30001  277103075328188377183803990472706280788348194416685899348198045968283448730751525708149: {1049615,1259538,1499450,1799340,1919296,1948895,2159208,2308691,2338674,2429109,3298130,3957756,5542415,5876668,6374451,6650898,8395240,9444645,9852563,10074288,10216019,11243625,11294543,11333574,11737731,11817215,11993200,13092083,13492350,14035763,14075090,14164931,14180658,14391840,15289631,15351296,15961751,16012803,16190820,16890108,17270208,18836663,19113842,19428984,20051090,21337203,21352211,21842330,21857607,22930311,23427938,23635871,23732111,24023351,24061308,24313895,25051431,26004412,26061191,26210796,26551763,27012194,27384371,27613391,28759895,29176674,29741474,32790863,33765530,34075463,34511874,34678439,35827319,36056188,37149160,37931090,38230131,39120530,39846611,39892691,39949298,40162034,40518636,40849671,40970063,41372931,41564471,41718611,41792805,41973551,42338543,42487820,43260796,44103554,44578992,45517308,45642179,45908018,46453895,46730354,46844090,46944636,47268578,47604311,48540191,48653416,49153631,50151366,50193311,50235303,50985384,51508840,51521591,51792771,52025663,52321631,52743671,52830003,53164631,54369215,54735093,55744674,56212908,56384531,56923730,57341639,57358557,57618028,57621263,57947445,58003203,58473203,58570031,58754015,60272978,60505415,61150348,61611591,61810608,61866983,62056154,64619891,65160825,65243058,66664511,67082882,67526540,68308476,68729171,68758312,69343130,69504880,69536934,69819591,70339874,70504818,70555132,71649842,71661928,71704730,72221618,72606498,73242911,74299139,74637938,74967959,76074434,76581311,77064143,77071895,77353101,77414056,77690492,78192990,79387091,80549330,80619669,81031848,81194738,82316090,82441679,83123378,83211756,83405856,84457223,84555651,85060551,86045676,87090813,87151631,87189794,87194771,87357640,87766874,87824711,88588803,88592543,89195615,89828111,89970914,90058895,90780314,91102503,91160829,91196812,91703831,91764551,91964858,92087025,92314130,92349443,92486274,93831588,94396943,94488863,95113191,95365331,95709971,96523763,96659196,96784559,97073858,97507432,98184530,98226160,98277345,98779308,99055571,99118514,99553538,...,21751335804568344990710089722415396224161766047767173252464271015891009744190921049973540841130464412897669393630981060577874110665569605136508638860490816668604256473554965854700564838458075582079546193349352236597700706653831032567261901001647383122489850143751493249634155830482688673074124232079879360615558000884158569215429031269674467502624701669172186489446773963386187911640324546869582552438556472769139276365594082957351116994171336627564079235998818936721030901317599789983034911580399185237100395715253670665926380925578233764695605909594381075026831184510575693598654455067815342661478593042753353551213793193261079116918875743582231283417384219722920887120165792178641017607459153006617935418763120670141837054113485498419892002182902712609846693252080310566925961485647857304753763220837792189579790522777954970501014001701346402040937383367785543858500988256663607067292921416605826569061300608453649036979139556185430135433293112417026204742912528196782761680591930593149647659279614939297417250352205026706947109578180709090897942157363661300073750950131352572783394063062046146129593114715395827322362570166952470610004606597871514429794305033180234412666877935783185885064127106282657456135223237875699101501933340623851648728339931544803312659381251851542056995969899157847113994777553228424802579969366794373826805743973701809143133798941154771162408087389858048135564536023974602131929307552440522007794404898997798504094680550558223114431799866164648286733738736770386464683213685113082292315932415231215764780421873447074886582228183275980525714236433029033394734627820694524794868916022871807673596464266212093590606361744463502814736628179301767981817118114612736279527176118740243829139822326178316710956699840157869050126792081140956013525449515327376558058988652582773432954877873194552181935736043262277281411676844460922262324391826164993881160069135454230479129414950097928762726784620614155768110106308914672780291045777936528210306715075172562429914424002007873605224278942626216435609270164683236506987291712152713468662311977868320293120065275644919079493762151725009542303416615535911196720355727951821228787884429414096897799799004404530498989842614367116243640050378264944998375651226330265173762134915080675110492939908404102452593054624452408401697828018782997414595802391597297485910275679051394770163774670035734073132929156947041261262138226125063139522848829641590260036428306015883937253761173017497535680741279329281550855274251038457266116384532133698255840025032196758523533581536087113625484096776556932822535994040333250313625466382345273190045821113647790874817066304218831281626423125206376536689482137608767107370467670086190660424086647867754077306594514574832468404337081673672394396109709262211731607972103323293132858910888781267793270886302528194891063744237864627268748427368240723081120993124143292491946276969115477962422747465028973561007261964587698708494969916868064562141633010036114611354596364201369867550597548148379703770804708665985218230401044223850734902873903046805148982210759206396927867678427286984898627843546883046810132295224991542675830050456903844945076687800530255749911840749030203153129729359344034465286445177633554225315913441699461725310829152061703024787202106945413318000681683293556200660349210848918258481765442078728448385284049453749378029867629814509993237577078767209219093276059903339227729704157116903241929305447675243987671443450803253654148052112688534786598491244471664592139519645432692220090177255225797314165914089789430421214339312165083889983083917707560537637585084005304512108442989979528761890099206470616900220821468703156567539826011616002384525128229040609941284061019924754619850024528641728213203295995647345139057286049062372539169641287631148833576041064396979714472808080431225455528948184904654571786809933231275779685017485634667693755908324888932567593104241540065124215174442757127307426344610334787521328009656024340534169702544250776802394026889406268437069822652996110447308140725171262519861640928122508858063301539998098687876528079304913304765573982398557918190886158055135585677838723101983559306311179617329005668938410717104848799539263637061232795176377635631337848720788428358137630523743416679734687686899146170384477175475154825377269106491032823386595894961773712342702744870883056643582239033689018679842647454198046059918965728919721593807710941291323230181703542313784651065472317413718945854205956421722121626283821403548462702473681719174982508084090958998753022781993578902422172102804889508673419952254547266928669571963303149175067478251458376679725041942893862529995878482524046179860953489486135352872508462852123127777962968658209241328060021807744217313286938215358909602860553155412882958395952438956321997473608736266668}
30002  277964773793811668815209059140952407645882371091022648922490712023714700368293585628132: {389857,569677,659758,1019422,1288237,1679384,1889307,2249175,2399120,2456638,2699010,2878944,3118232,3174382,3238812,3508011,4150957,4369342,4507501,4727518,4947195,4966222,5277008,5930797,5936634,7172401,7345835,7587742,8182462,8499268,8815002,8867864,8895598,9726862,9821101,9964222,9976347,10494050,10794478,11051617,11742382,12453601,12570958,12592860,12803377,13432384,14225758,14343838,14991500,15111432,15650308,16466542,16819822,17000361,17670001,17989800,18015457,18188077,18819022,18907544,19189120,19640878,19992862,20238525,20253901,21112635,21270987,21282238,21350404,21454177,21587760,21750622,21967501,22520144,23026944,23037358,23673901,23738398,24014317,24184417,24286230,24788878,25335162,25488478,25605022,25905312,27351262,28449604,28670763,29143476,29441998,30076635,30573748,30929377,31597537,32081744,32221582,32431117,32505515,32763495,32799502,33146062,33401908,33607918,33954142,34921057,34947728,35141907,35222398,35337598,35417101,35912497,36028462,36091962,36258622,36736717,37065901,38327182,38786158,38902232,39006618,39316194,39474142,39525601,40015597,40518291,40667917,40830817,41481697,42455857,42571739,43765011,44273902,44612211,44957278,45070235,45684337,46015832,46436450,47231038,47911918,47927137,48252142,48724717,49724782,50290462,50314477,50648295,50790001,50973508,51081742,51767811,52843117,53109775,54024848,54075995,54084282,54257377,54464062,54466228,54689038,54727501,55163908,55723740,56149822,56710942,56896635,57047422,57495838,58155277,58680795,59175118,59438656,59923947,60163523,60180958,60243051,60626317,60689744,60777954,60816770,60850798,61241197,62161357,62467501,62592848,62704187,62926177,63079438,63731730,63993901,64386050,64891194,65190718,65513101,66155331,66868488,66980404,67074862,67737299,67980512,68079217,68275962,68402062,68733502,68862027,69057028,69279601,70095531,70266135,70416954,70440004,70719118,70902867,71071537,71819998,72022535,72980124,73358542,74016958,74182477,74326232,74455582,74477101,74784382,74918497,74950544,75227049,75945901,76437935,76478076,77263260,77337604,78609742,79045678,80309101,80569438,81398603,81547342,81655918,82148788,82179697,82414144,82849198,82957582,83282638,83610337,83617011,83895601,84319362,84408175,84581422,84797662,84891757,85033777,85317601,85319003,85385595,85947890,86072207,86427042,86740942,86881100,86990744,87437101,88140001,88193915,88356382,88560877,89109022,89323918,89451803,89540401,89577410,90409467,90719182,91077968,91255102,91576462,91725522,91904557,92715912,93084231,93092788,94006424,94385101,95753101,95847502,96767570,96808664,97113115,97336318,97442542,97520737,97864587,98197357,98230643,99410737,...,32627003706852517486065134583623094336242649071650759878696406523836514616286381574960311261695696619346504090446471590866811165998354407704762958290736225002906384710332448782050847257687113373119319290024028354896551059980746548850892851502471074683734775215627239874451233745724033009611186348119819040923337001326237853823143546904511701253937052503758279734170160945079281867460486820304373828657834709153708914548391124436026675491257004941346118853998228405081546351976399684974552367370598777855650593572880505998889571388367350647043408864391571612540246776765863540397981682601723013992217889564130030326820689789891618675378313615373346925126076329584381330680248688267961526411188729509926903128144681005212755581170228247629838003274354068914770039878120465850388942228471785957130644831256688284369685784166932455751521002552019603061406075051678315787751482384995410600939382124908739853591950912680473555468709334278145203149939668625539307114368792295174142520887895889724471488919422408946125875528307540060420664367271063636346913236045491950110626425197028859175091094593069219194389672073093740983543855250428705915006909896807271644691457549770351619000316903674778827596190659423986184202834856813548652252900010935777473092509897317204968989071877777313085493954848736770670992166329842637203869954050191560740208615960552713714700698411732156743612131084787072203346804035961903197893961328660783011691607348496697756142020825837334671647699799246972430100608105155579697024820527669623438473898622846823647170632810170612329873342274913970788571354649543550092101941731041787192303374034307711510394696399318140385909542616695254222104942268952651972725677171919104419290764178110365743709733489267475066435049760236803575190188121711434020288174272991064837088482978874160149432316809791828272903604064893415922117515266691383393486587739247490821740103703181345718694122425146893144090176930921233652165159463372009170436568666904792315460072612758843644871636003011810407836418413939324653413905247024854760480937568229070202993467966802480439680097913467378619240643227587514313455124923303866795080533591927731843181826644121145346699698506606795748484763921550674365460075567397417497563476839495397760643202372621012665739409862606153678889581936678612602546742028174496121893703587395946228865413518577092155245662005053601109699393735420561891893207339187594709284273244462385390054642459023825905880641759526246303521111918993922326282911376557685899174576798200547383760037548295137785300372304130670438226145164835399233803991060499875470438199573517909785068731670471686312225599456328246922439634687809564805034223206413150661055701505129285990636129971801631115959891771862248702606505622510508591594164563893317597411958154984939699288366333171901689906329453792292336595616356796940903122641052361084621681489686214938737919415453673216943634121197543460341510892946881548062742454875302096843212449515054171917031894546302054801325896322222569555656207062998977827345601566335776102354310854570207723473316138809595391801517640930477347941765320324570215198442837487314013745075685355767417615031700795383624867761123545304729694594039016051697929667766450331337973870162549192587966243728092554537180803160418119977001022524940334300990523816273377387722648163118092672577926074180624067044801444721764989856365618150813828639914089855008841594556235675354862893958171512865981507165176204880481222078169032802179897736866707496888209279468149038330135265882838695971248871134684145631821508968247625834974625876561340806456377626007956768162664484969293142835148809705925350331232203054734851309739017424003576787692343560914911926091529887131929775036792962592319804943993471017708585929073593558808754461931446723250364061596595469571709212120646838183293422277356981857680214899846913669527526228452001540633862487333398851389656362310097686322761664135690961139516915502181281992014484036510801254553816376165203591040334109402655604733979494165670962211087756893779792461392183763287094952309997148031814792118957369957148360973597836877286329237082703378516758084652975338959466769425993508503407616075657273199308895455591849192764566453447006773081182642537206445785615125019602031530348719255576715763212732238065903659736549235079893842442660568514054117306324584965373358550533528019763971181297069089878448593379582390711566411936984845272555313470676976598208476120578418781308934632583182439425732105322694053710522578762473762126136438498129534172990368353633258154207334263010129928381820900393004357944954723762601217377187565019587562914340793794993817723786069269791430234229203029308762694278184691666944452987313861992090032711616325969930407323038364404290829733119324437593928658434482996210413104400002}
30003  278829136238899807227635478034542207511002244732730958652982058687796068678861741757461: {989637,1469461,1529133,2099230,2519076,2728453,2998900,3598680,3684957,3838592,3897790,4048515,4318416,4617382,4677348,4761573,4858218,6554013,6596260,7091277,7449333,7759381,7915512,8904951,10624085,11084830,11381613,11753336,12073477,12273693,12748902,13222503,13301796,13343397,14590293,14946333,15741075,16191717,16544101,16740373,16790480,17613573,18739375,18856437,18889290,19562885,19705126,20148576,20432038,21052741,21338637,21515757,22487250,22589086,22667148,23368301,23475462,23634430,23986400,24699813,25229733,26184166,26688005,26984700,28071526,28150180,28228533,28329862,28361316,28391233,28783680,29461317,29989293,30016781,30579262,30702592,31923357,31923502,32025606,32381640,32625933,33780216,34039453,34540416,34556037,35562005,35607597,36429345,36481013,37139597,37183317,37673326,38002743,38084341,38217185,38227684,38232717,38407533,38857968,40102180,40263853,40602797,40790501,41026893,41752385,42341377,42674406,42704422,43684660,43715214,44162997,45860622,45988577,46855876,47271742,47464222,48046702,48122616,48332373,48627790,49199253,49303813,49719093,50102862,50297201,50411877,50931213,52008824,52122382,52421592,52833597,53006397,53103526,53940757,54024388,54042693,54137943,54349901,54387933,54768742,55226782,55316533,56745557,57386033,57490773,57519790,58179237,58353348,58477117,58509927,58974291,59211213,59482948,60889153,63716885,65035453,65581726,66410853,67435917,67531060,68082785,68150926,68954885,69023748,69356878,69408917,69654675,70846557,71654638,71867877,72112376,72378213,73517453,74298320,74587173,75435693,75577121,75862180,76116901,76272317,76460262,76622613,77624333,78220637,78241060,79693222,79785382,79898596,80324068,81037272,81126423,81696093,81699342,81940126,82033557,82114901,82255621,82745862,83128942,83437222,83585610,83725505,83947102,84224733,84656141,84677086,84707581,84975640,85066413,85571133,85590877,86243757,86321285,86521592,87498017,87950357,88050005,88207108,88598497,88762677,89157984,90271437,91034616,91166931,91225155,91276197,91284358,91816036,92677301,92907790,93460708,93688180,93889272,94537156,94619157,95208622,95597595,96579075,96672005,97080382,97306832,97336791,97786077,98307262,99763361,...,48940505560278776229097701875434641504363973607476139818044609785754771924429572362440466892543544929019756135669707386300216748997531611557144437436104337504359577065498673173076270886530670059678978935036042532344826589971119823276339277253706612025602162823440859811676850618586049514416779522179728561385005501989356780734715320356767551880905578755637419601255241417618922801190730230456560742986752063730563371822586686654040013236885507412019178280997342607622319527964599527461828551055898166783475890359320758998334357082551025970565113296587357418810370165148795310596972523902584520988326834346195045490231034684837428013067470423060020387689114494376571996020373032401942289616783094264890354692217021507819133371755342371444757004911531103372155059817180698775583413342707678935695967246885032426554528676250398683627281503828029404592109112577517473681627223577493115901409073187363109780387926369020710333203064001417217804724909502938308960671553188442761213781331843834586707233379133613419188813292461310090630996550906595454520369854068237925165939637795543288762636641889603828791584508109640611475315782875643058872510364845210907467037186324655527428500475355512168241394285989135979276304252285220322978379350016403666209638764845975807453483607816665969628240932273105156006488249494763955805804931075287341110312923940829070572051047617598235115418196627180608305020206053942854796840941992991174517537411022745046634213031238756002007471549698870458645150912157733369545537230791504435157710847934270235470755949215255918494810013412370956182857031974315325138152912596562680788455061051461567265592044598977210578864313925042881333157413403428977959088515757878656628936146267165548615564600233901212599652574640355205362785282182567151030432261409486597255632724468311240224148475214687742409355406097340123883176272900037075090229881608871236232610155554772018578041183637720339716135265396381850478247739195058013755654853000357188473190108919138265467307454004517715611754627620908986980120857870537282140721406352343605304490201950203720659520146870201067928860964841381271470182687384955800192620800387891597764772739966181718020049547759910193622727145882326011548190113351096126246345215259243096640964803558931518998609114793909230518334372905017918903820113042261744182840555381093919343298120277865638232868493007580401664549090603130842837839811008781392063926409866693578085081963688535738858820962639289369455281667878490883489424367064836528848761865197300821075640056322442706677950558456196005657339217747253098850705986590749813205657299360276864677603097505707529468338399184492370383659452031714347207551334809619725991583552257693928985954194957702446673939837657793373053909758433765762887391246845839976396117937232477409548932549499757852534859494180688438504893424535195411354683961578541626932522234529322408106879123180509825415451181796315190512266339420322322094113682312953145264818674272581257875547841819453082201988844483333854333484310594498466741018402349503664153531466281855311585209974208214393087702276461395716021912647980486855322797664256230971020617613528033651126422547551193075437301641685317957094541891058524077546894501649675497006960805243823788881949365592138831805771204740627179965501533787410501451485785724410066081583972244677139008866889111270936100567202167082647484784548427226220742959871134782513262391834353513032294340937257269298972260747764307320721833117253549203269846605300061245332313919202223557495202898824258043956873306702026218447732263452371438752461938814842011209684566439011935152243996727453939714252723214558888025496848304582102276964608526136005365181538515341372367889137294830697894662555189443888479707415990206526562878893610390338213131692897170084875546092394893204357563818180970257274940133416035472786520322349770370504291289342678002310950793731000098277084484543465146529484142496203536441709275373253271922988021726054766201881830724564247805386560501164103983407100969241248506443316631635340669688692088275644930642428464995722047722188178436054935722541460396755315929493855624055067775137126979463008439200154138990262755111424113485909798963343183387773789146849680170510159621773963805809668678422687529403047295523078883365073644819098357098855489604823852619840763663990852771081175959486877448060037825800292029645956771945603634817672890069373586067349617905477267908832970206015464897312714180867628171963401948874773659138598157984041080565783868143710643189204657747194301259485552530449887231311001394515194892572731350589506536917432085643901826065781347529381344371511190692490726585679103904687145351343804543963144041417277037500416679480970792988135049067424488954895610984557546606436244599678986656390892987651724494315619656600003}
30004  279696170851228844500591417002694216490080532108377720743951719633446060260382747500751: {779714,1139354,1319516,2038844,2483443,2576474,3148845,3358768,3748625,3778614,3913363,4091779,4498350,4798240,4913276,4982779,5398020,5757888,5846685,6236464,6348764,6477624,6926073,7016022,7287327,7468003,7821883,8245325,8301914,8352163,8738684,9015002,9455036,9894390,9932444,10284169,10554016,11861594,11873268,12745963,13793779,14344802,14691670,14839003,15175484,15360643,16364924,16627245,16998536,17440723,17630004,17735728,17791196,18131779,18821683,19123353,19453724,19642202,19854379,19928444,19952694,20541403,20988100,21588956,22103234,22253923,22595563,23277979,23484764,24907202,24978979,25141916,25185720,25606754,25657363,26864768,27348283,28191043,28333935,28359379,28451516,28527643,28687676,29557689,29983000,30222864,30648057,31300616,31877803,32933084,33639644,33730875,33883629,34000722,34205779,35187725,35213193,35340002,35451645,35979600,36030914,36376154,37342603,37506979,37638044,37815088,38378240,38983123,39276249,39281756,39310363,39985724,40477050,40507802,40942243,42107289,42225270,42404779,42494793,42541974,42564476,42700808,42908354,43052923,43175520,43501244,43935002,44668243,45040288,45473203,45507721,45868893,46053888,46074716,47347802,47476796,47784605,47885253,48028634,48036979,48038409,48368834,48572460,48675043,49577756,50127725,50670324,50976956,51210044,51373963,51810624,53580979,54605825,54702524,55305163,56086003,56509989,56899208,57341526,57642283,58262779,58286952,58569845,58882123,58883996,59963203,60153270,61147496,61501483,61858754,62114779,62879779,63098329,63195074,64011609,64056633,64163488,64443164,64862234,65011030,65012203,65163979,65526990,65572821,65599004,66073123,66292124,66803816,66828763,67215836,67530485,67908284,68184379,68790933,69842114,69895456,70283814,70444796,70675196,70834202,70907613,71196333,71824994,72056924,72070053,72183924,72517244,72941685,73473434,74131802,74353685,75154293,75706393,76654364,77572316,77656123,77804464,78013236,78183573,78528979,78632388,78948284,79051202,79254379,79655289,80031194,81036582,81275923,81335834,81563563,81661634,82153113,82840173,82963394,82997443,83375897,84413825,84911714,85143478,85560283,85843603,86268043,86279685,87530022,88547804,88660963,89224422,89779843,89914556,90140470,90615979,90755083,91368674,92031664,92556883,92872900,94462076,94620763,94827725,95239661,95441779,95823836,95854274,96198349,96504284,97449434,97801325,98372589,98834779,99449564,99873245,...,65254007413705034972130269167246188672485298143301519757392813047673029232572763149920622523391393238693008180892943181733622331996708815409525916581472450005812769420664897564101694515374226746238638580048056709793102119961493097701785703004942149367469550431254479748902467491448066019222372696239638081846674002652475707646287093809023402507874105007516559468340321890158563734920973640608747657315669418307417829096782248872053350982514009882692237707996456810163092703952799369949104734741197555711301187145761011997779142776734701294086817728783143225080493553531727080795963365203446027984435779128260060653641379579783237350756627230746693850252152659168762661360497376535923052822377459019853806256289362010425511162340456495259676006548708137829540079756240931700777884456943571914261289662513376568739371568333864911503042005104039206122812150103356631575502964769990821201878764249817479707183901825360947110937418668556290406299879337251078614228737584590348285041775791779448942977838844817892251751056615080120841328734542127272693826472090983900221252850394057718350182189186138438388779344146187481967087710500857411830013819793614543289382915099540703238000633807349557655192381318847972368405669713627097304505800021871554946185019794634409937978143755554626170987909697473541341984332659685274407739908100383121480417231921105427429401396823464313487224262169574144406693608071923806395787922657321566023383214696993395512284041651674669343295399598493944860201216210311159394049641055339246876947797245693647294341265620341224659746684549827941577142709299087100184203883462083574384606748068615423020789392798636280771819085233390508444209884537905303945451354343838208838581528356220731487419466978534950132870099520473607150380376243422868040576348545982129674176965957748320298864633619583656545807208129786831844235030533382766786973175478494981643480207406362691437388244850293786288180353861842467304330318926744018340873137333809584630920145225517687289743272006023620815672836827878649306827810494049709520961875136458140405986935933604960879360195826934757238481286455175028626910249846607733590161067183855463686363653288242290693399397013213591496969527843101348730920151134794834995126953678990795521286404745242025331478819725212307357779163873357225205093484056348992243787407174791892457730827037154184310491324010107202219398787470841123783786414678375189418568546488924770780109284918047651811761283519052492607042223837987844652565822753115371798349153596401094767520075096590275570600744608261340876452290329670798467607982120999750940876399147035819570137463340943372624451198912656493844879269375619129610068446412826301322111403010258571981272259943603262231919783543724497405213011245021017183188329127786635194823916309969879398576732666343803379812658907584584673191232713593881806245282104722169243362979372429877475838830907346433887268242395086920683021785893763096125484909750604193686424899030108343834063789092604109602651792644445139111312414125997955654691203132671552204708621709140415446946632277619190783603035281860954695883530640649140430396885674974628027490151370711534835230063401590767249735522247090609459389188078032103395859335532900662675947740325098385175932487456185109074361606320836239954002045049880668601981047632546754775445296326236185345155852148361248134089602889443529979712731236301627657279828179710017683189112471350709725787916343025731963014330352409760962444156338065604359795473733414993776418558936298076660270531765677391942497742269368291263643017936495251669949251753122681612912755252015913536325328969938586285670297619411850700662464406109469702619478034848007153575384687121829823852183059774263859550073585925184639609887986942035417171858147187117617508923862893446500728123193190939143418424241293676366586844554713963715360429799693827339055052456904003081267724974666797702779312724620195372645523328271381922279033831004362563984028968073021602509107632752330407182080668218805311209467958988331341924422175513787559584922784367526574189904619994296063629584237914739914296721947195673754572658474165406757033516169305950677918933538851987017006815232151314546398617790911183698385529132906894013546162365285074412891571230250039204063060697438511153431526425464476131807319473098470159787684885321137028108234612649169930746717101067056039527942362594138179756897186759164781423132823873969690545110626941353953196416952241156837562617869265166364878851464210645388107421045157524947524252272876996259068345980736707266516308414668526020259856763641800786008715889909447525202434754375130039175125828681587589987635447572138539582860468458406058617525388556369383333888905974627723984180065423232651939860814646076728808581659466238648875187857316868965992420826208800004}
30005  280565885843593178463755555095476843896985050789223145199145646963761546711847501289168: {1169571,1649395,1709031,1979274,2548555,2938922,3058266,3627943,3864711,4198460,5038152,5456906,5667921,5997800,6141595,6747525,7197360,7369914,7677184,7795580,7935955,8097030,8636832,9234764,9354696,9523146,9716436,10524033,10923355,11818795,12415555,12452871,13108026,13192520,13522503,14182554,14769787,14841585,14873719,14898666,15482599,15518762,15831024,15848311,17792391,17809902,18969355,20456155,20873059,21248170,21517203,22037505,22056199,22169660,22238995,22763226,23506672,24026563,24146954,24317155,24547386,24910555,25185427,25497804,26235125,26445006,26603592,26686794,26986195,27388039,27617083,29180586,29355955,29463303,29892666,29929041,31034299,31427395,31482150,32383434,33088202,33154851,33480746,33548167,33580960,34080019,35227146,35564395,35859595,36109819,37142083,37360803,37363207,37478750,37712874,37778580,38410131,39125770,39410252,40297152,40864076,41166355,41724199,41979163,42049555,42105482,42677274,43031514,43032583,43603639,43892251,44974500,45178172,45334296,45399259,46736602,46950924,47047555,47268860,47972800,49102195,49160203,49399626,49786807,49982155,50459466,51001083,51187987,51528499,52032619,52368332,52750723,53010003,53205595,53376010,53504059,53969400,54046371,54353539,54376555,54564231,55365787,56143052,56300360,56457066,56659724,56722632,56782466,57567360,57593395,57650059,58453339,58922634,59345995,59978586,60033562,60715575,60744007,60761703,61158524,61405184,61972195,62616103,63337905,63721195,63812961,63846714,63847004,64012555,64051212,64137331,64362531,64763280,65251866,65902503,67062931,67560432,68078906,68378155,69080832,69112074,69413563,69522979,70783351,71021703,71124010,71215194,72042951,72553251,72858690,72962026,73604995,74279194,74366634,74891611,75346652,76005486,76168682,76277443,76434370,76455368,76465434,76591579,76815066,77715936,78875203,80204360,80527706,80553955,81205594,81581002,81998755,82053786,82865155,83504770,84019795,84049627,84468547,84682754,84885355,85348812,85408844,86012289,87369320,87430428,88055995,88325994,88343995,88604263,89203639,89230651,89941063,90071155,90140011,90229905,90547699,90646555,91721244,91977154,92442571,92788131,93532363,93711752,94409587,94543484,94615687,94792611,94928444,95315899,95817955,96093404,96245232,96536839,96664746,96965395,97044883,97255580,97293351,97516545,97861051,98290485,98391547,98398506,98607626,98685355,99068839,99438186,...,97881011120557552458195403750869283008727947214952279636089219571509543848859144724880933785087089858039512271339414772600433497995063223114288874872208675008719154130997346346152541773061340119357957870072085064689653179942239646552678554507413224051204325646881719623353701237172099028833559044359457122770011003978713561469430640713535103761811157511274839202510482835237845602381460460913121485973504127461126743645173373308080026473771014824038356561994685215244639055929199054923657102111796333566951780718641517996668714165102051941130226593174714837620740330297590621193945047805169041976653668692390090980462069369674856026134940846120040775378228988753143992040746064803884579233566188529780709384434043015638266743510684742889514009823062206744310119634361397551166826685415357871391934493770064853109057352500797367254563007656058809184218225155034947363254447154986231802818146374726219560775852738041420666406128002834435609449819005876617921343106376885522427562663687669173414466758267226838377626584922620181261993101813190909040739708136475850331879275591086577525273283779207657583169016219281222950631565751286117745020729690421814934074372649311054857000950711024336482788571978271958552608504570440645956758700032807332419277529691951614906967215633331939256481864546210312012976498989527911611609862150574682220625847881658141144102095235196470230836393254361216610040412107885709593681883985982349035074822045490093268426062477512004014943099397740917290301824315466739091074461583008870315421695868540470941511898430511836989620026824741912365714063948630650276305825193125361576910122102923134531184089197954421157728627850085762666314826806857955918177031515757313257872292534331097231129200467802425199305149280710410725570564365134302060864522818973194511265448936622480448296950429375484818710812194680247766352545800074150180459763217742472465220311109544037156082367275440679432270530792763700956495478390116027511309706000714376946380217838276530934614908009035431223509255241817973960241715741074564281442812704687210608980403900407441319040293740402135857721929682762542940365374769911600385241600775783195529545479932363436040099095519820387245454291764652023096380226702192252492690430518486193281929607117863037997218229587818461036668745810035837807640226084523488365681110762187838686596240555731276465736986015160803329098181206261685675679622017562784127852819733387156170163927377071477717641925278578738910563335756981766978848734129673057697523730394601642151280112644885413355901116912392011314678435494506197701411973181499626411314598720553729355206195011415058936676798368984740767318904063428694415102669619239451983167104515387857971908389915404893347879675315586746107819516867531525774782493691679952792235874464954819097865098999515705069718988361376877009786849070390822709367923157083253865044469058644816213758246361019650830902363592630381024532678840644644188227364625906290529637348545162515751095683638906164403977688966667708666968621188996933482036804699007328307062932563710623170419948416428786175404552922791432043825295960973710645595328512461942041235227056067302252845095102386150874603283370635914189083782117048155093789003299350994013921610487647577763898731184277663611542409481254359931003067574821002902971571448820132163167944489354278017733778222541872201134404334165294969569096854452441485919742269565026524783668707026064588681874514538597944521495528614641443666234507098406539693210600122490664627838404447114990405797648516087913746613404052436895464526904742877504923877629684022419369132878023870304487993454907879428505446429117776050993696609164204553929217052272010730363077030682744735778274589661395789325110378887776959414831980413053125757787220780676426263385794340169751092184789786408715127636361940514549880266832070945573040644699540741008582578685356004621901587462000196554168969086930293058968284992407072883418550746506543845976043452109532403763661449128495610773121002328207966814201938482497012886633263270681339377384176551289861284856929991444095444376356872109871445082920793510631858987711248110135550274253958926016878400308277980525510222848226971819597926686366775547578293699360341020319243547927611619337356845375058806094591046157766730147289638196714197710979209647705239681527327981705542162351918973754896120075651600584059291913543891207269635345780138747172134699235810954535817665940412030929794625428361735256343926803897749547318277196315968082161131567736287421286378409315494388602518971105060899774462622002789030389785145462701179013073834864171287803652131562695058762688743022381384981453171358207809374290702687609087926288082834554075000833358961941585976270098134848977909791221969115093212872489199357973312781785975303448988631239313200006}
30006  281438289453881551520761120597717272139696512645078119221126436880175001179892899305286: {509813,689609,1408073,1559428,1766873,2278708,2364233,2639032,2662613,2968911,3794633,4077688,4151513,4408383,4587399,4966886,5152948,5161109,5248075,6297690,6717536,7497250,7557228,7826726,8183558,8185359,8411609,8996700,9596480,9744475,9826552,9965558,9998453,10796040,11053109,11054871,11515776,11543455,11693370,12145545,12396953,12472928,12697528,12805109,12955248,12979913,13852146,14032044,14143433,14284719,14574654,14936006,15419609,15643766,16490650,16576409,16603828,16704326,16749653,16980533,17477368,17845193,18030004,18133013,18190553,18880409,18910072,19339673,19662039,19741109,19788780,19864888,20568338,20771573,21057353,21108032,21273831,22347999,23278143,23279573,23723188,23746536,24131033,24471113,24867509,25037273,25491926,25546133,25715609,26714853,27012533,27518873,27587558,27712075,28529609,28689604,28921973,29383340,29678006,30350968,30721286,31713173,31872255,32729848,33254490,33544409,33997072,34144839,34373909,34881446,34925909,35036213,35260008,35471456,35582392,36220431,36263558,36686933,36821079,36851609,37400009,37643366,37838153,38246706,38907448,39284404,39667509,39708758,39856888,39905388,40021193,40030191,40293173,40782233,40945109,41082806,41324873,41650073,41976200,42461813,42569909,43177912,43770879,43918409,44206468,44348873,44507846,44563913,44838999,45191126,45369173,45797909,45958553,46555958,46969528,46974293,47223225,48040373,48093593,48359573,48575151,48731609,49262815,49632303,49814404,49957958,50162933,50221119,50283832,50371440,50427353,51080095,51213508,51314726,51377609,52840719,53584793,53729536,54683093,54696566,55465433,55673753,56218125,56382086,56472715,56569311,56667870,56718758,56903032,57024713,57055286,57375352,57387509,57646409,58266953,58318613,58688655,58937909,59086075,59115378,59966000,60445728,60635033,61250009,61296114,61352393,61505909,62170313,62272409,62601232,62884313,62935253,63037109,63158223,63755606,63952373,64015911,64547271,64561109,65460415,65866168,65977013,66833609,66898447,67279288,67461750,67767258,67938713,68001444,68189333,68411558,69987893,70104903,70178815,70187093,70375450,70426386,70680004,70734233,70824655,70903290,71478773,71959200,72061828,72752308,73159733,73898393,74099439,74438933,74685206,75013958,75027509,75276088,75370313,75630176,75689199,76448155,76756480,77966246,78098633,78534773,78552498,78563512,78620726,78680009,79549913,79808755,79971448,80064015,80128409,80954100,81015604,81473753,81884486,81997783,82908233,84214578,84450540,84685599,84809558,84989586,84999113,85083948,85128952,85173699,85401616,85816708,86105846,86351040,86462933,87002488,87870004,88293593,88383951,88433909,88574153,88667609,89336486,89507273,89833109,89967879,90050343,90080576,90946406,91015442,91225109,91595093,91737786,92010713,92107776,92149432,93161813,93391433,93850073,94079093,94183315,94542679,94673609,94695604,94953592,95221193,95357909,95569210,95770071,95770506,96057268,96073958,96076818,96403673,96737668,97144920,97264373,97350086,97535573,97877799,98212313,98535151,98887253,99111833,99155512,99515573,99650009,...,146821516680836328687293105626303924513091920822428419454133829357264315773288717087321400677630634787059268407009122158900650246992594834671433312308313012513078731196496019519228812659592010179036936805108127597034479769913359469829017831761119836076806488470322579435030551855758148543250338566539185684155016505968070342204145961070302655642716736266912258803765724252856768403572190691369682228960256191191690115467760059962120039710656522236057534842992027822866958583893798582385485653167694500350427671077962276995003071247653077911695339889762072256431110495446385931790917571707753562964980503038585136470693104054512284039202411269180061163067343483129715988061119097205826868850349282794671064076651064523457400115266027114334271014734593310116465179451542096326750240028123036807087901740655097279663586028751196050881844511484088213776327337732552421044881670732479347704227219562089329341163779107062130999609192004251653414174728508814926882014659565328283641343995531503760121700137400840257566439877383930271892989652719786363561109562204713775497818913386629866287909925668811486374753524328921834425947348626929176617531094535632722401111558973966582285501426066536504724182857967407937828912756855660968935138050049210998628916294537927422360450823449997908884722796819315468019464748484291867417414793225862023330938771822487211716153142852794705346254589881541824915060618161828564390522825978973523552612233068235139902639093716268006022414649096611375935452736473200108636611692374513305473132543802810706412267847645767755484430040237112868548571095922945975414458737789688042365365183154384701796776133796931631736592941775128643999472240210286933877265547273635969886808438801496645846693800701703637798957723921065616088355846547701453091296784228459791766898173404933720672445425644063227228066218292020371649528818700111225270689644826613708697830466664316055734123550913161019148405796189145551434743217585174041266964559001071565419570326757414796401922362013553146835263882862726960940362573611611846422164219057030815913470605850611161978560440610603203786582894524143814410548062154867400577862401163674793294318219898545154060148643279730580868181437646978034644570340053288378739035645777729289922894410676794556995827344381727691555003118715053756711460339126785232548521666143281758029894360833596914698605479022741204993647271809392528513519433026344176191779229600080734255245891065607216576462887917868108365845003635472650468273101194509586546285595591902463226920168967328120033851675368588016972017653241759296552117959772249439616971898080830594032809292517122588405015197553477111150978356095143041622654004428859177974750656773081786957862584873107340021819512973380119161729275301297288662173740537519929188353811697432228646797648499273557604578482542065315514680273605586234064051884735624880797566703587967224320637369541529476246353545388945571536799018260966966282341046938859435794456022817743773626643525458359246605966533450001563000452931783495400223055207048510992460594398845565934755629922624643179263106829384187148065737943941460565968392992768692913061852840584100953379267642653579226311904925055953871283625673175572232640683504949026491020882415731471366645848096776416495417313614221881539896504601362231504354457357173230198244751916734031417026600667333812808301701606501247942454353645281678662228879613404347539787175503060539096883022811771807896916782243292921962165499351760647609809539815900183735996941757606670672485608696472774131870619920106078655343196790357114316257385816444526033629053699317035805456731990182361819142758169643676664076490544913746306830893825578408016095544615546024117103667411884492093683987665568331665439122247970619579688636680831171014639395078691510254626638277184679613072691454542910771824820400248106418359560967049311111512873868028034006932852381193000294831253453630395439588452427488610609325127826119759815768964065178164298605645492173692743416159681503492311950221302907723745519329949894906022009066076264826934791927285394987166143166564535308164807167624381190265947788481566872165203325411380938389025317600462416970788265334272340457729396890029550163321367440549040511530478865321891417429006035268062588209141886569236650095220934457295071296566468814471557859522290991972558313243527878460632344180113477400876088937870315836810904453018670208120758202048853716431803726498910618046394691938142542602884515890205846624320977415794473952123241697351604431131929567613973241582903778456657591349661693933004183545584677718194051768519610752296256931705478197344042588144033114533572077472179757037311714061436054031413631889432124251831112501250038442912378964405147202273466864686832953672639819308733799036959969172678962955173482946858969800009}
30007  282313389945153278986865179135319609994761140494652354361491267098112281584894432809336: {1949285,2309153,2339142,2848385,3298790,3418062,3567977,3958548,4287569,5097110,5877844,6116532,6441185,7255886,7450329,7729422,8396920,8598233,9446535,10076304,10913812,11110337,11245875,11335842,11740089,11995600,12193313,12275337,12283190,13495050,14394720,14739828,14948337,15292697,15354368,15591160,15788393,15871910,16194060,16507409,16546313,17273664,17381777,17540055,18297617,18469528,18709392,19046292,19432872,20754785,20778219,21048066,21846710,21861981,21891257,22404009,22537505,23328713,23465649,23637590,24735975,24831110,24905742,25056489,25484897,25997873,26066417,26216052,26385040,26557097,26922353,27045006,28365108,28395029,28638617,29539574,29653985,29683170,29747438,29797332,30852507,30965198,31037524,31134593,31662048,31696622,34044017,34685393,34874777,35584782,35619804,35862005,36729175,37126997,37780673,37938710,38089433,38237889,40358033,40912310,41098337,41381337,41746118,42496340,43034406,43895189,43998353,44075010,44112398,44339320,44477990,44517009,45526452,46081929,46102097,47013344,47613857,48053126,48293908,48634310,49094772,49105505,49310417,49790153,49821110,49881735,50203433,50370854,50856689,50995608,52322169,52470250,52890012,52923173,53207184,53373588,53490569,53972390,54395337,54718193,54776078,55234166,55258085,55323929,55369493,56465049,57370059,57632897,58361172,58667237,58711910,58869377,58926606,59563137,59785332,59858082,60462257,60748073,60897317,61624209,61879409,62068598,62268005,62854790,62964300,63271769,64016885,64474217,64766868,65866577,66176404,66309702,66761769,66961492,67096334,67161920,67786689,68160038,68743073,69833937,69975017,70454292,70537913,70788089,71128790,71719190,72219638,74000849,74284166,74487833,74721606,74726414,74936937,74957500,75425748,75557160,76127177,76820262,76972089,77702153,78251540,78820504,79624277,80594304,80630753,81728152,82044849,82332710,83084393,83448398,83958326,84055253,84099110,84210964,84573129,85001805,85078137,85354548,85582929,85602353,86063028,86065166,86761073,87207278,87784502,88350005,88673067,89209673,89617577,89846153,89949000,90077285,90146069,90356344,90668592,90798518,90940385,91944171,93216149,93473204,93901848,94095110,94537720,95384489,95633409,95729417,95945600,98204390,98320406,98398133,98799252,99573614,99964310,...,195762022241115104916390807501738566017455894429904559272178439143019087697718289449761867570174179716079024542678829545200866995990126446228577749744417350017438308261994692692305083546122680238715915740144170129379306359884479293105357109014826448102408651293763439246707402474344198057667118088718914245540022007957427122938861281427070207523622315022549678405020965670475691204762920921826242971947008254922253487290346746616160052947542029648076713123989370430489278111858398109847314204223592667133903561437283035993337428330204103882260453186349429675241480660595181242387890095610338083953307337384780181960924138739349712052269881692240081550756457977506287984081492129607769158467132377059561418768868086031276533487021369485779028019646124413488620239268722795102333653370830715742783868987540129706218114705001594734509126015312117618368436450310069894726508894309972463605636292749452439121551705476082841332812256005668871218899638011753235842686212753771044855125327375338346828933516534453676755253169845240362523986203626381818081479416272951700663758551182173155050546567558415315166338032438562445901263131502572235490041459380843629868148745298622109714001901422048672965577143956543917105217009140881291913517400065614664838555059383903229813934431266663878512963729092420624025952997979055823223219724301149364441251695763316282288204190470392940461672786508722433220080824215771419187363767971964698070149644090980186536852124955024008029886198795481834580603648630933478182148923166017740630843391737080941883023796861023673979240053649483824731428127897261300552611650386250723153820244205846269062368178395908842315457255700171525332629653613715911836354063031514626515744585068662194462258400935604850398610298561420821451141128730268604121729045637946389022530897873244960896593900858750969637421624389360495532705091600148300360919526435484944930440622219088074312164734550881358864541061585527401912990956780232055022619412001428753892760435676553061869229816018070862447018510483635947920483431482149128562885625409374421217960807800814882638080587480804271715443859365525085880730749539823200770483201551566391059090959864726872080198191039640774490908583529304046192760453404384504985380861036972386563859214235726075994436459175636922073337491620071675615280452169046976731362221524375677373192481111462552931473972030321606658196362412523371351359244035125568255705639466774312340327854754142955435283850557157477821126671513963533957697468259346115395047460789203284302560225289770826711802233824784022629356870989012395402823946362999252822629197441107458710412390022830117873353596737969481534637808126857388830205339238478903966334209030775715943816779830809786695759350631173492215639033735063051549564987383359905584471748929909638195730197999031410139437976722753754019573698140781645418735846314166507730088938117289632427516492722039301661804727185260762049065357681289288376454729251812581059274697090325031502191367277812328807955377933335417333937242377993866964073609398014656614125865127421246340839896832857572350809105845582864087650591921947421291190657024923884082470454112134604505690190204772301749206566741271828378167564234096310187578006598701988027843220975295155527797462368555327223084818962508719862006135149642005805943142897640264326335888978708556035467556445083744402268808668330589939138193708904882971839484539130053049567337414052129177363749029077195889042991057229282887332469014196813079386421200244981329255676808894229980811595297032175827493226808104873790929053809485755009847755259368044838738265756047740608975986909815758857010892858235552101987393218328409107858434104544021460726154061365489471556549179322791578650220757775553918829663960826106251515574441561352852526771588680339502184369579572817430255272723881029099760533664141891146081289399081482017165157370712009243803174924000393108337938173860586117936569984814145766837101493013087691952086904219064807527322898256991221546242004656415933628403876964994025773266526541362678754768353102579722569713859982888190888752713744219742890165841587021263717975422496220271100548507917852033756800616555961051020445696453943639195853372733551095156587398720682040638487095855223238674713690750117612189182092315533460294579276393428395421958419295410479363054655963411084324703837947509792240151303201168118583827087782414539270691560277494344269398471621909071635331880824061859589250856723470512687853607795499094636554392631936164322263135472574842572756818630988777205037942210121799548925244005578060779570290925402358026147669728342575607304263125390117525377486044762769962906342716415618748581405375218175852576165669108150001666717923883171952540196269697955819582443938230186425744978398715946625563571950606897977262478626400012}
30008  283191195605714707629572804544001194310254700839831524545017133753506191172851218491449: {569791,1019626,1379218,1826767,2816146,3118856,3508713,3533746,3794887,4557416,4686607,4728466,4948185,5127093,5278064,5325226,5937822,7347305,7589266,7645665,8155376,8303026,8816766,9174798,9933772,9999127,10305896,10322218,10496150,10878247,10883829,11229391,11594133,11755567,12105991,12456127,12595380,12980791,13435072,13642265,14994500,15114456,15653452,16160837,16367116,16370718,16808527,16823218,17003763,17846407,17993400,18191791,18424785,19192960,19398367,19488950,19653104,19931116,19996906,20242575,21592080,21629791,22106218,22109742,22143007,22996927,23031552,23086910,23386740,23807865,24189391,24291090,24793906,24945856,25395056,25547887,25610218,25910496,25959826,26394607,27704292,28064088,28286866,28569438,28755847,29149308,29872012,30839218,31287532,31437127,31572099,32604391,32770065,32981300,33152818,33207656,33408652,33499306,33768127,33961066,34597207,34954736,35456385,35589727,35690386,35919991,36060008,36266026,36381106,36744391,37238167,37246665,37358613,37760818,37820144,37895527,38679346,38796905,39324078,39482218,39533887,39577560,39729776,40567509,40839391,41136676,41543146,41652991,41977927,42114706,42216064,42547662,43598287,44309361,44524755,44621157,44695998,44889391,45372367,46015327,46447797,46556286,46559146,46977607,47446376,47493072,47544933,48096991,48262066,48942226,49735018,50074546,50483791,50983852,51092266,51431218,53120425,53377173,53429706,54025066,54739207,55037746,55175116,55424150,56301967,56908065,57059218,57379208,57843946,58322791,58766680,59356012,60177367,60367385,60701936,61368465,61442572,62619177,62939791,63426346,63744510,64007767,64551609,65459696,65678887,66112515,66168597,66508980,66716985,67088818,67943647,67994144,68289678,68747818,68967941,69294727,69762892,69851818,70042807,70072426,70520016,70942912,71164784,71512133,72079689,72424567,72440862,72527116,72951465,73017127,73373866,73642158,73703218,74493487,74731665,74800018,74934991,75286732,75375847,75556281,75676306,76109167,76493412,77814896,78568808,78705375,79024447,79061801,79335018,79417516,79713776,79810776,80042386,80060382,80586346,80958585,81564466,81890218,82164117,82165612,82197991,82484767,82649746,82720505,82851249,83300146,83701865,83952400,84923626,85052791,85139818,85478527,86355824,87456727,87541758,87836818,88067865,88300207,88389909,88412936,88697746,89015692,89127826,89560567,89677998,89787123,90382252,90738346,91595818,91644581,91917106,92063791,93030967,93102897,93111916,93444391,93696875,93939056,93948586,94131991,94282185,94406527,94446450,95911327,96080746,96187186,96719146,97136047,97150302,97463218,97814425,98250341,98525630,99154517,99264606,99464553,99628808,99915916,...,293643033361672657374586211252607849026183841644856838908267658714528631546577434174642801355261269574118536814018244317801300493985189669342866624616626025026157462392992039038457625319184020358073873610216255194068959539826718939658035663522239672153612976940645158870061103711516297086500677133078371368310033011936140684408291922140605311285433472533824517607531448505713536807144381382739364457920512382383380230935520119924240079421313044472115069685984055645733917167787597164770971306335389000700855342155924553990006142495306155823390679779524144512862220990892771863581835143415507125929961006077170272941386208109024568078404822538360122326134686966259431976122238194411653737700698565589342128153302129046914800230532054228668542029469186620232930358903084192653500480056246073614175803481310194559327172057502392101763689022968176427552654675465104842089763341464958695408454439124178658682327558214124261999218384008503306828349457017629853764029319130656567282687991063007520243400274801680515132879754767860543785979305439572727122219124409427550995637826773259732575819851337622972749507048657843668851894697253858353235062189071265444802223117947933164571002852133073009448365715934815875657825513711321937870276100098421997257832589075854844720901646899995817769445593638630936038929496968583734834829586451724046661877543644974423432306285705589410692509179763083649830121236323657128781045651957947047105224466136470279805278187432536012044829298193222751870905472946400217273223384749026610946265087605621412824535695291535510968860080474225737097142191845891950828917475579376084730730366308769403593552267593863263473185883550257287998944480420573867754531094547271939773616877602993291693387601403407275597915447842131232176711693095402906182593568456919583533796346809867441344890851288126454456132436584040743299057637400222450541379289653227417395660933328632111468247101826322038296811592378291102869486435170348082533929118002143130839140653514829592803844724027106293670527765725453921880725147223223692844328438114061631826941211701222323957120881221206407573165789048287628821096124309734801155724802327349586588636439797090308120297286559461161736362875293956069289140680106576757478071291555458579845788821353589113991654688763455383110006237430107513422920678253570465097043332286563516059788721667193829397210958045482409987294543618785057027038866052688352383558459200161468510491782131214433152925775835736216731690007270945300936546202389019173092571191183804926453840337934656240067703350737176033944035306483518593104235919544498879233943796161661188065618585034245176810030395106954222301956712190286083245308008857718355949501313546163573915725169746214680043639025946760238323458550602594577324347481075039858376707623394864457293595296998547115209156965084130631029360547211172468128103769471249761595133407175934448641274739083058952492707090777891143073598036521933932564682093877718871588912045635487547253287050916718493211933066900003126000905863566990800446110414097021984921188797691131869511259845249286358526213658768374296131475887882921131936785985537385826123705681168201906758535285307158452623809850111907742567251346351144465281367009898052982041764831462942733291696193552832990834627228443763079793009202724463008708914714346460396489503833468062834053201334667625616603403213002495884908707290563357324457759226808695079574351006121078193766045623543615793833564486585843924330998703521295219619079631800367471993883515213341344971217392945548263741239840212157310686393580714228632514771632889052067258107398634071610913463980364723638285516339287353328152981089827492613661787651156816032191089231092048234207334823768984187367975331136663330878244495941239159377273361662342029278790157383020509253276554369359226145382909085821543649640800496212836719121934098622223025747736056068013865704762386000589662506907260790879176904854977221218650255652239519631537928130356328597211290984347385486832319363006984623900442605815447491038659899789812044018132152529653869583854570789974332286333129070616329614335248762380531895576963133744330406650822761876778050635200924833941576530668544680915458793780059100326642734881098081023060957730643782834858012070536125176418283773138473300190441868914590142593132937628943115719044581983945116626487055756921264688360226954801752177875740631673621808906037340416241516404097707432863607452997821236092789383876285085205769031780411693248641954831588947904246483394703208862263859135227946483165807556913315182699323387866008367091169355436388103537039221504592513863410956394688085176288066229067144154944359514074623428122872108062827263778864248503662225002500076885824757928810294404546933729373665907345279638617467598073919938345357925910346965893717939600018}
30009  284071714749195905103342451461772571235154341541479660073969962942638318926613356109906: {1529439,2068827,2728999,3898570,3987739,4224219,4618306,4678284,5067127,5300619,5696770,6597580,6836124,7092699,7135954,7917096,7987839,8575138,8906733,9017659,10194220,11383899,11755688,12233064,12417215,12454539,12882370,13225149,13762197,14410279,14511772,14900658,15458844,15483327,15744225,16793840,17196466,17645851,18743125,18893070,19566815,20152608,20458895,21827624,22220674,22491750,22671684,23372987,23480178,23991200,24386626,24466699,24550674,24556077,24566380,24913895,25234827,26990100,28779067,28789440,29056699,29233425,29479656,29896674,29995359,30585394,30708736,30724759,31182320,31552507,31576786,31743820,32388120,33014818,33092626,33159327,33164613,34547328,34630365,34763554,35080110,36114647,36436635,36595234,36939056,37190859,37340015,37418784,38092584,38415327,38865744,38939739,39109415,40610939,41226625,41494879,41509570,41515579,41556438,41760815,42096132,42430299,42854157,43038347,43693420,43723962,43782514,44808018,45075010,45997799,46258827,46657426,46931298,47275180,49471950,49662220,49729227,49811484,50112978,50206807,50248959,50307287,50941599,50969794,51194831,51420845,51995746,52132834,52432104,52770080,53114194,53535579,53844706,54090012,54399039,54571659,56573047,56641227,56730216,56790058,57277234,57397559,57657767,58019019,58713611,58986117,59079148,59223327,59307970,59366340,59494876,59594664,61705014,61883551,61930396,62075048,62269186,62314719,63172059,63216127,63324096,63393244,63729815,63821493,67043997,68088034,68747707,68968895,69370786,69749554,69834429,69838719,71169564,71239608,71724010,72059419,72393099,73413339,73458350,73532219,74195015,74253994,74602527,74775727,75111819,75561346,75877420,76178866,76475778,76638399,76803215,77146827,77361319,77639927,78236411,78836491,80144559,80716066,81037599,81824620,82196674,82556619,82762674,83136225,83492236,84077807,84992680,85588827,86068812,86765919,87175207,87203615,87515591,87697679,87790378,87996706,88150020,88224796,88678640,88955980,88991839,89034018,89623639,89852167,90658895,91052904,91855247,92163858,92204194,92695919,94026688,94108415,95139519,95227714,95616765,96106252,96587816,97268620,97874159,98189544,98211010,98620834,99271895,99580306,99642220,99763470,...,440464550042508986061879316878911773539275762467285258362401488071792947319866151261964202032891904361177805221027366476701950740977784504014299936924939037539236193589488058557686437978776030537110810415324382791103439309740078409487053495283359508230419465410967738305091655567274445629751015699617557052465049517904211026612437883210907966928150208800736776411297172758570305210716572074109046686880768573575070346403280179886360119131969566708172604528976083468600875751681395747156456959503083501051283013233886830985009213742959233735086019669286216769293331486339157795372752715123260688894941509115755409412079312163536852117607233807540183489202030449389147964183357291617480606551047848384013192229953193570372200345798081343002813044203779930349395538354626288980250720084369110421263705221965291838990758086253588152645533534452264641328982013197657263134645012197438043112681658686267988023491337321186392998827576012754960242524185526444780646043978695984850924031986594511280365100412202520772699319632151790815678968958159359090683328686614141326493456740159889598863729777006434459124260572986765503277842045880787529852593283606898167203334676921899746856504278199609514172548573902223813486738270566982906805414150147632995886748883613782267081352470349993726654168390457946404058394245452875602252244379677586069992816315467461635148459428558384116038763769644625474745181854485485693171568477936920570657836699204705419707917281148804018067243947289834127806358209419600325909835077123539916419397631408432119236803542937303266453290120711338605645713287768837926243376213369064127096095549463154105390328401390794895209778825325385931998416720630860801631796641820907909660425316404489937540081402105110913396873171763196848265067539643104359273890352685379375300694520214801162017336276932189681684198654876061114948586456100333675812068934479841126093491399992948167202370652739483057445217388567436654304229652755522123800893677003214696258710980272244389205767086040659440505791648588180882821087720834835539266492657171092447740411817551833485935681321831809611359748683572431443231644186464602201733587203491024379882954659695635462180445929839191742604544312940934103933711020159865136217106937333187869768683232030383670987482033145183074665009356145161270134381017380355697645564998429845274089683082500790744095816437068223614980941815428177585540558299079032528575337688800242202765737673196821649729388663753604325097535010906417951404819303583528759638856786775707389680760506901984360101555026105764050916052959725277889656353879316748318850915694242491782098427877551367765215045592660431333452935068285429124867962013286577533924251970319245360873587754619322020065458538920140357485187825903891865986521221612559787565061435092296685940392945497820672813735447626195946544040820816758702192155654206874642392700110763901672961912108624588428739060636166836714610397054782900898847023140816578307383368068453231320879930576375077739817899600350004689001358795350486200669165621145532977381783196536697804266889767873929537789320488152561444197213831824381697905178978306078739185558521752302860137802927960737678935714775167861613850877019526716697922050514847079473062647247194414099937544290329249486251940842665644619689513804086694513063372071519690594734255750202094251079802002001438424905104819503743827363060935845035986686638840213042619361526509181617290649068435315423690750346729878765886496498055281942829428619447700551207990825272820012017456826089418322395611859760318235966029590371071342948772157449333578100887161097951107416370195970547085457428274508931029992229471634741238920492681476735224048286633846638072351311002235653476281051962996704994996317366743911858739065910042493513043918185236074530763879914831554038839218074363628732315474461200744319255078682901147933334538621604084102020798557143579000884493760360891186318765357282465831827975383478359279447306892195534492895816936476521078230248479044510476935850663908723171236557989849684718066027198228794480804375781856184961498429499693605924494421502873143570797843365444700616495609976234142815167075952801387250912364796002817021373188190670088650489964102321647121534591436595965674252287018105804187764627425659707709950285662803371885213889699406443414673578566872975917674939730583635381897032540340432202628266813610947510432713359056010624362274606146561149295411179496731854139184075814427627808653547670617539872962932247383421856369725092054813293395788702841919724748711335369972774048985081799012550636754033154582155305558832256888770795116434592032127764432099343600716232416539271111935142184308162094240895668296372755493337503750115328737136893215441606820400594060498861017919457926201397110879907518036888865520448840576909400027}
30010  284954955714627580971561635561994098373242904747967003799133709229884696212692979484677: {1139582,2039252,2483941,2662969,2758436,3653534,3914149,4092601,5161801,5632292,5695429,5847855,6237712,6927459,7017426,7067492,7469509,7589774,7646521,8000329,8246975,8545155,8707081,9114832,9373214,9456932,9896370,10254186,10286227,10293061,10556128,10650452,10703931,11875644,12742775,12862707,13098181,14145349,14694610,15016009,15178532,15291330,16310752,16405321,16606052,17271301,17617189,17633532,18139715,18349596,18997861,19099171,19323555,19858441,19867544,19998254,20030341,20611792,20644436,20992300,21756494,21767658,22350987,22458782,23188266,23511134,23623609,24211982,24912254,24984121,25153861,25190760,25662649,25794699,25832101,25961582,26870144,27284530,27522661,28339605,28365241,28533541,29877349,29989000,30228912,30380089,30707975,30714889,31306904,32051209,32321674,32734232,32741436,33216709,33331011,33617054,33646436,33737625,34007526,34378681,35041081,35220267,35692814,35986800,36197509,36383582,36579939,36826011,36849570,37514821,38385920,38796734,38977900,38991289,39154981,39306208,39679775,39862232,39993812,40485150,41113669,41439109,42575881,43061989,43184160,43259582,44212436,44219484,44286014,44677669,44845011,45482809,45643621,45878091,45993854,46063104,46173820,46773480,47365179,47615730,48378782,48582180,48685369,49004041,49522227,49587812,49638939,49891712,50790112,51095774,51220436,51820992,51919652,52017061,52145331,52620165,52789214,53435209,53749561,54315667,54616775,54892851,55408584,55473349,56128176,56573732,56721541,57138876,57511694,57654661,57809929,58298616,59093975,59744024,61361221,61678436,62077775,62128201,62264355,62281381,62334657,62575064,62874254,62893381,63046201,63144198,63961609,65178121,65208782,65540130,65585943,65673771,65962600,66087481,66238789,66305636,66415312,66817304,66998612,67212027,67536254,67612515,67747909,67922132,69194414,69549349,69909472,69986139,70396947,70744549,70912770,71179454,71380772,71839982,72120016,72532052,72762212,73488782,73848935,74007589,74207925,74368595,74449849,74476334,74493330,74717226,75169467,75521636,75640288,75791054,76454691,76651429,77358692,77412995,77593810,77993619,78199251,78648156,78691621,78964436,79067774,79155120,79241555,79459552,79671291,80767059,81005989,81135018,81581701,81678782,82273352,83015941,83086292,83158969,83305982,83873029,83955854,84229412,84432128,84514339,85095324,85185087,85915851,86004409,86993509,87196574,88119589,88618722,88680901,88821049,88961955,89049510,89242314,89391996,89778782,90744734,90775561,91608889,92030654,92557521,92895594,93112572,93118292,93403779,93955214,94846775,94892752,94916281,94986144,95089866,95463481,95600101,96193982,96524132,96690469,97369609,97884452,98722489,99470036,...,587286066723345314749172422505215698052367683289713677816535317429057263093154868349285602710522539148237073628036488635602600987970379338685733249233252050052314924785984078076915250638368040716147747220432510388137919079653437879316071327044479344307225953881290317740122207423032594173001354266156742736620066023872281368816583844281210622570866945067649035215062897011427073614288762765478728915841024764766760461871040239848480158842626088944230139371968111291467834335575194329541942612670778001401710684311849107980012284990612311646781359559048289025724441981785543727163670286831014251859922012154340545882772416218049136156809645076720244652269373932518863952244476388823307475401397131178684256306604258093829600461064108457337084058938373240465860717806168385307000960112492147228351606962620389118654344115004784203527378045936352855105309350930209684179526682929917390816908878248357317364655116428248523998436768017006613656698914035259707528058638261313134565375982126015040486800549603361030265759509535721087571958610879145454244438248818855101991275653546519465151639702675245945499014097315687337703789394507716706470124378142530889604446235895866329142005704266146018896731431869631751315651027422643875740552200196843994515665178151709689441803293799991635538891187277261872077858993937167469669659172903448093323755087289948846864612571411178821385018359526167299660242472647314257562091303915894094210448932272940559610556374865072024089658596386445503741810945892800434546446769498053221892530175211242825649071390583071021937720160948451474194284383691783901657834951158752169461460732617538807187104535187726526946371767100514575997888960841147735509062189094543879547233755205986583386775202806814551195830895684262464353423386190805812365187136913839167067592693619734882689781702576252908912264873168081486598115274800444901082758579306454834791321866657264222936494203652644076593623184756582205738972870340696165067858236004286261678281307029659185607689448054212587341055531450907843761450294446447385688656876228123263653882423402444647914241762442412815146331578096575257642192248619469602311449604654699173177272879594180616240594573118922323472725750587912138578281360213153514956142583110917159691577642707178227983309377526910766220012474860215026845841356507140930194086664573127032119577443334387658794421916090964819974589087237570114054077732105376704767116918400322937020983564262428866305851551671472433463380014541890601873092404778038346185142382367609852907680675869312480135406701474352067888070612967037186208471839088997758467887592323322376131237170068490353620060790213908444603913424380572166490616017715436711899002627092327147831450339492429360087278051893520476646917101205189154648694962150079716753415246789728914587190593997094230418313930168261262058721094422344936256207538942499523190266814351868897282549478166117904985414181555782286147196073043867865129364187755437743177824091270975094506574101833436986423866133800006252001811727133981600892220828194043969842377595382263739022519690498572717052427317536748592262951775765842263873571971074771652247411362336403813517070570614316905247619700223815485134502692702288930562734019796105964083529662925885466583392387105665981669254456887526159586018405448926017417829428692920792979007666936125668106402669335251233206806426004991769817414581126714648915518453617390159148702012242156387532091247087231587667128973171687848661997407042590439238159263600734943987767030426682689942434785891096527482479680424314621372787161428457265029543265778104134516214797268143221826927960729447276571032678574706656305962179654985227323575302313632064382178462184096468414669647537968374735950662273326661756488991882478318754546723324684058557580314766041018506553108738718452290765818171643087299281600992425673438243868197244446051495472112136027731409524772001179325013814521581758353809709954442437300511304479039263075856260712657194422581968694770973664638726013969247800885211630894982077319799579624088036264305059307739167709141579948664572666258141232659228670497524761063791153926267488660813301645523753556101270401849667883153061337089361830917587560118200653285469762196162046121915461287565669716024141072250352836567546276946600380883737829180285186265875257886231438089163967890233252974111513842529376720453909603504355751481263347243617812074680832483032808195414865727214905995642472185578767752570170411538063560823386497283909663177895808492966789406417724527718270455892966331615113826630365398646775732016734182338710872776207074078443009185027726821912789376170352576132458134288309888719028149246856245744216125654527557728497007324450005000153771649515857620588809093867458747331814690559277234935196147839876690715851820693931787435879200036}
30011  285840926866518240011050934985566199591674657474028688473177721555656611383592538524020: {30011,1709373,2549065,3058878,3448045,3628669,4137654,5457998,5480301,5606821,7040365,7797140,7975478,8448438,8834365,9236612,9356568,10134254,10526139,10601238,11384661,11393540,11821165,13195160,13313065,13511509,13672248,14059821,14185398,14271908,14844555,15381279,15834192,15975678,17150276,17384101,17459101,17813466,18035318,18973165,19982653,20388440,20757565,22041915,22767798,22936995,23511376,23927653,24031381,24466128,24834430,24909078,25764740,25805545,26001349,26240375,26450298,27314221,27393541,27524394,27622621,28240021,28642453,28820558,29023544,29801316,29997381,30917688,30966654,31488450,32634741,32651487,33587680,33688173,34086853,34392932,34782399,34879453,35266701,35291702,36317973,37131961,37368381,37486250,37786140,38942373,39133630,40305216,40363429,40917790,40926795,41732581,41987581,42058045,43655248,44441348,44983500,45003541,45343368,46108261,46745974,46960356,47982400,48482511,48722375,48773252,48854461,48925789,48933398,49101348,49112154,49132760,49170061,49827790,49992265,50425581,50469654,50863501,51011289,52043053,52276021,52761301,52930249,53497741,53539221,53980200,54575373,54725509,54753181,54803221,55265545,55274355,57401401,57558134,57578880,57717275,58113398,58195101,58465141,58466850,58675081,58959312,59369629,59793348,59990718,60470341,60727725,61170788,61417472,61449518,61984765,62364640,63105014,63153572,63487640,64025545,64150213,64482853,64583101,64776240,64889373,64899565,65009641,66029636,66086653,66185252,66318654,66329226,66429021,66504901,68990781,69094656,69140269,69260730,69388813,69527108,70160220,70717165,71423595,71989183,72229294,72568173,72873270,73190468,73537141,73878112,74381718,74680030,74837568,74906653,76185168,76643661,76830654,77098045,77731488,77879478,78218830,78241669,78891109,79183821,79634953,81221878,82453250,82882045,82989758,83019140,83031158,83112876,83521630,83748265,84192264,84860598,84902665,85708314,86076694,86267541,87386840,87447924,87521449,87565028,89221741,89225965,89248573,89616036,90150020,90565981,90665065,90952765,91995598,92461213,92509021,92517654,93314852,93551149,93862596,94060501,94311381,94402045,94428553,94550360,94716297,96556453,96698365,96770341,97813173,98015053,98310195,98705545,98943900,99088741,99324440,99364681,99458454,99622968,...,880929100085017972123758633757823547078551524934570516724802976143585894639732302523928404065783808722355610442054732953403901481955569008028599873849878075078472387178976117115372875957552061074221620830648765582206878619480156818974106990566719016460838930821935476610183311134548891259502031399235114104930099035808422053224875766421815933856300417601473552822594345517140610421433144148218093373761537147150140692806560359772720238263939133416345209057952166937201751503362791494312913919006167002102566026467773661970018427485918467470172039338572433538586662972678315590745505430246521377789883018231510818824158624327073704235214467615080366978404060898778295928366714583234961213102095696768026384459906387140744400691596162686005626088407559860698791076709252577960501440168738220842527410443930583677981516172507176305291067068904529282657964026395314526269290024394876086225363317372535976046982674642372785997655152025509920485048371052889561292087957391969701848063973189022560730200824405041545398639264303581631357937916318718181366657373228282652986913480319779197727459554012868918248521145973531006555684091761575059705186567213796334406669353843799493713008556399219028345097147804447626973476541133965813610828300295265991773497767227564534162704940699987453308336780915892808116788490905751204504488759355172139985632630934923270296918857116768232077527539289250949490363708970971386343136955873841141315673398409410839415834562297608036134487894579668255612716418839200651819670154247079832838795262816864238473607085874606532906580241422677211291426575537675852486752426738128254192191098926308210780656802781589790419557650650771863996833441261721603263593283641815819320850632808979875080162804210221826793746343526393696530135079286208718547780705370758750601389040429602324034672553864379363368397309752122229897172912200667351624137868959682252186982799985896334404741305478966114890434777134873308608459305511044247601787354006429392517421960544488778411534172081318881011583297176361765642175441669671078532985314342184895480823635103666971871362643663619222719497367144862886463288372929204403467174406982048759765909319391270924360891859678383485209088625881868207867422040319730272434213874666375739537366464060767341974964066290366149330018712290322540268762034760711395291129996859690548179366165001581488191632874136447229961883630856355171081116598158065057150675377600484405531475346393643299458777327507208650195070021812835902809638607167057519277713573551414779361521013803968720203110052211528101832105919450555779312707758633496637701831388484983564196855755102735530430091185320862666905870136570858249735924026573155067848503940638490721747175509238644040130917077840280714970375651807783731973042443225119575130122870184593371880785890995641345627470895252391893088081641633517404384311308413749284785400221527803345923824217249176857478121272333673429220794109565801797694046281633156614766736136906462641759861152750155479635799200700009378002717590700972401338331242291065954763566393073395608533779535747859075578640976305122888394427663648763395810357956612157478371117043504605720275605855921475357871429550335723227701754039053433395844101029694158946125294494388828199875088580658498972503881685331289239379027608173389026126744143039381189468511500404188502159604004002876849810209639007487654726121871690071973373277680426085238723053018363234581298136870630847381500693459757531772992996110563885658857238895401102415981650545640024034913652178836644791223719520636471932059180742142685897544314898667156201774322195902214832740391941094170914856549017862059984458943269482477840985362953470448096573267693276144702622004471306952562103925993409989992634733487823717478131820084987026087836370472149061527759829663108077678436148727257464630948922401488638510157365802295866669077243208168204041597114287158001768987520721782372637530714564931663655950766956718558894613784391068985791633872953042156460496958089020953871701327817446342473115979699369436132054396457588961608751563712369922996858999387211848988843005746287141595686730889401232991219952468285630334151905602774501824729592005634042746376381340177300979928204643294243069182873191931348504574036211608375529254851319415419900571325606743770427779398812886829347157133745951835349879461167270763794065080680864405256533627221895020865426718112021248724549212293122298590822358993463708278368151628855255617307095341235079745925864494766843712739450184109626586791577405683839449497422670739945548097970163598025101273508066309164310611117664513777541590232869184064255528864198687201432464833078542223870284368616324188481791336592745510986675007500230657474273786430883213640801188120997722035838915852402794221759815036073777731040897681153818800054}
30012  286729636594931568496429372913568920409750845795065132884078336065868944698887967868769: {689747,869507,1587827,2279164,3914411,4078504,4152347,4449587,4588317,4967882,5325938,5340107,5516872,5755067,6206481,6642947,7307068,7470011,7828298,8059811,8185202,8186997,9746425,10323602,10352387,11230907,11264584,11347907,11390858,11545765,11695710,11874011,11963217,12475424,12672657,12749411,12982547,13099067,13854918,14034852,14134984,14241925,14939018,15179548,15201381,15293042,15901857,16000658,16493950,16753067,17090310,17414162,17676011,17839885,18021587,18229664,18746428,18913864,19745147,19792740,20508372,20547011,20572454,20586122,20775827,21112256,21278097,21300904,21407862,21437845,21746867,22260011,22487867,23682011,23751288,23963517,23965811,24476147,25042427,25395601,25485550,25664411,25720907,25725414,26196362,26511011,26720199,27052977,27693227,28290698,28759811,29389220,29935307,30032018,30357064,30438011,30582660,30772787,31552811,31886627,32205925,32621504,32810642,33212104,33274427,34151697,34542602,35208947,35234378,35267064,36200027,36279430,36699192,36859307,37023947,37251645,37353011,37363617,37995722,38198342,38647110,39539411,39675447,39716882,39735088,39996508,40060682,40301627,40953707,41116547,41223584,41286591,41288872,41496227,41983811,41984600,42740987,42991165,43230837,43512988,43535316,44089187,44701974,44895707,44917564,45003107,45486011,45700427,45968267,46376532,46449981,47022268,47144387,47232675,47247218,47944067,48423964,48741947,49007507,49824508,49968242,50307722,50332307,50381520,50808011,51072011,51325298,51589398,51599411,51664202,51923164,52389011,52937553,53124347,53439011,53740288,53753387,54224411,54569060,55045322,55551685,55841867,56229375,56310011,56679210,56730482,56777507,57067082,57814067,58700445,58899011,59362907,59754698,59978000,60186011,60457824,60760178,60966565,61263227,61376685,61415950,61429778,61519187,61723811,62183747,62613808,62948867,63050747,64017011,64102418,64643348,64727147,65468464,65482872,65789411,66433418,66662022,67234108,67292872,67475250,68015052,68103947,68757362,68855027,69554411,70082162,70118961,70440534,71385628,71973600,72395018,72767164,73159878,73323707,73400097,73652022,73668231,73699140,74062187,74455307,74504411,74741685,74749811,75029642,75044027,75704481,76218011,76463485,76771840,76998107,77593468,77955800,77982578,78309962,78612416,78697427,78842627,78941965,79359550,79567547,79724464,79905227,79987624,80290667,80970300,81060011,81491867,82227338,82497011,82537045,82731565,82878218,83641427,83879267,83926811,84923387,85151762,85585811,86123978,86337201,86368320,86482307,86519164,86908885,87047027,87170097,87700275,88126187,88173011,88424872,88438968,88453787,88572028,88594067,88827707,88874411,89154467,89355338,89690022,89806811,89986077,90965618,91287242,91488085,91756182,91987708,92126208,92174277,92347640,92768987,93045011,93546960,93550307,94649411,94657521,94730358,95231460,95379587,96743147,96757564,97150811,97164360,97370738,97783667,98008082,98730011,99044454,99175624,99277878,99477981,99493839,99672827,99783424,...,1321393650127526958185637950636735320617827287401855775087204464215378841959598453785892606098675713083533415663082099430105852222933353512042899810774817112617708580768464175673059313936328091611332431245973148373310317929220235228461160485850078524691258396232903214915274966701823336889253047098852671157395148553712633079837313649632723900784450626402210329233891518275710915632149716222327140060642305720725211039209840539659080357395908700124517813586928250405802627255044187241469370878509250503153849039701660492955027641228877701205258059007858650307879994459017473386118258145369782066684824527347266228236237936490610556352821701422620550467606091348167443892550071874852441819653143545152039576689859580711116601037394244029008439132611339791048186615063878866940752160253107331263791115665895875516972274258760764457936600603356793923986946039592971789403935036592314129338044976058803964070474011963559178996482728038264880727572556579334341938131936087954552772095959783533841095301236607562318097958896455372447036906874478077272049986059842423979480370220479668796591189331019303377372781718960296509833526137642362589557779850820694501610004030765699240569512834598828542517645721706671440460214811700948720416242450442898987660246650841346801244057411049981179962505171373839212175182736358626806756733139032758209978448946402384905445378285675152348116291308933876424235545563456457079514705433810761711973510097614116259123751843446412054201731841869502383419074628258800977729505231370619749258192894225296357710410628811909799359870362134015816937139863306513778730128640107192381288286648389462316170985204172384685629336475976157795995250161892582404895389925462723728981275949213469812620244206315332740190619515289590544795202618929313077821671058056138125902083560644403486052008830796569045052595964628183344845759368301001027436206803439523378280474199978844501607111958218449172335652165702309962912688958266566371402681031009644088776132940816733167617301258121978321517374945764542648463263162504506617799477971513277343221235452655500457807043965495428834079246050717294329694932559393806605200761610473073139648863979086906386541337789517575227813632938822802311801133060479595408651320811999563609306049696091151012962446099435549223995028068435483810403143052141067092936694995289535822269049247502372232287449311204670844942825446284532756621674897237097585726013066400726608297213019590464949188165991260812975292605032719253854214457910750586278916570360327122169042281520705953080304665078317292152748158879175833668969061637950244956552747082727475346295283632654103295645136777981294000358805204856287374603886039859732601772755910957736082620763263857966060196375616760421072455563477711675597959563664837679362695184305276890057821178836493462018441206342878587839632122462450276106576466962620623927178100332291705018885736325873765286217181908500510143831191164348702696541069422449734922150104205359693962639791729125233219453698801050014067004076386051458602007496863436598932145349589610093412800669303621788613367961464457684332591641495473145093715536934918236217556675565256908580413408783882213036807144325503584841552631058580150093766151544541238419187941741583242299812632870987748458755822527996933859068541412260083539190116214559071784202767250606282753239406006004315274715314458511231482089182807535107960059916520639127858084579527544851871947205305946271072251040189636297659489494165845828488285858343101653623972475818460036052370478268254967186835579280954707898088771113214028846316472348000734302661483293853322249110587911641256372284823526793089976688414904223716761478044430205672144859901539914217053933006706960428843155888990114984988952100231735576217197730127480539131754555708223592291639744494662116517654223090886196946423383602232957765236048703443800003615864812252306062395671430737002653481281082673558956296071847397495483926150435077838341920676586603478687450809429563234690745437133531430807551991726169513709673969549054154198081594686383442413127345568554884495288499080817773483264508619430712393530096334101849486829928702428445501227858404161752737094388008451064119564572010265951469892306964941364603774309787897022756861054317412563293882276979123129850856988410115655641669098219330244020735700618927753024819191750906145691097621021296607884800440832842531298140077168031873086823818439683447886233538490195562417552227443282883425960643011852619618888796742150265569109175276164439880187366108525759174246134006109918322146955245397037651910262099463746465916676496770666312385349303776096383293296298030802148697249617813335805426552924486282722687004889118266480012511250345986211410679646324820461201782181496583053758373778604191332639722554110666596561346521730728200081}
30013  287621093315564054163755444453223266775198212181668899399488763159830621186138690123361: {30013,60022,2848955,3418746,3568691,4288427,4827263,5098130,6117756,6266447,6626243,6896090,7257338,7451823,7988907,8275308,9133835,9856511,10915996,10960602,11213642,11742447,12277803,12368111,14080730,14170607,15485403,15594280,15950956,15968147,16549631,16896876,17086287,17543565,17668730,18473224,18638291,18713136,18844211,18974435,20268508,20633483,20782377,21052278,21202476,21360767,22408527,22769322,22787080,22939563,23433035,23642330,24000987,24740925,25635465,26121243,26390320,26562431,26626130,26742671,27023018,27344496,28119642,28370796,28400723,28543816,29060591,29617583,29689110,30728867,30762558,30858681,30879183,31668384,31951356,32111793,32133131,32280443,34300552,34768202,34918202,35626932,36070636,36127763,36736525,37946330,38097071,38228325,38588121,39294543,39965306,40178531,40776880,41500427,41515130,42436047,44083830,45048027,45535596,45660527,45873990,47022752,47855306,48062762,48932256,49215963,49320323,49582511,49668860,49818156,49995635,50230643,51529480,51611090,51813903,52002698,52480750,52851567,52900596,53186003,54391235,54419145,54628442,54787082,55048788,55245242,55335023,56146955,56480042,56580611,56993583,57284906,57297513,57641116,57821387,57970665,58047088,58128731,58777835,58881263,59575323,59602632,59994762,60091023,60529955,61835376,61933308,62280635,62976900,63224603,64154507,64767443,64903955,65238767,65269482,65302974,65308811,67052961,67175360,67376346,68173706,68180843,68211325,68785864,69564798,69758906,69989171,70164107,70533402,70583404,70870827,72069071,72635946,74263922,74329007,74736762,74911667,74952363,74972500,75461583,75572280,76325483,76987947,77371763,77384097,77496303,77884746,78267260,78896411,80610432,80726858,80804185,81711227,81835580,81853590,82567983,82667243,83465162,83975162,84042635,84116090,85018815,85095723,85600623,86778671,87229823,87310496,88882696,89003771,89232035,89254547,89632047,89635763,89967000,90007082,90686736,90859391,90958955,91140267,92123925,92144667,92216522,92467427,93234947,93491948,93557411,93920712,95403647,95433647,95964800,96153627,96965022,96991835,97444750,97546504,97708922,97783643,97851578,97866796,98202696,98224308,98265520,98340122,99004031,99650127,99655580,99984530,99993033,...,1761858200170035944247517267515647094157103049869141033449605952287171789279464605047856808131567617444711220884109465906807802963911138016057199747699756150156944774357952234230745751915104122148443241661297531164413757238960313637948213981133438032921677861643870953220366622269097782519004062798470228209860198071616844106449751532843631867712600835202947105645188691034281220842866288296436186747523074294300281385613120719545440476527878266832690418115904333874403503006725582988625827838012334004205132052935547323940036854971836934940344078677144867077173325945356631181491010860493042755579766036463021637648317248654147408470428935230160733956808121797556591856733429166469922426204191393536052768919812774281488801383192325372011252176815119721397582153418505155921002880337476441685054820887861167355963032345014352610582134137809058565315928052790629052538580048789752172450726634745071952093965349284745571995310304051019840970096742105779122584175914783939403696127946378045121460401648810083090797278528607163262715875832637436362733314746456565305973826960639558395454919108025737836497042291947062013111368183523150119410373134427592668813338707687598987426017112798438056690194295608895253946953082267931627221656600590531983546995534455129068325409881399974906616673561831785616233576981811502409008977518710344279971265261869846540593837714233536464155055078578501898980727417941942772686273911747682282631346796818821678831669124595216072268975789159336511225432837678401303639340308494159665677590525633728476947214171749213065813160482845354422582853151075351704973504853476256508384382197852616421561313605563179580839115301301543727993666882523443206527186567283631638641701265617959750160325608420443653587492687052787393060270158572417437095561410741517501202778080859204648069345107728758726736794619504244459794345824401334703248275737919364504373965599971792668809482610957932229780869554269746617216918611022088495203574708012858785034843921088977556823068344162637762023166594352723531284350883339342157065970628684369790961647270207333943742725287327238445438994734289725772926576745858408806934348813964097519531818638782541848721783719356766970418177251763736415734844080639460544868427749332751479074732928121534683949928132580732298660037424580645080537524069521422790582259993719381096358732330003162976383265748272894459923767261712710342162233196316130114301350755200968811062950692787286598917554655014417300390140043625671805619277214334115038555427147102829558723042027607937440406220104423056203664211838901111558625415517266993275403662776969967128393711510205471060860182370641725333811740273141716499471848053146310135697007881276981443494351018477288080261834155680561429940751303615567463946084886450239150260245740369186743761571781991282691254941790504783786176163283267034808768622616827498569570800443055606691847648434498353714956242544667346858441588219131603595388092563266313229533472273812925283519722305500310959271598401400018756005435181401944802676662484582131909527132786146791217067559071495718151157281952610245776788855327297526791620715913224314956742234087009211440551211711842950715742859100671446455403508078106866791688202059388317892250588988777656399750177161316997945007763370662578478758055216346778052253488286078762378937023000808377004319208008005753699620419278014975309452243743380143946746555360852170477446106036726469162596273741261694763001386919515063545985992221127771317714477790802204831963301091280048069827304357673289582447439041272943864118361484285371795088629797334312403548644391804429665480783882188341829713098035724119968917886538964955681970725906940896193146535386552289405244008942613905124207851986819979985269466975647434956263640169974052175672740944298123055519659326216155356872297454514929261897844802977277020314731604591733338154486416336408083194228574316003537975041443564745275061429129863327311901533913437117789227568782137971583267745906084312920993916178041907743402655634892684946231959398738872264108792915177923217503127424739845993717998774423697977686011492574283191373461778802465982439904936571260668303811205549003649459184011268085492752762680354601959856409286588486138365746383862697009148072423216751058509702638830839801142651213487540855558797625773658694314267491903670699758922334541527588130161361728810513067254443790041730853436224042497449098424586244597181644717986927416556736303257710511234614190682470159491851728989533687425478900368219253173583154811367678898994845341479891096195940327196050202547016132618328621222235329027555083180465738368128511057728397374402864929666157084447740568737232648376963582673185491021973350015000461314948547572861766427281602376241995444071677831704805588443519630072147555462081795362307637600108}
30014  288515305469822840554945429251265756424460871759934236061110050679176476850779885636560: {90033,929473,1379494,1739014,2006449,2901949,3175654,4509313,4558328,4865713,5128119,5399773,6288433,7647195,7828822,8157008,8304694,8899174,9176634,9825073,9935764,10344135,10651876,10680214,10886007,11033744,11056093,11510134,12412962,12808573,13285894,13644995,14379649,14614136,14940022,15656596,15944893,16119622,16164071,16370404,16373994,16440903,16811953,16820463,16985149,18022813,18540673,19492850,19938695,20647204,20704774,21121095,21291649,22461814,22529168,22695814,22781716,23091530,23391420,23748022,23926434,24024193,24950848,24975839,25335635,25345314,25498822,25553149,25722673,25965094,26198134,26503095,27245149,27709836,28069704,28269968,28483850,28761793,28929949,29878036,30012983,30359096,30402762,30586084,31443649,31578417,31610653,31803714,32001316,32987900,33506134,33775153,34153983,34180620,34604413,34828324,35352022,35463495,35679770,36043174,36459328,37081393,37410433,37492856,37827728,38067649,39490294,39585480,39939195,40534527,40684993,41016744,41094022,41144908,41172244,41551654,42179463,42224512,42556194,42601808,42815724,42875690,43493734,44520022,44533665,44576449,44975734,45088295,46025053,46143837,46185649,47147713,47364022,47502576,47927034,47931622,48952294,50084854,50791202,50971100,51328822,51441814,51450828,51603073,52152303,52377303,52392724,53022022,53440398,54105954,54280573,55386454,55689649,56469949,56581396,56919495,57403933,57519622,58778440,58954813,59418673,59870614,59947959,60064036,60187631,60714128,60876022,61165320,61545574,61728253,62086075,62272695,62494513,63105622,63258973,63773254,64411850,64782493,65243008,65621284,65844673,66125745,66424208,66548854,68108893,68303394,68810985,69085204,70207549,70417894,70468756,70534128,71697949,71782959,72051395,72094143,72400054,72440449,72558860,73181149,73398384,73718614,74047894,74503290,74509873,74706022,74727234,75991444,76272433,76396684,77294220,77416635,77772359,78004047,78315649,78721125,79078822,79350894,79433764,79470176,79911133,79993016,80121364,80344753,80603254,81907414,81942663,82180623,82233094,82447168,82503133,82573182,82577744,82646449,82867863,82992454,83933053,83967622,83969200,84720063,85353191,85355773,85481974,85927359,85982330,86461674,87025976,87070632,88178374,88179613,88229255,88460413,88881073,89403948,89791414,89835128,89860093,89992143,90006214,90972022,91400854,91807549,91936534,92753064,92899962,93189949,93715625,94044536,94288774,94465350,94494436,94702273,95250049,95888134,96069553,96847928,97293949,97483894,97834075,97904223,97954461,98015014,99649016,99936484,...,2642787300255053916371275901273470641235654574803711550174408928430757683919196907571785212197351426167066831326164198860211704445866707024085799621549634225235417161536928351346118627872656183222664862491946296746620635858440470456922320971700157049382516792465806429830549933403646673778506094197705342314790297107425266159674627299265447801568901252804420658467783036551421831264299432444654280121284611441450422078419681079318160714791817400249035627173856500811605254510088374482938741757018501006307698079403320985910055282457755402410516118015717300615759988918034946772236516290739564133369649054694532456472475872981221112705643402845241100935212182696334887785100143749704883639306287090304079153379719161422233202074788488058016878265222679582096373230127757733881504320506214662527582231331791751033944548517521528915873201206713587847973892079185943578807870073184628258676089952117607928140948023927118357992965456076529761455145113158668683876263872175909105544191919567067682190602473215124636195917792910744894073813748956154544099972119684847958960740440959337593182378662038606754745563437920593019667052275284725179115559701641389003220008061531398481139025669197657085035291443413342880920429623401897440832484900885797975320493301682693602488114822099962359925010342747678424350365472717253613513466278065516419956897892804769810890756571350304696232582617867752848471091126912914159029410867621523423947020195228232518247503686892824108403463683739004766838149256517601955459010462741239498516385788450592715420821257623819598719740724268031633874279726613027557460257280214384762576573296778924632341970408344769371258672951952315591990500323785164809790779850925447457962551898426939625240488412630665480381239030579181089590405237858626155643342116112276251804167121288806972104017661593138090105191929256366689691518736602002054872413606879046756560948399957689003214223916436898344671304331404619925825377916533132742805362062019288177552265881633466335234602516243956643034749891529085296926526325009013235598955943026554686442470905311000915614087930990857668158492101434588659389865118787613210401523220946146279297727958173812773082675579035150455627265877645604623602266120959190817302641623999127218612099392182302025924892198871098447990056136870967620806286104282134185873389990579071644538098495004744464574898622409341689885650892569065513243349794474195171452026132801453216594426039180929898376331982521625950585210065438507708428915821501172557833140720654244338084563041411906160609330156634584305496317758351667337938123275900489913105494165454950692590567265308206591290273555962588000717610409712574749207772079719465203545511821915472165241526527715932120392751233520842144911126955423351195919127329675358725390368610553780115642357672986924036882412685757175679264244924900552213152933925241247854356200664583410037771472651747530572434363817001020287662382328697405393082138844899469844300208410719387925279583458250466438907397602100028134008152772102917204014993726873197864290699179220186825601338607243577226735922928915368665183282990946290187431073869836472435113351130513817160826817567764426073614288651007169683105262117160300187532303089082476838375883483166484599625265741975496917511645055993867718137082824520167078380232429118143568405534501212565506478812012008630549430628917022462964178365615070215920119833041278255716169159055089703743894410611892542144502080379272595318978988331691656976571716686203307247944951636920072104740956536509934373671158561909415796177542226428057692632944696001468605322966587706644498221175823282512744569647053586179953376829808447433522956088860411344289719803079828434107866013413920857686311777980229969977904200463471152434395460254961078263509111416447184583279488989324233035308446181772393892846767204465915530472097406887600007231729624504612124791342861474005306962562165347117912592143694794990967852300870155676683841353173206957374901618859126469381490874267062861615103983452339027419347939098108308396163189372766884826254691137109768990576998161635546966529017238861424787060192668203698973659857404856891002455716808323505474188776016902128239129144020531902939784613929882729207548619575794045513722108634825126587764553958246259701713976820231311283338196438660488041471401237855506049638383501812291382195242042593215769600881665685062596280154336063746173647636879366895772467076980391124835104454886565766851921286023705239237777593484300531138218350552328879760374732217051518348492268012219836644293910490794075303820524198927492931833352993541332624770698607552192766586592596061604297394499235626671610853105848972565445374009778236532960025022500691972422821359292649640922403564362993166107516747557208382665279445108221333193122693043461456400162}
30015  289412281524903816446564202713827563090313620732168835816437552012953363262552211805566: {60026,120044,2069241,2608521,3988537,4763481,5068141,5697910,6837492,7137382,7405801,8576854,9654526,10196260,11743233,12235512,12419705,12457041,12532894,12787369,13252486,13314845,13348761,13764951,13792180,14514676,14903646,15977814,16020321,16550616,16747081,17265201,18267670,18619443,19570745,19713022,19928841,20463005,21061177,21831992,21921204,22410033,22427284,23484894,24179433,24555606,24560991,24736222,25809005,26564209,27317873,28161460,28341214,28477145,29239275,30970806,31057161,31188560,31901912,31936294,32806249,33099262,33692721,33793752,34043721,34172574,34349209,34637295,35087130,35337460,35622033,35889651,36121889,36946448,37276582,37347545,37426272,37688422,37948870,38017971,38232605,38248233,38947641,39297201,40001645,40537016,41234875,41266966,41564754,42104556,42404952,42721534,42725775,43046993,43535405,44817054,44905417,45009569,45538644,45574160,45604143,45879126,46866070,47284660,47705571,48001974,48860993,49481850,50259201,51205097,51270930,51431135,51465305,52242486,52780640,53028033,53124862,53252260,53485342,53519655,53962441,54046036,54064761,54688992,54810569,56239284,56741592,56801446,57087632,57669329,58121182,58597513,59235166,59235441,59378220,61457734,61525116,61641033,61717362,61758366,62137609,62327481,63336768,63713875,63834291,63902712,64223586,64266262,64313535,64560886,65018333,65240601,65490905,66095489,66513809,66780033,67463601,67522669,68601104,69536404,69836404,69993889,70726745,71046033,71253864,71890551,71897433,72141272,72255526,73428441,73473050,75080045,75127281,75892660,76147729,76186803,76194142,76456650,76993233,77100361,77162721,77176242,77655521,78589086,78605737,79533033,79930612,80160597,80357062,81158931,81553760,82026605,82148033,82288969,83000854,83030260,83079681,84741937,84872094,86040713,86279433,86356505,87192889,88085945,88167660,89805921,90096054,90698575,90739217,90865537,91071192,91314033,91321054,91747980,91873793,92318361,92392801,92714537,93241213,94045504,94658433,94989305,95410033,95495855,95659881,95710612,96125524,96617775,97864512,97893821,98431926,98640646,99165022,99292205,99337720,99636312,99823281,99991270,...,3964180950382580874556913851910205961853481862205567325261613392646136525878795361357677818296027139250600246989246298290317556668800060536128699432324451337853125742305392527019177941808984274833997293737919445119930953787660705685383481457550235574073775188698709644745824900105470010667759141296558013472185445661137899239511940948898171702353351879206630987701674554827132746896449148666981420181926917162175633117629521618977241072187726100373553440760784751217407881765132561724408112635527751509461547119104981478865082923686633103615774177023575950923639983377052420158354774436109346200054473582041798684708713809471831669058465104267861651402818274044502331677650215624557325458959430635456118730069578742133349803112182732087025317397834019373144559845191636600822256480759321993791373346997687626550916822776282293373809801810070381771960838118778915368211805109776942388014134928176411892211422035890677536989448184114794642182717669738003025814395808263863658316287879350601523285903709822686954293876689366117341110720623434231816149958179527271938441110661439006389773567993057910132118345156880889529500578412927087768673339552462083504830012092297097721708538503796485627552937165120014321380644435102846161248727351328696962980739952524040403732172233149943539887515514121517636525548209075880420270199417098274629935346839207154716336134857025457044348873926801629272706636690369371238544116301432285135920530292842348777371255530339236162605195525608507150257223884776402933188515694111859247774578682675889073131231886435729398079611086402047450811419589919541336190385920321577143864859945168386948512955612517154056888009427928473387985750485677747214686169776388171186943827847640409437860732618945998220571858545868771634385607856787939233465013174168414377706250681933210458156026492389707135157787893884550034537278104903003082308620410318570134841422599936533504821335874655347517006956497106929888738066874799699114208043093028932266328398822450199502851903774365934964552124837293627945389789487513519853398433914539832029663706357966501373421131896486286502237738152151882989084797678181419815602284831419219418946591937260719159624013368552725683440898816468406935403399181438786225953962435998690827918149088273453038887338298306647671985084205306451431209429156423201278810084985868607466807147742507116696862347933614012534828476338853598269865024691711292757178039199202179824891639058771394847564497973782438925877815098157761562643373732251758836749711080981366507126844562117859240913995234951876458244476637527501006907184913850734869658241248182426038885850897962309886935410333943882001076415614568862123811658119579197805318267732873208247862289791573898180589126850281263217366690433135026793878690994513038088085552915830670173463536509480386055323619028635763518896367387350828319729400887861871781534300996875115056657208977621295858651545725501530431493573493046108089623208267349204766450312616079081887919375187375699658361096403150042201012229158154375806022490590309796796436048768830280238402007910865365840103884393373052997774924486419435281146610804754708652670026695770725741240226351646639110421432976510754524657893175740450281298454633623715257563825224749726899437898612963245376267467583990801577205624236780250617570348643677215352608301751818848259718218018012945824145943375533694446267548422605323880179749561917383574253738582634555615841615917838813216753120568908892978468482497537485464857575029304960871917427455380108157111434804764901560506737842864123694266313339642086538949417044002202907984449881559966747331763734923769116854470580379269930065244712671150284434133290617016434579704619742651161799020120881286529467666970344954966856300695206728651593190382441617395263667124670776874919233483986349552962669272658590839270150806698873295708146110331400010847594436756918187187014292211007960443843248020676868888215542192486451778451305233515025762029759810436062352428288689704072236311400594292422655975178508541129021908647162462594244784059150327239382036705664653485865497242453320449793525858292137180590289002305548460489786107285336503683575212485258211283164025353192358693716030797854409676920894824093811322929363691068270583162952237689881646830937369389552570965230346966925007294657990732062207101856783259074457575252718437073292863063889823654401322498527593894420231504095619260471455319050343658700615470586687252656682329848650277881929035557858856666390226450796707327525828493319640562098325577277522738402018329754966440865736191112955730786298391239397750029490311998937156047911328289149879888894092406446091748853440007416279658773458848168061014667354799440037533751037958634232038938974461383605346544489749161275121335812573997919167662331999789684039565192184600243}
30016  290312029973869941068683541668219732066903249909817516106680598433358710072667005570162: {90039,150055,180066,1858946,2663503,2758988,3478028,4012898,4093423,4450183,5340823,5803898,5874343,6351308,6762103,7648063,7825039,8546865,8708839,9018626,9116656,9731426,10256238,10295143,10471039,10706073,10799546,11349439,12576866,12745325,12865281,13100839,13275583,14148223,14481789,15294390,15657644,16314016,16582039,16609388,17240225,17274823,17447839,17798348,18139183,18143345,18353268,18799341,19102993,19174039,19650146,19862503,19871528,19878729,20034439,20688270,21064543,21303752,21360428,21772014,22067488,22112186,22355469,22604839,23020268,23628463,23966721,24825924,25159039,25617146,25837423,26571788,27289990,27401505,27697039,27914173,28034105,28539439,28759298,29228272,29569533,29880044,31313192,31889786,32239244,32328142,32740808,32747988,32881806,33623906,33640926,33970298,35201825,35213839,35227341,35469889,36045626,36833409,37081346,37104333,37851343,38985700,39163183,39326839,39877390,39907373,40307263,41294408,41409548,42242190,42511821,42583298,42746983,43394839,44171825,44203039,44923628,45009439,45058336,45391628,45563432,45653263,45814039,46183060,46456209,46782840,47257783,47496044,47852868,47904441,48048386,48057343,48376663,49014439,49648893,49901696,49951678,50445223,50671270,50690628,50997644,51106298,51258861,51445346,51930188,52396268,52630695,53006190,53603863,54490298,55419672,55914873,55953943,56139408,56532633,56539936,56923305,56967700,57523586,57667039,57822343,57859898,58597783,59105825,59756072,60025966,60718192,60805524,61172168,61374463,61528039,61900449,62141623,62294839,62347131,62887298,62906983,63059839,63123613,63156834,63221306,63607428,64002632,64082301,65975800,66253183,66565325,67012268,67225581,67550306,67557545,68214103,68307966,68361240,68818689,69208826,69656648,70299105,70704044,70760023,70926990,71359540,71504863,72002961,72086348,72918656,73433023,74162786,74222775,74820866,74985712,75642703,75655456,76135298,76668343,76906395,77106823,78363729,78854263,78980588,79170960,79579303,79687293,79878390,80013463,80228013,81023983,81069054,81369986,81599839,82033488,82188044,82289816,82344488,83103308,83177503,84319423,84358926,84449024,85030783,85112388,85202169,85203616,85631448,85751380,85882039,86920505,86987468,87154063,87181773,87295505,88139383,88700839,88841023,88852749,89040044,89067330,89152898,89261143,89951468,90176590,90238903,92050106,92186601,92287674,92371298,92576043,92637549,93426703,94114663,94295426,94728044,94865825,94937839,95005152,95485183,95621839,95854068,95863244,96335379,96399393,96440263,96841329,96848503,97798543,97904588,98879983,99149623,99913265,...,5285574600510107832742551802546941282471309149607423100348817856861515367838393815143570424394702852334133662652328397720423408891733414048171599243099268450470834323073856702692237255745312366445329724983892593493241271716880940913844641943400314098765033584931612859661099866807293347557012188395410684629580594214850532319349254598530895603137802505608841316935566073102843662528598864889308560242569222882900844156839362158636321429583634800498071254347713001623210509020176748965877483514037002012615396158806641971820110564915510804821032236031434601231519977836069893544473032581479128266739298109389064912944951745962442225411286805690482201870424365392669775570200287499409767278612574180608158306759438322844466404149576976116033756530445359164192746460255515467763008641012429325055164462663583502067889097035043057831746402413427175695947784158371887157615740146369256517352179904235215856281896047854236715985930912153059522910290226317337367752527744351818211088383839134135364381204946430249272391835585821489788147627497912309088199944239369695917921480881918675186364757324077213509491126875841186039334104550569450358231119403282778006440016123062796962278051338395314170070582886826685761840859246803794881664969801771595950640986603365387204976229644199924719850020685495356848700730945434507227026932556131032839913795785609539621781513142700609392465165235735505696942182253825828318058821735243046847894040390456465036495007373785648216806927367478009533676298513035203910918020925482478997032771576901185430841642515247639197439481448536063267748559453226055114920514560428769525153146593557849264683940816689538742517345903904631183981000647570329619581559701850894915925103796853879250480976825261330960762478061158362179180810475717252311286684232224552503608334242577613944208035323186276180210383858512733379383037473204004109744827213758093513121896799915378006428447832873796689342608662809239851650755833066265485610724124038576355104531763266932670469205032487913286069499783058170593853052650018026471197911886053109372884941810622001831228175861981715336316984202869177318779730237575226420803046441892292558595455916347625546165351158070300911254531755291209247204532241918381634605283247998254437224198784364604051849784397742196895980112273741935241612572208564268371746779981158143289076196990009488929149797244818683379771301785138131026486699588948390342904052265602906433188852078361859796752663965043251901170420130877015416857831643002345115666281441308488676169126082823812321218660313269168610992635516703334675876246551800979826210988330909901385181134530616413182580547111925176001435220819425149498415544159438930407091023643830944330483053055431864240785502467041684289822253910846702391838254659350717450780737221107560231284715345973848073764825371514351358528489849801104426305867850482495708712401329166820075542945303495061144868727634002040575324764657394810786164277689798939688600416821438775850559166916500932877814795204200056268016305544205834408029987453746395728581398358440373651202677214487154453471845857830737330366565981892580374862147739672944870226702261027634321653635135528852147228577302014339366210524234320600375064606178164953676751766966332969199250531483950993835023290111987735436274165649040334156760464858236287136811069002425131012957624024017261098861257834044925928356731230140431840239666082556511432338318110179407487788821223785084289004160758545190637957976663383313953143433372406614495889903273840144209481913073019868747342317123818831592355084452856115385265889392002937210645933175413288996442351646565025489139294107172359906753659616894867045912177720822688579439606159656868215732026827841715372623555960459939955808400926942304868790920509922156527018222832894369166558977978648466070616892363544787785693534408931831060944194813775200014463459249009224249582685722948010613925124330694235825184287389589981935704601740311353367682706346413914749803237718252938762981748534125723230207966904678054838695878196216616792326378745533769652509382274219537981153996323271093933058034477722849574120385336407397947319714809713782004911433616647010948377552033804256478258288041063805879569227859765458415097239151588091027444217269650253175529107916492519403427953640462622566676392877320976082942802475711012099276767003624582764390484085186431539201763331370125192560308672127492347295273758733791544934153960782249670208909773131533703842572047410478475555186968601062276436701104657759520749464434103036696984536024439673288587820981588150607641048397854985863666705987082665249541397215104385533173185192123208594788998471253343221706211697945130890748019556473065920050045001383944845642718585299281844807128725986332215033495114416765330558890216442666386245386086922912800324}
30017  291214559335729805821608933070741281812399745839805932058440169706939916298114854607507: {120052,240088,270099,2788419,3448735,4138482,4347535,5217042,5607943,6019347,7585699,7939135,7977074,8665087,8705847,9526962,10136282,11395820,13527939,13674984,14274764,14597139,14811602,15384357,15488803,16199319,17153708,17387587,18640783,18865299,19309052,19435603,19572055,20392520,20761735,20881423,22247935,22941585,23486466,24471024,24839410,24914082,25065788,25195519,25574738,26006563,26504972,26629690,26697522,26700535,26982247,27399043,27529902,27584360,28648207,28775335,29029352,29288743,29475219,29807292,31032405,31955628,32040642,32284759,32372707,32658021,33101232,33168279,33214735,33494162,34530402,35606983,36132607,36535340,37139407,37238886,37350055,38425719,39141490,39426044,39857682,39868003,40183903,40299055,40371523,40926010,40934985,41740963,42122354,42212887,43138947,43663984,43842408,44820066,44854568,45666643,46117507,46969788,47834679,48358866,48492213,48732125,49111212,49121982,49322709,49472444,50237359,50435859,50461389,50873719,50955447,51618010,51761935,52286563,52940863,53128418,53193127,53525647,54068439,54635746,54736483,55622019,56002303,56154535,56322920,56682428,56739535,56772199,56954290,57728825,58136503,58478550,58686847,59370055,59816085,60482467,60949567,61599103,61941612,62114322,62377120,63363285,63747055,63803824,63872588,63874947,64495807,64776127,64912735,65317543,65495335,65612498,66198524,67385442,67587504,68087442,68189959,68345148,68698418,69274590,69550927,70174260,70674920,71209625,71244066,71779302,72003589,72051427,72072579,72243778,72369223,73892896,74338963,74523247,74553164,74695090,74852544,74927517,75376844,75612583,75897740,76006905,76035942,76465210,76496466,76659447,77168019,77660719,77895282,78594402,79509285,80003290,81074032,81735447,82469750,82533932,82678327,83129508,83765335,84209112,84695887,84809904,85443068,85451550,86093986,86285379,86789847,87070810,87241507,88380055,89199425,89634108,89810834,89977219,90019138,90038949,90107935,91077288,91148320,91208286,91687267,91753063,91758252,92527699,92720743,93732140,94330947,94447519,94569320,94735251,94831959,95411142,96003948,97084039,97721986,98725735,98963700,99017443,99108643,99810247,...,7928361900765161749113827703820411923706963724411134650523226785292273051757590722715355636592054278501200493978492596580635113337600121072257398864648902675706251484610785054038355883617968549667994587475838890239861907575321411370766962915100471148147550377397419289491649800210940021335518282593116026944370891322275798479023881897796343404706703758413261975403349109654265493792898297333962840363853834324351266235259043237954482144375452200747106881521569502434815763530265123448816225271055503018923094238209962957730165847373266207231548354047151901847279966754104840316709548872218692400108947164083597369417427618943663338116930208535723302805636548089004663355300431249114650917918861270912237460139157484266699606224365464174050634795668038746289119690383273201644512961518643987582746693995375253101833645552564586747619603620140763543921676237557830736423610219553884776028269856352823784422844071781355073978896368229589284365435339476006051628791616527727316632575758701203046571807419645373908587753378732234682221441246868463632299916359054543876882221322878012779547135986115820264236690313761779059001156825854175537346679104924167009660024184594195443417077007592971255105874330240028642761288870205692322497454702657393925961479905048080807464344466299887079775031028243035273051096418151760840540398834196549259870693678414309432672269714050914088697747853603258545413273380738742477088232602864570271841060585684697554742511060678472325210391051217014300514447769552805866377031388223718495549157365351778146262463772871458796159222172804094901622839179839082672380771840643154287729719890336773897025911225034308113776018855856946775971500971355494429372339552776342373887655695280818875721465237891996441143717091737543268771215713575878466930026348336828755412501363866420916312052984779414270315575787769100069074556209806006164617240820637140269682845199873067009642671749310695034013912994213859777476133749599398228416086186057864532656797644900399005703807548731869929104249674587255890779578975027039706796867829079664059327412715933002746842263792972573004475476304303765978169595356362839631204569662838438837893183874521438319248026737105451366881797632936813870806798362877572451907924871997381655836298176546906077774676596613295343970168410612902862418858312846402557620169971737214933614295485014233393724695867228025069656952677707196539730049383422585514356078398404359649783278117542789695128995947564877851755630196315523125286747464503517673499422161962733014253689124235718481827990469903752916488953275055002013814369827701469739316482496364852077771701795924619773870820667887764002152831229137724247623316239158395610636535465746416495724579583147796361178253700562526434733380866270053587757381989026076176171105831661340346927073018960772110647238057271527037792734774701656639458801775723743563068601993750230113314417955242591717303091451003060862987146986092216179246416534698409532900625232158163775838750374751399316722192806300084402024458316308751612044981180619593592872097537660560476804015821730731680207768786746105995549848972838870562293221609509417305340053391541451482480452703293278220842865953021509049315786351480900562596909267247430515127650449499453798875797225926490752534935167981603154411248473560501235140697287354430705216603503637696519436436036025891648291886751067388892535096845210647760359499123834767148507477165269111231683231835677626433506241137817785956936964995074970929715150058609921743834854910760216314222869609529803121013475685728247388532626679284173077898834088004405815968899763119933494663527469847538233708941160758539860130489425342300568868266581234032869159409239485302323598040241762573058935333940689909933712601390413457303186380764883234790527334249341553749838466967972699105925338545317181678540301613397746591416292220662800021695188873513836374374028584422015920887686496041353737776431084384972903556902610467030051524059519620872124704856577379408144472622801188584845311950357017082258043817294324925188489568118300654478764073411329306971730994484906640899587051716584274361180578004611096920979572214570673007367150424970516422566328050706384717387432061595708819353841789648187622645858727382136541166325904475379763293661874738779105141930460693933850014589315981464124414203713566518148915150505436874146585726127779647308802644997055187788840463008191238520942910638100687317401230941173374505313364659697300555763858071115717713332780452901593414655051656986639281124196651154555045476804036659509932881731472382225911461572596782478795500058980623997874312095822656578299759777788184812892183497706880014832559317546917696336122029334709598880075067502075917268464077877948922767210693088979498322550242671625147995838335324663999579368079130384369200486}
30018  292119878155516433200388155320564769476922251293196638889987686615731553344945317646445: {150065,180078,210077,300110,360132,869681,1767581,2126237,2902337,3021617,3717892,4093697,4153181,4509917,4985117,5327006,5400497,5517976,5933981,6207723,6821681,6956056,7648577,7825563,8025796,8186846,8238257,8900366,10295837,10354481,10681646,11525681,11607796,11748686,11965611,12401981,12702616,12751997,13276481,13524206,14244775,14290443,14381597,14497757,15204423,15296126,15650078,17093730,17417678,17843455,17852477,18037252,18140417,18197981,18233312,18543197,19462852,20264957,20512476,20590286,20942078,21412146,21442135,21599092,22217403,22698878,23004797,23289137,23630081,23686877,24136315,24140957,24481181,25153732,25400683,25490650,25669697,25730562,25839197,26201678,26551166,27361457,28296446,28765757,28933937,28963578,29270081,30109181,30588780,30946481,31315288,31332235,31559357,31726337,32060081,32282417,32628032,33131215,33164078,33218776,33225917,34056497,34480450,34549646,34609217,34895678,35229699,35381681,35596696,36207581,36278366,36286690,36706536,37031681,37259115,37371123,37525277,37598682,37908737,38205986,38348078,38362107,39002177,39247747,39300292,39725006,39743056,39757458,39944535,40037981,40046283,40068878,40799357,41125181,41294853,41342237,41376540,41667581,41992637,42129086,42263297,42607504,42720856,43544028,44134976,44224372,44690237,44710938,44905181,45209678,45656477,45669175,45710081,46040536,47163259,47256926,47261117,47314481,47933442,48060963,48113981,48380081,48699137,49230257,49282555,49651848,50241243,50318078,50501681,51234292,51674846,51795603,52557917,53143576,53607677,54235997,54579980,54706481,54803010,55394078,55697597,55828346,55858329,56009981,56068210,56478017,57078878,57518596,58456544,58601981,58712235,59139066,59760088,59786523,61389015,61840555,62197181,62503517,62626384,62911517,62962481,63183531,63268097,63779572,64478488,64656284,65481616,65495976,65551037,65763612,67214897,67230099,67247812,67281852,67940596,67968317,68219057,69569597,69769181,70403650,70427678,70454682,70853035,70939778,71063357,71510081,71807537,72091252,72538299,72698177,73487681,73666818,73682973,74162692,74208666,74225981,74766257,75648257,75702686,77427015,77971400,78326366,78653678,78860081,79295357,79692627,79754780,79814746,79840735,80019377,80614526,81078017,81941297,81953619,82588816,82658717,82748155,82819096,84325697,84484380,85023642,85084481,85166596,85431435,85493966,86218817,86789678,87207581,87717825,88192817,88333277,88343650,88406078,88613981,88894397,89827037,89847256,90018878,90116672,90292157,90783256,91126864,91306526,91628078,91821377,91913777,92366120,92912418,93171483,93191455,93204017,93479681,93565680,93709181,94167581,94221055,94515566,94580563,94670897,94872175,94992088,95705736,95808882,95811197,96096772,96114686,96719837,96753326,97308737,97399217,97580081,98028878,98418747,98887517,98932481,99297786,99803392,99903356,...,11892542851147742623670741555730617885560445586616701975784840177938409577636386084073033454888081417751800740967738894870952670006400181608386098296973354013559377226916177581057533825426952824501991881213758335359792861362982117056150444372650706722221325566096128934237474700316410032003277423889674040416556336983413697718535822846694515107060055637619892963105023664481398240689347446000944260545780751486526899352888564856931723216563178301120660322282354253652223645295397685173224337906583254528384641357314944436595248771059899310847322531070727852770919950131157260475064323308328038600163420746125396054126141428415495007175395312803584954208454822133506995032950646873671976376878291906368356190208736226400049409336548196261075952193502058119433679535574909802466769442277965981374120040993062879652750468328846880121429405430211145315882514356336746104635415329330827164042404784529235676634266107672032610968344552344383926548153009214009077443187424791590974948863638051804569857711129468060862881630068098352023332161870302695448449874538581815815323331984317019169320703979173730396355035470642668588501735238781263306020018657386250514490036276891293165125615511389456882658811495360042964141933305308538483746182053986090888942219857572121211196516699449830619662546542364552909576644627227641260810598251294823889806040517621464149008404571076371133046621780404887818119910071108113715632348904296855407761590878527046332113766591017708487815586576825521450771671654329208799565547082335577743323736048027667219393695659307188194238833259206142352434258769758624008571157760964731431594579835505160845538866837551462170664028283785420163957251457033241644058509329164513560831483542921228313582197856837994661715575637606314903156823570363817700395039522505243133118752045799631374468079477169121405473363681653650103611834314709009246925861230955710404524267799809600514464007623966042551020869491320789666214200624399097342624129279086796798985196467350598508555711323097804893656374511880883836169368462540559560195301743619496088991119073899504120263395689458859506713214456455648967254393034544259446806854494257658256839775811782157478872040105658177050322696449405220806210197544316358677861887307996072483754447264820359116662014894919943015955252615919354293628287469269603836430254957605822400421443227521350090587043800842037604485429016560794809595074075133878271534117597606539474674917176314184542693493921347316777633445294473284687930121196755276510249133242944099521380533686353577722741985704855629374733429912582503020721554741552204608974723744547278116657552693886929660806231001831646003229246843706586371434974358737593415954803198619624743586869374721694541767380550843789652100071299405080381636072983539114264256658747492010520390609528441158165970857085907290556689102162052484959188202663585615344602902990625345169971626932863887575954637176504591294480720479138324268869624802047614299350937848237245663758125562127098975083289209450126603036687474463127418067471770929390389308146306490840715206023732596097520311653180119158993324773459258305843439832414264125958010080087312177223720679054939917331264298929532263573973679527221350843895363900871145772691475674249180698313695838889736128802402751972404731616872710340751852711045931031646057824905255456544779154654054038837472437830126601083338802645267815971640539248685752150722761215747903666847524847753516439650259361706726678935405447492612456394572725087914882615752282366140324471334304414294704681520213528592371082798940018926259616848251132006608723953349644679900241995291204771307350563411741137809790195734138013450853302399871851049303739113859227953485397060362643859588403000911034864900568902085620185954779571147324852185791001374012330624757700451959048658888007817975772517810452420096619887124438330994200032542783310270754561561042876633023881331529744062030606664646626577459355335353915700545077286089279431308187057284866069112216708934201782877267967925535525623387065725941487387782734352177450981718146110116993960457596491727359961349380577574876411541770867006916645381469358321856009511050725637455774633849492076059577076081148092393563229030762684472281433968788091073204811749488856713069644940492812108168657712895691040900775021883973972196186621305570349777223372725758155311219878589191669470963203967495582781683260694512286857781414365957151030976101846411760061757970046989545950833645787106673576569999170679352390121982577485479958921686294976731832568215206054989264899322597208573338867192358895173718193250088470935996811468143733984867449639666682277219338275246560320022248838976320376544504183044002064398320112601253113875902696116816923384150816039633469247483825364007437721993757502986995999369052118695576553800729}
30019  293027995004366313639133429311609978624714255783204549754577047625084510181810250197213: {240104,270117,450165,480176,540198,4647365,4828229,5576838,6086549,6267701,6627569,6897470,7990509,8276964,8695070,8964917,9684509,10032245,10434084,11114789,11215886,12038694,12280269,13350549,14509745,15171398,15878270,15954148,16022469,17330174,17411694,17623029,18304949,19053924,20094437,20272564,20286309,21900029,22546565,22791640,22944189,22969349,23338061,23475117,24328565,25495109,25640595,26126517,26933141,26998865,27055878,27349968,27400877,28549528,29066429,29194278,29623204,30156629,30735029,30768714,30885429,30977606,31147109,31413117,31442165,32118219,32398638,34048317,34307416,34613969,34775174,37281566,37343909,37380749,37730598,38062637,38235975,38595843,38618104,38871206,39144110,39302517,39826749,40285469,40785040,41508749,41523470,41743757,41762846,42444669,43445367,44495870,44911421,45883170,46500629,46972932,47179109,48942048,49125365,49330229,49678820,49746117,49828164,50131576,50391038,51149476,51552677,51720675,51824469,52013126,52290077,52343517,53009944,53259380,53395044,53401070,53964494,53969669,54359189,54417549,54430035,54798086,55059804,55168720,55280465,56398023,56418677,56591957,57296414,57308979,57522117,57550670,58058704,58577486,58950438,59587509,59614584,59636187,60103317,62064810,62145917,63193629,63334289,63911256,64042865,64081284,64569518,64745414,65316042,65847317,66202464,66336558,66429470,66988324,67066407,67094417,67531697,67814517,68224975,69060804,70566269,70885389,71213966,71898245,71900163,72083549,72265214,72466709,73070680,74278814,74477772,74700110,74822417,75477117,75899429,76627517,76851438,77512269,77733389,78282980,78616349,78852088,79435349,79715364,79724465,79736006,80367806,80598110,80743046,80820355,81852020,81869970,82204515,83091117,83118077,83481926,83742519,84059765,84102315,84244708,84425774,84508181,84925745,85618317,86277894,87327968,87684816,88708599,89245877,89640132,89709136,90114065,90877829,91333286,91693469,92235014,92405189,92703365,93939576,94453841,94660109,95669358,96717732,96984426,97464250,98222424,98243964,98645418,98944888,99115277,99693475,...,15856723801530323498227655407640823847413927448822269301046453570584546103515181445430711273184108557002400987956985193161270226675200242144514797729297805351412502969221570108076711767235937099335989174951677780479723815150642822741533925830200942296295100754794838578983299600421880042671036565186232053888741782644551596958047763795592686809413407516826523950806698219308530987585796594667925680727707668648702532470518086475908964288750904401494213763043139004869631527060530246897632450542111006037846188476419925915460331694746532414463096708094303803694559933508209680633419097744437384800217894328167194738834855237887326676233860417071446605611273096178009326710600862498229301835837722541824474920278314968533399212448730928348101269591336077492578239380766546403289025923037287975165493387990750506203667291105129173495239207240281527087843352475115661472847220439107769552056539712705647568845688143562710147957792736459178568730870678952012103257583233055454633265151517402406093143614839290747817175506757464469364442882493736927264599832718109087753764442645756025559094271972231640528473380627523558118002313651708351074693358209848334019320048369188390886834154015185942510211748660480057285522577740411384644994909405314787851922959810096161614928688932599774159550062056486070546102192836303521681080797668393098519741387356828618865344539428101828177395495707206517090826546761477484954176465205729140543682121171369395109485022121356944650420782102434028601028895539105611732754062776447436991098314730703556292524927545742917592318444345608189803245678359678165344761543681286308575459439780673547794051822450068616227552037711713893551943001942710988858744679105552684747775311390561637751442930475783992882287434183475086537542431427151756933860052696673657510825002727732841832624105969558828540631151575538200138149112419612012329234481641274280539365690399746134019285343498621390068027825988427719554952267499198796456832172372115729065313595289800798011407615097463739858208499349174511781559157950054079413593735658159328118654825431866005493684527585945146008950952608607531956339190712725679262409139325676877675786367749042876638496053474210902733763595265873627741613596725755144903815849743994763311672596353093812155549353193226590687940336821225805724837716625692805115240339943474429867228590970028466787449391734456050139313905355414393079460098766845171028712156796808719299566556235085579390257991895129755703511260392631046250573494929007035346998844323925466028507378248471436963655980939807505832977906550110004027628739655402939478632964992729704155543403591849239547741641335775528004305662458275448495246632478316791221273070931492832991449159166295592722356507401125052869466761732540107175514763978052152352342211663322680693854146037921544221294476114543054075585469549403313278917603551447487126137203987500460226628835910485183434606182902006121725974293972184432358492833069396819065801250464316327551677500749502798633444385612600168804048916632617503224089962361239187185744195075321120953608031643461463360415537573492211991099697945677741124586443219018834610680106783082902964960905406586556441685731906043018098631572702961801125193818534494861030255300898998907597751594451852981505069870335963206308822496947121002470281394574708861410433207007275393038872872072051783296583773502134777785070193690421295520718998247669534297014954330538222463366463671355252867012482275635571913873929990149941859430300117219843487669709821520432628445739219059606242026951371456494777065253358568346155797668176008811631937799526239866989327054939695076467417882321517079720260978850684601137736533162468065738318818478970604647196080483525146117870667881379819867425202780826914606372761529766469581054668498683107499676933935945398211850677090634363357080603226795493182832584441325600043390377747027672748748057168844031841775372992082707475552862168769945807113805220934060103048119039241744249409713154758816288945245602377169690623900714034164516087634588649850376979136236601308957528146822658613943461988969813281799174103433168548722361156009222193841959144429141346014734300849941032845132656101412769434774864123191417638707683579296375245291717454764273082332651808950759526587323749477558210283860921387867700029178631962928248828407427133036297830301010873748293171452255559294617605289994110375577680926016382477041885821276201374634802461882346749010626729319394601111527716142231435426665560905803186829310103313973278562248393302309110090953608073319019865763462944764451822923145193564957591000117961247995748624191645313156599519555576369625784366995413760029665118635093835392672244058669419197760150135004151834536928155755897845534421386177958996645100485343250295991676670649327999158736158260768738400972}
30020  293938918479598680989313749024822432609953669252482748433110838490573845455766686200369: {210091,300130,360156,420154,600220,720264,810297,929659,1109371,1739362,1827499,2186131,3081451,3535162,4153459,4252474,4688491,5804674,6043234,7435784,8187394,8306362,8365257,9019834,9970234,10003171,10346205,10355179,10654012,10800994,11035952,11233939,11867962,12110899,12415446,12461179,12811171,12986059,13042605,13643362,13912112,15297154,15651126,16051592,16121731,16373692,16476514,16823829,16988611,17800732,18058041,18199219,18544459,19750531,19942685,20591674,20708962,20781499,21363292,21467371,21981019,22494019,22757097,23051362,23215592,23497372,23688499,23817405,23931222,24199339,24803962,24879451,24980837,25340705,25405232,25503994,25727971,25995261,26117541,26552962,26743819,27048412,28489550,28580886,28763194,28935931,28995514,30018989,30408846,30592252,31300156,31450171,31617211,33283651,33790841,34187460,34835356,34942891,35439259,35686910,35704954,35934979,36074504,36280834,36395962,36466624,37029005,37086394,37089139,37253731,38925704,40040779,40529914,40583817,40693531,40856539,41024952,41180572,41345131,41884156,41995579,42320371,42824292,42884270,43198184,43791417,43865129,43940011,44434806,45397756,45713299,46009594,46153071,46195411,46383701,46466409,46578274,47260162,47317819,47373754,48272630,48281914,48597957,48755731,48962362,49233739,50307464,50801366,50822419,50981300,51339394,51461124,51678394,52162761,52403356,53102332,54292171,54722914,54762619,55738397,55857811,55922349,56592892,56595897,57416251,57531514,57867874,57927156,58306809,58540162,58716165,59585971,60218362,61177560,61280851,61741579,61892962,62098525,62285205,62630576,62644269,62664470,62967019,63118714,63272659,63425371,63452674,63936845,64120162,64564834,64948531,65256064,66010459,66262430,66328156,66437552,66451834,66574225,66743805,67219771,68112994,68824755,68960900,68995577,69099292,69218434,69774259,69791356,70459398,70763362,71118211,71193392,72415162,72556732,72573380,72752899,73345171,73413072,74063362,74518230,74742246,74967979,75050554,75197364,75409051,75586557,75817474,76411972,76696156,76724214,78004354,78019689,78495494,78600584,79059451,79450012,79486112,79514916,79889070,79928851,80075962,80092566,80101605,80137756,80946741,81598714,82197129,82250362,82521499,82589706,82664851,82684474,82753080,83335162,83735405,83985274,84258172,84526594,85215008,85374859,85441712,85516771,85944621,86326005,86576777,87088056,87866229,88269952,88339891,88425657,88448744,88620619,89380474,89421876,89810362,89880331,90419356,91312954,91338350,91420162,91966891,92081072,93097215,93762139,94326518,94449379,94513852,94522234,94628962,94723771,95408491,95866884,96121926,96227962,96760162,96772531,96854277,97118121,97398274,97853725,97974063,97994011,98460514,98565110,98940019,99194249,99303696,99479011,99504837,99644205,...,23785085702295485247341483111461235771120891173233403951569680355876819155272772168146066909776162835503601481935477789741905340012800363216772196593946708027118754453832355162115067650853905649003983762427516670719585722725964234112300888745301413444442651132192257868474949400632820064006554847779348080833112673966827395437071645693389030214120111275239785926210047328962796481378694892001888521091561502973053798705777129713863446433126356602241320644564708507304447290590795370346448675813166509056769282714629888873190497542119798621694645062141455705541839900262314520950128646616656077200326841492250792108252282856830990014350790625607169908416909644267013990065901293747343952753756583812736712380417472452800098818673096392522151904387004116238867359071149819604933538884555931962748240081986125759305500936657693760242858810860422290631765028712673492209270830658661654328084809569058471353268532215344065221936689104688767853096306018428018154886374849583181949897727276103609139715422258936121725763260136196704046664323740605390896899749077163631630646663968634038338641407958347460792710070941285337177003470477562526612040037314772501028980072553782586330251231022778913765317622990720085928283866610617076967492364107972181777884439715144242422393033398899661239325093084729105819153289254455282521621196502589647779612081035242928298016809142152742266093243560809775636239820142216227431264697808593710815523181757054092664227533182035416975631173153651042901543343308658417599131094164671155486647472096055334438787391318614376388477666518412284704868517539517248017142315521929462863189159671010321691077733675102924341328056567570840327914502914066483288117018658329027121662967085842456627164395713675989323431151275212629806313647140727635400790079045010486266237504091599262748936158954338242810946727363307300207223668629418018493851722461911420809048535599619201028928015247932085102041738982641579332428401248798194685248258558173593597970392934701197017111422646195609787312749023761767672338736925081119120390603487238992177982238147799008240526791378917719013426428912911297934508786069088518893613708988515316513679551623564314957744080211316354100645392898810441612420395088632717355723774615992144967508894529640718233324029789839886031910505231838708587256574938539207672860509915211644800842886455042700181174087601684075208970858033121589619190148150267756543068235195213078949349834352628369085386987842694633555266890588946569375860242393510553020498266485888199042761067372707155445483971409711258749466859825165006041443109483104409217949447489094556233315105387773859321612462003663292006458493687413172742869948717475186831909606397239249487173738749443389083534761101687579304200142598810160763272145967078228528513317494984021040781219056882316331941714171814581113378204324104969918376405327171230689205805981250690339943253865727775151909274353009182588961440958276648537739249604095228598701875696474491327516251124254197950166578418900253206073374948926254836134943541858780778616292612981681430412047465192195040623306360238317986649546918516611686879664828528251916020160174624354447441358109879834662528597859064527147947359054442701687790727801742291545382951348498361396627391677779472257604805503944809463233745420681503705422091862063292115649810510913089558309308108077674944875660253202166677605290535631943281078497371504301445522431495807333695049695507032879300518723413453357870810894985224912789145450175829765231504564732280648942668608828589409363040427057184742165597880037852519233696502264013217447906699289359800483990582409542614701126823482275619580391468276026901706604799743702098607478227718455906970794120725287719176806001822069729801137804171240371909559142294649704371582002748024661249515400903918097317776015635951545035620904840193239774248876661988400065085566620541509123122085753266047762663059488124061213329293253154918710670707831401090154572178558862616374114569732138224433417868403565754535935851071051246774131451882974775565468704354901963436292220233987920915192983454719922698761155149752823083541734013833290762938716643712019022101451274911549267698984152119154152162296184787126458061525368944562867937576182146409623498977713426139289880985624216337315425791382081801550043767947944392373242611140699554446745451516310622439757178383338941926407934991165563366521389024573715562828731914302061952203692823520123515940093979091901667291574213347153139998341358704780243965154970959917843372589953463665136430412109978529798645194417146677734384717790347436386500176941871993622936287467969734899279333364554438676550493120640044497677952640753089008366088004128796640225202506227751805392233633846768301632079266938494967650728014875443987515005973991998738104237391153107601458}
30021  294852657204795027348305117769354363808364788938200672659088370882910381167634057564571: {450195,480208,540234,630231,750275,900330,960352,1080396,2609043,5302743,6378711,6506311,7407283,8707011,9064851,9294730,9656458,10823863,11153676,12173098,12281091,12459543,12535402,13255138,13317515,13529751,13794940,14045143,14955351,15981018,16201491,16553928,17390140,17801943,17929834,18623169,19369018,20064490,20313643,20465043,20467115,20868168,22229578,22250915,22431772,22945731,23476689,23747971,24077388,24476503,24560538,24714771,26701098,26704115,27323351,28790599,29019490,29292659,29371715,30342796,30887511,31063443,31565191,31756540,31908296,32044938,33810515,34059991,34577043,34660348,34823388,35246058,35896833,36609898,37205943,37798411,38107848,38240315,38255991,39125195,39829443,39919351,40188874,40545128,40572618,40997443,42218531,42734325,42871329,43055639,43144791,43493271,43544195,43800058,44019031,45018611,45093130,45583280,45613269,45888378,45938698,46676122,46950234,48657130,48870791,49333531,50990218,51281190,51475715,52253034,52355195,53530365,53557431,53866282,53997730,54111756,54421251,54593943,54699936,54801754,55629591,56747195,56779811,57099056,58132858,58388556,59246408,60313258,60794871,60925891,61470058,61537428,61607339,61770858,61955212,62294218,62649719,62826234,62884330,63726625,64236438,64326405,64797276,65031371,65504195,66108743,66377915,66527171,66652209,67702171,68096634,68614832,68775511,69014391,69227938,69550348,69560243,69867411,70741115,70890243,71060631,72378899,72408945,72422871,73443543,74164243,74533211,74563132,74687818,74761498,75461196,76125274,76202049,76471950,77009091,77191686,77236208,77392651,77517591,77742412,78288220,78472291,78605034,78868183,79653498,80570938,81570080,82084371,82164599,82910195,83017498,83046940,83487514,83525692,84111731,84707243,84889338,85642519,86201125,86297271,86374115,86801811,86890734,87239195,87810243,88003619,88991740,89660011,89822842,89989271,90327543,90695915,90716725,91766340,92839443,93001258,93945864,93996705,94358218,94678071,95179011,95514965,95777891,95870195,96180243,96847251,97884096,97913483,98250730,98660458,99312515,99357640,99393645,99492234,99656328,99677751,...,35677628553443227871012224667191853656681336759850105927354520533815228732909158252219100364664244253255402222903216684612858010019200544825158294890920062040678131680748532743172601476280858473505975643641275006079378584088946351168451333117952120166663976698288386802712424100949230096009832271669022121249669010950241093155607468540083545321180166912859678889315070993444194722068042338002832781637342254459580698058665694570795169649689534903361980966847062760956670935886193055519673013719749763585153924071944833309785746313179697932541967593212183558312759850393471781425192969924984115800490262238376188162378424285246485021526185938410754862625364466400520985098851940621015929130634875719105068570626208679200148228009644588783227856580506174358301038606724729407400308326833897944122360122979188638958251404986540640364288216290633435947647543069010238313906245987992481492127214353587707029902798323016097832905033657033151779644459027642027232329562274374772924846590914155413709573133388404182588644890204295056069996485610908086345349623615745447445969995952951057507962111937521191189065106411928005765505205716343789918060055972158751543470108830673879495376846534168370647976434486080128892425799915925615451238546161958272666826659572716363633589550098349491858987639627093658728729933881682923782431794753884471669418121552864392447025213713229113399139865341214663454359730213324341146897046712890566223284772635581138996341299773053125463446759730476564352315014962987626398696641247006733229971208144083001658181086977921564582716499777618427057302776309275872025713473282894194294783739506515482536616600512654386511992084851356260491871754371099724932175527987493540682494450628763684940746593570513983985146726912818944709470470711091453101185118567515729399356256137398894123404238431507364216420091044960950310835502944127027740777583692867131213572803399428801543392022871898127653062608473962368998642601873197292027872387837260390396955589402051795525667133969293414680969123535642651508508105387621678680585905230858488266973357221698512360790187068376578520139643369366946901763179103632778340420563482772974770519327435346472436616120316974531150968089348215662418630592632949076033585661923988217451263341794461077349986044684759829047865757847758062880884862407808811509290764872817467201264329682564050271761131402526112813456287049682384428785222225401634814602352792819618424024751528942553628080481764041950332900335883419854063790363590265829530747399728832298564141601059060733168225957114566888124200289737747509062164664224656613826924171233641834349972658081660788982418693005494938009687740531119759114304923076212780247864409595858874230760608124165083625302141652531368956300213898215241144908218950617342792769976242476031561171828585323474497912571257721871670067306486157454877564607990756846033808708971876035509914880798591662727863911529513773883442161437414972806608874406142842898052813544711736991274376686381296925249867628350379809110062423389382254202415312788171167924438919472522145618071197788292560934959540357476979974320377774917530319497242792377874030240261936531671162037164819751993792896788596790721921038581664052531686091702613437318074427022747542094941087516669208386407208255917214194850618131022255558133137793094938173474715766369634337463962162116512417313490379803250016407935803447914921617746057256452168283647243711000542574543260549318950778085120180036806216342477837369183718175263744647847256847098420973414002913242884114044560640585777113248396820056778778850544753396019826171860048934039700725985873614313922051690235223413429370587202414040352559907199615553147911217341577683860456191181087931578765209002733104594701706706256860557864338713441974556557373004122036991874273101355877145976664023453927317553431357260289859661373314992982600097628349930812263684683128629899071643994589232186091819993939879732378066006061747101635231858267838293924561171854598207336650126802605348631803903776606576870161197177824462163348203056532352945154438330350981881372789475182079884048141732724629234625312601020749936144408074965568028533152176912367323901548476228178731228243444277180689687092288053416844301906364273219614435248466570139208934821478436324505973138687073122702325065651921916588559863916711049331670118177274465933659635767575008412889611902486748345049782083536860573344243097871453092928305539235280185273910140968637852500937361320020729709997512038057170365947732456439876765058884930195497704645618164967794697967791625720016601577076685521154579750265412807990434404431201954602348919000046831658014825739680960066746516928961129633512549132006193194960337803759341627708088350450770152452448118900407742451476092022313165981272508960987998107156356086729661402187}
30022  295769219829878857956623854714077731106099339260331870540578849434559118735455299312695: {330121,420182,600260,720312,810351,840308,1200440,1350495,1440528,1620594,1859318,2218742,3022021,3478724,3654998,4372262,4451077,6162902,6940837,7070324,7826617,8003557,8306918,8357221,8504948,9376982,10473157,10649017,11527237,11609348,12086468,13278277,13942095,14484687,14499721,14871568,15370021,16374788,16612724,16730514,16758757,17243675,17451397,17624377,18039668,18259647,18803103,19350217,19882707,19940468,20006342,20038537,20692410,20710358,21068857,21308024,21601988,21737675,22071904,22467878,23735924,23971527,23974021,24221798,24830892,24922358,25622342,25972118,26085210,26894751,27286724,27824224,27919759,28039715,29053527,29386117,30096735,30594308,30727621,31302252,32103184,32243462,32747384,32953028,33230521,33344367,33563017,33647658,33977222,35386597,35476987,35601464,36116082,36398438,36840807,37088918,37859257,37928495,39007621,39335077,39501062,39695675,39885370,39915359,40051647,41183348,41417924,41456521,41562998,42269221,42726584,42934742,43325435,43403977,43529235,43962038,44373817,44988038,45018937,45514194,45823717,45984457,46102724,46431184,46994744,47376998,47634810,47862444,48067407,48398678,49024837,49607924,49758902,49961674,50681410,50810464,51007988,51090121,51455942,51840607,51990522,52235082,52670521,52869087,53105924,53487638,53772517,54096824,54914847,56122057,56979100,57057337,57161772,57526388,57834757,57871862,57991028,58145221,59384197,60037978,60283311,60817692,60858927,61184504,61541317,61675031,62308297,62600312,62900342,63073477,63234422,64598437,65700087,65872651,66567302,66570121,67325221,67581682,67639695,68374920,68832567,68908047,69670712,69879097,69885782,70014183,70425351,70878518,71073721,71373820,71409908,71869958,72149008,72561668,72791924,72933248,72985695,73596997,74058010,74172788,74178278,74507462,74777221,76485327,76921785,77269897,77444015,77851408,78144697,78379551,80081558,80175817,80799423,80996595,81059828,81167634,81330121,81387062,81713078,82049221,82049904,82202631,82361144,82690262,83768312,83910457,83991158,84640742,85648584,85768540,86042917,86326021,86396368,86937935,87199287,87582834,87730258,87880022,88159177,88720777,88860997,88869612,89511583,90259237,90469887,90795512,91426598,91650277,91927621,92019188,92205087,92306142,92390822,92656287,92767402,92932818,93156548,93203915,93441327,93585637,94239351,94326495,94520324,94635638,94747508,95643577,96354657,96545260,96563828,97178015,97195914,97414021,97511462,97860275,97924724,98467478,98767621,...,47570171404590970494682966222922471542241782346466807903139360711753638310545544336292133819552325671007202963870955579483810680025600726433544393187893416054237508907664710324230135301707811298007967524855033341439171445451928468224601777490602826888885302264384515736949898801265640128013109695558696161666225347933654790874143291386778060428240222550479571852420094657925592962757389784003777042183123005946107597411554259427726892866252713204482641289129417014608894581181590740692897351626333018113538565429259777746380995084239597243389290124282911411083679800524629041900257293233312154400653682984501584216504565713661980028701581251214339816833819288534027980131802587494687905507513167625473424760834944905600197637346192785044303808774008232477734718142299639209867077769111863925496480163972251518611001873315387520485717621720844581263530057425346984418541661317323308656169619138116942706537064430688130443873378209377535706192612036856036309772749699166363899795454552207218279430844517872243451526520272393408093328647481210781793799498154327263261293327937268076677282815916694921585420141882570674354006940955125053224080074629545002057960145107565172660502462045557827530635245981440171856567733221234153934984728215944363555768879430288484844786066797799322478650186169458211638306578508910565043242393005179295559224162070485856596033618284305484532186487121619551272479640284432454862529395617187421631046363514108185328455066364070833951262346307302085803086686617316835198262188329342310973294944192110668877574782637228752776955333036824569409737035079034496034284631043858925726378319342020643382155467350205848682656113135141680655829005828132966576234037316658054243325934171684913254328791427351978646862302550425259612627294281455270801580158090020972532475008183198525497872317908676485621893454726614600414447337258836036987703444923822841618097071199238402057856030495864170204083477965283158664856802497596389370496517116347187195940785869402394034222845292391219574625498047523535344677473850162238240781206974477984355964476295598016481053582757835438026852857825822595869017572138177037787227417977030633027359103247128629915488160422632708201290785797620883224840790177265434711447549231984289935017789059281436466648059579679772063821010463677417174513149877078415345721019830423289601685772910085400362348175203368150417941716066243179238380296300535513086136470390426157898699668705256738170773975685389267110533781177893138751720484787021106040996532971776398085522134745414310890967942819422517498933719650330012082886218966208818435898894978189112466630210775547718643224924007326584012916987374826345485739897434950373663819212794478498974347477498886778167069522203375158608400285197620321526544291934156457057026634989968042081562438113764632663883428343629162226756408648209939836752810654342461378411611962501380679886507731455550303818548706018365177922881916553297075478499208190457197403751392948982655032502248508395900333156837800506412146749897852509672269887083717561557232585225963362860824094930384390081246612720476635973299093837033223373759329657056503832040320349248708894882716219759669325057195718129054295894718108885403375581455603484583090765902696996722793254783355558944515209611007889618926467490841363007410844183724126584231299621021826179116618616216155349889751320506404333355210581071263886562156994743008602891044862991614667390099391014065758601037446826906715741621789970449825578290900351659530463009129464561297885337217657178818726080854114369484331195760075705038467393004528026434895813398578719600967981164819085229402253646964551239160782936552053803413209599487404197214956455436911813941588241450575438353612003644139459602275608342480743819118284589299408743164005496049322499030801807836194635552031271903090071241809680386479548497753323976800130171133241083018246244171506532095525326118976248122426658586506309837421341415662802180309144357117725232748229139464276448866835736807131509071871702142102493548262903765949551130937408709803926872584440467975841830385966909439845397522310299505646167083468027666581525877433287424038044202902549823098535397968304238308304324592369574252916123050737889125735875152364292819246997955426852278579761971248432674630851582764163603100087535895888784746485222281399108893490903032621244879514356766677883852815869982331126733042778049147431125657463828604123904407385647040247031880187958183803334583148426694306279996682717409560487930309941919835686745179906927330272860824219957059597290388834293355468769435580694872773000353883743987245872574935939469798558666729108877353100986241280088995355905281506178016732176008257593280450405012455503610784467267693536603264158533876989935301456029750887975030011947983997476208474782306215202916}
30023  296688615031195686884411915756427692579771141301398572520988227252276746013350787822814: {630273,750325,900390,960416,1050385,1080468,1260462,1500550,1800660,1920704,2160792,2430891,2788977,3328113,4348405,5218086,5482497,6558393,7587217,8666821,8837905,9244353,9564577,10605486,10631185,11723353,12460377,12757422,13012622,14065473,14511685,14814566,15108085,17414022,17466097,18129702,18589460,18644521,19312916,20468485,20765905,21647726,22307352,22549585,23937241,24346196,24562182,24919086,24925585,25070804,25095771,26510276,26635030,27002485,27059502,27589880,28090286,28251337,28653961,29669905,29910702,30009513,30036841,31038615,31065537,31151281,31962036,32291233,32402982,33107856,33701817,34108405,34618597,34780280,35603886,35859668,36332697,36505393,37246338,37383537,37385761,38242885,38433513,38738036,38958177,39127815,40128980,40191961,40627286,40817761,40930086,40934230,41120401,41191285,41736336,43058521,44459156,44501830,44863544,45264421,45675817,45891462,46953378,47185417,47334721,47495942,48154776,48365193,48945457,48953006,49121076,49429542,50247433,50471487,50883937,50965833,51479185,51772405,53203813,53402196,53408230,53536441,54174123,54366457,54597657,54646702,54775273,55633377,57111553,57581198,57628405,58038980,58148161,58585318,58741177,58743430,59251593,59828055,60685592,60961873,61775022,62009905,62126886,62344497,63130382,63305737,63342757,63513080,63759985,63816592,64089876,64402113,64508761,65330641,65856121,65943057,66382405,67103413,67482057,67621030,68119982,68203633,68271291,69154086,69320696,69646776,70492116,70575721,71065497,71223875,71452215,71793666,71907985,72066001,72488785,72598017,73072417,73219796,73297273,74040577,74353897,74411886,74638353,74832421,74942511,75596822,75909577,76022115,76215696,76480630,76511982,77183913,77743801,77985783,78250390,78352623,79446073,79658886,79838702,80231457,80377748,81090256,81145236,81994886,82170121,82959841,84036853,84437062,85468650,85742658,86111278,86289582,86807793,86986542,87088390,87259033,87600116,87738853,88038062,88657921,89217275,89262385,90037222,90056967,90186260,90702085,90989905,91166560,91226538,91705873,91776756,91877396,92715985,92929081,93352244,93900468,94098313,94350513,94672801,94851633,97103617,97314260,97741582,97920037,98667062,99037561,99404773,99850953,...,71355257106886455742024449334383707313362673519700211854709041067630457465818316504438200729328488506510804445806433369225716020038401089650316589781840124081356263361497065486345202952561716947011951287282550012158757168177892702336902666235904240333327953396576773605424848201898460192019664543338044242499338021900482186311214937080167090642360333825719357778630141986888389444136084676005665563274684508919161396117331389141590339299379069806723961933694125521913341871772386111039346027439499527170307848143889666619571492626359395865083935186424367116625519700786943562850385939849968231600980524476752376324756848570492970043052371876821509725250728932801041970197703881242031858261269751438210137141252417358400296456019289177566455713161012348716602077213449458814800616653667795888244720245958377277916502809973081280728576432581266871895295086138020476627812491975984962984254428707175414059805596646032195665810067314066303559288918055284054464659124548749545849693181828310827419146266776808365177289780408590112139992971221816172690699247231490894891939991905902115015924223875042382378130212823856011531010411432687579836120111944317503086940217661347758990753693068336741295952868972160257784851599831851230902477092323916545333653319145432727267179100196698983717975279254187317457459867763365847564863589507768943338836243105728784894050427426458226798279730682429326908719460426648682293794093425781132446569545271162277992682599546106250926893519460953128704630029925975252797393282494013466459942416288166003316362173955843129165432999555236854114605552618551744051426946565788388589567479013030965073233201025308773023984169702712520983743508742199449864351055974987081364988901257527369881493187141027967970293453825637889418940941422182906202370237135031458798712512274797788246808476863014728432840182089921900621671005888254055481555167385734262427145606798857603086784045743796255306125216947924737997285203746394584055744775674520780793911178804103591051334267938586829361938247071285303017016210775243357361171810461716976533946714443397024721580374136753157040279286738733893803526358207265556680841126965545949541038654870692944873232240633949062301936178696431324837261185265898152067171323847976434902526683588922154699972089369519658095731515695516125761769724815617623018581529745634934402528659365128100543522262805052225626912574099364768857570444450803269629204705585639236848049503057885107256160963528083900665800671766839708127580727180531659061494799457664597128283202118121466336451914229133776248400579475495018124329328449313227653848342467283668699945316163321577964837386010989876019375481062239518228609846152425560495728819191717748461521216248330167250604283305062737912600427796430482289816437901234685585539952484952063122343657170646948995825142515443743340134612972314909755129215981513692067617417943752071019829761597183325455727823059027547766884322874829945613217748812285685796105627089423473982548753372762593850499735256700759618220124846778764508404830625576342335848877838945044291236142395576585121869919080714953959948640755549835060638994485584755748060480523873063342324074329639503987585793577193581443842077163328105063372183405226874636148854045495084189882175033338416772814416511834428389701236262044511116266275586189876346949431532739268674927924324233024834626980759606500032815871606895829843235492114512904336567294487422001085149086521098637901556170240360073612432684955674738367436350527489295694513694196841946828005826485768228089121281171554226496793640113557557701089506792039652343720097868079401451971747228627844103380470446826858741174404828080705119814399231106295822434683155367720912382362175863157530418005466209189403413412513721115728677426883949113114746008244073983748546202711754291953328046907854635106862714520579719322746629985965200195256699861624527369366257259798143287989178464372183639987879759464756132012123494203270463716535676587849122343709196414673300253605210697263607807553213153740322394355648924326696406113064705890308876660701963762745578950364159768096283465449258469250625202041499872288816149931136057066304353824734647803096952456357462456486888554361379374184576106833688603812728546439228870496933140278417869642956872649011946277374146245404650131303843833177119727833422098663340236354548931867319271535150016825779223804973496690099564167073721146688486195742906185856611078470560370547820281937275705001874722640041459419995024076114340731895464912879753530117769860390995409291236329935589395935583251440033203154153371042309159500530825615980868808862403909204697838000093663316029651479361920133493033857922259267025098264012386389920675607518683255416176700901540304904896237800815484902952184044626331962545017921975996214312712173459322804374}
30024  297610851511593274229893311754234971905064944435935415455817056466654367078883399513458: {330143,390143,660242,840364,1200520,1229303,1350585,1440624,1620702,1680616,1890693,2250825,2400880,2700990,2881056,2902919,3081863,3201119,3241188,3718636,4437484,4510823,4689119,5164223,5698103,6044042,6957448,7309996,7827129,7827143,8063063,8416703,8744524,8902154,9123119,10473863,11352503,12325804,13104383,13512119,13881674,14140648,14384519,15429023,15653234,15908229,15950303,16007114,16613836,16714442,16817663,17009896,17279519,17683223,18028943,18753964,18834503,19136133,19408943,19518933,19867919,20269103,20946314,21298034,21298919,22221849,22611023,23054474,23218696,23236825,24032423,24141145,24172936,24996119,25561919,25844519,26121033,26556554,27194553,27535919,27884190,28771703,28939919,28969374,28999442,29743136,30432745,30740042,30785543,31338505,31565903,31732919,31899863,32455823,32471589,32749576,33137845,33225448,33288263,33461028,33517514,34063583,34229519,34487350,34902794,35058119,35248754,35444183,36079336,36519294,36843273,37368623,37378629,37606206,37916663,38080919,38700434,39010343,39174119,39255601,39555983,39765414,39880936,39952545,40012684,40077074,40589253,40807919,40970903,41384820,41420716,41459423,41513663,42135429,42137714,42326303,42434519,42616048,43083143,43203976,43475350,43622783,44143808,44824585,44866053,44935756,45826943,46041263,46469519,47172697,47471848,47943054,47948042,48422545,48443596,48604473,49240703,49399919,49661784,49844716,50161225,51244684,51410423,51944236,52170420,52411343,52726823,53099893,53405829,53461823,53776343,53789502,54573448,55344623,55573945,55648448,55839518,55865783,55869507,55969919,56079430,56749919,57683543,58107054,58149383,58201103,58772234,59439983,59697503,60193470,60655609,60940929,61188616,61392119,61395129,61401345,61455242,61750463,62517023,62604504,63078023,63281783,63434519,64206368,64486924,64603103,65059223,65494768,65565263,65716919,65906056,66120983,66461042,66688734,66752745,67126034,67295316,67330103,67954444,68133623,68837193,68930917,69884183,70430067,70773194,70953974,71128583,71202928,71243913,71724119,72232164,72548725,72714119,72796876,72862343,72888673,73429509,73454519,73681614,74144313,74177836,74782703,75077063,75718514,75856990,77032103,78015242,78586919,78670154,79002124,79071119,79391350,79770740,79830718,80037119,80103294,80112345,80181743,81959519,81970053,82366696,82835848,82913042,83125996,83964263,84538442,84961343,85453168,85624103,85869484,85907663,86371797,86650870,86807954,87058470,87877977,87924076,88115145,88212623,88353119,88493543,88727423,88747634,88914383,89194583,89976076,90037874,90312503,91028388,91286903,91524745,91647434,91968914,91980743,92073119,92205448,92662533,92862368,93087143,93190329,93454919,93989488,94695573,94753996,94966583,95269620,95286119,95514119,95724888,95832983,95969519,96134814,96797356,96877919,98008919,98049674,98775143,99215848,99517804,99583919,99923348,...,107032885660329683613036674001575560970044010279550317782063561601445686198727474756657301093992732759766206668709650053838574030057601634475474884672760186122034395042245598229517804428842575420517926930923825018238135752266839053505353999353856360499991930094865160408137272302847690288029496815007066363749007032850723279466822405620250635963540500738579036667945212980332584166204127014008498344912026763378742094175997083712385508949068604710085942900541188282870012807658579166559019041159249290755461772215834499929357238939539093797625902779636550674938279551180415344275578909774952347401470786715128564487135272855739455064578557815232264587876093399201562955296555821863047787391904627157315205711878626037600444684028933766349683569741518523074903115820174188222200924980501693832367080368937565916874754214959621921092864648871900307842942629207030714941718737963977444476381643060763121089708394969048293498715100971099455338933377082926081696988686823124318774539772742466241128719400165212547765934670612885168209989456832724259036048870847236342337909987858853172523886335812563573567195319235784017296515617149031369754180167916476254630410326492021638486130539602505111943929303458240386677277399747776846353715638485874818000479978718149090900768650295048475576962918881280976186189801645048771347295384261653415008254364658593177341075641139687340197419596023643990363079190639973023440691140138671698669854317906743416989023899319159376390340279191429693056945044888962879196089923741020199689913624432249004974543260933764693748149499332855281171908328927827616077140419848682582884351218519546447609849801537963159535976254554068781475615263113299174796526583962480622047483351886291054822239780711541951955440180738456834128411412133274359303555355702547188198068768412196682370212715294522092649260273134882850932506508832381083222332751078601393640718410198286404630176068615694382959187825421887106995927805619591876083617163511781171190866768206155386577001401907880244042907370606927954525524316162865036041757715692575464800920071665095537082370561205129735560418930108100840705289537310898335021261690448318924311557982306039417309848360950923593452904268044646987255891777898847228100756985771964652353790025383383232049958134054279487143597273543274188642654587223426434527872294618452401603792989047692150815283394207578338440368861149047153286355666676204904443807058378458855272074254586827660884241445292125850998701007650259562191371090770797488592242199186496895692424803177182199504677871343700664372600869213242527186493992673969841480772513700925503049917974244982366947256079016484814029063221593359277342914769228638340743593228787576622692281824372495250875906424957594106868900641694645723434724656851852028378309928727428094683515485755970423493737713773165615010201919458472364632693823972270538101426126915628106529744642395774988183591734588541321650326484312244918419826623218428528694158440634135210973823130059143890775749602885051139427330187270168146762607245938364513503773316758417566436854213593364877682804878621072430939922961133324752590958491728377133622090720785809595013486111494459255981378690365790372165763115744992157595058275107840311954223281068242626284823262550007625159221624767751642584551854393066766674399413379284814520424147299108903012391886486349537251940471139409750049223807410343744764853238171769356504850941731133001627723629781647956852334255360540110418649027433512107551154525791233943541770541295262920242008739728652342133681921757331339745190460170336336551634260188059478515580146802119102177957620842941766155070705670240288111761607242121057679721598846659443733652024733051581368573543263794736295627008199313784105120118770581673593016140325923669672119012366110975622819304067631437929992070361781952660294071780869578984119944978947800292885049792436791054049385889697214931983767696558275459981819639197134198018185241304905695574803514881773683515563794622009950380407816045895411711329819730610483591533473386490044609169597058835463314991052945644118368425546239652144425198173887703875937803062249808433224224896704085599456530737101971704645428684536193684730332831542069061276864160250532905719092819658843305745399710417626804464435308973517919416061219368106975196955765749765679591750133147995010354531823397800978907302725025238668835707460245035149346250610581720032729293614359278784916617705840555821730422905913557502812083960062189129992536114171511097843197369319630295176654790586493113936854494903384093903374877160049804731230056563463739250796238423971303213293605863807046757000140494974044477219042880200239550786883388900537647396018579584881013411278024883124265051352310457357344356701223227354428276066939497943817526882963994321469068260188984206561}
30025  298535938000502105554677224453239063594212518115968474998691641725657347292124151285114: {990363,1050455,1260546,1470539,1500650,1800780,1920832,2100770,2160936,2431053,2520924,3001100,3601320,3841408,4051485,4321584,4648295,4861782,5546855,5577954,6087767,6656226,8696810,8966711,9066063,9137495,9686447,10224203,10436172,10930655,10964994,11303591,12373067,13102571,13116786,13353231,14883659,15174434,15407255,17333642,17675810,18488706,19129154,20316359,20641751,20767295,20822511,21151319,21210972,21262370,22070939,23442455,23446706,23479851,24010671,24920754,25071663,25514844,26025244,26753387,28130946,28655879,29023370,29072267,29629132,29629451,30216170,31055039,31419471,31569419,31921439,31947051,32146007,33570587,34581711,34828044,34895819,34932194,36259404,37178920,37289042,37803479,38625832,39834831,40936970,41531810,41537867,41826285,43295452,43454061,43499163,43632779,44614704,44920427,45099170,45429599,46110063,47751767,47874482,48692392,49124364,49602443,49838172,49851170,50015855,50141608,50191542,50276271,50589647,50887343,51731025,51775895,52354191,52873131,53020552,53270060,53522843,53540039,53980511,54004970,54119004,54778941,55179760,56169695,56180572,56409309,56502674,57307922,57667799,57844631,58050651,59339810,59397503,59648121,59821404,60019026,60073682,60115611,60554495,62077230,62131074,62158379,62302562,62305895,63206571,63924072,64055855,64513079,64582466,64805964,64930295,65213025,66215712,67403634,67545239,67711223,68216810,68539847,69172763,69237194,69421391,69560560,71207772,71719336,71914581,71922063,72070859,72098027,72481367,72665394,73010786,74174159,74492676,74767074,74771522,74815871,76485770,76867026,77476072,77916354,78255630,78482783,78591959,78878747,79672319,80257960,80383922,80608655,80679767,80684253,81254572,81635522,81860172,81868460,82181999,82240802,82382570,83472672,83759277,84119145,84943055,85772039,86117042,86358311,86813867,87160581,88158351,88918312,89003660,89263979,89727088,90290205,90528842,90996095,91351634,91782924,92182863,92722295,92935367,93906756,94370834,94669442,94991884,95472011,96309552,96730386,97110143,97890914,97906012,98061071,98242152,98752655,98859084,99691563,99713425,...,142710514213772911484048898668767414626725347039400423709418082135260914931636633008876401458656977013021608891612866738451432040076802179300633179563680248162712526722994130972690405905123433894023902574565100024317514336355785404673805332471808480666655906793153547210849696403796920384039329086676088484998676043800964372622429874160334181284720667651438715557260283973776778888272169352011331126549369017838322792234662778283180678598758139613447923867388251043826683743544772222078692054878999054340615696287779333239142985252718791730167870372848734233251039401573887125700771879699936463201961048953504752649513697140985940086104743753643019450501457865602083940395407762484063716522539502876420274282504834716800592912038578355132911426322024697433204154426898917629601233307335591776489440491916754555833005619946162561457152865162533743790590172276040953255624983951969925968508857414350828119611193292064391331620134628132607118577836110568108929318249097499091699386363656621654838292533553616730354579560817180224279985942443632345381398494462981789783879983811804230031848447750084764756260425647712023062020822865375159672240223888635006173880435322695517981507386136673482591905737944320515569703199663702461804954184647833090667306638290865454534358200393397967435950558508374634914919735526731695129727179015537886677672486211457569788100854852916453596559461364858653817438920853297364587588186851562264893139090542324555985365199092212501853787038921906257409260059851950505594786564988026932919884832576332006632724347911686258330865999110473708229211105237103488102853893131576777179134958026061930146466402050617546047968339405425041967487017484398899728702111949974162729977802515054739762986374282055935940586907651275778837881882844365812404740474270062917597425024549595576493616953726029456865680364179843801243342011776508110963110334771468524854291213597715206173568091487592510612250433895849475994570407492789168111489551349041561587822357608207182102668535877173658723876494142570606034032421550486714722343620923433953067893428886794049443160748273506314080558573477467787607052716414531113361682253931091899082077309741385889746464481267898124603872357392862649674522370531796304134342647695952869805053367177844309399944178739039316191463031391032251523539449631235246037163059491269868805057318730256201087044525610104451253825148198729537715140888901606539258409411171278473696099006115770214512321927056167801331601343533679416255161454361063318122989598915329194256566404236242932672903828458267552496801158950990036248658656898626455307696684934567337399890632326643155929674772021979752038750962124479036457219692304851120991457638383435496923042432496660334501208566610125475825200855592860964579632875802469371171079904969904126244687314341293897991650285030887486680269225944629819510258431963027384135234835887504142039659523194366650911455646118055095533768645749659891226435497624571371592211254178846947965097506745525187700999470513401519236440249693557529016809661251152684671697755677890088582472284791153170243739838161429907919897281511099670121277988971169511496120961047746126684648148659279007975171587154387162887684154326656210126744366810453749272297708090990168379764350066676833545628833023668856779402472524089022232532551172379752693898863065478537349855848648466049669253961519213000065631743213791659686470984229025808673134588974844002170298173042197275803112340480720147224865369911349476734872701054978591389027388393683893656011652971536456178242562343108452993587280227115115402179013584079304687440195736158802903943494457255688206760940893653717482348809656161410239628798462212591644869366310735441824764724351726315060836010932418378806826825027442231457354853767898226229492016488147967497092405423508583906656093815709270213725429041159438645493259971930400390513399723249054738732514519596286575978356928744367279975759518929512264024246988406540927433071353175698244687418392829346600507210421394527215615106426307480644788711297848653392812226129411780617753321403927525491157900728319536192566930898516938501250404082999744577632299862272114132608707649469295606193904912714924912973777108722758748369152213667377207625457092878457740993866280556835739285913745298023892554748292490809300262607687666354239455666844197326680472709097863734638543070300033651558447609946993380199128334147442293376972391485812371713222156941120741095640563874551410003749445280082918839990048152228681463790929825759507060235539720781990818582472659871178791871166502880066406308306742084618319001061651231961737617724807818409395676000187326632059302958723840266986067715844518534050196528024772779841351215037366510832353401803080609809792475601630969805904368089252663925090035843951992428625424346918645608748}
30026  299463883254016114282946334888651161738210934823361941169200572293404455279942432936211: {390169,660286,780286,1109593,1289269,1320484,1680728,1890819,2007253,2250975,2365813,2401040,2458606,2701170,2881248,3151155,3241404,3260953,3361232,3751375,3781386,4501650,4801760,4867669,5401980,5757769,5762112,5805838,6163726,6402238,6482376,6646069,7292673,7437272,8366931,8874968,9021646,9378238,9984339,10328446,11396206,11762713,12088084,12988693,13045215,13513033,13914896,14619992,14733973,15654258,15654286,16126126,16447491,16833406,17489048,17804308,18246238,18893269,19675179,20947726,21643093,22156633,22705006,22761651,24651608,24884569,25054453,26000463,26208766,26513715,27024238,27733059,27763348,28100053,28281296,28693731,28769038,29278153,30858046,31306468,31623769,31816458,31893555,31900606,32014228,32291353,32531555,33227672,33428884,33635326,33797603,34019792,34559038,34950169,35170059,35366446,35611993,36057886,37036415,37261513,37381131,37426069,37507928,37669006,38272266,38817886,39037866,39735838,40049173,40538206,40702069,40865113,41353813,41516569,41892628,42196419,42491593,42596068,42597838,42605843,43535055,43873907,44110873,44443698,44917813,45222046,45324255,45401113,46108948,46392983,46437392,46473650,48064846,48282290,48345872,49403413,49992238,51123838,51689038,52242066,52398291,53113108,54119315,54389106,55071838,55749551,55768380,55933563,56025973,56805913,57543406,57879838,57938748,57998884,58205269,59486272,59753269,60678613,60865490,61294069,61405455,61480084,61571086,62297715,62677010,62754419,63131806,63439093,63465838,63591769,63799726,64911646,64943178,65499152,66275690,66450896,66576526,66587575,66922056,67035028,67648755,67791563,68127166,68459038,68974700,69789493,69805588,70116238,70225715,70497508,70888366,71729353,71811723,72158672,72768853,73038588,73509193,73686546,74737246,74757258,74776755,74984473,75212412,75287313,75425653,75833326,76161838,77400868,77803523,78020686,78348238,78511202,79076953,79111966,79530828,79761872,79905090,79946569,80025368,80154148,81007455,81178506,81463811,81615838,81941806,82683253,82769640,82841432,82918846,82969813,83027326,84270858,84275428,84652606,84754011,84869038,84967669,85232096,85535893,85961883,86141159,86166286,86407952,86950700,87245566,88287616,88500169,89009715,89201269,89649170,89732106,89871512,90028539,90110523,91653886,92082526,92126233,92939038,93115845,93196611,93453843,93507913,93921013,94345394,94943696,95886108,95896084,96845090,96873699,96887192,97208946,97609753,98151769,98481406,98799838,99323568,99689432,...,214065771320659367226073348003151121940088020559100635564127123202891372397454949513314602187985465519532413337419300107677148060115203268950949769345520372244068790084491196459035608857685150841035853861847650036476271504533678107010707998707712720999983860189730320816274544605695380576058993630014132727498014065701446558933644811240501271927081001477158073335890425960665168332408254028016996689824053526757484188351994167424771017898137209420171885801082376565740025615317158333118038082318498581510923544431668999858714477879078187595251805559273101349876559102360830688551157819549904694802941573430257128974270545711478910129157115630464529175752186798403125910593111643726095574783809254314630411423757252075200889368057867532699367139483037046149806231640348376444401849961003387664734160737875131833749508429919243842185729297743800615685885258414061429883437475927954888952763286121526242179416789938096586997430201942198910677866754165852163393977373646248637549079545484932482257438800330425095531869341225770336419978913665448518072097741694472684675819975717706345047772671625127147134390638471568034593031234298062739508360335832952509260820652984043276972261079205010223887858606916480773354554799495553692707431276971749636000959957436298181801537300590096951153925837762561952372379603290097542694590768523306830016508729317186354682151282279374680394839192047287980726158381279946046881382280277343397339708635813486833978047798638318752780680558382859386113890089777925758392179847482040399379827248864498009949086521867529387496298998665710562343816657855655232154280839697365165768702437039092895219699603075926319071952509108137562951230526226598349593053167924961244094966703772582109644479561423083903910880361476913668256822824266548718607110711405094376396137536824393364740425430589044185298520546269765701865013017664762166444665502157202787281436820396572809260352137231388765918375650843774213991855611239183752167234327023562342381733536412310773154002803815760488085814741213855909051048632325730072083515431385150929601840143330191074164741122410259471120837860216201681410579074621796670042523380896637848623115964612078834619696721901847186905808536089293974511783555797694456201513971543929304707580050766766464099916268108558974287194547086548377285309174446852869055744589236904803207585978095384301630566788415156676880737722298094306572711333352409808887614116756917710544148509173655321768482890584251701997402015300519124382742181541594977184484398372993791384849606354364399009355742687401328745201738426485054372987985347939682961545027401851006099835948489964733894512158032969628058126443186718554685829538457276681487186457575153245384563648744990501751812849915188213737801283389291446869449313703704056756619857454856189367030971511940846987475427546331230020403838916944729265387647944541076202852253831256213059489284791549976367183469177082643300652968624489836839653246436857057388316881268270421947646260118287781551499205770102278854660374540336293525214491876729027007546633516835132873708427186729755365609757242144861879845922266649505181916983456754267244181441571619190026972222988918511962757380731580744331526231489984315190116550215680623908446562136485252569646525100015250318443249535503285169103708786133533348798826758569629040848294598217806024783772972699074503880942278819500098447614820687489529706476343538713009701883462266003255447259563295913704668510721080220837298054867024215102309051582467887083541082590525840484017479457304684267363843514662679490380920340672673103268520376118957031160293604238204355915241685883532310141411340480576223523214484242115359443197693318887467304049466103162737147086527589472591254016398627568210240237541163347186032280651847339344238024732221951245638608135262875859984140723563905320588143561739157968239889957895600585770099584873582108098771779394429863967535393116550919963639278394268396036370482609811391149607029763547367031127589244019900760815632091790823422659639461220967183066946772980089218339194117670926629982105891288236736851092479304288850396347775407751875606124499616866448449793408171198913061474203943409290857369072387369460665663084138122553728320501065811438185639317686611490799420835253608928870617947035838832122438736213950393911531499531359183500266295990020709063646795601957814605450050477337671414920490070298692501221163440065458587228718557569833235411681111643460845811827115005624167920124378259985072228343022195686394738639260590353309581172986227873708989806768187806749754320099609462460113126927478501592476847942606426587211727614093514000280989948088954438085760400479101573766777801075294792037159169762026822556049766248530102704620914714688713402446454708856552133878995887635053765927988642938136520377968413122}
30027  300394696054973647793738209488873997807601253340225958428273794995706499940461538923768: {990429,1170429,1470637,1650605,1980726,2100910,2521092,2941078,3001300,3601560,3687909,3841664,4051755,4201540,4321872,4862106,5041848,5672079,6002200,6507613,6752475,7202640,7682816,7765597,8102970,8643168,8708757,9245589,9296590,9603357,9723564,10826029,11093710,11155908,12083149,12175534,12792493,13312452,13532469,14067357,15110105,15302917,15492669,17094309,17393620,17933422,18132126,18274990,19372894,20448406,20872344,21570157,21861310,21929988,22255385,22607182,23481387,23481429,24189189,24746134,25250109,26083837,26205142,26233572,26706462,27369357,29074213,29298533,29767318,30348868,30814510,31421589,32819437,34057509,34362973,34667284,34704185,34708573,35351620,36977412,37725337,38258308,39133085,39313149,40017785,40536357,40632718,41283502,41534590,41645022,41786105,42226997,42302638,42421944,42524740,43153557,44141878,45027653,45270473,46287069,46884910,46893412,46959702,47645677,47724687,47850909,48021342,48952013,49841508,50143326,50452989,51029688,51838557,52050488,52365785,53049669,53245085,53506774,54086829,56261892,56503509,57119189,57311758,57408399,57636185,58046740,58144534,58226829,58556799,58621069,58749053,59258264,59258902,59603757,60432340,60807309,61619693,62110078,62838942,63138838,63254269,63842878,63894102,63896757,64292014,64617773,66391385,66540533,66665547,67141174,67833069,69163422,69574217,69656088,69710475,69791638,69864388,70022197,70197049,72097269,72102853,72393413,72423435,72486253,72498605,72518808,73266733,74357840,74383133,74548157,74578084,74988357,75606958,76685757,76850105,77251664,77533557,78363099,78637573,79669662,80805817,81583659,81749629,81873940,82607757,82970933,83063620,83075734,83652570,83793785,84048089,84128693,84776293,86075429,86190877,86218375,86315109,86590904,86819757,86908122,86998326,87228253,87256985,87265558,87750617,88121885,89045533,89229408,89678197,89840854,90007349,90198340,90859198,90902413,91298235,92220126,92356629,94015515,94110917,94697709,95198757,95503534,95699589,95748964,95797229,96751085,96822293,97367469,97384784,97414767,98248728,99204886,99413535,99676344,99702340,99864789,...,321098656980989050839110022004726682910132030838650953346190684804337058596182424269971903281978198279298620006128950161515722090172804903426424654018280558366103185126736794688553413286527726261553780792771475054714407256800517160516061998061569081499975790284595481224411816908543070864088490445021199091247021098552169838400467216860751907890621502215737110003835638940997752498612381042025495034736080290136226282527991251137156526847205814130257828701623564848610038422975737499677057123477747872266385316647503499788071716818617281392877708338909652024814838653541246032826736729324857042204412360145385693461405818567218365193735673445696793763628280197604688865889667465589143362175713881471945617135635878112801334052086801299049050709224555569224709347460522564666602774941505081497101241106812697750624262644878865763278593946615700923528827887621092144825156213891932333429144929182289363269125184907144880496145302913298366016800131248778245090966060469372956323619318227398723386158200495637643297804011838655504629968370498172777108146612541709027013729963576559517571659007437690720701585957707352051889546851447094109262540503749428763891230979476064915458391618807515335831787910374721160031832199243330539061146915457624454001439936154447272702305950885145426730888756643842928558569404935146314041886152784960245024763093975779532023226923419062020592258788070931971089237571919919070322073420416015096009562953720230250967071697957478129171020837574289079170835134666888637588269771223060599069740873296747014923629782801294081244448497998565843515724986783482848231421259546047748653053655558639342829549404613889478607928763662206344426845789339897524389579751887441866142450055658873164466719342134625855866320542215370502385234236399823077910666067107641564594206305236590047110638145883566277947780819404648552797519526497143249666998253235804180922155230594859213890528205847083148877563476265661320987783416858775628250851490535343513572600304618466159731004205723640732128722111820783863576572948488595108125273147077726394402760214995286611247111683615389206681256790324302522115868611932695005063785071344956772934673946918118251929545082852770780358712804133940961767675333696541684302270957315893957061370076150149696149874402162838461430791820629822565927963761670279303583616883855357204811378967143076452445850182622735015321106583447141459859067000028614713331421175135376565816222763760482982652724335876377552996103022950778686574113272312392465776726597559490687077274409531546598514033614031101993117802607639727581559481978021909524442317541102776509149753922734947100841768237049454442087189664780077832028744307685915022230779686362729868076845473117485752627719274872782320606701925083937170304173970555556085134929786182284284050546457267911270481213141319496845030605758375417093898081471916811614304278380746884319589233927187324964550775203765623964950979452936734755259479869655285586082475321902405632921469390177431672327248808655153418281990561810504440287821737815093540511319950275252699310562640780094633048414635863217292819768883399974257772875475185131400866272162357428785040458334483377767944136071097371116497289347234976472785174825323520935862669843204727878854469787650022875477664874303254927753655563179200300023198240137854443561272441897326709037175659459048611755821413418229250147671422231031234294559714515308069514552825193399004883170889344943870557002766081620331255947082300536322653463577373701830625311623885788760726026219185957026401045765271994019235571380511009009654902780564178435546740440406357306533872862528825298465212117010720864335284821726363173039164796539978331200956074199154744105720629791384208886881024597941352315360356311745020779048420977771009016357037098332926868457912202894313789976211085345857980882215342608736952359834936843400878655149377310373162148157669091644795951303089674826379945458917591402594054555723914717086724410544645321050546691383866029851141223448137686235133989459191831450774600420159470133827508791176506389944973158836932355105276638718956433275594521663111627813409186749425299672674690112256798369592211305915113936286053608581054190998494626207183830592480751598717157278458976529917236199131252880413393305926920553758248183658104320925590867297249297038775250399443985031063595470193402936721908175075716006507122380735105448038751831745160098187880843077836354749853117521667465191268717740672508436251880186567389977608342514533293529592107958890885529964371759479341810563484710152281710124631480149414193690169690391217752388715271913909639880817591421140271000421484922133431657128640600718652360650166701612942188055738754643040233834074649372795154056931372072033070103669682063284828200818493831452580648891982964407204780566952619683}
30028  301328385213038677937703354484012068233044884686967889581065859894853959664952735168371: {510187,780338,1320572,1560572,2219186,2578538,2640968,2971089,3022627,3151365,3201547,3361456,3751625,3781638,4014506,4411617,4451971,4501950,4731626,4802080,4917212,5251925,5402340,5698867,5762496,6302310,6482808,6521906,6722464,7119571,7293159,7502750,7562772,8005171,9003300,9241987,9603520,9735338,10651171,10803960,11515538,11524224,11611676,12154455,12327452,12804476,12964752,13292138,13630387,13944885,14502667,14585346,14874544,16640565,16733862,17627971,17749936,18043292,18146587,18263301,18756476,18837067,19968678,20558227,20656892,21742025,22792412,23297107,23525426,23978947,24149227,24176168,25678507,25977386,26090430,26900133,27026066,27198189,27412485,27829792,29059341,29239984,29467946,29560171,30398971,30672609,31308516,31308572,32252252,32791965,32894982,33666812,33910773,34978096,35608616,36492476,36715027,37119201,37786538,37936085,39179587,39307713,39350358,40059693,40324171,41895452,42278107,42440467,43089187,43286186,43334105,44189525,44313266,44650977,45410012,45523302,45544177,45994171,46221765,47822885,48397171,48716347,49303216,49769138,50108906,51850981,52000926,52050307,52417532,52839427,53027430,53155925,54048476,54255307,55466118,55526696,55977907,56200106,56562592,56758027,57387462,57538076,58157707,58312867,58556306,58616765,58932787,60949077,61687373,61716092,61925253,62168467,62301885,62467533,62612936,63247538,63453957,63632916,63787110,63801212,64028456,64582706,64764571,65063110,65827507,65885833,66212817,66455344,66584587,66735787,66857768,67270652,67490707,67595206,68039584,68243827,69118076,69900338,70043971,70327365,70340118,70439553,70732892,70790971,71089267,71223986,71833747,72032013,72115772,72558425,73760971,74072830,74498971,74523026,74762262,74852138,75015856,75214989,75338012,75540425,75767041,75969571,76544532,77140867,77635772,78075732,79471676,80098346,80260161,80338171,81076412,81348187,81404138,81730226,82067467,82707626,83033138,83442689,83785256,84357067,84392838,84983186,85068787,85192136,85195676,85211686,85967637,87052027,87070110,87216801,87330485,87747814,88178971,88221746,88880971,88887396,88888353,89301307,89581171,89835626,90444092,90648510,90802226,92086987,92217896,92785966,92874784,92947300,93165117,93222605,93469027,93744571,94258413,94708257,95315957,95764317,95841153,96129692,96275413,96438021,96564580,96691744,96756547,97843171,98316001,98790187,98806826,98925187,99194971,99984476,...,428131542641318734452146696006302243880176041118201271128254246405782744794909899026629204375970931039064826674838600215354296120230406537901899538691040744488137580168982392918071217715370301682071707723695300072952543009067356214021415997415425441999967720379460641632549089211390761152117987260028265454996028131402893117867289622481002543854162002954316146671780851921330336664816508056033993379648107053514968376703988334849542035796274418840343771602164753131480051230634316666236076164636997163021847088863337999717428955758156375190503611118546202699753118204721661377102315639099809389605883146860514257948541091422957820258314231260929058351504373596806251821186223287452191149567618508629260822847514504150401778736115735065398734278966074092299612463280696752888803699922006775329468321475750263667499016859838487684371458595487601231371770516828122859766874951855909777905526572243052484358833579876193173994860403884397821355733508331704326787954747292497275098159090969864964514877600660850191063738682451540672839957827330897036144195483388945369351639951435412690095545343250254294268781276943136069186062468596125479016720671665905018521641305968086553944522158410020447775717213832961546709109598991107385414862553943499272001919914872596363603074601180193902307851675525123904744759206580195085389181537046613660033017458634372709364302564558749360789678384094575961452316762559892093762764560554686794679417271626973667956095597276637505561361116765718772227780179555851516784359694964080798759654497728996019898173043735058774992597997331421124687633315711310464308561679394730331537404874078185790439399206151852638143905018216275125902461052453196699186106335849922488189933407545164219288959122846167807821760722953827336513645648533097437214221422810188752792275073648786729480850861178088370597041092539531403730026035329524332889331004314405574562873640793145618520704274462777531836751301687548427983711222478367504334468654047124684763467072824621546308005607631520976171629482427711818102097264651460144167030862770301859203680286660382148329482244820518942241675720432403362821158149243593340085046761793275697246231929224157669239393443803694373811617072178587949023567111595388912403027943087858609415160101533532928199832536217117948574389094173096754570618348893705738111489178473809606415171956190768603261133576830313353761475444596188613145422666704819617775228233513835421088297018347310643536965781168503403994804030601038248765484363083189954368968796745987582769699212708728798018711485374802657490403476852970108745975970695879365923090054803702012199671896979929467789024316065939256116252886373437109371659076914553362974372915150306490769127297489981003503625699830376427475602566778582893738898627407408113513239714909712378734061943023881693974950855092662460040807677833889458530775295889082152405704507662512426118978569583099952734366938354165286601305937248979673679306492873714114776633762536540843895292520236575563102998411540204557709320749080672587050428983753458054015093267033670265747416854373459510731219514484289723759691844533299010363833966913508534488362883143238380053944445977837023925514761463161488663052462979968630380233100431361247816893124272970505139293050200030500636886499071006570338207417572267066697597653517139258081696589196435612049567545945398149007761884557639000196895229641374979059412952687077426019403766924532006510894519126591827409337021442160441674596109734048430204618103164935774167082165181051680968034958914609368534727687029325358980761840681345346206537040752237914062320587208476408711830483371767064620282822680961152447046428968484230718886395386637774934608098932206325474294173055178945182508032797255136420480475082326694372064561303694678688476049464443902491277216270525751719968281447127810641176287123478315936479779915791201171540199169747164216197543558788859727935070786233101839927278556788536792072740965219622782299214059527094734062255178488039801521631264183581646845319278922441934366133893545960178436678388235341853259964211782576473473702184958608577700792695550815503751212248999233732896899586816342397826122948407886818581714738144774738921331326168276245107456641002131622876371278635373222981598841670507217857741235894071677664244877472427900787823062999062718367000532591980041418127293591203915629210900100954675342829840980140597385002442326880130917174457437115139666470823362223286921691623654230011248335840248756519970144456686044391372789477278521180706619162345972455747417979613536375613499508640199218924920226253854957003184953695885212853174423455228187028000561979896177908876171520800958203147533555602150589584074318339524053645112099532497060205409241829429377426804892909417713104267757991775270107531855977285876273040755936826244}
30029  302264959564782256711905768497316559817337740151508341191223337042190056144075599359830: {30029,1170507,1650715,1950715,1980858,2310847,2340858,2941274,3301210,3328779,3867807,3961452,4201820,5042184,5672457,5882156,6002600,6021759,6146515,6752925,7097439,7203120,7375818,7683328,8103510,8403080,8643744,9453465,9566491,9724212,9782859,10083696,11254125,11344158,11725699,12004400,13015226,13504950,14405280,14514595,14603007,14781619,15365632,15409315,15531194,15861007,16005595,16205940,17273307,17286336,17417514,18491178,18593180,19206714,19443391,19447128,19938207,21154147,21652058,21878019,22187420,22311816,22554115,23388607,23445595,24166298,24351068,25100793,25584986,25821115,26624904,26993059,27064938,28134714,28490515,29953017,30220210,30605834,30985338,31157539,31925707,32385679,33237787,34188618,34625539,34787240,35288139,35621251,35866844,36264252,36549980,38745788,38966079,39135645,39135715,40315315,40539099,40638079,40896812,41744688,42083515,43140314,43722620,43859976,44201919,44510770,45030667,45214364,45615595,45684991,46028539,46962774,46962858,47194879,48378378,48585859,49342473,49492268,49609087,50340907,50500218,50596411,52167674,52369315,52410284,52467144,53214499,53412924,54377359,54738714,54786319,54836287,56024899,56679807,56762515,57852379,58148426,58500547,58597066,59025537,59405467,59534636,60697736,61240099,61629020,62843178,63355459,64929279,65273791,65521915,65638874,65869327,66469899,66544987,67560595,68115018,68284953,68549011,68725946,69334568,69408370,69417146,69430699,70589899,70703240,71922595,72010219,73312099,73954824,74368831,74543119,74653707,74847427,75038491,75163359,75450674,75642979,75924799,76366459,76516616,77145115,77759419,78001389,78266170,78602467,78626298,79541145,79751515,80035570,80690659,81072714,81265436,82192987,82567004,83069180,83199177,83290044,83572210,84088315,84134347,84300159,84453994,84605276,84843888,85049480,85783507,86081193,86307114,86397595,87088387,87276559,87834459,87907339,88283756,88416115,90055306,90144715,90540946,90620827,90781819,92574138,92947939,93550459,93769820,93786824,93919404,94172515,94871307,95291354,95449374,95484799,95680665,95701818,96042684,96874059,97044715,97594665,97836139,97904026,98074219,99339595,99424819,99683016,...,642197313961978101678220044009453365820264061677301906692381369608674117192364848539943806563956396558597240012257900323031444180345609806852849308036561116732206370253473589377106826573055452523107561585542950109428814513601034321032123996123138162999951580569190962448823633817086141728176980890042398182494042197104339676800934433721503815781243004431474220007671277881995504997224762084050990069472160580272452565055982502274313053694411628260515657403247129697220076845951474999354114246955495744532770633295006999576143433637234562785755416677819304049629677307082492065653473458649714084408824720290771386922811637134436730387471346891393587527256560395209377731779334931178286724351427762943891234271271756225602668104173602598098101418449111138449418694921045129333205549883010162994202482213625395501248525289757731526557187893231401847057655775242184289650312427783864666858289858364578726538250369814289760992290605826596732033600262497556490181932120938745912647238636454797446772316400991275286595608023677311009259936740996345554216293225083418054027459927153119035143318014875381441403171915414704103779093702894188218525081007498857527782461958952129830916783237615030671663575820749442320063664398486661078122293830915248908002879872308894545404611901770290853461777513287685857117138809870292628083772305569920490049526187951559064046453846838124041184517576141863942178475143839838140644146840832030192019125907440460501934143395914956258342041675148578158341670269333777275176539542446121198139481746593494029847259565602588162488896995997131687031449973566965696462842519092095497306107311117278685659098809227778957215857527324412688853691578679795048779159503774883732284900111317746328933438684269251711732641084430741004770468472799646155821332134215283129188412610473180094221276291767132555895561638809297105595039052994286499333996506471608361844310461189718427781056411694166297755126952531322641975566833717551256501702981070687027145200609236932319462008411447281464257444223641567727153145896977190216250546294155452788805520429990573222494223367230778413362513580648605044231737223865390010127570142689913545869347893836236503859090165705541560717425608267881923535350667393083368604541914631787914122740152300299392299748804325676922861583641259645131855927523340558607167233767710714409622757934286152904891700365245470030642213166894282919718134000057229426662842350270753131632445527520965965305448671752755105992206045901557373148226544624784931553453195118981374154548819063093197028067228062203986235605215279455163118963956043819048884635082205553018299507845469894201683536474098908884174379329560155664057488615371830044461559372725459736153690946234971505255438549745564641213403850167874340608347941111112170269859572364568568101092914535822540962426282638993690061211516750834187796162943833623228608556761493768639178467854374649929101550407531247929901958905873469510518959739310571172164950643804811265842938780354863344654497617310306836563981123621008880575643475630187081022639900550505398621125281560189266096829271726434585639537766799948515545750950370262801732544324714857570080916668966755535888272142194742232994578694469952945570349650647041871725339686409455757708939575300045750955329748606509855507311126358400600046396480275708887122544883794653418074351318918097223511642826836458500295342844462062468589119429030616139029105650386798009766341778689887741114005532163240662511894164601072645306927154747403661250623247771577521452052438371914052802091530543988038471142761022018019309805561128356871093480880812714613067745725057650596930424234021441728670569643452726346078329593079956662401912148398309488211441259582768417773762049195882704630720712623490041558096841955542018032714074196665853736915824405788627579952422170691715961764430685217473904719669873686801757310298754620746324296315338183289591902606179349652759890917835182805188109111447829434173448821089290642101093382767732059702282446896275372470267978918383662901549200840318940267655017582353012779889946317673864710210553277437912866551189043326223255626818373498850599345349380224513596739184422611830227872572107217162108381996989252414367661184961503197434314556917953059834472398262505760826786611853841107516496367316208641851181734594498594077550500798887970062127190940386805873443816350151432013014244761470210896077503663490320196375761686155672709499706235043334930382537435481345016872503760373134779955216685029066587059184215917781771059928743518958683621126969420304563420249262960298828387380339380782435504777430543827819279761635182842280542000842969844266863314257281201437304721300333403225884376111477509286080467668149298745590308113862744144066140207339364126569656401636987662905161297783965928814409561133905239366}
30030  303204427973764217828420515406032750541992068909247865430932397508921704178451473997009: {510221,570209,1020374,1229549,1409201,1560676,2127089,2485601,2641144,2971287,3082481,3121144,3261389,3380621,3511287,4411911,4438372,4452269,4511729,4690061,4868321,4951815,4987121,5157076,5252275,5281936,5343329,5758541,5877101,5942178,6045254,6291809,6302730,6403094,6722912,6765281,7179149,7352695,7503250,7563276,8005709,8029012,8064689,8241581,8823234,8903942,9003900,9124961,9301421,9463252,9604160,9834424,10300001,10503850,10651889,10804680,10886321,11063727,11397734,11524992,11530349,11764301,11881229,12155265,12407009,12604620,12757169,12965616,13043812,13107041,13281869,13444928,13514861,13631309,13689521,14239142,14586318,14735969,14852081,15005500,15125544,16010342,16127201,16416461,16994381,17016237,17283041,17456141,17686829,17859761,18006600,18205409,18483974,18550769,18838349,18895841,19010801,19207040,19470676,19522839,20044001,20257425,20273249,21074609,21302342,21303281,21474701,21607920,21760241,22273709,23014241,23031076,23048448,23223352,23241475,23296791,23639789,23980589,24037361,24207629,24308910,24491249,24654904,25001261,25171121,25567181,25608952,25736801,25929504,26126271,26414561,26584276,27034829,27260774,27710381,27734275,27736767,27889770,28103921,28216289,28810071,28945901,29005334,29170692,29282189,29394221,29618189,29749088,30438835,30456929,30959309,31739501,31906481,32073389,32478087,32629229,33239729,33281130,33467724,33572321,33793889,34236641,34402541,34955021,35065421,35230961,35255942,35499872,35616941,36086584,36222689,36249447,36293174,36526602,36717581,36772529,37376429,37512952,37540961,37674134,37869809,38088881,38377479,39018509,39182321,39346061,39564269,39937356,40054769,40326989,40597407,40707761,40816481,40979501,41116454,41142449,41313784,41468129,41685089,42010289,42202071,42281069,42335201,42497549,42605741,43484050,43631969,44224781,44601521,44833555,45031601,45330315,45407501,45514829,45584824,45687475,45908751,45997409,46050989,46211681,46478007,46479341,46594214,47050852,47957894,48298454,48352336,48432235,48719789,48772961,49038701,49251149,49410401,49569581,50840429,51104609,51121015,51282927,51357014,51954772,52054001,52180860,52580321,52895729,53110519,53630561,53800266,54052132,54259169,54311501,54396378,54653275,54729869,54824970,55356461,55512929,55659584,56033969,56138081,56346209,56517955,56814029,57695921,57851309,58118682,58213601,58317041,58368749,58479968,58935892,58937009,58988621,59120342,59401229,59607341,60667747,60687329,60797942,61302881,61345218,61405361,61559021,61763789,61865335,62172941,62224049,62530529,62617032,62617144,62938721,63295469,63448241,63600941,63702701,64504504,64617101,64710471,64769249,64819949,65225261,65512855,65583930,65731181,65789964,65882801,66286769,66766155,66952039,67333624,67495601,67821546,68900081,68944711,69350189,69899441,69956192,70049069,70098929,70444161,70444287,71144141,71217232,71838989,72136301,72567567,72878321,72903259,72984952,73430054,73618541,74238402,74418295,74553569,74995469,75093581,75573076,75681581,75750327,75872170,75975149,76024049,76707809,77036275,77049101,77487329,78251511,78359174,78361841,78615426,78700716,78749681,79330481,79620449,79958381,80054861,80119386,80199521,80344109,80392289,80648342,81065969,81546209,81977741,82063471,82108071,82265069,82982129,83077601,83697389,83790904,84363341,84556214,84880934,85075121,85122509,85406669,85643249,86068589,86178374,86257421,86540429,86572372,86668210,87105581,87222639,87528689,87895599,88185569,88232429,88372961,88379050,88513421,88626532,88653809,88887629,88934369,89214641,89301954,89308001,89634509,90286349,90820024,91046604,91088354,91307501,91862861,91988342,92140109,92443530,92647649,93246221,93522029,93613901,93797549,94264767,94485089,94713869,94988141,95307761,95444621,95645770,95672561,95854769,95991341,96127841,96491489,96794342,96809261,97217249,97432694,97624589,98166701,98458311,98606432,98614087,98932721,98977709,99202529,99516941,99538276,99741281,...,963295970942967152517330066014180048730396092515952860038572054413011175788547272809915709845934594837895860018386850484547166270518414710279273962054841675098309555380210384065660239859583178784661342378314425164143221770401551481548185994184707244499927370853786443673235450725629212592265471335063597273741063295656509515201401650582255723671864506647211330011506916822993257495837143126076485104208240870408678847583973753411469580541617442390773486104870694545830115268927212499031171370433243616799155949942510499364215150455851844178633125016728956074444515960623738098480210187974571126613237080436157080384217455701655095581207020337090381290884840592814066597669002396767430086527141644415836851406907634338404002156260403897147152127673666707674128042381567693999808324824515244491303723320438093251872787934636597289835781839847102770586483662863276434475468641675797000287434787546868089807375554721434641488435908739895098050400393746334735272898181408118868970857954682196170158474601486912929893412035515966513889905111494518331324439837625127081041189890729678552714977022313072162104757873122056155668640554341282327787621511248286291673692938428194746375174856422546007495363731124163480095496597729991617183440746372873362004319808463341818106917852655436280192666269931528785675708214805438942125658458354880735074289281927338596069680770257186061776776364212795913267712715759757210966220261248045288028688861160690752901215093872434387513062512722867237512505404000665912764809313669181797209222619890241044770889348403882243733345493995697530547174960350448544694263778638143245959160966675918028488648213841668435823786290986619033280537368019692573168739255662325598427350166976619493400158026403877567598961626646111507155702709199469233731998201322924693782618915709770141331914437650698833843342458213945658392558579491429749000994759707412542766465691784577641671584617541249446632690428796983962963350250576326884752554471606030540717800913855398479193012617170922196386166335462351590729718845465785324375819441233179183208280644985859833741335050846167620043770370972907566347605835798085015191355214034870318804021840754354755788635248558312341076138412401822885303026001089625052906812871947681871184110228450449088449623206488515384292375461889467697783891285010837910750850651566071614434136901429229357337550547868205045963319750341424379577201000085844139994263525406129697448668291281448947958173007629132658988309068852336059722339816937177397330179792678472061231823228594639795542100842093305979353407822919182744678445934065728573326952623308329527449261768204841302525304711148363326261568994340233496086232923057745066692339059088189604230536419352457257883157824618346961820105775251811510912521911666668255404789358546852852151639371803733811443639423958490535091817275126251281694244415750434842912835142240652958767701781561974893652325611296871894852938358810204265778439608965856758247425965707216898764408170532295016981746425965460254845971685431513320863465213445280621533959850825758097931687922340283899145243907589651878459306650199922773318626425555394202598816487072286355121375003450133303832408213292113349491868041704929418355524475970562807588009529614183636563409362950068626432994622909764783260966689537600900069594720413563330683817325691980127111526978377145835267464240254687750443014266693093702883679143545924208543658475580197014649512668034831611671008298244860993767841246901608967960390732121105491875934871657366282178078657557871079203137295815982057706714141533027028964708341692535306640221321219071919601618587586475895395636351032162593005854465179089519117494389619934993602868222597464232317161889374152626660643073793824056946081068935235062337145262933313027049071111294998780605373736608682941369928633256037573942646646027826210857079504810530202635965448131931119486444473007274934387853909269024479139836376752774207782163667171744151260173231633935963151640074151598089553423670344413058705401968377575494352323801260478410401482526373529519169834919476510797065315829916156869299826783564989334883440227560248275899018024070336770395108776633917745341808858160825743162572995483878621551491777442254796151471835376929589751708597393758641240179917780761661274744550974312962776772601891747891116325751198331955093190786410580208810165724525227148019521367142205316344116255495235480294563642529233509064249559352565002395573806153222017525308755640559702169932825027543599880588776323876672656589893115278438025431690454130456845130373894440448242581070509071173653257166145815741728919642452774263420813001264454766400294971385921802155957081950500104838826564167216263929120701502223948118385462170794116216099210311009046189854484602455481494357741946675948893221614341700857859049}
30031  304146799330615124914678023786875592859626260423954272864971619578644871926877408299899: {60058,1530561,1950845,2311001,2341014,2731001,3301430,3901430,3961716,4621694,4681716,5547965,5882548,6446345,6602420,6657558,7735614,7922904,8403640,8605121,8913267,9067881,9454095,9604641,10036265,10084368,10226249,11254875,11305853,11344914,11764312,11829065,12005200,12043518,12203081,12293030,13105193,13234851,13355913,13505850,14194878,14406240,14751636,15366656,15755775,15801041,16207020,16304765,16520633,16806160,17096601,17287488,18756875,18906930,19132982,19448424,19565718,20102489,20167392,20320433,21358713,21573041,21879477,22407833,22508250,22688316,22978553,23451398,24008800,24015513,24047441,24338345,26030452,27009900,27641081,27725961,28788845,28810560,29029190,29206014,29563238,30168713,30731264,30818630,31062388,31575761,31722014,31953513,32011190,32411880,32823833,33230345,33895961,34109633,34546614,34572672,34835028,36149561,36463365,36982356,37186360,37358873,37730381,38077889,38413428,38886782,38894256,39281021,39876414,39886721,40891161,41834655,42015641,42308294,43304116,43508001,43756038,44374840,44623632,45108230,45688049,46777214,46891190,48332596,48702136,49202921,49333133,49921695,50201586,51169972,51573401,51642230,52077833,52796561,52883913,53218061,53249808,53986118,53991353,54129876,54439761,54789903,54790001,56269428,56441441,56511201,56981030,58628921,58813565,58916921,59906034,60440420,61211668,61674681,61970676,62315078,63851414,63861833,64771358,64806521,64943465,65226075,66475574,67565165,67724801,68377236,69251078,69574480,69891321,70206461,70576278,71242502,71733688,71936841,72447681,72528504,73099960,73276529,73317041,73669865,74189033,74373809,76658321,76976441,77035521,77141753,77491576,77932158,78271290,78271430,78498521,78894593,79467521,80630630,80700399,80816621,81078198,81276158,81594567,81793624,82237455,82717121,83489376,84167030,84542153,86202401,86280628,87178023,87282401,87445240,87719952,88403838,88680513,88681853,89021540,89541581,90061334,90428728,91196913,91231190,91336601,91369982,91730681,91796141,92017827,92057078,93925548,93925716,94208633,94389758,94466345,94584833,96721661,96756756,97171718,98375895,98684946,98984536,99218174,99431501,...,1284394627923956203356440088018906731640528123354603813384762739217348234384729697079887613127912793117194480024515800646062888360691219613705698616073122233464412740506947178754213653146110905046215123171085900218857629027202068642064247992246276325999903161138381924897647267634172283456353961780084796364988084394208679353601868867443007631562486008862948440015342555763991009994449524168101980138944321160544905130111965004548626107388823256521031314806494259394440153691902949998708228493910991489065541266590013999152286867274469125571510833355638608099259354614164984131306946917299428168817649440581542773845623274268873460774942693782787175054513120790418755463558669862356573448702855525887782468542543512451205336208347205196196202836898222276898837389842090258666411099766020325988404964427250791002497050579515463053114375786462803694115311550484368579300624855567729333716579716729157453076500739628579521984581211653193464067200524995112980363864241877491825294477272909594893544632801982550573191216047354622018519873481992691108432586450166836108054919854306238070286636029750762882806343830829408207558187405788376437050162014997715055564923917904259661833566475230061343327151641498884640127328796973322156244587661830497816005759744617789090809223803540581706923555026575371714234277619740585256167544611139840980099052375903118128092907693676248082369035152283727884356950287679676281288293681664060384038251814880921003868286791829912516684083350297156316683340538667554550353079084892242396278963493186988059694519131205176324977793991994263374062899947133931392925685038184190994612214622234557371318197618455557914431715054648825377707383157359590097558319007549767464569800222635492657866877368538503423465282168861482009540936945599292311642664268430566258376825220946360188442552583534265111791123277618594211190078105988572998667993012943216723688620922379436855562112823388332595510253905062645283951133667435102513003405962141374054290401218473864638924016822894562928514888447283135454306291793954380432501092588310905577611040859981146444988446734461556826725027161297210088463474447730780020255140285379827091738695787672473007718180331411083121434851216535763847070701334786166737209083829263575828245480304600598784599497608651353845723167282519290263711855046681117214334467535421428819245515868572305809783400730490940061284426333788565839436268000114458853325684700541506263264891055041931930610897343505510211984412091803114746296453089249569863106906390237962748309097638126186394056134456124407972471210430558910326237927912087638097769270164411106036599015690939788403367072948197817768348758659120311328114977230743660088923118745450919472307381892469943010510877099491129282426807700335748681216695882222224340539719144729137136202185829071645081924852565277987380122423033501668375592325887667246457217113522987537278356935708749299858203100815062495859803917811746939021037919478621142344329901287609622531685877560709726689308995234620613673127962247242017761151286951260374162045279801101010797242250563120378532193658543452869171279075533599897031091501900740525603465088649429715140161833337933511071776544284389484465989157388939905891140699301294083743450679372818911515417879150600091501910659497213019711014622252716801200092792960551417774245089767589306836148702637836194447023285653672917000590685688924124937178238858061232278058211300773596019532683557379775482228011064326481325023788329202145290613854309494807322501246495543155042904104876743828105604183061087976076942285522044036038619611122256713742186961761625429226135491450115301193860848468042883457341139286905452692156659186159913324803824296796618976422882519165536835547524098391765409261441425246980083116193683911084036065428148393331707473831648811577255159904844341383431923528861370434947809439339747373603514620597509241492648592630676366579183805212358699305519781835670365610376218222895658868346897642178581284202186765535464119404564893792550744940535957836767325803098401680637880535310035164706025559779892635347729420421106554875825733102378086652446511253636746997701198690698760449027193478368845223660455745144214434324216763993978504828735322369923006394868629113835906119668944796525011521653573223707682215032992734632417283702363469188997188155101001597775940124254381880773611746887632700302864026028489522940421792155007326980640392751523372311345418999412470086669860765074870962690033745007520746269559910433370058133174118368431835563542119857487037917367242253938840609126840498525920597656774760678761564871009554861087655638559523270365684561084001685939688533726628514562402874609442600666806451768752222955018572160935336298597491180616227725488288132280414678728253139312803273975325810322595567931857628819122267810478732}
30032  305092082553118467085706514654129707197781569614278577634093559901146360283897891679877: {90087,570247,1020442,1140418,1289527,2040748,2187007,2459098,2818402,3121352,3511521,4254178,4512031,4952145,4971202,5282288,5403031,5852145,5936767,5942574,6164962,6242288,6522778,6761242,6824887,6932541,7022574,7353185,8065231,8253025,8823822,8876744,8904538,9023458,9380122,9736642,9903630,9974242,9986337,10293773,10314152,10359367,10504550,10563872,10686658,11517082,11603421,11754202,11884356,12090508,12466231,12583618,12605460,12806188,12816367,13445824,13530562,13690447,14358298,14705390,15006500,15126552,16011418,16058024,16129378,16483162,17017371,17646468,17807884,18007800,18065277,18249922,18439545,18552031,18602842,18897127,18926504,19208320,19668848,20258775,20600002,21007700,21292317,21303778,21609360,21772642,22127454,22795468,23049984,23060698,23528602,23698231,23762458,24039007,24310530,24814018,24889687,25059607,25209240,25514338,25931232,26087624,26214082,26563738,26889856,27029722,27262618,27379042,28360395,28478284,28699473,29172636,29284207,29348577,29471938,29704162,30011000,30251088,32020684,32254402,32464807,32538065,32832922,33297487,33762375,33988762,34032474,34566082,34912282,35177097,35373658,35719522,36013200,36410818,36775087,36967948,37101538,37433887,37676698,37791682,37927231,38021602,38414080,38827985,38941352,39045678,40088002,40514850,40546498,40873687,41525287,41688007,42149218,42338167,42604684,42606562,42614369,42949402,43215840,43520482,43543785,43809021,44344857,44547418,46028482,46054231,46062152,46096896,46227945,46446704,46482950,46593582,47279578,47583021,47961178,48016785,48074722,48415258,48617820,48776407,48982498,49309808,49573087,50002522,50342242,51134362,51217904,51473602,51636031,51819921,51859008,52252542,52829122,53168552,54069658,54130145,54315367,54521548,54786031,55420762,55468550,55473534,55779540,56207842,56432578,57620142,57891802,58010668,58330173,58341384,58372927,58564378,58788442,58992847,59236378,59457031,59498176,59814621,60415745,60877670,60913858,61918618,62228527,62766977,62994247,63300031,63462441,63479002,63605527,63812962,63962465,64146778,64824631,64956174,65258458,65634057,66479458,66562260,66935448,67144642,67587778,67662345,67805129,68473282,68805082,68905087,69910042,70104031,70130842,70165821,70336785,70461922,70511884,70999744,71233882,71569421,72173168,72445378,72498894,72586348,73053204,73081231,73435162,73545058,74752858,75000967,75025904,75081922,75302379,75348268,75550525,75739618,76029631,76177762,76514585,76754958,77463345,78037018,78364642,78692122,79125137,79128538,79874712,80109538,80398231,80653978,80979177,81120031,81194814,81415522,81480113,81632962,81959002,82232908,82284898,82627568,82936258,82988287,83370178,84020578,84404142,84562138,84670402,84995098,85128847,85211482,85471545,86158397,86611469,86968100,87263938,88239031,88449562,88660447,88941031,89203042,89667110,89859051,90063202,90339631,90660630,90815002,91029658,91169648,91374950,91717997,91817502,91994818,92101978,92423362,92956014,92958682,93188428,93472617,94101704,94766767,95777121,95915788,96596908,96704672,96864470,97157037,97439578,97545922,98077402,98309527,98502298,98820802,98985247,99139162,99713361,...,1926591941885934305034660132028360097460792185031905720077144108826022351577094545619831419691869189675791720036773700969094332541036829420558547924109683350196619110760420768131320479719166357569322684756628850328286443540803102963096371988369414488999854741707572887346470901451258425184530942670127194547482126591313019030402803301164511447343729013294422660023013833645986514991674286252152970208416481740817357695167947506822939161083234884781546972209741389091660230537854424998062342740866487233598311899885020998728430300911703688357266250033457912148889031921247476196960420375949142253226474160872314160768434911403310191162414040674180762581769681185628133195338004793534860173054283288831673702813815268676808004312520807794294304255347333415348256084763135387999616649649030488982607446640876186503745575869273194579671563679694205541172967325726552868950937283351594000574869575093736179614751109442869282976871817479790196100800787492669470545796362816237737941715909364392340316949202973825859786824071031933027779810222989036662648879675250254162082379781459357105429954044626144324209515746244112311337281108682564655575243022496572583347385876856389492750349712845092014990727462248326960190993195459983234366881492745746724008639616926683636213835705310872560385332539863057571351416429610877884251316916709761470148578563854677192139361540514372123553552728425591826535425431519514421932440522496090576057377722321381505802430187744868775026125025445734475025010808001331825529618627338363594418445239780482089541778696807764487466690987991395061094349920700897089388527557276286491918321933351836056977296427683336871647572581973238066561074736039385146337478511324651196854700333953238986800316052807755135197923253292223014311405418398938467463996402645849387565237831419540282663828875301397667686684916427891316785117158982859498001989519414825085532931383569155283343169235082498893265380857593967925926700501152653769505108943212061081435601827710796958386025234341844392772332670924703181459437690931570648751638882466358366416561289971719667482670101692335240087540741945815132695211671596170030382710428069740637608043681508709511577270497116624682152276824803645770606052002179250105813625743895363742368220456900898176899246412977030768584750923778935395567782570021675821501701303132143228868273802858458714675101095736410091926639500682848759154402000171688279988527050812259394897336582562897895916346015258265317976618137704672119444679633874354794660359585356944122463646457189279591084201684186611958706815645838365489356891868131457146653905246616659054898523536409682605050609422296726652523137988680466992172465846115490133384678118176379208461072838704914515766315649236693923640211550503623021825043823333336510809578717093705704303278743607467622887278847916981070183634550252502563388488831500869685825670284481305917535403563123949787304651222593743789705876717620408531556879217931713516494851931414433797528816341064590033963492851930920509691943370863026641726930426890561243067919701651516195863375844680567798290487815179303756918613300399845546637252851110788405197632974144572710242750006900266607664816426584226698983736083409858836711048951941125615176019059228367273126818725900137252865989245819529566521933379075201800139189440827126661367634651383960254223053956754291670534928480509375500886028533386187405767358287091848417087316951160394029299025336069663223342016596489721987535682493803217935920781464242210983751869743314732564356157315115742158406274591631964115413428283066054057929416683385070613280442642438143839203237175172951790791272702064325186011708930358179038234988779239869987205736445194928464634323778748305253321286147587648113892162137870470124674290525866626054098142222589997561210747473217365882739857266512075147885293292055652421714159009621060405271930896263862238972888946014549868775707818538048958279672753505548415564327334343488302520346463267871926303280148303196179106847340688826117410803936755150988704647602520956820802965052747059038339669838953021594130631659832313738599653567129978669766880455120496551798036048140673540790217553267835490683617716321651486325145990967757243102983554884509592302943670753859179503417194787517282480359835561523322549489101948625925553545203783495782232651502396663910186381572821160417620331449050454296039042734284410632688232510990470960589127285058467018128499118705130004791147612306444035050617511281119404339865650055087199761177552647753345313179786230556876050863380908260913690260747788880896485162141018142347306514332291631483457839284905548526841626002528909532800589942771843604311914163901000209677653128334432527858241403004447896236770924341588232432198420622018092379708969204910962988715483893351897786443228683401715718098}
30033  306040286586293102630632184954850646037805323411929490267659801980018483034913708673330: {120116,1530663,1710627,2550935,2731183,3061122,3631331,3688647,3901690,4227603,4622002,4682028,5462002,6381267,6602860,7456803,7767151,7802860,7923432,8913861,9024883,9243388,9247443,9363432,9784167,10141863,10533861,11095930,11765096,12085567,12892690,13204840,13235733,13315116,13356807,13535187,14050771,14070183,14421823,14604963,14855445,14961363,15113135,15471228,15756825,15845808,16007735,16029987,16560691,16807280,17210242,17275623,17631303,17659987,17826534,18135762,18758125,18875427,18908190,19209282,20072530,20168736,20295843,20452498,21537447,22058085,22259855,22509750,22611706,22689828,22826671,23528624,23658130,23757487,24010400,24017127,24087036,24194067,24406162,24586060,24724743,26210386,26259625,26469702,26711826,27011700,27374883,27904263,28389756,28419703,28494335,28812480,29503272,30733312,30900003,31511550,31602082,31955667,32414040,32609530,32658963,33041266,33191181,33242231,33612320,34073683,34193202,34574976,34591047,35292903,35597855,35643687,36465795,37221027,37513750,37813860,38122531,38265964,38271507,38896848,39131436,39321123,39845607,39935347,40025855,40058863,40204978,40304383,40334784,40544583,40640866,40893927,41013871,41068563,42717426,43146082,43758954,44207907,44556243,44815666,45016500,45279551,45376632,45957106,46209935,46522483,46902796,48017600,48031026,48094882,48381603,48676690,48961847,49249383,50983143,51048711,51849123,52060904,52368423,53060487,53255855,53579283,53994967,54019800,54616227,55137031,55282162,55372003,55451922,55652307,56515047,56687523,57032403,57130643,57577690,57621120,58058380,58412028,58568517,59126476,60132003,60337426,60772275,60819747,60950383,61248287,61462528,61637260,62124776,63151522,63223827,63444028,63907026,63909843,64022380,64424103,64823760,65280723,65647666,66460690,66821127,67791922,68151935,68219266,69042723,69093228,69145344,69588191,69670056,69724425,69890373,70919367,71941767,72019847,72112083,72299122,72513335,72622887,72926730,73473747,73964712,74372720,74717746,75003783,75460762,75513363,75653111,76155778,76349207,76701543,76826856,77210403,77773564,77788512,78378813,78562042,79243683,79752828,79773442,81104487,81782322,82338991,82987571,83131143,83202825,83210301,83669310,84031282,84064943,84311763,84616588,84648867,85676947,86092787,86430213,86608232,86837703,87016002,87100031,87447391,87512076,87846567,88039127,88139855,88182663,88749680,88854567,89247264,90025427,90216460,90732935,90793991,90920851,91316505,91370787,91376098,91929431,92448547,92877927,93554428,93562967,93782380,93909463,94129823,94185335,94591231,95218503,95719443,96220167,96665192,97404272,97434261,97887687,98405842,98666266,99719187,99843390,99863831,...,2889887912828901457551990198042540146191188277547858580115716163239033527365641818429747129537803784513687580055160551453641498811555244130837821886164525025294928666140631152196980719578749536353984027134943275492429665311204654444644557982554121733499782112561359331019706352176887637776796414005190791821223189886969528545604204951746767171015593519941633990034520750468979772487511429378229455312624722611226036542751921260234408741624852327172320458314612083637490345806781637497093514111299730850397467849827531498092645451367555532535899375050186868223333547881871214295440630563923713379839711241308471241152652367104965286743621061011271143872654521778442199793007007190302290259581424933247510554220722903015212006468781211691441456383021000123022384127144703081999424974473545733473911169961314279755618363803909791869507345519541308311759450988589829303426405925027391000862304362640604269422126664164303924465307726219685294151201181239004205818694544224356606912573864046588510475423804460738789680236106547899541669715334483554993973319512875381243123569672189035658144931066939216486314273619366168467005921663023846983362864533744858875021078815284584239125524569267638022486091193372490440286489793189974851550322239118620086012959425390025454320753557966308840577998809794586357027124644416316826376975375064642205222867845782015788209042310771558185330329092638387739803138147279271632898660783744135864086066583482072258703645281617303162539187538168601712537516212001997738294427941007545391627667859670723134312668045211646731200036481987092591641524881051345634082791335914429737877482900027754085465944641525005307471358872959857099841612104059077719506217766986976795282050500929858480200474079211632702796884879938334521467108127598407701195994603968774081347856747129310423995743312952096501530027374641836975177675738474289247002984279122237628299397075353732925014753852623748339898071286390951888890050751728980654257663414818091622153402741566195437579037851512766589158499006387054772189156536397355973127458323699537549624841934957579501224005152538502860131311112918722699042817507394255045574065642104610956412065522263064267365905745674937023228415237205468655909078003268875158720438615843045613552330685351347265348869619465546152877126385668403093351673855032513732252551954698214843302410704287688072012651643604615137889959251024273138731603000257532419982790576218389092346004873844346843874519022887397976964927206557008179167019450811532191990539378035416183695469685783919386626302526279917938060223468757548234035337802197185719980857869924988582347785304614523907575914133445089978784706983020700488258698769173235200077017177264568812691609258057371773649473473855040885460317325755434532737565735000004766214368075640558556454918115411201434330918271875471605275451825378753845082733247251304528738505426721958876303105344685924680956976833890615684558815076430612797335318826897570274742277897121650696293224511596885050945239277896380764537915056294539962590395640335841864601879552477274293795063767020851697435731722768955635377919950599768319955879276666182607796449461216859065364125010350399911497224639876340048475604125114788255066573427911688422764028588842550909690228088850205879298983868729294349782900068612802700208784161240689992051451977075940381334580935131437505802392720764063251329042800079281108651037430637772625630975426740591043948538004104494835013024894734582981303523740704826903881172196363316475627804614972098846534235972673613237609411887447946173120142424599081086894125025077605919920663963657215758804855762759427686186909053096487779017563395537268557352483168859804980808604667792392696951485668122457879981929221381472170838243206805705187011435788799939081147213333884996341816121209826048824109785899768112721827939938083478632571238514431590607907896344395793358459333419021824803163561727807073437419509130258322623346491001515232453780519694901807889454920222454794268660271011033239176116205905132726483056971403781435231204447579120588557509504758429532391195947489748470607899480350694968004650320682680744827697054072211010311185326329901753236025426574482477229487718986451635864654475332326764388454415506130788769255125792181275923720539753342284983824233652922938888330317805675243673348977253594995865279572359231740626430497173575681444058564101426615949032348766485706440883690927587700527192748678057695007186721418459666052575926266921679106509798475082630799641766328971630017969769679345835314076295071362391370535391121683321344727743211527213520959771498437447225186758927358322790262439003793364299200884914157765406467871245851500314516479692501648791787362104506671844355156386512382348648297630933027138569563453807366444483073225840027846679664843025102573577147}
30034  306991420402475951558011549661815493306694976077381382126130976000596517265813894894988: {150145,180174,690253,1140494,2040884,2280836,2579054,3202189,3381073,4081496,4374014,4591683,4918196,4987789,5636804,5852535,5877889,6242704,6933003,7023042,8193003,8253575,8360593,8508356,8714113,9024062,9243853,9420289,9753575,9904290,9942404,10294459,10564576,10806062,11554235,11704290,11873534,11882833,11885148,12329924,12484576,13045556,13522484,13633153,13649774,13807789,13865082,14045148,14706370,14854093,16130462,16506050,16643895,17647644,17753488,17809076,18046916,18760244,19013389,19339035,19473284,19807260,19948484,19972674,20562433,20587546,20628304,20718734,21009100,21127744,21373316,23034164,23206842,23508404,23768712,24154189,24181016,24932462,25167236,25210920,25612376,25632734,25683793,25815363,25853389,26531053,26739801,26891648,27061124,27203643,27380894,28220173,28362285,28716596,28813923,29398273,29410780,30013000,30108795,30253104,30678747,30732575,32022836,32116048,32258756,32966324,33576973,33764625,33917559,34034742,35070289,35292936,35487195,35615768,36015600,36130554,36499844,36609243,36879090,36887533,37104062,37205684,37794254,37853008,38416640,39315579,39337696,39351553,39704553,40067739,40517550,40822189,41200004,42015400,42449389,42584634,42607556,42611713,43218720,43545284,44254908,44715373,45521233,45553291,45590936,46099968,46121396,47057204,47267325,47396462,47403123,47524916,47832455,48078014,48621060,48914295,49561899,49628036,49779374,50119214,50418480,51028676,51289803,51428653,51862464,52175248,52428164,52692973,53127476,53779712,54059444,54359179,54525236,54758084,56146093,56270625,56720790,56956568,57398946,58170193,58325389,58345272,58568414,58628495,58697154,58943876,59408324,59718913,60022000,60307467,60502176,60961299,61414189,62335213,62947789,63711889,64041368,64076139,64508804,64626433,64719123,64929614,65076130,65638431,65665844,65841793,66594974,66750289,66901453,67223499,67524750,67977524,68064948,68935659,69132164,69824564,70354194,70747316,71439044,72026400,72046539,72142323,72572975,72821636,73015035,73550174,73908095,73935896,74203076,74867774,75104593,75353396,75583364,75782203,75854462,76043204,76828160,77046575,77157889,77304013,77655970,77882704,78091356,79305035,79342189,80027975,80066689,80176004,81029700,81092996,81654253,81747374,82085713,82923243,83050574,83089933,83177883,83376014,83459387,84298436,84582043,84676334,85209368,85213124,85228738,85898804,86364673,86366535,86431680,87040964,87071533,87087570,87212689,87618042,88689714,88760653,89094836,89321389,89547451,90506139,90718189,91969153,92056964,92108462,92124304,92193792,92455890,92893408,92965900,93187164,93628033,94559156,94727283,95166042,95335031,95550289,95860539,95922356,96033570,96149444,96294679,96830516,96914689,97216955,97235640,97552814,97964996,98471499,98619616,98947789,99146174,99621889,99691035,...,3853183883771868610069320264056720194921584370063811440154288217652044703154189091239662839383738379351583440073547401938188665082073658841117095848219366700393238221520841536262640959438332715138645369513257700656572887081606205926192743976738828977999709483415145774692941802902516850369061885340254389094964253182626038060805606602329022894687458026588845320046027667291973029983348572504305940416832963481634715390335895013645878322166469769563093944419482778183320461075708849996124685481732974467196623799770041997456860601823407376714532500066915824297778063842494952393920840751898284506452948321744628321536869822806620382324828081348361525163539362371256266390676009587069720346108566577663347405627630537353616008625041615588588608510694666830696512169526270775999233299298060977965214893281752373007491151738546389159343127359388411082345934651453105737901874566703188001149739150187472359229502218885738565953743634959580392201601574985338941091592725632475475883431818728784680633898405947651719573648142063866055559620445978073325297759350500508324164759562918714210859908089252288648419031492488224622674562217365129311150486044993145166694771753712778985500699425690184029981454924496653920381986390919966468733762985491493448017279233853367272427671410621745120770665079726115142702832859221755768502633833419522940297157127709354384278723081028744247107105456851183653070850863039028843864881044992181152114755444642763011604860375489737550052250050891468950050021616002663651059237254676727188836890479560964179083557393615528974933381975982790122188699841401794178777055114552572983836643866703672113954592855366673743295145163946476133122149472078770292674957022649302393709400667906477973600632105615510270395846506584446028622810836797876934927992805291698775130475662839080565327657750602795335373369832855782633570234317965718996003979038829650171065862767138310566686338470164997786530761715187935851853401002305307539010217886424122162871203655421593916772050468683688785544665341849406362918875381863141297503277764932716732833122579943439334965340203384670480175081483891630265390423343192340060765420856139481275216087363017419023154540994233249364304553649607291541212104004358500211627251487790727484736440913801796353798492825954061537169501847557870791135565140043351643003402606264286457736547605716917429350202191472820183853279001365697518308804000343376559977054101624518789794673165125795791832692030516530635953236275409344238889359267748709589320719170713888244927292914378559182168403368373223917413631291676730978713783736262914293307810493233318109797047072819365210101218844593453305046275977360933984344931692230980266769356236352758416922145677409829031532631298473387847280423101007246043650087646666673021619157434187411408606557487214935245774557695833962140367269100505005126776977663001739371651340568962611835070807126247899574609302445187487579411753435240817063113758435863427032989703862828867595057632682129180067926985703861841019383886741726053283453860853781122486135839403303032391726751689361135596580975630358607513837226600799691093274505702221576810395265948289145420485500013800533215329632853168453397967472166819717673422097903882251230352038118456734546253637451800274505731978491639059133043866758150403600278378881654253322735269302767920508446107913508583341069856961018751001772057066772374811534716574183696834174633902320788058598050672139326446684033192979443975071364987606435871841562928484421967503739486629465128712314630231484316812549183263928230826856566132108115858833366770141226560885284876287678406474350345903581582545404128650372023417860716358076469977558479739974411472890389856929268647557496610506642572295175296227784324275740940249348581051733252108196284445179995122421494946434731765479714533024150295770586584111304843428318019242120810543861792527724477945777892029099737551415637076097916559345507011096831128654668686976605040692926535743852606560296606392358213694681377652234821607873510301977409295205041913641605930105494118076679339677906043188261263319664627477199307134259957339533760910240993103596072096281347081580435106535670981367235432643302972650291981935514486205967109769019184605887341507718359006834389575034564960719671123046645098978203897251851107090407566991564465303004793327820372763145642320835240662898100908592078085468568821265376465021980941921178254570116934036256998237410260009582295224612888070101235022562238808679731300110174399522355105295506690626359572461113752101726761816521827380521495577761792970324282036284694613028664583262966915678569811097053683252005057819065601179885543687208623828327802000419355306256668865055716482806008895792473541848683176464864396841244036184759417938409821925977430967786703795572886457366803431436196}
30035  307945493001404937746791689613160061360310241317084148899029100244158627095284657454252: {240232,270261,1710741,2551105,2851045,3061326,3421254,3571309,3631573,3868581,4291573,5101870,5462366,6122244,6147745,6561021,7046005,7262662,7377294,7803380,8455206,9244004,9364056,10534563,10635445,10924004,12428005,12762534,13205720,13522333,13536093,14784577,14856435,14913606,15412405,15534302,15605720,15846864,15864181,16209093,16306945,16903105,17556435,17810301,17827722,18049766,18486776,18494886,18726864,19568334,19998661,20283726,20474661,20797623,21067722,21158389,22059555,22191860,22261345,22410829,22558645,23450305,23530192,24171134,24195693,24341605,24759075,24935605,25785380,26261375,26409680,26471466,26630232,26713614,26716645,27070374,28101542,28140366,28792705,28843646,29209926,29385505,29710890,29922726,29959011,30048877,30226270,30881319,30942456,31078101,31163797,31459045,31513650,31691616,31932109,32015470,32059974,33121382,33614560,33826405,33900493,34420484,34551246,34810263,35212309,35262606,35319974,35653068,35895745,36146029,36271524,36520021,36763475,37398693,37516250,37750854,37816380,38418564,38449101,39286273,39892069,40028545,40145060,40323445,40337472,40591686,40834117,40904996,41071341,41207905,43074894,44116170,44519710,45019500,45223412,45379656,45624805,45653342,46507105,47057248,47316260,47514974,48020800,48034254,48174072,48388134,48812324,49172120,49339729,49449486,49619053,49836997,50606557,51052113,51239317,51367489,51500005,51580309,52420772,52519250,52939404,53259445,53423652,54023400,54195831,54431605,54749766,55318635,55656093,55808526,56036197,56691381,56779512,56806453,56839406,56988670,57624960,57651745,57707869,57864001,58821505,59006544,59406145,60776325,61466624,61800006,62035045,62679133,63023100,63204164,63785845,63876951,63911334,64693909,64828080,65219060,65317926,65535205,66082532,66382362,66409345,66484462,67224640,67574305,68147366,68156545,68386404,68447605,68562757,69149952,69182094,69592849,70585806,70604077,71094693,71195710,71287374,72117021,72931590,73679845,74260405,74442054,74558197,74669061,75027500,75178821,75627720,76245062,76531928,76543014,76668589,76986733,77215777,77775037,77793696,78262872,78618229,78642246,79691214,79870694,80051710,80117726,80409956,80608766,80636005,80669568,81089166,81281732,81787854,82027742,82082305,82137126,82209469,84553477,84746989,84971905,85081185,85434852,85800709,86098419,86098573,86292164,86415205,87280705,87517908,87852621,88045731,88415814,88434145,88693693,89112486,89298805,89553553,89631332,90031453,90033000,90230881,90559102,90753264,91027045,91348813,91808449,91914212,92419870,92583733,92753845,93044966,93805592,94191745,94221229,94479205,95054005,95412709,95503981,96035200,96062052,96189764,96734593,96763206,97353380,97394421,97614195,97923694,98498766,99833029,99892461,...,5779775825657802915103980396085080292382376555095717160231432326478067054731283636859494259075607569027375160110321102907282997623110488261675643772329050050589857332281262304393961439157499072707968054269886550984859330622409308889289115965108243466999564225122718662039412704353775275553592828010381583642446379773939057091208409903493534342031187039883267980069041500937959544975022858756458910625249445222452073085503842520468817483249704654344640916629224167274980691613563274994187028222599461700794935699655062996185290902735111065071798750100373736446667095763742428590881261127847426759679422482616942482305304734209930573487242122022542287745309043556884399586014014380604580519162849866495021108441445806030424012937562423382882912766042000246044768254289406163998849948947091466947822339922628559511236727607819583739014691039082616623518901977179658606852811850054782001724608725281208538844253328328607848930615452439370588302402362478008411637389088448713213825147728093177020950847608921477579360472213095799083339430668967109987946639025750762486247139344378071316289862133878432972628547238732336934011843326047693966725729067489717750042157630569168478251049138535276044972182386744980880572979586379949703100644478237240172025918850780050908641507115932617681155997619589172714054249288832633652753950750129284410445735691564031576418084621543116370660658185276775479606276294558543265797321567488271728172133166964144517407290563234606325078375076337203425075032424003995476588855882015090783255335719341446268625336090423293462400072963974185183283049762102691268165582671828859475754965800055508170931889283050010614942717745919714199683224208118155439012435533973953590564101001859716960400948158423265405593769759876669042934216255196815402391989207937548162695713494258620847991486625904193003060054749283673950355351476948578494005968558244475256598794150707465850029507705247496679796142572781903777780101503457961308515326829636183244306805483132390875158075703025533178316998012774109544378313072794711946254916647399075099249683869915159002448010305077005720262622225837445398085635014788510091148131284209221912824131044526128534731811491349874046456830474410937311818156006537750317440877231686091227104661370702694530697739238931092305754252771336806186703347710065027464505103909396429686604821408575376144025303287209230275779918502048546277463206000515064839965581152436778184692009747688693687749038045774795953929854413114016358334038901623064383981078756070832367390939371567838773252605052559835876120446937515096468070675604394371439961715739849977164695570609229047815151828266890179957569413966041400976517397538346470400154034354529137625383218516114743547298946947710081770920634651510869065475131470000009532428736151281117112909836230822402868661836543750943210550903650757507690165466494502609057477010853443917752606210689371849361913953667781231369117630152861225594670637653795140549484555794243301392586449023193770101890478555792761529075830112589079925180791280671683729203759104954548587590127534041703394871463445537911270755839901199536639911758553332365215592898922433718130728250020700799822994449279752680096951208250229576510133146855823376845528057177685101819380456177700411758597967737458588699565800137225605400417568322481379984102903954151880762669161870262875011604785441528126502658085600158562217302074861275545251261950853481182087897076008208989670026049789469165962607047481409653807762344392726632951255609229944197693068471945347226475218823774895892346240284849198162173788250050155211839841327927314431517609711525518855372373818106192975558035126791074537114704966337719609961617209335584785393902971336244915759963858442762944341676486413611410374022871577599878162294426667769992683632242419652097648219571799536225443655879876166957265142477028863181215815792688791586716918666838043649606327123455614146874839018260516645246692982003030464907561039389803615778909840444909588537320542022066478352232411810265452966113942807562870462408895158241177115019009516859064782391894979496941215798960701389936009300641365361489655394108144422020622370652659803506472050853148964954458975437972903271729308950664653528776908831012261577538510251584362551847441079506684569967648467305845877776660635611350487346697954507189991730559144718463481252860994347151362888117128202853231898064697532971412881767381855175401054385497356115390014373442836919332105151852533843358213019596950165261599283532657943260035939539358691670628152590142724782741070782243366642689455486423054427041919542996874894450373517854716645580524878007586728598401769828315530812935742491703000629032959385003297583574724209013343688710312773024764697296595261866054277139126907614732888966146451680055693359329686050205147154294}
30036  308902513410302181451922084857086019732255098324901976820028533102361683259883093773465: {210203,300290,360348,690299,1380506,1409483,1589099,2280988,2665283,3262043,4081768,4561672,4591989,4691003,4869299,5131881,5158108,5166299,5937563,6404378,6762146,6944099,7652805,8162992,8193549,8243243,8420099,8748028,9183366,9303299,9754225,9836392,9975578,10478099,10888523,10893993,11064299,11065941,11273608,11555005,11705070,11755778,12485408,12682809,13284563,13655005,13692299,13808723,13866006,14046084,14738963,15029243,16175929,16386006,16507150,16593299,16721186,17016712,17428226,17459699,17632763,17863403,18036299,18048124,18487706,18840578,19014683,19143801,19187099,19507150,19761299,19808580,19884808,20588918,20792843,21129152,21479099,21612124,21650483,22370409,23108470,23301453,23408580,23747068,23765666,23770296,24155843,24212603,24659848,24969152,25006403,25176299,25742099,26091112,26420003,26741583,27044968,27074649,27266306,27299548,27615578,27730164,27739825,27742329,28090296,28390643,29288243,29352501,29400299,29412740,29568323,29708186,30425589,31467563,31601583,31913099,32080043,32231725,32260924,33012100,33287790,34409699,35238299,35295288,35403803,35506976,35618152,36093832,36256701,36725243,36890099,37520488,37548803,38026778,38678070,38946568,39190523,39354299,39614520,39707199,39896968,39945348,40070421,40335443,40605561,40879403,40988099,41124866,41151083,41175092,41256608,41437468,42018200,42152313,42210549,42255488,42452363,42506483,42746632,42776963,43025605,43265469,43425299,43814889,43964699,44395643,44566335,44884089,45339405,45417083,45685403,46068328,46221443,46413684,47016808,47270475,47537424,48023205,48089961,48308378,48362032,49420883,49580099,49682073,49739243,49864924,50181325,50334472,50421840,51131245,51224752,51265468,51367586,51630726,51706778,51826869,52749299,52893909,52979961,53062106,53479602,53783296,53799299,54122248,54407286,54741563,54761788,55524803,56274375,56440346,56514323,56529265,56626281,56724570,57085883,57433192,57449099,57627846,57863723,58226099,58381283,58796546,58821560,59145325,59774699,60026000,60032099,60217590,60506208,60887529,61015405,61357494,61465150,61572299,62186363,62339699,63003323,63105299,63461963,63614699,63716483,64045672,64232096,64517512,64612341,64783283,64986083,65525965,65897099,65932648,66048683,66174255,66779565,66965437,67153946,67529250,67835118,68069484,68480013,70064363,70140578,70263803,70585872,70811603,70974390,71231536,71272461,71557043,72031200,72051381,72261108,72582201,72999688,73218486,73758180,73775066,73782563,73979603,74174229,74208124,74411368,75110099,75588508,75698243,75706016,76187483,76833280,77650403,78631158,78675392,78703106,78778875,78912443,79005205,79348043,79409106,80135478,80217299,80361923,81035100,81523825,81564323,81644378,82079893,82124649,82283363,82400008,82603165,83096099,83239283,83712789,83716043,84030800,84898778,85169268,85215112,85223426,85259109,85483005,85567763,85946099,86437440,87090568,87125099,87266243,88205363,88392803,88509816,88533299,88673723,88767299,89234699,89430746,90306683,91042466,91106582,91181872,92022299,92199936,92242792,92700009,93772883,93784375,93956483,94114408,94185803,94534650,94792924,94806246,95049832,95466299,95664910,95867001,96013163,96149699,96156028,97242120,97375283,97828590,97872923,97976889,98053643,98324483,98633821,99000323,99123798,99256072,99558748,99573543,99726693,...,8669663738486704372655970594127620438573564832643575740347148489717100582096925455289241388613411353541062740165481654360924496434665732392513465658493575075884785998421893456590942158736248609061952081404829826477288995933613963333933673947662365200499346337684077993059119056530662913330389242015572375463669569660908585636812614855240301513046780559824901970103562251406939317462534288134688365937874167833678109628255763780703226224874556981516961374943836250912471037420344912491280542333899192551192403549482594494277936354102666597607698125150560604670000643645613642886321891691771140139519133723925413723457957101314895860230863183033813431617963565335326599379021021570906870778744274799742531662662168709045636019406343635074324369149063000369067152381434109245998274923420637200421733509883942839266855091411729375608522036558623924935278352965769487910279217775082173002586913087921812808266379992492911773395923178659055882453603543717012617456083632673069820737721592139765531426271413382216369040708319643698625009146003450664981919958538626143729370709016567106974434793200817649458942820858098505401017764989071540950088593601234576625063236445853752717376573707802914067458273580117471320859469379569924554650966717355860258038878276170076362962260673898926521733996429383759071081373933248950479130926125193926615668603537346047364627126932314674555990987277915163219409414441837814898695982351232407592258199750446216776110935844851909487617562614505805137612548636005993214883283823022636174883003579012169402938004135634940193600109445961277774924574643154036902248374007743289213632448700083262256397833924575015922414076618879571299524836312177233158518653300960930385846151502789575440601422237634898108390654639815003564401324382795223103587983811906322244043570241387931271987229938856289504590082123925510925533027215422867741008952837366712884898191226061198775044261557871245019694213859172855666670152255186941962772990244454274866460208224698586312737113554538299767475497019161164316567469609192067919382374971098612648874525804872738503672015457615508580393933338756168097128452522182765136722196926313832869236196566789192802097717237024811069685245711616405967727234009806625476161315847529136840656992056054041796046608858396638458631379157005209280055021565097541196757655864094644529907232112863064216037954930813845413669877753072819416194809000772597259948371728655167277038014621533040531623557068662193930894781619671024537501058352434596575971618134106248551086409057351758159878907578839753814180670406272644702106013406591557159942573609774965747043355913843571722727742400335269936354120949062101464776096307519705600231051531793706438074827774172115320948420421565122656380951977266303598212697205000014298643104226921675669364754346233604302992754815626414815826355476136261535248199741753913586215516280165876628909316034057774042870930501671847053676445229291838392005956480692710824226833691364952088879673534790655152835717833689142293613745168883619887771186921007525593805638657431822881385191301062555092307195168306866906133759851799304959867637829998547823389348383650577196092375031051199734491673919629020145426812375344364765199720283735065268292085766527652729070684266550617637896951606187883049348700205838408100626352483722069976154355931227821144003742805394312517407178162292189753987128400237843325953112291913317876892926280221773131845614012313484505039074684203748943910571222114480711643516589089949426883413844916296539602707918020839712828235662343838519360427273797243260682375075232817759761991890971647276414567288278283058560727159289463337052690186611805672057449506579414942425814003377178090854457004367373639945787664144416512514729620417115561034307366399817243441640001654989025448363629478146472329357699304338165483819814250435897713715543294771823723689033187380075378000257065474409490685183421220312258527390774967870039473004545697361341559084705423668364760667364382805980813033099717528348617715398179449170914211344305693613342737361765672528514275288597173587842469245411823698441052084904013950962048042234483091162216633030933555978989705259708076279723447431688463156959354907593963425996980293165363246518392366307765377376543827771161619260026854951472700958768816664990953417025731020046931760784987595838717077695221879291491520727044332175692304279847847097046299457119322651072782763101581578246034173085021560164255378998157727778800765037319529395425247892398925298986914890053909309038037505942228885214087174111606173365049964034183229634581640562879314495312341675560276782074968370787317011380092897602654742473296219403613737554500943549439077504946375362086313520015533065469159537147045944892892799081415708690361422099333449219677520083540038994529075307720731441}
30037  309862490683957442915876253596439551651997847180481452462395169004716826595573075499598: {450435,480464,540522,2070759,2851235,3421482,3571547,3991463,4291859,5071859,5102210,5702090,6122652,6447635,6842508,7142618,7263146,7737162,8583146,8606843,9606567,9864407,10143219,10203740,10924732,10935035,12205523,12244488,12295490,13122042,13775049,14092010,14181959,14525324,14754588,14889623,14963367,15606760,15804203,15980939,16523939,16910412,17399207,17557605,17633667,18488008,18728112,18859307,20799009,21069126,21270890,21377879,21577367,21848008,22079783,22560155,22829723,23664347,24579009,24760725,24856010,25081779,25525068,26023943,26142339,26411440,27015155,27044666,27072186,27731559,28260867,29260725,29569154,29683835,29712870,29827212,30824810,30883377,31067483,31068604,31165883,31211440,31582103,31693728,31728362,32418186,32613890,32830427,33584039,33806210,34078247,34124435,34662705,34909847,35112870,35620602,35648499,35655444,35870483,36099532,36765925,36973552,36989772,37164227,37403303,37453728,37737947,39136668,39997322,40064219,40309787,40326155,40398503,40567452,40899459,40949322,41139707,41265125,41423367,41595246,41614547,42135444,42316778,43650263,44042663,44119110,44383720,44522690,44562279,44821658,45117290,45447803,46148327,46900610,47060384,47356967,48342268,48391386,48683210,49518150,49871210,49931685,50254043,51468865,51570760,51796835,52384667,52522750,52819360,52942932,52976243,53260464,53427228,53433290,53544359,54140748,54773063,55144403,56039963,56203084,56280732,56452823,57040167,57410723,57585410,57687292,57691067,58017105,58419852,58640699,58726067,58771010,59421780,59845452,59918022,60097754,60452540,60522887,60958547,61687299,61762638,61884912,62156202,62327594,62331155,62918090,63027300,63335459,63383232,63864218,63874727,64030940,64081835,64119948,65109947,66242764,66744827,67134899,67229120,67652810,67800986,68452235,68840968,69102492,69620526,70424618,70525212,70608803,70639948,71306136,71791490,72100007,72292058,72462567,72543048,73040042,73106759,73291223,73526950,74075339,74563223,74797386,75032500,75501708,75632760,76204247,76837128,76898202,77051379,77446089,77560167,77780243,78572546,78910439,79593159,79704347,79784138,80057090,80219403,80290120,80646890,80674944,80712443,80832827,81183372,81610929,81668234,81809992,82142682,82350107,82415810,82541003,83168603,84660519,85086855,85688423,86149788,86219687,86441769,86849063,87459083,88194819,88232340,89039420,89300183,90039000,90326385,90446824,90759312,91249610,91306684,91749287,91875107,92036241,92197725,92760155,92973083,93014210,93922019,94114496,94485635,94604027,94632520,94717223,95029948,95419163,95826647,96041600,96068508,96348144,96776268,96901163,97624648,98344240,98679458,98898972,99238106,99673994,...,11559551651315605830207960792170160584764753110191434320462864652956134109462567273718988518151215138054750320220642205814565995246220976523351287544658100101179714664562524608787922878314998145415936108539773101969718661244818617778578231930216486933999128450245437324078825408707550551107185656020763167284892759547878114182416819806987068684062374079766535960138083001875919089950045717512917821250498890444904146171007685040937634966499409308689281833258448334549961383227126549988374056445198923401589871399310125992370581805470222130143597500200747472893334191527484857181762522255694853519358844965233884964610609468419861146974484244045084575490618087113768799172028028761209161038325699732990042216882891612060848025875124846765765825532084000492089536508578812327997699897894182933895644679845257119022473455215639167478029382078165233247037803954359317213705623700109564003449217450562417077688506656657215697861230904878741176604804724956016823274778176897426427650295456186354041901695217842955158720944426191598166678861337934219975893278051501524972494278688756142632579724267756865945257094477464673868023686652095387933451458134979435500084315261138336956502098277070552089944364773489961761145959172759899406201288956474480344051837701560101817283014231865235362311995239178345428108498577665267305507901500258568820891471383128063152836169243086232741321316370553550959212552589117086531594643134976543456344266333928289034814581126469212650156750152674406850150064848007990953177711764030181566510671438682892537250672180846586924800145927948370366566099524205382536331165343657718951509931600111016341863778566100021229885435491839428399366448416236310878024871067947907181128202003719433920801896316846530811187539519753338085868432510393630804783978415875096325391426988517241695982973251808386006120109498567347900710702953897156988011937116488950513197588301414931700059015410494993359592285145563807555560203006915922617030653659272366488613610966264781750316151406051066356633996025548219088756626145589423892509833294798150198499367739830318004896020610154011440525244451674890796171270029577020182296262568418443825648262089052257069463622982699748092913660948821874623636312013075500634881754463372182454209322741405389061395478477862184611508505542673612373406695420130054929010207818792859373209642817150752288050606574418460551559837004097092554926412001030129679931162304873556369384019495377387375498076091549591907859708826228032716668077803246128767962157512141664734781878743135677546505210105119671752240893875030192936141351208788742879923431479699954329391141218458095630303656533780359915138827932082801953034795076692940800308068709058275250766437032229487094597893895420163541841269303021738130950262940000019064857472302562234225819672461644805737323673087501886421101807301515015380330932989005218114954021706887835505212421378743698723827907335562462738235260305722451189341275307590281098969111588486602785172898046387540203780957111585523058151660225178159850361582561343367458407518209909097175180255068083406789742926891075822541511679802399073279823517106664730431185797844867436261456500041401599645988898559505360193902416500459153020266293711646753691056114355370203638760912355400823517195935474917177399131600274451210800835136644962759968205807908303761525338323740525750023209570883056253005316171200317124434604149722551090502523901706962364175794152016417979340052099578938331925214094962819307615524688785453265902511218459888395386136943890694452950437647549791784692480569698396324347576500100310423679682655854628863035219423051037710744747636212385951116070253582149074229409932675439219923234418671169570787805942672489831519927716885525888683352972827222820748045743155199756324588853335539985367264484839304195296439143599072450887311759752333914530284954057726362431631585377583173433837333676087299212654246911228293749678036521033290493385964006060929815122078779607231557819680889819177074641084044132956704464823620530905932227885615125740924817790316482354230038019033718129564783789958993882431597921402779872018601282730722979310788216288844041244741305319607012944101706297929908917950875945806543458617901329307057553817662024523155077020503168725103694882159013369139935296934611691755553321271222700974693395909014379983461118289436926962505721988694302725776234256405706463796129395065942825763534763710350802108770994712230780028746885673838664210303705067686716426039193900330523198567065315886520071879078717383341256305180285449565482141564486733285378910972846108854083839085993749788900747035709433291161049756015173457196803539656631061625871484983406001258065918770006595167149448418026687377420625546049529394593190523732108554278253815229465777932292903360111386718659372100410294308588}
30038  310825433904811817839582584374110788635718841432960628220994589398209436418652129280477: {420406,600580,720696,810783,1380598,2366761,2761012,2818966,3178198,4561976,4691317,5132223,5330566,6524086,7653315,8163536,8243797,8553135,9123344,9183978,9382006,9738598,10263762,10316216,10332598,10713927,10889257,10894719,11605743,11767477,11875126,12118261,12754675,12808756,12874719,12993961,13518517,13524292,13655915,13888198,15305610,16177007,16325984,16387098,16486486,16840198,17496056,17691637,18156655,18366732,18443235,18606598,19117007,19508450,19672784,19683063,19951156,20278777,20956198,21138015,21309097,21777046,21787986,21994537,22128598,22131882,22507861,22547216,23020537,23110010,23410140,23511556,24214261,24970816,25064761,25365618,26421817,26569126,27267637,27310010,27384598,27617446,27732012,28092168,29477926,29626357,30058486,31603689,31906335,32304757,32351858,32638261,32772012,33014300,33186598,33442372,33803257,34033424,34633237,34856452,34919398,35265526,35461417,35726806,35957461,36072598,36096248,36782761,36975412,37284015,37681156,38029366,38099497,38287602,38374198,38835755,39014300,39522598,39575317,39617160,39769616,40566999,40608279,41177836,41371177,41585686,41696761,42258304,42509461,42958198,43224248,43300966,44353731,44569305,44740818,45124415,45742261,46216940,46224697,46237215,46602906,46817160,47494136,47531332,47540592,47592543,48311686,48425206,48627279,48920835,49265077,49319696,49742761,49938304,50012806,50352598,50709315,51484198,52182224,52669305,52840006,53430903,53483166,54089936,54149298,54532612,54599096,54797737,55231156,55460328,55479650,55484658,55737337,56180592,56362297,56781286,58576486,58705002,58800598,58825480,59136646,59416372,59624437,59995983,60235847,60427835,60851178,61423983,61781557,62241961,62392869,62935126,63203166,63466537,63475167,63826198,64160086,64463450,64521848,64838677,64990777,66024200,66178665,66575580,66784035,67232487,67675935,68819398,70119337,70253855,70268917,70350915,70476598,70590576,70807606,71013952,71236304,71583743,72109115,72187664,72513402,72587079,73024815,73097257,73245397,73450486,73780198,74277225,74806815,75040976,75097606,75458857,75565675,76053556,76193077,77356140,77893136,78381046,78708598,78784125,79140971,79229040,79414398,79793936,79890696,80038675,80140842,80149935,80416057,80670886,81211122,81758806,81976198,82249732,82302166,82350184,82513216,82803455,82874936,83006761,84036400,84304626,84421098,84510976,84904726,85012966,85421567,85493264,85553926,86051210,86283157,86378115,86530938,86850598,87629778,87929398,88156515,88258837,88299935,88399417,88791286,89132670,89768178,89877033,90146631,90359977,90678810,90834166,91370806,91736351,92136656,92442886,92643957,92827368,92859961,93234303,93491391,93790625,93825877,94033616,94238761,94377135,94540950,95074848,95336617,95796327,95883817,96046410,96179922,96616756,96724064,97246777,98841766,99160198,99364146,99478486,99729848,...,17339327476973408745311941188255240877147129665287151480694296979434201164193850910578482777226822707082125480330963308721848992869331464785026931316987150151769571996843786913181884317472497218123904162809659652954577991867227926667867347895324730400998692675368155986118238113061325826660778484031144750927339139321817171273625229710480603026093561119649803940207124502813878634925068576269376731875748335667356219256511527561406452449749113963033922749887672501824942074840689824982561084667798385102384807098965188988555872708205333195215396250301121209340001287291227285772643783383542280279038267447850827446915914202629791720461726366067626863235927130670653198758042043141813741557488549599485063325324337418091272038812687270148648738298126000738134304762868218491996549846841274400843467019767885678533710182823458751217044073117247849870556705931538975820558435550164346005173826175843625616532759984985823546791846357318111764907207087434025234912167265346139641475443184279531062852542826764432738081416639287397250018292006901329963839917077252287458741418033134213948869586401635298917885641716197010802035529978143081900177187202469153250126472891707505434753147415605828134916547160234942641718938759139849109301933434711720516077756552340152725924521347797853043467992858767518142162747866497900958261852250387853231337207074692094729254253864629349111981974555830326438818828883675629797391964702464815184516399500892433552221871689703818975235125229011610275225097272011986429766567646045272349766007158024338805876008271269880387200218891922555549849149286308073804496748015486578427264897400166524512795667849150031844828153237759142599049672624354466317037306601921860771692303005579150881202844475269796216781309279630007128802648765590446207175967623812644488087140482775862543974459877712579009180164247851021851066054430845735482017905674733425769796382452122397550088523115742490039388427718345711333340304510373883925545980488908549732920416449397172625474227109076599534950994038322328633134939218384135838764749942197225297749051609745477007344030915231017160787866677512336194256905044365530273444393852627665738472393133578385604195434474049622139370491423232811935454468019613250952322631695058273681313984112108083592093217716793276917262758314010418560110043130195082393515311728189289059814464225726128432075909861627690827339755506145638832389618001545194519896743457310334554076029243066081063247114137324387861789563239342049075002116704869193151943236268212497102172818114703516319757815157679507628361340812545289404212026813183114319885147219549931494086711827687143445455484800670539872708241898124202929552192615039411200462103063587412876149655548344230641896840843130245312761903954532607196425394410000028597286208453843351338729508692467208605985509631252829631652710952272523070496399483507827172431032560331753257818632068115548085741861003343694107352890458583676784011912961385421648453667382729904177759347069581310305671435667378284587227490337767239775542373842015051187611277314863645762770382602125110184614390336613733812267519703598609919735275659997095646778696767301154392184750062102399468983347839258040290853624750688729530399440567470130536584171533055305458141368533101235275793903212375766098697400411676816201252704967444139952308711862455642288007485610788625034814356324584379507974256800475686651906224583826635753785852560443546263691228024626969010078149368407497887821142444228961423287033178179898853766827689832593079205415836041679425656471324687677038720854547594486521364750150465635519523983781943294552829134576556566117121454318578926674105380373223611344114899013158829884851628006754356181708914008734747279891575328288833025029459240834231122068614732799634486883280003309978050896727258956292944658715398608676330967639628500871795427431086589543647447378066374760150756000514130948818981370366842440624517054781549935740078946009091394722683118169410847336729521334728765611961626066199435056697235430796358898341828422688611387226685474723531345057028550577194347175684938490823647396882104169808027901924096084468966182324433266061867111957979410519416152559446894863376926313918709815187926851993960586330726493036784732615530754753087655542323238520053709902945401917537633329981906834051462040093863521569975191677434155390443758582983041454088664351384608559695694194092598914238645302145565526203163156492068346170043120328510757996315455557601530074639058790850495784797850597973829780107818618076075011884457770428174348223212346730099928068366459269163281125758628990624683351120553564149936741574634022760185795205309484946592438807227475109001887098878155009892750724172627040031066130938319074294091889785785598162831417380722844198666898439355040167080077989058150615441462882}
30039  311791352183041685468511563435945341608106893564764901580375885735974655061089224095192: {630609,750725,900870,960928,1081044,2070897,3451265,3991729,4141518,4228449,4767297,5072197,5612057,5702470,6842964,7143094,7982926,7995849,8583718,9026689,9786129,10143718,10204420,11404180,12245304,12895270,13685016,13775967,14073009,14285236,14424709,14526292,14607897,15309049,15395643,15474324,15498897,16010945,16760497,16905365,17166292,17213686,17663521,17812689,19213134,19728814,20286438,20407480,20832297,21078049,21849464,21870070,22958415,24411046,24488976,24580647,24590980,24729729,24938945,25260297,26094289,26244084,27550098,27909897,28184020,28363918,29050648,29262675,29389445,29509176,29779246,29926734,30755569,31213520,31434297,31584217,31608406,31961878,32665569,32681979,33047878,33192897,33197823,33248897,33820824,34665015,34722481,34798414,35115210,35217017,35267334,36976016,37456224,37718614,37821217,38048427,39853689,40965015,41076897,41267875,41426169,41536489,41557369,41598018,41802965,42138252,42392389,42541780,42755758,43154734,43570565,43696016,44159566,44216889,45087729,45120310,45659446,46219265,47101445,47328694,47664769,47774209,48527787,48767875,48971681,49158018,49521450,49712020,49779897,50163558,51050136,51374357,51472295,52047886,52284678,52379097,52822880,52898289,53590209,54030310,54089332,54108897,54144372,55463118,56456617,56521734,56629777,57044049,57431403,57561297,57771175,58521450,58547569,59138308,59283897,59367670,59414165,59425740,59654424,61260569,61649620,61766754,62134966,62137208,62331766,62378529,62422880,62687537,63164206,63279697,63387456,63456724,64437297,64836372,64951449,65227780,65660854,67111227,67168078,67612420,68156494,68165765,68248870,69038945,69325410,69819694,69904359,70225740,71241204,71296998,71310888,71740966,72034289,72056411,72199064,72467529,72515569,72637809,73531850,73947104,73979544,74270465,74328454,74806606,74850997,74907456,75019209,75475894,75528897,75668309,77226101,77226297,78273336,78315281,78915721,79260009,79994644,80128438,80224749,80619574,80652310,80797006,81134904,81223947,81798918,81898644,82279414,82530250,82846734,83190492,83219475,83226987,83229094,84270888,84633556,85171929,86398897,87117497,87263617,87300526,87864729,88056881,88057503,88085326,88200897,88238220,88704969,88767440,89045380,89081329,89124558,89643316,89714569,90234580,90895606,91276767,92296654,93581729,93801220,94120768,94148729,94402689,94713934,94804749,95066945,95739297,95833129,96240129,96684536,96695175,96782772,97366420,99036300,99742420,99846377,99863370,...,26008991215460113117967911782382861315720694497930727221041445469151301746290776365867724165840234060623188220496444963082773489303997197177540396975480725227654357995265680369772826476208745827185856244214489479431866987800841890001801021842987095601498039013052233979177357169591988739991167726046717126391008708982725756910437844565720904539140341679474705910310686754220817952387602864404065097813622503501034328884767291342109678674623670944550884124831508752737413112261034737473841627001697577653577210648447783482833809062307999792823094375451681814010001930936840928658965675075313420418557401171776241170373871303944687580692589549101440294853890696005979798137063064712720612336232824399227594987986506127136908058219030905222973107447189001107201457144302327737994824770261911601265200529651828517800565274235188126825566109675871774805835058897308463730837653325246519007760739263765438424799139977478735320187769535977167647360810631151037852368250898019209462213164776419296594278814240146649107122124958931095875027438010351994945759875615878431188112127049701320923304379602452948376828462574295516203053294967214622850265780803703729875189709337561258152129721123408742202374820740352413962578408138709773663952900152067580774116634828510229088886782021696779565201989288151277213244121799746851437392778375581779847005810612038142093881380796944023667972961833745489658228243325513444696087947053697222776774599251338650328332807534555728462852687843517415412837645908017979644649851469067908524649010737036508208814012406904820580800328337883833324773723929462110706745122023229867640897346100249786769193501773725047767242229856638713898574508936531699475555959902882791157538454508368726321804266712904694325171963919445010693203973148385669310763951435718966732130710724163793815961689816568868513770246371776532776599081646268603223026858512100138654694573678183596325132784673613735059082641577518567000010456765560825888318970733362824599380624674095758938211340663614899302426491057483492949702408827576203758147124913295837946623577414618215511016046372846525741181800016268504291385357566548295410166590778941498607708589700367578406293151711074433209055737134849217903181702029419876428483947542587410521970976168162125388139826575189915375894137471015627840165064695292623590272967592283933589721696338589192648113864792441536241009633259218458248584427002317791779845115185965501831114043864599121594870671205986581792684344859013073612503175057303789727914854402318745653259227172055274479636722736519261442542011218817934106318040219774671479827720829324897241130067741530715168183227201005809809062362847186304394328288922559116800693154595381119314224483322516345962845261264695367969142855931798910794638091615000042895929312680765027008094263038700812908978264446879244447479066428408784605744599225261740758646548840497629886727948102173322128612791505015541161029335687875515176017869442078132472680501074094856266639020604371965458507153501067426880841235506650859663313560763022576781416915972295468644155573903187665276921585504920600718401279555397914879602913489995643470168045150951731588277125093153599203475021758887060436280437126033094295599160851205195804876257299582958187212052799651852913690854818563649148046100617515224301879057451166209928463067793683463432011228416182937552221534486876569261961385200713529977859336875739953630678778840665319395536842036940453515117224052611246831731713666343442134930549767269848280650241534748889618808123754062519138484706987031515558081281821391729782047125225698453279285975672914941829243701864834849175682181477868390011158070559835417016172348519738244827277442010131534272563371013102120919837362992433249537544188861251346683102922099199451730324920004964967076345090888434439416988073097913014496451459442751307693141146629884315471171067099562140226134000771196423228472055550263660936775582172324903610118419013637092084024677254116271005094282002093148417942439099299152585045853146194538347512742634032917080840028212085297017585542825865791520763527407736235471095323156254712041852886144126703449273486649899092800667936969115779124228839170342295065389470878064722781890277990940879496089739555177098923296132129631483313484857780080564854418102876306449994972860251077193060140795282354962787516151233085665637874474562181132996527076912839543541291138898371357967953218348289304744734738102519255064680492766136994473183336402295111958588186275743677196775896960744670161727927114112517826686655642261522334818520095149892102549688903744921688637943485937025026680830346224905112361951034140278692807964227419888658210841212663502830648317232514839126086258940560046599196407478611441137834678678397244247126071084266298000347659032560250620116983587225923162194323}
30040  312760254656642910051921079850334981839055836178926680321217345916534348550097694349842: {330319,840812,870319,1201160,1351305,1441392,1621566,2761196,3381751,4733522,4988791,5166991,5522024,5637932,6212277,6356396,7477039,8362279,8553705,9123952,9382634,9422191,10264446,10661132,10714641,11974389,12755525,12875577,13048172,13810591,14255225,14857111,15031279,15215577,15306630,16327072,16422031,16487594,17106270,17288911,17856545,18153991,18157865,18246688,18367956,18764012,18844759,19118281,19189711,19342905,19477196,19878751,20527524,20566639,20632432,20665196,21427854,21457865,21767671,21778514,21789438,23211486,23306671,23534954,23647879,23750252,24236522,24499639,25419317,25509350,25617512,25749438,25820529,25858711,25987922,26536519,27037034,27048584,27311830,27776396,28394551,28819701,29404351,29572399,29593221,29908279,30429657,30611220,30738725,30746719,31583359,32354014,32651968,32774196,32805105,32972972,33680396,34082479,34992112,35230025,35243191,35383274,36313310,36616569,36733464,36886470,37060039,37213196,38234014,39016900,39345568,39366126,39902312,40341079,40557554,40993831,41325147,41912396,42276030,42295879,42545877,42618194,42620671,42782959,43431391,43554092,43575972,43989074,44257196,44263764,44668869,44890101,45015722,45094432,45530839,45691831,46041074,46220020,46495711,46820280,47023112,47412609,47942817,48428522,48736999,49056031,49571817,49941632,50129522,50731236,51122719,52197621,52672815,52843634,52861951,52901001,53138252,53177225,53177239,54278479,54370057,54535274,54620020,54769196,55234892,55464024,56184336,56577921,57094039,58337911,58648159,58955852,59252714,60116972,61581151,62140025,62195311,62397027,62961391,63114391,63174181,63207378,63725671,63812670,64133637,64609514,64703716,64732101,64792639,65096839,65276522,65544024,66028600,66159271,66239349,66373196,66884744,66915991,67606514,67611665,67680465,67821679,68066848,68489169,69266474,69625279,69712904,69838796,70531052,70922834,70993041,71120359,71453612,71567479,71914922,72145196,72162631,72192496,73565522,73737027,73922885,73950824,74088919,74282175,74568030,74826559,75245337,75362312,76058732,76198994,76296439,76575204,76748396,77062025,77321071,77671510,77759119,78028600,78071829,78427017,78633271,79045196,79150634,79234320,79320905,79539232,80229151,81045465,81133998,81216558,81534725,81672391,82355672,82742354,83171372,83194677,83251639,83393522,83966599,84394711,84515525,84516608,84598969,84782601,85018922,85675159,85916396,86448496,86601932,87232231,87782175,88707462,88780591,88920919,89051505,89138610,89341471,89481636,89621479,89901199,90248830,90738631,90877951,91484522,91712359,92128591,92433880,92449394,92474430,92650131,93202449,93205812,93497649,93511351,93634320,93787039,94746309,94749679,94988272,95062664,95081184,95185086,95571991,95708791,96623372,96850412,97254558,97480639,97841670,97887799,98355397,98491281,98530154,98639392,99240319,99485522,99779311,99876608,99993305,...,34678654953946817490623882376510481754294259330574302961388593958868402328387701821156965554453645414164250960661926617443697985738662929570053862633974300303539143993687573826363768634944994436247808325619319305909155983734455853335734695790649460801997385350736311972236476226122651653321556968062289501854678278643634342547250459420961206052187122239299607880414249005627757269850137152538753463751496671334712438513023055122812904899498227926067845499775345003649884149681379649965122169335596770204769614197930377977111745416410666390430792500602242418680002574582454571545287566767084560558076534895701654893831828405259583440923452732135253726471854261341306397516084086283627483114977099198970126650648674836182544077625374540297297476596252001476268609525736436983993099693682548801686934039535771357067420365646917502434088146234495699741113411863077951641116871100328692010347652351687251233065519969971647093583692714636223529814414174868050469824334530692279282950886368559062125705085653528865476162833278574794500036584013802659927679834154504574917482836066268427897739172803270597835771283432394021604071059956286163800354374404938306500252945783415010869506294831211656269833094320469885283437877518279698218603866869423441032155513104680305451849042695595706086935985717535036284325495732995801916523704500775706462674414149384189458508507729258698223963949111660652877637657767351259594783929404929630369032799001784867104443743379407637950470250458023220550450194544023972859533135292090544699532014316048677611752016542539760774400437783845111099698298572616147608993496030973156854529794800333049025591335698300063689656306475518285198099345248708932634074613203843721543384606011158301762405688950539592433562618559260014257605297531180892414351935247625288976174280965551725087948919755425158018360328495702043702132108861691470964035811349466851539592764904244795100177046231484980078776855436691422666680609020747767851091960977817099465840832898794345250948454218153199069901988076644657266269878436768271677529499884394450595498103219490954014688061830462034321575733355024672388513810088731060546888787705255331476944786267156771208390868948099244278740982846465623870908936039226501904645263390116547362627968224216167184186435433586553834525516628020837120220086260390164787030623456378578119628928451452256864151819723255381654679511012291277664779236003090389039793486914620669108152058486132162126494228274648775723579126478684098150004233409738386303886472536424994204345636229407032639515630315359015256722681625090578808424053626366228639770294439099862988173423655374286890910969601341079745416483796248405859104385230078822400924206127174825752299311096688461283793681686260490625523807909065214392850788820000057194572416907686702677459017384934417211971019262505659263305421904545046140992798967015654344862065120663506515637264136231096171483722006687388214705780917167353568023825922770843296907334765459808355518694139162620611342871334756569174454980675534479551084747684030102375222554629727291525540765204250220369228780673227467624535039407197219839470551319994191293557393534602308784369500124204798937966695678516080581707249501377459060798881134940261073168343066110610916282737066202470551587806424751532197394800823353632402505409934888279904617423724911284576014971221577250069628712649168759015948513600951373303812449167653271507571705120887092527382456049253938020156298736814995775642284888457922846574066356359797707533655379665186158410831672083358851312942649375354077441709095188973042729500300931271039047967563886589105658269153113132234242908637157853348210760746447222688229798026317659769703256013508712363417828017469494559783150656577666050058918481668462244137229465599268973766560006619956101793454517912585889317430797217352661935279257001743590854862173179087294894756132749520301512001028261897637962740733684881249034109563099871480157892018182789445366236338821694673459042669457531223923252132398870113394470861592717796683656845377222774453370949447062690114057101154388694351369876981647294793764208339616055803848192168937932364648866532123734223915958821038832305118893789726753852627837419630375853703987921172661452986073569465231061509506175311084646477040107419805890803835075266659963813668102924080187727043139950383354868310780887517165966082908177328702769217119391388388185197828477290604291131052406326312984136692340086240657021515992630911115203060149278117581700991569595701195947659560215637236152150023768915540856348696446424693460199856136732918538326562251517257981249366702241107128299873483149268045520371590410618969893184877614454950218003774197756310019785501448345254080062132261876638148588183779571571196325662834761445688397333796878710080334160155978116301230882925764}
30041  313732150491515296435522657607444305391298027359180320578153949351407374315186949055187: {1051015,1261218,1501450,1801740,1921856,2162088,2432349,3451495,4141794,4831771,5612431,6272299,6632431,6902530,7047415,7100283,7945495,7983458,8283036,8456898,9534594,10144394,11224114,11404940,13326415,13525039,13685928,14073951,14286188,15396669,15501211,15965852,15991698,16310215,17167436,18053378,19572258,20002663,20287436,20408840,20898151,22415323,22808360,22959945,23397979,23455015,23667511,24346495,24490608,24731391,25215703,25659405,25790540,25831495,27341611,27370032,27551934,28146018,28570472,28849418,29052584,29215794,29687815,30618098,30791286,30948648,30997794,32021890,32141781,32667771,32684157,33520994,33810730,33907291,34332584,34427372,34720495,34817229,34914523,35302431,35327042,35625378,35875279,36354783,37186831,38264025,38426268,38624157,38981883,39294151,39457628,40555551,40572876,40654363,40814960,40967745,41145223,41216215,41620111,41664594,42100495,42156098,43698928,43740140,45916830,46046983,46516495,48531021,48771125,48822092,48903451,48974959,48977952,49161294,49181960,49349623,49459458,49629019,49877890,50361079,50520594,51590671,52188578,52390495,52391671,52488168,53074911,53551531,54419023,54442615,54469965,54858331,55100196,55321495,55329705,55819794,56368040,56727836,57351021,57418399,57775025,57875623,58101296,58524151,58525350,58776619,58778890,59018352,59049189,59558492,59853468,60836331,60998791,61511138,62427040,62868594,63168434,63216812,63343951,63414045,63923756,63927291,64648111,64706971,65074831,65331138,65363958,65942023,65983611,66095756,66152923,66385794,66395646,66422815,66497794,66753751,67523583,67641648,68275025,68461495,69043615,69061611,69209899,69330030,69444962,69497191,69596828,70230420,70434034,70534668,72061213,72642783,73694815,73952032,74085271,74418091,74912448,75146215,75194283,75437228,75642434,76096854,76683991,77002171,78970639,79265451,79707378,79715023,80879645,81802911,81930030,82153794,82535750,82552039,82852338,82966495,83072978,83114738,83179831,83196036,83605930,84276504,84570463,84784778,85083560,85511516,86309468,87141130,87298495,87392032,87791791,88062799,88163815,88319132,88433778,88711579,88879071,89317015,89571511,90175458,90181495,90240620,90657391,91318892,91367131,91887391,92438530,92554423,94155031,94202890,94240123,94657388,94811067,95073415,95329538,95432071,95523163,95548418,95719005,95935495,96654523,96753991,96867751,96914119,96914271,97055574,97535750,97914783,97943362,98316036,98806495,99042900,99424040,99559794,...,52017982430920226235935823564765722631441388995861454442082890938302603492581552731735448331680468121246376440992889926165546978607994394355080793950961450455308715990531360739545652952417491654371712488428978958863733975601683780003602043685974191202996078026104467958354714339183977479982335452093434252782017417965451513820875689131441809078280683358949411820621373508441635904775205728808130195627245007002068657769534582684219357349247341889101768249663017505474826224522069474947683254003395155307154421296895566965667618124615999585646188750903363628020003861873681857317931350150626840837114802343552482340747742607889375161385179098202880589707781392011959596274126129425441224672465648798455189975973012254273816116438061810445946214894378002214402914288604655475989649540523823202530401059303657035601130548470376253651132219351743549611670117794616927461675306650493038015521478527530876849598279954957470640375539071954335294721621262302075704736501796038418924426329552838593188557628480293298214244249917862191750054876020703989891519751231756862376224254099402641846608759204905896753656925148591032406106589934429245700531561607407459750379418675122516304259442246817484404749641480704827925156816277419547327905800304135161548233269657020458177773564043393559130403978576302554426488243599493702874785556751163559694011621224076284187762761593888047335945923667490979316456486651026889392175894107394445553549198502677300656665615069111456925705375687034830825675291816035959289299702938135817049298021474073016417628024813809641161600656675767666649547447858924221413490244046459735281794692200499573538387003547450095534484459713277427797149017873063398951111919805765582315076909016737452643608533425809388650343927838890021386407946296771338621527902871437933464261421448327587631923379633137737027540492743553065553198163292537206446053717024200277309389147356367192650265569347227470118165283155037134000020913531121651776637941466725649198761249348191517876422681327229798604852982114966985899404817655152407516294249826591675893247154829236431022032092745693051482363600032537008582770715133096590820333181557882997215417179400735156812586303422148866418111474269698435806363404058839752856967895085174821043941952336324250776279653150379830751788274942031255680330129390585247180545935184567867179443392677178385296227729584883072482019266518436916497168854004635583559690230371931003662228087729198243189741342411973163585368689718026147225006350114607579455829708804637491306518454344110548959273445473038522885084022437635868212636080439549342959655441658649794482260135483061430336366454402011619618124725694372608788656577845118233601386309190762238628448966645032691925690522529390735938285711863597821589276183230000085791858625361530054016188526077401625817956528893758488894958132856817569211489198450523481517293097680995259773455896204346644257225583010031082322058671375751030352035738884156264945361002148189712533278041208743930917014307002134853761682471013301719326627121526045153562833831944590937288311147806375330553843171009841201436802559110795829759205826979991286940336090301903463176554250186307198406950043517774120872560874252066188591198321702410391609752514599165916374424105599303705827381709637127298296092201235030448603758114902332419856926135587366926864022456832365875104443068973753138523922770401427059955718673751479907261357557681330638791073684073880907030234448105222493663463427332686884269861099534539696561300483069497779237616247508125038276969413974063031116162563642783459564094250451396906558571951345829883658487403729669698351364362955736780022316141119670834032344697039476489654554884020263068545126742026204241839674725984866499075088377722502693366205844198398903460649840009929934152690181776868878833976146195826028992902918885502615386282293259768630942342134199124280452268001542392846456944111100527321873551164344649807220236838027274184168049354508232542010188564004186296835884878198598305170091706292389076695025485268065834161680056424170594035171085651731583041527054815472470942190646312509424083705772288253406898546973299798185601335873938231558248457678340684590130778941756129445563780555981881758992179479110354197846592264259262966626969715560161129708836205752612899989945720502154386120281590564709925575032302466171331275748949124362265993054153825679087082582277796742715935906436696578609489469476205038510129360985532273988946366672804590223917176372551487354393551793921489340323455854228225035653373311284523044669637040190299784205099377807489843377275886971874050053361660692449810224723902068280557385615928454839777316421682425327005661296634465029678252172517881120093198392814957222882275669357356794488494252142168532596000695318065120501240233967174451846324388646}
30042  314707048881547300550099336278322923925423903239809254596925932855930677787618782954426: {390377,660638,870377,930341,1589417,1681624,1740638,1768997,1891827,2252175,2402320,2486597,2702610,2882784,3243132,4870277,5345477,5522392,5701541,6212691,6649637,6763502,7122917,8362841,8421797,9467044,9977582,10333982,10353795,10656197,11044048,11066537,11242277,11275864,11886041,11975187,12119897,12424554,12685347,12712792,12762341,13112357,13636841,14256175,14301891,14954078,15216591,15960041,16724558,16770137,16836171,17107410,17636357,17857735,18039977,18212837,18247904,18558341,18765268,18844382,18846041,18903557,19191017,19363397,19957315,20528892,20797097,21322264,21429282,21459295,21654917,22624937,23706341,23948778,23987547,23990441,24999163,25181477,25359295,25421011,25511050,25751154,26096344,26538341,26764037,27080067,27384041,27621182,28510450,28564997,29294297,29358387,29574437,29630441,29714222,29966297,30041011,30062558,30431154,30613260,30804677,31641257,32086697,32238175,32654144,32844062,32975188,33586277,33807941,34212540,34577822,35411177,35713090,35962457,36307982,36315730,36493376,36735912,36897797,37062617,37117541,37528024,37689518,37885637,38236562,38379422,38685810,38954392,39362537,39580841,39757502,40071557,40724837,41055048,41133278,41159717,41264864,41327901,41330392,41485541,42027941,42219027,42352997,42623657,42855708,42915730,43034215,43274127,43535342,43557028,43578876,43823691,43973957,44135657,44943077,45748697,45855977,45927147,46186929,46422972,46496691,46613342,47069908,47295758,47500504,47994857,48032835,48473044,48793637,48999278,49059497,49322035,49590617,49749797,50281491,50716095,50838634,51018700,51235024,51443237,51498876,51641058,51654341,51717422,51975844,52444841,52918277,52990563,53073038,53438067,54074068,54097168,54282341,54334697,54623660,54675175,55380137,55552792,56370341,56789102,57639402,58186841,58393817,58652357,58808702,59144798,59186442,59736041,59816558,60859314,61027615,61222440,61477450,61493438,62250917,62353157,62496891,62557541,63016937,63166718,63234147,63628457,64035497,64708028,64848041,65101541,65303936,65548392,65610210,65945944,66063017,66618341,67360792,67826597,68164958,68875245,68930117,69984224,70460050,70486382,70766548,70909795,71175257,72167897,72626620,73233138,73466928,73741941,73772940,74120078,74143577,74189187,74426392,74448115,74816835,75780891,76008617,76302041,76350917,76468028,77521541,78033800,78282867,78691136,78732252,79021015,79655717,79804624,79904695,80379737,80682158,81101957,81115108,81390341,81987662,82301657,82588841,82619695,82650294,83114597,83257817,83729691,83824792,84020441,84552060,84591758,85018277,85091754,85236388,85241342,85444841,85565918,85965317,86107097,86390441,86579177,86862782,86996035,87108184,87151944,87285797,87788025,87978148,88168335,88514392,88527528,88553177,88693637,88927577,88974341,89254757,89337738,89628197,89674841,89780202,89954537,90031444,90188864,91061678,91383662,92082148,92181737,92266707,92440040,92991422,93564377,93640560,93840041,94046224,94296535,94302891,94656331,94752651,94802597,94825218,95031257,95885634,96171557,96807941,96857044,97473998,97996707,98045937,98112062,98211497,99143634,99247877,99562457,99578691,99593469,99746691,99883264,...,78026973646380339353903735347148583947162083493792181663124336407453905238872329097603172497520702181869564661489334889248320467911991591532621190926442175682963073985797041109318479428626237481557568732643468438295600963402525670005403065528961286804494117039156701937532071508775966219973503178140151379173026126948177270731313533697162713617421025038424117730932060262662453857162808593212195293440867510503102986654301874026329036023871012833652652374494526258212239336783104212421524881005092732960731631945343350448501427186923999378469283126355045442030005792810522785976897025225940261255672203515328723511121613911834062742077768647304320884561672088017939394411189194138161837008698473197682784963959518381410724174657092715668919322341567003321604371432906983213984474310785734803795601588955485553401695822705564380476698329027615324417505176691925391192512959975739557023282217791296315274397419932436205960563308607931502942082431893453113557104752694057628386639494329257889782836442720439947321366374876793287625082314031055984837279626847635293564336381149103962769913138807358845130485387722886548609159884901643868550797342411111189625569128012683774456389163370226226607124462221057241887735224416129320991858700456202742322349904485530687266660346065090338695605967864453831639732365399240554312178335126745339541017431836114426281644142390832071003918885501236468974684729976540334088263841161091668330323797754015950984998422603667185388558063530552246238512937724053938933949554407203725573947032211109524626442037220714461742400985013651499974321171788386332120235366069689602922692038300749360307580505321175143301726689569916141695723526809595098426667879708648373472615363525106178965412800138714082975515891758335032079611919445157007932291854307156900196392132172491381447885069449706605541310739115329598329797244938805809669080575536300415964083721034550788975398354020841205177247924732555701000031370296682477664956912200088473798141874022287276814634021990844697907279473172450478849107226482728611274441374739887513839870732243854646533048139118539577223545400048805512874156072699644886230499772336824495823125769101102735218879455133223299627167211404547653709545106088259629285451842627762231565912928504486376164419479725569746127682412413046883520495194085877870770818902776851800769165089015767577944341594377324608723028899777655374745753281006953375339535345557896505493342131593797364784612013617959745378053034577039220837509525171911369183744563206956236959777681516165823438910168209557784327626033656453802318954120659324014439483162487974691723390203224592145504549681603017429427187088541558913182984866767677350402079463786143357942673449967549037888535783794086103907428567795396732383914274845000128687787938042295081024282789116102438726934793340637733342437199285226353817233797675785222275939646521492889660183844306519966385838374515046623483088007063626545528053608326234397418041503222284568799917061813115896375521460503202280642523706519952578989940682289067730344250747916886405932466721709562995830764756514761802155203838666193744638808740469986930410504135452855194764831375279460797610425065276661181308841311378099282886797482553615587414628771898748874561636158398955558741072564455690947444138301852545672905637172353498629785389203381050390296033685248548812656664603460629707785884155602140589933578010627219860892036336521995958186610526110821360545351672157833740495195140999030326404791649301809544841950724604246668856424371262187557415454120961094546674243845464175189346141375677095359837857927018744825487731105594504547527046544433605170033474211679506251048517045559214734481832326030394602817690113039306362759512088977299748612632566583754040049308766297598355190974760014894901229035272665303318250964219293739043489354378328253923079423439889652946413513201298686420678402002313589269685416166650790982810326746516974710830355257040911276252074031762348813015282846006279445253827317297897457755137559438583615042538227902098751242520084636255891052756628477597374562290582223208706413285969468764136125558658432380110347820459949697278402003810907347337372686517511026885196168412634194168345670833972822638488269218665531296769888396388894449940454573340241694563254308628919349984918580753231579180422385847064888362548453699256996913623423686543398989581230738518630623873416695114073903859655044867914234204214307557765194041478298410983419550009206885335875764558827231031590327690882234010485183781342337553480059966926784567004455560285449676307649066711234765065913830457811075080042491038674715337085853102420836078423892682259665974632523637990508491944951697544517378258776821680139797589222435834323413504036035191732741378213252798894001042977097680751860350950761677769486582969}
30043  315684959048700995560880519654913612986155884758593224132842194547739805698889050682137: {990957,1471421,2102030,2522436,2610957,3002900,3603480,3843712,4053915,4324176,4832093,4864698,6272717,6632873,6902990,7412717,8283588,9663542,9866381,10145253,11123693,11224862,11833805,12544598,13264862,13805060,14094830,14184797,14200566,14966373,15500973,15890990,15966916,15984137,16566072,16913796,18319613,18636831,18656981,18863081,19069188,20288788,21382157,21917573,22431117,22448228,22809880,22834301,23356757,23456585,24057077,25086837,25515533,25661115,26652830,26954717,27050078,27371856,27652157,28147902,28266573,28572376,30793338,31002422,31931704,31983396,32143923,32312813,32620430,32837021,34085093,34123301,34334872,35923167,36106756,36164093,38266575,38626731,39144516,40005326,40072253,40218821,40574872,40817680,41218985,41431773,41562941,41796302,42032477,42398057,42765675,43948073,44571333,44830646,45093837,45616720,45646731,45919890,46795958,46910030,47335022,48608693,48692990,48981216,49222637,49266093,49462782,49632341,50281013,50431406,51318810,51581080,51662990,51866733,52098701,52817717,53569635,54446285,54461973,54473595,54683222,54740064,55103868,55155461,55436201,56292036,56534277,57140944,57354843,57569133,57698836,57702701,57879497,58028715,58105168,58187021,58431588,58555397,58652477,58837385,58940693,59375630,59433341,59636253,60591305,60821261,60970793,61236196,61582572,61699917,61897296,61995588,63288173,63773375,64043780,64283562,64373595,64832573,64969805,65123093,65303013,65304437,65335542,65368314,65374301,67041988,67592585,67621460,67814582,68249213,68279575,68665168,68854744,69440990,69463277,69634458,69829046,69920013,70604862,70654084,70873373,70943637,71250756,71750558,72709566,73346693,73498917,74373662,74861033,75073757,76219661,76257951,76402313,76528050,76852536,77248314,77450093,77461587,77576133,77963766,78588302,78915256,79609557,80885035,81111102,81145752,81308726,81629920,81793517,81935490,82290446,82432430,82750373,83240222,83329188,84156521,84200990,84312196,85183653,85705637,86459103,87397856,87476621,87480280,87948653,88213053,88458185,88717197,88717541,88779663,89093261,89724837,90783275,91288971,91833660,92093966,92216175,92240157,92991941,93032990,93328937,93940853,94750077,95529557,95585035,95846093,96661061,97062042,97542250,97644184,97806902,97882073,97949918,97955904,98120237,98322588,98363920,98415315,98516681,98699246,98918916,99258038,99755780,...,104035964861840452471871647129531445262882777991722908884165781876605206985163105463470896663360936242492752881985779852331093957215988788710161587901922900910617431981062721479091305904834983308743424976857957917727467951203367560007204087371948382405992156052208935916709428678367954959964670904186868505564034835930903027641751378262883618156561366717898823641242747016883271809550411457616260391254490014004137315539069165368438714698494683778203536499326035010949652449044138949895366508006790310614308842593791133931335236249231999171292377501806727256040007723747363714635862700301253681674229604687104964681495485215778750322770358196405761179415562784023919192548252258850882449344931297596910379951946024508547632232876123620891892429788756004428805828577209310951979299081047646405060802118607314071202261096940752507302264438703487099223340235589233854923350613300986076031042957055061753699196559909914941280751078143908670589443242524604151409473003592076837848852659105677186377115256960586596428488499835724383500109752041407979783039502463513724752448508198805283693217518409811793507313850297182064812213179868858491401063123214814919500758837350245032608518884493634968809499282961409655850313632554839094655811600608270323096466539314040916355547128086787118260807957152605108852976487198987405749571113502327119388023242448152568375525523187776094671891847334981958632912973302053778784351788214788891107098397005354601313331230138222913851410751374069661651350583632071918578599405876271634098596042948146032835256049627619282323201313351535333299094895717848442826980488092919470563589384400999147076774007094900191068968919426554855594298035746126797902223839611531164630153818033474905287217066851618777300687855677780042772815892593542677243055805742875866928522842896655175263846759266275474055080985487106131106396326585074412892107434048400554618778294712734385300531138694454940236330566310074268000041827062243303553275882933451298397522498696383035752845362654459597209705964229933971798809635310304815032588499653183351786494309658472862044064185491386102964727200065074017165541430266193181640666363115765994430834358801470313625172606844297732836222948539396871612726808117679505713935790170349642087883904672648501552559306300759661503576549884062511360660258781170494361091870369135734358886785354356770592455459169766144964038533036873832994337708009271167119380460743862007324456175458396486379482684823946327170737379436052294450012700229215158911659417609274982613036908688221097918546890946077045770168044875271736425272160879098685919310883317299588964520270966122860672732908804023239236249451388745217577313155690236467202772618381524477256897933290065383851381045058781471876571423727195643178552366460000171583717250723060108032377052154803251635913057787516977789916265713635138422978396901046963034586195361990519546911792408693288514451166020062164644117342751502060704071477768312529890722004296379425066556082417487861834028614004269707523364942026603438653254243052090307125667663889181874576622295612750661107686342019682402873605118221591659518411653959982573880672180603806926353108500372614396813900087035548241745121748504132377182396643404820783219505029198331832748848211198607411654763419274254596592184402470060897207516229804664839713852271174733853728044913664731750208886137947506277047845540802854119911437347502959814522715115362661277582147368147761814060468896210444987326926854665373768539722199069079393122600966138995558475232495016250076553938827948126062232325127285566919128188500902793813117143902691659767316974807459339396702728725911473560044632282239341668064689394078952979309109768040526137090253484052408483679349451969732998150176755445005386732411688396797806921299680019859868305380363553737757667952292391652057985805837771005230772564586519537261884684268398248560904536003084785692913888222201054643747102328689299614440473676054548368336098709016465084020377128008372593671769756397196610340183412584778153390050970536131668323360112848341188070342171303463166083054109630944941884381292625018848167411544576506813797093946599596371202671747876463116496915356681369180261557883512258891127561111963763517984358958220708395693184528518525933253939431120322259417672411505225799979891441004308772240563181129419851150064604932342662551497898248724531986108307651358174165164555593485431871812873393157218978938952410077020258721971064547977892733345609180447834352745102974708787103587842978680646911708456450071306746622569046089339274080380599568410198755614979686754551773943748100106723321384899620449447804136561114771231856909679554632843364850654011322593268930059356504345035762240186396785629914445764551338714713588976988504284337065192001390636130241002480467934348903692648777292}
30044  316665890243097294444760454944105883182600485955062070054770080874151466547797849063665: {780754,930403,1321276,1740754,1828963,1860682,2904859,3153045,3178834,3363248,3481276,3537994,3753625,3783654,3799459,4504350,4804640,4870603,4973194,5405203,5405220,5761243,5765568,6294763,6486264,7182523,7297047,8422363,9740554,10354485,10690954,11044784,11067283,11403082,12425382,12821563,13299274,13521259,13527004,13696003,14245834,14495313,16725682,16829083,16837293,16843594,17256325,17695243,17868259,18816897,18904843,18934088,19422163,19897293,19955164,19958645,20667964,20707590,21142245,21300849,21312394,21484963,22088096,22133074,22170259,22484554,22551728,23772082,23836485,23950374,24048883,24239794,24849108,24899923,25000829,25360985,25370694,25425584,25524682,25579459,26224714,26427259,27273682,27940241,28060285,28117459,28512350,28603782,29632483,29908156,30043013,30433182,31920082,32311459,32478283,33449116,33540274,33672342,34214820,34640443,35272714,35468803,35503013,35634259,35715470,36079954,36425674,36495808,37116682,37120123,37530536,37688764,37692082,37807114,37943083,38382034,38726794,39583603,39914630,39944641,39979245,40575117,40727683,41057784,41379859,41542723,41594194,42030883,42221853,42644528,42858564,42918590,43309834,43653403,44623459,45133445,45249874,45429859,46190007,46503633,47037259,47412682,47897556,47975094,47980882,47998243,48930645,49434859,49998326,50362954,50718590,50842022,51022100,51502308,52192688,52448563,53076682,53528074,54160134,54338563,54768082,55242364,55749259,55905643,56530459,57020900,57129994,58242763,58588594,58716774,59148874,59260882,59428444,59791843,59932594,60007989,60082022,60125116,60247901,60255163,60862308,61226520,61609354,61794883,62562043,62694453,63282514,63327403,63633043,64090963,64173394,64476350,65004859,65308288,65612683,65688124,65950376,67172554,67245969,67615882,68425080,68879835,68935123,69050849,69155644,70193937,70284259,70365045,70822354,71002533,71426180,71776459,71924914,72123545,72519859,72615964,72631460,72986752,73039485,73261459,73409563,73471824,73795594,74001259,74125234,74194173,74235082,75056048,75379036,75475459,75647109,75771274,76063123,76356523,76473124,76545245,76758844,76978215,77088763,77371620,77494485,77908784,78725074,79129459,79161682,79515004,79999723,80054725,80143114,80433883,81156043,81449674,82024833,82110096,82266556,82319434,82529728,82655802,82660784,82971082,83802485,84055882,84438054,84526825,84705994,85024603,85247314,85438661,85451203,85711416,85831460,86068430,86548254,87070684,87114056,87157752,87647382,87947914,88271314,88317605,88419259,88559803,88981003,89063445,89261443,89681563,89886154,91497394,91711954,91854294,92373858,92845944,92993382,93226684,93984859,94139816,94591516,95001008,95358259,95495203,95989714,96042259,96065670,96425343,96860683,96946088,97404859,97587274,97998556,98003313,98052471,98083459,98118994,98644070,99181234,99273713,99499594,99570043,...,156053947292760678707807470694297167894324166987584363326248672814907810477744658195206344995041404363739129322978669778496640935823983183065242381852884351365926147971594082218636958857252474963115137465286936876591201926805051340010806131057922573608988234078313403875064143017551932439947006356280302758346052253896354541462627067394325427234842050076848235461864120525324907714325617186424390586881735021006205973308603748052658072047742025667305304748989052516424478673566208424843049762010185465921463263890686700897002854373847998756938566252710090884060011585621045571953794050451880522511344407030657447022243227823668125484155537294608641769123344176035878788822378388276323674017396946395365569927919036762821448349314185431337838644683134006643208742865813966427968948621571469607591203177910971106803391645411128760953396658055230648835010353383850782385025919951479114046564435582592630548794839864872411921126617215863005884164863786906227114209505388115256773278988658515779565672885440879894642732749753586575250164628062111969674559253695270587128672762298207925539826277614717690260970775445773097218319769803287737101594684822222379251138256025367548912778326740452453214248924442114483775470448832258641983717400912405484644699808971061374533320692130180677391211935728907663279464730798481108624356670253490679082034863672228852563288284781664142007837771002472937949369459953080668176527682322183336660647595508031901969996845207334370777116127061104492477025875448107877867899108814407451147894064422219049252884074441428923484801970027302999948642343576772664240470732139379205845384076601498720615161010642350286603453379139832283391447053619190196853335759417296746945230727050212357930825600277428165951031783516670064159223838890314015864583708614313800392784264344982762895770138899413211082621478230659196659594489877611619338161151072600831928167442069101577950796708041682410354495849465111402000062740593364955329913824400176947596283748044574553629268043981689395814558946344900957698214452965457222548882749479775027679741464487709293066096278237079154447090800097611025748312145399289772460999544673648991646251538202205470437758910266446599254334422809095307419090212176519258570903685255524463131825857008972752328838959451139492255364824826093767040990388171755741541637805553703601538330178031535155888683188754649217446057799555310749491506562013906750679070691115793010986684263187594729569224027235919490756106069154078441675019050343822738367489126413912473919555363032331646877820336419115568655252067312907604637908241318648028878966324975949383446780406449184291009099363206034858854374177083117826365969733535354700804158927572286715885346899935098075777071567588172207814857135590793464767828549690000257375575876084590162048565578232204877453869586681275466684874398570452707634467595351570444551879293042985779320367688613039932771676749030093246966176014127253091056107216652468794836083006444569137599834123626231792751042921006404561285047413039905157979881364578135460688501495833772811864933443419125991661529513029523604310407677332387489277617480939973860821008270905710389529662750558921595220850130553322362617682622756198565773594965107231174829257543797497749123272316797911117482145128911381894888276603705091345811274344706997259570778406762100780592067370497097625313329206921259415571768311204281179867156021254439721784072673043991916373221052221642721090703344315667480990390281998060652809583298603619089683901449208493337712848742524375114830908241922189093348487690928350378692282751354190719675715854037489650975462211189009095054093088867210340066948423359012502097034091118429468963664652060789205635380226078612725519024177954599497225265133167508080098617532595196710381949520029789802458070545330606636501928438587478086978708756656507846158846879779305892827026402597372841356804004627178539370832333301581965620653493033949421660710514081822552504148063524697626030565692012558890507654634595794915510275118877167230085076455804197502485040169272511782105513256955194749124581164446417412826571938937528272251117316864760220695640919899394556804007621814694674745373035022053770392336825268388336691341667945645276976538437331062593539776792777788899880909146680483389126508617257838699969837161506463158360844771694129776725096907398513993827246847373086797979162461477037261247746833390228147807719310089735828468408428615115530388082956596821966839100018413770671751529117654462063180655381764468020970367562684675106960119933853569134008911120570899352615298133422469530131827660915622150160084982077349430674171706204841672156847785364519331949265047275981016983889903395089034756517553643360279595178444871668646827008072070383465482756426505597788002085954195361503720701901523355538973165938}
30045  317649851743101429764735113438525140273972874509938476226220370787714594660551923209833: {1171131,1651595,1981914,2611131,2791023,2942842,4204060,4351595,4768251,5044872,5221914,5306991,5675481,6005800,6756525,7206960,7413211,7459791,7592783,7687424,8107830,8648352,8673179,9664186,9729396,12545434,13265746,13805980,14610831,14825434,16036431,16567176,16567327,16763851,16908755,17104623,18638073,19327084,19732762,19948911,20290506,21082267,21368751,22247386,22449724,23667610,24496111,24943955,25088523,25089196,25265391,25834955,26529724,27610120,28189660,28369594,28401132,28431091,28813663,29932746,31001946,31061385,31781980,31933832,31968274,31968591,32839219,33132144,33199611,33726831,33827592,35224079,35658123,35925561,36359691,36639226,37191803,37273662,37313962,37385195,37726162,38056041,38137807,38138376,38287023,39337071,40577576,40910523,41811395,42764314,42768525,42905673,43835146,44862234,44896456,44950447,45619760,45649773,45668602,46713514,46913170,47110955,47880123,48114154,50173674,50310411,50508513,51031066,51322230,51384659,52909071,53305660,53573205,53909434,54100156,54119931,54426299,54638511,54743712,54865679,55304314,55394191,55675023,56295804,56533146,56538123,56710671,57144752,57573051,57706579,58090191,58656403,59871945,61586676,61958107,62004844,62199919,62391291,63777625,63863408,63966792,64287846,64377885,64625626,64656779,64964751,65240860,65674042,67590379,67874811,68170186,68246602,68669744,69052955,69506483,70239403,71119023,71276125,71846334,71962641,71971323,72213512,72328186,74285555,74997489,75156395,75544431,75683507,76077885,76224799,76263033,76533150,77177971,77241587,77253462,78289032,79615023,80010652,80144506,80292111,80437642,81149744,81240201,81635360,82110155,82152123,82372339,82437970,82863546,83125882,83592604,84064954,84796114,84827827,85531350,85694991,86444555,87882891,87896146,88075161,88723311,88723531,88891323,89142666,89282725,89661292,89898891,89960419,90123033,90187674,90769955,90789325,90957727,91233440,91293462,91839780,91966523,92414031,92485711,93591916,93820060,94223795,94629619,94670044,94923771,95591405,95855243,95948555,96260091,96714525,96880739,97217386,97385980,97962432,98445274,98532186,98925564,99264682,99393755,99866399,...,234080920939141018061711206041445751841486250481376544989373009222361715716616987292809517492562106545608693984468004667744961403735974774597863572779326527048889221957391123327955438285878712444672706197930405314886802890207577010016209196586883860413482351117470105812596214526327898659920509534420454137519078380844531812193940601091488140852263075115272353192796180787987361571488425779636585880322602531509308959962905622078987108071613038500957957123483578774636718010349312637264574643015278198882194895836030051345504281560771998135407849379065136326090017378431568357930691075677820783767016610545986170533364841735502188226233305941912962653685016264053818183233567582414485511026095419593048354891878555144232172523971278147006757967024701009964813114298720949641953422932357204411386804766866456660205087468116693141430094987082845973252515530075776173577538879927218671069846653373888945823192259797308617881689925823794508826247295680359340671314258082172885159918482987773669348509328161319841964099124630379862875246942093167954511838880542905880693009143447311888309739416422076535391456163168659645827479654704931605652392027233333568876707384038051323369167490110678679821373386663171725663205673248387962975576101368608226967049713456592061799981038195271016086817903593361494919197096197721662936535005380236018623052295508343278844932427172496213011756656503709406924054189929621002264791523483275004990971393262047852954995267811001556165674190591656738715538813172161816801848663221611176721841096633328573879326111662143385227202955040954499922963515365158996360706098209068808768076114902248080922741515963525429905180068709748425087170580428785295280003639125945120417846090575318536896238400416142248926547675275005096238835758335471023796875562921470700589176396517474144343655208349119816623932217345988794989391734816417429007241726608901247892251163103652366926195062062523615531743774197667103000094110890047432994870736600265421394425622066861830443902065972534093721838419517351436547321679448185833823324124219662541519612196731563939599144417355618731670636200146416538622468218098934658691499317010473487469377307303308205656638365399669898881501634213642961128635318264778887856355527883286694697738785513459128493258439176709238383047237239140650561485582257633612312456708330555402307495267047302733833024783131973826169086699332966124237259843020860126018606036673689516480026394781392094353836040853879236134159103731117662512528575515734107551233689620868710879333044548497470316730504628673352982878100969361406956862361977972043318449487463924075170170609673776436513649044809052288281561265624676739548954600303032051206238391358430073828020349902647113665607351382258311722285703386190197151742824535000386063363814126885243072848367348307316180804380021913200027311597855679061451701393027355666827818939564478668980551532919559899157515123545139870449264021190879636584160824978703192254124509666853706399751185439347689126564381509606841927571119559857736969822046867203191032752243750659217797400165128688987492294269544285406465611515998581233916426221409960791231512406358565584294494125838382392831275195829983543926523934134297848660392447660846762243886315696246623684908475196866676223217693367072842332414905557637018716911517060495889356167610143151170888101055745646437969993810381889123357652466806421769800734031881659582676109009565987874559831578332464081636055016473501221485585422997090979214374947905428634525852173812740006569273113786562672246362362883283640022731536392525568038424127031286079513573781056234476463193316783513642581139633300815510100422635038518753145551136677644203445496978091183808453070339117919088278536266931899245837897699751262120147926298892795065572924280044684703687105817995909954752892657881217130468063134984761769238270319668958839240539603896059262035206006940767809056248499952372948430980239550924132491065771122733828756222095287046439045848538018838335761481951893692373265412678315750845127614683706296253727560253908767673158269885432792123686871746669626119239857908406292408376675975297140331043461379849091835206011432722042012118059552533080655588505237902582505037012501918467915464807655996593890309665189166683349821363720020725083689762925886758049954755742259694737541267157541194665087645361097770990740870271059630196968743692215555891871620250085342221711578965134603742702612642922673295582124434895232950258650027620656007627293676481693094770983072646702031455551344027012660440179900780353701013366680856349028922947200133704295197741491373433225240127473116024146011257559307262508235271678046778997923897570913971525475834855092633552134776330465040419392767667307502970240512108105575198224134639758396682003128931293042255581052852285033308459748907}
30046  318636852855408691413227137077996366775373971706199381887027523784193571281298962520723: {510493,1561508,1860806,2642552,2972871,3481508,3657926,3721364,4414263,4989793,5168029,5255075,5346193,5809718,6306090,6357668,6726496,6768913,6962552,7075988,7507250,7567308,7598918,7655773,7832871,8717629,9008700,9609280,9741206,9946388,10810406,10810440,11360929,11522486,11531136,12161745,12589526,12972528,14162593,14365046,14496279,14594094,15034333,16598929,16844726,17257475,17465629,18157693,18818151,19021153,19366033,19481108,19898619,20054929,20708970,21086113,21381908,21772129,22089568,22134566,22238151,22806164,24158855,24504673,24850764,25643126,26598548,27042518,27054008,27392006,27942103,28062155,28491668,28568929,28990626,29410429,29578513,29599143,30435759,31361495,31757053,33162155,33371079,33451364,33658166,33674586,33687188,34255633,34512650,35237075,35390486,35416093,35501415,35505379,35736518,37633794,37809686,37868176,38844326,39284399,39727475,39794586,39910328,39917290,39947303,40839313,41165473,41335928,41415180,42284490,42467233,42554391,42601698,42624788,42791953,42969926,44176192,44249629,44266148,44340518,44899119,44969108,45056929,45103456,45701473,45862429,46502919,46505533,47207303,47544164,47672970,47900748,47952411,48097766,48108253,48479588,49698216,49799846,50001658,50721970,50741388,50851168,51049364,51158918,52449428,52854518,54547364,54761053,54958839,55880482,55910493,55970943,56120570,56234918,56589243,56794513,57024700,57207564,57728929,58660753,59264966,59435293,59816312,60053629,60086026,60866364,62208733,62362129,62974993,63128029,63186823,63739453,63840164,64044733,64146471,64622918,64956566,65262973,65752719,66173629,66325153,66632075,66898232,67080548,67293351,67344684,67625195,68429640,68502903,69280886,70070271,70369755,70545428,70937606,71006026,71268518,71430940,71583133,72159908,72171231,72851348,72991616,74233364,74240246,75061072,75260511,75377528,75384164,75614228,75886166,76546599,76764068,76983345,77453588,77506055,78796129,79167206,79667473,79829260,79889282,79958490,80391613,80864151,81150234,81455366,81551075,82115568,82759718,82956471,83085446,83188388,83985313,84061766,84443706,84799719,85125793,85289056,85717128,85837180,86619668,87306806,88800529,88940893,89246918,89361553,89641633,90266890,90499748,90859718,90898429,91733053,92380014,93007266,93670429,94074518,94221373,94825364,95730529,95795112,95950188,95961764,95996486,96431769,96550033,96938439,97861290,98511063,98869718,99262993,99667453,99996652,...,312107894585521357415614941388594335788648333975168726652497345629815620955489316390412689990082808727478258645957339556993281871647966366130484763705768702731852295943188164437273917714504949926230274930573873753182403853610102680021612262115845147217976468156626807750128286035103864879894012712560605516692104507792709082925254134788650854469684100153696470923728241050649815428651234372848781173763470042012411946617207496105316144095484051334610609497978105032848957347132416849686099524020370931842926527781373401794005708747695997513877132505420181768120023171242091143907588100903761045022688814061314894044486455647336250968311074589217283538246688352071757577644756776552647348034793892790731139855838073525642896698628370862675677289366268013286417485731627932855937897243142939215182406355821942213606783290822257521906793316110461297670020706767701564770051839902958228093128871165185261097589679729744823842253234431726011768329727573812454228419010776230513546557977317031559131345770881759789285465499507173150500329256124223939349118507390541174257345524596415851079652555229435380521941550891546194436639539606575474203189369644444758502276512050735097825556653480904906428497848884228967550940897664517283967434801824810969289399617942122749066641384260361354782423871457815326558929461596962217248713340506981358164069727344457705126576569563328284015675542004945875898738919906161336353055364644366673321295191016063803939993690414668741554232254122208984954051750896215755735798217628814902295788128844438098505768148882857846969603940054605999897284687153545328480941464278758411690768153202997441230322021284700573206906758279664566782894107238380393706671518834593493890461454100424715861651200554856331902063567033340128318447677780628031729167417228627600785568528689965525791540277798826422165242956461318393319188979755223238676322302145201663856334884138203155901593416083364820708991698930222804000125481186729910659827648800353895192567496089149107258536087963378791629117892689801915396428905930914445097765498959550055359482928975418586132192556474158308894181600195222051496624290798579544921999089347297983292503076404410940875517820532893198508668845618190614838180424353038517141807370511048926263651714017945504657677918902278984510729649652187534081980776343511483083275611107407203076660356063070311777366377509298434892115599110621498983013124027813501358141382231586021973368526375189459138448054471838981512212138308156883350038100687645476734978252827824947839110726064663293755640672838231137310504134625815209275816482637296057757932649951898766893560812898368582018198726412069717708748354166235652731939467070709401608317855144573431770693799870196151554143135176344415629714271181586929535657099380000514751151752169180324097131156464409754907739173362550933369748797140905415268935190703140889103758586085971558640735377226079865543353498060186493932352028254506182112214433304937589672166012889138275199668247252463585502085842012809122570094826079810315959762729156270921377002991667545623729866886838251983323059026059047208620815354664774978555234961879947721642016541811420779059325501117843190441700261106644725235365245512397131547189930214462349658515087594995498246544633595822234964290257822763789776553207410182691622548689413994519141556813524201561184134740994195250626658413842518831143536622408562359734312042508879443568145346087983832746442104443285442181406688631334961980780563996121305619166597207238179367802898416986675425697485048750229661816483844378186696975381856700757384565502708381439351431708074979301950924422378018190108186177734420680133896846718025004194068182236858937927329304121578411270760452157225451038048355909198994450530266335016160197235065190393420763899040059579604916141090661213273003856877174956173957417513313015692317693759558611785654052805194745682713608009254357078741664666603163931241306986067898843321421028163645105008296127049395252061131384025117781015309269191589831020550237754334460170152911608395004970080338545023564211026513910389498249162328892834825653143877875056544502234633729520441391281839798789113608015243629389349490746070044107540784673650536776673382683335891290553953076874662125187079553585555577799761818293360966778253017234515677399939674323012926316721689543388259553450193814797027987654493694746173595958324922954074522495493666780456295615438620179471656936816857230231060776165913193643933678200036827541343503058235308924126361310763528936041940735125369350213920239867707138268017822241141798705230596266844939060263655321831244300320169964154698861348343412409683344313695570729038663898530094551962033967779806790178069513035107286720559190356889743337293654016144140766930965512853011195576004171908390723007441403803046711077946331876}
30047  319626902915130423098270213951337185849706562328434460576778619248766692621103134505027: {30047,1951885,2312233,2342262,2791209,3303190,3963828,4351885,4651705,5222262,5486889,5582046,5885684,6092233,7593289,7947085,8408120,8673757,8703190,8714577,8844985,8973289,9459135,9536502,9693553,10089744,10443828,10613982,11260875,11350962,11398377,12011600,12432985,13513050,14413920,14611809,14826422,14919582,15185566,15374848,15504313,16215609,16215660,17283729,17296704,17346358,17480089,18884289,19328372,19458792,20902333,21547569,21891141,23672257,23956417,24351385,25090868,25220749,25267089,26531492,26727385,27611960,28273969,28507705,29221662,29318113,29650868,31063455,32072862,33134352,33134654,33201849,33248185,33527702,33817510,34209246,34921537,35614585,35882473,36160513,36168937,37276146,38464689,38654168,39465524,39897822,40563777,40581012,41088009,41628457,41814205,42108985,42164534,42255217,42737502,43485939,43953949,44494772,44899448,47335220,48992222,49887910,50177046,50178392,50487249,50511879,50530782,51259849,51601033,51669910,51768975,52339273,52402177,53059448,53085729,53280985,53562289,53604777,55220240,55332685,55443613,56211385,56379320,56450691,56714529,56739188,56802264,56829289,56862182,57429913,57470557,57627326,57730993,58266489,58535953,59430205,59691879,59865492,59875935,60599485,60829393,61660873,62003892,62122770,63426735,63563960,63811705,63867664,63902547,63936548,63937182,64454889,64841257,65313193,65561785,65678438,65955337,66264288,66399222,66510777,66767137,67453662,67655184,68184205,70448158,70882849,71280875,71316246,71509455,71851122,72146649,72441793,72719382,73278452,73625737,74383606,74547324,74597977,74627924,74699769,74770390,75002487,75452324,75688573,76082955,76112082,76275614,76276752,76385089,76412557,76574046,76699393,76738377,78674142,79281777,79731037,79800205,81155152,81821046,82568593,82761457,83622790,83820723,83850685,84167773,84180855,84352377,84587449,84781057,85528628,85537050,85811346,87626893,87670292,88181785,88897449,89288675,89724468,89792912,89900894,90129039,90199885,90675673,90836593,91064185,91239520,91299546,91337204,91905817,92621089,92791705,93427028,93826340,94221910,94230205,94517785,95760246,95955085,96228308,96674137,96816985,96933553,96934377,97434849,97895197,98529853,99786575,99910717,...,468161841878282036123422412082891503682972500962753089978746018444723431433233974585619034985124213091217387968936009335489922807471949549195727145558653054097778443914782246655910876571757424889345412395860810629773605780415154020032418393173767720826964702234940211625192429052655797319841019068840908275038156761689063624387881202182976281704526150230544706385592361575974723142976851559273171760645205063018617919925811244157974216143226077001915914246967157549273436020698625274529149286030556397764389791672060102691008563121543996270815698758130272652180034756863136715861382151355641567534033221091972341066729683471004376452466611883825925307370032528107636366467135164828971022052190839186096709783757110288464345047942556294013515934049402019929626228597441899283906845864714408822773609533732913320410174936233386282860189974165691946505031060151552347155077759854437342139693306747777891646384519594617235763379851647589017652494591360718681342628516164345770319836965975547338697018656322639683928198249260759725750493884186335909023677761085811761386018286894623776619478832844153070782912326337319291654959309409863211304784054466667137753414768076102646738334980221357359642746773326343451326411346496775925951152202737216453934099426913184123599962076390542032173635807186722989838394192395443325873070010760472037246104591016686557689864854344992426023513313007418813848108379859242004529583046966550009981942786524095705909990535622003112331348381183313477431077626344323633603697326443222353443682193266657147758652223324286770454405910081908999845927030730317992721412196418137617536152229804496161845483031927050859810360137419496850174341160857570590560007278251890240835692181150637073792476800832284497853095350550010192477671516670942047593751125842941401178352793034948288687310416698239633247864434691977589978783469632834858014483453217802495784502326207304733852390124125047231063487548395334206000188221780094865989741473200530842788851244133723660887804131945068187443676839034702873094643358896371667646648248439325083039224393463127879198288834711237463341272400292833077244936436197869317382998634020946974938754614606616411313276730799339797763003268427285922257270636529557775712711055766573389395477571026918256986516878353418476766094474478281301122971164515267224624913416661110804614990534094605467666049566263947652338173398665932248474519686041720252037212073347379032960052789562784188707672081707758472268318207462235325025057151031468215102467379241737421758666089096994940633461009257346705965756201938722813913724723955944086636898974927848150340341219347552873027298089618104576563122531249353479097909200606064102412476782716860147656040699805294227331214702764516623444571406772380394303485649070000772126727628253770486145696734696614632361608760043826400054623195711358122903402786054711333655637879128957337961103065839119798315030247090279740898528042381759273168321649957406384508249019333707412799502370878695378253128763019213683855142239119715473939644093734406382065504487501318435594800330257377974984588539088570812931223031997162467832852442819921582463024812717131168588988251676764785662550391659967087853047868268595697320784895321693524487772631392493247369816950393733352446435386734145684664829811115274037433823034120991778712335220286302341776202111491292875939987620763778246715304933612843539601468063763319165352218019131975749119663156664928163272110032947002442971170845994181958428749895810857269051704347625480013138546227573125344492724725766567280045463072785051136076848254062572159027147562112468952926386633567027285162279266601631020200845270077037506291102273355288406890993956182367616906140678235838176557072533863798491675795399502524240295852597785590131145848560089369407374211635991819909505785315762434260936126269969523538476540639337917678481079207792118524070412013881535618112496999904745896861960479101848264982131542245467657512444190574092878091697076037676671522963903787384746530825356631501690255229367412592507455120507817535346316539770865584247373743493339252238479715816812584816753351950594280662086922759698183670412022865444084024236119105066161311177010475805165010074025003836935830929615311993187780619330378333366699642727440041450167379525851773516099909511484519389475082534315082389330175290722195541981481740542119260393937487384431111783743240500170684443423157930269207485405225285845346591164248869790465900517300055241312015254587352963386189541966145293404062911102688054025320880359801560707402026733361712698057845894400267408590395482982746866450480254946232048292022515118614525016470543356093557995847795141827943050951669710185267104269552660930080838785535334615005940481024216211150396448269279516793364006257862586084511162105704570066616919497814}
30048  320620011285880278348832769629700357683613300863823660565336514547298115167143669843242: {570551,1020986,1110407,1769351,2666351,3024647,3123016,3513393,3721612,3799967,3919127,4954785,4990127,5285104,5405927,5880647,5945742,6295607,6828551,6963016,7315852,7357105,7442728,7833393,8373069,8828526,9130487,9836327,9979586,10336058,10510150,10692386,11244551,11619436,12414551,12612180,12715336,13054785,13289951,13452992,13537826,13639607,13814327,13925104,14151976,14163551,14304753,15014500,15134616,15197836,15311546,15383567,15665742,15920973,16137047,17026443,17435258,18017400,18216551,19022447,19218560,19367351,19424807,19482412,19892776,20269575,20572247,20801351,21620812,21620880,22002047,22239633,22287407,22379373,22721858,22778349,23044972,23062272,23313047,24160465,24165767,24323490,24506351,25016687,25179052,25696127,25945056,26019537,26543807,26769551,27558647,28233767,28325186,28730092,28992558,29188188,29636567,29916527,30068666,30140351,30978551,31363585,31480607,33164365,33197858,33689452,33822397,34091927,34514950,34931258,35473727,36245351,36315386,36740567,37063585,37070351,37290047,37636302,37893551,38042306,38732066,38962216,39043007,39287017,39797238,40079951,40109858,40842167,40896551,41417940,41494247,42172226,42524351,42763816,42794951,43119407,43544258,43659527,43832493,43906093,44144951,44179136,44269132,44476302,44737367,45543647,45612328,45758351,46026551,46427017,46508807,47210449,48109293,48111647,48164951,48317710,49009346,49282487,49331905,49701528,49701981,49760351,50291553,50726265,51286252,51313869,52087247,52613927,53197096,54085036,54108016,54764951,54784012,54817247,55548551,55618465,55790449,55884206,55914219,56017847,56124310,56538527,56850551,56983336,57137858,57981252,58199327,58354607,58820858,59157026,59169025,59198286,59439551,59491127,59846733,60871518,61803767,62264351,62722990,63030551,63246801,63336527,63514106,63744047,64049351,64100207,64106253,65014247,65115647,65267687,66324310,66742158,66784127,66902728,67288007,67316332,67349172,67374376,68042327,68511266,69025300,69395567,69845351,70474150,70780972,70832186,70923985,71002830,71010758,71141087,71473036,71786927,71886167,73488333,73519007,74110607,74307551,74831865,75044951,75265569,75267588,75486527,75619372,75731567,75736352,75796173,76025351,77197607,77504865,77538647,77684687,77688652,78568798,79454950,79589172,79673351,79820656,79834580,79894606,79920685,80108087,80445767,81678626,82032407,82330946,82607207,82671856,82750727,82830360,83276351,84039167,84568980,84934466,85108782,85132127,85179551,85203396,85249576,85293273,85583906,85606007,85939852,86126351,86440989,87587567,88352384,88499258,88532296,88681036,88713551,88994327,89368247,89695007,89798238,89938216,90113858,90206912,90765887,91402946,91598065,91724858,91925087,92710487,93005838,93011066,93184155,93284905,93999047,94274351,94315405,94414606,94675273,95088328,95345940,95600927,95801496,95904822,95905773,95920127,96195532,96216506,96959176,96966167,97283687,97510247,97691351,98098367,98369351,98517657,99396432,99598833,99599692,99675047,...,702242762817423054185133618124337255524458751444129634968119027667085147149850961878428552477686319636826081953404014003234884211207924323793590718337979581146667665872173369983866314857636137334018118593791215944660408670622731030048627589760651581240447053352410317437788643578983695979761528603261362412557235142533595436581821803274464422556789225345817059578388542363962084714465277338909757640967807594527926879888716866236961324214839115502873871370450736323910154031047937911793723929045834596646584687508090154036512844682315994406223548137195408978270052135294705073792073227033462351301049831637958511600094525206506564678699917825738887961055048792161454549700702747243456533078286258779145064675635665432696517571913834441020273901074103029894439342896162848925860268797071613234160414300599369980615262404350079424290284961248537919757546590227328520732616639781656013209539960121666837469576779391925853645069777471383526478741887041078022013942774246518655479755448963321008045527984483959525892297373891139588625740826279503863535516641628717642079027430341935664929218249266229606174368489505978937482438964114794816957176081700000706630122152114153970107502470332036039464120159989515176989617019745163888926728304105824680901149140369776185399943114585813048260453710780084484757591288593164988809605016140708055869156886525029836534797281517488639035269969511128220772162569788863006794374570449825014972914179786143558864985803433004668497022571774970216146616439516485450405545989664833530165523289899985721637978334986430155681608865122863499768890546095476989082118294627206426304228344706744242768224547890576289715540206129245275261511741286355885840010917377835361253538271725955610688715201248426746779643025825015288716507275006413071390626688764412101767529189552422433030965625047359449871796652037966384968175204449252287021725179826703743676753489310957100778585186187570846595231322593001309000282332670142298984612209800796264183276866200585491331706197917602281165515258552054309641965038344557501469972372658987624558836590194691818797433252066856195011908600439249615867404654296803976074497951031420462408131921909924616969915096199009696644504902640928883385905954794336663569066583649860084093216356540377385479775317530127715149141711717421951684456746772900836937370124991666206922485801141908201499074349395921478507260097998898372711779529062580378055818110021068549440079184344176283061508122561637708402477311193352987537585726547202322653701068862606132637999133645492410950191513886020058948634302908084220870587085933916129955348462391772225510511829021329309540947134427156864844683796874030218646863800909096153618715174075290221484061049707941340996822054146774935166857110158570591455228473605001158190091442380655729218545102044921948542413140065739600081934793567037184355104179082067000483456818693436006941654598758679697472545370635419611347792063572638909752482474936109576762373529000561119199253556318043067379693144528820525782713358679573210909466140601609573098256731251977653392200495386066962476882808632856219396834547995743701749278664229882373694537219075696752883482377515147178493825587489950631779571802402893545981177342982540286731658947088739871054725425590600028669653080101218526997244716672911056150734551181487668068502830429453512664303167236939313909981431145667370072957400419265309402202095644978748028327028697963623679494734997392244908165049420503664456756268991272937643124843716285903577556521438220019707819341359688016739087088649850920068194609177576704115272381093858238540721343168703429389579950350540927743418899902446530301267905115556259436653410032932610336490934273551425359211017353757264835608800795697737513693099253786360443778896678385196718772840134054111061317453987729864258677973643651391404189404954285307714810959006876517721618811688177786105618020822303427168745499857118845292940718652772397473197313368201486268666285861139317137545614056515007284445855681077119796238034947252535382844051118888761182680761726303019474809656298376371060615240008878357719573725218877225130027925891420993130384139547275505618034298166126036354178657599241966765515713707747515111037505755403746394422967989781670928995567500050049464091160062175251069288777660274149864267226779084212623801472623583995262936083293312972222610813178890590906231076646667675614860750256026665134736895403811228107837928768019886746373304685698850775950082861968022881881029445079284312949217940106094366654032081037981320539702341061103040100042569047086768841600401112885593224474120299675720382419348072438033772677921787524705815034140336993771692712741914576427504565277900656404328991395121258178303001922508910721536324316725594672403919275190046009386793879126766743158556855099925379246721}
30049  321616187359860736817876230390276114815787940108239505500504509216889143310455940313513: {60094,1531479,2732639,3903770,4624466,4652015,4684524,5582418,6092639,6512387,6606380,7927656,8703770,8918613,8973887,9144815,9303410,9694199,10444524,10833971,10973778,11125919,11164092,11771368,12184466,12382979,13242789,14524295,14969379,15186578,15504087,15765225,15894170,16038579,16816240,17347514,17406179,17406380,17429154,17689970,17946578,18323279,18768125,18918270,18997295,19073004,19387106,20179488,20306739,20658287,20887656,21227964,21921959,22521750,22701924,22796754,22967319,23361431,23498613,24023200,24353015,24865970,25520639,26034371,26152887,26774819,26960111,27026015,27026100,28806215,28827840,29223618,29652844,29653187,29839164,30371132,30749696,31008626,31473815,32171759,32431218,32431320,34082787,34091939,34567458,34593408,34648679,34692716,34960178,35912615,36485235,37179119,37418339,37768578,38656744,38917584,39910787,40414691,41804666,42111815,42406559,42487779,43095138,43488837,43782282,45102999,46166819,46547459,47226419,47344514,47912834,48702770,49796787,49860419,50181736,50441498,50534178,51604487,51772425,52396887,52997471,53062984,53454770,54413699,54473079,54795011,55223920,55336415,56454453,56547938,57015410,57063459,58098099,58443324,58539887,58567139,58636226,58749599,58952579,59301736,59695857,60164787,60547139,60983039,61966391,62126910,63258339,63300887,63397799,64107815,64145724,64231799,65316387,65913347,66268704,66269308,66403698,66496370,66714453,67055404,67161887,67606295,67635020,68418492,68480015,69843074,71229170,71764946,72321026,72337874,72476565,73514019,74552292,74593379,74897447,75001919,75975539,76704527,76929378,77188319,77308336,77465759,78695939,78931048,79795644,81127554,81162024,82176018,83202287,83256914,83628410,83826309,84145415,84186465,84217970,84329068,84510434,84593111,84839279,85475004,85706787,85722851,86281625,86971878,87907898,88231287,88476215,88735539,88797429,88989544,89111159,89336387,89341295,89362079,89798896,89972447,90273287,90681767,91307277,91786499,91851527,92498099,93670127,94084485,94524215,94670440,94755299,95271159,95457887,97110815,97984444,99486465,99775820,99793225,...,936323683756564072246844824165783007365945001925506179957492036889446862866467949171238069970248426182434775937872018670979845614943899098391454291117306108195556887829564493311821753143514849778690824791721621259547211560830308040064836786347535441653929404469880423250384858105311594639682038137681816550076313523378127248775762404365952563409052300461089412771184723151949446285953703118546343521290410126037235839851622488315948432286452154003831828493934315098546872041397250549058298572061112795528779583344120205382017126243087992541631397516260545304360069513726273431722764302711283135068066442183944682133459366942008752904933223767651850614740065056215272732934270329657942044104381678372193419567514220576928690095885112588027031868098804039859252457194883798567813691729428817645547219067465826640820349872466772565720379948331383893010062120303104694310155519708874684279386613495555783292769039189234471526759703295178035304989182721437362685257032328691540639673931951094677394037312645279367856396498521519451500987768372671818047355522171623522772036573789247553238957665688306141565824652674638583309918618819726422609568108933334275506829536152205293476669960442714719285493546652686902652822692993551851902304405474432907868198853826368247199924152781084064347271614373445979676788384790886651746140021520944074492209182033373115379729708689984852047026626014837627696216759718484009059166093933100019963885573048191411819981071244006224662696762366626954862155252688647267207394652886444706887364386533314295517304446648573540908811820163817999691854061460635985442824392836275235072304459608992323690966063854101719620720274838993700348682321715141181120014556503780481671384362301274147584953601664568995706190701100020384955343033341884095187502251685882802356705586069896577374620833396479266495728869383955179957566939265669716028966906435604991569004652414609467704780248250094462126975096790668412000376443560189731979482946401061685577702488267447321775608263890136374887353678069405746189286717792743335293296496878650166078448786926255758396577669422474926682544800585666154489872872395738634765997268041893949877509229213232822626553461598679595526006536854571844514541273059115551425422111533146778790955142053836513973033756706836953532188948956562602245942329030534449249826833322221609229981068189210935332099132527895304676346797331864496949039372083440504074424146694758065920105579125568377415344163415516944536636414924470650050114302062936430204934758483474843517332178193989881266922018514693411931512403877445627827449447911888173273797949855696300680682438695105746054596179236209153126245062498706958195818401212128204824953565433720295312081399610588454662429405529033246889142813544760788606971298140001544253455256507540972291393469393229264723217520087652800109246391422716245806805572109422667311275758257914675922206131678239596630060494180559481797056084763518546336643299914812769016498038667414825599004741757390756506257526038427367710284478239430947879288187468812764131008975002636871189600660514755949969177078177141625862446063994324935665704885639843164926049625434262337177976503353529571325100783319934175706095736537191394641569790643387048975545262784986494739633900787466704892870773468291369329659622230548074867646068241983557424670440572604683552404222982585751879975241527556493430609867225687079202936127526638330704436038263951498239326313329856326544220065894004885942341691988363916857499791621714538103408695250960026277092455146250688985449451533134560090926145570102272153696508125144318054295124224937905852773267134054570324558533203262040401690540154075012582204546710576813781987912364735233812281356471676353114145067727596983351590799005048480591705195571180262291697120178738814748423271983639819011570631524868521872252539939047076953081278675835356962158415584237048140824027763071236224993999809491793723920958203696529964263084490935315024888381148185756183394152075353343045927807574769493061650713263003380510458734825185014910241015635070692633079541731168494747486986678504476959431633625169633506703901188561324173845519396367340824045730888168048472238210132322622354020951610330020148050007673871661859230623986375561238660756666733399285454880082900334759051703547032199819022969038778950165068630164778660350581444391083962963481084238520787874974768862223567486481000341368886846315860538414970810450571690693182328497739580931801034600110482624030509174705926772379083932290586808125822205376108050641760719603121414804053466723425396115691788800534817180790965965493732900960509892464096584045030237229050032941086712187115991695590283655886101903339420370534208539105321860161677571070669230011880962048432422300792896538559033586728012515725172169022324211409140133233838995628}
30050  322615440557949881664065349061921273739948174522183950482369934074700174192694127429435: {90141,1110481,1141102,1829329,2008861,2041972,2220814,3084541,3538702,5332702,5855655,5940349,6049294,6246032,6936699,7026786,7443224,7599934,7838254,8257975,8373627,9909570,9980254,10299947,10570208,10811854,10893661,11245309,11761294,11891484,12123169,12473809,12591214,12999229,13055655,13657102,13698781,13926032,13955115,14631704,14714210,14885456,15442621,15666786,16460667,16746138,17005921,17657052,17871901,18044881,18260974,18276699,19426129,19672654,19959172,20672116,21020300,21384772,21660829,21757975,22489102,22779867,23238872,23841255,24224209,24829102,25075069,25224360,25430672,25584721,25754461,26021271,26109570,26143731,26534955,26579902,26771389,26905984,26919867,27075652,27279214,27628654,27850208,28303952,28327102,28377405,28609506,28797469,29080659,29974561,30029000,30269232,30395672,30623092,30767134,31331484,31841946,32274094,32318161,32485021,32651809,33782625,33817309,33824651,34052886,34195131,34870516,34979281,35641681,36034800,36433102,36798109,37066055,37127869,37292641,37298955,37951009,37963915,38044894,38115421,38437120,38734702,38849614,38964824,39591889,39785552,40539150,40736221,40899409,41144494,41388541,41551441,41602702,41714269,42039709,43241624,43241760,43365895,43835427,43909019,44004094,44479266,44574814,44758746,45443716,45556698,46083409,46089944,46124544,46430111,46512939,46626094,47047201,47207581,48168349,48320930,48331534,48646827,48646980,49012702,49285969,49604641,50033374,50358104,51392254,51668989,51851187,51889019,51890112,52039074,52440267,52617661,53087614,53539102,54821149,55117294,55794167,55917601,56073949,56467534,56650372,56652867,57460184,57477841,57985116,58255261,58376376,58410529,59273134,59495389,59833054,60137332,60280702,61346941,61732627,61957102,62575549,62706999,62727170,62961214,63493981,64104829,64642707,65673423,65778721,65934167,66328730,66395716,67378904,67644794,68047261,68183854,69029900,69064667,69400609,69862516,70947454,71016771,71196001,71869251,72490702,72630772,73054155,73425661,73481134,73573729,74127170,74140702,74165281,74580094,75272604,75492061,75662247,75787102,75801267,76079869,76084612,76226641,77464132,77865851,77924432,78086014,78574034,79594476,80159902,80182155,80219716,81606589,81684334,81793102,82835880,82836635,82988494,83819255,84344452,84543775,84821907,85048702,85185889,85523115,85527632,85589902,85612381,86238814,86321761,86605009,87088516,87319054,87664986,87812186,87954339,88289902,88358272,88538264,88579681,88720189,88952604,89474734,91087294,91224656,91516702,92053102,92854034,93017614,93178429,93190365,94420898,94556509,95516881,96200701,96218586,96223294,96329902,96635420,98018692,98241361,98564974,98663810,99293579,99403056,99403962,99520702,99605547,99744555,...,1404485525634846108370267236248674511048917502888259269936238055334170294299701923756857104955372639273652163906808028006469768422415848647587181436675959162293335331744346739967732629715272274668036237187582431889320817341245462060097255179521303162480894106704820634875577287157967391959523057206522724825114470285067190873163643606548928845113578450691634119156777084727924169428930554677819515281935615189055853759777433732473922648429678231005747742740901472647820308062095875823587447858091669193293169375016180308073025689364631988812447096274390817956540104270589410147584146454066924702602099663275917023200189050413013129357399835651477775922110097584322909099401405494486913066156572517558290129351271330865393035143827668882040547802148206059788878685792325697851720537594143226468320828601198739961230524808700158848580569922497075839515093180454657041465233279563312026419079920243333674939153558783851707290139554942767052957483774082156044027885548493037310959510897926642016091055968967919051784594747782279177251481652559007727071033283257435284158054860683871329858436498532459212348736979011957874964877928229589633914352163400001413260244304228307940215004940664072078928240319979030353979234039490327777853456608211649361802298280739552370799886229171626096520907421560168969515182577186329977619210032281416111738313773050059673069594563034977278070539939022256441544325139577726013588749140899650029945828359572287117729971606866009336994045143549940432293232879032970900811091979329667060331046579799971443275956669972860311363217730245726999537781092190953978164236589254412852608456689413488485536449095781152579431080412258490550523023482572711771680021834755670722507076543451911221377430402496853493559286051650030577433014550012826142781253377528824203535058379104844866061931250094718899743593304075932769936350408898504574043450359653407487353506978621914201557170372375141693190462645186002618000564665340284597969224419601592528366553732401170982663412395835204562331030517104108619283930076689115002939944745317975249117673180389383637594866504133712390023817200878499231734809308593607952148995902062840924816263843819849233939830192398019393289009805281857766771811909588673327138133167299720168186432713080754770959550635060255430298283423434843903368913493545801673874740249983332413844971602283816402998148698791842957014520195997796745423559058125160756111636220042137098880158368688352566123016245123275416804954622386705975075171453094404645307402137725212265275998267290984821900383027772040117897268605816168441741174171867832259910696924783544451021023658042658619081894268854313729689367593748060437293727601818192307237430348150580442968122099415882681993644108293549870333714220317141182910456947210002316380182884761311458437090204089843897084826280131479200163869587134074368710208358164134000966913637386872013883309197517359394945090741270839222695584127145277819504964949872219153524747058001122238398507112636086134759386289057641051565426717359146421818932281203219146196513462503955306784400990772133924953765617265712438793669095991487403498557328459764747389074438151393505766964755030294356987651174979901263559143604805787091962354685965080573463317894177479742109450851181200057339306160202437053994489433345822112301469102362975336137005660858907025328606334473878627819962862291334740145914800838530618804404191289957496056654057395927247358989469994784489816330098841007328913512537982545875286249687432571807155113042876440039415638682719376033478174177299701840136389218355153408230544762187716477081442686337406858779159900701081855486837799804893060602535810231112518873306820065865220672981868547102850718422034707514529671217601591395475027386198507572720887557793356770393437545680268108222122634907975459728517355947287302782808378809908570615429621918013753035443237623376355572211236041644606854337490999714237690585881437305544794946394626736402972537332571722278634275091228113030014568891711362154239592476069894505070765688102237777522365361523452606038949619312596752742121230480017756715439147450437754450260055851782841986260768279094551011236068596332252072708357315198483933531031427415495030222075011510807492788845935979563341857991135000100098928182320124350502138577555320548299728534453558168425247602945247167990525872166586625944445221626357781181812462153293335351229721500512053330269473790807622456215675857536039773492746609371397701551900165723936045763762058890158568625898435880212188733308064162075962641079404682122206080200085138094173537683200802225771186448948240599351440764838696144876067545355843575049411630068280673987543385425483829152855009130555801312808657982790242516356606003845017821443072648633451189344807838550380092018773587758253533486317113710199850758493442}
30051  323617780329788438795377204640482667978963369693097337754467485661826670695420023089045: {120188,1711653,2552465,3062958,3331221,3633509,5308053,5465278,6512821,7807540,7999053,9073941,9248932,9304030,9369048,9573509,10540179,10834693,11164836,11399901,11734301,11757381,12185278,12802741,13024774,13212760,14864355,14970381,15855312,16217781,17407540,17641941,17837226,17947774,18289630,18606820,18886821,19388398,20334013,20485653,20889048,21667942,21947556,22071315,22251838,22328184,23500179,23542736,24368932,24501013,24765958,24948965,25119207,25840145,26275375,26485578,26596213,26730965,27391461,28819429,29048590,29508981,29938758,30373156,30767893,31008174,31530450,31788340,32077158,33632480,33733653,33844565,34094221,34390501,34695028,34812358,34812760,34858308,35379940,35893156,36646558,37199261,37243653,37536250,37836421,37836540,37994590,38146008,38278865,38774212,39164355,39869853,40328701,40358976,40613478,40918821,41316574,41442981,41553133,41775312,42455928,42490653,42914259,43588145,43843918,44063341,45043500,45403848,45593508,45934638,46150701,46722862,46997226,47762919,48046400,48411141,48706030,49731940,50277661,51041278,51079329,52068742,52305774,53549638,53920222,54052030,54052200,54437213,54649653,54876701,56652469,56804645,56836901,57067341,57478241,57612430,57655680,58102053,58274421,58447236,58956541,59305688,59306374,59678328,60742264,60808725,60987121,61499392,61716741,62017252,62404053,62947630,64343518,64862436,64862640,66006141,66718899,66862221,67138119,67770061,68165574,68183878,68335047,69134916,69186816,69297358,69385432,69520421,69920356,69939141,70812965,71825230,72481395,72497301,72970470,73519053,73635581,74238613,74358238,74836678,75050061,75171665,75537156,77088381,77313488,77470981,77835168,78058611,78550981,79631421,79821574,80308653,80829382,82247429,82675941,82994645,83609332,84223630,84701301,84792413,84813118,84975558,85728589,86190276,86287375,86977674,87328145,87564564,87638609,88909701,89749581,89750941,90205998,90421053,90788465,91985069,92333638,92935653,93094918,94090755,94441821,94452838,94648813,94689028,95105765,95524981,95825668,95872021,96830165,97405540,99493095,99593574,99720838,99924113,...,2106728288452269162555400854373011766573376254332388904904357083001255441449552885635285657433058958910478245860212042009704652633623772971380772155013938743440002997616520109951598944572908412002054355781373647833981226011868193090145882769281954743721341160057230952313365930736951087939284585809784087237671705427600786309745465409823393267670367676037451178735165627091886254143395832016729272922903422783583780639666150598710883972644517346508621614111352208971730462093143813735381171787137503789939754062524270462109538534046947983218670644411586226934810156405884115221376219681100387053903149494913875534800283575619519694036099753477216663883165146376484363649102108241730369599234858776337435194026906996298089552715741503323060821703222309089683318028688488546777580806391214839702481242901798109941845787213050238272870854883745613759272639770681985562197849919344968039628619880365000512408730338175777560935209332414150579436225661123234066041828322739555966439266346889963024136583953451878577676892121673418765877222478838511590606549924886152926237082291025806994787654747798688818523105468517936812447316892344384450871528245100002119890366456342461910322507410996108118392360479968545530968851059235491666780184912317474042703447421109328556199829343757439144781361132340253454272773865779494966428815048422124167607470659575089509604391844552465917105809908533384662316487709366589020383123711349475044918742539358430676594957410299014005491067715324910648439849318549456351216637968994500590496569869699957164913935004959290467044826595368590499306671638286430967246354883881619278912685034120232728304673643671728869146620618387735825784535223859067657520032752133506083760614815177866832066145603745280240338929077475045866149521825019239214171880066293236305302587568657267299092896875142078349615389956113899154904525613347756861065175539480111231030260467932871302335755558562712539785693967779003927000846998010426896953836629402388792549830598601756473995118593752806843496545775656162928925895115033672504409917117976962873676509770584075456392299756200568585035725801317748847602213962890411928223493853094261387224395765729773850909745288597029089933514707922786650157717864383009990707199750949580252279649069621132156439325952590383145447425135152265855053370240318702510812110374974998620767457403425724604497223048187764435521780293996695118135338587187741134167454330063205648320237553032528849184524367684913125207431933580058962612757179641606967961103206587818397913997400936477232850574541658060176845902908724252662611761257801748389866045387175316676531535487063987928622841403281470594534051390622090655940591402727288460856145522225870664452183149123824022990466162440324805500571330475711774365685420815003474570274327141967187655635306134765845627239420197218800245804380701111553065312537246201001450370456080308020824963796276039092417636111906258834043376190717916729257447424808328730287120587001683357597760668954129202139079433586461577348140076038719632728398421804828719294770193755932960176601486158200887430648425898568658190503643987231105247835992689647121083611657227090258650447132545441535481476762469851895338715407208680637943532028947620860194976841266219613164176276771800086008959240303655580991734150018733168452203653544463004205508491288360537992909501710817941729944293437002110218872201257795928206606286934936244084981086093890871038484204992176734724495148261510993370268806973818812929374531148857710732669564314660059123458024079064050217261265949552760204583827532730112345817143281574715622164029506110288168739851051622783230256699707339590903803715346668778309960230098797831009472802820654276077633052061271794506826402387093212541079297761359081331336690035155590156318520402162333183952361963189592776033920930954174212568214862855923144432877020629553164856435064533358316854062466910281506236499571356535878822155958317192419591940104604458805998857583417951412636842169545021853337567043231359388714104841757606148532153356666283548042285178909058424428968895129113181845720026635073158721175656631675390083777674262979391152418641826516854102894498378109062535972797725900296547141123242545333112517266211239183268903969345012786986702500150148392273480186525753207866332980822449592801680337252637871404417870751985788808249879938916667832439536671772718693229940003026844582250768079995404210686211433684323513786304059660239119914057096552327850248585904068645643088335237852938847653820318283099962096243113943961619107023183309120300127707141260306524801203338656779673422360899027161147258044217314101318033765362574117445102421010981315078138225743729282513695833701969212986974185363774534909005767526732164608972950176784017211757825570138028160381637380300229475670565299776137740163}
30052  324623216153867078760191513278814219929788445941312404069915288244418632917847084699948: {150235,180282,690667,1230451,2220962,2282204,3658658,3919651,4017722,4083944,4441628,4594437,5169067,5347267,6169082,6947827,7077404,7834507,8197917,8719387,9249451,9759425,10665404,11363227,11538907,11561165,11711310,11880698,12098588,12416227,12492064,13873398,13956045,14053572,14165467,14886448,15199868,15385651,15676508,16515950,16747254,16775827,17642347,18277917,18852451,19197547,19537161,19819140,19960508,20599894,21090427,21140416,21623708,21759425,21787322,22490618,23258525,23522588,23657587,23782968,23998651,24246338,24947618,25182428,25998458,26111310,26755839,26921661,27055267,27314204,27397562,27434445,27852064,27910230,29082597,29263408,29428420,29584627,29770912,29920651,30461165,30885242,31333572,31596451,31930747,32501913,32921334,33265051,33377757,33492276,34011842,34096651,34428787,35314104,35743802,36089762,36250387,36521948,36553398,37148937,37405051,37966445,38852258,39345308,39728367,39735425,39918344,40357987,41011027,41344232,42040600,42313651,42638587,42769544,43125451,43321658,43368785,43515950,43572885,44224925,44258947,44420587,44866445,44908137,44978204,45559734,45872107,46033027,46477744,46512261,47295675,47682510,48115737,48448418,48467765,49076827,49658204,50150138,50448720,50861344,51169442,51461467,51508922,51892477,52042542,52218537,52219140,52287462,52726651,53069910,53149481,53159804,53199907,53515051,53542778,53811968,53839734,54151304,54558428,54969837,55257308,55700416,56304375,56607904,56654204,56754810,56991885,57219012,57594938,57896827,58161318,58673347,58983451,59949122,60058000,60538464,60712253,60791344,60920217,61246184,61534268,61736741,61974861,62164925,62375587,62662968,63141667,63683892,64058587,64548188,64636322,64970042,65125051,65303618,65765877,65938561,66339547,67398451,67565250,67634618,67649302,68105772,68390262,68901957,68995289,69741032,69955387,69958562,70084293,70495839,71283362,71896651,72069600,72866204,72956741,73059045,73596218,74132110,74255738,74585282,74597910,75154147,75902018,75927830,76089788,76230842,76561917,76874240,77469404,77521565,77699228,77793451,77929648,78103113,78458661,78958987,79183778,79571104,80324457,80880333,81078045,81078300,81472442,81798818,82140451,82288988,82777082,83102882,83205404,83428538,84079418,85713451,85997347,86418645,86483248,86483520,86731790,87130051,87400445,87670854,87818038,88008188,88820467,88958532,88959561,88960867,89149628,89517492,89661787,89941651,90887432,91113396,92031451,92166818,92179888,92249088,92724451,92860222,93025878,93252188,93829507,94094402,94415162,94421445,95067187,96336698,96515277,96571987,96641860,96663068,97293654,97293960,98025404,98571938,99209282,99824947,...,2808971051269692216740534472497349022097835005776518539872476110668340588599403847513714209910745278547304327813616056012939536844831697295174362873351918324586670663488693479935465259430544549336072474375164863778641634682490924120194510359042606324961788213409641269751154574315934783919046114413045449650228940570134381746327287213097857690227156901383268238313554169455848338857861109355639030563871230378111707519554867464947845296859356462011495485481802945295640616124191751647174895716183338386586338750032360616146051378729263977624894192548781635913080208541178820295168292908133849405204199326551834046400378100826026258714799671302955551844220195168645818198802810988973826132313145035116580258702542661730786070287655337764081095604296412119577757371584651395703441075188286452936641657202397479922461049617400317697161139844994151679030186360909314082930466559126624052838159840486667349878307117567703414580279109885534105914967548164312088055771096986074621919021795853284032182111937935838103569189495564558354502963305118015454142066566514870568316109721367742659716872997064918424697473958023915749929755856459179267828704326800002826520488608456615880430009881328144157856480639958060707958468078980655555706913216423298723604596561479104741599772458343252193041814843120337939030365154372659955238420064562832223476627546100119346139189126069954556141079878044512883088650279155452027177498281799300059891656719144574235459943213732018673988090287099880864586465758065941801622183958659334120662093159599942886551913339945720622726435460491453999075562184381907956328473178508825705216913378826976971072898191562305158862160824516981101046046965145423543360043669511341445014153086903822442754860804993706987118572103300061154866029100025652285562506755057648407070116758209689732123862500189437799487186608151865539872700817797009148086900719306814974707013957243828403114340744750283386380925290372005236001129330680569195938448839203185056733107464802341965326824791670409124662061034208217238567860153378230005879889490635950498235346360778767275189733008267424780047634401756998463469618617187215904297991804125681849632527687639698467879660384796038786578019610563715533543623819177346654276266334599440336372865426161509541919101270120510860596566846869687806737826987091603347749480499966664827689943204567632805996297397583685914029040391995593490847118116250321512223272440084274197760316737376705132246032490246550833609909244773411950150342906188809290614804275450424530551996534581969643800766055544080235794537211632336883482348343735664519821393849567088902042047316085317238163788537708627459378735187496120874587455203636384614474860696301160885936244198831765363987288216587099740667428440634282365820913894420004632760365769522622916874180408179687794169652560262958400327739174268148737420416716328268001933827274773744027766618395034718789890181482541678445391168254290555639009929899744438307049494116002244476797014225272172269518772578115282103130853434718292843637864562406438292393026925007910613568801981544267849907531234531424877587338191982974806997114656919529494778148876302787011533929510060588713975302349959802527118287209611574183924709371930161146926635788354959484218901702362400114678612320404874107988978866691644224602938204725950672274011321717814050657212668947757255639925724582669480291829601677061237608808382579914992113308114791854494717978939989568979632660197682014657827025075965091750572499374865143614310226085752880078831277365438752066956348354599403680272778436710306816461089524375432954162885372674813717558319801402163710973675599609786121205071620462225037746613640131730441345963737094205701436844069415029059342435203182790950054772397015145441775115586713540786875091360536216444245269815950919457034711894574605565616757619817141230859243836027506070886475246752711144422472083289213708674981999428475381171762874611089589892789253472805945074665143444557268550182456226060029137783422724308479184952139789010141531376204475555044730723046905212077899238625193505484242460960035513430878294900875508900520111703565683972521536558189102022472137192664504145416714630396967867062062854830990060444150023021614985577691871959126683715982270000200197856364640248701004277155110641096599457068907116336850495205890494335981051744333173251888890443252715562363624924306586670702459443001024106660538947581615244912431351715072079546985493218742795403103800331447872091527524117780317137251796871760424377466616128324151925282158809364244412160400170276188347075366401604451542372897896481198702881529677392289752135090711687150098823260136561347975086770850967658305710018261111602625617315965580485032713212007690035642886145297266902378689615677100760184037547175516507066972634227420399701516986884}
30053  325631757537613982073787841111818966178415919804195953095881267076968404883467155606707: {240376,270423,2852755,3331443,3423306,3573451,4294147,5104930,5487987,5552035,6026583,6125916,6662442,7267018,8846755,9253623,9574147,10233751,10616106,10930556,11314147,11735083,13025642,13114807,13331755,15123235,15615080,15998106,17483587,17566965,17821047,18147882,18497864,18608060,18738096,18999835,19147018,19458967,19595635,20810097,21080358,21669386,22329672,22799802,23468602,23514762,23961211,24370556,24773925,24950635,25120881,25605482,26049548,26425520,27014683,27029635,27352567,28279627,29403235,29728710,29940762,30899841,31478035,31710624,32411623,32435562,32680983,33735927,34142755,34815080,34928551,35283882,35649787,35674452,35895548,36176203,36369507,36579260,36785525,37213640,37421427,37423351,37773642,38776796,38997687,39166965,40668026,40971306,41096343,41778096,41865345,43335884,43895112,43962763,44142630,44503676,44656368,45309811,45652435,46327863,47000358,47085472,47382391,48737864,48923047,49002026,49181635,49382001,49531916,49897930,50238414,51017763,51680290,52550750,52971156,53192426,53461930,53573047,53590411,53615703,54134643,54782922,54830097,55454731,56222755,57168823,57638858,58097180,58278387,58800247,59017962,59877516,60746312,60841591,61023403,61535786,62016348,62072755,62716951,63060900,63576680,64154316,64240387,64854283,64982487,65100907,65273925,66179431,66449755,67170883,67264960,67467306,67689130,68188442,68198035,68339601,68781002,69071635,69390056,69624716,69625520,69716616,70759880,70817755,70897063,71523765,71786312,72672627,73146007,73293116,74398522,74487306,75011947,75072500,75225207,75672842,75673080,75989180,76292016,76557730,76754163,76917835,77263383,77548424,77754283,78063813,78328710,78352087,78431193,79526503,79604865,79739706,79747051,80314167,80657402,80685235,80717952,80759601,81226956,81837642,82633148,82778083,82885962,83043031,83106266,83550624,84121123,84184651,84911856,84981306,85132215,85828518,86392407,87176290,87241977,87687836,87827083,88126682,89374027,89923683,90087000,90807696,91082755,91187016,91869276,91991251,92301402,92639767,92832451,93445724,93682651,93994452,94767991,95112235,95525838,96092800,96822282,96836755,96954483,97124035,97201507,97412060,97455063,97955427,98549611,99138151,99463880,...,4213456576904538325110801708746023533146752508664777809808714166002510882899105771270571314866117917820956491720424084019409305267247545942761544310027877486880005995233040219903197889145816824004108711562747295667962452023736386180291765538563909487442682320114461904626731861473902175878569171619568174475343410855201572619490930819646786535340735352074902357470331254183772508286791664033458545845806845567167561279332301197421767945289034693017243228222704417943460924186287627470762343574275007579879508125048540924219077068093895966437341288823172453869620312811768230442752439362200774107806298989827751069600567151239039388072199506954433327766330292752968727298204216483460739198469717552674870388053813992596179105431483006646121643406444618179366636057376977093555161612782429679404962485803596219883691574426100476545741709767491227518545279541363971124395699838689936079257239760730001024817460676351555121870418664828301158872451322246468132083656645479111932878532693779926048273167906903757155353784243346837531754444957677023181213099849772305852474164582051613989575309495597377637046210937035873624894633784688768901743056490200004239780732912684923820645014821992216236784720959937091061937702118470983333560369824634948085406894842218657112399658687514878289562722264680506908545547731558989932857630096844248335214941319150179019208783689104931834211619817066769324632975418733178040766247422698950089837485078716861353189914820598028010982135430649821296879698637098912702433275937989001180993139739399914329827870009918580934089653190737180998613343276572861934492709767763238557825370068240465456609347287343457738293241236775471651569070447718135315040065504267012167521229630355733664132291207490560480677858154950091732299043650038478428343760132586472610605175137314534598185793750284156699230779912227798309809051226695513722130351078960222462060520935865742604671511117125425079571387935558007854001693996020853793907673258804777585099661197203512947990237187505613686993091551312325857851790230067345008819834235953925747353019541168150912784599512401137170071451602635497695204427925780823856446987706188522774448791531459547701819490577194058179867029415845573300315435728766019981414399501899160504559298139242264312878651905180766290894850270304531710106740480637405021624220749949997241534914806851449208994446096375528871043560587993390236270677174375482268334908660126411296640475106065057698369048735369826250414863867160117925225514359283213935922206413175636795827994801872954465701149083316120353691805817448505325223522515603496779732090774350633353063070974127975857245682806562941189068102781244181311881182805454576921712291044451741328904366298247648045980932324880649611001142660951423548731370841630006949140548654283934375311270612269531691254478840394437600491608761402223106130625074492402002900740912160616041649927592552078184835272223812517668086752381435833458514894849616657460574241174003366715195521337908258404278158867172923154696280152077439265456796843609657438589540387511865920353202972316401774861296851797137316381007287974462210495671985379294242167223314454180517300894265090883070962953524939703790677430814417361275887064057895241720389953682532439226328352553543600172017918480607311161983468300037466336904407307088926008411016982576721075985819003421635883459888586874004220437744402515591856413212573869872488169962172187781742076968409984353469448990296523021986740537613947637625858749062297715421465339128629320118246916048158128100434522531899105520409167655065460224691634286563149431244328059012220576337479702103245566460513399414679181807607430693337556619920460197595662018945605641308552155266104122543589013652804774186425082158595522718162662673380070311180312637040804324666367904723926379185552067841861908348425136429725711846288865754041259106329712870129066716633708124933820563012472999142713071757644311916634384839183880209208917611997715166835902825273684339090043706675134086462718777428209683515212297064306713332567096084570357818116848857937790258226363691440053270146317442351313263350780167555348525958782304837283653033708205788996756218125071945595451800593094282246485090666225034532422478366537807938690025573973405000300296784546960373051506415732665961644899185603360674505275742808835741503971577616499759877833335664879073343545437386459880006053689164501536159990808421372422867368647027572608119320478239828114193104655700497171808137291286176670475705877695307640636566199924192486227887923238214046366618240600255414282520613049602406677313559346844721798054322294516088434628202636067530725148234890204842021962630156276451487458565027391667403938425973948370727549069818011535053464329217945900353568034423515651140276056320763274760600458951341130599552275480326}
30054  326643414017482668770525209047003898136908522555415164584643910422227045851363339677684: {210329,300470,360564,1230533,1290473,1381334,2128793,2460902,3204329,3800729,4098629,4441924,4564408,5134959,5169413,5407013,5703833,7317316,7480553,7657395,7839302,8035444,8167888,8719973,8883256,9188874,9308933,9838313,9993663,10014629,10338134,10694534,10900527,11363993,12338164,12475493,13117673,13663195,13817129,13895654,14154808,14399129,15444713,15669014,15924159,16185631,16395834,16834793,17438774,17701253,18162629,18498902,18565913,18911273,19198853,19518850,19538463,20289833,21320729,21330808,21778073,22006553,22177829,22726454,23077814,23122330,23260075,23422620,23716073,23761396,23997159,24057113,24197176,24832454,24908453,24984128,25191833,25701413,25871129,26436329,27221823,27733253,27746796,27912090,28107144,28330934,28408229,28720527,28801433,29642693,29772896,29922713,29978693,30399736,30463195,30771302,31353016,31620537,31654373,32504079,32561935,33031900,33322853,33494508,33551654,34199703,34265129,35094629,35202903,35272143,35284694,35646629,36555834,36913193,37407653,37462553,37704902,38395094,38408223,39074322,39215129,39638280,39921016,40741913,40850729,41013893,41199788,41394329,41502953,42180854,42280832,42316613,42370793,42645631,43247416,43518850,43574644,44593065,44869435,44911143,44981236,45714329,45724075,46089893,46517050,47045176,47315174,47321129,47565936,47997302,48470995,48492676,48653343,49452329,49895236,50248229,50364856,51996916,52222620,52730393,52783013,52925823,53153023,53511678,53843322,54110534,54169855,54305513,54628408,54795124,54868890,55403813,55629595,55704128,55820460,56029829,56186153,56660463,56810729,57486053,58165194,58367129,58526816,58856840,58987673,59039333,59169254,59541824,59658629,59841302,60070853,60276773,60716299,60922330,61002039,61355753,61456959,61458329,61770484,61914895,62226629,62584553,62667144,62813023,63192902,63350213,63503129,63861494,64114073,65003826,65281829,65842668,65889413,66213945,66530102,66755514,66949913,66984552,67302629,67854871,68023684,68193302,68207813,68857574,68960153,68999887,70500537,70628208,71487604,71802629,72179524,72500774,72546329,72621475,72793829,72961603,73043896,73106796,73503039,73535129,73683173,74297874,74810102,74846895,75357621,75748229,75932890,76335653,77360873,77520435,77701829,77704516,78690616,78826125,79400729,79456734,79470850,79788639,79836688,80192895,80270633,80715974,81426473,81539887,81714713,82022054,82050629,82174383,82625573,82688464,82769129,84081200,84627302,85056233,85277174,85539088,85719833,86221603,86250902,86429093,86458287,86643316,86737570,87030895,87031900,87145770,87183653,87607193,88449850,88517894,88526943,88827113,88841174,89014313,89294873,89715173,89732890,89816274,89948393,89956408,89995013,90786329,90925733,91119468,91616395,91744214,91945829,92066054,92084633,92303679,92955488,93024522,93840625,93882533,94249829,94591350,94986475,95365020,95622629,95759513,95941913,96078629,96231474,96896836,96935530,97441829,98153654,98256293,98887973,99316408,99607973,99832553,...,6320184865356807487666202563119035299720128762997166714713071249003766324348658656905856972299176876731434737580636126029113957900871318914142316465041816230320008992849560329854796833718725236006163067344120943501943678035604579270437648307845864231164023480171692856940097792210853263817853757429352261713015116282802358929236396229470179803011103028112353536205496881275658762430187496050187818768710268350751341918998451796132651917933552039525864842334056626915191386279431441206143515361412511369819262187572811386328615602140843949656011933234758680804430469217652345664128659043301161161709448484741626604400850726858559082108299260431649991649495439129453090947306324725191108797704576329012305582080720988894268658147224509969182465109666927269049954086065465640332742419173644519107443728705394329825537361639150714818612564651236841277817919312045956686593549758034904118885859641095001537226191014527332682805627997242451738308676983369702198125484968218667899317799040669889072409751860355635733030676365020256297631667436515534771819649774658458778711246873077420984362964243396066455569316405553810437341950677033153352614584735300006359671099369027385730967522232988324355177081439905636592906553177706475000340554736952422128110342263327985668599488031272317434344083397020760362818321597338484899286445145266372502822411978725268528813175533657397751317429725600153986949463128099767061149371134048425134756227618075292029784872230897042016473203145974731945319547955648369053649913906983501771489709609099871494741805014877871401134479786105771497920014914859292901739064651644857836738055102360698184914020931015186607439861855163207477353605671577202972560098256400518251281844445533600496198436811235840721016787232425137598448565475057717642515640198879708915907762705971801897278690625426235048846169868341697464713576840043270583195526618440333693090781403798613907007266675688137619357081903337011781002540994031280690861509888207166377649491795805269421985355781258420530489637326968488786777685345101017513229751353930888621029529311752226369176899268601705755107177403953246542806641888671235784670481559282784161673187297189321552729235865791087269800544123768359950473153593149029972121599252848740756838947208863396469317977857771149436342275405456797565160110720956107532436331124924995862302372210277173813491669144563293306565340881990085354406015761563223402502362990189616944960712659097586547553573103054739375622295800740176887838271538924820903883309619763455193741992202809431698551723624974180530537708726172757987835283773405245169598136161525950029594606461191963785868524209844411783602154171866271967821774208181865382568436566677611993356549447371472068971398487320974416501713991427135323097056262445010423710822981425901562966905918404297536881718260591656400737413142103334659195937611738603004351111368240924062474891388828117277252908335718776502130128572153750187772342274424986190861361761005050072793282006862387606417238300759384732044420228116158898185195265414486157884310581267798880529804458474602662291945277695705974571510931961693315743507978068941363250834971681270775951341397636324606444430287409555686016146221626041913830596086842862580584930523798658839492528830315400258026877720910966742975202450056199505356610960633389012616525473865081613978728505132453825189832880311006330656616603773387784619818860804808732254943258281672613115452614976530204173485444784532980110806420921456438788123593446573132198008692943980177370374072237192150651783797848658280613751482598190337037451429844724146866492088518330864506219553154868349690770099122018772711411146040006334929880690296393493028418408461962828232899156183815383520479207161279637623237893284077243994010070105466770468955561206486999551857085889568778328101762792862522637704644588567769433298631061888659494569305193600074950562187400730844518709498714069607636466467874951577258775820313813376417996572750253854237910526508635065560012701129694078166142314525272818445596460069998850644126855536727175273286906685387339545537160079905219476163526969895026170251333022788938173457255925479550562308683495134327187607918393177700889641423369727635999337551798633717549806711908035038360960107500450445176820440559577259623598998942467348778405041011757913614213253612255957366424749639816750003497318610015318156079689820009080533746752304239986212632058634301052970541358912178980717359742171289656983550745757712205936929265005713558816542961460954849299886288729341831884857321069549927360900383121423780919574403610015970339020267082697081483441774132651942303954101296087722352335307263032943945234414677231187847541087501105907638960922556091323604727017302580196493826918850530352051635273476710414084481144912140900688427011695899328413220489}
30055  327658195159040092974336446612569956022419832382515741364684182936894405261190747756602: {450705,480752,540846,2072001,3691353,3993857,5074901,5552405,5705510,6662886,6846612,7146902,7772849,8588294,9146645,10044305,10209860,10234433,10975974,11104070,11314901,11758953,12053166,12094433,12251832,12385457,13115681,13324884,13783311,14534036,15422705,15507201,16041801,17693510,18507246,18664457,19148294,20118593,20467502,20662421,20843481,21172529,21232212,21861112,22628294,22996961,23470166,23503521,24593751,26051284,26158161,26229614,26599769,26663510,26780177,27433889,27748353,29278275,29659121,29701745,30192881,30246470,31230160,31953449,31996212,32178197,32325761,34089681,34616721,34683495,34930889,34967174,35133930,35642094,36295764,36995728,37216120,37248681,37388801,37476192,37841489,37999670,38108393,38294036,38917934,39191270,40234937,41164529,41289875,41620194,41794049,41868135,42160716,42496401,43338772,44069249,44659344,45599604,46156953,46937204,47029524,47799857,47922422,48741112,49547850,49901270,50241762,50301161,50327481,50640377,51210964,51499735,52099096,52851040,52927041,53576633,54029366,54059270,54468305,54705134,54833751,56226545,56557353,56559254,57592641,58210337,58611483,58806470,59457233,59457420,59881524,60615845,61799682,61978817,62369045,62956070,63271281,63313601,63373673,63421248,63913409,64823246,64871124,64996145,65278275,65361966,65400497,67471854,68276561,68285510,68493905,68608577,68854289,69242393,69491201,69630160,69775575,69857102,70567764,70972761,71299574,71348904,71791096,71995953,72352406,72739014,73158520,73571050,74120033,74427280,74842854,74846702,75547284,77213105,77553592,77995374,78333930,78670769,78711857,79007753,79752389,80267517,80764983,81165801,81336052,81942612,82192686,82264409,82303335,83556192,83730690,85029605,85858049,86445281,86671768,86901857,87247791,87790224,87925526,88285260,88753881,89007352,89129057,89312736,89359505,89761953,89990489,90224405,90619622,91304870,91383495,92516681,92597921,92645993,92655726,93029657,94000716,94170944,94567637,94764782,94789353,95477249,95537753,95792241,96700289,97130645,97475728,97505739,97846094,98004052,98159681,98363270,98764002,99063832,99144857,99234689,99795153,99795860,...,8426913153809076650221603417492047066293505017329555619617428332005021765798211542541142629732235835641912983440848168038818610534495091885523088620055754973760011990466080439806395778291633648008217423125494591335924904047472772360583531077127818974885364640228923809253463722947804351757138343239136348950686821710403145238981861639293573070681470704149804714940662508367545016573583328066917091691613691134335122558664602394843535890578069386034486456445408835886921848372575254941524687148550015159759016250097081848438154136187791932874682577646344907739240625623536460885504878724401548215612597979655502139201134302478078776144399013908866655532660585505937454596408432966921478396939435105349740776107627985192358210862966013292243286812889236358733272114753954187110323225564859358809924971607192439767383148852200953091483419534982455037090559082727942248791399677379872158514479521460002049634921352703110243740837329656602317744902644492936264167313290958223865757065387559852096546335813807514310707568486693675063508889915354046362426199699544611704948329164103227979150618991194755274092421874071747249789267569377537803486112980400008479561465825369847641290029643984432473569441919874182123875404236941966667120739649269896170813789684437314224799317375029756579125444529361013817091095463117979865715260193688496670429882638300358038417567378209863668423239634133538649265950837466356081532494845397900179674970157433722706379829641196056021964270861299642593759397274197825404866551875978002361986279478799828659655740019837161868179306381474361997226686553145723868985419535526477115650740136480930913218694574686915476586482473550943303138140895436270630080131008534024335042459260711467328264582414981120961355716309900183464598087300076956856687520265172945221210350274629069196371587500568313398461559824455596619618102453391027444260702157920444924121041871731485209343022234250850159142775871116015708003387992041707587815346517609555170199322394407025895980474375011227373986183102624651715703580460134690017639668471907851494706039082336301825569199024802274340142903205270995390408855851561647712893975412377045548897583062919095403638981154388116359734058831691146600630871457532039962828799003798321009118596278484528625757303810361532581789700540609063420213480961274810043248441499899994483069829613702898417988892192751057742087121175986780472541354348750964536669817320252822593280950212130115396738097470739652500829727734320235850451028718566427871844412826351273591655989603745908931402298166632240707383611634897010650447045031206993559464181548701266706126141948255951714491365613125882378136205562488362623762365610909153843424582088903482657808732596495296091961864649761299222002285321902847097462741683260013898281097308567868750622541224539063382508957680788875200983217522804446212261250148984804005801481824321232083299855185104156369670544447625035336173504762871666917029789699233314921148482348006733430391042675816516808556317734345846309392560304154878530913593687219314877179080775023731840706405944632803549722593703594274632762014575948924420991343970758588484334446628908361034601788530181766141925907049879407581354861628834722551774128115790483440779907365064878452656705107087200344035836961214622323966936600074932673808814614177852016822033965153442151971638006843271766919777173748008440875488805031183712826425147739744976339924344375563484153936819968706938897980593046043973481075227895275251717498124595430842930678257258640236493832096316256200869045063798211040818335310130920449383268573126298862488656118024441152674959404206491132921026798829358363615214861386675113239840920395191324037891211282617104310532208245087178027305609548372850164317191045436325325346760140622360625274081608649332735809447852758371104135683723816696850272859451423692577731508082518212659425740258133433267416249867641126024945998285426143515288623833268769678367760418417835223995430333671805650547368678180087413350268172925437554856419367030424594128613426665134192169140715636233697715875580516452727382880106540292634884702626526701560335110697051917564609674567306067416411577993512436250143891190903601186188564492970181332450069064844956733075615877380051147946810000600593569093920746103012831465331923289798371206721349010551485617671483007943155232999519755666671329758146687090874772919760012107378329003072319981616842744845734737294055145216238640956479656228386209311400994343616274582572353340951411755390615281273132399848384972455775846476428092733236481200510828565041226099204813354627118693689443596108644589032176869256405272135061450296469780409684043925260312552902974917130054783334807876851947896741455098139636023070106928658435891800707136068847031302280552112641526549521200917902682261199104550960652}
30056  328676110557055003282533506744528648192598471240018827734498669605909805263341853107449: {420658,600940,721128,811269,1290559,2009263,2188759,2461066,2580946,2762668,2906023,3264223,4158463,4257586,4921804,5763559,6408658,6652759,7601458,8197258,8558265,8883848,9128816,9994329,10269918,10338826,10720353,10814026,11071759,11407666,12762325,12882441,13526743,14400103,14634632,14961106,15314790,15678604,16070888,16335776,16463961,16656105,17439946,17766512,18048559,18079749,18167545,18221503,18377748,18617866,19128473,19676626,19774759,19987326,20029258,20676268,20807023,21389068,21801054,22521703,22727986,23034703,24676328,24950986,25589983,25759759,26235346,26540265,26776903,27326390,27634258,27760869,27791308,28309616,28722441,28798258,28971823,29980759,30148663,30701253,30889426,31338028,31848318,32371262,32491759,32564105,32658583,32791668,33669586,33942441,34877548,34986559,35205249,35402506,35979943,36325258,36997804,37131826,37300423,37465159,37822546,38123383,38397706,39037700,39076926,39344421,39995265,40091143,40579666,40907983,41560159,41723023,42373759,42641458,42648473,42661616,43556146,43995559,44013106,44355658,44965183,45369705,45452908,45586709,45771223,46155628,46244660,46253983,46520150,46845240,47217559,47377903,47432146,47522792,47867545,47994318,48114226,48394352,49455823,49664908,49774423,49816906,49968256,50251783,50383666,51402826,51742258,52450761,52700895,52786759,52872658,53463141,54173465,54361759,54443646,55466506,55493592,55773103,55824180,56085943,56214288,56661868,56816458,56866783,56999505,57441054,57602866,58376901,58423063,58671505,58786905,59043559,59285386,59545792,59662903,59845426,59957386,60799472,60926390,61542604,62282263,62430291,62706032,62817209,63241074,63308746,63660559,64013705,65008158,65123870,65944759,66063800,66645706,66989016,67103308,67859393,68212759,68399406,68530258,70189258,70405806,70544286,70569388,71293258,71883633,72551623,72848623,73111668,73589863,73826386,74321775,74329303,74815306,74851905,74925106,75362643,75409804,75837797,76243423,76390159,76790188,76816446,77881433,78148644,78430258,79276560,79842032,80035159,81044049,81088905,81483826,81545321,81701458,82027786,82057701,82399576,82788658,83005906,83520613,83778223,84361708,84561664,84633226,84741586,84838881,85062559,85291262,86227349,86341063,86494832,86680853,87037700,87149288,88209705,88740103,89186130,89301559,89738870,89822286,89962472,90001759,91428658,91448150,92179786,92699523,92922943,93034100,93337663,94090352,94302823,94434105,94630348,94642258,95131872,95401543,95404969,95994604,96365321,96941990,96985352,97234869,97306686,97721023,98042949,98399263,98904658,99615559,99790472,...,12640369730713614975332405126238070599440257525994333429426142498007532648697317313811713944598353753462869475161272252058227915801742637828284632930083632460640017985699120659709593667437450472012326134688241887003887356071209158540875296615691728462328046960343385713880195584421706527635707514858704523426030232565604717858472792458940359606022206056224707072410993762551317524860374992100375637537420536701502683837996903592265303835867104079051729684668113253830382772558862882412287030722825022739638524375145622772657231204281687899312023866469517361608860938435304691328257318086602322323418896969483253208801701453717118164216598520863299983298990878258906181894612649450382217595409152658024611164161441977788537316294449019938364930219333854538099908172130931280665484838347289038214887457410788659651074723278301429637225129302473682555635838624091913373187099516069808237771719282190003074452382029054665365611255994484903476617353966739404396250969936437335798635598081339778144819503720711271466061352730040512595263334873031069543639299549316917557422493746154841968725928486792132911138632811107620874683901354066306705229169470600012719342198738054771461935044465976648710354162879811273185813106355412950000681109473904844256220684526655971337198976062544634868688166794041520725636643194676969798572890290532745005644823957450537057626351067314795502634859451200307973898926256199534122298742268096850269512455236150584059569744461794084032946406291949463890639095911296738107299827813967003542979419218199742989483610029755742802268959572211542995840029829718585803478129303289715673476110204721396369828041862030373214879723710326414954707211343154405945120196512801036502563688891067200992396873622471681442033574464850275196897130950115435285031280397759417831815525411943603794557381250852470097692339736683394929427153680086541166391053236880667386181562807597227814014533351376275238714163806674023562005081988062561381723019776414332755298983591610538843970711562516841060979274653936977573555370690202035026459502707861777242059058623504452738353798537203411510214354807906493085613283777342471569340963118565568323346374594378643105458471731582174539601088247536719900946307186298059944243198505697481513677894417726792938635955715542298872684550810913595130320221441912215064872662249849991724604744420554347626983338289126586613130681763980170708812031523126446805004725980379233889921425318195173095107146206109478751244591601480353775676543077849641807766619239526910387483984405618863397103447249948361061075417452345515975670567546810490339196272323051900059189212922383927571737048419688823567204308343732543935643548416363730765136873133355223986713098894742944137942796974641948833003427982854270646194112524890020847421645962851803125933811836808595073763436521183312801474826284206669318391875223477206008702222736481848124949782777656234554505816671437553004260257144307500375544684548849972381722723522010100145586564013724775212834476601518769464088840456232317796370390530828972315768621162535597761059608916949205324583890555391411949143021863923386631487015956137882726501669943362541551902682795272649212888860574819111372032292443252083827661192173685725161169861047597317678985057660630800516053755441821933485950404900112399010713221921266778025233050947730163227957457010264907650379665760622012661313233207546775569239637721609617464509886516563345226230905229953060408346970889569065960221612841842912877576247186893146264396017385887960354740748144474384301303567595697316561227502965196380674074902859689448293732984177036661729012439106309736699381540198244037545422822292080012669859761380592786986056836816923925656465798312367630767040958414322559275246475786568154487988020140210933540937911122412973999103714171779137556656203525585725045275409289177135538866597262123777318989138610387200149901124374801461689037418997428139215272932935749903154517551640627626752835993145500507708475821053017270131120025402259388156332284629050545636891192920139997701288253711073454350546573813370774679091074320159810438952327053939790052340502666045577876346914511850959101124617366990268654375215836786355401779282846739455271998675103597267435099613423816070076721920215000900890353640881119154519247197997884934697556810082023515827228426507224511914732849499279633500006994637220030636312159379640018161067493504608479972425264117268602105941082717824357961434719484342579313967101491515424411873858530011427117633085922921909698599772577458683663769714642139099854721800766242847561839148807220031940678040534165394162966883548265303884607908202592175444704670614526065887890468829354462375695082175002211815277921845112182647209454034605160392987653837701060704103270546953420828168962289824281801376854023391798656826440978}
30057  329697169835586569760290816608475437558538636535626584413337253071612630749910054802183: {630987,751175,901410,961504,1081692,3453335,3691599,3871419,4144002,5615423,6152255,6386379,7382706,7773367,7987714,9612987,10149802,11104810,11402187,11411020,12095239,12295887,12805303,13325772,13693224,14062027,14293804,14795423,15404877,15508239,15545698,15875819,16221039,17111499,17176588,18293290,19598255,20088610,20419720,20468866,21591787,21951948,22208140,22441659,22629802,22972185,23517906,23776519,24106332,24188866,24503664,24770914,25845335,26159919,26231362,26649768,26736335,27566622,27926799,29068072,29514939,29980989,30043887,30845410,31014402,32083602,32701581,34091979,34397383,34739135,35387020,37014492,37328914,37426479,37763167,38296588,39172535,39353019,39967339,40237186,40935004,40989585,41046727,41324842,41451387,41582443,41686962,42345058,42464424,43197387,43596935,43722224,44968459,45256588,45993922,46247255,46334139,46940332,47007042,47772477,48556893,48797125,49187502,49392967,50504379,52102568,52316322,52459228,53103759,53199538,53327020,53560354,54487887,54867778,54887723,55496706,55697739,56733819,56816135,56848319,57489767,57596559,57694535,57805825,58556550,58615389,58808123,59318242,59403490,60385762,60492940,60869499,62081135,62224843,62460320,63317839,63906898,63962187,63992424,64356394,64651522,65334219,66019659,66533487,67617463,68179362,69233442,69366990,69780225,69861778,69934348,70267639,70267860,70827335,71148219,71284188,71991477,72099629,72171339,72591528,73340203,73650347,73991456,74432240,74458043,74497362,74725359,74777602,74896159,74952384,75575499,75682978,75999340,76216786,76255627,76588072,76928255,77104239,77613387,77764679,77835868,78382540,78717163,79308987,80469874,80886847,81665469,81831919,82329058,82579750,83199759,83240388,83588098,83736270,83879135,84213503,84321432,84809447,84862183,84992802,85224687,86161581,86277307,86404299,86677544,87316663,87656183,87838847,88138498,88211735,88928079,89135023,89318688,89768139,89936079,90994603,91199208,91389585,92313906,92844863,93372799,93874408,94059048,94262255,94861611,94963119,95599714,95844844,95891467,95893919,95987735,97482224,97512237,97685805,99095700,99802540,99968559,...,18960554596070422462998607689357105899160386288991500144139213747011298973045975970717570916897530630194304212741908378087341873702613956742426949395125448690960026978548680989564390501156175708018489202032362830505831034106813737811312944923537592693492070440515078570820293376632559791453561272288056785139045348848407076787709188688410539409033309084337060608616490643826976287290562488150563456306130805052254025756995355388397955753800656118577594527002169880745574158838294323618430546084237534109457786562718434158985846806422531848968035799704276042413291407652957036992385977129903483485128345454224879813202552180575677246324897781294949974948486317388359272841918974175573326393113728987036916746242162966682805974441673529907547395329000781807149862258196396920998227257520933557322331186116182989476612084917452144455837693953710523833453757936137870059780649274104712356657578923285004611678573043581998048416883991727355214926030950109106594376454904656003697953397122009667217229255581066907199092029095060768892895002309546604315458949323975376336133740619232262953088892730188199366707949216661431312025852031099460057843754205900019079013298107082157192902566698964973065531244319716909778719659533119425001021664210857266384331026789983957005798464093816952303032250191062281088454964792015454697859335435799117508467235936175805586439526600972193253952289176800461960848389384299301183448113402145275404268682854225876089354616692691126049419609437924195835958643866945107160949741720950505314469128827299614484225415044633614203403439358317314493760044744577878705217193954934573510214165307082094554742062793045559822319585565489622432060817014731608917680294769201554753845533336600801488595310433707522163050361697275412795345696425173152927546920596639126747723288117915405691836071876278705146538509605025092394140730520129811749586579855321001079272344211395841721021800027064412858071245710011035343007622982093842072584529664621499132948475387415808265956067343775261591468911980905466360333056035303052539689254061792665863088587935256679107530697805805117265321532211859739628419925666013707354011444677848352485019561891567964658187707597373261809401632371305079851419460779447089916364797758546222270516841626590189407953933573313448309026826216370392695480332162868322597308993374774987586907116630831521440475007433689879919696022645970256063218047284689670207507088970568850834882137977292759642660719309164218126866887402220530663514814616774462711649928859290365581225976608428295095655170874922541591613126178518273963505851320215735508794408484577850088783819383575891357605572629533235350806462515598815903465322624545596147705309700032835980069648342114416206914195461962923249505141974281405969291168787335031271132468944277704688900717755212892610645154781774969202212239426310003977587812835215809013053334104722772187424674166484351831758725007156329506390385716461250563317026823274958572584085283015150218379846020587162819251714902278154196133260684348476694555585796243458473652931743803396641589413375423807986875835833087117923714532795885079947230523934206824089752504915043812327854024192908973819333290862228667058048438664878125741491788260528587741754791571395976518477586490946200774080633162732900228925607350168598516069832881900167037849576421595244841936185515397361475569498640933018991969849811320163353859456582414426196764829774845017839346357844929590612520456334353598940332419262764369316364370780339719396594026078831940532111122216711576451955351393545974841841254447794571011112354289534172440599476265554992593518658659464605049072310297366056318134233438120019004789642070889180479085255225385888484698697468551446150561437621483838912869713679852231731982030210316400311406866683619460998655571257668706334984305288378587567913113933765703308299895893185665978483707915580800224851686562202192533556128496142208822909399403624854731776327460941440129253989718250761562713731579525905196680038103389082234498426943575818455336789380209996551932380566610181525819860720056162018636611480239715658428490580909685078510753999068366814520371767776438651686926050485402981562823755179533102668924270109182907998012655395901152649420135724105115082880322501351335530461321678731778870796996827402046335215123035273740842639760836767872099274248919450250010491955830045954468239069460027241601240256912719958637896175902903158911624076736536942152079226513868970950652237273136617810787795017140676449628884382864547899658866188025495654571963208649782082701149364271342758723210830047911017060801248091244450325322397955826911862303888263167057005921789098831835703244031693563542623262503317722916882767668273970814181051907740589481480756551591056154905820430131242253443434736422702065281035087697985239661467}
30058  330721382648073278345551631847546574931393213698241783037683584717416833683407581058508: {330517,841316,870841,1201880,1352115,1410517,1442256,1622538,2581118,3920437,4018526,4099177,4377518,4922132,5161892,5348341,5525336,5704597,5812046,6216003,6528446,7126741,8013241,8316926,8515172,9427897,9843608,11074059,11527118,11541241,11981571,12817316,13305518,14263775,14517397,15202916,15224703,15388777,16394516,16432057,16657215,17116530,17767696,17867255,18257632,19028917,19373941,19988658,20539836,20677652,21094741,21440706,21470735,21628052,22143518,22295017,22815332,23318547,24174037,25025257,25434563,25524650,25764882,26552917,27053486,27060841,27439935,27760175,28800206,29269264,29922212,29926837,30132915,30430441,30629580,30703299,31357208,31770217,32104441,32141776,32671552,32927922,33312210,33944703,34269877,34879892,35276859,35533024,36097118,36159498,36283299,36335090,36443006,36755496,37156371,37235732,37577557,38256946,39056617,39347043,39353252,39549518,39974652,40058516,40366441,40856437,41182741,41349933,41352536,41508757,41614046,42485077,42778136,42809941,43134517,43602108,44233775,44429941,45043406,45455972,45589747,46042741,46069406,46268115,46521603,47870735,48125403,48448441,49352656,49901972,51168755,51179966,51519518,52105717,52470692,52895737,53080530,53553806,53683957,54652780,54784441,55268516,55521738,55582616,55993371,56570735,56619232,56818837,57130741,57444882,57596516,57943646,58675415,58996117,59770297,59961518,60297326,60355779,61402506,61467157,61778852,61987263,62530443,62676056,63002197,63517587,63696636,64072441,64742524,64983518,65128210,65291257,65317166,65574035,65583336,66656917,66658775,67014563,67339172,67413097,67564117,67884882,68318137,68990883,69670837,69755096,69973118,70120441,70410498,70510563,70805012,70868341,71614441,71912377,71959886,72650516,73781253,73995608,74263652,74580841,74600846,74930318,75616175,75645092,75759337,75842851,76246766,76786741,76795412,77810617,78075400,78153852,78248341,78474483,78688842,79799307,79990530,80182286,80340531,81149941,81159332,81815966,82140107,82158697,82301667,83120318,83245059,83446046,83526179,84451177,84747518,85163797,85282916,85296946,85323232,86158441,87112292,87290857,87417935,87834825,87991118,88026212,88277941,88711316,88977363,88980841,89105235,89401717,89619187,89681941,89930366,89961877,90381241,90578643,90739410,90905816,91173418,91542446,92052217,92190997,92311256,92489320,92507966,93040300,93690480,94264057,94435118,94755806,94864292,94999175,95045584,95411327,95735090,95860347,95988636,96228452,96371743,96534591,96593941,96788704,96866677,96977283,97294835,97547257,97954741,97978175,98706179,98903017,98911646,99329816,99548846,99633812,99713017,99936512,...,25280739461427229950664810252476141198880515051988666858852284996015065297394634627623427889196707506925738950322544504116455831603485275656569265860167264921280035971398241319419187334874900944024652269376483774007774712142418317081750593231383456924656093920686771427760391168843413055271415029717409046852060465131209435716945584917880719212044412112449414144821987525102635049720749984200751275074841073403005367675993807184530607671734208158103459369336226507660765545117725764824574061445650045479277048750291245545314462408563375798624047732939034723217721876870609382656514636173204644646837793938966506417603402907434236328433197041726599966597981756517812363789225298900764435190818305316049222328322883955577074632588898039876729860438667709076199816344261862561330969676694578076429774914821577319302149446556602859274450258604947365111271677248183826746374199032139616475543438564380006148904764058109330731222511988969806953234707933478808792501939872874671597271196162679556289639007441422542932122705460081025190526669746062139087278599098633835114844987492309683937451856973584265822277265622215241749367802708132613410458338941200025438684397476109542923870088931953297420708325759622546371626212710825900001362218947809688512441369053311942674397952125089269737376333588083041451273286389353939597145780581065490011289647914901074115252702134629591005269718902400615947797852512399068244597484536193700539024910472301168119139488923588168065892812583898927781278191822593476214599655627934007085958838436399485978967220059511485604537919144423085991680059659437171606956258606579431346952220409442792739656083724060746429759447420652829909414422686308811890240393025602073005127377782134401984793747244943362884067148929700550393794261900230870570062560795518835663631050823887207589114762501704940195384679473366789858854307360173082332782106473761334772363125615194455628029066702752550477428327613348047124010163976125122763446039552828665510597967183221077687941423125033682121958549307873955147110741380404070052919005415723554484118117247008905476707597074406823020428709615812986171226567554684943138681926237131136646692749188757286210916943463164349079202176495073439801892614372596119888486397011394963027355788835453585877271911431084597745369101621827190260640442883824430129745324499699983449209488841108695253966676578253173226261363527960341417624063046252893610009451960758467779842850636390346190214292412218957502489183202960707551353086155699283615533238479053820774967968811237726794206894499896722122150834904691031951341135093620980678392544646103800118378425844767855143474096839377647134408616687465087871287096832727461530273746266710447973426197789485888275885593949283897666006855965708541292388225049780041694843291925703606251867623673617190147526873042366625602949652568413338636783750446954412017404445472963696249899565555312469109011633342875106008520514288615000751089369097699944763445447044020200291173128027449550425668953203037538928177680912464635592740781061657944631537242325071195522119217833898410649167781110782823898286043727846773262974031912275765453003339886725083103805365590545298425777721149638222744064584886504167655322384347371450322339722095194635357970115321261601032107510883643866971900809800224798021426443842533556050466101895460326455914914020529815300759331521244025322626466415093551138479275443219234929019773033126690452461810459906120816693941779138131920443225683685825755152494373786292528792034771775920709481496288948768602607135191394633122455005930392761348149805719378896587465968354073323458024878212619473398763080396488075090845644584160025339719522761185573972113673633847851312931596624735261534081916828645118550492951573136308975976040280421867081875822244825947998207428343558275113312407051171450090550818578354271077733194524247554637978277220774400299802248749602923378074837994856278430545865871499806309035103281255253505671986291001015416951642106034540262240050804518776312664569258101091273782385840279995402576507422146908701093147626741549358182148640319620877904654107879580104681005332091155752693829023701918202249234733980537308750431673572710803558565693478910543997350207194534870199226847632140153443840430001801780707281762238309038494395995769869395113620164047031654456853014449023829465698998559267000013989274440061272624318759280036322134987009216959944850528234537204211882165435648715922869438968685158627934202983030848823747717060022854235266171845843819397199545154917367327539429284278199709443601532485695123678297614440063881356081068330788325933767096530607769215816405184350889409341229052131775780937658708924751390164350004423630555843690224365294418908069210320785975307675402121408206541093906841656337924579648563602753708046783597313652881956}
30059  331748758677422093466487303743358066714088131578219402456034125851741053126726328315090: {30059,1051645,1261974,1502350,1802820,1923008,2163384,2433807,3871677,4834669,6027789,6152665,6276061,6452365,6566277,6636409,6906670,7383198,7742838,8288004,8613157,8718069,9792669,10643965,11230846,12214477,12304510,12475389,12772758,14765412,14796409,15546734,15815797,15876877,15975428,16021645,16536061,17290677,19003645,19225974,19462861,19958277,20299604,20493145,22209620,22804374,22822040,24190478,24591774,25610606,25674795,25847065,26651544,27020089,27035065,27386448,27437557,28124054,28519165,28587608,29329861,29590846,29982987,30072949,30809754,31016478,31091396,31751638,32161059,32418109,32442078,33215277,33271117,34222998,34353176,35656921,36183469,36549277,36586580,37402765,37430869,38286975,38647323,39196510,40177220,40580229,40839440,40866829,40937732,41799637,42272149,43110397,43183574,43200309,43599865,43903896,44416280,44883318,45259604,45944370,46544665,47035812,47553038,48212664,48377732,48634789,49007328,49191565,49391883,49541828,49968315,50073145,51690670,52319838,52462724,53299536,53472670,54145677,54239247,54502635,54664509,54841549,54891397,55133244,55853598,56819965,57385419,58136144,59029878,59324277,59465197,59961978,60087774,61035709,61301509,61685581,61690820,62028804,62377465,62421069,64167204,64253269,64687117,64746157,64867309,65403162,65588365,67184377,67565109,68183958,68315975,68794766,69085645,69104109,69251677,69478270,69500509,70774040,71995645,72082429,72470821,74028984,74627869,74657828,74852958,75026989,75114061,75526334,76593176,76769949,77223565,77279277,78345070,78706038,79542589,79620795,79934678,80330709,80474372,80772349,80928155,81870008,81979170,82093454,82649684,82794709,82902774,83164886,83282607,83373924,84173965,84690116,84928848,86167323,86394774,86913589,86915469,87175717,87193870,87444448,87995869,88506265,89391949,89936918,89942277,90445989,90513176,90813145,90873109,91987844,92103759,92494510,92668278,92829565,93644269,93701437,93880664,94014084,94556365,94580281,94787029,95544954,95994265,96926197,97113786,97475277,97594250,97692315,97975749,98038009,98172829,98375004,98785934,99158269,99247957,99525049,...,37921109192140844925997215378714211798320772577983000288278427494022597946091951941435141833795061260388608425483816756174683747405227913484853898790250897381920053957097361979128781002312351416036978404064725661011662068213627475622625889847075185386984140881030157141640586753265119582907122544576113570278090697696814153575418377376821078818066618168674121217232981287653952574581124976301126912612261610104508051513990710776795911507601312237155189054004339761491148317676588647236861092168475068218915573125436868317971693612845063697936071599408552084826582815305914073984771954259806966970256690908449759626405104361151354492649795562589899949896972634776718545683837948351146652786227457974073833492484325933365611948883347059815094790658001563614299724516392793841996454515041867114644662372232365978953224169834904288911675387907421047666907515872275740119561298548209424713315157846570009223357146087163996096833767983454710429852061900218213188752909809312007395906794244019334434458511162133814398184058190121537785790004619093208630917898647950752672267481238464525906177785460376398733415898433322862624051704062198920115687508411800038158026596214164314385805133397929946131062488639433819557439319066238850002043328421714532768662053579967914011596928187633904606064500382124562176909929584030909395718670871598235016934471872351611172879053201944386507904578353600923921696778768598602366896226804290550808537365708451752178709233385382252098839218875848391671917287733890214321899483441901010628938257654599228968450830089267228406806878716634628987520089489155757410434387909869147020428330614164189109484125586091119644639171130979244864121634029463217835360589538403109507691066673201602977190620867415044326100723394550825590691392850346305855093841193278253495446576235830811383672143752557410293077019210050184788281461040259623499173159710642002158544688422791683442043600054128825716142491420022070686015245964187684145169059329242998265896950774831616531912134687550523182937823961810932720666112070606105079378508123585331726177175870513358215061395611610234530643064423719479256839851332027414708022889355696704970039123783135929316375415194746523618803264742610159702838921558894179832729595517092444541033683253180378815907867146626896618053652432740785390960664325736645194617986749549975173814233261663042880950014867379759839392045291940512126436094569379340415014177941137701669764275954585519285321438618328436253733774804441061327029629233548925423299857718580731162451953216856590191310341749845083183226252357036547927011702640431471017588816969155700177567638767151782715211145259066470701612925031197631806930645249091192295410619400065671960139296684228832413828390923925846499010283948562811938582337574670062542264937888555409377801435510425785221290309563549938404424478852620007955175625670431618026106668209445544374849348332968703663517450014312659012780771432922501126634053646549917145168170566030300436759692041174325638503429804556308392266521368696953389111171592486916947305863487606793283178826750847615973751671666174235847429065591770159894461047868413648179505009830087624655708048385817947638666581724457334116096877329756251482983576521057175483509583142791953036955172981892401548161266325465800457851214700337197032139665763800334075699152843190489683872371030794722951138997281866037983939699622640326707718913164828852393529659549690035678692715689859181225040912668707197880664838525528738632728741560679438793188052157663881064222244433423152903910702787091949683682508895589142022224708579068344881198952531109985187037317318929210098144620594732112636268466876240038009579284141778360958170510450771776969397394937102892301122875242967677825739427359704463463964060420632800622813733367238921997311142515337412669968610576757175135826227867531406616599791786371331956967415831161600449703373124404385067112256992284417645818798807249709463552654921882880258507979436501523125427463159051810393360076206778164468996853887151636910673578760419993103864761133220363051639721440112324037273222960479431316856981161819370157021507998136733629040743535552877303373852100970805963125647510359066205337848540218365815996025310791802305298840271448210230165760645002702671060922643357463557741593993654804092670430246070547481685279521673535744198548497838900500020983911660091908936478138920054483202480513825439917275792351805806317823248153473073884304158453027737941901304474546273235621575590034281352899257768765729095799317732376050991309143926417299564165402298728542685517446421660095822034121602496182488900650644795911653823724607776526334114011843578197663671406488063387127085246525006635445833765535336547941628362103815481178962961513103182112309811640860262484506886869472845404130562070175395970479322934}
30060  332779307636097889676031381449696133191103960451215180517347884363864972105821381840555: {390611,661034,930899,1410611,1682632,1741682,1892961,2129219,2253525,2403760,2704230,2821034,2884512,3025859,3245076,3384011,4159019,5162236,5348699,5408099,5764331,5883011,6653651,6772091,7186379,7659371,7840874,8037052,8072819,8198354,8755036,9134171,9844264,10016651,10323784,10360005,10696682,11050672,11074797,11409194,11542019,11614257,11624092,11776211,12419579,12432006,12770099,13056892,13295339,13645139,14169299,14253482,14402051,14518379,15447851,16026482,16633852,16846269,17011691,17030344,17300651,17877971,18166331,18456765,18569699,18855794,19159137,19375259,19432739,19687216,19777451,19892291,19969285,21325091,21496691,22148118,22182371,22638851,23054236,23082482,23320101,23664059,23963142,24232499,24516419,24913571,25014157,25083659,25374505,25634632,25706699,25876451,26441771,26611036,27062699,27288251,27762025,28527550,28582691,28838961,28975811,29034794,29984891,30059029,30152819,30405832,30449406,30488459,30777554,32789032,32864114,33274259,33314430,34106099,34206561,34233060,34438331,34659659,35101931,35267651,35535392,35734510,36285717,36515264,36887661,37085819,37415459,37580171,38057834,38415909,38747882,38864245,39387251,39977316,40096739,40913699,41022491,41079672,41185619,41355304,41565971,42186081,42189482,42325499,42488051,42542219,42881412,42941470,43137539,43256104,43461851,44001731,44287036,44386269,44590034,44648531,45079091,45455411,45630664,45733225,45885011,46099619,46214631,46260491,46524717,46637094,47063771,47331131,47627457,48348074,48451859,48663117,49303379,49622171,50050514,50221525,50258891,50417891,50869126,51049300,51172165,51334497,51529764,51687299,52899491,52952099,53105834,54106972,54121682,54788339,54840659,54879870,55415651,55520350,55572299,56198171,56574505,56874899,57600412,57757811,58538528,58690139,58794765,59052011,59774579,59826131,59844424,59853674,60265830,60472165,60860882,61259160,61406598,61625411,61927285,62240051,62393531,62598059,62714416,63006731,63057779,63363899,63516851,63540434,63669731,63771611,64077059,64127939,64208882,64283552,64775361,65343104,65578405,65650619,65855844,66624420,67019029,67324977,67889406,68323091,68539754,68916555,69425819,69675899,69759784,70175459,70553718,70873499,71066048,71329557,71636257,72194236,72215291,72318996,72566598,72670180,72886012,72958211,73510992,73699331,73847339,74312742,74471464,74635499,75155114,75764891,76058819,76352459,76513892,76792379,77113525,77536005,78113234,78479757,78694086,78706504,79099036,79176131,79199029,79949304,80046971,80117032,80143571,80209005,80433179,80732882,81155939,81204059,81712874,82145581,82356539,82365482,82699866,82705072,82787531,83017514,83074499,83228092,83780397,83790659,84970154,85170131,85217579,85502099,85556272,85619882,86269034,86448419,87204216,87344459,88331459,88467550,88544817,88847051,88859882,88987499,89034299,89314931,89408411,89688659,89735339,89942967,90015251,90086812,90131661,90434579,90911944,90946211,91179494,91410491,91803649,92085482,92105411,92138812,92244179,92536230,92936939,93043206,93322285,94041611,94317059,94592219,94821299,95741470,95781251,96100451,96237131,96250806,96896882,96919451,98104743,98414219,98705312,98712757,99045731,99630731,99720611,99803944,...,56881663788211267388995823068071317697481158866974500432417641241033896919137927912152712750692591890582912638225725134262025621107841870227280848185376346072880080935646042968693171503468527124055467606097088491517493102320441213433938834770612778080476211321545235712460880129897679374360683816864170355417136046545221230363127566065231618227099927253011181825849471931480928861871687464451690368918392415156762077270986066165193867261401968355732783581006509642236722476514882970855291638252712602328373359688155302476957540419267595546904107399112828127239874222958871110977157931389710450455385036362674639439607656541727031738974693343884849924845458952165077818525756922526719979179341186961110750238726488900048417923325020589722642185987002345421449586774589190762994681772562800671966993558348548968429836254752356433367513081861131571500361273808413610179341947822314137069972736769855013835035719130745994145250651975182065644778092850327319783129364713968011093860191366029001651687766743200721597276087285182306678685006928639812946376847971926129008401221857696788859266678190564598100123847649984293936077556093298380173531262617700057237039894321246471578707700096894919196593732959150729336158978599358275003064992632571799152993080369951871017395392281450856909096750573186843265364894376046364093578006307397352525401707808527416759318579802916579761856867530401385882545168152897903550344340206435826212806048562677628268063850078073378148258828313772587507875931600835321482849225162851515943407386481898843452676245133900842610210318074951943481280134233733636115651581864803720530642495921246283664226188379136679466958756696468867296182451044194826753040884307604664261536600009802404465785931301122566489151085091826238386037089275519458782640761789917380243169864353746217075508215628836115439615528815075277182422191560389435248759739565963003237817032634187525163065400081193238574213737130033106029022868946281526217753588993864497398845426162247424797868202031325784774406735942716399080999168105909157619067762185377997589265763805770037322592093417415351795964596635579218885259776998041122062034334033545057455058685674703893974563122792119785428204897113915239554258382338341269749094393275638666811550524879770568223861800719940344927080478649111178086440996488604967791926980124324962760721349892494564321425022301069639759088067937910768189654141854069010622521266911706552504646413931878278927982157927492654380600662206661591990544443850323388134949786577871096743677929825284885286965512624767624774839378535554821890517553960647206526383225453733550266351458150727674072816717888599706052419387546796447710395967873636788443115929100098507940208945026343248620742586385888769748515425922844217907873506362005093813397406832833114066702153265638677831935464345324907606636718278930011932763438505647427039160002314168316562274022499453055495276175021468988519171157149383751689951080469824875717752255849045450655139538061761488457755144706834462588399782053045430083666757388730375420958795231410189924768240126271423960627507499261353771143598387655239841691571802620472269257514745131436983562072578726921457999872586686001174145315994634377224475364781585763225264374714187929555432759472838602322241899488198700686776822050505795548209498645700501113548729264785734525808556546192084426708495922799056975909549433960490061578369747243278590294489324535053518039073534788771837561369003060796820997257788293107949093112341019158189782078236495821596333366650134729355866054180637924525523763343383713033337062868602517321798428796664977780555975978393815147216930892098168954402700314360057014368926212667541437255765676157665454096092405654338451684312864451516738609141039556695195946090630949200934220600050858382995966713773006119004952915865135762703739341801297109924899687679556997935451123746742400674555059686606577600668385488426626468728198210874564195328982382824320387761969154752284688141194738577715590040114310167246703495280830727455366010368140629989655797141699830544577459582160168486055909834440719146975285471742729055235532261997205100443561115303329315955060778151456208944688471265538599308006772810327548723994037966187703457948260407172315345248640967504054006591383965036195336612390990482206139005645369105821222527919282510303616297822746758350750031475867490137863404717208380081724803720770738159875913688527708709476734872230209610826456237679541606912851956711819409853432363385051422029348886653148593643698976598564076486963715889625949346248103448092814028276169632490143733051182403744273733350975967193867480735586911664789501171017765367296495507109732095080690627869787509953168750648303004821912442543155723221768444442269654773168464717461290393726760330304209268106195843105263093955718984401}
30061  333813039266213153110409575548603459751099494062861180213597813575521742108323491677383: {60118,991551,1472303,2103290,2523948,2612523,3004700,3605640,3846016,4056345,4231551,4326768,4867614,6452795,7417163,7743354,8613731,9033311,9669338,10046315,10943795,11761311,12055578,12215291,12297531,12305330,12552122,12904730,13132554,13272818,13813340,14435291,14530115,14766396,14901551,15485676,15816851,16045023,16321115,16537163,16576008,17113791,17226314,17436138,17676479,18648009,19585338,20122619,20792315,21287930,21380223,22097471,22430303,22461692,23001563,24039723,24428954,24609020,24950778,25545516,26605103,28283691,28690403,28817795,29530824,29592818,30198923,31092371,31093468,31631594,31753754,31950856,32043290,33072122,33222177,33263795,33610943,33929951,34581354,34623723,34662563,35944713,36185891,37396283,37849091,38007290,38116019,38451948,38925722,39320411,39916554,39926831,40599208,40986290,42791325,43552191,43685231,44419240,45484211,45608748,45644080,45674109,46166331,47245343,48380956,49183548,49296171,49382603,49399571,49971645,50948651,51221212,51349590,51694130,52363871,53303088,53601765,54040178,54070130,54435503,54772896,54875114,55358795,56248108,57038330,57086751,57175216,58121823,58659722,59181692,59965974,60145898,61039811,61619508,62032956,62182792,63284223,63423203,63503276,63811625,64322118,64412205,64590803,64836218,64871651,64884156,65162531,65343839,65939759,66430554,66542234,66885051,67633715,68445996,68706352,68868191,69955641,70102403,70277051,71313842,72000515,72366938,72522111,73098554,73173160,74805530,74861738,74927459,75075771,76005983,76303689,76448411,76573950,77053631,77294646,78393020,79547951,79658751,80354440,81160458,81182523,81678880,81733658,81842891,81875464,82319805,82800251,83280525,83599274,84544298,86220794,86367148,86400618,87199730,87328451,87807792,88771163,88832560,89631371,89766636,89780511,90242795,90398745,90519208,90837725,91107515,91291323,91428191,91823711,91888451,91888740,92109897,92535263,93089330,94071624,94303103,95106076,95310651,95556911,95642365,96313323,96425328,96719903,96755464,96818651,97269578,97941131,98014656,98383130,98783766,98873795,99083656,99936630,...,75842218384281689851994430757428423596641545155966000576556854988045195892183903882870283667590122520777216850967633512349367494810455826969707797580501794763840107914194723958257562004624702832073956808129451322023324136427254951245251779694150370773968281762060314283281173506530239165814245089152227140556181395393628307150836754753642157636133236337348242434465962575307905149162249952602253825224523220209016103027981421553591823015202624474310378108008679522982296635353177294473722184336950136437831146250873736635943387225690127395872143198817104169653165630611828147969543908519613933940513381816899519252810208722302708985299591125179799899793945269553437091367675896702293305572454915948147666984968651866731223897766694119630189581316003127228599449032785587683992909030083734229289324744464731957906448339669808577823350775814842095333815031744551480239122597096418849426630315693140018446714292174327992193667535966909420859704123800436426377505819618624014791813588488038668868917022324267628796368116380243075571580009238186417261835797295901505344534962476929051812355570920752797466831796866645725248103408124397840231375016823600076316053192428328628771610266795859892262124977278867639114878638132477700004086656843429065537324107159935828023193856375267809212129000764249124353819859168061818791437341743196470033868943744703222345758106403888773015809156707201847843393557537197204733792453608581101617074731416903504357418466770764504197678437751696783343834575467780428643798966883802021257876515309198457936901660178534456813613757433269257975040178978311514820868775819738294040856661228328378218968251172182239289278342261958489728243268058926435670721179076806219015382133346403205954381241734830088652201446789101651181382785700692611710187682386556506990893152471661622767344287505114820586154038420100369576562922080519246998346319421284004317089376845583366884087200108257651432284982840044141372030491928375368290338118658485996531793901549663233063824269375101046365875647923621865441332224141212210158757016247170663452354351741026716430122791223220469061286128847438958513679702664054829416045778711393409940078247566271858632750830389493047237606529485220319405677843117788359665459191034184889082067366506360757631815734293253793236107304865481570781921328651473290389235973499099950347628466523326085761900029734759519678784090583881024252872189138758680830028355882275403339528551909171038570642877236656872507467549608882122654059258467097850846599715437161462324903906433713180382620683499690166366452504714073095854023405280862942035177633938311400355135277534303565430422290518132941403225850062395263613861290498182384590821238800131343920278593368457664827656781847851692998020567897125623877164675149340125084529875777110818755602871020851570442580619127099876808848957705240015910351251340863236052213336418891088749698696665937407327034900028625318025561542865845002253268107293099834290336341132060600873519384082348651277006859609112616784533042737393906778222343184973833894611726975213586566357653501695231947503343332348471694858131183540319788922095736827296359010019660175249311416096771635895277333163448914668232193754659512502965967153042114350967019166285583906073910345963784803096322532650931600915702429400674394064279331527600668151398305686380979367744742061589445902277994563732075967879399245280653415437826329657704787059319099380071357385431379718362450081825337414395761329677051057477265457483121358877586376104315327762128444488866846305807821405574183899367365017791178284044449417158136689762397905062219970374074634637858420196289241189464225272536933752480076019158568283556721916341020901543553938794789874205784602245750485935355651478854719408926927928120841265601245627466734477843994622285030674825339937221153514350271652455735062813233199583572742663913934831662323200899406746248808770134224513984568835291637597614499418927105309843765760517015958873003046250854926318103620786720152413556328937993707774303273821347157520839986207729522266440726103279442880224648074546445920958862633713962323638740314043015996273467258081487071105754606747704201941611926251295020718132410675697080436731631992050621583604610597680542896420460331521290005405342121845286714927115483187987309608185340860492141094963370559043347071488397096995677801000041967823320183817872956277840108966404961027650879834551584703611612635646496306946147768608316906055475883802608949092546471243151180068562705798515537531458191598635464752101982618287852834599128330804597457085371034892843320191644068243204992364977801301289591823307647449215553052668228023687156395327342812976126774254170493050013270891667531070673095883256724207630962357925923026206364224619623281720524969013773738945690808261124140350791940958645868}
30062  334849963339617953580992825585550152043387205899551494735089457449657808674678968605601: {90177,781222,1322068,1861798,2189197,2368657,2821222,3085777,3154935,3365264,3483364,3755875,3785922,4258438,4507050,4807520,5408460,5408461,5642068,5769024,5942737,6051718,6298561,6490152,6768022,6831757,7301421,8318038,10324472,10697398,10816198,11249857,11528662,11615031,11766022,12478861,12829357,13307302,13544182,13704337,14372758,14504007,15318742,15681748,16074104,16145638,16396708,17266675,17510072,18083367,18225217,18268342,18457995,18828183,19357095,19434061,19688528,19698831,19778797,19909227,20033302,20647568,20720010,21393364,22012561,22101344,22149594,22818388,23084038,23228514,23248184,23552422,23722561,24839158,24864012,24915277,25540198,25765057,25839471,26113784,26154207,26590678,27290278,27956999,28077115,28338598,28506964,28804102,29036758,29378007,30154897,30761275,30895702,31931895,32052964,32665357,33267704,33332077,33692538,34023382,34060688,34601302,35524307,35755942,35987437,36332662,36643431,36913530,37139398,37143361,37426167,37472977,37711588,38318274,38750518,38865478,38866835,39374432,39554902,39784582,39938570,39968599,40099537,41731777,42057361,42382657,42545197,42650182,42993382,44166637,44296236,44364742,44389227,45277702,46108472,46164964,46640202,47328118,47387917,47447391,47630631,47926284,48064935,48464998,49032838,49608183,49625677,49827142,50028314,50167318,50421457,50749010,51269264,51413398,51752902,51872031,52482061,52883542,52955857,53222072,54125398,54409943,54576502,54844561,55524050,55941517,56410561,57010935,57055100,57165382,57677922,57951622,58069588,58388583,59830417,59874831,59969782,60118058,60294061,60305638,60476195,60757057,60811664,60898812,60976918,61479435,61555108,62295697,63062317,64026515,64132561,65578064,65655361,65728228,66110797,66548518,66628860,68212198,68413122,68466120,68876662,69319318,69430861,70203862,70310135,70535302,71070784,71469020,71641031,72571434,73030528,73775322,73977115,74171638,74830918,75160342,76113361,76115668,76406977,76831818,77024385,77495764,77541195,77578561,77728490,78774502,79204307,79379095,79954632,80052877,80193478,80487361,81060267,81105195,81210061,81642817,81827398,82044982,82159344,82312671,82371238,82710608,83131942,83796877,84372162,84378964,84650998,84661031,84976102,85084438,85223917,85508461,85557495,85762824,85882940,86275078,86512208,86643757,86698199,86923702,87989583,88003462,88574072,88772538,89040961,89180068,89297062,89742061,89948961,90158182,90218847,90910822,91261328,91466450,91770022,91809767,92199238,92429262,92520982,93049434,93274188,94127542,94662262,94874257,95254914,95560237,95970961,96483177,96696148,96903718,97254327,97326234,97335361,97991275,98606758,99098317,99244342,99645831,99813351,...,113763327576422534777991646136142635394962317733949000864835282482067793838275855824305425501385183781165825276451450268524051242215683740454561696370752692145760161871292085937386343006937054248110935212194176983034986204640882426867877669541225556160952422643090471424921760259795358748721367633728340710834272093090442460726255132130463236454199854506022363651698943862961857723743374928903380737836784830313524154541972132330387734522803936711465567162013019284473444953029765941710583276505425204656746719376310604953915080838535191093808214798225656254479748445917742221954315862779420900910770072725349278879215313083454063477949386687769699849690917904330155637051513845053439958358682373922221500477452977800096835846650041179445284371974004690842899173549178381525989363545125601343933987116697097936859672509504712866735026163722263143000722547616827220358683895644628274139945473539710027670071438261491988290501303950364131289556185700654639566258729427936022187720382732058003303375533486401443194552174570364613357370013857279625892753695943852258016802443715393577718533356381129196200247695299968587872155112186596760347062525235400114474079788642492943157415400193789838393187465918301458672317957198716550006129985265143598305986160739903742034790784562901713818193501146373686530729788752092728187156012614794705050803415617054833518637159605833159523713735060802771765090336305795807100688680412871652425612097125355256536127700156146756296517656627545175015751863201670642965698450325703031886814772963797686905352490267801685220420636149903886962560268467467272231303163729607441061284991842492567328452376758273358933917513392937734592364902088389653506081768615209328523073200019604808931571862602245132978302170183652476772074178551038917565281523579834760486339728707492434151016431257672230879231057630150554364844383120778870497519479131926006475634065268375050326130800162386477148427474260066212058045737892563052435507177987728994797690852324494849595736404062651569548813471885432798161998336211818315238135524370755995178531527611540074645184186834830703591929193271158437770519553996082244124068668067090114910117371349407787949126245584239570856409794227830479108516764676682539498188786551277333623101049759541136447723601439880689854160957298222356172881992977209935583853960248649925521442699784989128642850044602139279518176135875821536379308283708138021245042533823413105009292827863756557855964315854985308761201324413323183981088887700646776269899573155742193487355859650569770573931025249535249549678757071109643781035107921294413052766450907467100532702916301455348145633435777199412104838775093592895420791935747273576886231858200197015880417890052686497241485172771777539497030851845688435815747012724010187626794813665666228133404306531277355663870928690649815213273436557860023865526877011294854078320004628336633124548044998906110990552350042937977038342314298767503379902160939649751435504511698090901310279076123522976915510289413668925176799564106090860167333514777460750841917590462820379849536480252542847921255014998522707542287196775310479683383143605240944538515029490262873967124145157453842915999745173372002348290631989268754448950729563171526450528749428375859110865518945677204644483798976397401373553644101011591096418997291401002227097458529571469051617113092384168853416991845598113951819098867920980123156739494486557180588978649070107036078147069577543675122738006121593641994515576586215898186224682038316379564156472991643192666733300269458711732108361275849051047526686767426066674125737205034643596857593329955561111951956787630294433861784196337908805400628720114028737852425335082874511531352315330908192184811308676903368625728903033477218282079113390391892181261898401868441200101716765991933427546012238009905831730271525407478683602594219849799375359113995870902247493484801349110119373213155201336770976853252937456396421749128390657964765648640775523938309504569376282389477155431180080228620334493406990561661454910732020736281259979311594283399661089154919164320336972111819668881438293950570943485458110471064523994410200887122230606658631910121556302912417889376942531077198616013545620655097447988075932375406915896520814344630690497281935008108013182767930072390673224781980964412278011290738211642445055838565020607232595645493516701500062951734980275726809434416760163449607441541476319751827377055417418953469744460419221652912475359083213825703913423638819706864726770102844058697773306297187287397953197128152973927431779251898692496206896185628056552339264980287466102364807488547466701951934387734961471173823329579002342035530734592991014219464190161381255739575019906337501296606009643824885086311446443536888884539309546336929434922580787453520660608418536212391686210526187911437968802}
30063  335890089657990188111214063926095590917453046544083154492960064610407195897833814187623: {120236,1171833,1652585,1983102,2792697,2944606,4206580,4231833,4354205,5047896,5225046,5678883,6009400,6387657,6760575,7052585,7211280,7597337,7692032,8112690,8463102,8653536,8678381,9033913,9077577,9735228,10152033,12477057,12905590,13534961,14064841,14436253,14834326,15321313,15486708,16046097,16224297,17227462,17292993,17649033,17677657,18066622,19338676,19602185,19960953,20017337,20092630,20316273,20342161,20495885,21559137,21887590,22849561,22978113,23522622,23781277,24111156,24218457,24430582,24595062,24610660,25104244,25809460,26115193,26265108,26545636,26741705,27402513,27626680,28522985,28870582,29060230,29109241,29532792,29803102,30049953,30971352,31080015,31633702,32090046,32642230,33074326,33152016,33224391,34227582,34452628,34626057,34750297,34842771,34872276,35328633,35352958,35633705,37258737,37296018,38310297,39170676,39886017,39975337,40066205,40099033,40245238,40344913,40935417,41054941,41584630,42507897,42575860,42760446,43116161,43206153,43555137,44194942,44860606,44923384,46003126,46343553,46569313,47139485,47702953,48079446,48857908,49218040,49901556,50538807,51035073,51091032,51901953,53210206,53633913,54498993,55192321,55370295,55709097,56567382,56859737,57380806,57477411,57635590,57706205,58125777,58298217,58819937,59061648,59185636,59332353,59676873,59907855,60397846,62184742,62186936,63263188,63507508,63901712,63975273,64086580,64490073,66144244,66444354,66527590,66547113,67221886,67797217,67859902,67916553,69162708,69247446,69325126,69960303,70992177,71318875,71889426,72189721,72371782,72586985,72697497,73549257,74268361,74740713,74792566,75042471,75250977,75698182,76014580,76123515,76232038,76426097,76903896,76943885,77120097,77224537,77502313,77629353,77780273,77851444,78582457,78640822,79325313,79833108,79853662,81188097,81198416,81864753,81972580,82160285,83286075,84826481,85582650,85748073,86179577,86516883,86927433,87104382,87370462,87535081,87856493,88838480,89336275,89954673,90177087,90458457,90885281,90968422,91217496,91288160,91348218,91465377,92332662,92541457,92863481,94003633,94490686,94687201,95144585,95913257,96761912,96869705,98051117,98367096,98592342,98765206,98799142,99822777,99943290,...,170644991364633802166987469204213953092443476600923501297252923723101690757413783736458138252077775671748737914677175402786076863323525610681842544556129038218640242806938128906079514510405581372166402818291265474552479306961323640301816504311838334241428633964635707137382640389693038123082051450592511066251408139635663691089382698195694854681299781759033545477548415794442786585615062393355071106755177245470286231812958198495581601784205905067198350743019528926710167429544648912565874914758137806985120079064465907430872621257802786640712322197338484381719622668876613332931473794169131351366155109088023918318822969625181095216924080031654549774536376856495233455577270767580159937538023560883332250716179466700145253769975061769167926557961007036264348760323767572288984045317688402015900980675045646905289508764257069300102539245583394714501083821425240830538025843466942411209918210309565041505107157392237982435751955925546196934334278550981959349388094141904033281580574098087004955063300229602164791828261855546920036055020785919438839130543915778387025203665573090366577800034571693794300371542949952881808232668279895140520593787853100171711119682963739414736123100290684757589781198877452188008476935798074825009194977897715397458979241109855613052186176844352570727290251719560529796094683128139092280734018922192057576205123425582250277955739408749739285570602591204157647635504458693710651033020619307478638418145688032884804191550234220134444776484941317762523627794802505964448547675488554547830222159445696530358028735401702527830630954224855830443840402701200908346954745594411161591927487763738850992678565137410038400876270089406601888547353132584480259122652922813992784609800029407213397357793903367699467453255275478715158111267826558376347922285369752140729509593061238651226524646886508346318846586445225831547266574681168305746279218697889009713451097902562575489196200243579715722641211390099318087068606838844578653260766981593492196536278486742274393604606093977354323220207828149197242997504317727472857203286556133992767797291417310111967776280252246055387893789906737656655779330994123366186103002100635172365176057024111681923689368376359356284614691341745718662775147015023809247283179826916000434651574639311704671585402159821034781241435947333534259322989465814903375780940372974888282164049677483692964275066903208919277264203813732304568962425562207031867563800735119657513939241795634836783946473782477963141801986619984775971633331550970164404849359733613290231033789475854655860896537874302874324518135606664465671552661881941619579149676361200650799054374452183022218450153665799118157258162640389343131187903620910365329347787300295523820626835079029745862227759157666309245546277768532653723620519086015281440192220498499342200106459796916033495806393035974722819910154836790035798290315516942281117480006942504949686822067498359166485828525064406965557513471448151255069853241409474627153256767547136351965418614185284465373265434120503387765199346159136290251000272166191126262876385694230569774304720378814271881882522497784061313430795162965719525074715407861416807772544235394310950686217736180764373999617760058003522435947983903131673426094344757289675793124142563788666298278418515806966725698464596102060330466151517386644628495937101503340646187794357203577425669638576253280125487768397170927728648301881470184735109241729835770883467973605160554117220604366315512684107009182390462991773364879323847279337023057474569346234709487464789000099950404188067598162541913773576571290030151139100011188605807551965395286389994933341667927935181445441650792676294506863208100943080171043106778638002624311767297028472996362288277216963015355052938593354550215827423118670085587838271892847602802661800152575148987900141319018357014858747595407288111218025403891329774699063038670993806353371240227202023665179059819732802005156465279879406184594632623692585986947148472961163285907464256854064423584215733146770120342930501740110485842492182366098031104421889968967391425099491633732378746480505458167729503322157440925856415228187165706596785991615301330683345909987947865182334454368626834065413796615797924020318430982646171982113898563110373844781221516946035745922902512162019774151895108586009837172971446618417016936107317463667583757847530910848893468240275052250094427602470413590214151625140245174411162312214479627741065583126128430204616690628832479368713038624820738555870135458229560297090155154266088046659959445780931096929795692229460891147668877848038744310344278442084828508897470431199153547211232821200052927901581602442206760734994368503513053296101889486521329196285242071883609362529859506251944909014465737327629467169665305333326808964319505394152383871181180280990912627804318587529315789281867156953203}
30064  336933428052926096732709772263756359778984958099257536190265361714819236209459271586747: {150295,180354,510799,1562444,1590583,2644136,2974653,3723596,4099999,4378394,4416909,4737314,5258225,5642444,5705743,5883799,6171554,6309870,6730528,6772999,6966728,7511750,7571844,7837569,8516876,9014100,9253183,9615040,10311799,10816920,10816922,11284136,11538048,11885474,11894863,12103436,12169035,12597122,12694653,12771823,12980304,13536044,13663514,14520343,14602842,16609063,16636076,18860143,19205383,19358385,19894999,20583463,20648944,21394796,21632396,22251489,22299583,22499714,23057324,23230062,23532044,24008503,24173345,24957722,25030399,25200463,25658714,25841193,26558383,26614604,27088364,27099933,27404743,27408674,28745516,29008014,29933023,30138945,30637484,30763325,31363496,31380305,31943983,32148208,32261825,32291276,32793416,32831385,33182045,33611863,34443103,34533350,35020144,35283933,36166734,36450434,36536684,36645873,36892593,36915990,37656366,38714190,38868122,39064783,39228799,39307961,39377056,39397662,39557594,39818454,40066604,41028223,41295136,41440020,42656503,42786728,43065785,43305873,43467943,43590345,44025122,44202688,44299188,44704653,44762503,45569263,45636776,46168076,46457028,46496368,47104844,47235617,47445122,47450553,48135069,48963345,49611489,49678316,49728024,49830554,50530999,51080396,51341373,51530114,51678942,52227568,52308414,53029437,53181356,53219825,53537863,53852863,54413569,54580556,55913998,55944027,56154230,56677196,57013928,57608204,57766063,58073516,58232623,58756014,59008783,60309794,60367857,61072385,61522550,61634263,61791404,62248999,62376945,63168943,63780799,63863790,64105928,64140669,65330714,66292413,66535408,66664154,66671383,66822799,67290909,67385076,67578799,68046764,68121376,69004689,69202604,71048614,71511884,71974874,72119169,72225823,72665324,72820399,73286862,73827060,73982045,74278796,74286722,74852334,74945954,75423176,76636548,77501036,77730956,77733670,78748864,79078985,79109804,79384385,79569164,79815309,79877140,79937198,80108225,80155399,80199074,82680305,83182423,83463554,84114722,84469999,84666673,84765314,84851073,85090394,85300364,85986764,86035783,86071209,86453385,87169063,88333274,88592472,88729484,88778454,89421799,89637121,89982103,90555404,90596769,92211799,92216944,92329928,92766343,93277113,93280404,94656236,94775834,94894782,95018225,95261262,95852568,96129870,96888703,96929996,97024999,97314305,98065676,98434189,99060799,99216366,99251354,99654284,99666531,99735799,99791385,99870583,...,227526655152845069555983292272285270789924635467898001729670564964135587676551711648610851002770367562331650552902900537048102484431367480909123392741505384291520323742584171874772686013874108496221870424388353966069972409281764853735755339082451112321904845286180942849843520519590717497442735267456681421668544186180884921452510264260926472908399709012044727303397887725923715447486749857806761475673569660627048309083944264660775469045607873422931134324026038568946889906059531883421166553010850409313493438752621209907830161677070382187616429596451312508959496891835484443908631725558841801821540145450698557758430626166908126955898773375539399699381835808660311274103027690106879916717364747844443000954905955600193671693300082358890568743948009381685798347098356763051978727090251202687867974233394195873719345019009425733470052327444526286001445095233654440717367791289256548279890947079420055340142876522983976581002607900728262579112371401309279132517458855872044375440765464116006606751066972802886389104349140729226714740027714559251785507391887704516033604887430787155437066712762258392400495390599937175744310224373193520694125050470800228948159577284985886314830800387579676786374931836602917344635914397433100012259970530287196611972321479807484069581569125803427636387002292747373061459577504185456374312025229589410101606831234109667037274319211666319047427470121605543530180672611591614201377360825743304851224194250710513072255400312293512593035313255090350031503726403341285931396900651406063773629545927595373810704980535603370440841272299807773925120536934934544462606327459214882122569983684985134656904753516546717867835026785875469184729804176779307012163537230418657046146400039209617863143725204490265956604340367304953544148357102077835130563047159669520972679457414984868302032862515344461758462115260301108729688766241557740995038958263852012951268130536750100652261600324772954296854948520132424116091475785126104871014355975457989595381704648989699191472808125303139097626943770865596323996672423636630476271048741511990357063055223080149290368373669661407183858386542316875541039107992164488248137336134180229820234742698815575898252491168479141712819588455660958217033529353365078996377573102554667246202099519082272895447202879761379708321914596444712345763985954419871167707920497299851042885399569978257285700089204278559036352271751643072758616567416276042490085067646826210018585655727513115711928631709970617522402648826646367962177775401293552539799146311484386974711719301139541147862050499070499099357514142219287562070215842588826105532901814934201065405832602910696291266871554398824209677550187185790841583871494547153772463716400394031760835780105372994482970345543555078994061703691376871631494025448020375253589627331332456266808613062554711327741857381299630426546873115720047731053754022589708156640009256673266249096089997812221981104700085875954076684628597535006759804321879299502871009023396181802620558152247045953831020578827337850353599128212181720334667029554921501683835180925640759699072960505085695842510029997045415084574393550620959366766287210481889077030058980525747934248290314907685831999490346744004696581263978537508897901459126343052901057498856751718221731037891354409288967597952794802747107288202023182192837994582802004454194917059142938103234226184768337706833983691196227903638197735841960246313478988973114361177957298140214072156294139155087350245476012243187283989031153172431796372449364076632759128312945983286385333466600538917423464216722551698102095053373534852133348251474410069287193715186659911122223903913575260588867723568392675817610801257440228057475704850670165749023062704630661816384369622617353806737251457806066954436564158226780783784362523796803736882400203433531983866855092024476019811663460543050814957367205188439699598750718227991741804494986969602698220238746426310402673541953706505874912792843498256781315929531297281551047876619009138752564778954310862360160457240668986813981123322909821464041472562519958623188566799322178309838328640673944223639337762876587901141886970916220942129047988820401774244461213317263820243112605824835778753885062154397232027091241310194895976151864750813831793041628689261380994563870016216026365535860144781346449563961928824556022581476423284890111677130041214465191290987033403000125903469960551453618868833520326899214883082952639503654754110834837906939488920838443305824950718166427651407826847277639413729453540205688117395546612594374574795906394256305947854863558503797384992413792371256113104678529960574932204729614977094933403903868775469922942347646659158004684071061469185982028438928380322762511479150039812675002593212019287649770172622892887073777769078619092673858869845161574907041321216837072424783372421052375822875937604}
30065  337979988386031051357275106482209994052869886239557868177064675600465306267717953137072: {240472,270531,1953055,2313619,2343666,3305170,3966204,4654495,5585394,5889212,6095887,6567591,7053055,7105971,8413160,8463666,8708410,8978671,9257331,9464805,9699367,9873619,10095792,10450092,10646095,11267625,11357766,12018800,12775314,13521150,13535863,14105170,14195203,14422560,15129295,15194674,15384064,15995863,16225380,16225383,16920055,16926204,17307072,17356762,17828211,18067826,18155154,18876919,18895683,19470456,20018671,20304066,20495271,20795095,21397843,21904263,23416723,24954114,25811180,26743495,27040495,27069922,27443059,28129682,28694239,28821655,28872506,29415055,29668652,30078967,30642626,30973416,32092194,32448594,33268255,33749571,33860455,34454924,34585986,34845093,35247619,35298066,35355314,35931895,36133244,36556591,37436583,37438387,38296855,38488071,38677352,39204370,39921906,39932179,40034674,40185260,40364095,40632546,40684322,40686931,40875007,40991770,41113011,41808019,43118274,43512021,43775180,45084919,45327967,45670855,45699122,45956226,46083871,47045244,47562554,48222312,48436914,48861164,49190124,49221320,49887187,50083255,50208488,50401423,50955463,51418999,51618920,51800025,52230386,52530216,53091272,53483410,54250101,54675651,54805026,55253360,55373985,56092687,56484549,56863543,57045970,57191731,57710095,57741164,58071285,58120460,58218482,58302183,58881055,59065584,59096493,59336391,59477143,59606204,59727681,60099906,61942704,62097895,62160030,62742163,63267404,63850495,64180092,64599439,65284460,65995279,66037683,66148652,66304032,66448782,66476695,66625159,67197871,68225695,68455164,68905256,69252114,69500594,69514471,69685542,69744552,70657266,70705916,70846495,71167683,71267410,72010255,72591895,74517474,74592036,74745831,76620594,77239255,77293207,77295171,77518413,78341352,78462621,79772034,79950674,80132410,80198066,80490476,80689826,80788687,81870834,82109882,82286083,83076307,83169260,83870997,84154831,84231345,84832159,85015794,85058455,85151720,85520892,86232322,86412306,86503255,87110274,88134021,88389884,89389855,89721212,89846768,90321751,90464691,90831655,91900759,92006252,92283825,92687106,92848495,93138626,94278970,94599247,94806067,95405906,95795685,95919703,96158892,96876295,97163695,97715816,97996071,98192551,98436080,98887255,99267859,99461455,99803112,99846425,99933139,99970999,99996231,...,341289982729267604333974938408427906184886953201847002594505847446203381514827567472916276504155551343497475829354350805572153726647051221363685089112258076437280485613876257812159029020811162744332805636582530949104958613922647280603633008623676668482857267929271414274765280779386076246164102901185022132502816279271327382178765396391389709362599563518067090955096831588885573171230124786710142213510354490940572463625916396991163203568411810134396701486039057853420334859089297825131749829516275613970240158128931814861745242515605573281424644394676968763439245337753226665862947588338262702732310218176047836637645939250362190433848160063309099549072753712990466911154541535160319875076047121766664501432358933400290507539950123538335853115922014072528697520647535144577968090635376804031801961350091293810579017528514138600205078491166789429002167642850481661076051686933884822419836420619130083010214314784475964871503911851092393868668557101963918698776188283808066563161148196174009910126600459204329583656523711093840072110041571838877678261087831556774050407331146180733155600069143387588600743085899905763616465336559790281041187575706200343422239365927478829472246200581369515179562397754904376016953871596149650018389955795430794917958482219711226104372353688705141454580503439121059592189366256278184561468037844384115152410246851164500555911478817499478571141205182408315295271008917387421302066041238614957276836291376065769608383100468440268889552969882635525047255589605011928897095350977109095660444318891393060716057470803405055661261908449711660887680805402401816693909491188822323183854975527477701985357130274820076801752540178813203777094706265168960518245305845627985569219600058814426794715587806735398934906510550957430316222535653116752695844570739504281459019186122477302453049293773016692637693172890451663094533149362336611492558437395778019426902195805125150978392400487159431445282422780198636174137213677689157306521533963186984393072556973484548787209212187954708646440415656298394485995008635454945714406573112267985535594582834620223935552560504492110775787579813475313311558661988246732372206004201270344730352114048223363847378736752718712569229382683491437325550294030047618494566359653832000869303149278623409343170804319642069562482871894667068518645978931629806751561880745949776564328099354967385928550133806417838554528407627464609137924851124414063735127601470239315027878483591269673567892947564955926283603973239969551943266663101940328809698719467226580462067578951709311721793075748605748649036271213328931343105323763883239158299352722401301598108748904366044436900307331598236314516325280778686262375807241820730658695574600591047641253670158059491724455518315332618491092555537065307447241038172030562880384440996998684400212919593832066991612786071949445639820309673580071596580631033884562234960013885009899373644134996718332971657050128813931115026942896302510139706482818949254306513535094272703930837228370568930746530868241006775530398692318272580502000544332382252525752771388461139548609440757628543763765044995568122626861590325931439050149430815722833615545088470788621901372435472361528747999235520116007044871895967806263346852188689514579351586248285127577332596556837031613933451396929192204120660932303034773289256991874203006681292375588714407154851339277152506560250975536794341855457296603762940369470218483459671541766935947210321108234441208732631025368214018364780925983546729758647694558674046114949138692469418974929578000199900808376135196325083827547153142580060302278200022377211615103930790572779989866683335855870362890883301585352589013726416201886160342086213557276005248623534594056945992724576554433926030710105877186709100431654846237340171175676543785695205605323600305150297975800282638036714029717495190814576222436050807782659549398126077341987612706742480454404047330358119639465604010312930559758812369189265247385171973894296945922326571814928513708128847168431466293540240685861003480220971684984364732196062208843779937934782850198983267464757492961010916335459006644314881851712830456374331413193571983230602661366691819975895730364668908737253668130827593231595848040636861965292343964227797126220747689562443033892071491845805024324039548303790217172019674345942893236834033872214634927335167515695061821697786936480550104500188855204940827180428303250280490348822324624428959255482131166252256860409233381257664958737426077249641477111740270916459120594180310308532176093319918891561862193859591384458921782295337755696077488620688556884169657017794940862398307094422465642400105855803163204884413521469988737007026106592203778973042658392570484143767218725059719012503889818028931474655258934339330610666653617928639010788304767742362360561981825255608637175058631578563734313906406}
30066  339029780549010618543656241480772689127894696958675994966215520517230074471949422720685: {210413,300590,360708,570893,1021598,1111073,1590689,2488589,3124888,3181166,3205613,3515499,4159853,4457633,4957755,5288272,5765489,5943533,5949306,6832673,6951089,7361515,7447192,7838189,8199998,8251553,8378091,8756788,8833818,9136013,9312689,9474628,10371233,10516450,11284888,11368589,11411486,11767598,11778593,12343108,12619740,12695499,12831089,13062615,13461056,13545998,13822733,13933456,14172173,14753933,15023500,15143688,15675138,17033752,17036649,17477489,18028200,18054689,18506366,18918989,19162971,19230080,19896353,20068589,20281725,20623598,21100493,21157755,21329453,21501089,21633840,21633844,21672653,22529393,22568272,22792011,23076096,23327393,23770948,23789726,24066989,24206872,24338070,25032113,25088813,25194244,25389306,25543646,25881773,25960608,26035143,26786093,27068273,27072088,27101739,27232731,27293873,27327028,29040686,29205684,29991089,30159053,30438833,30456099,31500173,32263975,32336033,33218126,33272152,33842683,34279373,35274989,35440673,35992433,36268013,36763553,37085815,37431171,37588013,37720286,38410766,38716770,39789998,40377713,40604883,40758989,41166926,41194253,41297888,41411693,41737613,42194523,42496973,42659489,42789592,43068655,43264792,43308759,43932427,44172833,44280689,44502978,44599166,44657933,44999428,45166555,45963939,46055693,46114648,46270253,46454863,46460124,46538273,47064088,47073713,47234189,48017006,48138291,48346690,48672891,49473293,49792013,49915444,50060798,50231575,50269553,50400926,50428589,50534573,50587553,51317428,51682386,51878979,52120493,52947099,53032971,53116766,53229208,54176728,54199866,54718975,54809486,54817348,55584173,55823911,56053793,57147053,57491032,57925793,58016028,58288589,58702733,58806555,59064689,59866046,59882859,60052011,60277890,60292099,60948819,61026483,61076455,61274968,61487655,61526650,62304653,62406989,62726992,62760610,63020333,63173489,63530573,63683489,63887966,64296416,64523650,64582552,64677411,64701089,65586832,65662770,65816753,66221489,66364090,67223726,68548683,68886206,68934339,69066700,69891053,70040288,70340513,70567866,70888973,71343831,71635313,71834033,72176455,72333468,72650575,72655371,72825713,72875213,72900868,73073368,73291746,73785186,73831980,73863533,74507755,74602673,75312732,75536333,76075553,77428380,77736244,78129566,78345579,78457598,78465773,78615922,78754112,78795324,79084255,79115188,79636908,79726253,80133208,80161313,80225115,80306189,81173933,81605575,81750989,82056446,82207539,82374833,82590272,82685815,82880040,83092973,84047693,85094189,85313006,85501339,85568955,85573456,85663373,86042189,86131570,86373233,86611746,86935886,87180690,87222689,87327723,88050244,88382395,88405376,88492013,88598376,89007473,89334989,89409306,89525006,90035489,90149859,91138526,91273552,91431089,92264993,92336152,92914056,92992736,93240045,93603053,94209688,94471234,94890244,94901106,95437613,95666033,96258989,96270138,96623213,96941489,97758113,97926690,97984493,98165453,99113393,99222978,99356632,99456048,99661108,99673173,99878189,...,511934974093901406500962407612641859277330429802770503891758771169305072272241351209374414756233327015246213744031526208358230589970576832045527633668387114655920728420814386718238543531216744116499208454873796423657437920883970920905449512935515002724285901893907121412147921169079114369246154351777533198754224418906991073268148094587084564043899345277100636432645247383328359756845187180065213320265531736410858695438874595486744805352617715201595052229058586780130502288633946737697624744274413420955360237193397722292617863773408359922136966592015453145158868006629839998794421382507394054098465327264071754956468908875543285650772240094963649323609130569485700366731812302740479812614070682649996752148538400100435761309925185307503779673883021108793046280971302716866952135953065206047702942025136940715868526292771207900307617736750184143503251464275722491614077530400827233629754630928695124515321472176713947307255867776638590803002835652945878048164282425712099844741722294261014865189900688806494375484785566640760108165062357758316517391631747335161075610996719271099733400103715081382901114628849858645424698004839685421561781363559300515133359048891218244208369300872054272769343596632356564025430807394224475027584933693146192376937723329566839156558530533057712181870755158681589388284049384417276842202056766576172728615370276746750833867218226249217856711807773612472942906513376081131953099061857922435915254437064098654412574650702660403334329454823953287570883384407517893345643026465663643490666478337089591074086206205107583491892862674567491331521208103602725040864236783233484775782463291216552978035695412230115202628810268219805665642059397753440777367958768441978353829400088221640192073381710103098402359765826436145474333803479675129043766856109256422188528779183715953679573940659525038956539759335677494641799724043504917238837656093667029140353293707687726467588600730739147167923634170297954261205820516533735959782300944780476589608835460226823180813818281932062969660623484447591728992512953182418571609859668401978303391874251930335903328840756738166163681369720212969967337992982370098558309006301905517095528171072335045771068105129078068853844074025237155988325441045071427741849539480748001303954723917935114014756206479463104343724307842000602777968968397444710127342821118924664846492149032451078892825200709626757831792611441196913706887276686621095602691402205358972541817725386904510351839421347433889425405959859954327914899994652910493214548079200839870693101368427563967582689613622908622973554406819993397014657985645824858737449029083601952397163123356549066655350460997397354471774487921168029393563710862731095988043361900886571461880505237089237586683277472998927736638833305597961170861557258045844320576661495498026600319379390748100487419179107924168459730464510370107394870946550826843352440020827514849060466202495077499457485575193220896672540414344453765209559724228423881459770302641409055896255842555853396119796302361510163295598038477408870753000816498573378788629157082691709322914161136442815645647567493352183940292385488897158575224146223584250423317632706182932852058653208542293121998853280174010567307843951709395020278283034271869027379372427691365998894835255547420900177095393788306180991398454552159933885487811304510021938563383071610732277008915728759840376463305191512783185944905644410554205327725189507312650403920815481662351661813098946538052321027547171388975320094637971541838011069172423708038704128462394367000299851212564202794487625741320729713870090453417300033565817422655896185859169984800025003783805544336324952378028883520589624302829240513129320335914007872935301891085418989086864831650889046065158815780063650647482269356010256763514815678542808407985400457725446963700423957055071044576242786221864333654076211673989324097189116012981419060113720681606070995537179459198406015469395839638218553783897871077757960841445418883489857722392770562193270752647199440310361028791505220331457527476547098294093313265669906902174275298474901197136239441516374503188509966472322777569245684561497119790357974845903992050037729963843595547003363105880502196241389847393772060955292947938515946341695689331121534343664550838107237768707536486059322455685325758029511518914339855251050808321952391002751273542592732546680404720825156750283282807411240770642454875420735523233486936643438883223196749378385290613850071886497438106139115874462215667610406374688680891270465462798264139979878337342793290789387076688382673443006633544116232931032835326254485526692411293597460641633698463600158783704744807326620282204983105510539159888305668459563987588855726215650828087589578518755834727043397211982888401508995915999980426892958516182457151613543540842972737883412955762587947367845601470859609}
30067  340082814463761896980645681218533737778098555168508889949800009429077942182292284821734: {450885,480944,541062,1532397,2734277,3906110,4627238,4687332,4771749,6516293,6610340,7932408,8923959,9308990,9874277,10840469,10945985,11170788,11778424,11843285,12191774,12299997,13135182,13250727,14106110,14196149,14211942,14904533,15428885,15774675,15996929,16776149,16826320,16927332,17117229,17416820,17651397,17957342,18514662,18779375,18878177,18929610,19398734,19747238,20191584,20318997,20900184,21097733,21181013,21292190,21399269,22101893,22535250,22715532,23512707,23688077,24037600,24076349,25550628,27042300,27042305,27071726,27674309,27759549,28210340,28390406,28845120,29113133,29713685,30258590,30389348,30768128,30935397,31098593,31492805,31966253,31991726,32450760,32450766,33617669,33840110,33852408,34150637,34158785,34614144,34713524,35656422,35684589,35906453,36135652,36310308,36507105,37440893,37753838,37791366,37856693,38083959,38315469,38940912,40037342,40350317,40608132,40990542,41181077,41590190,41656277,42066149,42795686,43561029,43693973,43808526,45493313,45743093,46575557,46833446,47404637,49262069,49409477,49827189,49908228,50304653,50660669,51622360,52140437,52437197,52860029,53282177,53486990,53615597,54080990,54139844,54886118,56249285,56259364,56509733,56580429,57388478,57468293,57616149,57643310,57745012,58075155,58830110,59337304,59684997,60157934,61285252,61750389,61946832,62394305,63399149,63939197,64146785,64184388,64897188,66536510,66754467,66811757,66898749,67202369,67499142,67720910,68521685,68636069,68909848,69171972,69690186,70116557,70291169,70495238,70596132,70710628,71863790,72025509,72199373,72266488,72520035,73113182,73180349,74149829,74463413,74873166,74876774,75091197,75601389,76593710,76976142,77354704,77523579,78408740,78702293,79675149,79843812,79864358,80069348,80370520,80728190,80794133,81265092,81299799,81368644,81373862,81750014,81983540,82214229,82226022,82297373,82433477,82623773,83616038,85892453,86236548,86333375,86937053,87024042,87387557,87550360,89390693,89799069,90169838,90416835,90655934,91126085,91341710,91398244,91912452,91967237,92167742,92289975,93067373,94090488,94140915,94812413,95125108,95515973,95831949,96444624,96785475,96873828,96998333,97170305,97247189,97722328,98380248,98442640,98494155,98893985,99185093,99546135,99774374,...,682579965458535208667949876816855812369773906403694005189011694892406763029655134945832553008311102686994951658708701611144307453294102442727370178224516152874560971227752515624318058041622325488665611273165061898209917227845294561207266017247353336965714535858542828549530561558772152492328205802370044265005632558542654764357530792782779418725199127036134181910193663177771146342460249573420284427020708981881144927251832793982326407136823620268793402972078115706840669718178595650263499659032551227940480316257863629723490485031211146562849288789353937526878490675506453331725895176676525405464620436352095673275291878500724380867696320126618199098145507425980933822309083070320639750152094243533329002864717866800581015079900247076671706231844028145057395041295070289155936181270753608063603922700182587621158035057028277200410156982333578858004335285700963322152103373867769644839672841238260166020428629568951929743007823702184787737337114203927837397552376567616133126322296392348019820253200918408659167313047422187680144220083143677755356522175663113548100814662292361466311200138286775177201486171799811527232930673119580562082375151412400686844478731854957658944492401162739030359124795509808752033907743192299300036779911590861589835916964439422452208744707377410282909161006878242119184378732512556369122936075688768230304820493702329001111822957634998957142282410364816630590542017834774842604132082477229914553672582752131539216766200936880537779105939765271050094511179210023857794190701954218191320888637782786121432114941606810111322523816899423321775361610804803633387818982377644646367709951054955403970714260549640153603505080357626407554189412530337921036490611691255971138439200117628853589431175613470797869813021101914860632445071306233505391689141479008562918038372244954604906098587546033385275386345780903326189066298724673222985116874791556038853804391610250301956784800974318862890564845560397272348274427355378314613043067926373968786145113946969097574418424375909417292880831312596788971990017270909891428813146224535971071189165669240447871105121008984221551575159626950626623117323976493464744412008402540689460704228096446727694757473505437425138458765366982874651100588060095236989132719307664001738606298557246818686341608639284139124965743789334137037291957863259613503123761491899553128656198709934771857100267612835677109056815254929218275849702248828127470255202940478630055756967182539347135785895129911852567207946479939103886533326203880657619397438934453160924135157903418623443586151497211497298072542426657862686210647527766478316598705444802603196217497808732088873800614663196472629032650561557372524751614483641461317391149201182095282507340316118983448911036630665236982185111074130614894482076344061125760768881993997368800425839187664133983225572143898891279640619347160143193161262067769124469920027770019798747288269993436665943314100257627862230053885792605020279412965637898508613027070188545407861674456741137861493061736482013551060797384636545161004001088664764505051505542776922279097218881515257087527530089991136245253723180651862878100298861631445667231090176941577243802744870944723057495998471040232014089743791935612526693704377379029158703172496570255154665193113674063227866902793858384408241321864606069546578513983748406013362584751177428814309702678554305013120501951073588683710914593207525880738940436966919343083533871894420642216468882417465262050736428036729561851967093459517295389117348092229898277384938837949859156000399801616752270392650167655094306285160120604556400044754423230207861581145559979733366671711740725781766603170705178027452832403772320684172427114552010497247069188113891985449153108867852061420211754373418200863309692474680342351353087571390411210647200610300595951600565276073428059434990381629152444872101615565319098796252154683975225413484960908808094660716239278931208020625861119517624738378530494770343947788593891844653143629857027416257694336862932587080481371722006960441943369968729464392124417687559875869565700397966534929514985922021832670918013288629763703425660912748662826387143966461205322733383639951791460729337817474507336261655186463191696081273723930584687928455594252441495379124886067784142983691610048648079096607580434344039348691885786473668067744429269854670335031390123643395573872961100209000377710409881654360856606500560980697644649248857918510964262332504513720818466762515329917474852154499282954223480541832918241188360620617064352186639837783123724387719182768917843564590675511392154977241377113768339314035589881724796614188844931284800211711606326409768827042939977474014052213184407557946085316785140968287534437450119438025007779636057862949310517868678661221333307235857278021576609535484724721123963650511217274350117263157127468627812812}
30068  341139100082465130510395611889987466807007829268927311326486140172080887389263805922680: {420826,601180,721416,811593,1141786,2043196,2222146,2369131,3181378,3265531,4517467,4977178,5859165,6249776,6362332,6411226,6940857,7030998,8262925,8319706,8915266,9136627,9915510,10306121,10576544,11530978,11779387,11887066,11898612,13007131,13532227,13665346,13902178,13963485,14405947,14723030,14754931,14894384,15676378,15974107,16399996,16503106,16756182,17513576,17667636,18272026,18287661,18574747,18625378,18949256,19702773,20742466,21032900,21159165,21317913,21771025,22188427,22569776,22737178,22822972,23535196,23557186,24686216,25090531,25239480,25390998,25600507,25662178,26125230,26922112,26936013,27091996,27295747,27645466,27771993,27866912,28140667,28344346,28394415,28815307,29098101,29320531,29507866,29620857,30047000,30287376,30496867,31350276,31938285,33802875,34067504,34073298,34669267,34954978,35262925,35498347,36056400,36109378,36821131,37012732,37315987,37837978,37986685,38325942,38460160,39616747,39792706,40107931,40137178,40563450,40607589,41247196,41414587,42066187,42200986,42315510,42554131,42585609,42658906,43002178,43267680,43267688,43345306,43391905,43690147,45058786,45136544,45169565,45387885,45584022,46112587,46152192,46654786,47077027,47541896,47579452,47987589,48133978,48413744,48676140,48676149,49795531,50064226,50177626,50388488,50591131,50760165,50778612,51087292,51763546,51920141,51921216,52070286,52651267,53484633,53572186,54136546,54144176,54203478,54465462,54587746,54654056,55796947,56109931,56422627,56578867,56630757,56687049,58081372,58411368,59982178,60056013,60296117,60318106,60877666,60912198,61485813,61769653,61848187,62385285,62616067,63000346,63075931,63233177,64193529,64527950,64672066,65669587,65712789,65821507,65973713,66436252,66544304,67336747,67674805,67685366,68558746,69896131,70250169,70324205,70549978,70881346,71984866,72181265,72536026,72880531,73177387,73527106,74066227,74171630,74657347,74862342,75176026,75440572,76130107,76276987,76606565,76821532,77433540,77741827,79579996,80230485,80755426,81121485,81209766,81228067,81517978,82093147,82329177,82333852,82388506,82595776,82823386,83475226,83815531,84101587,84389046,84993946,85318978,85507037,85579184,85669747,86082717,86137310,86464965,86529584,86617518,86663131,87864854,88245165,88345666,88388285,88561378,89005956,89060947,89198332,89315866,89998856,90236901,90333110,91927878,92111386,92229296,92540506,92909726,92920248,93076546,93241627,93656131,94128176,94147426,94468378,94620787,95992747,96034012,96129547,96276582,96693380,97345782,97493587,98010925,98946586,99584026,99804765,99830888,...,1023869948187802813001924815225283718554660859605541007783517542338610144544482702418748829512466654030492427488063052416716461179941153664091055267336774229311841456841628773436477087062433488232998416909747592847314875841767941841810899025871030005448571803787814242824295842338158228738492308703555066397508448837813982146536296189174169128087798690554201272865290494766656719513690374360130426640531063472821717390877749190973489610705235430403190104458117173560261004577267893475395249488548826841910720474386795444585235727546816719844273933184030906290317736013259679997588842765014788108196930654528143509912937817751086571301544480189927298647218261138971400733463624605480959625228141365299993504297076800200871522619850370615007559347766042217586092561942605433733904271906130412095405884050273881431737052585542415800615235473500368287006502928551444983228155060801654467259509261857390249030642944353427894614511735553277181606005671305891756096328564851424199689483444588522029730379801377612988750969571133281520216330124715516633034783263494670322151221993438542199466800207430162765802229257699717290849396009679370843123562727118601030266718097782436488416738601744108545538687193264713128050861614788448950055169867386292384753875446659133678313117061066115424363741510317363178776568098768834553684404113533152345457230740553493501667734436452498435713423615547224945885813026752162263906198123715844871830508874128197308825149301405320806668658909647906575141766768815035786691286052931327286981332956674179182148172412410215166983785725349134982663042416207205450081728473566466969551564926582433105956071390824460230405257620536439611331284118795506881554735917536883956707658800176443280384146763420206196804719531652872290948667606959350258087533712218512844377057558367431907359147881319050077913079518671354989283599448087009834477675312187334058280706587415375452935177201461478294335847268340595908522411641033067471919564601889560953179217670920453646361627636563864125939321246968895183457985025906364837143219719336803956606783748503860671806657681513476332327362739440425939934675985964740197116618012603811034191056342144670091542136210258156137707688148050474311976650882090142855483699078961496002607909447835870228029512412958926208687448615684001205555937936794889420254685642237849329692984298064902157785650401419253515663585222882393827413774553373242191205382804410717945083635450773809020703678842694867778850811919719908655829799989305820986429096158401679741386202736855127935165379227245817245947108813639986794029315971291649717474898058167203904794326246713098133310700921994794708943548975842336058787127421725462191976086723801773142923761010474178475173366554945997855473277666611195922341723114516091688641153322990996053200638758781496200974838358215848336919460929020740214789741893101653686704880041655029698120932404990154998914971150386441793345080828688907530419119448456847762919540605282818111792511685111706792239592604723020326591196076954817741506001632997146757577258314165383418645828322272885631291295134986704367880584770977794317150448292447168500846635265412365865704117306417084586243997706560348021134615687903418790040556566068543738054758744855382731997789670511094841800354190787576612361982796909104319867770975622609020043877126766143221464554017831457519680752926610383025566371889811288821108410655450379014625300807841630963324703323626197893076104642055094342777950640189275943083676022138344847416077408256924788734000599702425128405588975251482641459427740180906834600067131634845311792371718339969600050007567611088672649904756057767041179248605658481026258640671828015745870603782170837978173729663301778092130317631560127301294964538712020513527029631357085616815970800915450893927400847914110142089152485572443728667308152423347978648194378232025962838120227441363212141991074358918396812030938791679276437107567795742155515921682890837766979715444785541124386541505294398880620722057583010440662915054953094196588186626531339813804348550596949802394272478883032749006377019932944645555138491369122994239580715949691807984100075459927687191094006726211761004392482779694787544121910585895877031892683391378662243068687329101676214475537415072972118644911370651516059023037828679710502101616643904782005502547085185465093360809441650313500566565614822481541284909750841471046466973873286877766446393498756770581227700143772994876212278231748924431335220812749377361782540930925596528279959756674685586581578774153376765346886013267088232465862065670652508971053384822587194921283267396927200317567409489614653240564409966211021078319776611336919127975177711452431301656175179157037511669454086794423965776803017991831999960853785917032364914303227087081685945475766825911525175894735691202941719218}
30069  342198647387675597518320969146167571053268556356029737639547104646127552833890076963820: {631239,751475,901770,961888,1082124,1712679,2553995,3064794,3333219,3635687,4772067,5468554,7465767,7812220,7952915,9254476,9374664,9543498,9579251,9616839,10546497,11741339,12479559,13032586,13220680,13372899,14873265,15324379,15515687,15864816,16580599,16777267,17296467,17830599,17847918,18617980,19748554,20498019,20499995,20853267,20917667,21099139,21600439,21680938,21891970,22084545,22341576,23514567,23556848,23686570,24383548,24599994,24754659,25134273,25239251,26120419,26270364,26291125,26501454,27408039,27938067,28212220,28392298,28423884,28453867,28528715,29418995,29809066,30857770,31113699,31549350,31993858,33552298,33652640,33854664,33864995,34105767,34234458,34757251,34833640,35302794,35335779,35914684,37029324,37558750,37756354,37778299,37859220,37859227,38086497,38168359,38493267,38797468,39187845,39494476,40383168,40637994,41468199,41599159,41800368,42195466,42362026,42434899,42516519,42584380,42798538,43124807,44089927,44203786,44261799,45070500,45090947,45431064,46265915,47025414,47376154,47712499,47822299,48075200,48152698,51101256,51109947,51558995,52432467,54060019,54084600,54084610,54143452,54164067,55348618,55438567,55519098,56420680,56756967,56780812,57488913,57690240,58226266,58606279,58831751,59427370,59474315,59689059,60205767,60517180,60778696,60845175,61536256,61870794,62197186,62750567,62985610,63301479,63473265,63859115,63932506,63983452,63988359,64503267,64901520,64901532,65017959,66634067,67235338,67588179,67680220,67704816,68301274,68317570,68376033,69228288,69427048,69982179,71312844,71369178,71812906,72200967,72271304,72601715,72620616,73014210,73369591,74881786,74926267,75096339,75266439,75507676,75582732,75713386,76167918,76630938,77645319,77881824,78105429,78394151,78748999,80074684,80358279,80700634,80919259,81204819,81216264,81305217,81698193,81881619,81981084,82362154,83045315,83180380,83312554,84132298,85591372,86311879,86485867,87122058,87352027,87387946,87617052,87874139,88145651,89805499,89973267,90477159,90903539,90986626,91316499,91368297,91486186,93151114,93666892,94300715,94500519,94809274,95930359,96026915,96791925,97008099,98070779,98524138,98818954,99474995,99654378,99816456,...,1535804922281704219502887222837925577831991289408311511675276313507915216816724053628123244268699981045738641232094578625074691769911730496136582901005161343967762185262443160154715630593650232349497625364621389270972313762651912762716348538806545008172857705681721364236443763507237343107738463055332599596262673256720973219804444283761253692131698035831301909297935742149985079270535561540195639960796595209232576086316623786460234416057853145604785156687175760340391506865901840213092874232823240262866080711580193166877853591320225079766410899776046359435476604019889519996383264147522182162295395981792215264869406726626629856952316720284890947970827391708457101100195436908221439437842212047949990256445615200301307283929775555922511339021649063326379138842913908150600856407859195618143108826075410822147605578878313623700922853210250552430509754392827167474842232591202481700889263892786085373545964416530141841921767603329915772409008506958837634144492847277136299534225166882783044595569702066419483126454356699922280324495187073274949552174895242005483226832990157813299200200311145244148703343886549575936274094014519056264685344090677901545400077146673654732625107902616162818308030789897069692076292422182673425082754801079438577130813169988700517469675591599173136545612265476044768164852148153251830526606170299728518185846110830240252501601654678747653570135423320837418828719540128243395859297185573767307745763311192295963237723952107981210002988364471859862712650153222553680036929079396990930471999435011268773222258618615322750475678588023702473994563624310808175122592710349700454327347389873649658934107086236690345607886430804659416996926178193260322332103876305325935061488200264664920576220145130309295207079297479308436423001410439025387131300568327769266565586337551147861038721821978575116869619278007032483925399172130514751716512968281001087421059881123063179402765802192217441503770902510893862783617461549601207879346902834341429768826506380680469542441454845796188908981870453342775186977538859547255714829579005205934910175622755791007709986522270214498491044109160638909902013978947110295674927018905716551286584513217005137313204315387234206561532222075711467964976323135214283225548618442244003911864171753805342044268619438389313031172923526001808333906905192334130382028463356773994539476447097353236678475602128880273495377834323590741120661830059863286808074206616076917625453176160713531055518264042301668276217879579862983744699983958731479643644237602519612079304105282691902748068840868725868920663220459980191043973956937474576212347087250805857191489370069647199966051382992192063415323463763504088180691132588193287964130085702659714385641515711267712760049832418996783209916499916793883512584671774137532961729984486494079800958138172244301462257537323772505379191393531110322184612839652480530057320062482544547181398607485232498372456725579662690017621243033361295628679172685271644379310907924227167688767527667560188359388907084530489886794115432226612259002449495720136365887471248075127968742483409328446936942702480056551820877156466691475725672438670752751269952898118548798556175959625626879365996559840522031701923531855128185060834849102815607082138117283074097996684505766642262700531286181364918542974195363656479801656463433913530065815690149214832196831026747186279521129389915574538349557834716933231662615983175568521937951211762446444987054985439296839614156963082641514166925960283913914625514033207517271124116112385387183101000899553637692608383462877223962189141610271360251900100697452267967688557577509954400075011351416633008974857134086650561768872908487721539387961007742023618805905673256256967260594494952667138195476447340190951942446808068030770290544447035628425223956201373176340891101271871165213133728728358665593000962228635021967972291567348038944257180341162044818212986611538377595218046408187518914655661351693613233273882524336256650469573167178311686579812257941598320931083086374515660994372582429641294882279939797009720706522825895424703591408718324549123509565529899416968332707737053684491359371073924537711976150113189891530786641010089317641506588724169542181316182865878843815547839025087067993364603030993652514321713306122609458177967367055977274088534556743019565753152424965857173008253820627778197640041214162475470250849848422233722311927364626262206569700460809930316649669590248135155871841550215659492314318417347623386647002831219124066042673811396388394792419939635012028379872368161230065148020329019900632348698793098505978763456580077233880792381924901095390800476351114234421979860846614949316531617479664917005378691962766567178646952484262768735556267504181130191635948665204526987747999941280678875548547371454840630622528918213650238867287763842103536804412578827}
30070  343261466392415777518427765015348911182478462166574543515794600512004990387196381621762: {330649,691081,841652,1202360,1231189,1352655,1442832,1623186,1770649,2283572,4086392,4444292,4458229,4597191,4738262,5706889,5884981,6362756,6531062,6952021,7484569,8202831,8370709,9034934,9255049,9431701,9765275,9954356,10313881,10490101,11568095,11718330,11897269,12499552,12724664,12822452,13881714,14061996,14315247,14872201,16525850,16639412,16786069,17306521,17830532,18172501,18273254,18863989,19036681,19381849,19548879,19831020,20071321,20612242,21153088,21789961,22646581,23061956,23272475,23558774,23774132,23797224,24183961,24524809,25205641,26014262,26771877,27064454,27330692,27410389,27579481,27804356,27926970,28811894,29446060,29509862,29622831,29788768,30443029,30479435,30778549,31352756,31616089,31948214,32117749,32521407,32799992,32837955,33006212,33512364,35027152,35265275,35335272,35529855,36544052,36575322,36768661,36899991,37149494,37250756,37898512,37922569,39237001,39400981,39405546,39752181,40383349,40873561,41200009,41484932,41526169,42065800,42318330,42588447,42635826,42827929,43152649,43477081,43542050,44286901,44376854,44713599,44771929,44893355,45139552,45474356,45645944,45740041,46286655,46544821,47070392,47114372,47324025,47347801,47990787,48496835,48788629,49368095,49372432,50181062,50328447,50478960,50541721,50781996,51201014,51324356,51351687,52250460,52954191,53181359,53230475,53233909,53706841,53844224,53872026,54183992,54591494,55290932,55435381,55543986,55733824,56281334,56338125,56634531,56688692,56788830,57155209,57630614,57934069,58196202,58400521,58641062,59015732,59241714,59486389,60094000,60105301,60574752,60748667,60956991,60993734,62415961,62700552,63029401,63237391,63293199,63543039,63794581,63876570,64197807,64710421,65927509,66305679,66837301,66988681,67605750,67679315,67895449,68135008,68146596,69036671,69338534,69701209,69909956,70001161,70525850,70538121,70976015,70996694,71064231,71198089,71943829,72112800,72218756,72229047,72241621,72984841,73000499,73642262,74025464,74631974,74908789,75646475,75675956,75973370,76086709,76651884,76920320,78282889,79233494,79447561,79585412,79979315,80215862,80274356,80318041,81126900,81126915,81215178,81474649,82494392,82829174,83022927,83200921,83278647,83344309,84060169,84132374,84401972,84600275,84631020,85108262,85171218,85201801,85317812,85770889,86004356,86196949,86480629,86535360,86535376,86690612,86783810,87329941,87339399,87380294,89141055,89441881,89722249,90002329,90117572,90273088,90339130,90421909,90775770,91168044,92225174,92304384,92806191,93295779,93309572,94154054,94306741,94384595,94478415,94744727,94857109,95083792,95158904,95898759,95975178,96267956,96827488,96910729,97047061,97352280,97352298,98453887,98948149,99591062,99893401,...,2047739896375605626003849630450567437109321719211082015567035084677220289088965404837497659024933308060984854976126104833432922359882307328182110534673548458623682913683257546872954174124866976465996833819495185694629751683535883683621798051742060010897143607575628485648591684676316457476984617407110132795016897675627964293072592378348338256175597381108402545730580989533313439027380748720260853281062126945643434781755498381946979221410470860806380208916234347120522009154535786950790498977097653683821440948773590889170471455093633439688547866368061812580635472026519359995177685530029576216393861309056287019825875635502173142603088960379854597294436522277942801466927249210961919250456282730599987008594153600401743045239700741230015118695532084435172185123885210867467808543812260824190811768100547762863474105171084831601230470947000736574013005857102889966456310121603308934519018523714780498061285888706855789229023471106554363212011342611783512192657129702848399378966889177044059460759602755225977501939142266563040432660249431033266069566526989340644302443986877084398933600414860325531604458515399434581698792019358741686247125454237202060533436195564872976833477203488217091077374386529426256101723229576897900110339734772584769507750893318267356626234122132230848727483020634726357553136197537669107368808227066304690914461481106987003335468872904996871426847231094449891771626053504324527812396247431689743661017748256394617650298602810641613337317819295813150283533537630071573382572105862654573962665913348358364296344824820430333967571450698269965326084832414410900163456947132933939103129853164866211912142781648920460810515241072879222662568237591013763109471835073767913415317600352886560768293526840412393609439063305744581897335213918700516175067424437025688754115116734863814718295762638100155826159037342709978567198896174019668955350624374668116561413174830750905870354402922956588671694536681191817044823282066134943839129203779121906358435341840907292723255273127728251878642493937790366915970051812729674286439438673607913213567497007721343613315363026952664654725478880851879869351971929480394233236025207622068382112684289340183084272420516312275415376296100948623953301764180285710967398157922992005215818895671740456059024825917852417374897231368002411111875873589778840509371284475698659385968596129804315571300802838507031327170445764787654827549106746484382410765608821435890167270901547618041407357685389735557701623839439817311659599978611641972858192316803359482772405473710255870330758454491634491894217627279973588058631942583299434949796116334407809588652493426196266621401843989589417887097951684672117574254843450924383952173447603546285847522020948356950346733109891995710946555333222391844683446229032183377282306645981992106401277517562992401949676716431696673838921858041480429579483786203307373409760083310059396241864809980309997829942300772883586690161657377815060838238896913695525839081210565636223585023370223413584479185209446040653182392153909635483012003265994293515154516628330766837291656644545771262582590269973408735761169541955588634300896584894337001693270530824731731408234612834169172487995413120696042269231375806837580081113132137087476109517489710765463995579341022189683600708381575153224723965593818208639735541951245218040087754253532286442929108035662915039361505853220766051132743779622577642216821310900758029250601615683261926649406647252395786152209284110188685555901280378551886167352044276689694832154816513849577468001199404850256811177950502965282918855480361813669200134263269690623584743436679939200100015135222177345299809512115534082358497211316962052517281343656031491741207564341675956347459326603556184260635263120254602589929077424041027054059262714171233631941601830901787854801695828220284178304971144887457334616304846695957296388756464051925676240454882726424283982148717836793624061877583358552874215135591484311031843365781675533959430889571082248773083010588797761241444115166020881325830109906188393176373253062679627608697101193899604788544957766065498012754039865889291110276982738245988479161431899383615968200150919855374382188013452423522008784965559389575088243821171791754063785366782757324486137374658203352428951074830145944237289822741303032118046075657359421004203233287809564011005094170370930186721618883300627001133131229644963082569819501682942092933947746573755532892786997513541162455400287545989752424556463497848862670441625498754723565081861851193056559919513349371173163157548306753530693772026534176464931724131341305017942106769645174389842566534793854400635134818979229306481128819932422042156639553222673838255950355422904862603312350358314075023338908173588847931553606035983663999921707571834064729828606454174163371890951533651823050351789471382405883438436}
30071  344327567140267795765373398114207125802959575957685229539682285254280169630787830846477: {30071,1052065,1262478,1502950,1803540,1923776,2164248,2434779,2854465,3425358,3575593,4296721,5107990,5555365,6129588,6666438,7107393,7271374,7953445,9544134,9796593,10239889,10937108,11134081,11320933,12442945,13122673,13552401,14931534,15516721,15624440,15905830,16028065,17577495,18336721,18508952,18749328,19086996,19158502,19233678,20799265,20822571,20919061,21092994,21938041,22288165,23378569,23421409,23482678,24788775,24959118,25240933,25539361,26065172,26441360,26745798,26979889,27409881,28699993,28827445,29717665,29746530,30648758,30918363,31031374,31729632,33161198,33284449,33554534,34163365,34592934,34755445,35338161,35661198,35695836,36189481,36807575,37224121,37235960,39021393,39190945,39497108,39940201,40596681,40695073,40996038,40999990,41186593,41257765,41706534,41835334,41890455,42198278,43200878,43217841,43361876,43783940,44169090,44264793,44683152,45680065,45749209,46093093,46563445,47029134,47113696,47373140,47410993,47922321,48767096,49199988,49509318,50268546,50411509,50478502,50965681,51300913,51856165,52240838,52540728,52582250,53002908,53289301,54473593,54816078,54862983,55724241,55876134,56424440,56784596,56842945,56847768,56907734,57057430,57777241,58835689,58837990,58892965,59108319,59489089,59618132,61326073,61715540,62227398,63098700,63407641,63477495,63953739,63987716,64155445,64612393,64713121,64772281,65313075,66565281,67104596,67305280,67709328,67729990,68211534,68468916,69113665,69514502,69528433,69566881,69667280,69676693,70605588,70671558,70860865,71829368,72111313,72182593,73190161,73769665,74058648,74159761,74473369,74493001,75117500,75271593,75512708,75556598,75718440,75718454,76172994,76336718,76801521,76986534,77594936,78375690,78988952,79050169,80766336,80808039,81275988,81887241,82936398,83198318,83264041,83315979,83600736,84253081,84390932,84422001,84724052,84869798,85033038,85168760,85183245,85597076,86249614,86445921,87210649,87294303,87387445,87399241,87880021,87961593,88179854,88407572,88523598,88801009,88862571,89402761,90139921,90141000,90181894,90273445,90862128,91490601,91919221,92531830,92647633,93681793,94050828,94594945,94752308,95424998,95644598,95814855,96150400,96305396,96965161,98212273,99481765,...,3071609844563408439005774445675851155663982578816623023350552627015830433633448107256246488537399962091477282464189157250149383539823460992273165802010322687935524370524886320309431261187300464698995250729242778541944627525303825525432697077613090016345715411363442728472887527014474686215476926110665199192525346513441946439608888567522507384263396071662603818595871484299970158541071123080391279921593190418465152172633247572920468832115706291209570313374351520680783013731803680426185748465646480525732161423160386333755707182640450159532821799552092718870953208039779039992766528295044364324590791963584430529738813453253259713904633440569781895941654783416914202200390873816442878875684424095899980512891230400602614567859551111845022678043298126652758277685827816301201712815718391236286217652150821644295211157756627247401845706420501104861019508785654334949684465182404963401778527785572170747091928833060283683843535206659831544818017013917675268288985694554272599068450333765566089191139404132838966252908713399844560648990374146549899104349790484010966453665980315626598400400622290488297406687773099151872548188029038112529370688181355803090800154293347309465250215805232325636616061579794139384152584844365346850165509602158877154261626339977401034939351183198346273091224530952089536329704296306503661053212340599457036371692221660480505003203309357495307140270846641674837657439080256486791718594371147534615491526622384591926475447904215962420005976728943719725425300306445107360073858158793981860943998870022537546444517237230645500951357176047404947989127248621616350245185420699400908654694779747299317868214172473380691215772861609318833993852356386520644664207752610651870122976400529329841152440290260618590414158594958616872846002820878050774262601136655538533131172675102295722077443643957150233739238556014064967850798344261029503433025936562002174842119762246126358805531604384434883007541805021787725567234923099202415758693805668682859537653012761360939084882909691592377817963740906685550373955077719094511429659158010411869820351245511582015419973044540428996982088218321277819804027957894220591349854037811433102573169026434010274626408630774468413123064444151422935929952646270428566451097236884488007823728343507610684088537238876778626062345847052003616667813810384668260764056926713547989078952894194706473356951204257760546990755668647181482241323660119726573616148413232153835250906352321427062111036528084603336552435759159725967489399967917462959287288475205039224158608210565383805496137681737451737841326440919960382087947913874949152424694174501611714382978740139294399932102765984384126830646927527008176361382265176386575928260171405319428771283031422535425520099664837993566419832999833587767025169343548275065923459968972988159601916276344488602924515074647545010758382787062220644369225679304961060114640124965089094362797214970464996744913451159325380035242486066722591257358345370543288758621815848454335377535055335120376718777814169060979773588230864453224518004898991440272731774942496150255937484966818656893873885404960113103641754312933382951451344877341505502539905796237097597112351919251253758731993119681044063403847063710256370121669698205631214164276234566148195993369011533284525401062572362729837085948390727312959603312926867827060131631380298429664393662053494372559042258779831149076699115669433866463325231966351137043875902423524892889974109970878593679228313926165283028333851920567827829251028066415034542248232224770774366202001799107275385216766925754447924378283220542720503800201394904535935377115155019908800150022702833266017949714268173301123537745816975443078775922015484047237611811346512513934521188989905334276390952894680381903884893616136061540581088894071256850447912402746352681782202543742330426267457456717331186001924457270043935944583134696077888514360682324089636425973223076755190436092816375037829311322703387226466547765048672513300939146334356623373159624515883196641862166172749031321988745164859282589764559879594019441413045651790849407182817436649098247019131059798833936665415474107368982718742147849075423952300226379783061573282020178635283013177448339084362632365731757687631095678050174135986729206061987305028643426612245218916355934734111954548177069113486039131506304849931714346016507641255556395280082428324950940501699696844467444623854729252524413139400921619860633299339180496270311743683100431318984628636834695246773294005662438248132085347622792776789584839879270024056759744736322460130296040658039801264697397586197011957526913160154467761584763849802190781600952702228468843959721693229898633063234959329834010757383925533134357293904968525537471112535008362260383271897330409053975495999882561357751097094742909681261245057836427300477734575527684207073608825157654}
30072  345396959705466146727044173394647597952613282879780723675443031895556001987308138502109: {390767,661298,1291247,1382162,1683304,1770767,1830671,1893717,2254425,2404720,2462378,2489087,2668487,2705310,2885664,3246372,3385367,3541298,4518071,4567144,5138037,5707271,5766647,5944727,7130087,7661985,8017007,8172784,8430287,8888584,8916458,9194382,9255671,9314567,9476524,9844271,9999657,10373327,10907061,11413778,11546687,11769962,11898071,12132167,12725512,12775271,13008887,13062124,13125647,13650671,13671385,13904042,14316201,14524271,14756927,14873207,14969138,15976271,16195333,16405662,16741418,16845071,17654327,18069868,18231407,18510098,18863402,18922847,19440671,19530550,19785527,19908712,20072687,20627762,20818367,20980202,21505487,21677087,22305671,22397301,22534007,23136190,23436660,23794538,23858745,24015071,24242447,24999104,25207367,25449328,25644904,25717271,26791607,27412271,27763428,28123992,28257071,28630494,28737753,28850517,29324567,29436767,29744402,30165287,30445127,30501071,30836567,31639491,31674047,32509727,32581465,33051700,33278824,33288071,33572138,33621167,33843071,34452647,34613042,34674071,35005967,35224017,35448047,35661064,36275567,36345002,36546508,36826247,36936287,37431071,37438677,37727978,37925207,37980071,38073362,38763698,39075671,39097758,39662040,40118697,40142642,40386167,40767527,40930847,41224484,41529071,41583407,42306176,42343271,42668447,42671209,42830927,43480127,43579922,43696271,44451767,44619795,44990447,45293162,45796967,45973137,46123912,46544950,46547061,47117548,47244167,47404607,47548264,47594448,48367922,48792071,48845327,49049618,49371385,49643207,49741797,50331801,50411282,50439287,50598287,51889401,52028524,52500671,52764071,53237687,53491797,53543754,54128908,54202345,54661384,54729925,54811727,54820778,55158962,55439327,55608712,55853940,56222207,57523007,57623788,58456487,58892120,59019724,59025671,59216425,59245662,59490647,59542271,59577536,60109607,60778847,60886058,60958870,61494057,61499985,61557098,61857071,62559801,62705512,62753001,62850697,63085007,63187127,63232178,63297417,63391271,63697247,63896428,64104767,64235498,64715087,64801317,64867487,65042814,65599984,65675910,65679071,65932271,65982887,66012424,66253635,66387527,67024728,67447271,67895569,69115333,69456071,69706271,70006247,70054304,70530550,70543701,70670544,70980745,71059710,71203271,71253047,72990167,73088104,73150644,73537322,73799982,74175671,74263977,74298988,74501512,74522665,75402819,75717753,75797024,75845138,76092287,76141271,76386071,76826207,77144425,77168087,77850671,78361257,78474002,78801962,78811092,78873375,79504362,79984645,80323967,80468807,80766698,81191927,81480671,81588793,81747122,82201271,82224117,82400018,82680671,82969864,83052338,83111447,83814201,83880745,84066407,84114071,84131600,84636660,85176894,85255607,85271652,85361601,85540271,85586145,85655858,85777271,86203367,86273317,86305298,86954162,87084100,87195071,87383567,87666071,88256985,88573802,88652567,88753708,89355047,89427198,89543858,89728967,89775671,89786710,90009071,90055727,90279104,90428687,90475271,90948712,91291888,91480082,92573310,92978927,93089642,93255671,93341097,93762287,93896875,94140784,94228744,94359767,94390885,94635071,94648050,94695602,94751041,94910087,95139047,95596367,95824727,95981574,96963527,96993670,97577258,97599071,98323487,98736190,98744864,99361247,99366421,...,4607414766845112658508661668513776733495973868224934535025828940523745650450172160884369732806099943137215923696283735875224075309735191488409748703015484031903286555787329480464146891780950697048492876093864167812916941287955738288149045616419635024518573117045164092709331290521712029323215389165997798788788019770162919659413332851283761076395094107493905727893807226449955237811606684620586919882389785627697728258949871359380703248173559436814355470061527281021174520597705520639278622698469720788598242134740579500633560773960675239299232699328139078306429812059668559989149792442566546486886187945376645794608220179879889570856950160854672843912482175125371303300586310724664318313526636143849970769336845600903921851789326667767534017064947189979137416528741724451802569223577586854429326478226232466442816736634940871102768559630751657291529263178481502424526697773607445102667791678358256120637893249590425525765302809989747317227025520876512902433478541831408898602675500648349133786709106199258449379363070099766840973485561219824848656524685726016449680498970473439897600600933435732446110031659648727808822282043557168794056032272033704636200231440020964197875323707848488454924092369691209076228877266548020275248264403238315731392439509966101552409026774797519409636836796428134304494556444459755491579818510899185554557538332490720757504804964036242960710406269962512256486158620384730187577891556721301923237289933576887889713171856323943630008965093415579588137950459667661040110787238190972791415998305033806319666775855845968251427035764071107421983690872932424525367778131049101362982042169620948976802321258710071036823659292413978250990778534579780966996311628915977805184464600793994761728660435390927885621237892437925309269004231317076161393901704983307799696759012653443583116165465935725350608857834021097451776197516391544255149538904843003262263179643369189538208297406576652324511312707532681588350852384648803623638040708503024289306479519142041408627324364537388566726945611360028325560932616578641767144488737015617804730526868267373023129959566810643495473132327481916729706041936841330887024781056717149653859753539651015411939612946161702619684596666227134403894928969405642849676645855326732011735592515261416026132805858315167939093518770578005425001720715577002391146085390070321983618429341292059710035426806386640820486133502970772223361985490179589860424222619848230752876359528482140593166554792126905004828653638739588951234099951876194438930932712807558836237912315848075708244206522606177606761989661379940573131921870812423728637041261752417571574468110208941599898154148976576190245970391290512264542073397764579863892390257107979143156924547133803138280149497256990349629749499750381650537754015322412598885189953459482239402874414516732904386772611971317516137574180593330966553838518957441590171960187447633641544195822455697495117370176738988070052863729100083886886037518055814933137932723772681503066302583002680565078166721253591469660382346296679836777007348487160409097662413744225383906227450227985340810828107440169655462631469400074427177017316012258253809858694355646395668527878876880638097989679521566095105770595565384555182504547308446821246414351849222293990053517299926788101593858544094755628922586090969439404969390301740590197447070447644496590493080241558838563388169746723615048673504150799694987847949526705565813853635287339334961164956317890518842470889247924542500777880851741743876542099622551813372348337156161549303002698660913077825150388631671886567424830814080755700302092356803903065672732529863200225034054249899026924571402259951685306618725463164618163883023226070856417717019768770901781783484858001414586429342020572855827340424204092310871633341106885275671868604119529022673303815613495639401186185075996779002886685905065903916874702044116832771541023486134454638959834615132785654139224562556743966984055080839699821647573008769951408719501534935059739436773824794962793249259123546982983117747288923884646839819391029162119568477686274110774226154973647370528696589698250904998123211161053474078113221773613135928450339569674592359923030267952924519766172508626543948548597636531446643517075261203980093809092980957542965139918367828374533902101167931822265603670229058697259457274897571519024761461883334592920123642487426410752549545266701166935782093878786619709101382429790949949008770744405467615524650646978476942955252042870159941008493657372198128021434189165184377259818905036085139617104483690195444060987059701897046096379295517936290369740231701642377145774703286172401429053342703265939582539844847949594852438994751016136075888299701535940857452788306206668802512543390574907845995613580963243999823842036626645642114364521891867586754640950716601863291526310610413237736481}
30073  346469654192990697253921106627107990612262647878066776517321167541093049455240077171973: {60142,991947,1472891,2073243,2104130,2524956,3005900,3607080,3693567,3847552,3996251,4057965,4328496,4869558,5077943,5311947,5708930,6850716,7151186,7777511,8593442,10215980,11110730,11134823,11845655,12101687,12259176,13332876,13374687,13791573,14214786,14542748,15906890,16327655,17120667,17420123,17654943,18337943,19088268,19593186,20479778,20856063,21874216,21939503,22268162,22439291,22453707,22587335,22641866,23380127,24081167,24518987,24608493,24885890,25112127,25541063,26055227,26245346,26981687,27104802,27679847,27765147,28295103,28840571,29118971,29295825,29863068,30941643,31033442,31203431,31248880,31470303,31811660,32056130,33943547,34157471,34704285,35154990,35691807,36673442,37017904,37208903,37498656,38173992,38317004,38467356,39336167,40358423,40447067,41314625,41598530,41604731,41645142,41838122,42074567,42185988,42945741,43876082,43992143,44576330,44616603,45683135,46203803,46757138,46842818,46965356,47828711,48657623,49271927,49402391,49577550,49918236,50358207,50481866,51078722,51530605,51919563,52130344,52150871,52870607,52882720,53039927,53491596,53959778,54067247,54517503,54819762,54838907,54867323,55491791,56591967,57110043,57399986,57654890,57760871,58145547,58646637,58796663,58896935,59435330,59493060,59493071,60213963,60595643,60882251,61297516,61836726,62062748,63459264,63952091,65035655,65188823,65369883,65370107,66322396,66568898,67109068,67661135,67939743,68326730,69185868,69284171,69510890,69533087,69817425,70305287,70676322,70693871,70944443,71322396,71391672,72029735,72213851,72378962,72551883,72598631,73574427,73615150,73774655,74448242,74471920,74936303,75149327,75616923,76479143,77084507,77873951,78042786,78381890,78994216,79580123,79870535,79880402,80315631,81193362,81390146,81992076,81999980,82231167,82373186,82450151,82515530,82738443,83413068,83670668,83780910,84240911,84396556,86401756,86435682,86497463,86723752,87567880,88037183,88338180,88529586,88868493,89366304,89667287,89817623,91329087,91360130,91438305,91464827,91498418,92186186,92335647,92873735,93126890,93422927,94058268,94227392,94340891,94746280,94821986,94848267,95844642,96353247,96759131,96857447,97534192,97564221,97980503,98218847,98399976,98513865,98615471,99018636,99205211,99571823,...,6143219689126816878011548891351702311327965157633246046701105254031660867266896214512492977074799924182954564928378314500298767079646921984546331604020645375871048741049772640618862522374600929397990501458485557083889255050607651050865394155226180032691430822726885456945775054028949372430953852221330398385050693026883892879217777135045014768526792143325207637191742968599940317082142246160782559843186380836930304345266495145840937664231412582419140626748703041361566027463607360852371496931292961051464322846320772667511414365280900319065643599104185437741906416079558079985533056590088728649181583927168861059477626906506519427809266881139563791883309566833828404400781747632885757751368848191799961025782460801205229135719102223690045356086596253305516555371655632602403425631436782472572435304301643288590422315513254494803691412841002209722039017571308669899368930364809926803557055571144341494183857666120567367687070413319663089636034027835350536577971389108545198136900667531132178382278808265677932505817426799689121297980748293099798208699580968021932907331960631253196800801244580976594813375546198303745096376058076225058741376362711606181600308586694618930500431610464651273232123159588278768305169688730693700331019204317754308523252679954802069878702366396692546182449061904179072659408592613007322106424681198914072743384443320961010006406618714990614280541693283349675314878160512973583437188742295069230983053244769183852950895808431924840011953457887439450850600612890214720147716317587963721887997740045075092889034474461291001902714352094809895978254497243232700490370841398801817309389559494598635736428344946761382431545723218637667987704712773041289328415505221303740245952801058659682304880580521237180828317189917233745692005641756101548525202273311077066262345350204591444154887287914300467478477112028129935701596688522059006866051873124004349684239524492252717611063208768869766015083610043575451134469846198404831517387611337365719075306025522721878169765819383184755635927481813371100747910155438189022859318316020823739640702491023164030839946089080857993964176436642555639608055915788441182699708075622866205146338052868020549252817261548936826246128888302845871859905292540857132902194473768976015647456687015221368177074477753557252124691694104007233335627620769336521528113853427095978157905788389412946713902408515521093981511337294362964482647320239453147232296826464307670501812704642854124222073056169206673104871518319451934978799935834925918574576950410078448317216421130767610992275363474903475682652881839920764175895827749898304849388349003223428765957480278588799864205531968768253661293855054016352722764530352773151856520342810638857542566062845070851040199329675987132839665999667175534050338687096550131846919937945976319203832552688977205849030149295090021516765574124441288738451358609922120229280249930178188725594429940929993489826902318650760070484972133445182514716690741086577517243631696908670755070110670240753437555628338121959547176461728906449036009797982880545463549884992300511874969933637313787747770809920226207283508625866765902902689754683011005079811592474195194224703838502507517463986239362088126807694127420512740243339396411262428328552469132296391986738023066569050802125144725459674171896781454625919206625853735654120263262760596859328787324106988745118084517559662298153398231338867732926650463932702274087751804847049785779948219941757187358456627852330566056667703841135655658502056132830069084496464449541548732404003598214550770433533851508895848756566441085441007600402789809071870754230310039817600300045405666532035899428536346602247075491633950886157551844030968094475223622693025027869042377979810668552781905789360763807769787232272123081162177788142513700895824805492705363564405087484660852534914913434662372003848914540087871889166269392155777028721364648179272851946446153510380872185632750075658622645406774452933095530097345026601878292668713246746319249031766393283724332345498062643977490329718565179529119759188038882826091303581698814365634873298196494038262119597667873330830948214737965437484295698150847904600452759566123146564040357270566026354896678168725264731463515375262191356100348271973458412123974610057286853224490437832711869468223909096354138226972078263012609699863428692033015282511112790560164856649901881003399393688934889247709458505048826278801843239721266598678360992540623487366200862637969257273669390493546588011324876496264170695245585553579169679758540048113519489472644920260592081316079602529394795172394023915053826320308935523169527699604381563201905404456937687919443386459797266126469918659668021514767851066268714587809937051074942225070016724520766543794660818107950991999765122715502194189485819362522490115672854600955469151055368414147217650315308}
30074  347545660738659970283998305725006701997665775922143788690269204759792220239218654403480: {90213,781534,1322596,1830793,2582494,2764324,3156195,3366608,3541534,3661342,3757375,3787434,3803269,4508850,4696969,4809440,4924756,4978174,5336974,5410620,5767033,5771328,6301093,6492744,6656773,6770734,7082596,7189753,7304337,8076613,8563395,9036142,9134288,9315193,10276074,10726779,11414542,11533294,11889454,12769975,12834553,12890163,13709893,14260174,14408869,15323970,16034014,16151269,16345568,16666095,16860574,17713273,17777168,17832916,18178435,18388764,18511342,18578533,18629134,18953048,19139939,19688542,19786873,19999314,20303653,20746654,21322179,21335269,21814122,22827556,23048869,23093374,23539924,23796142,23860335,24073573,24264334,24925513,25451024,25550542,25775653,26017774,26124248,26251294,26454469,27301342,27301369,27342770,27808084,28632402,28989769,29048542,29389779,29513854,29746414,29938276,30503173,30719667,31952542,32390666,32811324,33345913,33402243,33482836,33690142,33962799,35308654,35505733,35671369,36139736,36462814,37020196,37328835,37488613,37726804,37845694,37982713,38881342,39061100,39368019,39571054,39764575,39817424,40145374,40657203,41255524,41423269,41586313,41636734,41960404,42075013,42400453,43010974,43354174,44611342,44794602,45068014,45477769,45614051,46272380,46283269,46550163,46873320,47247493,47589076,47717490,47896255,48030142,48084195,48484894,48848773,49998208,50283769,50414734,50898656,51289808,51434542,52732485,52820473,53583214,54824542,54867973,55010163,55526856,55808869,55965433,56247984,56514142,56590969,57260988,57475506,57701034,58649134,58706695,58873534,59081593,59488804,59546533,60330574,60890254,61002142,61673134,62397795,62467713,62629573,62757183,63278982,63348094,63395833,64160293,64922953,65019454,65162930,65814123,65835769,65987653,66103400,66557648,66576142,66864495,67144276,67242334,67686142,68905294,69119939,69226084,69348142,70011934,70135707,70264227,70448034,70896094,71258233,71322128,71854969,72551134,72599269,72690004,73093016,73341769,73652494,73872574,74082469,74230393,74366325,74862142,74877354,75455956,75722799,75850414,75883283,75960142,76146724,76146853,76293769,76440613,76618083,76621895,77173753,77527396,77578435,78151342,78195516,79324080,80237394,80285284,80523013,80772334,80939667,81246073,81535054,81861694,82229643,82448968,82902995,83058142,83166814,83570707,83886335,84120313,84612352,84686542,85336894,85342418,85546633,85661854,86099979,86482335,86960254,87159844,87248713,87392542,88903534,89152995,89239590,89361733,89782393,89980894,90062473,90482053,90586324,91458553,91593934,91946274,92247824,92755089,93089900,93094122,93400969,94235096,94488334,94809214,95096528,95188896,95462191,96151369,96288133,96423119,96735844,97584142,97690654,98099236,98195269,98742770,99286414,99373043,99483594,99853347,...,9214829533690225317017323337027553466991947736449869070051657881047491300900344321768739465612199886274431847392567471750448150619470382976819497406030968063806573111574658960928293783561901394096985752187728335625833882575911476576298091232839270049037146234090328185418662581043424058646430778331995597577576039540325839318826665702567522152790188214987811455787614452899910475623213369241173839764779571255395456517899742718761406496347118873628710940123054562042349041195411041278557245396939441577196484269481159001267121547921350478598465398656278156612859624119337119978299584885133092973772375890753291589216440359759779141713900321709345687824964350250742606601172621449328636627053272287699941538673691201807843703578653335535068034129894379958274833057483448903605138447155173708858652956452464932885633473269881742205537119261503314583058526356963004849053395547214890205335583356716512241275786499180851051530605619979494634454051041753025804866957083662817797205351001296698267573418212398516898758726140199533681946971122439649697313049371452032899360997940946879795201201866871464892220063319297455617644564087114337588112064544067409272400462880041928395750647415696976909848184739382418152457754533096040550496528806476631462784879019932203104818053549595038819273673592856268608989112888919510983159637021798371109115076664981441515009609928072485921420812539925024512972317240769460375155783113442603846474579867153775779426343712647887260017930186831159176275900919335322080221574476381945582831996610067612639333551711691936502854071528142214843967381745864849050735556262098202725964084339241897953604642517420142073647318584827956501981557069159561933992623257831955610368929201587989523457320870781855771242475784875850618538008462634152322787803409966615599393518025306887166232330931871450701217715668042194903552395032783088510299077809686006524526359286738379076416594813153304649022625415065363176701704769297607247276081417006048578612959038284082817254648729074777133453891222720056651121865233157283534288977474031235609461053736534746046259919133621286990946264654963833459412083873682661774049562113434299307719507079302030823879225892323405239369193332454268807789857938811285699353291710653464023471185030522832052265611716630335878187037541156010850003441431154004782292170780140643967236858682584119420070853612773281640972267005941544446723970980359179720848445239696461505752719056964281186333109584253810009657307277479177902468199903752388877861865425615117672475824631696151416488413045212355213523979322759881146263843741624847457274082523504835143148936220417883199796308297953152380491940782581024529084146795529159727784780514215958286313849094267606276560298994513980699259498999500763301075508030644825197770379906918964478805748829033465808773545223942635032275148361186661933107677037914883180343920374895267283088391644911394990234740353477976140105727458200167773772075036111629866275865447545363006132605166005361130156333442507182939320764692593359673554014696974320818195324827488450767812454900455970681621656214880339310925262938800148854354034632024516507619717388711292791337055757753761276195979359043132190211541191130769110365009094616893642492828703698444587980107034599853576203187717088189511257845172181938878809938780603481180394894140895288993180986160483117677126776339493447230097347008301599389975695899053411131627707270574678669922329912635781037684941778495849085001555761703483487753084199245103626744696674312323098606005397321826155650300777263343773134849661628161511400604184713607806131345465059726400450068108499798053849142804519903370613237450926329236327766046452141712835434039537541803563566969716002829172858684041145711654680848408184621743266682213770551343737208239058045346607631226991278802372370151993558005773371810131807833749404088233665543082046972268909277919669230265571308278449125113487933968110161679399643295146017539902817439003069870119478873547649589925586498518247093965966235494577847769293679638782058324239136955372548221548452309947294741057393179396501809996246422322106948156226443547226271856900679139349184719846060535905849039532345017253087897097195273062893287034150522407960187618185961915085930279836735656749067804202335863644531207340458117394518914549795143038049522923766669185840247284974852821505099090533402333871564187757573239418202764859581899898017541488810935231049301293956953885910504085740319882016987314744396256042868378330368754519637810072170279234208967380390888121974119403794092192758591035872580739480463403284754291549406572344802858106685406531879165079689695899189704877989502032272151776599403071881714905576612413337605025086781149815691991227161926487999647684073253291284228729043783735173509281901433203726583052621220826475472962}
30075  348624989509224709924518827577569700184150169766227379565780650864332163881277949567195: {120284,1172301,1653245,1983894,2945782,3455405,3873741,4146486,4208260,5049912,5312301,5492013,5618789,5681151,6011800,6155945,6763275,7214160,7387134,7467261,7695104,7992502,8005461,8115930,8656992,8853245,9739116,10155886,10156101,10623894,11417860,13554213,13701432,14302372,14804297,15414111,15555022,15885341,16583917,17121813,17186884,17299941,17496413,17834181,20431960,21390261,22221460,22269646,22291145,22858717,22985955,23691310,23978789,24051021,24203374,24518352,24520621,25290861,26665752,26749374,27583146,27767013,27943701,28300373,28429572,28459561,28534445,28842493,29085496,29424905,29532813,29998971,30792541,31119981,31622269,31813780,32655310,32721183,34241334,34640061,34760105,34840246,35309886,35694213,36396501,36675886,37422845,38175997,38176536,38325813,39026661,39186372,39376941,40115101,40952013,40959556,41014155,41586421,41712126,41853545,42948603,43572813,43748432,43879006,44270781,44536324,44619621,44878582,44907414,45099989,45174670,45283732,46275245,46760254,47158505,47928813,48162334,48585999,48826375,49037974,49216986,49771780,50224254,50535213,51082126,51569405,52110454,52450505,52490692,52962981,53963374,54209604,54694221,55214437,55359694,55449661,55530294,56590206,56697853,56768541,57681142,57840475,58237942,58322013,58591650,59356581,59486345,59726136,60218061,61883286,62020237,62066884,62406862,62455101,62497760,62763173,62940606,63623320,63956389,64112260,64516461,64721789,65031261,66647429,66917013,67191903,67602021,67887094,68314942,69408570,69686009,70309980,70309993,71383614,71576235,72045213,72142847,72727341,73346884,74035808,74361005,74417806,74502989,74997312,75622101,76347984,76634008,76934712,77151813,77255581,78672334,79010797,80374821,80716846,80894134,81881293,82236813,82455709,82629250,83197060,83209462,83290284,83676244,83930345,84149134,84371976,84771213,85891482,86213259,86532605,86551551,87570157,87752164,87973701,87984286,88310301,88812841,89152660,89233206,90050629,90151973,90495861,90862505,90921797,91049917,91335381,91366270,91503213,92407606,92509701,93514276,93685636,93930712,94041301,94319945,94725589,94918473,95022141,95183405,95657422,96909245,96978149,97315246,97529181,97744395,98543854,98804782,99155100,99836472,99864213,...,13822244300535337975525985005541330200487921604674803605077486821571236951350516482653109198418299829411647771088851207625672225929205574465229246109046452095709859667361988441392440675342852091145478628281592503438750823863867214864447136849258905073555719351135492278127993871565136087969646167497993396366364059310488758978239998553851283229185282322481717183681421679349865713434820053861760759647169356883093184776849614078142109744520678310443066410184581843063523561793116561917835868095409162365794726404221738501900682321882025717897698097984417234919289436179005679967449377327699639460658563836129937383824660539639668712570850482564018531737446525376113909901758932173992954940579908431549912308010536802711765555367980003302602051194841569937412249586225173355407707670732760563287979434678697399328450209904822613308305678892254971874587789535444507273580093320822335308003375035074768361913679748771276577295908429969241951681076562629538707300435625494226695808026501945047401360127318597775348138089210299300522920456683659474545969574057178049349041496911420319692801802800307197338330094978946183426466846130671506382168096816101113908600694320062892593625971123545465364772277109073627228686631799644060825744793209714947194177318529898304657227080324392558228910510389284402913483669333379266474739455532697556663672614997472162272514414892108728882131218809887536769458475861154190562733674670163905769711869800730663669139515568971830890026895280246738764413851379002983120332361714572918374247994915101418959000327567537904754281107292213322265951072618797273576103334393147304088946126508862846930406963776130213110470977877241934752972335603739342900988934886747933415553393802381984285185981306172783656863713677313775927807012693951228484181705114949923399090277037960330749348496397807176051826573502063292355328592549174632765448616714529009786789538930107568614624892219729956973533938122598044765052557153946410870914122125509072867919438557426124225881973093612165700180836834080084976682797849735925301433466211046853414191580604802119069389878700431930486419396982445750189118125810523992661074343170151448961579260618953046235818838838485107859053789998681403211684786908216928549029937565980196035206777545784248078398417574945503817280556311734016275005162146731007173438256170210965950855288023876179130106280419159922461458400508912316670085956470538769581272667859544692258629078585446421779499664376380715014485960916218766853702299855628583316792798138422676508713736947544227124732619567818532820285968984139821719395765612437271185911123785257252714723404330626824799694462446929728570737911173871536793626220193293739591677170771323937429470773641401409414840448491770971048889248499251144951613262045967237796655569860378446718208623243550198713160317835913952548412722541779992899661515556872324770515880562342900924632587467367092485352110530216964210158591187300251660658112554167444799413798171318044509198907749008041695234500163760774408981147038890039510331022045461481227292987241232676151718682350683956022432484322320508966387894408200223281531051948036774761429576083066939187005583636630641914293969038564698285317311786696153665547513641925340463739243055547666881970160551899780364304781575632284266886767758272908318214908170905221770592341211342933489771479240724676515690164509240170845146020512452399084963543848580116697441560905862018004883494868953671556527412667743773627502333642555225231629626298867655440117045011468484647909008095982739233475451165895015659702274492442242267100906277070411709197018197589589600675102162749697080773714206779855055919856176389493854491649069678212569253151059306312705345350454574004243759288026061718567482021272612276932614900023320655827015605812358587068019911446840486918203558555227990337008660057715197711750624106132350498314623070458403363916879503845398356962417673687670231900952165242519099464942719026309854226158504604805179218310321474384888379747777370640948949353241866771653940519458173087486358705433058822332322678464920942111586089769094752714994369633483160422234339665320839407785351018709023777079769090803858773559298517525879631845645792909594339930551225783611940281427278942872628895419755103485123601706303503795466796811010687176091778371824692714557074284385650003778760370927462279232257648635800103500807346281636359859127304147289372849847026312233216402846573951940935430828865756128610479823025480972116594384064302567495553131779456715108255418851313451070586332182961179105691138289137886553808871109220695104927131437324109858517204287160028109797818747619534543848784557316984253048408227664899104607822572358364918620006407537630171724723537986840742889731999471526109879936926343093565675602760263922852149805589874578931831239713209443}
30076  349707650702461728754300927053533995422361272177910442584196836773234056216667468961738: {150355,180426,511003,871363,1411363,1563068,2645192,2975841,3661586,4418673,4459123,5164988,5260325,5528648,5886163,6219729,6312390,6733216,7083068,7131043,7322684,7514750,7574868,7606538,7663483,9017700,9393938,9433603,9618880,9849512,9956348,10492219,10668403,10673948,10821240,11080701,11534066,11542656,11988753,12173895,12602186,12985488,13127419,13313546,13541468,14165192,14272325,14379506,14608674,14875219,15049603,15233829,15935841,16153226,17126790,17483419,17877965,18072284,18268576,18630386,19040563,19213219,19903123,20552148,21453558,21483605,21794419,22651219,22829084,23066588,23332533,23778908,25449809,25539950,25669106,25780326,27077563,27419786,27585163,27754219,27776825,28520348,28817738,29440819,30449323,30647940,31789963,32068028,32302538,32691136,33332190,33404469,33721148,35121403,35426546,35536965,35554336,35665832,36280603,36305061,36356870,36777528,36941419,37022684,37157066,37258268,37906096,38279878,39377084,39409219,39573746,39767225,39998628,40124061,40607306,40882123,41045419,41374719,41493308,42644358,42670538,43628244,44458003,45104419,45655112,45910819,46097738,46186748,46554643,47079848,47357803,47592284,47720670,48147146,48528668,48982965,49851026,50552443,50902048,51101084,51199445,51362001,51551306,52035548,52138963,52248496,52260369,52502588,52908938,52964829,53875819,54602684,54602738,54685540,55013829,55603963,55616168,55670405,56604665,57264804,57979538,58097084,58779558,59027708,59492828,59499163,59876552,61006346,61439334,62214725,62568189,63043003,63196219,63808363,63905084,64114003,64724419,64781332,64876843,65613365,65622648,65818509,66691826,66804486,66965672,67003219,67054757,67317873,67361121,67380284,67762005,67910203,67925598,70140381,70166323,70617308,71011466,71342738,72243501,72279472,72925628,73556961,73825479,74040392,74657670,74977226,75336381,75453608,75691388,75809323,75965426,76623189,77277043,77583605,77762684,78122200,78165681,78300163,78736038,78737563,79142108,79529150,79634848,80140325,80290748,80480683,80945061,81203923,81314406,82189373,82511048,82846538,83039541,83172626,83219419,83273468,83295441,83362843,83920808,84150026,84800906,84885309,86021948,86521713,86708348,87356913,87887475,88337323,89222684,89461963,89589204,89742403,90136028,90442243,90861283,90955538,91228102,91683605,91836523,92544760,92566538,92824929,93100326,93610293,93746640,94410909,94494986,95178152,95434980,95702203,95792510,96060284,96168390,96659803,96969788,97069123,97697546,98021683,98765381,99106003,99376363,99996416,...,18429659067380450634034646674055106933983895472899738140103315762094982601800688643537478931224399772548863694785134943500896301238940765953638994812061936127613146223149317921856587567123802788193971504375456671251667765151822953152596182465678540098074292468180656370837325162086848117292861556663991195155152079080651678637653331405135044305580376429975622911575228905799820951246426738482347679529559142510790913035799485437522812992694237747257421880246109124084698082390822082557114490793878883154392968538962318002534243095842700957196930797312556313225719248238674239956599169770266185947544751781506583178432880719519558283427800643418691375649928700501485213202345242898657273254106544575399883077347382403615687407157306671070136068259788759916549666114966897807210276894310347417717305912904929865771266946539763484411074238523006629166117052713926009698106791094429780410671166713433024482551572998361702103061211239958989268908102083506051609733914167325635594410702002593396535146836424797033797517452280399067363893942244879299394626098742904065798721995881893759590402403733742929784440126638594911235289128174228675176224129088134818544800925760083856791501294831393953819696369478764836304915509066192081100993057612953262925569758039864406209636107099190077638547347185712537217978225777839021966319274043596742218230153329962883030019219856144971842841625079850049025944634481538920750311566226885207692949159734307551558852687425295774520035860373662318352551801838670644160443148952763891165663993220135225278667103423383873005708143056284429687934763491729698101471112524196405451928168678483795907209285034840284147294637169655913003963114138319123867985246515663911220737858403175979046914641741563711542484951569751701237076016925268304645575606819933231198787036050613774332464661863742901402435431336084389807104790065566177020598155619372013049052718573476758152833189626306609298045250830130726353403409538595214494552162834012097157225918076568165634509297458149554266907782445440113302243730466314567068577954948062471218922107473069492092519838267242573981892529309927666918824167747365323548099124226868598615439014158604061647758451784646810478738386664908537615579715877622571398706583421306928046942370061045664104531223433260671756374075082312021700006882862308009564584341560281287934473717365168238840141707225546563281944534011883088893447941960718359441696890479392923011505438113928562372666219168507620019314614554958355804936399807504777755723730851230235344951649263392302832976826090424710427047958645519762292527687483249694914548165047009670286297872440835766399592616595906304760983881565162049058168293591058319455569561028431916572627698188535212553120597989027961398518997999001526602151016061289650395540759813837928957611497658066931617547090447885270064550296722373323866215354075829766360687840749790534566176783289822789980469480706955952280211454916400335547544150072223259732551730895090726012265210332010722260312666885014365878641529385186719347108029393948641636390649654976901535624909800911941363243312429760678621850525877600297708708069264049033015239434777422585582674111515507522552391958718086264380423082382261538220730018189233787284985657407396889175960214069199707152406375434176379022515690344363877757619877561206962360789788281790577986361972320966235354253552678986894460194694016603198779951391798106822263255414541149357339844659825271562075369883556991698170003111523406966975506168398490207253489393348624646197212010794643652311300601554526687546269699323256323022801208369427215612262690930119452800900136216999596107698285609039806741226474901852658472655532092904283425670868079075083607127133939432005658345717368082291423309361696816369243486533364427541102687474416478116090693215262453982557604744740303987116011546743620263615667498808176467331086164093944537818555839338460531142616556898250226975867936220323358799286590292035079805634878006139740238957747095299179851172997036494187931932470989155695538587359277564116648478273910745096443096904619894589482114786358793003619992492844644213896312452887094452543713801358278698369439692121071811698079064690034506175794194390546125786574068301044815920375236371923830171860559673471313498135608404671727289062414680916234789037829099590286076099045847533338371680494569949705643010198181066804667743128375515146478836405529719163799796035082977621870462098602587913907771821008171480639764033974629488792512085736756660737509039275620144340558468417934760781776243948238807588184385517182071745161478960926806569508583098813144689605716213370813063758330159379391798379409755979004064544303553198806143763429811153224826675210050173562299631383982454323852975999295368146506582568457458087567470347018563802866407453166105242441652950945924}
30077  350793654547268038192943066103993626593897169954921221188689824841604750074650945135002: {240568,270639,1953835,2314543,2344602,3306490,3967788,4837567,5492379,5891564,6279823,6456235,6640387,6910810,7747482,8292972,8416520,8618323,8853835,9153355,9468585,10099824,10624602,10984026,11237578,11272125,11362302,11409807,12023600,12221803,12311890,12394543,12445435,13342435,13526550,14090907,14428320,14774268,14934522,15390208,15825283,15985004,16010922,16231860,16545979,16926835,17301099,17313984,17497579,17706490,18903279,19478232,19970319,20311772,20312202,20677579,21247788,21569259,21913011,22590355,22835720,23980387,24229839,25690185,26799823,27108426,27374479,27402864,27945579,28302259,28536355,28604744,28833235,29608594,29680879,29723635,30828222,31110044,31207603,31770682,32180337,32201803,33167834,34243626,34373768,34599882,34992826,35261743,35650435,35668362,36196723,38309925,38503659,38670489,39948223,40085035,40863920,41129679,41194867,42151435,42780522,43226607,44442920,44539292,44582290,45717434,45758383,45971910,46278355,46572835,47382620,47957578,48102042,48406748,48453807,48664147,48962239,49033963,49036704,49041242,49221355,49998285,50581722,51311179,51439603,51866635,52391983,53139819,53299987,53331504,53498748,54535305,55166292,55534026,55735599,55887402,56600746,56859144,56919122,57068890,57419817,57528187,57684986,57733435,57788803,58170992,58594963,58849810,59065626,59360619,59490355,59997942,60660835,60910959,61585082,62239962,63244538,63420379,63627560,63876355,63966537,64005807,64785343,65044435,65153059,65310620,65378863,65442366,65628235,66021907,66232447,68253355,68356925,68482668,69146607,69280122,69520210,69680492,70619772,70703323,71388426,71581005,72197167,72220719,72621355,72793002,73351772,73430707,73699567,73784635,74174659,74366035,74488303,74776539,74845690,75159403,76351994,76353072,76461979,76489387,76651626,77324179,77326959,77884363,78053322,78372744,78753882,79363407,79881355,80230202,80976665,81904026,81904107,81919112,82028310,83172842,83280883,83424252,83707090,84225355,85897206,86220079,86969307,87145626,87416767,87496864,87714763,87758012,88048987,88169337,88271635,88541562,89072648,89239242,89757164,89814828,90199978,90349340,90567464,90767083,90927883,91157035,91509519,91937683,92159001,92550490,93520508,94268467,94317010,94614235,95857626,96324668,97171998,97203355,97652750,97993627,98075948,98433972,98927635,99543560,99973183,...,27644488601070675951051970011082660400975843209349607210154973643142473902701032965306218396836599658823295542177702415251344451858411148930458492218092904191419719334723976882784881350685704182290957256563185006877501647727734429728894273698517810147111438702270984556255987743130272175939292334995986792732728118620977517956479997107702566458370564644963434367362843358699731426869640107723521519294338713766186369553699228156284219489041356620886132820369163686127047123586233123835671736190818324731589452808443477003801364643764051435795396195968834469838578872358011359934898754655399278921317127672259874767649321079279337425141700965128037063474893050752227819803517864347985909881159816863099824616021073605423531110735960006605204102389683139874824499172450346710815415341465521126575958869357394798656900419809645226616611357784509943749175579070889014547160186641644670616006750070149536723827359497542553154591816859938483903362153125259077414600871250988453391616053003890094802720254637195550696276178420598601045840913367318949091939148114356098698082993822840639385603605600614394676660189957892366852933692261343012764336193632202227817201388640125785187251942247090930729544554218147254457373263599288121651489586419429894388354637059796609314454160648785116457821020778568805826967338666758532949478911065395113327345229994944324545028829784217457764262437619775073538916951722308381125467349340327811539423739601461327338279031137943661780053790560493477528827702758005966240664723429145836748495989830202837918000655135075809508562214584426644531902145237594547152206668786294608177892253017725693860813927552260426220941955754483869505944671207478685801977869773495866831106787604763968570371962612345567313727427354627551855614025387902456968363410229899846798180554075920661498696992795614352103653147004126584710657185098349265530897233429058019573579077860215137229249784439459913947067876245196089530105114307892821741828244251018145735838877114852248451763946187224331400361673668160169953365595699471850602866932422093706828383161209604238138779757400863860972838793964891500378236251621047985322148686340302897923158521237906092471637677676970215718107579997362806423369573816433857098059875131960392070413555091568496156796835149891007634561112623468032550010324293462014346876512340421931901710576047752358260212560838319844922916801017824633340171912941077539162545335719089384517258157170892843558999328752761430028971921832437533707404599711257166633585596276845353017427473895088454249465239135637065640571937968279643438791531224874542371822247570514505429446808661253649599388924893859457141475822347743073587252440386587479183354341542647874858941547282802818829680896983541942097778496998502289903226524091934475593311139720756893436417246487100397426320635671827905096825445083559985799323031113744649541031761124685801849265174934734184970704221060433928420317182374600503321316225108334889598827596342636089018397815498016083390469000327521548817962294077780079020662044090922962454585974482465352303437364701367912044864968644641017932775788816400446563062103896073549522859152166133878374011167273261283828587938077129396570634623573392307331095027283850680927478486111095333763940321103799560728609563151264568533773535516545816636429816341810443541184682422685866979542958481449353031380329018480341690292041024904798169927087697160233394883121811724036009766989737907343113054825335487547255004667285110450463259252597735310880234090022936969295818016191965478466950902331790031319404548984884484534201812554140823418394036395179179201350204325499394161547428413559710111839712352778987708983298139356425138506302118612625410690700909148008487518576052123437134964042545224553865229800046641311654031211624717174136039822893680973836407117110455980674017320115430395423501248212264700996629246140916806727833759007690796713924835347375340463801904330485038198929885438052619708452317009209610358436620642948769776759495554741281897898706483733543307881038916346174972717410866117644664645356929841884223172179538189505429988739266966320844468679330641678815570702037418047554159538181607717547118597035051759263691291585819188679861102451567223880562854557885745257790839510206970247203412607007590933593622021374352183556743649385429114148568771300007557520741854924558464515297271600207001614692563272719718254608294578745699694052624466432805693147903881870861657731512257220959646050961944233188768128605134991106263558913430216510837702626902141172664365922358211382276578275773107617742218441390209854262874648219717034408574320056219595637495239069087697569114633968506096816455329798209215645144716729837240012815075260343449447075973681485779463998943052219759873852686187131351205520527845704299611179749157863662479426418886}
30078  351883011303755262785718957330687758991746204015751895853722401417735452057076017552996: {210497,300710,360852,571121,931457,1022006,1742726,2010737,2669021,2822726,3126136,3516903,3923057,4518977,4697597,4959735,5290384,5886557,5945921,5951682,6301937,6776177,7190717,7323172,7364455,8837346,8918246,9434237,10022717,10329976,10366215,10520650,11057296,11621223,11772326,12134621,12439458,12624780,13303421,13466432,13828337,14166136,14177921,14262086,14527217,14645368,15029500,15050621,15149736,15213076,15326966,15936903,15979517,16153457,16476039,16856367,17022077,17043453,18035400,18467835,18787876,18867206,18869117,19237760,19699024,19904477,19912696,19981255,20289825,20306417,20984438,21336806,21347896,21642480,21681521,22024577,22161402,22401783,23068132,23085312,23678621,23977506,24016383,24190577,24347790,25029151,25042397,25204372,25389715,25609277,25892417,25970976,26254838,26559735,26571137,26627092,27082936,27417917,27587057,28330384,28431677,28544650,28759012,29217348,29611121,29750438,30077047,30099206,30467658,30468303,30507377,30787037,31010621,31871682,32306452,32349437,32683421,33294977,34253580,34966838,35755930,36144568,36537152,37109021,37260772,37603697,37933121,38081126,38152577,38426438,38887555,39247937,39630557,39806246,40394621,40662639,40939421,41104296,41429057,41537777,41755121,42080897,42352157,42514817,42839921,42907116,42967210,43588838,43705457,44412891,44999921,45302438,45591677,45658168,46133176,46242333,46665066,47361137,47414621,47557816,47656023,49751751,49813121,50609021,50899618,50926877,51079900,51338212,51365439,51560652,51899823,52489239,52669937,52933277,53502543,54155126,54839572,55170326,55508438,55553650,55607921,55674115,56077757,56859377,57040696,57635476,58261757,58881638,59038337,59228275,59555057,59709917,60328637,60508435,60898646,61295880,62638577,63098621,63558017,63579926,64136056,64169537,64170783,64605076,64881521,64932317,65382272,65845277,65946557,66149021,66664380,66808938,66873435,67442296,67613057,68116337,68576151,68957865,69921521,70171421,70221377,70242806,70853092,71073930,71108672,71218817,71331664,71679223,71936367,71964797,72153063,72561206,72609857,72610122,72713740,73204097,73555056,73561863,73882838,74045368,74191937,74314132,74516536,74930717,75127421,75812192,75872583,76304957,76402877,76559756,76843121,77282717,77938567,78500417,78754168,78818438,79147492,79246531,79534450,79997256,80248122,80486621,80534897,81214612,81258077,81498737,81638275,81691121,81764246,82090838,82699037,82749438,82842737,82986616,83301039,83831103,84085121,84901119,85288716,85341076,85378683,85603335,85701617,86411837,86527479,86695421,87100615,87256488,87355997,88274715,88390877,88598439,88813121,88916006,89468657,89795837,89996913,90208838,90495617,91310224,91689715,91821638,91858711,92195476,92373496,92377623,93109286,93359943,93415037,93921521,94159696,94715606,94866807,94885757,95184568,95441340,96294292,96940097,97057336,97394417,97965930,98163549,98481521,98978237,99158621,99702052,...,41466732901606013926577955016623990601463764814024410815232460464713710854051549447959327595254899488234943313266553622877016677787616723395687738327139356287129579002085965324177322026028556273436435884844777510316252471591601644593341410547776715220667158053406476834383981614695408263908938502493980189099092177931466276934719995661553849687555846967445151551044265038049597140304460161585282278941508070649279554330548842234426329233562034931329199230553745529190570685379349685753507604286227487097384179212665215505702046965646077153693094293953251704757868308537017039902348131983098918381975691508389812151473981618919006137712551447692055595212339576128341729705276796521978864821739725294649736924031610408135296666103940009907806153584524709812236748758675520066223123012198281689863938304036092197985350629714467839924917036676764915623763368606333521820740279962467005924010125105224305085741039246313829731887725289907725855043229687888616121901306876482680087424079505835142204080381955793326044414267630897901568761370050978423637908722171534148047124490734260959078405408400921592014990284936838550279400538392014519146504290448303341725802082960188677780877913370636396094316831327220881686059895398932182477234379629144841582531955589694913971681240973177674686731531167853208740451008000137799424218366598092669991017844992416486817543244676326186646393656429662610308375427583462571688201024010491717309135609402191991007418546706915492670080685840740216293241554137008949360997085143718755122743984745304256877000982702613714262843321876639966797853217856391820728310003179441912266838379526588540791220891328390639331412933631725804258917006811218028702966804660243800246660181407145952855557943918518350970591141031941327783421038081853685452545115344849770197270831113880992248045489193421528155479720506189877065985777647523898296345850143587029360368616790322705843874676659189870920601814367794134295157671461839232612742366376527218603758315672278372677645919280836497100542510502240254930048393549207775904300398633140560242574741814406357208169636101295791459258190947337250567354377431571977983223029510454346884737781856859138707456516515455323577161369996044209635054360724650785647089812697940588105620332637352744235195252724836511451841668935202048825015486440193021520314768510632897852565864071628537390318841257479767384375201526736950010257869411616308743818003578634076775887235756339265338498993129142145043457882748656300561106899566885749950378394415268029526141210842632681374197858703455598460857906952419465158187296837311813557733371355771758144170212991880474399083387340789185712213733521614610380878660579881218775031512313971812288412320924204228244521345475312913146667745497753434854839786137901713389966709581135340154625869730650596139480953507741857645238167625339978698984546670616974311547641687028702773897762402101277456056331590650892630475773561900754981974337662502334398241394513954133527596723247024125085703500491282323226943441116670118530993066136384443681878961723698028455156047052051868067297452966961526899163683224600669844593155844110324284288728249200817561016750909891925742881907115694094855951935360088460996642540925776021391217729166643000645910481655699341092914344726896852800660303274818724954644724512715665311777023634028800469314437722174029547070493527720512535438061537357197254890631545740350092324682717586054014650484606861014669582238003231320882507000927665675694888878896602966320351135034405453943727024287948217700426353497685046979106823477326726801302718831211235127591054592768768802025306488249091242321142620339565167759568529168481563474947209034637707759453177918938116036051363722012731277864078185155702446063817836830797844700069961967481046817437075761204059734340521460754610675665683971011025980173145593135251872318397051494943869211375210091750638511536195070887253021063010695702856495727557298394828157078929562678475513814415537654930964423154665139243332111922846848059725600314961821558374519262459076116299176466996968035394762826334758269307284258144983108900449481266703018995962518223356053056127071331239307272411576320677895552577638895536937378728783019791653677350835820844281836828617886686259265310455370805118910511386400390433032061528275335115474078143671222853156950011336281112782386837696772945907400310502422038844909079577381912441868118549541078936699649208539721855822806292486597268385831439469076442916349783152192907702486659395338370145324766256553940353211758996548883537317073414867413659661426613327662085314781394311972329575551612861480084329393456242858603631546353671950952759145224682994697313823467717075094755860019222612890515174170613960522228669195998414578329639810779029280697026808280791768556449416769623736795493719139628329}
30079  352975731263344339255504299962249031253119350662379232266866591396336632683988198735179: {451065,481136,541278,1533009,2614089,2735369,3907670,4234089,4629086,4689204,6612980,7421609,7935576,8927523,9038729,9153965,9675134,10984758,11783128,12395369,12559646,12814697,12912470,13256019,13280774,13377369,13821620,14443949,15494964,15780975,16585944,16833040,17236646,17423609,17658489,17687081,17707670,18306710,18659187,18679409,18786875,18937170,19016345,20199648,20678957,21249204,21393129,21968052,22475156,22544250,22724604,22819614,22990449,23484845,23697569,24047200,24443606,24623780,24789086,24890870,26060441,26684870,26801609,27053100,28181814,28300809,28835165,28856640,29548536,29682857,29869044,30780416,31476657,31505465,31626497,31650566,31970008,32005209,32021844,32203949,32351657,32463720,33091958,33242103,33283865,33853670,34422617,34602198,34627968,34995158,35412980,35920841,35948765,35966259,36521685,37216349,37806558,38956464,39382257,39940638,39950897,40267169,40366529,40383065,40455161,40623544,40624404,41355158,41613089,41672969,42495576,42816975,43138518,43826022,44625657,45148809,45180710,45671440,45701487,46213049,46575965,47807523,47960774,48459678,49692137,49910609,50341457,51380370,52450257,52458209,53050541,53599646,53633895,54078089,54216852,54748958,54805728,54849881,55891158,56119049,56604518,57072710,57121689,57209488,57491321,57639657,57666470,57949229,58256969,58808429,59012009,59217188,59361758,59447270,59709369,60607769,61656444,62220088,62415206,63541364,63849875,64172765,64296209,64360674,64403606,64450815,64789697,65201969,65383257,65452889,66335668,66838529,67953657,68331257,68487252,68549465,68747536,68909897,69199764,69985652,69997599,70523486,71300870,71336724,72044345,72393446,72613289,74951357,75077129,76349427,76619850,77007318,77265929,77340978,79021361,79896446,80170070,80756345,80826809,81232689,81727840,82259358,82389734,82656881,82755489,83262657,83286497,83330475,84302870,84925169,85561044,86453214,88322457,88566365,88824749,88885840,89078584,89164580,89426897,89451689,90364157,90892175,91062209,91347969,91434868,91516766,91879529,91943820,91943837,92004089,92556710,92892665,93145670,93764057,94765240,95369889,95554697,95644649,95699695,95915156,96204084,96813496,96907614,97037201,97328294,97924478,98067926,98073408,98082484,98442710,98934365,99996570,...,55288977202141351902103940022165320801951686418699214420309947286284947805402065930612436793673199317646591084355404830502688903716822297860916984436185808382839438669447953765569762701371408364581914513126370013755003295455468859457788547397035620294222877404541969112511975486260544351878584669991973585465456237241955035912959994215405132916741129289926868734725686717399462853739280215447043038588677427532372739107398456312568438978082713241772265640738327372254094247172466247671343472381636649463178905616886954007602729287528102871590792391937668939677157744716022719869797509310798557842634255344519749535298642158558674850283401930256074126949786101504455639607035728695971819762319633726199649232042147210847062221471920013210408204779366279749648998344900693421630830682931042253151917738714789597313800839619290453233222715569019887498351158141778029094320373283289341232013500140299073447654718995085106309183633719876967806724306250518154829201742501976906783232106007780189605440509274391101392552356841197202091681826734637898183878296228712197396165987645681278771207211201228789353320379915784733705867384522686025528672387264404455634402777280251570374503884494181861459089108436294508914746527198576243302979172838859788776709274119593218628908321297570232915642041557137611653934677333517065898957822130790226654690459989888649090057659568434915528524875239550147077833903444616762250934698680655623078847479202922654676558062275887323560107581120986955057655405516011932481329446858291673496991979660405675836001310270151619017124429168853289063804290475189094304413337572589216355784506035451387721627855104520852441883911508967739011889342414957371603955739546991733662213575209527937140743925224691134627454854709255103711228050775804913936726820459799693596361108151841322997393985591228704207306294008253169421314370196698531061794466858116039147158155720430274458499568878919827894135752490392179060210228615785643483656488502036291471677754229704496903527892374448662800723347336320339906731191398943701205733864844187413656766322419208476277559514801727721945677587929783000756472503242095970644297372680605795846317042475812184943275355353940431436215159994725612846739147632867714196119750263920784140827110183136992313593670299782015269122225246936065100020648586924028693753024680843863803421152095504716520425121676639689845833602035649266680343825882155078325090671438178769034516314341785687117998657505522860057943843664875067414809199422514333267171192553690706034854947790176908498930478271274131281143875936559286877583062449749084743644495141029010858893617322507299198777849787718914282951644695486147174504880773174958366708683085295749717883094565605637659361793967083884195556993997004579806453048183868951186622279441513786872834492974200794852641271343655810193650890167119971598646062227489299082063522249371603698530349869468369941408442120867856840634364749201006642632450216669779197655192685272178036795630996032166780938000655043097635924588155560158041324088181845924909171948964930704606874729402735824089729937289282035865551577632800893126124207792147099045718304332267756748022334546522567657175876154258793141269247146784614662190054567701361854956972222190667527880642207599121457219126302529137067547071033091633272859632683620887082369364845371733959085916962898706062760658036960683380584082049809596339854175394320466789766243623448072019533979475814686226109650670975094510009334570220900926518505195470621760468180045873938591636032383930956933901804663580062638809097969768969068403625108281646836788072790358358402700408650998788323094856827119420223679424705557975417966596278712850277012604237225250821381401818296016975037152104246874269928085090449107730459600093282623308062423249434348272079645787361947672814234220911961348034640230860790847002496424529401993258492281833613455667518015381593427849670694750680927603808660970076397859770876105239416904634018419220716873241285897539553518991109482563795797412967467086615762077832692349945434821732235289329290713859683768446344359076379010859977478533932641688937358661283357631141404074836095108319076363215435094237194070103518527382583171638377359722204903134447761125709115771490515581679020413940494406825214015181867187244042748704367113487298770858228297137542600015115041483709849116929030594543200414003229385126545439436509216589157491399388105248932865611386295807763741723315463024514441919292101923888466377536257210269982212527117826860433021675405253804282345328731844716422764553156551546215235484436882780419708525749296439434068817148640112439191274990478138175395138229267937012193632910659596418431290289433459674480025630150520686898894151947362971558927997886104439519747705372374262702411041055691408599222359498315727324958852837772}
30080  354071824748860501175614748925593620085015780965768173639009313300974515041243042735147: {420994,601420,721704,811917,1142242,1862914,2010871,2044012,2908351,3485452,4021474,4876471,5338042,5645452,5861505,5946319,6252272,6835879,6943629,7033806,7846114,8255431,8266225,9037954,9395194,9919470,10310237,10580768,11773114,11784151,11891842,11903364,12135439,12603874,13012399,13552354,14381434,14512701,14646344,14728910,14760919,16477137,17277025,17674692,17836492,17890111,18839469,18868474,18927991,19368705,19921161,20045434,20307799,20659952,20732430,21041300,21511351,22114592,22540159,23242446,23544652,23737159,24249079,24269242,24878916,25100839,25249560,25854969,26459911,26561505,26606842,26932864,27460065,27656674,27973757,28093945,28332272,28355842,28405755,28524172,29054434,29290736,29669239,30059000,30101242,30299472,30426152,30653932,30779725,30845071,31873806,31959034,32306914,32952078,33352831,33712734,33816375,33852439,34044154,34086906,34229421,34683679,35015671,35545601,35678791,36070800,36665409,36935670,37166599,37183629,37336305,37575752,37734412,37738234,37990639,38155231,38475520,39398048,39808954,39825392,39962510,39992557,40027305,40579650,40612834,40778911,41595031,41758039,41968876,42272721,42409351,42571999,42673612,42695792,43284960,43363042,43708519,44032591,44049154,44266225,44322804,44679871,44803566,46136264,46170624,47357242,47417959,47475849,47955012,48032766,48059191,48381154,48695580,49637937,50058302,50084794,50408744,50453551,50779430,50780505,50930479,51218554,51784834,51903297,51941952,52492737,52509676,52515559,52989679,53119470,53142274,53254184,54165872,54442577,54835834,55174114,55977391,56133919,56446759,56660768,56709837,56863354,56915479,57089300,57518024,57539431,58317751,58434696,59094271,59222242,59500876,59714191,59910957,60154094,60198412,60332959,60796279,60935316,60936606,61014754,61574074,62021242,62032737,63409519,63562591,63743364,64612904,64698874,64707777,64936999,65089351,65366842,65739033,66001951,66153799,66589954,67771065,68507160,69926599,69933676,70226479,71273791,71511860,71941161,72289136,72689517,73074304,73209439,73506151,74021485,74218042,74246671,74394559,74521544,75207394,75866242,76162252,76305154,76310551,76457431,76852876,77070555,77775110,77943761,78495874,79261114,79426705,79612492,80106031,80399469,80540839,80789242,81325278,81697159,81878842,82123437,82129591,82208592,82417519,82858114,82919585,83075554,83510242,83836737,84139039,84161794,84704314,84711809,84906777,85029634,85609065,85679842,85707991,85814232,85934420,86418271,86499705,87177676,87409639,87410914,87482065,88825782,89042637,89170905,89381791,89999842,90604876,91183354,91316336,91479151,92266352,92484666,93330132,93622809,93974599,94722274,94829242,94938751,95115632,95312046,96036319,96309991,96541011,96605409,96992911,97810039,98353351,99503502,99626242,...,82933465803212027853155910033247981202927529628048821630464920929427421708103098895918655190509798976469886626533107245754033355575233446791375476654278712574259158004171930648354644052057112546872871769689555020632504943183203289186682821095553430441334316106812953668767963229390816527817877004987960378198184355862932553869439991323107699375111693934890303102088530076099194280608920323170564557883016141298559108661097684468852658467124069862658398461107491058381141370758699371507015208572454974194768358425330431011404093931292154307386188587906503409515736617074034079804696263966197836763951383016779624302947963237838012275425102895384111190424679152256683459410553593043957729643479450589299473848063220816270593332207880019815612307169049419624473497517351040132446246024396563379727876608072184395970701259428935679849834073353529831247526737212667043641480559924934011848020250210448610171482078492627659463775450579815451710086459375777232243802613752965360174848159011670284408160763911586652088828535261795803137522740101956847275817444343068296094248981468521918156810816801843184029980569873677100558801076784029038293008580896606683451604165920377355561755826741272792188633662654441763372119790797864364954468759258289683165063911179389827943362481946355349373463062335706417480902016000275598848436733196185339982035689984832973635086489352652373292787312859325220616750855166925143376402048020983434618271218804383982014837093413830985340161371681480432586483108274017898721994170287437510245487969490608513754001965405227428525686643753279933595706435712783641456620006358883824533676759053177081582441782656781278662825867263451608517834013622436057405933609320487600493320362814291905711115887837036701941182282063882655566842076163707370905090230689699540394541662227761984496090978386843056310959441012379754131971555295047796592691700287174058720737233580645411687749353318379741841203628735588268590315342923678465225484732753054437207516631344556745355291838561672994201085021004480509860096787098415551808600797266281120485149483628812714416339272202591582918516381894674501134708754863143955966446059020908693769475563713718277414913033030910647154322739992088419270108721449301571294179625395881176211240665274705488470390505449673022903683337870404097650030972880386043040629537021265795705131728143257074780637682514959534768750403053473900020515738823232617487636007157268153551774471512678530676997986258284290086915765497312601122213799133771499900756788830536059052282421685265362748395717406911196921715813904838930316374593674623627115466742711543516288340425983760948798166774681578371424427467043229220761757321159762437550063024627943624576824641848408456489042690950625826293335490995506869709679572275803426779933419162270680309251739461301192278961907015483715290476335250679957397969093341233948623095283374057405547795524804202554912112663181301785260951547123801509963948675325004668796482789027908267055193446494048250171407000982564646453886882233340237061986132272768887363757923447396056910312094104103736134594905933923053798327366449201339689186311688220648568577456498401635122033501819783851485763814231388189711903870720176921993285081851552042782435458333286001291820963311398682185828689453793705601320606549637449909289449025431330623554047268057600938628875444348059094140987055441025070876123074714394509781263091480700184649365435172108029300969213722029339164476006462641765014001855331351389777757793205932640702270068810907887454048575896435400852706995370093958213646954653453602605437662422470255182109185537537604050612976498182484642285240679130335519137058336963126949894418069275415518906355837876232072102727444025462555728156370311404892127635673661595689400139923934962093634874151522408119468681042921509221351331367942022051960346291186270503744636794102989887738422750420183501277023072390141774506042126021391405712991455114596789656314157859125356951027628831075309861928846309330278486664223845693696119451200629923643116749038524918152232598352933993936070789525652669516538614568516289966217800898962533406037991925036446712106112254142662478614544823152641355791105155277791073874757457566039583307354701671641688563673657235773372518530620910741610237821022772800780866064123056550670230948156287342445706313900022672562225564773675393545891814800621004844077689818159154763824883736237099082157873399298417079443711645612584973194536771662878938152885832699566304385815404973318790676740290649532513107880706423517993097767074634146829734827319322853226655324170629562788623944659151103225722960168658786912485717207263092707343901905518290449365989394627646935434150189511720038445225781030348341227921044457338391996829156659279621558058561394053616561583537112898833539247473590987438279256658}
30081  355171302114628550119980061707531195605468736565758945122405688475491057227827153744551: {631491,751775,902130,962272,1082556,1713363,2555015,2794371,3066018,3637139,4356815,5228178,5470738,6032211,7056815,7601891,7815340,8007063,8468178,8683583,9258172,9378408,10550709,11769171,12815551,13225960,13543079,13556931,14092791,14843218,14879205,15871152,17659671,17837763,17855046,18077458,18307930,18905811,19350268,19477139,20029343,20328531,21572151,21969516,22093365,22295615,23566256,24790738,25119292,25629394,25824940,26301625,26512038,26561548,26622883,26754738,27039911,27643240,28302711,28887898,29430815,30068151,30798703,30989928,31098645,31561950,32441891,32878783,33171888,33666080,34424911,34473292,34847218,34863669,35316978,35374162,35415340,35655215,35683079,36403863,36613420,37318374,37358818,37573750,37874340,38032690,38317415,39910263,40369231,40399296,41357914,41485011,41594743,42451903,42498408,42533763,42786258,43581651,43936104,44107651,44950312,45004483,45088500,45151863,45449208,45639228,45980898,46597411,46969690,47168015,47395138,47810709,47938551,48094400,48460371,48887212,49040519,49247560,49428117,49578172,49781740,50328271,50569101,51066231,51130359,52120882,52461095,53342015,53369740,53603218,54106200,55403505,56363628,56536291,56601618,56607351,56709199,57670330,57713280,58629763,58727071,59097072,59365714,59713431,59738088,59943765,60869475,60919251,61560832,62274691,62775779,62953314,63010930,63252994,63301132,63940016,64010418,64043688,64407898,64703314,64734791,64927440,65044563,65206351,65637095,66073731,66183916,66484206,66567730,67205349,67671631,67707340,68845234,69204396,69255936,69699983,69990316,70825960,71035863,71361625,71841682,71897530,71932518,72049149,72571731,73043370,74376095,74432698,75087453,75127191,75248015,75613116,76169145,76472231,76827831,77677251,77912928,78764514,79679205,79713411,79881276,79901794,80534338,80733058,80766130,80910322,81247088,81248808,82253751,82330259,82710316,82761171,83226178,83345938,84991152,85295031,85633950,86277036,87417095,87652044,88833363,89251314,89389825,89841871,90170051,90231141,90297618,90361420,91342880,91402974,91404909,91522131,92077799,92361111,92426098,93031863,93151930,94281071,95202815,95615046,95620771,95921548,95969251,96066095,96919356,96997631,97048311,98050263,99384274,99515615,99821218,99884931,...,124400198704818041779733865049871971804391294442073232445697381394141132562154648343877982785764698464704829939799660868631050033362850170187063214981418068861388737006257895972531966078085668820309307654534332530948757414774804933780024231643330145662001474160219430503151944844086224791726815507481940567297276533794398830804159986984661549062667540902335454653132795114148791420913380484755846836824524211947838662991646526703278987700686104793987597691661236587571712056138049057260522812858682461292152537637995646517106140896938231461079282881859755114273604925611051119707044395949296755145927074525169436454421944856757018413137654343076166785637018728385025189115830389565936594465219175883949210772094831224405889998311820029723418460753574129436710246276026560198669369036594845069591814912108276593956051889143403519774751110030294746871290105819000565462220839887401017772030375315672915257223117738941489195663175869723177565129689063665848365703920629448040262272238517505426612241145867379978133242802892693704706284110152935270913726166514602444141373472202782877235216225202764776044970854810515650838201615176043557439512871344910025177406248880566033342633740111909188282950493981662645058179686196796547431703138887434524747595866769084741915043722919533024060194593503559626221353024000413398272655099794278009973053534977249460452629734028978559939180969288987830925126282750387715064603072031475151927406828206575973022255640120746478010242057522220648879724662411026848082991255431156265368231954235912770631002948107841142788529965629919900393559653569175462184930009538325736800515138579765622373662673985171917994238800895177412776751020433654086108900413980731400739980544221437858566673831755555052911773423095823983350263114245561056357635346034549310591812493341642976744136467580264584466439161518569631197957332942571694889037550430761088081105850370968117531624029977569612761805443103382402885473014385517697838227099129581655811274947016835118032937757842509491301627531506720764790145180647623327712901195899421680727724225443219071624508908303887374377774572842011751702063132294715933949669088531363040654213345570577416122369549546365970731484109988132628905163082173952356941269438093821764316860997912058232705585758174509534355525006805606146475046459320579064560944305531898693557697592214885612170956523772439302153125604580210850030773608234848926231454010735902230327661707269017796015496979387426435130373648245968901683320698700657249851135183245804088578423632527898044122593576110366795382573720857258395474561890511935440673200114067315274432510638975641423197250162022367557136641200564843831142635981739643656325094536941915436865236962772612684733564036425938739440003236493260304564519358413705140169900128743406020463877609191951788418442860523225572935714502876019936096953640011850922934642925061086108321693287206303832368168994771952677891427320685702264945923012987507003194724183541862400582790169741072375257110501473846969680830323350010355592979198409153331045636885171094085365468141156155604201892358900884580697491049673802009533779467532330972852866184747602452683050252729675777228645721347082284567855806080265382989927622777328064173653187499929001937731444967098023278743034180690558401980909824456174863934173538146995935331070902086401407943313166522088641211480583161537606314184612071591764671894637221050276974048152758162043951453820583044008746714009693962647521002782997027084666636689808898961053405103216361831181072863844653101279060493055140937320470431980180403908156493633705382773163778306306406075919464747273726963427861018695503278705587505444690424841627103913123278359533756814348108154091166038193833592234555467107338191453510492393534100209885902443140452311227283612179203021564382263832026997051913033077940519436779405755616955191154484831607634125630275251915534608585212661759063189032087108569487182671895184484471236788688035426541443246612964792893269463995417729996335768540544179176800944885464675123557787377228348897529400990904106184288479004274807921852774434949326701348443800109056987887554670068159168381213993717921817234728962033686657732916686610812136186349059374961032052507462532845510485853660058777795931366112415356731534159201171299096184584826005346422234431013668559470850034008843338347160513090318837722200931507266116534727238732145737325604355648623236810098947625619165567468418877459791805157494318407229328749049349456578723107459978186015110435974298769661821059635276989646650611951220244602240978984279839982986255944344182935916988726654838584440252988180368728575810894639061015852858277435674048984091941470403151225284267580057667838671545522511841881566686007587995243734988919432337087842091080424842375305669348250308871210386481157418884987}
30082  356274173746568414149632315132308116132823792939643108539310859665643356132279831779307: {330781,691357,841988,1202840,1353195,1443408,1591537,1623834,2130781,2284484,3725828,4021742,4088024,4599027,5816702,6970904,7842267,7842397,8042948,8206107,8728177,9752942,9769175,10670557,10676084,11290904,11572715,11723010,11892638,12428797,12504544,12702267,13305217,13671758,13887258,14067612,15052657,15692228,16510862,16532450,17660317,18075908,18790388,19217137,19389757,19838940,20079517,20620474,21111997,21161536,21798877,22264827,23546228,23568302,23783684,23806728,24187835,24270878,24534877,25207748,25726081,26024798,26782569,27083137,27104708,27116187,27461895,27759937,28762868,29025402,29292688,29457820,29521838,29615197,30455617,30791281,31399115,31963837,32281175,32954274,33201935,34132081,34554050,35294557,35349384,35672984,35780222,37114177,37186107,37678938,37736948,37855982,38444091,38737410,39331523,39768057,39842322,40090868,40132107,40615598,41054017,41217277,41319904,41464860,41543581,42082600,43022702,43091615,43170781,43331847,43495357,44229184,44269175,45080318,45113917,45766775,46081597,46484892,47089304,47263931,47342925,47474318,48498158,48538484,49128817,49757832,50201678,50499120,51709938,52270827,52782781,52919822,52975467,53061243,53123010,53213684,53572081,53865728,54359581,54920130,55313348,55459057,55947514,55977561,56038227,56187890,56360625,56664544,56711684,56811510,57048344,57049035,57803197,58108868,58270081,58581472,58736317,59338478,59511937,59821681,60118000,60202484,60598944,60852304,61109015,61307864,61559450,61690142,61972715,62036871,62227175,63209857,63747612,63918068,64127857,64179387,64613828,64738417,64890877,65904156,65956081,66259777,66705662,66712175,67425468,67632750,67704878,68088308,68173812,68458842,68971347,69367358,69731581,70031342,70031677,70454535,71091202,71092707,71357582,72141600,72273217,73330818,73871340,74333198,74367258,74672610,75151504,75236737,75468824,75476468,75981278,76310462,76414081,76951040,77440477,78181323,78796096,78900637,79126415,79617908,79650784,79773277,79925020,79985114,80054610,80404827,81159300,81225668,81557822,81799357,82729895,83190062,83381377,83516078,83937752,84545442,84634175,84818702,84902427,85143998,85347224,85391584,85809181,86093437,86505495,86519281,86569920,86726084,87417038,87487895,88065182,88098308,88357117,88532450,88645608,88920157,89048571,89359742,89607132,89762557,90042781,90462577,91021297,91857217,92272528,92341248,92829181,94429971,94516395,94714484,94835918,94879491,94900081,94951698,95174977,95860957,95910024,96015627,96065532,96118382,96611847,96681757,96762308,97054971,97391160,98993281,99275874,99726309,99851595,...,165866931606424055706311820066495962405855059256097643260929841858854843416206197791837310381019597952939773253066214491508066711150466893582750953308557425148518316008343861296709288104114225093745743539379110041265009886366406578373365642191106860882668632213625907337535926458781633055635754009975920756396368711725865107738879982646215398750223387869780606204177060152198388561217840646341129115766032282597118217322195368937705316934248139725316796922214982116762282741517398743014030417144909948389536716850660862022808187862584308614772377175813006819031473234148068159609392527932395673527902766033559248605895926475676024550850205790768222380849358304513366918821107186087915459286958901178598947696126441632541186664415760039631224614338098839248946995034702080264892492048793126759455753216144368791941402518857871359699668146707059662495053474425334087282961119849868023696040500420897220342964156985255318927550901159630903420172918751554464487605227505930720349696318023340568816321527823173304177657070523591606275045480203913694551634888686136592188497962937043836313621633603686368059961139747354201117602153568058076586017161793213366903208331840754711123511653482545584377267325308883526744239581595728729908937518516579366330127822358779655886724963892710698746926124671412834961804032000551197696873466392370679964071379969665947270172978705304746585574625718650441233501710333850286752804096041966869236542437608767964029674186827661970680322743362960865172966216548035797443988340574875020490975938981217027508003930810454857051373287506559867191412871425567282913240012717767649067353518106354163164883565313562557325651734526903217035668027244872114811867218640975200986640725628583811422231775674073403882364564127765311133684152327414741810180461379399080789083324455523968992181956773686112621918882024759508263943110590095593185383400574348117441474467161290823375498706636759483682407257471176537180630685847356930450969465506108874415033262689113490710583677123345988402170042008961019720193574196831103617201594532562240970298967257625428832678544405183165837032763789349002269417509726287911932892118041817387538951127427436554829826066061821294308645479984176838540217442898603142588359250791762352422481330549410976940781010899346045807366675740808195300061945760772086081259074042531591410263456286514149561275365029919069537500806106947800041031477646465234975272014314536307103548943025357061353995972516568580173831530994625202244427598267542999801513577661072118104564843370530725496791434813822393843431627809677860632749187349247254230933485423087032576680851967521897596333549363156742848854934086458441523514642319524875100126049255887249153649283696816912978085381901251652586670981991013739419359144551606853559866838324541360618503478922602384557923814030967430580952670501359914795938186682467897246190566748114811095591049608405109824225326362603570521903094247603019927897350650009337592965578055816534110386892988096500342814001965129292907773764466680474123972264545537774727515846894792113820624188208207472269189811867846107596654732898402679378372623376441297137154912996803270244067003639567702971527628462776379423807741440353843986570163703104085564870916666572002583641926622797364371657378907587411202641213099274899818578898050862661247108094536115201877257750888696118188281974110882050141752246149428789019562526182961400369298730870344216058601938427444058678328952012925283530028003710662702779555515586411865281404540137621815774908097151792870801705413990740187916427293909306907205210875324844940510364218371075075208101225952996364969284570481358260671038274116673926253899788836138550831037812711675752464144205454888050925111456312740622809784255271347323191378800279847869924187269748303044816238937362085843018442702662735884044103920692582372541007489273588205979775476845500840367002554046144780283549012084252042782811425982910229193579312628315718250713902055257662150619723857692618660556973328447691387392238902401259847286233498077049836304465196705867987872141579051305339033077229137032579932435601797925066812075983850072893424212224508285324957229089646305282711582210310555582147749514915132079166614709403343283377127347314471546745037061241821483220475642045545601561732128246113101340461896312574684891412627800045345124451129547350787091783629601242009688155379636318309527649767472474198164315746798596834158887423291225169946389073543325757876305771665399132608771630809946637581353480581299065026215761412847035986195534149268293659469654638645706453310648341259125577247889318302206451445920337317573824971434414526185414687803811036580898731978789255293870868300379023440076890451562060696682455842088914676783993658313318559243116117122788107233123167074225797667078494947181974876558513316}
30083  357380450062290994497046597258580919075037511984888160701945391127439778371351647594599: {1052485,1262982,1503550,1804260,1924544,2165112,2435751,2855605,3426726,3577021,4298437,4657285,5110030,5588742,6032613,6099541,6132036,7274278,8713630,8725053,8984053,9705181,9879541,10053685,10456356,10941476,12064422,13345105,14113630,14203717,14629413,15203782,15630680,16005457,16014126,16936356,17367166,17584515,17838957,18516344,18756816,18888241,19478437,19615285,20137381,20507637,20830887,21101418,21410677,22594885,23018437,23487985,23538342,24766293,24798675,25631102,26451920,27041713,27086158,27113862,27379957,28185582,29353357,29432785,29686436,29729605,29758410,30221077,30930711,31213861,31509685,31742304,32444053,33880885,35319342,35352453,35675526,35685457,35710092,35953585,36154916,36406317,36615860,36822275,37239037,37423717,37811622,38143981,38700536,38954278,39037197,40058686,40657062,41203141,42306013,43144302,43538103,43939032,44186730,44282757,44591230,47132512,47171185,48972037,49431411,49581476,49698781,49917301,50113585,50238584,51258788,51649880,51831075,52603250,53024076,53123096,53245766,53509476,53644381,53670333,54079822,54495421,55286480,56518407,56605422,56783973,57775796,57956977,58106115,58861630,59763483,60136302,60673105,60923397,61597406,61734997,61979856,62197290,62779981,63123900,63433117,64534053,64883782,65166097,65391997,65757566,66035221,66245701,66343776,66517105,67332160,67620477,68849822,68946584,69141685,69594757,69694436,69727338,70633956,70717501,70748324,70830680,70889605,71211477,71310430,71366158,72528877,72636085,72747237,72807726,73226840,73445533,74189557,74636748,74678821,74687653,74717636,75147500,75253105,75302517,75748680,75779761,76065380,76504753,76634830,77564907,77832253,77899981,78430957,79379733,79684515,79820526,79897585,80738462,80767285,80798592,82380195,82715828,82970022,83189486,83921271,84281835,84903806,84996816,85067526,85110385,85217265,85572516,87163302,87872208,88187077,88215302,89007717,89900624,90008966,90177000,90303726,90376273,90898416,91278456,91891933,91961796,92339175,92535213,92733157,92925541,93194822,93939380,94336030,94345585,94790276,95621418,95657437,95877102,96188800,96920742,97299397,97774424,98013313,98081038,98495120,98856234,99156344,99522385,99563480,99906275,...,248800397409636083559467730099743943608782588884146464891394762788282265124309296687755965571529396929409659879599321737262100066725700340374126429962836137722777474012515791945063932156171337640618615309068665061897514829549609867560048463286660291324002948320438861006303889688172449583453631014963881134594553067588797661608319973969323098125335081804670909306265590228297582841826760969511693673649048423895677325983293053406557975401372209587975195383322473175143424112276098114521045625717364922584305075275991293034212281793876462922158565763719510228547209851222102239414088791898593510291854149050338872908843889713514036826275308686152333571274037456770050378231660779131873188930438351767898421544189662448811779996623640059446836921507148258873420492552053120397338738073189690139183629824216553187912103778286807039549502220060589493742580211638001130924441679774802035544060750631345830514446235477882978391326351739446355130259378127331696731407841258896080524544477035010853224482291734759956266485605785387409412568220305870541827452333029204888282746944405565754470432450405529552089941709621031301676403230352087114879025742689820050354812497761132066685267480223818376565900987963325290116359372393593094863406277774869049495191733538169483830087445839066048120389187007119252442706048000826796545310199588556019946107069954498920905259468057957119878361938577975661850252565500775430129206144062950303854813656413151946044511280241492956020484115044441297759449324822053696165982510862312530736463908471825541262005896215682285577059931259839800787119307138350924369860019076651473601030277159531244747325347970343835988477601790354825553502040867308172217800827961462801479961088442875717133347663511110105823546846191647966700526228491122112715270692069098621183624986683285953488272935160529168932878323037139262395914665885143389778075100861522176162211700741936235063248059955139225523610886206764805770946028771035395676454198259163311622549894033670236065875515685018982603255063013441529580290361295246655425802391798843361455448450886438143249017816607774748755549145684023503404126264589431867899338177062726081308426691141154832244739099092731941462968219976265257810326164347904713882538876187643528633721995824116465411171516349019068711050013611212292950092918641158129121888611063797387115395184429771224341913047544878604306251209160421700061547216469697852462908021471804460655323414538035592030993958774852870260747296491937803366641397401314499702270366491608177156847265055796088245187152220733590765147441714516790949123781023870881346400228134630548865021277951282846394500324044735114273282401129687662285271963479287312650189073883830873730473925545225369467128072851877478880006472986520609129038716827410280339800257486812040927755218383903576836885721046451145871429005752039872193907280023701845869285850122172216643386574412607664736337989543905355782854641371404529891846025975014006389448367083724801165580339482144750514221002947693939361660646700020711185958396818306662091273770342188170730936282312311208403784717801769161394982099347604019067558935064661945705732369495204905366100505459351554457291442694164569135711612160530765979855245554656128347306374999858003875462889934196046557486068361381116803961819648912349727868347076293991870662141804172802815886626333044177282422961166323075212628369224143183529343789274442100553948096305516324087902907641166088017493428019387925295042005565994054169333273379617797922106810206432723662362145727689306202558120986110281874640940863960360807816312987267410765546327556612612812151838929494547453926855722037391006557411175010889380849683254207826246556719067513628696216308182332076387667184469110934214676382907020984787068200419771804886280904622454567224358406043128764527664053994103826066155881038873558811511233910382308969663215268251260550503831069217170425323518126378064174217138974365343790368968942473577376070853082886493225929585786538927990835459992671537081088358353601889770929350247115574754456697795058801981808212368576958008549615843705548869898653402696887600218113975775109340136318336762427987435843634469457924067373315465833373221624272372698118749922064105014925065691020971707320117555591862732224830713463068318402342598192369169652010692844468862027337118941700068017686676694321026180637675444401863014532233069454477464291474651208711297246473620197895251238331134936837754919583610314988636814458657498098698913157446214919956372030220871948597539323642119270553979293301223902440489204481957968559679965972511888688365871833977453309677168880505976360737457151621789278122031705716554871348097968183882940806302450568535160115335677343091045023683763133372015175990487469977838864674175684182160849684750611338696500617742420772962314837769974}
30084  358490141511194301312440680613753417494017894059100134291168895389643186117385195387135: {390923,661562,1111739,1382714,1683976,1894473,2130923,2190803,2255325,2405680,2706390,2886816,3028283,3183074,3247668,4102739,4261562,4568968,4698539,4877123,4996139,5140089,6303203,6955283,7451656,7488083,7665045,8043484,8176048,8374643,8383113,9198054,9848243,10906139,10911417,11633404,11902883,12488123,13070445,13130963,13676845,13941808,14879243,15684534,15684794,16085896,16156739,16201801,16412214,16446539,17456354,17719283,18096633,18584843,18872963,19045739,19448603,19505884,19538350,19793603,20080883,20597483,21170445,21341114,21352168,22029083,22200539,22581808,22657403,22805673,23056739,23145430,23341739,23446020,23785276,24021189,24857594,24934043,25009088,25217723,25404534,25614539,25784483,26050749,26576603,26610434,27310739,27343516,27592739,27761843,27774516,28135224,28606283,29673323,30105314,30513683,30793403,30849323,31384456,31652127,32523203,33021724,33064900,33301883,33635123,33862969,35020523,35131139,35307513,35320634,36151816,36786539,37108045,37171763,37580776,38434274,38446653,38779514,39092003,39420203,39638843,39677880,40159034,40629237,40670793,40784603,40893539,41240948,41600843,42223994,42278373,42323072,42361043,42523739,42686363,43173803,43597754,43958761,44038763,44529654,44637615,44686139,44793923,45193645,45762539,45769825,46138523,46482709,46567739,47092456,47136604,47567368,47613456,48172739,48375670,48541756,49069754,49132283,50301539,50415496,50566739,50937683,51452162,52049596,52839203,52979013,53513289,53565138,53575883,54166274,54209416,54232374,54415883,54923790,55463003,55519874,55828739,55857373,56089739,56246243,56717433,56871539,57525736,57547643,58050804,58326083,58429739,58431417,58585376,58915640,59043676,59230394,59567843,59722739,59825963,59877563,60088029,60328261,60911234,60985593,61582562,61976845,62293739,62798230,63061139,63418643,63724763,63927674,64073485,64183403,64562350,64716453,64743083,64946363,65098739,65200283,65908548,66011483,66264563,66280095,66403870,66719603,66886845,67375739,68131139,68264162,68282003,69035243,69108100,70036763,70386539,70589114,70698768,71345968,71560444,72219745,72625739,72873539,73368539,73615739,74228354,74372214,75357876,75473896,75711964,76419683,76468643,76888182,77446163,77474820,78517739,78663046,78904875,79536114,79684644,79868649,80181736,80214539,80264214,81119733,81231196,81516803,81805403,82108034,82237763,82434554,82639808,82861139,82929720,83087162,84165200,84532739,84908133,85151123,85552621,85578443,85815563,86045404,86099843,86183230,86341562,86525723,86663694,86761801,86990714,87118045,87234083,87705323,88292445,88410683,88435405,88458368,88538350,88551539,89488739,89816003,90049523,90096203,90160636,90204453,90227834,90515963,91533550,92049539,92163194,92396109,92969784,93295935,93297803,93397045,93666539,93934375,94178608,94527862,94677923,94685850,94948636,94953083,95081725,96996316,97076968,97098539,97325673,97416563,97552739,98232539,98257634,98636349,99136139,99515664,...,373200596114454125339201595149615915413173883326219697337092144182423397686463945031633948357294095394114489819398982605893150100088550510561189644944254206584166211018773687917595898234257006460927922963602997592846272244324414801340072694929990436986004422480658291509455834532258674375180446522445821701891829601383196492412479960953984647188002622707006363959398385342446374262740141454267540510473572635843515988974939580109836963102058314381962793074983709762715136168414147171781568438576047383876457612913986939551318422690814694383237848645579265342820814776833153359121133187847890265437781223575508309363265834570271055239412963029228500356911056185155075567347491168697809783395657527651847632316284493673217669994935460089170255382260722388310130738828079680596008107109784535208775444736324829781868155667430210559324253330090884240613870317457001696386662519662203053316091125947018745771669353216824467586989527609169532695389067190997545097111761888344120786816715552516279836723437602139934399728408678081114118852330458805812741178499543807332424120416608348631705648675608294328134912564431546952514604845528130672318538614034730075532218746641698100027901220335727564848851481944987935174539058590389642295109416662303574242787600307254225745131168758599072180583780510678878664059072001240194817965299382834029919160604931748381357889202086935679817542907866963492775378848251163145193809216094425455782220484619727919066766920362239434030726172566661946639173987233080544248973766293468796104695862707738311893008844323523428365589896889759701180678960707526386554790028614977210401545415739296867120988021955515753982716402685532238330253061300962258326701241942194202219941632664313575700021495266665158735320269287471950050789342736683169072906038103647931775437480024928930232409402740793753399317484555708893593871998827715084667112651292283264243317551112904352594872089932708838285416329310147208656419043156553093514681297388744967433824841050505354098813273527528473904882594520162294370435541942869983138703587698265042183172676329657214873526724911662123133323718526035255106189396884147801849007265594089121962640036711732248367108648639097912194452329964397886715489246521857070823808314281465292950582993736174698116757274523528603066575020416818439425139377961737193682832916595696080673092776644656836512869571317317906459376813740632550092320824704546778694362032207706690982985121807053388046490938162279305391120944737906705049962096101971749553405549737412265735270897583694132367780728331100386147721162571775186423685671535806322019600342201945823297531916926924269591750486067102671409923601694531493427907945218930968975283610825746310595710888317838054200692109277816218320009709479780913693558075241115420509700386230218061391632827575855365255328581569676718807143508628059808290860920035552768803928775183258324965079861618911497104506984315858033674281962057106794837769038962521009584172550625587201748370509223217125771331504421540909042490970050031066778937595227459993136910655513282256096404423468466812605677076702653742092473149021406028601338402596992918558598554242807358049150758189027331685937164041246853703567418240796148969782868331984192520959562499787005813194334901294069836229102542071675205942729473368524591802520614440987805993212706259204223829939499566265923634441749484612818942553836214775294015683911663150830922144458274486131854361461749132026240142029081887942563008348991081253999910069426696883160215309649085493543218591533959303837181479165422811961411295940541211724469480901116148319491334918919218227758394241821180890283583056086509836116762516334071274524881311739369835078601270443044324462273498114581500776703666401322014574360531477180602300629657707329421356933681850836537609064693146791496080991155739099233821558310338217266850865573463454494822902376890825755746603825755637985277189567096261325708461548015685553453413710366064106279624329739838894378679808391986253189989007305621632537530402834656394025370673362131685046692588202972712318552865437012824423765558323304847980104045331400327170963662664010204477505143641981153765451704186886101059973198750059832436408559047178124883096157522387598536531457560980176333387794098337246070194602477603513897288553754478016039266703293041005678412550102026530015041481539270956513166602794521798349604181716196437211976813066945869710430296842876857496702405256632379375415472482955221687986247148048369736169322379934558045331307922896308985463178905830968939951835853660733806722936952839519948958767833032548807750966179964515753320758964541106185727432683917183047558574832307022146952275824411209453675852802740173003516014636567535525644700058022763985731204966758297011263526273241274527125917008044750926613631159443472256654961}
30085  359603258574559879338715894289487015416349293011124358439819894988992543074662237174427: {992343,1473479,2074071,2104970,2525964,3007100,3608520,3849088,3997847,4059585,4330224,4774611,4871502,5079971,5711210,6392343,6520199,6853452,7154042,8596874,9314570,10054355,10220060,10846967,11177484,12065226,12199082,12264072,13797081,14075159,14541755,14548556,16786211,17427260,17450106,17968106,18683147,19410362,19759082,20107370,20138723,20912712,21110387,21882952,23019971,23526801,23527191,23798723,24128844,24382355,24618321,26184531,26690210,27461399,28227260,28407434,29258826,29307525,29731595,30223091,30407564,31261360,31632839,32010914,32011671,32028252,32358131,32883179,33872712,34179395,34690331,34718145,34734332,35169030,35677914,37032688,37286391,37426211,37513632,37776482,38106801,38146523,38956874,39230570,39915651,40004663,40274762,40275227,41015274,41085059,41205899,41277155,41331125,41621447,41661774,41835959,42202836,42821354,44009771,44113559,45157971,45189770,46036874,46975970,47076684,47283191,47433239,49532586,49597350,50335019,50351531,51262204,51551185,51666659,52903840,52980951,54083426,54172316,54227724,54479111,54759914,55514027,56371164,57651411,58169271,58268627,58706714,58734923,58865570,58920755,59372872,59459210,59516820,60238551,60442154,60677195,60906647,61861422,62427722,63019370,63335991,63437363,63474011,63484608,64888106,65061995,65396631,65465987,65992583,66039659,66794481,67761770,68344931,69312023,70159019,70638684,70704906,70972871,71351052,71370914,71420184,71907170,72309832,72563505,72812634,73224503,73231720,73604631,73644550,73804595,74194523,74478074,74847434,74966411,74987483,75623244,76066871,76287962,76796939,77178243,77281451,77401072,77908556,78074394,79037207,79087283,80117372,80347707,81249411,81314124,81348561,82385685,82406282,83279811,84274667,84612026,84695027,84942347,86288604,86385125,87076206,87878064,88373460,88565514,88842743,88845591,89182460,89450555,91366851,92373843,92691131,93123947,94197345,94265024,94342370,94639955,94662467,95891511,96798359,96843525,97944074,98654987,98862822,99162952,99245447,99334199,99397562,99605805,99834602,...,497600794819272167118935460199487887217565177768292929782789525576564530248618593375511931143058793858819319759198643474524200133451400680748252859925672275445554948025031583890127864312342675281237230618137330123795029659099219735120096926573320582648005896640877722012607779376344899166907262029927762269189106135177595323216639947938646196250670163609341818612531180456595165683653521939023387347298096847791354651966586106813115950802744419175950390766644946350286848224552196229042091251434729845168610150551982586068424563587752925844317131527439020457094419702444204478828177583797187020583708298100677745817687779427028073652550617372304667142548074913540100756463321558263746377860876703535796843088379324897623559993247280118893673843014296517746840985104106240794677476146379380278367259648433106375824207556573614079099004440121178987485160423276002261848883359549604071088121501262691661028892470955765956782652703478892710260518756254663393462815682517792161049088954070021706448964583469519912532971211570774818825136440611741083654904666058409776565493888811131508940864900811059104179883419242062603352806460704174229758051485379640100709624995522264133370534960447636753131801975926650580232718744787186189726812555549738098990383467076338967660174891678132096240778374014238504885412096001653593090620399177112039892214139908997841810518936115914239756723877155951323700505131001550860258412288125900607709627312826303892089022560482985912040968230088882595518898649644107392331965021724625061472927816943651082524011792431364571154119862519679601574238614276701848739720038153302947202060554319062489494650695940687671976955203580709651107004081734616344435601655922925602959922176885751434266695327022220211647093692383295933401052456982244225430541384138197242367249973366571906976545870321058337865756646074278524791829331770286779556150201723044352324423401483872470126496119910278451047221772413529611541892057542070791352908396518326623245099788067340472131751031370037965206510126026883059160580722590493310851604783597686722910896901772876286498035633215549497511098291368047006808252529178863735798676354125452162616853382282309664489478198185463882925936439952530515620652328695809427765077752375287057267443991648232930822343032698038137422100027222424585900185837282316258243777222127594774230790368859542448683826095089757208612502418320843400123094432939395704925816042943608921310646829076071184061987917549705740521494592983875606733282794802628999404540732983216354313694530111592176490374304441467181530294883429033581898247562047741762692800456269261097730042555902565692789000648089470228546564802259375324570543926958574625300378147767661747460947851090450738934256145703754957760012945973041218258077433654820560679600514973624081855510436767807153673771442092902291742858011504079744387814560047403691738571700244344433286773148825215329472675979087810711565709282742809059783692051950028012778896734167449602331160678964289501028442005895387878723321293400041422371916793636613324182547540684376341461872564624622416807569435603538322789964198695208038135117870129323891411464738990409810732201010918703108914582885388329138271423224321061531959710491109312256694612749999716007750925779868392093114972136722762233607923639297824699455736694152587983741324283608345605631773252666088354564845922332646150425256738448286367058687578548884201107896192611032648175805815282332176034986856038775850590084011131988108338666546759235595844213620412865447324724291455378612405116241972220563749281881727920721615632625974534821531092655113225225624303677858989094907853711444074782013114822350021778761699366508415652493113438135027257392432616364664152775334368938221868429352765814041969574136400839543609772561809244909134448716812086257529055328107988207652132311762077747117623022467820764617939326430536502521101007662138434340850647036252756128348434277948730687580737937884947154752141706165772986451859171573077855981670919985343074162176716707203779541858700494231149508913395590117603963616424737153916017099231687411097739797306805393775200436227951550218680272636673524855974871687268938915848134746630931666746443248544745396237499844128210029850131382041943414640235111183725464449661426926136636804685196384738339304021385688937724054674237883400136035373353388642052361275350888803726029064466138908954928582949302417422594492947240395790502476662269873675509839167220629977273628917314996197397826314892429839912744060441743897195078647284238541107958586602447804880978408963915937119359931945023777376731743667954906619354337761011952721474914303243578556244063411433109742696195936367765881612604901137070320230671354686182090047367526266744030351980974939955677729348351368364321699369501222677393001235484841545924629675539948}
30086  360719811765649524384304756439771294203100604086350616431599104378091301205768494832774: {781846,1323124,2190949,2223478,2765428,2908933,3088249,3157455,3367952,3758875,3788946,3804793,4162633,4261846,4381606,4510650,4811360,5412780,5773632,6056566,6366148,6495336,6659449,7307253,8205478,8434249,8523124,8566815,9137936,9397078,9754246,9992278,10280178,10731063,12606406,12775075,12895311,13540453,13910566,13971855,14414713,14763913,14903312,14976166,15330090,16086968,16352096,16749286,16766226,18066949,18097839,18185695,18298623,18396108,18931849,19147583,19696486,21687433,21784075,21812278,21822834,23266808,23805766,24976246,25616293,26140890,26175159,26261926,26465353,26804473,26952159,27353690,27883616,29115543,29338693,29638623,29758486,30161055,30851449,31019173,31369068,31369588,32171792,32313478,32403602,32824428,32893078,33359749,34912708,35284075,35438566,36017413,36193266,36844153,37169686,37339333,37745926,38009455,38091478,38163193,38897206,39011768,39076700,39587206,40035315,40133113,40161766,40787449,40950853,41194966,41766793,42340890,42418249,42580933,42611151,42682228,42704336,43417915,43888239,44058166,44203813,44401078,45163616,45314806,45611346,45819493,46113478,46290860,46683478,46892040,47106853,47570552,48016371,48042378,48069349,48229513,49715188,49868086,50018176,50305093,50435446,50623333,50809068,51229078,51568966,51951263,52101498,52684873,52753545,53153206,53220868,53516871,54621478,54687032,55185478,55523686,55549032,55832713,56145913,56270448,56615173,56664723,56927653,57212566,58435311,58485733,58845855,59346646,59881849,60210628,60412143,61027366,61426249,61522911,61586806,61698646,61806679,62349433,62492661,62768912,63116773,63271103,63304254,63576313,63729349,64077755,64232031,65046406,65103433,66013259,66043448,66129800,66168133,66603766,67270246,67715395,67725938,67784655,69040249,69055311,70041046,70262278,70391653,70463955,70615026,70641268,72303632,72928393,73373893,73573078,73670533,74216090,74298879,74343526,74396025,74410873,75149413,75161552,76474249,76868548,76893306,77207749,77559028,78184006,78840406,79277686,79355760,80318068,81125139,81258474,81341586,81569206,81715273,81787078,82139871,82481896,83201686,84447988,84556746,84646144,84722086,85047478,85372726,86347606,86767583,87195508,87287749,87917522,88060071,88077526,88298355,89059308,89188815,89275230,89372278,89587846,89702879,90102949,90387290,90663231,91525078,91539650,92277046,92792133,92965418,93135478,93641583,93719653,94133833,94184912,94273208,94529055,95134736,95226912,95509753,96195013,96345478,96751340,97083512,97332159,97385695,98139508,98264566,98511433,99188773,99729349,...,746401192228908250678403190299231830826347766652439394674184288364846795372927890063267896714588190788228979638797965211786300200177101021122379289888508413168332422037547375835191796468514012921855845927205995185692544488648829602680145389859980873972008844961316583018911669064517348750360893044891643403783659202766392984824959921907969294376005245414012727918796770684892748525480282908535081020947145271687031977949879160219673926204116628763925586149967419525430272336828294343563136877152094767752915225827973879102636845381629388766475697291158530685641629553666306718242266375695780530875562447151016618726531669140542110478825926058457000713822112370310151134694982337395619566791315055303695264632568987346435339989870920178340510764521444776620261477656159361192016214219569070417550889472649659563736311334860421118648506660181768481227740634914003392773325039324406106632182251894037491543338706433648935173979055218339065390778134381995090194223523776688241573633431105032559673446875204279868799456817356162228237704660917611625482356999087614664848240833216697263411297351216588656269825128863093905029209691056261344637077228069460151064437493283396200055802440671455129697702963889975870349078117180779284590218833324607148485575200614508451490262337517198144361167561021357757328118144002480389635930598765668059838321209863496762715778404173871359635085815733926985550757696502326290387618432188850911564440969239455838133533840724478868061452345133323893278347974466161088497947532586937592209391725415476623786017688647046856731179793779519402361357921415052773109580057229954420803090831478593734241976043911031507965432805371064476660506122601924516653402483884388404439883265328627151400042990533330317470640538574943900101578685473366338145812076207295863550874960049857860464818805481587506798634969111417787187743997655430169334225302584566528486635102225808705189744179865417676570832658620294417312838086313106187029362594777489934867649682101010708197626547055056947809765189040324588740871083885739966277407175396530084366345352659314429747053449823324246266647437052070510212378793768295603698014531188178243925280073423464496734217297278195824388904659928795773430978493043714141647616628562930585901165987472349396233514549047057206133150040833636878850278755923474387365665833191392161346185553289313673025739142634635812918753627481265100184641649409093557388724064415413381965970243614106776092981876324558610782241889475813410099924192203943499106811099474824531470541795167388264735561456662200772295442325143550372847371343071612644039200684403891646595063833853848539183500972134205342819847203389062986855815890437861937950567221651492621191421776635676108401384218555632436640019418959561827387116150482230841019400772460436122783265655151710730510657163139353437614287017256119616581721840071105537607857550366516649930159723237822994209013968631716067348563924114213589675538077925042019168345101251174403496741018446434251542663008843081818084981940100062133557875190454919986273821311026564512192808846936933625211354153405307484184946298042812057202676805193985837117197108485614716098301516378054663371874328082493707407134836481592297939565736663968385041919124999574011626388669802588139672458205084143350411885458946737049183605041228881975611986425412518408447659878999132531847268883498969225637885107672429550588031367823326301661844288916548972263708722923498264052480284058163775885126016697982162507999820138853393766320430619298170987086437183067918607674362958330845623922822591881082423448938961802232296638982669837838436455516788483642361780567166112173019672233525032668142549049762623478739670157202540886088648924546996229163001553407332802644029148721062954361204601259315414658842713867363701673075218129386293582992161982311478198467643116620676434533701731146926908989645804753781651511493207651511275970554379134192522651416923096031371106906827420732128212559248659479677788757359616783972506379978014611243265075060805669312788050741346724263370093385176405945424637105730874025648847531116646609695960208090662800654341927325328020408955010287283962307530903408373772202119946397500119664872817118094356249766192315044775197073062915121960352666775588196674492140389204955207027794577107508956032078533406586082011356825100204053060030082963078541913026333205589043596699208363432392874423953626133891739420860593685753714993404810513264758750830944965910443375972494296096739472338644759869116090662615845792617970926357811661937879903671707321467613445873905679039897917535666065097615501932359929031506641517929082212371454865367834366095117149664614044293904551648822418907351705605480346007032029273135071051289400116045527971462409933516594022527052546482549054251834016089501853227262318886944513309922}
30087  361839811629802291465781927938145799913567064802602372900442573780871246563905037224375: {1172769,1653905,1984686,2946958,3335217,3456785,4148142,4209940,5051928,5621033,5683419,6014200,6392769,6572409,6765975,7217040,7698176,7957685,7995694,8119170,8660448,9084849,9549222,9584993,9743004,10159942,10653905,11422420,11748377,12308217,12784686,13040398,13706904,14076097,14095617,14308084,14631369,14988417,15420267,15524993,17193748,18629140,18909609,20108710,20358457,20440120,20865849,20930213,21693934,22354968,22464249,22995135,23800309,24130452,24398164,24528144,25123929,25149339,25254389,27594162,28150318,29083510,29097112,29544729,30101033,32718417,32734251,33572422,34135297,34854520,34900212,35708649,35936212,36583409,37366294,37464369,38820724,39211335,39211985,39392889,39518164,40007329,40214740,40277446,40904993,41030535,41087797,41624233,41825424,42220774,43640885,43765904,44637729,45013489,46039942,47053602,47054382,47597446,47851153,48257688,48470217,48605403,48764710,48845875,49050353,49236642,49339617,49442497,52369062,53157849,53352785,53380420,54289899,54922798,55754529,56454520,56618889,56814868,57137217,57788017,57863575,58345809,58517652,58615050,59380809,59463190,60242649,60446182,60815128,61060597,61792449,62045089,62143985,62287153,62522720,63265678,63511335,64021828,64023342,64056504,64716262,64747793,65766358,66087249,66526085,66601617,67685173,67745424,67851529,67972209,68358790,68417019,69170217,69380662,69436290,69468664,70025217,70338060,71355828,72063567,72171659,74065376,74327857,74572782,74802129,74852422,74971429,75027264,75263285,75552964,75653169,75789893,76213602,76293046,76843617,77353449,77913748,78152247,78441473,78461140,78645409,79729809,79831302,80009326,80549524,80550454,81914209,81932217,82030548,82170118,82411798,82489057,82554310,82662250,82778217,83242894,83285529,83323548,83671918,84298313,84405672,84948073,85642708,85818849,85831873,86538049,88019542,88227118,88301585,89019969,90086713,90315942,90379540,91086793,91541049,92073748,92380209,92547969,93466789,93951940,94153368,94299977,94566382,94866478,94956381,96085685,96948785,97017113,97569609,99065172,99194700,99905649,...,1119601788343362376017604785448847746239521649978659092011276432547270193059391835094901845071882286182343469458196947817679450300265651531683568934832762619752498633056321063752787694702771019382783768890808992778538816732973244404020218084789971310958013267441974874528367503596776023125541339567337465105675488804149589477237439882861953941564007868121019091878195156027339122788220424362802621531420717907530547966924818740329510889306174943145888379224951129288145408505242441515344705315728142151629372838741960818653955268072444083149713545936737796028462444330499460077363399563543670796313343670726524928089797503710813165718238889087685501070733168555465226702042473506093429350186972582955542896948853481019653009984806380267510766146782167164930392216484239041788024321329353605626326334208974489345604467002290631677972759990272652721841610952371005089159987558986609159948273377841056237315008059650473402760968582827508598086167201572992635291335285665032362360450146657548839510170312806419803199185226034243342356556991376417438223535498631421997272361249825045895116946026824882984404737693294640857543814536584392016955615842104190226596656239925094300083703661007182694546554445834963805523617175771168926885328249986910722728362800921762677235393506275797216541751341532036635992177216003720584453895898148502089757481814795245144073667606260807039452628723600890478326136544753489435581427648283276367346661453859183757200300761086718302092178517699985839917521961699241632746921298880406388314087588123214935679026532970570285096769690669279103542036882122579159664370085844931631204636247217890601362964065866547261948149208056596714990759183902886774980103725826582606659824897992940727100064485799995476205960807862415850152368028210049507218718114310943795326312440074786790697228208222381260197952453667126680781615996483145254001337953876849792729952653338713057784616269798126514856248987930441625969257129469659280544043892166234902301474523151516062296439820582585421714647783560486883111306625828609949416110763094795126549518028988971644620580174734986369399971155578105765318568190652443405547021796782267365887920110135196745101325945917293736583356989893193660146467739565571212471424942844395878851748981208524094350271823570585809199725061250455318275418133885211581048498749787088242019278329933970509538608713951953719378130441221897650276962474113640336083086096623120072948955365421160164139472814486837916173362834213720115149886288305915248660216649212236797205812692751082397103342184993301158443163487715325559271057014607418966058801026605837469892595750780772808775251458201308014229770805083594480283723835656792906925850832477238931787132664953514162602076327833448654960029128439342741080674225723346261529101158690654184174898482727566095765985744709030156421430525884179424872582760106658306411786325549774974895239584856734491313520952947574101022845886171320384513307116887563028752517651876761605245111527669651377313994513264622727127472910150093200336812785682379979410731966539846768289213270405400437817031230107961226277419447064218085804015207790978755675795662728422074147452274567081995057811492123740561110702254722388446909348604995952577562878687499361017439583004703882209508687307626215025617828188420105573775407561843322963417979638118777612671489818498698797770903325248453838456827661508644325882047051734989452492766433374823458395563084385247396078720426087245663827689025046973243761999730208280090649480645928947256480629655774601877911511544437496268435884233887821623635173408442703348444958474004756757654683275182725463542670850749168259529508350287549002213823574643935218109505235803811329132973386820494343744502330110999203966043723081594431541806901888973121988264070801045552509612827194079440374488242973467217297701464674931014651800552596720390363484468707130672477267239811477266913955831568701288783977125384644047056660360241131098192318838872989219516683136039425175958759569967021916864897612591208503969182076112020086395055140077764608918136955658596311038473271296674969914543940312135994200981512890987992030613432515430925943461296355112560658303179919596250179497309225677141534374649288472567162795609594372682940529000163382295011738210583807432810541691865661263434048117800109879123017035237650306079590045124444617812869539499808383565395048812545148589311635930439200837609131290890528630572490107215769897138126246417448865665063958741444145109208507967139803674135993923768688926956389536717492906819855507560982201420168810858518559846876303499097646423252898539893547259962276893623318557182298051751549142675724496921066440856827473233628361027558408220519010548043909702606576934100174068291957193614900274891033790578819723823581377751024134252779840893478330416769964883}
30088  362963268744531795494693724915274987283097887717815004198924454822101591204941107437353: {511207,871711,1231927,1563692,1771711,2646248,2977029,4381898,4420437,4446956,4996807,5262425,5530856,5817866,6176498,6222213,6314910,6735904,7489087,7517750,7577892,7609586,8021311,8325266,8523692,8763212,9021300,9622720,10320127,10825560,11547264,11993541,12113132,12178755,12431311,12732296,12990672,13318898,14278025,14323833,14614506,15239913,15404407,16410956,16448767,16868498,17046248,17133630,17317087,17885105,18275872,18794156,19177029,19393711,19508492,19560597,19911247,19984556,20560356,20600287,21462126,21492185,22317847,23286425,25050967,25212812,25459973,25550150,25731367,25790622,25901287,27080906,27427327,27821132,27943710,28829426,29527826,29806624,29952332,30163065,30497705,30660180,30797647,32137711,32173936,32540901,32704192,33498572,33532452,34305487,35136007,35467711,36133898,36195678,36371390,36597246,36792216,37863698,38295166,39392972,40899247,41225911,41391243,42225477,42366967,43374866,43568150,43624556,43625265,43645668,44800207,44920265,46533616,47611532,48525905,49397705,49952492,50268425,50358633,51209647,51232586,52281780,52350318,52523852,52930706,52952047,53213237,53608946,53741167,53904318,54707380,55627711,55767232,56049441,57971311,58231086,58438087,58677386,59277246,59516972,59834527,60322110,60416169,60785081,61702898,62038346,62302687,62738136,62739176,63331161,63835927,64141711,64343584,64626956,64807204,64904911,65209687,65648856,65786156,66425911,66719498,66725525,67486327,68392447,69059913,69078053,69825416,70196911,70568150,70580403,70581573,70877132,70945711,71018585,71396169,71692711,72034826,72386532,72884167,73044257,73147065,73688306,73854963,74339372,74678666,75491852,76018910,76136911,76182956,76326386,77794412,78023536,78153400,78553593,78772327,79063711,79174412,80027285,80070630,80266226,80323532,81528847,81574898,81901706,82384197,82389932,83533586,84545287,84681780,84836498,85161866,85222302,85258807,85364456,85408672,86254711,86835830,87776478,87922575,88116332,88407626,88802156,89080711,89194785,89708857,89782711,90063007,90327232,90482911,90629612,90669273,90902167,91222692,91638986,92156047,92226956,92581720,92850127,93366956,93680647,93784080,94213706,94441205,94801553,94898517,95141104,96032742,96035013,96084756,96138698,96459026,96976807,97074393,97392185,97658287,98076425,98649537,99151207,99421711,99430376,99736172,...,1492802384457816501356806380598463661652695533304878789348368576729693590745855780126535793429176381576457959277595930423572600400354202042244758579777016826336664844075094751670383592937028025843711691854411990371385088977297659205360290779719961747944017689922633166037823338129034697500721786089783286807567318405532785969649919843815938588752010490828025455837593541369785497050960565817070162041894290543374063955899758320439347852408233257527851172299934839050860544673656588687126273754304189535505830451655947758205273690763258777532951394582317061371283259107332613436484532751391561061751124894302033237453063338281084220957651852116914001427644224740620302269389964674791239133582630110607390529265137974692870679979741840356681021529042889553240522955312318722384032428439138140835101778945299319127472622669720842237297013320363536962455481269828006785546650078648812213264364503788074983086677412867297870347958110436678130781556268763990180388447047553376483147266862210065119346893750408559737598913634712324456475409321835223250964713998175229329696481666433394526822594702433177312539650257726187810058419382112522689274154456138920302128874986566792400111604881342910259395405927779951740698156234361558569180437666649214296971150401229016902980524675034396288722335122042715514656236288004960779271861197531336119676642419726993525431556808347742719270171631467853971101515393004652580775236864377701823128881938478911676267067681448957736122904690266647786556695948932322176995895065173875184418783450830953247572035377294093713462359587559038804722715842830105546219160114459908841606181662957187468483952087822063015930865610742128953321012245203849033306804967768776808879766530657254302800085981066660634941281077149887800203157370946732676291624152414591727101749920099715720929637610963175013597269938222835574375487995310860338668450605169133056973270204451617410379488359730835353141665317240588834625676172626212374058725189554979869735299364202021416395253094110113895619530378080649177481742167771479932554814350793060168732690705318628859494106899646648492533294874104141020424757587536591207396029062376356487850560146846928993468434594556391648777809319857591546861956986087428283295233257125861171802331974944698792467029098094114412266300081667273757700557511846948774731331666382784322692371106578627346051478285269271625837507254962530200369283298818187114777448128830826763931940487228213552185963752649117221564483778951626820199848384407886998213622198949649062941083590334776529471122913324401544590884650287100745694742686143225288078401368807783293190127667707697078367001944268410685639694406778125973711631780875723875901134443302985242382843553271352216802768437111264873280038837919123654774232300964461682038801544920872245566531310303421461021314326278706875228574034512239233163443680142211075215715100733033299860319446475645988418027937263432134697127848228427179351076155850084038336690202502348806993482036892868503085326017686163636169963880200124267115750380909839972547642622053129024385617693873867250422708306810614968369892596085624114405353610387971674234394216971229432196603032756109326743748656164987414814269672963184595879131473327936770083838249999148023252777339605176279344916410168286700823770917893474098367210082457763951223972850825036816895319757998265063694537766997938451275770215344859101176062735646652603323688577833097944527417445846996528104960568116327551770252033395964325015999640277706787532640861238596341974172874366135837215348725916661691247845645183762164846897877923604464593277965339675676872911033576967284723561134332224346039344467050065336285098099525246957479340314405081772177297849093992458326003106814665605288058297442125908722409202518630829317685427734727403346150436258772587165984323964622956396935286233241352869067403462293853817979291609507563303022986415303022551941108758268385045302833846192062742213813654841464256425118497318959355577514719233567945012759956029222486530150121611338625576101482693448526740186770352811890849274211461748051297695062233293219391920416181325601308683854650656040817910020574567924615061806816747544404239892795000239329745634236188712499532384630089550394146125830243920705333551176393348984280778409910414055589154215017912064157066813172164022713650200408106120060165926157083826052666411178087193398416726864785748847907252267783478841721187371507429986809621026529517501661889931820886751944988592193478944677289519738232181325231691585235941852715623323875759807343414642935226891747811358079795835071332130195231003864719858063013283035858164424742909730735668732190234299329228088587809103297644837814703411210960692014064058546270142102578800232091055942924819867033188045054105092965098108503668032179003706454524637773889026619844}
30089  364090193719623805385667805229924309403498966347405706154823610904712290156950287398631: {30089,1954615,2315467,2345538,3307810,3969372,4839499,5558695,5893916,6282331,6572847,6643039,6670434,6913570,8296284,8419880,8726799,9264747,9472365,10103856,10246027,10654615,10954015,11140759,11242066,11276625,11327719,11366838,11414379,12028400,12487899,12785538,13130539,13144818,13531950,14434080,14915467,15141415,15396352,15915370,15991388,16238340,17320896,18169698,18347719,19098444,19169986,19486008,19978347,20319884,20513695,21307810,21921759,21951199,22118107,22844840,23392591,23492695,23496754,24385615,24616434,24980695,25302747,25554679,25569372,25700445,26080796,26996071,27413808,28152194,28191234,28616168,29262738,29359231,29976834,30103039,30840534,31049986,31121407,31516015,32193189,33642331,34387496,34776415,36585847,37258280,37440415,37819218,38325225,38685933,40217420,40621359,40716914,40880240,40907719,41731698,41860426,41873215,41915565,42314479,43153627,43244139,43387868,43726027,44291739,44709936,44928498,45364279,45526687,45990270,47600618,48260904,48796328,49056288,49241215,49708747,50247858,50298678,50508778,51673567,54200847,54293517,54530695,54557085,54895869,54896779,55188324,56300636,56795547,57237547,57442749,57551239,57968599,58167020,58194224,59089458,59514415,60202066,61097239,61747351,62440615,64752127,65062299,65352225,65405131,65436834,65468502,65654815,67144844,68270594,68384225,69321307,69709040,69800424,71417298,71872424,72543391,73166818,73729099,74396215,74537947,74693899,74702599,74732588,74928738,76520119,76807207,76848879,77641448,78422670,78423970,78525477,78785778,79036328,79097887,79396059,80014658,80413419,80429480,80554892,80783695,80856477,81009005,81809986,82061070,82175594,82232695,83142859,83248466,83650848,84222247,84441548,84706351,87001579,87281770,87346629,87531808,87749911,88016079,88596415,88915869,89275458,90026978,90483165,92079884,92554347,92703559,92924215,93057519,93136519,94107204,94108764,94364815,95194892,95228695,95676619,95702306,96515376,96940434,97023607,97210806,97243015,97529420,97691750,98032999,98100706,98136319,98473284,98679234,98884994,98968015,99625279,...,2239203576686724752035209570897695492479043299957318184022552865094540386118783670189803690143764572364686938916393895635358900600531303063367137869665525239504997266112642127505575389405542038765567537781617985557077633465946488808040436169579942621916026534883949749056735007193552046251082679134674930211350977608299178954474879765723907883128015736242038183756390312054678245576440848725605243062841435815061095933849637480659021778612349886291776758449902258576290817010484883030689410631456284303258745677483921637307910536144888166299427091873475592056924888660998920154726799127087341592626687341453049856179595007421626331436477778175371002141466337110930453404084947012186858700373945165911085793897706962039306019969612760535021532293564334329860784432968478083576048642658707211252652668417948978691208934004581263355945519980545305443683221904742010178319975117973218319896546755682112474630016119300946805521937165655017196172334403145985270582670571330064724720900293315097679020340625612839606398370452068486684713113982752834876447070997262843994544722499650091790233892053649765968809475386589281715087629073168784033911231684208380453193312479850188600167407322014365389093108891669927611047234351542337853770656499973821445456725601843525354470787012551594433083502683064073271984354432007441168907791796297004179514963629590490288147335212521614078905257447201780956652273089506978871162855296566552734693322907718367514400601522173436604184357035399971679835043923398483265493842597760812776628175176246429871358053065941140570193539381338558207084073764245158319328740171689863262409272494435781202725928131733094523896298416113193429981518367805773549960207451653165213319649795985881454200128971599990952411921615724831700304736056420099014437436228621887590652624880149573581394456416444762520395904907334253361563231992966290508002675907753699585459905306677426115569232539596253029712497975860883251938514258939318561088087784332469804602949046303032124592879641165170843429295567120973766222613251657219898832221526189590253099036057977943289241160349469972738799942311156211530637136381304886811094043593564534731775840220270393490202651891834587473166713979786387320292935479131142424942849885688791757703497962417048188700543647141171618399450122500910636550836267770423162096997499574176484038556659867941019077217427903907438756260882443795300553924948227280672166172193246240145897910730842320328278945628973675832346725668427440230299772576611830497320433298424473594411625385502164794206684369986602316886326975430651118542114029214837932117602053211674939785191501561545617550502916402616028459541610167188960567447671313585813851701664954477863574265329907028325204152655666897309920058256878685482161348451446692523058202317381308368349796965455132191531971489418060312842861051768358849745165520213316612823572651099549949790479169713468982627041905895148202045691772342640769026614233775126057505035303753523210490223055339302754627989026529245454254945820300186400673625571364759958821463933079693536578426540810800875634062460215922452554838894128436171608030415581957511351591325456844148294904549134163990115622984247481122221404509444776893818697209991905155125757374998722034879166009407764419017374615252430051235656376840211147550815123686645926835959276237555225342979636997397595541806650496907676913655323017288651764094103469978904985532866749646916791126168770494792157440852174491327655378050093946487523999460416560181298961291857894512961259311549203755823023088874992536871768467775643247270346816885406696889916948009513515309366550365450927085341701498336519059016700575098004427647149287870436219010471607622658265946773640988687489004660221998407932087446163188863083613803777946243976528141602091105019225654388158880748976485946934434595402929349862029303601105193440780726968937414261344954534479622954533827911663137402577567954250769288094113320720482262196384637677745978439033366272078850351917519139934043833729795225182417007938364152224040172790110280155529217836273911317192622076946542593349939829087880624271988401963025781975984061226865030861851886922592710225121316606359839192500358994618451354283068749298576945134325591219188745365881058000326764590023476421167614865621083383731322526868096235600219758246034070475300612159180090248889235625739078999616767130790097625090297178623271860878401675218262581781057261144980214431539794276252492834897731330127917482888290218417015934279607348271987847537377853912779073434985813639711015121964402840337621717037119693752606998195292846505797079787094519924553787246637114364596103503098285351448993842132881713654946467256722055116816441038021096087819405213153868200348136583914387229800549782067581157639447647162755502048268505559681786956660833539929766}
30090  365220597197234132465478744309533791195049068269046755531478589347739486118657474461382: {571349,931829,1022414,1292021,1743422,1831769,2370869,2463854,3028889,3127384,3208181,3518307,3543422,3924629,4878101,4961715,5175641,5292496,5954058,6304469,6660341,6778901,7134389,7367395,7667081,8080949,8763796,8840874,8893912,9850229,9993614,10005651,10026761,10370355,10379609,10524850,10908341,11061712,11084441,11635732,12352996,12432149,12444426,12490649,12629820,13308809,13471808,13542281,13658969,14183669,14533109,14882261,14978174,15035500,15056729,15155784,15219172,15405449,15463541,16042622,16623701,16650532,16863099,17047384,17050257,17526424,17896181,18042600,18184841,19049621,19178307,19222361,19245440,19452569,19717227,19989235,20297925,20314709,20601689,20640254,21346901,21651120,21804821,22033589,22205081,23061461,23094528,23873055,23987082,24029849,24226264,24357510,24541589,24862622,25039147,25109429,25399855,25464592,25733129,25789781,25981344,26582069,26637796,27254547,27316361,27767561,28161941,28556050,28647666,28754979,29229012,29455001,29959829,30089059,30479826,30808814,30855701,31023449,31961715,32600995,32696969,32821912,32897534,33642101,33736996,34092496,34141529,34267260,34634174,35245131,35304341,35525429,35770210,36551744,36794201,36924651,36959381,37344521,37454489,37588312,37948949,38354058,38787422,39016984,39100169,39121194,39264341,39822494,39969112,40902101,40956569,41065481,41120712,41200574,41446421,41772629,42098549,42228291,42286851,42424181,42532661,42695321,42696787,42857909,42924252,42984370,43182869,43723829,43894107,44048021,44210009,44317961,44635694,44965251,45503321,45933401,46260801,46309301,46572850,46574979,47113481,48182921,49355609,50101934,50271775,50425624,50471381,50919946,50948489,51100300,51213269,51462734,51581244,51802574,52534169,52797749,53008469,53271689,53744981,54161812,54234835,54854654,55631669,55642264,55887420,55997321,56258261,56728827,57195989,57658852,57819701,58494089,59055652,59528969,59613248,59735561,59890421,59904664,60326130,60995410,61075371,61320360,61537781,61595294,62358389,62460821,62597547,62790639,62888371,63074741,63228041,63432329,63585461,63840521,64197269,64275422,64347872,64909589,64960409,65081802,65112821,65214389,65366681,65408384,66177689,66278921,66430709,66885641,66997144,67064904,67390361,67392747,67936267,67944629,68296841,68610974,68985405,69156787,69951989,70202009,70251989,70272014,70375795,70935422,71400927,71697929,72267796,72294281,72391356,72708775,72742780,72939029,73038101,73194492,73532981,73584432,73780121,74668169,75258761,75371787,75448017,75727396,75763167,76191509,76590332,76876949,77316761,77658389,78340469,78785944,80377301,81245909,81637699,81798494,81823541,82451822,82782486,83166869,83883929,83931055,84450954,84551561,84733934,85170101,85312649,85739861,86261129,86325031,86734169,86749732,87136300,87249112,87250530,87253589,87291336,87395081,88571381,88634187,88712201,89134229,89600414,89789429,89836169,89840530,90116441,90303099,90489689,90536309,90908981,91884809,92070281,92209301,93041909,93067232,93415735,93457241,93733769,93825881,95203721,95223064,96072629,96711029,97029641,97051810,97438709,97574921,98073749,98155251,98202753,98390681,98795410,99203849,99426019,99744521,99834521,99904984,...,3358805365030087128052814356346543238718564949935977276033829297641810579178175505284705535215646858547030408374590843453038350900796954595050706804498287859257495899168963191258363084108313058148351306672426978335616450198919733212060654254369913932874039802325924623585102510790328069376624018702012395317026466412448768431712319648585861824692023604363057275634585468082017368364661273088407864594262153722591643900774456220988532667918524829437665137674853387864436225515727324546034115947184426454888118516225882455961865804217332249449140637810213388085387332991498380232090198690631012388940031012179574784269392511132439497154716667263056503212199505666395680106127420518280288050560917748866628690846560443058959029954419140802532298440346501494791176649452717125364072963988060816878979002626923468036813401006871895033918279970817958165524832857113015267479962676959827479844820133523168711945024178951420208282905748482525794258501604718977905874005856995097087081350439972646518530510938419259409597555678102730027069670974129252314670606495894265991817083749475137685350838080474648953214213079883922572631443609753176050866847526312570679789968719775282900251110983021548083639663337504891416570851527313506780655984749960732168185088402765288031706180518827391649625254024596109907976531648011161753361687694445506269272445444385735432221002818782421118357886170802671434978409634260468306744282944849829102039984361577551271600902283260154906276535553099957519752565885097724898240763896641219164942262764369644807037079598911710855290309072007837310626110646367737478993110257534794893613908741653671804088892197599641785844447624169790144972277551708660324940311177479747819979474693978822181300193457399986428617882423587247550457104084630148521656154342932831385978937320224360372091684624667143780593857361001380042344847989449435762004013861630549378189857960016139173353848809394379544568746963791324877907771388408977841632131676498704706904423569454548186889319461747756265143943350681460649333919877485829848248332289284385379648554086966914933861740524204959108199913466734317295955704571957330216641065390346802097663760330405590235303977837751881209750070969679580980439403218696713637414274828533187636555246943625572283050815470711757427599175183751365954826254401655634743145496249361264726057834989801911528615826141855861158134391323665692950830887422340921008249258289869360218846866096263480492418418443460513748520088502641160345449658864917745745980649947636710391617438078253247191310026554979903475329490463145976677813171043822256898176403079817512409677787252342318426325754374603924042689312415250783440851171506970378720777552497431716795361397994860542487806228983500345964880087385318028223242022677170038784587303476071962552524695448182698287297957234127090469264291577652538274617748280319974919235358976649324924685718754570203473940562858842722303068537658513961153539921350662689086257552955630284815735334583008954131941983539793868181382418730450279601010438357047139938232195899619540304867639811216201313451093690323883678832258341192654257412045623372936267027386988185266222442356823701245985173434476371221683332106764167165340728045814987857732688636062498083052318749014111646628526061922878645076853484565260316721326222685529968890253938914356332838014469455496096393312709975745361515370482984525932977646141155204968357478299300124470375186689253155742188236161278261736991483067075140919731285999190624840271948441937786841769441888967323805633734534633312488805307652701663464870905520225328110045334875422014270272964049825548176390628012552247504778588525050862647006641470723931805654328515707411433987398920160461483031233506990332997611898131169244783294625420705666919365964792212403136657528838481582238321123464728920401651893104394024793043955401657790161171090453406121392017431801719434431800741867494706103866351931376153932141169981080723393294576956516618967658550049408118275527876278709901065750594692837773625511907546228336060259185165420233293826754410866975788933115419813890024909743631820936407982602944538672963976091840297546292777830383889065337681974909539758788750538491927677031424603123947865417701488386828783118048821587000490146885035214631751422298431625075596983790302144353400329637369051105712950918238770135373333853438608618499425150696185146437635445767934907791317602512827393872671585891717470321647309691414378739252346596995191876224332435327625523901419411022407981771306066780869168610152478720459566522682946604260506432575555679540628910497292939269758695619680641779886830680869955671546894155254647428027173490763199322570482419700885083082675224661557031644131729107819730802300522204875871580844700824673101371736459171470744133253072402758339522680434991250309894649}
30091  366354489851986814065367061981535699660016140703933395776583457514702893689853585307291: {30091,60178,1533621,2615133,2736461,3695781,3909230,4630934,4691076,5315133,6615620,7424573,7782173,7938744,8931087,9678998,10954745,11117390,11787832,12108941,12564662,13145694,13261311,13286078,13340868,13827140,14544665,14916461,14990421,15335621,15441245,15787275,16592568,16839760,17453598,18529494,18666639,18794375,18944730,19023965,20207712,20492054,20813165,21197981,21309230,21908030,22119581,22281518,22467261,22484132,22553250,22655438,22733676,22828758,24056800,24063933,24533693,24975798,25571076,26139581,26261078,26289636,27063900,28719173,28857869,28868160,29830934,30282830,30792704,30960381,31123481,31830740,31982776,31991861,32476680,32889773,33297245,33644573,34139861,34641792,34697273,34782749,34972973,35980623,36339396,36536265,36695438,37293933,38196888,38339972,38972016,39956694,40639768,41027390,42171245,42615620,42834075,42971499,43728941,43843518,43902398,44122421,44236214,45529721,45689680,45719739,46213221,46785182,46985390,46993508,47292653,47747501,48686981,48771230,49232868,49346301,49961390,50605494,50701253,50999741,51109358,51138744,51400890,51951261,52161592,52416581,53641181,53655315,53992142,54490013,54827616,56304388,56382468,57232336,57531087,58181133,58525476,58622501,58681791,58718462,58746701,59733741,59953668,60206078,61068761,61681068,61800861,62099972,62242814,63032030,63486713,63875375,64321973,64386378,64476555,64655573,65409509,66005789,66953541,67284662,67702265,68691053,68774992,68937701,69552830,69859275,72073565,73171694,73819565,74516560,74880830,75002489,75107213,75152901,75194669,75638436,76082093,76342973,76379919,76525241,76650450,77194101,77296973,77371866,77703861,78765341,79848473,80434840,81242718,81433828,81760480,81815438,81925181,82281981,82363301,83320181,83463396,83720852,83746430,83831130,84628958,85843349,85961261,86307254,86488278,86775736,87416861,87452054,88090301,88583478,89419872,89487533,89856996,90334745,90489195,90728558,90809741,90928475,91053374,91493115,91916741,91980540,92392941,93479321,93801629,94659245,95201236,95737915,96413133,96521808,97592656,97622703,98039561,98112576,98482430,99417494,...,4478407153373449504070419141795390984958086599914636368045105730189080772237567340379607380287529144729373877832787791270717801201062606126734275739331050479009994532225284255011150778811084077531135075563235971114155266931892977616080872339159885243832053069767899498113470014387104092502165358269349860422701955216598357908949759531447815766256031472484076367512780624109356491152881697451210486125682871630122191867699274961318043557224699772583553516899804517152581634020969766061378821262912568606517491354967843274615821072289776332598854183746951184113849777321997840309453598254174683185253374682906099712359190014843252662872955556350742004282932674221860906808169894024373717400747890331822171587795413924078612039939225521070043064587128668659721568865936956167152097285317414422505305336835897957382417868009162526711891039961090610887366443809484020356639950235946436639793093511364224949260032238601893611043874331310034392344668806291970541165341142660129449441800586630195358040681251225679212796740904136973369426227965505669752894141994525687989089444999300183580467784107299531937618950773178563430175258146337568067822463368416760906386624959700377200334814644028730778186217783339855222094468703084675707541312999947642890913451203687050708941574025103188866167005366128146543968708864014882337815583592594008359029927259180980576294670425043228157810514894403561913304546179013957742325710593133105469386645815436735028801203044346873208368714070799943359670087846796966530987685195521625553256350352492859742716106131882281140387078762677116414168147528490316638657480343379726524818544988871562405451856263466189047792596832226386859963036735611547099920414903306330426639299591971762908400257943199981904823843231449663400609472112840198028874872457243775181305249760299147162788912832889525040791809814668506723126463985932581016005351815507399170919810613354852231138465079192506059424995951721766503877028517878637122176175568664939609205898092606064249185759282330341686858591134241947532445226503314439797664443052379180506198072115955886578482320698939945477599884622312423061274272762609773622188087187129069463551680440540786980405303783669174946333427959572774640585870958262284849885699771377583515406995924834096377401087294282343236798900245001821273101672535540846324193994999148352968077113319735882038154434855807814877512521764887590601107849896454561344332344386492480291795821461684640656557891257947351664693451336854880460599545153223660994640866596848947188823250771004329588413368739973204633772653950861302237084228058429675864235204106423349879570383003123091235101005832805232056919083220334377921134895342627171627703403329908955727148530659814056650408305311333794619840116513757370964322696902893385046116404634762616736699593930910264383063942978836120625685722103536717699490331040426633225647145302199099899580958339426937965254083811790296404091383544685281538053228467550252115010070607507046420980446110678605509255978053058490908509891640600372801347251142729519917642927866159387073156853081621601751268124920431844905109677788256872343216060831163915022703182650913688296589809098268327980231245968494962244442809018889553787637394419983810310251514749997444069758332018815528838034749230504860102471312753680422295101630247373291853671918552475110450685959273994795191083613300993815353827310646034577303528188206939957809971065733499293833582252337540989584314881704348982655310756100187892975047998920833120362597922583715789025922518623098407511646046177749985073743536935551286494540693633770813393779833896019027030618733100730901854170683402996673038118033401150196008855294298575740872438020943215245316531893547281977374978009320443996815864174892326377726167227607555892487953056283204182210038451308776317761497952971893868869190805858699724058607202210386881561453937874828522689909068959245909067655823326274805155135908501538576188226641440964524392769275355491956878066732544157700703835038279868087667459590450364834015876728304448080345580220560311058435672547822634385244153893085186699879658175761248543976803926051563951968122453730061723703773845185420450242633212719678385000717989236902708566137498597153890268651182438377490731762116000653529180046952842335229731242166767462645053736192471200439516492068140950601224318360180497778471251478157999233534261580195250180594357246543721756803350436525163562114522289960428863079588552504985669795462660255834965776580436834031868559214696543975695074755707825558146869971627279422030243928805680675243434074239387505213996390585693011594159574189039849107574493274228729192207006196570702897987684265763427309892934513444110233632882076042192175638810426307736400696273167828774459601099564135162315278895294325511004096537011119363573913321667079859532}
30092  367491882391072593181538876720440450484774107661709333231384588923586285093935201817315: {90267,1142698,1863658,2044828,2371027,2584042,3088867,3268147,3486844,3663538,4741738,4927708,5863845,6057778,6254768,6304891,6416362,6838627,6946401,7036614,7086844,7194091,7849258,8269525,9756202,9850891,9923430,10314353,10351282,10584992,11908116,12140347,12491491,12608938,13320682,13557802,13718227,14268778,14518497,14734790,15334162,15464587,16161898,16676085,17283925,17527592,17681748,17787824,18243787,18846993,19700458,19718541,19929117,19987228,20011302,20053522,20316091,20740710,20759218,20832547,21049700,21816682,22123424,22168882,23271464,24088387,24705992,24864298,24888852,24981298,25259640,25791547,26180397,26617618,26809987,26943616,27084562,27317938,27794241,27984929,28105165,28367338,28417095,28839091,29066218,29764522,29956348,30017947,30071000,30113458,30311568,30438344,30738081,30810898,30927082,31025587,31963845,32085244,32862045,33247402,33301064,33422277,33726198,33829875,33866491,33983157,34094768,34100514,34243137,35030227,35052848,35559797,35792362,36024907,36085200,36369682,36851827,37463697,37512067,38006491,38099242,38356614,38444722,38490880,38905138,39391617,39434454,39649891,39788425,39978470,40008529,40595850,40629418,40795987,40959427,41203378,41280508,42101491,42589867,42693802,43302240,43609642,44051107,44067178,44410162,44746401,45022027,45424245,45641393,46122922,46189056,47277427,47746110,47924965,47974164,48059698,48239707,48452528,48715020,49083178,49359091,49725244,50078294,50218858,50474947,50799710,50929184,51466258,51579562,51962688,52854187,53164138,53269525,53275592,54509094,54632722,55043157,55535122,56001307,56323882,56470891,57112100,57295332,57509958,58458024,58741885,58910002,59584891,59919658,59935041,60178118,60959652,61541085,61617628,61711402,62046898,63130387,63743107,63923430,64965091,65201990,65393938,65643824,65765277,65795068,65853597,66354321,67284202,67473992,68184992,68283058,68534520,69268348,70177773,70257091,70380485,70478085,70490262,70608682,71050858,71540420,73103488,73156845,73538347,73588402,73849302,73918762,74689042,74722891,74908978,74942085,75176624,75897898,75908241,75928769,76664037,76708116,77101335,77224747,77574844,77624965,77664091,78033968,78200338,78242388,78528682,79644988,79938224,80988213,81300091,81733387,81804202,81913138,82130962,82241424,82401148,82454107,82741891,82892842,83545258,83620801,84197098,84456582,84573702,84848362,85065322,85390642,85393574,85715818,85848504,85968740,86365738,86740627,87307267,87447658,87448747,87731491,87788214,88077693,88096042,88420018,88635922,89271388,89842891,89930502,90309117,90543091,91006642,91866802,92521602,92618602,93145700,93149958,93364221,94226962,94548045,95519413,95668627,96353707,96365842,96480917,96579567,98526113,98711218,...,6717610730060174256105628712693086477437129899871954552067658595283621158356351010569411070431293717094060816749181686906076701801593909190101413608996575718514991798337926382516726168216626116296702613344853956671232900397839466424121308508739827865748079604651849247170205021580656138753248037404024790634052932824897536863424639297171723649384047208726114551269170936164034736729322546176815729188524307445183287801548912441977065335837049658875330275349706775728872451031454649092068231894368852909776237032451764911923731608434664498898281275620426776170774665982996760464180397381262024777880062024359149568538785022264878994309433334526113006424399011332791360212254841036560576101121835497733257381693120886117918059908838281605064596880693002989582353298905434250728145927976121633757958005253846936073626802013743790067836559941635916331049665714226030534959925353919654959689640267046337423890048357902840416565811496965051588517003209437955811748011713990194174162700879945293037061021876838518819195111356205460054139341948258504629341212991788531983634167498950275370701676160949297906428426159767845145262887219506352101733695052625141359579937439550565800502221966043096167279326675009782833141703054627013561311969499921464336370176805530576063412361037654783299250508049192219815953063296022323506723375388891012538544890888771470864442005637564842236715772341605342869956819268520936613488565889699658204079968723155102543201804566520309812553071106199915039505131770195449796481527793282438329884525528739289614074159197823421710580618144015674621252221292735474957986220515069589787227817483307343608177784395199283571688895248339580289944555103417320649880622354959495639958949387957644362600386914799972857235764847174495100914208169260297043312308685865662771957874640448720744183369249334287561187714722002760084689695978898871524008027723261098756379715920032278346707697618788759089137493927582649755815542776817955683264263352997409413808847138909096373778638923495512530287886701362921298667839754971659696496664578568770759297108173933829867723481048409918216399826933468634591911409143914660433282130780693604195327520660811180470607955675503762419500141939359161960878806437393427274828549657066375273110493887251144566101630941423514855198350367502731909652508803311269486290992498722529452115669979603823057231652283711722316268782647331385901661774844681842016498516579738720437693732192526960984836836886921027497040177005282320690899317729835491491961299895273420783234876156506494382620053109959806950658980926291953355626342087644513796352806159635024819355574504684636852651508749207848085378624830501566881702343013940757441555104994863433590722795989721084975612457967000691929760174770636056446484045354340077569174606952143925105049390896365396574595914468254180938528583155305076549235496560639949838470717953298649849371437509140406947881125717685444606137075317027922307079842701325378172515105911260569631470669166017908263883967079587736362764837460900559202020876714094279876464391799239080609735279622432402626902187380647767357664516682385308514824091246745872534054773976370532444884713647402491970346868952742443366664213528334330681456091629975715465377272124996166104637498028223293257052123845757290153706969130520633442652445371059937780507877828712665676028938910992192786625419951490723030740965969051865955292282310409936714956598600248940750373378506311484376472322556523473982966134150281839462571998381249680543896883875573683538883777934647611267469069266624977610615305403326929741811040450656220090669750844028540545928099651096352781256025104495009557177050101725294013282941447863611308657031414822867974797840320922966062467013980665995223796262338489566589250841411333838731929584424806273315057676963164476642246929457840803303786208788049586087910803315580322342180906812242784034863603438868863601483734989412207732703862752307864282339962161446786589153913033237935317100098816236551055752557419802131501189385675547251023815092456672120518370330840466587653508821733951577866230839627780049819487263641872815965205889077345927952183680595092585555660767778130675363949819079517577501076983855354062849206247895730835402976773657566236097643174000980293770070429263502844596863250151193967580604288706800659274738102211425901836477540270746667706877217236998850301392370292875270891535869815582635205025654787745343171783434940643294619382828757478504693193990383752448664870655251047802838822044815963542612133561738337220304957440919133045365893208521012865151111359081257820994585878539517391239361283559773661361739911343093788310509294856054346981526398645140964839401770166165350449323114063288263458215639461604601044409751743161689401649346202743472918342941488266506144805516679045360869982500619789298}
30093  368632785554347695091410770042464682589946042936797841864228000849557822097457093295049: {60182,120356,1714047,2556035,2795487,3067242,3638591,3876063,4358555,5230266,5472922,5495307,6159635,7112607,7391562,7604927,7818460,8687051,8858555,9086667,9261868,9382152,9624543,10554921,10630266,11773887,13231240,14634303,14813171,14849146,14885145,15336643,15526923,15564346,15877488,15894863,17506907,17862174,18913407,19357996,19981023,20336703,20362531,21403167,21617743,21909490,22102185,22234780,23001243,23438591,23575664,23993171,24217882,24242847,24984035,25129324,26141323,26291388,26312125,26522622,26572156,26633551,26681736,27654280,28317347,29089330,29138431,29550687,29832922,29980842,30016953,30080283,30671242,30882490,31111065,31138827,31574550,32725023,33185136,33253323,33679520,34785067,34907196,37058988,37296447,37333278,37445435,37471947,37588750,37808563,37889460,38047930,39926427,40106555,40415424,40626843,40724927,40976907,40984108,41626330,42395962,42551007,42618460,43599327,43816060,44239162,44563036,44646783,44934522,44968264,45106500,45170187,45310876,45467352,45657516,46126907,46216347,46390623,46616143,47750683,48113600,48127866,49067386,49871103,49951596,50448491,50589297,51142152,51150771,51600635,52279162,52522156,52579272,53688543,54127800,54554523,57148863,57438346,57534921,57667083,57715738,57736320,58357707,59039743,59151681,59661868,59967705,60565660,60893775,60944127,61585408,61805067,61920762,62156555,62246962,63394123,63661480,63965552,63983722,64040703,64953360,65414463,65779546,66100767,66594490,66615243,67289146,67865107,68279722,69184383,69283584,69394546,69565498,69945946,71390125,71619165,71961246,72089547,72262111,72678792,73072530,73390876,73428367,73624767,74342731,74587866,75117441,75328287,75805091,76199565,76393776,76679944,77022035,77199387,77302147,77369343,77944032,78661147,79746207,79913388,80984083,81279536,81763641,81949083,82054780,82243835,83302683,84342490,84485823,85231240,85668150,85942998,86264937,86266367,86381023,86585435,87457882,87687036,87804796,88244842,88365003,88472428,88866427,89242411,89425525,89879487,90267177,91059442,91379360,91439478,92426442,92567103,93070347,93570364,93970780,93987016,94585306,94783171,95495002,95659087,95885145,96009947,96968555,97373962,97542460,97802985,98090907,98465736,98692602,99556235,99922780,...,10076416095090261384158443069039629716155694849807931828101487892925431737534526515854116605646940575641091225123772530359115052702390863785152120413494863577772487697506889573775089252324939174445053920017280935006849350596759199636181962763109741798622119406977773870755307532370984208129872056106037185951079399237346305295136958945757585474076070813089171826903756404246052105093983819265223593782786461167774931702323368662965598003755574488312995413024560163593308676547181973638102347841553279364664355548677647367885597412651996748347421913430640164256161998974495140696270596071893037166820093036538724352808177533397318491464150001789169509636598516999187040318382261554840864151682753246599886072539681329176877089863257422407596895321039504484373529948358151376092218891964182450636937007880770404110440203020615685101754839912453874496574498571339045802439888030879482439534460400569506135835072536854260624848717245447577382775504814156933717622017570985291261244051319917939555591532815257778228792667034308190081209012922387756944011819487682797975451251248425413056052514241423946859642639239651767717894330829259528152600542578937712039369906159325848700753332949064644250918990012514674249712554581940520341967954249882196504555265208295864095118541556482174948875762073788329723929594944033485260085063083336518807817336333157206296663008456347263355073658512408014304935228902781404920232848834549487306119953084732653814802706849780464718829606659299872559257697655293174694722291689923657494826788293108934421111238796735132565870927216023511931878331939103212436979330772604384680841726224961015412266676592798925357533342872509370434916832655125980974820933532439243459938424081936466543900580372199959285853647270761742651371312253890445564968463028798494157936811960673081116275053874001431341781572083004140127034543968348307286012041584891648134569573880048417520061546428183138633706240891373974633723314165226933524896395029496114120713270708363644560667958385243268795431830052044381948001759632457489544744996867853156138945662260900744801585221572614877324599740400202951887867113715871990649923196171040406292991280991216770705911933513255643629250212909038742941318209656090140912242824485599562909665740830876716849152446412135272282797525551254097864478763204966904229436488748083794178173504969405734585847478425567583474403173970997078852492662267022763024747774869608080656540598288790441477255255330381541245560265507923481036348976594753237237941949842910131174852314234759741573930079664939710425988471389437930033439513131466770694529209239452537229033361757026955278977263123811772128067937245752350322553514520911136162332657492295150386084193984581627463418686950501037894640262155954084669726068031510116353761910428215887657574086344548094861893871702381271407792874732957614823853244840959924757706076929947974774057156263710610421821688576528166909205612975541883460619764051988067258772658866890854447206003749026862395825950619381604544147256191350838803031315071141419814696587698858620914602919433648603940353281070971651036496775023577962772236136870118808801082160964555798667327070471103737955520303429113665049996320292501496022184137444963573198065908187494249156956247042334939885578185768635935230560453695780950163978668056589906670761816743068998514043408366488289179938129927236084546111448953577798932938423465614905072434897900373411125560067759467226564708483834785210974449201225422759193857997571874520815845325813360525308325666901971416901203603899937466415922958104990394612716560675984330136004626266042810818892149476644529171884037656742514335765575152587941019924412171795416962985547122234301962196760481384449093700520970998992835694393507734349883876262117000758097894376637209409972586515444746714963370394186761204955679313182074379131866204973370483513271360218364176052295405158303295402225602484118311599055794128461796423509943242170179883730869549856902975650148224354826583628836129703197251784078513320876535722638685008180777555496260699881480263232600927366799346259441670074729230895462809223947808833616018891928275520892638878333491151667196013045924728619276366251615475783031094273809371843596253104465160486349354146464761001470440655105643895254266895294875226790951370906433060200988912107153317138852754716310406120001560315825855498275452088555439312906337303804723373952807538482181618014757675152410964941929074243136217757039790985575628672997305982876571704258233067223945313918200342607505830457436161378699568048839812781519297726667038621886731491878817809276086859041925339660492042609867014640682465763942284081520472289597967711447259102655249248025673984671094932395187323459192406901566614627614742534102474019304115209377514412232399759217208275018568041304973750929683947}
30094  369777210114432901815809664540056725507966041975256197540257631575337122199691342398122: {90273,150445,180534,691633,1412209,2285396,2490913,3727316,4089656,4600863,4742054,4997809,5168084,5176333,6177734,6536294,6779809,6973688,7327076,7668109,7845399,8209383,9483476,9773075,9855416,10498573,11087343,11577335,11727690,12115556,12509536,12609782,12784753,12832724,13660813,13677254,13892802,14073228,14173688,14388182,15407533,15698516,15945399,16452109,16539050,16625953,17494093,18879373,19512404,19701782,19846860,20087713,20628706,20702564,21169984,22273719,22322413,23346519,23349709,23816232,24197495,24280694,24982982,25217876,25226353,25906609,26641364,26793261,27115604,27432973,27436454,27602209,27793475,28278433,28537556,29036994,29469580,29963953,30668324,30804013,30929174,31411655,32323796,32864235,33215195,33352170,34478893,34567850,35055184,35309233,35363496,35575648,36326823,36487574,36799309,37459693,37693986,39347231,39400916,39437082,39783933,39858234,39974456,40022604,40107044,40632182,41071213,41481420,41518436,41560993,41665094,42099400,42538609,43513633,43633364,43633995,44246848,44324173,44337764,44749383,44971263,45617293,46006863,46323735,46542928,47282807,47361825,48176774,49411984,49728596,49777704,49962596,50519280,50584609,51220513,51230135,51583094,52360794,53235236,53273075,53619974,53887232,53910253,54169124,54382753,54635876,54770075,55588482,55703795,55969858,55999917,56109709,56210330,56383125,56638595,56734676,56834190,57071895,57678182,57827953,58132436,59072113,59529044,59847373,59912696,60035894,60142000,60156973,60226916,60623136,60876688,61476162,61621796,61854164,62051174,62439495,62469793,63083809,63593943,63927690,64170488,65223793,65376109,65652695,65724090,66288493,66358743,66494804,66602128,66844554,67094951,67401783,67452396,67500973,67652209,67659750,67732982,67966314,68189536,68201028,68407309,68486274,70060454,70062193,70105696,71119594,71584724,72049814,72170400,72191799,72739364,72900109,73048753,73601079,73642609,73703654,74577335,74927394,75024134,75707075,76012982,76198484,76713228,76889444,76981760,77810276,78418743,78783234,78789709,78868908,78935473,79299782,79576850,79956940,80017058,81191700,81258836,81591974,81918854,82238639,82406756,82561016,83274913,84202982,85179734,85277809,85387604,85847473,86131873,86157519,86573607,86604480,87219284,88102214,88134356,88820324,89492802,90044054,90083233,90848490,90922609,91062253,91282786,91738595,92176813,92245844,92315809,92378112,92881143,93370443,93840013,94554854,94943053,95218093,95492220,95849930,95948328,95975583,96119396,96479414,96905056,96998833,97135309,97430040,97680493,98166356,98532679,98669319,98718182,98824583,99450488,99849709,99891735,...,13435221460120348512211257425386172954874259799743909104135317190567242316712702021138822140862587434188121633498363373812153403603187818380202827217993151437029983596675852765033452336433252232593405226689707913342465800795678932848242617017479655731496159209303698494340410043161312277506496074808049581268105865649795073726849278594343447298768094417452229102538341872328069473458645092353631458377048614890366575603097824883954130671674099317750660550699413551457744902062909298184136463788737705819552474064903529823847463216869328997796562551240853552341549331965993520928360794762524049555760124048718299137077570044529757988618866669052226012848798022665582720424509682073121152202243670995466514763386241772235836119817676563210129193761386005979164706597810868501456291855952243267515916010507693872147253604027487580135673119883271832662099331428452061069919850707839309919379280534092674847780096715805680833131622993930103177034006418875911623496023427980388348325401759890586074122043753677037638390222712410920108278683896517009258682425983577063967268334997900550741403352321898595812856852319535690290525774439012704203467390105250282719159874879101131601004443932086192334558653350019565666283406109254027122623938999842928672740353611061152126824722075309566598501016098384439631906126592044647013446750777782025077089781777542941728884011275129684473431544683210685739913638537041873226977131779399316408159937446310205086403609133040619625106142212399830079010263540390899592963055586564876659769051057478579228148318395646843421161236288031349242504442585470949915972441030139179574455634966614687216355568790398567143377790496679160579889110206834641299761244709918991279917898775915288725200773829599945714471529694348990201828416338520594086624617371731325543915749280897441488366738498668575122375429444005520169379391957797743048016055446522197512759431840064556693415395237577518178274987855165299511631085553635911366528526705994818827617694277818192747557277846991025060575773402725842597335679509943319392993329157137541518594216347867659735446962096819836432799653866937269183822818287829320866564261561387208390655041321622360941215911351007524839000283878718323921757612874786854549657099314132750546220987774502289132203261882847029710396700735005463819305017606622538972581984997445058904231339959207646114463304567423444632537565294662771803323549689363684032997033159477440875387464385053921969673673773842054994080354010564641381798635459670982983922599790546841566469752313012988765240106219919613901317961852583906711252684175289027592705612319270049638711149009369273705303017498415696170757249661003133763404686027881514883110209989726867181445591979442169951224915934001383859520349541272112892968090708680155138349213904287850210098781792730793149191828936508361877057166310610153098470993121279899676941435906597299698742875018280813895762251435370889212274150634055844614159685402650756345030211822521139262941338332035816527767934159175472725529674921801118404041753428188559752928783598478161219470559244864805253804374761295534715329033364770617029648182493491745068109547952741064889769427294804983940693737905484886733328427056668661362912183259951430930754544249992332209274996056446586514104247691514580307413938261041266885304890742119875561015755657425331352057877821984385573250839902981446061481931938103731910584564620819873429913197200497881500746757012622968752944645113046947965932268300563678925143996762499361087793767751147367077767555869295222534938138533249955221230610806653859483622080901312440181339501688057081091856199302192705562512050208990019114354100203450588026565882895727222617314062829645735949595680641845932124934027961331990447592524676979133178501682822667677463859168849612546630115353926328953284493858915681606607572417576099172175821606631160644684361813624485568069727206877737727202967469978824415465407725504615728564679924322893573178307826066475870634200197632473102111505114839604263002378771351094502047630184913344241036740661680933175307017643467903155732461679255560099638974527283745631930411778154691855904367361190185171111321535556261350727899638159035155002153967710708125698412495791461670805953547315132472195286348001960587540140858527005689193726500302387935161208577413601318549476204422851803672955080541493335413754434473997700602784740585750541783071739631165270410051309575490686343566869881286589238765657514957009386387980767504897329741310502095605677644089631927085224267123476674440609914881838266090731786417042025730302222718162515641989171757079034782478722567119547322723479822686187576621018589712108693963052797290281929678803540332330700898646228126576526916431278923209202088819503486323378803298692405486945836685882976533012289611033358090721739965001239578596}
30095  370925166876812925319990577281256033844258521286885943884489031597685100231589925423667: {120364,240712,270801,2856745,3428094,3578449,4300153,4659145,5112070,5590974,6101977,6134484,6460105,7113081,7277182,7752126,8623489,8717110,8987641,9158845,9266601,9709057,9804441,10460532,10945844,10990614,11854345,12229129,12319270,12401977,14225214,14783124,15144445,15209854,15636920,15834769,16040905,16555897,17374102,17591535,17717110,18173334,18523736,18764304,18914673,19249086,19623145,20515881,20689981,20839203,21109842,21260532,21582273,23440153,23547774,24098833,24390505,24808575,25878205,26462480,26815897,27700153,29268606,29552673,29626342,29698292,29698681,29770290,30673286,30943059,31053846,31128692,31522345,31754976,31789726,32221117,33301705,33311113,33894505,34182529,34977649,35013814,35671945,35724348,36421041,36836975,37474473,37826814,38335405,38715992,39962046,40404745,40673406,40725062,40727641,41154681,42105433,42806334,43235486,43555491,43818980,44204370,44469560,45130129,45373357,46002486,46129981,46393761,46877182,47151328,47986342,48435764,48485694,49251145,49308073,49968070,50028255,50133805,50258648,50451853,51683929,51851775,51898045,52189129,52282646,52423609,52582776,52624250,52909393,53045244,53144312,53267102,53363472,53648353,54541705,54731361,54957529,55308560,55422205,56149177,56540979,56634694,57249001,58178660,58276862,59101374,59155623,59665844,59787351,59961684,60033906,60160566,60948273,61342484,61375201,61764980,62160745,62222130,62277654,62453245,62497641,63149100,65450046,66370272,66506646,66544045,66691969,67359040,67711405,68294845,69335233,69570134,69814392,70918345,72169081,72240889,72265161,72665545,74117976,74411305,74592894,74666556,74890870,74943894,75177500,75283645,75617126,75778920,76095860,76508113,76822609,77027245,77317705,77374641,77863441,78541191,79852854,79859149,80213110,80429961,80830848,81253686,81449854,81953814,81968216,82368913,83118505,83159497,83252660,83382723,83954787,84239101,84315495,84723337,84791924,85102014,85236920,85251285,86517273,87019177,87198654,87280513,87632120,88478324,89126072,89293566,89480905,89869044,89936528,90053841,90213000,90340374,90621752,90924205,90934704,91315032,92121073,92214243,92253814,92432694,92781246,92962777,93076761,93232286,93756841,95248105,95501366,95891535,96111805,96227200,96255732,97262845,98134772,98586135,99742206,99903192,99946175,...,20152832190180522768316886138079259432311389699615863656202975785850863475069053031708233211293881151282182450247545060718230105404781727570304240826989727155544975395013779147550178504649878348890107840034561870013698701193518399272363925526219483597244238813955547741510615064741968416259744112212074371902158798474692610590273917891515170948152141626178343653807512808492104210187967638530447187565572922335549863404646737325931196007511148976625990826049120327186617353094363947276204695683106558729328711097355294735771194825303993496694843826861280328512323997948990281392541192143786074333640186073077448705616355066794636982928300003578339019273197033998374080636764523109681728303365506493199772145079362658353754179726514844815193790642079008968747059896716302752184437783928364901273874015761540808220880406041231370203509679824907748993148997142678091604879776061758964879068920801139012271670145073708521249697434490895154765551009628313867435244035141970582522488102639835879111183065630515556457585334068616380162418025844775513888023638975365595950902502496850826112105028482847893719285278479303535435788661658519056305201085157875424078739812318651697401506665898129288501837980025029348499425109163881040683935908499764393009110530416591728190237083112964349897751524147576659447859189888066970520170126166673037615634672666314412593326016912694526710147317024816028609870457805562809840465697669098974612239906169465307629605413699560929437659213318599745118515395310586349389444583379847314989653576586217868842222477593470265131741854432047023863756663878206424873958661545208769361683452449922030824533353185597850715066685745018740869833665310251961949641867064878486919876848163872933087801160744399918571707294541523485302742624507780891129936926057596988315873623921346162232550107748002862683563144166008280254069087936696614572024083169783296269139147760096835040123092856366277267412481782747949267446628330453867049792790058992228241426541416727289121335916770486537590863660104088763896003519264914979089489993735706312277891324521801489603170443145229754649199480800405903775734227431743981299846392342080812585982561982433541411823867026511287258500425818077485882636419312180281824485648971199125819331481661753433698304892824270544565595051102508195728957526409933808458872977496167588356347009938811469171694956851135166948806347941994157704985324534045526049495549739216161313081196577580882954510510660763082491120531015846962072697953189506474475883899685820262349704628469519483147860159329879420851976942778875860066879026262933541389058418478905074458066723514053910557954526247623544256135874491504700645107029041822272324665314984590300772168387969163254926837373901002075789280524311908169339452136063020232707523820856431775315148172689096189723787743404762542815585749465915229647706489681919849515412153859895949548114312527421220843643377153056333818411225951083766921239528103976134517545317733781708894412007498053724791651901238763209088294512382701677606062630142282839629393175397717241829205838867297207880706562141943302072993550047155925544472273740237617602164321929111597334654140942207475911040606858227330099992640585002992044368274889927146396131816374988498313912494084669879771156371537271870461120907391561900327957336113179813341523633486137997028086816732976578359876259854472169092222897907155597865876846931229810144869795800746822251120135518934453129416967669570421948898402450845518387715995143749041631690651626721050616651333803942833802407207799874932831845916209980789225433121351968660272009252532085621637784298953289058343768075313485028671531150305175882039848824343590833925971094244468603924393520962768898187401041941997985671388787015468699767752524234001516195788753274418819945173030889493429926740788373522409911358626364148758263732409946740967026542720436728352104590810316606590804451204968236623198111588256923592847019886484340359767461739099713805951300296448709653167257672259406394503568157026641753071445277370016361555110992521399762960526465201854733598692518883340149458461790925618447895617667232037783856551041785277756666982303334392026091849457238552732503230951566062188547618743687192506208930320972698708292929522002940881310211287790508533790589750453581902741812866120401977824214306634277705509432620812240003120631651710996550904177110878625812674607609446747905615076964363236029515350304821929883858148486272435514079581971151257345994611965753143408516466134447890627836400685215011660914872322757399136097679625563038595453334077243773462983757635618552173718083850679320984085219734029281364931527884568163040944579195935422894518205310498496051347969342189864790374646918384813803133229255229485068204948038608230418755028824464799518434416550037136082609947501859367894}
30096  372076666679936080348996029088978104152420554958831163109037935793533725690891317399948: {150455,180546,210623,300890,361068,1112183,1383266,2011943,2491079,2824418,3208823,3388079,4104383,4462103,4570792,4981826,5142141,5355143,6661679,6839543,6958079,7454632,7668105,7846079,8179312,8259863,8386461,8732279,9145223,9201726,9484108,9995618,10028783,10336168,10352666,10915773,11086679,11262743,11628189,12355468,12844079,13072588,13075665,13559618,13682305,13720079,13836743,13947376,14654152,15059783,15336218,15466679,15690798,16208269,16418766,16485921,16800863,18073079,18478905,18938279,18966952,19226279,19398983,19546150,19710832,19801679,20835383,20997146,21337821,21523079,22174686,22209623,22552463,22814781,23154670,23455380,23693183,24205463,24231112,24944279,25019072,25219564,25569506,25665448,25908383,26061153,26575665,27096143,27260001,27321626,27354508,27785604,28146456,28167743,28347376,28776364,28873629,29629463,30022079,30815066,30862079,31029863,31397032,31532783,31664763,31890798,32369543,32904218,33078100,33251906,33649079,33876493,34314983,34988186,35145743,35321661,35477543,35698583,36305783,36856943,36967079,37122865,37132223,37517279,37627223,37758746,38910865,39024808,39272543,39403564,39436679,39693720,40147103,40175426,40419983,40910663,41074079,41237423,41257412,41405128,41455103,41618279,42339968,42595823,42704279,42866903,43516679,43902909,43976317,44219303,44439513,44489183,44547438,44644826,44655435,45028343,45136079,45512903,46009929,46104263,46501273,46580769,46693038,46699418,47123423,47284079,47391143,47632464,47684589,48086279,48394990,48513383,48561388,49525703,49965964,50322863,50435752,50452706,50588183,50641223,51813218,52520721,52703543,52967063,53282728,53586522,53914079,54231208,54439079,54773725,54865946,54872908,55204418,55486679,55586950,55852583,55879681,56113703,56165903,56556866,56740221,56895863,57075112,57208223,57987863,58073988,58765703,58939160,59128079,59541743,59903279,59927906,59943069,60161279,60544705,60831143,61010109,61087593,61336648,61448279,61608026,61705079,61858348,62823310,63139463,63241679,63599183,63752279,63854303,64209501,64647592,64771079,64853229,65126903,65380823,65728470,66306555,66430390,66445103,66704340,67051679,68957786,69003729,69135700,70110368,70315773,70417223,70618466,70726992,71151296,71713583,71722189,71912543,71979513,72653646,72657503,72723325,72728541,72954983,72975148,73598618,73647983,73697423,73944503,74582305,74684543,74919386,74952105,75387972,75619343,76355303,76678105,76893863,77206225,77333783,77480279,77821823,77985313,78423969,78694462,78801832,78874164,78936375,79281143,79294033,79567866,79716468,79900653,79948912,80045208,80153279,80214088,80540063,81264364,81745463,81841679,82142426,82178183,82962840,83036872,83121986,83185343,83330188,83902583,84198800,84570383,84952041,85077218,85331663,86138279,86469743,87027266,87266728,87267990,87414623,87415293,88493696,88648346,88652061,88675528,88732079,88872863,89498766,89809583,89942526,90050859,90136679,90240849,91069079,91234586,91905503,91913773,92013726,92230079,92369063,92647470,93062903,93085856,93333195,93416481,93971875,93985223,94399223,94565614,94723650,94996079,95119825,95545823,95774543,96231383,96353548,96732983,97051679,97597103,97869383,98175069,98548823,98823968,99451943,99457192,99555408,99759969,99925192,99992279,...,30229248285270784152475329207118889148467084549423795484304463678776295212603579547562349816940821726923273675371317591077345158107172591355456361240484590733317463092520668721325267756974817523335161760051842805020548051790277598908545888289329225395866358220933321612265922597112952624389616168318111557853238197712038915885410876837272756422228212439267515480711269212738156315281951457795670781348359383503324795106970105988896794011266723464938986239073680490779926029641545920914307043524659838093993066646032942103656792237955990245042265740291920492768485996923485422088811788215679111500460279109616173058424532600191955474392450005367508528909795550997561120955146784664522592455048259739799658217619043987530631269589772267222790685963118513453120589845074454128276656675892547351910811023642311212331320609061847055305264519737361623489723495714017137407319664092638447318603381201708518407505217610562781874546151736342732148326514442470801152866052712955873783732153959753818666774598445773334686378001102924570243627038767163270832035458463048393926353753745276239168157542724271840578927917718955303153682992487778584457801627736813136118109718477977546102259998847193932752756970037544022749137663745821561025903862749646589513665795624887592285355624669446524846627286221364989171788784832100455780255189250009556423452008999471618889989025369041790065220975537224042914805686708344214760698546503648461918359859254197961444408120549341394156488819977899617677773092965879524084166875069770972484480364879326803263333716390205397697612781648070535795634995817309637310937992317813154042525178674883046236800029778396776072600028617528111304750497965377942924462800597317730379815272245809399631701741116599877857560941812285227954113936761671336694905389086395482473810435882019243348825161622004294025344716249012420381103631905044921858036124754674944403708721640145252560184639284549415901118722674121923901169942495680800574689185088488342362139812125090933682003875155729806386295490156133145844005278897372468634234990603559468416836986782702234404755664717844631973799221200608855663601341147615971949769588513121218878973842973650312117735800539766930887750638727116228823954628968270422736728473456798688728997222492630150547457339236405816848392576653762293593436289614900712688309466244251382534520514908217203757542435276702750423209521912991236557477986801068289074243324608824241969621794866371324431765765991144623736680796523770443109046929784259711713825849528730393524556942704279224721790238994819131277965414168313790100318539394400312083587627718357611687100085271080865836931789371435316384203811737257050967660543562733408486997972476885451158252581953744882390256060851503113683920786467862254009178204094530349061285731284647662972722259033644284585681615107143814223378624198872844471559734522879774273118230789843924322171468791131831265465065729584500727616838926625650381859292155964201776317976600672563341618011247080587187477851858144813632441768574052516409093945213424259444089763096575862743808758300945811821059843212914953109490325070733888316708410610356426403246482893667396001981211413311213866560910287340995149988960877504488066552412334890719594197724562482747470868741127004819656734557305907805691681361087342850491936004169769720012285450229206995542130225099464867539814389781708253638334346860733396798815270396844715217304693701120233376680203278401679694125451504355632923347603676268277581573992715623562447535977440081575924977000705914250703610811699812399247768874314971183838149682027952990408013878798128432456676448429933587515652112970227543007296725457763823059773236515386250888956641366702905886590281444153347281101562912996978507083180523203049651628786351002274293683129911628229917759546334240144890111182560283614867037939546223137395598614920111450539814080655092528156886215474909886206676807452354934797167382385385389270529829726510539651192608649570708926950444673064479750886508389109591755352235539962629607167916055024542332666488782099644440789697802782100398038778325010224187692686388427671843426500848056675784826562677916635000473455001588039137774185857829098754846427349093282821428115530788759313395481459048062439394283004411321965316931685762800685884625680372854112719299180602966736321459951416558264148931218360004680947477566494826356265666317938719011911414170121858422615446544854044273025457232894825787222729408653271119372956726886018991917948629715112774699201671835941754601027822517491372308484136098704146519438344557893180001115865660194475636453427828260577125776018981476127829601043922047397291826852244561416868793903134341777307965747744077021954013284797185561970377577220704699843882844227602307422057912345628132543236697199277651624825055704123914921252789051841}
30097  373231720395314257795549692716219666648333548669531162616582285493172750996523478858767: {30097,240728,270819,451335,481424,541602,2074899,3999443,4236627,5081999,5713490,6522803,6856188,7156898,7472739,8600306,9044147,9318290,10224140,10851299,11181948,11855135,12203954,12268968,12822383,12920210,13802589,14226162,14452607,14554364,14993427,15444335,15504252,15528999,16340735,16596083,17246978,17434220,17697683,17975282,18317690,18533202,19418114,19608882,20339427,20921064,21202223,21891688,21981228,22457267,23004327,23536197,23708690,24100439,24458258,24628149,24638540,24803954,27472403,27701999,28450428,28480439,29319225,29566248,30288890,30419708,31273840,31495719,31524455,31669538,31998263,32081810,33111794,33262029,33970739,34146707,34184807,34193135,34443263,34732005,34748204,35183070,35434220,35970455,36229487,36346668,37047472,37528608,37829346,38204003,38354259,38498172,39246290,39367679,40982439,41031762,41347625,41379962,41678406,41852723,42108239,42219684,42521064,43164546,44131283,45788963,46222599,46622387,46880306,47095548,47452307,47836197,48197666,48781010,49254455,49311359,49356327,49441967,49617150,49877859,49940723,50711399,51571765,51756410,52192607,52482279,52912919,52924960,53335607,53631794,53669567,55400306,55490339,56566643,56638119,58537212,59105346,59252684,59396584,59397362,59540580,60263139,60701735,61081007,61346572,61886118,62107692,62257384,62457455,63044690,63402599,63509952,63579452,64442234,64949807,66603410,66622226,66821157,66967239,67789010,68365058,68591135,68704799,68951603,69955298,70027628,70039557,70049127,70187327,71343890,71448696,72592485,72657263,72842082,73253939,73673950,74538083,74948946,75653628,75679059,76358387,76670810,77146259,77322935,77431984,77591087,77719827,78781103,79924092,80379783,80809490,81346812,81450124,81455282,81941639,82298919,82309362,82379783,82806627,82900007,83380425,84210866,84835299,85612668,85860563,85978463,86419625,86470972,87025043,87110982,87434543,87475187,87637960,88408740,88939120,89254343,89739119,89891859,90260258,90418679,90746714,91218935,91538099,92004972,92259962,92412039,92776739,92787522,93161663,93754364,94234965,94302656,94416467,94700399,94795967,95612783,95972684,96871528,96935039,96971388,97345079,98502290,98592705,98616146,99285683,99374003,99645585,99936140,...,40305664380361045536633772276158518864622779399231727312405951571701726950138106063416466422587762302564364900495090121436460210809563455140608481653979454311089950790027558295100357009299756697780215680069123740027397402387036798544727851052438967194488477627911095483021230129483936832519488224424148743804317596949385221180547835783030341896304283252356687307615025616984208420375935277060894375131145844671099726809293474651862392015022297953251981652098240654373234706188727894552409391366213117458657422194710589471542389650607986993389687653722560657024647995897980562785082384287572148667280372146154897411232710133589273965856600007156678038546394067996748161273529046219363456606731012986399544290158725316707508359453029689630387581284158017937494119793432605504368875567856729802547748031523081616441760812082462740407019359649815497986297994285356183209759552123517929758137841602278024543340290147417042499394868981790309531102019256627734870488070283941165044976205279671758222366131261031112915170668137232760324836051689551027776047277950731191901805004993701652224210056965695787438570556958607070871577323317038112610402170315750848157479624637303394803013331796258577003675960050058696998850218327762081367871816999528786018221060833183456380474166225928699795503048295153318895718379776133941040340252333346075231269345332628825186652033825389053420294634049632057219740915611125619680931395338197949224479812338930615259210827399121858875318426637199490237030790621172698778889166759694629979307153172435737684444955186940530263483708864094047727513327756412849747917323090417538723366904899844061649066706371195701430133371490037481739667330620503923899283734129756973839753696327745866175602321488799837143414589083046970605485249015561782259873852115193976631747247842692324465100215496005725367126288332016560508138175873393229144048166339566592538278295520193670080246185712732554534824963565495898534893256660907734099585580117984456482853082833454578242671833540973075181727320208177527792007038529829958178979987471412624555782649043602979206340886290459509298398961600811807551468454863487962599692784684161625171965123964867082823647734053022574517000851636154971765272838624360563648971297942398251638662963323506867396609785648541089131190102205016391457915052819867616917745954992335176712694019877622938343389913702270333897612695883988315409970649068091052098991099478432322626162393155161765909021021321526164982241062031693924145395906379012948951767799371640524699409256939038966295720318659758841703953885557751720133758052525867082778116836957810148916133447028107821115909052495247088512271748983009401290214058083644544649330629969180601544336775938326509853674747802004151578561048623816338678904272126040465415047641712863550630296345378192379447575486809525085631171498931830459295412979363839699030824307719791899096228625054842441687286754306112667636822451902167533842479056207952269035090635467563417788824014996107449583303802477526418176589024765403355212125260284565679258786350795434483658411677734594415761413124283886604145987100094311851088944547480475235204328643858223194669308281884414951822081213716454660199985281170005984088736549779854292792263632749976996627824988169339759542312743074543740922241814783123800655914672226359626683047266972275994056173633465953156719752519708944338184445795814311195731753693862459620289739591601493644502240271037868906258833935339140843897796804901691036775431990287498083263381303253442101233302667607885667604814415599749865663691832419961578450866242703937320544018505064171243275568597906578116687536150626970057343062300610351764079697648687181667851942188488937207848787041925537796374802083883995971342777574030937399535505048468003032391577506548837639890346061778986859853481576747044819822717252728297516527464819893481934053085440873456704209181620633213181608902409936473246396223176513847185694039772968680719534923478199427611902600592897419306334515344518812789007136314053283506142890554740032723110221985042799525921052930403709467197385037766680298916923581851236895791235334464075567713102083570555513333964606668784052183698914477105465006461903132124377095237487374385012417860641945397416585859044005881762620422575581017067581179500907163805483625732240803955648428613268555411018865241624480006241263303421993101808354221757251625349215218893495811230153928726472059030700609643859767716296972544871028159163942302514691989223931506286817032932268895781255672801370430023321829744645514798272195359251126077190906668154487546925967515271237104347436167701358641968170439468058562729863055769136326081889158391870845789036410620996992102695938684379729580749293836769627606266458510458970136409896077216460837510057648929599036868833100074272165219895003718735788}
30098  374390338927623199501353572365803306225224298119643959880949033758426220535612388162260: {210637,300910,361092,421246,601780,722136,812403,2224366,2766532,3268801,4023886,4164301,4521997,4982158,5414977,5648836,6417646,6776158,8208766,8570235,8924206,9141584,9963652,10029457,10284282,10710286,10735347,12780175,12900459,13323358,13545937,13679086,13916158,13977435,14420557,14769901,14909264,15336210,15692158,16358624,16519726,16772922,16859917,17464558,18192955,18290446,18305931,18403452,18968216,19155227,19380315,19457857,19991236,20057566,20672336,20705332,20836801,21339243,21792775,21831546,22039597,22173358,22525486,23067757,23256378,23751757,24264001,24710936,25626817,25688158,25870467,26145176,26151330,26476237,26815501,26962923,27119236,27364610,27440158,27476535,27673486,27799803,27894752,28169677,29013697,29127171,29308304,29413323,29687617,30119566,30192301,30672436,30798175,30933358,31381596,32416538,32837532,32971842,33601726,33873517,35535277,35563035,36146158,36687387,36957810,37189837,37205931,37876558,37933904,38024635,38179117,38452558,38797966,39092300,39421664,39603358,40968001,41670766,41994292,42110317,42675642,43046158,43435255,44222401,44292775,44349372,44419246,45104926,45433335,45629562,46161217,46309340,46910760,47386366,47448001,47504307,48122715,48410926,48462224,49529197,49667691,49888558,50038144,50439128,50644801,50962897,51139012,51330896,51816766,51972011,52122306,52774605,53023501,53151330,54192286,54475211,54520002,54643252,54709016,55571208,55856557,56169901,56292912,56335486,56482957,56639377,56694752,56744019,56952001,57552728,57747258,58869435,59258926,59597677,59752657,60044158,60835501,61547643,61630132,61724158,61831363,62059726,62069943,62517609,62683597,62794064,63065566,63329526,63450577,63781596,64739086,64746819,65131597,65808436,66039623,66156200,66503812,67298158,67752986,68165677,68629966,69976372,70291486,70320459,70422337,70643322,70955086,71397166,71917777,72296499,72611566,73171515,73257517,73702801,73713886,73934158,74065855,74245730,74264446,74425725,74739277,75034558,75254446,75517492,76683215,77634615,77821730,77827537,78049616,78545086,78558157,78807128,78873358,79387440,79474315,80294206,80350852,80447691,80594317,80839966,81821326,82148158,82184257,82474846,82514824,82810256,82904077,82910206,83100459,83236558,84679936,84762587,85191646,85408558,85733806,86476177,87033358,87468301,87534535,87805818,87952634,88438606,88658019,88879026,88978366,89094876,89096043,89289652,89310870,89863057,90056686,90272158,91025806,92019858,92097937,92208526,92829177,93002546,93161538,93386076,93398836,94038337,94246846,94452301,94567035,94568158,94782286,95264928,95369178,96172558,96663351,96789980,97026766,97122776,97468237,98284717,99051406,99905115,99931928,99933339,...,60458496570541568304950658414237778296934169098847590968608927357552590425207159095124699633881643453846547350742635182154690316214345182710912722480969181466634926185041337442650535513949635046670323520103685610041096103580555197817091776578658450791732716441866643224531845194225905248779232336636223115706476395424077831770821753674545512844456424878535030961422538425476312630563902915591341562696718767006649590213940211977793588022533446929877972478147360981559852059283091841828614087049319676187986133292065884207313584475911980490084531480583840985536971993846970844177623576431358223000920558219232346116849065200383910948784900010735017057819591101995122241910293569329045184910096519479599316435238087975061262539179544534445581371926237026906241179690148908256553313351785094703821622047284622424662641218123694110610529039474723246979446991428034274814639328185276894637206762403417036815010435221125563749092303472685464296653028884941602305732105425911747567464307919507637333549196891546669372756002205849140487254077534326541664070916926096787852707507490552478336315085448543681157855835437910606307365984975557168915603255473626272236219436955955092204519997694387865505513940075088045498275327491643122051807725499293179027331591249775184570711249338893049693254572442729978343577569664200911560510378500019112846904017998943237779978050738083580130441951074448085829611373416688429521397093007296923836719718508395922888816241098682788312977639955799235355546185931759048168333750139541944968960729758653606526667432780410795395225563296141071591269991634619274621875984635626308085050357349766092473600059556793552145200057235056222609500995930755885848925601194635460759630544491618799263403482233199755715121883624570455908227873523342673389810778172790964947620871764038486697650323244008588050689432498024840762207263810089843716072249509349888807417443280290505120369278569098831802237445348243847802339884991361601149378370176976684724279624250181867364007750311459612772590980312266291688010557794744937268469981207118936833673973565404468809511329435689263947598442401217711327202682295231943899539177026242437757947685947300624235471601079533861775501277454232457647909257936540845473456946913597377457994444985260301094914678472811633696785153307524587186872579229801425376618932488502765069041029816434407515084870553405500846419043825982473114955973602136578148486649217648483939243589732742648863531531982289247473361593047540886218093859568519423427651699057460787049113885408558449443580477989638262555930828336627580200637078788800624167175255436715223374200170542161731673863578742870632768407623474514101935321087125466816973995944953770902316505163907489764780512121703006227367841572935724508018356408189060698122571462569295325945444518067288569171363230214287628446757248397745688943119469045759548546236461579687848644342937582263662530930131459169001455233677853251300763718584311928403552635953201345126683236022494161174374955703716289627264883537148105032818187890426848518888179526193151725487617516601891623642119686425829906218980650141467776633416821220712852806492965787334792003962422826622427733121820574681990299977921755008976133104824669781439188395449124965494941737482254009639313469114611815611383362722174685700983872008339539440024570900458413991084260450198929735079628779563416507276668693721466793597630540793689430434609387402240466753360406556803359388250903008711265846695207352536555163147985431247124895071954880163151849954001411828501407221623399624798495537748629942367676299364055905980816027757596256864913352896859867175031304225940455086014593450915527646119546473030772501777913282733405811773180562888306694562203125825993957014166361046406099303257572702004548587366259823256459835519092668480289780222365120567229734075879092446274791197229840222901079628161310185056313772430949819772413353614904709869594334764770770778541059659453021079302385217299141417853900889346128959501773016778219183510704471079925259214335832110049084665332977564199288881579395605564200796077556650020448375385372776855343686853001696113351569653125355833270000946910003176078275548371715658197509692854698186565642856231061577518626790962918096124878788566008822643930633863371525601371769251360745708225438598361205933472642919902833116528297862436720009361894955132989652712531332635877438023822828340243716845230893089708088546050914465789651574445458817306542238745913453772037983835897259430225549398403343671883509202055645034982744616968272197408293038876689115786360002231731320388951272906855656521154251552037962952255659202087844094794583653704489122833737587806268683554615931495488154043908026569594371123940755154441409399687765688455204614844115824691256265086473394398555303249650111408247829842505578103682}
30099  375552533214803075395342646656594233149204497360997268109266134615606484306728040634037: {60194,451365,481456,541638,631869,752225,902670,962848,1083204,3336549,3458165,4149798,5623277,6035829,7061045,7473237,7998886,8473254,9588821,9626469,10163998,10164237,11426980,11753069,12313149,12454565,13045606,13386309,13551197,13712376,14313796,14945478,15426423,16065429,16597189,17200612,18088294,18636580,19488821,19985037,20041349,20448280,20518629,20874237,21622069,21702598,22363896,22877029,23004315,23538237,23710270,24407908,24537936,24779589,24989045,25159383,25644766,25840420,25881665,26196837,27056129,27435669,27605178,28452324,28482337,28905214,29108728,29986854,30086349,30888670,31008504,31057998,32461349,32681470,32747319,33192166,33260037,33788229,33899045,34493956,34868440,34884567,35395366,35704481,35950564,36223277,36635380,37066404,37816129,38206549,38340545,38532237,38836228,39217764,39226995,40147237,40678854,41046915,41160237,41510229,41842128,42404446,43783376,43962456,44134237,44914534,45179349,46008654,46400037,47072394,47417380,47870389,48200878,48624807,48865375,48916516,49256298,49277080,49457763,49462309,49607908,50358637,50402589,51348821,52492865,54114229,54219237,54944806,54964877,55258669,55403998,55436715,55494037,56814837,56900856,56960878,57678837,57831197,57886675,58196949,58638450,59132496,59405037,60577780,60839416,62506149,62547680,62991438,63048910,63339076,63923765,63996526,64013463,64163620,64569237,66223588,66524058,66628869,67657389,67941478,68293414,68304065,68369614,68386270,68444343,68886526,68956237,69464010,69496408,70366140,70868440,71079549,71940910,72200471,72458974,72616389,72693336,73443061,74094944,74832837,75057216,75658692,76408006,76708518,76996344,77037665,77725149,78183459,78492580,78735358,79726995,81000289,81288429,81780003,81964878,82063524,82260545,82379957,82695250,82759924,83129765,83356812,83705446,84216478,84439368,84503229,84982429,85042128,86329092,86398309,86572837,86620887,87440437,87470465,87640309,88234421,88262566,88888389,90066237,91577926,92445198,92586237,92652949,93089589,93244774,93760612,94116637,94191096,94396865,94598349,94904614,94994289,95672394,96027589,96395332,97108629,97562020,98508910,98622718,98712654,98883934,99234300,99755718,99881446,...,90687744855812352457425987621356667445401253648271386452913391036328885637810738642687049450822465180769821026113952773232035474321517774066369083721453772199952389277562006163975803270924452570005485280155528415061644155370832796725637664867987676187599074662799964836797767791338857873168848504954334673559714593136116747656232630511818269266684637317802546442133807638214468945845854373387012344045078150509974385320910317966690382033800170394816958717221041472339778088924637762742921130573979514281979199938098826310970376713867970735126797220875761478305457990770456266266435364647037334501380837328848519175273597800575866423177350016102525586729386652992683362865440353993567777365144779219398974652857131962591893808769316801668372057889355540359361769535223362384829970027677642055732433070926933636993961827185541165915793559212084870469170487142051412221958992277915341955810143605125555222515652831688345623638455209028196444979543327412403458598158138867621351196461879261456000323795337320004059134003308773710730881116301489812496106375389145181779061261235828717504472628172815521736783753156865909461048977463335753373404883210439408354329155433932638306779996541581798258270910112632068247412991237464683077711588248939768540997386874662776856066874008339574539881858664094967515366354496301367340765567750028669270356026998414856669967076107125370195662926611672128744417060125032644282095639510945385755079577762593884333224361648024182469466459933698853033319278897638572252500625209312917453441094637980409790001149170616193092838344944211607386904987451928911932813976953439462127575536024649138710400089335190328217800085852584333914251493896133828773388401791953191139445816737428198895105223349799633572682825436855683862341810285014010084716167259186447421431307646057730046475484866012882076034148747037261143310895715134765574108374264024833211126164920435757680553917853648247703356168022365771703509827487042401724067555265465027086419436375272801046011625467189419158886470468399437532015836692117405902704971810678405250510960348106703214266994153533895921397663601826566990804023442847915849308765539363656636921528920950936353207401619300792663251916181348686471863886904811268210185420370396066186991667477890451642372017709217450545177729961286880780308868844702138064928398732754147603561544724651611272627305830108251269628565738973709672433960403204867222729973826472725908865384599113973295297297973433871210042389571311329327140789352779135141477548586191180573670828112837674165370716984457393833896242504941370300955618183200936250762883155072835061300255813242597510795368114305949152611435211771152902981630688200225460993917430656353474757745861234647170768182554509341051762359403586762027534612283591047183857193853942988918166777100932853757044845321431442670135872596618533414679203568639322819354692369531772966514406373395493796395197188753502182850516779876951145577876467892605328953929802017690024854033741241761562433555574434440897325305722157549227281835640272778332269289289727588231426274902837435463179529638744859328470975212201664950125231831069279209739448681002188005943634239933641599682730862022985449966882632513464199657237004672158782593173687448242412606223381014458970203671917723417075044083262028551475808012509309160036856350687620986626390675298394602619443169345124760915003040582200190396445811190534145651914081103360700130040609835205039082376354513066898770042811028804832744721978146870687342607932320244727774931002117742752110832435099437197743306622944913551514449046083858971224041636394385297370029345289800762546956338910682629021890176373291469179319709546158752666869924100108717659770844332460041843304688738990935521249541569609148954886359053006822881049389734884689753278639002720434670333547680850844601113818638669412186795844760334351619442241965277584470658646424729658620030422357064804391502147156156167811589489179531618953577825948712126780851334019193439252659525167328775266056706619887888821503748165073626997999466346298933322369093408346301194116334975030672563078059165283015530279502544170027354479688033749905001420365004764117413322557573487296264539282047279848464284346592366277940186444377144187318182849013233965895950795057288402057653877041118562338157897541808900208964379854249674792446793655080014042842432699484479068796998953816157035734242510365575267846339634562132819076371698684477361668188225959813358118870180658056975753845889145338324097605015507825263803083467552474116925452408296112439558315033673679540003347596980583426909360283484781731377328056944428383488803131766142191875480556733684250606381709403025331923897243232231065862039854391556685911132731662114099531648532682806922266173737036884397629710091597832954874475167112371744763758367155523}
30100  376718314228159363875143500369286119160964005474382151483396396125996012608781268203805: {90291,330979,421274,601820,722184,812457,842492,872059,1203560,1232419,1354005,1444272,1592491,1624806,2132059,2670979,4448732,5177371,5355859,5533064,6224697,6537602,6781171,6959011,7847131,8047772,8328602,8379139,9043994,9264379,9964316,10324291,10677019,10829954,11297672,11381611,11998329,12709881,12787339,12835292,13552316,13838611,14283725,15245997,16417532,16629331,16803139,17140470,17671099,17848412,17892245,18191011,18283168,19056091,19568409,19919371,19927304,20058914,20568564,20608699,21420572,21470694,21500765,22326979,22418217,22669771,23295725,23354491,25061251,25470137,25560350,25800918,26646716,27091874,27132441,27358172,27607891,27777091,27832316,27954870,28284259,28453171,28841114,29539802,29818528,30509885,30672420,31384316,31648819,32300525,32553897,32717248,33039452,33320299,33545844,33719834,34929116,35482459,35565405,36385910,36580892,36611862,36806904,36972211,37632451,37936432,38310454,38467149,38760630,38915714,39982472,40115132,41243179,41344672,41407767,41410664,41569699,41673602,42384739,42678486,42710251,43117445,43357821,43585550,43663092,44079194,44333491,44346716,44495419,44938205,44980281,45050972,45142411,45626899,45788251,45794225,46135514,46333005,46512756,46586997,46593931,47397811,47503514,48199891,48528002,48545285,49022205,49421872,49788249,51231379,51253634,51376316,51548971,51740934,52290352,52302660,52816459,52952474,53093049,53234489,53290579,53631002,53925846,54238472,54729220,54866299,54880316,54953070,55346972,55599606,55789504,56278291,56339354,57996139,58027394,58254342,58307539,58616608,58774099,58826646,59271725,59375234,60169891,60239132,60384602,60809357,61018281,61145645,61344872,61559851,61596350,61866716,62009885,62763192,63250771,63606669,63863491,64169419,64780411,64833076,65237899,65390251,65675064,65943684,66454699,66758179,67203452,67371801,67666891,67747034,69012981,69105641,70227499,70608591,71070554,71126070,71275819,72022459,72292316,72301317,73064731,73073429,73374774,73807051,73884447,73915620,74379674,74411862,75722225,75753116,75867808,76049270,76358234,76464499,76905116,76905139,77595932,77930779,78184600,78843328,78952891,79098619,79173845,79206716,80204525,80261851,81853771,81936002,82286419,82417209,82779485,83105997,83293411,83341532,83436979,83988584,84153739,84220634,85351284,85441317,86092316,86293219,86577259,86870510,87286099,87957675,88416499,88444802,88585550,88698744,88838492,88979971,90103459,90209852,90523579,90866670,90943051,91082731,91259124,92322434,92336611,92618680,93722971,93821520,93999379,94487157,94573365,94772732,94896002,95008614,95994789,96245430,96821852,96924448,97157371,97702699,98115725,99058394,99060979,99335382,99467059,99777116,99786087,...,120916993141083136609901316828475556593868338197695181937217854715105180850414318190249399267763286907693094701485270364309380632428690365421825444961938362933269852370082674885301071027899270093340647040207371220082192207161110395634183553157316901583465432883733286449063690388451810497558464673272446231412952790848155663541643507349091025688912849757070061922845076850952625261127805831182683125393437534013299180427880423955587176045066893859755944956294721963119704118566183683657228174098639352375972266584131768414627168951823960980169062961167681971073943987693941688355247152862716446001841116438464692233698130400767821897569800021470034115639182203990244483820587138658090369820193038959198632870476175950122525078359089068891162743852474053812482359380297816513106626703570189407643244094569244849325282436247388221221058078949446493958893982856068549629278656370553789274413524806834073630020870442251127498184606945370928593306057769883204611464210851823495134928615839015274667098393783093338745512004411698280974508155068653083328141833852193575705415014981104956672630170897087362315711670875821212614731969951114337831206510947252544472438873911910184409039995388775731011027880150176090996550654983286244103615450998586358054663182499550369141422498677786099386509144885459956687155139328401823121020757000038225693808035997886475559956101476167160260883902148896171659222746833376859042794186014593847673439437016791845777632482197365576625955279911598470711092371863518096336667500279083889937921459517307213053334865560821590790451126592282143182539983269238549243751969271252616170100714699532184947200119113587104290400114470112445219001991861511771697851202389270921519261088983237598526806964466399511430243767249140911816455747046685346779621556345581929895241743528076973395300646488017176101378864996049681524414527620179687432144499018699777614834886560581010240738557138197663604474890696487695604679769982723202298756740353953369448559248500363734728015500622919225545181960624532583376021115589489874536939962414237873667347947130808937619022658871378527895196884802435422654405364590463887799078354052484875515895371894601248470943202159067723551002554908464915295818515873081690946913893827194754915988889970520602189829356945623267393570306615049174373745158459602850753237864977005530138082059632868815030169741106811001692838087651964946229911947204273156296973298435296967878487179465485297727063063964578494946723186095081772436187719137038846855303398114921574098227770817116898887160955979276525111861656673255160401274157577601248334350510873430446748400341084323463347727157485741265536815246949028203870642174250933633947991889907541804633010327814979529561024243406012454735683145871449016036712816378121396245142925138590651890889036134577138342726460428575256893514496795491377886238938091519097092472923159375697288685875164527325061860262918338002910467355706502601527437168623856807105271906402690253366472044988322348749911407432579254529767074296210065636375780853697037776359052386303450975235033203783247284239372851659812437961300282935553266833642441425705612985931574669584007924845653244855466243641149363980599955843510017952266209649339562878376790898249930989883474964508019278626938229223631222766725444349371401967744016679078880049141800916827982168520900397859470159257559126833014553337387442933587195261081587378860869218774804480933506720813113606718776501806017422531693390414705073110326295970862494249790143909760326303699908002823657002814443246799249596991075497259884735352598728111811961632055515192513729826705793719734350062608451880910172029186901831055292239092946061545003555826565466811623546361125776613389124406251651987914028332722092812198606515145404009097174732519646512919671038185336960579560444730241134459468151758184892549582394459680445802159256322620370112627544861899639544826707229809419739188669529541541557082119318906042158604770434598282835707801778692257919003546033556438367021408942159850518428671664220098169330665955128398577763158791211128401592155113300040896750770745553710687373706003392226703139306250711666540001893820006352156551096743431316395019385709396373131285712462123155037253581925836192249757577132017645287861267726743051202743538502721491416450877196722411866945285839805666233056595724873440018723789910265979305425062665271754876047645656680487433690461786179416177092101828931579303148890917634613084477491826907544075967671794518860451098796806687343767018404111290069965489233936544394816586077753378231572720004463462640777902545813711313042308503104075925904511318404175688189589167307408978245667475175612537367109231862990976308087816053139188742247881510308882818799375531376910409229688231649382512530172946788797110606499300222816495659685011156207364}
30101  377887692972464036340684040539420981058917314552748216770150241231240386857561822369047: {120388,631911,752275,902730,962912,1053115,1083276,1263738,1504450,1805340,1925696,2166408,2437209,4841431,5560915,6284839,6645691,6673098,6916330,8299596,9806403,9885463,10059715,10250119,11246554,11332243,12071658,12455395,12492903,13135783,13565991,14122090,14212231,14946474,15997772,16015051,16044115,16244931,16940395,16946508,17436391,18899563,19177642,19252938,20149459,20327996,20328474,20521915,21423511,22310515,22853960,23032243,23506138,24626298,24909130,25710705,26079559,26091212,26772618,26775715,27102394,27424752,28627592,29890956,30088371,30239203,30852846,32130858,32206041,33194378,33308395,33317779,34197715,34401224,34790395,34984663,35289991,36176588,36225691,36234331,37243651,37273160,37446163,38166859,38340525,38701377,38977642,39230395,39970074,40082698,40484839,40637811,40896560,41037258,41299315,41748474,41932305,43170919,43244138,43261671,43405196,43661395,44309703,44727792,45726115,45754058,46008630,46246951,47076474,47420540,47458663,48815816,49075872,49559178,49978090,50143915,50318766,50579751,51289532,51352243,51480811,51680840,51763330,52393674,53089459,53659111,53676763,54112258,54578865,54871338,54890119,54917793,55210356,55433395,56313715,56904648,56932051,56964674,57465681,57810428,57835051,58140945,58217456,58373571,58851571,59973708,60172698,60652231,61387483,61777340,62017008,62115996,62510403,64017729,64220395,64922698,64958491,65362940,65378325,65494638,66118791,66384332,66520074,67576458,67798090,68411525,68600395,68987912,69183715,69203271,69349159,69736880,69746563,69769134,70790732,71255271,71408962,71901128,72183523,72446554,72792003,73263751,73270760,73490011,74132808,74567911,75298915,75632258,76413098,76681090,76880451,77064474,77333395,77386123,77611401,77672456,78435528,78453990,78478279,79428711,79875163,80294474,80446503,80888769,81041345,81357708,82093830,82320474,82429605,82911091,83020458,83399409,83684256,84004315,84337891,84509031,84808892,84934363,87041091,87297979,87381513,87566752,87924912,88239969,88268474,88890439,89062851,89493271,89829068,90230311,90358698,90365395,90576903,92017308,92394525,92800074,93775603,94144788,94691395,94834760,95625691,95740778,96131395,96401756,96994915,97249614,97358131,97730750,97833032,98175643,98512596,98554160,98915526,98924618,99008395,99215816,...,181375489711624704914851975242713334890802507296542772905826782072657771275621477285374098901644930361539642052227905546464070948643035548132738167442907544399904778555124012327951606541848905140010970560311056830123288310741665593451275329735975352375198149325599929673595535582677715746337697009908669347119429186272233495312465261023636538533369274635605092884267615276428937891691708746774024688090156301019948770641820635933380764067600340789633917434442082944679556177849275525485842261147959028563958399876197652621940753427735941470253594441751522956610915981540912532532870729294074669002761674657697038350547195601151732846354700032205051173458773305985366725730880707987135554730289558438797949305714263925183787617538633603336744115778711080718723539070446724769659940055355284111464866141853867273987923654371082331831587118424169740938340974284102824443917984555830683911620287210251110445031305663376691247276910418056392889959086654824806917196316277735242702392923758522912000647590674640008118268006617547421461762232602979624992212750778290363558122522471657435008945256345631043473567506313731818922097954926671506746809766420878816708658310867865276613559993083163596516541820225264136494825982474929366155423176497879537081994773749325553712133748016679149079763717328189935030732708992602734681531135500057338540712053996829713339934152214250740391325853223344257488834120250065288564191279021890771510159155525187768666448723296048364938932919867397706066638557795277144505001250418625834906882189275960819580002298341232386185676689888423214773809974903857823865627953906878924255151072049298277420800178670380656435600171705168667828502987792267657546776803583906382278891633474856397790210446699599267145365650873711367724683620570028020169432334518372894842862615292115460092950969732025764152068297494074522286621791430269531148216748528049666422252329840871515361107835707296495406712336044731543407019654974084803448135110530930054172838872750545602092023250934378838317772940936798875064031673384234811805409943621356810501021920696213406428533988307067791842795327203653133981608046885695831698617531078727313273843057841901872706414803238601585326503832362697372943727773809622536420370840740792132373983334955780903284744035418434901090355459922573761560617737689404276129856797465508295207123089449303222545254611660216502539257131477947419344867920806409734445459947652945451817730769198227946590594595946867742420084779142622658654281578705558270282955097172382361147341656225675348330741433968914787667792485009882740601911236366401872501525766310145670122600511626485195021590736228611898305222870423542305805963261376400450921987834861312706949515491722469294341536365109018682103524718807173524055069224567182094367714387707885977836333554201865707514089690642862885340271745193237066829358407137278645638709384739063545933028812746790987592790394377507004365701033559753902291155752935785210657907859604035380049708067482483523124867111148868881794650611444315098454563671280545556664538578579455176462852549805674870926359059277489718656941950424403329900250463662138558419478897362004376011887268479867283199365461724045970899933765265026928399314474009344317565186347374896484825212446762028917940407343835446834150088166524057102951616025018618320073712701375241973252781350596789205238886338690249521830006081164400380792891622381068291303828162206721400260081219670410078164752709026133797540085622057609665489443956293741374685215864640489455549862004235485504221664870198874395486613245889827103028898092167717942448083272788770594740058690579601525093912677821365258043780352746582938358639419092317505333739848200217435319541688664920083686609377477981871042499083139218297909772718106013645762098779469769379506557278005440869340667095361701689202227637277338824373591689520668703238884483930555168941317292849459317240060844714129608783004294312312335623178978359063237907155651897424253561702668038386878505319050334657550532113413239775777643007496330147253995998932692597866644738186816692602388232669950061345126156118330566031060559005088340054708959376067499810002840730009528234826645115146974592529078564094559696928568693184732555880372888754288374636365698026467931791901590114576804115307754082237124676315795083617800417928759708499349584893587310160028085684865398968958137593997907632314071468485020731150535692679269124265638152743397368954723336376451919626716237740361316113951507691778290676648195210031015650527606166935104948233850904816592224879116630067347359080006695193961166853818720566969563462754656113888856766977606263532284383750961113467368501212763418806050663847794486464462131724079708783113371822265463324228199063297065365613844532347474073768795259420183195665909748950334224743489527516734311046}
30102  379060680486057046791609963197424172679487873674089040896091902637884726973925352386577: {150485,180582,331001,391157,661958,842548,932201,1203640,1292537,1354095,1444368,1624914,1684984,1744118,1895607,2192117,2256675,2407120,2464838,2671157,2708010,2888544,3184982,3249612,3388757,4264118,5341958,5415701,6663017,6840917,7137257,7492601,8025077,8438777,8897464,9323957,10009647,10354742,10374495,10383797,10711718,11066128,11265017,12437177,12449394,12788201,12846677,13022057,13075204,13562342,13664501,13918022,14539001,14888297,15411701,15694262,16095544,16657204,16758278,16862201,16869831,17730101,18087988,18107487,18249977,18528758,19402937,19805717,19928632,19997215,20323001,20610101,20648582,21126377,21183135,21354038,21659908,21699257,22419711,22557077,22595344,22763222,23996658,25049143,25119737,25409995,25419762,25574678,25670584,25743701,26593001,27101717,27104632,27677222,28286201,28567450,28766463,28879407,30101071,30196457,30491994,30492711,31036277,31706837,32543417,32614015,32835064,33258662,33378197,33606278,34155701,34280940,34488437,34710101,35259207,35319017,35342198,35540201,35696824,35784490,36313337,36382022,36566336,36939447,37139957,37363695,38112182,39136818,39444917,39838742,39854608,40117828,40155497,40158927,40653591,41082677,41137128,41217398,41246057,41626997,41790137,42116201,42387701,42441977,42713839,42841144,42875897,42941388,43001530,43201001,43525817,43742201,44066537,44336597,44653958,44836434,45220735,45339542,45845237,46279269,46591450,46708982,47294057,47454677,48096437,48196287,48256697,48523637,49695797,49791567,50122502,50492777,50940274,51120700,51552617,51601836,52872917,53293432,53610101,54183748,54256495,54264882,54716344,54922601,55215782,55554182,55655417,55664632,55909740,56021237,56282297,56568518,56906342,57682228,58363577,58466463,59079604,59275675,59637056,59864501,59955111,60124047,60364423,60380501,61019770,61344840,61555887,62622711,62692601,62768632,62913487,63297638,63766037,64111915,64174037,64225001,64601050,64866207,64937657,65107794,65242601,65434496,66078904,66640598,66763001,67091688,67439668,67963399,68631087,69012945,69531701,69858232,70282601,70614711,70964918,71130810,71330837,72027701,72263035,72771820,73161784,73223724,73268201,73613808,73812437,73944422,74338767,74967135,74996501,75264902,75478149,75872864,76519097,76620908,76910777,76934298,77221675,77497337,77521260,77644995,77831428,77936501,78590511,79964944,80230264,81168387,81281897,81571001,81670303,81703675,82292501,82307007,82486358,82689344,82815534,82821328,82980415,83139398,83347204,83921237,84207701,84769478,85356972,85420502,85447011,85603903,85635701,86234890,86299637,86359507,86583701,86715642,86813839,87171100,87326184,87339797,88158388,88470101,88488415,88666982,88693432,88892777,88990838,89455337,89876410,89960562,90101944,90110201,90156917,90259047,90284822,90530357,90577001,91253798,91554677,91576502,91588450,92204501,92271028,92389877,92666010,93025512,93173994,93187862,93361001,93776117,94052501,94795622,95007028,95704757,95933417,96390137,96399782,97028201,97056004,97090570,97384047,97891637,98044410,98241957,98843744,99576498,99780111,99790037,...,272063234567437057372277962864070002336203760944814159358740173108986656913432215928061148352467395542309463078341858319696106422964553322199107251164361316599857167832686018491927409812773357710016455840466585245184932466112498390176912994603963028562797223988399894510393303374016573619506545514863004020679143779408350242968697891535454807800053911953407639326401422914643406837537563120161037032135234451529923155962730953900071146101400511184450876151663124417019334266773913288228763391721938542845937599814296478932911130141603912205380391662627284434916373972311368798799306093941112003504142511986545557525820793401727599269532050048307576760188159958978050088596321061980703332095434337658196923958571395887775681426307950405005116173668066621078085308605670087154489910083032926167197299212780800910981885481556623497747380677636254611407511461426154236665876976833746025867430430815376665667546958495065036870915365627084589334938629982237210375794474416602864053589385637784368000971386011960012177402009926321132192643348904469437488319126167435545337183783707486152513417884518446565210351259470597728383146932390007260120214649631318225062987466301797914920339989624745394774812730337896204742238973712394049233134764746819305622992160623988330568200622025018723619645575992284902546099063488904102022296703250086007811068080995244570009901228321376110586988779835016386233251180375097932846286918532836157265238733287781652999673084944072547408399379801096559099957836692915716757501875627938752360323283913941229370003447511848579278515034832634822160714962355786735798441930860318386382726608073947416131200268005570984653400257557753001742754481688401486320165205375859573418337450212284596685315670049398900718048476310567051587025430855042030254148501777559342264293922938173190139426454598038646228102446241111783429932687145404296722325122792074499633378494761307273041661753560944743110068504067097315110529482461127205172202665796395081259258309125818403138034876401568257476659411405198312596047510076352217708114915432035215751532881044320109642800982460601687764192990805479700972412070328543747547926296618090969910764586762852809059622204857902377989755748544046059415591660714433804630556261111188198560975002433671354927116053127652351635533189883860642340926606534106414194785196198262442810684634173954833817881917490324753808885697216921129017301881209614601668189921479418177726596153797341919885891893920301613630127168713933987981422368058337405424432645758573541721012484338513022496112150953372181501688727514824110902866854549602808752288649465218505183900767439727792532386104342917847457834305635313458708944892064600676382981752291969060424273237583703941512304547663528023155287078210760286082603836850773141551571581561828966754500331302798561271134535964294328010407617789855600244037610705917968458064077108595318899543219120186481389185591566260506548551550339630853436733629403677815986861789406053070074562101223725284687300666723303322691975917166472647681845506920818334996807867869182764694278824708512306389538588916234577985412925636604994850375695493207837629218346043006564017830902719800924799048192586068956349900647897540392598971711014016476347779521062344727237818670143043376910611015753170251225132249786085654427424037527927480110569052062862959879172025895183807858329508035374282745009121746600571189337433571602436955742243310082100390121829505615117247129063539200696310128433086414498234165934440612062027823796960734183324793006353228256332497305298311593229919868834740654543347138251576913672124909183155892110088035869402287640869016732047887065670529119874407537959128638476258000609772300326152979312532997380125529914066216972806563748624708827446864659077159020468643148169204654069259835917008161304011000643042552533803341455916008236560387534281003054858326725895832753411975939274188975860091267071194413174506441468468503434768467538594856860733477846136380342554002057580317757978575501986325798170119859663666464511244495220880993998399038896799967107280225038903582349004925092017689234177495849046590838507632510082063439064101249715004261095014292352239967672720461888793617846141839545392853039777098833820559333131432561954548547039701897687852385171865206172961631123355687014473692625426700626893139562749024377340380965240042128527298098453437206390996861448471107202727531096725803539018903686398457229115096053432085004564677879440074356610541974170927261537667436014972292815046523475791409250402657422350776357224888337318674945101021038620010042790941750280728080850454345194131984170833285150466409395298426575626441670201052751819145128209075995771691729696693197586119563174670057733398194986342298594945598048420766798521211110653192889130274793498864623425501337115234291275101466569}
30103  380237287840948127402880231848034338929191624921459958633881763989665829785813062795543: {30103,240776,270873,992937,1053185,1263822,1474361,1504550,1805460,1925824,2106230,2166552,2437371,2527476,2616177,3008900,3610680,3697257,3851392,4062015,4332816,4777473,4874418,6396177,7427537,7785281,8012937,9682862,11121830,12113777,12569678,13291382,13346196,13832660,14083601,15532113,16067577,16344005,16599192,16796273,17437553,18674091,19612806,19770926,20119430,20343513,20500238,20821505,20877033,21123041,22461761,22493108,22609985,22664486,23541393,23716553,23812997,24143316,24910790,24985806,25137417,26081297,26271566,27074885,27131982,27793137,28244180,28424462,28730681,29892948,30821297,30972873,31234721,31995544,32030102,32031057,32088230,32489862,33880790,33893016,33977537,34144833,34872782,35949617,35994987,37246133,37486001,37799126,38129643,38355284,38362017,38505876,39375557,40028657,40298918,40487537,40655992,40656948,41043830,41109701,41515833,41625257,41706353,42847022,42851175,44621030,45707920,45737991,46064486,46250033,46631753,47012276,47876801,48706553,49252596,49451861,49818260,49887993,50147285,50409417,51020177,51421410,52159118,52182424,52500233,53013297,53092997,53545236,53551430,53676735,54204788,54573033,54849504,54893777,54922553,56750801,57168273,57255184,57537377,57819041,58705227,58855493,59758113,59781912,60176742,60478406,60656273,61125953,61705692,61826097,63415313,63900875,64016561,64261716,64412082,64502295,64681481,66388756,66616790,66635558,66892073,66980937,67254651,67283333,67729685,68009313,68395430,68802448,69353801,69580790,69887175,69969326,70063473,70201481,70579982,70764761,72102785,72353176,72451382,72468662,73849505,74487302,74546320,74892326,75183753,75224897,76333718,76410411,76681050,77161697,77402754,77606753,77952041,77955284,78460790,78839201,79135001,79940148,80165396,80969678,81275622,81397323,81793120,81958097,82074516,82598630,82723097,82823673,83331273,83496948,83864610,84299585,84852777,85359513,86341838,86488276,86523342,86584433,86810392,87322790,88125713,88619406,89272241,89455584,89757077,89908553,90964775,91452230,91508116,91529655,91556417,92017260,92077793,92493902,92665337,92747057,94152948,94435361,94841080,94917326,94926641,94946457,95776135,96040553,96857201,96901575,96954437,97114937,97289285,97631632,97661691,98151744,99118356,99672053,99956180,99960897,...,362750979423249409829703950485426669781605014593085545811653564145315542551242954570748197803289860723079284104455811092928141897286071096265476334885815088799809557110248024655903213083697810280021941120622113660246576621483331186902550659471950704750396298651199859347191071165355431492675394019817338694238858372544466990624930522047273077066738549271210185768535230552857875783383417493548049376180312602039897541283641271866761528135200681579267834868884165889359112355698551050971684522295918057127916799752395305243881506855471882940507188883503045913221831963081825065065741458588149338005523349315394076701094391202303465692709400064410102346917546611970733451461761415974271109460579116877595898611428527850367575235077267206673488231557422161437447078140893449539319880110710568222929732283707734547975847308742164663663174236848339481876681948568205648887835969111661367823240574420502220890062611326753382494553820836112785779918173309649613834392632555470485404785847517045824001295181349280016236536013235094842923524465205959249984425501556580727116245044943314870017890512691262086947135012627463637844195909853343013493619532841757633417316621735730553227119986166327193033083640450528272989651964949858732310846352995759074163989547498651107424267496033358298159527434656379870061465417985205469363062271000114677081424107993659426679868304428501480782651706446688514977668240500130577128382558043781543020318311050375537332897446592096729877865839734795412133277115590554289010002500837251669813764378551921639160004596682464772371353379776846429547619949807715647731255907813757848510302144098596554841600357340761312871200343410337335657005975584535315093553607167812764557783266949712795580420893399198534290731301747422735449367241140056040338864669036745789685725230584230920185901939464051528304136594988149044573243582860539062296433497056099332844504659681743030722215671414592990813424672089463086814039309948169606896270221061860108345677745501091204184046501868757676635545881873597750128063346768469623610819887242713621002043841392426812857067976614135583685590654407306267963216093771391663397235062157454626547686115683803745412829606477203170653007664725394745887455547619245072840741681481584264747966669911561806569488070836869802180710919845147523121235475378808552259713594931016590414246178898606445090509223320433005078514262955894838689735841612819468890919895305890903635461538396455893181189191893735484840169558285245317308563157411116540565910194344764722294683312451350696661482867937829575335584970019765481203822472732803745003051532620291340245201023252970390043181472457223796610445740847084611611926522752800901843975669722625413899030983444938588683072730218037364207049437614347048110138449134364188735428775415771955672667108403731415028179381285725770680543490386474133658716814274557291277418769478127091866057625493581975185580788755014008731402067119507804582311505871570421315815719208070760099416134964967046249734222297737763589301222888630196909127342561091113329077157158910352925705099611349741852718118554979437313883900848806659800500927324277116838957794724008752023774536959734566398730923448091941799867530530053856798628948018688635130372694749792969650424893524057835880814687670893668300176333048114205903232050037236640147425402750483946505562701193578410477772677380499043660012162328800761585783244762136582607656324413442800520162439340820156329505418052267595080171244115219330978887912587482749370431729280978911099724008470971008443329740397748790973226491779654206057796184335435884896166545577541189480117381159203050187825355642730516087560705493165876717278838184635010667479696400434870639083377329840167373218754955963742084998166278436595819545436212027291524197558939538759013114556010881738681334190723403378404455274554677648747183379041337406477768967861110337882634585698918634480121689428259217566008588624624671246357956718126475814311303794848507123405336076773757010638100669315101064226826479551555286014992660294507991997865385195733289476373633385204776465339900122690252312236661132062121118010176680109417918752134999620005681460019056469653290230293949185058157128189119393857137386369465111760745777508576749272731396052935863583803180229153608230615508164474249352631590167235600835857519416998699169787174620320056171369730797937916275187995815264628142936970041462301071385358538248531276305486794737909446672752903839253432475480722632227903015383556581353296390420062031301055212333870209896467701809633184449758233260134694718160013390387922333707637441133939126925509312227777713533955212527064568767501922226934737002425526837612101327695588972928924263448159417566226743644530926648456398126594130731227689064694948147537590518840366391331819497900668449486979055033468622092}
30104  381417526142918890995638471266515191276955499421952921915508561528316937016077018437019: {210679,300970,361164,391183,662002,782314,1323916,1685096,1864402,1895733,2256825,2407280,2585074,2708190,2888736,3159345,3249828,3369968,3488236,3761125,3791214,4384234,4513350,4701679,4814240,4929676,5342314,5416020,5777088,6369964,6499224,6663463,6777514,7196983,7311627,8084743,8528236,10683916,10831402,12496543,12847543,13326034,13681834,13723783,14274514,14524293,14985202,15470863,16050154,16682745,16877554,17037079,17290825,17794928,18597463,18647914,18854517,19461823,19937073,20019294,20709484,20748990,20767594,21423436,22132256,22215679,22530034,24874354,24898788,24951103,25576402,25693354,25802143,26044114,26150408,27124684,27329002,27329479,27836044,27996101,28116385,28175479,29078002,29419209,29656389,29776594,30179145,30750357,30823402,31388524,31541479,32191088,33314408,33516556,33724402,33739662,33880543,33996729,35305225,35460202,35573993,35708479,36175976,36214974,36499954,37057516,37197583,37362679,37366185,37478709,38805874,39407349,39611434,39666463,39857264,39994430,40024501,40646002,40697973,41220202,41297164,41466679,42252754,42366270,42444943,42636693,42708076,43319816,43398514,43745263,44717479,44839422,45114154,45190688,45526444,45659621,46332079,47136679,47944105,47993316,48045153,48099823,48132345,48734793,49699303,50098286,50239474,50819990,50821185,50839524,51149356,51341168,51487402,52309173,53186002,54203434,54209264,55354444,56025223,56572402,56651479,56698689,57134900,57532926,57588703,57758814,58765345,59765479,59920423,60202142,60384823,60392914,60448377,60983988,60985422,61465903,61565745,61928143,62072554,62272825,63309029,63413674,63464263,63617479,64229623,64270533,64993183,65086834,65228030,65670128,65754943,66517324,66756394,66931545,67212556,67755985,68311402,68331463,68561880,68976874,69096729,69420202,69536743,70518414,70638034,70684396,71080402,71393648,71568980,71933479,72626674,72678679,72764044,73132672,73422079,73878894,74163679,74279914,74727390,75641479,75959093,76224364,77132115,77258743,77698303,78238677,78273636,78889834,79677484,79709216,80235656,80310994,80317854,80327145,81307182,81336103,82165354,82202479,82274256,82434796,82492114,82778623,82985945,83253994,83580274,83654197,84232402,84775402,84883954,85427678,85682288,85751794,85882776,86003060,86402002,87051634,87484402,87770743,88133074,88673194,89307916,89672868,89756681,90163663,90265113,90441470,90583783,90679084,90717609,91690474,92118679,92257783,92558538,93182900,93417964,94197679,94588114,94909354,95557561,95574679,96192874,96392574,96513394,96519449,96618123,97047274,97081063,97444105,97626679,98442943,99391594,99583134,99925185,99953337,...,544126469134874114744555925728140004672407521889628318717480346217973313826864431856122296704934791084618926156683716639392212845929106644398214502328722633199714335665372036983854819625546715420032911680933170490369864932224996780353825989207926057125594447976799789020786606748033147239013091029726008041358287558816700485937395783070909615600107823906815278652802845829286813675075126240322074064270468903059846311925461907800142292202801022368901752303326248834038668533547826576457526783443877085691875199628592957865822260283207824410760783325254568869832747944622737597598612187882224007008285023973091115051641586803455198539064100096615153520376319917956100177192642123961406664190868675316393847917142791775551362852615900810010232347336133242156170617211340174308979820166065852334394598425561601821963770963113246995494761355272509222815022922852308473331753953667492051734860861630753331335093916990130073741830731254169178669877259964474420751588948833205728107178771275568736001942772023920024354804019852642264385286697808938874976638252334871090674367567414972305026835769036893130420702518941195456766293864780014520240429299262636450125974932603595829840679979249490789549625460675792409484477947424788098466269529493638611245984321247976661136401244050037447239291151984569805092198126977808204044593406500172015622136161990489140019802456642752221173977559670032772466502360750195865692573837065672314530477466575563305999346169888145094816798759602193118199915673385831433515003751255877504720646567827882458740006895023697158557030069665269644321429924711573471596883861720636772765453216147894832262400536011141969306800515115506003485508963376802972640330410751719146836674900424569193370631340098797801436096952621134103174050861710084060508297003555118684528587845876346380278852909196077292456204892482223566859865374290808593444650245584148999266756989522614546083323507121889486220137008134194630221058964922254410344405331592790162518516618251636806276069752803136514953318822810396625192095020152704435416229830864070431503065762088640219285601964921203375528385981610959401944824140657087495095852593236181939821529173525705618119244409715804755979511497088092118831183321428867609261112522222376397121950004867342709854232106255304703271066379767721284681853213068212828389570392396524885621369268347909667635763834980649507617771394433842258034603762419229203336379842958836355453192307594683839771783787840603227260254337427867975962844736116674810848865291517147083442024968677026044992224301906744363003377455029648221805733709099205617504577298930437010367801534879455585064772208685835694915668611270626917417889784129201352765963504583938120848546475167407883024609095327056046310574156421520572165207673701546283103143163123657933509000662605597122542269071928588656020815235579711200488075221411835936916128154217190637799086438240372962778371183132521013097103100679261706873467258807355631973723578812106140149124202447450569374601333446606645383951834332945295363691013841636669993615735738365529388557649417024612779077177832469155970825851273209989700751390986415675258436692086013128035661805439601849598096385172137912699801295795080785197943422028032952695559042124689454475637340286086753821222031506340502450264499572171308854848075055854960221138104125725919758344051790367615716659016070748565490018243493201142378674867143204873911484486620164200780243659011230234494258127078401392620256866172828996468331868881224124055647593921468366649586012706456512664994610596623186459839737669481309086694276503153827344249818366311784220176071738804575281738033464095774131341058239748815075918257276952516001219544600652305958625065994760251059828132433945613127497249417654893729318154318040937286296338409308138519671834016322608022001286085105067606682911832016473120775068562006109716653451791665506823951878548377951720182534142388826349012882936937006869536935077189713721466955692272760685108004115160635515957151003972651596340239719327332929022488990441761987996798077793599934214560450077807164698009850184035378468354991698093181677015265020164126878128202499430008522190028584704479935345440923777587235692283679090785706079554197667641118666262865123909097094079403795375704770343730412345923262246711374028947385250853401253786279125498048754680761930480084257054596196906874412781993722896942214405455062193451607078037807372796914458230192106864170009129355758880148713221083948341854523075334872029944585630093046951582818500805314844701552714449776674637349890202042077240020085581883500561456161700908690388263968341666570300932818790596853151252883340402105503638290256418151991543383459393386395172239126349340115466796389972684597189891196096841533597042422221306385778260549586997729246851002674230468582550202933138}
30105  382601406531625241323189894067568296937996367173435169359414971810049816840269963754889: {60206,451455,481552,541746,993003,1173471,1474459,1654895,1985874,2106370,2527644,2796603,2948722,3009100,3610920,3851648,3877611,4062285,4212460,4333104,4360295,4874742,5054952,5232354,5686821,6017800,6162095,6576351,6770025,7221360,7394514,7607963,7702784,7962455,8013471,8124030,8665632,8690519,9554946,9748836,10166271,10660295,12792354,13354895,14819087,14855074,15534299,15570562,15901211,16025874,16247103,19365724,19989051,20522751,20942759,21411771,22243660,22477803,22881607,24075231,24227554,25139356,25269527,25316331,25886855,26582764,26692392,26779295,27400043,27665320,27971871,28167202,29150107,30028941,30119087,30823351,31064226,31123485,31151391,31653979,32135154,32688010,33198384,33592546,33795051,33905855,34795055,34875106,36605351,37311531,37348182,37904839,38364603,38540031,39066171,39225612,39235655,39541852,40155271,40238860,40687026,40929527,40993503,41000476,41628031,41643010,41754066,41895695,42246082,42485911,43617003,44664891,44923522,44986216,45219970,45328972,46235103,46321895,47082786,47433106,47625994,48286632,49007963,49821580,49971612,50274834,50586603,50609493,51621455,52162594,52543132,53190303,53385095,54149770,54263964,54322461,54749931,54975899,55269727,55586274,56488360,56754583,56848924,56908055,56939663,57461362,58208811,58676731,59417151,59785896,59991645,60969003,61642594,61830303,61945746,62469442,63379131,63549405,63936695,63991088,64060204,64062114,64176460,64979724,65097771,65213903,66294299,67259133,67671231,67761580,67786032,67955074,68289666,69193055,69745564,70206199,71418625,71899234,71989974,72291067,74492266,74577899,74972002,75147429,75359211,75598252,76229985,76259286,76710568,76724034,77011752,77231103,78751114,79090027,79779003,80057314,80597836,80975074,81305151,81311984,81313896,81963583,82087660,82219402,83031666,83146655,83250514,83412706,84015695,84349199,84858603,84945719,85694044,85702350,86299389,86638221,87657847,88355495,88902151,89242060,89461225,90303213,90589371,90955055,91415840,91475982,91478133,92128972,92500066,93108831,93263506,93523183,94024552,94135471,94821559,95120511,95280455,95753602,97413106,97630251,97842045,98505192,98903722,99596855,99636520,99775986,...,816189703702311172116833888592210007008611282834442478076220519326959970740296647784183445057402186626928389235025574959088319268893659966597321753493083949799571503498058055475782229438320073130049367521399755735554797398337495170530738983811889085688391671965199683531179910122049720858519636544589012062037431338225050728906093674606364423400161735860222917979204268743930220512612689360483111096405703354589769467888192861700213438304201533553352628454989373251058002800321739864686290175165815628537812799442889436798733390424811736616141174987881853304749121916934106396397918281823336010512427535959636672577462380205182797808596150144922730280564479876934150265788963185942109996286303012974590771875714187663327044278923851215015348521004199863234255925817010261463469730249098778501591897638342402732945656444669870493242142032908763834222534384278462709997630930501238077602291292446129997002640875485195110612746096881253768004815889946711631127383423249808592160768156913353104002914158035880036532206029778963396577930046713408312464957378502306636011551351122458457540253653555339695631053778411793185149440797170021780360643948893954675188962398905393744761019968874236184324438191013688614226716921137182147699404294240457916868976481871964991704601866075056170858936727976854707638297190466712306066890109750258023433204242985733710029703684964128331760966339505049158699753541125293798538860755598508471795716199863344958999019254832217642225198139403289677299873510078747150272505626883816257080969851741823688110010342535545737835545104497904466482144887067360207395325792580955159148179824221842248393600804016712953960200772673259005228263445065204458960495616127578720255012350636853790055947010148196702154145428931701154761076292565126090762445505332678026792881768814519570418279363794115938684307338723335350289798061436212890166975368376223498900135484283921819124985260682834229330205512201291945331588447383381615516607997389185243777774927377455209414104629204704772429978234215594937788142530229056653124344746296105647254598643132960328928402947381805063292578972416439102917236210985631242643778889854272909732293760288558427178866614573707133969267245632138178246774982143301413891668783333564595682925007301014064781348159382957054906599569651581927022779819602319242584355588594787328432053902521864501453645752470974261426657091650763387051905643628843805004569764438254533179788461392025759657675681760904840890381506141801963944267104175012216273297937275720625163037453015539067488336452860116544505066182544472332708600563648808426256865948395655515551702302319183377597158313028753542373502916905940376126834676193802029148945256875907181272819712751111824536913642990584069465861234632280858247811510552319424654714744685486900263500993908395683813403607892882984031222853369566800732112832117753905374192231325785956698629657360559444167556774698781519645654651018892560310200888211033447960585368218159210223686303671175854061902000169909968075927751499417943045536520762455004990423603607548294082836474125536919168615766748703733956238776909814984551127086479623512887655038129019692053492708159402774397144577758206869049701943692621177796915133042049429043338563187034181713456010429130130731833047259510753675396749358256963282272112583782440331707156188588879637516077685551423574988524106122848235027365239801713568012300714807310867226729930246301170365488516845351741387190617602088930385299259243494702497803321836186083471390882202549974379019059684768997491915894934779689759606504221963630041414754730741016374727549467676330264107608206862922607050196143661197011587359623222613877385915428774001829316900978458937937598992140376589742198650918419691245874126482340593977231477061405929444507613962207779507751024483912033001929127657601410024367748024709681162602843009164574980177687498260235927817822566927580273801213583239523519324405405510304305402615784570582200433538409141027662006172740953273935726505958977394510359578990999393533733485662642981995197116690399901321840675116710747047014775276053067702532487547139772515522897530246190317192303749145012783285042877056719903018161385666380853538425518636178559119331296501461677999394297685863645641119105693063557155515595618518884893370067061043421077876280101880679418688247073132021142895720126385581894295360311619172990584345413321608182593290177410617056711059195371687345288160296255013694033638320223069831625922512781784613002308044916878445139570427374227751207972267052329071674665011956024835303063115860030128372825250842184242551363035582395952512499855451399228185895279726879325010603158255457435384627227987315075189090079592758358689524010173200194584959026895784836794145262300395563633331959578667390824380496593870276504011345702873825304399707}
30106  383788940180700092094654186545433861203599992089123977873302043959560067410922018726160: {90309,421358,511513,601940,722328,782366,812619,1324004,1412773,1564628,1772773,2647832,2978811,3159555,3370192,3728804,3761375,3791466,4423083,4513650,4814560,5170148,5265575,5356933,5416380,5777472,6318690,6499656,6739936,6782533,6960409,6976472,7138213,7312113,7522250,7582428,7848531,8026153,8768468,9026700,9403358,9443113,9628480,9859352,10326373,10502809,10684628,10832040,11091771,11383909,11554176,11559913,12186045,12739928,12998448,13140709,13326926,13555028,14332419,14393966,14623254,16169486,16806553,17056472,19188531,19232809,19923433,20095909,21129253,21367832,21662804,21816709,22282611,22674409,23355843,23701273,24038811,24207155,24993086,25236709,25695086,26652068,27363668,27447566,27782809,27804575,28459033,28549028,28627909,29048586,29970404,30941726,31424195,31822873,32100308,33228455,33365490,33755108,34074158,34581650,35589856,36341331,37145113,37194926,37295828,37709034,38923646,39362939,39874146,40038588,40434073,41418968,41497980,41535188,42250803,42556453,42846872,42881893,44264512,44431358,44504773,45060068,45797893,45959209,46596339,47301683,47407813,48202731,48210073,49032015,49427315,49748708,49797576,49902206,50298575,50388819,50606053,51152804,51250595,51386708,51559909,51604286,52088228,52300816,52312659,52985833,54249368,54658004,54658958,55672088,55992202,56022273,56133673,56232770,56350958,56661215,58156004,58475653,58838418,59312778,59553188,60182809,60358290,61030539,61500714,61646804,61727209,62276975,62464515,62631099,62777048,63082958,63369123,63877273,64382176,64794409,64947013,65404393,65678915,66628816,66924313,67033112,67121747,67385283,67448804,67479324,67761086,67829955,67983973,67993458,70610450,70624179,70920404,70992133,71061155,71147986,71149659,71416958,71438991,72351952,72429948,72931993,72999908,73971493,74115032,74395166,74725358,74732370,74957418,75412251,75892633,77611748,78243891,78814698,79116073,79222868,79332926,79552933,79714528,79988860,80049002,80075255,80220575,80424709,81224655,81292004,81293893,81395946,82271483,82440404,82594328,82933358,83379411,83455513,84172453,84505508,84701975,84732540,84889886,85273386,85416152,86170309,86192043,86639632,86797028,87181955,87447193,87490526,88999909,89140633,89434958,89562373,89678844,90228308,90381376,90543913,90963493,91052888,91103209,91319242,92463891,92664158,92918619,93704163,93882409,94273358,94497815,94858379,95261209,95810713,95888210,95986632,96090306,96093171,96199646,96264690,97469586,98133253,98864051,99219013,99398606,99895273,...,1088252938269748229489111851456280009344815043779256637434960692435946627653728863712244593409869582169237852313367433278784425691858213288796429004657445266399428671330744073967709639251093430840065823361866340980739729864449993560707651978415852114251188895953599578041573213496066294478026182059452016082716575117633400971874791566141819231200215647813630557305605691658573627350150252480644148128540937806119692623850923815600284584405602044737803504606652497668077337067095653152915053566887754171383750399257185915731644520566415648821521566650509137739665495889245475195197224375764448014016570047946182230103283173606910397078128200193230307040752639835912200354385284247922813328381737350632787695834285583551102725705231801620020464694672266484312341234422680348617959640332131704668789196851123203643927541926226493990989522710545018445630045845704616946663507907334984103469721723261506662670187833980260147483661462508338357339754519928948841503177897666411456214357542551137472003885544047840048709608039705284528770573395617877749953276504669742181348735134829944610053671538073786260841405037882390913532587729560029040480858598525272900251949865207191659681359958498981579099250921351584818968955894849576196932539058987277222491968642495953322272802488100074894478582303969139610184396253955616408089186813000344031244272323980978280039604913285504442347955119340065544933004721500391731385147674131344629060954933151126611998692339776290189633597519204386236399831346771662867030007502511755009441293135655764917480013790047394317114060139330539288642859849423146943193767723441273545530906432295789664524801072022283938613601030231012006971017926753605945280660821503438293673349800849138386741262680197595602872193905242268206348101723420168121016594007110237369057175691752692760557705818392154584912409784964447133719730748581617186889300491168297998533513979045229092166647014243778972440274016268389260442117929844508820688810663185580325037033236503273612552139505606273029906637645620793250384190040305408870832459661728140863006131524177280438571203929842406751056771963221918803889648281314174990191705186472363879643058347051411236238488819431609511959022994176184237662366642857735218522225044444752794243900009734685419708464212510609406542132759535442569363706426136425656779140784793049771242738536695819335271527669961299015235542788867684516069207524838458406672759685917672710906384615189367679543567575681206454520508674855735951925689472233349621697730583034294166884049937354052089984448603813488726006754910059296443611467418198411235009154597860874020735603069758911170129544417371671389831337222541253834835779568258402705531927009167876241697092950334815766049218190654112092621148312843041144330415347403092566206286326247315867018001325211194245084538143857177312041630471159422400976150442823671873832256308434381275598172876480745925556742366265042026194206201358523413746934517614711263947447157624212280298248404894901138749202666893213290767903668665890590727382027683273339987231471476731058777115298834049225558154355664938311941651702546419979401502781972831350516873384172026256071323610879203699196192770344275825399602591590161570395886844056065905391118084249378908951274680572173507642444063012681004900528999144342617709696150111709920442276208251451839516688103580735231433318032141497130980036486986402284757349734286409747822968973240328401560487318022460468988516254156802785240513732345657992936663737762448248111295187842936733299172025412913025329989221193246372919679475338962618173388553006307654688499636732623568440352143477609150563476066928191548262682116479497630151836514553905032002439089201304611917250131989520502119656264867891226254994498835309787458636308636081874572592676818616277039343668032645216044002572170210135213365823664032946241550137124012219433306903583331013647903757096755903440365068284777652698025765873874013739073870154379427442933911384545521370216008230321271031914302007945303192680479438654665858044977980883523975993596155587199868429120900155614329396019700368070756936709983396186363354030530040328253756256404998860017044380057169408959870690881847555174471384567358181571412159108395335282237332525730247818194188158807590751409540687460824691846524493422748057894770501706802507572558250996097509361523860960168514109192393813748825563987445793884428810910124386903214156075614745593828916460384213728340018258711517760297426442167896683709046150669744059889171260186093903165637001610629689403105428899553349274699780404084154480040171163767001122912323401817380776527936683333140601865637581193706302505766680804211007276580512836303983086766918786772790344478252698680230933592779945369194379782392193683067194084844442612771556521099173995458493702005348460937165100405866276}
30107  384980138297856395661613708330374845721106505396780188388315854042900365625372209851170: {120412,632037,752425,902910,963104,1083492,1173549,1655005,1955785,1986006,2316853,2346942,2948918,3309790,3971748,4212740,4661005,5055288,5593206,5687199,5897444,6018200,6104413,6462685,6770475,7221840,7703296,7755222,8124570,8424920,8626933,8666208,8720590,8991229,9478035,9712933,9749484,10109904,10464708,10960585,11147437,11283375,11373642,12035600,12234013,12324190,13152702,13355785,13540050,14105037,14442720,14789028,14924413,15215926,15405568,15841093,15924910,16026942,16248060,16562509,16943785,17331264,17381038,18358717,18696853,19109892,19497672,19990389,20332542,21320590,21590949,21934881,21964357,22131373,23406613,24254229,25569997,25584708,26709790,27012253,27078505,27401869,29638174,29710148,31068598,31140073,31141124,31802422,32051748,32381869,32494206,33315085,33662509,34204585,35297053,35686285,36241597,37268869,37463005,37489629,37491013,38542629,38731448,39978102,40125385,40304773,41045502,41171349,41885518,42193885,42823542,43572879,43752253,44487320,44955606,45148213,45553993,45763214,46412589,46619785,47468197,48150462,48455108,48713077,49011229,49083133,50048235,50278712,50388469,50539054,50632662,51111237,51491113,51773710,51872475,51918985,53165528,53384784,53558590,54539077,54800086,54929917,55330640,55792389,55943742,56325085,56334404,56563551,58300214,58311373,58385469,58653973,58906573,59811219,60057882,60238174,61646702,62128452,62185885,62246970,62302782,63307958,63941005,64233385,64270308,64850653,64971517,65110285,65218249,65376020,65514013,66298717,66396768,66647037,66718693,67185092,67292329,67590102,67811710,68322505,68395069,69590110,69650509,69750212,72270037,72695005,73210702,73278469,74441485,74623062,74696364,74739133,74853309,75234973,75809678,76538869,76729206,77058505,77080062,77401609,77406429,78132342,78451224,78471310,79083704,79671277,80310542,80477720,81374052,81859054,81987006,81988437,82000952,82927717,83256062,83286020,83508132,83791390,83988303,84311005,84349155,84492164,84526437,84971822,86306869,87234006,87985897,88137517,88257627,88650505,88969167,89329782,89511373,89847044,89972432,90439940,90537435,90657944,90858493,91249885,92251071,92470206,92643790,94165572,94362997,94624437,94866212,94939333,95251988,96055069,96573264,96870277,97014685,98015926,99028585,99643160,99685417,99943224,99986075,...,1632379407404622344233667777184420014017222565668884956152441038653919941480593295568366890114804373253856778470051149918176638537787319933194643506986167899599143006996116110951564458876640146260098735042799511471109594796674990341061477967623778171376783343930399367062359820244099441717039273089178024124074862676450101457812187349212728846800323471720445835958408537487860441025225378720966222192811406709179538935776385723400426876608403067106705256909978746502116005600643479729372580350331631257075625598885778873597466780849623473232282349975763706609498243833868212792795836563646672021024855071919273345154924760410365595617192300289845460561128959753868300531577926371884219992572606025949181543751428375326654088557847702430030697042008399726468511851634020522926939460498197557003183795276684805465891312889339740986484284065817527668445068768556925419995261861002476155204582584892259994005281750970390221225492193762507536009631779893423262254766846499617184321536313826706208005828316071760073064412059557926793155860093426816624929914757004613272023102702244916915080507307110679391262107556823586370298881594340043560721287897787909350377924797810787489522039937748472368648876382027377228453433842274364295398808588480915833737952963743929983409203732150112341717873455953709415276594380933424612133780219500516046866408485971467420059407369928256663521932679010098317399507082250587597077721511197016943591432399726689917998038509664435284450396278806579354599747020157494300545011253767632514161939703483647376220020685071091475671090208995808932964289774134720414790651585161910318296359648443684496787201608033425907920401545346518010456526890130408917920991232255157440510024701273707580111894020296393404308290857863402309522152585130252181524891010665356053585763537629039140836558727588231877368614677446670700579596122872425780333950736752446997800270968567843638249970521365668458660411024402583890663176894766763231033215994778370487555549854754910418828209258409409544859956468431189875576285060458113306248689492592211294509197286265920657856805894763610126585157944832878205834472421971262485287557779708545819464587520577116854357733229147414267938534491264276356493549964286602827783337566667129191365850014602028129562696318765914109813199139303163854045559639204638485168711177189574656864107805043729002907291504941948522853314183301526774103811287257687610009139528876509066359576922784051519315351363521809681780763012283603927888534208350024432546595874551441250326074906031078134976672905720233089010132365088944665417201127297616852513731896791311031103404604638366755194316626057507084747005833811880752253669352387604058297890513751814362545639425502223649073827285981168138931722469264561716495623021104638849309429489370973800527001987816791367626807215785765968062445706739133601464225664235507810748384462651571913397259314721118888335113549397563039291309302037785120620401776422066895921170736436318420447372607342351708123804000339819936151855502998835886091073041524910009980847207215096588165672948251073838337231533497407467912477553819629969102254172959247025775310076258039384106985416318805548794289155516413738099403887385242355593830266084098858086677126374068363426912020858260261463666094519021507350793498716513926564544225167564880663414312377177759275032155371102847149977048212245696470054730479603427136024601429614621734453459860492602340730977033690703482774381235204177860770598518486989404995606643672372166942781764405099948758038119369537994983831789869559379519213008443927260082829509461482032749455098935352660528215216413725845214100392287322394023174719246445227754771830857548003658633801956917875875197984280753179484397301836839382491748252964681187954462954122811858889015227924415559015502048967824066003858255315202820048735496049419362325205686018329149960355374996520471855635645133855160547602427166479047038648810811020608610805231569141164400867076818282055324012345481906547871453011917954789020719157981998787067466971325285963990394233380799802643681350233421494094029550552106135405064975094279545031045795060492380634384607498290025566570085754113439806036322771332761707076851037272357118238662593002923355998788595371727291282238211386127114311031191237037769786740134122086842155752560203761358837376494146264042285791440252771163788590720623238345981168690826643216365186580354821234113422118390743374690576320592510027388067276640446139663251845025563569226004616089833756890279140854748455502415944534104658143349330023912049670606126231720060256745650501684368485102726071164791905024999710902798456371790559453758650021206316510914870769254455974630150378180159185516717379048020346400389169918053791569673588290524600791127266663919157334781648760993187740553008022691405747650608799414}
30108  386175012124990482295833431367491386704139055952167251257239435161631690795780984226898: {150515,180618,331067,511547,571691,842716,1023026,1112627,1203880,1354365,1444656,1564732,1625238,1832867,2372291,2648008,2825546,2911067,2979009,3129256,3520413,3545546,4423377,4463891,4964685,5265925,5295664,5416787,5714147,5957622,6319110,6740384,6782987,6842291,7197947,7371805,7457608,7522750,7582932,7671707,8085827,8389809,8846166,9027300,9629120,10327067,10340296,10385891,10531150,10713866,10832760,10914947,11554944,11632833,12186855,12637380,12999312,13024691,13080885,13479872,13565066,13842347,13920818,13952944,14192291,14276426,14624226,15044500,15065891,15164856,15414827,15697062,15995747,16052306,16865627,17039387,17060463,17536936,17907107,18053400,18486285,18806716,18886226,19256960,19718704,19729053,20310075,20652746,20843891,21005618,21130691,21369256,21664080,22183542,22333067,22561691,22767818,22823889,23108352,23119826,23360867,23759867,23887365,24040413,24044627,24372090,24556691,25068107,25479856,25635587,25919027,25996896,26071557,26281418,26485307,26653852,27107291,27110056,27446147,28292027,28460987,28664838,28787932,29246508,29978387,30482891,30498813,31545827,31657547,31980885,32338972,32717291,33613106,33890017,34112944,34162787,34329227,35492291,35713427,36044891,37137685,37202747,37477907,37972691,38377062,38465618,38926405,39846866,40064685,40191818,41254691,41472467,41581307,41798891,42258506,42396587,42559427,42613691,42735664,43210067,43325608,43633418,43993873,44237891,44457261,44507891,44565222,44723747,44831627,45348818,45854891,46519837,46602897,46711686,47402546,47464691,47703633,48077622,48213467,48266891,48414310,48741309,48854027,49865891,49986172,50473418,50662691,50980907,51245867,51390172,51775187,53042291,53304136,53305691,53779307,54727336,54895132,55565618,55609150,55901989,56137667,56189891,56503067,56918066,56920187,57098056,57232691,57255818,58097172,58324187,58531691,59101667,59877347,59940808,59967153,60393467,60568885,61568253,61577507,61883452,62828277,62848390,63473387,63645746,64187891,64200616,64235313,65002547,65409107,65764427,66456910,66730980,66777467,66929147,67433409,67510216,68148316,68441987,68644821,69163300,69198241,70418005,70447907,70997291,71179712,71750833,72043427,72225693,72682662,72986891,73284227,73432787,73976891,74273267,74290226,74389852,74591656,75012947,75418068,75808581,75948993,77367827,77660565,77847292,78725878,78830267,79316147,79325701,79748292,80077176,80337885,80868146,81299891,81348107,81720025,82200129,82310747,82502891,82837936,82995960,83070376,83915613,83981365,84226427,84501606,85112906,85654787,85693744,85763786,85797227,86508347,86792291,87187765,87450321,87500891,88529024,88630907,88862716,89009546,89194187,90086823,90120136,90130427,90357261,90597347,90970307,91595786,91918418,91950481,92225267,92364347,92470053,93192678,93370455,93382067,93454173,93520547,94211867,94603366,94815626,94961937,95589107,96405462,96420146,96776891,97050227,97186787,97505147,97732307,97913891,98064030,98854630,99091067,99271691,99485617,99497416,99595152,99804412,...,2448569111106933516350501665776630021025833848503327434228661557980879912220889943352550335172206559880785167705076724877264957806680979899791965260479251849398714510494174166427346688314960219390148102564199267206664392195012485511592216951435667257065175015895599050593539730366149162575558909633767036186112294014675152186718281023819093270200485207580668753937612806231790661537838068081449333289217110063769308403664578585100640314912604600660057885364968119753174008400965219594058870525497446885613438398328668310396200171274435209848423524963645559914247365750802319189193754845470008031537282607878910017732387140615548393425788450434768190841693439630802450797366889557826329988858909038923772315627142562989981132836771553645046045563012599589702767777451030784390409190747296335504775692915027208198836969334009611479726426098726291502667603152835388129992892791503714232806873877338389991007922626455585331838238290643761304014447669840134893382150269749425776482304470740059312008742474107640109596618089336890189733790140140224937394872135506919908034654053367375372620760960666019086893161335235379555448322391510065341081931846681864025566887196716181234283059906622708552973314573041065842680150763411546443098212882721373750606929445615894975113805598225168512576810183930564122914891571400136918200670329250774070299612728957201130089111054892384995282899018515147476099260623375881395616582266795525415387148599590034876997057764496652926675594418209869031899620530236241450817516880651448771242909555225471064330031027606637213506635313493713399446434661202080622185977377742865477444539472665526745180802412050138861880602318019777015684790335195613376881486848382736160765037051910561370167841030444590106462436286795103464283228877695378272287336515998034080378645306443558711254838091382347816052922016170006050869394184308638670500926105128670496700406452851765457374955782048502687990616536603875835994765342150144846549823992167555731333324782132365628242313887614114317289934702646784813364427590687169959373034238888316941763795929398880986785208842145415189877736917249317308751708632956893727931336669562818729196881280865675281536599843721121401907801736896414534740324946429904241675006350000693787048775021903042194344044478148871164719798708954745781068339458806957727753066765784361985296161707565593504360937257412922784279971274952290161155716930886531415013709293314763599539365384176077278973027045282714522671144518425405891832801312525036648819893811827161875489112359046617202465009358580349633515198547633416998125801690946425278770597845186966546655106906957550132791474939086260627120508750717821128380504028581406087446835770627721543818459138253335473610740928971752208397583703896842574743434531656958273964144234056460700790502981725187051440210823678648952093668560108700402196338496353261716122576693977357870095888972081678332502670324096344558936963953056677680930602664633100343881756104654477630671058911013527562185706000509729904227783254498253829136609562287365014971270810822644882248509422376610757505847300246111201868716330729444953653381259438870538662965114387059076160478124478208323191433733274620607149105831077863533390745399126148287130015689561102545140368031287390392195499141778532261026190248074770889846816337751347320995121468565766638912548233056654270724965572318368544705082095719405140704036902144421932601680189790738903511096465550536055224161571852806266791155897777730484107493409965508558250414172646607649923137057179054306992475747684804339069278819512665890890124244264192223049124182648403028990792322824620588767821150588430983591034762078869667841632157746286322005487950702935376813812796976421129769226595952755259073737622379447021781931694431184217788333522841886623338523253073451736099005787382972804230073103244074129043487808529027493724940533062494780707783453467700782740821403640749718570557973216216530912916207847353711746601300615227423082986018518222859821807179517876932183531078736972998180601200456987928945985591350071199703965522025350132241141044325828159203107597462641419317546568692590738570951576911247435038349855128631170159709054484156999142560615276555908535677357993889504385033998182893057590936923357317079190671466546786855556654680110201183130263233628840305642038256064741219396063428687160379156745682886080934857518971753036239964824547779870532231851170133177586115062035864480888765041082100914960669209494877767538345353839006924134750635335418711282122683253623916801156987215023995035868074505909189347580090385118475752526552727654089106747187857537499566354197684557685839180637975031809474766372306153881683961945225567270238778275076068572030519600583754877080687354510382435786901186690899995878736002172473141489781610829512034037108621475913199121}
30109  387373572938285710988894281578510749439873015310527068171577869453807192809793029510130: {30109,240824,270927,1053395,1264074,1504850,1534539,1805820,1926208,1955915,2166984,2317007,2347098,2437857,2738099,3310010,3911570,3972012,4238319,4633706,4693884,5318319,5897836,6525407,6619580,7943496,8425480,8936433,9047759,9322010,9478665,10110576,10855631,11186412,11284125,11374398,11794888,12036400,12208826,12925370,13269249,13540950,14443680,14458379,15344819,15406592,15510444,15796725,16070799,16249140,16849840,17253866,17332416,17441180,17704751,17982458,18698099,18805625,18956070,19425866,19498968,20219808,20347599,20881227,20929416,21414639,21921170,21936339,22294874,22566750,22747284,23508395,23545593,23721299,24071200,24078459,24468026,24548399,24648380,26155259,26305404,26711570,27080100,28210074,28329339,28875167,28885440,29578056,29848826,30431852,30811136,30979119,31508427,31682186,31849820,32053884,32384027,32496120,33125018,33275313,33317315,33887570,34151727,34662528,34679739,34762076,34803611,35956811,35984915,36558135,36717434,37393706,37909907,38219784,38995344,39422127,39980778,40307459,40423715,40665084,41714699,42641180,42997257,43181898,43869762,43928714,44045027,44262746,45046511,45807311,46641119,46813226,47776139,47886419,48508458,49741967,49960799,50391827,50419659,51139994,51169416,52448207,52510739,53356979,53419580,54024506,54157010,54803738,55558499,56175539,57548891,57565593,57698427,58007339,58315259,59071439,59276348,59420296,59564747,59770299,60287727,60955439,62137196,62280146,62282248,62332847,62482715,63387759,63604844,64103496,64237715,64763738,64988412,65267699,65450127,65518379,66630170,66847833,66905459,67325018,67734827,68023227,68399627,68409170,68618915,69616859,70067529,70594106,71029727,71103819,71372570,72116433,72483194,72621465,72686579,74537738,74567951,74926010,74979258,74982026,75710127,77085258,77354315,77462896,78855119,79956204,80250770,80609546,82091004,82342698,82739651,83348427,83413725,83771036,84342179,84387770,85185395,85377099,85647084,85883727,86454125,86601827,87060239,87145758,87504506,87510239,88914059,88974640,89517407,89911212,89926739,90296426,90455027,91107986,91154399,91526428,92096219,92683919,92825178,92987315,93239570,94272585,94936394,95468619,95651507,95740559,96300924,96910216,97134371,97309115,97426154,98022458,98166266,98337179,98734019,99685365,...,3264758814809244688467335554368840028034445131337769912304882077307839882961186591136733780229608746507713556940102299836353277075574639866389287013972335799198286013992232221903128917753280292520197470085599022942219189593349980682122955935247556342753566687860798734124719640488198883434078546178356048248149725352900202915624374698425457693600646943440891671916817074975720882050450757441932444385622813418359077871552771446800853753216806134213410513819957493004232011201286959458745160700663262514151251197771557747194933561699246946464564699951527413218996487667736425585591673127293344042049710143838546690309849520820731191234384600579690921122257919507736601063155852743768439985145212051898363087502856750653308177115695404860061394084016799452937023703268041045853878920996395114006367590553369610931782625778679481972968568131635055336890137537113850839990523722004952310409165169784519988010563501940780442450984387525015072019263559786846524509533692999234368643072627653412416011656632143520146128824119115853586311720186853633249859829514009226544046205404489833830161014614221358782524215113647172740597763188680087121442575795575818700755849595621574979044079875496944737297752764054754456906867684548728590797617176961831667475905927487859966818407464300224683435746911907418830553188761866849224267560439001032093732816971942934840118814739856513327043865358020196634799014164501175194155443022394033887182864799453379835996077019328870568900792557613158709199494040314988601090022507535265028323879406967294752440041370142182951342180417991617865928579548269440829581303170323820636592719296887368993574403216066851815840803090693036020913053780260817835841982464510314881020049402547415160223788040592786808616581715726804619044305170260504363049782021330712107171527075258078281673117455176463754737229354893341401159192245744851560667901473504893995600541937135687276499941042731336917320822048805167781326353789533526462066431989556740975111099709509820837656418516818819089719912936862379751152570120916226612497378985184422589018394572531841315713611789527220253170315889665756411668944843942524970575115559417091638929175041154233708715466458294828535877068982528552712987099928573205655566675133334258382731700029204056259125392637531828219626398278606327708091119278409276970337422354379149313728215610087458005814583009883897045706628366603053548207622574515375220018279057753018132719153845568103038630702727043619363561526024567207855777068416700048865093191749102882500652149812062156269953345811440466178020264730177889330834402254595233705027463793582622062206809209276733510388633252115014169494011667623761504507338704775208116595781027503628725091278851004447298147654571962336277863444938529123432991246042209277698618858978741947601054003975633582735253614431571531936124891413478267202928451328471015621496768925303143826794518629442237776670227098795126078582618604075570241240803552844133791842341472872636840894745214684703416247608000679639872303711005997671772182146083049820019961694414430193176331345896502147676674463066994814935824955107639259938204508345918494051550620152516078768213970832637611097588578311032827476198807774770484711187660532168197716173354252748136726853824041716520522927332189038043014701586997433027853129088450335129761326828624754355518550064310742205694299954096424491392940109460959206854272049202859229243468906919720985204681461954067381406965548762470408355721541197036973978809991213287344744333885563528810199897516076238739075989967663579739118759038426016887854520165659018922964065498910197870705321056430432827451690428200784574644788046349438492890455509543661715096007317267603913835751750395968561506358968794603673678764983496505929362375908925908245623717778030455848831118031004097935648132007716510630405640097470992098838724650411372036658299920710749993040943711271290267710321095204854332958094077297621622041217221610463138282328801734153636564110648024690963813095742906023835909578041438315963997574134933942650571927980788466761599605287362700466842988188059101104212270810129950188559090062091590120984761268769214996580051133140171508226879612072645542665523414153702074544714236477325186005846711997577190743454582564476422772254228622062382474075539573480268244173684311505120407522717674752988292528084571582880505542327577181441246476691962337381653286432730373160709642468226844236781486749381152641185020054776134553280892279326503690051127138452009232179667513780558281709496911004831889068209316286698660047824099341212252463440120513491301003368736970205452142329583810049999421805596912743581118907517300042412633021829741538508911949260300756360318371033434758096040692800778339836107583139347176581049201582254533327838314669563297521986375481106016045382811495301217598828}
30110  388575832048316432707354975365950823668535438196493424754589567183196413780929358612997: {210721,301030,361236,391261,571729,662134,1023094,1143382,1685432,1896111,2046052,2225254,2257275,2407760,2708730,2889312,2911261,3129464,3250476,3520647,3665734,3807841,4523809,4744582,4881361,4965015,5296016,5651092,5773981,5822134,5867355,5958018,6258512,6842749,6950559,7040826,7091092,7372295,8263741,8274475,8846754,8927782,9149521,9929370,10320527,10386589,10531850,10591328,10833574,11428294,11915244,12638220,13025569,13480768,13565974,13684582,13983015,14395894,14743610,14775889,14915216,15045500,15165864,15343414,15474001,15996829,16171654,16779618,17061597,17692332,18054600,18313239,19258240,19388055,19811101,20311425,20654134,20680592,20771782,20845309,21062300,21361441,21427732,21665520,21801475,21829894,23109888,23265666,24103201,24373710,25126609,25274760,25880799,25998624,26049382,26161770,26826529,26959744,26973687,27130132,27335101,27684694,27841636,27905888,28384582,28434105,28552852,29138799,29248452,29362909,30036541,30089000,30131782,30329712,30541009,30810475,30829654,31394124,31548001,31715581,31991494,32104612,32881755,33442311,33731254,33850125,34078774,34120926,34719709,35073872,35550049,35814214,36106800,36702039,36972570,37370461,37535521,37613432,37772452,38030269,38039815,38513920,39437408,39458106,39674749,39812275,40067355,40166689,40620150,40821601,41305492,41475361,41638621,41687782,42011236,42261382,42315111,42453841,42616669,42738512,43328160,43452595,43754449,44367084,44666134,44773239,45123382,45535261,45535636,45647778,46216704,46239652,46721734,47307361,47519734,47523279,47774730,48080826,48089254,48270289,48744180,48910801,49113382,49687527,49869409,50136214,50831355,50959712,50984509,51271174,51778849,51838054,51992759,51993792,52143114,52562836,52970614,53301475,53307704,54214582,54220112,54496967,54892294,55076151,55880401,56090559,56193889,56507089,56584054,56921974,56976349,57329676,57575864,57601021,58380241,58493016,59157661,59933281,59956774,59971167,60965782,60997626,61856047,63091654,63315094,63631201,63784381,63961770,64243489,64677944,64772847,65159761,65434582,65769169,65804643,65893071,65921341,66065987,66394119,66774475,67226212,67439101,67780034,68225888,68325574,68658454,70219839,70984582,71426854,72089782,72762687,73586641,74095435,74275370,74328061,74405494,74955814,75215389,75945382,76709991,76754124,76931236,77275741,77671495,77715409,77852810,77861821,79506055,79693732,80129370,80383636,81036759,81235515,81354109,81787729,82205607,82220701,82508989,82509382,82940881,82944934,83162614,83228449,83597782,84517012,84793174,84796439,85118854,85227382,85233361,85471328,86420134,86514781,86651216,86798749,87266836,87790369,87987746,88475782,88914522,89015782,89130444,89447494,89663254,90183901,90697636,91709782,92278561,92417629,93039674,93205794,93420219,93423372,94770769,94805092,94929382,95407266,95733661,96145249,96155244,96426934,96533782,96828620,97103101,97145607,97482618,97708054,98585207,98601169,99731782,99820381,99945255,99972344,...,4897138222213867032701003331553260042051667697006654868457323115961759824441779886705100670344413119761570335410153449754529915613361959799583930520958503698797429020988348332854693376629920438780296205128398534413328784390024971023184433902871334514130350031791198101187079460732298325151117819267534072372224588029350304373436562047638186540400970415161337507875225612463581323075676136162898666578434220127538616807329157170201280629825209201320115770729936239506348016801930439188117741050994893771226876796657336620792400342548870419696847049927291119828494731501604638378387509690940016063074565215757820035464774281231096786851576900869536381683386879261604901594733779115652659977717818077847544631254285125979962265673543107290092091126025199179405535554902061568780818381494592671009551385830054416397673938668019222959452852197452583005335206305670776259985785583007428465613747754676779982015845252911170663676476581287522608028895339680269786764300539498851552964608941480118624017484948215280219193236178673780379467580280280449874789744271013839816069308106734750745241521921332038173786322670470759110896644783020130682163863693363728051133774393432362468566119813245417105946629146082131685360301526823092886196425765442747501213858891231789950227611196450337025153620367861128245829783142800273836401340658501548140599225457914402260178222109784769990565798037030294952198521246751762791233164533591050830774297199180069753994115528993305853351188836419738063799241060472482901635033761302897542485819110450942128660062055213274427013270626987426798892869322404161244371954755485730954889078945331053490361604824100277723761204636039554031369580670391226753762973696765472321530074103821122740335682060889180212924872573590206928566457755390756544574673031996068160757290612887117422509676182764695632105844032340012101738788368617277341001852210257340993400812905703530914749911564097005375981233073207751671989530684300289693099647984335111462666649564264731256484627775228228634579869405293569626728855181374339918746068477776633883527591858797761973570417684290830379755473834498634617503417265913787455862673339125637458393762561731350563073199687442242803815603473792829069480649892859808483350012700001387574097550043806084388688088956297742329439597417909491562136678917613915455506133531568723970592323415131187008721874514825845568559942549904580322311433861773062830027418586629527199078730768352154557946054090565429045342289036850811783665602625050073297639787623654323750978224718093234404930018717160699267030397095266833996251603381892850557541195690373933093310213813915100265582949878172521254241017501435642256761008057162812174893671541255443087636918276506670947221481857943504416795167407793685149486869063313916547928288468112921401581005963450374102880421647357297904187337120217400804392676992706523432245153387954715740191777944163356665005340648192689117873927906113355361861205329266200687763512209308955261342117822027055124371412001019459808455566508996507658273219124574730029942541621645289764497018844753221515011694600492222403737432661458889907306762518877741077325930228774118152320956248956416646382867466549241214298211662155727066781490798252296574260031379122205090280736062574780784390998283557064522052380496149541779693632675502694641990242937131533277825096466113308541449931144636737089410164191438810281408073804288843865203360379581477807022192931101072110448323143705612533582311795555460968214986819931017116500828345293215299846274114358108613984951495369608678138557639025331781780248488528384446098248365296806057981584645649241177535642301176861967182069524157739335683264315492572644010975901405870753627625593952842259538453191905510518147475244758894043563863388862368435576667045683773246677046506146903472198011574765945608460146206488148258086975617058054987449881066124989561415566906935401565481642807281499437141115946432433061825832415694707423493202601230454846165972037036445719643614359035753864367062157473945996361202400913975857891971182700142399407931044050700264482282088651656318406215194925282838635093137385181477141903153822494870076699710257262340319418108968313998285121230553111817071354715987779008770067996365786115181873846714634158381342933093573711113309360220402366260526467257680611284076512129482438792126857374320758313491365772161869715037943506072479929649095559741064463702340266355172230124071728961777530082164201829921338418989755535076690707678013848269501270670837422564245366507247833602313974430047990071736149011818378695160180770236951505053105455308178213494375715074999132708395369115371678361275950063618949532744612307763367923890451134540477556550152137144061039201167509754161374709020764871573802373381799991757472004344946282979563221659024068074217242951826398242}
30111  389781800800152267039839086982379053330470195615547357789525775755853664545427877705400: {60218,451545,481648,541854,993201,1474753,1534641,1715073,2106790,2528148,2557565,2738281,3009700,3069078,3337881,3611640,3640769,3852416,3911830,4063095,4333968,4634014,4694196,4875714,5476198,5498601,6620020,7063865,7116873,7823140,7944024,8476638,8733201,8863865,8937027,9267412,9387768,9592649,10561239,10636638,11757761,11795672,13050814,13239160,13270131,13391673,13556609,14894055,15797775,15886992,16250361,16850960,17142441,17517401,17872866,18095518,18644020,18806875,18957330,20049353,20221152,20348961,20526873,21593841,21711262,22115415,22372824,22568250,22748796,23015121,23452649,23589776,24007553,24072800,24257481,24417652,25169427,25850740,26327875,26538498,26784665,27081900,28334321,28887360,28916758,29380769,30689638,30813184,30981201,31020888,31157673,31593450,32141598,32498280,32744841,32911753,33699680,33912665,34507732,34664832,34802045,34882360,34898499,35409502,35691065,35964916,36560565,37396198,37611250,37912140,38851732,38997936,39074073,39242655,40130765,40439616,40695198,40749353,41527041,41762454,41858832,42345521,42494413,42576873,42829278,43842340,43872678,44589748,45049513,45133500,45197673,45494568,46154573,46244481,46644241,47016790,47091186,47215565,47442598,47987241,48142400,48156918,48936052,49096798,49296760,50378881,50478749,50596881,51118161,51181389,51631865,52310518,52514045,52610808,53423140,53721321,54135913,54160200,55458855,56420148,56593201,56658678,56919545,56951081,57750334,57770880,57799565,58688473,58785961,58914449,59156112,59187159,59697652,60863704,60930225,61622272,61792649,61958238,62094793,62337001,62531673,63016854,63364372,63392073,63699640,64107768,64768054,64992240,65703545,66250036,66550626,66634630,66999201,67685073,67739341,67775140,68303454,68471667,69325056,69359478,69524152,69607222,70082601,70394701,71279601,71662095,71913622,71969830,72121239,72133881,72596609,73116270,73434868,73670073,74592881,74757401,74787412,75204321,75819814,76439568,76549121,76906761,77757081,77990688,78214671,78844254,79455921,79961556,80614918,80847430,81321873,81330168,82338441,83429398,84032765,84876081,84962753,85282360,85382961,85994514,86318441,86363796,87475801,87739524,87857428,87997661,88090054,88525492,89932801,89935161,90093022,90158881,91448673,91496439,91614622,92170529,93282238,93626452,94637481,94972641,95552278,95772838,95942655,96066481,96164045,97016916,98151873,99483934,99617165,99921598,...,7345707333320800549051504997329890063077501545509982302685984673942639736662669830057651005516619679642355503115230174631794873420042939699375895781437755548196143531482522499282040064944880658170444307692597801619993176585037456534776650854307001771195525047686797151780619191098447487726676728901301108558336882044025456560154843071457279810601455622742006261812838418695371984613514204244347999867651330191307925210993735755301920944737813801980173656094904359259522025202895658782176611576492340656840315194986004931188600513823305629545270574890936679742742097252406957567581264536410024094611847823636730053197161421846645180277365351304304572525080318892407352392100668673478989966576727116771316946881427688969943398510314660935138136689037798769108303332353092353171227572241889006514327078745081624596510908002028834439179278296178874508002809458506164389978678374511142698420621632015169973023767879366755995514714871931283912043343009520404680146450809248277329446913412220177936026227422322920328789854268010670569201370420420674812184616406520759724103962160102126117862282881998057260679484005706138666344967174530196023245795540045592076700661590148543702849179719868125658919943719123197528040452290234639329294638648164121251820788336847684925341416794675505537730430551791692368744674714200410754602010987752322210898838186871603390267333164677154985848697055545442428297781870127644186849746800386576246161445798770104630991173293489958780026783254629607095698861590708724352452550641954346313728728665676413192990093082819911640519905940481140198339303983606241866557932133228596432333618417996580235542407236150416585641806954059331047054371005586840130644460545148208482295111155731684110503523091333770319387308860385310392849686633086134816862009547994102241135935919330676133764514274147043448158766048510018152608182552925916011502778315386011490101219358555296372124867346145508063971849609811627507984296026450434539649471976502667193999974346397096884726941662842342951869804107940354440093282772061509878119102716664950825291387788196642960355626526436245569633210751747951926255125898870681183794010008688456187590643842597025844609799531163364205723405210689243604220974839289712725025019050002081361146325065709126583032133434446613494159396126864237343205018376420873183259200297353085955888485122696780513082811772238768352839913824856870483467150792659594245041127879944290798618096152528231836919081135848143568013433555276217675498403937575109946459681435481485626467337077139851607395028075741048900545595642900250994377405072839275836311793535560899639965320720872650398374424817258781881361526252153463385141512085744218262340507311883164631455377414760006420832222786915256625192751111690527724230303594970874821892432702169382102371508945175561154320632471035946856281005680326101206589015489059785148367730081932073610287666916245034997508010972289033676810891859170033042791807993899301031645268313963432892013176733040582686557118001529189712683349763494761487409828686862095044913812432467934646745528267129832272517541900738333605606148992188334860960143778316611615988895343161177228481434373434624969574301199823861821447317493233590600172236197378444861390047068683307635421104093862171176586497425335596783078570744224312669540449013254041962985364405697299916737644699169962812174896716955105634115246287158215422112110706433265797805040569372216710533289396651608165672484715558418800373467693333191452322480229896525674751242517939822949769411171537162920977427243054413017207836458537997672670372732792576669147372547945209086972376968473861766303463451765292950773104286236609003524896473238858966016463852108806130441438390929263389307679787858265777221212867138341065345795083293552653365000568525659870015569759220355208297017362148918412690219309732222387130463425587082481174821599187484342123350360403102348222464210922249155711673919648649592738748623542061135239803901845682269248958055554668579465421538553630796550593236210918994541803601370963786837956774050213599111896566076050396723423132977484477609322792387924257952639706077772215712854730733742305115049565385893510479127163452470997427681845829667725607032073981668513155101994548679172772810770071951237572014399640360566669964040330603549390789700886520916926114768194223658188190286061481137470237048658242804572556915259108719894473643339611596695553510399532758345186107593442666295123246302744882007628484633302615036061517020772404251906006256133846368049760871750403470961645071985107604223517727568042740271155355427257579658182962267320241563572612498699062593053673057517541913925095428424299116918461645051885835676701810716334825228205716091558801751264631242062063531147307360703560072699987636208006517419424469344832488536102111325864427739597363}
30112  390991490573462693175233965906514029242888516145859598223390704899899337003429265733720: {90327,421442,602060,692047,722472,782522,812781,1143458,1232911,1324268,1593127,2046188,2286764,2492407,3031111,3160185,3370864,3762125,3792222,4092104,4450508,4514550,4603617,4815520,5417460,5714911,5778624,5822522,5867745,6258928,6500952,6951021,6961807,7041294,7139647,7313571,7331468,7615682,8214297,8275025,8736967,9047618,9489164,9762722,9778925,9930030,10321213,10504927,10592032,10681327,11302184,11547962,11562247,11584265,11644268,11734710,11916036,12517024,12714957,13143367,13318687,13685498,13901118,14081652,14182184,14194207,14744590,15954957,16527482,16548950,17693508,17855564,18299042,19409527,19576221,19858740,20100007,20617111,20641054,20773178,21063700,21182656,21667148,22679047,22856588,23305025,23706127,23830488,25276440,25752511,26051138,26602111,26809299,26961536,27131948,27143277,27369164,27966030,28435995,28633807,28791788,29487220,29551778,29830432,30091000,30331728,30487087,30522065,30686828,30948002,31661911,31993658,31996927,32313425,32343308,32566893,33334111,33559236,33667687,33852375,34123194,35384664,36109200,36626478,37977967,38516480,38776110,39130111,39622202,39807747,40442527,40622850,41308268,41361184,41543564,41587111,41690618,42124600,42402511,42722882,42728167,42855464,43134665,43331040,43375137,43602950,43659788,44352127,44837911,44956145,45968887,46034457,46130167,46219776,46531332,47390175,48206402,48212397,48540727,48564665,48747420,50253218,50549520,51570847,51761598,51997248,52098764,52323540,53114253,53255741,53629111,53653058,53919488,53947374,54260264,54417511,54670202,54802925,54889687,55369388,55683272,55737185,55811776,56094297,56302327,56416875,56769164,56868210,57105704,58277598,58332511,58496904,58725818,59110111,59575807,60073082,60178000,60263564,60659424,60833633,61042797,61082018,61170065,61620950,61659308,62643681,62788248,63096002,63431162,63982988,64197127,64209224,64243917,64808407,64961047,65763510,65809017,66778925,66787111,66884622,67090447,67462508,67700250,67998727,68157548,68241852,69133229,69439418,69807511,70147744,70525185,70636779,71100098,71163897,71628428,72213600,72235377,72352207,73096687,73102601,73404078,73645197,73945140,74622065,74740922,75071042,75226864,75544904,76060538,76079630,77027840,78465777,78874816,78916212,79205465,79349498,79624550,80134710,80333378,80587567,81240300,81643202,82610984,82812545,82950722,83277242,83375564,84022472,84191167,84522764,84630222,84718925,84907682,84988017,85233338,85477024,85904911,86331727,86615911,86625501,86656320,86905190,87325111,87508898,88456087,88734168,89160607,89332268,89546478,90246764,90564247,91070522,91071272,91123687,91295556,91793585,92433408,92479304,92937357,93443468,93484265,94041847,94525281,94614722,95039468,95046558,95549460,95969647,96161652,96178508,96540578,97152081,97488360,97821602,98155567,98226764,99375054,99738818,99825939,99951945,...,9794276444427734065402006663106520084103335394013309736914646231923519648883559773410201340688826239523140670820306899509059831226723919599167861041917007397594858041976696665709386753259840877560592410256797068826657568780049942046368867805742669028260700063582396202374158921464596650302235638535068144744449176058700608746873124095276373080801940830322675015750451224927162646151352272325797333156868440255077233614658314340402561259650418402640231541459872479012696033603860878376235482101989787542453753593314673241584800685097740839393694099854582239656989463003209276756775019381880032126149130431515640070929548562462193573703153801739072763366773758523209803189467558231305319955435636155695089262508570251959924531347086214580184182252050398358811071109804123137561636762989185342019102771660108832795347877336038445918905704394905166010670412611341552519971571166014856931227495509353559964031690505822341327352953162575045216057790679360539573528601078997703105929217882960237248034969896430560438386472357347560758935160560560899749579488542027679632138616213469501490483043842664076347572645340941518221793289566040261364327727386727456102267548786864724937132239626490834211893258292164263370720603053646185772392851530885495002427717782463579900455222392900674050307240735722256491659566285600547672802681317003096281198450915828804520356444219569539981131596074060589904397042493503525582466329067182101661548594398360139507988231057986611706702377672839476127598482120944965803270067522605795084971638220901884257320124110426548854026541253974853597785738644808322488743909510971461909778157890662106980723209648200555447522409272079108062739161340782453507525947393530944643060148207642245480671364121778360425849745147180413857132915510781513089149346063992136321514581225774234845019352365529391264211688064680024203477576737234554682003704420514681986801625811407061829499823128194010751962466146415503343979061368600579386199295968670222925333299128529462512969255550456457269159738810587139253457710362748679837492136955553267767055183717595523947140835368581660759510947668997269235006834531827574911725346678251274916787525123462701126146399374884485607631206947585658138961299785719616966700025400002775148195100087612168777376177912595484658879194835818983124273357835227830911012267063137447941184646830262374017443749029651691137119885099809160644622867723546125660054837173259054398157461536704309115892108181130858090684578073701623567331205250100146595279575247308647501956449436186468809860037434321398534060794190533667992503206763785701115082391380747866186620427627830200531165899756345042508482035002871284513522016114325624349787343082510886175273836553013341894442963715887008833590334815587370298973738126627833095856576936225842803162011926900748205760843294714595808374674240434801608785353985413046864490306775909431480383555888326713330010681296385378235747855812226710723722410658532401375527024418617910522684235644054110248742824002038919616911133017993015316546438249149460059885083243290579528994037689506443030023389200984444807474865322917779814613525037755482154651860457548236304641912497912833292765734933098482428596423324311454133562981596504593148520062758244410180561472125149561568781996567114129044104760992299083559387265351005389283980485874263066555650192932226617082899862289273474178820328382877620562816147608577687730406720759162955614044385862202144220896646287411225067164623591110921936429973639862034233001656690586430599692548228716217227969902990739217356277115278050663563560496977056768892196496730593612115963169291298482355071284602353723934364139048315478671366528630985145288021951802811741507255251187905684519076906383811021036294950489517788087127726777724736871153334091367546493354093012293806944396023149531891216920292412976296516173951234116109974899762132249979122831133813870803130963285614562998874282231892864866123651664831389414846986405202460909692331944074072891439287228718071507728734124314947891992722404801827951715783942365400284798815862088101400528964564177303312636812430389850565677270186274770362954283806307644989740153399420514524680638836217936627996570242461106223634142709431975558017540135992731572230363747693429268316762685866187147422226618720440804732521052934515361222568153024258964877584253714748641516626982731544323739430075887012144959859298191119482128927404680532710344460248143457923555060164328403659842676837979511070153381415356027696539002541341674845128490733014495667204627948860095980143472298023636757390320361540473903010106210910616356426988751430149998265416790738230743356722551900127237899065489224615526735847780902269080955113100304274288122078402335019508322749418041529743147604746763599983514944008689892565959126443318048136148434485903652796484}
30113  392204912782621956153986270004593293638388557243850693601812095403328771798675566571601: {30113,120436,632163,752575,903090,963296,1083708,1173783,1655335,1715187,1986402,2557735,2858455,2949506,3069282,3430146,3580591,3641011,4213580,4302727,5056296,5115130,5476562,5563135,5688333,6019400,6138156,6675762,6771825,7223280,7281538,7704832,7823660,8126190,8667936,8733783,9164335,9268028,9388392,9751428,9889411,10254211,10561941,10952396,10997202,11336767,11423523,11861455,12409411,13141027,13240040,13571427,14127730,14217907,14233746,14555335,14644083,14895045,15646280,15888048,16021447,16953276,17321943,17466402,17602065,17727730,17874054,18534824,18775536,18907111,19185298,20528247,20702383,20851677,21122478,21273276,21432067,22116885,22319455,23515522,23591344,24113287,24791223,24823425,26101628,26329625,26478320,26540262,26783346,26831971,27083935,27113218,27448563,27716767,28570735,29382727,29716483,29788110,30961581,31159767,31595550,31773984,32240431,32500722,33701920,33914935,34203031,34211455,34284882,34722727,35034802,35745732,35989735,36191036,36859025,37276327,37288040,37498531,37613750,37914660,38358535,39076707,40098706,40429135,40442304,40697922,41053746,41949045,42130687,42348343,43187682,43422524,44230830,44327667,44745648,45136500,45497592,46030242,46422003,46905298,47179552,47327347,47477731,47990487,48015106,48145600,48514962,48722863,48835304,49337647,49967491,50338854,51184791,51635335,51701480,51929455,52220431,52655750,52941127,53076996,53569330,54163800,54529987,54549991,54574735,54939717,56183071,56668642,57597343,57774720,57833516,58164165,58761538,59433303,59572711,60934275,61379276,61626368,61796767,61962402,62041776,62315346,62535927,63186900,63533287,64084323,64283196,64996560,65123455,65404425,65489682,65823506,66054211,66101791,67305823,67399360,67825330,69015464,69211735,69329664,69604090,69626167,69664447,69764720,69774511,69796998,70819004,70961455,71382130,71929832,72284611,72309603,72601447,73121130,73293187,73519663,73788163,74762383,74792396,75057511,75222500,75250087,75329455,75379827,75824280,75855751,76137907,77074135,77642397,77703464,77995872,78148146,78485310,78509827,79687363,79978735,80261530,80479587,80879232,80919391,80921061,81390396,81498706,82005303,82418611,83054082,83524908,83717664,84328135,84691042,84988826,85153746,85196935,85302315,85658556,87416397,87684680,87745356,87820207,88088727,88155223,88275847,89179496,89535535,90099026,90109623,90266467,90267000,90395346,90467143,90989136,91037431,91623027,91984963,92309146,92431425,92488962,92826547,93288482,94033580,94182372,94431130,94644003,94885196,94958371,95146743,95974482,96284800,96313836,97872104,98193596,98350327,98593520,98645265,...,14691414666641601098103009994659780126155003091019964605371969347885279473325339660115302011033239359284711006230460349263589746840085879398751791562875511096392287062965044998564080129889761316340888615385195603239986353170074913069553301708614003542391050095373594303561238382196894975453353457802602217116673764088050913120309686142914559621202911245484012523625676837390743969227028408488695999735302660382615850421987471510603841889475627603960347312189808718519044050405791317564353223152984681313680630389972009862377201027646611259090541149781873359485484194504813915135162529072820048189223695647273460106394322843693290360554730702608609145050160637784814704784201337346957979933153454233542633893762855377939886797020629321870276273378075597538216606664706184706342455144483778013028654157490163249193021816004057668878358556592357749016005618917012328779957356749022285396841243264030339946047535758733511991029429743862567824086686019040809360292901618496554658893826824440355872052454844645840657579708536021341138402740840841349624369232813041519448207924320204252235724565763996114521358968011412277332689934349060392046491591080091184153401323180297087405698359439736251317839887438246395056080904580469278658589277296328242503641576673695369850682833589351011075460861103583384737489349428400821509204021975504644421797676373743206780534666329354309971697394111090884856595563740255288373699493600773152492322891597540209261982346586979917560053566509259214191397723181417448704905101283908692627457457331352826385980186165639823281039811880962280396678607967212483733115864266457192864667236835993160471084814472300833171283613908118662094108742011173680261288921090296416964590222311463368221007046182667540638774617720770620785699373266172269633724019095988204482271871838661352267529028548294086896317532097020036305216365105851832023005556630772022980202438717110592744249734692291016127943699219623255015968592052900869079298943953005334387999948692794193769453883325684685903739608215880708880186565544123019756238205433329901650582775576393285920711253052872491139266421503495903852510251797741362367588020017376912375181287685194051689219599062326728411446810421378487208441949678579425450050038100004162722292650131418253166064266868893226988318792253728474686410036752841746366518400594706171911776970245393561026165623544477536705679827649713740966934301585319188490082255759888581597236192305056463673838162271696287136026867110552435350996807875150219892919362870962971252934674154279703214790056151482097801091191285800501988754810145678551672623587071121799279930641441745300796748849634517563762723052504306926770283024171488436524681014623766329262910754829520012841664445573830513250385502223381055448460607189941749643784865404338764204743017890351122308641264942071893712562011360652202413178030978119570296735460163864147220575333832490069995016021944578067353621783718340066085583615987798602063290536627926865784026353466081165373114236003058379425366699526989522974819657373724190089827624864935869293491056534259664545035083801476667211212297984376669721920287556633223231977790686322354456962868746869249939148602399647723642894634986467181200344472394756889722780094137366615270842208187724342353172994850671193566157141488448625339080898026508083925970728811394599833475289398339925624349793433910211268230492574316430844224221412866531595610081138744433421066578793303216331344969431116837600746935386666382904644960459793051349502485035879645899538822343074325841954854486108826034415672917075995345340745465585153338294745095890418173944753936947723532606926903530585901546208572473218007049792946477717932032927704217612260882876781858526778615359575716531554442425734276682130691590166587105306730001137051319740031139518440710416594034724297836825380438619464444774260926851174164962349643198374968684246700720806204696444928421844498311423347839297299185477497247084122270479607803691364538497916111109337158930843077107261593101186472421837989083607202741927573675913548100427198223793132152100793446846265954968955218645584775848515905279412155544431425709461467484610230099130771787020958254326904941994855363691659335451214064147963337026310203989097358345545621540143902475144028799280721133339928080661207098781579401773041833852229536388447316376380572122962274940474097316485609145113830518217439788947286679223193391107020799065516690372215186885332590246492605489764015256969266605230072123034041544808503812012512267692736099521743500806941923290143970215208447035455136085480542310710854515159316365924534640483127145224997398125186107346115035083827850190856848598233836923290103771671353403621432669650456411432183117603502529262484124127062294614721407120145399975272416013034838848938689664977072204222651728855479194726}
30114  393422078876814289337285314742733071842666970060226749703507512018714154449479821230575: {150545,180654,331133,511649,692093,842884,1204120,1293053,1354635,1384094,1444944,1565044,1625562,2013149,2286916,2465822,2648536,2979603,3031313,3091133,3186254,3927773,4092376,4424259,4573528,4603923,4984814,5001149,5145219,5266975,5774753,5893649,6062222,6320370,6741728,6962273,7199393,7495613,7524250,7584444,7672695,7850813,8184208,8214843,8264849,8383073,8901016,9029100,9207234,9268733,9631040,9779575,10013643,10505633,10834920,10922307,11093393,11429822,11557248,11585035,11645044,11735490,11797649,12189285,12517856,12793373,13001904,13144253,13690495,13902042,13923614,14082588,14279294,14627142,14662936,14894333,15231364,15998993,16173149,16217971,16428594,16495803,16550050,17042849,17332349,17473934,18084113,18095236,18603773,18892193,18978328,19468433,19525444,19557850,19860060,19928849,20331293,20642426,21009854,21184064,21191595,21350619,21362654,21364349,22051613,22604368,23080349,23095924,23124494,23168530,23288536,23469420,23764733,23832072,24220349,25034048,25243613,25429914,25810973,26199603,26286734,26490749,26591595,26637374,26811081,27370996,27451793,27621149,27802236,28163304,28185149,28364368,28388414,28466849,28635773,28777947,28860893,29479313,29489180,30545213,31552349,31664093,31683717,31719953,31831649,31909914,32627035,33054964,33097900,33392033,34169873,34336349,34502753,35056913,35273283,35387016,35711128,36598084,36824849,37375649,37485713,37650749,38035553,38819054,39132833,39152442,39717480,39810393,40175019,40200014,40669827,40936349,41234222,41282108,41546356,41590013,41644433,42127400,42133853,42365312,42459773,42568349,42730891,42731153,43219133,43334296,43544093,44085053,44682165,44733149,45238795,45358094,45541649,45649313,45713176,46187153,46610050,46616849,47393325,47412254,47421149,47660976,48751083,48864353,50552880,51427323,51505022,51786173,52102276,52552203,53204222,53618598,53923072,53948513,54263896,54278155,54286554,54421373,54473873,54738328,54946013,55932060,56306333,56420625,56671649,56871990,56932349,57267614,57583576,57869213,58388573,58492349,58974440,59103556,59166113,59631773,59660864,60148059,60182000,60200033,60388531,60406433,60663456,60974174,61044130,61046883,61373656,61580619,61744913,61896004,61950353,62938603,63129149,63323822,63640349,63895649,63987316,63993854,64252733,64626850,64686616,64781523,65016593,65133786,65169149,65270813,65778653,65930849,66032273,66346245,66668222,66943649,67095293,67118472,67335374,67549793,67704750,67990531,68205149,68246388,69045363,69110333,69812573,70357947,70769328,72022659,72218400,72291895,72357473,72772443,72953249,73252956,73448849,73597373,73696349,74190749,75324833,75508281,75914849,75955934,76724095,77032960,77287073,77384849,77531453,77552220,77970833,78032059,78260222,78983625,78993533,79244404,79333649,79615494,80353995,80641853,80885054,81245700,81607133,81702907,81896093,82232849,82328993,82616536,82722368,83087128,83174222,83336573,83381236,84245153,84249200,84805022,85002963,85246013,85341149,85445764,85456334,85638091,85710928,85816349,86269330,86393983,86622353,86662080,86750274,87205900,87319576,87331613,87378833,88142307,88509713,88523755,88704254,88791713,89214173,89675822,89912290,90617693,91130513,91595873,91937774,92068914,92260334,92385149,92439552,92943603,93062664,93473019,93490495,93541649,94028125,94094993,94463249,94780350,95748113,95839649,96412804,96424794,97081454,97129330,97208849,97494840,97527293,97663649,98234523,98344349,98735259,99249149,99835553,99925649,...,22037121999962401647154514991989670189232504636529946908057954021827919209988009490172953016549859038927066509345690523895384620260128819098127687344313266644588430594447567497846120194834641974511332923077793404859979529755112369604329952562921005313586575143060391455341857573295342463180030186703903325675010646132076369680464529214371839431804366868226018785438515256086115953840542612733043999602953990573923775632981207265905762834213441405940520968284713077778566075608686976346529834729477021970520945584958014793565801541469916888635811724672810039228226291757220872702743793609230072283835543470910190159591484265539935540832096053912913717575240956677222057176302006020436969899730181350313950840644283066909830195530943982805414410067113396307324909997059277059513682716725667019542981236235244873789532724006086503317537834888536623524008428375518493169936035123533428095261864896045509919071303638100267986544144615793851736130029028561214040439352427744831988340740236660533808078682266968760986369562804032011707604111261262024436553849219562279172311886480306378353586848645994171782038452017118415999034901523590588069737386620136776230101984770445631108547539159604376976759831157369592584121356870703917987883915944492363755462365010543054776024250384026516613191291655375077106234024142601232263806032963256966632696514560614810170801999494031464957546091166636327284893345610382932560549240401159728738484337396310313892973519880469876340080349763888821287096584772126173057357651925863038941186185997029239578970279248459734921559717821443420595017911950818725599673796399685789297000855253989740706627221708451249756925420862177993141163113016760520391933381635444625446885333467195052331510569274001310958161926581155931178549059899258404450586028643982306723407807757992028401293542822441130344476298145530054457824547658777748034508334946158034470303658075665889116374602038436524191915548829434882523952888079351303618948415929508001581999923039191290654180824988527028855609412323821063320279848316184529634357308149994852475874163364589928881066879579308736708899632255243855778765377696612043551382030026065368562771931527791077533829398593490092617170215632067730812662924517869138175075057150006244083438975197127379749096400303339840482478188380592712029615055129262619549777600892059257867665455368090341539248435316716305058519741474570611450401452377978782735123383639832872395854288457584695510757243407544430704040300665828653026495211812725329839379044306444456879402011231419554822185084227223146701636786928700752983132215218517827508935380606682698919895962162617951195123274451776345644084578756460390155424536257232654787021521935649493894366132244280019262496668360745769875578253335071583172690910784912624465677298106508146307114526835526683462961897413107840568843017040978303619767046467179355445103190245796220830863000748735104992524032916867101030432675577510099128375423981697903094935804941890298676039530199121748059671354004587569138050049290484284462229486060586285134741437297403803940236584801389496817552625702215000816818446976565004582880431334949834847966686029483531685444303120303874908722903599471585464341952479700771800516708592135334584170141206049922906263312281586513529759492276006790349235712232672938008621347039762125888956093217091899750212934097509888436524690150865316902345738861474646266336332119299797393415121708116650131599868189954824497017454146675256401120403079999574356967440689689577024253727553819468849308233514611488762932281729163239051623509375613993018011118198377730007442117643835627260917130905421585298910390355295878852319312858709827010574689419716576898049391556326418391324315172787790167923039363574797331663638601415023196037385249880657960095001705576979610046709277661065624891052086446755238070657929196667161391390276761247443524464797562453026370051081209307044667392632766747467135021758945948778216245870626183405719411705537046807746874166664005738396264615660892389651779708632756983625410804112891360513870322150640797335689698228151190170269398932453432827968377163772773857919118233316647138564192201226915345148696157680531437381490357412992283045537489003176821096221945005539465305983646037518318432310215853712716043198921081700009892120991810648172369102659562750778344304582670974564570858184443412410711145974728413717670745777326159683420930018834790086660531198598275035558322780327998885369738908234646022885453899907845108184551062317212755718018768401539104149282615251210412884935215955322812670553182704128220813466066281772738974548886801960724690717837496097187779161019172552625741775286285272897350755384935155657507030105432149004475684617148274676405253793893726186190593441922082110680218099962908624019552258273408034497465608306333977593283218792089}
30115  394643000340139454041740185458140544998850963536339584994267823588988737924249686000377: {60226,240872,270981,1053605,1264326,1505150,1806180,1926592,1956305,2076141,2167416,2317469,2347566,2438343,2858645,3310670,3430374,3580829,3698733,3972804,4001837,4303013,4779381,5085041,5115470,5716910,5899012,6138564,6860292,7161182,7282022,7477221,7788389,8427160,8605454,9093333,9480555,10112592,10230260,10953124,11126270,11286375,11376666,12038800,12118613,12276312,12830069,13351524,13543650,13810851,14446560,14556305,14563076,15409664,15647320,16252380,16606037,16802981,17144733,17335872,17467566,17603235,18328670,18536056,18776784,19039205,19502856,19778822,20377469,20508422,20853063,20885421,21123882,21131477,21418941,21904792,21940713,21994404,22619045,22673534,22847046,23722910,24406805,24642891,24818822,24825075,26210901,26282054,26480080,27142854,28255460,28435814,28467492,28497521,28869905,29110670,29288166,29336775,29790090,30963639,31247237,31292560,31514781,31776096,32042894,32043981,33906552,34213745,34463909,34643886,34686741,34725041,34752795,34932804,35204130,35455460,35748108,36861475,37069648,37551072,37814222,37917509,38144871,38226917,38370596,39430101,39956061,39999029,41056494,41318705,41372375,41404766,41703354,42244956,42546552,42582621,42864134,44053841,44233770,44638910,45747605,47031044,47182688,47330501,47480909,47864871,47896037,48226574,49582446,49646850,50385629,51602635,51718469,51932945,52203256,52659250,52956640,53080524,53566692,53663942,53701949,54167870,54226436,54533621,54897126,55433534,55523621,55569617,56600789,57141470,58228581,58728663,58765454,59432966,59576220,60300021,60967637,61851333,61923162,62319534,63191100,63537521,63547968,64373501,64480862,65001444,65127845,66058613,67403840,67829870,67914893,68037141,68406062,68422910,68569764,69445454,69915075,70069604,70404113,70793117,71043941,71118381,71491464,71979470,72289469,72382072,72701237,73298093,73718050,73879445,74397269,74552654,74576080,74997062,75062513,75167381,75227500,75829320,76142981,76404629,76717070,76873949,77257533,77370005,77983277,78153414,78718853,79166813,79806333,79984145,80197412,80427897,80858270,80884608,81395844,81429831,82107492,83898090,84261374,84359057,84696686,84779957,85307985,85901421,86375364,86619221,86845048,88461660,88655334,88931921,88932173,89491296,89559221,90273000,90995184,91172837,91461261,91566195,92054609,92060484,92784341,92844006,93810596,93876773,94359104,94654694,94955462,94985733,95980974,95990781,96030212,96291200,96896429,96940275,97029924,97403813,97445726,97670608,97700679,98675294,98753777,99055505,99346037,99934982,...,29382829333283202196206019989319560252310006182039929210743938695770558946650679320230604022066478718569422012460920698527179493680171758797503583125751022192784574125930089997128160259779522632681777230770391206479972706340149826139106603417228007084782100190747188607122476764393789950906706915605204434233347528176101826240619372285829119242405822490968025047251353674781487938454056816977391999470605320765231700843974943021207683778951255207920694624379617437038088100811582635128706446305969362627361260779944019724754402055293222518181082299563746718970968389009627830270325058145640096378447391294546920212788645687386580721109461405217218290100321275569629409568402674693915959866306908467085267787525710755879773594041258643740552546756151195076433213329412369412684910288967556026057308314980326498386043632008115337756717113184715498032011237834024657559914713498044570793682486528060679892095071517467023982058859487725135648173372038081618720585803236993109317787653648880711744104909689291681315159417072042682276805481681682699248738465626083038896415848640408504471449131527992229042717936022824554665379868698120784092983182160182368306802646360594174811396718879472502635679774876492790112161809160938557317178554592656485007283153347390739701365667178702022150921722207166769474978698856801643018408043951009288843595352747486413561069332658708619943394788222181769713191127480510576747398987201546304984645783195080418523964693173959835120107133018518428382795446362834897409810202567817385254914914662705652771960372331279646562079623761924560793357215934424967466231728532914385729334473671986320942169628944601666342567227816237324188217484022347360522577842180592833929180444622926736442014092365335081277549235441541241571398746532344539267448038191976408964543743677322704535058057096588173792635064194040072610432730211703664046011113261544045960404877434221185488499469384582032255887398439246510031937184105801738158597887906010668775999897385588387538907766651369371807479216431761417760373131088246039512476410866659803301165551152786571841422506105744982278532843006991807705020503595482724735176040034753824750362575370388103378439198124653456822893620842756974416883899357158850900100076200008325444585300262836506332128533737786453976637584507456949372820073505683492733036801189412343823553940490787122052331247088955073411359655299427481933868603170638376980164511519777163194472384610112927347676324543392574272053734221104870701993615750300439785838725741925942505869348308559406429580112302964195602182382571601003977509620291357103345247174142243598559861282883490601593497699269035127525446105008613853540566048342976873049362029247532658525821509659040025683328891147661026500771004446762110896921214379883499287569730808677528409486035780702244617282529884143787425124022721304404826356061956239140593470920327728294441150667664980139990032043889156134707243567436680132171167231975597204126581073255853731568052706932162330746228472006116758850733399053979045949639314747448380179655249729871738586982113068519329090070167602953334422424595968753339443840575113266446463955581372644708913925737493738499878297204799295447285789269972934362400688944789513779445560188274733230541684416375448684706345989701342387132314282976897250678161796053016167851941457622789199666950578796679851248699586867820422536460985148632861688448442825733063191220162277488866842133157586606432662689938862233675201493870773332765809289920919586102699004970071759291799077644686148651683909708972217652068831345834151990690681490931170306676589490191780836347889507873895447065213853807061171803092417144946436014099585892955435864065855408435224521765753563717053557230719151433063108884851468553364261383180333174210613460002274102639480062279036881420833188069448595673650760877238928889548521853702348329924699286396749937368493401441612409392889856843688996622846695678594598370954994494168244540959215607382729076995832222218674317861686154214523186202372944843675978167214405483855147351827096200854396447586264304201586893692531909937910437291169551697031810558824311088862851418922934969220460198261543574041916508653809883989710727383318670902428128295926674052620407978194716691091243080287804950288057598561442266679856161322414197563158803546083667704459072776894632752761144245924549880948194632971218290227661036434879577894573358446386782214041598131033380744430373770665180492985210979528030513938533210460144246068083089617007624025024535385472199043487001613883846580287940430416894070910272170961084621421709030318632731849069280966254290449994796250372214692230070167655700381713697196467673846580207543342706807242865339300912822864366235207005058524968248254124589229442814240290799950544832026069677697877379329954144408445303457710958389452}
30116  395867688691718597289979643169653122771042060814702923578180443486039231183187722226239: {90339,210763,301090,361308,391339,571843,662266,1023298,1384186,1685768,1896489,2257725,2408240,2586106,2709270,2768188,2889888,3091339,3130088,3251124,3521349,3808603,4026298,4573832,4703563,4931644,4966005,5145561,5297072,5953483,5959206,6062626,6182266,6372508,7373765,7673205,7855546,8184752,8442739,8575365,8848518,9147056,9207846,9328339,9969628,10002298,10290438,10533950,10741773,10923033,11549506,11787298,12124444,12640740,12787825,12852739,12908181,13483456,13691405,13924546,14398786,14429323,14991226,15048500,15168888,15345390,15701626,16174243,16219049,16368416,16429686,16529698,16689405,16766146,17064999,17802032,18058200,18203845,18414468,18537466,18951139,19166693,19262080,19559150,19815139,20027286,20315475,21011266,21365803,21537739,21669840,21844614,22186786,22567843,22859644,23114496,23170070,23290088,23470980,23595298,24278923,24378570,25035712,25586746,26003808,26201349,26288506,26492563,27340723,27380990,27493005,27804084,27847228,28165176,28558588,29254284,29325872,29668233,29788666,30211003,30462728,30762633,31685823,31722139,31997986,32346298,32435942,32857188,32991606,33100100,34010301,34085698,34270569,34664698,34947868,35319325,35584365,35723323,36054883,36168226,36190472,36882523,37207546,37228233,37543339,37784386,37956656,38203003,38936866,39050888,39115700,39423081,39720120,39857698,40662586,40714281,40993723,41284852,41484043,41647339,41810563,42019708,42368128,42383190,42625603,42653721,42701238,42725308,42728698,43666005,43932249,44088139,44103226,44319325,44685135,44736283,45059923,45208736,45677849,46160698,46191848,46248988,46337060,46577072,46938840,47478043,47529466,47664144,47963245,48064341,48440698,48921139,50068096,50487226,50859828,51621946,51965829,52399206,52573468,52806195,52981498,53183190,53274748,53622162,54477739,54741992,54903586,55242298,55604472,56049139,56326608,56370298,56675683,56721333,56728736,56776828,56933698,56988523,57271546,57555894,57721786,58548403,58788805,58958626,58978360,61090426,61584741,62107149,62555031,63104698,63184843,63328186,63334313,63367434,63439906,63663298,63798139,63819828,64296201,65254070,65935603,66087739,66109928,66195800,66350655,66784066,66958365,67783045,68339746,68672698,69005506,70113826,70546566,70774032,71422256,72339861,73008163,73196168,73649698,73751203,74196163,74373669,74470275,74492443,74751298,74971426,75231883,75301498,75989417,76071106,77292739,77638108,77878963,78265666,78304884,78988875,79434960,79620786,80350038,80400028,80495913,81251805,81339654,81872698,82345689,82468444,82527283,82564216,83092712,83150301,83180026,83288866,83687593,84254800,84267706,84730624,84919546,85136698,85252339,85395043,85461782,85462306,85712205,86438266,86668592,87088186,87385339,87587005,88148181,88170106,89149449,89364330,89466298,90477590,90716188,91083298,91298626,91426352,91602739,92374306,92438443,92884743,93220100,93233698,93479301,94034375,94516363,94786650,94824508,94842298,95321952,95595709,96304123,96557981,96721293,97502166,97728706,97943563,99301843,...,44074243999924803294309029983979340378465009273059893816115908043655838419976018980345906033099718077854133018691381047790769240520257638196255374688626533289176861188895134995692240389669283949022665846155586809719959059510224739208659905125842010627173150286120782910683715146590684926360060373407806651350021292264152739360929058428743678863608733736452037570877030512172231907681085225466087999205907981147847551265962414531811525668426882811881041936569426155557132151217373952693059669458954043941041891169916029587131603082939833777271623449345620078456452583514441745405487587218460144567671086941820380319182968531079871081664192107825827435150481913354444114352604012040873939799460362700627901681288566133819660391061887965610828820134226792614649819994118554119027365433451334039085962472470489747579065448012173006635075669777073247048016856751036986339872070247066856190523729792091019838142607276200535973088289231587703472260058057122428080878704855489663976681480473321067616157364533937521972739125608064023415208222522524048873107698439124558344623772960612756707173697291988343564076904034236831998069803047181176139474773240273552460203969540891262217095078319208753953519662314739185168242713741407835975767831888984727510924730021086109552048500768053033226382583310750154212468048285202464527612065926513933265393029121229620341603998988062929915092182333272654569786691220765865121098480802319457476968674792620627785947039760939752680160699527777642574193169544252346114715303851726077882372371994058479157940558496919469843119435642886841190035823901637451199347592799371578594001710507979481413254443416902499513850841724355986282326226033521040783866763270889250893770666934390104663021138548002621916323853162311862357098119798516808901172057287964613446815615515984056802587085644882260688952596291060108915649095317555496069016669892316068940607316151331778232749204076873048383831097658869765047905776158702607237896831859016003163999846078382581308361649977054057711218824647642126640559696632369059268714616299989704951748326729179857762133759158617473417799264510487711557530755393224087102764060052130737125543863055582155067658797186980185234340431264135461625325849035738276350150114300012488166877950394254759498192800606679680964956376761185424059230110258525239099555201784118515735330910736180683078496870633432610117039482949141222900802904755957565470246767279665744791708576915169391021514486815088861408080601331657306052990423625450659678758088612888913758804022462839109644370168454446293403273573857401505966264430437035655017870761213365397839791924325235902390246548903552691288169157512920780310849072514465309574043043871298987788732264488560038524993336721491539751156506670143166345381821569825248931354596213016292614229053671053366925923794826215681137686034081956607239534092934358710890206380491592441661726001497470209985048065833734202060865351155020198256750847963395806189871609883780597352079060398243496119342708009175138276100098580968568924458972121172570269482874594807607880473169602778993635105251404430001633636893953130009165760862669899669695933372058967063370888606240607749817445807198943170928683904959401543601033417184270669168340282412099845812526624563173027059518984552013580698471424465345876017242694079524251777912186434183799500425868195019776873049380301730633804691477722949292532672664238599594786830243416233300263199736379909648994034908293350512802240806159999148713934881379379154048507455107638937698616467029222977525864563458326478103247018751227986036022236396755460014884235287671254521834261810843170597820780710591757704638625717419654021149378839433153796098783112652836782648630345575580335846078727149594663327277202830046392074770499761315920190003411153959220093418555322131249782104172893510476141315858393334322782780553522494887048929595124906052740102162418614089334785265533494934270043517891897556432491741252366811438823411074093615493748333328011476792529231321784779303559417265513967250821608225782721027740644301281594671379396456302380340538797864906865655936754327545547715838236466633294277128384402453830690297392315361062874762980714825984566091074978006353642192443890011078930611967292075036636864620431707425432086397842163400019784241983621296344738205319125501556688609165341949129141716368886824821422291949456827435341491554652319366841860037669580173321062397196550071116645560655997770739477816469292045770907799815690216369102124634425511436037536803078208298565230502420825769870431910645625341106365408256441626932132563545477949097773603921449381435674992194375558322038345105251483550572570545794701510769870311315014060210864298008951369234296549352810507587787452372381186883844164221360436199925817248039104516546816068994931216612667955186566437584178}
30117  397096155485800428630435299158465410218573673528039182446984991189085519214330365923367: {120452,451635,481744,541962,993399,1475047,1534947,2076279,2107210,2528652,2738827,3010300,3460235,3612360,3853184,3879159,3912610,4002103,4063905,4152282,4334832,4634938,4695132,4876686,5085379,5626643,5717290,6039447,6164555,6621340,6860748,7161658,7397466,7945608,7965635,8003674,8606026,8938809,9093939,9273399,9558762,10170082,10230940,11433820,11783319,11798024,12277128,12462035,13272777,13720584,13811769,14322364,14564044,14825003,14954442,15003447,15155555,15435657,15540503,15576778,15800925,15907559,16854320,17210908,17324259,17680947,18186666,18810625,18961110,19500503,20225184,20378827,20460520,20886819,20951123,21598179,21906248,22252540,22486839,22572750,22753332,23018085,23552439,24077600,24237226,24552624,24644529,24794547,25149219,25279619,25660138,26654887,26703048,27072347,27087300,27621702,27806199,28574555,28893120,29112610,29126152,29338725,30040929,30819328,31294640,31516899,31666663,32480807,32504760,32766921,33212074,33280179,33605962,34169527,34289466,34671744,34755105,34809035,34935132,35206470,35392947,35698235,35725883,36245003,36567855,36657340,37072112,37553568,38078410,38380119,39005712,39432759,39557644,40417867,40754938,41016844,41071485,41375125,41706126,41770842,42247764,42262954,42837882,43684835,43809584,43881426,43988808,44682999,45238090,45347068,45406643,45694092,47445820,47899243,47996979,48519447,48653913,48813610,48894625,49285782,49487409,49637644,49650150,51128547,51379619,51606065,51997047,52421802,52524635,52564108,52960160,53406635,54252339,54285708,55811319,56510920,56676579,56871628,56934984,56995042,57290999,57739810,57811235,57846187,57865883,57921325,58221340,58405299,58576332,58673550,58926263,59580180,59786547,60993879,61121827,61927278,62107219,62494474,62585120,63029562,63552192,63574785,64046647,64051857,64085788,64087962,64093047,65716835,66154839,66593435,67813104,67919419,68427490,68927818,69241047,69287772,69373482,69450082,69505590,69865608,70408260,70910920,70971035,71294199,71496216,72243689,72661047,72706123,73722950,74139296,74402227,74607863,75102144,75628444,75730839,75835018,76289742,76453834,76564499,76741192,77432919,78520343,78598809,78724099,78860202,79121719,79472247,79774785,79912122,79998058,80433243,82112988,82355379,82637410,82744750,82809532,82863447,83220503,83406708,84300899,84489912,84555447,85093104,85165242,85400547,85728268,85907319,85917943,86333841,86582679,86625019,88015307,88107682,88287683,88437939,88467540,89277820,90176923,91049603,91178983,91495210,91635639,93560779,94062088,94365376,94657047,94661002,94961818,94992279,95051151,95159859,95494947,95729742,95735719,95792074,96453148,97047635,97881105,99164892,99293700,...,66111365999887204941463544975969010567697513909589840724173862065483757629964028470518859049649577116781199528037071571686153860780386457294383062032939799933765291783342702493538360584503925923533998769233380214579938589265337108812989857688763015940759725429181174366025572719886027389540090560111709977025031938396229109041393587643115518295413100604678056356315545768258347861521627838199131998808861971721771326898943621797717288502640324217821562904854139233335698226826060929039589504188431065911562836754874044380697404624409750665907435174018430117684678875271662618108231380827690216851506630412730570478774452796619806622496288161738741152725722870031666171528906018061310909699190544050941852521932849200729490586592831948416243230201340188921974729991177831178541048150177001058628943708705734621368598172018259509952613504665609870572025285126555479509808105370600284285785594688136529757213910914300803959632433847381555208390087085683642121318057283234495965022220709981601424236046800906282959108688412096035122812333783786073309661547658686837516935659440919135060760545937982515346115356051355247997104704570771764209212159860410328690305954311336893325642617478813130930279493472108777752364070612111753963651747833477091266387095031629164328072751152079549839573874966125231318702072427803696791418098889770899898089543681844430512405998482094394872638273499908981854680036831148797681647721203479186215453012188930941678920559641409629020241049291666463861289754316378519172072955777589116823558557991087718736910837745379204764679153464330261785053735852456176799021389199057367891002565761969222119881665125353749270776262586533979423489339050281561175800144906333876340656000401585156994531707822003932874485779743467793535647179697775213351758085931946920170223423273976085203880628467323391033428894436590163373473642976333244103525004838474103410910974226997667349123806115309572575746646488304647571858664238053910856845247788524004745999769117573871962542474965581086566828236971463189960839544948553588903071924449984557427622490093769786643200638737926210126698896765731567336296133089836130654146090078196105688315794583373232601488195780470277851510646896203192437988773553607414525225171450018732250316925591382139247289200910019521447434565141778136088845165387787858649332802676177773602996366104271024617745305950148915175559224423711834351204357133936348205370150919498617187562865372754086532271730222633292112120901997485959079485635438175989518137132919333370638206033694258664466555252681669440104910360786102258949396645655553482526806141820048096759687886487853853585369823355329036932253736269381170466273608771697964361064565806948481683098396732840057787490005082237309626734760005214749518072732354737873397031894319524438921343580506580050388885692239323521706529051122934910859301139401538066335309570737388662492589002246205314977572098750601303091298026732530297385126271945093709284807414825670896028118590597365244179014062013762707414150147871452853386688458181758855404224311892211411820709754404168490452657877106645002450455340929695013748641294004849504543900058088450595056332909360911624726168710798414756393025857439102315401550125776406003752510423618149768718789936844759540589278476828020371047707136698018814025864041119286377666868279651275699250638802292529665309574070452595950707037216584423938799008996357899392180245365124349950394799604569864473491052362440025769203361209239998723070902322069068731072761182661458406547924700543834466288796845187489717154870528126841979054033354595133190022326352931506881782751392716264755896731171065887636556957938576129481031724068259149730694148174668979255173972945518363370503769118090724391994990915804245069588112155749641973880285005116730938830140127832983196874673156259340265714211973787590001484174170830283742330573394392687359079110153243627921134002177898300242401405065276837846334648737611878550217158235116611140423240622499992017215188793846982677168955339125898270950876232412338674081541610966451922392007069094684453570510808196797360298483905131491318321573757354699949941415692576603680746035446088473041594312144471072238976849136612467009530463288665835016618395917950938112554955296930647561138148129596763245100029676362975431944517107307978688252335032913748012923693712574553330237232133437924185241153012237331978479050262790056504370259981593595794825106674968340983996656109216724703938068656361699723535324553653186951638267154056305204617312447847845753631238654805647865968438011659548112384662440398198845318216923646660405882174072153512488291563337483057517657877225325858855818692052266154805466972521090316296447013427053851444824029215761381681178558571780325766246332040654299888725872058656774820224103492396824919001932779849656376267}
30118  398328412311867716982408364197212365506577359513515940877695316255847708361758428606428: {150565,180678,421526,602180,722616,782678,812943,872581,1143686,1324532,1413337,1773481,2046596,2133337,2672581,2768372,3160815,3211177,3371536,3762875,3792978,4515450,4816480,5172212,5418540,5536376,5716057,5779776,5868915,5894437,6182678,6228423,6260176,6502248,6952407,7042698,7141081,7315029,7496617,7617206,8052596,8276675,8384197,8575935,9147664,9407126,9863288,9932010,10291122,10323271,10594144,10683481,10742487,11096199,11906966,11916517,11918412,12005511,12125252,12364532,12745016,12788675,12909039,13321381,14292275,14338143,14747530,15255123,15346410,15711092,16369504,16885478,17150730,17334697,17697036,17902955,18202117,18205055,18294112,18415692,18656678,19167967,19939256,20004596,20580876,21067900,21137881,21483546,21513635,21846066,22431663,23099012,23365167,23574596,24052837,24248888,25281480,25485383,25575650,25705478,25816362,25927897,26607577,26966912,27279999,27382810,27815675,27849092,28301737,28441665,28797572,28858646,29982452,30097000,30337776,30690780,31403252,31668457,31836037,32170981,32348486,32438098,32736832,32859372,33059396,33378810,33532292,33859125,34129998,35172517,35604064,36116400,36333481,36355839,36407690,36828936,37074932,37490917,37902278,38333386,38490207,38524160,39118300,39302617,39630278,40054572,40630950,41432553,42022532,42574297,42731606,42899881,43075478,43225177,43339680,43668915,43689228,44373572,44523481,44847337,45135686,45655717,45719288,45821675,46139881,46228992,46340140,46580176,46941960,47190596,48550981,48557846,48757140,49447055,49818111,50071424,50408943,51173492,51263977,51271055,51434199,52007616,52402698,52577012,52809705,52985126,53324581,53798377,54681446,54761980,54986010,55608168,55694456,56330352,56683835,57117176,57117615,58500697,58508568,58651744,58811881,59307275,59336466,59577332,60422006,60925456,61132407,61525266,62047055,62559189,62656263,63138217,63371646,63394431,63444278,63995972,64210981,64256823,64692596,64871884,64975081,65280217,65705135,65714376,65822139,65983212,66041797,66200200,66953317,67148543,67857135,68020602,68171396,68541138,69329396,69895736,70638650,71023081,71089535,71168730,71322457,71446646,71770981,72109766,72336452,72380944,72776675,73220415,73707097,73765046,73928673,74300377,74415092,74456466,74475225,75086678,75568772,75913312,76220581,76406006,76955881,77396197,77873732,78101776,78231400,78421081,78632703,78846162,79440240,79588057,79715396,79879081,80107235,81325172,81428562,81619177,81987446,82304327,82341157,82569704,82968086,83294678,83621126,84039416,84639397,84736256,84766380,85251206,85307442,85353817,85402476,85450616,85457396,85492563,85924057,86609715,87332010,87486277,87864498,88010325,88176278,88206452,88638650,89370270,89472566,89883481,90119846,90417472,90584581,91004377,91355698,91981381,92321396,92383696,92497976,92674120,92890917,92954857,93154144,93741711,93786457,93877680,94477477,94535555,94544343,94896263,94956086,95058932,95328288,95854117,95926490,96128682,96131943,96813481,96881396,97769317,97842278,98177881,98903519,99128677,99535081,99940837,...,88148487999849606588618059967958680756930018546119787632231816087311676839952037960691812066199436155708266037382762095581538481040515276392510749377253066578353722377790269991384480779338567898045331692311173619439918119020449478417319810251684021254346300572241565821367430293181369852720120746815613302700042584528305478721858116857487357727217467472904075141754061024344463815362170450932175998411815962295695102531924829063623051336853765623762083873138852311114264302434747905386119338917908087882083782339832059174263206165879667554543246898691240156912905167028883490810975174436920289135342173883640760638365937062159742163328384215651654870300963826708888228705208024081747879598920725401255803362577132267639320782123775931221657640268453585229299639988237108238054730866902668078171924944940979495158130896024346013270151339554146494096033713502073972679744140494133712381047459584182039676285214552401071946176578463175406944520116114244856161757409710979327953362960946642135232314729067875043945478251216128046830416445045048097746215396878249116689247545921225513414347394583976687128153808068473663996139606094362352278949546480547104920407939081782524434190156638417507907039324629478370336485427482815671951535663777969455021849460042172219104097001536106066452765166621500308424936096570404929055224131853027866530786058242459240683207997976125859830184364666545309139573382441531730242196961604638914953937349585241255571894079521879505360321399055555285148386339088504692229430607703452155764744743988116958315881116993838939686238871285773682380071647803274902398695185598743157188003421015958962826508886833804999027701683448711972564652452067042081567733526541778501787541333868780209326042277096005243832647706324623724714196239597033617802344114575929226893631231031968113605174171289764521377905192582120217831298190635110992138033339784632137881214632302663556465498408153746096767662195317739530095811552317405214475793663718032006327999692156765162616723299954108115422437649295284253281119393264738118537429232599979409903496653458359715524267518317234946835598529020975423115061510786448174205528120104261474251087726111164310135317594373960370468680862528270923250651698071476552700300228600024976333755900788509518996385601213359361929912753522370848118460220517050478199110403568237031470661821472361366156993741266865220234078965898282445801605809511915130940493534559331489583417153830338782043028973630177722816161202663314612105980847250901319357516177225777827517608044925678219288740336908892586806547147714803011932528860874071310035741522426730795679583848650471804780493097807105382576338315025841560621698145028930619148086087742597975577464528977120077049986673442983079502313013340286332690763643139650497862709192426032585228458107342106733851847589652431362275372068163913214479068185868717421780412760983184883323452002994940419970096131667468404121730702310040396513501695926791612379743219767561194704158120796486992238685416018350276552200197161937137848917944242345140538965749189615215760946339205557987270210502808860003267273787906260018331521725339799339391866744117934126741777212481215499634891614397886341857367809918803087202066834368541338336680564824199691625053249126346054119037969104027161396942848930691752034485388159048503555824372868367599000851736390039553746098760603461267609382955445898585065345328477199189573660486832466600526399472759819297988069816586701025604481612319998297427869762758758308097014910215277875397232934058445955051729126916652956206494037502455972072044472793510920029768470575342509043668523621686341195641561421183515409277251434839308042298757678866307592197566225305673565297260691151160671692157454299189326654554405660092784149540999522631840380006822307918440186837110644262499564208345787020952282631716786668645565561107044989774097859190249812105480204324837228178669570531066989868540087035783795112864983482504733622877646822148187230987496666656022953585058462643569558607118834531027934501643216451565442055481288602563189342758792912604760681077595729813731311873508655091095431676472933266588554256768804907661380594784630722125749525961429651969132182149956012707284384887780022157861223934584150073273729240863414850864172795684326800039568483967242592689476410638251003113377218330683898258283432737773649642844583898913654870682983109304638733683720075339160346642124794393100142233291121311995541478955632938584091541815599631380432738204249268851022872075073606156416597130461004841651539740863821291250682212730816512883253864265127090955898195547207842898762871349984388751116644076690210502967101145141091589403021539740622630028120421728596017902738468593098705621015175574904744762373767688328442720872399851634496078209033093632137989862433225335910373132875168356}
30119  399564470794744108465368519541020531564568094278953437112599224102457945338188362495176: {30119,240904,271017,632289,752725,903270,963488,1083924,1174017,1655665,1715529,1986798,2558245,2950094,3069894,3460465,3641737,4152558,4214420,4844329,5057304,5477654,5627017,5689467,6020600,6288601,6465265,6649669,6773175,6920470,7224720,7706368,7758318,7825220,8004206,8127810,8304564,8630377,8669664,9269876,9274017,9390264,9753372,10065745,10170758,10564047,11151889,11253286,11425809,11434580,12078894,12238897,12329110,13242680,13721496,14110689,14323316,14794932,14898015,15156565,15436683,15455665,15847417,15891216,15931270,16007348,16569121,17212052,17446849,17860449,17877618,18187878,18366049,18546798,19117524,19638865,20161537,20340164,20461880,21217777,21973129,22121295,22867640,23019615,23046049,23415961,23566638,23596048,24554256,24924070,25005745,25328217,25580209,25726095,26095201,26334875,26545554,27023041,27441168,27623538,27985017,28644728,28873765,29128088,29468245,29650006,29908884,30006894,30257329,30311110,30871314,31081006,31153556,31601850,31815118,32021737,32225319,32769099,33708640,34421816,34648518,34811365,35361894,35996965,36373332,37265989,37468609,37478065,37621250,37922220,38189737,38363475,38558217,38724543,39001006,39254065,40004377,40450368,40509121,40757654,40921040,41074215,41324245,41773638,41902246,41915365,43196358,43287969,43812496,44505080,44973678,45145500,45409669,45506664,46036170,46274689,46343665,47104878,48155200,48474452,48522729,48657147,48732649,48897875,49102801,49105248,49289058,49589094,49977529,50068215,50298438,50559238,50748601,51194997,51320276,52528165,53121301,53309774,53406096,54144694,54174600,54611535,54923041,55243404,55466965,55612398,56853417,57149110,57294817,57500079,57608869,57786240,57925175,58225220,58252304,58677450,58886869,58988245,59445417,59584657,60081858,60688609,60946425,61158769,61638656,62589280,62855617,63033798,63333326,63966865,64097409,64613217,64961614,65009520,65533842,65721265,66424148,66560358,67211924,67703529,68339054,68452475,68578932,68755201,69343488,69510210,69618070,69640129,69870264,70412940,70785894,71396470,71451766,72248491,72490006,72836769,73135710,73314680,73534489,73802929,74144224,74471665,74612857,74769289,75107136,75265201,76156820,76760238,77925817,78011424,78604047,78838897,78865518,79115288,79177417,79477689,79994965,80835734,80865745,80935729,81089855,81509876,82022169,82033688,82142970,82440217,82479015,82750250,83226049,83412252,83541684,84306517,84388777,84495528,84525908,85214245,85675764,86041537,86661745,87369670,87619168,87762852,87837781,87977616,88172929,88944097,89004699,89365998,90420565,90476180,90485317,90633009,90694136,90813286,91388184,92003569,92066917,92287899,92796769,93018865,93037249,93230809,94400809,94460965,94891640,95057469,95166417,95798486,95993958,97038894,97307826,97342165,97627220,97789250,98370049,98571564,98974818,99275288,99300300,99359449,99644245,...,132222731999774409882927089951938021135395027819179681448347724130967515259928056941037718099299154233562399056074143143372307721560772914588766124065879599867530583566685404987076721169007851847067997538466760429159877178530674217625979715377526031881519450858362348732051145439772054779080181120223419954050063876792458218082787175286231036590826201209356112712631091536516695723043255676398263997617723943443542653797887243595434577005280648435643125809708278466671396453652121858079179008376862131823125673509748088761394809248819501331814870348036860235369357750543325236216462761655380433703013260825461140957548905593239613244992576323477482305451445740063332343057812036122621819398381088101883705043865698401458981173185663896832486460402680377843949459982355662357082096300354002117257887417411469242737196344036519019905227009331219741144050570253110959019616210741200568571571189376273059514427821828601607919264867694763110416780174171367284242636114566468991930044441419963202848472093601812565918217376824192070245624667567572146619323095317373675033871318881838270121521091875965030692230712102710495994209409141543528418424319720820657380611908622673786651285234957626261860558986944217555504728141224223507927303495666954182532774190063258328656145502304159099679147749932250462637404144855607393582836197779541799796179087363688861024811996964188789745276546999817963709360073662297595363295442406958372430906024377861883357841119282819258040482098583332927722579508632757038344145911555178233647117115982175437473821675490758409529358306928660523570107471704912353598042778398114735782005131523938444239763330250707498541552525173067958846978678100563122351600289812667752681312000803170313989063415644007865748971559486935587071294359395550426703516171863893840340446846547952170407761256934646782066857788873180326746947285952666488207050009676948206821821948453995334698247612230619145151493292976609295143717328476107821713690495577048009491999538235147743925084949931162173133656473942926379921679089897107177806143848899969114855244980187539573286401277475852420253397793531463134672592266179672261308292180156392211376631589166746465202976391560940555703021293792406384875977547107214829050450342900037464500633851182764278494578401820039042894869130283556272177690330775575717298665605352355547205992732208542049235490611900297830351118448847423668702408714267872696410740301838997234375125730745508173064543460445266584224241803994971918158971270876351979036274265838666741276412067388517328933110505363338880209820721572204517898793291311106965053612283640096193519375772975707707170739646710658073864507472538762340932547217543395928722129131613896963366196793465680115574980010164474619253469520010429499036145464709475746794063788639048877842687161013160100777771384478647043413058102245869821718602278803076132670619141474777324985178004492410629955144197501202606182596053465060594770252543890187418569614829651341792056237181194730488358028124027525414828300295742905706773376916363517710808448623784422823641419508808336980905315754213290004900910681859390027497282588009699009087800116176901190112665818721823249452337421596829512786051714878204630803100251552812007505020847236299537437579873689519081178556953656040742095414273396037628051728082238572755333736559302551398501277604585059330619148140905191901414074433168847877598017992715798784360490730248699900789599209139728946982104724880051538406722418479997446141804644138137462145522365322916813095849401087668932577593690374979434309741056253683958108066709190266380044652705863013763565502785432529511793462342131775273113915877152258962063448136518299461388296349337958510347945891036726741007538236181448783989981831608490139176224311499283947760570010233461877660280255665966393749346312518680531428423947575180002968348341660567484661146788785374718158220306487255842268004355796600484802810130553675692669297475223757100434316470233222280846481244999984034430377587693965354337910678251796541901752464824677348163083221932903844784014138189368907141021616393594720596967810262982636643147514709399899882831385153207361492070892176946083188624288942144477953698273224934019060926577331670033236791835901876225109910593861295122276296259193526490200059352725950863889034214615957376504670065827496025847387425149106660474464266875848370482306024474663956958100525580113008740519963187191589650213349936681967993312218433449407876137312723399447070649107306373903276534308112610409234624895695691507262477309611295731936876023319096224769324880796397690636433847293320811764348144307024976583126674966115035315754450651717711637384104532309610933945042180632592894026854107702889648058431522763362357117143560651532492664081308599777451744117313549640448206984793649838003865559699312752534}
30120  400804342594701266174290133381206763340459592244888548120019783786980609155727406124639: {210791,301130,331199,361356,511751,692231,843052,872639,932759,1204360,1354905,1445232,1565356,1625886,1745162,1833599,2193431,2287372,2649064,2826674,2980197,3211391,3271199,3546962,3928559,4093192,4107671,4266674,4425141,4604841,5180831,5268025,5345162,5536744,5775911,5954279,6228837,6321630,6422354,6743072,7141559,7200839,7525750,7585956,7674791,8029919,8216481,8443871,9030900,9447551,9632960,9781525,9860159,10344424,10380705,10684199,10837080,10919351,11072752,11271839,11432114,11559552,11587345,11637477,11737830,11788874,11800031,12006309,12191715,12365356,12456846,12520352,13004496,13322279,13555991,13904814,14085396,14198039,14282162,14293225,14431271,14547839,14630058,14993234,15071999,15234412,15256137,15421079,16105192,16176431,16553350,16768394,16879929,17151870,17509511,17904145,18118341,18261119,18295328,18493665,18814252,19069031,19726576,19864020,19932911,20009185,20105471,20335439,20582244,20646542,20852399,21139319,21188288,21366962,21484974,21515065,21540671,22192398,22227791,22685231,23085071,23712599,23813932,23833034,23836824,23896905,24011022,24111431,24250504,24729064,25064137,25425205,25487077,25490032,25577350,25646111,25818078,26609399,26642762,26816427,26835719,27118439,27281817,27457439,27626831,27796151,27820197,28190951,28584550,28641671,28676286,28866839,29035631,29495060,29653919,30119089,30510246,30692820,30831599,31422184,31558871,31726511,31838231,32005751,32739008,33770956,33899279,34301460,34343471,34509911,34669394,35349957,35394072,35805910,36059879,36404234,36410110,36588224,36831384,36832511,36997871,37313356,37386105,37548551,37658591,38208311,38335934,38941945,39140999,39305351,39818331,39878512,40009192,40453799,40835831,41108471,41161752,41435307,41598719,41816399,42135800,42142679,42275762,42631559,42740111,42902879,42967092,43027270,43553231,43692132,44256479,44475009,44850479,44863326,45010341,45066239,45174071,45466665,45820391,46196879,46198024,46306971,46358111,46621509,46730334,47149192,47163191,47402775,47722677,48105674,48497776,48554399,49194671,50562960,50970766,51002519,51151300,51267599,51410956,51585431,51632724,51797159,51855794,51972777,53042841,53215154,53644319,53933824,54559998,54765620,55631350,55698184,56161631,56431875,56527199,56603474,56883330,57257159,57595144,57717292,57881591,58037519,58501509,58556759,59799671,59964904,60194000,60212951,60593065,60675552,60883439,61136481,61381560,61501151,62374271,62660457,62806504,62853369,63193919,63296231,63336914,63672074,63807311,63909431,64150345,64266599,64341962,64696972,64794537,64876196,65030639,65183231,65437391,65473664,65718744,65792879,65945111,66046559,66097271,66118792,66757620,67064584,67109831,67460517,67715831,67718250,68219951,68259996,68371031,69054255,69125351,69225877,70028159,70345034,70657317,71028239,71208128,71327639,71377511,71779477,72232800,72373271,72666962,72711678,72781525,72815380,73117991,73316279,73613471,73657872,73761959,73860911,73933587,74149864,74305799,74355191,74383641,74981834,75341351,75447657,75804556,75838857,76275239,76666772,76980414,77048320,77401871,77548511,77987999,78236600,78426839,78605234,79156799,79260556,79357369,79964661,80109144,81217041,81261900,81625199,82827599,82865106,83030185,83418597,83498759,83977199,84014905,84045064,85148594,85360151,85407719,85463212,85723665,85799762,86150956,86450354,86546951,86679360,86831039,86865877,87337830,87378456,87492791,87539999,87823079,88016175,88482479,88670591,88747144,88952519,89046962,89515511,89694674,89936999,90122787,90271372,90591359,90638039,91011191,91311434,91438576,91616471,91643350,91987189,92279762,92457984,92680280,93160352,93839639,93883920,94254431,94381192,94530599,94550697,94999989,95036159,95196025,95632391,95998631,96181559,97094279,97101962,97115692,97442421,97514280,97685831,98300763,98366711,98502671,98894110,99525349,99636222,99840537,...,198334097999661614824390634927907031703092541728769522172521586196451272889892085411556577148948731350343598584111214715058461582341159371883149186098819399801295875350028107480615081753511777770601996307700140643739815767796011326438969573066289047822279176287543523098076718159658082168620271680335129931075095815188687327124180762929346554886239301814034169068946637304775043584564883514597395996426585915165313980696830865393151865507920972653464688714562417700007094680478182787118768512565293197734688510264622133142092213873229251997722305522055290353054036625814987854324694142483070650554519891238191711436323358389859419867488864485216223458177168610094998514586718054183932729097571632152825557565798547602188471759778495845248729690604020566765924189973533493535623144450531003175886831126117203864105794516054778529857840513996829611716075855379666438529424316111800852857356784064409589271641732742902411878897301542144665625170261257050926363954171849703487895066662129944804272708140402718848877326065236288105368437001351358219928984642976060512550806978322757405182281637813947546038346068154065743991314113712315292627636479581230986070917862934010679976927852436439392790838480416326333257092211836335261890955243500431273799161285094887492984218253456238649518721624898375693956106217283411090374254296669312699694268631045533291537217995446283184617914820499726945564040110493446393044943163610437558646359036566792825036761678924228887060723147874999391583869262949135557516218867332767350470675673973263156210732513236137614294037460392990785355161207557368530397064167597172103673007697285907666359644995376061247812328787759601938270468017150844683527400434719001629021968001204755470983595123466011798623457339230403380606941539093325640055274257795840760510670269821928255611641885401970173100286683309770490120420928928999732310575014515422310232732922680993002047371418345928717727239939464913942715575992714161732570535743365572014237999307352721615887627424896743259700484710914389569882518634845660766709215773349953672282867470281309359929601916213778630380096690297194702008888399269508391962438270234588317064947383750119697804464587341410833554531940688609577313966320660822243575675514350056196750950776774146417741867602730058564342303695425334408266535496163363575947998408028533320808989098312813073853235917850446745526677673271135503053613071401809044616110452758495851562688596118262259596815190667899876336362705992457877238456906314527968554411398758000111914618101082775993399665758045008320314731082358306776848189936966660447580418425460144290279063659463561560756109470065987110796761208808143511398820826315093893083193697420845445049295190198520173362470015246711928880204280015644248554218197064213620191095682958573316764030741519740151166657076717970565119587153368804732577903418204614199005928712212165987477767006738615944932716296251803909273894080197590892155378815835281127854422244477012688084355771792095732537042186041288122242450443614358560160065374545276566212672935676634235462129263212505471357973631319935007351366022789085041245923882014548513631700174265351785168998728082734874178506132395244269179077572317306946204650377329218011257531270854449306156369810534278621767835430484061113143121410094056442077592123357859133000604838953827097751916406877588995928722211357787852121111649753271816397026989073698176540736095373049851184398813709593420473157087320077307610083627719996169212706966207206193218283547984375219643774101631503398866390535562469151464611584380525937162100063785399570066979058794520645348254178148794267690193513197662909670873815728388443095172204777449192082444524006937765521918836555090111511307354272173175984972747412735208764336467248925921640855015350192816490420383498949590624019468778020797142635921362770004452522512490851226991720183178062077237330459730883763402006533694900727204215195830513539003946212835635650651474705349833421269721867499976051645566381540948031506866017377694812852628697237016022244624832899355767176021207284053360711532424590392080895451715394473954964721272064099849824247077729811042238106338265419124782936433413216716930547409837401028591389865997505049855187753852814337664865890791942683414444388790289735300089029088926295833551321923936064757005098741244038771081137723659990711696400313772555723459036711995935437150788370169513110779944780787384475320024905022951989968327650174111814205969085099170605973660959560854914801462168915613851937343543537260893715964416943597905314034978644337153987321194596535954650770939981217646522216460537464874690012449172552973631675977576567456076156798464416400917563270948889341040281161554334472087647284145043535675715340977298738996121962899666177616175970324460672310477190474757005798339548969128801}
30121  402048039407566332865696183236969000678941718111799607859645338802260736818119400876885: {60238,451695,481808,542034,1053815,1264578,1505450,1806540,1926976,1956695,2167848,2317931,2348034,2438829,2617743,2859215,3311330,3431058,3581543,3973596,4240011,4303871,4844651,5116490,5320443,5900188,6139788,6289019,6400011,6650111,6920930,7283474,7431983,8017743,8305116,8428840,9051371,9482445,9633531,9688658,10114608,10955308,11254034,11288625,11378934,12041200,12577202,12930530,13299338,13546350,13840940,14092043,14449440,14464151,15412736,15456695,15516636,15650440,16008412,16255620,16609128,17148171,17260754,17339328,17606745,17683311,17711819,18539752,18548034,18685269,18780528,19043015,19506744,20131490,20341516,20857221,21128094,21219191,21423243,21637931,21945087,22303778,22489851,22506572,22851618,22869160,23517815,23827271,24157788,24477794,24558203,24658220,24830025,25152591,25727805,26485360,27442992,27494411,28221378,28646632,28886699,29589864,29767415,29796030,30313130,30839783,30873366,30911330,30969813,31694834,31782432,31862540,32014696,32023871,32050443,32227461,33138242,33288597,34424104,34893698,35008043,35720898,35749551,35755236,36016533,36375756,36732098,36868825,37093596,37843871,38235048,38366025,38727117,39277730,39964143,40052651,40323074,40423271,40680328,40923760,41134343,41255543,41650223,41886251,42213695,42435554,42876825,43014429,43946258,44242590,45735280,45765369,46039230,46092098,46641695,46831922,47133276,47192096,48735911,49108512,49761899,49848140,50011490,50395751,50656434,50751983,51160418,51452190,52004091,52190402,52469291,52669750,53091108,53694971,53708865,54046082,54606351,54615165,54882336,54955691,55247076,55970034,56784839,57289456,57503901,57747530,57853943,58030583,58256176,58681511,58936490,59300012,59817768,60013788,60514658,60622220,61742628,62162012,62307112,63203700,63413643,63513791,63630236,63939125,64043474,64263695,64386383,64450638,64540905,64881131,65538198,67294989,67417280,68457025,68759783,68843632,69297036,69622730,70095501,70418231,70723788,71993930,72146615,72158511,72746664,73496939,73539431,74283911,74531978,74937218,74956130,75182423,75242500,75270239,75844440,76379474,76456149,76726950,77116434,77449086,77653751,77783691,78002012,78508130,78844151,79822731,79928543,80008754,80871215,80900736,81018242,81059711,81095245,81515308,81839997,81842080,82148430,82445711,82583543,82648490,83447025,83547276,83804492,83830730,84905211,85324995,86047271,86392716,86461691,86575938,87624992,88178831,88949783,89010160,89553611,89577143,89947356,90291000,90819338,90901151,91013328,91019225,92009771,92072340,92549378,92687330,93573311,93895559,94209756,94755695,94776263,95005371,95508111,95778923,95833465,96310400,96512943,96948904,97045458,97314294,97465298,97795750,98205602,98210496,98578116,99075695,99178188,99453611,99732191,99955058,...,264445463999548819765854179903876042270790055638359362896695448261935030519856113882075436198598308467124798112148286286744615443121545829177532248131759199735061167133370809974153442338015703694135995076933520858319754357061348435251959430755052063763038901716724697464102290879544109558160362240446839908100127753584916436165574350572462073181652402418712225425262183073033391446086511352796527995235447886887085307595774487190869154010561296871286251619416556933342792907304243716158358016753724263646251347019496177522789618497639002663629740696073720470738715501086650472432925523310760867406026521650922281915097811186479226489985152646954964610902891480126664686115624072245243638796762176203767410087731396802917962346371327793664972920805360755687898919964711324714164192600708004234515774834822938485474392688073038039810454018662439482288101140506221918039232421482401137143142378752546119028855643657203215838529735389526220833560348342734568485272229132937983860088882839926405696944187203625131836434753648384140491249335135144293238646190634747350067742637763676540243042183751930061384461424205420991988418818283087056836848639441641314761223817245347573302570469915252523721117973888435111009456282448447015854606991333908365065548380126516657312291004608318199358295499864500925274808289711214787165672395559083599592358174727377722049623993928377579490553093999635927418720147324595190726590884813916744861812048755723766715682238565638516080964197166665855445159017265514076688291823110356467294234231964350874947643350981516819058716613857321047140214943409824707196085556796229471564010263047876888479526660501414997083105050346135917693957356201126244703200579625335505362624001606340627978126831288015731497943118973871174142588718791100853407032343727787680680893693095904340815522513869293564133715577746360653493894571905332976414100019353896413643643896907990669396495224461238290302986585953218590287434656952215643427380991154096018983999076470295487850169899862324346267312947885852759843358179794214355612287697799938229710489960375079146572802554951704840506795587062926269345184532359344522616584360312784422753263178333492930405952783121881111406042587584812769751955094214429658100900685800074929001267702365528556989156803640078085789738260567112544355380661551151434597331210704711094411985464417084098470981223800595660702236897694847337404817428535745392821480603677994468750251461491016346129086920890533168448483607989943836317942541752703958072548531677333482552824134777034657866221010726677760419641443144409035797586582622213930107224567280192387038751545951415414341479293421316147729014945077524681865094435086791857444258263227793926732393586931360231149960020328949238506939040020858998072290929418951493588127577278097755685374322026320201555542768957294086826116204491739643437204557606152265341238282949554649970356008984821259910288395002405212365192106930121189540505087780374837139229659302683584112474362389460976716056248055050829656600591485811413546753832727035421616897247568845647282839017616673961810631508426580009801821363718780054994565176019398018175600232353802380225331637443646498904674843193659025572103429756409261606200503105624015010041694472599074875159747379038162357113907312081484190828546792075256103456164477145510667473118605102797002555209170118661238296281810383802828148866337695755196035985431597568720981460497399801579198418279457893964209449760103076813444836959994892283609288276274924291044730645833626191698802175337865155187380749958868619482112507367916216133418380532760089305411726027527131005570865059023586924684263550546227831754304517924126896273036598922776592698675917020695891782073453482015076472362897567979963663216980278352448622998567895521140020466923755320560511331932787498692625037361062856847895150360005936696683321134969322293577570749436316440612974511684536008711593200969605620261107351385338594950447514200868632940466444561692962489999968068860755175387930708675821356503593083803504929649354696326166443865807689568028276378737814282043232787189441193935620525965273286295029418799799765662770306414722984141784353892166377248577884288955907396546449868038121853154663340066473583671803752450219821187722590244552592518387052980400118705451901727778068429231914753009340131654992051694774850298213320948928533751696740964612048949327913916201051160226017481039926374383179300426699873363935986624436866898815752274625446798894141298214612747806553068616225220818469249791391383014524954619222591463873752046638192449538649761592795381272867694586641623528696288614049953166253349932230070631508901303435423274768209064619221867890084361265185788053708215405779296116863045526724714234287121303064985328162617199554903488234627099280896413969587299676007731119398625505068}
30122  403295572964829717521953866631345589190850607858736937876676321564125668560510887683233: {90357,391417,421582,571957,602260,662398,722712,813051,932821,1023502,1384462,1686104,1745278,1865518,1896867,2258175,2408720,2709810,2890464,3130712,3251772,3271417,3490324,3522051,3667198,4167637,4386862,4574744,4883317,4966995,5146587,5298128,5653348,5960394,6422782,6542398,7093924,7201321,7375235,7674735,7857118,8089621,8186384,8215342,8533348,8850282,9209682,10361662,10381395,10536050,10690324,10925211,11073488,11551822,11908558,12457674,12643260,12844708,13030837,13486144,13694135,14283118,14401678,14532987,15051500,15171912,15349582,15480277,16003321,16059838,16222283,16432962,16881051,16887742,17068401,17301175,18061800,18865803,18895102,19265920,19395795,19563050,19720318,19949007,20010515,20319525,20688848,20761410,21368398,21542137,21674160,21714037,21838702,22145504,22543678,22864228,23119104,23174690,23274954,23475660,23577748,23600062,23771221,24012618,24383430,24730712,24913692,24966457,25040704,25065803,25426895,25891131,26008992,26644558,27111982,27809628,27822051,28012859,28133215,28170792,28396078,28564324,28586450,28862542,28868821,29095678,29260116,29712121,29986468,30121091,30143998,30197235,30468824,30512274,30822775,30842158,30889717,31692141,32210384,32352862,33106700,33455667,33536788,33759858,34277427,34303740,34734121,35019022,35066617,35595287,35808290,36236682,36522238,36590656,36716691,36890197,36987330,37628504,38138062,39453152,39728040,39828175,39865822,40018370,40048459,40183477,40210942,40670878,41164488,41293084,41656057,41704798,41819317,42278638,42332067,42376576,42733924,42969948,43030130,43081342,43772821,44097397,44259577,44384796,44455582,44694045,45370462,45469695,45877417,46170142,46310049,46366995,47425198,47542251,47627864,47666068,47673648,47793810,48022044,48130297,48222862,48501008,49458128,49707363,50128274,50850410,50974154,50980064,51154700,51292222,51636156,52340547,53218798,53285524,53581347,53632854,53671438,54236878,54518723,54563634,54914878,55098147,55253662,55592302,55640394,56217877,56381902,56531221,57169100,57283342,57352572,57625657,57733678,58071262,58916595,58990120,59307838,60238178,60423721,60484611,60887797,61020492,61385640,61505557,61663198,61968121,62310175,62430037,62844368,63117742,63453022,63653331,63676462,64011502,65478016,65797621,65919387,66102037,66254137,66363885,67541912,67798558,68602920,68686942,69019822,69058845,69138147,69338788,70033237,70247883,70699914,70788144,71382697,71611820,72119758,72808468,72820220,73176448,73662768,73665022,73995742,74125015,74360617,74626712,74772210,75017235,75097102,75317182,75777775,75984651,76416622,76671868,76740627,77178285,77702515,77749621,77883890,78281998,78285603,78610702,79004625,79537795,79636662,79757024,80018384,80907598,81069123,81671662,81823957,82216942,82323504,82545577,82833721,82870614,83197438,83265397,83632798,83955051,84271600,84285358,84551524,84830291,85263118,85271317,85414057,85480222,85805758,85934184,86054540,86621295,86837497,87106462,87384264,87546517,88404735,88512958,88536121,88950018,89700958,89726652,89810483,90020682,90132478,90348142,90644821,90771987,90933330,91640782,92393758,92396048,92613942,92716222,93243018,93460668,94053125,94298384,94326382,94805550,95089237,95445354,96065211,96211348,96462997,96675957,96995552,97108798,97147177,97502515,97556821,98307297,98389342,...,396668195999323229648781269855814063406185083457539044345043172392902545779784170823113154297897462700687197168222429430116923164682318743766298372197638799602591750700056214961230163507023555541203992615400281287479631535592022652877939146132578095644558352575087046196153436319316164337240543360670259862150191630377374654248361525858693109772478603628068338137893274609550087169129767029194791992853171830330627961393661730786303731015841945306929377429124835400014189360956365574237537025130586395469377020529244266284184427746458503995444611044110580706108073251629975708649388284966141301109039782476383422872646716779718839734977728970432446916354337220189997029173436108367865458195143264305651115131597095204376943519556991690497459381208041133531848379947066987071246288901062006351773662252234407728211589032109557059715681027993659223432151710759332877058848632223601705714713568128819178543283465485804823757794603084289331250340522514101852727908343699406975790133324259889608545416280805437697754652130472576210736874002702716439857969285952121025101613956645514810364563275627895092076692136308131487982628227424630585255272959162461972141835725868021359953855704872878785581676960832652666514184423672670523781910487000862547598322570189774985968436506912477299037443249796751387912212434566822180748508593338625399388537262091066583074435990892566369235829640999453891128080220986892786089886327220875117292718073133585650073523357848457774121446295749998783167738525898271115032437734665534700941351347946526312421465026472275228588074920785981570710322415114737060794128335194344207346015394571815332719289990752122495624657575519203876540936034301689367054800869438003258043936002409510941967190246932023597246914678460806761213883078186651280110548515591681521021340539643856511223283770803940346200573366619540980240841857857999464621150029030844620465465845361986004094742836691857435454479878929827885431151985428323465141071486731144028475998614705443231775254849793486519400969421828779139765037269691321533418431546699907344565734940562618719859203832427557260760193380594389404017776798539016783924876540469176634129894767500239395608929174682821667109063881377219154627932641321644487151351028700112393501901553548292835483735205460117128684607390850668816533070992326727151895996816057066641617978196625626147706471835700893491053355346542271006107226142803618089232220905516991703125377192236524519193630381335799752672725411984915754476913812629055937108822797516000223829236202165551986799331516090016640629462164716613553696379873933320895160836850920288580558127318927123121512218940131974221593522417616287022797641652630187786166387394841690890098590380397040346724940030493423857760408560031288497108436394128427240382191365917146633528061483039480302333314153435941130239174306737609465155806836409228398011857424424331974955534013477231889865432592503607818547788160395181784310757631670562255708844488954025376168711543584191465074084372082576244484900887228717120320130749090553132425345871353268470924258526425010942715947262639870014702732045578170082491847764029097027263400348530703570337997456165469748357012264790488538358155144634613892409300754658436022515062541708898612312739621068557243535670860968122226286242820188112884155184246715718266001209677907654195503832813755177991857444422715575704242223299506543632794053978147396353081472190746099702368797627419186840946314174640154615220167255439992338425413932414412386436567095968750439287548203263006797732781071124938302929223168761051874324200127570799140133958117589041290696508356297588535380387026395325819341747631456776886190344409554898384164889048013875531043837673110180223022614708544346351969945494825470417528672934497851843281710030700385632980840766997899181248038937556041594285271842725540008905045024981702453983440366356124154474660919461767526804013067389801454408430391661027078007892425671271301302949410699666842539443734999952103291132763081896063013732034755389625705257394474032044489249665798711534352042414568106721423064849180784161790903430788947909929442544128199699648494155459622084476212676530838249565872866826433433861094819674802057182779731995010099710375507705628675329731781583885366828888777580579470600178058177852591667102643847872129514010197482488077542162275447319981423392800627545111446918073423991870874301576740339026221559889561574768950640049810045903979936655300348223628411938170198341211947321919121709829602924337831227703874687087074521787431928833887195810628069957288674307974642389193071909301541879962435293044432921074929749380024898345105947263351955153134912152313596928832801835126541897778682080562323108668944175294568290087071351430681954597477992243925799332355232351940648921344620954380949514011596679097938257602}
30123  404546955033753206764248014346494995141317039593922378527161682996365650568557923747252: {120476,632373,752825,903390,963616,993597,1084068,1475341,1535253,2076693,2107630,2529156,2617917,2739373,2798277,3010900,3613080,3853952,3913390,4002901,4064715,4335696,4362905,4635862,4696068,4877658,5086393,5235486,5500797,5718430,6580293,6622660,6862116,7066685,7163086,7432477,7612517,7947192,8480022,8607742,8695721,8867405,8940591,9634173,9689302,9813597,10232980,10640886,10666685,11785677,11800376,12279576,12323013,12578038,12800022,13275423,13300222,13362905,13562021,13814523,13841860,14566948,14863966,15542493,15804075,16035486,16055885,16610232,16857680,17327733,17524397,17862837,18102742,18686511,18814375,18964890,19267062,19377316,20057357,20229216,21424677,21602517,21639373,21910616,22508068,22577250,22757868,23024373,24017141,24082400,24089757,24649443,25154404,25331613,25861060,26598676,26660221,27092700,27416477,27681880,28184086,28342653,28345637,28580285,28898880,28928302,29344575,29472185,29580477,30137141,30825472,30913390,31033272,31142115,31300880,32016824,32052597,32511240,32758053,32924941,33218256,33342221,33815517,34296342,34521508,34678656,34762035,34912431,35213490,35366622,35400093,35423638,35705405,36018927,36575145,36627293,37079504,37096068,37370538,37483085,37561056,37846393,38086030,39013488,39966837,40262980,40667973,40683032,40954061,41383375,41674381,41714442,41920985,42256188,42438382,42594117,42846486,42879675,43275862,43293813,43643517,43890174,44607556,44979702,45013144,45215997,45703236,45738320,45768411,46263237,47035630,47654542,48315576,48529293,48955588,49037357,49116406,49316440,49501933,49660050,50305182,50639787,51455610,51616355,52528533,52970720,53417405,53712435,54355023,54783357,54885984,54988822,55480995,56442756,57207093,57293264,57773398,58809517,59099173,59179728,59534830,59582585,59592060,59798733,60027555,60316413,60626260,61006317,61432517,61679566,61746732,61822660,61939626,62557197,62864021,63389668,63417957,63457693,63564864,63725080,63943375,64029392,64047742,64100886,64454922,64545195,64622013,65253017,65298373,66276484,66334061,66577194,66606905,66683373,68055693,68848208,69255213,69787396,70016086,71137797,71441796,71461375,71499102,71510472,71690715,72033066,72236477,72334293,72751512,73464196,73501837,73737650,74187192,75061753,75192411,75687742,76275615,76461231,76470096,76579877,76732050,76938333,77454234,78536117,78555460,79828197,79928286,80105302,80449281,80507157,80646148,80846542,81065113,81355317,81360656,81845451,81847520,82268686,82372317,82511086,82880493,83300446,83388453,83460591,83772502,84427390,84572853,84871108,85753650,85925013,86028858,86467453,86600517,86673485,87106893,87362021,87892516,88485180,88955737,88961757,89331901,89514775,89969173,90357267,91010585,91025275,91067861,91470560,91530738,92078460,92184196,92494797,93283390,93663844,93844397,94266552,94384192,94676613,95179533,95514693,95754877,95839835,96017253,96106637,97471822,98217024,99523798,99696280,...,595002293998984844473171904783721095109277625186308566517564758589353818669676256234669731446846194051030795752333644145175384747023478115649447558296458199403887626050084322441845245260535333311805988923100421931219447303388033979316908719198867143466837528862630569294230154478974246505860815041005389793225287445566061981372542288788039664658717905442102507206839911914325130753694650543792187989279757745495941942090492596179455596523762917960394066143687253100021284041434548361356305537695879593204065530793866399426276641619687755993166916566165871059162109877444963562974082427449211951663559673714575134308970075169578259602466593455648670374531505830284995543760154162551798187292714896458476672697395642806565415279335487535746189071812061700297772569920600480606869433351593009527660493378351611592317383548164335589573521541990488835148227566138999315588272948335402558572070352193228767814925198228707235636691904626433996875510783771152779091862515549110463685199986389834412818124421208156546631978195708864316105311004054074659786953928928181537652420934968272215546844913441842638115038204462197231973942341136945877882909438743692958212753588802032039930783557309318178372515441248978999771276635509005785672865730501293821397483855284662478952654760368715948556164874695127081868318651850233271122762890007938099082805893136599874611653986338849553853744461499180836692120331480339179134829490831312675939077109700378475110285036772686661182169443624998174751607788847406672548656601998302051412027021919789468632197539708412842882112381178972356065483622672105591191192502791516311019023091857722999078934986128183743436986363278805814811404051452534050582201304157004887065904003614266412950785370398035395870372017691210141820824617279976920165822773387522281532010809465784766834925656205910519300860049929311470361262786786999196931725043546266930698198768042979006142114255037786153181719818394741828146727978142485197711607230096716042713997922058164847662882274690229779101454132743168709647555904536982300127647320049861016848602410843928079788805748641335891140290070891584106026665197808525175887314810703764951194842151250359093413393762024232500663595822065828731941898961982466730727026543050168590252852330322439253225602808190175693026911086276003224799606488490090727843995224085599962426967294938439221559707753551340236580033019813406509160839214205427133848331358275487554688065788354786778790445572003699629009088117977373631715370718943583905663234196274000335743854303248327980198997274135024960944193247074920330544569810899981342741255276380432870837190978390684682268328410197961332390283626424430534196462478945281679249581092262536335147885570595560520087410045740135786640612840046932745662654591192640860573287048875719950292092224559220453499971230153911695358761460106414197733710254613842597017786136636497962433301020215847834798148888755411727821682240592772676466136447505843383563266733431038064253067315376287197611126558123864366727351330843075680480196123635829698638018807029902706386387789637516414073920893959805022054098068367255123737771646043645540895100522796055355506996184248204622535518397185732807537232716951920838613951131987654033772593812563347918469109431602835865303506291452183339429364230282169326232776370073577399001814516861481293255749220632766987786166634073363556363334949259815449191080967221094529622208286119149553553196441128780261419471261960231922830250883159988507638120898621618579654850643953125658931322304894510196599171606687407454393834753141577811486300191356198710200937176383561936044762534446382803070580539592988729012621447185165329285516614332347576247333572020813296565756509665270334533922062816519527954918242238205626293009401746777764922565046050578449471261150496848771872058406334062391427907764088310013357567537472553680975160549534186231711991379192651290206019601084702181612645587491540617011838638506906951954424116049500263809165602499928154936699144622844094520598052133084438557886091711048066733874498698067301528063621852160082134597273771176242686355146183421864894163816192299549472741233189433126714319014796257374348809300239650150791642229512203085774169597992515149565563261558443012994597672375828050243333166370869205900267087266778887500653965771808194271015296223732116313243413170979972135089200941317667170377110135987806311452365110508539332339834342362153425960074715068855969904982950522335442617907255297511817920982878682564744404386506746841555812030630611782681147893250830793715942104935933011461961963583789607863952312819943652939566649381612394624070037347517658920895027932729702368228470395393249202752689812846668023120843484663003416262941852435130607027146022931896216988365888698998532848527910973382016931431571424271017395018646907386403}
30124  405802197417478402087549087634662544838292848493539231489511962319773844967786860836411: {150595,180714,331243,782834,843164,1143914,1204520,1324796,1355085,1445424,1593763,1626102,1865642,2047004,2768924,3161445,3372208,3391243,3490556,3731036,3763625,3793734,4516350,4817440,5419620,5780928,5870085,5895619,6261424,6503544,6542834,6953793,6980648,7044102,7316487,7334396,7498123,7675819,7853229,8278325,8335274,8577645,8773724,9149488,9766634,9933990,10293174,10325329,10596256,10744629,11306696,11390803,11918923,11920788,12720033,12791225,12845564,12911613,13084796,13674643,14187848,14402642,14533953,14549803,14750470,15349470,15714236,15961329,16179242,16372768,16430684,16468819,17066696,17302325,17338219,17511883,17700564,18208685,18419364,18867057,18898603,19171789,19200033,19950333,20625523,20723324,20762790,21072100,21380648,21850422,22146976,22295949,22345243,23103644,23373619,23817116,24053229,24057763,24221645,24228619,24915348,25286520,25689416,25763083,26061674,26972288,27154113,27388270,28014721,28135085,28307563,28447335,28476619,28566236,28803356,28900593,29065974,30103000,30343824,30699164,30835843,30960554,31443005,31675003,31842619,32006642,32010163,32119676,32326325,32444566,32865924,33248345,33681643,33762102,33775484,33865875,34136802,34602350,35345923,35597653,36123600,37663819,37731606,37790204,38531840,38791590,39126100,39386501,39440636,39475123,39898014,40021030,40051121,40639050,40950619,41377696,41522820,42276129,42420283,42736796,42746083,43084274,43151885,43348320,43392453,43428074,43677404,44291008,44370763,45087356,45180403,45728456,45826819,46238208,46349380,46370085,46549908,46951320,47155496,47200124,47329997,47542442,48025236,48766860,48881563,49461424,49827384,49932914,50081408,50131606,50328725,50853790,51444513,51782262,52017984,52227619,52820235,53049933,53135457,53289116,53967643,54223964,55541923,55619256,55644102,55759445,56025718,56055807,56266430,56341584,56792156,56952619,57128648,57129045,57172900,57725084,57737642,58191356,58520232,59424242,59911603,59972936,60242182,60287996,60394470,60937648,61024548,61194485,61612819,61645550,61684316,61779434,62571663,63305323,63384282,63657573,63918619,64269729,64420768,64705724,64836403,64913793,65294323,65446819,65835261,66056083,66213400,66911334,67073576,67119523,67469553,67519716,68481619,68554854,68607480,69468242,70038044,70133234,70138483,70553445,71190574,71481813,71616580,72473364,73044476,73181312,73433382,73674609,73723219,73780394,73871683,73974660,74490075,75257008,75457773,75782825,76276124,77183415,77278325,77559883,78906304,79237085,79456080,79605619,79656350,79731644,80036740,80096918,80366954,80421884,81341756,82328976,82483233,82586168,82845605,83312114,83409596,83638634,84557276,84658219,84664134,84753152,85467848,85939896,86060260,86162684,86227963,86654563,86660097,87234245,87545642,88194794,88519154,88769592,88911164,89059723,89302245,89388090,89622619,90740924,90939390,91024819,91164643,91754834,91830245,92340284,92519349,92620098,92733990,92909439,92975803,93807619,93946003,94850396,95084502,95255728,95332136,95347296,95587620,96013123,96044088,96071613,96151329,96260594,96445724,96682383,97002016,97791523,98194325,98916256,99286819,99414726,99865791,...,793336391998646459297562539711628126812370166915078088690086344785805091559568341646226308595794925401374394336444858860233846329364637487532596744395277599205183501400112429922460327014047111082407985230800562574959263071184045305755878292265156191289116705150174092392306872638632328674481086721340519724300383260754749308496723051717386219544957207256136676275786549219100174338259534058389583985706343660661255922787323461572607462031683890613858754858249670800028378721912731148475074050261172790938754041058488532568368855492917007990889222088221161412216146503259951417298776569932282602218079564952766845745293433559437679469955457940864893832708674440379994058346872216735730916390286528611302230263194190408753887039113983380994918762416082267063696759894133974142492577802124012703547324504468815456423178064219114119431362055987318446864303421518665754117697264447203411429427136257638357086566930971609647515589206168578662500681045028203705455816687398813951580266648519779217090832561610875395509304260945152421473748005405432879715938571904242050203227913291029620729126551255790184153384272616262975965256454849261170510545918324923944283671451736042719907711409745757571163353921665305333028368847345341047563820974001725095196645140379549971936873013824954598074886499593502775824424869133644361497017186677250798777074524182133166148871981785132738471659281998907782256160441973785572179772654441750234585436146267171300147046715696915548242892591499997566335477051796542230064875469331069401882702695893052624842930052944550457176149841571963141420644830229474121588256670388688414692030789143630665438579981504244991249315151038407753081872068603378734109601738876006516087872004819021883934380493864047194493829356921613522427766156373302560221097031183363042042681079287713022446567541607880692401146733239081960481683715715998929242300058061689240930931690723972008189485673383714870908959757859655770862303970856646930282142973462288056951997229410886463550509699586973038801938843657558279530074539382643066836863093399814689131469881125237439718407664855114521520386761188778808035553597078033567849753080938353268259789535000478791217858349365643334218127762754438309255865282643288974302702057400224787003803107096585670967470410920234257369214781701337633066141984653454303791993632114133283235956393251252295412943671401786982106710693084542012214452285607236178464441811033983406250754384473049038387260762671599505345450823969831508953827625258111874217645595032000447658472404331103973598663032180033281258924329433227107392759747866641790321673701840577161116254637854246243024437880263948443187044835232574045595283305260375572332774789683381780197180760794080693449880060986847715520817120062576994216872788256854480764382731834293267056122966078960604666628306871882260478348613475218930311613672818456796023714848848663949911068026954463779730865185007215637095576320790363568621515263341124511417688977908050752337423087168382930148168744165152488969801774457434240640261498181106264850691742706536941848517052850021885431894525279740029405464091156340164983695528058194054526800697061407140675994912330939496714024529580977076716310289269227784818601509316872045030125083417797224625479242137114487071341721936244452572485640376225768310368493431436532002419355815308391007665627510355983714888845431151408484446599013087265588107956294792706162944381492199404737595254838373681892628349280309230440334510879984676850827864828824772873134191937500878575096406526013595465562142249876605858446337522103748648400255141598280267916235178082581393016712595177070760774052790651638683495262913553772380688819109796768329778096027751062087675346220360446045229417088692703939890989650940835057345868995703686563420061400771265961681533995798362496077875112083188570543685451080017810090049963404907966880732712248308949321838923535053608026134779602908816860783322054156015784851342542602605898821399333685078887469999904206582265526163792126027464069510779251410514788948064088978499331597423068704084829136213442846129698361568323581806861577895819858885088256399399296988310919244168952425353061676499131745733652866867722189639349604114365559463990020199420751015411257350659463563167770733657777555161158941200356116355705183334205287695744259028020394964976155084324550894639962846785601255090222893836146847983741748603153480678052443119779123149537901280099620091807959873310600696447256823876340396682423894643838243419659205848675662455407749374174149043574863857667774391621256139914577348615949284778386143818603083759924870586088865842149859498760049796690211894526703910306269824304627193857665603670253083795557364161124646217337888350589136580174142702861363909194955984487851598664710464703881297842689241908761899028023193358195876515204}
30125  407061311955135483893791768103083338367733274895333892934995198629055565331918041831895: {240952,271071,1053955,1174251,1264746,1505650,1655995,1715871,1806780,1927232,1987194,2168136,2439153,2558755,2798463,2950682,3070506,3461155,3642463,4153386,4215260,4363195,4663795,5058312,5235834,5478746,5596554,5628139,5690601,6021800,6108067,6774525,7226160,7613023,7707904,7826780,8005802,8129430,8671392,8696299,8725810,8996611,9167995,9271724,9392136,9718747,9755316,9814251,9893359,10172786,10470972,10566153,10967155,11001594,11436860,12414367,12502911,13160586,13245320,13724232,14133370,14223583,14326172,14649951,14864954,14900985,14933359,15225034,15439761,15894384,16027843,16056955,16355995,16960044,17215484,17391442,17734810,17881182,18708067,18914659,19268346,19378604,19627194,19642795,20465960,20538355,20710651,21281772,21333370,21440623,21603963,22125705,22144639,22478239,23024205,23571354,23600752,24268863,24559152,24646026,25156076,25600044,25904155,26340125,26550846,26600444,26725810,26842687,27124042,27629046,27683720,28879555,29133896,29727932,29728351,29771395,31084986,31144185,31158739,31608150,32070972,32111770,32253307,32401291,32775633,33220464,33344443,33682687,33715360,34002463,34655466,35048794,35707795,35725674,36004195,36205484,37373022,37628750,37929780,38373955,38534124,38754632,39092511,39404443,40012399,40114714,40149595,40328947,40458432,41082405,41261059,42219355,42849354,43205034,43205503,43278746,43598961,43778479,43821232,45016136,45154500,45515736,45581299,46048746,46440831,47237755,48009963,48034282,48164800,48179514,48666849,48907625,49298886,49300795,49488139,49987567,50308808,50418691,50643153,50663226,51205203,51722120,51903525,52476319,53197352,53320442,53420995,54185400,54596755,54832954,55012639,55363760,56359195,56368172,56597409,56685306,56691274,57160570,57797760,57856604,57936725,58187385,58346347,58689150,58689379,58944370,59000155,59160954,59847021,60031545,60274282,60958575,61436611,61650944,61826780,62066544,62284230,62601760,63522283,64033648,64105194,64626411,64830139,65022480,65142111,65516106,65553307,65849882,66436512,66611395,66684442,67631034,67779955,68436091,68592684,69043016,69357312,69524070,69824862,70426980,70733244,70800186,70847276,70990195,71313663,71410810,71466125,72037854,72156355,72241291,72262897,72739195,73150290,73254586,74159008,74192136,74293843,74741076,74784367,74899371,74966170,75122112,75197409,75359995,75692786,75886147,76172060,76280685,76585003,77105395,77218303,77673393,77941411,78026976,79193323,79933674,80525960,80882155,81335946,81366064,81908122,82451743,82766750,83348762,83415619,83428884,83466153,83841970,84038577,84399645,84512376,84876764,85188234,85692972,85759350,86358943,86551724,86587626,86606463,87287034,87367843,87547555,87780348,89136363,89215112,89520725,89822923,89959404,90026288,90363273,90431994,90503491,90591705,90913339,91305595,91406472,91476640,91536822,91623583,92085379,92213803,92468325,92526474,92669151,92815411,93055867,93249667,93850651,94071260,94504639,95076423,95309084,95345155,96631152,97025563,97058586,97140499,97911176,98074714,98232812,98254291,98632880,99003866,99320100,99664555,...,1190004587997969688946343809567442190218555250372617133035129517178707637339352512469339462893692388102061591504667288290350769494046956231298895116592916398807775252100168644883690490521070666623611977846200843862438894606776067958633817438397734286933675057725261138588460308957948493011721630082010779586450574891132123962745084577576079329317435810884205014413679823828650261507389301087584375978559515490991883884180985192358911193047525835920788132287374506200042568082869096722712611075391759186408131061587732798852553283239375511986333833132331742118324219754889927125948164854898423903327119347429150268617940150339156519204933186911297340749063011660569991087520308325103596374585429792916953345394791285613130830558670975071492378143624123400595545139841200961213738866703186019055320986756703223184634767096328671179147043083980977670296455132277998631176545896670805117144140704386457535629850396457414471273383809252867993751021567542305558183725031098220927370399972779668825636248842416313093263956391417728632210622008108149319573907857856363075304841869936544431093689826883685276230076408924394463947884682273891755765818877487385916425507177604064079861567114618636356745030882497957999542553271018011571345731461002587642794967710569324957905309520737431897112329749390254163736637303700466542245525780015876198165611786273199749223307972677699107707488922998361673384240662960678358269658981662625351878154219400756950220570073545373322364338887249996349503215577694813345097313203996604102824054043839578937264395079416825685764224762357944712130967245344211182382385005583032622038046183715445998157869972256367486873972726557611629622808102905068101164402608314009774131808007228532825901570740796070791740744035382420283641649234559953840331645546775044563064021618931569533669851312411821038601720099858622940722525573573998393863450087092533861396397536085958012284228510075572306363439636789483656293455956284970395423214460193432085427995844116329695325764549380459558202908265486337419295111809073964600255294640099722033697204821687856159577611497282671782280580141783168212053330395617050351774629621407529902389684302500718186826787524048465001327191644131657463883797923964933461454053086100337180505704660644878506451205616380351386053822172552006449599212976980181455687990448171199924853934589876878443119415507102680473160066039626813018321678428410854267696662716550975109376131576709573557580891144007399258018176235954747263430741437887167811326468392548000671487708606496655960397994548270049921888386494149840661089139621799962685482510552760865741674381956781369364536656820395922664780567252848861068392924957890563358499162184525072670295771141191121040174820091480271573281225680093865491325309182385281721146574097751439900584184449118440906999942460307823390717522920212828395467420509227685194035572273272995924866602040431695669596297777510823455643364481185545352932272895011686767126533466862076128506134630752574395222253116247728733454702661686151360960392247271659397276037614059805412772775579275032828147841787919610044108196136734510247475543292087291081790201045592110711013992368496409245071036794371465615074465433903841677227902263975308067545187625126695836938218863205671730607012582904366678858728460564338652465552740147154798003629033722962586511498441265533975572333268146727112726669898519630898382161934442189059244416572238299107106392882257560522838942523920463845660501766319977015276241797243237159309701287906251317862644609789020393198343213374814908787669506283155622972600382712397420401874352767123872089525068892765606141161079185977458025242894370330658571033228664695152494667144041626593131513019330540669067844125633039055909836484476411252586018803493555529845130092101156898942522300993697543744116812668124782855815528176620026715135074945107361950321099068372463423982758385302580412039202169404363225291174983081234023677277013813903908848232099000527618331204999856309873398289245688189041196104266168877115772183422096133467748997396134603056127243704320164269194547542352485372710292366843729788327632384599098945482466378866253428638029592514748697618600479300301583284459024406171548339195985030299131126523116886025989195344751656100486666332741738411800534174533557775001307931543616388542030592447464232626486826341959944270178401882635334340754220271975612622904730221017078664679668684724306851920149430137711939809965901044670885235814510595023635841965757365129488808773013493683111624061261223565362295786501661587431884209871866022923923927167579215727904625639887305879133298763224789248140074695035317841790055865459404736456940790786498405505379625693336046241686969326006832525883704870261214054292045863792433976731777397997065697055821946764033862863142848542034790037293814772806}
30126  408324310521952303302387961795094658578515521153303526329582843791802975753326517070363: {210833,301190,361428,391469,511853,662486,692369,872813,1113293,1565668,1686328,1897119,2013953,2258475,2287828,2373713,2409040,2649592,2710170,2890848,2912813,2980791,3187526,3252204,3391469,3731284,4094008,4108493,4426023,4605759,5003153,5269075,5360513,5537848,5955473,6230079,6322890,6744416,6782486,6981112,7462072,7527250,7587468,7853751,7853969,8218119,8394831,8741069,9032700,9154433,9634880,9783475,10038893,10839240,10921553,11097869,11561856,11589655,11740170,11791238,12008703,12154253,12194145,12522848,13007088,13085668,13088715,13149569,13558733,13733969,13907586,13961296,14088204,14296075,14632974,14668792,14996246,15259179,15351638,15706458,16469933,16502391,16556650,16670548,17155290,17547448,17686673,17907715,18298976,18957569,19245869,19533268,19740879,19821869,19867980,20109569,20586348,20650658,21192512,21200055,21373073,21489258,21519355,21716993,21831569,22297431,22613392,22781606,22837551,23089793,23837846,23841576,24116369,24223255,24287213,24571793,25083533,25440066,25492159,25582450,25691128,25821569,25823226,26087163,26169592,26602215,26821773,26841233,27349286,27632513,27801869,28375696,28805284,28902519,29041613,29067906,29099606,29440791,29500940,30501773,30698940,30893969,31428472,31445095,31733069,31922658,32000055,32012369,32179853,32358484,32403053,32745536,32861368,32937638,33250555,33910303,34133392,34517069,34604650,34676438,35023766,35182253,35357031,35401128,36343553,36417370,36838728,36969039,37005569,37159915,37170893,37734114,37797206,37996433,38343578,38400066,39313553,39389119,39477869,39826269,39900666,40088715,40686063,40844369,41008013,41251046,41280593,41443569,41446648,41525580,42144200,42477569,42761296,42911873,43562369,43700844,44020207,44293952,44373869,44591898,44690486,44751953,45075713,45256855,45883853,45991469,46207288,46367873,46547683,46627479,46747238,47333143,47333969,47412225,47634232,48106458,48115526,48137069,48167655,48244013,48443290,48457238,48938369,49205069,49830696,50376173,50573040,51378832,51526166,51983199,52123348,52231313,52573191,53588511,53813633,53944576,54308226,54776540,55935451,56029442,56059533,56270170,56330369,56443125,56615126,56695853,56894670,56953238,56956673,57008813,57132472,57269393,57606712,57801186,58049933,58131948,58828673,59605613,59967569,60172071,60206000,60412639,60687648,60896513,61398328,61617233,61671686,61921108,62541569,62886010,63350006,63685238,64013284,64020326,64229453,64239352,64274031,64652650,64807551,64841069,64889132,64918119,65197313,65731848,65959373,66111569,66263693,66365069,66496690,67363286,67478093,67524204,67550968,67731750,68273604,68385869,69073119,69204700,70143569,70460215,70691846,71195306,71991053,72051423,72247200,72269271,72320755,72736913,73480973,73778093,73948329,74025473,74519633,74766413,75327638,75463212,75580408,75994839,76242893,76439213,77063680,77283475,77565569,77583180,78063223,78252200,78638993,78773002,78881272,78950246,79796028,79980663,80042060,80102242,81278100,81353873,81836033,81901238,81932369,82249431,82557773,82755392,82989953,83045640,83373569,83995853,84552258,84840566,85027959,85036911,85379153,85473592,85492166,85672279,85740855,86168548,86303770,86696640,86784906,86856148,87354808,88033725,88416555,88559095,88582016,88741431,88741526,88831469,89535569,90174712,90360806,90411423,90611693,91171469,91456912,91637069,91653638,92194733,92476416,92698760,92740170,93099816,93167873,93426345,93860813,93902640,94310992,94400248,94659994,95084884,95215075,95791469,96050472,96157791,96340493,97252973,97533720,97763126,97980653,98207633,98274159,98389073,98525069,98660993,98774823,98922848,99339533,99565313,99654768,99865828,...,1785006881996954533419515714351163285327832875558925699552694275768061456009028768704009194340538582153092387257000932435526154241070434346948342674889374598211662878150252967325535735781605999935417966769301265793658341910164101937950726157596601430400512586587891707882690463436922739517582445123016169379675862336698185944117626866364118993976153716326307521620519735742975392261083951631376563967839273236487825826271477788538366789571288753881182198431061759300063852124303645084068916613087638779612196592381599198278829924859063267979500749698497613177486329632334890688922247282347635854990679021143725402926910225508734778807399780366946011123594517490854986631280462487655394561878144689375430018092186928419696245838006462607238567215436185100893317709761801441820608300054779028582981480135054834776952150644493006768720564625971466505444682698416997946764818845006207675716211056579686303444775594686121706910075713879301990626532351313458337275587546647331391055599959169503238454373263624469639895934587126592948315933012162223979360861786784544612957262804904816646640534740325527914345114613386591695921827023410837633648728316231078874638260766406096119792350671927954535117546323746936999313829906527017357018597191503881464192451565853987436857964281106147845668494624085381245604955955550699813368288670023814297248417679409799623834961959016548661561233384497542510076360994441017537404488472493938027817231329101135425330855110318059983546508330874994524254823366542220017645969805994906154236081065759368405896592619125238528646337143536917068196450868016316773573577508374548933057069275573168997236804958384551230310959089836417444434212154357602151746603912471014661197712010842799238852356111194106187611116053073630425462473851839930760497468320162566844596032428397354300504776968617731557902580149787934411083788360360997590795175130638800792094596304128937018426342765113358459545159455184225484440183934427455593134821690290148128141993766174494542988646824070689337304362398229506128942667713610946900382941960149583050545807232531784239366417245924007673420870212674752318079995593425575527661944432111294853584526453751077280240181286072697501990787466197486195825696885947400192181079629150505770758556990967317759676808424570527079080733258828009674398819465470272183531985672256799887280901884815317664679123260654020709740099059440219527482517642616281401544994074826462664064197365064360336371336716011098887027264353932120895146112156830751716989702588822001007231562909744983940596991822405074882832579741224760991633709432699944028223765829141298612511572935172054046804985230593883997170850879273291602589387436835845037748743276787609005443656711786681560262230137220407359921838520140798236987963773577922581719861146627159850876276673677661360499913690461735086076284380319242593201130763841527791053358409909493887299903060647543504394446666266235183465046721778318029398409342517530150689800200293114192759201946128861592833379674371593100182053992529227041440588370907489095914056421089708119159163368912549242221762681879415066162294205101765371213314938130936622685301568388166066520988552744613867606555191557198422611698150855762515841853395962962101317781437690043755407328294808507595910518874356550018288092690846507978698329110220732197005443550584443879767247661898300963358499902220090669090004847779446347573242901663283588866624858357448660659589323386340784258413785880695768490752649479965522914362695864855738964551931859376976793966914683530589797514820062222363181504259424733434458900574068596130602811529150685808134287603339148409211741618778966187037864341555495987856549842997042728742000716062439889697269528995811003601766188449558583864754726714616878879028205240333294767695138151735348413783451490546315616175219002187174283723292264930040072702612417661042925481648602558695135974137577953870618058803254106544837936762474621851035515915520720855863272348148500791427496807499784464810097433868532283561794156399253315673658275133144200201623496094201904584190865556480246403791821313528728059065438550265594682491448576898648418223699568299380142957044388772123046427900718950452374926688536609257322508793977545448696689784675329038983793017127484150729999499112607617700801261800336662501961897315424582813045888671196348939730239512939916405267602823953001511131330407963418934357095331525617997019503027086460277880224145206567909714948851567006327853721765892535453762948636047694233213159520240524667436091891835348043443679752492381147826314807799034385885890751368823591856938459830958818699948144837183872210112042552976762685083798189107104685411186179747608258069438540004069362530453989010248788825557305391821081438068795688650965097666096995598545583732920146050794294714272813052185055940722159209}
30127  409591205029363802720114462531230553664396797923594648115151605551038234339221389514420: {451785,481904,542142,993729,1475537,1957085,2107910,2318393,2348502,2529492,2859785,3011300,3311990,3431742,3582257,3613560,3854464,3974388,4065255,4304729,4336272,4664105,4781289,4845617,4878306,5117510,5596926,5901364,6108473,6141012,6290273,6529313,6651437,6922310,7284926,8306772,8430520,8726390,8997209,9327590,9484335,9719393,10116624,10173729,10471668,10862129,10957492,11193108,11256278,11290875,11381202,12043600,12216134,12835193,13549050,14452320,15226046,15354017,15415808,15653560,16011604,16258860,16357085,16809689,17342784,17392598,17451620,17610255,17686857,17993222,18335990,18543448,18784272,19437494,19510632,19628502,19786718,20345572,20838185,20861379,20941944,21132306,21139913,21934310,21949461,22003188,22479737,22494369,22873720,22898393,23027457,23559687,24416585,24828734,24834975,25005822,25732935,26170937,26321172,26490640,27448464,27499913,28266740,28447166,28652344,28753697,29299902,29729908,29801970,29866718,30450068,30879522,30975987,31788768,32055686,32113910,32233887,32711990,33920088,34004729,34172409,34430968,34477673,34782884,34824473,35469620,35756769,35762364,36006605,36265817,36876175,37416134,37829318,38160099,38373675,38536692,38734839,38757208,39254388,39285590,39407069,40184729,40431377,40448105,40931920,41023929,41076710,41421302,41679953,41894633,42563544,42666740,42881246,43207926,43601859,43649409,44251410,44289278,44956478,45073529,46048410,47142708,47201504,47804777,47883987,48537726,49118304,49292052,49406457,49491437,49990913,50312152,50405873,51061049,51200088,51739193,51808310,51906975,52014657,52535649,52680250,53101692,53200888,53451620,53685374,53723537,54248084,54626055,55258092,55310273,55367440,56209433,56601171,56695809,57515367,57600099,57759110,58267792,59107097,59455864,59456702,59542790,59850999,61876569,62169972,62288370,62317478,62370233,63216300,64141944,64223540,64506614,64733297,64802582,65014937,65154185,65488313,65551266,66132857,66440928,66688886,66887847,67035729,67365374,67430720,67775453,68004926,68470675,69021113,69310932,70097588,70120857,71415590,71451348,72008390,72159687,72173289,72410968,72664935,72685857,74746044,74789393,75071789,75257500,75859560,76435457,76617437,76747910,76904753,77068248,77223449,77289249,77401385,77509264,78185022,78808886,78902873,80016605,80024798,80229428,80299190,80657894,80916864,81111415,81462339,82164810,82522118,82600217,82983137,84044163,84405255,84438710,84813929,84922689,85342005,85429857,85698708,86410068,86411006,86505875,86557492,86701779,87197922,87556958,87642464,87722153,89828909,90032272,90309000,90509549,91031472,91162598,91629689,92097492,92507529,92870129,92881662,93255953,93592109,94204529,94329015,94475510,94510937,94795229,94891937,95025009,95527857,96019926,96030489,96068564,96329600,96359028,96978975,97032029,97333698,97442969,97815250,98157677,98597772,98601590,98976278,99386273,99473513,99745035,99975134,...,2380009175995939377892687619134884380437110500745234266070259034357415274678705024938678925787384776204123183009334576580701538988093912462597790233185832797615550504200337289767380981042141333247223955692401687724877789213552135917267634876795468573867350115450522277176920617915896986023443260164021559172901149782264247925490169155152158658634871621768410028827359647657300523014778602175168751957119030981983767768361970384717822386095051671841576264574749012400085136165738193445425222150783518372816262123175465597705106566478751023972667666264663484236648439509779854251896329709796847806654238694858300537235880300678313038409866373822594681498126023321139982175040616650207192749170859585833906690789582571226261661117341950142984756287248246801191090279682401922427477733406372038110641973513406446369269534192657342358294086167961955340592910264555997262353091793341610234288281408772915071259700792914828942546767618505735987502043135084611116367450062196441854740799945559337651272497684832626186527912782835457264421244016216298639147815715712726150609683739873088862187379653767370552460152817848788927895769364547783511531637754974771832851014355208128159723134229237272713490061764995915999085106542036023142691462922005175285589935421138649915810619041474863794224659498780508327473274607400933084491051560031752396331223572546399498446615945355398215414977845996723346768481325921356716539317963325250703756308438801513900441140147090746644728677774499992699006431155389626690194626407993208205648108087679157874528790158833651371528449524715889424261934490688422364764770011166065244076092367430891996315739944512734973747945453115223259245616205810136202328805216628019548263616014457065651803141481592141583481488070764840567283298469119907680663291093550089126128043237863139067339702624823642077203440199717245881445051147147996787726900174185067722792795072171916024568457020151144612726879273578967312586911912569940790846428920386864170855991688232659390651529098760919116405816530972674838590223618147929200510589280199444067394409643375712319155222994565343564561160283566336424106660791234100703549259242815059804779368605001436373653575048096930002654383288263314927767595847929866922908106172200674361011409321289757012902411232760702772107644345104012899198425953960362911375980896342399849707869179753756886238831014205360946320132079253626036643356856821708535393325433101950218752263153419147115161782288014798516036352471909494526861482875774335622652936785096001342975417212993311920795989096540099843776772988299681322178279243599925370965021105521731483348763913562738729073313640791845329561134505697722136785849915781126716998324369050145340591542282382242080349640182960543146562451360187730982650618364770563442293148195502879801168368898236881813999884920615646781435045840425656790934841018455370388071144546545991849733204080863391339192595555021646911286728962371090705864545790023373534253066933724152257012269261505148790444506232495457466909405323372302721920784494543318794552075228119610825545551158550065656295683575839220088216392273469020494951086584174582163580402091184221422027984736992818490142073588742931230148930867807683354455804527950616135090375250253391673876437726411343461214025165808733357717456921128677304931105480294309596007258067445925173022996882531067951144666536293454225453339797039261796764323868884378118488833144476598214212785764515121045677885047840927691321003532639954030552483594486474318619402575812502635725289219578040786396686426749629817575339012566311245945200765424794840803748705534247744179050137785531212282322158371954916050485788740661317142066457329390304989334288083253186263026038661081338135688251266078111819672968952822505172037606987111059690260184202313797885044601987395087488233625336249565711631056353240053430270149890214723900642198136744926847965516770605160824078404338808726450582349966162468047354554027627807817696464198001055236662409999712619746796578491376378082392208532337754231544366844192266935497994792269206112254487408640328538389095084704970745420584733687459576655264769198197890964932757732506857276059185029497395237200958600603166568918048812343096678391970060598262253046233772051978390689503312200973332665483476823601068349067115550002615863087232777084061184894928465252973652683919888540356803765270668681508440543951225245809460442034157329359337369448613703840298860275423879619931802089341770471629021190047271683931514730258977617546026987366223248122522447130724591573003323174863768419743732045847847854335158431455809251279774611758266597526449578496280149390070635683580111730918809472913881581572996811010759251386672092483373938652013665051767409740522428108584091727584867953463554795994131394111643893528067725726285697084069580074587629545612}
30128  410862007425121766155340579202353582394204900929071429079849431924699242253364305274164: {421666,572071,602380,722856,782938,813213,933007,1023706,1113367,1324972,1384738,1745626,2226586,3131336,3161865,3372656,3522753,3764125,3794238,4027906,4168471,4516950,4575656,4747426,4818080,4967985,5147613,5299184,5420340,5420407,5781696,5825626,5961582,6312487,6375052,6504408,6782938,7317459,7376705,7462568,7676265,8188016,8216986,8268727,8395389,8852046,9211518,10006306,10383465,10538150,10721026,10922287,10927389,11075696,11910946,12460158,12645780,13089585,13488832,13559647,13564972,13696865,13962224,13991385,14435167,14784871,14924144,15054500,15174936,15707502,15707938,16006567,16180807,16225517,16436238,16789662,16884417,17071803,17482138,17745727,18065400,18308866,18324201,19269760,19566950,20014505,20077786,20323575,20340967,21374527,21678480,21718471,21814525,21843106,22195738,22839069,23123712,23179310,23480340,23582476,24017406,24308506,24388290,25045696,25070801,25142071,25431965,25653127,26014176,26088897,26171336,26177430,26299138,26503447,26843071,26989833,27117466,27351967,27467938,27503985,27815172,27922592,28176408,28592150,28874767,29043607,29156241,29265948,29337584,29442753,29680077,29992492,30127097,30518358,30559927,30703276,31064071,31412916,31698459,32901465,32939866,33004782,33113300,33341096,33912557,34310580,34741327,35094896,35333425,35373346,35815430,36069871,36597952,37162385,37228567,37243101,37508733,37915138,38054047,38062585,38491738,39066536,39481758,39643738,39735960,40191871,40219138,41172696,41301316,41828071,42154447,42385024,42400110,42670749,42746146,42978516,43038710,43433986,43478605,43663138,43782007,43949853,44023133,44268871,44337025,44594862,44702955,44800077,45078871,45226784,45563212,45675102,46179586,46319283,46550777,47675692,47683152,48083529,48170865,48232738,48300871,48446510,48574426,49067985,49143586,49421767,50167066,50379727,50880132,50984318,51164900,51382256,51643138,51646452,51811807,52023881,52174326,52339184,53204430,53333425,53643546,53682466,54698572,55265026,55603738,55939169,56124201,56699887,56743977,56751392,57012871,57610568,57805038,58083226,58135812,58199212,58881582,58928385,59001880,59661607,60436687,61003546,61397880,61615065,61787938,61893073,62131953,62856944,62890190,63359597,63466138,63519007,63845316,64000110,64024738,64285087,64321869,64359706,64716968,64806106,64811889,65491072,65722736,65875276,65964127,66105533,66268471,66377115,66433917,66501110,66814525,67434717,67482967,67810105,67820606,68266784,69034138,69072615,69209300,69352876,70047532,70364506,70714062,70802256,72687106,72742207,72806589,72834740,73337647,73677456,73938078,74011138,74319830,74341786,74525071,74821207,75468228,75594412,75707887,75992866,76297567,76687156,76800132,77712465,77766727,77913247,78627106,78644767,78778238,78955738,79020375,79374487,79652538,79801332,80177430,80279425,80528061,81372126,81408127,81688738,81842071,82016026,82275367,82502092,82561186,82852087,82887138,82893296,82996087,83051160,84288400,84955138,85433071,85522592,85718407,85823746,86638665,87124738,87401688,87621985,88040414,88587904,88697047,88747738,89183796,89185053,89314185,89380972,89503906,90151426,90513710,90665167,91767706,91982938,92414576,92735746,93095366,93254958,93432555,93476217,93494476,94071875,94666286,94667938,94824450,94835047,95268464,96210607,96212916,96231052,96274138,96335310,96488026,96759921,96886580,96914476,97203873,97578967,97715407,97876738,98326899,98410138,98644301,99661392,...,3570013763993909066839031428702326570655665751117851399105388551536122912018057537408018388681077164306184774514001864871052308482140868693896685349778749196423325756300505934651071471563211999870835933538602531587316683820328203875901452315193202860801025173175783415765380926873845479035164890246032338759351724673396371888235253732728237987952307432652615043241039471485950784522167903262753127935678546472975651652542955577076733579142577507762364396862123518600127704248607290168137833226175277559224393184763198396557659849718126535959001499396995226354972659264669781377844494564695271709981358042287450805853820451017469557614799560733892022247189034981709973262560924975310789123756289378750860036184373856839392491676012925214477134430872370201786635419523602883641216600109558057165962960270109669553904301288986013537441129251942933010889365396833995893529637690012415351432422113159372606889551189372243413820151427758603981253064702626916674551175093294662782111199918339006476908746527248939279791869174253185896631866024324447958721723573569089225914525609809633293281069480651055828690229226773183391843654046821675267297456632462157749276521532812192239584701343855909070235092647493873998627659813054034714037194383007762928384903131707974873715928562212295691336989248170762491209911911101399626736577340047628594496835358819599247669923918033097323122466768995085020152721988882035074808976944987876055634462658202270850661710220636119967093016661749989048509646733084440035291939611989812308472162131518736811793185238250477057292674287073834136392901736032633547147155016749097866114138551146337994473609916769102460621918179672834888868424308715204303493207824942029322395424021685598477704712222388212375222232106147260850924947703679861520994936640325133689192064856794708601009553937235463115805160299575868822167576720721995181590350261277601584189192608257874036852685530226716919090318910368450968880367868854911186269643380580296256283987532348989085977293648141378674608724796459012257885335427221893800765883920299166101091614465063568478732834491848015346841740425349504636159991186851151055323888864222589707169052907502154560480362572145395003981574932394972391651393771894800384362159258301011541517113981934635519353616849141054158161466517656019348797638930940544367063971344513599774561803769630635329358246521308041419480198118880439054965035285232562803089988149652925328128394730128720672742673432022197774054528707864241790292224313661503433979405177644002014463125819489967881193983644810149765665159482449521983267418865399888056447531658282597225023145870344108093609970461187767994341701758546583205178774873671690075497486553575218010887313423573363120524460274440814719843677040281596473975927547155845163439722293254319701752553347355322720999827380923470172152568760638485186402261527683055582106716819818987774599806121295087008788893332532470366930093443556636058796818685035060301379600400586228385518403892257723185666759348743186200364107985058454082881176741814978191828112842179416238318326737825098484443525363758830132324588410203530742426629876261873245370603136776332133041977105489227735213110383114396845223396301711525031683706791925924202635562875380087510814656589617015191821037748713100036576185381693015957396658220441464394010887101168887759534495323796601926716999804440181338180009695558892695146485803326567177733249716714897321319178646772681568516827571761391536981505298959931045828725391729711477929103863718753953587933829367061179595029640124444726363008518849466868917801148137192261205623058301371616268575206678296818423483237557932374075728683110991975713099685994085457484001432124879779394539057991622007203532376899117167729509453429233757758056410480666589535390276303470696827566902981092631232350438004374348567446584529860080145405224835322085850963297205117390271948275155907741236117606508213089675873524949243702071031831041441711726544696297001582854993614999568929620194867737064567123588312798506631347316550266288400403246992188403809168381731112960492807583642627057456118130877100531189364982897153797296836447399136598760285914088777544246092855801437900904749853377073218514645017587955090897393379569350658077967586034254968301459998998225215235401602523600673325003923794630849165626091777342392697879460479025879832810535205647906003022262660815926837868714190663051235994039006054172920555760448290413135819429897703134012655707443531785070907525897272095388466426319040481049334872183783670696086887359504984762295652629615598068771771781502737647183713876919661917637399896289674367744420224085105953525370167596378214209370822372359495216516138877080008138725060907978020497577651114610783642162876137591377301930195332193991197091167465840292101588589428545626104370111881444318418}
30129  412136729693404900264494752845441209109137763956886242297298529317464615558592266103677: {632499,752975,903570,963808,1084284,1174407,1535559,1656215,1987458,2077107,2618439,2739919,2951074,3339879,3914170,4003699,4215820,4636786,4697004,5058984,5087407,5691357,5719570,6022600,6041859,6529747,6623980,6775425,6863484,7121139,7164514,7227120,7433959,7708928,7948776,7968815,8130510,8609458,8672544,8738439,8942373,9328210,9562578,9598391,9691234,9756612,10174407,10235020,10862851,11193852,11764799,11802728,12216946,12282024,12325479,12580546,13058626,13278069,13302874,13817277,13844620,14569852,15009459,15546707,15807225,16081539,16613544,16861040,16956215,17452780,17866419,17994418,18655180,18690237,18818125,18968670,19438786,19508291,20233248,20347458,20943336,20959487,21724258,21914984,22386216,22512556,22581750,22762404,22899919,23466707,23561253,23561907,24087200,24432268,24654357,25184493,25289711,25670386,26223207,27083159,27098100,27463299,28904640,29173459,29350425,29398391,29478095,30116679,30452092,30708034,30831616,31307120,32023208,32493779,32517720,32714170,32764659,33293607,33619378,34183219,34685568,34768965,34785196,34903240,35220510,35322947,35373714,35740151,35986444,36026109,36462759,36582435,36671980,37086896,37490615,37568544,38379095,38874988,39021264,39257004,39266145,39448707,39573436,40187407,40676199,40691144,40773779,41201907,41391625,41676370,41722758,41883888,42264612,42279826,42370919,42888225,43868620,43898922,44006376,44959474,44988738,45747440,45777537,45796786,46054914,46182239,47119374,48833170,49409799,49507173,49511839,49657468,49669950,50011644,50409247,50509007,51465870,51528887,51626645,52341874,52642344,52981280,53060019,53723145,54896928,54999826,55313959,56533480,56627347,56872707,56894332,56954015,57304688,57507394,57737607,58599804,59222637,59459816,59465607,59594615,59603940,59733436,60328707,60900136,61146319,61759044,61829711,61951974,62876627,63577536,63600165,63956125,64111372,64119219,64227820,64467774,64558065,64838807,65150979,65423980,65494707,66892293,67840176,68009458,68344818,68373215,68512653,68861936,68955346,69269379,69565768,69648946,70939240,71513538,71524728,72013210,72348979,72349107,72531634,72640151,72669765,72749015,72861639,73715379,73752350,74802239,74832268,75250599,75658636,76320198,76476477,76747350,77073384,77395279,77458391,77464707,77469678,77514416,78261489,78508776,78551891,78571180,78814138,79806645,80369458,80465319,80523699,80862754,80896210,81863840,82047858,82153420,82344095,82462787,82842604,82897539,83359906,83405607,83789266,85127088,85333480,85762492,85952371,86415852,86511625,86691095,86707557,87124839,87203718,87298818,87559415,87727999,88322373,88502820,88578556,89912956,90147058,91043425,91215859,91505319,92096820,92226167,92681907,92745859,94210807,94285416,94335285,94403008,94493015,95199207,95609554,95767974,95858945,96000165,96037107,96539559,97075452,97153487,97209159,98236608,98584104,98812914,98982874,99751665,99981826,...,5355020645990863600258547143053489855983498626676777098658082827304184368027086306112027583021615746459277161771002797306578462723211303040845028024668123794634988634450758901976607207344817999806253900307903797380975025730492305813852178472789804291201537759763675123648071390310768218552747335369048508139027587010094557832352880599092356981928461148978922564861559207228926176783251854894129691903517819709463477478814433365615100368713866261643546595293185277900191556372910935252206749839262916338836589777144797594836489774577189803938502249095492839532458988897004672066766741847042907564972037063431176208780730676526204336422199341100838033370783552472564959893841387462966183685634434068126290054276560785259088737514019387821715701646308555302679953129285404325461824900164337085748944440405164504330856451933479020306161693877914399516334048095250993840294456535018623027148633169739058910334326784058365120730227141637905971879597053940375011826762639941994173166799877508509715363119790873408919687803761379778844947799036486671938082585360353633838871788414714449939921604220976583743035343840159775087765481070232512900946184948693236623914782299218288359377052015783863605352638971240810997941489719581052071055791574511644392577354697561962310573892843318443537005483872256143736814867866652099440104866010071442891745253038229398871504885877049645984683700153492627530229082983323052612213465417481814083451693987303406275992565330954179950639524992624983572764470099626660052937909417984718462708243197278105217689777857375715585939011430610751204589352604048950320720732525123646799171207826719506991710414875153653690932877269509252333302636463072806455239811737413043983593136032528397716557068333582318562833348159220891276387421555519792281492404960487700533788097285192062901514330905853194673707740449363803233251365081082992772385525391916402376283788912386811055279028295340075378635478365552676453320551803282366779404465070870444384425981298523483628965940472212068011913087194688518386828003140832840701148825880448749151637421697595352718099251737772023020262610638024256954239986780276726582985833296333884560753579361253231840720543858218092505972362398592458587477090657842200576543238887451517312275670972901953279030425273711581237242199776484029023196458396410816550595957016770399661842705654445952994037369781962062129220297178320658582447552927848844204634982224479387992192592095193081009114010148033296661081793061796362685438336470492255150969107766466003021694688729234951821790975467215224648497739223674282974901128298099832084671297487423895837534718805516162140414955691781651991512552637819874807768162310507535113246229830362827016330970135360044680786690411661222079765515560422394710963891320733767745159583439881479552628830021032984081499741071385205258228853140957727779603392291524583373160075229728481661899709181942630513183339998798705550395140165334954088195228027552590452069400600879342578277605838386584778500139023114779300546161977587681124321765112722467287742169263269124357477490106737647726665288045638245198486882615305296113639944814392809868055904705164498199562965658233841602819665574671595267835094452567287547525560187888886303953344313070131266221984884425522787731556623069650054864278072539523936094987330662196591016330651753331639301742985694902890075499706660272007270014543338339042719728704989850766599874575072345981978767970159022352775241357642087305472257948439896568743088087594567216893655795578130930381900744050591769392544460186667089544512778274200303376701722205788391808434587452057424402862810017445227635224856336898561113593024666487963569649528991128186226002148187319669091808586987433010805298565348675751594264180143850636637084615720999884303085414455206045241350354471638946848525657006561522851169876794790120218107837252983128776444945807676085407922412733861611854176409762319634513810287423865553106547746562162567589817044445502374282490422499353394430292301605596850685382469197759947020974825399432600604870488282605713752572596669440739211375463940586184177196315650796784047474345730695945254671098704898140428871133166316369139283702156851357124780065609827771967526381932636346090069354025987116951379051382452452189998497337822853102403785401009987505885691946273748439137666013589046819190718538819749215802808471859004533393991223890256803071285994576853991058509081259380833640672435619703729144846554701018983561165297677606361288845908143082699639478560721574002308275675506044130331039257477143443478944423397103157657672254106470775570815379492876456099844434511551616630336127658930288055251394567321314056233558539242824774208315620012208087591361967030746366476671916175463244314206387065952895292998290986795636751198760438152382884142818439156555167822166477627}
30130  413415383854929247121611597479389580005653013566364938834170852265347204530011615664305: {331309,511921,843332,1144142,1204760,1233649,1355355,1445712,1565876,1626426,1774189,1866014,2047412,2134189,2226734,2493901,2649944,2769476,2981187,3032929,3491252,4426611,4453172,5269775,5871255,6262672,6323730,6745312,6955179,7045506,7499629,7528250,7588476,7677361,7855021,8055812,8279975,8336942,8579355,8742241,9033900,9151312,9273709,9494852,9636160,9935970,10295226,10327387,10598368,10746771,10840680,10840814,11563392,11569249,11651252,11923164,12195765,12624974,12750104,12793775,12914187,13008816,13565876,13677409,13852621,13992315,14343867,14536851,14634918,14753410,14925136,15352530,16376032,16433972,16472161,16537454,16646221,16790778,17305775,17515441,17689069,17704092,18212315,18325419,18423036,18870819,19075501,19175611,19587939,19939681,19954311,20012612,20629729,20766930,21076300,21146509,21442052,21815975,21834541,21844574,21854778,22151392,23318975,23378401,23821892,24233581,24920316,25291560,25938541,26179170,26977664,26991627,27119294,27127729,27129944,27393730,27924448,27982770,28020307,28140695,28453005,28482481,28651501,28870334,29158179,29569742,29848288,30109000,30349872,30521187,30540335,31415004,31415876,31849201,32013134,32016781,32184289,32361614,32451034,32586387,32872476,33354829,33579324,33768834,33872625,34143606,34188769,34964276,35491454,35519329,35604751,36130800,36348589,36617732,36648402,38065115,38505579,38539520,39133900,40029010,40059107,40155572,40647150,40681934,40959181,41122801,42429169,42592141,42749054,42917869,43243309,43356960,43436942,43481495,43568461,43629050,43686212,44391476,44542189,44866189,44983055,45189901,45678138,45839975,45997921,46062051,46247424,46358620,46643041,46960680,47164952,47447821,48034812,48250801,48593735,48617012,48776580,48891889,49071255,49466795,50091392,50141602,50284142,50429067,50863930,51285709,51306254,51603661,52027339,52028352,52177794,52238701,52342672,52354860,52598276,52830765,53006894,53060571,53287619,53663329,53686142,53979666,54234932,54703934,54835775,54924769,54935876,55007970,55630344,55710829,55845184,56352816,57184300,57749534,58087214,58312482,58531896,58675168,58837069,58885506,59148109,59360154,59614129,59984984,60254194,60870047,61036716,61119854,61406552,61780321,61897187,62071835,62128142,62396641,62514555,62584137,62825832,63396918,63419739,65003149,65308429,65460961,65802930,65848383,65879732,66009564,66070369,66109927,66226600,66374641,66682192,67439211,67483107,67588849,67825114,68496481,68621160,68695179,69082371,69174611,69482654,70189792,70303969,70666850,70679061,70746692,71054029,71117915,71353549,71630860,72101089,72139742,73146359,73195904,73249755,73887841,74036269,74324770,74457134,74486202,74504925,74666795,75017466,75830276,76108094,76125170,76548529,76983476,77198805,78133072,78512811,78963516,79287476,79471920,79914349,80139215,80284775,80383742,80438276,81779975,81944461,82345392,82499739,82602632,83656142,84247309,84308894,84677041,84770048,84800220,85341498,85492292,85957032,86077420,86247181,86261091,86389489,86867972,86957210,87326276,87383629,87564014,87899706,88046266,88537742,88674050,89189724,89220529,89405910,89600154,89642701,90157742,90204589,90453568,91045261,91126424,91185121,91350204,92022769,92301409,92359172,92638566,92927961,93101554,93540335,93967201,94105549,94520161,94573295,94934147,95351384,95366304,95897521,96167058,96341730,96465476,96601742,96701661,96893020,97130989,97148852,98135970,98213975,98287172,98843534,...,7140027527987818133678062857404653141311331502235702798210777103072245824036115074816036777362154328612369549028003729742104616964281737387793370699557498392846651512601011869302142943126423999741671867077205063174633367640656407751802904630386405721602050346351566831530761853747690958070329780492064677518703449346792743776470507465456475975904614865305230086482078942971901569044335806525506255871357092945951303305085911154153467158285155015524728793724247037200255408497214580336275666452350555118448786369526396793115319699436253071918002998793990452709945318529339562755688989129390543419962716084574901611707640902034939115229599121467784044494378069963419946525121849950621578247512578757501720072368747713678784983352025850428954268861744740403573270839047205767282433200219116114331925920540219339107808602577972027074882258503885866021778730793667991787059275380024830702864844226318745213779102378744486827640302855517207962506129405253833349102350186589325564222399836678012953817493054497878559583738348506371793263732048648895917443447147138178451829051219619266586562138961302111657380458453546366783687308093643350534594913264924315498553043065624384479169402687711818140470185294987747997255319626108069428074388766015525856769806263415949747431857124424591382673978496341524982419823822202799253473154680095257188993670717639198495339847836066194646244933537990170040305443977764070149617953889975752111268925316404541701323420441272239934186033323499978097019293466168880070583879223979624616944324263037473623586370476500954114585348574147668272785803472065267094294310033498195732228277102292675988947219833538204921243836359345669777736848617430408606986415649884058644790848043371196955409424444776424750444464212294521701849895407359723041989873280650267378384129713589417202019107874470926231610320599151737644335153441443990363180700522555203168378385216515748073705371060453433838180637820736901937760735737709822372539286761160592512567975064697978171954587296282757349217449592918024515770670854443787601531767840598332202183228930127136957465668983696030693683480850699009272319982373702302110647777728445179414338105815004309120960725144290790007963149864789944783302787543789600768724318516602023083034227963869271038707233698282108316322933035312038697595277861881088734127942689027199549123607539261270658716493042616082838960396237760878109930070570465125606179976299305850656256789460257441345485346864044395548109057415728483580584448627323006867958810355288004028926251638979935762387967289620299531330318964899043966534837730799776112895063316565194450046291740688216187219940922375535988683403517093166410357549747343380150994973107150436021774626847146726241048920548881629439687354080563192947951855094311690326879444586508639403505106694710645441999654761846940344305137521276970372804523055366111164213433639637975549199612242590174017577786665064940733860186887113272117593637370070120602759200801172456771036807784515446371333518697486372400728215970116908165762353483629956383656225684358832476636653475650196968887050727517660264649176820407061484853259752523746490741206273552664266083954210978455470426220766228793690446792603423050063367413583851848405271125750760175021629313179234030383642075497426200073152370763386031914793316440882928788021774202337775519068990647593203853433999608880362676360019391117785390292971606653134355466499433429794642638357293545363137033655143522783073963010597919862091657450783459422955858207727437507907175867658734122359190059280248889452726017037698933737835602296274384522411246116602743232537150413356593636846966475115864748151457366221983951426199371988170914968002864249759558789078115983244014407064753798234335459018906858467515516112820961333179070780552606941393655133805962185262464700876008748697134893169059720160290810449670644171701926594410234780543896550311815482472235213016426179351747049898487404142063662082883423453089392594003165709987229999137859240389735474129134247176625597013262694633100532576800806493984376807618336763462225920985615167285254114912236261754201062378729965794307594593672894798273197520571828177555088492185711602875801809499706754146437029290035175910181794786759138701316155935172068509936602919997996450430470803205047201346650007847589261698331252183554684785395758920958051759665621070411295812006044525321631853675737428381326102471988078012108345841111520896580826271638859795406268025311414887063570141815051794544190776932852638080962098669744367567341392173774719009969524591305259231196137543543563005475294367427753839323835274799792579348735488840448170211907050740335192756428418741644744718990433032277754160016277450121815956040995155302229221567284325752275182754603860390664387982394182334931680584203177178857091252208740223762888636836}
30131  414697981967058929704751919405649768785666648977832458361481999720063477024517182178032: {1054165,1264998,1505950,1716213,1807140,1927616,1957345,2168568,2318701,2348814,2439639,2559265,2799021,3071118,3312430,3340101,3461845,3643189,3974916,4154214,4364065,5236878,5479838,5566465,5629261,5902148,6679758,7614541,7828340,8007398,8431640,8698033,9273572,9394008,9485595,9599029,10069765,10117968,10174814,10260349,10568259,11156341,11292375,11343553,11382714,11439140,11765581,11868565,12045200,12083718,12505413,13059494,13148893,13247960,13550850,13726968,14242278,14329028,14454240,14564065,14867918,14903955,15417856,15442839,15897552,15937630,16261020,16261221,16957345,17218916,17345088,17476878,17884746,18373381,18656420,18937461,19125156,19196782,19382468,19513224,20169589,20348814,20470040,20542465,21725702,21952377,21981901,22130115,22387704,23028795,23055253,23425309,23529598,23605456,23738701,24127741,24433892,24564048,24650958,24806181,25015765,25161092,25186167,25590421,26117252,26345375,26556138,26605748,26802565,27033829,27634554,27689240,27733381,29139704,29777365,30018918,30269413,31093414,31150395,31614450,32163078,32766861,32782167,33227088,33722080,33912430,34223533,34743553,34905560,35325301,35732838,35983189,35988836,37310360,37380474,37483573,37636250,37937340,38204989,38877572,39016582,39268755,39269845,40466496,40678941,40694916,41090595,41269333,41745301,41886672,41918974,41974155,42155941,43214149,43305501,43448516,43705345,43829968,44354613,44772432,45025112,45163500,45184381,45524808,45772165,45799838,46933414,47122506,47123814,47355733,48019701,48174400,48542421,48676551,48864536,48917375,49308714,49367221,50194465,50368986,50579422,50653251,51215409,51340772,51532321,52251733,52446414,52486861,52549261,52972861,53237181,53730733,54166318,54196200,54562693,54607765,54926598,54972603,55489345,56989141,57591109,57809280,57948275,58346918,58700850,58796782,58956190,60043515,60233358,60771265,60904184,60970725,61022901,61416068,61663232,62614240,63535021,63571393,64046416,64123581,64987558,65035440,65155413,65428340,65443575,65497069,65529318,65747845,66093829,66587214,66772141,66954541,67238756,67793665,68366438,68517207,68669845,69371136,69537930,69570392,69806480,70441020,70645894,70747428,71480302,71480375,71972888,72052218,72277303,72925518,73164870,73343960,74173792,74308741,74981230,75102529,75137088,75212403,75426213,76183573,76295895,76627681,76758190,76959381,77463553,77749976,78042528,78266691,78514008,78532290,78557149,78897414,79146872,79209229,79510341,79735621,80374814,80529213,80969499,81352398,81382288,81547558,82055901,82349665,82403814,82511955,82783250,82800349,83352740,83432461,83445516,83767776,84422701,84529224,84559652,84741838,85019533,85776450,86624301,87130821,87468723,87737240,87797844,88012752,88328259,88329109,88433365,89040231,89538575,89918948,89977476,90381291,91494880,91555074,91593572,91679781,92109828,92163781,92364478,92834053,92882581,93192213,94238748,94787845,95095377,95722501,96229345,97205629,97456021,97666340,98170801,98273953,98704395,98819598,99014346,99023678,99109345,99314936,99339900,...,10710041291981727200517094286106979711966997253353554197316165654608368736054172612224055166043231492918554323542005594613156925446422606081690056049336247589269977268901517803953214414689635999612507800615807594761950051460984611627704356945579608582403075519527350247296142780621536437105494670738097016278055174020189115664705761198184713963856922297957845129723118414457852353566503709788259383807035639418926954957628866731230200737427732523287093190586370555800383112745821870504413499678525832677673179554289595189672979549154379607877004498190985679064917977794009344133533483694085815129944074126862352417561461353052408672844398682201676066741567104945129919787682774925932367371268868136252580108553121570518177475028038775643431403292617110605359906258570808650923649800328674171497888880810329008661712903866958040612323387755828799032668096190501987680588913070037246054297266339478117820668653568116730241460454283275811943759194107880750023653525279883988346333599755017019430726239581746817839375607522759557689895598072973343876165170720707267677743576829428899879843208441953167486070687680319550175530962140465025801892369897386473247829564598436576718754104031567727210705277942481621995882979439162104142111583149023288785154709395123924621147785686636887074010967744512287473629735733304198880209732020142885783490506076458797743009771754099291969367400306985255060458165966646105224426930834963628166903387974606812551985130661908359901279049985249967145528940199253320105875818835969436925416486394556210435379555714751431171878022861221502409178705208097900641441465050247293598342415653439013983420829750307307381865754539018504666605272926145612910479623474826087967186272065056795433114136667164637125666696318441782552774843111039584562984809920975401067576194570384125803028661811706389347415480898727606466502730162165985544771050783832804752567577824773622110558056590680150757270956731105352906641103606564733558808930141740888768851962597046967257931880944424136023826174389377036773656006281665681402297651760897498303274843395190705436198503475544046040525221276048513908479973560553453165971666592667769121507158722506463681441087716436185011944724797184917174954181315684401153086477774903034624551341945803906558060850547423162474484399552968058046392916792821633101191914033540799323685411308891905988074739563924124258440594356641317164895105855697688409269964448958775984385184190386162018228020296066593322163586123592725370876672940984510301938215532932006043389377458469903643581950934430449296995478447348565949802256596199664169342594974847791675069437611032324280829911383563303983025105275639749615536324621015070226492459660725654032661940270720089361573380823322444159531031120844789421927782641467535490319166879762959105257660042065968162999482142770410516457706281915455559206784583049166746320150459456963323799418363885261026366679997597411100790280330669908176390456055105180904138801201758685156555211676773169557000278046229558601092323955175362248643530225444934575484338526538248714954980213475295453330576091276490396973765230610592227279889628785619736111809410328996399125931316467683205639331149343190535670188905134575095051120375777772607906688626140262532443969768851045575463113246139300109728556145079047872189974661324393182032661303506663278603485971389805780150999413320544014540029086676678085439457409979701533199749150144691963957535940318044705550482715284174610944515896879793137486176175189134433787311591156261860763801488101183538785088920373334179089025556548400606753403444411576783616869174904114848805725620034890455270449712673797122227186049332975927139299057982256372452004296374639338183617173974866021610597130697351503188528360287701273274169231441999768606170828910412090482700708943277893697051314013123045702339753589580240436215674505966257552889891615352170815844825467723223708352819524639269027620574847731106213095493124325135179634088891004748564980844998706788860584603211193701370764938395519894041949650798865201209740976565211427505145193338881478422750927881172368354392631301593568094948691461391890509342197409796280857742266332632738278567404313702714249560131219655543935052763865272692180138708051974233902758102764904904379996994675645706204807570802019975011771383892547496878275332027178093638381437077639498431605616943718009066787982447780513606142571989153707982117018162518761667281344871239407458289693109402037967122330595355212722577691816286165399278957121443148004616551351012088260662078514954286886957888846794206315315344508212941551141630758985752912199688869023103233260672255317860576110502789134642628112467117078485649548416631240024416175182723934061492732953343832350926488628412774131905790585996581973591273502397520876304765768285636878313110335644332955254}
30132  415984536123917231096048128634034329340390428404015128370248192679955953310929531085664: {391547,572147,662618,692507,872987,1023842,1233731,1293827,1686664,1834331,1897497,2194307,2258925,2288284,2409520,2467298,2710710,2891424,3092987,3131752,3252852,3523221,3548378,3732028,4094824,4268378,4453468,4467467,4606677,4968645,4987802,5182907,5299888,5538952,5962374,6065858,6231321,6313331,6982504,7377685,7500131,7855317,8033147,8219757,8388131,8853222,8906344,9333347,9785425,10019637,10539550,11100107,11276387,11591965,11742510,12011097,12156707,12525344,12647460,13327667,13490624,13678331,13736747,13910358,14091012,14298925,14553731,14786867,14903387,14999258,15056500,15176952,15262221,15354722,15427331,15710042,16111624,16559950,16647347,16673884,17074071,17158710,17484482,17748131,17911285,18067800,18125577,18302624,18547418,18615131,18989704,19272320,19422707,19589241,19871940,20326275,20590452,20654774,20860907,21196736,21363417,21493542,21523645,21549467,21681360,21681628,21836027,22301877,22580147,23126784,23138498,23302504,23320525,23846328,23906445,24064331,24228085,24292187,24391530,25249948,25259147,25497241,25500208,25587550,25770131,25828374,26017632,26215317,26620331,26827119,27131752,27354818,27468731,27705242,27807587,27984630,28687734,28795173,29073702,29269836,29385107,29506820,29850272,30003131,30523221,30542365,30705060,31068347,31451365,32186507,32577107,32588553,32646565,32752064,32867944,32944322,33074908,33257185,33292442,33412787,33581556,33913331,34611550,35030882,35294397,35355707,35378138,35408184,35577131,36424630,36650838,36846072,36976437,37178627,37741638,38004347,38151002,38351222,39157331,39175878,39396973,39486107,39705131,39834207,39879362,39908622,40025224,40470707,41016587,41259458,41451831,41533860,42152600,42160331,42293018,42486467,42649427,42756469,42884104,43246331,43631950,43669082,43689148,43709556,44302784,44383187,44545307,44986045,45028377,45193067,46162547,46637950,46640121,46756802,47342581,47421675,47504747,47643784,48147227,48244617,48307667,48467162,48596965,48895331,48948707,49840632,50546267,50583120,50868645,51607307,51877082,52358340,53291161,53599257,53955328,53982947,53983254,54238588,54255458,54259888,54310645,54456131,54787460,54928667,54981131,55848896,55965540,56040614,56070711,56281390,56454375,56906010,56964962,57303002,57740668,57906347,58316358,58374131,58524873,59139484,59204147,59670131,59696576,60218000,60699744,60874093,60909587,61042374,61080670,61784747,62452427,62830008,62831752,62878461,62976277,63528131,63698402,64026268,64033562,64175965,64243307,64368578,64723228,64855067,64902068,65007827,65058731,65172774,65744952,66075131,66125867,66278027,66379427,66531467,66709658,67158648,67537668,67593731,67745250,68031229,68047907,68287212,68377538,68699757,69179209,69253513,69607331,69928552,70309067,70359131,70400121,70683759,70685721,70982908,71038658,71209502,71358731,71408627,72261600,72697178,73151221,73235464,73296804,73645667,73963071,75553479,75869133,76130230,76603187,76770085,77011158,77079040,77338067,77778131,78022331,78267800,78461387,78669621,80058020,80118214,80259587,80311144,81249477,81294300,81363868,81751813,81785425,81918362,81950507,82245602,82383731,82389897,83535827,84048445,84301331,84858338,85184282,85498108,85731131,85835738,86445697,86486618,86713920,86869787,86873884,86900569,86962990,87136922,87258100,87372424,87390131,87437387,87520377,87862331,88051275,88195173,88434285,88522067,88782952,88992347,89084378,89274131,89732378,89966110,90258107,90350037,90379802,91356276,91657667,91679950,91995842,92029667,92124102,92354747,92494848,92717240,93003731,93188867,93286082,93921360,94158731,94329904,94573307,94849331,94895642,95354627,96069624,96225131,96499427,96501602,97183907,97187470,97234024,97481337,97553160,97783778,97821131,98002907,98142510,98293977,98547467,98683427,98933590,99181331,99565081,99880821,99903827,...,16065061937972590800775641429160469567950495880030331295974248481912553104081258918336082749064847239377831485313008391919735388169633909122535084074004371383904965903352276705929821622034453999418761700923711392142925077191476917441556535418369412873604613279291025370944214170932304655658242006107145524417082761030283673497058641797277070945785383446936767694584677621686778530349755564682389075710553459128390432436443300096845301106141598784930639785879555833700574669118732805756620249517788749016509769331434392784509469323731569411815506747286478518597376966691014016200300225541128722694916111190293528626342192029578613009266598023302514100112350657417694879681524162388898551056903302204378870162829682355777266212542058163465147104938925665908039859387856212976385474700493011257246833321215493512992569355800437060918485081633743198549002144285752981520883369605055869081445899509217176731002980352175095362190681424913717915638791161821125035480287919825982519500399632525529146089359372620226759063411284139336534843397109460015814247756081060901516615365244143349819764812662929751229106031520479325263296443210697538702838554846079709871744346897654865078131156047351590816057916913722432993824469158743156213167374723534933177732064092685886931721678529955330611016451616768431210444603599956298320314598030214328675235759114688196614514657631148937954051100460477882590687248949969157836640396252445442250355081961910218827977695992862539851918574977874950718293410298879980158813728253954155388124729591834315653069333572127146757817034291832253613768057812146850962162197575370940397513623480158520975131244625460961072798631808527756999907909389218419365719435212239131950779408097585193149671205000746955688500044477662673829162264666559376844477214881463101601364291855576188704542992717559584021123221348091409699754095243248978317156576175749207128851366737160433165837084886020226135906435096658029359961655409847100338213395212611333153277943895570450886897821416636204035739261584065555160484009422498522103446477641346247454912265092786058154297755213316069060787831914072770862719960340830179748957499889001653682260738083759695522161631574654277517917087195777375762431271973526601729629716662354551936827012918705859837091275821134743711726599329452087069589375189232449651787871050311198985528116963337858982112109345886186387660891534961975747342658783546532613904946673438163976577776285579243027342030444099889983245379185389088056315009411476765452907323299398009065084066187704855465372926401645673945493217671022848924703384894299496254013892462271687512604156416548486421244867075344955974537657913459624423304486931522605339738689491088481048992910406080134042360071234983666239296546681267184132891673962201303235478750319644438657886490063098952244499223214155615774686559422873183338810176874573750119480225689185444985699127545827891539550019996396116651185420496004862264585684082657771356208201802638027734832817515159754335500417069344337901638485932763043372965295338167401863226507789807373072432470320212943179995864136914735595460647845915888340919834443178429604167714115493494598688896974701524808458996724014785803505283357701862642576680563666658911860032939210393798665954653276568363194669869208950164592834217618571808284961991986589773048991955259994917905228957084708670226499119980816021810043630015017128159186114969552299799623725217037945936303910477067058325724072926261916416773845319689706229264262783701650680967386734392791145702232151775308177633380560001268633538334822600910130105166617365175425303762356172273208588430052335682905674569010695683340779073999463890708948586973384558678006444561959007275425760962299032415895696046027254782792540431551909911253847162999652909256243365618135724051063414916840545576971019684568553509630384370360654323511758949386329334837423028256223767238201584835562529229286958903541430862271596659319643239686487702769451133336507122847471267498060183290876904816790552056147407593279841062924476198297801814611464847817141257717790008322217634126391821758552531588946952390352142423037192087835764013296114694421286613399498949107417851106470554071374340196829483315902579145797909038270208062077961350854137154147357356569995492013468559307211356203029962517657075838821245317412998040767140457572155616459247647408425415577013600181973671670770409213857983730561973175527243778142500922017306859111187434539664103056950683495893032819083866537724429248098918435682164722006924827026518132390993117772431430330436833270191309472973016762319412326712446138478629368299533303534654849891008382976790864165754183701963942168700675617728474322624946860036624262774085901092239099430015748526389732942619161197858685878994872960386910253596281314457148652428455317469665503466499432881}
30133  417275058456498008395096079000045067749710578237735986210486005827658734597561809252316: {30133,993927,1475831,1535763,2108330,2529996,2740283,2860355,3011900,3432426,3582971,3614280,3700947,3855232,3914690,4066065,4305587,4337136,4637402,4665035,4697628,4846583,4879278,5118530,5322567,5566835,5598042,6109691,6142236,6291527,6402567,6624860,6652763,6680202,6923690,7286378,7481703,7793051,7949832,8308428,8728130,8943561,8999003,9098787,9721331,10261031,10473756,10959676,11132930,11258522,11344307,11804296,12125867,13149767,13279833,13359516,14097671,15229082,15656680,15809325,16014796,16615991,16863280,17396066,17613765,18547144,18788016,18820625,18971190,19198058,20139530,20235936,20349628,20389691,20520698,20842355,20865537,21136518,22312682,22498887,22584750,22687106,22765428,22878280,23032083,23531162,23565063,23737130,23740283,23836787,24090400,24167436,24568007,24839925,25010826,25738065,26118988,26226723,26297786,26495920,27101700,27102035,27453936,27821127,28484556,28514603,28658056,28759451,28898231,28908480,29128130,29735836,29807910,30835712,30885678,30982161,31562435,31795104,31875260,32240313,32522040,32522442,33914690,34437832,34690176,34707747,34953756,35022071,35769492,35985587,36587295,36746762,36883525,37312840,37523591,37874922,38249831,38250312,38381325,38393564,38742561,38764936,39026448,40068647,40339178,40697628,40940080,41032227,41084930,41150771,41343635,41557863,41688311,41748083,41976945,42525587,43031601,43451404,43610553,43904754,43963802,44260230,44775408,45844007,46057590,46110506,46850618,47059196,47210912,47477402,48255482,48867784,49128096,49301916,49416483,49612362,49938663,50031530,50322184,50372334,51071267,51180842,51917325,52234504,52546323,52552763,52690750,53067207,53112276,53211496,53399723,53605130,53716487,54067658,54611435,54636945,54976257,54977783,55269108,55378480,55466762,55556903,56612457,57226503,57526833,57594947,58279408,58731527,58763817,59554730,59819043,59862933,60037836,60538826,61187483,61889187,62186828,62300790,63228900,63439527,64081031,64326156,64746251,65447925,65503623,65533722,65564334,66454176,66959003,67350803,67444160,67798235,67824860,67955627,68447066,68484325,69487106,69811120,69956925,70135203,70272251,70650602,71465676,71966378,71977672,72175835,72700743,73924355,74441891,74620720,74627687,74760948,74967146,75086843,75272500,75874680,76409978,76450871,77405627,77685083,77755144,77815623,78033164,78537510,78539690,78766067,79214531,79960571,80032835,80904035,80932992,80974881,81127585,81357882,81383187,81389832,82181190,82538666,82805867,83490602,83773344,83837948,83948310,84060921,84311882,84422085,85079771,85359015,85447443,85954503,86428298,86611002,86897032,87410690,87474537,87580343,87659936,88709226,88728635,88985831,89544864,90050224,90327000,90368762,91049616,91544330,91563561,91599676,91621005,92046983,92169923,92840267,93610907,93866828,94245012,94247628,94711466,94911131,95021831,95547603,96039402,96050343,96137783,96348800,96552867,97084842,97212107,97353102,97729072,97759161,97834750,98617428,98734442,99772283,...,21420082583963454401034188572213959423933994506707108394632331309216737472108345224448110332086462985837108647084011189226313850892845212163380112098672495178539954537803035607906428829379271999225015601231615189523900102921969223255408713891159217164806151039054700494592285561243072874210989341476194032556110348040378231329411522396369427927713844595915690259446236828915704707133007419576518767614071278837853909915257733462460401474855465046574186381172741111600766225491643741008826999357051665355346359108579190379345959098308759215754008996381971358129835955588018688267066967388171630259888148253724704835122922706104817345688797364403352133483134209890259839575365549851864734742537736272505160217106243141036354950056077551286862806585234221210719812517141617301847299600657348342995777761620658017323425807733916081224646775511657598065336192381003975361177826140074492108594532678956235641337307136233460482920908566551623887518388215761500047307050559767976692667199510034038861452479163493635678751215045519115379791196145946687752330341441414535355487153658857799759686416883906334972141375360639100351061924280930051603784739794772946495659129196873153437508208063135454421410555884963243991765958878324208284223166298046577570309418790247849242295571373273774148021935489024574947259471466608397760419464040285771566981012152917595486019543508198583938734800613970510120916331933292210448853861669927256333806775949213625103970261323816719802558099970499934291057880398506640211751637671938873850832972789112420870759111429502862343756045722443004818357410416195801282882930100494587196684831306878027966841659500614614763731509078037009333210545852291225820959246949652175934372544130113590866228273334329274251333392636883565105549686222079169125969619841950802135152389140768251606057323623412778694830961797455212933005460324331971089542101567665609505135155649547244221116113181360301514541913462210705813282207213129467117617860283481777537703925194093934515863761888848272047652348778754073547312012563331362804595303521794996606549686790381410872397006951088092081050442552097027816959947121106906331943333185335538243014317445012927362882175432872370023889449594369834349908362631368802306172955549806069249102683891607813116121701094846324948968799105936116092785833585643266202383828067081598647370822617783811976149479127848248516881188713282634329790211711395376818539928897917551968770368380772324036456040592133186644327172247185450741753345881969020603876431065864012086778754916939807287163901868860898593990956894697131899604513192399328338685189949695583350138875222064648561659822767126607966050210551279499231072649242030140452984919321451308065323880541440178723146761646644888319062062241689578843855565282935070980638333759525918210515320084131936325998964285540821032915412563830911118413569166098333492640300918913926647598836727770522052733359995194822201580560661339816352780912110210361808277602403517370313110423353546339114000556092459117202184647910350724497287060450889869150968677053076497429909960426950590906661152182552980793947530461221184454559779257571239472223618820657992798251862632935366411278662298686381071340377810269150190102240751555545215813377252280525064887939537702091150926226492278600219457112290158095744379949322648786364065322607013326557206971942779611560301998826641088029080058173353356170878914819959403066399498300289383927915071880636089411100965430568349221889031793759586274972352350378268867574623182312523721527602976202367077570177840746668358178051113096801213506806888823153567233738349808229697611451240069780910540899425347594244454372098665951854278598115964512744904008592749278676367234347949732043221194261394703006377056720575402546548338462883999537212341657820824180965401417886555787394102628026246091404679507179160480872431349011932515105779783230704341631689650935446447416705639049278538055241149695462212426190986248650270359268177782009497129961689997413577721169206422387402741529876791039788083899301597730402419481953130422855010290386677762956845501855762344736708785262603187136189897382922783781018684394819592561715484532665265476557134808627405428499120262439311087870105527730545384360277416103948467805516205529809808759993989351291412409615141604039950023542767785094993756550664054356187276762874155278996863211233887436018133575964895561027212285143978307415964234036325037523334562689742478814916579386218804075934244661190710425445155383632572330798557914242886296009233102702024176521324157029908573773915777693588412630630689016425883102283261517971505824399377738046206466521344510635721152221005578269285256224934234156971299096833262480048832350365447868122985465906687664701852977256825548263811581171993163947182547004795041752609531536571273756626220671288665910508}
30134  418569561132777442348391786194271294581868424479886124529951812293345566912585435651611: {783094,933193,1113589,1144294,1293913,1325236,1385014,1745974,2047684,2467462,2587654,3162495,3373328,3668662,3764875,3794994,4388614,4517850,4527433,4576568,4819040,4934596,5148639,5421420,5782848,5872035,6185974,6263504,6505704,6956103,7046442,7096756,7318917,7464056,7677795,8092873,8189648,8281075,8397063,8447833,8536756,8906936,8934934,9213354,9864793,9937290,9975604,10020303,10328759,10365814,10385535,10599776,10929567,11077904,11100853,11924748,12131716,12462642,12626662,13092195,13699595,13737673,13965008,14755370,15000262,15486553,15710634,16066294,16184089,16228751,16439514,16699395,16776262,16887783,17706444,17812688,17922889,18666694,19481653,19570850,20018495,20039274,20345113,21079100,21550933,22066633,22200214,22552774,22843623,23096089,23183930,23485020,24022194,24122953,24313414,25050688,25075799,25294920,25437035,25828633,26094099,26655334,26981248,27356662,27473494,27820716,28182024,28204489,28456785,28597850,28797087,29049589,29107462,29573734,29806774,29998516,30061333,30113000,30133103,30209295,30353904,30524442,30709444,30781047,30854662,31420084,31704777,32223248,32411989,32648735,33119900,33294694,33347768,33469023,33877125,33919319,34030659,34148142,34317420,34748533,34968964,35081173,35296743,35496262,35605695,35822570,36135600,36251154,36605248,37094836,37169795,37230262,37236313,37401589,37516239,37979408,38061973,38226889,38544640,38845414,39178482,39446679,39707893,39743880,39844075,40652550,40855753,41180904,41309548,41510089,41721814,42163273,42393472,42726834,42759311,42987084,43047290,43098934,43362720,43363256,43672054,43692195,43791193,44031911,44115913,44603754,44711865,45160294,45573589,45705191,46219573,46253568,46276996,46328517,46560059,46605008,46641050,47186389,47692656,47812890,47991955,48128662,48456170,48584374,48783060,48783663,48952153,49432213,49592089,50499896,50518294,50549833,50872035,50994482,51000416,51175100,51540262,51656748,52035264,52430634,53240662,53654238,54263504,54314255,54512533,54709636,54937462,54985033,55120143,55410484,55615174,55950323,55969260,56555353,56812383,57375468,57590346,57650293,58147404,58430233,58539672,58770214,58823995,59013640,59700544,59829589,60006262,60508767,61046442,61084730,61410120,61627395,62136694,62764633,62902730,62980463,63686089,64298953,64373014,65063413,65154214,65177106,65293130,65504128,65735888,65826073,65857131,65888644,65945703,66130633,66149816,66390345,66514370,66584884,66825574,67163112,67497589,67826662,68035751,69086385,69160393,69165759,69223100,70061764,70275927,70364233,70588794,70711414,70756276,70816368,71154262,71216103,71413813,72383223,72758089,72849260,73301676,73502389,73692144,73952874,74244889,74357254,74418543,75047295,75483276,75558501,75724489,76008694,76034903,76302004,76461589,76702444,76771263,77733535,77783833,77930389,78314662,78351756,78793946,78972214,79036125,79410262,79668414,79758724,79817244,80050448,80407695,80941414,81101487,81757247,82033174,82518916,82870453,82903662,83014489,83067720,83200143,83737687,84305200,84320662,84586036,84781075,84972934,85298854,85512938,85737493,85768208,85880089,86451443,86492662,87263900,87338164,87378296,87419112,87443893,87868873,88575733,88605568,88766374,88857973,89090614,89332095,89846351,89972090,90056754,90386134,90808239,91664533,92325094,93275900,93280242,93451185,93513604,94090625,94685162,94843350,95009494,95287568,95652931,96294454,96369589,96489234,96615334,96615779,96934324,97193930,97541455,97737589,97790662,97897414,98300583,98346501,98418889,99681264,...,32130123875945181601551282858320939135900991760060662591948496963825106208162517836672165498129694478755662970626016783839470776339267818245070168148008742767809931806704553411859643244068907998837523401847422784285850154382953834883113070836738825747209226558582050741888428341864609311316484012214291048834165522060567346994117283594554141891570766893873535389169355243373557060699511129364778151421106918256780864872886600193690602212283197569861279571759111667401149338237465611513240499035577498033019538662868785569018938647463138823631013494572957037194753933382028032400600451082257445389832222380587057252684384059157226018533196046605028200224701314835389759363048324777797102113806604408757740325659364711554532425084116326930294209877851331816079718775712425952770949400986022514493666642430987025985138711600874121836970163267486397098004288571505963041766739210111738162891799018434353462005960704350190724381362849827435831277582323642250070960575839651965039000799265051058292178718745240453518126822568278673069686794218920031628495512162121803033230730488286699639529625325859502458212063040958650526592886421395077405677109692159419743488693795309730156262312094703181632115833827444865987648938317486312426334749447069866355464128185371773863443357059910661222032903233536862420889207199912596640629196060428657350471518229376393229029315262297875908102200920955765181374497899938315673280792504890884500710163923820437655955391985725079703837149955749901436586820597759960317627456507908310776249459183668631306138667144254293515634068583664507227536115624293701924324395150741880795027246960317041950262489250921922145597263617055513999815818778436838731438870424478263901558816195170386299342410001493911377000088955325347658324529333118753688954429762926203202728583711152377409085985435119168042246442696182819399508190486497956634313152351498414257702733474320866331674169772040452271812870193316058719923310819694200676426790425222666306555887791140901773795642833272408071478523168131110320968018844997044206892955282692494909824530185572116308595510426632138121575663828145541725439920681660359497914999778003307364521476167519391044323263149308555035834174391554751524862543947053203459259433324709103873654025837411719674182551642269487423453198658904174139178750378464899303575742100622397971056233926675717964224218691772372775321783069923951494685317567093065227809893346876327953155552571158486054684060888199779966490758370778176112630018822953530905814646598796018130168132375409710930745852803291347890986435342045697849406769788598992508027784924543375025208312833096972842489734150689911949075315826919248846608973863045210679477378982176962097985820812160268084720142469967332478593093362534368265783347924402606470957500639288877315772980126197904488998446428311231549373118845746366677620353749147500238960451378370889971398255091655783079100039992792233302370840992009724529171368165315542712416403605276055469665635030319508671000834138688675803276971865526086745930590676334803726453015579614746144864940640425886359991728273829471190921295691831776681839668886356859208335428230986989197377793949403049616917993448029571607010566715403725285153361127333317823720065878420787597331909306553136726389339738417900329185668435237143616569923983973179546097983910519989835810457914169417340452998239961632043620087260030034256318372229939104599599247450434075891872607820954134116651448145852523832833547690639379412458528525567403301361934773468785582291404464303550616355266761120002537267076669645201820260210333234730350850607524712344546417176860104671365811349138021391366681558147998927781417897173946769117356012889123918014550851521924598064831791392092054509565585080863103819822507694325999305818512486731236271448102126829833681091153942039369137107019260768740721308647023517898772658669674846056512447534476403169671125058458573917807082861724543193318639286479372975405538902266673014245694942534996120366581753809633581104112294815186559682125848952396595603629222929695634282515435580016644435268252783643517105063177893904780704284846074384175671528026592229388842573226798997898214835702212941108142748680393658966631805158291595818076540416124155922701708274308294714713139990984026937118614422712406059925035314151677642490634825996081534280915144311232918495294816850831154027200363947343341540818427715967461123946351054487556285001844034613718222374869079328206113901366991786065638167733075448858496197836871364329444013849654053036264781986235544862860660873666540382618945946033524638824653424892276957258736599066607069309699782016765953581728331508367403927884337401351235456948645249893720073248525548171802184478198860031497052779465885238322395717371757989745920773820507192562628914297304856910634939331006932998865762}
30135  419868056357826123700497701199980404846172039812065782083911064759280331458397117644930: {60266,1174641,1656545,1716441,1987854,2077521,2559605,2618961,2951662,3071526,3643673,3701193,3881481,4004497,4216660,5059992,5088421,5480566,5502993,5692491,5720710,6023800,6168245,6531049,6582921,6776775,6864852,7165942,7228560,7401894,7435441,7710464,7793569,7829380,8132130,8611174,8674272,8870945,9274804,9278961,9330070,9395256,9693166,9758556,10237060,10569663,10645134,10670945,10865017,11133670,11196084,12126673,12219382,12284472,12469505,12583054,12805134,13249720,13305526,13360404,13402401,13820031,13847380,14572756,14833877,14905935,14963406,15164645,15548721,15586102,15899664,15917081,16616856,17456260,17531393,17887122,17998006,18197574,18693963,18939993,19442662,20522062,20947512,21919352,22133055,22265860,22500393,22517044,22688614,23565951,23608592,24026729,24099441,24251734,24659271,25164393,26299534,26348875,26559666,26719032,28000041,28195342,28356953,29179297,29356275,30058911,30149177,30458164,31313360,31618650,32029592,33231982,33300321,33726560,33829161,34775895,34792132,35227530,36033291,36266729,36470121,36641921,37094288,37303673,37498145,37576032,37641250,37942380,37942849,38386805,38396116,39275105,39983001,40279060,40471872,40699256,40779382,40970417,41034993,41041396,41210241,41399875,41684710,41731074,42273036,42528421,42896775,43661193,43711205,44187409,44360601,44625364,44710161,44997774,45169500,45374212,45433877,45530856,45756560,45786663,46064166,46281993,46368545,47062324,47130126,47474260,47480566,47673574,48180800,48334872,49136014,49679850,49942041,50021652,51222213,51410417,51476130,51636935,52237976,52453446,52595572,52991840,53244393,53733855,54179281,54203400,54204070,54376731,54590009,54907872,55642254,55845393,56969112,57029206,57316112,57325361,57518902,57796462,57816960,57846245,57881089,57900569,58256260,58268121,58735441,58767723,59471672,59615820,60978825,61671424,61771356,61964322,62582721,63124870,63483121,63590208,63750520,63968875,64090251,64480626,64570935,64648401,64851809,65044080,65044884,65508081,66905631,67740441,67829380,68387045,68875664,69263105,69380352,69415494,69715553,69907512,69961575,70044142,71538984,71719335,71971174,72192993,72363457,72684255,72876561,73174590,73493524,73767050,74625680,75047182,75749844,75777441,76456009,76491723,76499662,76500624,76762650,76787128,77310393,77485122,77529872,78052896,78645951,79860993,80137294,80481357,80678356,81395256,81880160,82064454,82169860,82301542,82360805,82406193,82479353,82687270,83115726,83231105,83270417,83376622,83422761,83496166,83953890,84351461,84434009,85051174,86063202,86385519,86528875,86902808,87221106,87577205,87809508,87927604,88155321,88445345,88520460,89367697,89550816,90009393,91061575,91569663,91627095,91688014,92115180,92221012,93205041,93617173,93701236,94118392,94354095,94421824,94917529,94954804,95377505,95878055,96510964,96559521,97172969,97731321,97735568,97765659,97939695,98256192,98603832,98832966,99224724,99698405,99771555,99877326,...,48195185813917772402326924287481408703851487640090993887922745445737659312243776755008248247194541718133494455939025175759206164508901727367605252222013114151714897710056830117789464866103361998256285102771134176428775231574430752324669606255108238620813839837873076112832642512796913966974726018321436573251248283090851020491175925391831212837356150340810303083754032865060335591049266694047167227131660377385171297309329900290535903318424796354791919357638667501101724007356198417269860748553366247049529307994303178353528407971194708235446520241859435555792130900073042048600900676623386168084748333570880585879026576088735839027799794069907542300337051972253084639044572487166695653170709906613136610488489047067331798637626174490395441314816776997724119578163568638929156424101479033771740499963646480538977708067401311182755455244901229595647006432857258944562650108815167607244337698527651530193008941056525286086572044274741153746916373485463375106440863759477947558501198897576587438268078117860680277190233852418009604530191328380047442743268243182704549846095732430049459294437988789253687318094561437975789889329632092616108515664538239129615233040692964595234393468142054772448173750741167298981473407476229468639502124170604799533196192278057660795165035589865991833049354850305293631333810799868894960943794090642986025707277344064589843543972893446813862153301381433647772061746849907473509921188757336326751065245885730656483933087978587619555755724933624852154880230896639940476441184761862466164374188775502946959208000716381440273451102875496760841304173436440552886486592726112821192540870440475562925393733876382883218395895425583270999723728167655258097158305636717395852338224292755579449013615002240867065500133432988021487486793999678130533431644644389304804092875566728566113628978152678752063369664044274229099262285729746934951469728527247621386554100211481299497511254658060678407719305289974088079884966229541301014640185637833999459833831686711352660693464249908612107217784752196665481452028267495566310339432924038742364736795278358174462893265639948207182363495742218312588159881022490539246872499667004961046782214251279086566484894723962832553751261587332127287293815920579805188889149987063655810481038756117579511273827463404231135179797988356261208768125567697348955363613150933596956584350890013576946336328037658559162982674604885927242027976350639597841714840020314491929733328856737729082026091332299669949736137556167264168945028234430296358721969898194027195252198563114566396118779204937021836479653013068546774110154682898488762041677386815062537812469249645459263734601226034867923612973740378873269913460794567816019216068473265443146978731218240402127080213704950998717889640043801552398675021886603909706436250958933315973659470189296856733497669642466847324059678268619550016430530623721250358440677067556334957097382637483674618650059989188349953556261488014586793757052247973314068624605407914083204498452545479263006501251208033013704915457798289130118895886014502205589679523369422119217297410960638829539987592410744206786381943537747665022759503329535288812503142346480483796066690924104574425376990172044357410515850073105587927730041690999976735580098817631181395997863959829705089584009607626850493778502652855715424854885975959769319146975865779984753715686871254126010679497359942448065430130890045051384477558344908656899398871175651113837808911731431201174977172218778785749250321535959069118687792788351104952042902160203178373437106696455325924532900141680003805900615004467802730390315499852095526275911287068516819625765290157007048717023707032087050022337221998391672126845760920153676034019333685877021826277282886897097247687088138081764348377621294655729733761541488998958727768730096854407172153190244750521636730913059053705660528891153111081962970535276848158988004512269084768671301714604754506687587687860876710624292586814789977958929719059463108308353400009521368542413802494180549872630714450371656168442222779839523188773428594893405443834394543451423773153370024966652902379175465275657594766840857171056427269111576263507292039888344083263859840198496847322253553319411662214123020590488449947707737437393727114810624186233884052562411462442072069709986476040405677921634068609089887552971227516463735952238994122301421372716466849377742942225276246731040800545921015012311227641573951191685919526581731334427502766051920577333562303618992309170852050487679098457251599613173287744296755307046494166020774481079554397172979353317294290991310499810573928418919050286958236980137338415435888104898599910603964549673025148930372592497262551105891826506102026853185422967874840580109872788322257703276717298290047245579169198827857483593576057636984618881160730760788843943371445957285365952408996510399498298643}
30136  421170556373921477275618286480872065954547752946266828495988427718886603742784068285010: {90399,512023,692599,1414183,1566188,1866386,2227178,2288588,2587826,2650472,2674183,2770028,2981781,3213103,3491948,4095368,4427493,4607289,4934924,5175308,5270825,6324990,6746656,7337324,7529750,7589988,7678903,7856599,8034223,8220849,8581065,8777228,9035700,9054866,9153136,9452623,9638080,9786725,9869192,10297278,10336783,10748913,10842840,11102841,11395399,11565696,11593505,11744070,12198195,12371948,12451423,12527008,12796325,12916761,13011408,13855423,13912206,13995105,14092884,14193512,14539749,14637834,14905399,14928112,15355590,15967701,16185746,16379296,16562150,16649599,16700505,16794126,16823623,16895666,17073512,17309225,17692663,17813872,17869868,18215945,18329073,18426708,18874581,19179433,19207701,19252399,19729586,19874580,19951208,19958289,20040606,20116399,20657518,20731628,20771070,21199552,21820325,21859134,22155808,22201706,22445109,22697599,23379153,23383183,23725543,23849496,24263432,24580183,24925284,25253324,26184390,26830683,26997009,27133303,27296361,27399190,27475346,27832325,27930016,28025893,28146305,28657399,29163993,29501599,29510740,30000524,30783093,30973106,31421268,32023399,32132588,32190943,32368178,32457502,32879028,33398790,33552524,33775566,34032921,34362463,35412888,35611849,35625376,35845778,36377601,36852943,37333388,38009623,38072705,38963306,39141700,39449301,39839499,40036990,40067093,40078548,40690226,41131399,41294983,42158200,42293013,42601063,42763999,43101866,43490165,44133266,44400428,45105548,45687246,45708229,46169023,46192178,46367860,46652863,46970040,47427975,47995145,48044388,48245906,48260983,48626828,49222399,49847973,50101376,50151598,50348825,50589840,50659663,50874070,51301745,51657266,52037713,52188198,52249783,52841295,53310668,53832703,53962496,54713324,54946988,55565599,55641432,55781705,56364048,56408978,56461875,56717765,56913570,56976943,57195700,57289783,57594174,58099178,58214924,58827905,59147468,59342825,59613548,59997032,60122666,60226000,60247399,60266206,60418590,60707808,61048884,61169073,61418888,61562094,61709324,61909529,62527065,62563999,62596611,62840168,63409554,64252543,64446496,64823978,64864399,65297470,65475103,65744465,66123109,66239800,66388999,66541063,66589388,66695536,66938046,67188737,67496661,67754250,67754983,67838638,68061318,68296284,68634840,69096249,69497066,69937928,70162346,70593486,70695189,70992524,71211390,71220849,71510361,71645140,71817943,72271200,72502308,72820325,73011703,73210496,73704021,73755463,74052463,74189672,74339590,74460524,74472626,74519775,74793703,74803178,75032478,75958816,76039957,76123946,76453778,77089280,77214195,77447263,77690828,78356964,78680169,78893358,78911383,79415786,79487760,79688150,79931983,80368303,81305100,81306105,81711506,82353593,82361808,82619096,83020178,83443628,83463381,83743253,84266023,84326546,84786725,84786944,85453668,85518622,85543809,85974168,86094580,86197868,86278353,86408743,86694693,86725440,86726512,87344108,87384390,87544903,87582386,88063822,88231826,89099599,89207508,89423730,89943943,90320588,91065703,91147178,91205599,91410382,91866905,92043463,92439146,92461423,92507136,92553992,92657034,92946483,93120118,93210016,93282100,94126783,94372778,94687305,95385312,95625780,95659289,95983910,96056599,96257324,96622201,96720939,96912340,97168748,97289743,97566120,97567326,97904306,98244823,98864426,98962721,99184178,99603103,...,64260247751890363203102565716641878271801983520121325183896993927650212416325035673344330996259388957511325941252033567678941552678535636490140336296017485535619863613409106823719286488137815997675046803694845568571700308765907669766226141673477651494418453117164101483776856683729218622632968024428582097668331044121134693988234567189108283783141533787747070778338710486747114121399022258729556302842213836513561729745773200387381204424566395139722559143518223334802298676474931223026480998071154996066039077325737571138037877294926277647262026989145914074389507866764056064801200902164514890779664444761174114505368768118314452037066392093210056400449402629670779518726096649555594204227613208817515480651318729423109064850168232653860588419755702663632159437551424851905541898801972045028987333284861974051970277423201748243673940326534972794196008577143011926083533478420223476325783598036868706924011921408700381448762725699654871662555164647284500141921151679303930078001598530102116584357437490480907036253645136557346139373588437840063256991024324243606066461460976573399279059250651719004916424126081917301053185772842790154811354219384318839486977387590619460312524624189406363264231667654889731975297876634972624852669498894139732710928256370743547726886714119821322444065806467073724841778414399825193281258392120857314700943036458752786458058630524595751816204401841911530362748995799876631346561585009781769001420327847640875311910783971450159407674299911499802873173641195519920635254913015816621552498918367337262612277334288508587031268137167329014455072231248587403848648790301483761590054493920634083900524978501843844291194527234111027999631637556873677462877740848956527803117632390340772598684820002987822754000177910650695316649058666237507377908859525852406405457167422304754818171970870238336084492885392365638799016380972995913268626304702996828515405466948641732663348339544080904543625740386632117439846621639388401352853580850445332613111775582281803547591285666544816142957046336262220641936037689994088413785910565384989819649060371144232617191020853264276243151327656291083450879841363320718995829999556006614729042952335038782088646526298617110071668348783109503049725087894106406918518866649418207747308051674823439348365103284538974846906397317808348278357500756929798607151484201244795942112467853351435928448437383544745550643566139847902989370635134186130455619786693752655906311105142316972109368121776399559932981516741556352225260037645907061811629293197592036260336264750819421861491705606582695781972870684091395698813539577197985016055569849086750050416625666193945684979468301379823898150631653838497693217947726090421358954757964353924195971641624320536169440284939934664957186186725068736531566695848805212941915001278577754631545960252395808977996892856622463098746237691492733355240707498295000477920902756741779942796510183311566158200079985584466604741681984019449058342736330631085424832807210552110939331270060639017342001668277377351606553943731052173491861181352669607452906031159229492289729881280851772719983456547658942381842591383663553363679337772713718416670856461973978394755587898806099233835986896059143214021133430807450570306722254666635647440131756841575194663818613106273452778679476835800658371336870474287233139847967946359092195967821039979671620915828338834680905996479923264087240174520060068512636744459878209199198494900868151783745215641908268233302896291705047665667095381278758824917057051134806602723869546937571164582808928607101232710533522240005074534153339290403640520420666469460701701215049424689092834353720209342731622698276042782733363116295997855562835794347893538234712025778247836029101703043849196129663582784184109019131170161726207639645015388651998611637024973462472542896204253659667362182307884078738274214038521537481442617294047035797545317339349692113024895068952806339342250116917147835614165723449086386637278572958745950811077804533346028491389885069992240733163507619267162208224589630373119364251697904793191207258445859391268565030871160033288870536505567287034210126355787809561408569692148768351343056053184458777685146453597995796429671404425882216285497360787317933263610316583191636153080832248311845403416548616589429426279981968053874237228845424812119850070628303355284981269651992163068561830288622465836990589633701662308054400727894686683081636855431934922247892702108975112570003688069227436444749738158656412227802733983572131276335466150897716992395673742728658888027699308106072529563972471089725721321747333080765237891892067049277649306849784553914517473198133214138619399564033531907163456663016734807855768674802702470913897290499787440146497051096343604368956397720062994105558931770476644791434743515979491841547641014385125257828594609713821269878662013865997731524}
30137  422477073460660524801268579701930094135881981253247977035470203365868951060297315380306: {30137,120532,1957735,2319163,2349282,2799579,2860735,3313090,3340767,3432882,3462535,3583447,3881739,3975708,4155042,4306159,4364935,5119210,5237922,5630383,5903324,6143052,6168655,6469135,7287346,7402386,7616059,7762962,8008994,8433320,8635543,8699767,9171655,9487485,9600943,10119984,10176842,10961132,10971535,11005986,11294625,11384982,11441420,11767927,12047600,12246223,12336490,12419323,13062098,13165842,13553550,13582299,13729704,14331884,14457120,14803788,14834863,14870882,14939323,15420928,15445917,15464935,15587138,15658760,15856903,15918139,16264260,16579039,17222348,17348544,17457307,17616105,17741890,18549608,18557922,18660140,18790512,19386332,19517112,20474120,20718919,20868309,21139326,21230503,21290268,21341890,21730034,21956751,22153483,22267340,22337335,22392168,23033385,24253346,24278619,24438764,24568944,24843225,24939010,25166108,25191189,25343499,25610268,25914535,26110843,26499440,26611052,26720808,26804802,26853403,27640062,27694760,29145512,29594379,29667754,29740219,29811870,29926812,30060909,30329290,30986277,31097442,31156605,31171183,31172204,31566655,31799328,31834162,32040943,32266183,32788701,33233712,33302559,33696139,34912520,35062786,35774244,35996012,36395148,36888425,37288327,37306159,37387926,37500655,37879986,38885324,39276585,40165735,40533403,41044124,41098785,41213019,41895024,41940655,43795963,43838704,44086159,44266110,44531720,45000786,45034088,45193423,45377228,45599503,46302427,46459659,46666735,47131902,47217184,48053458,48198882,48503468,48552267,48686253,48927125,49318542,50098185,50328786,50663349,50779039,52497403,52599068,52697750,53119332,53153143,53438064,53741527,53768667,54593647,54955963,54985147,55034683,55500535,55610383,56000082,56381935,56390684,56713906,57959825,58358594,58444959,58712550,58922167,58965643,60055485,60117822,60298354,60724987,60783535,60916328,61012363,61035339,61195687,62626720,63237300,64059184,64652799,64915963,65510203,66199899,66463964,66600642,66638335,66785503,67453120,67658322,68391655,68530869,68683735,68796439,69288267,69551790,69584264,69720199,69830407,70455060,71096059,71494625,72066582,72291709,72368859,72533458,72768655,72940242,73283842,73934335,74188576,74516935,74607346,74996290,75152064,75227397,75282500,75884760,75885698,76311105,76643047,76773610,76792232,77136655,77485899,78282297,78550210,78886183,79966002,80558120,80943744,80984743,81398512,81558764,81940834,82069986,82082792,82420482,82489663,82799750,83236735,83369420,83462148,84420943,84546072,84613467,85056842,85370355,85793550,86093143,86391261,86393659,87148767,87322386,87422410,88074127,88374818,88721202,88740655,89250728,89420322,89556425,89995548,90183999,90338779,90339000,90399309,90627885,90748424,90867754,91061712,91513120,91573326,92128332,92343141,92563986,92737090,93075655,94124648,94260252,94948520,94961132,95114331,95347148,95741863,96151759,96361600,96669744,96968347,97113535,97235967,97475599,97946205,98190487,98272028,98826223,99359700,99785647,99884082,...,96390371627835544804653848574962817407702975280181987775845490891475318624487553510016496494389083436266988911878050351518412329017803454735210504444026228303429795420113660235578929732206723996512570205542268352857550463148861504649339212510216477241627679675746152225665285025593827933949452036642873146502496566181702040982351850783662425674712300681620606167508065730120671182098533388094334454263320754770342594618659800581071806636849592709583838715277335002203448014712396834539721497106732494099058615988606356707056815942389416470893040483718871111584261800146084097201801353246772336169496667141761171758053152177471678055599588139815084600674103944506169278089144974333391306341419813226273220976978094134663597275252348980790882629633553995448239156327137277858312848202958067543480999927292961077955416134802622365510910489802459191294012865714517889125300217630335214488675397055303060386017882113050572173144088549482307493832746970926750212881727518955895117002397795153174876536156235721360554380467704836019209060382656760094885486536486365409099692191464860098918588875977578507374636189122875951579778659264185232217031329076478259230466081385929190468786936284109544896347501482334597962946814952458937279004248341209599066392384556115321590330071179731983666098709700610587262667621599737789921887588181285972051414554688129179687087945786893627724306602762867295544123493699814947019842377514672653502130491771461312967866175957175239111511449867249704309760461793279880952882369523724932328748377551005893918416001432762880546902205750993521682608346872881105772973185452225642385081740880951125850787467752765766436791790851166541999447456335310516194316611273434791704676448585511158898027230004481734131000266865976042974973587999356261066863289288778609608185751133457132227257956305357504126739328088548458198524571459493869902939457054495242773108200422962598995022509316121356815438610579948176159769932459082602029280371275667998919667663373422705321386928499817224214435569504393330962904056534991132620678865848077484729473590556716348925786531279896414364726991484436625176319762044981078493744999334009922093564428502558173132969789447925665107502523174664254574587631841159610377778299974127311620962077512235159022547654926808462270359595976712522417536251135394697910727226301867193913168701780027153892672656075317118325965349209771854484055952701279195683429680040628983859466657713475458164052182664599339899472275112334528337890056468860592717443939796388054390504397126229132792237558409874043672959306026137093548220309365796977524083354773630125075624938499290918527469202452069735847225947480757746539826921589135632038432136946530886293957462436480804254160427409901997435779280087603104797350043773207819412872501917866631947318940378593713466995339284933694648119356537239100032861061247442500716881354135112669914194765274967349237300119978376699907112522976029173587514104495946628137249210815828166408996905090958526013002502416066027409830915596578260237791772029004411179359046738844238434594821921277659079975184821488413572763887075495330045519006659070577625006284692960967592133381848209148850753980344088714821031700146211175855460083381999953471160197635262362791995727919659410179168019215253700987557005305711430849709771951919538638293951731559969507431373742508252021358994719884896130860261780090102768955116689817313798797742351302227675617823462862402349954344437557571498500643071918138237375585576702209904085804320406356746874213392910651849065800283360007611801230008935605460780630999704191052551822574137033639251530580314014097434047414064174100044674443996783344253691521840307352068038667371754043652554565773794194495374176276163528696755242589311459467523082977997917455537460193708814344306380489501043273461826118107411321057782306222163925941070553696317976009024538169537342603429209509013375175375721753421248585173629579955917859438118926216616706800019042737084827604988361099745261428900743312336884445559679046377546857189786810887668789086902847546306740049933305804758350930551315189533681714342112854538223152527014584079776688166527719680396993694644507106638823324428246041180976899895415474874787454229621248372467768105124822924884144139419972952080811355843268137218179775105942455032927471904477988244602842745432933698755485884450552493462081601091842030024622455283147902383371839053163462668855005532103841154667124607237984618341704100975358196914503199226346575488593510614092988332041548962159108794345958706634588581982620999621147856837838100573916473960274676830871776209797199821207929099346050297860745184994525102211783653012204053706370845935749681160219745576644515406553434596580094491158338397655714967187152115273969237762321461521577687886742891914570731904817993020798996597286}
30138  423787619935072987488732260903373601981492635481496009090114283019848873935605652562106: {150665,180798,572261,873161,1024046,1233977,1385198,1414277,2014757,2374661,2828366,3132376,3273161,3523923,3732772,3811397,4454356,4468361,4577176,4969635,5149323,5175652,5300944,5348366,5362661,5540056,5719877,5963562,6232563,6314597,6426206,6983896,7379155,7678815,7679417,7856883,8093957,8190736,8854986,9214578,9869848,10350616,10396361,10541650,10931019,11103579,11278661,11644443,11807177,12013491,12510857,12649980,13493312,13701415,13856357,14301775,14674648,15059500,15081161,15179976,15265263,15357806,15713198,16068446,16230907,16441698,16476617,16508979,16824761,16882757,17077473,17162130,17554456,17751737,17914855,17925317,18071400,18109732,18306272,18504735,18905246,19276160,19573450,19593147,19738384,19748763,20330325,20594556,20635337,20673566,20865161,21381797,21497826,21527935,21685680,21725861,22069637,22205682,22306323,22790798,23131392,23187010,23325175,23380707,23488140,23784197,24232915,24240197,24396390,24743896,24902846,25054016,25502323,25592650,25833522,25945637,26022816,26512517,26612835,27135161,27361337,27643877,27710846,27824412,27834175,27836883,27990210,28185768,28321157,28387024,28884677,29079498,29275668,29391161,29810798,29856224,30548455,30711180,30850697,31457635,31708989,31935402,32012835,32371492,32416457,32595051,32751161,32758592,33124300,33263815,33299198,33401010,33588252,33647246,33791332,34147024,34618450,35196857,35385326,35529161,35627744,35739736,35750537,36358661,36380019,36431890,36658146,36853416,36910661,37408515,37516937,37749162,38067257,38358866,38415402,38504798,38965255,39329957,39404827,39459172,39749160,39902416,39916578,40081212,40207203,40232798,40479161,40970597,41315036,41460093,41463256,41542140,41624837,42399104,42441017,42658361,43255397,43640650,43718268,43797317,44311616,44403412,44501631,44554661,44717805,44770757,44890218,44995015,45094661,45395198,45493935,45579977,45687737,46226057,46646163,46758306,46766366,47352019,47451086,47698992,47751243,48317861,48526864,48585161,48606655,49160366,49850568,50506648,50663237,50716361,51305155,51830117,52368780,52594179,52623497,53301787,53661366,53994018,54266606,54592722,54798380,54950692,55664650,55860032,55936037,56051786,56081889,56292610,56721535,56819979,56980997,57033161,57293861,57314798,58074761,58327986,58386617,58542437,59003198,59021480,59164997,59838137,59941577,60001048,60629335,60886231,61566186,61946212,62003657,62414537,62842536,63695237,64046798,64265176,64308197,64381886,64736356,64915004,65021861,65225477,65748835,65758056,65835557,66292361,66399165,66545861,66797580,67105048,67193203,67501179,67507337,67551132,67608377,67759877,68065842,68724926,69193003,69622457,70488355,70524617,70697853,70825776,71223698,71250752,71691556,71822443,71823161,72080187,72298323,72755202,73017017,73066661,73165807,73705886,73810361,73977813,74255717,74354597,74666776,74799161,74848517,75095177,75493179,75981497,76019246,76145410,76570937,77926612,77941817,78039497,78094387,78283400,78478661,78898602,78917177,79046625,79404871,79646597,79678998,80073980,80134186,80157096,81380452,81679397,82262798,82359067,82589966,82882697,83079955,83314661,84000123,84316400,84320057,84586026,85070859,85202126,85527998,85892837,85987877,86203732,86604857,86980330,87537891,87551417,87598661,88068825,88266532,88541861,88800856,89997497,90176733,90211096,90447531,91072517,91374492,91416458,92042251,92236217,92338046,92384356,92514761,92735720,93024677,93305726,93487397,93940080,94103125,94179977,94318277,94855950,95100617,95990290,96088776,96384137,96491812,96521966,96886661,97253656,97843337,98444798,98705861,98969299,99339557,99695946,99900963,...,144585557441753317206980772862444226111554462920272981663768236337212977936731330265024744741583625154400483367817075527277618493526705182102815756666039342455144693130170490353368394598310085994768855308313402529286325694723292256974008818765324715862441519513619228338497927538390741900924178054964309719753744849272553061473527776175493638512068451022430909251262098595181006773147800082141501681394981132155513891927989700871607709955274389064375758072916002503305172022068595251809582245660098741148587923982909535060585223913584124706339560725578306667376392700219126145802702029870158504254245000712641757637079728266207517083399382209722626901011155916759253917133717461500086959512129719839409831465467141201995395912878523471186323944450330993172358734490705916787469272304437101315221499890939441616933124202203933548266365734703688786941019298571776833687950326445502821733013095582954590579026823169575858259716132824223461240749120456390125319322591278433842675503596692729762314804234353582040831570701557254028813590573985140142328229804729548113649538287197290148377883313966367761061954283684313927369667988896277848325546993614717388845699122078893785703180404426164317344521252223501896944420222428688405918506372511814398599588576834172982385495106769597975499148064550915880894001432399606684882831382271928958077121832032193769530631918680340441586459904144300943316185240549722420529763566272008980253195737657191969451799263935762858667267174800874556464640692689919821429323554285587398493122566326508840877624002149144320820353308626490282523912520309321658659459778178338463577622611321426688776181201629148649655187686276749812999171184502965774291474916910152187557014672878266738347040845006722601196500400298964064462460381999034391600294933933167914412278626700185698340886934458036256190108992132822687297786857189240804854409185581742864159662300634443898492533763974182035223157915869922264239654898688623903043920556913501998379501495060134057982080392749725836321653354256589996444356084802486698931018298772116227094210385835074523388679796919844621547090487226654937764479643067471617740617499001014883140346642753837259699454684171888497661253784761996381861881447761739415566667449961190967431443116268352738533821482390212693405539393965068783626304376703092046866090839452800790869753052670040730839008984112975677488948023814657781726083929051918793525144520060943475789199986570213187246078273996899009849208412668501792506835084703290889076165909694582081585756595689343699188356337614811065509438959039205640322330464048695466286125032160445187613437407748936377791203803678104603770838921221136619809740382383703448057648205419796329440936193654721206381240641114852996153668920131404657196025065659811729119308752876799947920978410567890570200493008927400541972179034805858650049291591871163751075322031202669004871292147912451023855950179967565049860668784464043760381271156743919942205873816223742249613495357636437789019503753624099041114746373394867390356687658043506616769038570108266357651892232881916488619962777232232620359145830613242995068278509988605866437509427039441451388200072772313723276130970516133072231547550219316763783190125072999930206740296452893544187993591879489115268752028822880551481335507958567146274564657927879307957440927597339954261147060613762378032038492079827344196290392670135154153432675034725970698196613526953341513426735194293603524931516656336357247750964607877207356063378365053314856128706480609535120311320089365977773598700425040011417701845013403408191170946499556286578827733861205550458877295870471021146151071121096261150067011665995175016380537282760461028102058001057631065478831848660691291743061264414245293045132863883967189201284624466996876183306190290563221516459570734251564910192739177161116981586673459333245888911605830544476964013536807254306013905143814263520062763063582630131872877760444369933876789157178389324925060200028564105627241407482541649617892143351114968505326668339518569566320285784680216331503183630354271319460110074899958707137526395826972784300522571513169281807334728790521876119665032249791579520595490541966760659958234986642369061771465349843123212312181181344431872558701652157687234387326216209129959428121217033764902205827269662658913682549391207856716982366904264118149400548133228826675828740193122401637763045036933682924721853575057758579745194003282508298155761732000686910856976927512556151463037295371754798839519863232890265921139482498062323443238663191518938059951882872973931499431721785256757150860874710940412015246307664314695799731811893649019075446791117777491787653317675479518306080559556268903624521740329618364966773109830151894870141736737507596483572450780728172910953856643482192282366531830114337871856097857226989531198494895929}
30139  425102208151734729388027490058248895859548464366839456123584560186604004095289974011682: {30139,60274,241064,271197,1536069,2077797,2740829,3915470,4005029,4242549,4638326,4665965,4698564,4847549,5089097,5567945,5599158,5721470,6110909,6292781,6469565,6626180,6654089,6681534,6865764,6925070,7166894,7763478,7951416,8022549,8310084,8612318,8636117,8729870,8945343,9000797,9056789,9639309,9723269,10238420,10263077,10475844,11260766,11346569,11806648,12247037,12286104,12337310,12840317,12938270,13152389,13282479,13821867,14472809,14574692,14804772,15232118,15360149,15525924,15812475,15857957,16017988,16580141,16866640,17271086,17399534,17722421,18343310,18824375,18974970,19201886,20239968,20353684,21650909,21922264,21943070,22011972,22589250,22637165,22769964,22882840,23036709,23535854,23569797,24095200,24102669,24492446,24662547,24672980,24838646,25743195,26124196,26181389,26331684,27107100,27164598,27459408,28357869,28663768,28914240,29360175,29607576,29669726,29741764,29878646,30841856,30858269,30891834,30929870,31010349,31174276,31272269,31317520,31713806,31836278,32246739,32528520,33158078,33308523,34186197,34444696,34491437,34697088,34780515,34838381,34914614,35232210,35483780,36280349,36594585,37099216,37115844,37320280,37354269,37581024,37866569,38388975,38750283,38772664,39034224,40464365,40948240,41405375,41437838,41566269,41675189,41736618,41985315,42239165,42278652,42461006,42580536,42683780,43460068,43619247,43913502,44089097,44193317,44306966,44534680,44674670,44716197,44784336,45853181,46066770,47823869,47903103,48506692,48557238,48877528,49137888,49323965,49686450,49878020,49948797,50101515,50332216,50382378,50470869,50686998,51220536,51643795,51829070,51927675,52221686,52500917,52998880,53077989,53222104,53410409,53441616,53609604,53706806,54647835,54987219,55280124,55389520,55504265,55614089,56232029,56623743,56818877,57538299,57623103,57757197,58291024,58716917,59188758,59335508,59480438,59623740,59624477,59853624,59874867,60121818,60349197,60658580,61016429,61972554,62152781,62194884,62313210,62342366,62344408,63133310,63598656,63668324,64081886,64532366,65040989,65333429,65460975,65577402,66467424,66605118,67335327,67392278,68092797,68497975,68688365,69437357,69686669,69825040,70125572,70137459,70149549,70849829,71100797,71176629,71548488,71992024,72790296,73541021,73740549,73776850,74576654,74612318,74642621,74775852,75001310,75759972,77421149,77432765,77700749,77770648,78045749,78553170,78934709,80331470,80492049,80920445,80991027,81066806,81108329,81143755,81399909,81889083,82088248,82197570,82426038,83016389,83496975,83790048,83881310,84077679,84426569,84438915,85096949,85972197,86513549,87491979,87591926,87597869,87677408,88172318,88504797,88532220,89063440,89614445,90001572,90068176,90243077,90386846,90754456,90955997,91199006,92349279,92604854,92919318,93293669,93333470,94263804,94434368,95748317,96070197,96106916,96157229,96397764,96572829,97006936,97104534,97372506,97408265,97854250,98435789,98637084,98832809,...,192780743255671089609307697149925634815405950560363975551690981782950637248975107020032992988778166872533977823756100703036824658035606909470421008888052456606859590840227320471157859464413447993025140411084536705715100926297723009298678425020432954483255359351492304451330570051187655867898904073285746293004993132363404081964703701567324851349424601363241212335016131460241342364197066776188668908526641509540685189237319601162143613273699185419167677430554670004406896029424793669079442994213464988198117231977212713414113631884778832941786080967437742223168523600292168194403602706493544672338993334283522343516106304354943356111199176279630169201348207889012338556178289948666782612682839626452546441953956188269327194550504697961581765259267107990896478312654274555716625696405916135086961999854585922155910832269605244731021820979604918382588025731429035778250600435260670428977350794110606120772035764226101144346288177098964614987665493941853500425763455037911790234004795590306349753072312471442721108760935409672038418120765313520189770973072972730818199384382929720197837177751955157014749272378245751903159557318528370464434062658152956518460932162771858380937573872568219089792695002964669195925893629904917874558008496682419198132784769112230643180660142359463967332197419401221174525335243199475579843775176362571944102829109376258359374175891573787255448613205525734591088246987399629894039684755029345307004260983542922625935732351914350478223022899734499408619520923586559761905764739047449864657496755102011787836832002865525761093804411501987043365216693745762211545946370904451284770163481761902251701574935505531532873583581702333083998894912670621032388633222546869583409352897171022317796054460008963468262000533731952085949947175998712522133726578577557219216371502266914264454515912610715008253478656177096916397049142918987739805878914108990485546216400845925197990045018632242713630877221159896352319539864918165204058560742551335997839335326746845410642773856999634448428871139008786661925808113069982265241357731696154969458947181113432697851573062559792828729453982968873250352639524089962156987489998668019844187128857005116346265939578895851330215005046349328509149175263682319220755556599948254623241924155024470318045095309853616924540719191953425044835072502270789395821454452603734387826337403560054307785345312150634236651930698419543708968111905402558391366859360081257967718933315426950916328104365329198679798944550224669056675780112937721185434887879592776108781008794252458265584475116819748087345918612052274187096440618731593955048166709547260250151249876998581837054938404904139471694451894961515493079653843178271264076864273893061772587914924872961608508320854819803994871558560175206209594700087546415638825745003835733263894637880757187426933990678569867389296238713074478200065722122494885001433762708270225339828389530549934698474600239956753399814225045952058347175028208991893256274498421631656332817993810181917052026005004832132054819661831193156520475583544058008822358718093477688476869189643842555318159950369642976827145527774150990660091038013318141155250012569385921935184266763696418297701507960688177429642063400292422351710920166763999906942320395270524725583991455839318820358336038430507401975114010611422861699419543903839077276587903463119939014862747485016504042717989439769792261720523560180205537910233379634627597595484702604455351235646925724804699908688875115142997001286143836276474751171153404419808171608640812713493748426785821303698131600566720015223602460017871210921561261999408382105103645148274067278503061160628028194868094828128348200089348887993566688507383043680614704136077334743508087305109131547588388990748352552327057393510485178622918935046165955995834911074920387417628688612760979002086546923652236214822642115564612444327851882141107392635952018049076339074685206858419018026750350751443506842497170347259159911835718876237852433233413600038085474169655209976722199490522857801486624673768891119358092755093714379573621775337578173805695092613480099866611609516701861102630379067363428684225709076446305054029168159553376333055439360793987389289014213277646648856492082361953799790830949749574908459242496744935536210249645849768288278839945904161622711686536274436359550211884910065854943808955976489205685490865867397510971768901104986924163202183684060049244910566295804766743678106326925337710011064207682309334249214475969236683408201950716393829006398452693150977187021228185976664083097924318217588691917413269177163965241999242295713675676201147832947920549353661743552419594399642415858198692100595721490369989050204423567306024408107412741691871499362320439491153289030813106869193160188982316676795311429934374304230547938475524642923043155375773485783829141463809635986041597993194572}
30140  426420850502881542538129479082182122835750079160626936357963875157902630765495724570542: {90411,210931,301330,361596,933379,1113811,1144522,1294171,1746322,2048092,2467954,2770396,2828554,3811651,4029514,4528339,4707331,4749322,5422579,5656732,5779771,5873205,6264752,6546322,6671491,6957489,7047846,7465544,7622794,8272051,8282725,8398737,8582205,8908712,8936722,9154352,9158731,9939270,10022301,10043611,10298646,10330817,10351304,10387605,10601888,10696732,10725322,10750341,11080112,11279419,11439754,11645217,11927124,12465126,12629194,12798025,12852412,12918477,13094805,13565131,13967792,14758310,14790859,15357630,15358834,15713766,16013059,16187914,16381472,16883899,16891149,17709972,18100051,18218365,18429156,18505965,19181981,19407405,19739696,20022485,20701232,20792722,21083300,21727339,21862038,22071139,22207158,22242931,22557322,22848177,23288886,23614354,24026982,24298819,24981811,25021714,25080797,25299960,25442105,25906629,26099301,26854099,26986624,27402830,27514965,27712714,28210291,28462455,28603550,28802829,29349296,29393179,30119000,30139109,30162322,30235939,30359952,30530526,30715612,30841225,30908851,31426396,32136892,32418691,32461814,32586091,32655245,32883396,32914605,32953234,33017958,33649522,33765514,33883875,33926081,34154946,34324260,35088451,35108912,35303781,35503474,35586979,35829710,35850634,36142800,36219464,36612544,36738669,37009470,37177205,37257969,37409371,37574611,37810492,38234851,38552320,38967845,39146900,39186294,39476768,39497526,39716179,40660650,40746897,41028019,41189112,41270674,41347132,41682211,41730322,42172099,42498331,42763594,42767837,42995652,43055870,43371360,43451722,44040689,44125171,44139274,44287459,44354725,44411364,44504589,44612646,44773891,44817969,45581596,46262784,46337751,46374020,46390651,46394805,46569341,46650350,46761414,46976280,47357251,47568394,47570709,47754417,48160771,48465830,48480394,48792780,49487792,49602571,49737117,49762411,49805692,50108032,50719939,51004646,51185300,51667044,51833779,51891274,52045632,52371921,52627219,52848315,53025034,53225670,53354725,54270322,54325085,54551357,54722674,55287754,55421692,55648824,55668350,55673766,55961477,55980420,56371536,56642314,56724091,56774048,57037219,57662611,57769354,58158996,58442731,58551336,58598539,58782322,59221051,59621596,59712448,59997571,60633365,60927019,61096910,61422360,61701394,62008099,62156757,62347525,62470339,62604927,62915270,62993021,63417978,63691509,63853171,63870804,64025670,64742984,64832914,65077459,65190102,65230171,65502322,65517184,65870253,65992651,66248600,66297139,66460449,66527630,66598396,66802020,67012005,67176504,67294492,67582664,68049317,68269291,68294048,69100155,69236900,70393714,70529731,70770652,71058322,71255488,71479472,71501074,71827217,72717322,72760038,72835857,72863780,73071979,73316292,73667131,73706832,73821322,74169385,74409451,74529675,74817030,74853979,75033874,75498324,75573567,75823225,76030497,76134514,76625611,76717732,76830804,77009596,77743605,77930510,77947531,78332529,78659914,78679411,78809654,78918344,79410149,79498320,79585405,79804832,79833156,80162424,80414406,80465596,80560209,80958322,81773549,81941194,82311811,82600459,82630072,82920186,82926512,83032891,83084280,83249674,83320819,84039379,84798208,84881069,84882034,85316722,85756579,85899211,86468681,86510794,87281300,87436536,87594634,87605179,87656965,88595539,88623232,88736731,88783137,88806824,89003262,89018899,89109322,89220657,89435610,89541514,89780436,89990030,90182727,90189322,90790396,90987870,91159954,91375474,92048369,92243131,92452114,92958831,93216859,93292326,93469815,93513549,93516612,93532732,94699965,94704038,94902172,95153731,95397984,95502486,96122829,96528571,96635722,96798549,97053728,97170322,97213310,97623259,98032579,98320732,98366103,98577331,98683697,99392299,99701136,99907677,99934171,...,289171114883506634413961545724888452223108925840545963327536472674425955873462660530049489483167250308800966735634151054555236987053410364205631513332078684910289386260340980706736789196620171989537710616626805058572651389446584513948017637530649431724883039027238456676995855076781483801848356109928619439507489698545106122947055552350987277024136902044861818502524197190362013546295600164283003362789962264311027783855979401743215419910548778128751516145832005006610344044137190503619164491320197482297175847965819070121170447827168249412679121451156613334752785400438252291605404059740317008508490001425283515274159456532415034166798764419445253802022311833518507834267434923000173919024259439678819662930934282403990791825757046942372647888900661986344717468981411833574938544608874202630442999781878883233866248404407867096532731469407377573882038597143553667375900652891005643466026191165909181158053646339151716519432265648446922481498240912780250638645182556867685351007193385459524629608468707164081663141403114508057627181147970280284656459609459096227299076574394580296755766627932735522123908567368627854739335977792555696651093987229434777691398244157787571406360808852328634689042504447003793888840444857376811837012745023628797199177153668345964770990213539195950998296129101831761788002864799213369765662764543857916154243664064387539061263837360680883172919808288601886632370481099444841059527132544017960506391475314383938903598527871525717334534349601749112929281385379839642858647108571174796986245132653017681755248004298288641640706617252980565047825040618643317318919556356676927155245222642853377552362403258297299310375372553499625998342369005931548582949833820304375114029345756533476694081690013445202393000800597928128924920763998068783200589867866335828824557253400371396681773868916072512380217984265645374595573714378481609708818371163485728319324601268887796985067527948364070446315831739844528479309797377247806087841113827003996759002990120268115964160785499451672643306708513179992888712169604973397862036597544232454188420771670149046777359593839689243094180974453309875528959286134943235481234998002029766280693285507674519398909368343776995322507569523992763723762895523478831133334899922381934862886232536705477067642964780425386811078787930137567252608753406184093732181678905601581739506105340081461678017968225951354977896047629315563452167858103837587050289040121886951578399973140426374492156547993798019698416825337003585013670169406581778152331819389164163171513191378687398376712675229622131018877918078411280644660928097390932572250064320890375226874815497872755582407607356209207541677842442273239619480764767406896115296410839592658881872387309442412762481282229705992307337840262809314392050131319623458238617505753599895841956821135781140400986017854801083944358069611717300098583183742327502150644062405338009742584295824902047711900359935130099721337568928087520762542313487839884411747632447484499226990715272875578039007507248198082229492746789734780713375316087013233538077140216532715303784465763832977239925554464465240718291661226485990136557019977211732875018854078882902776400145544627446552261941032266144463095100438633527566380250145999860413480592905787088375987183758978230537504057645761102962671015917134292549129315855758615914881855194679908522294121227524756064076984159654688392580785340270308306865350069451941396393227053906683026853470388587207049863033312672714495501929215754414712126756730106629712257412961219070240622640178731955547197400850080022835403690026806816382341892999112573157655467722411100917754591740942042292302142242192522300134023331990350032761074565520922056204116002115262130957663697321382583486122528828490586090265727767934378402569248933993752366612380581126443032919141468503129820385478354322233963173346918666491777823211661088953928027073614508612027810287628527040125526127165260263745755520888739867753578314356778649850120400057128211254482814965083299235784286702229937010653336679037139132640571569360432663006367260708542638920220149799917414275052791653945568601045143026338563614669457581043752239330064499583159041190981083933521319916469973284738123542930699686246424624362362688863745117403304315374468774652432418259918856242434067529804411654539325317827365098782415713433964733808528236298801096266457653351657480386244803275526090073867365849443707150115517159490388006565016596311523464001373821713953855025112302926074590743509597679039726465780531842278964996124646886477326383037876119903765745947862998863443570513514301721749421880824030492615328629391599463623787298038150893582235554983575306635350959036612161119112537807249043480659236729933546219660303789740283473475015192967144901561456345821907713286964384564733063660228675743712195714453979062396989791858}
30141  427743559418523274936238431960017408100647209382092477921769345772551168459911445102549: {60278,120548,451995,482128,542394,1716783,2560115,2619483,3072138,3462995,3644399,3701931,4155594,4242831,5481658,5631131,6044271,6532351,7070915,7123983,7436923,7795123,7830940,8010058,8485098,9057391,9276652,9331930,9397128,9695098,9819483,10178194,10571769,10867183,11135890,11198316,11434191,11442940,12129091,12221818,12585562,12939130,13252360,13308178,13363068,13370915,13405083,13570139,13731528,13850140,14333788,14473771,14908905,15447969,15526956,15902832,16045098,16065515,16087983,16620168,17159631,17224636,17272234,17459740,17723599,17890686,18001594,18113578,18697689,18943791,19278618,19446538,19516079,20069363,20476840,20526154,20951688,22137465,22521532,22693138,23036445,23038251,23476079,23570649,23613296,24281871,24494074,24572208,24674620,25680634,25876540,26304778,26354125,26564958,27093971,27432911,27643734,28945618,29149384,29609544,30464236,30720298,31051848,31189083,31624950,31692031,31715914,32035976,32506751,32793057,33160282,33310737,33362219,33733280,33835983,34542172,34799068,34933329,35421531,35444842,35754419,36040473,36686620,37532571,37648750,37949940,38394515,38403772,39282995,40171115,40479936,40707368,40790063,41104245,41569071,42905325,43301818,43844528,43886140,44023944,45178500,45243483,45274330,45539928,45765680,45795789,46073418,46200683,47071708,47139594,47263115,48190400,48205338,48692721,48933625,48984892,49066751,49325094,49345960,49429851,49526937,49677292,50474283,50529179,50648271,51232419,51486390,51683915,52248392,52362778,52663368,53255211,53744565,53775951,54190123,54214200,54329196,54918816,55514205,56650111,56715738,56976995,57327536,57651131,57828480,57967525,58720350,58779441,59134831,59215152,59246289,59339452,59483528,59757292,60990975,61469363,61683712,61716538,61783668,61859740,61906011,62020698,62156923,62257115,62348552,62544538,62595483,62635040,63427612,63672556,63981625,64145391,64493478,64583805,65057040,65177583,65292131,66208911,66316156,66373823,66617046,66918969,68372394,68889392,68982874,69053551,69277115,69394176,69561030,69676762,69829228,69975525,70142121,70464420,70465291,70967560,71352591,72279803,72301313,72560698,72698745,72720591,73189170,73857071,74198432,74231688,74526995,74640560,74708538,75162048,75733138,76506969,76777950,77500566,77545328,77705971,77836911,78068448,79185103,79537551,79838505,80928730,81405483,81896480,82062331,82084011,82495919,82810750,82875676,82931631,83132538,83247995,83350378,83473236,83502525,83510649,83970630,84118115,84450971,84478330,84557304,84922012,84963471,85161072,85367560,86405231,86546125,86654031,86920136,87238494,87414419,87827004,87902219,88173483,88178194,88386634,88463315,88613932,89069360,89349340,89432394,89568672,90249091,91079725,91645365,91706362,92133540,92552091,92783023,93900683,94372905,95126967,95647738,95806206,95897165,96038505,96163711,96164651,96261995,97013384,97114476,97249371,97755056,97785153,98253483,98275776,98647930,99372900,99756040,99791445,99897594,...,433756672325259951620942318587332678334663388760818944991304709011638933810193990795074234224750875463201450103451226581832855480580115546308447269998118027365434079390511471060105183794930257984306565924940207587858977084169876770922026456295974147587324558540857685015493782615172225702772534164892929159261234547817659184420583328526480915536205353067292727753786295785543020319443400246424505044184943396466541675783969102614823129865823167193127274218748007509915516066205785755428746736980296223445763771948728605181755671740752374119018682176734920002129178100657378437408106089610475512762735002137925272911239184798622551250198146629167880703033467750277761751401152384500260878536389159518229494396401423605986187738635570413558971833350992979517076203472117750362407816913311303945664499672818324850799372606611800644799097204111066360823057895715330501063850979336508465199039286748863771737080469508727574779148398472670383722247361369170375957967773835301528026510790078189286944412703060746122494712104671762086440771721955420426984689414188644340948614861591870445133649941899103283185862851052941782109003966688833544976640980844152166537097366236681357109541213278492952033563756670505690833260667286065217755519117535443195798765730502518947156485320308793926497444193652747642682004297198820054648494146815786874231365496096581308591895756041021324759379712432902829948555721649167261589290698816026940759587212971575908355397791807288576001801524402623669393922078069759464287970662856762195479367698979526522632872006447432962461059925879470847571737560927964975978379334535015390732867833964280066328543604887445948965563058830249438997513553508897322874424750730456562671044018634800215041122535020167803589501200896892193387381145997103174800884801799503743236835880100557095022660803374108768570326976398468061893360571567722414563227556745228592478986901903331695477601291922546105669473747609766792718964696065871709131761670740505995138504485180402173946241178249177508964960062769769989333068254407460096793054896316348681282631157505223570166039390759533864641271461679964813293438929202414853221852497003044649421039928261511779098364052515665492983761354285989145585644343285218246700002349883572902294329348805058215601464447170638080216618181895206350878913130109276140598272518358402372609259158010122192517026952338927032466844071443973345178251787155756380575433560182830427367599959710639561738234821990697029547625238005505377520505254109872667228497729083746244757269787068031097565069012844433196528316877117616920966991392146086398858375096481335562840312223246809133373611411034313811312516763663409859429221147151110344172944616259388988322808580964163619143721923344558988461006760394213971588075196979435187357926258630399843762935231703671710601479026782201625916537104417575950147874775613491253225966093608007014613876443737353071567850539902695149582006353392131281143813470231759826617621448671226748840486072909313367058511260872297123344239120184602171070062974130519850307115710324799072955676698645749465859888331696697861077437491839728985204835529965817599312528281118324354164600218316941169828392911548399216694642650657950291349570375218999790620220889358680632563980775638467345806256086468641654444006523875701438823693973783637923872322782792019862783441181841287134096115476239482032588871178010405462460298025104177912094589840580860024540280205582880810574794549969009071743252893823631622068190135095159944568386119441828605360933960268097933320796101275120034253105535040210224573512839498668859736483201583616651376631887611413063438453213363288783450201034997985525049141611848281383084306174003172893196436495545982073875229183793242735879135398591651901567603853873400990628549918570871689664549378712202754694730578217531483350944760020377999737666734817491633430892040610421762918041715431442790560188289190747890395618633281333109801630367471535167974775180600085692316881724222447624948853676430053344905515980005018555708698960857354040648994509550891062813958380330224699876121412579187480918352901567714539507845422004186371565628358995096749374738561786471625900281979874704959927107185314396049529369636936543544033295617676104956473061703161978648627389878284363651101294706617481808987976741047648173623570150947100712792354448201644399686480027486220579367204913289135110801048774165560725173275739235582009847524894467285196002060732570930782537668454389111886115264396518559589698670797763418447494186970329715989574556814179855648618921794498295165355770271452582624132821236045738922992944087399195435680947057226340373353332475362959953026438554918241678668806710873565220988855094900319329490455684610425210212522789450717352342184518732861569930446576847099595490343013615568293571680968593595484687787}
30142  429070347366558302352930155116328615636800527872425908141832109565530345691318081720768: {90417,150685,180822,421862,602660,692737,723192,813591,873277,1594717,1866758,2135041,2227622,2289044,2494897,2588342,3393277,3492644,3931441,4096184,4608207,4935908,5540792,5657108,6233391,7623302,7858177,8035837,8059028,8222487,9056678,9414662,9498644,9788675,10515517,10845158,11313464,11397697,11559542,11573917,11595815,11746410,11926141,12015087,12453937,12529504,12727647,13092644,13342982,13914978,13997895,14095692,14208577,14303675,14542647,14931088,15083197,15245588,15267291,16544102,16565450,16703835,16797474,16827037,17164410,17312675,17817424,17873444,17917235,18308704,18317462,18332727,18878343,18910141,19408695,19429297,19878540,19962267,20044602,20087222,20597292,20661634,20702608,20775210,21155137,21203776,21393464,21450644,21500682,21530795,21824675,21843457,22160224,22558838,22879508,23290434,23730397,23854248,24067647,24585217,24930252,25258388,25505711,25596050,25704824,25836954,25908351,26189610,26629441,26836029,27002391,27130262,27170367,27478141,27935584,28031479,28151915,28917927,29169807,29507677,29516620,29581718,29676337,30715260,30717668,30789231,30843275,31427532,32026118,32197597,32345675,32375828,32762944,33702577,33767798,33782298,34039707,34202941,34536157,35419944,35618947,36200102,36436730,36741111,36858312,37011930,37026097,38080295,38363962,38520951,38814810,39457167,39479392,39847437,40044970,40075079,41303617,41402464,41465601,41585444,42166600,42446941,42772957,42935857,43177715,43261441,43418427,43454678,43498835,43586737,43724076,44142278,44414316,44485862,44885041,45114644,45208897,45694141,45696354,45717343,45858275,46080447,46577772,47228708,47437425,47573871,48004715,48053964,48591997,48597638,49232797,49740423,49963622,50043428,50161594,50599920,50884210,51625537,51813258,52048087,52198602,53167263,53708198,53973248,54002077,54475441,54554983,54805660,54857675,55029930,55425428,55734577,56420582,56473125,56924910,57207100,57605658,58698592,58786358,58839635,59173441,59950141,60238000,60278218,60324644,60471878,60719904,61061052,61231115,61431224,61682450,61817702,61921871,62096615,62852792,64273784,64837382,64878397,64923628,64952727,65031217,65172182,65310490,65336641,65766792,65829210,65906468,66035916,66136291,66403357,66555457,67299044,67531028,67618141,67767750,67852162,67911495,68309892,68648520,69110127,69883441,70176902,70217824,70607562,70709391,71006948,71173958,71384641,71659420,71701268,72285600,72308007,72431197,72438928,73176577,73225088,73477338,73920157,73987641,74018940,74174315,74354410,74365441,74515938,74696615,74818742,75149222,75620984,76055119,76469702,77104640,77229585,77324675,77611057,77935690,78050941,78293800,78372588,78544167,78953536,78995052,79074817,79284515,79432358,79590695,80531377,81321300,81401857,81493794,82056038,82378224,82541348,82694264,82895195,83364422,83422897,83460644,83759951,84344198,84886711,84996662,85073607,85527188,85535674,85991304,86000641,86111740,86712541,86742720,86903444,87286535,87422641,88080525,88081378,88250342,88278548,88574918,88709450,88822728,89009178,89225292,89260477,89547782,89635938,89964097,91163192,91226077,92064157,92342941,92525568,92574807,92675502,92748040,92781302,92789610,93031047,93138682,93300700,93522828,93816807,93952560,94714502,95114941,95136788,95141418,95508834,95678363,96321542,96641467,96740217,96931660,96960788,97585560,98267137,98975584,99205142,99474234,99524822,99611384,99925569,...,578342229767013268827923091449776904446217851681091926655072945348851911746925321060098978966334500617601933471268302109110473974106820728411263026664157369820578772520681961413473578393240343979075421233253610117145302778893169027896035275061298863449766078054476913353991710153562967603696712219857238879014979397090212245894111104701974554048273804089723637005048394380724027092591200328566006725579924528622055567711958803486430839821097556257503032291664010013220688088274381007238328982640394964594351695931638140242340895654336498825358242902313226669505570800876504583210808119480634017016980002850567030548318913064830068333597528838890507604044623667037015668534869846000347838048518879357639325861868564807981583651514093884745295777801323972689434937962823667149877089217748405260885999563757766467732496808815734193065462938814755147764077194287107334751801305782011286932052382331818362316107292678303433038864531296893844962996481825560501277290365113735370702014386770919049259216937414328163326282806229016115254362295940560569312919218918192454598153148789160593511533255865471044247817134737255709478671955585111393302187974458869555382796488315575142812721617704657269378085008894007587777680889714753623674025490047257594398354307336691929541980427078391901996592258203663523576005729598426739531325529087715832308487328128775078122527674721361766345839616577203773264740962198889682119054265088035921012782950628767877807197055743051434669068699203498225858562770759679285717294217142349593972490265306035363510496008596577283281413234505961130095650081237286634637839112713353854310490445285706755104724806516594598620750745106999251996684738011863097165899667640608750228058691513066953388163380026890404786001601195856257849841527996137566401179735732671657649114506800742793363547737832145024760435968531290749191147428756963219417636742326971456638649202537775593970135055896728140892631663479689056958619594754495612175682227654007993518005980240536231928321570998903345286613417026359985777424339209946795724073195088464908376841543340298093554719187679378486188361948906619751057918572269886470962469996004059532561386571015349038797818736687553990645015139047985527447525791046957662266669799844763869725772465073410954135285929560850773622157575860275134505217506812368187464363357811203163479012210680162923356035936451902709955792095258631126904335716207675174100578080243773903156799946280852748984313095987596039396833650674007170027340338813163556304663638778328326343026382757374796753425350459244262037755836156822561289321856194781865144500128641780750453749630995745511164815214712418415083355684884546479238961529534813792230592821679185317763744774618884825524962564459411984614675680525618628784100262639246916477235011507199791683913642271562280801972035709602167888716139223434600197166367484655004301288124810676019485168591649804095423800719870260199442675137856175041525084626975679768823495264894968998453981430545751156078015014496396164458985493579469561426750632174026467076154280433065430607568931527665954479851108928930481436583322452971980273114039954423465750037708157765805552800291089254893104523882064532288926190200877267055132760500291999720826961185811574176751974367517956461075008115291522205925342031834268585098258631711517231829763710389359817044588242455049512128153968319309376785161570680540616613730700138903882792786454107813366053706940777174414099726066625345428991003858431508829424253513460213259424514825922438140481245280357463911094394801700160045670807380053613632764683785998225146315310935444822201835509183481884084584604284484385044600268046663980700065522149131041844112408232004230524261915327394642765166972245057656981172180531455535868756805138497867987504733224761162252886065838282937006259640770956708644467926346693837332983555646423322177907856054147229017224055620575257054080251052254330520527491511041777479735507156628713557299700240800114256422508965629930166598471568573404459874021306673358074278265281143138720865326012734521417085277840440299599834828550105583307891137202090286052677127229338915162087504478660128999166318082381962167867042639832939946569476247085861399372492849248724725377727490234806608630748937549304864836519837712484868135059608823309078650635654730197564831426867929467617056472597602192532915306703314960772489606551052180147734731698887414300231034318980776013130033192623046928002747643427907710050224605852149181487019195358079452931561063684557929992249293772954652766075752239807531491895725997726887141027028603443498843761648060985230657258783198927247574596076301787164471109967150613270701918073224322238225075614498086961318473459867092439320607579480566946950030385934289803122912691643815426573928769129466127320457351487424391428907958124793979583716}
30143  430401226852888345023084333970216287078657885014906677708265967121579099383005917968634: {120556,241096,271233,632793,753325,903990,964256,1084788,2800137,2861305,3341433,3433566,3584161,3882513,4307017,4365805,4848193,5120230,5238966,6144276,6169885,6293617,6654973,6925990,7071385,7288798,7403862,7617577,8311188,8485662,8701501,9602857,9899281,10073785,10963316,11262262,11434953,11770273,11873305,12088542,13064702,13571041,13585017,14121993,14141830,14232097,14247966,14837821,14873846,15590246,15661880,15921313,16020116,16037437,16267737,16365805,16970196,17339313,17619615,18114782,18553304,18663860,18719281,18794256,18925981,19056985,19390196,19638966,20014473,20070697,20177641,20356388,20872467,21143538,21453457,21734366,22271780,22341805,22396632,22491721,22868382,22885880,23064457,24137377,24258182,24443636,24816153,24848175,25171124,25196211,25746615,25878260,26504720,26616356,26726136,26741830,26810166,26813305,27140278,27463056,27476193,27700280,27744457,28599385,28667576,28947542,29817810,30066903,30130833,30281497,30895938,30992451,31053912,31162815,31572985,31805664,32090196,32131030,32175966,32251023,32420713,33240336,33838257,34022857,34237201,34319262,34449272,34544468,34919480,34935651,35447198,35781372,36003188,36227156,36895775,37395378,37498537,37887582,38220241,38394075,38397085,38557236,38755431,38893076,39032158,39284415,39428077,40138726,40353121,40469785,40695393,40953680,41052308,41903376,42172777,44274930,44372577,45043064,45386276,46072890,46076502,46952158,47141298,47226592,48039177,48563742,48988148,49142137,49144416,49349240,49386937,49517821,50448913,50651697,50673447,51361268,51753080,51981805,52272601,52609556,52708250,52994017,53129916,53752321,54187942,54300153,54655095,54865822,54996193,55287468,55517895,56239561,56393305,57011977,57545943,57654973,57891236,58222215,58298768,58381321,59035885,59219088,60067455,60928472,61440596,62103696,62378166,62554285,63249900,63384062,63431828,64071952,64433617,65013502,65182017,65586114,65592601,66168361,66213417,66320564,66621474,66724438,66728793,67466560,67671966,68477113,68507075,68544531,69084344,69281785,69446641,69598136,69844381,69866658,70843062,70889684,71508838,71508875,72080946,72357481,72896457,73373240,73861993,74945433,75065142,75237577,75242391,75297500,75405805,75899880,76326315,76789030,76807544,77264617,77719887,78297903,78565990,79767793,80342230,80562297,80959872,81154535,81414736,81580126,82208490,82383085,82501441,82544895,83138142,84123805,84413785,84630873,85053601,85387365,85810650,86408487,86603636,87159961,87689056,87772280,87908077,88047888,88179537,88364617,88758685,89574275,89626585,89642857,89876797,90356857,90357000,90417327,90486966,90548660,90707817,91079856,91128721,91531360,91591578,91678537,92146836,92269441,92401366,92523675,92726553,93964441,94143416,94279188,94476433,94526230,94561321,96380800,96410676,96987961,97083757,97256073,97385442,97495177,97758273,97867250,97965735,97969784,98133502,98650188,98691920,98743815,98859702,99053874,99354584,99805693,...,867513344650519903241884637174665356669326777521637889982609418023277867620387981590148468449501750926402900206902453163665710961160231092616894539996236054730868158781022942120210367589860515968613131849880415175717954168339753541844052912591948295174649117081715370030987565230344451405545068329785858318522469095635318368841166657052961831072410706134585455507572591571086040638886800492849010088369886792933083351567938205229646259731646334386254548437496015019831032132411571510857493473960592446891527543897457210363511343481504748238037364353469840004258356201314756874816212179220951025525470004275850545822478369597245102500396293258335761406066935500555523502802304769000521757072778319036458988792802847211972375477271140827117943666701985959034152406944235500724815633826622607891328999345636649701598745213223601289598194408222132721646115791430661002127701958673016930398078573497727543474160939017455149558296796945340767444494722738340751915935547670603056053021580156378573888825406121492244989424209343524172881543443910840853969378828377288681897229723183740890267299883798206566371725702105883564218007933377667089953281961688304333074194732473362714219082426556985904067127513341011381666521334572130435511038235070886391597531461005037894312970640617587852994888387305495285364008594397640109296988293631573748462730992193162617183791512082042649518759424865805659897111443298334523178581397632053881519174425943151816710795583614577152003603048805247338787844156139518928575941325713524390958735397959053045265744012894865924922119851758941695143475121855929951956758669070030781465735667928560132657087209774891897931126117660498877995027107017794645748849501460913125342088037269600430082245070040335607179002401793784386774762291994206349601769603599007486473671760201114190045321606748217537140653952796936123786721143135444829126455113490457184957973803806663390955202583845092211338947495219533585437929392131743418263523341481011990277008970360804347892482356498355017929920125539539978666136508814920193586109792632697362565262315010447140332078781519067729282542923359929626586877858404829706443704994006089298842079856523023558196728105031330985967522708571978291171288686570436493400004699767145804588658697610116431202928894341276160433236363790412701757826260218552281196545036716804745218518316020244385034053904677854064933688142887946690356503574311512761150867120365660854735199919421279123476469643981394059095250476011010755041010508219745334456995458167492489514539574136062195130138025688866393056633754235233841933982784292172797716750192962671125680624446493618266747222822068627622625033527326819718858442294302220688345889232518777976645617161928327238287443846689117976922013520788427943176150393958870374715852517260799687525870463407343421202958053564403251833074208835151900295749551226982506451932187216014029227752887474706143135701079805390299164012706784262562287626940463519653235242897342453497680972145818626734117022521744594246688478240369204342140125948261039700614231420649598145911353397291498931719776663393395722154874983679457970409671059931635198625056562236648708329200436633882339656785823096798433389285301315900582699140750437999581240441778717361265127961551276934691612512172937283308888013047751402877647387947567275847744645565584039725566882363682574268192230952478964065177742356020810924920596050208355824189179681161720049080560411165761621149589099938018143486505787647263244136380270190319889136772238883657210721867920536195866641592202550240068506211070080420449147025678997337719472966403167233302753263775222826126876906426726577566900402069995971050098283223696562766168612348006345786392872991091964147750458367586485471758270797183303803135207707746801981257099837141743379329098757424405509389461156435062966701889520040755999475333469634983266861784081220843525836083430862885581120376578381495780791237266562666219603260734943070335949550361200171384633763448444895249897707352860106689811031960010037111417397921714708081297989019101782125627916760660449399752242825158374961836705803135429079015690844008372743131256717990193498749477123572943251800563959749409919854214370628792099058739273873087088066591235352209912946123406323957297254779756568727302202589413234963617975953482095296347247140301894201425584708896403288799372960054972441158734409826578270221602097548331121450346551478471164019695049788934570392004121465141861565075336908778223772230528793037119179397341595526836894988373940659431979149113628359711297237843588996590330711540542905165248265642472091477845985888174798390871361894114452680746706664950725919906052877109836483357337613421747130441977710189800638658980911369220850420425045578901434704684369037465723139860893153694199190980686027231136587143361937187190969375574}
30144  431736210421533630245552217341979860792702921871735054785356841018160812379465658964592: {150695,180834,210959,301370,331463,361644,843724,933503,1205320,1234223,1355985,1385474,1414559,1446384,1594823,1627182,1746554,2195183,2914559,3189434,3733516,3931703,4270082,4455244,4578088,4989794,5150349,5176684,5899559,6672383,6786554,6791159,6985288,7680345,7858449,7858703,7862882,8095583,8192368,8273159,8391503,8746343,9159959,9216414,9278063,9871816,10388985,10933197,11081584,11105793,11314216,11398463,12466782,12513383,12728493,13683863,13704145,14909423,15246604,15716354,16071674,16118056,16234141,16444974,16479959,16654103,16886183,16893393,17060159,17928959,18102503,18113356,18132813,18218159,18829324,18969143,18997288,19488263,19577350,19597053,20025145,20352023,20639543,21031034,21212745,21371949,21558263,21690316,21844943,22245959,22310769,22360463,22626928,22795394,23119084,23147834,23191630,23329825,23385369,23389559,23492820,23789063,23852282,24030174,24237745,24907874,25059008,25084129,25098959,25445485,25455294,26185288,26685964,27172173,27366959,27819023,27829956,27839725,27995790,28191384,28326983,28417154,28496159,28607350,28890623,29059559,29085294,29458449,29509703,29734583,29862176,30143113,30166394,30491176,30534582,30554545,31463905,31715307,32347825,32423159,32590583,32601549,33088204,33130900,33270445,33407670,33594948,33654074,34302573,34328820,34625350,35204159,35370383,35634848,35746888,35834470,36387273,36617408,36634924,36665454,36863159,37524743,37689959,37756686,37820282,38240159,38817390,38858594,39412681,39502583,39757080,39924534,40089204,40112745,40174444,40215249,40710417,41142863,41194584,41323268,41405216,41524559,41550420,42310274,42407552,42449903,42504263,42612959,42786928,42901288,43001364,43061590,43180585,43421313,43589783,43649350,43686914,44320448,44401823,44726715,44888183,45003985,45117676,45283945,45589559,45759016,45858959,46343907,46397159,46580868,47361457,47460794,47471159,47708496,48135294,48196545,48263949,48274559,48616345,49170434,49236263,49449623,49860504,50516776,51011422,51192100,51315385,51409648,51478893,51673908,51816702,52264559,52379220,52634663,52793159,53170797,53258882,53312413,53672058,54004782,54260524,54340734,54531863,54956282,55871168,56062958,56093067,56104943,56303830,56732845,56831373,57835854,57931103,58339614,58548237,58554959,59015354,59033240,59163436,59229503,59352674,60006143,60208089,60448801,60471263,60898369,61235185,61430520,61435336,61554023,61578462,61686550,62581943,62787143,62855064,63862343,63964559,64052236,64201585,64395194,64691350,64751656,65086823,65341343,65525888,65761945,65849783,66002159,66103703,66408143,66412395,66864263,67206601,67405154,67535596,67564596,67774559,68079414,68405882,69072314,69109335,69114753,69206797,70428237,70711947,70839888,71237894,71439743,72038159,72364045,72400204,72845613,72873460,73032959,73180393,73181903,73482222,73716624,73776959,74023860,74052194,74271959,74420303,75998159,76160590,76727924,76800745,77041902,77629620,78056663,78914334,78958784,79062375,79080623,79289785,79694874,80089940,80150158,80295023,81281913,81456143,82298733,82323959,82375489,82420223,82607234,82804928,82900705,82931202,83045159,83170888,83429063,84333200,84893882,85340903,85545914,85723561,85871714,86007023,86355430,86522882,86624159,86836854,86909356,86935261,86997670,87173474,87429143,87448152,87476423,88284556,88612105,88828632,88971724,89126183,89314103,89595743,89770082,90017663,90229288,90417794,91092959,91232903,91388282,91392708,91434686,91698863,91716550,92160894,92256959,92349863,92396303,93155544,93508463,93567249,93647159,94121875,94339559,94457416,94874850,94892183,95076093,95147742,95168063,96009430,96107928,96268703,96543143,97183994,97195276,97520253,98379171,98456159,98465594,98989033,99480846,99927244,99932211,...,1301270016975779854862826955761998035003990166282456834973914127034916801430581972385222702674252626389604350310353679745498566441740346638925341809994354082096302238171534413180315551384790773952919697774820622763576931252509630312766079368887922442761973675622573055046481347845516677108317602494678787477783703643452977553261749985579442746608616059201878183261358887356629060958330200739273515132554830189399625027351907307844469389597469501579381822656244022529746548198617357266286240210940888670337291315846185815545267015222257122357056046530204760006387534301972135312224318268831426538288205006413775818733717554395867653750594439887503642109100403250833285254203457153500782635609167478554688483189204270817958563215906711240676915500052978938551228610416353251087223450739933911836993499018454974552398117819835401934397291612333199082469173687145991503191552938009525395597117860246591315211241408526182724337445195418011151166742084107511127873903321505904584079532370234567860833238109182238367484136314015286259322315165866261280954068242565933022845844584775611335400949825697309849557588553158825346327011900066500634929922942532456499611292098710044071328623639835478856100691270011517072499782001858195653266557352606329587396297191507556841469455960926381779492332580958242928046012891596460163945482440447360622694096488289743925775687268123063974278139137298708489845667164947501784767872096448080822278761638914727725066193375421865728005404573207871008181766234209278392863911988570286586438103096938579567898616019342298887383179777638412542715212682783894927935138003605046172198603501892840198985630814662337846896689176490748316992540660526691968623274252191369688013132055904400645123367605060503410768503602690676580162143437991309524402654405398511229710507640301671285067982410122326305710980929195404185680081714703167243689682670235685777436960705709995086432803875767638317008421242829300378156894088197615127395285012221517985415513455541206521838723534747532526894880188309309967999204763222380290379164688949046043847893472515670710498118172278601593923814385039894439880316787607244559665557491009133948263119784784535337295092157546996478951284062857967436756933029855654740100007049650718706882988046415174646804393341511914240649854545685619052636739390327828421794817555075207117827777474030366577551080857016781097400532214331920035534755361467269141726300680548491282102799879131918685214704465972091088642875714016516132561515762329618001685493187251238734271809361204093292695207038533299589584950631352850762900974176438259196575125289444006688520936669740427400120834233102941433937550290990229578287663441453331032518833848778166964968425742892490857431165770033676965383020281182641914764225590938305562073778775891199531288805695111015131804437080346604877749611313252727850443624326840473759677898280824021043841629331212059214703551619708085448746019060176393843431440410695279479852864346013680246521458218727940101175533782616891370032717360553806513210188922391559550921347130974397218867030095937248397579664995090093583232312475519186955614506589897452797937584843354973062493800654950823509485178734645197650083927951973850874048711125656999371860662668076041897691942326915402037418768259405924963332019571627104316471081921350913771616968348376059588350323545523861402288346428718446097766613534031216387380894075312533736283769521742580073620840616748642431724383649907027215229758681470894866204570405285479833705158358325485816082801880804293799962388303825360102759316605120630673720538518496006579209449604750849954129895662834239190315359640089866350350603104993956575147424835544844149252918522009518679589309486637946221625687551379728207637406195774955704702811561620202971885649755712615068993648136136608264084191734652594450052834280061133999213000204452474900292676121831265288754125146294328371680564867572243671186855899843999329404891102414605503924325541800257076950645172667342874846561029290160034716547940015055667126096882572062121946983528652673188441875140990674099628364237737562442755058704703143618523536266012559114696885076985290248124215685359414877700845939624114879781321555943188148588108910809630632099886853028314869419185109485935945882169634853090953303884119852445426963930223142944520870710452841302138377063344604933199059440082458661738101614739867405332403146322496682175519827217706746029542574683401855588006182197712792347613005363167335658345793189555678769096012393290255342482560910989147968723670442539566945856765383494885496067310814357747872398463708137216768978832262197586307042841171679021120059997426088879859079315664754725036006420132620695662966565284700957988471367053831275630637568368352152057026553556198584709791339730541298786471029040846704880715042905780786454063361}
30145  433075310654748401927601275660503167770161537641760622438039495831494941372753821215653: {241112,271251,452055,482192,542466,1054655,1265586,1506650,1807980,1928512,2078211,2169576,2440773,2619831,4005827,4666895,4784151,5090111,5569055,5600274,5722610,6112127,6405123,6470855,6682866,6867132,7168322,7437911,7484691,7765026,8614034,8637839,8731610,9002591,9696386,9725207,9899939,10179831,10240460,10265123,10477932,11348831,11794323,12249479,12288552,12339770,12587234,13155011,13309946,13824621,13851980,14103299,14142770,14233043,14577596,14807724,15235154,15861119,16038503,16583447,16622376,16622627,16819751,16971324,17403002,18700173,18927239,19058255,19205714,19798562,20147570,21152567,21454883,21926632,22524524,22641695,22869906,22912127,23536655,23540546,23574531,23746610,23846303,24107511,24177084,24667461,26129404,26679779,27112895,27142082,27170034,28243986,28283660,28464194,28495932,28525991,28898855,29366025,29675642,29747692,31180492,31278527,31323760,31546551,31842626,32040232,32074874,32535474,32731610,33357455,33940392,34193091,34678626,34721751,34787445,35239230,35778423,36045261,36229564,37106608,37327720,37361811,37438562,37538627,37588512,37851962,38113970,38182941,38265107,38780392,39277932,40028946,40039139,40084643,40141394,40208831,40355282,40712776,41167199,41360255,41413625,41744934,41993685,42287076,42625731,42906914,42911025,43468732,43627941,44202179,44543560,44683610,44793264,44983442,45100547,45249591,45736764,45771760,45793655,45801873,46128914,48274754,48516364,48887272,49632306,49696350,49801763,50111505,50218055,50342248,50392422,50481111,51493230,51654085,51756520,51938025,53009440,53232712,53452272,53483660,53620332,53626610,53751705,53755919,54280556,54926112,54952386,54998181,55343447,55400560,55488914,55579091,56397095,56635029,56657699,56730423,57198770,57335152,57895084,58077071,58226085,58287891,59635620,59886801,60133806,60261666,60562994,61791876,61984902,62107824,62325630,62407619,63145970,63465411,63611328,63990125,64180392,64262060,64351932,64437911,64502046,64592385,64841426,65474025,65530371,66480672,67377791,67676514,67816079,67825655,68045714,68474402,68638524,68898544,69088936,69838960,69871302,70864007,70894396,71191191,71562744,72006376,72202941,72454312,72774527,73755651,73791550,73954295,74790756,74997074,75242591,75775164,76440482,76517133,76788150,76794170,77114472,77510862,77725053,77786152,78061367,78064316,78568830,78856154,78950627,79888323,80065295,80277452,80508087,80706242,80939570,81007173,81390786,81511101,81907360,82073303,82104616,82434423,82650239,83806752,84094437,84345554,84419495,84455745,86753781,87509421,87575999,87774767,88523031,88549860,88745154,89021603,89029011,89648831,90086128,90500255,90772552,91091825,92145780,92146919,92153004,92367693,92529825,92926163,93904316,93970703,94261031,94282596,94453184,95059907,95825123,95855651,95909905,96078354,96592791,96994499,97037025,97127484,97501703,97976296,98284274,98288832,98698480,98773874,99035642,...,1735026689301039806483769274349330713338653555043275779965218836046555735240775963180296936899003501852805800413804906327331421922320462185233789079992472109461736317562045884240420735179721031937226263699760830351435908336679507083688105825183896590349298234163430740061975130460688902811090136659571716637044938191270636737682333314105923662144821412269170911015145183142172081277773600985698020176739773585866166703135876410459292519463292668772509096874992030039662064264823143021714986947921184893783055087794914420727022686963009496476074728706939680008516712402629513749632424358441902051050940008551701091644956739194490205000792586516671522812133871001111047005604609538001043514145556638072917977585605694423944750954542281654235887333403971918068304813888471001449631267653245215782657998691273299403197490426447202579196388816444265443292231582861322004255403917346033860796157146995455086948321878034910299116593593890681534888989445476681503831871095341206112106043160312757147777650812242984489978848418687048345763086887821681707938757656754577363794459446367481780534599767596413132743451404211767128436015866755334179906563923376608666148389464946725428438164853113971808134255026682022763333042669144260871022076470141772783195062922010075788625941281235175705989776774610990570728017188795280218593976587263147496925461984386325234367583024164085299037518849731611319794222886596669046357162795264107763038348851886303633421591167229154304007206097610494677575688312279037857151882651427048781917470795918106090531488025789731849844239703517883390286950243711859903913517338140061562931471335857120265314174419549783795862252235320997755990054214035589291497699002921826250684176074539200860164490140080671214358004803587568773549524583988412699203539207198014972947343520402228380090643213496435074281307905593872247573442286270889658252910226980914369915947607613326781910405167690184422677894990439067170875858784263486836527046682962023980554017940721608695784964712996710035859840251079079957332273017629840387172219585265394725130524630020894280664157563038135458565085846719859253173755716809659412887409988012178597684159713046047116393456210062661971935045417143956582342577373140872986800009399534291609177317395220232862405857788682552320866472727580825403515652520437104562393090073433609490437036632040488770068107809355708129867376285775893380713007148623025522301734240731321709470399838842558246952939287962788118190500952022021510082021016439490668913990916334984979029079148272124390260276051377732786113267508470467683867965568584345595433500385925342251361248892987236533494445644137255245250067054653639437716884588604441376691778465037555953291234323856654476574887693378235953844027041576855886352300787917740749431705034521599375051740926814686842405916107128806503666148417670303800591499102453965012903864374432028058455505774949412286271402159610780598328025413568525124575253880927039306470485794684906995361944291637253468234045043489188493376956480738408684280251896522079401228462841299196291822706794582997863439553326786791444309749967358915940819342119863270397250113124473297416658400873267764679313571646193596866778570602631801165398281500875999162480883557434722530255923102553869383225024345874566617776026095502805755294775895134551695489291131168079451133764727365148536384461904957928130355484712041621849841192100416711648378359362323440098161120822331523242299178199876036286973011575294526488272760540380639778273544477767314421443735841072391733283184405100480137012422140160840898294051357994675438945932806334466605506527550445652253753812853453155133800804139991942100196566447393125532337224696012691572785745982183928295500916735172970943516541594366607606270415415493603962514199674283486758658197514848811018778922312870125933403779040081511998950666939269966533723568162441687051672166861725771162240753156762991561582474533125332439206521469886140671899100722400342769267526896889790499795414705720213379622063920020074222834795843429416162595978038203564251255833521320898799504485650316749923673411606270858158031381688016745486262513435980386997498954247145886503601127919498819839708428741257584198117478547746174176133182470704419825892246812647914594509559513137454604405178826469927235951906964190592694494280603788402851169417792806577598745920109944882317468819653156540443204195096662242900693102956942328039390099577869140784008242930283723130150673817556447544461057586074238358794683191053673789976747881318863958298227256719422594475687177993180661423081085810330496531284944182955691971776349596781742723788228905361493413329901451839812105754219672966714675226843494260883955420379601277317961822738441700840850091157802869409368738074931446279721786307388398381961372054462273174286723874374381938751148}
30146  434418540173136778113259328473767859740777382658363048838584729296715358905518856372444: {210973,301390,361668,391729,421918,602740,662926,723288,813699,1114033,1294429,1687448,1867006,1898379,2259975,2410640,2468446,2711970,2770948,2829118,2892768,3189646,3254364,3493108,4390366,4708273,4887229,5829118,5959453,6378868,6850993,7467032,7863406,8400411,8451229,8540164,8583915,8910488,9156176,9337729,9979588,10024299,10300698,10353368,10752483,11647539,11799118,12800575,12921051,13097415,13344766,13573108,13582318,13743229,13970576,14544579,15360690,15716898,15717406,15725764,16190653,16191166,16384736,16546318,16783006,17061313,17314975,17492686,18221995,18277213,18319918,18432828,18509655,18556126,18880851,19185803,19743632,19835329,19964919,20777970,20870833,21214155,21866394,22163168,22211586,22247473,22628432,22796926,22852731,24933564,25026766,25157533,25456986,25668913,26104503,27367726,27368833,27408290,28035203,28155655,28216093,28808571,29399233,29697843,29818846,30221355,30493208,31083313,31432708,31587133,32143348,32236112,32468282,32592829,32661755,32760193,32889948,32959918,33308206,33772366,33786786,33932843,34120318,34304859,35095729,35310819,35354575,35619915,35623679,35760433,35857918,36205006,36226712,36265626,36436318,36920893,37184615,37582429,37658648,37938286,37994576,38975615,38976526,39154700,39194106,40050290,40080403,40704046,40713123,40755051,40872829,41279086,41854333,42062068,42365979,42425490,42507229,42670273,42696291,42743898,42776363,43116526,43380632,43689886,44049467,44134429,44296753,44491918,44513463,44621538,44720926,44783293,45253856,45286955,45590788,45592753,45916033,46238168,46295668,46383260,46578623,46659650,46770738,46779118,46985640,47528113,47578126,47704564,47763939,48060348,48112311,48331453,48475490,48803211,49097415,49772929,49815748,49932733,50118016,50168258,50197918,50890970,50910588,52017939,52370576,52796893,52858845,53371928,54335915,54344346,54733918,55638046,55659912,55679450,55972631,55991580,56157843,56382768,56653966,56777943,56834308,56992318,57170955,57214700,57781246,58119118,58170588,58611073,58916898,59019406,59469166,59724352,60043419,60212091,60286226,60332788,60452819,60532923,60645455,60940093,60982352,61069164,61109090,61558429,62617401,62927810,63005579,63397523,63430614,64360371,64695650,64846318,65181166,65203098,65244253,66159229,66176408,66261800,66540890,66815340,66854575,67025415,67189896,67308148,67475163,67850695,68062883,68435329,68605146,68657640,69193371,69250700,70408318,70740766,71269696,71493776,71668940,71841539,72043393,72368855,72412131,72774546,73087933,73234816,73269848,73330908,73726318,73831873,74448459,74544525,74574013,75049486,75314353,75379918,75513372,75588633,75640564,76480318,77239845,77634780,77717188,78696733,78825362,79005166,79425983,79514160,79849068,80178408,80225490,80327575,80348888,80430498,80439915,81420834,81789851,81896413,82285726,82330033,82389168,82428579,82646536,82810432,83049118,83100840,83233371,83339293,84620548,84815104,84899806,85008526,85225918,85573856,85729259,85798155,85802576,85918333,86002728,86123180,86361170,86485919,86842626,87179566,87298700,87373828,87482929,88617995,88640896,88756573,88803646,88897729,89453430,89776366,89882219,90007970,90200709,90235352,90392499,90567890,90844491,91179118,91518032,91705729,91717918,92066723,92403229,92687814,92794318,92977353,93161736,93237853,93488445,94718955,94722914,94921588,94942318,95416992,95726173,96270588,96393090,96527898,96549118,96753069,97232690,97262139,97580395,97781953,98054833,98340868,98472526,98735773,98899246,99721008,...,2602540033951559709725653911523996070007980332564913669947828254069833602861163944770445405348505252779208700620707359490997132883480693277850683619988708164192604476343068826360631102769581547905839395549641245527153862505019260625532158737775844885523947351245146110092962695691033354216635204989357574955567407286905955106523499971158885493217232118403756366522717774713258121916660401478547030265109660378799250054703814615688938779194939003158763645312488045059493096397234714532572480421881777340674582631692371631090534030444514244714112093060409520012775068603944270624448636537662853076576410012827551637467435108791735307501188879775007284218200806501666570508406914307001565271218334957109376966378408541635917126431813422481353831000105957877102457220832706502174446901479867823673986998036909949104796235639670803868794583224666398164938347374291983006383105876019050791194235720493182630422482817052365448674890390836022302333484168215022255747806643011809168159064740469135721666476218364476734968272628030572518644630331732522561908136485131866045691689169551222670801899651394619699115177106317650692654023800133001269859845885064912999222584197420088142657247279670957712201382540023034144999564003716391306533114705212659174792594383015113682938911921852763558984665161916485856092025783192920327890964880894721245388192976579487851551374536246127948556278274597416979691334329895003569535744192896161644557523277829455450132386750843731456010809146415742016363532468418556785727823977140573172876206193877159135797232038684597774766359555276825085430425365567789855870276007210092344397207003785680397971261629324675693793378352981496633985081321053383937246548504382739376026264111808801290246735210121006821537007205381353160324286875982619048805308810797022459421015280603342570135964820244652611421961858390808371360163429406334487379365340471371554873921411419990172865607751535276634016842485658600756313788176395230254790570024443035970831026911082413043677447069495065053789760376618619935998409526444760580758329377898092087695786945031341420996236344557203187847628770079788879760633575214489119331114982018267896526239569569070674590184315093992957902568125715934873513866059711309480200014099301437413765976092830349293608786683023828481299709091371238105273478780655656843589635110150414235655554948060733155102161714033562194801064428663840071069510722934538283452601361096982564205599758263837370429408931944182177285751428033032265123031524659236003370986374502477468543618722408186585390414077066599179169901262705701525801948352876518393150250578888013377041873339480854800241668466205882867875100581980459156575326882906662065037667697556333929936851485784981714862331540067353930766040562365283829528451181876611124147557551782399062577611390222030263608874160693209755499222626505455700887248653680947519355796561648042087683258662424118429407103239416170897492038120352787686862880821390558959705728692027360493042916437455880202351067565233782740065434721107613026420377844783119101842694261948794437734060191874496795159329990180187166464624951038373911229013179794905595875169686709946124987601309901647018970357469290395300167855903947701748097422251313998743721325336152083795383884653830804074837536518811849926664039143254208632942163842701827543233936696752119176700647091047722804576692857436892195533227068062432774761788150625067472567539043485160147241681233497284863448767299814054430459517362941789732409140810570959667410316716650971632165603761608587599924776607650720205518633210241261347441077036992013158418899209501699908259791325668478380630719280179732700701206209987913150294849671089688298505837044019037359178618973275892443251375102759456415274812391549911409405623123240405943771299511425230137987296272273216528168383469305188900105668560122267998426000408904949800585352243662530577508250292588656743361129735144487342373711799687998658809782204829211007848651083600514153901290345334685749693122058580320069433095880030111334252193765144124243893967057305346376883750281981348199256728475475124885510117409406287237047072532025118229393770153970580496248431370718829755401691879248229759562643111886376297176217821619261264199773706056629738838370218971871891764339269706181906607768239704890853927860446285889041741420905682604276754126689209866398118880164917323476203229479734810664806292644993364351039654435413492059085149366803711176012364395425584695226010726334671316691586379111357538192024786580510684965121821978295937447340885079133891713530766989770992134621628715495744796927416274433537957664524395172614085682343358042240119994852177759718158631329509450072012840265241391325933130569401915976942734107662551261275136736704304114053107112397169419582679461082597572942058081693409761430085811561572908126722}
30147  435765911635768957537774698387246178449321437928209144947360246502366565694389790339101: {452085,482224,542502,632877,753425,904110,964384,994389,1084932,1476517,2109310,2531172,2800509,3013300,3463685,3615960,3702669,3857024,4067955,4156422,4243677,4339152,4366385,4784469,4881546,5239662,5632253,6533653,6585549,7618589,7796677,7973585,8011654,8702657,8743677,9059197,9333790,9568302,10180222,10675205,10869349,11138110,11200548,11445220,11795109,12131509,12224254,12474485,12810246,12941710,13365732,13734264,14336644,14476657,14875822,14969382,15451047,15530052,15556013,16820869,16966385,17228068,17275678,17463220,17698677,17727133,18005182,19392772,19450414,19657205,19799878,20017149,20359662,20373477,20480920,20530246,20955864,20972033,21153973,22697662,23041035,23575347,23576109,23588646,24286749,24498958,24577104,24679540,24819477,25174468,25174509,25304849,26239029,26310022,26619892,26681557,27479877,27649242,27703960,27834189,28206598,28285540,28466086,29155192,29416013,29615448,30161213,30470308,31166955,31698373,31722238,32077006,32799591,32951317,33166894,33244752,33245254,33317379,33639502,33942648,34195389,34806004,35344133,36281213,36656549,37400346,37540149,37854478,37958053,38116510,38185479,38411428,39290885,39597124,40179185,40295140,40458397,40986773,41051589,41112435,42305134,42396317,42909766,43853264,44728269,45049048,45283390,45739812,45824254,46700437,47073310,47081092,47149062,47493220,47692606,48215022,48354168,48702423,48943375,49334922,49439877,49962309,50658549,50680179,51180477,51430949,51559793,52258808,52577585,53359558,53786877,54225790,54284164,54307509,54340068,54398439,54654477,56487972,56567320,56907429,56928388,56988485,56991864,57051982,57797710,57869585,57904357,57923693,57979075,58464789,58732050,58791159,58856629,59351284,59495384,59630705,60075435,61056069,61866773,61918629,62269685,62360984,62557054,62647520,63093102,63638235,63685252,64080464,64111117,64115847,64149748,64674789,65070948,65463220,65534829,66714910,66737877,66932307,67081389,67880784,68386182,69357252,69443502,69574890,69989475,70156107,70168677,70305277,70478460,71042885,71367189,71518375,71556846,72090522,72315719,72459128,72683693,72713235,74213216,74655440,74723622,74847077,74877124,75077254,75177024,75252387,75296877,75415985,75703924,76227940,76336455,76365882,76530214,77504849,77560784,77998589,78555864,78955933,79200949,80057892,80078278,80169286,80282788,80417662,80710564,81425552,81516519,82100877,82334398,82720510,82827250,83457069,83489868,83519175,83987370,84135185,84467933,84574152,84980949,85251462,85488477,85813828,85822050,86422589,86563375,86671869,86937464,87178677,87255882,88375347,88376453,88404358,88529109,89087120,89203749,89367220,89586175,89586528,89966884,90201094,90429339,90499182,91473528,91543520,91587310,91603746,91663635,92257828,93124133,94391715,94550705,94955917,95145921,95831509,96549508,97032728,97043475,97146485,97269477,97771749,97774544,97804647,99264612,99392700,99603526,99811335,...,3903810050927339564588480867285994105011970498847370504921742381104750404291745917155668108022757879168813050931061039236495699325221039916776025429983062246288906714514603239540946654154372321858759093324461868290730793757528890938298238106663767328285921026867719165139444043536550031324952807484036362433351110930358932659785249956738328239825848177605634549784076662069887182874990602217820545397664490568198875082055721923533408168792408504738145467968732067589239644595852071798858720632822666011011873947538557446635801045666771367071168139590614280019162602905916405936672954806494279614864615019241327456201152663187602961251783319662510926327301209752499855762610371460502347906827502435664065449567612812453875689647720133722030746500158936815653685831249059753261670352219801735510980497055364923657194353459506205803191874836999597247407521061437974509574658814028576186791353580739773945633724225578548173012335586254033453500226252322533383621709964517713752238597110703703582499714327546715102452408942045858777966945497598783842862204727697799068537533754326834006202849477091929548672765659476476038981035700199501904789768827597369498833876296130132213985870919506436568302073810034551217499346005574586959799672057818988762188891574522670524408367882779145338476997742874728784138038674789380491836447321342081868082289464869231777327061804369191922834417411896125469537001494842505354303616289344242466836284916744183175198580126265597184016213719623613024545298702627835178591735965710859759314309290815738703695848058026896662149539332915237628145638048351684783805414010815138516595810505678520596956892443987013540690067529472244950977621981580075905869822756574109064039396167713201935370102815181510232305510808072029740486430313973928573207963216195533689131522920905013855203947230366978917132942787586212557040245144109501731069048010707057332310882117129985259298411627302914951025263728487901134470682264592845382185855036664553956246540366623619565516170604242597580684640564927929903997614289667140871137494066847138131543680417547012131494354516835804781771443155119683319640950362821733678996672473027401844789359354353606011885276472640989436853852188573902310270799089566964220300021148952156120648964139245523940413180024535742721949563637056857157910218170983485265384452665225621353483332422091099732653242571050343292201596642995760106604266084401807425178902041645473846308399637395756055644113397916273265928627142049548397684547286988854005056479561753716202815428083612279878085621115599898768754851894058552288702922529314777589725375868332020065562810009221282200362502699308824301812650872970688734862990324359993097556501546334500894905277228677472572293497310101030896149060843547925744292676772814916686221336327673598593866417085333045395413311241039814633248833939758183551330872980521421279033694842472063131524887993636177644110654859124256346238057180529181530294321232085838439558593038041040739564374656183820303526601347850674110098152081661419539630566767174678652764041392923191656601090287811745192738994985270280749696937426557560866843519769692358393812754530064919187481401964852470528455536203935592950251783855921552622146133376970998115581988004228125693075826980746206112256304778217774889996058714881312949413245764052741314850905045128178765050970636571584206865039286155338293299840602093649162142682225937601208851308565227740220862521850245927295173150949721081645689276044412684598613711215856439501115475074976457448248405642412881399887164911476080308277949815361892021161615555488019737628348814252549862389686988502717570946078920269599051051809314981869725442274506634532447758755566028556038767928459913838664877062654139184622912218587324867114108434684860608915656949267137845206980944408409824792252575203957783350158502840183401997639000613357424700878028365493795866262375438882985115041694602716731013560567699531997988214673307243816511772976625400771230851935518002028624539683087870480104149643820045167001378290647716186365840950585958019565325625422972022298885092713212687328265176114109430855570608798037677344090655230955870744372647056078244633102537818872344639343964667829564445764326732428891896299660559084944608257555328457807837646508904559272859911652359557336280891790669428833562612131358523906415131190033814799597178320247375985214304844219602215997209438967490046526559481653120238088627724050205566764018546593138377042839016089502006975037379568667036307288037179870766027447682732967443906171011327618700837570296150484656488201932443073243617195391124411650306936496786592758921128523515037063360179992278266639577237946994264175108019260397862086988899695854102873965414101161493826891912705105056456171079660668595754129374019191623896359413087122540114642145128717342359362190083}
30148  437117437740297776253512169120851942630687964107844270239255893860137238509711736741059: {331507,421946,602780,723336,783458,813753,843836,873451,1205480,1325852,1356165,1446576,1627398,1775251,2228066,2588858,2675251,3034747,3163965,3374896,3734012,3766625,3796758,4111507,4519950,4821280,4936892,5423940,5541896,5658236,5785536,6234633,6379292,6508728,6792067,6986216,7322319,7859493,8037451,8392627,8780732,9279307,9416546,9774458,10694251,11576251,11658236,11918906,12017481,12757736,12808027,13701986,14000685,14211451,14306525,14352453,14934064,15270333,15726812,16707165,16800822,16902458,17080328,17167830,17820976,17920805,18220627,18312352,18336381,18675458,19087147,19215369,19412565,19959176,20048598,20601396,20706736,21159451,21504966,21535085,21829025,22313733,22363507,22454073,23295078,23598236,23735251,24077467,24240965,25510793,25601150,25842102,25913517,26194830,26689532,27007773,27146216,27164636,27483787,27486458,27653347,27941152,29089158,29175621,29682451,29699817,30539493,30721380,30795369,30849425,31433796,31434812,31451528,31468085,32381306,32382332,32769472,33092636,33274865,33566012,34046493,34122626,34376707,34629950,34985372,35356925,35382969,36443990,36554426,36639836,36748437,36865656,36868267,37019310,37112252,37199251,37761702,38087885,38371606,39417917,39465033,39487264,39670658,39929838,41473863,41555940,41639347,41741666,42309897,42428310,42618907,42699129,42944851,43507505,43732788,44326336,44423172,44494946,45256864,45593852,45703747,45705462,45726457,45865387,47367749,47583357,48014285,48115509,48602251,49496405,49750341,49867128,49867881,50053532,50315066,50368925,50459253,50913972,51337826,52058461,52209006,52906267,54565861,54735452,54737666,54816580,56070406,56100519,56217547,56311310,56432186,56781717,57174765,57314251,57617142,58798466,58851365,59366525,59395686,59637692,59652451,60442710,60986416,61665787,61934213,62166626,62865416,63174266,63401737,63457701,63973747,64286696,64364649,64472224,64936564,65045251,65185658,65323510,65503387,65520386,65779896,65919836,66113227,66149473,66569851,66616412,66873907,67544732,67573572,67784347,67855205,67865686,67925085,68087251,68240636,68609718,68736381,69898627,70191458,70609965,70621638,70709150,70723593,71160485,71239830,71247358,71520866,71538909,71715836,71849251,72148267,72322533,72410012,72453424,72531252,72872636,73841786,74002383,74084851,74189105,74369230,74381707,75122587,75164858,75317296,75876572,75989152,76070281,77040451,77951230,77953052,78309400,78388212,79238251,79606565,80039337,80100580,80160806,80187185,80403787,80694451,81338685,81408092,81426246,81510102,81745658,81829025,82432387,82558172,83585251,83708666,83776649,84124136,84731958,84733507,84850980,84903637,85014458,85340546,85392582,85448827,85487796,85552726,85577973,86233052,86696565,86731867,86761264,87379772,87583987,88098075,88098934,88268858,88574851,88593506,88983836,89026926,89243076,89441852,89566586,89702947,90265267,90507712,90573910,90686251,91181576,91185506,91832066,92084851,92363707,92476336,92503027,92591336,92766520,93157246,93319300,93541476,93558236,93596405,93835581,93971280,94584187,94629905,94639653,94990973,95056226,95156252,95284925,95409128,95527878,95697437,96120696,96224622,96660733,96662906,96923251,96950980,97606422,98194830,99241507,99545858,99631496,99865466,...,5205080067903119419451307823047992140015960665129827339895656508139667205722327889540890810697010505558417401241414718981994265766961386555701367239977416328385208952686137652721262205539163095811678791099282491054307725010038521251064317475551689771047894702490292220185925391382066708433270409978715149911134814573811910213046999942317770986434464236807512733045435549426516243833320802957094060530219320757598500109407629231377877558389878006317527290624976090118986192794469429065144960843763554681349165263384743262181068060889028489428224186120819040025550137207888541248897273075325706153152820025655103274934870217583470615002377759550014568436401613003333141016813828614003130542436669914218753932756817083271834252863626844962707662000211915754204914441665413004348893802959735647347973996073819898209592471279341607737589166449332796329876694748583966012766211752038101582388471440986365260844965634104730897349780781672044604666968336430044511495613286023618336318129480938271443332952436728953469936545256061145037289260663465045123816272970263732091383378339102445341603799302789239398230354212635301385308047600266002539719691770129825998445168394840176285314494559341915424402765080046068289999128007432782613066229410425318349585188766030227365877823843705527117969330323832971712184051566385840655781929761789442490776385953158975703102749072492255897112556549194833959382668659790007139071488385792323289115046555658910900264773501687462912021618292831484032727064936837113571455647954281146345752412387754318271594464077369195549532719110553650170860850731135579711740552014420184688794414007571360795942523258649351387586756705962993267970162642106767874493097008765478752052528223617602580493470420242013643074014410762706320648573751965238097610617621594044918842030561206685140271929640489305222843923716781616742720326858812668974758730680942743109747842822839980345731215503070553268033684971317201512627576352790460509581140048886071941662053822164826087354894138990130107579520753237239871996819052889521161516658755796184175391573890062682841992472689114406375695257540159577759521267150428978238662229964036535793052479139138141349180368630187985915805136251431869747027732119422618960400028198602874827531952185660698587217573366047656962599418182742476210546957561311313687179270220300828471311109896121466310204323428067124389602128857327680142139021445869076566905202722193965128411199516527674740858817863888364354571502856066064530246063049318472006741972749004954937087237444816373170780828154133198358339802525411403051603896705753036786300501157776026754083746678961709600483336932411765735750201163960918313150653765813324130075335395112667859873702971569963429724663080134707861532081124730567659056902363753222248295115103564798125155222780444060527217748321386419510998445253010911401774497307361895038711593123296084175366517324848236858814206478832341794984076240705575373725761642781117919411457384054720986085832874911760404702135130467565480130869442215226052840755689566238203685388523897588875468120383748993590318659980360374332929249902076747822458026359589811191750339373419892249975202619803294037940714938580790600335711807895403496194844502627997487442650672304167590767769307661608149675073037623699853328078286508417265884327685403655086467873393504238353401294182095445609153385714873784391066454136124865549523576301250134945135078086970320294483362466994569726897534599628108860919034725883579464818281621141919334820633433301943264331207523217175199849553215301440411037266420482522694882154073984026316837798419003399816519582651336956761261438560359465401402412419975826300589699342179376597011674088038074718357237946551784886502750205518912830549624783099822818811246246480811887542599022850460275974592544546433056336766938610377800211337120244535996852000817809899601170704487325061155016500585177313486722259470288974684747423599375997317619564409658422015697302167201028307802580690669371499386244117160640138866191760060222668504387530288248487787934114610692753767500563962696398513456950950249771020234818812574474094145064050236458787540307941160992496862741437659510803383758496459519125286223772752594352435643238522528399547412113259477676740437943743783528678539412363813215536479409781707855720892571778083482841811365208553508253378419732796237760329834646952406458959469621329612585289986728702079308870826984118170298733607422352024728790851169390452021452669342633383172758222715076384049573161021369930243643956591874894681770158267783427061533979541984269243257430991489593854832548867075915329048790345228171364686716084480239989704355519436317262659018900144025680530482782651866261138803831953885468215325102522550273473408608228106214224794338839165358922165195145884116163386819522860171623123145816253444}
30149  438473131223075615375716931838104751753969456814865001420859953405429729120758544337565: {632919,753475,904170,964448,1054795,1085004,1175187,1265754,1506850,1657315,1808220,1928768,1988778,2169864,2441097,2953034,3342099,3883287,4218620,4667515,4849159,5062344,5601018,5695137,6026600,6112939,6171115,6294871,6656299,6779925,6927370,7072795,7231920,7405338,7714048,7974115,8135910,8312844,8487354,8678304,8732770,9003787,9568938,9604771,9726499,9763092,10479324,10975915,11163019,11264506,11772619,13067306,13171098,13573747,14124819,14572795,14661687,14840779,14945287,15237178,15557047,15593354,15924487,15947170,16023308,17405314,17464279,17487354,17878359,18118394,18384379,18667580,19136604,19658515,20074699,20360444,20552979,20973427,21350410,21738698,21995059,22162327,22276220,22401096,22890440,23439331,23590218,23752939,24263018,24448508,24948970,25201233,25306531,25353687,25605739,25620492,25751745,25883420,26121271,26731464,27050011,27468528,27520087,28013187,28673288,28953314,29497795,29751644,29938764,30072897,30902094,31060104,31112026,31183627,32257449,33361915,33641738,33709591,33932770,33955795,34456136,34551356,34764379,34926440,34942617,35397354,35454266,36004771,36010364,37303219,38401725,38763153,38785544,38900828,39292245,39293515,39314410,39599756,40034298,40477915,40549591,40719324,40746954,40961840,41060492,41229687,41365795,41770339,41911728,41925367,41944066,41957515,42307946,43633737,43731715,43813447,45395324,45617707,45799795,46082070,46320919,46390315,47150694,47152218,47177292,47384119,48571959,48573498,48997916,49151971,49154208,49359080,49638954,50348936,50349018,50609698,51183939,51944925,52478058,52580779,52620044,53174371,53239784,53363114,54595399,54665985,54831639,54959754,54977911,55007239,55298484,55407920,55528965,55668378,56250859,56413196,56571080,56642553,56932172,56992315,57557409,57625651,58310384,58832026,58945699,58989271,59230896,59505987,59894757,60322426,60749239,60940616,62333910,62566915,62612499,62918647,63396746,63444476,63609499,63642465,64154012,65599182,65902634,66133447,66333788,66489504,66490508,66634758,66742419,66994699,67279004,67885296,68390778,68419315,68520725,68558193,69460567,69612008,70688266,72562426,73313098,73608619,74547115,74800692,75080298,75147547,75472599,75708956,75916106,75946939,76229239,76233020,76370958,76822856,77006739,78003787,78313509,78581770,79194248,79783879,80358370,80590280,80916794,81017419,81170705,81973546,82103178,82106499,82224870,82399795,82850011,83270515,83482987,84105609,84430915,84466965,84473587,84610268,84648279,84792634,85300795,85819532,86425713,87177559,87706528,88109419,88197699,89033527,89093529,89456538,89644795,90098096,90512515,90566780,90664065,91090795,91479624,91648508,92219059,93130339,93249939,93400874,94146620,94162184,94298124,94495339,94761399,94845715,94864771,94986440,95385212,96430044,96708336,97263931,97404846,97441315,97778487,97886750,97985265,98280579,98669844,98879754,99460039,99546487,99825739,99924618,...,7807620101854679129176961734571988210023940997694741009843484762209500808583491834311336216045515758337626101862122078472991398650442079833552050859966124492577813429029206479081893308308744643717518186648923736581461587515057781876596476213327534656571842053735438330278888087073100062649905614968072724866702221860717865319570499913476656479651696355211269099568153324139774365749981204435641090795328981136397750164111443847066816337584817009476290935937464135178479289191704143597717441265645332022023747895077114893271602091333542734142336279181228560038325205811832811873345909612988559229729230038482654912402305326375205922503566639325021852654602419504999711525220742921004695813655004871328130899135225624907751379295440267444061493000317873631307371662498119506523340704439603471021960994110729847314388706919012411606383749673999194494815042122875949019149317628057152373582707161479547891267448451157096346024671172508066907000452504645066767243419929035427504477194221407407164999428655093430204904817884091717555933890995197567685724409455395598137075067508653668012405698954183859097345531318952952077962071400399003809579537655194738997667752592260264427971741839012873136604147620069102434998692011149173919599344115637977524377783149045341048816735765558290676953995485749457568276077349578760983672894642684163736164578929738463554654123608738383845668834823792250939074002989685010708607232578688484933672569833488366350397160252531194368032427439247226049090597405255670357183471931421719518628618581631477407391696116053793324299078665830475256291276096703369567610828021630277033191621011357041193913784887974027081380135058944489901955243963160151811739645513148218128078792335426403870740205630363020464611021616144059480972860627947857146415926432391067378263045841810027710407894460733957834265885575172425114080490288219003462138096021414114664621764234259970518596823254605829902050527456975802268941364529185690764371710073329107912493080733247239131032341208485195161369281129855859807995228579334281742274988133694276263087360835094024262988709033671609563542886310239366639281900725643467357993344946054803689578718708707212023770552945281978873707704377147804620541598179133928440600042297904312241297928278491047880826360049071485443899127274113714315820436341966970530768905330451242706966664844182199465306485142100686584403193285991520213208532168803614850357804083290947692616799274791512111288226795832546531857254284099096795369094573977708010112959123507432405630856167224559756171242231199797537509703788117104577405845058629555179450751736664040131125620018442564400725005398617648603625301745941377469725980648719986195113003092669001789810554457354945144586994620202061792298121687095851488585353545629833372442672655347197187732834170666090790826622482079629266497667879516367102661745961042842558067389684944126263049775987272355288221309718248512692476114361058363060588642464171676879117186076082081479128749312367640607053202695701348220196304163322839079261133534349357305528082785846383313202180575623490385477989970540561499393874853115121733687039539384716787625509060129838374962803929704941056911072407871185900503567711843105244292266753941996231163976008456251386151653961492412224512609556435549779992117429762625898826491528105482629701810090256357530101941273143168413730078572310676586599681204187298324285364451875202417702617130455480441725043700491854590346301899442163291378552088825369197227422431712879002230950149952914896496811284825762799774329822952160616555899630723784042323231110976039475256697628505099724779373977005435141892157840539198102103618629963739450884549013269064895517511132057112077535856919827677329754125308278369245824437174649734228216869369721217831313898534275690413961888816819649584505150407915566700317005680366803995278001226714849401756056730987591732524750877765970230083389205433462027121135399063995976429346614487633023545953250801542461703871036004057249079366175740960208299287640090334002756581295432372731681901171916039130651250845944044597770185426425374656530352228218861711141217596075354688181310461911741488745294112156489266205075637744689278687929335659128891528653464857783792599321118169889216515110656915615675293017809118545719823304719114672561783581338857667125224262717047812830262380067629599194356640494751970428609688439204431994418877934980093053118963306240476177255448100411133528037093186276754085678032179004013950074759137334072614576074359741532054895365465934887812342022655237401675140592300969312976403864886146487234390782248823300613872993573185517842257047030074126720359984556533279154475893988528350216038520795724173977799391708205747930828202322987653783825410210112912342159321337191508258748038383247792718826174245080229284290257434684718724380166}
30150  439833004859271660999700323293501137523749151388394252733120894036539838909321935172720: {331529,391781,512261,663014,843892,933689,1114181,1205560,1234469,1356255,1414841,1446672,1566916,1595141,1627506,1687672,1746902,1775369,1835429,1898631,2260275,2375609,2410960,2651704,2712330,2893152,2983167,3094841,3254796,3550502,4111781,4171529,4429551,4456132,5007161,5177716,5273275,5350502,5722169,6069494,6327930,6673721,6749792,6851909,6970661,7468024,7533250,7593516,8037989,8097209,8223014,8274821,8401527,8452361,9039900,9338981,9457061,9642560,9870089,9873784,10341641,10391055,10847880,11083792,11108007,11316472,11571072,11577029,11811941,12164069,12203865,12469266,12731031,12758584,12867461,13017456,13099155,13584134,13861961,13972432,14212409,14353407,14445881,14644638,15087269,15436709,15718986,16074902,16657481,16785254,16831589,16896759,17063621,17561464,18106181,18279689,18558614,18833092,19548916,19600959,19756647,19953221,20029135,21388502,21390521,21734729,22078649,22365029,22855767,23108681,23152502,23316472,23334475,23390031,23793929,23837812,23920755,24034962,24136121,24591929,24990341,25089127,25274681,25450555,25515472,25616054,25785989,26107971,26231031,26523401,26863289,27146309,27177591,27403972,27485669,27845275,28001370,28332809,28422902,28502021,28613050,28671161,28704906,29065541,29515781,29684489,29740709,29868128,30149119,30526949,30540666,30560635,31453624,31591481,31703369,32025615,32354275,32429861,32597321,32608047,32764709,33414330,33601644,33804916,33934409,33937351,34160656,34335660,34767749,35211461,35377721,35385327,35543909,35641952,35841610,36097349,36394527,36441254,36624704,36672762,36926009,37036361,37189555,37256969,37350916,37423455,37697801,38174294,38430738,38825130,39181829,39918352,40097196,40222649,40987721,41202792,41315129,41413472,41533241,41696741,42318902,42458789,42621881,42676229,42784901,43009932,43070170,43189195,43429971,43598921,43658050,43815689,44055319,44140601,44411141,44573369,44627466,44727014,44897609,44908146,45012955,45113609,45706949,45922469,46030181,46353141,46584811,46590156,46668039,46675781,47196472,47212901,47470502,48154934,48481930,48626035,48926309,49460069,49499695,49620041,50462607,50899155,51021586,51056549,51202300,51325615,51684204,51827034,51852089,52389660,52645829,52804361,52910009,52962821,53096031,53181399,53323039,53379064,54015546,54292432,54329272,54490889,54963749,54967574,54972916,55306694,55882304,55959881,55980067,56273849,56744155,57005321,57318329,57683141,57943481,58099589,58178316,58351242,58411589,58879049,58971615,59364902,59399634,59708489,60051447,60277541,60910507,61078986,61120431,61247395,61442760,61567241,61590738,61670201,61698850,62867592,62869624,62903056,62916099,62936170,63210761,63461919,64762612,64764664,64897061,65100869,65253641,65355449,65508101,65538944,65775055,65864009,66016421,66168761,66185272,66549730,66574649,66878729,67030661,67132024,67219999,68092169,68092986,68245252,68546021,68753414,69123105,69200441,69220591,69259900,69294967,69970744,70104329,70516495,70713850,70726041,70728327,70765938,71165215,71854469,72153509,72860247,72887980,73108852,73194979,73197881,73279672,73396409,73496874,73731312,73736534,73941701,74038620,74224504,74398502,74436581,74458431,74584889,75128069,75423941,75523404,75523527,75914547,76175770,76309829,76743212,77829449,78513209,78717087,78835834,78930066,78951941,78974528,79244069,79305595,79341316,79859676,79973129,80044671,80192515,80312741,80748809,82004921,82391911,82438469,82439631,82917235,82947726,83111880,83113135,83278694,83447561,83483332,83502567,83591429,84098755,84309689,84619794,84856620,85237814,85359881,85398258,85502789,85889702,86026169,86311241,86927909,87015010,87465576,87590501,87637769,87921209,88248039,88628549,88652672,88846344,88989892,89287109,90318821,90483639,90513728,90739769,91187704,91253381,91407494,91410924,91452914,91719461,91730774,92091749,92277701,92417081,92509961,92556389,93500865,93668261,94636195,94637369,94735498,94997287,95095119,95166714,95291275,95419301,96028570,96231018,96427781,97204409,97204502,97660169,97887749,98296889,98398773,98478521,98614661,98853951,98992810,99008767,99500682,99624679,99656009,99734256,99735762,99952137,99972101,...,11711430152782018693765442601857982315035911496542111514765227143314251212875237751467004324068273637506439152793183117709487097975663119750328076289949186738866720143543809718622839962463116965576277279973385604872192381272586672814894714319991301984857763080603157495418332130609650093974858422452109087300053332791076797979355749870214984719477544532816903649352229986209661548624971806653461636192993471704596625246167165770600224506377225514214436403906196202767718933787556215396576161898467998033035621842615672339907403137000314101213504418771842840057487808717749217810018864419482838844593845057723982368603457989562808883755349958987532778981903629257499567287831114381507043720482507306992196348702838437361627068943160401166092239500476810446961057493747179259785011056659405206532941491166094770971583060378518617409575624510998791742222563184313923528723976442085728560374060742219321836901172676735644519037006758762100360500678756967600150865129893553141256715791332111110747499142982640145307357226826137576333900836492796351528586614183093397205612601262980502018608548431275788646018296978429428116943107100598505714369306482792108496501628888390396641957612758519309704906221430103653652498038016723760879399016173456966286566674723568011573225103648337436015430993228624186352414116024368141475509341964026245604246868394607695331981185413107575768503252235688376408611004484527516062910848868032727400508854750232549525595740378796791552048641158870839073635896107883505535775207897132579277942927872447216111087544174080689986448617998745712884436914145055054351416242032445415549787431517035561790870677331961040622070202588416734852932865944740227717609468269722327192118188503139605806110308445544530696916532424216089221459290941921785719623889648586601067394568762715041565611841691100936751398828362758637671120735432328505193207144032121171996932646351389955777895234881908744853075791185463703403412046793778536146557565109993661868739621099870858696548511812727792742053921694783789711992842869001422613412482200541414394631041252641036394483063550507414345314329465359049958922851088465201036990017419082205534368078063060818035655829417922968310561556565721706930812397268700892660900063446856468361946892417736571821239540073607228165848690911170571473730654512950455796153357995676864060449997266273299197959727713151029876604789928987280319812798253205422275536706124936421538925198912187268166932340193748819797785881426148645193053641860966562015169438685261148608446284250836839634256863346799696306264555682175656866108767587944332769176127604996060196688430027663846601087508097926472905437952618912066204588970973079979292669504639003502684715831686032417716880491930303092688447182530643777232878030318444750058664008983020795781599251255999136186239933723119443899746501819274550653992618941564263837101084527416189394574663980908532932331964577372769038714171541587544590882963696257515318675779114123122218693123968551460910579804043552022330294456244984258618891700301524035958292124178769574969803270863435235578216984955810842249090812279672682600530559309077075181438263590194757562444205894557411585366608611806778850755351567764657866438400130912994346745964012684377079227480942238618336768914334653324669988176144643938848239737292158223944552715135384536295152911909714752620595117858466014879899521806280947486428046677812803626553925695683220662587565550737781885519452849163244937067828133238053795841133647569318503346425224929372344745216927238644199661494734428240924833849446085676063484846666464059212885046442757649587169060965508152712838236760808797153155427944945609176326823519903597343276266698085668116303785379741515994631187962417553868736655761974601342325304054581826746970847801413535620942833225229474376757725611873350050475508520550205992917001840072274102634085096481387598787126316648955345125083808150193040681703098595993964644019921731449535318929876202313692555806554006085873619049263611440312448931460135501004134871943148559097522851757874058695976876268916066896655278139638061984795528342328292566711826394113032032271965692867612233117941168234733899307613456617033918031894003488693337292980197286675688898981677254833824772665985373423512939526713677818579734957078672008842675372008286500687836394075571719245393570101444398791534960742127955642914532658806647991628316902470139579678444959360714265883172150616700292055639779415131128517048268506020925112138706001108921864111539612298082343048198902331718513033982856102512710888451453969464605797329219730851586173373234950920809490359778276763385570545111190080539976834799918731713840982792525324057781193586260966699087562308621896242303484481480675738115315169368513238982005787262388122057574871689078239261367620343926435386152027078086570249}
30151  441197071462989517344132018777187056730326746494603715461573478274441208080220681522009: {994521,1054865,1265838,1476713,1506950,1808340,1928896,1958645,2109590,2170008,2320241,2350374,2441259,2531508,2620353,3013700,3314630,3616440,3857536,3977556,4068495,4339728,4882194,5325753,5570165,5906068,6472145,6534521,6684198,7439393,7766574,8025753,8437240,8639561,9104241,9335030,9491895,9698318,9901913,10124688,10267169,10870793,11163761,11202036,11299875,11351093,11390274,12053200,12225878,12251921,12334521,12342230,12589742,13157633,13312598,13559850,13854740,14145590,14235881,14463840,14810676,15366281,15428096,15864281,15948230,16041701,16271820,16586753,16625688,16974708,17356608,17465540,18007574,18385601,18703899,18931013,19137876,19209542,19452998,19526184,20376201,20401913,20958648,21459161,21951830,21966957,21996521,22326038,22529012,23440889,23541365,23545238,23578479,24112353,24436145,24582713,25177881,25607441,26134612,26191841,26342196,27051809,27147494,27521921,27837921,28249638,28915529,29145590,29323374,29681558,29797265,29890574,30474356,30870593,31114094,31186708,31848974,31894340,32046616,32082753,34254965,34728753,34810628,34852289,34928558,34974708,35756718,36052443,36236788,36768758,37335160,38273208,38424081,39317030,40149398,40720888,41105958,41296913,41691833,41928161,41946854,42002055,42256145,42551093,42634353,42700820,42919575,43057359,43477396,43990118,44324654,44552440,44802192,45780880,45810999,46688645,46706681,46878662,47180436,47505878,47538113,47842961,48526036,48897016,49548161,49811729,49897940,50121495,50402466,50613062,50707374,51211478,51240984,51503490,51766840,51780641,52242542,53462928,53762415,54100022,54661881,54937056,55009143,55010921,55040174,56026374,56669081,56841569,57261441,57346576,57646107,57906628,57912113,58088693,58237695,58740521,58766753,58995590,59503288,59648369,59877528,60145794,61224401,61804188,62120208,62224052,62367254,63478353,63577481,64002875,64119713,64514898,64605255,64946441,65487075,66723830,66941199,67090521,67283476,67362219,67419182,67865540,67911590,67996361,68716145,68912272,69102712,69528758,69714593,69852880,69885234,70794708,70908532,71205753,72009542,72020728,72232401,72722895,73386401,74358401,74486513,74606438,76532379,76803450,76966361,77526306,77571088,77740551,77801656,78584490,78587030,78628820,78813281,79199512,79789241,80068596,80953265,80955830,81023319,81099182,81438648,81493908,81923680,82089761,82120984,82451361,82459374,82731590,82960041,83540678,83823456,83850734,83888132,83915030,84615892,84881873,85306565,86574875,87267474,87463430,87526863,87593681,87626894,89047353,89099451,90790648,90992561,91109975,91235414,91386065,91599590,91618479,92164140,92386107,92548275,92641838,92780630,94301388,94304436,94354584,94404255,94768238,94871093,95787041,95874833,95929015,97143918,97146996,97995832,98303942,98308416,98475233,98718160,99176645,99277908,99553121,99824595,99832421,...,15615240203709358258353923469143976420047881995389482019686969524419001617166983668622672432091031516675252203724244156945982797300884159667104101719932248985155626858058412958163786616617489287435036373297847473162923175030115563753192952426655069313143684107470876660557776174146200125299811229936145449733404443721435730639140999826953312959303392710422538199136306648279548731499962408871282181590657962272795500328222887694133632675169634018952581871874928270356958578383408287195434882531290664044047495790154229786543204182667085468284672558362457120076650411623665623746691819225977118459458460076965309824804610652750411845007133278650043705309204839009999423050441485842009391627310009742656261798270451249815502758590880534888122986000635747262614743324996239013046681408879206942043921988221459694628777413838024823212767499347998388989630084245751898038298635256114304747165414322959095782534896902314192692049342345016133814000905009290133534486839858070855008954388442814814329998857310186860409809635768183435111867781990395135371448818910791196274150135017307336024811397908367718194691062637905904155924142800798007619159075310389477995335505184520528855943483678025746273208295240138204869997384022298347839198688231275955048755566298090682097633471531116581353907990971498915136552154699157521967345789285368327472329157859476927109308247217476767691337669647584501878148005979370021417214465157376969867345139666976732700794320505062388736064854878494452098181194810511340714366943862843439037257237163262954814783392232107586648598157331660950512582552193406739135221656043260554066383242022714082387827569775948054162760270117888979803910487926320303623479291026296436256157584670852807741480411260726040929222043232288118961945721255895714292831852864782134756526091683620055420815788921467915668531771150344850228160980576438006924276192042828229329243528468519941037193646509211659804101054913951604537882729058371381528743420146658215824986161466494478262064682416970390322738562259711719615990457158668563484549976267388552526174721670188048525977418067343219127085772620478733278563801451286934715986689892109607379157437417414424047541105890563957747415408754295609241083196358267856881200084595808624482595856556982095761652720098142970887798254548227428631640872683933941061537810660902485413933329688364398930612970284201373168806386571983040426417064337607229700715608166581895385233598549583024222576453591665093063714508568198193590738189147955416020225918247014864811261712334449119512342484462399595075019407576234209154811690117259110358901503473328080262251240036885128801450010797235297207250603491882754939451961297439972390226006185338003579621108914709890289173989240404123584596243374191702977170707091259666744885345310694394375465668341332181581653244964159258532995335759032734205323491922085685116134779369888252526099551974544710576442619436497025384952228722116726121177284928343353758234372152164162958257498624735281214106405391402696440392608326645678158522267068698714611056165571692766626404361151246980770955979941081122998787749706230243467374079078769433575251018120259676749925607859409882113822144815742371801007135423686210488584533507883992462327952016912502772303307922984824449025219112871099559984234859525251797652983056210965259403620180512715060203882546286336827460157144621353173199362408374596648570728903750404835405234260910960883450087400983709180692603798884326582757104177650738394454844863425758004461900299905829792993622569651525599548659645904321233111799261447568084646462221952078950513395257010199449558747954010870283784315681078396204207237259927478901769098026538129791035022264114224155071713839655354659508250616556738491648874349299468456433738739442435662627797068551380827923777633639299169010300815831133400634011360733607990556002453429698803512113461975183465049501755531940460166778410866924054242270798127991952858693228975266047091906501603084923407742072008114498158732351481920416598575280180668005513162590864745463363802343832078261302501691888089195540370852850749313060704456437723422282435192150709376362620923823482977490588224312978532410151275489378557375858671318257783057306929715567585198642236339778433030221313831231350586035618237091439646609438229345123567162677715334250448525434095625660524760135259198388713280989503940857219376878408863988837755869960186106237926612480952354510896200822267056074186372553508171356064358008027900149518274668145229152148719483064109790730931869775624684045310474803350281184601938625952807729772292974468781564497646601227745987146371035684514094060148253440719969113066558308951787977056700432077041591448347955598783416411495861656404645975307567650820420225824684318642674383016517496076766495585437652348490160458568580514869369437448760332}
30152  442565343887385174178263469500603416955324549271622627356848594421866911048148799799370: {391807,572527,663058,783562,1024522,1294687,1326028,1687784,1835551,1867378,1898757,2228362,2260425,2411120,2468938,2712510,2829682,2893344,3133832,3164385,3190282,3255012,3375344,3493804,3525561,3550738,3670858,3767125,3797262,4171807,4520550,4751218,4821920,4888207,4971945,5303408,5424660,5782087,5786304,5966334,6189682,6509592,7101004,7323291,7382585,8097751,8223562,8343058,8859102,8912264,10014322,10026297,10355432,10401247,10546550,10701004,11444338,11649861,12138988,12655860,13347442,13499584,13703818,13941322,14002545,14547477,14936048,15066500,15187032,15495967,16019551,16075978,16194418,16446028,16549642,16803054,16890751,16904722,17085411,17318425,18079800,18338817,18513345,18677962,18884613,18914122,19285120,19740178,19747568,19968897,20339775,20683282,20782110,20875087,21218385,21695760,21831925,22080151,22167584,22216014,22595527,22632944,23142144,23154058,23623882,23922345,24328138,24407730,24938532,25462062,25517168,25734922,25844527,26034912,26198310,27011361,27168268,27723922,27944864,28040789,28161265,28424818,28706814,28814313,28891762,29179497,29289276,29742751,30174538,30585151,30873418,31437972,31761487,32149804,32668265,32766967,32927745,33314962,33489057,33570508,33663178,33793518,34127242,35122928,35317857,35601751,35630777,36212362,36559378,37117228,37666184,38092945,38983385,39097832,39201918,39513294,39732751,39867925,39906442,40058270,40088389,40225447,40721241,40881367,41045167,42374457,42516127,42679207,42777004,42781042,42784889,43469458,43513285,43718385,43818751,43985061,44157298,44306047,44522337,44730058,44835861,45116767,45295985,45711534,46217362,46305004,46632944,46668950,46671141,46780062,47587858,47675624,47773461,47841510,48069924,48272242,48983167,49183858,49463551,49943287,49980682,50178254,50549362,50901110,51030944,51060151,51232108,51571978,52065377,52215942,52392837,52462062,52966567,53046802,53376025,53635077,53726578,54292618,54346745,54355182,54547327,54807944,54971338,55020151,55153137,55690550,56002740,56665618,56845804,57004042,57061567,57226100,57342322,57409812,57687247,58131082,58467727,58975545,59031562,59368978,59481418,59736256,60224097,60298238,60464873,60657545,61053898,61081332,61121270,61658937,61942441,62372425,62805151,62907248,62920281,63018137,63182962,63266527,63406738,64051230,64708550,64859722,65194642,65216094,65529418,65985177,66158261,66325807,66486981,66828660,67203288,67609832,67868818,67874702,68076449,68321312,68671320,69299573,69535498,69657751,70317993,70422922,70755442,70770654,71087818,71258817,71283904,71683220,71855861,72194698,72383285,72789054,72882508,73249408,73345524,73401751,73852018,74072722,74379110,74513938,74701832,74846910,75395602,75603699,75919593,76061061,76348588,76364551,76817217,76861476,77255235,77650260,77780065,78363658,78363813,79441817,79836704,80194392,80445298,81150033,81806153,81975442,82405584,82560261,82630258,82637047,82826944,82925551,83066482,83357767,83393482,84039561,84076687,84104345,84363751,84637804,84831925,84917578,85243762,85352458,85569802,85746353,86019864,86140340,86378390,86503157,86859942,87197842,87316100,87631378,87644287,87927751,88110638,88281202,88493385,88635665,88822282,88917607,89058727,89146738,89254932,89340751,89454028,89795218,89816292,90025910,90218691,90227218,91413898,91844938,92060362,92085077,92563327,92706282,93169622,93180312,93336078,93351562,93536551,93550881,94392944,94425802,94941004,95885407,96309868,96772347,96963860,97252070,97257367,97852618,98286025,98723093,98920138,98999390,99240082,99631301,...,23422860305564037387530885203715964630071822993084223029530454286628502425750475502934008648136547275012878305586366235418974195951326239500656152579898373477733440287087619437245679924926233931152554559946771209744384762545173345629789428639982603969715526161206314990836664261219300187949716844904218174600106665582153595958711499740429969438955089065633807298704459972419323097249943613306923272385986943409193250492334331541200449012754451028428872807812392405535437867575112430793152323796935996066071243685231344679814806274000628202427008837543685680114975617435498435620037728838965677689187690115447964737206915979125617767510699917975065557963807258514999134575662228763014087440965014613984392697405676874723254137886320802332184479000953620893922114987494358519570022113318810413065882982332189541943166120757037234819151249021997583484445126368627847057447952884171457120748121484438643673802345353471289038074013517524200721001357513935200301730259787106282513431582664222221494998285965280290614714453652275152667801672985592703057173228366186794411225202525961004037217096862551577292036593956858856233886214201197011428738612965584216993003257776780793283915225517038619409812442860207307304996076033447521758798032346913932573133349447136023146450207296674872030861986457248372704828232048736282951018683928052491208493736789215390663962370826215151537006504471376752817222008969055032125821697736065454801017709500465099051191480757593583104097282317741678147271792215767011071550415794265158555885855744894432222175088348161379972897235997491425768873828290110108702832484064890831099574863034071123581741354663922081244140405176833469705865731889480455435218936539444654384236377006279211612220616891089061393833064848432178442918581883843571439247779297173202134789137525430083131223683382201873502797656725517275342241470864657010386414288064242343993865292702779911555790469763817489706151582370927406806824093587557072293115130219987323737479242199741717393097023625455585484107843389567579423985685738002845226824964401082828789262082505282072788966127101014828690628658930718099917845702176930402073980034838164411068736156126121636071311658835845936621123113131443413861624794537401785321800126893712936723893784835473143642479080147214456331697381822341142947461309025900911592306715991353728120899994532546598395919455426302059753209579857974560639625596506410844551073412249872843077850397824374536333864680387497639595571762852297290386107283721933124030338877370522297216892568501673679268513726693599392612529111364351313732217535175888665538352255209992120393376860055327693202175016195852945810875905237824132409177941946159958585339009278007005369431663372064835433760983860606185376894365061287554465756060636889500117328017966041591563198502511998272372479867446238887799493003638549101307985237883128527674202169054832378789149327961817065864663929154745538077428343083175089181765927392515030637351558228246244437386247937102921821159608087104044660588912489968517237783400603048071916584248357539149939606541726870471156433969911621684498181624559345365201061118618154150362876527180389515124888411789114823170733217223613557701510703135529315732876800261825988693491928025368754158454961884477236673537828669306649339976352289287877696479474584316447889105430270769072590305823819429505241190235716932029759799043612561894972856093355625607253107851391366441325175131101475563771038905698326489874135656266476107591682267295138637006692850449858744689490433854477288399322989468856481849667698892171352126969693332928118425770092885515299174338121931016305425676473521617594306310855889891218352653647039807194686552533396171336232607570759483031989262375924835107737473311523949202684650608109163653493941695602827071241885666450458948753515451223746700100951017041100411985834003680144548205268170192962775197574252633297910690250167616300386081363406197191987929288039843462899070637859752404627385111613108012171747238098527222880624897862920271002008269743886297118195045703515748117391953752537832133793310556279276123969591056684656585133423652788226064064543931385735224466235882336469467798615226913234067836063788006977386674585960394573351377797963354509667649545331970746847025879053427355637159469914157344017685350744016573001375672788151143438490787140202888797583069921484255911285829065317613295983256633804940279159356889918721428531766344301233400584111279558830262257034096537012041850224277412002217843728223079224596164686096397804663437026067965712205025421776902907938929211594658439461703172346746469901841618980719556553526771141090222380161079953669599837463427681965585050648115562387172521933398175124617243792484606968962961351476230630338737026477964011574524776244115149743378156478522735240687852870772304054156173140498}
30153  443937835024785329594056795233091029352428905585187339327896582600083916577939136682278: {994587,1175343,1476811,1536783,1657535,1989042,2109730,2531676,2742103,2801067,2953426,3013900,3342543,3616680,3703407,3857792,3917290,4068765,4219180,4244523,4340016,4367255,4640482,4700748,4785423,4882518,5063016,5240706,5326107,5506287,5695893,6027400,6629260,6780825,7126827,7232880,7620107,7715072,7798231,7955112,8136990,8679456,8704391,8876255,8949501,9061003,9284523,9606047,9764388,10651506,11140330,11774183,11812136,12133927,12335343,12514587,12944290,13069042,13288653,13368396,13376255,14479543,14878786,15021483,15173735,15533148,15819825,16051506,16824223,16874480,17166507,17279122,17541887,17730667,18208482,18670060,18833125,18983790,19396636,19803826,20021163,20249376,20534338,20555727,20557535,20911983,21158191,21741586,22327522,22404072,22599750,22702186,22780548,23485451,24041111,24106400,24113967,24291627,24451756,24503842,24584347,24669042,24684460,24824463,25179484,25204581,25357083,26315266,26625196,27119700,27443867,27709480,28016943,28291180,28371183,28373927,28471762,28917451,28927680,29610267,29621352,30732562,30856192,31024923,31173165,31728562,31896460,32083402,32543640,32957911,33173506,33251376,33324021,33949416,33960335,34210603,34713216,34731087,34931080,35435823,36015148,36492207,36611595,36771202,37326047,37407798,37862026,38193093,38275752,38419084,38602383,38905996,39052368,39297465,40187255,40752402,40803826,40806347,41585883,41716171,41917296,41963135,42637227,42918322,43060221,43245851,43337643,43903660,43933914,43993042,44652076,45058024,45261807,45461111,46219127,46310127,46396535,46881778,47082730,47090476,47156958,47956951,48224706,48872290,49086347,49165426,49551463,49972443,50355762,50494767,50549351,50690277,51190863,51214882,52269224,52383682,52684392,53471255,54103618,54294988,54318543,54622751,54839067,55043842,55675842,56499276,57359723,57831058,57881255,58291180,58646748,58802877,58868407,59158603,59269941,59363116,59594530,59781148,59859663,60087405,60948712,61195303,61741186,62228188,62373416,63697948,63788680,64040135,64093232,64165506,64171563,65204187,65318207,65364103,66235947,66400331,67095087,68509930,68567301,69326043,69457506,69621256,69704578,69757367,69857116,69949416,70003425,70170093,70493527,71057255,71381787,71513436,71532625,71762265,72104886,72408363,72473576,73537516,73775787,74670320,74971023,75137023,75267381,75824043,76351665,76546416,76848162,77357967,78323913,78634060,78693093,79570203,80298796,80589867,81438927,81441776,81532773,82211916,82457007,82593826,83320331,83383666,83535825,83856322,83893708,84004110,84402023,84512290,84998427,85102186,85268706,85401640,85506063,85839150,86013483,86021227,86114718,86439947,86729383,86954792,87196623,87980236,88394207,88547343,88649308,89053467,89104880,89222127,89604025,89604384,90447357,91103135,91561760,91580847,91621998,91681905,93377290,93413362,93757324,94360872,94774443,95011756,95076226,95110107,95435735,95685922,96076845,96202603,97052072,97062825,97289583,97791963,97794032,97824141,98294127,98346047,99096322,99623458,99795880,...,35134290458346056081296327805573946945107734489626334544295681429942753638625713254401012972204820912519317458379549353128461293926989359250984228869847560216600160430631429155868519887389350896728831839920156814616577143817760018444684142959973905954573289241809472486254996391828950281924575267356327261900159998373230393938067249610644954158432633598450710948056689958628984645874915419960384908578980415113789875738501497311800673519131676542643309211718588608303156801362668646189728485695403994099106865527847017019722209411000942303640513256315528520172463426153247653430056593258448516533781535173171947105810373968688426651266049876962598336945710887772498701863493343144521131161447521920976589046108515312084881206829481203498276718501430431340883172481241537779355033169978215619598824473498284312914749181135555852228726873532996375226667689552941770586171929326257185681122182226657965510703518030206933557111020276286301081502036270902800452595389680659423770147373996333332242497428947920435922071680478412729001702509478389054585759842549280191616837803788941506055825645293827365938054890935288284350829321301795517143107919448376325489504886665171189925872838275557929114718664290310960957494114050171282638197048520370898859700024170704034719675310945012308046292979685872559057242348073104424426528025892078736812740605183823085995943556239322727305509756707065129225833013453582548188732546604098182201526564250697648576787221136390374656145923476612517220907688323650516607325623691397737833828783617341648333262632522242069959345853996237138653310742435165163054248726097336246649362294551106685372612031995883121866210607765250204558798597834220683152828404809166981576354565509418817418330925336633592090749597272648267664377872825765357158871668945759803202183706288145124696835525073302810254196485088275913013362206296985515579621432096363515990797939054169867333685704645726234559227373556391110210236140381335608439672695329980985606218863299612576089645535438183378226161765084351369135978528607004267840237446601624243183893123757923109183449190651522243035942988396077149876768553265395603110970052257246616603104234189182454106967488253768904931684669697165120792437191806102677982700190340569405085840677253209715463718620220821684497546072733511714421191963538851367388460073987030592181349991798819897593879183139453089629814369786961840959438394759616266826610118374809264616775596736561804500797020581246459393357644278445935579160925582899686045508316055783445825338852752510518902770590040399088918793667046526970598326302763832998307528382814988180590065290082991539803262524293779418716313857856736198613766912919239937878008513917010508054147495058097253150641475790909278065341547591931331698634090955334250175992026949062387344797753767997408558719801169358331699239505457823651961977856824692791511303253582248568183723991942725598796995893732118307116142514624762633772648891088772545956027337342369366656079371905654382731739412130656066990883368734952775856675100904572107874876372536308724909409812590305706734650954867432526747272436839018047801591677927231225544314790770584272687332617683672234756099825835420336552266054703293973599315200392738983040237892038053131237682442826715855010306743003959974009964528433931816544719211876474671833658145406153608885458735729144257861785353575398044639698565418842842459284140033438410879661777087049661987762696652213345656558358547489734811203484399714161387523400942707955510039275674788117034235650781715932598984484203284722774501548338257028190454539999392177638655139328272948761507182896524458138514710282426391459466283834836827528980470559710792029828800094257004348911356139224547983893563887252661606209967285923804026975912163745480240912543404240606862828499675688423130273176835620050151426525561650617978751005520216822307902255289444162796361378949946866035375251424450579122045109295787981893932059765194348605956789628606941077667419662018257620857147790834320937346794380406503012404615829445677292568555273622176087930628806748200689965834418914185954386585026984877700135479182339096096815897078602836699353823504704201697922840369851101754095682010466080011878940591860027066696945031764501474317997956120270538818580141033455739204871236016026528026116024859502063509182226715157736180710304333196374604882226383866928743597976419943974884950707410418739035334878082142797649516451850100876166919338245393385551144805518062775336416118003326765592334618836894247029144596706995155539101948568307538132665354361908393817391987659192554758520119704852762428471079334830290156711635333570241619930504399756195141522948377575972173343580758782900097262686925865688726910453444442027214345945508105539716946017361787164366172724615067234717784102861031779306158456081234259710747}
30154  445314557806806069187352086017531673108544235855578244872612641952265832172109369722801: {512329,783614,1145054,1234633,1326116,1567124,2049044,2495893,2589374,2652056,2983563,3164595,3215029,3375568,3671102,3734756,3767375,3797514,4430139,4456724,4520850,4822240,4937876,5273975,5425020,5659364,5786688,5875935,6267664,6328770,6380564,6510024,6750688,6793429,6960723,6971593,6987608,7051122,7101476,7323777,7341716,7534250,7594524,7861059,8286575,8343614,8394313,9041100,9458329,9502436,9643840,9776414,9943890,10335619,10606816,10849320,11564174,11572608,11930953,11932668,12205485,12379364,12810613,13019184,14202008,14564533,14646582,14765170,15438793,15977259,16195502,16447124,16686116,16710495,17355829,17718204,17824528,18224329,19264153,19416435,19603563,20028644,20052594,20646553,20710864,20802494,21093100,21402008,21852373,22318179,22888676,23299722,23337575,24077259,24082393,24245795,24253429,24277976,25107529,25311720,25918683,26640373,26694884,26999168,27312723,27407636,27659029,27828553,27882644,28005090,28475685,29094954,29705739,29872096,30025813,30133000,30374064,30564695,30801507,30855575,30991934,31474355,31707733,32039102,32151956,32388836,32612379,32892056,33099284,33281495,33491283,33606108,33781502,33809444,33899625,34053279,34170822,34550473,34636850,35363975,36159600,36677634,36755763,37003563,37026690,37041493,37355924,37769226,37828244,38570240,39187273,39425771,39472899,39480356,39495136,39870575,39937794,40679550,41366564,41564220,41648053,41750174,42436770,42707643,42790873,43279573,43391520,43605013,43663850,44160302,44335168,44432028,45018935,45191054,45227893,45265888,45735571,45875029,46036633,46098843,46284288,46308116,46682329,47247764,47377187,47592843,47844690,48023855,48125103,48632495,48656276,48815460,48933193,49760259,49877064,50924124,51034336,51469844,51689054,52069824,52283029,52396620,52917493,53075929,53330123,54022722,54336536,54576739,54879575,55156803,55447844,55601113,55815095,55889728,56081578,56111697,56322530,56386453,56793039,56849636,57413628,57628626,57783524,58358994,58578552,58863095,59485502,60286153,60349076,60918599,61128603,61170302,61205739,61679029,61746836,61833433,62450329,62875944,63414379,63522974,64299608,64377483,65336530,65364853,65533934,65855490,65900871,65989563,66127513,66629924,66888373,66978114,67040329,67141016,67326356,67587036,67868735,68254484,69229787,70214773,70245856,70322667,70624095,70635714,70735437,71203502,71261554,72337059,72424724,72863975,73118756,73204703,73308435,73748139,74203895,74234456,74726435,75332368,75533643,76085443,76185890,76822323,77785235,77966770,78195664,78403836,78575523,79026588,79465502,79622435,79735850,79812884,80116540,80176778,80421529,80450894,80566933,81155427,81442482,81727573,81762734,82090334,82565763,83513763,83793347,84748914,84752329,84920563,85032254,85358414,85467829,85554008,85562084,85569778,86324053,86746587,86938916,87026570,87321395,87436770,87461653,87637502,87970122,88314596,88612094,89044674,89391795,89460116,89671722,90233534,90285493,90591970,91423068,91921895,92384473,92434724,92523829,92610008,92611779,93265888,93337900,93342282,93560124,93913429,94605529,95157913,95175716,95351248,95433673,95546922,95683020,95716511,96139848,96248259,96544484,96679999,97966334,98292575,98367716,98927102,99264073,99399829,99886574,99961364,...,46845720611128074775061770407431929260143645986168446059060908573257004851500951005868017296273094550025756611172732470837948391902652479001312305159796746955466880574175238874491359849852467862305109119893542419488769525090346691259578857279965207939431052322412629981673328522438600375899433689808436349200213331164307191917422999480859938877910178131267614597408919944838646194499887226613846544771973886818386500984668663082400898025508902056857745615624784811070875735150224861586304647593871992132142487370462689359629612548001256404854017675087371360229951234870996871240075457677931355378375380230895929474413831958251235535021399835950131115927614517029998269151324457526028174881930029227968785394811353749446508275772641604664368958001907241787844229974988717039140044226637620826131765964664379083886332241514074469638302498043995166968890252737255694114895905768342914241496242968877287347604690706942578076148027035048401442002715027870400603460519574212565026863165328444442989996571930560581229428907304550305335603345971185406114346456732373588822450405051922008074434193725103154584073187913717712467772428402394022857477225931168433986006515553561586567830451034077238819624885720414614609992152066895043517596064693827865146266698894272046292900414593349744061723972914496745409656464097472565902037367856104982416987473578430781327924741652430303074013008942753505634444017938110064251643395472130909602035419000930198102382961515187166208194564635483356294543584431534022143100831588530317111771711489788864444350176696322759945794471994982851537747656580220217405664968129781662199149726068142247163482709327844162488280810353666939411731463778960910870437873078889308768472754012558423224441233782178122787666129696864356885837163767687142878495558594346404269578275050860166262447366764403747005595313451034550684482941729314020772828576128484687987730585405559823111580939527634979412303164741854813613648187175114144586230260439974647474958484399483434786194047250911170968215686779135158847971371476005690453649928802165657578524165010564145577932254202029657381257317861436199835691404353860804147960069676328822137472312252243272142623317671691873242246226262886827723249589074803570643600253787425873447787569670946287284958160294428912663394763644682285894922618051801823184613431982707456241799989065093196791838910852604119506419159715949121279251193012821689102146824499745686155700795648749072667729360774995279191143525704594580772214567443866248060677754741044594433785137003347358537027453387198785225058222728702627464435070351777331076704510419984240786753720110655386404350032391705891621751810475648264818355883892319917170678018556014010738863326744129670867521967721212370753788730122575108931512121273779000234656035932083183126397005023996544744959734892477775598986007277098202615970475766257055348404338109664757578298655923634131729327858309491076154856686166350178363531854785030061274703116456492488874772495874205843642319216174208089321177824979937034475566801206096143833168496715078299879213083453740942312867939823243368996363249118690730402122237236308300725753054360779030249776823578229646341466434447227115403021406271058631465753600523651977386983856050737508316909923768954473347075657338613298679952704578575755392958949168632895778210860541538145180611647638859010482380471433864059519598087225123789945712186711251214506215702782732882650350262202951127542077811396652979748271312532952215183364534590277274013385700899717489378980867708954576798645978937712963699335397784342704253939386665856236851540185771030598348676243862032610851352947043235188612621711779782436705307294079614389373105066792342672465215141518966063978524751849670215474946623047898405369301216218327306987883391205654142483771332900917897507030902447493400201902034082200823971668007360289096410536340385925550395148505266595821380500335232600772162726812394383975858576079686925798141275719504809254770223226216024343494476197054445761249795725840542004016539487772594236390091407031496234783907505075664267586621112558552247939182113369313170266847305576452128129087862771470448932471764672938935597230453826468135672127576013954773349171920789146702755595926709019335299090663941493694051758106854711274318939828314688035370701488033146002751345576302286876981574280405777595166139842968511822571658130635226591966513267609880558318713779837442857063532688602466801168222559117660524514068193074024083700448554824004435687456446158449192329372192795609326874052135931424410050843553805815877858423189316878923406344693492939803683237961439113107053542282180444760322159907339199674926855363931170101296231124774345043866796350249234487584969213937925922702952461260677474052955928023149049552488230299486756312957045470481375705741544608108312346280996}
30155  446695525204471902715374159093015447936369370133795771083810207981853342718925251261836: {1175421,1657645,1717581,1958905,1989174,2320549,2350686,2561305,2953622,3073566,3315070,3646093,3884061,3978084,4219460,4668445,5063352,5484206,5506653,5570905,5602134,5696271,5906852,6027800,6114157,6172345,6685086,6781275,7074205,7233360,7406814,7715584,7834580,7975705,8137530,8438360,8489046,8680032,8734510,8876845,9005581,9177145,9280964,9401496,9493155,9570846,9728437,9765036,10126032,10268533,10481412,10576683,10652214,11012574,11301375,11352601,11391786,11878045,12054800,12426757,12515421,13159381,13258520,13561650,13576453,14253654,14465760,14664621,14843737,14915835,15240214,15430144,15474205,15560149,15596462,15910224,15927661,16273980,17346261,17358912,17408782,17543053,17752510,17899002,18122006,18569046,18726757,19212094,19528776,20078701,20558905,20731321,20857645,20977609,21243229,21303012,21969873,22147755,22280660,23548366,23624272,24042709,24147013,24267854,24293253,24670686,25029174,25035805,25311577,25888580,26138084,26366375,26577306,26736792,26752510,26869477,27755533,28375813,28610845,28780549,28959086,29757572,29758021,30042966,30078891,30347470,31066296,31203741,31639650,32060149,32103012,32285497,32433661,33368605,33648446,33748960,34250869,34259545,34333014,34558244,34853305,34949583,35083774,35461334,36416964,37340120,37666250,37967580,38793272,39607652,40042326,40189945,40369237,40486045,40498752,41068676,41111454,41115070,41374105,41823966,42007635,42189613,42261805,42316382,43248733,43483172,43642431,44112601,44655044,44808144,45199500,45404372,45561096,46487901,46694905,46970902,47285305,47544469,48058653,48082222,48212800,48227934,48583254,48903512,49007684,49168694,49338084,49350445,49368920,49406653,49648926,50358968,50409162,50469061,50672253,50714166,50809477,51108733,51256233,51708205,51955275,52293469,52630532,53015173,53250392,54239400,54887734,55016451,55418960,55540035,55643737,56033886,56262157,56582360,56653839,56742366,56747854,56943524,57834902,57855360,57885145,58404637,58748389,59059705,59220534,59242704,59906691,60820345,61019325,61048957,61465124,61712384,62049846,62346330,62625261,63457124,63655155,63792920,64166804,64337305,64793749,64895149,64955149,65087280,65495775,65618797,65915822,66240453,66347012,66502752,66648042,67786581,67898832,67920670,68421206,68504461,68837677,69309805,69426432,69462174,69862160,70871646,71062045,71138701,71767035,72030296,72229405,72984414,73223190,73396213,73542404,74652094,74702749,74815596,74859757,75436345,75724052,75962137,76386186,76551504,76838168,77183545,77204766,77533581,77811992,78104736,78594930,78933469,80374510,81033757,81034083,81504804,81607652,81612694,82539109,83171766,83287405,83432342,83834592,83926270,84122367,84157945,84471577,84483795,85274454,85318105,85836644,86120442,86144749,86442939,86445733,86491702,86675286,87538491,87807320,87867828,87986084,89051413,89228253,89304152,89656189,90116048,90523614,90530905,90922222,91004749,91165237,91398445,91755453,92306533,92438254,92620254,92793070,93763556,94165460,94180952,94313916,95284461,95913902,96209773,96449412,97237909,97744580,98004795,98172694,98300901,98330852,98352601,98783235,98885497,99102926,99480157,99766105,99944886,...,70268580916692112162592655611147893890215468979252669088591362859885507277251426508802025944409641825038634916759098706256922587853978718501968457739695120433200320861262858311737039774778701793457663679840313629233154287635520036889368285919947811909146578483618944972509992783657900563849150534712654523800319996746460787876134499221289908316865267196901421896113379917257969291749830839920769817157960830227579751477002994623601347038263353085286618423437177216606313602725337292379456971390807988198213731055694034039444418822001884607281026512631057040344926852306495306860113186516897033067563070346343894211620747937376853302532099753925196673891421775544997403726986686289042262322895043841953178092217030624169762413658962406996553437002860862681766344962483075558710066339956431239197648946996568625829498362271111704457453747065992750453335379105883541172343858652514371362244364453315931021407036060413867114222040552572602163004072541805600905190779361318847540294747992666664484994857895840871844143360956825458003405018956778109171519685098560383233675607577883012111651290587654731876109781870576568701658642603591034286215838896752650979009773330342379851745676551115858229437328580621921914988228100342565276394097040741797719400048341408069439350621890024616092585959371745118114484696146208848853056051784157473625481210367646171991887112478645454611019513414130258451666026907165096377465093208196364403053128501395297153574442272780749312291846953225034441815376647301033214651247382795475667657567234683296666525265044484139918691707992474277306621484870330326108497452194672493298724589102213370745224063991766243732421215530500409117597195668441366305656809618333963152709131018837634836661850673267184181499194545296535328755745651530714317743337891519606404367412576290249393671050146605620508392970176551826026724412593971031159242864192727031981595878108339734667371409291452469118454747112782220420472280762671216879345390659961971212437726599225152179291070876366756452323530168702738271957057214008535680474893203248486367786247515846218366898381303044486071885976792154299753537106530791206221940104514493233206208468378364908213934976507537809863369339394330241584874383612205355965400380681138810171681354506419430927437240441643368995092145467023428842383927077702734776920147974061184362699983597639795187758366278906179259628739573923681918876789519232533653220236749618529233551193473123609001594041162492918786715288556891871158321851165799372091016632111566891650677705505021037805541180080798177837587334093053941196652605527665996615056765629976361180130580165983079606525048587558837432627715713472397227533825838479875756017027834021016108294990116194506301282951581818556130683095183862663397268181910668500351984053898124774689595507535994817117439602338716663398479010915647303923955713649385583022606507164497136367447983885451197593991787464236614232285029249525267545297782177545091912054674684738733312158743811308765463478824261312133981766737469905551713350201809144215749752745072617449818819625180611413469301909734865053494544873678036095603183355854462451088629581541168545374665235367344469512199651670840673104532109406587947198630400785477966080475784076106262475364885653431710020613486007919948019929056867863633089438423752949343667316290812307217770917471458288515723570707150796089279397130837685684918568280066876821759323554174099323975525393304426691313116717094979469622406968799428322775046801885415911020078551349576234068471301563431865197968968406569445549003096676514056380909079998784355277310278656545897523014365793048916277029420564852782918932567669673655057960941119421584059657600188514008697822712278449095967787127774505323212419934571847608053951824327490960481825086808481213725656999351376846260546353671240100302853051123301235957502011040433644615804510578888325592722757899893732070750502848901158244090218591575963787864119530388697211913579257213882155334839324036515241714295581668641874693588760813006024809231658891354585137110547244352175861257613496401379931668837828371908773170053969755400270958364678192193631794157205673398707647009408403395845680739702203508191364020932160023757881183720054133393890063529002948635995912240541077637160282066911478409742472032053056052232049719004127018364453430315472361420608666392749209764452767733857487195952839887949769901414820837478070669756164285595299032903700201752333838676490786771102289611036125550672832236006653531184669237673788494058289193413990311078203897136615076265330708723816787634783975318385109517040239409705524856942158669660580313423270667140483239861008799512390283045896755151944346687161517565800194525373851731377453820906888884054428691891016211079433892034723574328732345449230134469435568205722063558612316912162468519421494}
30156  448080750228335159301057286244551016811842574611929711723934173946494721952638599161856: {512363,572603,693059,1024658,1114403,1294859,1415123,1567228,1595459,1775723,2015963,2290108,2469266,2652232,2915723,2983761,3134248,3275123,3526029,3813683,4098088,4430433,4610349,4972605,4991786,5008163,5178748,5187059,5274325,5304112,5901923,5967126,6329190,6430058,6751136,6853283,7150163,7342204,7383565,7469512,7534750,7595028,8226309,8276483,8403201,8454059,8749859,8860278,8913448,9041700,9644480,9793225,9875752,10027629,10049003,10520459,10547950,10850040,10932563,11110221,11318728,11573376,11601205,11751870,11814323,12206295,12535328,12657540,12733569,12761128,12870059,13020048,13045763,13101765,13501376,13586858,13921446,13943186,13975216,14102244,14202952,14356269,14448803,14647554,14683432,15068500,15189048,15498059,15722118,15978321,16486643,16518861,16573150,16687228,16788626,16835003,17087679,17357003,18082200,18283403,18916658,19004872,19287680,19552828,19842059,19887780,20130059,20342475,20671238,21165203,21213632,21380481,21394883,21567059,21698640,22255043,22598603,22713059,22860321,23128348,23145216,23394693,23741723,23861906,23865336,24141059,24312083,24410970,24758728,24995459,25166123,25621226,25961603,26038368,26113173,26628765,26848503,27183009,27660923,27850825,27853569,28404016,28507883,28677059,28818141,29129066,29293164,29409323,29530340,29690603,30084059,30877586,31765859,31877723,31954518,32360725,32391004,32604059,32672605,32771483,32894248,33372232,33420990,33944113,34711658,35322549,35385059,35436408,35551283,35649056,36401781,36448658,36878483,37006029,37196965,37209563,37430123,37543761,38036003,38528306,38832870,39207126,39354563,39865959,40057288,40105188,40128765,40996283,41160059,41293106,41421728,41604988,41705459,41868923,42186200,42630803,42790573,42793859,42804016,42956843,43197805,43438629,43704746,44064097,44312243,44420459,44582723,44636358,45064449,45231059,45521205,45608723,45777352,45878243,45932123,46201403,46594093,46599444,46675150,47222843,47383859,47459475,48154518,48164786,48187859,48491590,48506858,48555952,48615923,48990059,49509565,49630523,49790459,50215058,50472669,50623440,51335845,51499521,51837366,52286723,52625661,52815563,52974059,53079683,53132483,53192001,53280746,53389768,53998336,54353965,54625446,54815272,55318058,55605059,55657106,55765288,55818805,55991221,56010180,56128859,56499375,56755465,56951370,58112003,58189908,58580003,58891643,59411478,59669483,59744192,59876603,60051626,60063489,60266000,60748128,61129390,61259605,61580459,61603014,61667181,61672605,61711150,61837859,61983868,62454803,62506163,62735949,62948710,63026509,63378059,63415466,63474573,64078204,64298723,64303912,64777672,64911059,65063963,65224758,65267723,65522243,65784112,65788165,66030683,66183059,66198568,66335363,66436859,66562990,66982566,67045163,67197059,67212216,67233397,67563004,67618888,67799250,68085493,68106558,68106923,68308763,68341644,69100946,69215459,69273700,70119563,70456353,70727950,71179405,72069563,72123333,72319200,72341901,72816323,72874881,73355268,73511526,73561283,73753041,74007126,74053380,74082986,74106443,74304443,74473389,74601203,74711848,74848283,75341843,75538452,75613743,75656488,76071249,76326563,76831405,77063003,77140480,77993243,78141133,78374546,78530483,78851542,78945798,78960712,78969323,78990272,79115459,79321405,79456163,79741150,79875588,80208505,81359100,81817021,82331601,82408333,82649243,82733128,82933765,83128440,83296106,83370083,83466059,83500348,83609963,84050829,84873540,85113549,85121781,85378859,85415286,85521803,85581746,86330459,86472923,86514649,86559146,86752353,86783040,86947283,87210026,87327700,87515459,88320604,88670336,88789643,88830801,88864056,89166059,89635859,90037870,90339059,90382108,90455786,90531776,91471142,91740059,91750058,91928005,92073266,92197686,92298443,92437859,92568576,92577203,92616232,93074769,93364658,93519495,93966683,94495528,94655065,94658723,94754374,95016229,95185686,95211059,95689380,95991563,96047710,96250206,96586859,96952523,97264990,97312552,97363283,97630920,97818923,97866386,98319203,98637059,98773163,98873733,99028501,99452603,99520518,99754128,99972063,...,105402871375038168243888983416721840835323203468879003632887044289828260915877139763203038916614462737557952375138648059385383881780968077752952686609542680649800481291894287467605559662168052690186495519760470443849731431453280055334052428879921717863719867725428417458764989175486850845773725802068981785700479995119691181814201748831934862475297900795352132844170069875886953937624746259881154725736941245341369627215504491935402020557395029627929927635155765824909470404088005938569185457086211982297320596583541051059166628233002826910921539768946585560517390278459742960290169779775345549601344605519515841317431121906065279953798149630887795010837132663317496105590480029433563393484342565762929767138325545936254643620488443610494830155504291294022649517443724613338065099509934646858796473420494852938744247543406667556686180620598989125680003068658825311758515787978771557043366546679973896532110554090620800671333060828858903244506108812708401357786169041978271310442121988999996727492286843761307766215041435238187005107528435167163757279527647840574850513411366824518167476935881482097814164672805864853052487963905386551429323758345128976468514659995513569777618514826673787344155992870932882872482342150513847914591145561112696579100072512112104159025932835036924138878939057617677171727044219313273279584077676236210438221815551469257987830668717968181916529270121195387677499040360747644566197639812294546604579692752092945730361663409171123968437770429837551662723064970951549821976871074193213501486350852024944999787897566726209878037561988711415959932227305495489162746178292008739948086883653320056117836095987649365598631823295750613676395793502662049458485214427500944729063696528256452254992776009900776272248791817944802993133618477296071476615006837279409606551118864435374090506575219908430762589455264827739040086618890956546738864296289090547972393817162509602001057113937178703677682120669173330630708421144006825319018085989942956818656589898837728268936606314550134678485295253054107407935585821012803520712339804872729551679371273769327550347571954566729107828965188231449630305659796186809332910156771739849809312702567547362320902464761306714795054009091495362377311575418308033948100571021708215257522031759629146391155860662465053492638218200535143263575890616554102165380221961091776544049975396459692781637549418359268889443109360885522878315184278848800479830355124427793850326790209685413502391061743739378180072932835337806737482776748699058136524948167350337476016558257531556708311770121197266756381001139580911794978908291498994922585148444964541770195870248974619409787572881338256148941573570208595841300738757719813634025541751031524162442485174291759451924427372727834196024642775793995095902272866002750527976080847187162034393261303992225676159403508074995097718516373470955885933570474078374533909760746745704551171975828176796390987681196354921348427543874287901317946673266317637868082012027108099968238115716963148195218236391968200972650106204858327570025302713716323624629117608926174728229437770917120203952864602297580241817310517054143404775033781693676632944372311752818061997853051016704268299477506261009656798164109881920797945601178216949120713676114159393713047328480147565030920229011879922029893585301795449634157635629424015500974436218460826656376207187432773585356060726194133919095696256528527377852420100315232638985331261148985963288089956640036969675075642469204433610453199142484162570202828123866530117827024364351102706952345147797796953452609854168323504645014771084571363619998176532915965417984818846284521548689573374415544130847279174378398851504510482586941411679132376089486400282771013046734068417673643951680691661757984818629901857771412080927736491236440722737630212721820588485499027065269390819530506860150454279576684951853936253016560650466923706765868332488389084136849840598106125754273351737366135327887363945681796179295583045817870368885820823233002258986054772862571443372502962812040383141219509037213847488337031877705665820866528263791886420244602069897503256742557863159755080954633100406437547017288290447691235808510098061470514112605093768521109553305262287046031398240035636821775580081200090835095293504422953993868360811616455740423100367217614613708048079584078348074578506190527546680145473208542130912999589123814646679151600786230793929259831924654852122231256217106004634246428392948549355550302628500758014736180156653434416554188326009248354009980296777003856510682741087433790120985466617305845704922614397996063085725181452175962977577664275560359114558287285413238004490870470134906000710724859791513199268585424568845132727916520030742276348700291788060777597066180731360333326081643037836524316619150838052085361493098518173845201704153352308583095337918475368243702779132241}
30157  449470245928595742257853280274739913982458912270031098293069570687416033001798300712033: {1536987,1959035,2320703,2350842,2742467,2862635,3315290,3435162,3585827,3703899,3917810,3978348,4309019,4641098,4701372,5122610,5907244,6147132,6473435,6535823,6630140,7292186,7487679,7768122,7799267,7956168,8438920,8641283,8950689,9177755,9336890,9493785,9645087,9903887,10126704,10872959,10968412,11013306,11141810,11165987,11204268,11302125,11392542,11813704,12055600,12135539,12228314,12254363,12344690,12427583,12848003,13290417,13370172,13562550,14148410,14238719,14466720,14813628,15431168,15669160,15821925,15867443,15951410,16044899,16275060,16590059,16629263,16876720,16978092,17360064,17469020,17627805,17753690,18011162,18354290,18389267,18561928,18802992,18835625,18934787,18986310,19141692,19456874,19530072,20252064,20380287,20537066,20732699,20859035,20882169,20914779,20962824,21153366,21304428,21463439,21663887,21971331,22000907,22025148,22602750,22705202,22783572,23445563,23583177,23756090,24109600,24441035,24853514,24859725,25030842,25182939,25612547,26318762,26517040,26871263,27057203,27123300,27152906,28374987,28507308,28537379,28782467,28910435,28931520,29200703,29329242,29687474,29759999,29831670,30480428,30860288,30948410,31006857,31120298,31192924,31820448,31855322,32287643,32547960,34512083,34692522,34717824,34817564,35050127,35086106,35505020,35792859,35798004,36244012,36616455,36912925,37138092,37453514,37889267,38280383,38424188,38431839,39057552,40055183,40157402,40488755,41117810,41462642,41715290,41955218,42486458,42606024,43693599,43939746,44295510,44561320,45118559,46316379,46716047,47096732,47248544,47931777,47963363,48085418,48294026,48535708,48586506,48794627,49341372,50058348,50071610,50131485,50623154,51112139,51777160,51791003,52006235,52067487,52276168,52732750,53154612,53473584,53505020,53738954,53759519,54672987,55511066,55601279,56265923,56680463,56751626,57221690,57561098,57792459,57918172,57923747,58249305,58810689,59166527,59515144,59516042,60085932,60157782,60694940,61939659,62132592,62190059,62407482,62432543,63279300,64120298,64206024,64570994,64798067,64867322,65372867,65553983,65557119,66199427,66737210,66954537,67296892,67497920,67843163,68501738,68519090,68666028,69090623,69116488,69706610,69899166,70012725,70167548,70922668,72231777,72247179,72391487,72416543,72737385,72760287,72833928,73585103,74680240,75322587,75332500,75360923,75935160,76694267,76981763,77479835,77586544,77756049,79215304,79921119,80024627,80084652,80097755,80379890,80738474,80972090,80997504,81039203,81156947,81938169,82137352,82222908,82230140,82683587,82748210,82977087,83485659,83647932,84015270,84379226,84453755,84523610,84632764,84898859,85148483,85427055,86497466,86565407,86592125,86740979,86966344,87284862,88225202,88285067,89117217,89310088,89616288,90072227,90077439,90297203,90399000,90808744,91122192,91694085,92183843,92404521,92566725,92963519,92975802,93389810,93941804,94423065,94570610,95088938,95123199,96117306,96164444,96425600,96455868,97033727,97166508,97807024,97837137,98015368,98256107,98337388,98676168,98700890,98737840,98813306,99297852,99486863,99844485,...,140537161833384224325185311222295787780430937958505338177182725719771014554502853017604051888819283650077269833518197412513845175707957437003936915479390240866400641722525716623474079549557403586915327359680627258466308575271040073778736571839895623818293156967237889945019985567315801127698301069425309047600639993492921575752268998442579816633730534393802843792226759834515938583499661679841539634315921660455159502954005989247202694076526706170573236846874354433212627205450674584758913942781615976396427462111388068078888837644003769214562053025262114080689853704612990613720226373033794066135126140692687788423241495874753706605064199507850393347782843551089994807453973372578084524645790087683906356184434061248339524827317924813993106874005721725363532689924966151117420132679912862478395297893993137251658996724542223408914907494131985500906670758211767082344687717305028742724488728906631862042814072120827734228444081105145204326008145083611201810381558722637695080589495985333328969989715791681743688286721913650916006810037913556218343039370197120766467351215155766024223302581175309463752219563741153137403317285207182068572431677793505301958019546660684759703491353102231716458874657161243843829976456200685130552788194081483595438800096682816138878701243780049232185171918743490236228969392292417697706112103568314947250962420735292343983774224957290909222039026828260516903332053814330192754930186416392728806106257002790594307148884545561498624583693906450068883630753294602066429302494765590951335315134469366593333050530088968279837383415984948554613242969740660652216994904389344986597449178204426741490448127983532487464842431061000818235194391336882732611313619236667926305418262037675269673323701346534368362998389090593070657511491303061428635486675783039212808734825152580498787342100293211241016785940353103652053448825187942062318485728385454063963191756216679469334742818582904938236909494225564440840944561525342433758690781319923942424875453198450304358582141752733512904647060337405476543914114428017071360949786406496972735572495031692436733796762606088972143771953584308599507074213061582412443880209028986466412416936756729816427869953015075619726738678788660483169748767224410711930800761362277620343362709012838861854874480883286737990184290934046857684767854155405469553840295948122368725399967195279590375516732557812358519257479147847363837753579038465067306440473499237058467102386946247218003188082324985837573430577113783742316643702331598744182033264223133783301355411010042075611082360161596355675174668186107882393305211055331993230113531259952722360261160331966159213050097175117674865255431426944794455067651676959751512034055668042032216589980232389012602565903163637112261366190367725326794536363821337000703968107796249549379191015071989634234879204677433326796958021831294607847911427298771166045213014328994272734895967770902395187983574928473228464570058499050535090595564355090183824109349369477466624317487622617530926957648522624267963533474939811103426700403618288431499505490145234899637639250361222826938603819469730106989089747356072191206366711708924902177259163082337090749330470734688939024399303341681346209064218813175894397260801570955932160951568152212524950729771306863420041226972015839896039858113735727266178876847505898687334632581624614435541834942916577031447141414301592178558794261675371369837136560133753643518647108348198647951050786608853382626233434189958939244813937598856645550093603770831822040157102699152468136942603126863730395937936813138891098006193353028112761818159997568710554620557313091795046028731586097832554058841129705565837865135339347310115921882238843168119315200377028017395645424556898191935574255549010646424839869143695216107903648654981920963650173616962427451313998702753692521092707342480200605706102246602471915004022080867289231609021157776651185445515799787464141501005697802316488180437183151927575728239060777394423827158514427764310669678648073030483428591163337283749387177521626012049618463317782709170274221094488704351722515226992802759863337675656743817546340107939510800541916729356384387263588314411346797415294018816806791691361479404407016382728041864320047515762367440108266787780127058005897271991824481082155274320564133822956819484944064106112104464099438008254036728906860630944722841217332785498419528905535467714974391905679775899539802829641674956141339512328571190598065807400403504667677352981573542204579222072251101345664472013307062369338475347576988116578386827980622156407794273230152530661417447633575269567950636770219034080478819411049713884317339321160626846541334280966479722017599024780566091793510303888693374323035131600389050747703462754907641813777768108857383782032422158867784069447148657464690898460268938871136411444127117224633824324937038842988}
30158  450864025395221244611884634821593541641867732520342372196620864312253834410975874296737: {572641,1024726,1145206,1386118,1835917,2016097,2049316,2228806,2589718,2830246,3134456,3190918,3526263,3551446,4031926,4580216,4938532,4972935,5152743,5304464,5831446,5876715,5961841,5967522,6268496,6318817,6550246,6961647,7052058,7209997,7384055,7627366,7683915,8196176,8277037,8287675,8860866,9164257,9220698,9945210,9983572,10016326,10336991,10357496,10374118,10548650,10608224,10938279,11652183,11803846,11815117,11934252,12658380,12860116,13502272,13706566,13710515,14005335,14300326,14449777,14684408,14767130,14939024,15069500,15190056,16197217,16241687,16452618,16519959,16552966,16712715,16806402,16894177,16908118,17068237,17088813,17499718,17720556,17826896,18083400,18342471,18517035,18631537,19288960,19586450,19751504,20055258,20098006,20343825,21040918,21095900,21222615,21700080,21836275,21865126,22220442,22256557,22600141,22637456,23146752,23202410,23503740,23628646,23800417,23927115,24412590,25070656,25315080,25467138,25522256,25740118,26040096,26091526,26203530,26530657,26630535,27002752,27016743,27173716,27380077,27531435,27842892,27886372,27950432,28204488,28227697,28405904,28479465,28712538,28897606,28904497,29185311,29295108,29366864,29748877,30137000,30378096,30805599,30996118,31444236,31730049,31956642,32973286,33037722,33146300,33374456,33577252,33670006,33904125,34057803,34175358,34714006,35609137,35634135,35775277,36107341,36164400,36566806,36936241,37267297,37280271,37546263,37833316,38009744,38093677,38100535,38575360,38991155,39105656,39478143,39684118,39775560,40233841,40260118,40684950,40729359,41053741,41342476,41544817,42198577,42330406,42427264,42688141,42760962,42789766,43134118,43397280,43521955,43827937,43993863,44381275,44510086,44531211,44747505,44802097,45126241,45197206,45305015,45426118,45720642,45741647,45935341,46256696,46258477,46290432,46422615,46680447,46789386,47483446,47723812,47730672,47782983,48030235,48282118,48624166,48821940,49517456,49634017,49990918,50332246,51242452,51923206,52038783,52075751,52076736,52226346,52629159,52660717,53136241,53257530,53697006,54366018,55321846,55701650,55707138,56180271,56808032,57015766,57354118,57636282,58258132,58586328,58636141,58818646,58870915,59060680,59381206,59725537,60168118,60236103,60476927,60501517,60669635,61676715,61755172,61954783,62193963,62510641,62572935,62932827,63531718,63729687,63755446,63909036,64354417,64721450,64782008,65119597,65208118,65345210,65542966,65788496,65909619,66171443,66443265,66744464,66841980,66881275,67888226,68313697,69313391,69423316,70645098,70770118,70872816,71102566,71298112,71870183,72074797,72128127,72397715,72441039,72803562,72879759,72897316,73417777,73566637,73756966,74012058,74393930,74419126,74860246,74903137,75087522,75107415,75347341,75868675,75934731,76072006,76095551,76381297,76528717,77056612,77665740,78146327,78414252,78709126,78731377,79099125,79457651,79461997,79731918,80114576,80210376,80257530,80608431,81992566,82320118,82586212,82655341,82843456,83088097,83209976,83266599,83410918,83737846,83804479,84121115,84372400,85127439,85261606,85581146,85587718,85608032,85763447,85832535,85913686,86341647,86395610,86877258,87409492,87709435,88128194,88624486,88653335,88840918,89078641,89165446,89272716,89274063,90128898,90236673,90462118,91042410,91217446,91554704,91756486,91864246,92103431,92305357,92402806,93188186,93198888,93350300,93557617,93611223,93696397,94165625,94445686,94767718,94918950,95729227,96180447,96309036,96329572,96375718,96692843,96856491,96983180,97013716,97111904,97231846,97300983,97980118,98099341,98508337,99019130,99261046,99580918,99651167,...,210805742750076336487777966833443681670646406937758007265774088579656521831754279526406077833228925475115904750277296118770767763561936155505905373219085361299600962583788574935211119324336105380372991039520940887699462862906560110668104857759843435727439735450856834917529978350973701691547451604137963571400959990239382363628403497663869724950595801590704265688340139751773907875249492519762309451473882490682739254431008983870804041114790059255859855270311531649818940808176011877138370914172423964594641193167082102118333256466005653821843079537893171121034780556919485920580339559550691099202689211039031682634862243812130559907596299261775590021674265326634992211180960058867126786968685131525859534276651091872509287240976887220989660311008582588045299034887449226676130199019869293717592946840989705877488495086813335113372361241197978251360006137317650623517031575957543114086733093359947793064221108181241601342666121657717806489012217625416802715572338083956542620884243977999993454984573687522615532430082870476374010215056870334327514559055295681149701026822733649036334953871762964195628329345611729706104975927810773102858647516690257952937029319991027139555237029653347574688311985741865765744964684301027695829182291122225393158200145024224208318051865670073848277757878115235354343454088438626546559168155352472420876443631102938515975661337435936363833058540242390775354998080721495289132395279624589093209159385504185891460723326818342247936875540859675103325446129941903099643953742148386427002972701704049889999575795133452419756075123977422831919864454610990978325492356584017479896173767306640112235672191975298731197263646591501227352791587005324098916970428855001889458127393056512904509985552019801552544497583635889605986267236954592142953230013674558819213102237728870748181013150439816861525178910529655478080173237781913093477728592578181095944787634325019204002114227874357407355364241338346661261416842288013650638036171979885913637313179797675456537873212629100269356970590506108214815871171642025607041424679609745459103358742547538655100695143909133458215657930376462899260611319592373618665820313543479699618625405135094724641804929522613429590108018182990724754623150836616067896201142043416430515044063519258292782311721324930106985276436401070286527151781233108204330760443922183553088099950792919385563275098836718537778886218721771045756630368557697600959660710248855587700653580419370827004782123487478756360145865670675613474965553497398116273049896334700674952033116515063113416623540242394533512762002279161823589957816582997989845170296889929083540391740497949238819575145762676512297883147140417191682601477515439627268051083502063048324884970348583518903848854745455668392049285551587990191804545732005501055952161694374324068786522607984451352318807016149990195437032746941911771867140948156749067819521493491409102343951656353592781975362392709842696855087748575802635893346532635275736164024054216199936476231433926296390436472783936401945300212409716655140050605427432647249258235217852349456458875541834240407905729204595160483634621034108286809550067563387353265888744623505636123995706102033408536598955012522019313596328219763841595891202356433898241427352228318787426094656960295130061840458023759844059787170603590899268315271258848031001948872436921653312752414374865547170712121452388267838191392513057054755704840200630465277970662522297971926576179913280073939350151284938408867220906398284968325140405656247733060235654048728702205413904690295595593906905219708336647009290029542169142727239996353065831930835969637692569043097379146748831088261694558348756797703009020965173882823358264752178972800565542026093468136835347287903361383323515969637259803715542824161855472982472881445475260425443641176970998054130538781639061013720300908559153369903707872506033121300933847413531736664976778168273699681196212251508546703474732270655774727891363592358591166091635740737771641646466004517972109545725142886745005925624080766282439018074427694976674063755411331641733056527583772840489204139795006513485115726319510161909266200812875094034576580895382471617020196122941028225210187537042219106610524574092062796480071273643551160162400181670190587008845907987736721623232911480846200734435229227416096159168156696149157012381055093360290946417084261825999178247629293358303201572461587858519663849309704244462512434212009268492856785897098711100605257001516029472360313306868833108376652018496708019960593554007713021365482174867580241970933234611691409845228795992126171450362904351925955155328551120718229116574570826476008981740940269812001421449719583026398537170849137690265455833040061484552697400583576121555194132361462720666652163286075673048633238301676104170722986197036347690403408306704617166190675836950736487405558264482}
30159  452262101758067426401510177082700759296011151591219168031611464800552583383650110019156: {1537089,1717809,2079177,2561645,2742649,3073974,3343209,3646577,3884577,3918070,4007689,4245369,4641406,4701684,4786377,5092477,5327169,5484934,5725270,6047889,6173165,6630580,6870324,7171654,7407798,7835620,7956696,8618038,8747169,8951283,9062809,9282196,9402744,9607961,9825369,10245220,10578087,11441049,11776529,11814488,12294264,12479465,12848857,12946870,13071646,13260280,13291299,13831047,14482429,14584372,14845709,14917815,14975358,15024489,15536244,15561177,15598534,15822975,15912336,15929777,16075145,16827577,16877840,17282566,17705769,17734201,17901378,18355510,18673780,18836875,18987570,19290174,19527761,19807774,20253408,20559849,21162409,21450489,21745918,21936824,22026612,22150695,22283620,22331974,22408536,22604250,22785084,23627408,24111200,24271078,24456628,24508726,24589249,24678927,24689380,24829449,24855166,25209603,25362177,25696006,26249577,26369875,26580834,26740344,27110189,27125100,28296820,28477438,28923217,28933440,29202649,29379675,29427761,29627256,30082887,30147009,30862336,31338320,31561377,31643850,31734886,31902820,32089798,32526209,32550120,32797689,33180118,33258526,33330663,33382217,33753440,33956184,33967145,34217449,34514377,34720128,34803615,34857965,34938040,35255610,35442969,35507380,35775821,36022324,36295697,36618885,36708580,36778534,37123856,37605984,37671250,37869574,37972620,38200707,38283384,38610177,38913748,39060144,39137289,39305295,40474609,40504128,40760574,41074132,41432875,41465398,41718070,41764338,41829558,41925648,41971565,42306732,42413249,42608856,42926878,43068807,43327774,43346409,43942662,44001814,44050296,45205500,45226577,45410404,45567144,46494177,46891126,47166354,47291645,47512180,47934963,48219200,48882070,49459929,49556583,49707028,49719450,50061684,50365878,50505009,51225094,51263037,51451481,51678095,52071009,52637524,53034080,53742526,54114406,54246600,54305812,54850209,56684257,56749974,57014616,57074758,57564934,57685709,57820870,57863040,57946817,58401406,58658484,59374948,59519998,59526177,59654765,59663340,60390177,60960856,61027425,61207549,61506209,61720576,61891481,61896820,62013714,62240596,62385848,63495609,63533977,63640896,63710644,64053065,64141443,64184649,64575286,64701177,65095920,66765129,66834497,67795809,68139177,68580963,69024166,69385044,69435648,69635128,70100254,70172212,70184079,71010040,71225169,71585718,71596008,72323129,72421369,72423177,72488024,72712721,72808729,72822665,72936249,73232910,73825850,73901369,74276184,74712737,74876969,74907028,74986377,75498369,75778534,76560766,76848376,76863678,77193965,77472889,77884809,78115104,78339519,79886295,80110366,80314804,80545509,80977510,81549027,82235620,82925284,82982769,83430580,83552475,83560707,83910436,84972916,85212048,85523649,86031177,86038441,86454423,86779145,87387198,87466817,87879492,87954941,88227969,88411961,88591020,89062909,89071809,89122640,89439289,90237118,90252177,91121645,92318897,92632758,93432094,93956969,94193464,94497088,95297577,95633169,95863554,95926726,96170836,96320765,96588052,97071416,97082175,97173012,97589254,97812177,98017815,98314449,98682744,...,316208614125114504731666950250165522505969610406637010898661132869484782747631419289609116749843388212673857125415944178156151645342904233258858059828628041949401443875682862402816678986504158070559486559281411331549194294359840166002157286639765153591159603176285252376294967526460552537321177406206945357101439985359073545442605246495804587425893702386056398532510209627660861812874238779643464177210823736024108881646513475806206061672185088883789782905467297474728411212264017815707556371258635946891961789750623153177499884699008480732764619306839756681552170835379228880870509339326036648804033816558547523952293365718195839861394448892663385032511397989952488316771440088300690180453027697288789301414976637808763930861465330831484490466512873882067948552331173840014195298529803940576389420261484558816232742630220002670058541861796967377040009205976475935275547363936314671130099640039921689596331662271862402013999182486576709733518326438125204073358507125934813931326365966999990182476860531283923298645124305714561015322585305501491271838582943521724551540234100473554502430807644446293442494018417594559157463891716159654287971275035386929405543979986540709332855544480021362032467978612798648617447026451541543743773436683338089737300217536336312477077798505110772416636817172853031515181132657939819838752233028708631314665446654407773963492006153904545749587810363586163032497121082242933698592919436883639813739078256278837191084990227513371905313311289512654988169194912854649465930613222579640504459052556074834999363692700178629634112685966134247879796681916486467488238534876026219844260650959960168353508287962948096795895469887251841029187380507986148375455643282502834187191089584769356764978328029702328816746375453834408979400855431888214429845020511838228819653356593306122271519725659725292287768365794483217120259856672869640216592888867271643917181451487528806003171341811536111033046362007519991892125263432020475957054257969828870455969769696513184806809818943650404035455885759162322223806757463038410562137019414618188655038113821307982651042715863700187323486895564694348890916979388560427998730470315219549427938107702642086962707394283920144385162027274486087131934726254924101844301713065124645772566095278887439173467581987395160477914654601605429790727671849662306496140665883275329632149926189379078344912648255077806668329328082656568634945552836546401439491065373283381550980370629056240507173185231218134540218798506013420212448330246097174409574844502051012428049674772594670124935310363591800269143003418742735384936724874496984767755445334893625310587610746923858229362718644014768446824720710625787523902216273159440902076625253094572487327455522875278355773282118183502588073928327381985287706818598008251583928242541561486103179783911976677028478210524224985293155549120412867657800711422235123601729282240237113653515927484530389172963043589064764045282631622863703953840019798952913604246036081324299904714347150889444585654709175904602917950318614574982710075908141148970873887352826778524184688313312751360611858593806892740725451931551162430214325101345081029898833116935258454185993559153050112804898432518783028970394492329645762393836803534650847362141028342478181139141985440442695092760687035639766089680755905386348902472906888272046502923308655382479969128621562298320756068182178582401757287088769585582133557260300945697916955993783446957889864269869920110909025226927407613300831359597427452487710608484371599590353481073093053308120857035443393390860357829562504970513935044313253714090859994529598747896253954456538853564646068720123246632392541837523135196554513531447760824235037397128268459200848313039140202205253020931855042074985273954455889705573314236242783209473709322168212890638165461765456497081195808172458591520580451362838730054855561808759049681951400771120297604997465167252410549521794318377262820055212098405983662091837045388537886749137453611106657462469699006776958164318587714330117508888436121149423658527111641542465011095633116997462599584791375659260733806209692509770227673589479265242863899301219312641051864871343073707425530294184411542337815281305563328659915786861138094194720106910465326740243600272505285880513268861981605082434849367221269301101652843841124144238752235044223735518571582640040436419625626392738998767371443940037454802358692381787779495773964556366693768651318013902739285178845648066650907885502274044208540469960303249662564978027745062029940890331011569532048223262301370362956399851917537114767843193988189257175544356527888932732992826681077343674861856239714013472611410404718002132174579374539597805756273706535398183749560092226829046100875364182332791198542194080999978244929113509572949857452514156256084479295554521535605112460056925749286013755426104731108337396723}
30160  453664488186999054837585945982353658432339350262185941871100651137334520560139965442618: {693151,1145282,1234879,1415311,2049452,2136319,2290412,2676319,2772236,3035959,3395311,3671834,3933799,4032194,4098632,4457612,4471639,4610961,5179436,5660492,5877105,6268912,6381836,6962109,6972991,7052526,7102892,7151119,8063852,8227401,8288225,8395999,8587905,8751031,9160432,9794525,9877064,9945870,10305486,10337677,10608928,10757481,11111697,11602745,11662892,11753430,11923682,11933359,11935044,12461479,12536992,12637634,12806525,12927057,13100492,13164631,13923294,14104116,14419994,14567479,14768110,15254732,15367830,16392352,16554074,16575350,17359351,17533231,17721732,18230465,18328514,18441396,19194721,19420305,19441159,19607469,19890420,19959991,19967144,20032652,20673982,20714992,20748236,21097300,21216448,21876558,22372639,22463037,22716151,23304366,23342225,23397801,23402311,23607692,23630234,23868504,24087319,24258391,25112671,25283311,25316760,25720232,25923849,26852067,27004544,27155599,27413132,27421030,27533265,27834271,27854525,28010670,28481355,28600652,28899554,28935261,29368816,29525911,29534260,29711661,29878048,30031999,30139000,30380112,30570785,30861725,31882111,32394434,32483374,32618877,32905236,33039918,33105932,33389359,33425430,33497961,33612804,33788354,33816236,33906375,34136474,34177626,34224199,34999436,35371025,35441112,35653792,36166800,36386359,36406617,36684942,36763089,37034070,37214719,37263074,37282749,37545559,38544009,38577920,39172900,39360031,39503008,39871251,39878525,40110516,40196012,40510159,40687650,42081836,42191800,42445230,42716157,42962839,43288639,43400160,43672550,43730252,44384225,44426671,44440884,44513114,45027905,45200282,45274912,45722959,45885725,46046311,46207879,46293504,46404820,47007480,47257292,47465775,47497831,47600834,47602329,47854230,48134697,48301711,48642185,48825180,48943519,49770177,49887789,50141312,50630160,50934276,51044512,51340039,51342665,51480236,52080192,52183052,52407060,52883415,52928719,53061314,53087191,53261070,53340749,54005504,54033486,54347432,54510199,54587617,54760154,54983239,55062870,55167801,55685784,55770199,55772744,55900864,56241511,56408976,56455394,56506875,56763005,56804361,56811808,56958930,57425076,57795212,57808994,57964111,58370622,58590216,58733728,59390225,59497754,59677999,59988679,60274000,60756192,60930737,61140861,61611198,61692271,61846711,61992236,62133785,62198097,62577105,62617831,62646507,62744337,62888472,63233431,63427021,63460098,63913284,64307959,64390317,64920391,64991661,65378959,65531671,65796905,65913993,65946572,66002721,66075444,66141799,66292600,66446431,66748912,66902839,67054831,67154504,67206751,67242329,67340012,67808250,67882265,68115606,68116759,68350716,69243581,69428012,70230031,70336689,70380439,70749531,71131399,71218274,71268270,71550554,71880559,72179719,72214682,72328800,72478591,73133612,73219289,73323105,73872482,74218685,74414239,74534594,74560542,74579175,74859199,75092526,75451471,75548817,75666632,76019488,76187354,76201070,76837641,77150720,77371025,77800745,77982310,78102439,78211312,78541999,78956286,79368236,79551120,79638305,80467682,80520236,80584711,80613789,80730079,81171609,81369900,81458718,82107482,82419281,82684952,83089634,83478391,84397154,84660812,84854528,84937489,85124961,85376282,85486831,85521924,85579532,85612137,86268236,86347401,86485759,86731305,86794560,87043910,87602109,87623071,87655874,87715265,87987726,88614439,88762550,89020172,89062422,89279997,89495010,89604194,89743111,90024559,90252482,90394412,90610030,90852236,91441284,91483294,91870682,92126239,92405239,92513392,92516954,92544631,92580864,92845230,93020571,93101479,93360894,93578772,93633785,93934591,94073191,94966892,95447624,95461344,95565966,96060470,96564236,96862929,96967159,97241119,97248332,97643880,97924759,99034912,99041657,99268034,99286639,99422431,99981836,...,421611485500152672975555933666887363341292813875516014531548177159313043663508559052812155666457850950231809500554592237541535527123872311011810746438170722599201925167577149870422238648672210760745982079041881775398925725813120221336209715519686871454879470901713669835059956701947403383094903208275927142801919980478764727256806995327739449901191603181408531376680279503547815750498985039524618902947764981365478508862017967741608082229580118511719710540623063299637881616352023754276741828344847929189282386334164204236666512932011307643686159075786342242069561113838971841160679119101382198405378422078063365269724487624261119815192598523551180043348530653269984422361920117734253573937370263051719068553302183745018574481953774441979320622017165176090598069774898453352260398039738587435185893681979411754976990173626670226744722482395956502720012274635301247034063151915086228173466186719895586128442216362483202685332243315435612978024435250833605431144676167913085241768487955999986909969147375045231064860165740952748020430113740668655029118110591362299402053645467298072669907743525928391256658691223459412209951855621546205717295033380515905874058639982054279110474059306695149376623971483731531489929368602055391658364582244450786316400290048448416636103731340147696555515756230470708686908176877253093118336310704944841752887262205877031951322674871872727666117080484781550709996161442990578264790559249178186418318771008371782921446653636684495873751081719350206650892259883806199287907484296772854005945403408099779999151590266904839512150247954845663839728909221981956650984713168034959792347534613280224471344383950597462394527293183002454705583174010648197833940857710003778916254786113025809019971104039603105088995167271779211972534473909184285906460027349117638426204475457741496362026300879633723050357821059310956160346475563826186955457185156362191889575268650038408004228455748714814710728482676693322522833684576027301276072343959771827274626359595350913075746425258200538713941181012216429631742343284051214082849359219490918206717485095077310201390287818266916431315860752925798521222639184747237331640627086959399237250810270189449283609859045226859180216036365981449509246301673232135792402284086832861030088127038516585564623442649860213970552872802140573054303562466216408661520887844367106176199901585838771126550197673437075557772437443542091513260737115395201919321420497711175401307160838741654009564246974957512720291731341351226949931106994796232546099792669401349904066233030126226833247080484789067025524004558323647179915633165995979690340593779858167080783480995898477639150291525353024595766294280834383365202955030879254536102167004126096649769940697167037807697709490911336784098571103175980383609091464011002111904323388748648137573045215968902704637614032299980390874065493883823543734281896313498135639042986982818204687903312707185563950724785419685393710175497151605271786693065270551472328048108432399872952462867852592780872945567872803890600424819433310280101210854865294498516470435704698912917751083668480815811458409190320967269242068216573619100135126774706531777489247011272247991412204066817073197910025044038627192656439527683191782404712867796482854704456637574852189313920590260123680916047519688119574341207181798536630542517696062003897744873843306625504828749731094341424242904776535676382785026114109511409680401260930555941325044595943853152359826560147878700302569876817734441812796569936650280811312495466120471308097457404410827809380591191187813810439416673294018580059084338285454479992706131663861671939275385138086194758293497662176523389116697513595406018041930347765646716529504357945601131084052186936273670694575806722766647031939274519607431085648323710945964945762890950520850887282353941996108261077563278122027440601817118306739807415745012066242601867694827063473329953556336547399362392424503017093406949464541311549455782727184717182332183271481475543283292932009035944219091450285773490011851248161532564878036148855389953348127510822663283466113055167545680978408279590013026970231452639020323818532401625750188069153161790764943234040392245882056450420375074084438213221049148184125592960142547287102320324800363340381174017691815975473443246465822961692401468870458454832192318336313392298314024762110186720581892834168523651998356495258586716606403144923175717039327698619408488925024868424018536985713571794197422201210514003032058944720626613737666216753304036993416039921187108015426042730964349735160483941866469223382819690457591984252342900725808703851910310657102241436458233149141652952017963481880539624002842899439166052797074341698275380530911666080122969105394801167152243110388264722925441333304326572151346097266476603352208341445972394072695380806816613409234332381351673901472974811116528964}
30161  455071197892011108410928776850023477752413747143162441790276780248066736242561232414505: {30161,1717923,2561815,2863015,3074178,3435618,3465295,3586303,3646819,4158354,4309591,5123290,5485298,5507751,5572015,5634871,6048291,6147948,6474295,6686418,7075615,7293154,7769154,7836140,7977295,8015378,8490738,8642431,8878615,9282812,9403368,9572754,10079815,10184954,10270579,10578789,10654338,10969868,11354863,11450540,12095778,12255991,12346330,13162003,13261160,13579159,13740648,14343308,14578615,14815596,14918805,15458229,15563251,15671240,15869551,15913392,16375615,16592263,17236076,17471251,17494338,17546551,17630145,17885523,17902566,18125618,18564392,18805488,18956451,19068415,19215922,19529059,19650738,20082703,20189719,20490440,20884941,20981791,21156174,21629991,22152165,22505203,22882098,23051745,23078263,23553058,23628976,24047503,24588528,24831111,24863025,24958930,25040815,25316623,25697714,25893740,25935295,26131699,26143292,26371625,26520560,26582598,27111991,27492771,27662094,28381471,28964858,29168744,29509615,29691418,29835630,29950716,30048978,30299623,31010973,31072488,31122354,31197068,31645950,31824672,31859554,32150290,32528371,32814837,33655154,33755680,34043251,34266415,34565132,34778263,34956549,35411538,35445351,35468402,35750815,35778199,35802756,36711020,36917825,37318111,37347560,37520983,37673750,37975140,38243119,38580348,39055522,39451711,39615548,40506816,40565779,41119698,41131545,41382415,42016005,42270295,42324818,42900978,43349331,43491836,43749295,43873648,44053224,44301390,44567240,44663948,44817072,45208500,45229591,45570168,45886819,46339411,47254816,47403043,47554003,48222400,48542156,48591651,48725061,48801151,48913256,48966125,49017452,49178498,49357854,49378760,49547503,49559877,49658898,49710332,50138145,50245015,50419206,50682531,50724354,51204711,51266439,51392012,52499154,52602295,52739750,53161668,53195599,53449591,53480688,54220378,54250200,54617203,54662815,54999859,55027413,55078771,55551105,55894611,56593640,56954876,57846434,57866880,58006025,58405298,58759350,58760191,58855522,58969231,59071615,59254512,60165774,60294018,60773491,61031475,61724672,62676640,62943859,63122754,63287700,63469772,63634903,63667845,63805640,64179596,64350295,64472263,65052418,65100240,65228815,65508825,65595378,66159859,66208303,66360236,66517052,66661326,66764434,66769671,66838951,67506880,67800423,67912368,67934290,68434898,69028754,69440256,69607230,69715930,69876080,70511220,70885938,71014760,71401251,71551642,71781345,72044648,72244015,72349333,72591394,73237770,73410931,73417160,73557068,74247712,74697379,75177559,75211968,75282703,75342500,75370999,75739148,75945240,76259683,76401414,76566768,76677271,77220354,77310931,77490295,77827496,78120288,78274578,78610590,79591971,79891605,80949218,81008256,81050229,81521148,82140231,82148264,82433215,82594305,82865750,82930796,83436140,83516671,83528676,83659116,83851296,83943130,84175015,84613464,84683091,84826498,85217712,85438395,85853756,86137614,86655548,86692818,86713491,86785015,87555933,87662131,87885324,88003628,88100592,88296871,88417879,89069299,89246631,89674291,89696623,89930671,90411000,90453154,90820808,91023031,91134288,91417015,91733491,92416797,92975971,92988354,93782252,94020799,94332708,94583290,94618003,95024360,95190147,95869926,96438400,97141951,97764140,98919858,99113166,99210295,99414056,99438900,...,632417228250229009463333900500331045011939220813274021797322265738969565495262838579218233499686776425347714250831888356312303290685808466517716119657256083898802887751365724805633357973008316141118973118562822663098388588719680332004314573279530307182319206352570504752589935052921105074642354812413890714202879970718147090885210492991609174851787404772112797065020419255321723625748477559286928354421647472048217763293026951612412123344370177767579565810934594949456822424528035631415112742517271893783923579501246306354999769398016961465529238613679513363104341670758457761741018678652073297608067633117095047904586731436391679722788897785326770065022795979904976633542880176601380360906055394577578602829953275617527861722930661662968980933025747764135897104662347680028390597059607881152778840522969117632465485260440005340117083723593934754080018411952951870551094727872629342260199280079843379192663324543724804027998364973153419467036652876250408146717014251869627862652731933999980364953721062567846597290248611429122030645170611002982543677165887043449103080468200947109004861615288892586884988036835189118314927783432319308575942550070773858811087959973081418665711088960042724064935957225597297234894052903083087487546873366676179474600435072672624954155597010221544833273634345706063030362265315879639677504466057417262629330893308815547926984012307809091499175620727172326064994242164485867397185838873767279627478156512557674382169980455026743810626622579025309976338389825709298931861226445159281008918105112149669998727385400357259268225371932268495759593363832972934976477069752052439688521301919920336707016575925896193591790939774503682058374761015972296750911286565005668374382179169538713529956656059404657633492750907668817958801710863776428859690041023676457639306713186612244543039451319450584575536731588966434240519713345739280433185777734543287834362902975057612006342683623072222066092724015039983784250526864040951914108515939657740911939539393026369613619637887300808070911771518324644447613514926076821124274038829236377310076227642615965302085431727400374646973791129388697781833958777120855997460940630439098855876215405284173925414788567840288770324054548972174263869452509848203688603426130249291545132190557774878346935163974790320955829309203210859581455343699324612992281331766550659264299852378758156689825296510155613336658656165313137269891105673092802878982130746566763101960741258112481014346370462436269080437597012026840424896660492194348819149689004102024856099349545189340249870620727183600538286006837485470769873449748993969535510890669787250621175221493847716458725437288029536893649441421251575047804432546318881804153250506189144974654911045750556711546564236367005176147856654763970575413637196016503167856485083122972206359567823953354056956421048449970586311098240825735315601422844470247203458564480474227307031854969060778345926087178129528090565263245727407907680039597905827208492072162648599809428694301778889171309418351809205835900637229149965420151816282297941747774705653557048369376626625502721223717187613785481450903863102324860428650202690162059797666233870516908371987118306100225609796865037566057940788984659291524787673607069301694724282056684956362278283970880885390185521374071279532179361511810772697804945813776544093005846617310764959938257243124596641512136364357164803514574177539171164267114520601891395833911987566893915779728539739840221818050453854815226601662719194854904975421216968743199180706962146186106616241714070886786781720715659125009941027870088626507428181719989059197495792507908913077707129292137440246493264785083675046270393109027062895521648470074794256536918401696626078280404410506041863710084149970547908911779411146628472485566418947418644336425781276330923530912994162391616344917183041160902725677460109711123617518099363902801542240595209994930334504821099043588636754525640110424196811967324183674090777075773498274907222213314924939398013553916328637175428660235017776872242298847317054223283084930022191266233994925199169582751318521467612419385019540455347178958530485727798602438625282103729742686147414851060588368823084675630562611126657319831573722276188389440213820930653480487200545010571761026537723963210164869698734442538602203305687682248288477504470088447471037143165280080872839251252785477997534742887880074909604717384763575558991547929112733387537302636027805478570357691296133301815771004548088417080939920606499325129956055490124059881780662023139064096446524602740725912799703835074229535686387976378514351088713055777865465985653362154687349723712479428026945222820809436004264349158749079195611512547413070796367499120184453658092201750728364665582397084388161999956489858227019145899714905028312512168958591109043071210224920113851498572027510852209462216674793446}
30162  456482244123350346036724385762414361351523820453338266874878053063432788398318316894432: {693197,873857,1295117,1386302,1595777,1776077,2136461,2196497,2290564,2469758,2830622,3096077,4098904,4272638,4471937,4531661,4580824,4611267,5153427,5188097,5352638,5366957,5544472,6071918,6237531,6790622,7210961,7343668,7684935,7867598,8064388,8197264,8227947,8396561,8455757,8915224,8943278,9221922,9283661,9795175,10029627,10358872,10699277,10939731,11111297,11320984,11603515,11653731,11754210,11934161,12023067,12168977,12520961,12537824,12736107,12763672,13048397,13712335,13924218,13945982,14105052,14205784,14218157,14302238,14313175,14359131,14568461,14801837,15277431,15442961,15981507,16127704,16243843,16454802,16576450,16664237,16791998,17175810,17502062,17534417,17929135,18143667,18320864,18519495,18634061,19500161,19589050,19754128,19891740,20610972,20675354,20882177,21169517,21217856,21514962,21545095,21571457,21743597,22087661,22223394,22374161,22717697,23205490,23325784,23506860,23847364,23866718,23870088,24145997,24317057,24922958,25073984,25171277,25275268,25522651,25613050,25854114,26200984,26241507,26329262,26647661,26853849,26874317,27188427,27496961,27836177,27846588,28208232,28344461,28682957,28823883,28839988,29134958,29415377,29476107,29536220,30034061,30090257,30258797,30509464,30735660,30876161,31734261,32052077,32367175,32679115,32778257,32784704,33108148,33150700,33447377,34323147,34718702,34782161,35066462,35115137,35329587,35443464,35558657,36460930,36657028,36882792,37051757,37272461,37438395,37603277,38043917,38389442,38546571,38840610,38882318,38996335,39214938,39527297,39780840,39873897,39919982,39934288,40065304,40512977,41168657,41332397,41347964,41429984,41493141,41496472,41659661,41877677,42194600,42432896,42799099,42802817,42965837,43206415,43447287,43753116,43834061,44159117,44537127,44592077,44745278,44753445,44916461,44926074,45073467,45240557,45432302,45888775,46049537,46264961,46608732,46683531,46684450,46795602,46804622,47215384,47260468,47393837,47468925,47554817,47737008,47789331,48174638,48225435,48358637,48516782,49000397,49267457,49519435,49800977,49960877,50225342,50482731,50566622,50633520,51343661,51440464,51847698,52985297,53117307,53143757,53202603,53704134,54009088,54311198,54364795,54566657,54826264,54842060,55039661,55066530,55668542,55709050,55774157,55829935,56021340,56297837,56510625,56611661,56962710,57201304,57342797,57707777,57799108,57870522,57968237,58436561,58583283,58737632,59051822,59068520,59215661,59423322,59734061,59756096,60044717,60063998,60278000,60510161,60677695,60760224,60974957,61141570,61271815,61679547,61723450,62056961,62137915,62622317,63039067,63289217,63487227,63764222,64240015,64351467,64363661,64788868,64966748,65077997,65237754,65810472,65892461,66079836,66197357,66211864,66349697,66452085,66603437,66778718,66850860,66907661,66995922,67211597,67225608,67576708,67632472,67812750,68099059,68272948,68355252,68448398,68474897,69934061,69998872,70435661,70742050,70882224,71136557,71193595,71307584,71879731,72184961,72333600,72483857,72772718,72813234,73369884,73526178,73726157,73767747,74036781,74068140,74429438,74469137,74488347,74526148,74565498,74914061,75091118,75456977,75628809,76086531,76638161,77088018,77155840,77423057,78345800,78547757,78720062,78748731,79006016,79109625,79132877,79278977,79337215,79468207,79742502,79757050,80221032,80224495,80392024,80784461,81020318,81330567,81375300,81833323,81944717,82950295,83146315,83628497,84163672,84347117,84383600,84890460,85432314,85540817,85826561,85925678,86349677,86492177,86531887,86577278,86769651,86800320,86987299,87345100,87460504,87607947,87676877,87960461,88139025,88283283,88621037,88668161,88768450,88853342,88881768,88950737,89026228,89185997,89327057,90055810,90078161,90248661,90400564,90441027,90549824,91445918,91760657,91771450,91946335,92092622,92115667,92133137,92412161,92415758,92458637,92587008,92598017,92809640,93987857,94014960,94178125,94514584,94673935,94684131,94931550,94956461,94995662,95035171,95201668,95204658,95708460,96150797,96269394,96603422,97284370,97294097,97578627,97650360,97887038,98393067,98795597,99475217,99540354,99775578,99991989,...,948625842375343514195000850750496567517908831219911032695983398608454348242894257868827350249530164638021571376247832534468454936028712699776574179485884125848204331627048587208450036959512474211678459677844233994647582883079520498006471859919295460773478809528855757128884902579381657611963532218620836071304319956077220636327815739487413762277681107158169195597530628882982585438622716338930392531632471208072326644939540427418618185016555266651369348716401892424185233636792053447122669113775907840675885369251869459532499654097025442198293857920519270044656512506137686642611528017978109946412101449675642571856880097154587519584183346677990155097534193969857464950314320264902070541359083091866367904244929913426291792584395992494453471399538621646203845656993521520042585895589411821729168260784453676448698227890660008010175625585390902131120027617929427805826642091808944013390298920119765068788994986815587206041997547459730129200554979314375612220075521377804441793979097900999970547430581593851769895935372917143683045967755916504473815515748830565173654620702301420663507292422933338880327482055252783677472391675148478962863913825106160788216631939959622127998566633440064086097403935838395945852341079354624631231320310050014269211900652609008937431233395515332317249910451518559094545543397973819459516256699086125893943996339963223321890476018461713637248763431090758489097491363246728801095778758310650919441217234768836511573254970682540115715939933868537964964507584738563948397791839667738921513377157668224504998091078100535888902338057898402743639390045749459402464715604628078659532781952879880505060524863888844290387686409661755523087562141523958445126366929847508502561573268754308070294934984089106986450239126361503226938202566295664643289535061535514686458960069779918366814559176979175876863305097383449651360779570018608920649778666601814931751544354462586418009514025434608333099139086022559975676375790296061427871162773909486611367909309089539554420429456830951212106367657277486966671420272389115231686411058243854565965114341463923947953128147591100561970460686694083046672750938165681283996191410945658648283814323107926260888122182851760433155486081823458261395804178764772305532905139195373937317698285836662317520402745962185481433743963804816289372183015548986919488421997649825988896449778568137235034737944765233420004987984247969705904836658509639204318473196119850144652941111887168721521519555693654403620656395518040260637344990738291523228724533506153037284149024317784010374805931090775400807429010256228206154810174623490954303266336004680875931762832240771574688088155932044305340474162131877362571706648819478322706229875759283717461982366568625835067319846354550507764221784982145955863120455794024754751784727624684458309539351735930031085434631572674955879466647361238602973402134266705370805187846720711340960547782453591167518889130767194292135847894868591111861520059396858740812738108243972899714143041452668333756964127527713808753850955843724948130227724423446912621662058480335572554064939938254081835575781420678222176355794653487290642975304035243089696499350805775362557980677459150338414695297556349086911183476988937287181510410603952542086423085027434543417425956321328085278282061106919298269042267716159046707418720664816139508769925966147439907385864686894962268204546535747205271861266308756746400671780902837093750867981350340873669592809609760332727075680782222839902494078792282357463131825453114798771060443219279159924362571106330180172581073488687514911541805132939761142272579983588796243688761863369616560693938206160369739897177625512569405589663540594343282472705112191384805377602544939117420606615759062795565126224955821863367669116719942708728349628421127966504638671914496385296369491243587424517375774561741354088516190164566685426277149045854202313360892814992395501757231648565382955131788460165636295217950986275511136165613660247412360833319972387409097020330874492955763142990352526665308363448270975581334924627395033286899350992387798754374126977782201418629077529310683020768437795728591697903657937923155594614029221122276590882553234627013445843916689985979747360583414282584160320731395980220730800817515857641539806585944815247304548101663807903304958531523372432716256705132671206555714747920121309258876879178216996302114331820112364407076077145363338487321893669100081305953954041708217855536536944199952723656506822132625621409880909748987694934083235186089822670993034708596144669786904111088869199555752611344303529581964567771526633069583666798198978480043232031024585568719142040417834231214154006396523738123618793417268821119606194551248680276680487138302626092546998373595626582242999934734787340528718849572357542468768253437886663564606815337380170777247858041266278314193325012190169}
30163  457897640171637242328865630415766386880244486396570337297186002206596042640171848400251: {60322,2079453,2863205,3435846,3586541,3704637,4008221,4245933,4309877,4851413,5093153,5123630,5726030,6148356,6297797,6408957,6659393,6871236,6930590,7172606,7293638,7800821,8028957,8316708,8619182,9064013,9107877,9179585,9905861,10080485,10185933,10246580,10970596,11015502,11144030,11168213,11269742,11801397,12096582,12137957,12295896,12430061,12948590,13372836,13414917,13832883,14111741,14151230,14241557,14484353,14586308,15538308,15672280,15954590,16030756,16048097,16981476,17284862,17631315,17736557,17757230,18392933,18565624,18806736,18938561,19145508,20159630,20191061,20369908,20410061,20541158,20736833,20886327,20918973,21157578,21308676,21453357,21467717,21939736,22005293,22709726,22901080,22925861,23079797,23450237,23860577,24191556,24511982,24682203,24692660,24864675,25187997,25617653,25763715,26253093,26324006,26522320,26695781,26876621,27062597,27158318,27481296,28686616,29157230,29383575,29631192,29765933,29809205,29837610,30301637,30882917,30916458,31013031,31126502,31342480,31594085,31739102,31826784,32272443,32294081,32751230,33184526,33335091,34472152,34808235,34942502,34988676,35057141,35093102,35260290,35771046,35800077,35805132,36049985,36251236,36309413,36920275,37128784,37384437,37523477,37610976,37912902,38136830,38245661,38419575,38431844,38781171,39058118,39301476,39493893,40108637,40165406,40232933,40379438,40980880,41191841,41313461,41385185,41438375,41708477,41769882,41963582,42312348,43259982,43702437,44304330,45010406,45764196,45821285,45889877,46103490,46156526,47106116,47257952,47972981,48095006,49177056,49662222,49726050,49917860,50051141,50081630,50633246,51395428,51684955,51787480,51870590,52078053,52263398,52286584,52599693,52743250,53041120,53165196,53453153,53770277,54223982,54229877,54691395,54985542,55324188,55376621,56762942,56864261,57584163,57929716,57935381,58260915,58323477,58337488,58822407,59019230,59075585,59178413,59382836,59671260,59879973,59901432,60097956,60599246,61249013,62021946,62144976,62244708,62394136,63291900,63602957,63649344,63719108,64300580,65056742,65093093,65629674,67117917,67310308,67389111,67511360,68023517,68086502,68148453,68532830,68552575,69130264,69556526,69913098,70026675,70193403,70206933,70343021,70823076,70890702,70936804,71501630,71556398,71605512,72248885,72261957,72775173,73422040,73643213,73835650,74388197,74516261,74636222,74695120,74702357,75041966,75338013,75347500,75849933,75950280,76486238,76527941,77160696,77771547,78111044,78844757,78903422,79231096,80040641,80556201,80986085,81013632,81131558,81208435,81466797,82239396,82263090,82599795,82700261,82764830,83082893,83502813,83563575,84032010,84470885,84540590,84649636,85341185,85444065,85801956,86698662,86758373,86805783,86983672,87498590,87667973,87747296,87827381,88106448,88577733,88602780,89074817,89075261,89134480,89134983,89327896,89634144,90090413,90095997,90417000,90459182,90618593,91140336,91320341,91712355,91773638,92585175,92678822,93157685,94317533,94509632,94806086,95108006,95646333,95882597,96444800,97084312,97183302,97450122,97602302,97826512,97856631,97932250,98034904,98356996,98715708,98757520,99095006,99119754,99317796,99420664,...,1264834456500458018926667801000662090023878441626548043594644531477939130990525677158436466999373552850695428501663776712624606581371616933035432239314512167797605775502731449611266715946016632282237946237125645326196777177439360664008629146559060614364638412705141009505179870105842210149284709624827781428405759941436294181770420985983218349703574809544225594130040838510643447251496955118573856708843294944096435526586053903224824246688740355535159131621869189898913644849056071262830225485034543787567847159002492612709999538796033922931058477227359026726208683341516915523482037357304146595216135266234190095809173462872783359445577795570653540130045591959809953267085760353202760721812110789155157205659906551235055723445861323325937961866051495528271794209324695360056781194119215762305557681045938235264930970520880010680234167447187869508160036823905903741102189455745258684520398560159686758385326649087449608055996729946306838934073305752500816293434028503739255725305463867999960729907442125135693194580497222858244061290341222005965087354331774086898206160936401894218009723230577785173769976073670378236629855566864638617151885100141547717622175919946162837331422177920085448129871914451194594469788105806166174975093746733352358949200870145345249908311194020443089666547268691412126060724530631759279355008932114834525258661786617631095853968024615618182998351241454344652129988484328971734794371677747534559254956313025115348764339960910053487621253245158050619952676779651418597863722452890318562017836210224299339997454770800714518536450743864536991519186727665945869952954139504104879377042603839840673414033151851792387183581879549007364116749522031944593501822573130011336748764358339077427059913312118809315266985501815337635917603421727552857719380082047352915278613426373224489086078902638901169151073463177932868481039426691478560866371555469086575668725805950115224012685367246144444132185448030079967568501053728081903828217031879315481823879078786052739227239275774601616141823543036649288895227029852153642248548077658472754620152455285231930604170863454800749293947582258777395563667917554241711994921881260878197711752430810568347850829577135680577540648109097944348527738905019696407377206852260498583090264381115549756693870327949580641911658618406421719162910687398649225984562663533101318528599704757516313379650593020311226673317312330626274539782211346185605757964261493133526203921482516224962028692740924872538160875194024053680849793320984388697638299378008204049712198699090378680499741241454367201076572013674970941539746899497987939071021781339574501242350442987695432917450874576059073787298882842503150095608865092637763608306501012378289949309822091501113423093128472734010352295713309527941150827274392033006335712970166245944412719135647906708113912842096899941172622196481651470631202845688940494406917128960948454614063709938121556691852174356259056181130526491454815815360079195811654416984144325297199618857388603557778342618836703618411671801274458299930840303632564595883495549411307114096738753253251005442447434375227570962901807726204649720857300405380324119595332467741033816743974236612200451219593730075132115881577969318583049575347214138603389448564113369912724556567941761770780371042748142559064358723023621545395609891627553088186011693234621529919876514486249193283024272728714329607029148355078342328534229041203782791667823975133787831559457079479680443636100907709630453203325438389709809950842433937486398361413924292372213232483428141773573563441431318250019882055740177253014856363439978118394991585015817826155414258584274880492986529570167350092540786218054125791043296940149588513073836803393252156560808821012083727420168299941095817823558822293256944971132837894837288672851562552661847061825988324783232689834366082321805451354920219422247235036198727805603084481190419989860669009642198087177273509051280220848393623934648367348181554151546996549814444426629849878796027107832657274350857320470035553744484597694634108446566169860044382532467989850398339165502637042935224838770039080910694357917060971455597204877250564207459485372294829702121176737646169351261125222253314639663147444552376778880427641861306960974401090021143522053075447926420329739397468885077204406611375364496576955008940176894942074286330560161745678502505570955995069485775760149819209434769527151117983095858225466775074605272055610957140715382592266603631542009096176834161879841212998650259912110980248119763561324046278128192893049205481451825599407670148459071372775952757028702177426111555730931971306724309374699447424958856053890445641618872008528698317498158391223025094826141592734998240368907316184403501456729331164794168776323999912979716454038291799429810056625024337917182218086142420449840227702997144055021704418924433349586892}
30164  459317399367988290100460107900815593339116102127870558100380229349465332819071436775134: {90483,934123,1386394,1747714,1836283,2016499,2196643,2590234,2772604,3191554,3552154,4272922,4392994,4531963,4581128,4939516,5153769,5426923,5661244,6192154,7685445,8197808,8456323,8545276,8589045,8943874,9063322,9161648,9222534,9343363,9874723,10306854,10376194,10395885,10705276,10733914,10758909,10940457,11088944,12143836,12475062,12808225,12928773,13581244,13713245,14421922,14687336,15369870,15502243,15735196,16128776,16244921,16394528,16455894,16523253,16716045,16793122,16904613,16911514,17071699,17830448,17886556,18144873,18232885,18443844,18567322,19197269,19422885,19590350,20038445,20059254,20365843,20717744,21226845,21398554,21400699,21879462,22222594,22641968,23207030,23307462,23508420,23868322,23931885,24046134,24337954,25002283,25041922,25075648,25100789,25462385,25472214,25527344,25684699,25927293,26096794,26635845,27424670,27848436,27891964,28210104,28411568,28436314,28604476,28626350,28718262,28910443,29079499,29136922,29603674,30092323,30163133,30239445,30554862,30811737,30865825,30885922,30934363,31606699,31736367,31963014,32255408,32487686,32909604,33152900,33328474,33583996,34064589,34351620,35004124,35068834,35616523,35782699,35858270,36287334,36641728,36767973,37038990,37268122,37440499,38101603,38266699,39000322,39178100,39486009,39508256,39783480,40737477,41221944,41350708,41717083,41764354,42339034,42435712,43029924,43090190,43142914,43487194,43735845,44162203,44175322,44446788,44748322,44756415,44811499,45314045,45435394,45750761,46374687,46410980,46429699,46651568,46689753,47013720,47608653,47694728,47733436,47740176,48039805,48291994,48634114,49126845,49776789,49804483,49845916,50147968,50342554,50443699,50550536,51045302,51226100,51708228,52401968,52413753,52483014,52639653,52658524,52830499,52890435,53295322,53656569,53707698,53748634,54376854,54594869,54993922,55672354,55693176,56416464,56688922,56869353,57205245,57365914,57647766,57679976,57711883,58269916,58492723,58587177,58830754,58882645,58952214,59072440,59271763,59893699,60068122,60180514,60248109,60488981,60517594,60569157,61018928,61471320,61598083,61752322,62061403,62397325,62654823,62945373,63468522,63601123,64104154,64244285,64734350,64889973,65133643,65286499,65358230,65556514,65569408,65897203,66216296,66301400,66456495,66894754,67515609,68328499,68479843,68646294,69155235,69234789,69327209,69437404,69564322,70132924,70230274,70659174,70886928,71117314,72142509,72412145,72921860,73314056,73582699,73731523,73765584,74103514,74228545,74326099,74493333,74544922,74589075,74876790,75122445,75206554,75807499,75949869,76087834,76110713,76545499,76692883,76778884,77093142,77681220,77764636,77805885,77992670,78161909,78395097,78429876,78748699,79054594,79114875,79561680,79648885,79747794,79839964,79868576,80130608,80354083,80375725,81025954,81335973,82337314,82384699,82478313,82664794,82695928,82859968,82962283,82986282,82992944,83319322,83755354,83821177,84137885,84389200,84401203,84865792,84948773,85144413,85598198,85605634,85780541,85931674,86412830,86688499,86894574,86993081,87506232,87668122,87967003,88318234,88528845,88671005,88674763,89074254,89184154,89380723,89490556,89506890,89662603,89832922,89852148,89936021,90146934,90481114,90864604,90898869,91767523,91777550,92099074,92465563,92529922,93032919,93217464,93367062,93368900,93591204,93609244,93717499,94184375,94430768,94520936,94787674,94937850,95109634,95474016,95578662,95748301,95791099,96349276,96450870,96712109,96717274,97033564,97585113,97638805,98000794,98444511,98530699,98534914,98666923,99038870,99601954,99671033,99921754,...,1897251684750687028390001701500993135035817662439822065391966797216908696485788515737654700499060329276043142752495665068936909872057425399553148358971768251696408663254097174416900073919024948423356919355688467989295165766159040996012943719838590921546957619057711514257769805158763315223927064437241672142608639912154441272655631478974827524555362214316338391195061257765965170877245432677860785063264942416144653289879080854837236370033110533302738697432803784848370467273584106894245338227551815681351770738503738919064999308194050884396587715841038540089313025012275373285223056035956219892824202899351285143713760194309175039168366693355980310195068387939714929900628640529804141082718166183732735808489859826852583585168791984988906942799077243292407691313987043040085171791178823643458336521568907352897396455781320016020351251170781804262240055235858855611653284183617888026780597840239530137577989973631174412083995094919460258401109958628751224440151042755608883587958195801999941094861163187703539791870745834287366091935511833008947631031497661130347309241404602841327014584845866677760654964110505567354944783350296957925727827650212321576433263879919244255997133266880128172194807871676791891704682158709249262462640620100028538423801305218017874862466791030664634499820903037118189091086795947638919032513398172251787887992679926446643780952036923427274497526862181516978194982726493457602191557516621301838882434469537673023146509941365080231431879867737075929929015169477127896795583679335477843026754315336449009996182156201071777804676115796805487278780091498918804929431209256157319065563905759761010121049727777688580775372819323511046175124283047916890252733859695017005123146537508616140589869968178213972900478252723006453876405132591329286579070123071029372917920139559836733629118353958351753726610194766899302721559140037217841299557333203629863503088708925172836019028050869216666198278172045119951352751580592122855742325547818973222735818618179079108840858913661902424212735314554973933342840544778230463372822116487709131930228682927847895906256295182201123940921373388166093345501876331362567992382821891317296567628646215852521776244365703520866310972163646916522791608357529544611065810278390747874635396571673324635040805491924370962867487927609632578744366031097973838976843995299651977792899557136274470069475889530466840009975968495939411809673317019278408636946392239700289305882223774337443043039111387308807241312791036080521274689981476583046457449067012306074568298048635568020749611862181550801614858020512456412309620349246981908606532672009361751863525664481543149376176311864088610680948324263754725143413297638956645412459751518567434923964733137251670134639692709101015528443569964291911726240911588049509503569455249368916619078703471860062170869263145349911758933294722477205946804268533410741610375693441422681921095564907182335037778261534388584271695789737182223723040118793717481625476216487945799428286082905336667513928255055427617507701911687449896260455448846893825243324116960671145108129879876508163671151562841356444352711589306974581285950608070486179392998701611550725115961354918300676829390595112698173822366953977874574363020821207905084172846170054869086834851912642656170556564122213838596538084535432318093414837441329632279017539851932294879814771729373789924536409093071494410543722532617513492801343561805674187501735962700681747339185619219520665454151361564445679804988157584564714926263650906229597542120886438558319848725142212660360345162146977375029823083610265879522284545159967177592487377523726739233121387876412320739479794355251025138811179327081188686564945410224382769610755205089878234841213231518125591130252449911643726735338233439885417456699256842255933009277343828992770592738982487174849034751549123482708177032380329133370852554298091708404626721785629984791003514463297130765910263576920331272590435901972551022272331227320494824721666639944774818194040661748985911526285980705053330616726896541951162669849254790066573798701984775597508748253955564402837258155058621366041536875591457183395807315875846311189228058442244553181765106469254026891687833379971959494721166828565168320641462791960441461601635031715283079613171889630494609096203327615806609917063046744865432513410265342413111429495840242618517753758356433992604228663640224728814152154290726676974643787338200162611907908083416435711073073888399905447313013644265251242819761819497975389868166470372179645341986069417192289339573808222177738399111505222688607059163929135543053266139167333596397956960086464062049171137438284080835668462428308012793047476247237586834537642239212389102497360553360974276605252185093996747191253164485999869469574681057437699144715084937536506875773327129213630674760341554495716082532556628386650024380338}
30165  460741535084138671190009361292899039680800517905399623712537362677681866348846664154519: {120644,2079591,2621571,3465755,3885351,4008487,4158906,4787331,5093491,5328231,5635619,5726410,6174395,6409383,6589491,6871692,7076555,7173082,7409274,7442851,8016442,8491866,8619754,9288231,9702826,10186306,10247260,10681595,11452060,12296712,12595594,12817914,12851419,13318786,13381595,13415811,13580963,13594983,13742472,13833801,13861180,14112679,14345212,14587276,14848667,15179795,15460281,15564291,15601642,15932951,16057914,16100871,16633416,16830931,16976555,17238364,18128026,18215754,18359170,18712593,19668995,19811722,20085371,20160970,20371866,20493160,21166627,21632883,21941192,22031004,22288060,22336426,22358195,22539484,23054805,23602794,23862163,24193164,24275914,24591792,24594151,24683841,24860122,25189683,25367271,25897180,26745672,26829834,27454823,27665766,27850983,28223482,28302460,28483114,28928983,28968706,29172616,29385525,30088881,30179267,31076616,31344560,31909180,32061512,32096194,32097831,32819193,33333891,33962952,34521259,34569724,34810545,34864955,34961193,35262630,35365319,35473114,35514460,35755595,35802483,36069201,36506931,36678491,36785866,37131248,37562883,37613472,37877122,38208321,38291016,39145191,40111303,40319260,40382122,40739816,40820122,41011307,41082316,41137005,41194579,41441125,41473666,41732887,41772654,41837946,41979995,42315156,42617352,42654471,42906714,42935434,42939525,43077393,43705383,43755155,43879472,44010586,44231719,44405511,45419452,45479267,45802160,45832293,45851722,46159594,46328883,46900474,47721154,47944521,48383112,48731529,48972625,49023964,49105943,49364406,49385320,49729350,49992711,50375994,50469979,51235306,51527430,51590699,51688385,52506186,52603251,52648012,53044640,53391562,53753242,53787405,54125194,54233491,54316636,54431001,54962592,55558485,55902183,57373232,57382631,57939259,58013725,58314460,58500483,58767150,59262384,59531866,59618410,59666795,59675220,60603274,61765834,61832916,62026062,62253004,62307395,62646531,62684960,63188170,63478204,63508551,63546691,63653568,64032625,64149799,64544886,64588162,64635285,64714371,65230791,65344283,65502460,65823155,66262983,66369052,66426839,66670182,67122483,68153091,68944304,69616470,69885004,69895619,69977352,70114282,70186204,70520580,71542092,71600154,71610264,72099970,72358937,72437991,72502472,72618826,72837395,72951171,73840550,74257568,74727719,74768874,75046954,75167131,75221952,75513831,75825804,76273660,76491322,76567953,76687523,76839150,76863688,77551307,77562342,78045371,78116236,78602952,78724521,78987786,79942983,80217274,80330812,80465866,80561547,80622951,80758876,81565281,81961760,82383682,82490883,82626922,82705819,82770370,82876750,83353607,83416954,83508531,83539764,83927164,84435731,84624696,85033383,86048871,86471649,86519964,86796755,87404874,87666155,88246131,88428321,88608660,89457187,90020812,90102183,90270771,90423143,90776391,91152325,91528392,91642570,91779754,92206980,92313052,92337443,92628483,92857351,93179987,94212232,94515904,95202783,95945962,95973605,96156231,96190012,97101525,97205795,98037345,98334771,98354112,99324444,99452100,99799955,99835720,...,2845877527126030542585002552251489702553726493659733098087950195825363044728682773606482050748590493914064714128743497603405364808086138099329722538457652377544612994881145761625350110878537422635035379033532701983942748649238561494019415579757886382320436428586567271386654707738144972835890596655862508213912959868231661908983447218462241286833043321474507586792591886648947756315868149016791177594897413624216979934818621282255854555049665799954108046149205677272555700910376160341368007341327723522027656107755608378597498962291076326594881573761557810133969537518413059927834584053934329839236304349026927715570640291463762558752550040033970465292602581909572394850942960794706211624077249275599103712734789740278875377753187977483360414198615864938611536970980564560127757686768235465187504782353361029346094683671980024030526876756172706393360082853788283417479926275426832040170896760359295206366984960446761618125992642379190387601664937943126836660226564133413325381937293702999911642291744781555309687806118751431049137903267749513421446547246491695520963862106904261990521877268800016640982446165758351032417175025445436888591741475318482364649895819878866383995699900320192258292211807515187837557023238063873893693960930150042807635701957827026812293700186545996951749731354555677283636630193921458378548770097258377681831989019889669965671428055385140911746290293272275467292474089740186403287336274931952758323651704306509534719764912047620347147819801605613894893522754215691845193375519003216764540131473004673514994273234301607666707014173695208230918170137248378207394146813884235978598345858639641515181574591666532871163059228985266569262686424571875335379100789542525507684719806262924210884804952267320959350717379084509680814607698886993929868605184606544059376880209339755100443677530937527630589915292150348954082338710055826761949335999805444795254633063387759254028542076303824999297417258067679927029127370888184283613488321728459834103727927268618663261288370492853636319102971832460900014260817167345695059233174731563697895343024391771843859384442773301685911382060082249140018252814497043851988574232836975944851442969323778782664366548555281299466458245470374784187412536294316916598715417586121811953094857509986952561208237886556444301231891414448868116549046646960758465265992949477966689349335704411705104213834295700260014963952743909117714509975528917612955419588359550433958823335661506164564558667080963210861969186554120781912034972214874569686173600518459111852447072953352031124417793272326202422287030768684618464430523870472862909799008014042627795288496722314724064264467796132916021422486395632087715119946458434968118689627277851152385947099705877505201959539063651523292665354946437867589361367382074264255354182874053374928618055207790093256303894718024867638399942083715808920206402800116112415563540162134022881643347360773502556667392301582876407543684605773335584560178190576222438214324731918699142429124358005001270892382583141426261552867531174844390683173270340737864986175441006717662194819814762245506727344262034666529067383960461871928925912105729269089498052417326087673942032377451015244085892669047260733550430966811861544531231811857626259269255082303630252277868963984255834846183320757894807126803148477140122256161994448418526309777898442319722157594060684886804613639607241615815583798926270239202015342708511281252603944051022621008778428829280998181227042346668519707482236376847072389395476359344396313181329657837479773087713318990540517743220466062544734625415398819283426817739950766388731066285590108849682081814618481109219691532876537708216768990621783029847418115336574154416132807634817352261819847277188386695378674867465590103007350159828126185048885263383899513916015743489155889108473730762273552127323685224062265548570493700056278831447137562606940082678444977186505271694945696148865395365380496908885653852958826533408496840980742237082499959917162227291060992623478867289428971057579995925090344812926744004773882185099860698052977163396263122380933346604255887232587932049062305313387185775093710973813769466783842087663366829772647659703881040337531750069957939242081750242847752480962194187940662192402452547572924619419757834445741913644304991423709914875594570117298148770115398013619667144243760363927776630637534650988906342995460337093221228231436090015461965681007300243917861862125124653566609610832599858170969520466397876864229642729246963084802249705558269468012979104125788434009360712333266607598667257834032910588745893703314579899208751000394596935440129696093073756706157426121253502693642462019189571214370856380251806463358818583653746040830041461414907878277640995120786879746728999804204362021586156548717072627406304760313659990693820446012140512331743574123798834942579975036570507}
30166  462170060732565296716034734869774970750276811964062875216115897370586655378958583483876: {150805,180966,873973,1415593,1595989,1868246,2772788,3216313,3495428,3672566,4032998,4113973,4393286,5180468,5545208,6238359,6383108,7104308,7152553,8545844,8589615,8752789,8785988,9063926,9162256,9879032,10307538,10347193,10759623,10853846,11113911,11322488,12024663,12384308,12737799,12809075,12929631,13167289,13342933,14315075,14554239,14920489,15279459,15370890,16395616,16912646,17090552,17178090,17326475,17536789,17710633,17887748,17931515,18126644,18234095,18323296,18445068,18686726,18893391,19198543,19226871,19749446,19978179,20136889,20613708,20752388,20791770,21410552,21467828,21517818,21547955,21861289,21880914,22177888,23402463,24086871,24263353,24287672,24605353,24950124,25288489,25526039,25616450,25857546,27162488,27192039,27323631,27426490,27538755,27860075,28053823,28174355,28843844,29374672,29531989,29700793,29717583,30241455,30557799,30739740,31004486,31470392,32056489,32257552,32371475,32489842,32789056,32911788,33046506,33432090,33504639,33586244,33809226,33823028,34143398,34398073,35230933,35378075,35404191,35647339,35660896,35773112,36289746,36413871,36465770,36887688,37134644,37290183,37718713,38394538,38845770,39180700,39532789,39886475,40076890,40107023,40118508,40244751,40731686,41435488,41498649,42335223,42453690,42724671,42797108,42801398,43212155,43453059,43623289,43758924,44393075,44445188,44598313,45283936,45894313,46217593,46414060,46614924,47016840,47507833,47736644,47863770,48092268,48144291,48675908,49274389,50004566,50083844,50151296,50201578,50399075,50924770,50944428,51054688,51352895,51369398,51854586,52193588,52305193,52893945,53098453,53209671,53271690,53415253,54849340,55178799,55696872,55783928,56410489,56420208,56774315,56815683,56823136,56872628,57208952,57252700,57436524,57820886,58132693,58158998,58273844,59207348,60184646,60326266,60478890,60573183,61109724,61230183,61279955,61623474,61731650,61771844,61859989,61868726,62210499,62658981,62756919,63213398,63400789,63439663,63472734,63926028,64360071,64403151,64510816,64975372,65087353,65545813,65810015,65819208,66015879,66305800,66460789,66613033,66656948,67069333,67167992,67221289,67255727,67895795,68129178,68585653,68703240,68777583,69239391,70008248,70137668,70350711,70395733,71233046,71565398,71581731,71716540,72574668,72893075,73091413,73283456,73535946,73836073,74046609,74077980,74536244,74594025,74875573,74880998,75563991,76203206,76533398,76852959,77291145,77532373,77816255,78000644,78356200,78759279,78972018,79016512,79347755,79566960,79728553,80087343,80629863,80747893,81187791,81474954,81878075,82053289,82435703,82443888,82701416,82961315,83434166,83528708,83640853,84678068,84871424,86059848,86180380,86285828,86974388,87356255,87471690,87732755,88150725,88324406,88350644,88893576,89297799,89427615,89496644,89512830,89622998,89941999,90628090,90747253,90870788,90904911,91167913,91501522,92146933,92565433,92648751,92749374,92821960,92859398,93039093,93303136,93379506,94027440,94094389,94232953,94782255,95217306,95342075,95389456,95466872,95476789,95480352,96079610,96583988,96817329,96882243,97268228,97400053,97645295,98253690,99061391,99445033,99553578,99608966,99691832,99716473,...,3794503369501374056780003403001986270071635324879644130783933594433817392971577031475309400998120658552086285504991330137873819744114850799106296717943536503392817326508194348833800147838049896846713838711376935978590331532318081992025887439677181843093915238115423028515539610317526630447854128874483344285217279824308882545311262957949655049110724428632676782390122515531930341754490865355721570126529884832289306579758161709674472740066221066605477394865607569696740934547168213788490676455103631362703541477007477838129998616388101768793175431682077080178626050024550746570446112071912439785648405798702570287427520388618350078336733386711960620390136775879429859801257281059608282165436332367465471616979719653705167170337583969977813885598154486584815382627974086080170343582357647286916673043137814705794792911562640032040702502341563608524480110471717711223306568367235776053561195680479060275155979947262348824167990189838920516802219917257502448880302085511217767175916391603999882189722326375407079583741491668574732183871023666017895262062995322260694618482809205682654029169691733355521309928221011134709889566700593915851455655300424643152866527759838488511994266533760256344389615743353583783409364317418498524925281240200057076847602610436035749724933582061329268999641806074236378182173591895277838065026796344503575775985359852893287561904073846854548995053724363033956389965452986915204383115033242603677764868939075346046293019882730160462863759735474151859858030338954255793591167358670955686053508630672898019992364312402143555609352231593610974557560182997837609858862418512314638131127811519522020242099455555377161550745638647022092350248566095833780505467719390034010246293075017232281179739936356427945800956505446012907752810265182658573158140246142058745835840279119673467258236707916703507453220389533798605443118280074435682599114666407259727006177417850345672038056101738433332396556344090239902705503161184245711484651095637946445471637236358158217681717827323804848425470629109947866685681089556460926745644232975418263860457365855695791812512590364402247881842746776332186691003752662725135984765643782634593135257292431705043552488731407041732621944327293833045583216715059089222131620556781495749270793143346649270081610983848741925734975855219265157488732062195947677953687990599303955585799114272548940138951779060933680019951936991878823619346634038556817273892784479400578611764447548674886086078222774617614482625582072161042549379962953166092914898134024612149136596097271136041499223724363101603229716041024912824619240698493963817213065344018723503727051328963086298752352623728177221361896648527509450286826595277913290824919503037134869847929466274503340269279385418202031056887139928583823452481823176099019007138910498737833238157406943720124341738526290699823517866589444954411893608537066821483220751386882845363842191129814364670075556523068777168543391579474364447446080237587434963250952432975891598856572165810673335027856510110855235015403823374899792520910897693787650486648233921342290216259759753016327342303125682712888705423178613949162571901216140972358785997403223101450231922709836601353658781190225396347644733907955749148726041642415810168345692340109738173669703825285312341113128244427677193076169070864636186829674882659264558035079703864589759629543458747579849072818186142988821087445065235026985602687123611348375003471925401363494678371238439041330908302723128891359609976315169129429852527301812459195084241772877116639697450284425320720690324293954750059646167220531759044569090319934355184974755047453478466242775752824641478959588710502050277622358654162377373129890820448765539221510410179756469682426463036251182260504899823287453470676466879770834913398513684511866018554687657985541185477964974349698069503098246965416354064760658266741705108596183416809253443571259969582007028926594261531820527153840662545180871803945102044544662454640989649443333279889549636388081323497971823052571961410106661233453793083902325339698509580133147597403969551195017496507911128805674516310117242732083073751182914366791614631751692622378456116884489106363530212938508053783375666759943918989442333657130336641282925583920882923203270063430566159226343779260989218192406655231613219834126093489730865026820530684826222858991680485237035507516712867985208457327280449457628304308581453353949287574676400325223815816166832871422146147776799810894626027288530502485639523638995950779736332940744359290683972138834384578679147616444355476798223010445377214118327858271086106532278334667192795913920172928124098342274876568161671336924856616025586094952494475173669075284478424778204994721106721948553210504370187993494382506328971999738939149362114875398289430169875073013751546654258427261349520683108991432165065113256773300048760676}
30167  463602989766610217866207370438316221014013725920937787760074197763380586539863169600965: {241288,271449,2802369,3465985,4159182,4369285,4852057,5243142,5508849,5635993,6049497,6298633,6475585,6589929,6660277,6931510,7623649,7770702,7978885,8016974,8317812,8644153,8708437,8880385,9574662,9907177,10186982,10656462,10682305,10982485,11271238,11452820,12258433,12348790,12818766,13178982,13595889,13743384,14153110,14243449,14346164,14818548,14885702,14954233,15461307,15480385,15566353,15872713,16032884,16050229,16280769,16595569,16983732,17239508,17550049,18576462,18734233,18941077,19405652,19532953,20372612,20494520,20985973,21251713,21363190,21470569,22175593,22359685,22658305,22904120,23056335,23767177,24052297,24593424,25191188,25321669,25368969,25635828,25702838,25767135,25940485,26637572,26763190,26831622,26834785,27117397,27161926,27189966,27484944,27536593,27667602,27722360,28030089,28225358,28387129,28690424,29174552,29624169,29697334,30181273,30359590,30920562,31128582,31187655,31202293,31203284,31301473,31865902,32072953,32115828,32201742,32276727,32446609,32534857,32821371,33266832,33661862,33729769,33953110,34476728,35785333,36026353,36054805,36256052,36431508,36680929,36718340,37425186,38424675,38786319,39337990,39623444,40170742,40321940,40385353,40743732,40986320,41014033,41139735,41795377,41950513,41982805,42278785,42333254,43265766,43839673,43882384,44062008,44576120,44672852,44716390,45078968,45645013,46109610,46418305,46506729,47205588,47724326,48386328,48551828,48734763,48810937,48975875,49183584,49188302,49367682,49569759,49720244,50057833,50148135,50379366,50489209,50713839,50734542,50829769,51215097,51794360,52612297,53491344,53496385,53659668,54434619,54698655,54909646,55089793,55331532,55556485,55701966,56446964,56604920,56966228,57057649,57591807,57660193,57857966,57937412,58017575,58268655,58345232,58427953,58771050,58771993,59670805,60115335,60177762,60358534,60844885,61097529,61257217,62153232,62604805,62689120,63680535,63818360,64123024,64192388,64195662,64202097,64921153,65241985,65638386,65644993,66667782,67034857,67925904,68531809,68561675,68865169,69042518,69139448,69621090,69729910,69900277,69922386,70525260,70730638,70915993,70946228,71028920,71090785,71511190,71565875,71604966,71795655,72138402,72363739,72842305,73013862,73356982,73571732,74009185,74262496,75006849,75125766,75226944,75302367,75386113,75754244,76387155,76416642,76582032,77054097,77214805,77781879,78118633,78290382,78651793,78964993,79907535,80222606,80638520,80764244,81219215,81479632,81640244,82022614,82164632,82274010,82389158,82572073,82882250,82899673,82947332,83321185,83465774,83533513,83545308,83675892,83959990,84630312,85121737,85234704,85308942,85813428,85870868,85879050,86154786,86179153,86731329,87230353,87238497,87410766,87510310,87672085,87758944,88021172,88314577,88463438,88811022,89645675,90276969,90429169,90489399,90630709,90718335,90838904,90958534,91041313,91604320,91664586,91703444,92152417,92274337,92319188,92435211,92597475,92657766,92803089,92994649,93170305,93800948,94820097,94921669,95209101,95442308,95889042,96248449,96766224,97276873,97322233,97463058,97500805,97945250,98047928,98211886,98728812,98770640,99458700,99606193,99985422,...,5691755054252061085170005104502979405107452987319466196175900391650726089457365547212964101497180987828129428257486995206810729616172276198659445076915304755089225989762291523250700221757074845270070758067065403967885497298477122988038831159515772764640872857173134542773309415476289945671781193311725016427825919736463323817966894436924482573666086642949015173585183773297895512631736298033582355189794827248433959869637242564511709110099331599908216092298411354545111401820752320682736014682655447044055312215511216757194997924582152653189763147523115620267939075036826119855669168107868659678472608698053855431141280582927525117505100080067940930585205163819144789701885921589412423248154498551198207425469579480557750755506375954966720828397231729877223073941961129120255515373536470930375009564706722058692189367343960048061053753512345412786720165707576566834959852550853664080341793520718590412733969920893523236251985284758380775203329875886253673320453128266826650763874587405999823284583489563110619375612237502862098275806535499026842893094492983391041927724213808523981043754537600033281964892331516702064834350050890873777183482950636964729299791639757732767991399800640384516584423615030375675114046476127747787387921860300085615271403915654053624587400373091993903499462709111354567273260387842916757097540194516755363663978039779339931342856110770281823492580586544550934584948179480372806574672549863905516647303408613019069439529824095240694295639603211227789787045508431383690386751038006433529080262946009347029988546468603215333414028347390416461836340274496756414788293627768471957196691717279283030363149183333065742326118457970533138525372849143750670758201579085051015369439612525848421769609904534641918701434758169019361629215397773987859737210369213088118753760418679510200887355061875055261179830584300697908164677420111653523898671999610889590509266126775518508057084152607649998594834516135359854058254741776368567226976643456919668207455854537237326522576740985707272638205943664921800028521634334691390118466349463127395790686048783543687718768885546603371822764120164498280036505628994087703977148465673951889702885938647557565328733097110562598932916490940749568374825072588633833197430835172243623906189715019973905122416475773112888602463782828897736233098093293921516930531985898955933378698671408823410208427668591400520029927905487818235429019951057835225910839176719100867917646671323012329129117334161926421723938373108241563824069944429749139372347201036918223704894145906704062248835586544652404844574061537369236928861047740945725819598016028085255590576993444629448128528935592265832042844972791264175430239892916869936237379254555702304771894199411755010403919078127303046585330709892875735178722734764148528510708365748106749857236110415580186512607789436049735276799884167431617840412805600232224831127080324268045763286694721547005113334784603165752815087369211546671169120356381152444876428649463837398284858248716010002541784765166282852523105735062349688781366346540681475729972350882013435324389639629524491013454688524069333058134767920923743857851824211458538178996104834652175347884064754902030488171785338094521467100861933623723089062463623715252518538510164607260504555737927968511669692366641515789614253606296954280244512323988896837052619555796884639444315188121369773609227279214483231631167597852540478404030685417022562505207888102045242017556857658561996362454084693337039414964472753694144778790952718688792626362659315674959546175426637981081035486440932125089469250830797638566853635479901532777462132571180217699364163629236962218439383065753075416433537981243566059694836230673148308832265615269634704523639694554376773390757349734931180206014700319656252370097770526767799027832031486978311778216947461524547104254647370448124531097140987400112557662894275125213880165356889954373010543389891392297730790730760993817771307705917653066816993681961484474164999919834324454582121985246957734578857942115159991850180689625853488009547764370199721396105954326792526244761866693208511774465175864098124610626774371550187421947627538933567684175326733659545295319407762080675063500139915878484163500485695504961924388375881324384804905095145849238839515668891483827288609982847419829751189140234596297540230796027239334288487520727855553261275069301977812685990920674186442456462872180030923931362014600487835723724250249307133219221665199716341939040932795753728459285458493926169604499411116538936025958208251576868018721424666533215197334515668065821177491787406629159798417502000789193870880259392186147513412314852242507005387284924038379142428741712760503612926717637167307492081660082922829815756555281990241573759493457999608408724043172313097434145254812609520627319981387640892024281024663487148247597669885159950073141014}
30168  465040335680604408330332003179920723701886315338897325291233465996750303615667685201652: {211127,301610,361932,874031,934247,1747946,1776431,2136887,2377031,2831186,2916887,3191978,3276431,3736492,4174031,4711727,5368031,5545576,6238773,6432626,6990856,7212407,7345132,7509167,7864713,8065996,8227946,8786572,9462767,9876047,10360936,10397265,10406831,11090416,11290031,11656053,12025461,12171431,12476718,12766216,14208616,14305106,14316025,14361993,14804831,15280473,15984693,16493327,16841831,16906857,17091688,17179230,17364047,17505578,17571976,17711831,17769767,17932705,18127852,18324512,18523185,18637847,18926807,19228149,19758064,19768473,20041105,20615076,20694386,21229665,21519246,21549385,21707692,21748031,22227822,22264127,22328553,22607831,22644976,24049326,24093887,24257065,24322031,24768616,25104121,25119527,25465765,25475598,25527733,25618150,25801847,25859262,26334578,26685866,27389447,27672287,27864693,28237367,28519607,28630150,29108478,29759087,29840978,30040247,30167137,30265031,30558918,30741780,31488985,31723007,32044785,32226431,32791232,33296965,33398567,33825292,34181104,34356180,34652950,35073578,35421266,35775496,35863030,36253288,36396431,36468190,36646592,36890136,37225031,37373452,37445687,37555967,37786782,38397086,38453742,38554257,39004105,39206327,39444097,39498892,39956358,40144785,40247433,40273778,40521431,40742889,40784949,41227416,41341031,41501403,41504776,41583540,42213287,42338037,42485447,42821104,42935656,42974831,43035636,43095910,43300727,43722578,43761828,44330831,44355776,44546001,44925887,45320065,45539385,45627887,45897925,45951431,46220831,46274687,46380843,46436207,46692873,46804926,47399209,47564831,47798853,48173742,48302613,48526706,48575344,48957287,49210706,49529305,49900248,49971431,50402425,50492793,50576978,50929665,51052078,51232900,51715092,52679327,52943687,53155031,53419031,54324976,54384078,54647262,54852980,54998831,55077510,55720150,55841065,55995647,56107646,56137779,56348710,56780567,57687688,58136831,58449047,58605047,58749344,58916831,59006985,59063978,59228327,59401586,59435166,59902247,60005807,60256113,60482910,60497017,60689785,61115598,61479480,61709927,62008972,62070287,62150305,62841167,62940784,63251567,63499881,64112978,64515104,64742950,64898649,64979684,65143007,65397767,65578112,65823576,66059207,66093012,66364031,66864180,67009278,67074167,67074585,67172488,67618452,67646056,68286796,68338367,68590607,68796146,69164415,69698087,70450967,70461866,70558705,70601327,70756150,70808382,71207785,71294678,71321792,71546224,71586489,71894053,72100967,72421765,72579492,72827742,72931540,73146431,73775376,73782453,73841447,73891031,74051523,74269288,74435927,74580366,74633831,74930447,75177407,75437426,75569049,76101813,76654967,76789076,77691540,78361400,78760247,79004087,79065578,79296431,79484041,79734407,79772950,80153780,80214046,80237016,80240485,80462927,80489502,80802287,81463372,82364469,82493207,82870976,82974527,82997298,83552949,84126431,84670446,84796247,84907380,85449342,85594216,85602796,85791937,85845647,85988447,86424310,86511431,86701367,86786949,86796287,86906118,87246578,87517848,88156575,88682785,88786150,88829327,88890376,89111831,89196626,89347031,89769887,90266643,90537801,90567872,90800807,91788626,91964665,92134021,92339927,92435186,92572367,92618831,92828120,93229848,93314831,93962807,94033680,94286207,94692805,94977887,95015666,95054113,95473288,95727540,95805527,96184536,96288582,96293493,97270487,97351816,98136431,98363831,98457579,98548778,99316727,99497831,...,8537632581378091627755007656754469107661179480979199294263850587476089134186048320819446152245771481742194142386230492810216094424258414297989167615372957132633838984643437284876050332635612267905106137100598105951828245947715684482058246739273659146961309285759701814159964123214434918507671789967587524641738879604694985726950341655386723860499129964423522760377775659946843268947604447050373532784692240872650939804455863846767563665148997399862324138447617031817667102731128481024104022023983170566082968323266825135792496886873228979784644721284673430401908612555239179783503752161802989517708913047080783146711920874391287676257650120101911395877807745728717184552828882384118634872231747826797311138204369220836626133259563932450081242595847594815834610912941693680383273060304706395562514347060083088038284051015940072091580630268518119180080248561364850252439778826280496120512690281077885619100954881340284854377977927137571162804994813829380509980679692400239976145811881108999734926875234344665929063418356254293147413709803248540264339641739475086562891586320712785971565631806400049922947338497275053097251525076336310665775224425955447093949687459636599151987099700960576774876635422545563512671069714191621681081882790450128422907105873481080436881100559637990855249194063667031850909890581764375135646310291775133045495967059669009897014284166155422735238870879816826401877422269220559209862008824795858274970955112919528604159294736142861041443459404816841684680568262647075535580126557009650293620394419014020544982819702904823000121042521085624692754510411745134622182440441652707935795037575918924545544723774999598613489177686955799707788059273715626006137302368627576523054159418788772632654414856801962878052152137253529042443823096660981789605815553819632178130640628019265301331032592812582891769745876451046862247016130167480285848007999416334385763899190163277762085626228911474997892251774203039781087382112664552850840464965185379502311183781805855989783865111478560908957308915497382700042782451502037085177699524194691093686029073175315531578153328319905057734146180246747420054758443491131555965722698510927834554328907971336347993099645665843898399374736411124352562237608882950749796146252758365435859284572529960857683624713659669332903695674243346604349647139940882275395797978848433900068048007113235115312641502887100780044891858231727353143529926586752838866258765078651301876470006984518493693676001242889632585907559662362345736104916644623709058520801555377335557341218860056093373253379816978607266861092306053855393291571611418588729397024042127883385865490166944172192793403388398748064267459186896263145359839375304904356068881833553457157841299117632515605878617190954569877996064839313602768084102146222792766062548622160124785854165623370279768911684154074602915199826251147426760619208400348337246690620486402068644930042082320507670002176904748629222631053817320006753680534571728667314642974195756097427287373074015003812677147749424278784658602593524533172049519811022213594958526323020152986584459444286736520182032786103999587202151881385615786777736317187807268494157251978263021826097132353045732257678007141782200651292900435584633593695435572878777807765246910890756833606891952767504538549962273684421380409445431420366768485983345255578929333695326959166472782182054660413840918821724847446751396778810717606046028125533843757811832153067863026335286487842994543681127040005559122446709130541217168186429078033188939543988973512439319263139956971621553229661398187634203876246196457850280453219852299166193198856770326549046245443855443327659074598629613124650306971865349089542254346009722463248398422904452056785459541831565160086136024602396770309022050479484378555146655790151698541748047230467467667325421192286820656381971055672186796645711481100168836494341412687820820248035334931559515815084837088446596186096141490726656961558876479600225490522942226711247499879751486681873182977870436601868286913172739987775271034438780232014321646555299582094158931490188789367142800039812767661697763796147186915940161557325281132921441308400351526262990100489317942979111643121012595250209873817726245250728543257442886582563821986577207357642718773858259273503337225740932914974271129744626783710351894446310346194040859001432731281091783329891912603952966719028986381011279663684694308270046385897043021900731753585586375373960699828832497799574512908561399193630592688928187740889254406749116674808404038937312377365302028082136999799822796001773502098731766237681109943739697626253001183790806320389088279221270118472278363760508080927386057568713643112569140755419390076455750961238122490124384244723634832922985362360639240186999412613086064758469646151217882218914280940979972081461338036421536995230722371396504827739925109711521}
30169  466482112009991919489836123188187084535186039716078018952003756362973728780658455604891: {30169,452415,482576,542898,2621919,4246779,4670615,4787967,4852379,5604738,6116999,6299051,6660719,6931970,7443839,8318364,8738570,9009767,9065819,9181415,9648939,9704114,9732959,10082495,10486284,10983215,11017698,11170439,11271986,12098994,12341919,12432539,12597266,12951170,13179858,13320554,13863020,14487239,14955227,15247298,15375479,15541404,15957770,16033948,16635624,16833167,17288306,17416874,17740091,17760770,18396599,18715077,19149324,19814354,20195087,20373964,20740967,21169439,21312924,21364610,21457659,21672539,21964970,22009679,22177067,22542476,22659815,22905640,23084399,23454911,24516866,24697580,25622759,25637532,25768845,26207519,26258367,26357964,26881979,27067991,27134615,27191778,27486768,28306220,28486898,28692328,29637096,29771404,29771867,29908466,30307679,30922614,30960770,31041579,31132706,31204367,31303559,31721627,31745426,32065768,32100458,32278869,32300519,32561538,33191138,33341733,33732011,33967464,34479016,34873151,35100098,36073989,36316679,37152924,37468466,37530959,37568699,37882154,37904399,38213397,38253287,38427225,38788893,38811304,39065906,39501867,40028799,40745224,40989040,41971946,42281615,42503426,42576599,42726380,42941138,42945225,43662717,43842587,44351186,44719370,44761467,45136571,45316610,45648047,45808240,45838377,46112670,46716815,47534354,47871599,48104594,49186848,49373615,49577879,50382376,50476727,50643338,50737938,51271656,51405676,51534270,51880970,51979425,52610367,53131899,53275144,53526380,53663244,53669570,53794545,54234794,54323852,54379932,54702285,54969888,55073186,55335204,55444720,56060178,56450716,56680173,56774258,57380848,57595629,57680613,58349104,58775927,58801979,59190299,59248338,59394668,59934537,60362546,60410667,60719180,61841124,62257164,62375310,62404586,62406568,62457467,62602946,63731804,64041125,64145906,64231656,64403484,64553454,64643865,64893218,64985627,65069714,65106119,65580251,65583867,65642742,66533664,67323724,67431767,67459538,67870247,67906220,68566225,68953456,69506987,70207389,70920719,71570666,72052706,72109610,72260613,72512104,72790059,72863016,73361858,73436680,73614491,73816059,74850372,74894939,75865467,76578117,76724999,76849350,77511215,77572638,77779079,78123839,78675980,79246888,79259051,79309967,80341484,80643880,80770706,81189359,81224605,81487464,81576117,81970893,81972640,82028066,82279470,82616265,83099519,83539127,83580225,83590754,83901026,83965610,84161469,84523065,84557570,84666508,85182839,85358495,86531532,86599979,87646727,87679346,87764768,88124016,88595967,89092679,89102379,89152240,89152749,89345704,89432780,90157936,90724365,91047407,91164425,91290026,91338779,91673397,92219220,92836610,92952119,93013458,94411176,95136059,95448652,95986345,96169467,96772656,97103656,97114425,97469526,97621874,97951750,98295479,98367168,98376604,98735364,99139518,99440488,99527099,...,11383510108504122170340010209005958810214905974638932392351800783301452178914731094425928202994361975656258856514973990413621459232344552397318890153830609510178451979524583046501400443514149690540141516134130807935770994596954245976077662319031545529281745714346269085546618830952579891343562386623450032855651839472926647635933788873848965147332173285898030347170367546595791025263472596067164710379589654496867919739274485129023418220198663199816432184596822709090222803641504641365472029365310894088110624431022433514389995849164305306379526295046231240535878150073652239711338336215737319356945217396107710862282561165855050235010200160135881861170410327638289579403771843178824846496308997102396414850939158961115501511012751909933441656794463459754446147883922258240511030747072941860750019129413444117384378734687920096122107507024690825573440331415153133669919705101707328160683587041437180825467939841787046472503970569516761550406659751772507346640906256533653301527749174811999646569166979126221238751224475005724196551613070998053685786188985966782083855448427617047962087509075200066563929784663033404129668700101781747554366965901273929458599583279515465535982799601280769033168847230060751350228092952255495574775843720600171230542807831308107249174800746183987806998925418222709134546520775685833514195080389033510727327956079558679862685712221540563646985161173089101869169896358960745613149345099727811033294606817226038138879059648190481388591279206422455579574091016862767380773502076012867058160525892018694059977092937206430666828056694780832923672680548993512829576587255536943914393383434558566060726298366666131484652236915941066277050745698287501341516403158170102030738879225051696843539219809069283837402869516338038723258430795547975719474420738426176237507520837359020401774710123750110522359661168601395816329354840223307047797343999221779181018532253551037016114168305215299997189669032270719708116509483552737134453953286913839336414911709074474653045153481971414545276411887329843600057043268669382780236932698926254791581372097567087375437537771093206743645528240328996560073011257988175407954296931347903779405771877295115130657466194221125197865832981881499136749650145177267666394861670344487247812379430039947810244832951546225777204927565657795472466196186587843033861063971797911866757397342817646820416855337182801040059855810975636470858039902115670451821678353438201735835293342646024658258234668323852843447876746216483127648139888859498278744694402073836447409788291813408124497671173089304809689148123074738473857722095481891451639196032056170511181153986889258896257057871184531664085689945582528350860479785833739872474758509111404609543788398823510020807838156254606093170661419785751470357445469528297057021416731496213499714472220831160373025215578872099470553599768334863235680825611200464449662254160648536091526573389443094010226669569206331505630174738423093342338240712762304889752857298927674796569716497432020005083569530332565705046211470124699377562732693081362951459944701764026870648779279259048982026909377048138666116269535841847487715703648422917076357992209669304350695768129509804060976343570676189042934201723867247446178124927247430505037077020329214521009111475855937023339384733283031579228507212593908560489024647977793674105239111593769278888630376242739547218454558428966463262335195705080956808061370834045125010415776204090484035113715317123992724908169386674078829928945507388289557581905437377585252725318631349919092350853275962162070972881864250178938501661595277133707270959803065554924265142360435398728327258473924436878766131506150832867075962487132119389672461346296617664531230539269409047279389108753546781514699469862360412029400639312504740195541053535598055664062973956623556433894923049094208509294740896249062194281974800225115325788550250427760330713779908746021086779782784595461581461521987635542615411835306133633987363922968948329999839668648909164243970493915469157715884230319983700361379251706976019095528740399442792211908653585052489523733386417023548930351728196249221253548743100374843895255077867135368350653467319090590638815524161350127000279831756968327000971391009923848776751762648769609810190291698477679031337782967654577219965694839659502378280469192595080461592054478668576975041455711106522550138603955625371981841348372884912925744360061847862724029200975671447448500498614266438443330399432683878081865591507456918570916987852339208998822233077872051916416503153736037442849333066430394669031336131642354983574813258319596835004001578387741760518784372295026824629704485014010774569848076758284857483425521007225853435274334614984163320165845659631513110563980483147518986915999216817448086344626194868290509625219041254639962775281784048562049326974296495195339770319900146282028}
30170  467928332331454409479727747129617577507230179377303461783307982229987750955862123991914: {422254,603220,723864,814347,934309,1114921,1748062,1836649,1868494,2016901,2197081,2377189,3495892,3552862,4273774,4712041,4754062,5428009,5662372,5833774,6321349,6383956,6552862,6678181,7472984,8348062,8407107,9167941,9423454,10053721,10397955,10736062,10937701,11091152,12172249,12477546,12865252,13107855,13981712,14424814,14455621,14556171,14690264,14805829,15018334,15729426,16029289,16131992,16455892,16526547,16901029,16907979,17328775,17573144,17770969,18148491,18895899,18925534,18985861,19426755,19752094,19769787,19980831,20042435,20721872,20794530,20813662,21405061,21577321,22180832,22580062,22609369,22870947,23124421,23312106,23936655,24050922,24152581,24342862,24953436,25105787,25178149,25467455,25532432,25860421,25932459,26125311,26641155,26881669,28057547,28178095,28417232,28610212,28632050,28723986,28916389,29085481,29609662,29721531,30098521,30169139,30267109,30560946,30871975,31108969,31781161,31969386,32046915,32947455,32986654,33456601,33683662,33813714,33959891,34183376,34358460,34728094,35011156,35143952,35382775,35423662,35539534,35652071,35790121,35865410,36122329,36255704,36649024,36775299,37046370,37214255,37275694,37282789,37613701,37853614,38274661,38456298,39516128,39536946,39757609,40082210,40112347,40250629,40787667,41230152,41388772,41562181,41889349,42459330,42542821,42730347,43038492,43098770,43415384,43496062,44084579,44171461,44333929,44455644,44528254,44657106,44820901,44862699,45145189,45215662,45289952,45631081,46277929,46383921,46441155,46615751,46699059,47246041,47618139,48098652,48150687,48187774,48211561,48514130,48644062,48842307,49014181,49494889,49537232,49786707,49974949,50208242,50239054,50454361,50614021,50931530,50951196,51055466,51236300,51603694,51718524,52650147,52669156,52683049,53000281,53371732,53407975,54605747,54778894,55055269,55344574,55729386,55999621,56017247,56202699,56474734,56823231,57039214,57260300,58216956,58505221,58598859,58661209,59284441,59518174,59681956,60061861,60080494,60334274,60530062,61117836,61483560,61611301,62845669,62957919,62977970,63307369,63446014,63448091,63755139,63768421,64089570,64257095,64411707,64452862,65300581,65582464,65911429,66063961,66526779,66593930,66797134,66907975,67079055,67585321,67650584,67904815,67974915,68362208,68494681,68712360,69169005,69305900,69341027,70147156,70155109,70563395,70842532,71301531,71550992,71726060,72156891,72506576,72792862,72936380,73293184,73747621,73780272,73896409,74243335,74450062,74490841,74746904,74891374,75111934,75573564,75898975,75965007,76106907,76709701,76794172,76907484,77108514,77301405,77445721,77821455,78008210,78177491,78412654,78766021,78888194,78997784,79497001,79664755,79912716,80289570,80494866,80504355,80547556,81042862,81352191,81485778,81569898,82454832,82609779,82682062,82980649,83002806,83009552,83124901,83167080,83413189,84090267,84132649,84154655,84426574,84676074,84882775,84965699,84970894,85161387,85642208,85871312,85949662,86071272,86191820,86601454,86707801,87010427,87445156,87523656,88661662,88711552,88835941,88872507,89092002,89400709,89851774,90543819,90640130,91078770,91255774,91788121,91795850,91902862,92346841,92441662,92549374,92625769,92761686,92872414,93385746,93562965,93606879,93609852,93904419,94016089,94798418,95129662,95597706,95950441,96218859,96347484,96363109,96605226,96830181,97053412,97150688,97323481,97339827,97604571,97733989,97914574,98344975,98421412,98464113,98689321,98782187,98825509,99058610,99690899,99800496,99942862,...,17075265162756183255510015313508938215322358961958398588527701174952178268372096641638892304491542963484388284772460985620432188848516828595978335230745914265267677969286874569752100665271224535810212274201196211903656491895431368964116493478547318293922618571519403628319928246428869837015343579935175049283477759209389971453900683310773447720998259928847045520755551319893686537895208894100747065569384481745301879608911727693535127330297994799724648276895234063635334205462256962048208044047966341132165936646533650271584993773746457959569289442569346860803817225110478359567007504323605979035417826094161566293423841748782575352515300240203822791755615491457434369105657764768237269744463495653594622276408738441673252266519127864900162485191695189631669221825883387360766546120609412791125028694120166176076568102031880144183161260537036238360160497122729700504879557652560992241025380562155771238201909762680569708755955854275142325609989627658761019961359384800479952291623762217999469853750468689331858126836712508586294827419606497080528679283478950173125783172641425571943131263612800099845894676994550106194503050152672621331550448851910894187899374919273198303974199401921153549753270845091127025342139428383243362163765580900256845814211746962160873762201119275981710498388127334063701819781163528750271292620583550266090991934119338019794028568332310845470477741759633652803754844538441118419724017649591716549941910225839057208318589472285722082886918809633683369361136525294151071160253114019300587240788838028041089965639405809646000242085042171249385509020823490269244364880883305415871590075151837849091089447549999197226978355373911599415576118547431252012274604737255153046108318837577545265308829713603925756104304274507058084887646193321963579211631107639264356261281256038530602662065185625165783539491752902093724494032260334960571696015998832668771527798380326555524171252457822949995784503548406079562174764225329105701680929930370759004622367563611711979567730222957121817914617830994765400085564903004074170355399048389382187372058146350631063156306656639810115468292360493494840109516886982263111931445397021855669108657815942672695986199291331687796798749472822248705124475217765901499592292505516730871718569145059921715367249427319338665807391348486693208699294279881764550791595957696867800136096014226470230625283005774201560089783716463454706287059853173505677732517530157302603752940013969036987387352002485779265171815119324724691472209833289247418117041603110754671114682437720112186746506759633957214533722184612107710786583143222837177458794048084255766771730980333888344385586806776797496128534918373792526290719678750609808712137763667106914315682598235265031211757234381909139755992129678627205536168204292445585532125097244320249571708331246740559537823368308149205830399652502294853521238416800696674493381240972804137289860084164641015340004353809497258445262107634640013507361069143457334629285948391512194854574746148030007625354295498848557569317205187049066344099039622044427189917052646040305973168918888573473040364065572207999174404303762771231573555472634375614536988314503956526043652194264706091464515356014283564401302585800871169267187390871145757555615530493821781513667213783905535009077099924547368842760818890862840733536971966690511157858667390653918332945564364109320827681837643449694893502793557621435212092056251067687515623664306135726052670572975685989087362254080011118244893418261082434336372858156066377879087977947024878638526279913943243106459322796375268407752492392915700560906439704598332386397713540653098092490887710886655318149197259226249300613943730698179084508692019444926496796845808904113570919083663130320172272049204793540618044100958968757110293311580303397083496094460934935334650842384573641312763942111344373593291422962200337672988682825375641640496070669863119031630169674176893192372192282981453313923117752959200450981045884453422494999759502973363746365955740873203736573826345479975550542068877560464028643293110599164188317862980377578734285600079625535323395527592294373831880323114650562265842882616800703052525980200978635885958223286242025190500419747635452490501457086514885773165127643973154414715285437547716518547006674451481865829948542259489253567420703788892620692388081718002865462562183566659783825207905933438057972762022559327369388616540092771794086043801463507171172750747921399657664995599149025817122798387261185377856375481778508813498233349616808077874624754730604056164273999599645592003547004197463532475362219887479395252506002367581612640778176558442540236944556727521016161854772115137427286225138281510838780152911501922476244980248768489447269665845970724721278480373998825226172129516939292302435764437828561881959944162922676072843073990461444742793009655479850219423042}
30171  469379010263036047242306521951141843970142875204217271018759399766294520016260253619626: {60338,633381,754025,904830,965152,1085796,2622093,2802741,4369865,5243838,5329293,6410661,6538861,7077965,7131093,7444333,7624661,7979945,8493558,8709593,8750661,9341230,9575934,9704758,9829293,10878013,11209476,12233998,12522093,12598102,12853981,13321438,13583669,13863940,14115493,14135181,14887678,15376501,15568421,16081565,16104093,16636728,17477140,18019534,18131638,18362830,18716319,19297878,19408228,19465918,20089373,20164990,20569865,20972568,20988761,21637221,21966430,22035396,22340878,22527501,22543972,23499509,23594139,23866921,24197988,24599053,24683838,24865078,25194532,25325033,25902340,26209261,26359716,26641108,27726040,28388301,28934749,28974478,29439509,29628141,29910454,30494596,30750958,31082808,31191795,31220493,31723741,31915540,32067896,33271248,33395549,33666334,33870093,34528141,34576612,34833748,34875469,34968159,35480182,35521540,35762765,36076383,36514293,36793198,37348421,37430154,37988461,38298648,39628708,40119301,40390174,40747928,40830773,41202793,41481934,42338878,42430181,42625848,42729220,42915318,42948075,43085979,43271789,43345078,43763945,43929940,44019358,44354134,44414493,45084952,45319630,45811280,45841419,46168798,46246793,46909822,47874781,47954079,49033732,49188029,49395160,49479981,50525493,50579609,50720571,51245518,51275064,51537690,51735965,52092141,52415038,52516734,52715928,53135493,53309301,53763958,53798115,54135982,54269230,54383556,54655493,54973536,55569555,55913541,56612440,56780421,56973796,57384656,57684447,59194261,59274192,59305419,59542808,59543734,59816932,60123315,60615358,61530773,61845228,61916189,61921540,62083158,62265412,62408734,62607118,63443254,63490852,63688995,64045375,64131536,64200916,64557738,64601038,64648155,65123076,65244093,65403541,65836445,66382276,66683466,66714665,66792381,66985659,67464022,67823493,67934928,68958032,69123061,69746302,69799181,70200196,71575375,72147978,72281661,72352013,72633358,72741749,72771195,72966093,74305848,74602445,74906861,74936932,75061918,75137398,75312363,75358581,75764308,75808798,76397295,76426794,76506574,76583199,76702901,76854450,77405541,77503933,77577786,77622608,78131812,78662309,79003734,79264333,80057598,81490448,81978080,82144621,82168341,83016861,83594079,83943892,84563230,84712101,85006852,85153198,85452760,85558821,85882276,85890450,86632375,87325434,87501749,87683945,87685174,88553165,88702372,89277261,89438740,89522934,89657575,90120741,90273142,90501411,90633220,90795093,91170475,91296094,91616480,91676754,92225340,92355989,92875933,93433630,93729961,93994493,94466955,94564661,95068708,95169021,95743198,95992715,96134355,96209188,96261341,96679293,98373696,98405033,98747230,99155758,99890895,...,25612897744134274883265022970263407322983538442937597882791551762428267402558144962458338456737314445226582427158691478430648283272775242893967502846118871397901516953930311854628150997906836803715318411301794317855484737843147053446174740217820977440883927857279105442479892369643304755523015369902762573925216638814084957180851024966160171581497389893270568281133326979840529806842813341151120598354076722617952819413367591540302690995446992199586972415342851095453001308193385443072312066071949511698248904969800475407377490660619686939353934163854020291205725837665717539350511256485408968553126739141242349440135762623173863028772950360305734187633423237186151553658486647152355904616695243480391933414613107662509878399778691797350243727787542784447503832738825081041149819180914119186687543041180249264114852153047820216274741890805554357540240745684094550757319336478841488361538070843233656857302864644020854563133933781412713488414984441488141529942039077200719928437435643326999204780625703033997787190255068762879442241129409745620793018925218425259688674758962138357914696895419200149768842015491825159291754575229008931997325673277866341281849062378909797455961299102881730324629906267636690538013209142574865043245648371350385268721317620443241310643301678913972565747582191001095552729671745293125406938930875325399136487901179007029691042852498466268205716612639450479205632266807661677629586026474387574824912865338758585812477884208428583124330378214450525054041704787941226606740379671028950880861183257042061634948459108714469000363127563256874078263531235235403866547321324958123807385112727756773636634171324998795840467533060867399123364177821146878018411907105882729569162478256366317897963244570405888634156456411760587127331469289982945368817446661458896534391921884057795903993097778437748675309237629353140586741048390502440857544023998249003157291697570489833286256878686734424993676755322609119343262146337993658552521394895556138506933551345417567969351595334435682726871926746492148100128347354506111255533098572584073281058087219525946594734459984959715173202438540740242260164275330473394667897168095532783503662986723914009043979298936997531695198124209233373057686712826648852249388438758275096307577853717589882573050874140979007998711087022730039813048941419822646826187393936545301700204144021339705345937924508661302340134675574695182059430589779760258516598776295235953905629410020953555481081028003728668897757722678987087037208314749933871127175562404666132006672023656580168280119760139450935821800583276918161566179874714834255766188191072126383650157596470500832516578380210165196244192802377560688789436079518125914713068206645500660371473523897352897546817635851572863709633988194517940808304252306438668378298187645866480374357562496870110839306735052462223808745599478753442280281857625201045011740071861459206205934790126246961523010006530714245887667893161451960020261041603715186001943928922587268292281862119222045011438031443248272836353975807780573599516148559433066640784875578969060458959753378332860209560546098358311998761606455644156847360333208951563421805482471755934789065478291397059137196773034021425346601953878701306753900781086306718636333423295740732672270500820675858302513615649886821053264141228336294261100305457950035766736788001085980877499418346546163981241522756465174542340254190336432152818138084376601531273435496459203589079005859463528983631043381120016677367340127391623651504559287234099566818631966920537317957789419870914864659688984194562902611628738589373550841359659556897498579596570310979647138736331566329982977223795888839373950920915596047268626763038029167389745195268713356170356378625494695480258408073807190310927066151438453135665439967370455095625244141691402403001976263576860461969145913167016560389937134443300506509483024238063462460744106004794678547445254511265339788558288424472179970884676629438800676471568826680133742499639254460045619548933611309805604860739518219963325813103316340696042964939665898746282476794470566368101428400119438302985093291388441560747820484671975843398764323925201054578788970301467953828937334929363037785750629621453178735752185629772328659747691465959731622072928156321574777820510011677222798744922813389233880351131055683338931038582122577004298193843275349989675737811858900157086959143033838991054082924810139157691129065702195260756759126121882099486497493398723538725684197580891778066784563222667763220247350024425212116811937132095906084246410999399468388005320506296195298713043329831219092878759003551372418961167264837663810355416835091281524242782158172706140929337707422266258170229367252883714367470373152734170904498768956087081917720560998237839258194275408938453653646656742842822939916244384014109264610985692167114189514483219775329134563}
30172  470834159464268792695244188113466198184121345626467646883302980102690187717762687795974: {90507,331771,844508,1206440,1357245,1447728,1596307,1628694,1776667,1868618,2229842,2497387,3037171,3396667,3496124,3673298,3736988,4033802,4394162,4754378,6991784,7105724,7510171,7865757,8547548,8754547,9424082,9508124,10526107,10856018,11324744,11409187,11667548,12466507,12642698,12740337,12767912,12818371,13105724,13345627,13356362,14011845,14363901,14557137,14923507,14945968,15098467,16696124,16814214,17329925,17714227,18335882,18350997,18846908,18897153,18929371,19982157,20107442,20795910,21176707,21472124,21846425,21865747,21875402,22182304,22331517,22381771,22725427,23754667,24260285,24344498,24610387,24955092,25730504,26215710,27029301,27166747,27197457,27506371,27544245,27963424,28059409,28179965,28354171,28849628,28911242,28946817,29112342,29198877,29380528,29611658,29706907,30036668,30247485,30550027,31458852,31493165,32058578,32230867,32263984,32377925,32911784,32949645,33053094,33301385,33403171,33511317,33737467,33802058,33815958,34571947,34657550,35146288,35404627,35541938,35654437,36296982,37025757,37297617,37561171,37791798,37851068,37971722,38118245,38853510,39449333,39504188,39539574,39894425,39961662,40084870,40115009,41443744,41589060,41627324,42810122,43154642,43220765,43306771,43461717,43542185,43632427,44361664,44401925,44445307,44865681,45160124,45218738,45741894,45742171,46065667,46126437,46248842,46624212,47405501,47873310,48101844,48305162,48643267,48685724,49284787,49535885,49906872,50211574,50356298,50499501,50934910,51064864,51680227,51720842,51864918,52099957,52250622,53220273,53282310,53411525,53426587,53763338,54912425,55189797,56115094,56145231,56356190,56834464,57220424,57264100,57447972,57832778,57988867,58170962,59219324,59443062,60014371,60197042,60324907,60338278,60534218,60585261,61121892,61292165,61743950,61983581,62217938,62222901,63508317,63562322,63938772,64093830,64372977,65017617,65894910,65973308,66029037,66170371,66202201,66475147,66531201,66627427,66913202,67235827,67367324,67627428,67919782,67979445,68366752,68716920,69253197,69456188,70022312,70287904,70364733,70765550,70847324,71079068,71217245,71304142,71462371,71580242,71730820,72211171,72244658,72510187,72511408,73256467,73298048,73550598,74000947,74092740,74428510,74551388,74565578,74771165,75188371,75227402,75707228,76549322,76868277,76912596,77306535,77401925,77696347,77831765,78622557,78775101,79032256,79073892,79363565,79515218,80164420,80224694,80251145,80501258,80645937,81203973,81403845,81575334,82460304,82777544,82977845,83124362,83778698,84918660,85085642,85460694,86076984,86096371,86197540,86809171,86830768,86992124,87520171,87750245,88169158,88342922,88667858,88911288,89056508,89219227,89314212,89315601,89641802,89725398,89959933,90064867,90290378,90346171,90431324,90579904,90767587,90923037,91262162,91328467,92167627,92446771,92555858,92767842,92882310,93124737,93143371,93231502,93398118,93613101,93671165,93910677,94254187,94492082,94705385,95066741,95164881,95222371,95236278,96197304,96301374,96375548,96423122,96836607,96901557,97011067,97028260,97285171,97288124,97664765,97684614,98028362,98788753,98989778,99074464,99573414,99739147,99949898,...,34150530325512366511020030627017876430644717923916797177055402349904356536744193283277784608983085926968776569544921971240864377697033657191956670461491828530535355938573749139504201330542449071620424548402392423807312983790862737928232986957094636587845237143038807256639856492857739674030687159870350098566955518418779942907801366621546895441996519857694091041511102639787373075790417788201494131138768963490603759217823455387070254660595989599449296553790468127270668410924513924096416088095932682264331873293067300543169987547492915919138578885138693721607634450220956719134015008647211958070835652188323132586847683497565150705030600480407645583511230982914868738211315529536474539488926991307189244552817476883346504533038255729800324970383390379263338443651766774721533092241218825582250057388240332352153136204063760288366322521074072476720320994245459401009759115305121984482050761124311542476403819525361139417511911708550284651219979255317522039922718769600959904583247524435998939707500937378663716253673425017172589654839212994161057358566957900346251566345282851143886262527225600199691789353989100212389006100305345242663100897703821788375798749838546396607948398803842307099506541690182254050684278856766486724327531161800513691628423493924321747524402238551963420996776254668127403639562327057500542585241167100532181983868238676039588057136664621690940955483519267305607509689076882236839448035299183433099883820451678114416637178944571444165773837619267366738722273050588302142320506228038601174481577676056082179931278811619292000484170084342498771018041646980538488729761766610831743180150303675698182178895099998394453956710747823198831152237094862504024549209474510306092216637675155090530617659427207851512208608549014116169775292386643927158423262215278528712522562512077061205324130371250331567078983505804187448988064520669921143392031997665337543055596760653111048342504915645899991569007096812159124349528450658211403361859860741518009244735127223423959135460445914243635829235661989530800171129806008148340710798096778764374744116292701262126312613313279620230936584720986989680219033773964526223862890794043711338217315631885345391972398582663375593597498945644497410248950435531802999184585011033461743437138290119843430734498854638677331614782696973386417398588559763529101583191915393735600272192028452940461250566011548403120179567432926909412574119706347011355465035060314605207505880027938073974774704004971558530343630238649449382944419666578494836234083206221509342229364875440224373493013519267914429067444369224215421573166286445674354917588096168511533543461960667776688771173613553594992257069836747585052581439357501219617424275527334213828631365196470530062423514468763818279511984259357254411072336408584891171064250194488640499143416662493481119075646736616298411660799305004589707042476833601393348986762481945608274579720168329282030680008707618994516890524215269280027014722138286914669258571896783024389709149492296060015250708590997697115138634410374098132688198079244088854379834105292080611946337837777146946080728131144415998348808607525542463147110945268751229073976629007913052087304388529412182929030712028567128802605171601742338534374781742291515111231060987643563027334427567811070018154199849094737685521637781725681467073943933381022315717334781307836665891128728218641655363675286899389787005587115242870424184112502135375031247328612271452105341145951371978174724508160022236489786836522164868672745716312132755758175955894049757277052559827886486212918645592750536815504984785831401121812879409196664772795427081306196184981775421773310636298394518452498601227887461396358169017384038889852993593691617808227141838167326260640344544098409587081236088201917937514220586623160606794166992188921869870669301684769147282625527884222688747186582845924400675345977365650751283280992141339726238063260339348353786384744384565962906627846235505918400901962091768906844989999519005946727492731911481746407473147652690959951101084137755120928057286586221198328376635725960755157468571200159251070646791055184588747663760646229301124531685765233601406105051960401957271771916446572484050381000839495270904981002914173029771546330255287946308829430570875095433037094013348902963731659897084518978507134841407577785241384776163436005730925124367133319567650415811866876115945524045118654738777233080185543588172087602927014342345501495842799315329991198298051634245596774522370755712750963557017626996466699233616155749249509461208112328547999199291184007094008394927064950724439774958790505012004735163225281556353116885080473889113455042032323709544230274854572450276563021677560305823003844952489960497536978894539331691941449442556960747997650452344259033878584604871528875657123763919888325845352145686147980922889485586019310959700438846084}
30173  472293793636298054139991592357312280850204589838975972942503306902690095947721258016184: {120676,1055635,1266762,1508050,1809660,1930304,2171592,2443041,2802927,3344763,4370155,4671235,5244186,5509947,5605482,6050703,6117811,6591243,7131567,7625167,8710171,8739730,8882155,9010963,9612427,9734251,9909151,10487676,10658586,10684435,11171923,11782003,11885155,12821322,13077722,14136123,14155930,14246287,14262186,14584435,14888666,15249322,15959890,16053427,16284027,16382155,16987116,17419186,17501322,17553547,18399043,18682460,18944851,18964047,19151868,19409516,19536847,19658586,20034543,20870155,21474847,21756026,22012603,22418952,22514191,23458027,23501071,23558635,24057091,24161467,24467996,25044186,25196204,25221321,25626163,25707962,26642876,26840155,27071587,27122803,27167338,27503823,27727880,27772147,28230986,28270362,28392787,28797811,29775356,30161163,30187291,30753002,31136842,31193865,32163130,32208186,32541343,32813103,33273456,34056847,34271371,34792147,34954280,35792467,36039068,36062035,36263276,36516747,36688243,36725660,37432638,37545835,38595756,38816456,38931836,39323565,39467467,40178746,40329980,40833487,41022211,41139730,41945136,41977522,42214867,43274442,43366863,43668513,43932860,44070792,44139043,44417487,44681756,45055002,45087944,46249867,46999018,47188278,47313835,47421967,47733842,48087867,48395976,49191307,49198106,49367676,49380235,49436227,49567291,49579641,49730156,49848271,50067871,50389064,50582971,50650066,50703087,50723937,51139387,51804680,51986325,52034155,52324771,52418522,52719432,53046907,53282216,53312907,54445473,54639007,55452080,55677091,56450155,56687697,56776602,56957583,57069067,57869498,57948956,58131307,58280265,58879018,59036527,59256282,59309361,59820908,59942493,60127305,60857155,60989192,61085551,61269523,61501916,62165616,62383590,62440986,63447482,63660307,63831080,64135792,64215183,64731963,64832611,66186271,66542496,66791098,67332668,67740186,67828107,68612841,69056282,69153224,69373263,69667496,69750938,69936318,70960364,71043080,71181343,71525530,71580125,71809965,72152766,72430351,72457743,73028586,73586396,74024155,74696842,74860308,75207571,75317361,75534447,75976922,76290127,76402365,76597296,77341807,77581263,77797377,78375933,79257416,79320571,79923465,80238602,80645007,80780348,81495856,81661546,82405586,82466635,82963868,84172641,84209155,84522211,84534285,84677756,84860362,85138771,85251696,85458440,85830636,85896150,86171958,86543578,86690156,86749167,86820235,87256443,87527890,87859880,88038716,88180003,88559155,88708268,88828986,88848835,89164593,89663525,89966587,90169904,90295563,90507417,90639260,90648883,90801327,91622560,91682838,91770127,92171023,92337596,92362171,92493586,92615925,92964547,93013327,93189235,93326907,93400531,93819644,94570963,94634035,94655791,95343483,95749562,95908158,95945167,96140745,97180747,98067464,98376058,98790320,98842365,98944771,98959962,...,51225795488268549766530045940526814645967076885875195765583103524856534805116289924916676913474628890453164854317382956861296566545550485787935005692237742795803033907860623709256301995813673607430636822603588635710969475686294106892349480435641954881767855714558210884959784739286609511046030739805525147850433277628169914361702049932320343162994779786541136562266653959681059613685626682302241196708153445235905638826735183080605381990893984399173944830685702190906002616386770886144624132143899023396497809939600950814754981321239373878707868327708040582411451675331435078701022512970817937106253478282484698880271525246347726057545900720611468375266846474372303107316973294304711809233390486960783866829226215325019756799557383594700487455575085568895007665477650162082299638361828238373375086082360498528229704306095640432549483781611108715080481491368189101514638672957682976723076141686467313714605729288041709126267867562825426976829968882976283059884078154401439856874871286653998409561251406067995574380510137525758884482258819491241586037850436850519377349517924276715829393790838400299537684030983650318583509150458017863994651346555732682563698124757819594911922598205763460649259812535273381076026418285149730086491296742700770537442635240886482621286603357827945131495164382002191105459343490586250813877861750650798272975802358014059382085704996932536411433225278900958411264533615323355259172052948775149649825730677517171624955768416857166248660756428901050108083409575882453213480759342057901761722366514084123269896918217428938000726255126513748156527062470470807733094642649916247614770225455513547273268342649997591680935066121734798246728355642293756036823814211765459138324956512732635795926489140811777268312912823521174254662938579965890737634893322917793068783843768115591807986195556875497350618475258706281173482096781004881715088047996498006314583395140979666572513757373468849987353510645218238686524292675987317105042789791112277013867102690835135938703190668871365453743853492984296200256694709012222511066197145168146562116174439051893189468919969919430346404877081480484520328550660946789335794336191065567007325973447828018087958597873995063390396248418466746115373425653297704498776877516550192615155707435179765146101748281958015997422174045460079626097882839645293652374787873090603400408288042679410691875849017322604680269351149390364118861179559520517033197552590471907811258820041907110962162056007457337795515445357974174074416629499867742254351124809332264013344047313160336560239520278901871643601166553836323132359749429668511532376382144252767300315192941001665033156760420330392488385604755121377578872159036251829426136413291001320742947047794705795093635271703145727419267976389035881616608504612877336756596375291732960748715124993740221678613470104924447617491198957506884560563715250402090023480143722918412411869580252493923046020013061428491775335786322903920040522083207430372003887857845174536584563724238444090022876062886496545672707951615561147199032297118866133281569751157938120917919506756665720419121092196716623997523212911288313694720666417903126843610964943511869578130956582794118274393546068042850693203907757402613507801562172613437272666846591481465344541001641351716605027231299773642106528282456672588522200610915900071533473576002171961754998836693092327962483045512930349084680508380672864305636276168753203062546870992918407178158011718927057967262086762240033354734680254783247303009118574468199133637263933841074635915578839741829729319377968389125805223257477178747101682719319113794997159193140621959294277472663132659965954447591777678747901841831192094537253526076058334779490390537426712340712757250989390960516816147614380621854132302876906271330879934740910191250488283382804806003952527153720923938291826334033120779874268886601013018966048476126924921488212009589357094890509022530679577116576848944359941769353258877601352943137653360267484999278508920091239097867222619611209721479036439926651626206632681392085929879331797492564953588941132736202856800238876605970186582776883121495640969343951686797528647850402109157577940602935907657874669858726075571501259242906357471504371259544657319495382931919463244145856312643149555641020023354445597489845626778467760702262111366677862077164245154008596387686550699979351475623717800314173918286067677982108165849620278315382258131404390521513518252243764198972994986797447077451368395161783556133569126445335526440494700048850424233623874264191812168492821998798936776010641012592390597426086659662438185757518007102744837922334529675327620710833670182563048485564316345412281858675414844532516340458734505767428734940746305468341808997537912174163835441121996475678516388550817876907307293313485685645879832488768028218529221971384334228379028966439550658269126}
30174  473757926522008724039820488505728819287304156251330995413072916768576835215969208696303: {150845,181014,392093,663542,1115069,1235453,1689016,1836893,1900143,2137313,2262075,2412880,2497553,2714490,2895456,3097313,3192614,3257388,3553334,3737236,3815969,4459684,4891793,4994774,5726753,6074342,6793334,6797969,6992248,7346596,7473976,7688669,7866279,8067604,8408223,8755133,8788324,9169169,9287393,9508756,10055069,12526013,12877853,13109595,13580669,13983568,14211448,14574353,14924513,15020342,15731514,15987879,16031453,16670993,17095096,17367569,17509094,17541533,17773373,17947169,18848164,18988433,19016248,19103969,19231983,19616583,19854173,20372753,20660573,21052214,21233895,21393279,21712036,22096673,22332999,22649488,22726973,22818374,22873983,23127569,23335096,23353075,23813393,23939835,24261895,24269969,24933014,25285396,25295393,25480674,25535824,25636742,25693469,25977569,26128779,26211448,26251983,26691254,26712724,27847613,28023690,28243169,28694753,28727802,29114274,29487879,29765213,29847014,29891936,30196934,30584995,30608273,31495255,31897469,32634039,33303595,33392248,33405473,33461213,33628428,33964399,34659850,35129693,35428454,36671764,36701994,37219195,37566279,37618913,37693816,37729169,37794306,37858742,38561943,39214493,39379169,39451951,39763133,39964314,40214884,40751007,40912673,41591820,41677073,42222113,42346479,42353414,42405543,42657569,42944248,43309793,43692850,43731494,43750804,43852433,44090431,44177633,44364608,44448413,44663034,44763542,44827169,44935313,45048835,45259553,45329095,45450854,45745373,45907075,46129503,46445969,46621939,46705263,46715069,47252669,47408647,47509334,48244695,48312279,48325469,48520570,48664795,48688996,49220774,49501853,49910184,50412475,50727569,51461008,51683873,52431420,52849169,53113469,53365543,54058602,54333494,54394914,54916075,55012742,55088490,55640573,55852195,55926848,56024683,56118818,56148957,56164733,56359930,56635793,56708342,57699256,57822484,57893634,57992993,58224684,58397754,58617569,58761056,59223316,59413814,60070433,60073336,60268119,60494970,60509071,60959059,61100054,61709595,61723169,61877693,62083613,62162695,62917704,62966283,62986330,63418973,63623933,64117156,64461734,64527968,64755850,64911663,65309969,65411873,65564669,65823568,65899290,65920913,66106188,66175133,66225953,66602770,66806342,66936593,67022634,67240673,67474934,67582503,67595069,67604116,67631916,67696253,68504573,68605469,69143894,69275767,69315100,69350239,69713213,70265633,70292576,70498527,70616669,70782417,70809254,71083876,71308874,71467553,71517533,71600763,72436195,72515453,72593964,72863969,73253323,73797159,73857569,74006333,74051514,74595234,74776135,75122342,75583596,75702136,75835169,75943444,75975099,76081469,76236490,76877395,77555069,77707020,78627783,78898666,79008376,79021469,79079148,79167713,79788850,79923324,80169740,80230018,80626193,82887488,83137169,83178120,83254648,83521553,84165835,85164903,85435793,85620244,85809031,85864733,86007569,86309284,86441530,86613542,86804247,86815613,86923434,87084370,87264854,87574013,87999713,88318527,88700455,88723328,88803850,88884423,88890614,88990493,89731362,90118493,90320248,90399773,90437476,90821153,91483788,91484342,91982995,92131334,92252874,92360669,92453693,92497684,92500193,93150353,93248424,93575385,93661479,93983969,94122653,94307453,94445969,94811002,95171223,95275553,95746620,95964893,96056669,96203688,96610324,97286534,97338173,97371448,97429469,98569574,99071770,99475169,99704143,99813744,...,76838693232402824649795068910790221968950615328812793648374655287284802207674434887375015370211943335679747281476074435291944849818325728681902508538356614193704550861790935563884452993720510411145955233905382953566454213529441160338524220653462932322651783571837316327439677108929914266569046109708287721775649916442254871542553074898480514744492169679811704843399980939521589420528440023453361795062230167853858458240102774620908072986340976598760917246028553286359003924580156329216936198215848535094746714909401426222132471981859060818061802491562060873617177512997152618051533769456226905659380217423727048320407287869521589086318851080917202562900269711558454660975459941457067713850085730441175800243839322987529635199336075392050731183362628353342511498216475243123449457542742357560062629123540747792344556459143460648824225672416663072620722237052283652271958009436524465084614212529700970571908593932062563689401801344238140465244953324464424589826117231602159785312306929980997614341877109101993361570765206288638326723388229236862379056775655275779066024276886415073744090686257600449306526046475475477875263725687026795991977019833599023845547187136729392367883897308645190973889718802910071614039627427724595129736945114051155806163952861329723931929905036741917697242746573003286658189015235879376220816792625976197409463703537021089073128557495398804617149837918351437616896800422985032888758079423162724474738596016275757437433652625285749372991134643351575162125114363823679820221139013086852642583549771126184904845377326143407001089382689770622234790593705706211599641963974874371422155338183270320909902513974996387521402599182602197370092533463440634055235721317648188707487434769098953693889733711217665902469369235281761381994407869948836106452339984376689603175765652173387711979293335313246025927712888059421760223145171507322572632071994747009471875092711469499858770636060203274981030265967827358029786439013980975657564184686668415520800654036252703908054786003307048180615780239476444300385042063518333766599295717752219843174261658577839784203379954879145519607315622220726780492825991420184003691504286598350510988960171742027131937896810992595085594372627700119173060138479946556748165316274825288922733561152769647719152622422937023996133261068190119439146824259467940478562181809635905100612432064019116037813773525983907020404026724085546178291769339280775549796328885707861716888230062860666443243084011186006693273168036961261111624944249801613381526687213998396020016070969740504840359280418352807465401749830754484698539624144502767298564573216379150950472789411502497549735140630495588732578407132682066368308238554377744139204619936501981114420571692058692640452907554718591128901964583553822424912756919316005134894562937599441123072687490610332517920205157386671426236798436260326840845572875603135035220215584377618617804370378740884569030019592142737663003679484355880060783124811145558005831786767761804876845586357666135034314094329744818509061927423341720798548445678299199922354626736907181376879260134998580628681638295074935996284819366932470542080999626854690265416447415267804367196434874191177411590319102064276039805861636103920261702343258920155909000269887222198016811502462027574907540846949660463159792423685008882783300916373850107300210364003257942632498255039638491943724568269395523627020762571009296458454414253129804593820306489377610767237017578390586950893130143360050032102020382174870954513677861702298700455895900761611953873368259612744593979066952583688707834886215768120652524078978670692495738789710932938941416208994698989948931671387666518121852762746788141805880289114087502169235585806140068511069135876484086440775224221421570932781198454315359406996319902111365286875732425074207209005928790730581385907437739501049681169811403329901519528449072714190387382232318014384035642335763533796019365674865273416539912654029888316402029414706480040401227498917763380136858646800833929416814582218554659889977439309949022088128894818997696238847430383411699104304285200358314908955279874165324682243461454015927530196292971775603163736366910904403861486812004788089113357251888864359536207256556889316985979243074397879194866218784468964724333461530035031668396234768440167701641053393167050016793115746367731012894581529826049969027213435576700471260877429101516973162248774430417473073387197106585782270277378365646298459492480196170616177052592742675334200353689668003289660742050073275636350435811396287718252739232998198405164015961518888585896139129989493657278636277010654117256883501794512991431066250505273844572728346474518118422788013122266798774510688101758651143102411119458202512713496306868261245753161682994713517774582826226815360960939970228528468819748733152042327793832957076501342568543449659325987403689}
30175  475226571906151594300169328349848661770123705108578728405479217880719440916546927813779: {241352,271521,995313,1477889,2111270,2533524,3016100,3619320,3860608,4071735,4343184,4671545,4788921,4886082,5330001,5574605,5605854,6118217,6539729,6689526,7492161,8740310,9011561,9111513,9183245,9342470,9734897,10084505,10190001,10275353,10488372,10879457,10985405,11019894,11210964,11360141,11885945,12101406,12235622,12435017,13168121,13182486,14263134,14958209,15250334,16639217,16836521,17420342,17479460,17764310,18021926,19224854,19468502,19818302,20199113,20418209,20745101,20975352,21173657,21317172,21368870,22181489,22343846,22530513,22935017,23089001,23560205,23564006,23597271,23770310,24163073,24602321,25642644,26155444,26263641,26887337,27140045,27773993,28272246,28311860,28492574,28524372,28554461,28938593,29168870,29218217,29777332,29777801,30313721,30498644,31210589,31578321,31606745,31919780,32106854,32306957,32568054,32764310,32982089,33390905,33738737,33974232,34227561,34273649,34838372,35002644,35107094,36798086,37364920,37399521,37538441,37576217,37889702,37928094,38221011,38260913,38303297,38303736,38455113,38819032,39073694,39317172,40036881,40069086,40249001,41740310,42035535,42217673,42949694,43091703,43512052,43671411,43851329,44025206,44770521,44837904,45028382,45295401,45657149,45839705,46916054,47002142,47117270,48114182,48322934,48935992,49439513,49851593,50088372,50268605,50392408,50442642,50486849,51252326,51415924,51989775,52328249,52564169,53050433,53142681,53285752,53680310,54143174,54245606,54334676,54688505,55007646,55052991,55398737,55455760,55544294,55634561,56461972,56540724,56691459,56785574,56788113,57595622,58135181,58911593,59550712,59696153,59946471,60322326,60374582,60861245,61506004,62227337,62273684,62387730,63530121,64326260,64416372,65082686,65539275,65597241,65626206,66239369,66546912,66994551,67145313,67445261,68050673,68113694,68176281,68542742,69132329,69584294,69770441,69908560,71264001,71584934,72078136,72124070,72278105,72459977,72526552,72780855,72847817,73033494,73376486,73451320,73831161,74029145,74546009,74865276,75091670,77191512,77632912,77863672,78647130,78876233,78934934,79030217,80146445,80357492,80659960,81087903,81500241,81592371,81666974,82044422,82279460,82519113,82632735,83890272,83955044,84178227,84429734,84505145,84539895,85062513,85200017,86548884,86643875,86733726,86840451,87337026,87596631,87862457,87865720,88141584,88278086,88834974,88854845,89120721,89363512,90110004,90175888,90351329,90742455,91650081,92499734,93019553,93742493,93998036,94355201,94376556,94479495,94627670,94843934,94929305,95155097,95467684,95951561,96175734,96692601,96791952,97133775,98382614,98396212,98554121,98735352,98760470,98848935,98872454,99134582,99159282,99460312,99696542,99904155,...,102451590976537099533060091881053629291934153771750391531166207049713069610232579849833353826949257780906329708634765913722593133091100971575870011384475485591606067815721247418512603991627347214861273645207177271421938951372588213784698960871283909763535711429116421769919569478573219022092061479611050295700866555256339828723404099864640686325989559573082273124533307919362119227371253364604482393416306890471811277653470366161210763981787968798347889661371404381812005232773541772289248264287798046792995619879201901629509962642478747757415736655416081164822903350662870157402045025941635874212506956564969397760543050492695452115091801441222936750533692948744606214633946588609423618466780973921567733658452430650039513599114767189400974911150171137790015330955300324164599276723656476746750172164720997056459408612191280865098967563222217430160962982736378203029277345915365953446152283372934627429211458576083418252535735125650853953659937765952566119768156308802879713749742573307996819122502812135991148761020275051517768964517638982483172075700873701038754699035848553431658787581676800599075368061967300637167018300916035727989302693111465365127396249515639189823845196411526921298519625070546762152052836570299460172982593485401541074885270481772965242573206715655890262990328764004382210918686981172501627755723501301596545951604716028118764171409993865072822866450557801916822529067230646710518344105897550299299651461355034343249911536833714332497321512857802100216166819151764906426961518684115803523444733028168246539793836434857876001452510253027496313054124940941615466189285299832495229540450911027094546536685299995183361870132243469596493456711284587512073647628423530918276649913025465271591852978281623554536625825647042348509325877159931781475269786645835586137567687536231183615972391113750994701236950517412562346964193562009763430176095992996012629166790281959333145027514746937699974707021290436477373048585351974634210085579582224554027734205381670271877406381337742730907487706985968592400513389418024445022132394290336293124232348878103786378937839939838860692809754162960969040657101321893578671588672382131134014651946895656036175917195747990126780792496836933492230746851306595408997553755033100385230311414870359530292203496563916031994844348090920159252195765679290587304749575746181206800816576085358821383751698034645209360538702298780728237722359119041034066395105180943815622517640083814221924324112014914675591030890715948348148833258999735484508702249618664528026688094626320673120479040557803743287202333107672646264719498859337023064752764288505534600630385882003330066313520840660784976771209510242755157744318072503658852272826582002641485894095589411590187270543406291454838535952778071763233217009225754673513192750583465921497430249987480443357226940209848895234982397915013769121127430500804180046960287445836824823739160504987846092040026122856983550671572645807840081044166414860744007775715690349073169127448476888180045752125772993091345415903231122294398064594237732266563139502315876241835839013513331440838242184393433247995046425822576627389441332835806253687221929887023739156261913165588236548787092136085701386407815514805227015603124345226874545333693182962930689082003282703433210054462599547284213056564913345177044401221831800143066947152004343923509997673386184655924966091025860698169361016761345728611272552337506406125093741985836814356316023437854115934524173524480066709469360509566494606018237148936398267274527867682149271831157679483659458638755936778251610446514954357494203365438638227589994318386281243918588554945326265319931908895183555357495803683662384189074507052152116669558980781074853424681425514501978781921033632295228761243708264605753812542661759869481820382500976566765609612007905054307441847876583652668066241559748537773202026037932096952253849842976424019178714189781018045061359154233153697888719883538706517755202705886275306720534969998557017840182478195734445239222419442958072879853303252413265362784171859758663594985129907177882265472405713600477753211940373165553766242991281938687903373595057295700804218315155881205871815315749339717452151143002518485812714943008742519089314638990765863838926488291712625286299111282040046708891194979691253556935521404524222733355724154328490308017192775373101399958702951247435600628347836572135355964216331699240556630764516262808781043027036504487528397945989973594894154902736790323567112267138252890671052880989400097700848467247748528383624336985643997597873552021282025184781194852173319324876371515036014205489675844669059350655241421667340365126096971128632690824563717350829689065032680917469011534857469881492610936683617995075824348327670882243992951357032777101635753814614586626971371291759664977536056437058443942768668456758057932879101316538252}
30176  476699743615470152187333152422767034801441797321178874547425936257500742184890045500705: {211183,301690,362028,784186,1115143,1295719,1327084,2017303,2197519,2230138,2377663,2470906,3166905,3378032,3673786,3770125,3800286,4274626,4524150,4825760,4892119,4995106,5428980,5786719,5790912,6194626,6385228,6514776,6857863,7106668,7329123,7474472,7631938,8408781,8919368,9347119,9783586,9989548,10034289,11116519,11453506,12148684,13110465,13586668,13595938,13984496,14013705,14693192,14947952,15377338,15732558,16135208,16207063,16529841,16816446,17078623,17510266,17576648,17948383,18152109,18338338,18353433,18574786,19017512,19773729,20110138,21394701,21581719,21753943,21849325,22875501,23129143,24328663,25052026,25755706,26130513,26219190,26546983,26646465,27032889,27161338,27967136,28245103,28422896,28837281,29091463,29148706,29202753,29429503,29727453,29849026,30040684,30273343,31463028,31975758,32053305,32062906,32458903,32694305,33341986,33463519,33515769,33966653,34190192,34735138,35018188,35083066,35346009,35389825,35546746,35655465,35894338,36129823,37221665,37456063,37696328,37976866,38032496,38123305,38207938,38463966,39233166,39708346,39899725,40745506,40915519,41321146,41570863,41734519,42104428,42408369,42467790,42714943,42738861,42786558,42818993,43424072,43547965,43753305,44093357,44193346,44343223,44665998,45154663,45298976,45453946,45636748,45640663,45747966,46255138,46449223,46625033,46670192,46706150,47417119,47626786,47879670,48160281,48382423,48523790,48539938,48852081,49146465,49665463,49866028,50570792,50590786,50624719,50784343,50961348,51071648,51273484,51386938,51955138,52106873,52257558,52422896,52503966,52660641,52852903,53170063,53382508,53425448,54390065,55197129,55695226,56028401,56047380,56168719,56486338,56834553,56892141,57389506,57455604,57736519,58228548,58610541,58673743,58975758,59530426,59694028,59783872,60103629,60393868,61005463,61169990,61216546,61991809,62610465,62990510,63068369,63460733,63794938,63935719,64269905,64424541,65268078,66037809,66078223,66210989,66230719,66607190,66784496,66810946,66922426,67256856,67542573,67599943,67918345,67928798,68130713,69265519,69319700,70259386,70374081,70503213,70577465,70675905,70856908,71522719,72171273,72484401,72869263,73343528,73403988,73912543,74438390,74655583,75132558,75237826,75387632,75396823,75458338,75588612,75663963,75717484,75840703,76878489,76882505,77123886,77842105,78193073,78428986,78758338,78903902,79514503,79526266,79928628,80407825,80429768,80520465,81214761,81368409,81502014,81825346,81871361,82511469,82710223,83143303,83183640,83316441,83354146,84151303,84444226,84692958,84706828,84811086,85178361,85315138,85888496,86393433,86572109,86619586,86727103,87011863,87027773,87385700,87462988,87501608,87704866,88180862,88355266,88729216,88896826,88997119,89326068,89527084,89654338,89702719,89870626,90097670,90483489,90519106,90561873,90658190,90901708,91490746,91814150,92259006,92507119,92891938,93243878,93410526,93430138,93581595,94037263,94505338,94817294,95018668,96489390,96522343,96624558,96650938,97041140,97329590,97377992,97624029,97892863,98439309,98441548,98575423,98847943,99003706,99527983,99820368,...,153677386464805649299590137821580443937901230657625587296749310574569604415348869774750030740423886671359494562952148870583889699636651457363805017076713228387409101723581871127768905987441020822291910467810765907132908427058882320677048441306925864645303567143674632654879354217859828533138092219416575443551299832884509743085106149796961029488984339359623409686799961879043178841056880046906723590124460335707716916480205549241816145972681953197521834492057106572718007849160312658433872396431697070189493429818802852444264943963718121636123604983124121747234355025994305236103067538912453811318760434847454096640814575739043178172637702161834405125800539423116909321950919882914135427700171460882351600487678645975059270398672150784101462366725256706685022996432950486246898915085484715120125258247081495584689112918286921297648451344833326145241444474104567304543916018873048930169228425059401941143817187864125127378803602688476280930489906648928849179652234463204319570624613859961995228683754218203986723141530412577276653446776458473724758113551310551558132048553772830147488181372515200898613052092950950955750527451374053591983954039667198047691094374273458784735767794617290381947779437605820143228079254855449190259473890228102311612327905722659447863859810073483835394485493146006573316378030471758752441633585251952394818927407074042178146257114990797609234299675836702875233793600845970065777516158846325448949477192032551514874867305250571498745982269286703150324250228727647359640442278026173705285167099542252369809690754652286814002178765379541244469581187411412423199283927949748742844310676366540641819805027949992775042805198365204394740185066926881268110471442635296377414974869538197907387779467422435331804938738470563522763988815739897672212904679968753379206351531304346775423958586670626492051855425776118843520446290343014645145264143989494018943750185422938999717541272120406549962060531935654716059572878027961951315128369373336831041601308072505407816109572006614096361231560478952888600770084127036667533198591435504439686348523317155679568406759909758291039214631244441453560985651982840368007383008573196701021977920343484054263875793621985190171188745255400238346120276959893113496330632549650577845467122305539295438305244845874047992266522136380238878293648518935880957124363619271810201224864128038232075627547051967814040808053448171092356583538678561551099592657771415723433776460125721332886486168022372013386546336073922522223249888499603226763053374427996792040032141939481009680718560836705614930803499661508969397079248289005534597129146432758301900945578823004995099470281260991177465156814265364132736616477108755488278409239873003962228841143384117385280905815109437182257803929167107644849825513838632010269789125875198882246145374981220665035840410314773342852473596872520653681691145751206270070440431168755237235608740757481769138060039184285475326007358968711760121566249622291116011663573535523609753691172715332270068628188659489637018123854846683441597096891356598399844709253473814362753758520269997161257363276590149871992569638733864941084161999253709380530832894830535608734392869748382354823180638204128552079611723272207840523404686517840311818000539774444396033623004924055149815081693899320926319584847370017765566601832747700214600420728006515885264996510079276983887449136538791047254041525142018592916908828506259609187640612978755221534474035156781173901786260286720100064204040764349741909027355723404597400911791801523223907746736519225489187958133905167377415669772431536241305048157957341384991477579421865877882832417989397979897863342775333036243705525493576283611760578228175004338471171612280137022138271752968172881550448442843141865562396908630718813992639804222730573751464850148414418011857581461162771814875479002099362339622806659803039056898145428380774764464636028768071284671527067592038731349730546833079825308059776632804058829412960080802454997835526760273717293601667858833629164437109319779954878619898044176257789637995392477694860766823398208608570400716629817910559748330649364486922908031855060392585943551206327472733821808807722973624009576178226714503777728719072414513113778633971958486148795758389732437568937929448666923060070063336792469536880335403282106786334100033586231492735462025789163059652099938054426871153400942521754858203033946324497548860834946146774394213171564540554756731292596918984960392341232354105185485350668400707379336006579321484100146551272700871622792575436505478465996396810328031923037777171792278259978987314557272554021308234513767003589025982862132501010547689145456692949036236845576026244533597549021376203517302286204822238916405025426992613736522491506323365989427035549165652453630721921879940457056937639497466304084655587665914153002685137086899318651974807378}
30177  478177455518827758024918571686970103790377173295408962105490459587643534928560766573439: {452535,482704,543042,1176279,1658855,1990626,2955778,3345207,3706359,4222540,5067048,5510679,5700429,6032200,6411939,6540163,6786225,7238640,7492659,7721216,7804447,7981535,8143470,8686368,8883335,9291939,9343090,9577842,9613703,9772164,10660002,10880179,11149210,11211708,11447907,11783567,12143599,12236434,12486935,12856543,13079458,13379052,14118307,14675379,14984322,15185855,15379567,15571523,16640323,16983335,17180259,17480620,17555879,18023122,18223026,18366490,18684940,19469794,20169010,20380002,20393907,20550706,20976744,20992943,21758914,21970810,22039788,22421928,22720282,23066007,23598837,23771890,23871679,24060287,24202812,24471244,24870034,25224669,25330079,26214487,26265399,26336242,26364972,27507507,27862179,28396559,28526268,28556359,29916418,30165207,30500668,32984287,33278434,33673042,34535023,34840684,34882423,34958920,35379443,35528620,36043852,36317423,37550855,37578039,37996063,38305843,38449708,38633559,38937004,39328785,39636604,40127299,40398226,40742007,40836418,41211007,41490202,41950704,42347314,42634344,42737740,43723059,43772735,44249443,44362978,44687692,44773539,45061026,45253703,45497423,45870034,46178002,46747267,47120410,47128012,47194542,47540620,47884327,47963637,48094359,48326146,49204642,50012979,51285288,51482279,51611303,52102707,52310888,52527282,52624599,52630535,53320119,53774674,53841507,54280090,55547986,55638259,56544492,56623720,56965299,56985148,57045935,57048744,57108922,57311907,57405539,57695949,57720287,57877186,57981503,58337740,58436434,58849749,58915519,59554664,59555602,59562519,60627442,60997288,61118259,61981719,62332535,62421178,63156642,63213490,63701685,63839560,64091855,64175587,64179837,64213708,64613914,65136108,65528620,65964178,66290019,66728135,66781810,66874583,66998997,67477474,67948464,68180919,68455122,68547298,68621949,69382707,69676744,70005288,70059225,70214188,70376047,70549999,71440179,71819505,72785685,72809907,73596172,73945667,74617535,74729840,74799042,75076882,75152434,75492335,75779404,75856188,75886179,76017863,76442022,76521826,76563907,76606594,76607472,76910226,77080407,77582279,77638064,77932707,78147388,78386337,78634344,78678083,78755949,80073762,80138172,80498002,83386883,83480620,83542839,84071070,84435346,84469439,84729507,85205743,85899388,86084259,86183406,86649625,87024104,87342822,87702658,88007663,88050412,88463637,88571135,89295639,89541042,89675808,90056764,90590802,91314298,91679410,91754985,91824819,93832108,94004284,94234540,94485765,94646855,95692407,96228364,96280679,96645868,97871984,97902117,98879026,99703186,99910785,...,230516079697208473949385206732370665906851845986438380945123965861854406623023304662125046110635830007039241844428223305875834549454977186045707525615069842581113652585372806691653358981161531233437865701716148860699362640588323481015572661960388796967955350715511948982319031326789742799707138329124863165326949749326764614627659224695441544233476509039435114530199942818564768261585320070360085385186690503561575374720308323862724218959022929796282751738085659859077011773740468987650808594647545605284240144728204278666397415945577182454185407474686182620851532538991457854154601308368680716978140652271181144961221863608564767258956553242751607688700809134675363982926379824371203141550257191323527400731517968962588905598008226176152193550087885060027534494649425729370348372628227072680187887370622243377033669377430381946472677017249989217862166711156850956815874028309573395253842637589102911715725781796187691068205404032714421395734859973393273769478351694806479355936920789942992843025631327305980084712295618865914980170164687710587137170326965827337198072830659245221232272058772801347919578139426426433625791177061080387975931059500797071536641561410188177103651691925935572921669156408730214842118882283173785389210835342153467418491858583989171795789715110225753091728239719009859974567045707638128662450377877928592228391110611063267219385672486196413851449513755054312850690401268955098666274238269488173424215788048827272312300957875857248118973403930054725486375343091471039460663417039260557927750649313378554714536131978430221003268148069311866704371781117118634798925891924623114266466014549810962729707541924989162564207797547806592110277600390321902165707163952944566122462304307296861081669201133652997707408107705845284145983223609846508319357019953130068809527296956520163135937880005939738077783138664178265280669435514521967717896215984241028415625278134408499576311908180609824943090797903482074089359317041942926972692554060005246562401962108758111724164358009921144541847340718429332901155126190555001299797887153256659529522784975733519352610139864637436558821946866662180341478477974260552011074512859795051532966880515226081395813690432977785256783117883100357519180415439839670244495948824475866768200683458308943157457867268811071988399783204570358317440472778403821435686545428907715301837296192057348113441320577951721061212080172256638534875308017842326649388986657123585150664690188581999329729252033558020079819504110883783334874832749404840144580061641995188060048212909221514521077841255058422396205249492263454095618872433508301895693719649137452851418368234507492649205421891486766197735221398046199104924715663133232417613859809505943343261715076176077921358722664155773386705893750661467274738270757948015404683688812798323369218062471830997553760615472160014278710395308780980522536718626809405105660646753132855853413111136222653707090058776428212989011038453067640182349374433436674017495360303285414630536759072998405102942282989234455527185782270025162395645337034897599767063880210721544130637780404995741886044914885224807988854458100797411626242998880564070796249342245803413101589304622573532234770957306192828119417584908311760785107029776760467727000809661666594050434507386082724722622540848981389479377271055026648349902749121550321900631092009773827897494765118915475831173704808186570881062287713027889375363242759389413781460919468132832301711052735171760852679390430080150096306061146524612863541033585106896101367687702284835861620104778838233781937200857751066123504658647304361957572236936012077487216369132798816824248626984096969846795014162999554365558288240364425417640867342262506507706757418420205533207407629452259322325672664264712798343595362946078220988959706334095860627197275222621627017786372191744157722313218503149043509434209989704558585347218142571162146696954043152106927007290601388058097024595820249619737962089664949206088244119440121203682496753290140410575940402501788250443746655663979669932317929847066264386684456993088716542291150235097312912855601074944726865839622495974046730384362047782590588878915326809491209100732713211584460436014364267340071755666593078608621769670667950957937729223193637584598656353406894173000384590105095005188704305320503104923160179501150050379347239103193038683744589478149907081640306730101413782632287304550919486746323291252419220161591319757346810832135096938895378477440588511848531157778228026002601061069004009868982226150219826909051307434188863154758217698994595215492047884556665757688417389968480971835908831031962351770650505383538974293198751515821533718185039423554355268364039366800396323532064305275953429307233358374607538140488920604783737259485048984140553323748478680446082882819910685585406459246199456126983381498871229504027705630348977977962211067}
30178  479659721527335205810875715180814319298326380441304745318198165067164018506067330102571: {422366,512737,603380,724056,814563,1235617,1568372,1777021,2230286,2591438,2654168,2677921,2985939,3217597,3936157,4034606,4395038,4433667,4460276,4474321,4755326,4941812,5011837,5278175,6333810,6756064,7347572,7511677,7540250,7600572,7689697,8549252,9048300,9288637,9651520,9784238,9990212,10705021,10857960,11573438,11581824,11587921,12215205,12389252,12469021,12770456,13029552,13699537,13715726,14014635,14213336,14366763,14658246,14948944,15101521,15263876,15990003,16723815,16817562,17838736,18354651,18694238,18933217,19106557,19567172,19619187,19972177,19979096,20068578,21850775,22233038,22476483,22907012,23356175,24297368,24615421,25810657,26220930,27034683,27173336,27191876,27334539,27549735,27681757,27968992,28027410,28359997,28529377,29204691,29386384,29895904,30050557,30253515,30556321,30570003,30589055,30754676,30826059,31465116,32270416,32414126,32638371,32956215,33059682,33410077,33632892,34080423,34157246,35020532,35153296,35245537,35578321,35657835,35896766,36304218,36676676,36706866,36906577,37149572,37305051,37734397,38035024,38065021,38125835,39219937,39504363,39547458,40220276,41027677,42500257,42789402,43163438,43507886,43550855,43698650,44410775,44617021,44874627,44941597,45054815,45751002,45772027,45913597,46237021,46258286,46721617,48062135,48657326,48671255,49545755,49917651,50104052,50509563,51511412,52110331,52261026,52438380,52962397,53093966,53292930,53372627,53422175,53437921,53754577,54065778,54322676,55018321,55859615,55934272,56277457,56490206,56845792,57062077,57674562,58157521,58182926,58297412,58405506,58469857,58859006,58910015,59425775,59454906,59698052,60081368,60546686,60597339,60967151,61254627,61995923,62235303,62504017,62926056,63520971,63951516,64106610,64125812,64917806,65388610,65421277,66215383,66544467,66641821,66683972,66927038,66946237,67031538,67591539,67706017,67933306,68380384,68615377,68805051,69267003,69284963,69470276,69974557,70036376,70166132,70680615,70692018,70779650,70791813,71093492,71231435,71310930,71788676,72259646,72489219,72922175,73263047,73806963,74165821,74443330,74908321,74912126,75204817,75392656,75953732,76064992,76146091,76246610,76415876,76927932,78466332,78593821,78790923,79033057,79416692,79799450,80055421,80267135,80662011,81420135,81491012,81509821,81831038,81910775,82642292,83141726,83321979,83469038,83860139,84208856,84397021,84816738,84935580,85429886,85477722,85543837,85573116,85637986,85663383,86115517,86815779,86848144,87095930,87506610,87539677,87654651,87681697,87767735,88186714,88386692,88673821,88686446,89331996,89333403,89380321,89977867,90309326,90597952,90907892,90941163,91273496,91281326,91495932,91995215,92188321,92467537,92510276,92607037,92898446,93164317,93250066,93340384,93412300,93631767,94724255,94734963,94820235,94834238,95085683,95243857,95253572,95759340,95792807,96071137,96320562,96757063,96764846,96920871,97047580,97079876,97444177,97684235,97704162,98292930,98401021,98808451,98946267,99330926,99354337,99732056,99761821,...,307354772929611298599180275643160887875802461315251174593498621149139208830697739549500061480847773342718989125904297741167779399273302914727610034153426456774818203447163742255537811974882041644583820935621531814265816854117764641354096882613851729290607134287349265309758708435719657066276184438833150887102599665769019486170212299593922058977968678719246819373599923758086357682113760093813447180248920671415433832960411098483632291945363906395043668984114213145436015698320625316867744792863394140378986859637605704888529887927436243272247209966248243494468710051988610472206135077824907622637520869694908193281629151478086356345275404323668810251601078846233818643901839765828270855400342921764703200975357291950118540797344301568202924733450513413370045992865900972493797830170969430240250516494162991169378225836573842595296902689666652290482888948209134609087832037746097860338456850118803882287634375728250254757607205376952561860979813297857698359304468926408639141249227719923990457367508436407973446283060825154553306893552916947449516227102621103116264097107545660294976362745030401797226104185901901911501054902748107183967908079334396095382188748546917569471535589234580763895558875211640286456158509710898380518947780456204623224655811445318895727719620146967670788970986292013146632756060943517504883267170503904789637854814148084356292514229981595218468599351673405750467587201691940131555032317692650897898954384065103029749734610501142997491964538573406300648500457455294719280884556052347410570334199084504739619381509304573628004357530759082488939162374822824846398567855899497485688621352733081283639610055899985550085610396730408789480370133853762536220942885270592754829949739076395814775558934844870663609877476941127045527977631479795344425809359937506758412703062608693550847917173341252984103710851552237687040892580686029290290528287978988037887500370845877999435082544240813099924121063871309432119145756055923902630256738746673662083202616145010815632219144013228192722463120957905777201540168254073335066397182871008879372697046634311359136813519819516582078429262488882907121971303965680736014766017146393402043955840686968108527751587243970380342377490510800476692240553919786226992661265099301155690934244611078590876610489691748095984533044272760477756587297037871761914248727238543620402449728256076464151255094103935628081616106896342184713167077357123102199185315542831446867552920251442665772972336044744026773092672147845044446499776999206453526106748855993584080064283878962019361437121673411229861606999323017938794158496578011069194258292865516603801891157646009990198940562521982354930313628530728265473232954217510976556818479746007924457682286768234770561811630218874364515607858334215289699651027677264020539578251750397764492290749962441330071680820629546685704947193745041307363382291502412540140880862337510474471217481514963538276120078368570950652014717937423520243132499244582232023327147071047219507382345430664540137256377318979274036247709693366883194193782713196799689418506947628725507517040539994322514726553180299743985139277467729882168323998507418761061665789661071217468785739496764709646361276408257104159223446544415681046809373035680623636001079548888792067246009848110299630163387798641852639169694740035531133203665495400429200841456013031770529993020158553967774898273077582094508083050284037185833817657012519218375281225957510443068948070313562347803572520573440200128408081528699483818054711446809194801823583603046447815493473038450978375916267810334754831339544863072482610096315914682769982955158843731755765664835978795959795726685550666072487411050987152567223521156456350008676942343224560274044276543505936345763100896885686283731124793817261437627985279608445461147502929700296828836023715162922325543629750958004198724679245613319606078113796290856761549528929272057536142569343054135184077462699461093666159650616119553265608117658825920161604909995671053520547434587203335717667258328874218639559909757239796088352515579275990784955389721533646796417217140801433259635821119496661298728973845816063710120785171887102412654945467643617615445947248019152356453429007555457438144829026227557267943916972297591516779464875137875858897333846120140126673584939073760670806564213572668200067172462985470924051578326119304199876108853742306801885043509716406067892648995097721669892293548788426343129081109513462585193837969920784682464708210370970701336801414758672013158642968200293102545401743245585150873010956931992793620656063846075554343584556519957974629114545108042616469027534007178051965724265002021095378290913385898072473691152052489067195098042752407034604572409644477832810050853985227473044983012646731978854071098331304907261443843759880914113875278994932608169311175331828306005370274173798637303949614756}
30179  481146555594478667901319934910599224508286170312152375883590389216983371489620062568331: {633549,754225,905070,965408,1086084,1960465,2322397,2352558,3317710,3345429,3887157,3981252,5575345,5911556,6051909,6177265,6592557,6690414,7132989,7412718,8445080,9184465,9500715,9614341,10134096,10276717,10686565,11021358,11174149,11310375,11361649,11400858,11784349,12064400,12436669,12487765,12823878,13080326,13169869,13572450,14477280,14676357,14855569,14985318,15442432,15486565,15608894,15940357,15963070,16286940,17360157,17372736,17481709,17766670,18402709,18583878,18686180,19079845,19155684,19227406,19540741,19544328,20573589,20747857,21260197,21320004,21760358,21987369,22016989,22298420,22423416,22895814,23462701,23505757,23567134,23776669,24287198,24458965,24472868,24973870,25226343,25631269,25713086,26147341,26158916,26758104,26890909,27076981,27128209,28041357,28236614,28633765,29350758,29781757,29968644,30102867,30193309,30371710,30759134,31143046,32085757,32311249,32547829,33280646,33349557,33966670,33989845,34360518,34961240,35111758,35799601,36040741,36046244,36319837,36446052,36695557,36732980,37340449,37369880,38443345,38939588,39331395,40338020,40590061,40760004,40787814,40841629,41030389,41101412,41812069,41953488,41985886,42041115,43517828,43775665,43941620,44079576,44843856,45440564,45845845,45914341,46132014,46259089,46367149,46436965,47197674,47543780,47743358,48120574,48405624,48621189,48942488,49589523,49740068,50275345,50449338,50593057,50660158,50850061,51235869,51485701,51828997,52428974,52530798,52571197,52633309,52672484,52729944,53227441,53481649,53845149,54456327,55015014,55032781,55060299,55724358,56793118,57052536,57112718,57683221,57985357,59004529,59048341,59321187,59832836,60330414,60809869,61001336,61281829,62630065,64184103,64389265,64510909,64745157,65261829,65547975,65968574,66556868,67061629,67346084,67903345,68626503,68892661,69070046,69387429,69681368,69764846,69917840,70758886,71057240,72087704,72634846,72871765,72985989,73682749,74622565,74742181,75101710,75156078,75327829,75992126,76022929,76611686,76899416,77038237,77267118,77874008,78391539,78657570,78996517,79273208,79336477,79640949,79864309,79939395,80157265,80254598,80796452,81098667,81484014,81672836,82422014,82600837,82605037,82932781,82980404,83354965,83901408,84694628,84735309,84961141,85268688,85475480,86213557,86511843,86837845,87265549,87274389,87446118,87545470,87608259,87707665,87714709,88197649,88288509,88498886,88725956,88866865,89182359,89375384,89547078,89728597,89735845,89750389,90122052,90507406,90820029,90994846,91238269,91740068,92311189,92356004,92983189,93419389,93494534,94077157,94240820,94256024,94389084,94942165,95081240,95519845,95768654,95927274,96159915,96188718,96652292,97361101,97376709,98082915,98409284,99270865,...,461032159394416947898770413464741331813703691972876761890247931723708813246046609324250092221271660014078483688856446611751669098909954372091415051230139685162227305170745613383306717962323062466875731403432297721398725281176646962031145323920777593935910701431023897964638062653579485599414276658249726330653899498653529229255318449390883088466953018078870229060399885637129536523170640140720170770373381007123150749440616647725448437918045859592565503476171319718154023547480937975301617189295091210568480289456408557332794831891154364908370814949372365241703065077982915708309202616737361433956281304542362289922443727217129534517913106485503215377401618269350727965852759648742406283100514382647054801463035937925177811196016452352304387100175770120055068989298851458740696745256454145360375774741244486754067338754860763892945354034499978435724333422313701913631748056619146790507685275178205823431451563592375382136410808065428842791469719946786547538956703389612958711873841579885985686051262654611960169424591237731829960340329375421174274340653931654674396145661318490442464544117545602695839156278852852867251582354122160775951862119001594143073283122820376354207303383851871145843338312817460429684237764566347570778421670684306934836983717167978343591579430220451506183456479438019719949134091415276257324900755755857184456782221222126534438771344972392827702899027510108625701380802537910197332548476538976346848431576097654544624601915751714496237946807860109450972750686182942078921326834078521115855501298626757109429072263956860442006536296138623733408743562234237269597851783849246228532932029099621925459415083849978325128415595095613184220555200780643804331414327905889132244924608614593722163338402267305995414816215411690568291966447219693016638714039906260137619054593913040326271875760011879476155566277328356530561338871029043935435792431968482056831250556268816999152623816361219649886181595806964148178718634083885853945385108120010493124803924217516223448328716019842289083694681436858665802310252381110002599595774306513319059045569951467038705220279729274873117643893733324360682956955948521104022149025719590103065933761030452162791627380865955570513566235766200715038360830879679340488991897648951733536401366916617886314915734537622143976799566409140716634880945556807642871373090857815430603674592384114696226882641155903442122424160344513277069750616035684653298777973314247170301329380377163998659458504067116040159639008221767566669749665498809680289160123283990376120096425818443029042155682510116844792410498984526908191237744867016603791387439298274905702836736469014985298410843782973532395470442796092398209849431326266464835227719619011886686523430152352155842717445328311546773411787501322934549476541515896030809367377625596646738436124943661995107521230944320028557420790617561961045073437253618810211321293506265711706826222272445307414180117552856425978022076906135280364698748866873348034990720606570829261073518145996810205884565978468911054371564540050324791290674069795199534127760421443088261275560809991483772089829770449615977708916201594823252485997761128141592498684491606826203178609245147064469541914612385656238835169816623521570214059553520935454001619323333188100869014772165449445245081697962778958754542110053296699805498243100643801262184019547655794989530237830951662347409616373141762124575426055778750726485518778827562921838936265664603422105470343521705358780860160300192612122293049225727082067170213792202735375404569671723240209557676467563874401715502132247009317294608723915144473872024154974432738265597633648497253968193939693590028325999108731116576480728850835281734684525013015413514836840411066414815258904518644651345328529425596687190725892156441977919412668191721254394550445243254035572744383488315444626437006298087018868419979409117170694436285142324293393908086304213854014581202776116194049191640499239475924179329898412176488238880242407364993506580280821151880805003576500887493311327959339864635859694132528773368913986177433084582300470194625825711202149889453731679244991948093460768724095565181177757830653618982418201465426423168920872028728534680143511333186157217243539341335901915875458446387275169197312706813788346000769180210190010377408610641006209846320359002300100758694478206386077367489178956299814163280613460202827565264574609101838973492646582504838440323182639514693621664270193877790756954881177023697062315556456052005202122138008019737964452300439653818102614868377726309516435397989190430984095769113331515376834779936961943671817662063924703541301010767077948586397503031643067436370078847108710536728078733600792647064128610551906858614466716749215076280977841209567474518970097968281106647496957360892165765639821371170812918492398912253966762997742459008055411260697955955924422134}
30180  482637971716248024910767037244474888350930508335487982725661524430641102168371584429143: {331859,573059,844732,1025474,1206760,1235699,1295891,1357605,1416251,1448112,1629126,1837259,2017571,2137739,2471234,2498051,2678099,3136744,3277739,3528837,3554042,4460572,4534379,4976565,5012171,5182876,5308336,5355842,5727899,5906651,5971878,6435194,6977651,7389445,7868171,7872314,8069212,8790076,8867334,8920552,8948642,9171011,9348371,9466571,9510652,9883624,10023674,10035621,10352051,10556350,11119077,12469859,12528539,12667620,13056299,13512128,13583411,13758971,14695144,15023354,15080500,15102539,15201144,15379394,16209251,16532037,16848659,17098504,17101287,17545091,17719019,17950811,18096600,18124571,18577274,18992291,19235817,19281131,19303040,19568476,19620489,19980424,20358675,21410042,21412331,21715920,21871691,22101179,22273211,22477977,22617059,23146876,23163648,23175842,23357725,23413341,23418251,23944605,24430410,24778504,24938042,25015931,25540912,25698731,25869251,26059104,26650005,26664059,27174179,27399074,27400691,27431452,27873025,27875817,28029270,28361939,28426672,28733526,28841109,29316492,29546171,29897888,30108851,30203042,30527752,30558419,30591085,30614579,31980006,32071931,32463371,32640537,32698645,33447630,33468131,33635124,33746771,33969539,34343721,34803779,35350701,35636219,35677472,36411539,36430797,36709302,36964379,37388476,37460805,37571579,37866434,38122739,38213114,38569629,39134344,39238374,39387371,39552011,39944354,39958192,40137156,40538339,41030531,41085179,41685779,42354921,42557651,42824677,42829691,43318859,43644611,43701550,43861619,44026137,44349419,44457731,44466076,44620139,44952966,45057805,45269051,45557565,45754979,45814024,45916225,45916811,45970739,46138701,46294139,46712350,46714569,47423771,47531171,48594736,48674485,49230842,49298651,49512299,49672451,49920969,50422525,50472131,50738291,50950005,51376765,51540777,51621314,51907019,52441860,52667637,52701659,52966139,53019011,53376169,53758379,54069366,54346672,54383752,54397285,54669078,54927025,55074779,55099470,55363514,55809779,55937984,56054820,56281451,56333819,56719994,56800705,56804771,57058754,57118379,58161659,58409382,58474019,58526051,58772768,58942019,59253659,59429725,59720579,59791808,60101114,60342131,60507030,60549059,60971197,61014179,61112642,61140006,61178110,61181721,61509352,61652118,61890971,62175085,62508491,62559899,62930232,62978829,63076741,63791291,64047251,64540832,64828252,64967051,65276742,65578811,65840605,65912430,65935139,66087731,66119364,66189419,66392699,66820154,67103171,67265784,67286989,67609691,67710899,67862651,68139757,68160846,68314492,69198021,69289561,69364057,70041064,70306592,70431419,70491074,70796511,71156642,71315670,71615037,71793532,72180861,72608436,73267909,73353352,73413732,73476539,73813154,74022491,74171219,74299144,74610102,74791045,74963219,75407819,75468794,75506531,75674007,75990237,76070048,76130042,76251670,77130659,77719091,77914979,78203461,78439874,78643461,78796197,79008726,79038851,79094916,79185131,79331339,79769531,80061299,80440552,80789459,81564179,81882229,82055354,82433291,82474021,82522521,83196085,83586537,83684099,84182605,84403259,84451139,84833891,85000514,85189677,85454771,85578804,85597859,85669077,86026691,86326876,86583601,86834939,87015772,87024779,87101710,87397300,87593531,87735539,88680419,88727579,88821550,89151659,89234042,89434019,89749254,89810051,89883194,90091739,90109630,90495621,91502004,91544054,91827194,92195219,92381411,92474042,92516572,92520971,92613971,92660459,93356819,93443234,93634859,94143851,94282499,94467251,95297051,95848811,96124270,96216011,97314652,97342510,97770899,97998779,98952861,99091510,99107437,99724009,99835302,...,691548239091625421848155620197111997720555537959315142835371897585563219869069913986375138331907490021117725533284669917627503648364931558137122576845209527743340957756118420074960076943484593700313597105148446582098087921764970443046717985881166390903866052146535846946957093980369228399121414987374589495980849247980293843882977674086324632700429527118305343590599828455694304784755960211080256155560071510684726124160924971588172656877068789388848255214256979577231035321221406962952425783942636815852720434184612835999192247836731547362556222424058547862554597616974373562463803925106042150934421956813543434883665590825694301776869659728254823066102427404026091948779139473113609424650771573970582202194553906887766716794024678528456580650263655180082603483948277188111045117884681218040563662111866730131101008132291145839418031051749967653586500133470552870447622084928720185761527912767308735147177345388563073204616212098143264187204579920179821308435055084419438067810762369828978529076893981917940254136886856597744940510494063131761411510980897482011594218491977735663696816176318404043758734418279279300877373531183241163927793178502391214609924684230564531310955075777806718765007469226190644526356646849521356167632506026460402255475575751967515387369145330677259275184719157029579923701137122914385987351133633785776685173331833189801658157017458589241554348541265162938552071203806865295998822714808464520272647364146481816936902873627571744356920211790164176459126029274413118381990251117781673783251947940135664143608395935290663009804444207935600113115343351355904396777675773869342799398043649432888189122625774967487692623392643419776330832801170965706497121491858833698367386912921890583245007603400958993122224323117535852437949670829539524958071059859390206428581890869560489407813640017819214233349415992534795842008306543565903153688647952723085246875834403225498728935724541829474829272393710446222268077951125828780918077662180015739687205886326274335172493074029763433625542022155287998703465378571665003899393661459769978588568354927200558057830419593912309676465840599986541024435433922781656033223538579385154598900641545678244187441071298933355770349353649301072557541246319519010733487846473427600304602050374926829472373601806433215965199349613711074952321418335211464307059636286723145905511888576172044340323961733855163183636240516769915604625924053526979948166959971370755451994070565745997989187756100674060239458512332651350004624498248214520433740184925985564180144638727664543563233523765175267188615748476790362286856617300524905687081158947412358554255104703522477947616265674460298593205664194138597314774146989399697252841579428517830029785145228528233764076167992467320160117681251984401824214812273844046214051066438394970107654187415492992661281846416480042836131185926342941567610155880428215316981940259398567560239333408667961121270176329284638967033115359202920547048123300310022052486080909856243891610277218995215308826848967703366581557346810075487186936011104692799301191640632164632391913341214987225658134744655674423966563374302392234878728996641692212388748026737410239304767913867720596704312871918578484358252754724935282355321089330281403181002428984999782151303522158248174167867622546944168438131813165079945049708247364650965701893276029321483692484295356746427493521114424559712643186863139083668126089728278168241344382758404398496905133158205515282558038171290240450288918183439573838590623100755320688304103063106854507584860314336514701345811602573253198370513975941913085872716710808036232461649107398396450472745880952290909540385042488998663096674864721093276252922602026787519523120272255260616599622222888356777966977017992794138395030786088838234662966879119002287581881591825667864881053359116575232473166939655509447130528302629969113675756041654427713486440090862129456320781021871804164174291073787460748859213886268994847618264732358320363611047490259870421231727821207505364751331239966991939009796953789541198793160053370979266149626873450705291938738566803224834180597518867487922140191153086143347771766636745980428473627302198139634753381308043092802020215266999779235825865309012003852873813187669580912753795969060220682519001153770315285015566112915961509314769480538503450151138041717309579116051233768434449721244920920190304241347896861913652758460238969873757257660484773959272040432496405290816686135432321765535545593473334684078007803183207012029606946678450659480727153922302566589464274653096983785646476143653669997273065252169905442915507726493095887055311951516150616922879596254547464601154555118270663065805092118100401188970596192915827860287921700075123822614421466761814351211778455146952421659971245436041338248648459732056756219377738598368380950144496613688512083116891046933933886633201}
30181  484133983931265581981826879356748498055696996623566770449062097012528767803033709232744: {30181,1055915,1267098,1508450,1538211,1810140,1930816,2172168,2443689,2744651,3706851,3920930,4644794,4705116,5331063,5575715,6478595,6635420,6690858,7774314,7805483,7962504,8033763,8648171,8957817,9652791,10086515,10277399,10987595,11150690,11362403,11808471,11823112,11888315,12103818,12145211,12264131,12354530,12858251,13170743,13185114,13301001,13380828,13422963,14265978,14825436,14961191,15035511,15834525,15880091,16603283,16890160,17482871,18368930,18850625,19001430,19228682,20203139,20268192,20553434,21373130,21681191,22042716,22185911,22348298,22535031,22620750,22723298,22801716,23069091,23093603,23568698,24128800,24167891,24460595,24607223,24873338,24975530,25647756,26149079,26160652,26339738,26711783,27144900,27779531,27865911,28933595,28944359,28954560,29352714,29711138,29970636,30319763,30884864,30901403,30973130,31216811,31217788,31880714,31926140,32115063,32573880,33745463,34242551,34280483,34289315,34539611,34720314,34745472,34763763,34963418,35533340,36645615,36805418,37167756,37342931,37372360,37407063,37545923,37919531,38159690,38268539,38311368,38454812,39081482,39088656,40087271,40592759,41098611,41147178,41495714,41733443,42043905,42226091,42520394,42593603,42640008,43100289,43520716,43860071,43974738,44033978,44596840,44846832,45304563,45666251,45791628,46370231,46735595,46925402,47011514,47134268,47553338,47585783,47970009,48574396,48917930,48945736,49449371,49947740,50171445,50452686,51262538,51426172,51832451,52294682,52317832,52338683,53061011,53230979,53516208,53781818,53820683,54153962,54256418,54262403,55036439,55063953,55582595,56082714,56473228,56799651,56898299,57267530,57319671,58701516,58825463,58857561,59008451,59563514,59708099,59916531,59937288,60205734,60386618,60743420,60813911,61252451,61285931,61518268,62286092,64171514,64184183,64622498,65011751,65095658,65552325,66561292,66699114,67429449,67933340,67979690,68721036,69534839,69784403,69922480,70068525,70223516,70385483,71599202,72081482,72092488,72639674,72892104,73391114,73459991,73465960,73643879,73846263,74680898,74739760,76886690,77043371,77431971,77879176,78662790,80676040,81035315,81104049,81180122,81221771,81520008,81575628,81683258,82003617,82060778,82202824,82649205,83045271,83624138,83906976,83971772,84082230,84966803,85079991,85393115,85588131,86101559,86634551,87035656,87551330,87614073,87682091,87883240,88159152,89687712,89741915,90144971,90151671,90760545,90881128,91668963,91691690,91710009,91767165,91828682,92257691,92264028,92478177,92518178,92734298,92873930,93761291,94395348,95064683,95087560,95486716,95940071,96241148,96811248,97242378,97619171,97884976,97915113,98573843,98868645,99179046,99480136,...,922064318788833895797540826929482663627407383945753523780495863447417626492093218648500184442543320028156967377712893223503338197819908744182830102460279370324454610341491226766613435924646124933751462806864595442797450562353293924062290647841555187871821402862047795929276125307158971198828553316499452661307798997307058458510636898781766176933906036157740458120799771274259073046341280281440341540746762014246301498881233295450896875836091719185131006952342639436308047094961875950603234378590182421136960578912817114665589663782308729816741629898744730483406130155965831416618405233474722867912562609084724579844887454434259069035826212971006430754803236538701455931705519297484812566201028765294109602926071875850355622392032904704608774200351540240110137978597702917481393490512908290720751549482488973508134677509721527785890708068999956871448666844627403827263496113238293581015370550356411646862903127184750764272821616130857685582939439893573095077913406779225917423747683159771971372102525309223920338849182475463659920680658750842348548681307863309348792291322636980884929088235091205391678312557705705734503164708244321551903724238003188286146566245640752708414606767703742291686676625634920859368475529132695141556843341368613869673967434335956687183158860440903012366912958876039439898268182830552514649801511511714368913564442444253068877542689944785655405798055020217251402761605075820394665096953077952693696863152195309089249203831503428992475893615720218901945501372365884157842653668157042231711002597253514218858144527913720884013072592277247466817487124468474539195703567698492457065864058199243850918830167699956650256831190191226368441110401561287608662828655811778264489849217229187444326676804534611990829632430823381136583932894439386033277428079812520275238109187826080652543751520023758952311132554656713061122677742058087870871584863936964113662501112537633998305247632722439299772363191613928296357437268167771707890770216240020986249607848435032446896657432039684578167389362873717331604620504762220005199191548613026638118091139902934077410440559458549746235287787466648721365913911897042208044298051439180206131867522060904325583254761731911141027132471532401430076721661759358680977983795297903467072802733833235772629831469075244287953599132818281433269761891113615285742746181715630861207349184768229392453765282311806884244848320689026554139501232071369306597555946628494340602658760754327997318917008134232080319278016443535133339499330997619360578320246567980752240192851636886058084311365020233689584820997969053816382475489734033207582774878596549811405673472938029970596821687565947064790940885592184796419698862652532929670455439238023773373046860304704311685434890656623093546823575002645869098953083031792061618734755251193293476872249887323990215042461888640057114841581235123922090146874507237620422642587012531423413652444544890614828360235105712851956044153812270560729397497733746696069981441213141658522147036291993620411769131956937822108743129080100649582581348139590399068255520842886176522551121619982967544179659540899231955417832403189646504971995522256283184997368983213652406357218490294128939083829224771312477670339633247043140428119107041870908003238646666376201738029544330898890490163395925557917509084220106593399610996486201287602524368039095311589979060475661903324694819232746283524249150852111557501452971037557655125843677872531329206844210940687043410717561720320600385224244586098451454164134340427584405470750809139343446480419115352935127748803431004264494018634589217447830288947744048309948865476531195267296994507936387879387180056651998217462233152961457701670563469369050026030827029673680822132829630517809037289302690657058851193374381451784312883955838825336383442508789100890486508071145488766976630889252874012596174037736839958818234341388872570284648586787816172608427708029162405552232388098383280998478951848358659796824352976477760484814729987013160561642303761610007153001774986622655918679729271719388265057546737827972354866169164600940389251651422404299778907463358489983896186921537448191130362355515661307237964836402930852846337841744057457069360287022666372314434487078682671803831750916892774550338394625413627576692001538360420380020754817221282012419692640718004600201517388956412772154734978357912599628326561226920405655130529149218203677946985293165009676880646365279029387243328540387755581513909762354047394124631112912104010404244276016039475928904600879307636205229736755452619032870795978380861968191538226663030753669559873923887343635324127849407082602021534155897172795006063286134872740157694217421073456157467201585294128257221103813717228933433498430152561955682419134949037940195936562213294993914721784331531279642742341625836984797824507933525995484918016110822521395911911848844268}
30182  485634606320915172580831359566605384771717720990114649931509022259160305704648415969230: {392197,663718,1146118,1295977,1689464,1900647,2050948,2197957,2262675,2378137,2413520,2471398,2591782,2715210,2832502,2896224,3258252,3674518,4035142,4275478,4942468,4996102,5356198,5787877,5881395,5966617,6273488,6555478,6680857,6967191,7057674,7108084,8294275,8921144,9068758,9880681,9953130,10024342,10036287,10345223,10365752,10411717,10616672,10711684,11295337,11455798,11661471,11813302,11943756,12529381,12870388,13955302,14778890,14811817,15736342,15744628,16035781,16138424,16726035,16907881,17580152,17734668,17778181,17841104,17897284,18125797,18155727,18342022,18531795,18696742,18933142,19021304,19767248,19777671,20047348,20071242,20704102,20896357,21112700,21398967,21758377,22238154,24939718,25057078,25335240,26112598,27024256,27166822,27517942,27553395,28502145,28843023,28928281,29390288,29435557,30046708,30161000,30205078,30402288,30616681,30758788,30830151,32059695,32418502,32633257,32700815,33064074,33522447,33697318,33931125,34084947,34197008,34202574,35090182,35353047,35438038,35901622,36137317,36193200,36249142,37154548,37310007,37463295,37629337,37984582,38471634,38562262,38606080,39022235,39136952,39240978,39509607,39907675,39960848,40717350,40924057,41088037,41743237,41906857,42233881,42820084,42824662,42827519,43431840,43743382,44029071,44202358,44416675,44546422,44566707,44955954,45164137,45234118,45778103,45973957,46293752,46327296,46351684,46459695,46715450,46826682,46836502,47588197,47821071,47889210,48068515,48860820,49557008,49836037,49876084,50031862,50795077,51081824,51397462,51738502,51910681,52080471,52118208,52445127,53022757,53300010,53328118,54348358,54400895,54798148,54801382,54862904,55208127,55746050,55751634,56058540,56337817,56723878,56853344,57239535,57467052,57682218,58530217,58622223,58632984,58917835,59092342,59309797,59776681,59795776,60217702,60406084,60717995,61055504,61116838,61182170,61229158,61720767,62101381,62243571,62434675,62564377,63080927,63642181,63780591,63960012,64143862,64282715,64926742,65281074,65397290,65962107,66050967,66245017,66397477,66895260,66936262,67270248,67493542,67939078,68144279,68687442,69607558,70388103,70486681,70517271,70591535,70701402,71272438,71330007,71354944,71927471,72823078,72861594,73376895,73418604,73928758,74776952,74921610,75143158,75679029,75732868,75929275,76156199,76245478,76426228,76893807,76897835,77139258,77857615,78268688,78442023,78476748,78774742,79104022,79520987,79888708,79916384,80274312,80672727,80843881,81076678,81230943,81384627,81887663,82061062,82170358,83201615,83371558,83450137,83871271,84124071,84169957,84457381,84709842,84916675,85115302,85649354,85659382,85901295,86589347,86637718,87031237,87045119,87289222,87403100,87723238,87779395,88052274,88698838,88734181,88915462,88932152,89158297,89240278,89345271,89722777,89905932,90115610,90145381,90308601,90538102,90579927,91115130,91509958,91628048,91832450,91833622,91941478,92176847,92277402,92588278,92667397,93363817,93424700,93429138,94335781,94847542,95062342,95805523,96257271,96681577,96769907,96933747,97189472,97348970,97643487,98461684,98597302,98734117,99024598,99344902,99841938,...,1383096478183250843696311240394223995441111075918630285670743795171126439738139827972750276663814980042235451066569339835255007296729863116274245153690419055486681915512236840149920153886969187400627194210296893164196175843529940886093435971762332781807732104293071693893914187960738456798242829974749178991961698495960587687765955348172649265400859054236610687181199656911388609569511920422160512311120143021369452248321849943176345313754137578777696510428513959154462070642442813925904851567885273631705440868369225671998384495673463094725112444848117095725109195233948747124927607850212084301868843913627086869767331181651388603553739319456509646132204854808052183897558278946227218849301543147941164404389107813775533433588049357056913161300527310360165206967896554376222090235769362436081127324223733460262202016264582291678836062103499935307173000266941105740895244169857440371523055825534617470294354690777126146409232424196286528374409159840359642616870110168838876135621524739657957058153787963835880508273773713195489881020988126263522823021961794964023188436983955471327393632352636808087517468836558558601754747062366482327855586357004782429219849368461129062621910151555613437530014938452381289052713293699042712335265012052920804510951151503935030774738290661354518550369438314059159847402274245828771974702267267571553370346663666379603316314034917178483108697082530325877104142407613730591997645429616929040545294728292963633873805747255143488713840423580328352918252058548826236763980502235563347566503895880271328287216791870581326019608888415871200226230686702711808793555351547738685598796087298865776378245251549934975385246785286839552661665602341931412994242983717667396734773825843781166490015206801917986244448646235071704875899341659079049916142119718780412857163781739120978815627280035638428466698831985069591684016613087131806307377295905446170493751668806450997457871449083658949658544787420892444536155902251657561836155324360031479374411772652548670344986148059526867251084044310575997406930757143330007798787322919539957177136709854401116115660839187824619352931681199973082048870867845563312066447077158770309197801283091356488374882142597866711540698707298602145115082492639038021466975692946855200609204100749853658944747203612866431930398699227422149904642836670422928614119272573446291811023777152344088680647923467710326367272481033539831209251848107053959896333919942741510903988141131491995978375512201348120478917024665302700009248996496429040867480369851971128360289277455329087126467047530350534377231496953580724573713234601049811374162317894824717108510209407044955895232531348920597186411328388277194629548293978799394505683158857035660059570290457056467528152335984934640320235362503968803648429624547688092428102132876789940215308374830985985322563692832960085672262371852685883135220311760856430633963880518797135120478666817335922242540352658569277934066230718405841094096246600620044104972161819712487783220554437990430617653697935406733163114693620150974373872022209385598602383281264329264783826682429974451316269489311348847933126748604784469757457993283384424777496053474820478609535827735441193408625743837156968716505509449870564710642178660562806362004857969999564302607044316496348335735245093888336876263626330159890099416494729301931403786552058642967384968590713492854987042228849119425286373726278167336252179456556336482688765516808796993810266316411030565116076342580480900577836366879147677181246201510641376608206126213709015169720628673029402691623205146506396741027951883826171745433421616072464923298214796792900945491761904581819080770084977997326193349729442186552505845204053575039046240544510521233199244445776713555933954035985588276790061572177676469325933758238004575163763183651335729762106718233150464946333879311018894261056605259938227351512083308855426972880181724258912641562043743608328348582147574921497718427772537989695236529464716640727222094980519740842463455642415010729502662479933983878019593907579082397586320106741958532299253746901410583877477133606449668361195037734975844280382306172286695543533273491960856947254604396279269506762616086185604040430533999558471651730618024007705747626375339161825507591938120441365038002307540630570031132225831923018629538961077006900302276083434619158232102467536868899442489841840380608482695793723827305516920477939747514515320969547918544080864992810581633372270864643531071091186946669368156015606366414024059213893356901318961454307844605133178928549306193967571292952287307339994546130504339810885831015452986191774110623903032301233845759192509094929202309110236541326131610184236200802377941192385831655720575843400150247645228842933523628702423556910293904843319942490872082676497296919464113512438755477196736761900288993227377024166233782093867867773266402}
30183  487139853009471650979314171481125808801357927296940109543945272941152580058679492567739: {60362,995577,1478281,1719177,2111830,2534196,2563685,3016900,3076422,3620280,3649481,3707097,3861632,3887673,4072815,4248753,4344336,4887378,5489302,5511777,6052713,6178085,6413217,7413702,7494153,7806001,7841860,8034297,8885105,9070033,9289588,9410232,9833217,10586511,10662126,11151430,12146017,12957190,13270840,13381716,13389605,13603137,14121121,14493973,14857541,14929695,15036513,15382633,15548628,15610966,15925008,15942473,16067526,16087985,16643641,17183697,17296342,17559377,17719953,17748337,17915634,19305582,19543337,19680785,20173030,20554798,20932953,21975190,22168335,22301380,22371605,22724806,23604513,23616942,23646224,23776630,23876437,24065081,24207636,24290422,24528262,24709060,25059185,25716502,26219713,26341486,26370228,26390875,26602002,26761656,26845926,27131813,27471257,27513033,28045113,28399713,28402217,28531956,28562053,29650872,29922382,30071022,30106863,30903457,31056153,31669050,31760182,32552153,33206566,33357231,33408881,33780320,34244833,34889377,34965742,35804357,36737860,37363337,37409577,37558385,37585617,37701250,38002860,38313481,38448485,38457364,39168897,40135297,40406278,40507033,40536384,40750233,41106868,41219221,41276913,41736217,42746260,43362382,44085432,44371822,44696596,45070062,45241500,45307617,45446596,45603432,46138182,46187206,46443185,47137396,47893873,48005041,48257600,48335782,48627753,48921190,49135337,49214446,49596111,49746676,49951060,50545977,51295512,51303861,52298158,52321304,52635273,52679476,53157057,53423566,53525105,53852433,54289800,54373713,54677321,55559062,55649353,55731822,56902081,56976873,57707451,57843393,57867190,57888718,57909120,57939605,58705428,58861467,59422276,59941272,60639526,61076025,61256533,61555337,61769728,61802806,61946260,62345105,62433622,62435576,63761428,63852280,64230126,64236993,65147760,65383397,65429833,65615073,66303537,66466601,66819633,67433931,67490926,67851177,68485102,68497685,68560966,68578630,69079222,69440628,69490944,69527526,69827057,69926836,69937541,70073175,70240023,70254753,70564117,71066680,71833815,72380897,73291230,73610836,74335512,74685862,74744720,74814126,75047793,75091846,75507605,75839062,76319380,76537078,76622736,76909624,77096193,77607753,77815633,78092153,78162964,78177312,79950015,79992177,80174542,81185518,81522537,82177537,82197222,82202073,82294356,82611881,82991428,83466886,83619075,83627451,84087810,84452182,85040788,85085817,85187206,85280016,86107297,86200578,86523327,86816353,87041432,87536681,87720142,87949476,88067956,88638513,89193680,89693664,90326553,90477377,90609126,91332502,91583256,91675257,91773255,91843737,92740462,93235841,93471190,93850804,94023028,94032017,94268536,94666085,95106676,95171566,95532785,95940018,96215793,96300017,97148792,97390113,97835860,97891472,97921611,98095935,98898742,99860885,99895480,...,2074644717274876265544466860591335993161666613877945428506115692756689659607209741959125414995722470063353176599854009752882510945094794674411367730535628583230022873268355260224880230830453781100940791315445339746294263765294911329140153957643499172711598156439607540840871281941107685197364244962123768487942547743940881531648933022258973898101288581354916030771799485367082914354267880633240768466680214532054178372482774914764517970631206368166544765642770938731693105963664220888857277351827910447558161302553838507997576743510194642087668667272175643587663792850923120687391411775318126452803265870440630304650996772477082905330608979184764469198307282212078275846337418419340828273952314721911746606583661720663300150382074035585369741950790965540247810451844831564333135353654043654121690986335600190393303024396873437518254093155249902960759500400411658611342866254786160557284583738301926205441532036165689219613848636294429792561613739760539463925305165253258314203432287109486935587230681945753820762410660569793234821531482189395284234532942692446034782655475933206991090448528955212131276203254837837902632120593549723491783379535507173643829774052691693593932865227333420156295022407678571933579069940548564068502897518079381206766426727255902546162107435992031777825554157471088739771103411368743157962053400901357330055519995499569404974471052375767724663045623795488815656213611420595887996468144425393560817942092439445450810708620882715233070760635370492529377378087823239355145970753353345021349755843820406992430825187805871989029413332623806800339346030054067713190333027321608028398194130948298664567367877324902463077870177930259328992498403512897119491364475576501095102160738765671749735022810202876979366672969352607557313849012488618574874213179578170619285745672608681468223440920053457642700048247977604387526024919630697709461065943858169255740627503209676496186807173625488424487817181131338666804233853377486342754232986540047219061617658978823005517479222089290300876626066465863996110396135714995011698180984379309935765705064781601674173491258781736929029397521799959623073306301768344968099670615738155463796701924637034732562323213896800067311048060947903217672623738958557032200463539420282800913806151124780488417120805419299647895598048841133224856964255005634392921178908860169437716535665728516133020971885201565489550908721550309746813877772160580939844500879914112266355982211697237993967563268302022180718375536997954050013873494744643561301220554777956692540433916182993630689700571295525801565847245430371086860569851901574717061243476842237075662765314110567433842848797023380895779616992582415791944322440968199091758524738285553490089355435685584701292228503977401960480353043755953205472644436821532138642153199315184910322962562246478977983845539249440128508393557779028824702830467641284645950945820778195702680718000226003883363810528987853916901099346077608761641144369900930066157458242729568731674830831656985645926480546903110099744672040430226461560808033314078397903574921896493897175740023644961676974404233967023271899690122907176704636186989925076637166244080212230717914303741603161790112938615755735453074758264174805847065963267990844209543007286954999346453910566474744522503602867640832505314395439495239835149124742093952897105679828087964451077452886070239282480563343273679137929560589417251004378269184834504724033148275213195490715399474616545847674114513870721350866754550318721515771869302265962064912309189320563522754580943009544104037434807719759595111541927825739257618150132424108697384947322195189351418237642856872728621155127466995989290024594163279828758767806080362558569360816765781849798866668665070333900931053978382415185092358266514703988900637357006862745644775477003594643160077349725697419500818966528341391584907889907341027268124963283140459320272586388368962343065615412492522873221362382246577641658806984542854794197074961090833142470779611263695183463622516094253993719900975817029390861368623596379480160112937798448880620352115875816215700409674502541792556602463766420573459258430043315299910237941285420881906594418904260143924129278406060645800999337707477595927036011558621439563008742738261387907180662047557003461310945855046698338747884527944308441615510350453414125151928737348153701305303349163734762760570912724043690585740958275380716909621271772981454321877816121297489215872450058406296965296606636780420004052234023409549621036088820840035351978442181461766907699768392823959290951356939428430961009991819195756509716328746523179479287661165935854548451850768638788763642393803463665354811989197415276354301203566911788578747483580863765100225371467843264400285443053635335365440857264979913736308124014745945379196170268658133215795105142850433489841065536249350673140801801659899603}
30184  488649738164230774584711213543085866617459843765045672759746355551144155094894270822106: {90543,693703,784394,1327436,1416439,2138023,2292236,2591954,3167745,3378928,3398023,3771125,3801294,4101896,4116439,4395914,4525350,4614633,4756274,4827040,4942796,5183564,5191903,5430420,5665004,5792448,6516504,7331067,7349036,7691239,7869223,8070284,8233953,8550956,9290503,9467839,9802325,9884936,9992204,10353439,10712396,11120553,11575754,11611985,11762790,11933234,12546976,12823543,13110956,13175263,13361714,13702303,13877839,13934382,14115348,14216168,15454423,15993189,16588550,16727145,17842288,18137516,18242839,19110439,19283743,19435785,19761362,19906260,20048684,20072574,20149183,20667583,20690446,20731504,20823434,21233344,21423368,22390903,22590674,22734703,22911596,23322942,23416449,23421439,23626604,23887512,24101289,24107023,25058762,25133239,25740776,25815943,25944513,25986439,26873451,27517663,27857143,27876725,27910604,28535239,28704583,28958373,29557780,29623634,30056743,30259545,30832197,30886325,30899503,31472684,31489256,32071562,32276848,32962785,33416983,33452070,33751423,33815762,34087209,35160304,35419303,35425413,35469336,35556362,35664945,35682208,35794568,36251594,36311454,36435633,36684044,36792393,37063590,37079983,37393484,37866284,38042608,38574753,39392839,39512229,39534496,39555342,39903003,40094696,40142484,40268889,41200183,41408204,41792714,42225400,42509143,42672439,42797934,43516754,43650703,44463943,44476308,44883573,45106533,45781141,45922325,46085023,46731439,47503575,47537839,47640273,48071705,48984823,49809849,49879436,50114156,50670480,51383585,52225196,52448613,53132239,53432825,53765983,53924239,54048512,54333644,54631129,55035884,55106790,55660303,55870745,56446543,56551875,56808245,57004290,57686046,57856562,58638439,58780576,58871114,58921745,60093416,60322000,60350743,60410156,60609417,60804576,61233362,61517576,61660302,62183345,62438825,62517439,62671663,63287839,64119390,64837004,64976383,65043573,65266514,65401630,65588239,65849345,66128148,66198943,66503863,66557733,66960703,67044894,67112839,67295921,67394636,67605093,67720663,67862250,67872439,68169894,68394016,68405148,69207273,69280809,69989743,70180364,70706094,70876076,71803244,72274634,72386400,72498284,72503673,72541783,73139239,73381785,73821669,74277845,74309096,74620014,74926590,75258674,75517543,75969164,76109239,76161253,76943268,77124524,77212160,77432825,78044470,78273904,78447237,78481956,79019214,79196743,79701785,79815350,79921696,80135349,81434700,81848114,82176074,82484969,82541863,83338593,83486474,83597733,83813714,83876837,84467762,85005193,85562839,85640168,85649324,85655038,86134663,86420143,86800785,86833077,86863680,87408545,87486764,87701239,88058142,88404716,88833350,89092844,89133414,89259103,89911908,89995801,90328274,90386623,90468236,90959289,91229239,91556206,91947914,92013545,92488303,92587504,92627839,92654592,92703368,92704209,92919390,93185263,93430900,93650433,93653364,93673004,94712239,95176394,95399225,95541463,95642142,95778420,95811881,96137030,96230503,96345189,96776329,97329223,97703705,97721640,98828149,99114016,99120593,99376903,99512839,99672074,99752168,...,2766192956366501687392622480788447990882222151837260571341487590342252879476279655945500553327629960084470902133138679670510014593459726232548490307380838110973363831024473680299840307773938374801254388420593786328392351687059881772186871943524665563615464208586143387787828375921476913596485659949498357983923396991921175375531910696345298530801718108473221374362399313822777219139023840844321024622240286042738904496643699886352690627508275157555393020857027918308924141284885627851809703135770547263410881736738451343996768991346926189450224889696234191450218390467897494249855215700424168603737687827254173739534662363302777207107478638913019292264409709616104367795116557892454437698603086295882328808778215627551066867176098714113826322601054620720330413935793108752444180471538724872162254648447466920524404032529164583357672124206999870614346000533882211481790488339714880743046111651069234940588709381554252292818464848392573056748818319680719285233740220337677752271243049479315914116307575927671761016547547426390979762041976252527045646043923589928046376873967910942654787264705273616175034937673117117203509494124732964655711172714009564858439698736922258125243820303111226875060029876904762578105426587398085424670530024105841609021902303007870061549476581322709037100738876628118319694804548491657543949404534535143106740693327332759206632628069834356966217394165060651754208284815227461183995290859233858081090589456585927267747611494510286977427680847160656705836504117097652473527961004471126695133007791760542656574433583741162652039217776831742400452461373405423617587110703095477371197592174597731552756490503099869950770493570573679105323331204683862825988485967435334793469547651687562332980030413603835972488897292470143409751798683318158099832284239437560825714327563478241957631254560071276856933397663970139183368033226174263612614754591810892340987503337612901994915742898167317899317089574841784889072311804503315123672310648720062958748823545305097340689972296119053734502168088621151994813861514286660015597574645839079914354273419708802232231321678375649238705863362399946164097741735691126624132894154317540618395602566182712976749764285195733423081397414597204290230164985278076042933951385893710401218408201499707317889494407225732863860797398454844299809285673340845857228238545146892583622047554304688177361295846935420652734544962067079662418503696214107919792667839885483021807976282262983991956751024402696240957834049330605400018497992992858081734960739703942256720578554910658174252934095060701068754462993907161449147426469202099622748324635789649434217020418814089911790465062697841194372822656776554389259096587957598789011366317714071320119140580914112935056304671969869280640470725007937607296859249095376184856204265753579880430616749661971970645127385665920171344524743705371766270440623521712861267927761037594270240957333634671844485080705317138555868132461436811682188192493201240088209944323639424975566441108875980861235307395870813466326229387240301948747744044418771197204766562528658529567653364859948902632538978622697695866253497209568939514915986566768849554992106949640957219071655470882386817251487674313937433011018899741129421284357321125612724009715939999128605214088632992696671470490187776673752527252660319780198832989458603862807573104117285934769937181426985709974084457698238850572747452556334672504358913112672965377531033617593987620532632822061130232152685160961801155672733758295354362492403021282753216412252427418030339441257346058805383246410293012793482055903767652343490866843232144929846596429593585801890983523809163638161540169955994652386699458884373105011690408107150078092481089021042466398488891553427111867908071971176553580123144355352938651867516476009150327526367302671459524213436466300929892667758622037788522113210519876454703024166617710853945760363448517825283124087487216656697164295149842995436855545075979390473058929433281454444189961039481684926911284830021459005324959867967756039187815158164795172640213483917064598507493802821167754954267212899336722390075469951688560764612344573391087066546983921713894509208792558539013525232172371208080861067999116943303461236048015411495252750678323651015183876240882730076004615081261140062264451663846037259077922154013800604552166869238316464204935073737798884979683680761216965391587447654611033840955879495029030641939095837088161729985621163266744541729287062142182373893338736312031212732828048118427786713802637922908615689210266357857098612387935142585904574614679989092261008679621771662030905972383548221247806064602467691518385018189858404618220473082652263220368472401604755882384771663311441151686800300495290457685867047257404847113820587809686639884981744165352994593838928227024877510954393473523800577986454754048332467564187735735546532804}
30185  490164275995639477287112277840995300905230652837449454033394305775390317849661456743038: {120724,1176591,1659295,1991154,2865295,2956562,3438354,3589159,3887931,4223660,4313023,5068392,5127370,5701941,6033800,6152844,6178495,6479455,6593871,6788025,7081255,7134411,7240560,7298962,7414194,7723264,7775346,8145630,8497506,8649319,8688672,9186295,9774756,10087855,10688695,10978604,11023554,12105426,12265759,12356170,12439147,12490255,12826434,13390495,13589983,14827404,14858527,14988306,15612002,15683720,15882199,15943531,16068594,16388695,16605487,17363631,17644185,17770210,17899851,18140066,18579176,18745447,18820464,19666434,20042571,20098711,20205823,20751991,20901573,21173022,21324252,22302860,22523179,22671895,23096671,23510443,24292034,24882825,25060855,25914380,26541680,26763432,26779210,26896267,27206274,27473083,27553099,28242242,28639495,28987946,29533255,29642043,29715082,29787691,29859390,30073026,30108861,30199327,30323791,30765266,31035669,31097256,31221932,31235151,31320247,31850016,31884946,32135052,32175970,32317687,32466031,33287282,33886011,34070443,34367394,34592684,34888255,34984413,35082859,35118754,35439906,35496674,35831268,36327079,36702871,36947225,37550911,37588143,38273623,38611164,39086674,39340855,39361570,39483223,40346060,40409527,40849771,41038567,41109596,41865906,41975659,43950380,44156671,44336670,44435451,44602760,44743210,45449612,45855055,46268311,46741855,47209026,47233884,47292448,47332855,47553260,47752874,48107343,48130162,48415272,48580844,49056524,49138603,49418120,49587079,50118370,50178105,50519431,50603143,50723643,51433004,51495967,51760255,52439426,52581739,52682972,52740456,52781750,53204004,53334543,53523312,53691852,53809723,53827879,54263626,54377391,54467181,54942514,55026066,55595385,55699327,56090226,56799426,56804434,57063912,57124106,57996919,58462927,59301744,59333013,59844764,60142044,60213726,61109947,61806914,62112306,62349295,62642695,62689071,62994283,63338100,63520364,64196901,65020459,65104306,65275131,65281495,65387743,65684287,66413132,66471019,66714462,66817762,67560640,67917055,68489666,68572831,68794855,69778754,69931484,70958527,71209771,71608714,73475720,74726674,74777659,74819154,74935147,75116770,75171234,75402500,75512695,76005720,76626962,76896970,76914728,77372683,78165487,78337794,80099359,80270594,80812556,81014066,81046255,81072768,81115447,81500466,82213736,82438442,82553826,82660185,83472434,84243295,84555967,84575359,85492520,85506435,86529069,86724764,86784843,87283147,87725455,88170864,88306671,88595095,88743644,89393192,89754055,90002503,90140124,90483000,90615234,90622855,90893192,91206864,91256527,91806763,91850043,92276364,92374412,92490453,92886370,94274792,94693579,94961455,94978567,95787746,95896759,96010082,96179085,96306463,96405655,96515200,96671564,97219543,97255506,97632223,97842380,97899771,98102445,98270674,98428892,98984287,99192222,99493352,99665899,99902120,...,4149289434549752531088933721182671986323333227755890857012231385513379319214419483918250829991444940126706353199708019505765021890189589348822735461071257166460045746536710520449760461660907562201881582630890679492588527530589822658280307915286998345423196312879215081681742563882215370394728489924247536975885095487881763063297866044517947796202577162709832061543598970734165828708535761266481536933360429064108356744965549829529035941262412736333089531285541877463386211927328441777714554703655820895116322605107677015995153487020389284175337334544351287175327585701846241374782823550636252905606531740881260609301993544954165810661217958369528938396614564424156551692674836838681656547904629443823493213167323441326600300764148071170739483901581931080495620903689663128666270707308087308243381972671200380786606048793746875036508186310499805921519000800823317222685732509572321114569167476603852410883064072331378439227697272588859585123227479521078927850610330506516628406864574218973871174461363891507641524821321139586469643062964378790568469065885384892069565310951866413982180897057910424262552406509675675805264241187099446983566759071014347287659548105383387187865730454666840312590044815357143867158139881097128137005795036158762413532853454511805092324214871984063555651108314942177479542206822737486315924106801802714660111039990999138809948942104751535449326091247590977631312427222841191775992936288850787121635884184878890901621417241765430466141521270740985058754756175646478710291941506706690042699511687640813984861650375611743978058826665247613600678692060108135426380666054643216056796388261896597329134735754649804926155740355860518657984996807025794238982728951153002190204321477531343499470045620405753958733345938705215114627698024977237149748426359156341238571491345217362936446881840106915285400096495955208775052049839261395418922131887716338511481255006419352992373614347250976848975634362262677333608467706754972685508465973080094438123235317957646011034958444178580601753252132931727992220792271429990023396361968758619871531410129563203348346982517563473858058795043599919246146612603536689936199341231476310927593403849274069465124646427793600134622096121895806435345247477917114064400927078840565601827612302249560976834241610838599295791196097682266449713928510011268785842357817720338875433071331457032266041943770403130979101817443100619493627755544321161879689001759828224532711964423394475987935126536604044361436751073995908100027746989489287122602441109555913385080867832365987261379401142591051603131694490860742173721139703803149434122486953684474151325530628221134867685697594046761791559233985164831583888644881936398183517049476571106980178710871371169402584457007954803920960706087511906410945288873643064277284306398630369820645925124492957955967691078498880257016787115558057649405660935282569291901891641556391405361436000452007766727621057975707833802198692155217523282288739801860132314916485459137463349661663313971291852961093806220199489344080860452923121616066628156795807149843792987794351480047289923353948808467934046543799380245814353409272373979850153274332488160424461435828607483206323580225877231511470906149516528349611694131926535981688419086014573909998692907821132949489045007205735281665010628790878990479670298249484187905794211359656175928902154905772140478564961126686547358275859121178834502008756538369669009448066296550426390981430798949233091695348229027741442701733509100637443031543738604531924129824618378641127045509161886019088208074869615439519190223083855651478515236300264848217394769894644390378702836475285713745457242310254933991978580049188326559657517535612160725117138721633531563699597733337330140667801862107956764830370184716533029407977801274714013725491289550954007189286320154699451394839001637933056682783169815779814682054536249926566280918640545172776737924686131230824985045746442724764493155283317613969085709588394149922181666284941559222527390366927245032188507987439801951634058781722737247192758960320225875596897761240704231751632431400819349005083585113204927532841146918516860086630599820475882570841763813188837808520287848258556812121291601998675414955191854072023117242879126017485476522775814361324095114006922621891710093396677495769055888616883231020700906828250303857474696307402610606698327469525521141825448087381171481916550761433819242543545962908643755632242594978431744900116812593930593213273560840008104468046819099242072177641680070703956884362923533815399536785647918581902713878856861922019983638391513019432657493046358958575322331871709096903701537277577527284787606927330709623978394830552708602407133823577157494967161727530200450742935686528800570886107270670730881714529959827472616248029491890758392340537316266431590210285700866979682131072498701346281603603319799206}
30186  491683480757426534992366614891307663999749506911697274303560555502064081277273050605561: {150905,181086,512873,1387406,1416533,1568788,1597049,2017973,2198249,2498549,2654872,2678633,2832878,2918633,2986731,3817493,4176533,4276046,4434843,4584472,4714553,5157531,5183908,5192249,5279575,5907833,6335490,6757856,6796046,6800693,7157333,7542250,7602588,7691055,8047673,8203792,8232878,8791828,9050700,9172853,9229266,9350249,9512548,9654080,9885592,10367128,10383806,10413113,10531049,10860840,10943573,10948443,11121291,11330008,11414549,11584896,11663019,11826233,12218445,12746259,12883049,13033008,13723255,13761749,14662134,14698072,14930549,15382478,15513749,15738446,16140568,16256779,16467906,16503353,16535331,17101912,17374613,17722613,18128249,18158139,18244073,18301973,18534255,18581006,18935678,19239651,19458293,19604650,19769872,19984408,20706878,21424792,21589049,21876149,22241106,22277753,22482459,23137013,23151508,23223970,23418003,23423033,23525580,23866468,24102891,24165749,24622133,25021049,25093952,25191893,25647086,25874549,26221912,26350526,26655315,26723428,27210099,27404606,27755678,27868764,27878575,28230696,28432336,28537193,29499651,29552249,29721173,30115049,30283733,30564713,30908846,30957749,31759533,31986378,32246393,32392975,32637749,33177100,33454290,33475049,33753749,35684576,35809913,36275032,36419093,36438051,36485678,36916793,37744853,38075573,38220878,38295893,38567486,38871570,39027415,39522724,39560249,39812520,40097368,40145148,40168815,40298366,40809411,41039093,41203049,41335166,41380892,41463008,41646868,42363363,42466688,42566549,42729833,42846736,43001813,43240855,43481919,43653749,44196149,44572623,44629493,44781806,44789085,44845973,45109539,45170453,45181348,45278549,45469406,45823192,45926453,46088249,46147899,46465493,46645884,46734713,46832898,46842878,47253208,47594873,47775024,47827419,48202578,48214046,48238649,48263955,48667193,49041749,49682933,49843049,49930923,50117524,50266478,50432575,50482793,50642549,51386995,51481552,51551091,51631886,51889026,51972878,52678131,52871573,53135993,53159859,53188853,53245011,53453033,53746902,53928053,54937975,55035326,55714286,55753450,55821208,56450549,56812015,57070478,57409166,57916746,58017749,58630011,58642613,58694633,58954613,59042355,59115560,59247268,59441575,59733353,60113486,60519090,60726055,61320655,61646549,61664394,61772650,61799006,62573333,62676149,62798859,62945368,62978512,63292373,63343673,63958649,64143124,64291255,64553696,65134133,65853715,65925570,66101993,66254549,66505005,66508649,66833966,66904140,67114815,67269749,67300387,67502846,67624313,67631524,67877333,68174418,70195733,70320608,70813539,70838606,70850826,70938672,71112724,71329890,71364416,71589136,71629311,71937019,72195243,72503188,72622908,72871266,72895733,73144553,73194293,73368088,73584786,73641593,74127180,74159966,74187413,74385653,74786968,74805955,74930153,75177555,75424313,75732568,76085216,76114793,76410233,77147573,77149506,78078953,78219043,78659139,78785678,78812213,79024458,79068992,79110684,79172625,79202549,79348793,79400455,79531543,79787093,79806006,80189392,80284968,80537778,81395439,82400366,82413771,82490443,82539099,82816408,83016415,83462453,83558549,83585428,84135339,84182393,84421973,84450800,85018286,85199139,85206651,85344878,85595868,85616873,85686159,87033508,87056683,87301406,87414355,87755093,88888853,88927886,88952616,89265749,89767146,89830133,90213066,90320589,90440249,91562282,91844650,92170046,92189083,92215913,92402153,92541749,92681273,92710371,93168459,93377813,93462878,93794873,94253125,94303733,94765493,95007150,95075678,95280546,96008249,96143410,97382249,97656459,97929833,97969646,98612693,99127171,99565673,99619698,99758872,99792053,...,6223934151824628796633400581774007979484999841633836285518347078270068978821629225877376244987167410190059529799562029258647532835284384023234103191606885749690068619805065780674640692491361343302822373946336019238882791295884733987420461872930497518134794469318822622522613845823323055592092734886371305463827643231822644594946799066776921694303865744064748092315398456101248743062803641899722305400040643596162535117448324744293553911893619104499634296928312816195079317890992662666571832055483731342674483907661515523992730230530583926263006001816526930762991378552769362062174235325954379358409797611321890913952990317431248715991826937554293407594921846636234827539012255258022484821856944165735239819750985161989900451146222106756109225852372896620743431355534494692999406060962130962365072959006800571179909073190620312554762279465749708882278501201234975834028598764358481671853751214905778616324596108497067658841545908883289377684841219281618391775915495759774942610296861328460806761692045837261462287231981709379704464594446568185852703598828077338104347966427799620973271345586865636393828609764513513707896361780649170475350138606521520931489322158075080781798595682000260468885067223035715800737209821645692205508692554238143620299280181767707638486322307976095333476662472413266219313310234106229473886160202704071990166559986498708214923413157127303173989136871386466446968640834261787663989404433276180682453826277318336352432125862648145699212281906111477588132134263469718065437912260060035064049267531461220977292475563417615967088239997871420401018038090162203139570999081964824085194582392844895993702103631974707389233610533790777986977495210538691358474093426729503285306482216297015249205068430608630938100018908057822671941547037465855724622639538734511857857237017826044404670322760160372928100144743932813162578074758892093128383197831574507767221882509629029488560421520876465273463451543394016000412701560132459028262698959620141657184852976936469016552437666267870902629878199397591988331188407144985035094542953137929807297115194344805022520473776345210787088192565399878869219918905305034904299011847214466391390105773911104197686969641690400201933144182843709653017871216875671096601390618260848402741418453374341465251362416257898943686794146523399674570892765016903178763536726580508313149606997185548399062915655604696468652726164650929240441633316481742819533502639742336799067946635091713981902689804906066542155126610993862150041620484233930683903661664333870077621301748548980892069101713886577404697541736291113260581709555704724151183730430526711226988295942331702301528546391070142687338850977747247375832967322904597275275574214856660470268066307056754103876685511932205881441059131267859616417933310464596415926459597945554730968887686739436933951536617748320385525180673337086474108491402923853937852837462334587108042154000678011650091431586963561750703298038232826284923433109702790198472374728188706195024492494970956937779441640709330299234016121290679384682424099942235193710724765689481691527220070934885030923212701901069815699070368721530113908560969775229911498732240636692153742911224809485370338815847267206359224274792524417541197889803972532628629021860864998039361731699424233567510808602922497515943186318485719505447374226281858691317039484263893353232358658210717847441690029821037413788681768251753013134807554503514172099444825639586472146198423849637543022343541612164052600263650956164547315607906797886194736927567961690568263742829028632312112304423159278785334625783477217772854450397272326092154841966585568054254712928570618185863465382400987967870073782489839486276303418241087675708082450297345549396600005995211001702793161935147245555277074799544111966701912071020588236934326431010783929480232049177092258502456899585024174754723669722023081804374889849421377960817759165106887029196846237477568619664087146739732924976420953628564382591224883272499427412338833791085550390867548282761981159702927451088172584105870789138440480338813395346641861056347627448647101229023507625377669807391299261720377775290129945899730713823856262645719783256712780431772387835218181937402998013122432787781108034675864318689026228214784163721541986142671010383932837565140095016243653583832925324846531051360242375455786212044461103915910047491204288281712738172131071757222874826142150728863815318944362965633448363892467647617350175218890895889819910341260012156702070228648863108266462520106055935326544385300723099305178471877872854070818285292883029975457587269529148986239569538437862983497807563645355552305916366290927181410390996064435967592245829062903610700735365736242450742591295300676114403529793200856329160906006096322571794939741208924372044237836137588510805974399647385315428551300469523196608748052019422405404979698809}
30187  493207366746733624515327214667699004945466574307003764902059318188085267538352607166043: {30187,241448,271629,1960985,2081109,2323013,2353182,3318590,3982308,4011413,4249317,5097209,5730590,5913124,6414069,6479885,6876708,7178318,7775862,8447320,8626046,8649893,9071237,9503235,9913757,10136784,10194069,10254740,10989785,11313375,11403882,11890685,12067600,12266573,12305688,12349317,12356990,12860813,12958910,13187742,13576050,13843899,14122997,14162510,14252909,14268822,14481120,14495897,14597924,14828388,14964173,15446528,15550692,15575709,15883253,16060889,16291260,16606589,16995012,17298638,17377344,17486357,17750693,18372590,18746693,18953657,19549512,20175710,21377390,21484829,21957208,21993201,22047108,22190333,22944173,23073717,23607669,23879609,24172709,24210852,24531518,24701859,24712340,24878294,24980510,25652868,26154293,26780990,27179966,27785069,27871509,28403517,28939385,29406975,29654808,29717054,29833085,29976612,31060317,31223033,31224004,31367440,31740653,31764398,31887062,32137188,32468189,32777390,33210974,33361659,33404285,33752189,34287317,34546493,34727262,34835955,35085197,35288370,35540420,35799702,36280132,37158352,37350377,37490894,37640928,38470629,39332868,39525789,40085142,40095293,40140629,40197422,40265069,40411646,40412213,40600853,41106909,41224697,41346557,41471375,41503982,41633517,41803146,42234509,42346044,42648504,43868813,44605720,45046358,45163589,45343790,45675353,46193342,46363269,46379477,47020886,47979567,48584068,48843557,49403405,49459229,49607597,49765650,50121710,50181435,50522789,51726115,51828760,52058585,52349117,53071589,53083360,53241593,53526864,53558420,53792534,53813309,54412548,54728517,54946166,55047413,55077197,55106198,55420853,56476685,56484484,57278990,57331317,57851229,57975892,58307355,58466813,59020217,59066510,59284086,59430164,59575382,59718780,60146052,60217722,60398654,60447549,60647582,60826037,61530532,62002749,62071338,62194512,62252189,62443864,62470302,62494853,62640494,62646905,63593309,63653909,63700032,63769892,64197077,64270104,64351940,64635374,64932062,65438597,65688653,66265997,66574564,67172709,67772022,67910873,68140886,68204109,68577389,68734788,69185368,69776510,69968826,70165718,70237508,70249347,70264317,70879812,70993348,71662536,72303867,72321069,72464357,72654158,73405742,73894450,74059085,74447789,75101822,75176286,75399717,75436493,76547246,77222328,77447829,77833539,77959317,78173348,78681710,78723140,78966446,79306589,80104697,80178905,80620353,80692120,80819054,81699542,82077134,82219192,82552989,83571429,83630175,83731812,83951318,84539405,85605717,86113749,86875119,87289013,87699773,87897533,87900760,88313342,88373597,88673340,88870902,88890905,89205520,89486420,89522813,90170229,90387413,90628985,90778635,90899224,91394093,91710110,92276153,92496591,92536622,92658975,92698509,93483710,94392869,94418052,94467768,94584896,94665710,95083877,95106520,95505748,96214686,96260324,96312797,96830544,97161688,98113048,98277206,98836240,98888355,99174158,99952697,...,8298578869099505062177867442365343972646666455511781714024462771026758638428838967836501659982889880253412706399416039011530043780379178697645470922142514332920091493073421040899520923321815124403763165261781358985177055061179645316560615830573996690846392625758430163363485127764430740789456979848495073951770190975763526126595732089035895592405154325419664123087197941468331657417071522532963073866720858128216713489931099659058071882524825472666179062571083754926772423854656883555429109407311641790232645210215354031990306974040778568350674669088702574350655171403692482749565647101272505811213063481762521218603987089908331621322435916739057876793229128848313103385349673677363313095809258887646986426334646882653200601528296142341478967803163862160991241807379326257332541414616174616486763945342400761573212097587493750073016372620999611843038001601646634445371465019144642229138334953207704821766128144662756878455394545177719170246454959042157855701220661013033256813729148437947742348922727783015283049642642279172939286125928757581136938131770769784139130621903732827964361794115820848525104813019351351610528482374198893967133518142028694575319096210766774375731460909333680625180089630714287734316279762194256274011590072317524827065706909023610184648429743968127111302216629884354959084413645474972631848213603605429320222079981998277619897884209503070898652182495181955262624854445682383551985872577701574243271768369757781803242834483530860932283042541481970117509512351292957420583883013413380085399023375281627969723300751223487956117653330495227201357384120216270852761332109286432113592776523793194658269471509299609852311480711721037315969993614051588477965457902306004380408642955062686998940091240811507917466691877410430229255396049954474299496852718312682477142982690434725872893763680213830570800192991910417550104099678522790837844263775432677022962510012838705984747228694501953697951268724525354667216935413509945371016931946160188876246470635915292022069916888357161203506504265863455984441584542859980046792723937517239743062820259126406696693965035126947716117590087199838492293225207073379872398682462952621855186807698548138930249292855587200269244192243791612870690494955834228128801854157681131203655224604499121953668483221677198591582392195364532899427857020022537571684715635440677750866142662914064532083887540806261958203634886201238987255511088642323759378003519656449065423928846788951975870253073208088722873502147991816200055493978978574245204882219111826770161735664731974522758802285182103206263388981721484347442279407606298868244973907368948302651061256442269735371395188093523583118467970329663167777289763872796367034098953142213960357421742742338805168914015909607841921412175023812821890577747286128554568612797260739641291850248985915911935382156997760514033574231116115298811321870565138583803783283112782810722872000904015533455242115951415667604397384310435046564577479603720264629832970918274926699323326627942583705922187612440398978688161720905846243232133256313591614299687585975588702960094579846707897616935868093087598760491628706818544747959700306548664976320848922871657214966412647160451754463022941812299033056699223388263853071963376838172029147819997385815642265898978090014411470563330021257581757980959340596498968375811588422719312351857804309811544280957129922253373094716551718242357669004017513076739338018896132593100852781962861597898466183390696458055482885403467018201274886063087477209063848259649236757282254091018323772038176416149739230879038380446167711302957030472600529696434789539789288780757405672950571427490914484620509867983957160098376653119315035071224321450234277443267063127399195466674660281335603724215913529660740369433066058815955602549428027450982579101908014378572640309398902789678003275866113365566339631559629364109072499853132561837281090345553475849372262461649970091492885449528986310566635227938171419176788299844363332569883118445054780733854490064377015974879603903268117563445474494385517920640451751193795522481408463503264862801638698010167170226409855065682293837033720173261199640951765141683527626377675617040575696517113624242583203997350829910383708144046234485758252034970953045551628722648190228013845243783420186793354991538111777233766462041401813656500607714949392614805221213396654939051042283650896174762342963833101522867638485087091925817287511264485189956863489800233625187861186426547121680016208936093638198484144355283360141407913768725847067630799073571295837163805427757713723844039967276783026038865314986092717917150644663743418193807403074555155054569575213854661419247956789661105417204814267647154314989934323455060400901485871373057601141772214541341461763429059919654945232496058983781516784681074632532863180420571401733959364262144997402692563207206639598412}
30188  494735948304246777010511188634763959175190950538224877733802096852890384021694204117380: {211267,301810,362172,573211,1025746,2378611,2774812,2833066,2918827,3137576,3194098,3529773,4035946,4396498,4977885,4997098,5309744,5357266,5665756,5837266,5967811,5973462,6860611,7217227,7391405,7634986,8107507,8353066,8552092,8595885,8869686,9168944,9173467,9429106,10059787,10315062,10367816,10384498,10559150,10767477,11663793,11815666,12670980,12818425,12939069,13515712,13592092,13601386,14314666,15084500,15205176,15382110,16095346,16213627,16407584,16465756,17085547,17105823,17583656,17781787,17955667,18101400,18247405,18303211,18345706,18458532,18535485,18700498,19025096,19212557,19308160,19438365,19517347,19771184,19781613,20364075,20734256,20767612,20826226,21062098,21243765,21403233,21721680,21887146,21896886,22107187,22242582,22660016,22829098,23138587,23169792,23326038,23652466,24436890,25492518,25705747,25766098,25947957,26066016,26898211,27408187,27446510,27523498,27558885,28256707,29103427,29324268,29396144,29441611,29779507,29861098,30263565,30622987,30764956,30890425,31027498,31476892,31632787,32066085,32281136,32513558,32807611,32935812,33006706,33070662,33978907,34203824,34749226,35445226,36256498,36316278,36488146,36603946,36797277,36974611,37068510,37162012,37317441,37470765,37871356,38133307,38479302,38916586,39030005,39209300,39539744,39782467,39968816,40171485,40275811,40769949,41096611,41413756,41915611,42849584,43178098,43752298,43873867,44425525,44482212,44555506,44575581,44849107,44964918,45350165,45659827,45983611,46274026,46303016,46447940,46836006,46846066,47051160,47646597,47732936,47830593,48205782,48331498,49166085,49244266,49526227,49816461,50006611,50042098,50187904,50383786,50486347,51124987,51294172,51749098,52090893,52443824,52701052,52932555,53192611,53310630,53446856,53699553,54420198,54638381,54809212,55511356,55737528,55757150,56035387,56236341,56461392,56864672,57074386,58698811,58999302,59104498,59442346,59789467,59944987,60127713,60230098,60296133,60537197,60566347,60567466,60617469,60730085,61129426,61817692,61915498,62114707,62255973,62704719,63348211,63519066,63809587,63972756,64492786,64785950,65189827,65275498,65954107,66354200,66411811,66908580,66948025,66950098,67507498,67569537,67629187,68015685,69290013,70531329,70605605,70652467,71369152,71619826,71941793,72469865,72550064,72838186,72876102,72901027,72971356,73199611,73833586,74287705,74391067,74648475,74985067,75182565,75489706,76151146,76441756,76465027,76591786,76913165,77134972,77743140,77937787,78054830,79045448,79120498,79536821,79549507,79625040,79712365,80194736,80290296,80337630,80439925,80596732,80688801,81618822,82078186,82406098,82419249,82659297,82670332,82761784,82926016,83035747,83218205,83293736,83468611,84476107,84726726,84933376,85016477,85133098,85459666,85693472,85848917,85918485,86003626,86481710,86963838,87050611,87307498,87796885,88392298,88599765,88741685,88895467,88926129,89145246,89258986,89363073,89563612,89578170,89691946,90007757,90219078,90326583,90340906,90362696,90557098,90597981,90938812,90971373,91646384,91852906,92176498,92195201,92295798,92409067,92930986,93107007,93291768,93469426,93665796,93685756,93705453,93960741,94357027,94495627,94506416,95189746,95550048,95654838,96405156,96428092,96428467,96477298,96527910,96953061,97334386,97398093,97716685,97800427,98083498,98210611,98403925,98892811,99365866,99686098,99861846,...,12447868303649257593266801163548015958969999683267672571036694156540137957643258451754752489974334820380119059599124058517295065670568768046468206383213771499380137239610131561349281384982722686605644747892672038477765582591769467974840923745860995036269588938637645245045227691646646111184185469772742610927655286463645289189893598133553843388607731488129496184630796912202497486125607283799444610800081287192325070234896649488587107823787238208999268593856625632390158635781985325333143664110967462685348967815323031047985460461061167852526012003633053861525982757105538724124348470651908758716819595222643781827905980634862497431983653875108586815189843693272469655078024510516044969643713888331470479639501970323979800902292444213512218451704745793241486862711068989385998812121924261924730145918013601142359818146381240625109524558931499417764557002402469951668057197528716963343707502429811557232649192216994135317683091817766578755369682438563236783551830991519549885220593722656921613523384091674522924574463963418759408929188893136371705407197656154676208695932855599241946542691173731272787657219529027027415792723561298340950700277213043041862978644316150161563597191364000520937770134446071431601474419643291384411017385108476287240598560363535415276972644615952190666953324944826532438626620468212458947772320405408143980333119972997416429846826314254606347978273742772932893937281668523575327978808866552361364907652554636672704864251725296291398424563812222955176264268526939436130875824520120070128098535062922441954584951126835231934176479995742840802036076180324406279141998163929648170389164785689791987404207263949414778467221067581555973954990421077382716948186853459006570612964432594030498410136861217261876200037816115645343883094074931711449245279077469023715714474035652088809340645520320745856200289487865626325156149517784186256766395663149015534443765019258058977120843041752930546926903086788032000825403120264918056525397919240283314369705953872938033104875332535741805259756398795183976662376814289970070189085906275859614594230388689610045040947552690421574176385130799757738439837810610069808598023694428932782780211547822208395373939283380800403866288365687419306035742433751342193202781236521696805482836906748682930502724832515797887373588293046799349141785530033806357527073453161016626299213994371096798125831311209392937305452329301858480883266632963485639067005279484673598135893270183427963805379609812133084310253221987724300083240968467861367807323328667740155242603497097961784138203427773154809395083472582226521163419111409448302367460861053422453976591884663404603057092782140285374677701955494494751665934645809194550551148429713320940536132614113508207753371023864411762882118262535719232835866620929192831852919195891109461937775373478873867903073235496640771050361346674172948216982805847707875705674924669174216084308001356023300182863173927123501406596076465652569846866219405580396944749456377412390048984989941913875558883281418660598468032242581358769364848199884470387421449531378963383054440141869770061846425403802139631398140737443060227817121939550459822997464481273384307485822449618970740677631694534412718448549585048835082395779607945065257258043721729996078723463398848467135021617205844995031886372636971439010894748452563717382634078968527786706464717316421435694883380059642074827577363536503506026269615109007028344198889651279172944292396847699275086044687083224328105200527301912329094631215813595772389473855135923381136527485658057264624224608846318557570669251566954435545708900794544652184309683933171136108509425857141236371726930764801975935740147564979678972552606836482175351416164900594691098793200011990422003405586323870294491110554149599088223933403824142041176473868652862021567858960464098354184517004913799170048349509447339444046163608749779698842755921635518330213774058393692474955137239328174293479465849952841907257128765182449766544998854824677667582171100781735096565523962319405854902176345168211741578276880960677626790693283722112695254897294202458047015250755339614782598523440755550580259891799461427647712525291439566513425560863544775670436363874805996026244865575562216069351728637378052456429568327443083972285342020767865675130280190032487307167665850649693062102720484750911572424088922207831820094982408576563425476344262143514445749652284301457727630637888725931266896727784935295234700350437781791779639820682520024313404140457297726216532925040212111870653088770601446198610356943755745708141636570585766059950915174539058297972479139076875725966995615127290711104611832732581854362820781992128871935184491658125807221401470731472484901485182590601352228807059586401712658321812012192645143589879482417848744088475672275177021611948799294770630857102600939046393217496104038844810809959397618}
30189  496269239814328227120956513236746834139478049866245073320471246614518697122270824307017: {60374,452715,482896,543258,1538619,2745379,3468515,3921970,4162218,4249599,4646026,4706364,4791147,5640107,6053919,6594747,6637180,7082195,7495647,7964616,8022826,8035899,8498634,8755899,8960193,9071839,10194418,10690115,11452479,11461180,11826248,12529599,12828138,12959770,13304529,13591787,13753416,14143659,14356636,14496859,15385699,15472593,15551724,15576747,15838725,16646959,16844347,16894640,16990115,17252092,17299786,17723499,17751871,18142474,18855625,19006470,19547231,19827514,20101379,20273568,20388138,20402079,20509480,20582195,21183499,21471999,21979570,22626750,22807764,23073165,23781370,24135200,24143019,24533146,24611376,24698634,24713980,25721626,25917820,25959515,26224939,26375484,27137219,27152100,27518559,27687798,28050747,28245994,28325020,28505818,28537644,28567747,28962240,28991794,29195848,29457131,29656776,29928346,30203339,30893056,30909619,31101384,31151418,31239339,31593147,31766506,32121778,32558639,32582520,32830719,32845329,33213178,33363873,33990024,34243647,34597276,34754688,34896331,34972714,34989057,35393567,35478699,35501386,35811491,36655335,36707747,36745180,37493386,37907314,38238777,38321119,38456195,38649147,39099024,39346115,40351420,40515139,41044019,41169765,41285247,41744539,41766319,42455579,42754780,42969658,43297727,43914416,43986402,44094216,44380666,44791647,45166591,45888346,46147434,46452515,46541247,46765999,47215338,47339195,47759218,47903419,48345418,48421704,48770337,49011625,49063036,49217531,49403718,49424680,49510059,49605993,49756588,49961020,51305736,51631907,51767195,52123839,52308586,53167839,53561980,54359932,54384747,54474417,54732219,54905919,55130207,55570138,55602765,55660447,55743018,56807034,56913427,57718953,57743339,57878770,58059925,58374879,58813950,59309616,59434108,59666170,59953224,61953251,62120634,62446066,62448008,62499007,62734880,63481306,63528796,63597547,63774124,64117715,64274376,64767147,64936378,65554780,65628447,65876315,66421948,66723318,66808570,66833259,67447377,67504378,67915387,68511515,68574634,69092986,69164767,69389195,69411039,69454524,69671910,70170394,70254009,70269099,70576740,71080840,71599404,72308673,72416561,72497247,72560264,72785291,72882019,73866399,73975199,74316704,74700754,74951699,74981788,75063147,75227347,75281856,75575679,76941258,77272115,77613251,77623647,78665736,79051578,79067359,79965945,80170284,80190586,80281258,80394844,80530138,80823292,80824426,81201706,81630297,82213818,82449394,82628447,82693114,82942750,83007964,83267034,83606292,83635725,84469018,84586667,84692088,85297008,85611579,87705667,87737626,88042811,88498953,88656747,89152219,89163519,89211440,89528779,90092716,90327178,90345147,90687580,90851199,91214195,91350706,91694139,92386684,92726538,92758954,92873247,94041772,94621379,95278599,95552195,95959134,96418715,96739179,97168136,97178925,97687114,97913247,98464019,98806810,98918458,99215194,99531300,...,18671802455473886389900201745322023938454999524901508856555041234810206936464887677632128734961502230570178589398686087775942598505853152069702309574820657249070205859415197342023922077474084029908467121839008057716648373887654201962261385618791492554404383407956467867567841537469969166776278204659113916391482929695467933784840397200330765082911597232194244276946195368303746229188410925699166916200121930788487605352344974232880661735680857313498902890784938448585237953672977987999715496166451194028023451722984546571978190691591751778789018005449580792288974135658308086186522705977863138075229392833965672741858970952293746147975480812662880222784765539908704482617036765774067454465570832497205719459252955485969701353438666320268327677557118689862230294066603484078998218182886392887095218877020401713539727219571860937664286838397249126646835503603704927502085796293075445015561253644717335848973788325491202976524637726649868133054523657844855175327746487279324827830890583985382420285076137511784386861695945128139113393783339704557558110796484232014313043899283398862919814036760596909181485829293540541123689085341947511426050415819564562794467966474225242345395787046000781406655201669107147402211629464937076616526077662714430860897840545303122915458966923928286000429987417239798657939930702318688421658480608112215970499679959496124644770239471381909521967410614159399340905922502785362991968213299828542047361478831955009057296377587944437097636845718334432764396402790409154196313736780180105192147802594383662931877426690252847901264719993614261203054114270486609418712997245894472255583747178534687981106310895924122167700831601372333960932485631616074075422280280188509855919446648891045747615205291825892814300056724173468015824641112397567173867918616203535573571711053478133214010968280481118784300434231798439487734224276676279385149593494723523301665647528887088465681264562629395820390354630182048001238104680397377084788096878860424971554558930809407049657312998803612707889634598192775964993565221434955105283628859413789421891345583034415067561421329035632361264577696199636607659756715915104712897035541643399174170317321733312593060908925071200605799432548531128959053613650627013289804171854782545208224255360123024395754087248773696831060382439570199023712678295050709536290610179741524939448820991556645197188746966814089405958178493952787721324899949445228458600507919227010397203839905275141945708069414718199626465379832981586450124861452701792051710984993001610232863905245646942676207305141659732214092625208873339781745128667114172453551191291580133680964887826995106904585639173210428062016552933241742127498901968713791825826722644569981410804198921170262311630056535796617644323177393803578849253799931393789247779378793836664192906663060218310801854609853244961156575542020011259422325474208771561813558512387003761324126462002034034950274294760890685252109894114698478854770299329108370595417124184566118585073477484912870813338324922127990897702048363872038154047272299826705581132174297068445074581660212804655092769638105703209447097211106164590341725682909325689734496196721910076461228733674428456111016447541801619077672824377573252623593669411917597885887065582594994118085195098272700702532425808767492547829558955457158516342122678845576073951118452791680059697075974632153542325070089463112241366045304755259039404422663510542516298334476918759416438595271548912629067030624836492157800790952868493641946823720393658584210782703885071704791228487085896936336913269477836356003877350431653318563351191816978276464525899756704162764138785711854557590396147202963903610221347469518458828910254723263027124247350892036648189800017985633005108379485805441736665831224398632335900105736213061764710802979293032351788440696147531276775507370698755072524264171009166069245413124669548264133882453277495320661087590538712432705858992261440219198774929262860885693147773674649817498282237016501373256651172602644848285943479108782353264517752317612367415321441016440186039925583169042882345941303687070522876133009422173897785161133325870389837699192141471568787937159349770138341295317163505654545812208994039367298363343324104027592956067078684644352491164625958428013031151798512695420285048730960751498775974539593154080727126367358636133383311747730142473612864845138214516393215271668624478426452186591445956833088896900345091677402942852050525656672687669459731023780036470106210685946589324799387560318167805979633155902169297915535415633618562212454855878649089926372761808587446958718708615313588950493422690936066656917749098872781544231172988193307902776737487188710832102206097208727352227773885902028343210589379602568987482718018288967715384819223626773116132713508412765532417923198942155946285653901408569589826244156058267216214939096427}
30190  497807255705148659029568632577900779717599340411682283530050719551187411294472181492593: {90561,422534,603620,724344,814887,874669,1146422,1597261,2051492,2138449,3038989,3937729,4757222,5371969,5549624,5666132,5837654,5882955,6243327,6275152,6388196,6969039,7059546,7870801,8048749,8071892,8296475,8792996,9292369,9469741,9955770,9994196,10347967,10532461,10619488,10714532,11331512,11674532,11935622,11945389,11946924,12034239,12747951,12826129,13353709,13721222,13880641,14326475,14434454,14782810,15269972,15291627,15457549,16215014,16505581,16706132,17104184,17191770,17739372,17945795,18246541,18337888,18346934,18858212,19242207,19287661,19439655,19460929,20119574,20630124,20735632,20768996,21118300,21534954,21565115,22395469,23327586,23631332,24283201,25138381,25309201,25341960,25546367,25636850,25878138,25949679,25991761,27031424,27184184,27202772,27213711,27693121,28509705,28629332,28710481,29741271,30169000,30410352,30582207,30764220,30892475,30905869,32190692,32397275,32427254,32815168,32931512,32969355,33758401,33940125,34171094,34211646,34259629,35167312,35406275,35563574,35593069,35672055,35911334,36202800,36494810,36606422,36691412,36799719,36917064,37047951,37070970,37253389,37400996,38050192,38080849,38425114,38582439,38616320,38876730,39034694,39542368,39563226,39565741,40728150,41372689,41468512,41531697,41535224,41652452,42124196,42368991,42487530,42681361,42758727,42806466,42844621,43246595,43443360,43487691,43774292,43793772,44214374,44485164,44635729,44892519,44960449,45284881,45320032,45658196,45931475,46256449,46277174,46339584,46652076,46727127,47304932,47649759,48182667,48352621,48873780,49819767,50439275,50756161,50985036,51411494,51532196,51895914,52132032,52459071,52984849,53252079,53443475,53777389,53796422,53935681,54093901,54642007,54816374,54893020,55046996,55117770,55829569,56240079,56513414,56860971,57086401,57399889,58206854,58494829,58648536,58792288,58883222,59559014,59722196,60527130,61245974,61328795,61529912,61758481,61780850,62054996,62195735,62451275,62530861,62685121,62953784,63265574,63455341,63490231,64070221,64132170,64454487,64562272,65027116,65143489,65615222,65871624,65979603,66013412,66141324,66213229,66570999,66670609,66952475,66975169,67127341,67279441,67735309,67887121,67949915,67957814,68407648,68832519,69221151,69498452,70306321,70823007,70890452,71208769,71638827,71958829,72512996,72518127,72632556,72976292,73207892,73304401,73594554,73949222,74105577,74137020,74292635,74324024,74495569,74634882,74941530,75237709,75534061,75742712,76266614,76958604,77833172,78060010,78188269,78418600,78462879,79079488,79360429,79410995,79564934,79717655,79937632,80342970,80551622,81539898,81545809,81835969,81943475,82193222,82827512,83027435,83355207,83570881,83614527,83831222,85022119,85210551,85699168,86356196,86439361,86582029,86818155,87504596,87747734,88220925,88713409,88851050,88964424,89111012,89151162,89420269,89499255,89698214,89929836,90700330,90828589,91249681,91319654,91389901,91967222,92509069,92548052,92606032,92648641,92895880,93180951,93206209,93669099,93672012,93692132,93727235,94102320,94733581,95221959,95293194,95465872,95563021,95661186,96114541,96411564,96662996,97404567,97488301,98035789,98332170,98488532,98847847,99052454,99535441,99632922,...,24895736607298515186533602327096031917939999366535345142073388313080275915286516903509504979948669640760238119198248117034590131341137536092936412766427542998760274479220263122698562769965445373211289495785344076955531165183538935949681847491721990072539177877275290490090455383293292222368370939545485221855310572927290578379787196267107686777215462976258992369261593824404994972251214567598889221600162574384650140469793298977174215647574476417998537187713251264780317271563970650666287328221934925370697935630646062095970920922122335705052024007266107723051965514211077448248696941303817517433639190445287563655811961269724994863967307750217173630379687386544939310156049021032089939287427776662940959279003940647959601804584888427024436903409491586482973725422137978771997624243848523849460291836027202284719636292762481250219049117862998835529114004804939903336114395057433926687415004859623114465298384433988270635366183635533157510739364877126473567103661983039099770441187445313843227046768183349045849148927926837518817858377786272743410814395312309352417391865711198483893085382347462545575314439058054054831585447122596681901400554426086083725957288632300323127194382728001041875540268892142863202948839286582768822034770216952574481197120727070830553945289231904381333906649889653064877253240936424917895544640810816287960666239945994832859693652628509212695956547485545865787874563337047150655957617733104722729815305109273345409728503450592582796849127624445910352528537053878872261751649040240140256197070125844883909169902253670463868352959991485681604072152360648812558283996327859296340778329571379583974808414527898829556934442135163111947909980842154765433896373706918013141225928865188060996820273722434523752400075632231290687766188149863422898490558154938047431428948071304177618681291040641491712400578975731252650312299035568372513532791326298031068887530038516117954241686083505861093853806173576064001650806240529836113050795838480566628739411907745876066209750665071483610519512797590367953324753628579940140378171812551719229188460777379220090081895105380843148352770261599515476879675621220139617196047388857865565560423095644416790747878566761600807732576731374838612071484867502684386405562473043393610965673813497365861005449665031595774747176586093598698283571060067612715054146906322033252598427988742193596251662622418785874610904658603716961766533265926971278134010558969347196271786540366855927610759219624266168620506443975448600166481936935722735614646657335480310485206994195923568276406855546309618790166945164453042326838222818896604734921722106844907953183769326809206114185564280570749355403910988989503331869291618389101102296859426641881072265228227016415506742047728823525764236525071438465671733241858385663705838391782218923875550746957747735806146470993281542100722693348345896433965611695415751411349849338348432168616002712046600365726347854247002813192152931305139693732438811160793889498912754824780097969979883827751117766562837321196936064485162717538729696399768940774842899062757926766108880283739540123692850807604279262796281474886120455634243879100919645994928962546768614971644899237941481355263389068825436897099170097670164791559215890130514516087443459992157446926797696934270043234411689990063772745273942878021789496905127434765268157937055573412929434632842871389766760119284149655154727073007012052539230218014056688397779302558345888584793695398550172089374166448656210401054603824658189262431627191544778947710271846762273054971316114529248449217692637115141338503133908871091417801589089304368619367866342272217018851714282472743453861529603951871480295129959357945105213672964350702832329801189382197586400023980844006811172647740588982221108299198176447866807648284082352947737305724043135717920928196708369034009827598340096699018894678888092327217499559397685511843271036660427548116787384949910274478656348586958931699905683814514257530364899533089997709649355335164342201563470193131047924638811709804352690336423483156553761921355253581386567444225390509794588404916094030501510679229565197046881511101160519783598922855295425050582879133026851121727089551340872727749611992052489731151124432138703457274756104912859136654886167944570684041535731350260560380064974614335331701299386124205440969501823144848177844415663640189964817153126850952688524287028891499304568602915455261275777451862533793455569870590469400700875563583559279641365040048626808280914595452433065850080424223741306177541202892397220713887511491416283273141171532119901830349078116595944958278153751451933991230254581422209223665465163708725641563984257743870368983316251614442802941462944969802970365181202704457614119172803425316643624024385290287179758964835697488176951344550354043223897598589541261714205201878092786434992208077689621619918795236}
30191  499350010448819850600774047380465365668141193502861247246418874100590463362074027109810: {120748,633801,754525,905430,965792,1086516,1719633,2564365,3077238,3650449,4855921,5490758,6303649,6665581,6937030,7082665,7135833,7843940,7985245,8324436,8499198,8756481,9292052,9412728,9582294,9915073,10089865,10589319,10991245,11280214,12107838,12492745,13189494,13274360,13393165,13592689,14164390,14254801,14593165,14933655,14966161,14991294,15578761,15929232,16045652,16063021,16071798,16997268,17511798,17903433,17920386,18143678,18956173,19087465,20102713,20209849,20388836,20581833,20882665,21002701,21380230,21487681,21651681,22174215,22193281,22904958,22922360,23101273,23515129,23572765,23652496,23786161,24322521,25059198,25341853,25656276,25787655,25919540,25961245,26397875,26609058,27183574,27478561,27506832,27520401,28287318,28713272,28815073,28993718,29459089,29539165,30179361,30329833,30771398,30945186,31103448,31153494,31227181,31677450,32302431,33293918,33688694,33756673,33789280,33980230,34003465,34504184,34599572,34812973,34991379,35446998,35503742,35786665,36055129,36284948,36334321,36343321,37558393,37711250,38012940,38281249,38455275,38817207,39094462,39655028,40202758,40238365,40547136,40776276,40804158,40857913,41018960,41164390,41828761,42366998,42458401,42943998,43874641,43959140,45253500,45615528,45681421,45864265,46146330,46277533,46751245,47450353,47562740,48270400,48286038,48640881,49066292,49148401,49222752,49397268,49427960,49878169,50613229,51170041,51256641,51317469,51443252,51506233,51835640,51919030,52065565,52449878,52654321,52655245,52750968,53345361,53838673,53867001,54274438,54304200,54671713,54717865,54742215,54909633,55037118,55084561,55133881,55375596,55606455,56101494,56491988,56650040,57011636,57072745,57075288,57135494,57637671,57706249,57924480,57983588,58008481,58166173,58315095,58391696,58552041,58914262,59131165,59313552,59344839,59856692,60406678,61092225,61786112,61819238,61957369,62202768,62302836,62478678,63006889,63186294,63533012,63698413,63731295,64209699,64243556,64415245,64536673,64871473,64973161,65033521,65117278,65153881,65165040,65400781,65661438,65690658,66225889,66274873,66321561,66426356,66484273,66727746,67088401,67980048,68487294,68616275,68808745,69194552,69415761,69509376,69792662,69945428,69978114,70787134,70957398,71002772,71622982,72474073,72790129,73310670,73415494,73490360,74652745,74956681,74986772,75252589,75357913,75814628,76335793,76477554,76642238,76754161,76912390,77117241,77298294,77568745,77843871,78198048,78692230,80694633,80702840,81030278,81283895,82088038,82224561,82339530,82516765,82570494,82676655,82965889,83160481,83489078,83532638,84770121,84911158,85509560,85939316,86549881,86595454,86873065,87310281,87828832,87972804,88188432,88324833,88613065,88761332,89338521,89583294,89764801,89786233,90333182,90641245,90790695,91220365,91509865,91776692,91868961,92226841,92294868,92348041,92671275,92905030,93082494,93531998,94114729,94430676,94678390,94898361,95518436,95806838,95916121,96002713,96198255,96690836,96843408,97144873,97291465,97354801,97399969,97540674,97651801,98023250,98126072,98422833,98435062,98807436,98849360,99020118,99211986,99513176,99922040,99966061,...,37343604910947772779800403490644047876909999049803017713110082469620413872929775355264257469923004461140357178797372175551885197011706304139404619149641314498140411718830394684047844154948168059816934243678016115433296747775308403924522771237582985108808766815912935735135683074939938333552556409318227832782965859390935867569680794400661530165823194464388488553892390736607492458376821851398333832400243861576975210704689948465761323471361714626997805781569876897170475907345955975999430992332902388056046903445969093143956381383183503557578036010899161584577948271316616172373045411955726276150458785667931345483717941904587492295950961625325760445569531079817408965234073531548134908931141664994411438918505910971939402706877332640536655355114237379724460588133206968157996436365772785774190437754040803427079454439143721875328573676794498253293671007207409855004171592586150890031122507289434671697947576650982405953049275453299736266109047315689710350655492974558649655661781167970764840570152275023568773723391890256278226787566679409115116221592968464028626087798566797725839628073521193818362971658587081082247378170683895022852100831639129125588935932948450484690791574092001562813310403338214294804423258929874153233052155325428861721795681090606245830917933847856572000859974834479597315879861404637376843316961216224431940999359918992249289540478942763819043934821228318798681811845005570725983936426599657084094722957663910018114592755175888874195273691436668865528792805580818308392627473560360210384295605188767325863754853380505695802529439987228522406108228540973218837425994491788944511167494357069375962212621791848244335401663202744667921864971263232148150844560560377019711838893297782091495230410583651785628600113448346936031649282224795134347735837232407071147143422106956266428021936560962237568600868463596878975468448553352558770299186989447046603331295057774176931362529125258791640780709260364096002476209360794754169576193757720849943109117861618814099314625997607225415779269196385551929987130442869910210567257718827578843782691166068830135122842658071264722529155392399273215319513431830209425794071083286798348340634643466625186121817850142401211598865097062257918107227301254026579608343709565090416448510720246048791508174497547393662120764879140398047425356590101419072581220359483049878897641983113290394377493933628178811916356987905575442649799898890456917201015838454020794407679810550283891416138829436399252930759665963172900249722905403584103421969986003220465727810491293885352414610283319464428185250417746679563490257334228344907102382583160267361929775653990213809171278346420856124033105866483484254997803937427583651653445289139962821608397842340524623260113071593235288646354787607157698507599862787578495558757587673328385813326120436621603709219706489922313151084040022518844650948417543123627117024774007522648252924004068069900548589521781370504219788229396957709540598658216741190834248369132237170146954969825741626676649844255981795404096727744076308094544599653411162264348594136890149163320425609310185539276211406418894194422212329180683451365818651379468992393443820152922457467348856912222032895083603238155345648755146505247187338823835195771774131165189988236170390196545401405064851617534985095659117910914317032684245357691152147902236905583360119394151949264307084650140178926224482732090609510518078808845327021085032596668953837518832877190543097825258134061249672984315601581905736987283893647440787317168421565407770143409582456974171793872673826538955672712007754700863306637126702383633956552929051799513408325528277571423709115180792294405927807220442694939036917657820509446526054248494701784073296379600035971266010216758971610883473331662448797264671800211472426123529421605958586064703576881392295062553551014741397510145048528342018332138490826249339096528267764906554990641322175181077424865411717984522880438397549858525721771386295547349299634996564474033002746513302345205289696571886958217564706529035504635224734830642882032880372079851166338085764691882607374141045752266018844347795570322266651740779675398384282943137575874318699540276682590634327011309091624417988078734596726686648208055185912134157369288704982329251916856026062303597025390840570097461921502997551949079186308161454252734717272266766623495460284947225729690276429032786430543337248956852904373182891913666177793800690183354805885704101051313345375338919462047560072940212421371893178649598775120636335611959266311804338595831070831267237124424909711757298179852745523617174893917437417230627177900986845381872133313835498197745563088462345976386615805553474974377421664204412194417454704455547771804056686421178759205137974965436036577935430769638447253546232265427016825531064835846397884311892571307802817139179652488312116534432429878192854}
30192  500897518561527716803832069278869163668775164796922496729540423444683472171112281751539: {150935,181122,331991,693887,845068,934991,1207240,1358145,1448688,1597367,1629774,1749338,1777847,2198687,2292844,2378927,2499047,2679167,3039191,3099167,3194522,4102984,4276898,4615857,4894727,5372327,5431991,6077978,6980447,7875458,8108591,8236137,9292991,9352127,9514444,9804925,10405545,10710047,10743938,11099248,11122487,11332264,11593367,11615065,11675308,11765910,12486654,12550304,12748797,12776392,12826991,12885647,13061567,13938078,14119092,14373441,15108647,15458591,15516887,15741602,16097498,16143784,16592950,16681127,16920321,17552207,17585992,18161757,18305687,18584738,18939482,19519991,19784241,19911540,19988392,20057065,20385191,20695934,20903447,21064922,21191087,21238976,21246585,21429064,21765767,22486941,22626287,22663024,23349064,23770847,23871244,23890778,23893848,24068478,24107697,24341927,25026167,25124113,25197047,25486045,25495902,25652258,25822991,26267697,26707418,26880579,27215517,27442444,27525191,27761282,28373591,28652950,28712447,28868908,28938191,29558327,29565620,29727287,30191161,30289967,30539944,30583254,30907991,30915098,30964127,31132487,31749191,32070345,32399425,32430028,32812127,33011162,33412264,33983591,34208368,34357437,34383540,35151527,35478744,35650991,35891590,36426647,36493082,36675776,36693868,37090247,37311191,37588797,37716424,38138591,38484414,38575322,38879310,38921858,39913587,40239148,40281407,40775361,41211647,41260248,41375567,41471264,41537992,42236600,42430977,42520991,42738767,43069908,43130230,43249465,43490577,43662887,43879991,44205407,44368007,44790938,44963591,45356185,45774191,46097927,46157097,46259687,46313591,46417779,46655172,46730241,47262664,47516175,48248807,48409607,48566402,49568785,49853567,49940877,50013647,50276762,50533041,50618402,50653247,50683920,50812967,50970345,51092734,51273700,51756276,51899358,51983522,53041487,53170497,53255613,54062848,54097727,54368368,54405544,54427422,54948925,55386242,55676087,56566875,56671991,57019410,57142727,57258664,57420962,58186487,58498991,58551047,58641693,59278991,59453425,59482542,60057191,60304137,60338000,60545233,60574991,60820704,61164414,61206237,61332865,61528440,61746585,61784950,61811738,62586767,62895191,63459887,63550497,64304065,64381384,64381847,64415997,64794550,64854508,65199191,65630336,65863024,65938710,66268847,66421367,66523007,66675407,67516802,67740191,67880250,68195447,68342188,68423292,68519258,69219495,69305567,70210967,70334624,70614985,70812550,71127148,71186138,71264545,71344110,71822668,71964047,72405600,72429057,72479485,72989620,73212844,73309727,73382824,73599438,73806647,73834128,74095902,74141940,74500991,74506778,74550527,74801992,74820865,76100384,76161698,76850228,77164878,77232640,77753460,77878545,78069388,78674817,79084736,79126452,79131482,79366247,79416265,80096567,80304445,80436767,81411657,81456300,81600191,82555677,82745378,82759007,82937024,83032945,83063394,83070448,83304904,83577047,83721167,84152241,84248392,84440687,84737982,84975060,85362722,85517454,85612932,85689242,85703241,85860313,85921991,86493190,86886720,86975382,87074029,87431785,87548584,87587544,88058591,88371393,88428748,88720007,88753465,88767191,88970328,89050127,89271458,89426927,89473991,89756207,89785038,89920898,90132047,90413591,90569762,90610017,90640064,90882191,91316392,91862950,91863647,92512898,92515991,92554348,92562527,92679168,92702087,92728857,93213191,93304152,93398807,93454254,93676991,93718017,93733465,94609864,94768285,94779441,94786847,95129881,95299518,96365334,96442991,96705242,97675917,97747560,97815191,98492157,98535987,98771447,99406991,99588287,99639534,...,56015407366421659169700605235966071815364998574704526569665123704430620809394663032896386204884506691710535768196058263327827795517559456209106928724461971747210617578245592026071766232422252089725401365517024173149945121662962605886784156856374477663213150223869403602703524612409907500328834613977341749174448789086403801354521191600992295248734791696582732830838586104911238687565232777097500748600365792365462816057034922698641985207042571940496708672354815345755713861018933963999146488499353582084070355168953639715934572074775255336367054016348742376866922406974924258559568117933589414225688178501897018225576912856881238443926442437988640668354296619726113447851110297322202363396712497491617158377758866457909104060315998960804983032671356069586690882199810452236994654548659178661285656631061205140619181658715582812992860515191747379940506510811114782506257388879226335046683760934152007546921364976473608929573913179949604399163570973534565525983239461837974483492671751956147260855228412535353160585087835384417340181350019113672674332389452696042939131697850196588759442110281790727544457487880621623371067256025842534278151247458693688383403899422675727036187361138002344219965605007321442206634888394811229849578232988143292582693521635909368746376900771784858001289962251719395973819792106956065264975441824336647911499039878488373934310718414145728565902231842478198022717767508356088975904639899485626142084436495865027171889132763833311292910537155003298293189208371227462588941210340540315576443407783150988795632280070758543703794159980842783609162342811459828256138991737683416766751241535604063943318932687772366503102494804117001882797456894848222226266840840565529567758339946673137242845615875477678442900170172520404047473923337192701521603755848610606720715133160434399642032904841443356352901302695395318463202672830028838155448780484170569904996942586661265397043793687888187461171063890546144003714314041192131254364290636581274914663676792428221148971938996410838123668903794578327894980695664304865315850886578241368265674036749103245202684263987106897083793733088598909822979270147745314138691106624930197522510951965199937779182726775213601817398297645593386877160840951881039869412515564347635624672766080369073187262261746321090493181147318710597071138034885152128608871830539224574818346462974669935591566240900442268217874535481858363163974699848335685375801523757681031191611519715825425837124208244154598879396139498944759350374584358105376155132954979004830698591715736940828028621915424979196642277875626620019345235386001342517360653573874740401042894663480985320713756917519631284186049658799725226382496705906141375477480167933709944232412596763510786934890169607389852932969532181410736547761399794181367743338136381509992578719989180654932405563829559734883469726626060033778266976422626314685440675537161011283972379386006102104850822884282672055756329682344095436564310897987325111786251372553698355755220432454738612440014974766383972693106145091616114462141816899480116743396522891205335223744980638413965278308914317109628341291633318493771025177048727977069203488590165730229383686201023285368333049342625404857233018473132719757870781008235752793657661196747784982354255585294818102107597277426302477643488676866371475549026368036536728221853355358375040179091227923896460626975210268389336724098135914265777118213267990531627548895003430756278249315785814646737887201091874509476473402372858605480925840471161180975752632348111655215114373685461257690809010739808433509068011632051294959955690053575450934829393577699270112488292416357135563672771188441608891710830664042408555376486730764169789081372742052676109944569400053956899015325138457416325209997493673195897007700317208639185294132408937879097055365322088442593830326522112096265217572792513027498207736239374008644792401647359832485961983262771616137298117576976784320657596324787788582657079443321023949452494846711049504119769953517807934544857830437326347059793553256952837102245964323049320558119776749507128647037823911061211568628399028266521693355483399977611169513097576424414706363811478049310415023885951490516963637436626982118101895090029972312082778868201236053933057473493877875284039093455395538086260855146192882254496327923618779462242181379102075908400149935243190427420838594535414643549179645815005873435279356559774337870499266690701035275032208828556151576970018063008379193071340109410318632057839767974398162680954503417938899467706507893746606246900855686637364567635947269779118285425762340876156125845940766851480268072808199970753247296618344632693518964579923708330212461566132496306618291626182056683321657706085029631768138807706962448154054866903146154457670880319348398140525238296597253769596826467838856961704225708769478732468174801648644817289281}
30193  502449794603665753612700424753737811753049921183924228100645116161707020516333419612481: {241496,271683,1056335,1267602,1509050,1810860,1931584,2173032,2444661,2624007,2866055,3439266,3590111,4314167,4791783,5128730,6154476,6415347,7300898,7449767,9116967,9711842,9915731,10981516,11179343,11813187,11893055,12607298,13331162,13874060,14125811,14165330,14255747,14271666,14594135,15387743,15687880,15970490,16064087,16115907,16648872,16846583,16998396,17489843,17512962,17648865,18411263,18584104,18729981,18750431,18825456,18957431,19164588,19830146,20179730,20430431,20907117,21178638,21186311,21489107,21982490,22027223,22560428,23473607,23612403,23884367,24146247,24177527,24215676,24889425,24985490,25643183,26159507,26228423,26378988,26548720,26722451,26786330,27089567,27185378,27790607,27877107,28328780,28409223,28509602,29186330,29235731,29839055,29867310,29932322,29982588,31043901,31157522,31597383,31858464,32091304,32126042,32143596,32474663,33001871,33994536,34294151,34303055,34815287,34900967,35023596,35806866,35836167,35840772,36086135,36102717,36287356,36345743,36957025,37357823,37912346,38174930,38243853,38478387,40061127,40148627,40205426,40419698,40420271,40537535,40608947,40777672,41163666,41232911,41354831,41641923,41765330,42005402,42242927,42610607,42760460,42975362,42979425,43303362,44348430,44386562,45809916,45844720,45867335,45874881,46202546,46372647,46388723,47030258,47145530,47304992,47453507,47572322,47604851,47909783,48645042,49469087,49516743,50101331,50118396,50298935,50532863,50683706,51312552,51575310,51839080,51922490,52359551,52795750,53082167,53218116,53252207,53837385,54367148,54675347,54739623,54957122,55013664,55040802,55058387,56333711,56574636,57426544,57630146,57726621,57862983,57987436,58318965,58382787,58478471,58848947,58918178,58946927,59031983,59078330,60358722,60659666,60838163,61542796,61890372,62206896,62306988,62454362,63354900,63666647,63702647,64092125,64209971,64604862,64695345,65158223,65451743,65632787,65701751,66230291,66587836,67186407,67377388,67513346,67578560,67960460,68006930,68091407,68591063,69008368,69199144,69625946,69982758,70893996,71007484,71573330,72110258,72503411,72569896,72668642,72686642,72849603,72891791,73489427,73717343,74462687,74590631,75116786,75257591,75415143,75422500,75927603,76025880,76340867,76562498,76605011,76639101,76786463,76910550,77634414,77849037,77975283,78188924,78923447,79310056,79901843,80405516,80476730,81068135,81094272,81552552,81608316,81641133,81715826,82037920,82328780,82783631,83079363,83166023,83657522,84733996,84916802,85427735,85529115,85887996,86131443,87749282,87918280,88908935,89223813,89778335,90181343,90507000,90709463,91231056,91237025,91362842,91516055,91728530,91746621,92292660,92555066,92677425,92717607,92944067,93502490,94900706,95125480,95978387,96062785,96332243,96540800,96572076,97191825,97281762,97586735,98132584,98296802,98374223,98445504,98794536,98855920,98908065,99756338,...,74687209821895545559600806981288095753819998099606035426220164939240827745859550710528514939846008922280714357594744351103770394023412608278809238299282628996280823437660789368095688309896336119633868487356032230866593495550616807849045542475165970217617533631825871470271366149879876667105112818636455665565931718781871735139361588801323060331646388928776977107784781473214984916753643702796667664800487723153950421409379896931522646942723429253995611563139753794340951814691911951998861984665804776112093806891938186287912762766367007115156072021798323169155896542633232344746090823911452552300917571335862690967435883809174984591901923250651520891139062159634817930468147063096269817862283329988822877837011821943878805413754665281073310710228474759448921176266413936315992872731545571548380875508081606854158908878287443750657147353588996506587342014414819710008343185172301780062245014578869343395895153301964811906098550906599472532218094631379420701310985949117299311323562335941529681140304550047137547446783780512556453575133358818230232443185936928057252175597133595451679256147042387636725943317174162164494756341367790045704201663278258251177871865896900969381583148184003125626620806676428589608846517859748306466104310650857723443591362181212491661835867695713144001719949668959194631759722809274753686633922432448863881998719837984498579080957885527638087869642456637597363623690011141451967872853199314168189445915327820036229185510351777748390547382873337731057585611161636616785254947120720420768591210377534651727509706761011391605058879974457044812216457081946437674851988983577889022334988714138751924425243583696488670803326405489335843729942526464296301689121120754039423677786595564182990460821167303571257200226896693872063298564449590268695471674464814142294286844213912532856043873121924475137201736927193757950936897106705117540598373978894093206662590115548353862725058250517583281561418520728192004952418721589508339152387515441699886218235723237628198629251995214450831558538392771103859974260885739820421134515437655157687565382332137660270245685316142529445058310784798546430639026863660418851588142166573596696681269286933250372243635700284802423197730194124515836214454602508053159216687419130180832897021440492097583016348995094787324241529758280796094850713180202838145162440718966099757795283966226580788754987867256357623832713975811150885299599797780913834402031676908041588815359621100567782832277658872798505861519331926345800499445810807168206843939972006440931455620982587770704829220566638928856370500835493359126980514668456689814204765166320534723859551307980427618342556692841712248066211732966968509995607874855167303306890578279925643216795684681049246520226143186470577292709575214315397015199725575156991117515175346656771626652240873243207418439412979844626302168080045037689301896835086247254234049548015045296505848008136139801097179043562741008439576458793915419081197316433482381668496738264474340293909939651483253353299688511963590808193455488152616189089199306822324528697188273780298326640851218620371078552422812837788388844424658361366902731637302758937984786887640305844914934697713824444065790167206476310691297510293010494374677647670391543548262330379976472340780393090802810129703235069970191318235821828634065368490715382304295804473811166720238788303898528614169300280357852448965464181219021036157617690654042170065193337907675037665754381086195650516268122499345968631203163811473974567787294881574634336843130815540286819164913948343587745347653077911345424015509401726613274253404767267913105858103599026816651056555142847418230361584588811855614440885389878073835315641018893052108496989403568146592759200071942532020433517943221766946663324897594529343600422944852247058843211917172129407153762784590125107102029482795020290097056684036664276981652498678193056535529813109981282644350362154849730823435969045760876795099717051443542772591094698599269993128948066005493026604690410579393143773916435129413058071009270449469661285764065760744159702332676171529383765214748282091504532037688695591140644533303481559350796768565886275151748637399080553365181268654022618183248835976157469193453373296416110371824268314738577409964658503833712052124607194050781681140194923843005995103898158372616322908505469434544533533246990920569894451459380552858065572861086674497913705808746365783827332355587601380366709611771408202102626690750677838924095120145880424842743786357299197550241272671223918532623608677191662141662534474248849819423514596359705491047234349787834874834461254355801973690763744266627670996395491126176924691952773231611106949948754843328408824388834909408911095543608113372842357518410275949930872073155870861539276894507092464530854033651062129671692795768623785142615605634278359304976624233068864859756385708}
30194  504006853179968883580905382265359006534834349101520158531314988946289083550775837883119: {211309,301870,362244,392353,663982,1387774,1690136,1838113,1869982,1901403,2263575,2414480,2716290,2897376,2919409,3099373,3194734,3259548,3498676,3555694,4397374,4585688,4757854,4998094,5158899,5358334,5432353,6078382,6198334,6326413,6389044,7693095,8205968,8287009,8553796,9231714,9352753,9789454,9884653,10744654,10863982,10951347,12155956,12886513,13726895,13960894,14567763,15517933,15750916,16217182,16261091,16472274,17342575,17959309,18133153,18585982,18704254,18910947,19028888,19609850,19996743,20811090,21247995,21407499,21420094,21487876,22111693,22198496,22244974,22283809,22664528,23186734,23230130,23350616,23531820,23829613,23955735,24973308,25100608,25497594,25552784,25653982,25771294,25881613,26123134,26269443,26563309,27876156,28079891,28200535,28238184,28746882,29745219,29785633,30217294,30269595,30917182,30966253,31033774,31483204,31767957,31807393,32194996,32287568,32479009,32973735,33185900,33362254,33840642,33985933,35104414,35171984,35410975,35680463,36323514,36611374,37169476,37478235,37878964,38306509,39039982,39568482,39790753,39823080,39976784,40114130,40144291,40179495,40770382,40778067,40941133,41391868,41806894,42129844,42251533,42382174,42477952,42493170,42578413,42764403,42858128,43531534,43779495,43883053,44800965,44858509,44898483,44973882,45252574,45326048,45359195,45669409,46316833,46698128,46736283,47285809,47541694,47742488,47781556,47787696,48136956,48189063,48215394,48683854,49696909,50052334,50248226,50394094,50656813,50972090,50991804,51135793,51304516,51645982,52535394,53414836,53450575,53710299,53761158,54431034,54884888,55050382,55522564,56204593,56676013,56747182,56868519,57262395,57305900,57424894,57737816,57876382,58555213,59116654,59131240,59335153,59454574,59957809,60113293,60308139,60382322,60549251,60579934,60629547,61079888,61166508,61745499,61815982,61830196,61928254,62264974,62647995,62899693,63008103,63498382,63498659,63976993,64140690,64437613,64463043,64798850,64860056,64955043,65356909,65624254,65968333,66022324,66121009,66522645,66579843,66824528,67958935,67967182,68416736,68714874,68767080,69303819,69310573,69396299,69763633,70303054,70545387,70718295,70957488,71301982,71358483,71783180,72484295,72853294,72967563,72986164,73351552,73387736,74180494,74407309,74555953,74622382,75177594,75432848,75890509,76025559,76277182,76629409,76928495,76968828,77150644,77362965,77513713,77758620,77843716,77883735,78101809,79193625,79567009,79827174,80442673,80478296,80562814,81550722,82423294,82435683,82520496,82561203,82751134,82942528,83075984,83198509,83234795,84221735,84473200,84494833,84861954,84950575,85041982,85477534,85499053,85866011,86139816,86260460,86445219,86498930,86981154,87325774,87759982,88377267,88410814,88617495,88736014,88759355,88773793,89056753,89480653,89581876,89927182,90025691,90185713,90467233,90538083,90712370,90989499,91548382,92195854,92314194,92429809,92519374,92569453,92627182,92835558,93310344,93460482,93681543,93684013,94278125,94516909,94525328,95032350,96497614,96587809,96819214,96907293,97132804,97736155,97959409,98860979,99137570,99707134,99770363,99881754,...,112030814732843318339401210471932143630729997149409053139330247408861241618789326065792772409769013383421071536392116526655655591035118912418213857448923943494421235156491184052143532464844504179450802731034048346299890243325925211773568313712748955326426300447738807205407049224819815000657669227954683498348897578172807602709042383201984590497469583393165465661677172209822477375130465554195001497200731584730925632114069845397283970414085143880993417344709630691511427722037867927998292976998707164168140710337907279431869144149550510672734108032697484753733844813949848517119136235867178828451376357003794036451153825713762476887852884875977281336708593239452226895702220594644404726793424994983234316755517732915818208120631997921609966065342712139173381764399620904473989309097318357322571313262122410281238363317431165625985721030383494759881013021622229565012514777758452670093367521868304015093842729952947217859147826359899208798327141947069131051966478923675948966985343503912294521710456825070706321170175670768834680362700038227345348664778905392085878263395700393177518884220563581455088914975761243246742134512051685068556302494917387376766807798845351454072374722276004688439931210014642884413269776789622459699156465976286585165387043271818737492753801543569716002579924503438791947639584213912130529950883648673295822998079756976747868621436828291457131804463684956396045435535016712177951809279798971252284168872991730054343778265527666622585821074310006596586378416742454925177882420681080631152886815566301977591264560141517087407588319961685567218324685622919656512277983475366833533502483071208127886637865375544733006204989608234003765594913789696444452533681681131059135516679893346274485691231750955356885800340345040808094947846674385403043207511697221213441430266320868799284065809682886712705802605390790636926405345660057676310897560968341139809993885173322530794087587375776374922342127781092288007428628082384262508728581273162549829327353584856442297943877992821676247337807589156655789961391328609730631701773156482736531348073498206490405368527974213794167587466177197819645958540295490628277382213249860395045021903930399875558365453550427203634796595291186773754321681903762079738825031128695271249345532160738146374524523492642180986362294637421194142276069770304257217743661078449149636692925949339871183132481800884536435749070963716726327949399696671370751603047515362062383223039431650851674248416488309197758792278997889518700749168716210752310265909958009661397183431473881656057243830849958393284555751253240038690470772002685034721307147749480802085789326961970641427513835039262568372099317599450452764993411812282750954960335867419888464825193527021573869780339214779705865939064362821473095522799588362735486676272763019985157439978361309864811127659119469766939453252120067556533952845252629370881351074322022567944758772012204209701645768565344111512659364688190873128621795974650223572502745107396711510440864909477224880029949532767945386212290183232228924283633798960233486793045782410670447489961276827930556617828634219256682583266636987542050354097455954138406977180331460458767372402046570736666098685250809714466036946265439515741562016471505587315322393495569964708511170589636204215194554852604955286977353732742951098052736073073456443706710716750080358182455847792921253950420536778673448196271828531554236426535981063255097790006861512556498631571629293475774402183749018952946804745717210961851680942322361951505264696223310430228747370922515381618021479616867018136023264102589919911380107150901869658787155398540224976584832714271127345542376883217783421661328084817110752973461528339578162745484105352219889138800107913798030650276914832650419994987346391794015400634417278370588264817875758194110730644176885187660653044224192530435145585026054996415472478748017289584803294719664971923966525543232274596235153953568641315192649575577165314158886642047898904989693422099008239539907035615869089715660874652694119587106513905674204491928646098641116239553499014257294075647822122423137256798056533043386710966799955222339026195152848829412727622956098620830047771902981033927274873253964236203790180059944624165557736402472107866114946987755750568078186910791076172521710292385764508992655847237558924484362758204151816800299870486380854841677189070829287098359291630011746870558713119548675740998533381402070550064417657112303153940036126016758386142680218820637264115679535948796325361909006835877798935413015787493212493801711373274729135271894539558236570851524681752312251691881533702960536145616399941506494593236689265387037929159847416660424923132264992613236583252364113366643315412170059263536277615413924896308109733806292308915341760638696796281050476593194507539193652935677713923408451417538957464936349603297289634578562}
30195  505568708939647704293432580242024735477202049135272245414037130010001267632533811356137: {452805,482992,543366,995973,1478869,2081661,2112670,2535204,2804973,3018100,3621720,3863168,4012477,4074435,4346064,4373345,4792101,4889322,5098561,5248014,5333541,5732110,6596061,6878532,7136781,7180222,7497141,7630733,7986305,8037501,8628334,8716529,9117573,9297501,9583566,10257460,10692245,12308952,12830694,13847571,14601796,14684181,14899534,15194945,15580829,16116981,16295973,16650277,16847701,18233934,19423684,19688645,19831462,20431789,20941341,21005489,21187717,21963032,22358686,23518253,23626374,23786110,24325773,24618661,24708411,25214596,25345217,26662324,26859845,27748120,27878973,28056381,28251622,28330660,28511494,28543332,28573441,28957813,29188270,29414775,30209357,30775486,30915781,31216635,31375760,31940980,32128174,32130141,32231814,33297744,33367461,33693166,33996792,34780101,34845195,34979686,35025924,35297730,36715061,36822526,37168208,37378253,37459962,37500862,37650912,37914862,38246391,38328757,38329176,38480973,38656941,39184701,39354005,39660292,40243745,40359460,40860862,40863341,41052197,41482375,41752861,41774677,41814234,42357276,42372622,42978214,43120323,43964980,44054446,45120856,45175597,45280829,45325941,45524657,46283681,46375773,46461845,46550661,46947214,47224806,47348705,47768734,48024277,48292494,48355054,48431352,49778850,49970980,50043381,50520589,50619953,50760963,51286366,51739835,52319014,52456846,52656621,52662305,52757976,53097440,53444902,53572660,54179134,54370756,54485271,54699149,54917061,55581214,55671541,55754214,56657560,56752549,56818446,56924773,57019204,57110933,57439901,58372660,58471462,58559973,59352723,59678110,59726945,59734620,59864644,59965176,60171195,61155573,62087802,62315044,62511469,62710341,63194766,63573261,63716928,63739755,64130645,64182608,64214269,64252084,64287192,64949326,65297301,66003742,66768545,66914669,67460823,67878861,67928929,67989072,68095933,68588302,68606110,69403205,69630574,69801934,69854933,70047192,70418509,71312541,71613732,71632375,71672334,71681544,72172270,72205434,72323091,72574712,72691486,73025781,73914050,74595589,74715646,75078501,75242401,75372339,75591141,75824692,76063457,76349860,76458135,76487706,76956774,77287745,77468973,77566021,78123341,78803091,78928693,80122254,80297254,80410852,80641737,80839396,80840542,81075070,81217894,81555344,81646551,82327332,82465822,82527905,82575573,82709662,83283846,83436797,83530660,84010804,84485854,84520001,84603629,85120773,85201229,85221214,85520920,85950724,85958850,86137341,86561453,86606724,86814573,86851141,88674981,88696860,88773124,89181861,89728975,90573483,90869901,91232705,91619832,91689440,91734670,91749762,92405092,92723973,92745294,92777446,92892381,92950261,93273077,93397461,94060516,94291060,94609984,94907014,95144644,95209702,95247573,95819566,96211035,96438305,97198275,97290084,97304645,98436381,98938174,99033486,...,168046222099264977509101815707898215446094995724113579708995371113291862428183989098689158614653520075131607304588174789983483386552678368627320786173385915241631852734736776078215298697266756269176204096551072519449835364988887817660352470569123432989639450671608210808110573837229722500986503841932025247523346367259211404063563574802976885746204375089748198492515758314733716062695698331292502245801097377096388448171104768095925955621127715821490126017064446037267141583056801891997439465498060746252211065506860919147803716224325766009101162049046227130600767220924772775678704353800768242677064535505691054676730738570643715331779327313965922005062889859178340343553330891966607090190137492474851475133276599373727312180947996882414949098014068208760072646599431356710983963645977535983856969893183615421857544976146748438978581545575242139821519532433344347518772166637679005140051282802456022640764094929420826788721739539848813197490712920603696577949718385513923450478015255868441782565685237606059481755263506153252020544050057341018022997168358088128817395093550589766278326330845372182633372463641864870113201768077527602834453742376081065150211698268027181108562083414007032659896815021964326619904665184433689548734698964429877748080564907728106239130702315354574003869886755158187921459376320868195794926325473009943734497119635465121802932155242437185697706695527434594068153302525068266927713919698456878426253309487595081515667398291499933878731611465009894879567625113682387766823631021620946729330223349452966386896840212275631111382479942528350827487028434379484768416975213050250300253724606812191829956798063317099509307484412351005648392370684544666678800522521696588703275019840019411728536847626433035328700510517561212142421770011578104564811267545831820162145399481303198926098714524330069058703908086185955389608018490086514466346341452511709714990827759983796191131381063664562383513191671638432011142942123576393763092871909743824743991030377284663446915816989232514371006711383734983684942086992914595947552659734724104797022110247309735608052791961320691251381199265796729468937810443235942416073319874790592567532855895599813337548180325640805452194892936780160631482522855643119608237546693042906874018298241107219561786785238963271479543441956131791213414104655456385826615491617673724455039388924009806774698722701326804653623606445575089491924099545007056127404571273043093574834559147476277511372624732463796638188418496834278051123753074316128465398864937014492095775147210822484085865746274937589926833626879860058035706158004027552081960721624221203128683990442955962141270752558893852558148976399175679147490117718424126432440503801129832697237790290532360804670508822169558798908596544232209643284199382544103230014409144529977736159967541964797216691488679204650409179878180101334800929267878944056322026611483033851917138158018306314552468652848016167268989047032286309692932693961975335358754117661095067265661297364215837320044924299151918079318435274848343386425450698440350230189568673616005671234941915241895834926742951328885023874899955481313075531146183931207610465770497190688151058603069856104999148027876214571699055419398159273612343024707258380972983590243354947062766755884454306322791832278907432930466030599114426647079104109610184665560066075125120537273683771689381880925630805168010172294407742797331354639803971594882646685010292268834747947357443940213661603275623528429420207118575816442777521413483542927257897044334965645343121056383773072427032219425300527204034896153884879867070160726352804488180733097810337464877249071406691018313565324826675132491992127225666129460192292509367244118226158028329833708200161870697045975415372248975629992481019587691023100951625917555882397226813637291166095966265327781490979566336288795652718377539082494623208718122025934377204942079497457885949788314848411894352730930352961972788974363365747971238329963071848357484540133148512359309860553423803634573491311979041179380659770858511306737892969147961674359330248521385941113471733183634705885197084799565080066450199932833508539292729273244119091434434147931245071657854471550890912309880946354305685270089916936248336604603708161799172420481633625852117280366186614258782565438578646763488983770856338386726544137306227725200449805729571282262515783606243930647538937445017620305838069679323013611497800072103105825096626485668454730910054189025137579214020328230955896173519303923194488042863510253816698403119523681239818740702567059912093702907841809337354856277287022628468377537822300554440804218424599912259741889855033898080556893739771124990637384698397488919854874878546170049964973118255088895304416423120887344462164600709438463373012640958045194421575714889791761308790479403516570885112677126308436197404524404945934451867843}
30196  507135376576523140901230783432861131927525315590286706495156152832819130876976695114487: {422618,603740,724488,784706,815049,1327964,1778083,2499379,2775548,3169005,3219523,3380272,3676226,3739964,3772625,3802806,4118083,4477003,4527150,4828960,5014843,5432580,5794752,5838818,6198746,6389468,6519096,6997352,7111388,7333983,7872021,8050363,8598165,8794748,9171376,9471643,9515708,9996188,10317798,10711483,10716668,10770333,10864706,12156764,12396668,12652826,12778088,12821825,12942501,13180579,14234443,14375349,15386190,16411936,16574018,16683379,17107592,18252245,18463428,18705506,19217653,19246041,19464883,19578908,19769306,21489308,21727964,21883579,21902694,22349301,22743979,23431003,23774083,24279605,24311912,25143523,25314379,25773026,27350901,27453790,27868579,27921788,29135526,29747193,30575203,31035866,31501832,31518245,32434364,32522182,32944548,33327905,33538029,33765379,34433683,34685150,35267443,35413325,35439561,35679165,35918618,36266306,37171964,37408508,37821894,38057776,39219700,39480749,39926225,39993486,41622180,42377433,42495990,42767241,42814998,42840188,42853579,42975752,43016803,43782405,44223386,44396992,44482579,44489948,44567618,45329056,46163229,46373468,46460260,46701232,46751083,47063640,47443253,47659226,47911470,48192261,48347721,48362803,49326379,49575365,49946616,50201216,50449325,50539749,50766883,50995188,51105568,51307964,51542588,51763226,52246268,52360603,52469529,52538886,52946595,53126618,53154763,53471923,53947123,54105379,54956225,55233789,55752312,56159782,56189943,56251293,56401070,56476368,56872293,57493764,58663483,58975603,59490438,59571266,60434588,60539190,61291293,61834364,61926379,61932506,62067548,62463725,62698579,62721351,62966408,63502873,63535914,63558933,63614786,64389992,64467321,64575136,64958018,65947470,66081669,66371800,66532579,66724508,66965825,67141843,67293979,67681284,67901803,67963445,67971866,68205283,70208828,70321579,70343968,70420821,70472203,70821950,70837209,71224243,71274005,71360926,71653101,72438741,72532581,72647028,72965825,73171123,73222748,73916683,74338952,74668275,74830805,74956470,75757928,76438123,76613018,76929549,77893805,78079964,78478521,78685269,79085203,79136964,79581506,79646160,79953568,80167353,80228260,80288582,80315105,80358990,80545723,81268701,81540764,81556134,81563803,81882266,82783736,83371821,83613788,83631321,83733523,84259688,84453163,84503066,84764348,84884083,84955904,84986340,85156826,85227669,85528806,85716256,86458579,86601283,87063068,87558990,87707193,87766106,89517165,89601930,89717018,89796966,89863603,89947764,90505148,90652096,90718390,91338818,91410379,92633666,92669443,93131703,93396256,93472566,94061563,94571618,94780865,94792149,95083388,95142509,95437325,95484976,95563112,95575392,96273912,96273979,96378126,96430788,97367708,97423989,99005613,99393818,99829843,...,224061629465686636678802420943864287261459994298818106278660494817722483237578652131585544819538026766842143072784233053311311182070237824836427714897847886988842470312982368104287064929689008358901605462068096692599780486651850423547136627425497910652852600895477614410814098449639630001315338455909366996697795156345615205418084766403969180994939166786330931323354344419644954750260931108390002994401463169461851264228139690794567940828170287761986834689419261383022855444075735855996585953997414328336281420675814558863738288299101021345468216065394969507467689627899697034238272471734357656902752714007588072902307651427524953775705769751954562673417186478904453791404441189288809453586849989966468633511035465831636416241263995843219932130685424278346763528799241808947978618194636714645142626524244820562476726634862331251971442060766989519762026043244459130025029555516905340186735043736608030187685459905894435718295652719798417596654283894138262103932957847351897933970687007824589043420913650141412642340351341537669360725400076454690697329557810784171756526791400786355037768441127162910177829951522486493484269024103370137112604989834774753533615597690702908144749444552009376879862420029285768826539553579244919398312931952573170330774086543637474985507603087139432005159849006877583895279168427824261059901767297346591645996159513953495737242873656582914263608927369912792090871070033424355903618559597942504568337745983460108687556531055333245171642148620013193172756833484909850355764841362161262305773631132603955182529120283034174815176639923371134436649371245839313024555966950733667067004966142416255773275730751089466012409979216468007531189827579392888905067363362262118271033359786692548971382463501910713771600680690081616189895693348770806086415023394442426882860532641737598568131619365773425411605210781581273852810691320115352621795121936682279619987770346645061588175174751552749844684255562184576014857256164768525017457162546325099658654707169712884595887755985643352494675615178313311579922782657219461263403546312965473062696146996412980810737055948427588335174932354395639291917080590981256554764426499720790090043807860799751116730907100854407269593190582373547508643363807524159477650062257390542498691064321476292749049046985284361972724589274842388284552139540608514435487322156898299273385851898679742366264963601769072871498141927433452655898799393342741503206095030724124766446078863301703348496832976618395517584557995779037401498337432421504620531819916019322794366862947763312114487661699916786569111502506480077380941544005370069442614295498961604171578653923941282855027670078525136744198635198900905529986823624565501909920671734839776929650387054043147739560678429559411731878128725642946191045599176725470973352545526039970314879956722619729622255318238939533878906504240135113067905690505258741762702148644045135889517544024408419403291537130688223025318729376381746257243591949300447145005490214793423020881729818954449760059899065535890772424580366464457848567267597920466973586091564821340894979922553655861113235657268438513365166533273975084100708194911908276813954360662920917534744804093141473332197370501619428932073892530879031483124032943011174630644786991139929417022341179272408430389109705209910573954707465485902196105472146146912887413421433500160716364911695585842507900841073557346896392543657063108472853071962126510195580013723025112997263143258586951548804367498037905893609491434421923703361884644723903010529392446620860457494741845030763236042959233734036272046528205179839822760214301803739317574310797080449953169665428542254691084753766435566843322656169634221505946923056679156325490968210704439778277600215827596061300553829665300839989974692783588030801268834556741176529635751516388221461288353770375321306088448385060870291170052109992830944957496034579169606589439329943847933051086464549192470307907137282630385299151154330628317773284095797809979386844198016479079814071231738179431321749305388239174213027811348408983857292197282232479106998028514588151295644244846274513596113066086773421933599910444678052390305697658825455245912197241660095543805962067854549746507928472407580360119889248331115472804944215732229893975511501136156373821582152345043420584771529017985311694475117848968725516408303633600599740972761709683354378141658574196718583260023493741117426239097351481997066762804141100128835314224606307880072252033516772285360437641274528231359071897592650723818013671755597870826031574986424987603422746549458270543789079116473141703049363504624503383763067405921072291232799883012989186473378530774075858319694833320849846264529985226473166504728226733286630824340118527072555230827849792616219467612584617830683521277393592562100953186389015078387305871355427846816902835077914929872699206594579269157124}
30197  508706870829161503947507421756475323702303214833097550093327406752475433940264769608019: {30197,633927,754675,905610,965984,1086732,1177059,1659955,1991946,2957738,3469435,4163322,4225340,4674955,5070408,5514339,5609946,5641603,5704209,6036200,6122683,6790725,7243440,7726336,7986835,8024954,8148870,8692128,8746690,8758227,8889235,9018139,9298119,9584202,9742003,9778644,10197122,10496028,10667082,10993435,11180827,11464220,11894635,12495235,13192122,13395835,13757064,14273562,14360444,14969143,14994282,15195955,15261466,15476697,15495835,15581863,15972610,16075002,16297059,17256668,17433058,17567539,18235146,18413707,18595002,18979239,19167132,20514920,21006883,21272923,21384490,22030147,22197703,23079285,23476723,24076267,24180739,24473635,24617904,24861027,25346899,25646587,25661388,26861635,27093163,27159955,27484039,27564103,27695142,27794299,28058259,28415419,29203592,29368362,29464963,29653959,29799068,30389890,31161658,31233403,32104963,32233962,32591946,32854041,33300554,33695402,33763399,34298707,34902235,36341563,36467868,37603783,38659539,38847368,39377290,39662924,40542955,40863578,41180685,41882682,41992423,42010978,42248539,42375434,42466867,43703289,43883383,43926064,44174299,44717372,45527683,45690523,45941863,46464955,46553799,46760635,47036506,47252748,47572220,48651546,48783273,49024625,49158199,49237322,49416822,49475659,50429192,50690434,50880499,51516499,51860083,52027725,52366507,53089219,53324648,53513707,53550235,53719690,53877927,54399459,55095607,55496240,55612435,55721563,55757946,56112762,56341243,56503244,56661320,56732841,57022988,57086664,57114739,57146882,57443719,57915626,57966835,58020043,58075325,58376540,58829550,59990229,60418714,61134343,61550972,61831562,61969723,62433270,62751520,63743985,63881960,64134955,64222497,64256348,64260282,64428235,64463628,64986163,65046583,65307835,65413819,66288187,66335079,66497527,66595488,66734922,66851427,67386332,67494739,67993584,68933899,69560202,69690390,69959372,70051848,70595460,71238199,71488839,71867205,72435769,72804643,73430122,73645052,73727227,74336416,74756506,74786983,74807623,74919924,74971627,75001724,75301824,75543235,75829724,76492782,76657514,76658352,76961946,77084443,77292955,77313882,77584435,77644839,78369402,78708010,78730663,78808329,79043803,79320584,79689927,80487490,80718920,81721724,81726682,82104394,82654483,82964750,83405635,83442343,83505722,83549354,83617723,83628468,84239673,84525619,84589723,84601605,84714552,84745244,85012099,85206907,85956428,86240646,86265163,87761035,87767287,87929960,88108892,88524403,89235657,89356899,89782903,90241712,90351194,90561658,90651882,90808785,91049314,91528435,92567362,92751546,92898759,92923690,93101322,93475963,93894428,94449612,94697410,95016499,95224903,95303871,95422179,95537468,96048554,96584988,96710108,96862704,97164487,97374283,97437027,97599955,98921205,99023803,99557700,99705703,99941960,99986107,...,336092444198529955018203631415796430892189991448227159417990742226583724856367978197378317229307040150263214609176349579966966773105356737254641572346771830483263705469473552156430597394533512538352408193102145038899670729977775635320704941138246865979278901343216421616221147674459445001973007683864050495046692734518422808127127149605953771492408750179496396985031516629467432125391396662585004491602194754192776896342209536191851911242255431642980252034128892074534283166113603783994878930996121492504422131013721838295607432448651532018202324098092454261201534441849545551357408707601536485354129071011382109353461477141287430663558654627931844010125779718356680687106661783933214180380274984949702950266553198747454624361895993764829898196028136417520145293198862713421967927291955071967713939786367230843715089952293496877957163091150484279643039064866688695037544333275358010280102565604912045281528189858841653577443479079697626394981425841207393155899436771027846900956030511736883565131370475212118963510527012306504041088100114682036045994336716176257634790187101179532556652661690744365266744927283729740226403536155055205668907484752162130300423396536054362217124166828014065319793630043928653239809330368867379097469397928859755496161129815456212478261404630709148007739773510316375842918752641736391589852650946019887468994239270930243605864310484874371395413391054869188136306605050136533855427839396913756852506618975190163031334796582999867757463222930019789759135250227364775533647262043241893458660446698905932773793680424551262222764959885056701654974056868758969536833950426100500600507449213624383659913596126634199018614968824702011296784741369089333357601045043393177406550039680038823457073695252866070657401021035122424284843540023156209129622535091663640324290798962606397852197429048660138117407816172371910779216036980173028932692682905023419429981655519967592382262762127329124767026383343276864022285884247152787526185743819487649487982060754569326893831633978465028742013422767469967369884173985829191895105319469448209594044220494619471216105583922641382502762398531593458937875620886471884832146639749581185135065711791199626675096360651281610904389785873560321262965045711286239216475093386085813748036596482214439123573570477926542959086883912263582426828209310912771653230983235347448910078777848019613549397445402653609307247212891150178983848199090014112254809142546086187149669118294952555022745249464927593276376836993668556102247506148632256930797729874028984191550294421644968171731492549875179853667253759720116071412316008055104163921443248442406257367980885911924282541505117787705116297952798351358294980235436848252864881007602259665394475580581064721609341017644339117597817193088464419286568398765088206460028818289059955472319935083929594433382977358409300818359756360202669601858535757888112644053222966067703834276316036612629104937305696032334537978094064572619385865387923950670717508235322190134531322594728431674640089848598303836158636870549696686772850901396880700460379137347232011342469883830483791669853485902657770047749799910962626151062292367862415220931540994381376302117206139712209998296055752429143398110838796318547224686049414516761945967180486709894125533511768908612645583664557814865860932061198228853294158208219220369331120132150250241074547367543378763761851261610336020344588815485594662709279607943189765293370020584537669495894714887880427323206551247056858840414237151632885555042826967085854515794088669931290686242112767546144854064438850601054408069792307769759734140321452705608976361466195620674929754498142813382036627130649653350264983984254451332258920384585018734488236452316056659667416400323741394091950830744497951259984962039175382046201903251835111764794453627274582332191932530655562981959132672577591305436755078164989246417436244051868754409884158994915771899576629696823788705461860705923945577948726731495942476659926143696714969080266297024718619721106847607269146982623958082358761319541717022613475785938295923348718660497042771882226943466367269411770394169599130160132900399865667017078585458546488238182868868295862490143315708943101781824619761892708611370540179833872496673209207416323598344840963267251704234560732373228517565130877157293526977967541712676773453088274612455450400899611459142564525031567212487861295077874890035240611676139358646027222995600144206211650193252971336909461820108378050275158428040656461911792347038607846388976085727020507633396806239047362479637481405134119824187405815683618674709712554574045256936755075644601108881608436849199824519483779710067796161113787479542249981274769396794977839709749757092340099929946236510177790608832846241774688924329201418876926746025281916090388843151429779583522617580958807033141770225354252616872394809048809891868903735686}
30198  510283206481009953698592000265751349408387806468796579975025286041224171551603033689427: {332057,513077,845236,874901,1115957,1207480,1358415,1448976,1569412,1630098,1778201,1838357,2379401,2655928,2679701,2987919,3039797,3219737,3279701,3556166,3819017,4178201,4436607,4537097,4998758,5281675,5551096,6244983,6338010,6439046,6760544,7160201,7352452,7479928,7516697,7545250,7605612,8110217,8236166,8288117,8406677,8414919,8954006,9054300,9472277,9657920,9885977,10029686,10358297,10865160,11301401,11589504,11677636,12037431,12183701,12223305,12397492,12778936,13038192,13064201,13120035,13591637,13994704,14222776,14330275,14376303,14667966,15295683,15744042,16000623,16100726,16510037,16858901,17196330,17381657,17589496,17729801,17950555,18251477,18342752,18656777,18943286,19031416,19523957,19788183,19992376,20635596,21410343,21422966,21433336,21540666,21570835,21729412,22401557,22491423,22630901,22892199,23146457,23432597,23775701,23832857,23958915,24112503,24313528,24793336,25202201,25305652,25553143,25556176,25643650,25885002,25998857,26149587,26361158,26680457,27190901,27352719,27700697,27892503,28266377,28468886,28548917,28750698,28944137,29113397,29733401,30071177,30633497,30772380,30914357,31138901,31923797,32076735,32823872,33148036,33366758,33990617,33991447,34215184,34269077,35824757,36157301,36504490,36926856,36932117,37248835,37263701,37411012,37484597,38091401,38311817,38435306,38492082,38929766,39157816,39247157,39538612,39796277,40563701,41056217,41384201,41542713,41602697,42693257,42978616,43346057,43455928,43767158,43805388,44052543,44125543,44377301,44698602,44864777,44973017,45189401,45487958,45584835,45783797,45945737,46269401,46485017,46659067,46742487,46862006,47292437,47548166,48350943,48419801,48559210,48623824,48887919,49008917,49578655,49950831,50024201,50287046,50543103,50628758,50770457,50823701,51408857,51546052,52364297,53211401,53475701,53792597,54701802,54907580,55737158,55843576,55845401,55896715,56055257,56069299,56317397,56841077,58271052,58667657,58719701,58979801,59065935,59291657,59465275,59494386,59758901,60070037,61053401,61150406,61295367,62071732,62548757,62824023,62908697,63003664,63016467,63036490,63563151,63678677,64088597,64868728,65044364,65366297,65468297,65889096,65977817,66232277,66435701,66655810,66689801,67076058,67530758,67906697,68210201,68867366,69370300,69405511,70527497,70534886,70554759,70629055,70826650,70879122,71278735,71358330,71837236,72179477,72532612,72927497,72970675,72977319,73176437,73226201,73524617,73855983,73971701,74125233,74343928,74517257,74715401,74817016,75259637,75457301,75643788,75901577,76035651,76115552,76443701,76492937,76738997,76938715,77623157,78211157,78439400,78961498,79578677,79822217,79852450,79986972,80114201,80320435,80551637,80579535,81618197,82053401,83244360,83636919,83739701,84169143,84232915,84507317,84754866,84890357,84991980,85534482,85607177,85629996,85680376,85707158,85720323,85941077,85951504,86033606,86084057,86797877,86873439,87449215,87564810,87604697,88078217,88244325,88446772,88793984,88928537,88965158,88979896,89135236,89211401,90152201,90628071,90658112,92056315,92326458,92536757,92676377,92722901,92746936,92747343,92920520,93402464,93419801,93502166,93649905,93698057,93752155,93837077,94114901,94127280,94762037,94787155,94886506,95085017,95148823,95318452,95822940,95913737,96384522,96390423,96602357,96695442,96725606,97106201,97974197,98065397,98247701,98475401,98652758,98930201,99150730,99429557,99565577,99783607,99893232,...,504138666297794932527305447123694646338284987172340739126986113339875587284551967296067475843960560225394821913764524369950450159658035105881962358520157745724895558204210328234645896091800268807528612289653217558349506094966663452981057411707370298968918352014824632424331721511689167502959511525796075742570039101777634212190690724408930657238613125269244595477547274944201148188087094993877506737403292131289165344513314304287777866863383147464470378051193338111801424749170405675992318396494182238756633196520582757443411148672977298027303486147138681391802301662774318327036113061402304728031193606517073164030192215711931145995337981941897766015188669577535021030659992675899821270570412477424554425399829798121181936542843990647244847294042204626280217939798294070132951890937932607951570909679550846265572634928440245316935744636725726419464558597300033042556316499913037015420153848407368067922292284788262480366165218619546439592472138761811089733849155156541770351434045767605325347697055712818178445265790518459756061632150172023054068991505074264386452185280651769298834978992536116547900117390925594610339605304232582808503361227128243195450635094804081543325686250242021097979690445065892979859713995553301068646204096893289633244241694723184318717392106946063722011609660265474563764378128962604587384778976419029831203491358906395365408796465727311557093120086582303782204459907575204800783141759095370635278759928462785244547002194874499801636194834395029684638702875341047163300470893064862840187990670048358899160690520636826893334147439827585052482461085303138454305250925639150750900761173820436575489870394189951298527922453237053016945177112053634000036401567565089766109825059520058235185610542879299105986101531552683636427265310034734313694433802637495460486436198443909596778296143572990207176111724258557866168824055470259543399039024357535129144972483279951388573394143190993687150539575014915296033428826370729181289278615729231474231973091131853990340747450967697543113020134151204951054826260978743787842657979204172314391066330741929206824158375883962073754143597797390188406813431329707827248219959624371777702598567686799440012644540976922416356584678810340481894447568566929358824712640079128720622054894723321658685360355716889814438630325868395373640242313966369157479846474853021173365118166772029420324096168103980413960870819336725268475772298635021168382213713819129280724503677442428832534117874197391389914565255490502834153371259222948385396196594811043476287325441632467452257597238824812769780500880639580174107118474012082656245882164872663609386051971328867886423812257676681557674446929197527037442470353155272379297321511403389498091713370871597082414011526466508676396725789632696628929852598147632309690043227433589933208479902625894391650074466037613951227539634540304004402787803636832168966079834449101555751414474054918943657405958544048501806967141096858929078798081885926006076262352983285201796983892092647511960134772897455754237955305824545030159276352095321050690568706020848017013704825745725687504780228853986655071624699866443939226593438551793622831397311491572064453175809209568314997444083628643715097166258194477820837029074121775142918950770730064841188300267653362918968375496836722298791398091797343279941237312328830553996680198225375361611821051315068145642776892415504030516883223228391994063919411914784647940055030876806504243842072331820640984809826870585288260621355727449328332564240450628781773691133004896936029363169151319217281096658275901581612104688461654639601210482179058413464542199293431012394631747214220073054940695974480025397475976381676998388380576877528101732354678474084989501124600485612091137926246116746926889977443058763073069302854877752667647191680440911873498287898795983344472938699008866386958155132617247483869626154366077803131614826238492373657849364944545235683058192791058885918366923090097243913714989889215545072453620399445537077929581660271410903720473935937123538141979312575533920213678907443885023077990745564157823340415199550904117655591254398695240199350599798500525617878187819732357274303302443793735214973563414652672736929642839062917055810269750808745009813811124485397517261444900877556351841098559842776347696315735940290466951312569015160179632411918683175601349417188713846787547350818731791942616812335052860917514209037969040834493400216309317475289879457005364192730162567075412737642060984692867688520557911769583464128590530761450095209358571043719456222107701179736281108723525428012064568831861067885405132613466901663322412655273799736779225669565101694241670681219313374971912154095192466759564624635638510149894919354765266685913249269362662033386493802128315390119037922874135583264727144669375283926371438210549712655338031378925308592213573214837803355603529}
30199  511864398360532372195751342396078949898859673329844034324098573402877615661174129703222: {60394,1056545,1267854,1509350,1811220,1931968,1961765,2173464,2323937,2354118,2445147,3319910,3983892,4857209,5334249,5915476,6305321,6544937,6667349,6938870,7498137,8326644,8450680,9190565,9349910,9507015,9658569,10140816,10888121,11028678,11181569,11219892,11283206,11317875,11408418,12072400,12245366,12354249,12444929,13431009,13581450,14486880,14597045,15044529,15390809,15452672,15496865,15973670,16049908,16297740,16652489,17384256,17493329,17493380,17516454,17778470,18036278,18414929,18596238,18754169,19168404,19484006,19557288,20394244,20761637,20992056,21274337,21334164,21694169,21986870,22001949,22031609,22361654,22928440,23478281,23616063,23789270,24151089,24621929,24990470,25648289,25794495,26164721,26233649,26384244,26791670,26908769,27094961,27161765,27514128,28414929,28547124,28577237,28720888,28961657,29801537,29938286,29988564,30391910,30522932,30953394,30991670,31163726,31632065,31945220,32107097,32134449,32150004,32310999,32332709,32481137,32594118,34263089,34513336,34822229,34866116,34907921,35135078,36470292,36827414,37190004,37365269,37606289,37942229,37958478,38023937,38333849,38334264,38465475,38827503,39541737,40428329,40617041,41029840,41435045,42013766,42545846,42703329,42768980,43126047,44060294,44395406,46158570,46397969,46763765,46953446,47462969,47919329,48152534,48361478,48863129,48947270,49235808,49423265,49627409,49722054,50050137,50542937,50693798,50883881,51293174,51322776,53262821,53723270,54186326,54294929,54319910,54686249,54756735,54968078,55069361,55128206,55390284,55588598,55678937,56116518,56760137,56830838,57652959,57738123,58394649,58407184,58490129,58736724,58929926,59043749,59307918,59598136,60779780,60850289,61289189,62277041,62323316,62466806,63715349,64209926,64432565,64467924,65050937,65183892,65464889,65645921,65650737,65708082,65714849,66243497,66601108,67047903,67390804,67499237,67526798,68231937,68597414,68604737,68634475,68938481,69804470,70293009,71322249,72683126,72838815,72935736,73687961,74970329,75207566,75272597,75430569,75466721,75943137,76356089,76801829,77319078,77589665,77694736,77857409,78754580,79049057,79325848,79389497,81085910,81153569,81270389,81305455,81727156,82052703,82361370,82659977,83605737,83765364,83984846,84021956,84497078,84750868,84933734,86153201,86270897,86686409,86712875,87406578,87766766,87852128,88348598,88409009,89182577,89241579,89434744,89788937,89796545,90199529,90423497,90665765,91055366,91381046,91430969,91725609,91883726,92929910,93045329,93107598,93521270,94073012,94505496,94554735,95144440,95231249,97303092,97566546,98049250,98316398,98393909,98474644,98833644,98951318,99983715,...,672184888397059910036407262831592861784379982896454318835981484453167449712735956394756634458614080300526429218352699159933933546210713474509283144693543660966527410938947104312861194789067025076704816386204290077799341459955551270641409882276493731958557802686432843232442295348918890003946015367728100990093385469036845616254254299211907542984817500358992793970063033258934864250782793325170008983204389508385553792684419072383703822484510863285960504068257784149068566332227207567989757861992242985008844262027443676591214864897303064036404648196184908522403068883699091102714817415203072970708258142022764218706922954282574861327117309255863688020251559436713361374213323567866428360760549969899405900533106397494909248723791987529659796392056272835040290586397725426843935854583910143935427879572734461687430179904586993755914326182300968559286078129733377390075088666550716020560205131209824090563056379717683307154886958159395252789962851682414786311798873542055693801912061023473767130262740950424237927021054024613008082176200229364072091988673432352515269580374202359065113305323381488730533489854567459480452807072310110411337814969504324260600846793072108724434248333656028130639587260087857306479618660737734758194938795857719510992322259630912424956522809261418296015479547020632751685837505283472783179705301892039774937988478541860487211728620969748742790826782109738376272613210100273067710855678793827513705013237950380326062669593165999735514926445860039579518270500454729551067294524086483786917320893397811865547587360849102524445529919770113403309948113737517939073667900852201001201014898427248767319827192253268398037229937649404022593569482738178666715202090086786354813100079360077646914147390505732141314802042070244848569687080046312418259245070183327280648581597925212795704394858097320276234815632344743821558432073960346057865385365810046838859963311039935184764525524254658249534052766686553728044571768494305575052371487638975298975964121509138653787663267956930057484026845534939934739768347971658383790210638938896419188088440989238942432211167845282765005524797063186917875751241772943769664293279499162370270131423582399253350192721302563221808779571747120642525930091422572478432950186772171627496073192964428878247147140955853085918173767824527164853656418621825543306461966470694897820157555696039227098794890805307218614494425782300357967696398180028224509618285092172374299338236589905110045490498929855186552753673987337112204495012297264513861595459748057968383100588843289936343462985099750359707334507519440232142824632016110208327842886496884812514735961771823848565083010235575410232595905596702716589960470873696505729762015204519330788951161162129443218682035288678235195634386176928838573136797530176412920057636578119910944639870167859188866765954716818601636719512720405339203717071515776225288106445932135407668552632073225258209874611392064669075956188129145238771730775847901341435016470644380269062645189456863349280179697196607672317273741099393373545701802793761400920758274694464022684939767660967583339706971805315540095499599821925252302124584735724830441863081988762752604234412279424419996592111504858286796221677592637094449372098829033523891934360973419788251067023537817225291167329115629731721864122396457706588316416438440738662240264300500482149094735086757527523702523220672040689177630971189325418559215886379530586740041169075338991789429775760854646413102494113717680828474303265771110085653934171709031588177339862581372484225535092289708128877701202108816139584615539519468280642905411217952722932391241349859508996285626764073254261299306700529967968508902664517840769170037468976472904632113319334832800647482788183901661488995902519969924078350764092403806503670223529588907254549164664383865061311125963918265345155182610873510156329978492834872488103737508819768317989831543799153259393647577410923721411847891155897453462991884953319852287393429938160532594049437239442213695214538293965247916164717522639083434045226951571876591846697437320994085543764453886932734538823540788339198260320265800799731334034157170917092976476365737736591724980286631417886203563649239523785417222741080359667744993346418414832647196689681926534503408469121464746457035130261754314587053955935083425353546906176549224910900801799222918285129050063134424975722590155749780070481223352278717292054445991200288412423300386505942673818923640216756100550316856081312923823584694077215692777952171454041015266793612478094724959274962810268239648374811631367237349419425109148090513873510151289202217763216873698399649038967559420135592322227574959084499962549538793589955679419499514184680199859892473020355581217665692483549377848658402837753853492050563832180777686302859559167045235161917614066283540450708505233744789618097619783737807471372}
30200  513450461341345644247959172551039830538670800515564503418553270068035653404799216665357: {90591,392431,573439,664114,935239,1026154,1690472,1749802,1838479,1901781,2018911,2231914,2264025,2414960,2716830,2897952,2919991,3099991,3138824,3260196,3279919,3531177,3556402,3676714,4758802,4979865,5311856,5359402,5975838,6079594,6327679,6439474,6559402,7112332,7220119,7394345,7638034,8356402,8466511,8873214,9074194,9997516,10063831,10408305,10417999,10563350,10948711,11102192,11831791,12489966,12676020,12878092,13065079,13521088,14024865,14320402,14704904,14959856,15033394,15090500,15211224,16220434,16472332,16543017,16576234,16813354,16829838,16918159,16924809,17112627,17788999,17908012,18108600,18136831,18310639,18368049,18658039,18944554,19315840,19771954,19871671,20059372,20062385,20372175,20716594,21426871,21730320,21866725,22288351,22602802,23179008,23355272,23834479,23960505,24074862,24367402,24446610,24794984,25032991,25130777,25492805,25557872,26076384,26128402,26240070,26274681,26667705,27054417,27183274,27894357,27989408,28445552,28660550,28752606,28946119,29226009,29335932,29453719,29791759,30129511,30199169,30591366,30972631,31141039,31488084,32001246,32201452,32653471,32980305,33020074,33542481,33717802,34392660,34763314,35178992,35459602,35683905,35901110,36502954,36685504,36989959,37313554,37321519,37485705,37886572,38062832,38149159,38153665,39047914,39576366,39931525,39984752,40187505,41113759,41271192,41605591,42260359,42750679,42820686,42845932,42866672,43081332,43141670,43458824,43582645,43892239,44217751,44803114,44907429,44982846,45192559,45261802,45587865,45678991,45784398,46002919,46292914,46326559,46430091,46487505,46488271,46745589,46865194,47457031,47551402,47665714,47917830,48225006,48627056,48891177,49065871,49586672,49867591,50404402,50611304,50827279,51106286,51112352,51287300,51770004,51997714,52148369,52299174,52702617,52722316,53360914,53461225,54381802,54705438,55241121,55401394,55785006,56373799,56532754,56845111,56937717,56937772,57097834,57501396,57888274,58226794,58723879,59347831,59466802,59815039,60126151,60142354,61266994,61544760,61677391,61828714,62041177,62277802,62604679,63020649,63683239,63818769,63847594,64153470,65647744,66090441,66135271,66263717,66287911,66296072,66593109,66733516,67658431,67981234,67982894,68417311,68430368,68538154,69237855,69325591,69410117,70430169,71649514,72184711,72228801,72314602,72542217,73008980,73231519,73420905,73529959,73853712,73864234,74497670,74527402,74572231,74583081,74720839,74822024,74969194,75974725,76040697,76182802,76498519,76623634,76793791,76870612,76939761,76984164,77530711,77859532,77904145,78255401,78315632,78494314,79077224,79584511,79592554,80584905,81127402,81279489,81479865,82112434,82452117,82692309,82768402,83085426,83205394,83251385,83382897,84174777,84225919,84238505,85246257,85386514,85661239,85957232,86692114,86911856,87534316,87610776,87658591,88105086,88251086,88394889,88754602,88935151,88961877,89218039,89397204,89729554,89946034,90205879,90378802,90975916,91169670,91567594,91891474,92538802,92590231,92729839,92970034,93318134,93426799,93484974,93700209,93724012,93844111,94584874,94815319,95096332,96314889,96701886,96747151,96839602,97118420,97247648,97775838,98017834,98443225,98562123,98880677,99157310,99618439,99790229,99901662,...,1008277332595589865054610894247389292676569974344681478253972226679751174569103934592134951687921120450789643827529048739900900319316070211763924717040315491449791116408420656469291792183600537615057224579306435116699012189933326905962114823414740597937836704029649264848663443023378335005919023051592151485140078203555268424381381448817861314477226250538489190955094549888402296376174189987755013474806584262578330689026628608575555733726766294928940756102386676223602849498340811351984636792988364477513266393041165514886822297345954596054606972294277362783604603325548636654072226122804609456062387213034146328060384431423862291990675963883795532030377339155070042061319985351799642541140824954849108850799659596242363873085687981294489694588084409252560435879596588140265903781875865215903141819359101692531145269856880490633871489273451452838929117194600066085112632999826074030840307696814736135844584569576524960732330437239092879184944277523622179467698310313083540702868091535210650695394111425636356890531581036919512123264300344046108137983010148528772904370561303538597669957985072233095800234781851189220679210608465165617006722454256486390901270189608163086651372500484042195959380890131785959719427991106602137292408193786579266488483389446368637434784213892127444023219320530949127528756257925209174769557952838059662406982717812790730817592931454623114186240173164607564408919815150409601566283518190741270557519856925570489094004389748999603272389668790059369277405750682094326600941786129725680375981340096717798321381041273653786668294879655170104964922170606276908610501851278301501801522347640873150979740788379902597055844906474106033890354224107268000072803135130179532219650119040116470371221085758598211972203063105367272854530620069468627388867605274990920972872396887819193556592287145980414352223448517115732337648110940519086798078048715070258289944966559902777146788286381987374301079150029830592066857652741458362578557231458462948463946182263707980681494901935395086226040268302409902109652521957487575685315958408344628782132661483858413648316751767924147508287195594780376813626862659415654496439919248743555405197135373598880025289081953844832713169357620680963788895137133858717649425280158257441244109789446643317370720711433779628877260651736790747280484627932738314959692949706042346730236333544058840648192336207960827921741638673450536951544597270042336764427427638258561449007354884857665068235748394782779829130510981005668306742518445896770792393189622086952574650883264934904515194477649625539561001761279160348214236948024165312491764329745327218772103942657735772847624515353363115348893858395054074884940706310544758594643022806778996183426741743194164828023052933017352793451579265393257859705196295264619380086454867179866416959805251788783300148932075227902455079269080608008805575607273664337932159668898203111502828948109837887314811917088097003613934282193717858157596163771852012152524705966570403593967784185295023920269545794911508475910611649090060318552704190642101381137412041696034027409651491451375009560457707973310143249399732887878453186877103587245662794622983144128906351618419136629994888167257287430194332516388955641674058148243550285837901541460129682376600535306725837936750993673444597582796183594686559882474624657661107993360396450750723223642102630136291285553784831008061033766446456783988127838823829569295880110061753613008487684144663641281969619653741170576521242711454898656665128480901257563547382266009793872058726338302638434562193316551803163224209376923309279202420964358116826929084398586862024789263494428440146109881391948960050794951952763353996776761153755056203464709356948169979002249200971224182275852492233493853779954886117526146138605709755505335294383360881823746996575797591966688945877398017732773916310265234494967739252308732155606263229652476984747315698729889090471366116385582117771836733846180194487827429979778431090144907240798891074155859163320542821807440947871874247076283958625151067840427357814887770046155981491128315646680830399101808235311182508797390480398701199597001051235756375639464714548606604887587470429947126829305345473859285678125834111620539501617490019627622248970795034522889801755112703682197119685552695392631471880580933902625138030320359264823837366351202698834377427693575094701637463583885233624670105721835028418075938081668986800432618634950579758914010728385460325134150825475284121969385735377041115823539166928257181061522900190418717142087438912444215402359472562217447050856024129137663722135770810265226933803326644825310547599473558451339130203388483341362438626749943824308190384933519129249271277020299789838709530533371826498538725324066772987604256630780238075845748271166529454289338750567852742876421099425310676062757850617184427146429675606711207058}
30201  515041410342356348589251789679385526688728071157048999075678189737585068968882783293398: {120788,996171,1479163,1539231,2113090,2535708,2624703,2746471,3018700,3347871,3622440,3863936,3923530,4075245,4346928,4647874,4708236,4890294,5334603,5515071,6639820,7138203,7451743,7967784,8039103,8890415,8963757,9119391,9621359,9659211,9714418,9839103,10668498,11457051,11792951,11830952,12496895,12534603,12610642,12866791,13089874,13309821,13334698,13611291,13877740,14996274,15845025,16097615,16653288,16901360,17569871,18381130,18699820,18734949,18863125,19014030,19317138,20281632,20435863,20590415,21480603,21695611,21776242,22057356,22363138,22385015,22439784,22550091,22566412,22635750,22816836,23522939,24079463,24144800,24330651,24490732,24623563,24708498,24864351,24889858,25074215,25220031,25244757,26862018,27162900,28416831,28419191,28963579,28973760,29194090,29657931,30089058,30781618,30905344,30921943,30993730,31074891,31947340,32099816,32595480,33304978,33428879,33904203,34562551,34768512,34986658,34986760,35032908,35556940,36072556,36112293,36346391,36551103,36669915,36829858,37192476,37508338,37944751,38026471,38336808,38968012,39114576,39192603,39360105,40251815,40774911,40788488,40871483,41523274,41761183,41984112,42548674,42668328,42990825,43128909,43315019,43388338,43973740,44003898,44063218,44284891,44723308,45184603,45856880,45887049,46292903,46956562,47232126,47358215,47578540,48001869,48302178,49243858,49530111,49980940,50576703,50630039,51296578,51523343,51588990,52144971,52329442,52467298,52768488,53189403,53557415,53583340,53817538,53851665,54189922,54323530,54754431,55028256,55970331,56829858,56936119,57094248,57154474,57441776,57766391,57923314,58009063,58027751,58571871,59091659,59364549,59603074,59876572,59977128,60783820,61045864,61592183,61906788,61983340,62327452,62523931,63264130,63890440,64109125,64214194,64231029,64268898,64300008,64621998,64665418,64712505,64962274,65188236,65469271,65902895,67204671,67474269,67892703,67942471,68109511,68526178,68676597,69026672,69192571,69439371,69644458,69732232,69815842,69979463,70270156,70297791,71172215,71327103,71498571,71876745,72337509,72424223,72940584,73654828,73692859,74004731,74380008,74610463,74730538,75212578,75606603,75884458,75916956,76047874,76659429,76667698,76668528,76930950,77581543,77655006,77996571,78448761,78944431,79083474,80041371,80856658,81234082,81275791,81572703,82058157,82059680,82870090,83102091,83416895,83677509,84027532,84799131,85091692,85406658,85537960,85646751,86252094,86578811,86692171,86832411,87340191,87589079,88077959,88120588,88262351,88536239,88790812,89187943,89200203,90205591,90213531,90531611,91261225,91900491,92317140,92743071,92795938,93416703,93527530,93823951,93906892,94088303,94925938,95771391,95838658,96088265,96230205,96305068,96722956,97324415,97726258,97894540,98471616,98503343,98846530,99254818,99444108,...,1512415998893384797581916341371083939014854961517022217380958340019626761853655901888202427531881680676184465741293573109851350478974105317645887075560473237174686674612630984703937688275400806422585836868959652675048518284899990358943172235122110896906755056044473897272995164535067502508878534577388227227710117305332902636572072173226791971715839375807733786432641824832603444564261284981632520212209876393867496033539942912863333600590149442393411134153580014335404274247511217027976955189482546716269899589561748272330233446018931894081910458441416044175406904988322954981108339184206914184093580819551219492090576647135793437986013945825693298045566008732605063091979978027699463811711237432273663276199489394363545809628531971941734541882126613878840653819394882210398855672813797823854712729038652538796717904785320735950807233910177179258393675791900099127668949499739111046260461545222104203766876854364787441098495655858639318777416416285433269201547465469625311054302137302815976043091167138454535335797371555379268184896450516069162206974515222793159356555841955307896504936977608349643700352172776783831018815912697748425510083681384729586351905284412244629977058750726063293939071335197678939579141986659903205938612290679868899732725084169552956152176320838191166034828980796423691293134386887813762154336929257089493610474076719186096226389397181934671279360259746911346613379722725614402349425277286111905836279785388355733641006584623499404908584503185089053916108626023141489901412679194588520563972010145076697482071561910480680002442319482755157447383255909415362915752776917452252702283521461309726469611182569853895583767359711159050835531336160902000109204702695269298329475178560174705556831628637897317958304594658050909281795930104202941083301407912486381459308595331728790334888430718970621528335172775673598506472166410778630197117073072605387434917449839854165720182429572981061451618725044745888100286479112187543867835847187694422695919273395561971022242352903092629339060402453614853164478782936231363527973937612516943173198992225787620472475127651886221262430793392170565220440293989123481744659878873115333107795703060398320037933622930767249069754036431021445683342705700788076474137920237386161866164684169964976056081067150669443315890977605186120920726941899107472439539424559063520095354500316088260972288504311941241882612458010175805427316895905063505146641141457387842173511032327286497602353622592174169743695766471508502460113777668845156188589784433130428861976324897402356772791716474438309341502641918740522321355422036247968737646494617990828158155913986603659271436773030044673023340787592581112327411059465817137891964534210168494275140112614791247242034579399526029190177368898089886789557794442896929070129682300769799625439707877683174950223398112841853682618903620912013208363410910496506898239503347304667254243422164756830972217875632145505420901423290576787236394245657778018228787058949855605390951676277942535880404318692367262713865917473635090477829056285963152071706118062544051041114477237177062514340686561959965214874099599331817679780315655380868494191934474716193359527427628704944992332250885931145291498774583433462511087222365325428756852312190194523564900802960088756905126490510166896374194275392029839823711936986491661990040594676126084835463153945204436928330677246512091550649669685175982191758235744353943820165092630419512731526216995461922954429480611755864781864067182347984997692721351886345321073399014690808088089507453957651843289974827704744836314065384963918803631446537175240393626597880293037183895241642660219164822087923440076192427929145030995165141730632584305197064035422254968503373801456836273413778738350240780669932329176289219207908564633258002941575041322735620494863696387950033418816097026599160874465397851742451608878463098233409394844478715477120973548094833635707049174578373176657755100769270291731741144969667646635217360861198336611233788744980814232711161421807811370614425937937726601760641036722331655069233972236692473470021245598652712352966773763196085720598051799395501576853634563459197071822909907331381205644920690243958018210788928517188751167430809252426235029441433373456192551784334702632669055523295679528329043088947207820871400853937707045480538897235756049526804048251566141540362642052456195375827850437005158582752542627113907122503480200648927952425869638371016092578190487701226238212926182954078603065561673735308750392385771592284350285628075713131158368666323103539208843326170576284036193706495583203656215397840400704989967237965821399210337677008695305082725012043657940124915736462285577400278693873906915530449684758064295800057739747808087986100159481406384946170357113768622406749794181434008125851779114314631649137966014094136775925776640719644513410066810587}
30202  516637260327897860427941562275004374347886215803926199083305764424458495358460688795196: {150985,181182,784862,1146878,1236601,1328228,1870478,2052308,2499877,2680057,3169635,3380944,3400057,3499604,3676958,3773375,3803562,3939301,4037822,4463828,4528050,4829920,5195017,5433660,5732101,5795904,5839982,5885295,6199982,6277648,6520392,6559838,6971811,7062354,7112804,7335441,7353428,8299775,8407801,9517604,9959730,10352083,10623712,10718804,11420677,11951676,12159188,12655358,12878948,13118804,13183237,13359097,13710601,14224664,14237317,14440238,14571627,14788690,15276068,16002747,16712804,16861177,16933022,17347175,17746428,18148388,18915963,19634811,19995032,20002047,20127662,20680201,20816610,20835998,21126700,21198277,21897422,22204384,22494411,22748617,23374775,23663582,24635557,24979932,25319557,25352040,25756184,26130158,27042176,27571695,28049730,28087339,28208015,28383301,28521045,28640804,28975707,29409808,29919712,30066788,30181000,30422448,30581497,30613415,32440868,32664363,32944664,33086034,33152468,33544707,33626708,33659676,33836318,33849618,33953625,34225254,34273801,34607737,35441317,35577998,35689927,35816024,36217200,36273662,36621278,36736098,37062747,37316078,37334787,37600201,37889108,38631680,39543908,39743342,39934175,40118744,40124770,40154939,40293027,40569337,40744350,41433188,41717701,42853742,43025797,43460640,43733450,43791135,44446175,44491897,44576702,44654437,44979301,45090695,45133587,45205604,45303877,46172427,46358016,46490595,46710544,47668958,47921010,48149724,48694537,48710015,48734804,48893220,49589968,49957467,50065982,50261554,50985610,51115744,52152768,52256804,52479987,52480140,52549362,53335410,53415131,54108834,54116857,54366548,54967175,55244787,55695817,55788714,55904135,55978816,56262507,56891104,57321100,57424357,57505212,57892238,58452018,58671864,58907438,59473175,59583518,60259022,60398338,61015703,61182732,61945262,62282078,62284911,62476175,62976168,63823011,64002492,64402904,64404937,65082507,65306942,65477701,65960610,66005847,66040148,66094827,66546937,66699397,66979175,67004101,67084962,67308517,67435604,68220037,68785320,69340139,69526628,70357984,70434843,70487497,70848189,70919204,71367810,71540101,71802220,72289801,72453267,73005908,73321391,73336357,73371008,73865787,73979918,74081737,74627108,74643038,74845715,74971410,75567097,75773144,75979775,76125664,76298318,76307330,76944867,77383485,77479175,77909315,78095828,78494163,78700947,79152732,79248997,79863050,79969504,80375010,80709157,80726307,81284883,81485295,81872101,82162117,82227518,82542384,83211182,84520718,85244787,85501358,85641372,85691864,85731711,85733344,86162664,86192101,86283340,86620537,86884971,86905801,86917648,87165290,87617701,87784478,87837695,88435502,88752997,89318917,89404611,89606228,89814858,89965692,90385118,90523604,90869257,91175730,91357982,91568796,92005838,92068535,92585828,92653118,92860182,92975010,92976542,93248101,93491178,93730388,94221577,94896195,94914062,95102804,95331428,95835660,96321291,96403347,96450012,96932997,96998127,97254112,97443411,97782354,98080201,98131742,99173344,99735182,99852517,...,2016554665191179730109221788494778585353139948689362956507944453359502349138207869184269903375842240901579287655058097479801800638632140423527849434080630982899582232816841312938583584367201075230114449158612870233398024379866653811924229646829481195875673408059298529697326886046756670011838046103184302970280156407110536848762762897635722628954452501076978381910189099776804592752348379975510026949613168525156661378053257217151111467453532589857881512204773352447205698996681622703969273585976728955026532786082331029773644594691909192109213944588554725567209206651097273308144452245609218912124774426068292656120768862847724583981351927767591064060754678310140084122639970703599285082281649909698217701599319192484727746171375962588979389176168818505120871759193176280531807563751730431806283638718203385062290539713760981267742978546902905677858234389200132170225265999652148061680615393629472271689169139153049921464660874478185758369888555047244358935396620626167081405736183070421301390788222851272713781063162073839024246528600688092216275966020297057545808741122607077195339915970144466191600469563702378441358421216930331234013444908512972781802540379216326173302745000968084391918761780263571919438855982213204274584816387573158532976966778892737274869568427784254888046438641061898255057512515850418349539115905676119324813965435625581461635185862909246228372480346329215128817839630300819203132567036381482541115039713851140978188008779497999206544779337580118738554811501364188653201883572259451360751962680193435596642762082547307573336589759310340209929844341212553817221003702556603003603044695281746301959481576759805194111689812948212067780708448214536000145606270260359064439300238080232940742442171517196423944406126210734545709061240138937254777735210549981841945744793775638387113184574291960828704446897034231464675296221881038173596156097430140516579889933119805554293576572763974748602158300059661184133715305482916725157114462916925896927892364527415961362989803870790172452080536604819804219305043914975151370631916816689257564265322967716827296633503535848295016574391189560753627253725318831308992879838497487110810394270747197760050578163907689665426338715241361927577790274267717435298850560316514882488219578893286634741441422867559257754521303473581494560969255865476629919385899412084693460472667088117681296384672415921655843483277346901073903089194540084673528854855276517122898014709769715330136471496789565559658261021962011336613485036891793541584786379244173905149301766529869809030388955299251079122003522558320696428473896048330624983528659490654437544207885315471545695249030706726230697787716790108149769881412621089517189286045613557992366853483486388329656046105866034705586903158530786515719410392590529238760172909734359732833919610503577566600297864150455804910158538161216017611151214547328675864319337796406223005657896219675774629623834176194007227868564387435716315192327543704024305049411933140807187935568370590047840539091589823016951821223298180120637105408381284202762274824083392068054819302982902750019120915415946620286498799465775756906373754207174491325589245966288257812703236838273259989776334514574860388665032777911283348116296487100571675803082920259364753201070613451675873501987346889195165592367189373119764949249315322215986720792901501446447284205260272582571107569662016122067532892913567976255677647659138591760220123507226016975368289327282563939239307482341153042485422909797313330256961802515127094764532019587744117452676605276869124386633103606326448418753846618558404841928716233653858168797173724049578526988856880292219762783897920101589903905526707993553522307510112406929418713896339958004498401942448364551704984466987707559909772235052292277211419511010670588766721763647493993151595183933377891754796035465547832620530468989935478504617464311212526459304953969494631397459778180942732232771164235543673467692360388975654859959556862180289814481597782148311718326641085643614881895743748494152567917250302135680854715629775540092311962982256631293361660798203616470622365017594780960797402399194002102471512751278929429097213209775174940859894253658610690947718571356251668223241079003234980039255244497941590069045779603510225407364394239371105390785262943761161867805250276060640718529647674732702405397668754855387150189403274927167770467249340211443670056836151876163337973600865237269901159517828021456770920650268301650950568243938771470754082231647078333856514362123045800380837434284174877824888430804718945124434894101712048258275327444271541620530453867606653289650621095198947116902678260406776966682724877253499887648616380769867038258498542554040599579677419061066743652997077450648133545975208513261560476151691496542333058908578677501135705485752842198850621352125515701234368854292859351213422414116}
30203  518238026307867866618610718744449255992889534302955427624565179741444427132259392902876: {30203,241576,271773,1177293,1660285,1720317,1992342,2565385,2805717,2958326,3078462,3651901,4226180,4374505,5071416,5249406,5492942,5515437,5579785,5705343,6037400,6056733,6695742,6792075,7244880,7632757,7727872,7847060,8150490,8693856,8718841,8759973,8891005,9191785,9295748,9299973,9416472,9780588,9839757,10284901,10593531,10669206,11030142,11370697,11897005,12446581,13180357,13279640,13398505,14276406,14903486,14939595,15198985,15935568,16078206,16098685,16398505,17495653,17571037,17780830,17927514,18238782,18983037,19095085,19242718,19318422,19428836,19556317,19678206,20764393,20891005,21336996,21660357,22183035,22536661,22685485,22914102,23585902,23661904,24081061,24185557,24993790,25069206,25221284,25399533,25733582,26168197,26179748,26408375,26619642,26669396,26912341,27149833,27222582,27489517,27755480,27799837,28421077,28826581,29470837,29805493,29992548,30191493,31224915,31253997,31339021,31690050,32195230,32337001,32573773,32846133,33306576,33431101,33802720,34090837,34305541,35103901,35139742,35495373,35801005,35828137,36762260,37370233,37399640,37469898,37583485,37726250,38028060,38634276,39195237,39506857,40551085,40563264,40622437,40871726,41180830,41440585,42033385,42074595,42256957,42475333,42961206,43391222,43552484,44114712,44726276,44770030,44879568,45100182,45132824,45271500,45536761,45633672,46404133,47045878,47361385,48158926,48289600,48661302,48981464,49167997,49247126,49416996,49429885,49485517,49616761,49629051,49728702,49779716,50148430,50440062,50489514,50754477,50774427,51190477,51337881,51791485,52376941,53099797,53269897,53366997,53724036,53841997,54325800,54410493,54931917,55076677,55104147,55974117,56352541,56507005,56833662,56838382,57455173,57927158,57947520,58388180,59051593,59095597,59315862,59615013,59751901,60178116,60187155,60858373,60918505,61116525,61563236,61596277,61810688,61843886,61982077,61987460,62149782,63894680,64199632,64280613,64562437,64897381,65190960,65321005,65426857,65600175,66301501,66510781,66609956,66857758,66865053,67808406,67958185,69125102,69537024,69835597,69973316,69973520,70065816,71001061,71113880,71503437,71651375,71881515,72145112,72224586,72429037,72692782,72819157,73102206,73339830,73659716,74384952,74980381,74986573,75016676,75098973,75387997,75392331,75889502,76052942,76478415,76673616,76784917,77418997,77936024,78212341,78229152,78385206,78720210,78824043,80003115,80147401,80503630,81163251,81549822,81576976,81742966,82550185,83046548,83458981,83522366,83683071,83968224,84294505,84542473,85097348,85336656,85981650,86257818,86630038,86776676,86838357,86908285,87594901,87678027,87947480,88007796,88126436,88268233,88361157,88569782,88649005,89194501,89375277,89446616,89752775,89822077,90056377,90369206,90388533,90597507,91257385,91713760,91774098,91861717,92264053,92585806,92917893,93283885,93423117,93913124,94094557,94152301,94464252,94716430,94750261,95157080,96003738,96604356,97277737,97619785,97960413,98487716,98646157,98940915,99060222,99641101,99961880,...,3024831997786769595163832682742167878029709923034044434761916680039253523707311803776404855063763361352368931482587146219702700957948210635291774151120946474349373349225261969407875376550801612845171673737919305350097036569799980717886344470244221793813510112088947794545990329070135005017757069154776454455420234610665805273144144346453583943431678751615467572865283649665206889128522569963265040424419752787734992067079885825726667201180298884786822268307160028670808548495022434055953910378965093432539799179123496544660466892037863788163820916882832088350813809976645909962216678368413828368187161639102438984181153294271586875972027891651386596091132017465210126183959956055398927623422474864547326552398978788727091619257063943883469083764253227757681307638789764420797711345627595647709425458077305077593435809570641471901614467820354358516787351583800198255337898999478222092520923090444208407533753708729574882196991311717278637554832832570866538403094930939250622108604274605631952086182334276909070671594743110758536369792901032138324413949030445586318713111683910615793009873955216699287400704345553567662037631825395496851020167362769459172703810568824489259954117501452126587878142670395357879158283973319806411877224581359737799465450168339105912304352641676382332069657961592847382586268773775627524308673858514178987220948153438372192452778794363869342558720519493822693226759445451228804698850554572223811672559570776711467282013169246998809817169006370178107832217252046282979802825358389177041127944020290153394964143123820961360004884638965510314894766511818830725831505553834904505404567042922619452939222365139707791167534719422318101671062672321804000218409405390538596658950357120349411113663257275794635916609189316101818563591860208405882166602815824972762918617190663457580669776861437941243056670345551347197012944332821557260394234146145210774869834899679708331440364859145962122903237450089491776200572958224375087735671694375388845391838546791123942044484705806185258678120804907229706328957565872462727055947875225033886346397984451575240944950255303772442524861586784341130440880587978246963489319757746230666215591406120796640075867245861534498139508072862042891366685411401576152948275840474772323732329368339929952112162134301338886631781955210372241841453883798214944879078849118127040190709000632176521944577008623882483765224916020351610854633791810127010293282282914775684347022064654572995204707245184348339487391532943017004920227555337690312377179568866260857723952649794804713545583432948876618683005283837481044642710844072495937475292989235981656316311827973207318542873546060089346046681575185162224654822118931634275783929068420336988550280225229582494484069158799052058380354737796179773579115588885793858140259364601539599250879415755366349900446796225683707365237807241824026416726821820993013796479006694609334508486844329513661944435751264291010841802846581153574472788491315556036457574117899711210781903352555885071760808637384734525427731834947270180955658112571926304143412236125088102082228954474354125028681373123919930429748199198663635359560631310761736988383868949432386719054855257409889984664501771862290582997549166866925022174444730650857513704624380389047129801605920177513810252981020333792748388550784059679647423873972983323980081189352252169670926307890408873856661354493024183101299339370351964383516471488707887640330185260839025463052433990923845908858961223511729563728134364695969995385442703772690642146798029381616176179014907915303686579949655409489672628130769927837607262893074350480787253195760586074367790483285320438329644175846880152384855858290061990330283461265168610394128070844509937006747602913672546827557476700481561339864658352578438415817129266516005883150082645471240989727392775900066837632194053198321748930795703484903217756926196466818789688957430954241947096189667271414098349156746353315510201538540583463482289939335293270434721722396673222467577489961628465422322843615622741228851875875453203521282073444663310138467944473384946940042491197305424705933547526392171441196103598791003153707269126918394143645819814662762411289841380487916036421577857034377502334861618504852470058882866746912385103568669405265338111046591359056658086177894415641742801707875414090961077794471512099053608096503132283080725284104912390751655700874010317165505085254227814245006960401297855904851739276742032185156380975402452476425852365908157206131123347470617500784771543184568700571256151426262316737332646207078417686652341152568072387412991166407312430795680801409979934475931642798420675354017390610165450024087315880249831472924571154800557387747813831060899369516128591600115479495616175972200318962812769892340714227537244813499588362868016251703558228629263298275932028188273551851553281439289026820133621174}
30204  519843723337866294691469446983678865887067939853889285330275068360186232805449615240361: {211379,301970,362364,513179,694163,1296923,1569724,2019179,2139443,2293756,2473202,2656456,2988513,3040403,3220379,3400283,3740956,4104616,4437489,4617693,4717379,4999754,5282725,5360114,5732483,5792123,6339270,6761888,6800114,6999208,7353916,7546750,7607124,7696379,7874109,7878602,8075644,8239413,8289779,8467643,8927656,9056100,9659840,9808825,9887963,10043613,10065179,10390034,10537403,10867320,10950179,11464202,11591808,11619685,11679964,11770590,11951003,12225735,12399964,12555296,13040784,13119676,13184123,13770083,13943622,14124708,14225608,14472179,14670882,14706856,15464843,16003809,16047683,16545213,16599550,16687883,16815602,16920443,17559323,18255179,18660563,19035208,19874363,19919460,19989779,20704166,21247424,21414609,21437608,22119203,22355229,22406123,22841354,23903352,24117309,24123443,24286045,24318376,25150379,25310716,25719779,25757896,26237608,26366474,26572379,26671245,26718194,26891271,27358173,27421202,27876203,28449328,28474634,28724243,28864077,28880476,28977633,29119379,29143254,29517309,29570483,29577380,30077363,30552136,30639803,31526605,32005494,32098403,32724685,33336745,33425608,33722354,33866044,33997643,34276163,34371153,34443179,34694350,35378853,35492856,36296776,36939779,37105643,37490685,37603809,37658003,37831926,38600373,39255323,39269622,39420179,39491221,39929463,39990064,40004094,40255324,40833873,41228843,41360402,41633220,41671996,41720603,41775203,42253400,42396554,42538763,42858781,42865523,43794844,44223923,44408768,44988822,45307043,45497234,45685379,45793403,45952825,45955379,46117283,46749550,47302379,47327164,47455837,47463683,47535075,47571179,48292845,49271114,49554083,49959864,50639114,50704080,51153803,51419723,51512368,52260316,52709613,53962379,54084352,54440605,55143390,55907845,56099460,56174678,56204847,56224523,56416030,56486603,56589375,56766602,57042090,57281608,57794003,57951414,58523963,58819616,59839424,60133576,60362000,60393803,60844896,61162994,61226830,61307589,61686203,61771245,61789379,62150243,62224645,62562179,62716523,62922203,63126973,63846179,64441809,64460723,64881736,65086833,65328726,65635379,65889328,66144779,66172068,66246563,66304936,67008923,67089414,67155045,67253416,67319352,67650273,67668179,67672636,67699236,67769483,67907250,68194021,68427179,68450508,68547602,69215474,69335603,70040363,70542803,70568817,70693379,70882634,71155996,71379854,71595323,71632048,72238389,72295043,72434400,72547324,72985225,72991953,73242556,73341683,73472196,73689779,73870689,74125494,74593053,74632156,74669574,75200402,75222645,75660093,75734271,75778216,75918179,76164779,76657379,76954045,77263360,77484325,77640179,77787323,78265789,79087816,79486684,79839779,79868350,80237488,80249540,80309878,80586054,80715083,81138674,81488700,81947437,82866376,83084723,83262445,83435402,84909179,85250493,85257573,85707484,86051594,86103179,86652553,86817179,86890737,86921280,87466645,87466900,87582270,87624203,87671603,87766379,88806803,88892350,88973793,88983794,89089883,89153404,89308874,89325563,89796323,89958602,90181390,90267174,90411208,90454043,90607754,90922883,92074645,92344854,92697179,92716032,92765829,92981190,93224673,93255083,93421088,93719123,93770845,93858179,94783379,95106443,95337916,95842020,95935379,96073283,96299448,96486563,96761723,97389074,97420030,97469608,97786440,97859483,99179936,99588179,99914934,...,4537247996680154392745749024113251817044564884551066652142875020058880285560967705664607282595645042028553397223880719329554051436922315952937661226681419711524060023837892954111813064826202419267757510606878958025145554854699971076829516705366332690720265168133421691818985493605202507526635603732164681683130351915998707909716216519680375915147518127423201359297925474497810333692783854944897560636629629181602488100619828738590000801770448327180233402460740043006212822742533651083930865568447640148809698768685244816990700338056795682245731375324248132526220714964968864943325017552620742552280742458653658476271729941407380313958041837477079894136698026197815189275939934083098391435133712296820989828598468183090637428885595915825203625646379841636521961458184646631196567018441393471564138187115957616390153714355962207852421701730531537775181027375700297383006848499217333138781384635666312611300630563094362323295486967575917956332249248856299807604642396408875933162906411908447928129273501415363606007392114666137804554689351548207486620923545668379478069667525865923689514810932825048931101056518330351493056447738093245276530251044154188759055715853236733889931176252178189881817214005593036818737425959979709617815836872039606699198175252508658868456528962514573498104486942389271073879403160663441286463010787771268480831422230157558288679168191545804013838080779240734039840139168176843207048275831858335717508839356165067200923019753870498214725753509555267161748325878069424469704238037583765561691916030435230092446214685731442040007326958448265472342149767728246088747258330752356758106850564383929179408833547709561686751302079133477152506594008482706000327614108085807894988425535680524116670494885913691953874913783974152727845387790312608823249904223737459144377925785995186371004665292156911864585005518327020795519416499232335890591351219217816162304752349519562497160547288718943184354856175134237664300859437336562631603507541563083268087757820186685913066727058709277888017181207360844559493436348808694090583921812837550829519596976677362861417425382955658663787292380176511695661320881967370445233979636619345999323387109181194960113800868792301747209262109293064337050028117102364229422413760712158485598494052509894928168243201452008329947672932815558362762180825697322417318618273677190560286063500948264782916865512935823725647837374030527416281950687715190515439923424372163526520533096981859492807060867776522509231087299414525507380341333006535468565769353299391286585928974692207070318375149423314928024507925756221566964066266108743906212939483853972484474467741959810977814310319090134019070022362777743336982233178397451413675893602630505482825420337844373741726103738198578087570532106694269660368673383328690787210389046902309398876319123633049524850670194338525561047856710862736039625090232731489520694718510041914001762730266494270492916653626896436516262704269871730361709182736973334054686361176849566816172855028833827607641212956077101788141597752420905271433487168857889456215118354187632153123343431711531187543022059685879895644622298797995453039340946966142605482575803424148580078582282886114834976996752657793435874496323750300387533261667095976286270556936570583570694702408880266270715379471530500689122582826176089519471135810959474985970121784028378254506389461835613310784992031739536274651949009055527946575274707233061831460495277891258538194578650986385768863288441835267594345592201547043954993078164055659035963220197044072424264268522361872955529869924483114234508942196154891756410894339611525721180879793640879111551685724927980657494466263770320228577283787435092985495425191897752915591192106266764905510121404370508820241336215050722342009796987528867657623725693899774008824725123968206861484591089163850100256448291079797482623396193555227354826635389294700228184533436146431362920644284500907121147523735119529973265302307810875195223434909002939905652082583595009833701366234942442698133484265423434111843277813813179805281923110166994965207701916710077420410063736795958137058900321289588257161794155398186504730560903690377591215468729721994143616934762070731874054632366785551566253502292427757278705088324300120368577655353004107898007166569887038584987129266841623462614202561813121136441616691707268148580412144754698424621087926157368586127483551311015475748257627881341721367510440601946783857277608915113048277734571463103678714638778548862235809196685021205926251177157314776853050856884227139393475105998969310617626529978511728852108581119486749610968646193521202114969901713897464197631013031026085915248175036130973820374747209386856732200836081621720746591349054274192887400173219243424263958300478444219154838511071341305867220249382544302024377555337342943894947413898042282410327777329922158933540230200431761}
30205  521454366519333656977334685028656501277917472983457400883068407283980399416543072467689: {60406,452955,483152,543546,1962155,2324399,2354586,2867195,3320570,3440634,3591539,3709803,3984684,4315883,4676195,5130770,5611434,5916652,6124307,6156924,7303802,7499631,7811699,8040171,8452360,8749010,9020531,9192395,9508905,9744587,10094555,10142832,10200171,10498812,10985884,11030874,11159570,11320125,11410686,11817903,12074800,12113466,12154883,12447407,12868499,13391484,13584150,14489760,14599955,15265514,15455744,15499955,15585051,15694120,16300980,16399595,16655807,17196303,17387712,17437682,17519946,17655885,17782010,18383570,18591496,18599946,18757907,18832944,19561176,19679514,20219243,20569802,20765771,20915433,21187062,21278579,21338412,22006323,22060284,22538159,22741394,22957907,23112011,23794010,24893162,24899325,25223403,26360714,26559280,26733119,26797010,26914127,28552812,28582931,29247407,29806972,29807471,29879190,30343931,30397970,30926051,31056249,31638395,31759679,31871136,32113499,32156412,32197370,32339147,32487611,32797010,34093103,34262031,34567139,34829171,34991306,35142074,35561660,35855028,36100595,36477564,36971725,37575851,37966074,38190170,38299043,38341487,38485436,38636844,38857672,39112634,39356412,39509483,39549711,40077291,40289171,40436387,41131803,41528786,41766731,41782010,42332555,42673992,42711951,43320714,43714881,44366070,45073322,45370970,45828204,47171804,47323808,47472431,48008241,48162122,48371114,49620059,49987580,50121407,50138412,50319155,50442568,50553011,50583531,50799066,50894027,51467164,52041525,52089995,52336394,52359496,52616879,52816750,53239284,53338792,53824682,54299666,54445164,54697151,54743555,54979034,55454027,55510960,55599674,55690031,56747889,56771519,56842154,56943683,57653162,58016819,58501787,58846739,58904433,58941674,59158955,59610986,59755883,59985096,60006141,60382986,62040603,62449830,62507994,62678042,63380100,63594831,63631451,63728051,64390460,64674002,65147546,65325395,65692266,65727947,66256703,66305939,66613152,66862202,67483233,67605440,68181674,68245851,68611082,68618411,68952227,69201839,69590543,69840251,70124325,70207802,70279484,70615883,70990746,71602010,71656274,72508079,72532367,73524520,73906671,74740466,74799280,74939796,75166970,75287603,75452500,75958671,76056120,76371311,77268552,77424143,78390474,79013714,79064819,79109807,79354127,81102170,81126528,81244874,81743452,82361660,82676459,82715085,82881170,84066770,84149190,84262017,84513914,84590795,84624045,84950666,85149903,85285907,85563135,85922412,86288099,86782444,86927121,87104968,87950147,88229424,88944995,89452552,89540060,89576507,89759136,90062363,90200364,90265648,90543000,90684155,90745811,91073522,91157099,91267344,91449407,91553195,91744491,91840245,91867823,92808266,93290195,94091756,94449371,94722770,94756559,95141459,96016703,96317852,96579200,97284203,97322604,97962928,97993089,98335994,98494252,98652731,98833992,98859770,98971034,99233522,99258102,99358355,99457404,99559432,...,6049663995573539190327665365484335756059419846068088869523833360078507047414623607552809710127526722704737862965174292439405401915896421270583548302241892948698746698450523938815750753101603225690343347475838610700194073139599961435772688940488443587627020224177895589091980658140270010035514138309552908910840469221331610546288288692907167886863357503230935145730567299330413778257045139926530080848839505575469984134159771651453334402360597769573644536614320057341617096990044868111907820757930186865079598358246993089320933784075727576327641833765664176701627619953291819924433356736827656736374323278204877968362306588543173751944055783302773192182264034930420252367919912110797855246844949729094653104797957577454183238514127887766938167528506455515362615277579528841595422691255191295418850916154610155186871619141282943803228935640708717033574703167600396510675797998956444185041846180888416815067507417459149764393982623434557275109665665141733076806189861878501244217208549211263904172364668553818141343189486221517072739585802064276648827898060891172637426223367821231586019747910433398574801408691107135324075263650790993702040334725538918345407621137648978519908235002904253175756285340790715758316567946639612823754449162719475598930900336678211824608705283352764664139315923185694765172537547551255048617347717028357974441896306876744384905557588727738685117441038987645386453518890902457609397701109144447623345119141553422934564026338493997619634338012740356215664434504092565959605650716778354082255888040580306789928286247641922720009769277931020629789533023637661451663011107669809010809134085845238905878444730279415582335069438844636203342125344643608000436818810781077193317900714240698822227326514551589271833218378632203637127183720416811764333205631649945525837234381326915161339553722875882486113340691102694394025888665643114520788468292290421549739669799359416662880729718291924245806474900178983552401145916448750175471343388750777690783677093582247884088969411612370517356241609814459412657915131744925454111895750450067772692795968903150481889900510607544885049723173568682260881761175956493926978639515492461332431182812241593280151734491723068996279016145724085782733370822803152305896551680949544647464658736679859904224324268602677773263563910420744483682907767596429889758157698236254080381418001264353043889154017247764967530449832040703221709267583620254020586564565829551368694044129309145990409414490368696678974783065886034009840455110675380624754359137732521715447905299589609427091166865897753237366010567674962089285421688144991874950585978471963312632623655946414637085747092120178692093363150370324449309644237863268551567858136840673977100560450459164988968138317598104116760709475592359547158231177771587716280518729203079198501758831510732699800893592451367414730475614483648052833453643641986027592958013389218669016973688659027323888871502528582021683605693162307148945576982631112072915148235799422421563806705111770143521617274769469050855463669894540361911316225143852608286824472250176204164457908948708250057362746247839860859496398397327270719121262621523473976767737898864773438109710514819779969329003543724581165995098333733850044348889461301715027409248760778094259603211840355027620505962040667585496777101568119359294847747945966647960162378704504339341852615780817747713322708986048366202598678740703928767032942977415775280660370521678050926104867981847691817717922447023459127456268729391939990770885407545381284293596058763232352358029815830607373159899310818979345256261539855675214525786148700961574506391521172148735580966570640876659288351693760304769711716580123980660566922530337220788256141689019874013495205827345093655114953400963122679729316705156876831634258533032011766300165290942481979454785551800133675264388106396643497861591406969806435513852392933637579377914861908483894192379334542828196698313492706631020403077081166926964579878670586540869443444793346444935154979923256930844645687231245482457703751750906407042564146889326620276935888946769893880084982394610849411867095052784342882392207197582006307414538253836788287291639629325524822579682760975832072843155714068755004669723237009704940117765733493824770207137338810530676222093182718113316172355788831283485603415750828181922155588943024198107216193006264566161450568209824781503311401748020634331010170508455628490013920802595711809703478553484064370312761950804904952851704731816314412262246694941235001569543086369137401142512302852524633474665292414156835373304682305136144774825982332814624861591361602819959868951863285596841350708034781220330900048174631760499662945849142309601114775495627662121798739032257183200230958991232351944400637925625539784681428455074489626999176725736032503407116457258526596551864056376547103703106562878578053640267242348}
30206  523069970999689811070169212627831098729490570809903914607774351137890470479969036320685: {90609,422758,573553,603940,724728,815319,1026358,1116253,1388326,2019313,2199709,2593846,2920573,3100609,3139448,3280573,3531879,4038358,4278886,4587512,4946404,4980855,5160951,5312912,5792509,5977026,6080806,6440758,6686209,6800566,7395815,7481912,7696155,8209232,8417151,8874978,9235386,9434758,9999508,10565450,10720228,10955703,11127709,11464966,11584246,12678540,13123515,13523776,13600228,13732355,13998416,14707832,15093500,15214248,15392758,15524209,15748218,15757204,16151288,16267559,16478826,16546311,16579558,16739355,16935286,17095933,17116029,17855312,17966593,18112200,18170199,18314353,19319680,19617650,19775926,20087226,20130358,20376225,20780068,21074806,21603709,21734640,21900358,22637053,22898271,22928404,23183616,23239370,23359928,23541180,23902006,24182209,24451470,24799928,25110592,25209073,26081568,26156523,26239352,26279919,26368246,26673015,26914753,27425053,27540166,27575355,27887244,27899919,28249416,28451216,28944358,29121373,29341764,29413712,29519271,30135709,30304513,30854703,30929686,31147453,31780593,32007618,32095366,32827933,33090426,33199100,33375766,33631204,33840886,34000463,34112091,35118646,35691015,36510358,36997633,37258715,37321126,37339743,37494973,38070416,38322433,39541071,39748726,39838920,39979558,40195515,40300993,41408332,41614273,41778109,42494848,42596209,42829218,42875216,44137247,44227009,44238406,44389693,44452075,44710458,44812246,44818785,45202033,45596955,45682708,45814559,46012573,46498033,46671443,47305693,47628253,47806704,48106795,48234618,48246886,48272509,48296055,48572090,48636752,49195515,50038273,50300758,50518333,50621432,51439558,51515792,52475216,52486959,52713111,52732948,53144758,53342490,53436388,53782542,54716346,54842404,55752406,56071153,56084171,56898656,56949111,56949268,57285255,57448486,57728154,57760952,57955266,58238758,58286508,58580209,58668951,58964755,59034618,59140966,59154760,59983453,60154726,61070833,61104272,61279606,62293179,62484475,62618113,62673015,63053210,63850753,64010988,64196806,64333955,64981071,65449370,66302209,66454813,66549105,66673490,66851216,67444708,67609983,67732088,67995286,68056455,68432113,68552326,68583709,68742306,68886358,69388700,70757706,70985712,72243183,72556671,72593552,73695133,73879558,74211286,74737153,74981370,75207618,75316006,75479293,75663852,76198599,76216847,76662973,77200746,78270983,78504591,78510646,78539244,78840358,78982442,79225125,79858926,79980128,80008188,80478109,80488075,80510648,80737023,81449499,81667746,82457686,82468551,82720804,83266440,83343992,83399511,83441206,83524033,83550406,83938063,84506800,84793108,85077526,85263231,85537009,85717562,85731046,86479743,87114503,87589688,87678109,87820273,87849355,88412511,88447846,88817536,89096509,89416479,89803009,89977644,90507709,90574479,90614086,90994468,91370758,91586806,91905650,91910758,92234566,92750653,93499100,93674745,93761991,94017063,94315625,94604758,94654328,94836673,94911674,94927366,95070150,95142358,95881819,96585690,96846971,97011003,97721319,98277373,98538399,98542228,98687233,99108166,99641053,99919728,...,9074495993360308785491498048226503634089129769102133304285750040117760571121935411329214565191290084057106794447761438659108102873844631905875322453362839423048120047675785908223626129652404838535515021213757916050291109709399942153659033410732665381440530336266843383637970987210405015053271207464329363366260703831997415819432433039360751830295036254846402718595850948995620667385567709889795121273259258363204976201239657477180001603540896654360466804921480086012425645485067302167861731136895280297619397537370489633981400676113591364491462750648496265052441429929937729886650035105241485104561484917307316952543459882814760627916083674954159788273396052395630378551879868166196782870267424593641979657196936366181274857771191831650407251292759683273043922916369293262393134036882786943128276374231915232780307428711924415704843403461063075550362054751400594766013696998434666277562769271332625222601261126188724646590973935151835912664498497712599615209284792817751866325812823816895856258547002830727212014784229332275609109378703096414973241847091336758956139335051731847379029621865650097862202113036660702986112895476186490553060502088308377518111431706473467779862352504356379763634428011186073637474851919959419235631673744079213398396350505017317736913057925029146996208973884778542147758806321326882572926021575542536961662844460315116577358336383091608027676161558481468079680278336353686414096551663716671435017678712330134401846039507740996429451507019110534323496651756138848939408476075167531123383832060870460184892429371462884080014653916896530944684299535456492177494516661504713516213701128767858358817667095419123373502604158266954305013188016965412000655228216171615789976851071361048233340989771827383907749827567948305455690775580625217646499808447474918288755851571990372742009330584313823729170011036654041591038832998464671781182702438435632324609504699039124994321094577437886368709712350268475328601718874673125263207015083126166536175515640373371826133454117418555776034362414721689118986872697617388181167843625675101659039193953354725722834850765911317327574584760353023391322641763934740890467959273238691998646774218362389920227601737584603494418524218586128674100056234204728458844827521424316971196988105019789856336486402904016659895345865631116725524361651394644834637236547354381120572127001896529565833731025871647451295674748061054832563901375430381030879846848744327053041066193963718985614121735553045018462174598829051014760682666013070937131538706598782573171857949384414140636750298846629856049015851512443133928132532217487812425878967707944968948935483919621955628620638180268038140044725555486673964466356794902827351787205261010965650840675688747483452207476397156175141064213388539320737346766657381574420778093804618797752638247266099049701340388677051122095713421725472079250180465462979041389437020083828003525460532988540985833307253792873032525408539743460723418365473946668109372722353699133632345710057667655215282425912154203576283195504841810542866974337715778912430236708375264306246686863423062375086044119371759791289244597595990906078681893932285210965151606848297160157164565772229669953993505315586871748992647500600775066523334191952572541113873141167141389404817760532541430758943061001378245165652352179038942271621918949971940243568056756509012778923671226621569984063479072549303898018111055893150549414466123662920990555782517076389157301972771537726576883670535188691184403094087909986156328111318071926440394088144848528537044723745911059739848966228469017884392309783512821788679223051442361759587281758223103371449855961314988932527540640457154567574870185970990850383795505831182384212533529811020242808741017640482672430101444684019593975057735315247451387799548017649450247936413722969182178327700200512896582159594965246792387110454709653270778589400456369066872292862725841288569001814242295047470239059946530604615621750390446869818005879811304165167190019667402732469884885396266968530846868223686555627626359610563846220333989930415403833420154840820127473591916274117800642579176514323588310796373009461121807380755182430937459443988287233869524141463748109264733571103132507004584855514557410176648600240737155310706008215796014333139774077169974258533683246925228405123626242272883233383414536297160824289509396849242175852314737172254967102622030951496515255762683442735020881203893567714555217830226096555469142926207357429277557097724471618393370042411852502354314629553706101713768454278786950211997938621235253059957023457704217162238973499221937292387042404229939803427794928395262026062052171830496350072261947640749494418773713464401672163243441493182698108548385774800346438486848527916600956888438309677022142682611734440498765088604048755110674685887789894827796084564820655554659844317867080460400863522}
30207  524690551972473137872814773455820225332140219780862576626222321882256912961235227617216: {120812,634137,754925,905910,966304,1087092,1539537,2082489,2747017,3890769,3924310,4014073,4648798,4709172,5100589,5734390,6057537,6183005,6418329,6546673,6641140,6881268,7183078,7419606,7969368,8631766,8965539,9121209,9352390,9661137,10200849,10261540,10891009,11222868,11833304,12248614,12313848,12499385,12869353,13312467,13400285,13853079,14132377,14152137,14607604,14869373,14999262,15623398,15848175,15955169,16080342,16904720,17000285,17197449,17376369,17498020,18041062,18384790,18866875,19017810,19489174,19558913,19696505,20189110,20285664,20400342,20439937,20997624,21699937,21971768,22061748,22319140,22640250,22821372,22959433,23089137,23622327,23635806,23895469,24149600,24226932,24309766,24718239,24869337,24894814,25402929,25736998,25975085,26782968,27153437,27168300,27493169,28660505,28979520,29199910,29426475,29663889,30130839,30195537,30531028,30911488,30999910,31170102,31388240,31612209,32578097,32601960,32799190,32850537,33311614,34392606,34569433,34775424,34859055,34875364,35039892,35311770,35414753,35564020,35832893,35853009,36353633,36677205,36767140,37182992,37199892,37515814,37665888,37952317,39122352,39359028,39552369,40167289,40291849,40438486,41139604,41252077,41310249,41498875,41531542,41830866,42039005,42374124,42557158,42676824,43416537,44012646,44120568,44293753,45076318,45193609,45298913,45482788,45915814,46224022,46394529,47588020,48011427,48143049,49174529,49247033,49635639,49786324,49798650,50063649,50446806,50540833,50761329,51533609,51662813,51760415,52677969,52721428,53118560,53466238,53594020,53828254,54765537,55163273,55457713,55981689,57103385,57105624,57165862,58039313,58494814,59265577,59613944,59614942,59623089,59758380,59969337,60687862,60795940,61852102,62112498,62536393,63276790,63519358,63742272,64226998,64243827,64312824,64394740,64678294,64975222,65435549,65594020,65916185,66357609,66519617,66795485,66941393,67065687,67218369,67956013,68123089,68186206,68524062,68553005,69134278,69658342,69982612,70284148,70446817,70620589,71123320,71186585,71710056,72201190,72351927,72370329,72858135,72925993,72955128,73707553,73943450,74625337,75151702,75451137,75932148,76380340,76598086,76640977,76682974,76970872,77159337,77273688,77659709,77715344,78154529,78225268,78712824,78960169,79018966,79099422,79717137,80013735,80154582,80578342,80673813,80872774,81291997,82074519,82243369,82263606,82822537,83057572,83533462,83564020,83628609,84305885,84665110,85347984,85423902,86172729,86592231,86641428,86709457,86735875,86932899,87358137,87429762,87955993,88551927,88553993,88711449,88732140,90146644,90232089,90741940,91323473,91455553,91656408,91919409,93310313,94343608,94455649,94579815,94647616,94678097,94944862,96016482,96295209,96324244,96742228,98174055,99240118,99975160,...,13611743990040463178237247072339755451133694653653199956428625060176640856682903116993821847786935126085660191671642157988662154310766947858812983680044259134572180071513678862335439194478607257803272531820636874075436664564099913230488550116098998072160795504400265075456956480815607522579906811196494045049391055747996123729148649559041127745442554382269604077893776423493431001078351564834692681909888887544807464301859486215770002405311344981540700207382220129018638468227600953251792596705342920446429096306055734450972101014170387046737194125972744397578662144894906594829975052657862227656842227375960975428815189824222140941874125512431239682410094078593445567827819802249295174305401136890462969485795404549271912286656787747475610876939139524909565884374553939893589701055324180414692414561347872849170461143067886623557265105191594613325543082127100892149020545497651999416344153906998937833901891689283086969886460902727753868996747746568899422813927189226627799488719235725343784387820504246090818022176343998413413664068054644622459862770637005138434209002577597771068544432798475146793303169554991054479169343214279735829590753132462566277167147559710201669793528756534569645451642016779110456212277879939128853447510616118820097594525757525976605369586887543720494313460827167813221638209481990323859389032363313805442494266690472674866037504574637412041514242337722202119520417504530529621144827495575007152526518068495201602769059261611494644177260528665801485244977634208273409112714112751296685075748091305690277338644057194326120021980875344796417026449303184738266241774992257070274320551693151787538226500643128685060253906237400431457519782025448118000982842324257423684965276607041572350011484657741075861624741351922458183536163370937826469749712671212377433133777357985559113013995876470735593755016554981062386558249497697007671774053657653448486914257048558687491481641866156829553064568525402712992902578312009687894810522624689249804263273460560057739200181176127833664051543622082533678480309046426082271751765438512652488558790930032088584252276148866975991361877140529535086983962645902111335701938909858037997970161327543584880341402606376905241627786327879193011150084351307092688267241282136475456795482157529684784504729604356024989843018798446675088286542477091967251955854821031571680858190502844794348750596538807471176943512122091582248845852063145571546319770273116490579561599290945578478421182603329567527693261898243576522141023999019606405697308059898173859757786924076621210955125448269944784073523777268664700892198798326231718638818451561917453423403225879432933442930957270402057210067088333230010946699535192354241027680807891516448476261013533121225178311214595734262711596320082808981106020149986072361631167140706928196628957370899148574552010583015576683143570132588208118875270698194468562084155530125742005288190799482811478749960880689309548788112809615191085127548210920002164059083530548700448518565086501482822923638868231305364424793257262715814300461506573668368645355062562896459370030295134593562629066179057639686933866896393986359118022840898427816447727410272445740235746848658344504930990257973380307623488971250901162599785001287928858811670809711750712084107226640798812146138414591502067367748478528268558413407432878424957910365352085134763519168385506839932354976095218608823955847027166583839725824121699185494381485833673775614583735952959157306589865325505802783036776604641131864979234492166977107889660591132217272792805567085618866589609773449342703526826588464675269232683018834577163542639380922637334655057174783941972483398791310960685731851362305278956486275575693258746773576318800294716530364213111526460724008645152167026029390962586602972871177081699322026474175371904620584453773267491550300769344873239392447870188580665682064479906167884100684553600308439294088761932853502721363442571205358589919795906923432625585670304727008819716956247750785029501104098704827328094400452796270302335529833441439539415845769330500984895623105750130232261230191210387874411176700963868764771485382466194559514191682711071132773646406189165982430850804286212195622163897100356654698760506877283271836115264972900361105732966059012323694021499709661115754961387800524870387842607685439363409324850075121804445741236434264095273863263778472105758382450653933046427244772883644025164102531321805840351571832826745339144833203714389311036143916335646586707427590055063617778753531471944330559152570652681418180425317996907931852879589935535186556325743358460248832905938580563606344909705141692392592893039093078257745744525108392921461124241628160570196602508244865162239774047162822578662200519657730272791874901435332657464515533214023917601660748147632906073132666012028831684842241694126847230983331989766476800620690601295283}
30208  526316124677480138475258001467664755952654310357636469354799338178992466850882428350927: {151015,181218,332167,845516,1147106,1207880,1358865,1417567,1449456,1630638,2052716,2139727,2232506,2680591,2776652,4038626,4119727,4399418,4478791,5187692,5375191,5841146,5886465,5912167,6201218,6278896,6561146,6973197,7063758,8076716,8301425,8409487,8557772,8601585,9175024,9892808,9961710,10321902,10354141,10625824,10774617,11129409,11585018,11599591,11954052,12161612,12481591,12826925,12881516,12947649,13361791,13372418,13601132,13889047,14028585,14591047,14791630,14963824,15392310,16418464,16834302,17749956,18259505,18372921,18470772,18869516,18952447,19225297,19992487,19999016,21130900,21440456,21872525,21911406,22255418,22498893,22929932,23168492,23435097,23440567,23783791,24120513,24126727,25357080,25837087,26247030,26689567,27047552,27061593,27200456,27464710,27577185,27898925,27996832,28526715,28558687,29233761,29415664,30187000,30283665,30428496,30600513,30785516,30924967,31048418,31496436,31514408,32302576,32535118,32957652,33092622,33159116,33478710,33870572,33960375,34191866,34232058,34280887,34447927,35453709,35615191,35710624,35933186,36224400,36340398,36446791,36464649,36628706,37342221,37773607,38163785,38605497,38639360,39235300,39551852,40174452,40260716,40752450,41560136,42149612,43207418,43361167,43469280,43594205,43799865,43800716,44455025,44663791,45274106,45796542,45799807,45856808,45958925,46367232,46478740,46499865,46719856,46755153,46770727,47082360,47577847,47804012,48364418,48704791,48902940,49198785,49599856,49967421,50221184,50418146,51424505,51588909,52162201,52163136,52313046,52478704,52559838,52736492,52967655,53346030,53494591,53811607,53829506,54602887,54850106,55080332,55150710,55774488,55799838,55865191,56273721,56337367,56498832,56853485,56902432,57122887,57888716,58242746,58683528,58827424,59000791,59038542,59312767,59485025,60271418,60609026,60657729,61709406,61798207,61859372,62057633,62232905,62294906,62297313,62746299,63342247,63561186,63835737,64015236,64190732,65644807,65655866,65901785,66018969,66180852,66256087,66281293,66398200,66713791,66751532,66992525,67170847,67262408,67349513,67614477,67681772,67779247,68000926,68224182,68234791,68873721,69336033,70237292,71382030,71555647,73020716,73203007,73995266,74246791,74517430,74642252,74679486,74697975,74989946,74990191,75670209,75994925,76140832,76175887,76644866,76767007,78680191,79082142,79412791,79497452,79677840,79851487,79959116,80199357,80391030,80493425,80601986,80742381,80872591,81890167,81992525,82550657,82816664,83228546,83556218,84989696,85192418,85658436,85748793,85750432,86211247,86925127,87478265,87742221,87779407,87855185,88274494,88454018,88476812,88779386,88904150,89420916,89422413,89480191,89624492,89637570,89903767,90067537,90185791,90404066,91031793,91193910,91311007,91365416,91629118,92025146,92291791,92778153,92996066,93168747,93269047,93342886,94103887,94381591,94611386,94915185,95256506,95279037,95351287,95475425,95613408,96179647,96213590,96340497,96469236,96493772,96545018,96592110,97017441,97144180,97273504,97462833,97781585,98391030,98512591,99199529,...,18148991986720617570982996096453007268178259538204266608571500080235521142243870822658429130382580168114213588895522877318216205747689263811750644906725678846096240095351571816447252259304809677071030042427515832100582219418799884307318066821465330762881060672533686767275941974420810030106542414928658726732521407663994831638864866078721503660590072509692805437191701897991241334771135419779590242546518516726409952402479314954360003207081793308720933609842960172024851290970134604335723462273790560595238795074740979267962801352227182728982925501296992530104882859859875459773300070210482970209122969834614633905086919765629521255832167349908319576546792104791260757103759736332393565740534849187283959314393872732362549715542383663300814502585519366546087845832738586524786268073765573886256552748463830465560614857423848831409686806922126151100724109502801189532027393996869332555125538542665250445202522252377449293181947870303671825328996995425199230418569585635503732651625647633791712517094005661454424029568458664551218218757406192829946483694182673517912278670103463694758059243731300195724404226073321405972225790952372981106121004176616755036222863412946935559724705008712759527268856022372147274949703839918838471263347488158426796792701010034635473826115850058293992417947769557084295517612642653765145852043151085073923325688920630233154716672766183216055352323116962936159360556672707372828193103327433342870035357424660268803692079015481992858903014038221068646993303512277697878816952150335062246767664121740920369784858742925768160029307833793061889368599070912984354989033323009427032427402257535716717635334190838246747005208316533908610026376033930824001310456432343231579953702142722096466681979543654767815499655135896610911381551161250435292999616894949836577511703143980745484018661168627647458340022073308083182077665996929343562365404876871264649219009398078249988642189154875772737419424700536950657203437749346250526414030166252333072351031280746743652266908234837111552068724829443378237973745395234776362335687251350203318078387906709451445669701531822634655149169520706046782645283527869481780935918546477383997293548436724779840455203475169206988837048437172257348200112468409456917689655042848633942393976210039579712672972805808033319790691731262233451048723302789289669274473094708762241144254003793059131667462051743294902591349496122109665127802750860762061759693697488654106082132387927437971228243471106090036924349197658102029521365332026141874263077413197565146343715898768828281273500597693259712098031703024886267856265064434975624851757935415889937897870967839243911257241276360536076280089451110973347928932713589805654703574410522021931301681351377494966904414952794312350282128426777078641474693533314763148841556187609237595505276494532198099402680777354102244191426843450944158500360930925958082778874040167656007050921065977081971666614507585746065050817079486921446836730947893336218745444707398267264691420115335310430564851824308407152566391009683621085733948675431557824860473416750528612493373726846124750172088238743519582578489195191981812157363787864570421930303213696594320314329131544459339907987010631173743497985295001201550133046668383905145082227746282334282778809635521065082861517886122002756490331304704358077884543243837899943880487136113513018025557847342453243139968126958145098607796036222111786301098828932247325841981111565034152778314603945543075453153767341070377382368806188175819972312656222636143852880788176289697057074089447491822119479697932456938035768784619567025643577358446102884723519174563516446206742899711922629977865055081280914309135149740371941981700767591011662364768425067059622040485617482035280965344860202889368039187950115470630494902775599096035298900495872827445938364356655400401025793164319189930493584774220909419306541557178800912738133744585725451682577138003628484590094940478119893061209231243500780893739636011759622608330334380039334805464939769770792533937061693736447373111255252719221127692440667979860830807666840309681640254947183832548235601285158353028647176621592746018922243614761510364861874918887976574467739048282927496218529467142206265014009169711029114820353297200481474310621412016431592028666279548154339948517067366493850456810247252484545766466766829072594321648579018793698484351704629474344509934205244061902993030511525366885470041762407787135429110435660452193110938285852414714858555114195448943236786740084823705004708629259107412203427536908557573900423995877242470506119914046915408434324477946998443874584774084808459879606855589856790524052124104343660992700144523895281498988837547426928803344326486882986365396217096771549600692876973697055833201913776876619354044285365223468880997530177208097510221349371775579789655592169129641311109319688635734160920801727044}
30209  527946704400905451118483924696257842557995056640934516637974794429896654114456830198647: {241624,271827,1056895,1268274,1509850,1720659,1811820,1932608,2174184,2445957,2565895,3079074,3348759,3470815,3652627,4164978,5494034,5643847,6057939,6484615,6599127,7781538,7848620,8028146,8656207,8761719,9297596,9301827,9418344,9623911,9841719,10095895,10201178,10595637,10697215,11468780,11796079,12115074,12275527,12366010,12836658,13093346,13282280,13762536,14366156,14839212,14942565,15202015,15482853,15894847,15938736,16101895,16618711,17001415,17263532,17377527,17499139,17931078,18242418,18704780,18760399,19322274,19560211,20058627,20221927,20401698,20523080,21782018,22187445,22445736,23088465,23115079,23586895,23666608,23800399,24497228,24627696,24998770,25251453,25738706,26173411,26413625,26624934,26800570,27155239,27575107,27706158,28264754,28304274,28662415,28960615,29215208,29476711,29738746,29998524,30223399,30347959,31246796,31696350,31910338,32160684,32491927,32580259,32867109,33383127,33437767,33809440,34000570,34394898,34752738,34996040,35417107,35835271,36076711,36082124,36365119,36732127,36769580,37377679,37580839,37733750,38035620,38304127,38481895,38978348,39117826,39370545,39393010,40124707,40378220,40441759,40571328,40630531,40800684,40879874,41071279,41197065,41448895,41853799,41995248,42009187,42338215,42483799,43399874,43943536,44123496,44638280,45280500,45545839,45642744,45918866,45960211,46178274,46413379,46572627,47244654,47271612,47790938,48299200,48453864,48619532,48802677,49044125,49436478,49439815,49638933,49738674,49789628,49908067,50218065,50325895,50559727,50805858,51287799,51348087,51473996,51666247,51950170,52685839,52687015,53280511,53535079,53565936,53899779,54306874,54336600,54510597,54750895,54943059,54986338,55087651,57321010,57466627,57740791,57959040,58098425,58201039,58399820,58509559,58852950,58854607,59063359,59327778,59755015,60261678,60391074,60870499,61062056,61128675,61608559,61822976,61994431,61999820,62340204,62776480,63224418,64811127,65156194,65192959,65203920,65598380,65701074,65736679,65920615,66623228,67128559,67911159,68627527,68694813,68785212,68850415,69138866,69550848,69718110,69750728,70079784,70623540,70829506,71128040,71665786,71706018,72360895,72443479,72464581,72546627,72707266,72833671,73354410,73534280,74365984,74399784,74816851,75001519,75031628,75331776,75627219,75904634,77324215,77664871,78244704,78469569,78718056,78762211,78839757,79104738,79944739,80019045,80238415,80334578,80583698,80744259,80876972,82275159,82279208,82504154,82620498,82683667,82726065,82997750,83015551,83063084,83210359,83439415,83475619,83661732,83699757,84078010,84559327,84602215,84748248,85114316,85353648,86833074,87364119,87612367,87796615,87802339,88025292,88241136,88557813,88587506,89212387,90152636,90387218,90407127,90597826,90913539,90965576,91169287,91275895,91329559,91831628,92282659,92343847,92403319,92448044,92473447,92564109,92789058,93302815,93442359,93513679,94113319,95054431,95176040,95341779,95974207,96022854,96060259,96286098,97458271,98349058,98483799,98494066,99271278,99371815,99572648,99597300,99661219,99745507,99948895,...,27223487980080926356474494144679510902267389307306399912857250120353281713365806233987643695573870252171320383343284315977324308621533895717625967360088518269144360143027357724670878388957214515606545063641273748150873329128199826460977100232197996144321591008800530150913912961631215045159813622392988090098782111495992247458297299118082255490885108764539208155787552846986862002156703129669385363819777775089614928603718972431540004810622689963081400414764440258037276936455201906503585193410685840892858192612111468901944202028340774093474388251945488795157324289789813189659950105315724455313684454751921950857630379648444281883748251024862479364820188157186891135655639604498590348610802273780925938971590809098543824573313575494951221753878279049819131768749107879787179402110648360829384829122695745698340922286135773247114530210383189226651086164254201784298041090995303998832688307813997875667803783378566173939772921805455507737993495493137798845627854378453255598977438471450687568775641008492181636044352687996826827328136109289244919725541274010276868418005155195542137088865596950293586606339109982108958338686428559471659181506264925132554334295119420403339587057513069139290903284033558220912424555759878257706895021232237640195189051515051953210739173775087440988626921654335626443276418963980647718778064726627610884988533380945349732075009149274824083028484675444404239040835009061059242289654991150014305053036136990403205538118523222989288354521057331602970489955268416546818225428225502593370151496182611380554677288114388652240043961750689592834052898606369476532483549984514140548641103386303575076453001286257370120507812474800862915039564050896236001965684648514847369930553214083144700022969315482151723249482703844916367072326741875652939499425342424754866267554715971118226027991752941471187510033109962124773116498995394015343548107315306896973828514097117374982963283732313659106129137050805425985805156624019375789621045249378499608526546921120115478400362352255667328103087244165067356960618092852164543503530877025304977117581860064177168504552297733951982723754281059070173967925291804222671403877819716075995940322655087169760682805212753810483255572655758386022300168702614185376534482564272950913590964315059369569009459208712049979686037596893350176573084954183934503911709642063143361716381005689588697501193077614942353887024244183164497691704126291143092639540546232981159123198581891156956842365206659135055386523796487153044282047998039212811394616119796347719515573848153242421910250896539889568147047554537329401784397596652463437277636903123834906846806451758865866885861914540804114420134176666460021893399070384708482055361615783032896952522027066242450356622429191468525423192640165617962212040299972144723262334281413856393257914741798297149104021166031153366287140265176416237750541396388937124168311060251484010576381598965622957499921761378619097576225619230382170255096421840004328118167061097400897037130173002965645847277736462610728849586514525431628600923013147336737290710125125792918740060590269187125258132358115279373867733792787972718236045681796855632895454820544891480471493697316689009861980515946760615246977942501802325199570002575857717623341619423501424168214453281597624292276829183004134735496957056537116826814865756849915820730704170269527038336771013679864709952190437217647911694054333167679451648243398370988762971667347551229167471905918314613179730651011605566073553209282263729958468984333954215779321182264434545585611134171237733179219546898685407053653176929350538465366037669154327085278761845274669310114349567883944966797582621921371463702724610557912972551151386517493547152637600589433060728426223052921448017290304334052058781925173205945742354163398644052948350743809241168907546534983100601538689746478784895740377161331364128959812335768201369107200616878588177523865707005442726885142410717179839591813846865251171340609454017639433912495501570059002208197409654656188800905592540604671059666882879078831691538661001969791246211500260464522460382420775748822353401927737529542970764932389119028383365422142265547292812378331964861701608572424391244327794200713309397521013754566543672230529945800722211465932118024647388042999419322231509922775601049740775685215370878726818649700150243608891482472868528190547726527556944211516764901307866092854489545767288050328205062643611680703143665653490678289666407428778622072287832671293173414855180110127235557507062943888661118305141305362836360850635993815863705759179871070373112651486716920497665811877161127212689819410283384785185786078186156515491489050216785842922248483256321140393205016489730324479548094325645157324401039315460545583749802870665314929031066428047835203321496295265812146265332024057663369684483388253694461966663979532953601241381202590566}
30210  529582306475482289500698807830253328013010321485197539557386750002363981850455566636616: {211421,302030,362436,392561,664334,694301,875249,1236929,1691032,1902411,2139869,2200001,2264775,2294212,2415760,2717730,2835134,2898912,2920961,3041009,3221021,3261276,3400961,4105432,4179869,4279454,4465012,4538909,4618611,4897661,5361182,5435249,5553304,5912561,5972189,6247467,6806141,7519709,7876061,8077252,8239454,8241051,8469341,8765681,8798836,8957582,9810775,9889949,10067201,10362461,10375384,10716509,10750382,11129201,11621995,11672307,11682292,11772930,11824334,12042219,12402436,12541169,12557792,13122292,13362689,13597121,13946394,14127516,14335975,14475101,15301767,16050929,16153432,16225661,16602850,16818974,16865729,17098241,17115544,17203170,17736989,17957695,18172611,18350048,18549015,18953729,19011581,19254987,19640019,19785616,19878401,19923420,20166941,20643804,20708282,20916209,21251648,21434141,21549234,21579415,22258818,22295921,22754801,23155901,23170036,23199182,23380975,23785409,23842589,23908104,24128369,24185501,24299741,24323224,24963182,25326461,25563307,25653850,25725041,25763032,25895298,25895741,26577821,26723582,26744836,26896617,27202264,27363627,27542129,27778094,28057170,28277981,28983411,29182094,29463809,29583260,29745629,29927648,30083549,30602547,30621535,30784620,30983261,31656701,32273009,32673027,32836928,33446909,33668604,34450301,34617281,34839809,35499912,35673149,36172289,36519010,36745842,36941544,36947441,37113341,37279169,37498155,37610609,37739032,37904894,38450594,38608059,39058495,39428381,39593201,39937401,39984974,39998032,40200855,41401469,41559237,41729309,41947709,42261800,42397131,42456411,42547649,42711101,42880912,43037789,43690301,43745050,43822812,44395889,44504321,44510836,44608119,44883581,44997786,45102655,45208349,45316541,45859864,45961975,45965021,46126961,46288829,46336984,46774001,46870194,46881134,47473661,47544525,47567582,47634929,47865507,48241026,48253454,48279281,48386561,48722935,49350641,49724861,50472775,50525441,50714160,51000855,51164609,51592347,51674174,51749501,52129107,52494060,52757489,53379134,53429299,53815409,54095104,54123186,54132161,54400912,54606749,54659441,54929420,55154370,55797850,55993664,56393789,56600625,57053430,57117374,57126941,57179249,58467522,58676739,58692701,58831328,59004989,59089515,59316989,59368961,59784449,60095729,60374000,60406721,60567330,60774415,60856992,61031887,61079549,61201026,61319811,61571032,61849934,61957361,62096836,62237035,62729981,62992872,63028816,63346781,63398129,64013681,64342495,64423409,64605152,65070236,65099811,65915304,66185244,66311741,66318232,66566081,66957420,67023389,67175681,67682801,67741144,67920750,67936061,68239709,68383732,68441981,68464116,68561774,68593601,68694641,68878299,68895854,69267411,69358531,69803969,70708721,70866981,70907418,71230382,71260349,71421248,71610881,71686407,71866372,71994307,72448800,72680796,72893582,72929298,72999775,73257412,73258109,73340839,73556669,73854941,74154717,74608011,74684442,74995649,75045149,75547214,75589121,76208787,76327570,76772609,76821821,77210994,77278720,77499775,77804381,77925255,78470600,79103704,79594879,79857341,80149469,80348904,80521432,80587121,80878529,80927069,81460311,81504900,81605789,81997975,82089629,82479507,83120272,83247581,83279035,83632541,84299224,84496829,84928001,85645181,85981515,86414836,86722334,86836481,86938560,87121649,87126067,87188410,87599730,87601432,87643709,87785921,87833309,88279425,88910050,88968221,88991667,89251229,89327582,89486849,89533949,89910461,90239489,90392517,90474269,90548212,90586611,90896369,91593084,91599614,91713616,91917850,91925441,92262499,92734464,92957480,92999730,93439712,93461789,93510306,93541454,93740189,93789535,93879281,94110941,94157249,94164720,94434929,94836627,95155694,95404541,95608024,96094961,96646001,96728836,97409582,97424669,97734291,97805880,98018561,98292209,98397570,98551611,99199712,99474689,99882749,99934842,...,40835231970121389534711741217019266353401083960959599869285875180529922570048709350981465543360805378256980575014926473965986462932300843576438951040132777403716540214541036587006317583435821773409817595461910622226309993692299739691465650348296994216482386513200795226370869442446822567739720433589482135148173167243988371187445948677123383236327663146808812233681329270480293003235054694504078045729666662634422392905578458647310007215934034944622100622146660387055915404682802859755377790116028761339287288918167203352916303042511161140211582377918233192735986434684719784489925157973586682970526682127882926286445569472666422825622376537293719047230282235780336703483459406747885522916203410671388908457386213647815736859970363242426832630817418574728697653123661819680769103165972541244077243684043618547511383429203659870671795315574783839976629246381302676447061636492955998249032461720996813501705675067849260909659382708183261606990243239706698268441781567679883398466157707176031353163461512738272454066529031995240240992204163933867379588311911015415302627007732793313205633298395425440379909508664973163437508029642839207488772259397387698831501442679130605009380586269603708936354926050337331368636833639817386560342531848356460292783577272577929816108760662631161482940382481503439664914628445970971578167097089941416327482800071418024598112513723912236124542727013166606358561252513591588863434482486725021457579554205485604808307177784834483932531781585997404455734932902624820227338142338253890055227244273917070832015932171582978360065942626034389251079347909554214798725324976771210822961655079455362614679501929386055180761718712201294372559346076344354002948526972772271054895829821124717050034453973223227584874224055767374550608490112813479409249138013637132299401332073956677339041987629412206781265049664943187159674748493091023015322160972960345460742771145676062474444925598470488659193705576208138978707734936029063684431567874067749412789820381680173217600543528383500992154630866247601035440927139278246815255296315537957465676372790096265752756828446600927974085631421588605260951887937706334007105816729574113993910483982630754641024207819130715724883358983637579033450253053921278064801723846409426370386446472589054353514188813068074969529056395340025264859627431275901755867564463094715042574571508534383046251789616422413530830536366274746746537556189436714638959310819349471738684797872836735435263547809988702583079785694730729566423071997058819217091924179694521579273360772229863632865376344809834352220571331805994102676596394978695155916455354685752360270209677638298800328792871811206171630201264999690032840098605577062723083042423674549345428783040599363675534933643787202788134788960248426943318060449958217084893501422120784589886872112697445723656031749046730049430710397764624356625812094583405686252466590377226015864572398448434436249882642067928646364338428845573255382644632760006492177250591646101345555695259504448468770916604693916093274379771788147442901384519721005105936065187688689378110090885403780687887198537172919060801600689181959077354068522695283449343182230817337220707240545975033514792970773920140922870466913752703487799355003863786576435012429135252136252321679922396436438415243774506202103245435584805675240222298635274873731096056255404290557505156520519797064928285655826471867541081499751519177472365097556483144457501021326843751207858877471919769595976517408349110329813923395594937703476500931323668981773396651818378416701256856599768829320348028110580479765394025807698049056503731490627918142767912003965171524351825917450196373932882057195554086915836869458826727079776240320728956400884149591092639334579382172025935456501078088172887759808918613531245097966079422526115713861753361319802474650902308034619718177343610565741997046193439718503652302053660800925317882266285798560508164090327713616075769759387720770297876757010914181026459150868743252355088503312296114481984283201358388810907006589500324318618247537307991502954686869317250390696783690573631163623233530102891606294314456147398583678542575048133213398320939218567497947292552412858636586866491691301069964096281520631849815508345794918701083317198898177036971082064499128983347264884163401574611163527823056318090227974550225365413337223709302792285821589791335416317275147351961799139281734318650932075492307593965417521054715498480236017434499611143167933108431749006939760122282770165190853336260594415832991677457711958044254541275953990723795558638769806605559668977230075380746498717815741690819034729115425077177778679117279234773237233575325178764383372724884481710589807524734595486719322141488467735986601558973190818375624704305997972393546599642071752804982244442898718219397998036086495054526725082380541692949995969299430401862071803885849}
30211  531222946280623303686442103478349499917960369840787594694163838693882494336607882356073: {30211,453045,483248,543654,996501,1479653,2113790,2536548,2867765,3019700,3441318,3592253,3623640,3865216,4076595,4252701,4316741,4348368,4859141,4891914,5131790,5581265,6158148,6307829,6419181,6670001,6697518,6941630,7305254,8041773,8329956,9078461,10096565,10287629,10988068,10998545,11287694,11373713,12115878,12359181,12969230,13183853,13198254,13436373,14134253,14507441,14602865,14976101,15503045,15563076,15697240,16056292,16125573,16402865,17312414,17523438,17659395,17736501,17764829,18595192,18603654,18836688,19247822,19683438,20191790,20223269,20402356,20919591,21191274,21282821,21394430,22208021,22542653,22937560,23116613,23592158,23801981,23898641,24230148,24551054,24732020,24904275,25228461,25673316,25804755,26186692,26564560,27525072,28732312,28962545,29678424,29885130,30349973,30404030,30932213,30965706,31062423,31247921,31789694,31877472,32119901,32203790,32323851,33021653,33237422,33388227,33431045,33779093,34002830,34099901,34527064,34755054,34798773,34836113,34998278,35862156,36079109,36484836,36979075,37409560,37444773,37520798,37583333,38306669,38480775,38644548,38842947,39120422,39517361,40085373,40117254,40127381,40172621,40443854,40544861,40803396,41046160,41257553,41667141,41775053,41856581,42085755,42636113,43564036,43773141,43903781,44374890,44891472,45199613,45711761,46176930,46230158,47173790,47333216,47481893,47600798,48994456,49255392,49629953,49647221,49997540,50502906,50904173,51477412,52346822,52689341,52827250,53249868,53601140,53874653,54310478,54316613,54708053,54778515,55118763,55150214,55412316,55638545,56529508,56608548,56857341,56955029,57324830,57675891,57744629,57921230,58028453,58430416,58884173,58953422,58982261,59273501,59477492,59977461,59997048,60446798,60695918,62493592,62544701,63392700,63740753,63820676,64321368,64983854,65160518,65617575,65734218,66269909,66766254,66875534,67133021,67496679,67618880,67965041,68001140,68661775,68789796,68965973,69215741,69505476,69604469,69992080,70305291,70321701,70456253,70834214,71351373,71670542,72153422,72164248,72361539,72380181,72730238,73464254,73539160,73761821,74755358,75161678,75302609,75467500,76071240,76386533,76608254,76651253,76963790,77439581,77511261,77621045,77956696,78235652,78741090,78786020,79080581,79421309,80068701,80249414,80756440,80883518,81142656,81184779,81261062,81337795,81601368,81759748,82142558,82394130,82692941,82731555,82897790,83021069,83657021,83696775,83707598,83990496,84018374,84676430,84967598,85479665,85580145,85676061,86305301,86799748,87701283,87887072,88246992,89276560,89832965,90080321,90561000,90850995,91091678,91285488,91571765,91801539,91837732,91886141,91920422,92288861,92350001,92356548,92409461,92774901,92826758,92999813,93082613,93131621,93145254,94489308,94543224,94775453,95581876,96390581,96598400,96907728,97239064,97303601,97464749,97605354,97717061,98088250,98872956,98879630,99277866,99477348,99579256,99816134,...,54446975960161852712948988289359021804534778614612799825714500240706563426731612467975287391147740504342640766686568631954648617243067791435251934720177036538288720286054715449341756777914429031213090127282547496301746658256399652921954200464395992288643182017601060301827825923262430090319627244785976180197564222991984494916594598236164510981770217529078416311575105693973724004313406259338770727639555550179229857207437944863080009621245379926162800829528880516074553872910403813007170386821371681785716385224222937803888404056681548186948776503890977590314648579579626379319900210631448910627368909503843901715260759296888563767496502049724958729640376314373782271311279208997180697221604547561851877943181618197087649146627150989902443507756558099638263537498215759574358804221296721658769658245391491396681844572271546494229060420766378453302172328508403568596082181990607997665376615627995751335607566757132347879545843610911015475986990986275597691255708756906511197954876942901375137551282016984363272088705375993653654656272218578489839451082548020553736836010310391084274177731193900587173212678219964217916677372857118943318363012529850265108668590238840806679174115026138278581806568067116441824849111519756515413790042464475280390378103030103906421478347550174881977253843308671252886552837927961295437556129453255221769977066761890699464150018298549648166056969350888808478081670018122118484579309982300028610106072273980806411076237046445978576709042114663205940979910536833093636450856451005186740302992365222761109354576228777304480087923501379185668105797212738953064967099969028281097282206772607150152906002572514740241015624949601725830079128101792472003931369297029694739861106428166289400045938630964303446498965407689832734144653483751305878998850684849509732535109431942236452055983505882942375020066219924249546232997990788030687096214630613793947657028194234749965926567464627318212258274101610851971610313248038751579242090498756999217053093842240230956800724704511334656206174488330134713921236185704329087007061754050609954235163720128354337009104595467903965447508562118140347935850583608445342807755639432151991880645310174339521365610425507620966511145311516772044600337405228370753068965128545901827181928630118739138018918417424099959372075193786700353146169908367869007823419284126286723432762011379177395002386155229884707774048488366328995383408252582286185279081092465962318246397163782313913684730413318270110773047592974306088564095996078425622789232239592695439031147696306484843820501793079779136294095109074658803568795193304926874555273806247669813693612903517731733771723829081608228840268353332920043786798140769416964110723231566065793905044054132484900713244858382937050846385280331235924424080599944289446524668562827712786515829483596594298208042332062306732574280530352832475501082792777874248336622120502968021152763197931245914999843522757238195152451238460764340510192843680008656236334122194801794074260346005931291694555472925221457699173029050863257201846026294673474581420250251585837480121180538374250516264716230558747735467585575945436472091363593711265790909641089782960942987394633378019723961031893521230493955885003604650399140005151715435246683238847002848336428906563195248584553658366008269470993914113074233653629731513699831641461408340539054076673542027359729419904380874435295823388108666335358903296486796741977525943334695102458334943811836629226359461302023211132147106418564527459916937968667908431558642364528869091171222268342475466358439093797370814107306353858701076930732075338308654170557523690549338620228699135767889933595165243842742927405449221115825945102302773034987094305275201178866121456852446105842896034580608668104117563850346411891484708326797288105896701487618482337815093069966201203077379492957569791480754322662728257919624671536402738214401233757176355047731414010885453770284821434359679183627693730502342681218908035278867824991003140118004416394819309312377601811185081209342119333765758157663383077322003939582492423000520929044920764841551497644706803855475059085941529864778238056766730844284531094585624756663929723403217144848782488655588401426618795042027509133087344461059891601444422931864236049294776085998838644463019845551202099481551370430741757453637299400300487217782964945737056381095453055113888423033529802615732185708979091534576100656410125287223361406287331306981356579332814857557244144575665342586346829710360220254471115014125887777322236610282610725672721701271987631727411518359742140746225302973433840995331623754322254425379638820566769570371572156372313030982978100433571685844496966512642280786410032979460648959096188651290314648802078630921091167499605741330629858062132856095670406642992590531624292530664048115326739368966776507388923933327959065907202482762405181132}
30212  532868639242561864882856343525146752043046903003668106234920156770312380457906257574898: {422842,604060,724872,785122,815481,935611,1297267,1328668,1388602,1750498,2200147,2380507,2473858,3101227,3170685,3281227,3382064,3774625,3804822,4279738,4400002,4529550,4588424,4831520,5161977,5435460,5670268,5797824,5841922,5972587,6082018,6442042,6522552,6687547,6801922,6866107,7337871,7697685,8210864,8359738,8558908,8930024,9077818,9237222,9795322,9890611,10046277,10412445,10422187,10722364,10870498,10957881,11106608,11306707,11825122,11944378,12189427,12494934,13612282,13735085,15039418,15752122,16052011,16154504,16270793,16478908,16482102,16925011,16931541,16938682,17531362,17597672,17796211,17915164,18144187,18173817,18665611,19012867,19453845,19621550,19779898,19797381,20070365,20134402,20724922,20750768,21433018,21500764,21780547,22258402,22641667,23243990,23344614,23364584,23545860,23648668,23844211,24084438,24187147,24358507,24804872,25082338,25115584,25140773,25502945,25968621,26244584,26285157,26725378,27194242,27892788,27905481,28255032,28671950,28871733,28950202,28958011,29525157,29804011,30141907,30211181,30287685,30310747,30603534,30915025,31786911,32091645,32101858,32306864,32451322,32733365,33205700,33505027,33637948,33731458,34196482,34231088,34406340,35388237,35473978,35915390,36345222,36700096,36826581,37005307,37098030,37337011,37668427,37907458,38023162,38509974,39280038,39571232,39756802,39846840,40309387,40333882,40966747,41287608,41416564,41786827,41832418,41950627,42503296,42605107,42768547,42868282,42870149,43098468,43158830,44236267,44398987,44517636,44591842,44827695,45509602,45606045,46022227,46311802,46340072,46346011,46398364,46448559,46761950,47476987,47570818,47684541,47685178,47816208,48256738,48305685,48371002,48443587,48599482,48646448,49856133,49926364,50652922,50688907,51004245,51126614,51168211,51307700,51450082,51526064,51790596,51791482,52132581,52497417,52761211,53155642,53447164,53489672,53793234,54404528,54455045,54663307,54681893,54727254,55084258,55556188,56114340,56240467,56281197,56555962,56712211,57183307,57966822,58364188,58680633,58748947,58927618,59166520,59373187,59491258,59840611,59855296,60151867,60167098,60175881,60618211,60665781,61205094,61243070,61569240,61966522,62496925,62940211,63143717,63313402,63402667,64018267,64346765,64479211,64546018,65346054,65673856,66469147,66562335,66893818,67001425,67337208,68212109,68598547,68900602,69234562,69265395,69345237,69679618,69809011,70261747,70661885,70760685,70999824,71346298,71401197,72344578,73038020,73491684,73562011,73860307,73883088,73894882,74226682,74346865,74558338,74996310,75050611,75221218,75478064,75754359,75809788,76827427,76901188,77216118,78006211,78116990,78520233,78856762,79186402,79240875,79775845,79874802,79969948,79996064,80401710,80495827,80933011,81465717,81660211,81969173,82725321,82802938,83118474,83458618,83895418,84263227,84523600,84551011,84794262,84912822,85001425,85084181,85095298,85422202,85699267,85761824,85985611,85987245,86075578,86675537,86881845,87131849,87380602,87490100,87645624,87697627,87839827,88430133,88791778,89008642,89021672,89216238,89257867,89540611,89767162,89995572,90079493,90205310,90416698,90527947,90633082,90670197,90950011,91043877,91719728,91923950,91930042,92253922,92577658,92673968,93468787,93548002,93740388,93747211,93762268,94164307,94334375,94947322,95089050,95135011,95135164,95269858,95731014,96482052,96506908,96558562,96773122,97445870,97475781,97477747,97740777,97794565,98482525,98601327,98701282,98846107,99449722,...,81670463940242779069423482434038532706802167921919199738571750361059845140097418701962931086721610756513961150029852947931972925864601687152877902080265554807433080429082073174012635166871643546819635190923821244452619987384599479382931300696593988432964773026401590452741738884893645135479440867178964270296346334487976742374891897354246766472655326293617624467362658540960586006470109389008156091459333325268844785811156917294620014431868069889244201244293320774111830809365605719510755580232057522678574577836334406705832606085022322280423164755836466385471972869369439568979850315947173365941053364255765852572891138945332845651244753074587438094460564471560673406966918813495771045832406821342777816914772427295631473719940726484853665261634837149457395306247323639361538206331945082488154487368087237095022766858407319741343590631149567679953258492762605352894123272985911996498064923441993627003411350135698521819318765416366523213980486479413396536883563135359766796932315414352062706326923025476544908133058063990480481984408327867734759176623822030830605254015465586626411266596790850880759819017329946326875016059285678414977544518794775397663002885358261210018761172539207417872709852100674662737273667279634773120685063696712920585567154545155859632217521325262322965880764963006879329829256891941943156334194179882832654965600142836049196225027447824472249085454026333212717122505027183177726868964973450042915159108410971209616614355569668967865063563171994808911469865805249640454676284676507780110454488547834141664031864343165956720131885252068778502158695819108429597450649953542421645923310158910725229359003858772110361523437424402588745118692152688708005897053945544542109791659642249434100068907946446455169748448111534749101216980225626958818498276027274264598802664147913354678083975258824413562530099329886374319349496986182046030644321945920690921485542291352124948889851196940977318387411152416277957415469872058127368863135748135498825579640763360346435201087056767001984309261732495202070881854278556493630510592631075914931352745580192531505513656893201855948171262843177210521903775875412668014211633459148227987820967965261509282048415638261431449766717967275158066900506107842556129603447692818852740772892945178108707028377626136149939058112790680050529719254862551803511735128926189430085149143017068766092503579232844827061661072732549493493075112378873429277918621638698943477369595745673470870527095619977405166159571389461459132846143994117638434183848359389043158546721544459727265730752689619668704441142663611988205353192789957390311832910709371504720540419355276597600657585743622412343260402529999380065680197211154125446166084847349098690857566081198727351069867287574405576269577920496853886636120899916434169787002844241569179773744225394891447312063498093460098861420795529248713251624189166811372504933180754452031729144796896868872499765284135857292728676857691146510765289265520012984354501183292202691111390519008896937541833209387832186548759543576294885802769039442010211872130375377378756220181770807561375774397074345838121603201378363918154708137045390566898686364461634674441414481091950067029585941547840281845740933827505406975598710007727573152870024858270504272504643359844792872876830487549012404206490871169611350480444597270549747462192112510808581115010313041039594129856571311652943735082162999503038354944730195112966288915002042653687502415717754943839539191953034816698220659627846791189875406953001862647337963546793303636756833402513713199537658640696056221160959530788051615396098113007462981255836285535824007930343048703651834900392747865764114391108173831673738917653454159552480641457912801768299182185278669158764344051870913002156176345775519617837227062490195932158845052231427723506722639604949301804616069239436354687221131483994092386879437007304604107321601850635764532571597121016328180655427232151539518775441540595753514021828362052918301737486504710177006624592228963968566402716777621814013179000648637236495074615983005909373738634500781393567381147262327246467060205783212588628912294797167357085150096266426796641878437134995894585104825717273173732983382602139928192563041263699631016691589837402166634397796354073942164128998257966694529768326803149222327055646112636180455949100450730826674447418605584571643179582670832634550294703923598278563468637301864150984615187930835042109430996960472034868999222286335866216863498013879520244565540330381706672521188831665983354915423916088509082551907981447591117277539613211119337954460150761492997435631483381638069458230850154355557358234558469546474467150650357528766745449768963421179615049469190973438644282976935471973203117946381636751249408611995944787093199284143505609964488885797436438795996072172990109053450164761083385899991938598860803724143607771698}
30213  534519400834493775351143948905295549961833176441244609842695204036684580127561346733767: {60422,634263,755075,906090,966496,1087308,1177683,1660835,1993002,2082903,2625747,2959306,3710787,4014871,4227580,5073096,5101603,5707233,5735530,6039400,6419607,6600003,6794325,6882636,7087835,7184506,7247280,7454707,7730432,7813771,8153190,8505402,8633482,8696736,8762883,9123027,9663063,9718282,9783828,10202883,10263580,10698635,11162530,12158107,12316296,12539607,12615658,12838362,13340002,13395036,13402955,13602611,13616727,13855833,13883260,14135191,14610508,14692983,15397963,16083546,16305747,16659912,17737683,17916567,18156922,18742401,20117387,20193130,20418423,20444011,20575258,20598635,21704263,21976136,21997090,22393955,22559127,22575388,22747426,22964011,23628183,23900227,24231756,24718362,24723153,25408023,25938460,26245843,26297043,26367706,26396508,26872746,26875955,27498647,28268506,29014882,29205730,29432325,29480627,29560835,29669847,29952202,30201603,30227411,31006090,31087383,31126152,31394480,32112584,32149527,32251146,32805730,33387603,34624828,34865985,34924147,35016921,35046876,35318790,35473002,35529658,36126657,36737003,37190384,37207308,37400627,37623507,37673376,37959883,38495644,39366876,40088067,40175287,40299883,40383580,40446538,40547563,40791363,40804712,41076731,41260291,41507125,41839182,42047435,42382548,42489443,42565642,42638947,42788860,43007925,43332311,43425303,44416042,45085306,45875120,45905301,46233226,46803463,47184316,47603962,47797282,47941603,48152787,48460296,48676983,49102108,49184327,49464040,49808550,50456922,50597187,51294723,51346632,51609510,51770705,52373384,53129120,53210967,53873085,54517833,54731891,55050144,55468771,55647045,56861187,57034743,57145187,57464624,57764961,57925090,57997955,58888087,58920057,59356848,59635203,59770260,60500823,60699946,60808060,61864426,61931412,62002667,62124846,62407955,62495842,62748627,63053111,63579388,63754944,64134625,64239802,64302423,64407580,64647702,64738245,65448587,66043306,66474844,66532871,66776454,66808955,66862090,66887763,67558186,68005660,68136667,68199802,68264403,69054128,69445235,69467703,69510108,69597546,69672226,69896747,69996556,70007411,70142925,71356227,71527767,71724312,72158218,72385107,72556503,72843347,72899223,72955235,72969672,73722247,73958150,74640211,74819120,74889546,75011483,75041596,75166666,75979383,76109051,76613338,76689921,76961550,77175123,77289096,77685894,77687223,77893963,78240844,78975907,79034722,79733463,80170746,80234508,80254762,80345242,80689851,80887708,81089722,81308203,81606792,82090881,82092320,82259827,82515106,82626387,83334282,83550106,83713162,84171510,84833943,85252331,85272226,86726743,86950233,87128072,87546282,87807562,87973531,88391427,88749780,89236887,89782944,90250647,90399226,90567767,91297525,91423522,91807641,91864605,92353860,92460316,92485811,92949783,93861547,94347580,94474483,94666432,94762235,94963786,94970103,95201596,96126485,96819027,97988912,98019081,98510784,98542667,99259906,99294442,99962435,99995080,...,122505695910364168604135223651057799060203251882878799607857625541589767710146128052944396630082416134770941725044779421897959388796902530729316853120398332211149620643623109761018952750307465320229452786385731866678929981076899219074396951044890982649447159539602385679112608327340467703219161300768446405444519501731965113562337846031370149708982989440426436701043987811440879009705164083512234137188999987903267178716735375941930021647802104833866301866439981161167746214048408579266133370348086284017861866754501610058748909127533483420634747133754699578207959304054159353469775473920760048911580046383648778859336708417999268476867129611881157141690846707341010110450378220243656568748610232014166725372158640943447210579911089727280497892452255724186092959370985459042307309497917623732231731052130855642534150287610979612015385946724351519929887739143908029341184909478867994747097385162990440505117025203547782728978148124549784820970729719120094805325344703039650195398473121528094059490384538214817362199587095985720722976612491801602138764935733046245907881023198379939616899895186276321139728525994919490312524088928517622466316778192163096494504328037391815028141758808811126809064778151011994105910500919452159681027595545069380878350731817733789448326281987893484448821147444510318994743885337912914734501291269824248982448400214254073794337541171736708373628181039499819075683757540774766590303447460175064372738662616456814424921533354503451797595344757992213367204798707874460682014427014761670165681732821751212496047796514748935080197827878103167753238043728662644396175974930313632468884965238366087844038505788158165542285156136603883117678038229033062008845580918316813164687489463374151150103361919669682754622672167302123651825470338440438227747414040911396898203996221870032017125962888236620343795148994829561479024245479273069045966482918881036382228313437028187423334776795411465977581116728624416936123204808087191053294703622203248238369461145040519652801630585150502976463892598742803106322781417834740445765888946613872397029118370288797258270485339802783922256894264765815782855663813119002021317450188722341981731451947892263923072623457392147174650076950912737100350759161763834194405171539228279111159339417767163060542566439204224908587169186020075794578882293827705267602693389284145127723714525603149138755368849267240592491609098824240239612668568310143916877932458048415216054393618510206305790643429966107749239357084192188699269215991176457651275772539083564737820082316689590898596129034429503056661713995417982308029789184936085467749366064057257080810629032914896400986378615433618514890603794999070098520295816731188169249127271023648036286349121798091026604800931361608364404366880745280829954181349874651254680504266362353769660616338092337170968095247140190148292131193293873069877436283750217058757399771131678047593717195345303308749647926203785939093015286536719766147933898280019476531751774938304036667085778513345406312749814081748279823139315364442328704153559163015317808195563066068134330272656211342063661595611518757182404802067545877232062205568085850348029546692452011662121721637925100544378912321760422768611400741258110463398065011591359729305037287405756408756965039767189309315245731323518606309736306754417025720666895905824621193288168766212871672515469561559391194784856967479415602623244499254557532417095292669449433372503063980531253623576632415759308787929552225047330989441770186784813110429502793971006945320189955455135250103770569799306487961044084331741439296182077423094147169511194471883754428303736011895514573055477752350589121798646171586662260747510608376480181239328720962186869202652448773277918003738146516077806369503234264518663279426755840593735293898238267578347141585260083959407423952706924103859154532030831697225991138580319155510956906160982402775953646798857395681524492270983140848227309278163162310893630271032742543079377452606229757065265509936888343445952849604075166432721019768500972955854742611923974508864060607951751172090351071720893490869700590308674818882943368442195751035627725144399640194962817655702493841877657238575909760599475073903209892288844561895549446525037384756103249951596694531110913246193497386950041794652490204723833490583469168954270683923650676096240011671127908376857464769374006248951825442055885397417845202955952796226476922781896252563164146495440708052303498833429503799325295247020819280366848310495572560008781783247498975032373135874132763623827861972171386675916309419816679006931690226142239496153447225072457104187346275231533336037351837704319711700725975536293150118174653445131769422574203786460157966424465403207959804676919572455126874112917993917180639798926215258414946733328696154658193994108259485163580175247141625078849987907898291205586215411657547}
30214  536175246576719404725011201052841889754893185841711385565870920689272257766802805943252: {90633,332233,513349,845684,1208120,1359135,1449744,1570244,1598533,1630962,1871222,2594534,2657336,2777204,2989503,3041413,3500996,4400294,4438959,4761014,4947716,5017849,5284475,6202454,6341370,6562454,6764128,7549250,7609644,8559476,8603295,8766853,8800004,9059100,9176848,9663040,10323954,10363849,10776759,10870920,11340536,11595648,11683844,11945174,12164036,12229785,12758103,12829475,12884084,12950223,13045104,13375094,13603844,13716133,13732214,14577423,14593993,14675742,15395370,16421728,16719476,16743795,17117816,17354075,17860048,18155636,18263135,18474444,18923487,18956293,19129849,19229119,19257543,19590644,19781222,19996549,20010003,20092554,20169673,20824890,20844374,21444728,21740996,21915762,22213216,22413733,22613414,23650244,23888756,24125319,24303049,24378854,24989868,25842373,26013049,26695033,27224564,27235383,27470170,28098511,28219235,28394953,28734073,29580613,30078836,30289695,30862887,30931333,31504244,31773193,32104022,32309008,32423075,32541586,32957816,32964204,32995635,33451513,33850022,33863082,33877364,34121139,34287973,34455049,34622053,35062724,35195344,35592422,35704123,35830328,36288374,36347634,37077543,37331222,38025734,38907690,39243100,39551559,39559796,39594762,40140730,40170911,40268804,40309119,41449844,41501536,42402759,42866036,43001528,43281035,43370233,43522323,43561094,43808595,44510533,44516804,44928303,44998153,45283334,45322873,45826711,45971449,46487980,46509135,46689228,46729168,47091720,47297336,47587849,47688422,48119555,48168876,48374294,48376719,48393349,48717014,49036453,49208595,49609744,50164676,50231168,50281546,50479475,51005890,51437833,51937242,52489168,52570314,52978185,53209503,53294487,53450756,53486075,53981449,54388484,54614473,55785576,55810962,56506633,56510064,57343900,57743466,57900404,57916022,58075513,58980395,59050314,59608022,60283814,60422362,60575370,60621494,60669807,61207068,61377635,61830050,61966213,62758773,63355849,63509893,63573822,63848463,64125349,64183290,64203716,64613728,64902644,65466730,66411400,66624063,67010054,67033033,67275896,67337593,67462916,67627959,67793893,67945849,68392964,68462176,68704549,68812680,69349839,70776474,70947956,71405943,71695923,71830780,72620773,72690444,73368313,73400192,73653162,73965049,74010614,74196060,74674022,74712825,75336854,75685383,75814916,76010075,76046324,76192549,76237063,77019948,77414265,78560076,79142464,79474235,79513604,79693680,80509475,80618774,80667764,81933494,82198393,82575216,82833128,83093555,83573654,83664836,83901254,83960327,84940549,85006592,85007075,85210214,85537094,85736564,85740298,86196936,86317660,86516233,86887635,86944453,87495695,88472534,88797974,89035272,89183684,89358793,89655390,90085471,91019204,91049919,91212090,91471813,92044454,92623604,92680144,92692022,92796639,92796728,92897118,93187269,93289993,93523900,93743763,93801995,94125049,94263973,94953974,95141636,95369082,95370356,95372773,95632416,95907251,96201349,96339193,96359703,96513476,96611370,96742004,96872659,96887174,96971553,97198964,97292896,97801055,98124613,98926639,99064959,99712266,99852728,...,163340927880485558138846964868077065413604335843838399477143500722119690280194837403925862173443221513027922300059705895863945851729203374305755804160531109614866160858164146348025270333743287093639270381847642488905239974769198958765862601393187976865929546052803180905483477769787290270958881734357928540592692668975953484749783794708493532945310652587235248934725317081921172012940218778016312182918666650537689571622313834589240028863736139778488402488586641548223661618731211439021511160464115045357149155672668813411665212170044644560846329511672932770943945738738879137959700631894346731882106728511531705145782277890665691302489506149174876188921128943121346813933837626991542091664813642685555633829544854591262947439881452969707330523269674298914790612494647278723076412663890164976308974736174474190045533716814639482687181262299135359906516985525210705788246545971823992996129846883987254006822700271397043638637530832733046427960972958826793073767126270719533593864630828704125412653846050953089816266116127980960963968816655735469518353247644061661210508030931173252822533193581701761519638034659892653750032118571356829955089037589550795326005770716522420037522345078414835745419704201349325474547334559269546241370127393425841171134309090311719264435042650524645931761529926013758659658513783883886312668388359765665309931200285672098392450054895648944498170908052666425434245010054366355453737929946900085830318216821942419233228711139337935730127126343989617822939731610499280909352569353015560220908977095668283328063728686331913440263770504137557004317391638216859194901299907084843291846620317821450458718007717544220723046874848805177490237384305377416011794107891089084219583319284498868200137815892892910339496896223069498202433960451253917636996552054548529197605328295826709356167950517648827125060198659772748638698993972364092061288643891841381842971084582704249897779702393881954636774822304832555914830939744116254737726271496270997651159281526720692870402174113534003968618523464990404141763708557112987261021185262151829862705491160385063011027313786403711896342525686354421043807551750825336028423266918296455975641935930523018564096831276522862899533435934550316133801012215685112259206895385637705481545785890356217414056755252272299878116225581360101059438509725103607023470257852378860170298286034137532185007158465689654123322145465098986986150224757746858555837243277397886954739191491346941741054191239954810332319142778922918265692287988235276868367696718778086317093443088919454531461505379239337408882285327223976410706385579914780623665821418743009441080838710553195201315171487244824686520805059998760131360394422308250892332169694698197381715132162397454702139734575148811152539155840993707773272241799832868339574005688483138359547488450789782894624126996186920197722841591058497426503248378333622745009866361508904063458289593793737744999530568271714585457353715382293021530578531040025968709002366584405382222781038017793875083666418775664373097519087152589771605538078884020423744260750754757512440363541615122751548794148691676243206402756727836309416274090781133797372728923269348882828962183900134059171883095680563691481867655010813951197420015455146305740049716541008545009286719689585745753660975098024808412981742339222700960889194541099494924384225021617162230020626082079188259713142623305887470164325999006076709889460390225932577830004085307375004831435509887679078383906069633396441319255693582379750813906003725294675927093586607273513666805027426399075317281392112442321919061576103230792196226014925962511672571071648015860686097407303669800785495731528228782216347663347477835306908319104961282915825603536598364370557338317528688103741826004312352691551039235674454124980391864317690104462855447013445279209898603609232138478872709374442262967988184773758874014609208214643203701271529065143194242032656361310854464303079037550883081191507028043656724105836603474973009420354013249184457927937132805433555243628026358001297274472990149231966011818747477269001562787134762294524654492934120411566425177257824589594334714170300192532853593283756874269991789170209651434546347465966765204279856385126082527399262033383179674804333268795592708147884328257996515933389059536653606298444654111292225272360911898200901461653348894837211169143286359165341665269100589407847196557126937274603728301969230375861670084218861993920944069737998444572671732433726996027759040489131080660763413345042377663331966709830847832177018165103815962895182234555079226422238675908920301522985994871262966763276138916461700308711114716469116939092948934301300715057533490899537926842359230098938381946877288565953870943946406235892763273502498817223991889574186398568287011219928977771594872877591992144345980218106900329522166771799983877197721607448287215543396}
30215  537836192036786254011682033903229454553673989087191133283233756059638715313857251648325: {120844,1057105,1268526,1510150,1812180,1932992,1962805,2174616,2325169,2355366,2446443,2806833,3321670,3471505,3891801,3986004,4165806,4376245,5251494,5644969,5918612,6184645,6600441,7141521,7421574,7635793,8029742,8455160,8722309,9303681,9512055,9843681,9922969,10146192,10203206,10699345,11000005,11323875,11414466,11471060,12078800,12839214,13200006,13588650,13765272,14175670,14266153,14369012,14494560,14604805,14873317,14909414,14978089,15205045,15460864,15485931,15627542,15959401,16075813,16105105,16306380,17004805,17010804,17266964,17393472,17525766,17917761,18246054,18764137,18971269,19326126,19436564,19567656,20062641,20405766,20527160,20598321,20899345,21397270,21504793,22013613,22210969,22325060,22694545,23093055,23533873,24316214,24488305,24632592,25079214,25231316,25676724,26680004,26790072,26805910,27176245,27205222,27233454,27711666,27766520,28270382,28838089,29221016,29385966,29562805,29671833,29860945,30138831,30229417,30795926,31237335,31252069,31266561,31351537,32167092,32498401,32611494,32873643,33319824,33444433,33783577,33920121,34030705,34840741,35424169,35475366,35833134,36313844,36568281,36739441,37403113,37484802,37598545,37626337,39380305,40234774,40386260,40449817,40836846,40888022,40890481,41079457,41150516,41197270,41205255,41385169,42346705,43408526,43828405,43909609,43952272,43994180,44200741,44787910,45118254,45150776,45494852,45554917,45717829,45928022,46314421,47256366,47488201,47800454,48156033,48463512,48812379,49053875,49436724,49446306,49449745,50336005,50569801,50653573,50775033,50794623,50816046,51210913,51676549,51812305,51876920,51891169,52491686,52594086,52735412,52793016,53388633,53582545,53745492,53751910,54432561,54521451,54715321,54735529,54997294,55646005,55754917,55996833,56537012,57038601,57478081,58029764,58109975,58361535,58411460,58521217,58864650,58866409,58961254,59121670,59339694,59392143,59904404,60211095,60403206,60454822,61170937,61620841,62012180,62174766,62252304,62705845,62788960,63057313,63713353,63749221,64225168,64299054,64502292,64923289,65341641,65611460,65749777,66278713,66775206,66813445,67535221,67925001,67985605,68641201,69249656,69731970,69848294,69901393,70033842,70093752,70637580,70946004,71029417,71059316,71280841,71532633,71679875,72253314,72375505,72457921,72478987,72561441,73075521,73474006,74380768,74414616,74517313,74801254,75247014,75312613,75346752,75422319,75919766,76396681,76508835,76991288,77130649,77680357,77905863,78243577,78733752,78855471,80176134,80254645,80350574,80599766,80767160,80893076,81095126,81128305,81197137,81582726,81609424,82153462,82520582,83014250,83492257,83678364,83716443,84094870,84328645,84576181,84640357,84660169,84765096,84978886,85063057,85131284,85277894,85491205,85577720,86015850,86615199,86664622,86850606,86874033,87371137,87629833,88575471,88684945,88832084,89412033,89788475,90170612,90425721,90633543,90863055,90932241,91187569,91750240,91810602,92466452,92745075,93144073,93532537,93606926,94132081,94368632,94768645,95057905,95207924,95282017,95360733,95594564,95883206,96274935,96305574,96920592,97223329,97353966,98200095,98204216,98368654,98928080,99083077,99392005,99617100,...,245011391820728337208270447302115598120406503765757599215715251083179535420292256105888793260164832269541883450089558843795918777593805061458633706240796664422299241287246219522037905500614930640458905572771463733357859962153798438148793902089781965298894319079204771358225216654680935406438322601536892810889039003463930227124675692062740299417965978880852873402087975622881758019410328167024468274377999975806534357433470751883860043295604209667732603732879962322335492428096817158532266740696172568035723733509003220117497818255066966841269494267509399156415918608108318706939550947841520097823160092767297557718673416835998536953734259223762314283381693414682020220900756440487313137497220464028333450744317281886894421159822179454560995784904511448372185918741970918084614618995835247464463462104261711285068300575221959224030771893448703039859775478287816058682369818957735989494194770325980881010234050407095565457956296249099569641941459438240189610650689406079300390796946243056188118980769076429634724399174191971441445953224983603204277529871466092491815762046396759879233799790372552642279457051989838980625048177857035244932633556384326192989008656074783630056283517617622253618129556302023988211821001838904319362055191090138761756701463635467578896652563975786968897642294889020637989487770675825829469002582539648497964896800428508147588675082343473416747256362078999638151367515081549533180606894920350128745477325232913628849843066709006903595190689515984426734409597415748921364028854029523340331363465643502424992095593029497870160395655756206335506476087457325288792351949860627264937769930476732175688077011576316331084570312273207766235356076458066124017691161836633626329374978926748302300206723839339365509245344334604247303650940676880876455494828081822793796407992443740064034251925776473240687590297989659122958048490958546138091932965837762072764456626874056374846669553590822931955162233457248833872246409616174382106589407244406496476738922290081039305603261170301005952927785197485606212645562835669480891531777893227744794058236740577594516540970679605567844513788529531631565711327626238004042634900377444683963462903895784527846145246914784294349300153901825474200701518323527668388810343078456558222318678835534326121085132878408449817174338372040151589157764587655410535205386778568290255447429051206298277510737698534481184983218197648480479225337136620287833755864916096830432108787237020412611581286859932215498478714168384377398538431982352915302551545078167129475640164633379181797192258068859006113323427990835964616059578369872170935498732128114514161621258065829792801972757230867237029781207589998140197040591633462376338498254542047296072572698243596182053209601862723216728808733761490561659908362699749302509361008532724707539321232676184674341936190494280380296584262386587746139754872567500434117514799542263356095187434390690606617499295852407571878186030573073439532295867796560038953063503549876608073334171557026690812625499628163496559646278630728884657408307118326030635616391126132136268660545312422684127323191223037514364809604135091754464124411136171700696059093384904023324243443275850201088757824643520845537222801482516220926796130023182719458610074574811512817513930079534378618630491462647037212619472613508834051441333791811649242386576337532425743345030939123118782389569713934958831205246488998509115064834190585338898866745006127961062507247153264831518617575859104450094661978883540373569626220859005587942013890640379910910270500207541139598612975922088168663482878592364154846188294339022388943767508856607472023791029146110955504701178243597292343173324521495021216752960362478657441924373738405304897546555836007476293032155612739006468529037326558853511681187470587796476535156694283170520167918814847905413848207718309064061663394451982277160638311021913812321964805551907293597714791363048984541966281696454618556326324621787260542065485086158754905212459514130531019873776686891905699208150332865442039537001945911709485223847949017728121215903502344180702143441786981739401180617349637765886736884391502071255450288799280389925635311404987683755314477151819521198950147806419784577689123791098893050074769512206499903193389062221826492386994773900083589304980409447666981166938337908541367847301352192480023342255816753714929538748012497903650884111770794835690405911905592452953845563792505126328292990881416104606997666859007598650590494041638560733696620991145120017563566494997950064746271748265527247655723944342773351832618839633358013863380452284478992306894450144914208374692550463066672074703675408639423401451951072586300236349306890263538845148407572920315932848930806415919609353839144910253748225835987834361279597852430516829893466657392309316387988216518970327160350494283250157699975815796582411172430823315094}
30216  539502252829631948554857904413526300975816281225412033445986250115382116968072742546849: {151055,181266,392639,573743,664466,875423,1026698,1417943,1691368,1902789,2265225,2380823,2416240,2501039,2718270,2899488,2921543,3101639,3140488,3197066,3221663,3261924,3401639,3533049,3742444,3821303,4719263,4982505,5189068,5314672,5554408,5979006,6082826,6248709,6807503,6986039,7001992,7398265,7699463,7877241,8055743,8800588,8877918,9522028,9895432,10035698,10069223,10423583,10541639,10568950,11132361,11308223,11426039,11838143,12044613,12404908,12682740,13124908,13528256,13599863,13775639,14338825,14828783,15098500,15219288,15304809,16228943,17118952,17121699,17206590,17392223,17533706,17600008,17961265,18118200,18262583,18353696,19015439,19131143,19258821,19326080,19800009,20382975,20647908,20727698,21263505,21553518,21583705,21611039,21741840,21898439,22364121,22681072,22759439,23160623,23191296,23367688,23441313,23890348,24295705,24304703,24328072,24361823,24459570,25046639,25516206,25568389,25658950,25730303,25768168,25900446,25901039,26090208,26288649,26750188,26923943,27207623,27207688,27369081,27432266,27464428,27717743,27906325,28989189,29154846,29187986,29351484,29469863,30596183,30608649,30790740,30989639,31158143,31539145,31663223,31831439,32095905,32843456,33350005,33438952,33487590,33509639,34235632,34624439,34708150,35720096,35847023,36311272,36474321,36526270,36948888,37121039,37286903,37618821,37784063,37846974,37912586,38259698,38458238,38515086,39181288,39506929,39562444,39601439,39993098,40020006,40185108,40208865,40314983,40339346,40589063,40807833,40850181,40972439,41081903,41567499,41649780,41688748,42405573,42720023,42883439,42889456,43481992,43831524,44078949,44426432,44513639,44676263,44827466,44892983,45226828,45392305,45704543,46028663,46136639,46193889,46298543,46783823,47300488,47322263,47474713,47591183,47644943,47777512,48250638,48450383,48606098,48757708,48917241,49093439,49895639,49979736,50482825,50536103,50696039,50802623,51438145,51684746,51760439,52026098,52927583,53213049,53390066,53749701,53985263,54449128,54470766,54671039,54940340,54992725,56091023,56197022,56227203,56353343,56438470,56789906,56868565,57468146,57818639,59161226,59797223,60157672,60352161,60579390,60593449,61255269,61332033,61725774,61795905,61862666,63008488,63411743,63514439,63546386,64129943,64208044,64618016,64846150,65051039,65083172,65112789,65915632,65919265,65928408,65991270,66478703,66580439,66732983,66903026,67181865,67190183,67342439,67367377,67677381,67697423,67700044,67726164,67754728,68242278,68456783,68575946,68608439,68709503,68892033,68910098,69244106,70125448,70372439,70390688,70671265,70884549,71184844,71408246,71660656,71700681,72537205,72576748,72626039,72695268,73014325,73721903,73970423,74020103,74155086,74169459,74466863,74662444,74880505,75012023,75951383,76051468,76224069,76493903,77232143,77515225,77815380,78486200,78703223,78737529,78891129,78898823,79103118,79119592,79189524,79631183,80167103,80281460,80341822,80537608,80604863,80618238,80627865,80750639,82014325,82107743,82495941,82542623,82572553,82899688,83003072,83795303,84275663,84805518,85732072,85928689,86003056,86562070,86740466,87044646,87122188,87141023,87617190,87805463,88296975,88441881,88682505,88824145,89009541,89021066,89033608,89129639,89365439,89856606,89996306,90566668,90604809,90645746,90682233,91653422,91942898,91946039,92505863,92975960,93018270,93262149,93378456,93458336,93482783,93900383,94178423,94183440,94271039,94594672,94594943,95175698,95376844,95426039,96239110,96337752,96448581,96748588,96753438,96786698,96805439,97172063,97434028,97583903,98072906,98417190,98542343,98724503,99219488,99225841,99633383,99905423,...,367517087731092505812405670953173397180609755648636398823572876624769303130438384158833189890247248404312825175134338265693878166390707592187950559361194996633448861930869329283056858250922395960688358359157195600036789943230697657223190853134672947948341478618807157037337824982021403109657483902305339216333558505195895340687013538094110449126948968321279310103131963434322637029115492250536702411566999963709801536150206127825790064943406314501598905599319943483503238642145225737798400111044258852053585600263504830176246727382600450261904241401264098734623877912162478060409326421762280146734740139150946336578010125253997805430601388835643471425072540122023030331351134660730969706245830696042500176116475922830341631739733269181841493677356767172558278878112956377126921928493752871196695193156392566927602450862832938836046157840173054559789663217431724088023554728436603984241292155488971321515351075610643348186934444373649354462912189157360284415976034109118950586195419364584282178471153614644452086598761287957162168929837475404806416294807199138737723643069595139818850699685558828963419185577984758470937572266785552867398950334576489289483512984112175445084425276426433380427194334453035982317731502758356479043082786635208142635052195453201368344978845963680453346463442333530956984231656013738744203503873809472746947345200642762221383012623515210125120884543118499457227051272622324299770910342380525193118215987849370443274764600063510355392786034273976640101614396123623382046043281044285010497045198465253637488143389544246805240593483634309503259714131185987933188527924790940897406654895715098263532115517364474496626855468409811649353034114687099186026536742754950439494062468390122453450310085759009048263868016501906370955476411015321314683242242122734190694611988665610096051377888664709861031385446984488684437072736437819207137899448756643109146684940311084562270004330386234397932743350185873250808369614424261573159884110866609744715108383435121558958404891755451508929391677796228409318968344253504221337297666839841617191087355110866391774811456019408351766770682794297447348566991439357006063952350566167025945194355843676791769217870372176441523950230852738211301052277485291502583215514617684837333478018253301489181627699317612674725761507558060227383736646881483115802808080167852435383171143576809447416266106547801721777474827296472720718838005704930431750633797374145245648163180855530618917371930289898323247718071252576566097807647973529372953827317617250694213460246950068772695788387103288509169985141986253946924089367554808256403248098192171771242431887098744689202959135846300855544671811384997210295560887450193564507747381813070944108859047365394273079814402794084825093213100642235842489862544049623953764041512799087061308981849014277011512904285741420570444876393579881619209632308851250651176272199313395034142781151586035909926248943778611357817279045859610159298443801694840058429595255324814912110001257335540036218938249442245244839469417946093326986112460677489045953424586689198204402990817968634026190984786834556271547214406202637631696186616704257551044088640077356034986365164913775301633136736965281268305834202223774331390194195034774079187915111862217269226270895119301567927945737193970555818929208920263251077162000687717473863579864506298638615017546408684678173584354570902438246807869733497763672597251285878008348300117509191941593760870729897247277926363788656675141992968325310560354439331288508381913020835960569866365405750311311709397919463883132252995224317888546232269282441508533583415651263284911208035686543719166433257051767365395938514759986782242531825129440543717986162886560607607957346319833754011214439548233419108509702793555989838280267521781205881694714802735041424755780251878222271858120772311577463596092495091677973415740957466532870718482947208327860940396572187044573476812949422544681927834489486932680890813098227629238132357818689271195796529810665030337858548812225499298163059305502918867564227835771923526592181823855253516271053215162680472609101770926024456648830105326587253106883175433198920584888452967107481525632971715727729281798425221709629676866533685686648339575112154268309749854790083593332739738580492160850125383957470614171500471750407506862812051770952028288720035013383725130572394308122018746855476326167656192253535608867858388679430768345688757689492439486322124156910496500288511397975885741062457841100544931486717680026345349742496925097119407622398290871483585916514160027748928259450037020795070678426718488460341675217371312562038825694600008112055513112959135102177926608879450354523960335395308267722611359380473899273396209623879414030758717365380622338753981751541919396778645775244840199986088463974581982324778455490740525741424875236549963723694873616758646234972641}
30217  541173444617727661242804814995089133500129183236435165774631289790117263921183742729201: {241688,271899,996699,1479947,1540047,2114210,2537052,2747927,3020300,3624360,3865984,3925610,4077405,4349232,4650338,4678055,4710732,4795599,4860107,4892886,5613666,6126743,6309083,6486335,6643340,6671327,6943010,7783602,7972008,8331612,8658503,8752490,8968509,9024119,9124239,9748463,10502988,11000735,11289938,11837224,11902535,12278783,12369290,13200882,13316877,14283042,14843148,14979083,15053547,15271586,15400007,15506135,15853425,15899063,16059484,16406135,16623119,16859999,16910320,17444618,18607362,18873125,19024110,19687362,19845938,20292384,20406412,20446727,21203183,21287063,21398690,22000010,22212443,22547147,22647750,22828932,22942120,23806727,24157600,24196799,25678428,25809885,26249327,26300559,26400012,27177300,27530544,27812759,28351340,28532306,28738024,28989120,29209610,29259083,29746634,29818828,29862935,29956178,30410090,30921728,30971862,31091547,31254143,31255084,31772363,31918802,32126303,32151626,32210210,32330277,32612760,33437735,33785819,34009610,34021608,34106699,34283627,34321487,34330535,34533928,34786944,34928783,35051532,35835522,36086303,36492108,36689355,37528274,37942538,38046743,38274309,38488425,38652252,38850669,38873128,39135312,39525239,40125282,40811532,41054320,41148399,41196642,41387927,41798690,41805323,41864927,42276599,42794540,43009586,43732269,43781979,43912523,44027226,44203679,44421938,44650120,45208619,45389090,45720863,46186110,47067746,47642987,47947967,48632428,48976610,49265184,49453055,49508519,49639847,50158428,50231385,50462632,50914319,51353448,52062225,52110935,52401287,52637963,52699847,53124479,53360008,53580144,53611820,54352490,54410444,54466908,54789405,55132427,55423332,55533040,55758623,56533535,56540764,56770461,56868879,57389547,57676178,57687357,57756143,57772629,58442032,58771932,59125610,59285387,59343666,59721890,59989647,60030009,60277662,60458834,60509019,60947135,61175003,61325927,61359767,61591852,62314319,62474670,62504138,62533122,62557163,62703074,63717599,64334184,64996802,65222988,65747286,66639648,66888866,67146407,67241199,67567154,67840242,67978583,68061410,68145719,68675425,68979719,69229643,69681482,70470407,70848338,70950732,71285579,71666268,72375957,72537227,72561323,72627688,72909147,73136562,73478882,73548299,74522279,74650127,74806226,74969604,75015563,75197090,75252674,75297599,77455019,77527119,77904407,78039147,78760610,78986399,79096343,79385819,80085099,80260055,80469548,80772520,80899634,81353965,81673692,81706149,81776044,81780962,82158914,82301032,82394540,82410510,82709423,82770338,83037623,84295533,84625055,84645983,84657705,84693410,85184859,86202219,86204843,86322503,86817052,87656810,87788183,87819218,87904544,87988360,88401482,88741839,88981055,89575820,90098279,90236508,90301552,90477623,90720935,90869085,90989704,91109834,91435658,91856044,91904459,92427887,92588661,92628842,92793999,93328055,93538823,94512732,94794347,94976402,95064335,95179847,95319579,95600908,96312066,96927024,97269225,97322999,97484183,97624758,98107750,98873448,98892612,98899490,98986905,99089663,...,490022783641456674416540894604231196240813007531515198431430502166359070840584512211777586520329664539083766900179117687591837555187610122917267412481593328844598482574492439044075811001229861280917811145542927466715719924307596876297587804179563930597788638158409542716450433309361870812876645203073785621778078006927860454249351384125480598835931957761705746804175951245763516038820656334048936548755999951613068714866941503767720086591208419335465207465759924644670984856193634317064533481392345136071447467018006440234995636510133933682538988535018798312831837216216637413879101895683040195646320185534595115437346833671997073907468518447524628566763386829364040441801512880974626274994440928056666901488634563773788842319644358909121991569809022896744371837483941836169229237991670494928926924208523422570136601150443918448061543786897406079719550956575632117364739637915471978988389540651961762020468100814191130915912592498199139283882918876480379221301378812158600781593892486112376237961538152859269448798348383942882891906449967206408555059742932184983631524092793519758467599580745105284558914103979677961250096355714070489865267112768652385978017312149567260112567035235244507236259112604047976423642003677808638724110382180277523513402927270935157793305127951573937795284589778041275978975541351651658938005165079296995929793600857016295177350164686946833494512724157999276302735030163099066361213789840700257490954650465827257699686133418013807190381379031968853468819194831497842728057708059046680662726931287004849984191186058995740320791311512412671012952174914650577584703899721254529875539860953464351376154023152632662169140624546415532470712152916132248035382323673267252658749957853496604600413447678678731018490688669208494607301881353761752910989656163645587592815984887480128068503851552946481375180595979318245916096981917092276183865931675524145528913253748112749693339107181645863910324466914497667744492819232348764213178814488812992953477844580162078611206522340602011905855570394971212425291125671338961783063555786455489588116473481155189033081941359211135689027577059063263131422655252476008085269800754889367926925807791569055692290493829568588698600307803650948401403036647055336777620686156913116444637357671068652242170265756816899634348676744080303178315529175310821070410773557136580510894858102412596555021475397068962369966436395296960958450674273240575667511729832193660864217574474040825223162573719864430996957428336768754797076863964705830605103090156334258951280329266758363594384516137718012226646855981671929232119156739744341870997464256229028323242516131659585603945514461734474059562415179996280394081183266924752676996509084094592145145396487192364106419203725446433457617467522981123319816725399498605018722017065449415078642465352369348683872380988560760593168524773175492279509745135000868235029599084526712190374868781381213234998591704815143756372061146146879064591735593120077906127007099753216146668343114053381625250999256326993119292557261457769314816614236652061271232782252264272537321090624845368254646382446075028729619208270183508928248822272343401392118186769808046648486886551700402177515649287041691074445602965032441853592260046365438917220149149623025635027860159068757237260982925294074425238945227017668102882667583623298484773152675064851486690061878246237564779139427869917662410492977997018230129668381170677797733490012255922125014494306529663037235151718208900189323957767080747139252441718011175884027781280759821820541000415082279197225951844176337326965757184728309692376588678044777887535017713214944047582058292221911009402356487194584686346649042990042433505920724957314883848747476810609795093111672014952586064311225478012937058074653117707023362374941175592953070313388566341040335837629695810827696415436618128123326788903964554321276622043827624643929611103814587195429582726097969083932563392909237112652649243574521084130970172317509810424919028261062039747553373783811398416300665730884079074003891823418970447695898035456242431807004688361404286883573963478802361234699275531773473768783004142510900577598560779851270622809975367510628954303639042397900295612839569155378247582197786100149539024412999806386778124443652984773989547800167178609960818895333962333876675817082735694602704384960046684511633507429859077496024995807301768223541589671380811823811184905907691127585010252656585981762832209213995333718015197301180988083277121467393241982290240035127132989995900129492543496531054495311447888685546703665237679266716027726760904568957984613788900289828416749385100926133344149407350817278846802903902145172600472698613780527077690296815145840631865697861612831839218707678289820507496451671975668722559195704861033659786933314784618632775976433037940654320700988566500315399951631593164822344861646630188}
30218  542849783111221967248564625991102910094826409641912126088318387632998485070661521317541: {211477,302110,362532,785278,935797,1116697,1147486,1328932,1750846,2053396,2380981,2835886,3171315,3281881,3382736,3775375,3805578,3821557,4530450,4761646,4832480,5002078,5436540,5798976,5843086,5888415,6203278,6280976,6394132,6443326,6523848,6803278,6867481,6975507,7066098,7339329,7484888,7642606,8115637,8304175,8420499,9438526,9965010,10069897,10357571,10378136,10414515,10629344,10955317,11108816,11675403,11958012,12165652,12497418,13128735,13600777,13615006,13972078,14003984,14796530,15398926,15754482,16111486,16230037,16934907,17102857,17601176,17755836,17973877,18321781,18553935,18669397,19044056,19790864,19801323,20071396,20074355,20138446,20403157,20847166,21083278,21137900,21424563,22264722,22616446,22852078,22907379,23676286,24089226,24363481,24809816,25145771,25365480,25508015,26166927,26249816,26585077,27056512,27199726,27551278,27911043,28285717,28536165,28677650,29133337,29471881,29531043,29657566,29768907,30197000,30217187,30316981,30438576,30609618,30654517,31665397,32098035,32457886,32505817,33000015,33971625,34013987,34237904,34243398,34413180,34784446,34849417,35067412,35200016,35439175,35922530,36236400,36525166,36707392,37273535,37344757,37510537,38030878,38262286,38517642,38652160,39068855,39600018,39823897,40765950,41139481,41295816,41455396,41631637,41959381,42527010,42777481,42798459,43107036,43167410,43222078,43483680,43796878,43814415,43919797,44154803,44408281,44619951,44728242,44934267,45362144,45518878,45615135,45707737,46321246,46355737,46382592,46457793,46517557,46690007,46735376,46882626,47648281,47780696,47878203,48227439,48315315,48591410,48609406,48656144,48723646,48919140,49578457,50093278,50859481,51014415,51032412,51136778,51317900,51460606,51536336,51800892,51802078,51976597,52180416,52577298,52931317,53493175,53500376,53753283,53847886,54415246,54415376,54738162,54864532,54928856,55435486,55812650,56106479,56292411,56409781,56881417,56913807,57978378,58309692,58375972,58702968,58939726,59853397,60009097,60187923,60631177,60790535,61192366,61217298,61581480,61794963,61979278,62181337,62316286,62698035,62953717,63078290,63326446,63549227,63662878,64191810,64514379,65686912,66025237,66040839,66632907,66700010,66877904,66975180,67014775,67019278,68013055,68083635,68461717,68471264,69248878,69279165,69416300,69824137,70601619,70675955,71440192,71694046,72013403,72622544,72948642,73052540,73464915,73727257,73897776,74025481,74242078,74573806,75066997,75237642,75568126,75693948,75825172,76519396,76548757,76916476,76989815,77030172,78023317,78170377,78362576,79013858,79124888,79202878,79615991,79986196,80040012,80370216,80417730,80629966,80678692,81178126,81528735,81615666,81700362,81944878,82163806,83134998,83299560,83377496,84281881,84811146,85440046,85766878,85778912,86147797,86514267,86963984,87663048,87859381,88143637,88157898,88688415,88852864,89015499,89027278,89352526,89582835,89654932,89785966,90416493,90453656,90688251,90784610,91409086,92057326,92273278,92286971,92387778,92597086,93567646,93712005,93756207,93799683,93907417,94054611,94600976,94644526,94949426,95156437,95182366,95289886,95555024,96501276,96900766,97212196,97495203,97515416,97834482,98186878,98620929,98939771,99004981,99686281,99791278,99959472,...,735034175462185011624811341906346794361219511297272797647145753249538606260876768317666379780494496808625650350268676531387756332781415184375901118722389993266897723861738658566113716501844791921376716718314391200073579886461395314446381706269345895896682957237614314074675649964042806219314967804610678432667117010391790681374027076188220898253897936642558620206263926868645274058230984501073404823133999927419603072300412255651580129886812629003197811198639886967006477284290451475596800222088517704107171200527009660352493454765200900523808482802528197469247755824324956120818652843524560293469480278301892673156020250507995610861202777671286942850145080244046060662702269321461939412491661392085000352232951845660683263479466538363682987354713534345116557756225912754253843856987505742393390386312785133855204901725665877672092315680346109119579326434863448176047109456873207968482584310977942643030702151221286696373868888747298708925824378314720568831952068218237901172390838729168564356942307229288904173197522575914324337859674950809612832589614398277475447286139190279637701399371117657926838371155969516941875144533571105734797900669152978578967025968224350890168850552852866760854388668906071964635463005516712958086165573270416285270104390906402736689957691927360906692926884667061913968463312027477488407007747618945493894690401285524442766025247030420250241769086236998914454102545244648599541820684761050386236431975698740886549529200127020710785572068547953280203228792247246764092086562088570020994090396930507274976286779088493610481186967268619006519428262371975866377055849581881794813309791430196527064231034728948993253710936819623298706068229374198372053073485509900878988124936780244906900620171518018096527736033003812741910952822030642629366484484245468381389223977331220192102755777329419722062770893968977368874145472875638414275798897513286218293369880622169124540008660772468795865486700371746501616739228848523146319768221733219489430216766870243117916809783510903017858783355592456818637936688507008442674595333679683234382174710221732783549622912038816703533541365588594894697133982878714012127904701132334051890388711687353583538435740744352883047900461705476422602104554970583005166431029235369674666956036506602978363255398635225349451523015116120454767473293762966231605616160335704870766342287153618894832532213095603443554949654592945441437676011409860863501267594748290491296326361711061237834743860579796646495436142505153132195615295947058745907654635234501388426920493900137545391576774206577018339970283972507893848178735109616512806496196384343542484863774197489378405918271692601711089343622769994420591121774900387129015494763626141888217718094730788546159628805588169650186426201284471684979725088099247907528083025598174122617963698028554023025808571482841140889752787159763238419264617702501302352544398626790068285562303172071819852497887557222715634558091719220318596887603389680116859190510649629824220002514671080072437876498884490489678938835892186653972224921354978091906849173378396408805981635937268052381969573669112543094428812405275263392373233408515102088177280154712069972730329827550603266273473930562536611668404447548662780388390069548158375830223724434538452541790238603135855891474387941111637858417840526502154324001375434947727159729012597277230035092817369356347168709141804876493615739466995527345194502571756016696600235018383883187521741459794494555852727577313350283985936650621120708878662577016763826041671921139732730811500622623418795838927766264505990448635777092464538564883017067166831302526569822416071373087438332866514103534730791877029519973564485063650258881087435972325773121215215914692639667508022428879096466838217019405587111979676560535043562411763389429605470082849511560503756444543716241544623154927192184990183355946831481914933065741436965894416655721880793144374089146953625898845089363855668978973865361781626196455258476264715637378542391593059621330060675717097624450998596326118611005837735128455671543847053184363647710507032542106430325360945218203541852048913297660210653174506213766350866397841169776905934214963051265943431455458563596850443419259353733067371373296679150224308536619499709580167186665479477160984321700250767914941228343000943500815013725624103541904056577440070026767450261144788616244037493710952652335312384507071217735716777358861536691377515378984878972644248313820993000577022795951771482124915682201089862973435360052690699484993850194238815244796581742967171833028320055497856518900074041590141356853436976920683350434742625124077651389200016224111026225918270204355853217758900709047920670790616535445222718760947798546792419247758828061517434730761244677507963503083838793557291550489680399972176927949163964649556910981481051482849750473099927447389747233517292469945282}
30219  544531284068085131593115143444622478069478025119617105504205173628323605258531242098797: {453165,483376,543798,1177917,1661165,1721229,1993398,2566745,2626269,2959894,3080094,3653837,4228420,4253829,5074104,5495854,5708367,6040600,6549277,6795675,7142469,7248720,7456189,7503117,7731968,7851220,7992665,8154810,8698464,8764629,9080869,9300676,9304917,9356110,9421464,9591198,9664989,9720214,9785772,10204917,10599147,10895341,11227332,11463909,12253486,12618166,12972670,13286680,13342654,13886020,14157789,14511289,14947515,15207065,15401029,15567204,15593237,15944016,16663224,16663549,17317006,17504980,17769541,17937018,18048238,18248478,18746127,19496926,20422509,20958117,21005976,21022217,21708589,22001470,22194795,22579876,22968589,23098389,23536997,23631723,23674448,23805070,24167229,24557566,24738580,25089245,25365401,26251069,26401764,26422375,26633754,28566084,28596217,29486501,29686296,29958166,30107094,30207669,30543172,30800014,31012270,31270749,31624917,31706850,31798126,32118968,32812270,33246238,33397083,33719998,33820640,33924669,34278117,34889236,34931101,35514429,36133839,37214724,37746250,37967449,38048220,38359309,39374724,39691876,40307917,40584768,40799589,40812824,40893454,40895909,41326917,41808109,42406366,42497909,42574126,42647449,42797380,43016475,43834265,44000020,44424886,44486349,45094294,45295500,45316997,45560969,45657864,45884240,45914427,46320569,46812829,47613454,47951149,48062749,48315200,48393598,48686829,49266701,50660297,51356856,51365097,51619770,51819245,52176669,52498654,52601118,52800024,53883795,54354600,54787749,55061088,55479829,55625518,55715917,56702680,57046317,57064612,57393429,57476048,57485717,57776463,57800969,57978240,58419220,58518166,58899829,59127101,59400027,59493268,59637656,59725870,59912356,60820180,61148925,61843456,61943724,62015021,62183094,62318461,62508286,62510168,63544726,63790515,63837604,64147375,64252606,64303252,64420420,64660554,64751115,64833117,65033837,65225520,65695317,66875470,66968117,67092363,67571638,68019220,68043216,68213398,68278317,68567254,68580665,68642974,68661070,69067856,69234277,69481869,69573888,69857566,70103064,70323939,71671044,72172606,72857861,72887115,72914109,72955309,72969965,72984216,73085469,73378710,73736941,74049029,75026429,75056548,75139917,75302617,75885076,76093486,76548618,76705167,76976850,77190909,77304504,77701338,77703117,77746256,78270624,78865947,79050478,79146949,80250564,80771829,81324409,81622869,81623064,82107243,82108640,82296798,82393284,82775854,83153229,83503349,83597380,83610646,83718975,83729854,84553198,84587417,85325989,85589080,86019172,86744029,86770375,86920717,86967567,87464538,87563958,87825046,87991069,88054452,88130681,88315289,88407358,88409589,88843876,89300240,90417238,90483637,90778180,91315675,91441726,91788549,91825947,92372220,92504357,92968917,93474429,94135492,94493317,94617435,94715909,94781465,94989669,95285974,95494317,95649245,95895934,96145595,96287715,97264856,97445717,97953220,98530368,98906110,99017038,99279694,99982745,...,1102551263193277517437217012859520191541829266945909196470718629874307909391315152476499569670741745212938475525403014797081634499172122776563851678083584989900346585792607987849170574752767187882065075077471586800110369829692092971669572559404018843845024435856421471112013474946064209328972451706916017649000675515587686022061040614282331347380846904963837930309395890302967911087346476751610107234700999891129404608450618383477370194830218943504796716797959830450509715926435677213395200333132776556160756800790514490528740182147801350785712724203792296203871633736487434181227979265286840440204220417452839009734030375761993416291804166506930414275217620366069090994053403982192909118737492088127500528349427768491024895219199807545524481032070301517674836634338869131380765785481258613590085579469177700782807352588498816508138473520519163679368989652295172264070664185309811952723876466466913964546053226831930044560803333120948063388736567472080853247928102327356851758586258093752846535413460843933356259796283863871486506789512426214419248884421597416213170929208785419456552099056676486890257556733954275412812716800356658602196851003729467868450538952336526335253275829279300141281583003359107946953194508275069437129248359905624427905156586359604105034936537891041360039390327000592870952694968041216232610511621428418240842035601928286664149037870545630375362653629355498371681153817866972899312731027141575579354647963548111329824293800190531066178358102821929920304843188370870146138129843132855031491135595395760912464430168632740415721780450902928509779142393557963799565583774372822692219964687145294790596346552093423489880566405229434948059102344061297558079610228264851318482187405170367360350930257277027144791604049505719112866429233045963944049726726368202572083835965996830288154133665994129583094156340953466053311218209313457621413698346269929327440054820933253686810012991158703193798230050557619752425108843272784719479652332599829234145325150305364676875214675266354526788175033388685227956905032760512664011893000519524851573262065332599175324434368058225055300312048382892342045700974318071018191857051698501077835583067531030375307653611116529324571850692558214633903156832455874507749646543853054512000434054759904467544883097952838024177284522674180682151209940644449347408424240503557306149513430730428342248798319643405165332424481889418162156514017114791295251901392122435736944489542566591856752115790869694969743154213757729698293422943920588118861481952851752082640380740850206318087365161309865527509955425958761840772268102664424769209744294576515313727295661296234067608877407538902566634015434154991630886682662350580693523242145439212832326577142096182819239443208382254475279639301926707527469587632148871861292124538397261183926945547042831034538712857224261711334629180739644857628896926553751953528816597940185102428343454758107729778746831335834073451837137578830477895331405084520175288785765974444736330003772006620108656814748326735734518408253838279980958337382032467137860273760067594613208972453905902078572954360503668814641643218607912895088559850112772653132265920232068104959095494741325904899410210895843804917502606671322994170582585104322237563745335586651807678812685357904703783837211581911667456787626760789753231486002063152421590739593518895915845052639226054034520753063712707314740423609200493291017791753857634025044900352527575824781282612189691741833779091365970025425978904975931681063317993865525145739062507881709599096217250933935128193758391649396758985672953665638696807847324525600750246953789854733624107059631157499299771155302096187815544279960346727595475388321631153958488659681822823872038959501262033643318644700257325529108380667969514840802565343617645084144408205124274267340755634666815574362316934732390788277485275033920247222872399598612155448841624983582821189716561133720430438848267634045783503468460798042672439294682887714397073456067813587389589431995091013575646436676497894489177916508756602692683507315770579776545471565760548813159645488041417827305312778073369946490315979761759320649526299596761754665358901322444576898915147183187845395275665128889030599601057059945018725336462804929249564370250779998219215741476482550376151872411842514501415251222520588436155312856084866160105040151175391717182924366056240566428978502968576760606826603575166038292305037066273068477318458966372470731489500865534193927657223187373523301634794460153040079036049227490775291358222867194872614450757749542480083246784778350111062385212035280155465381025025652113937686116477083800024336166539338877405306533779826638351063571881006185924803167834078141421697820188628871638242092276152096141867016261945254625758190335937325734520599958265391923745946974335366472221577224274625709649891171084620850275938704917923}
30220  546217963294253830826142130052902810231262847825611832751287561098286240006368724732395: {422954,513451,604220,694531,725064,815697,1570556,1779499,1871594,2233394,2294972,2501371,2657864,2990097,3042019,3222091,3501692,3941659,4106792,4439841,4480579,4620141,4761962,5198131,5285525,5671772,5735539,6342630,6563762,6765472,7550750,7611156,7643114,8243781,8768611,9060900,9523292,9664960,9814025,10004156,10365931,10543051,10873080,11427571,11597952,11625845,11686172,11776830,11957419,12232215,12406556,12561952,12788264,12839059,12886652,13047696,13606556,13718899,13734962,13894651,13951014,14034165,14132196,14245939,14386797,14580321,14678658,14947651,14969776,15285212,16231274,16522291,16608350,16840998,17357525,17394571,18380229,18877052,18927249,19133731,19307251,19459005,19930020,20013981,20139794,20173771,20715142,20756272,20829030,21211219,21258688,21881225,21910634,22217632,23350806,23450131,23793499,23916024,24136579,24331304,24994836,25164091,25847659,25975509,26018371,26257470,26905527,27072357,27201554,27230012,27372717,27944156,28007968,28104097,28224845,28570411,29245389,29586691,29593060,29755819,30797852,30923225,31508964,31779739,31947931,32222972,32460074,33002205,33869814,34205714,34462171,34629211,35202352,35511672,35707605,35711221,35947754,36461899,36643562,36836349,37107870,37338794,38088112,38120419,38178965,39277099,39581728,39602646,39950631,40142792,40148710,40178897,40276892,40806314,41087611,41694332,42166556,42275800,42849126,43611545,43705531,44529444,44682499,44937249,45007579,45160641,45232892,45704156,45814758,45819019,46143091,46200021,46518405,47352572,47560275,47697189,48178452,48726962,49046779,49218405,49614845,49619632,49869357,50291542,50579997,50730960,50809771,51016030,51448699,52182949,52333854,52499632,53040979,53170154,53496725,53834419,54113024,54151291,54399452,54626059,54696397,55000025,55102556,55822086,56571434,56619375,57072330,57355300,57461059,58244419,58266674,58943762,59062086,59315132,59338099,59537814,60394000,60434374,60633962,60877152,61219236,61309034,61340181,62082317,62597971,63330794,63369451,63523531,63609549,63861189,64196070,64915772,65011634,66000030,66307657,66590011,66637329,67047499,67199851,67641441,67808539,67943250,67960531,68027974,68475808,68486796,68719411,68826360,69568892,69698834,70080859,70134824,70400032,70878350,71330765,71420181,71845060,72037099,72472800,72590397,73024025,73050332,73414784,74130211,74366585,74547070,74576899,74689514,74890445,75021074,75319939,76025225,76061756,76505059,76524572,77035284,77304320,77429655,78137710,78747981,78901677,79200036,79647794,79797005,80178859,80379065,80525525,81531900,82216531,82278962,82591632,82651339,82910792,83263274,83438277,83918762,85024025,85054020,85106749,85554962,85596918,86214072,86334820,86444156,86535451,86678299,86967360,87593756,87628830,87777249,87839594,88309606,88812379,88816562,89239902,89456484,89520139,89588805,89868534,90226099,90507979,90724288,91037756,91230270,91351891,91415474,92612899,92642492,92711474,92765184,92915586,93035114,93274641,93310939,93380014,93470752,93762429,93765252,93820685,94146211,94285171,94424059,94856345,95218277,95296562,95317089,95561392,95670811,95756406,96360931,96378909,96454878,96630630,96990831,97182820,97186699,97218812,97312288,97447292,97838280,98557219,98946337,99156914,99512299,...,1470068350924370023249622683812693588722439022594545595294291506499077212521753536635332759560988993617251300700537353062775512665562830368751802237444779986533795447723477317132227433003689583842753433436628782400147159772922790628892763412538691791793365914475228628149351299928085612438629935609221356865334234020783581362748054152376441796507795873285117240412527853737290548116461969002146809646267999854839206144600824511303160259773625258006395622397279773934012954568580902951193600444177035408214342401054019320704986909530401801047616965605056394938495511648649912241637305687049120586938960556603785346312040501015991221722405555342573885700290160488092121325404538642923878824983322784170000704465903691321366526958933076727365974709427068690233115512451825508507687713975011484786780772625570267710409803451331755344184631360692218239158652869726896352094218913746415936965168621955885286061404302442573392747737777494597417851648756629441137663904136436475802344781677458337128713884614458577808346395045151828648675719349901619225665179228796554950894572278380559275402798742235315853676742311939033883750289067142211469595801338305957157934051936448701780337701105705733521708777337812143929270926011033425916172331146540832570540208781812805473379915383854721813385853769334123827936926624054954976814015495237890987789380802571048885532050494060840500483538172473997828908205090489297199083641369522100772472863951397481773099058400254041421571144137095906560406457584494493528184173124177140041988180793861014549952573558176987220962373934537238013038856524743951732754111699163763589626619582860393054128462069457897986507421873639246597412136458748396744106146971019801757976249873560489813801240343036036193055472066007625483821905644061285258732968968490936762778447954662440384205511554658839444125541787937954737748290945751276828551597795026572436586739761244338249080017321544937591730973400743493003233478457697046292639536443466438978860433533740486235833619567021806035717566711184913637275873377014016885349190667359366468764349420443465567099245824077633407067082731177189789394267965757428024255809402264668103780777423374707167076871481488705766095800923410952845204209109941166010332862058470739349333912073013205956726510797270450698903046030232240909534946587525932463211232320671409741532684574307237789665064426191206887109899309185890882875352022819721727002535189496580982592652723422122475669487721159593292990872285010306264391230591894117491815309270469002776853840987800275090783153548413154036679940567945015787696357470219233025612992392768687084969727548394978756811836543385203422178687245539988841182243549800774258030989527252283776435436189461577092319257611176339300372852402568943369959450176198495815056166051196348245235927396057108046051617142965682281779505574319526476838529235405002604705088797253580136571124606344143639704995775114445431269116183438440637193775206779360233718381021299259648440005029342160144875752997768980979357877671784373307944449842709956183813698346756792817611963271874536104763939147338225086188857624810550526784746466817030204176354560309424139945460659655101206532546947861125073223336808895097325560776780139096316751660447448869076905083580477206271711782948775882223275716835681053004308648002750869895454319458025194554460070185634738712694337418283609752987231478933991054690389005143512033393200470036767766375043482919588989111705455154626700567971873301242241417757325154033527652083343842279465461623001245246837591677855532529011980897271554184929077129766034134333662605053139644832142746174876665733028207069461583754059039947128970127300517762174871944651546242430431829385279335016044857758192933676434038811174223959353121070087124823526778859210940165699023121007512889087432483089246309854384369980366711893662963829866131482873931788833311443761586288748178293907251797690178727711337957947730723563252392910516952529431274757084783186119242660121351434195248901997192652237222011675470256911343087694106368727295421014065084212860650721890436407083704097826595320421306349012427532701732795682339553811868429926102531886862910917127193700886838518707466134742746593358300448617073238999419160334373330958954321968643400501535829882456686001887001630027451248207083808113154880140053534900522289577232488074987421905304670624769014142435471433554717723073382755030757969757945288496627641986001154045591903542964249831364402179725946870720105381398969987700388477630489593163485934343666056640110995713037800148083180282713706873953841366700869485250248155302778400032448222052451836540408711706435517801418095841341581233070890445437521895597093584838495517656123034869461522489355015927006167677587114583100979360799944353855898327929299113821962962102965699500946199854894779494467034584939890564}
30221  547909836643776310122936398649844368691343037417890207413499861050089869775011248693816: {634431,755275,906330,966752,1087596,1963195,2325631,2355834,2807391,2868715,3322330,3350091,3442458,3593443,3986796,4318171,4377115,5133490,5252538,5919788,6160188,7089715,7142943,7307674,7637311,8456840,8507658,8724043,9513945,9627739,9845643,10148208,10991708,11189731,11326125,11416734,11464671,11800771,11904115,12081200,12505195,13098554,13591350,13606219,14284938,14497440,14607715,14912378,15006234,15463936,15508195,15702440,15985330,16108315,16309620,17008195,17396928,17529258,17665245,18161738,18428371,18601352,18609834,18712220,18842928,19106515,19182396,19329978,19440428,19571544,20122723,20409834,20602443,20926521,21198294,21289891,21790682,22017987,22047691,22454664,22927818,23495419,23538559,23596315,24200011,24346911,24506972,24912525,25236332,25261497,25667011,25945340,26573360,26685308,27114739,27772040,27816451,28315578,29022578,29895030,30209691,30414130,30802058,31072713,31134408,31186474,31243545,31888032,32130571,32865951,33326448,33327098,33451099,34037515,34326043,34634012,34847683,34930195,35009960,35026209,35124943,35431231,35539082,35874036,36096476,36370531,36496956,36991325,37410571,37492254,38497315,38993852,39386205,40278715,40802331,40845018,40898623,41916234,42011952,42044434,42282211,43417178,44002940,44389590,45159752,45937178,45978559,46196778,46323643,47073994,47263446,47348896,47497663,47610140,48334458,48690111,49115132,49477160,49515091,49927999,50178490,50346115,50663659,50730802,50804721,50921083,51308571,51557563,51686851,52117915,52408243,52502138,52708195,52803528,52844750,53131531,53267508,53556451,53874271,53921631,54726223,54746443,54965343,55661805,56008191,56541115,57130195,57132168,57192434,57804811,58066291,58224283,58973002,59190715,59372592,59403969,59787739,59916332,60214188,60223065,60415338,61086344,61209471,61367971,61600028,61633123,62024540,62541498,63249834,63413700,63596252,63761923,64237936,64273689,64601083,65038171,65624540,65694079,66291919,66492476,66794166,67439996,67641280,67849338,67999315,68556234,68722137,68878195,68988883,69778472,69862202,69877483,69915331,71028858,71694125,72267678,72472363,72546943,73090443,74053951,74143915,74429448,74846719,74867551,75327619,75433123,75437313,75492500,75934898,76096440,76411903,76524045,76718618,76858171,77695843,78500781,78749448,79106851,79383752,79755231,80195443,80615834,81144715,81169536,81599178,81625648,81786908,81791818,82653834,82716799,82720411,83616218,83733129,84812732,84857151,84995818,85148252,85294898,85594760,85608495,86032950,86333971,86636671,86961115,87400011,87647299,87668530,87837391,88000040,88136539,88415643,88593129,88849772,88972698,89306721,89806325,89875843,90188588,90591000,90633994,90651561,90950943,91121938,91312915,91315728,91768480,91828854,91963551,92641138,93162751,93625658,94150843,94208659,94996191,95077195,95226908,95655715,95902298,96012931,96098623,96125498,96294105,96422491,96630400,96787196,97373658,97452211,97517451,98466091,98533402,98705323,99000045,...,2205102526386555034874434025719040383083658533891818392941437259748615818782630304952999139341483490425876951050806029594163268998344245553127703356167169979800693171585215975698341149505534375764130150154943173600220739659384185943339145118808037687690048871712842942224026949892128418657944903413832035298001351031175372044122081228564662694761693809927675860618791780605935822174692953503220214469401999782258809216901236766954740389660437887009593433595919660901019431852871354426790400666265553112321513601581028981057480364295602701571425448407584592407743267472974868362455958530573680880408440834905678019468060751523986832583608333013860828550435240732138181988106807964385818237474984176255001056698855536982049790438399615091048962064140603035349673268677738262761531570962517227180171158938355401565614705176997633016276947041038327358737979304590344528141328370619623905447752932933827929092106453663860089121606666241896126777473134944161706495856204654713703517172516187505693070826921687866712519592567727742973013579024852428838497768843194832426341858417570838913104198113352973780515113467908550825625433600713317204393702007458935736901077904673052670506551658558600282563166006718215893906389016550138874258496719811248855810313172719208210069873075782082720078780654001185741905389936082432465221023242856836481684071203856573328298075741091260750725307258710996743362307635733945798625462054283151158709295927096222659648587600381062132356716205643859840609686376741740292276259686265710062982271190791521824928860337265480831443560901805857019558284787115927599131167548745645384439929374290589581192693104186846979761132810458869896118204688122595116159220456529702636964374810340734720701860514554054289583208099011438225732858466091927888099453452736405144167671931993660576308267331988259166188312681906932106622436418626915242827396692539858654880109641866507373620025982317406387596460101115239504850217686545569438959304665199658468290650300610729353750429350532709053576350066777370455913810065521025328023786001039049703146524130665198350648868736116450110600624096765784684091401948636142036383714103397002155671166135062060750615307222233058649143701385116429267806313664911749015499293087706109024000868109519808935089766195905676048354569045348361364302419881288898694816848481007114612299026861460856684497596639286810330664848963778836324313028034229582590503802784244871473888979085133183713504231581739389939486308427515459396586845887841176237722963905703504165280761481700412636174730322619731055019910851917523681544536205328849538419488589153030627454591322592468135217754815077805133268030868309983261773365324701161387046484290878425664653154284192365638478886416764508950559278603853415054939175264297743722584249076794522367853891094085662069077425714448523422669258361479289715257793853107503907057633195880370204856686909516215459557493662671668146903674275157660955790662810169040350577571531948889472660007544013240217313629496653471469036816507676559961916674764064934275720547520135189226417944907811804157145908721007337629283286437215825790177119700225545306264531840464136209918190989482651809798820421791687609835005213342645988341165170208644475127490671173303615357625370715809407567674423163823334913575253521579506462972004126304843181479187037791831690105278452108069041506127425414629480847218400986582035583507715268050089800705055151649562565224379383483667558182731940050851957809951863362126635987731050291478125015763419198192434501867870256387516783298793517971345907331277393615694649051201500493907579709467248214119262314998599542310604192375631088559920693455190950776643262307916977319363645647744077919002524067286637289400514651058216761335939029681605130687235290168288816410248548534681511269333631148724633869464781576554970550067840494445744799197224310897683249967165642379433122267440860877696535268091567006936921596085344878589365775428794146912135627174779178863990182027151292873352995788978355833017513205385367014631541159553090943131521097626319290976082835654610625556146739892980631959523518641299052599193523509330717802644889153797830294366375690790551330257778061199202114119890037450672925609858499128740501559996438431482952965100752303744823685029002830502445041176872310625712169732320210080302350783434365848732112481132857957005937153521213653207150332076584610074132546136954636917932744941462979001731068387855314446374747046603269588920306080158072098454981550582716445734389745228901515499084960166493569556700222124770424070560310930762050051304227875372232954167600048672333078677754810613067559653276702127143762012371849606335668156282843395640377257743276484184552304192283734032523890509251516380671874651469041199916530783847491893948670732944443154448549251419299782342169241700551877409835846}
30222  549606920018957977099790541156393365783736787195747517192424345274514866658890569620786: {332321,573857,845908,1026902,1208440,1237421,1359495,1389062,1450128,1598957,1631394,1839821,2501537,2681837,3102257,3141112,3282317,3402317,3533751,3558998,3743188,3941921,4466788,4540721,4589944,4899617,4983495,5002742,5163687,5315728,5795597,5980194,6084038,6332321,6444182,6987437,7003384,7165937,7399735,7700235,7878807,7879217,7883318,8213584,8879682,8961158,9240282,9523924,10396262,10425677,10571050,10720817,10961511,11343544,11471078,11605037,12487457,12685260,12761487,12898637,13127524,13530944,13719821,13739635,13778417,14831777,15101500,15222312,15286228,16276183,16487562,17125101,17537222,17569997,18121800,18961421,19046584,19308557,19329920,19628050,19647831,20008312,20387025,20405921,20731862,21086102,21427407,21746160,21787937,22368567,22509351,22649357,22855142,23195904,23251690,23372344,23390275,23553660,23852321,23914838,23977995,24138221,24195377,24300535,24464430,24652337,24813112,25123904,25222817,25576528,25678118,25773304,25906337,26095392,26293887,26702321,26929457,27213112,27242607,27437798,27469924,27789302,27893357,27902028,27914751,28068330,28264392,28402721,28491878,28773594,28967921,28994967,29160642,29357316,29588717,29814221,29895302,29939552,30095921,30570424,30602477,30614751,30633715,31164557,31545415,31781921,31797441,31837997,32431675,32462548,32686023,33044582,33216700,33356635,33681996,33795617,34391727,34715050,34789142,34854221,35187917,36760458,37294637,37626221,37754104,37854498,38178221,38267462,38614502,38918010,39514783,39860040,40027962,40279588,40347542,40597517,41145197,41254637,41430284,41512544,41658060,41746721,42292721,42422438,42473367,42517376,42892397,43055777,43292515,43382321,43533867,43762450,43821268,44435264,44522957,44685617,44842545,45120595,45227297,45621195,45822221,46203087,46308257,46701612,46779711,46900262,47484151,47493617,47586998,47832048,48273158,48662608,48728717,48742315,49103777,49989672,49990647,50066417,50328182,50706737,50866637,51452321,51695318,51951018,52036742,52514940,53044721,53097677,53308623,53450551,53811054,54144714,54155117,54403108,54460024,54682637,54745434,55003675,55888312,56015936,56208194,56238381,56260397,56449690,56522657,56732321,57140822,57465137,58490778,59030177,59173382,59186120,59342321,59394317,59511638,59512675,60121421,60432557,61056163,61267527,61393915,61595704,61725857,61846450,62190221,62653937,62874351,63017928,63066651,63425357,63559478,63733421,63895862,64445944,64920148,65125767,65218337,66004410,66034721,66584385,66747377,67356977,67739628,68269217,68411428,68623277,68905767,68924342,69258422,69295167,69386119,69460783,69834221,70085921,70404704,70538477,70610991,70895169,71023344,71415210,71422442,71591921,71895508,72501687,72923798,73287124,73370011,73588721,73672698,73887137,74135597,74215740,74631917,74677588,74895415,75267735,75325421,76096203,76176224,76240838,76357930,76559921,77000035,77530675,78279821,78554198,78753207,79163456,79205292,79267125,79495315,79901262,80184737,80285584,80297420,80357794,80553784,80768417,80914157,81612628,81932321,82030675,82175222,83115595,83388664,83573297,84299995,84333112,84534257,84551600,85587617,85698252,85788651,86255921,87160397,87223090,87411062,88156721,88459503,88866221,89058888,89291057,89364998,89526797,89573921,89856497,89874498,90015158,90232817,90279821,90321282,90465784,90561677,90623007,90937037,91408312,91629516,91638038,92286182,92400042,92666417,93036810,93317921,93503777,93782321,93812247,94199597,94365625,94431137,94477421,94705144,94874751,95120550,95394378,95401421,96356904,96551921,97453924,98093558,98336717,98436810,98883437,99229690,99239264,99738714,99863071,...,3307653789579832552311651038578560574625487800837727589412155889622923728173945457429498709012225235638815426576209044391244903497516368329691555034250754969701039757377823963547511724258301563646195225232414760400331109489076278915008717678212056531535073307569264413336040424838192627986917355120748052947002026546763058066183121842846994042142540714891513790928187670908903733262039430254830321704102999673388213825351855150432110584490656830514390150393879491351529147779307031640185600999398329668482270402371543471586220546443404052357138172611376888611614901209462302543683937795860521320612661252358517029202091127285980248875412499520791242825652861098207272982160211946578727356212476264382501585048283305473074685657599422636573443096210904553024509903016607394142297356443775840770256738407533102348422057765496449524415420561557491038106968956885516792211992555929435858171629399400741893638159680495790133682409999362844190166209702416242559743784306982070555275758774281258539606240382531800068779388851591614459520368537278643257746653264792248639512787626356258369656297170029460670772670201862826238438150401069975806590553011188403605351616857009579005759827487837900423844749010077323840859583524825208311387745079716873283715469759078812315104809613673124080118170981001778612858084904123648697831534864285254722526106805784859992447113611636891126087960888066495115043461453600918697938193081424726738063943890644333989472881400571593198535074308465789760914529565112610438414389529398565094473406786187282737393290505898221247165341352708785529337427180673891398696751323118468076659894061435884371789039656280270469641699215688304844177307032183892674238830684794553955446562215511102081052790771831081434374812148517157338599287699137891832149180179104607716251507897990490864462400997982388749282469022860398159933654627940372864241095038809787982320164462799761060430038973476109581394690151672859257275326529818354158438956997799487702435975450916094030625644025799063580364525100166055683870715098281537992035679001558574554719786195997797525973303104174675165900936145148677026137102922954213054575571155095503233506749202593091125922960833349587973715552077674643901709470497367623523248939631559163536001302164279713402634649293858514072531853568022542046453629821933348042225272721510671918448540292191285026746394958930215495997273445668254486469542051344373885755704176367307210833468627699775570256347372609084909229462641273189094880268831761764356584445858555256247921142222550618954262095483929596582529866277876285522316804307993274307629232883729545941181886983888702202826632222616707699902046302464974892660047987051742080569726436317638496979731426288548457718329625146763425838917905780122582408762896446615583876373615191783551780836641128493103616138571672785134003887542218934572886690779661255860586449793820555307285030364274323189336240494007502220355511412736491433685994215253560525866357297923334208990011316019860325970444244980207203555224761514839942875012146097401413580821280202783839626917361717706235718863081511006443924929655823738685265679550338317959396797760696204314877286484223977714698230632687531414752507820013968982511747755312966712691236006759955423036438056073714111351511634745735002370362880282369259694458006189457264772218780556687747535157917678162103562259191138121944221270827601479873053375261572902075134701057582727474343847836569075225501337274097910076277936714927795043189953981596575437217187523645128797288651752801805384581275174948190276957018860996916090423541973576802250740861369564200872321178893472497899313465906288563446632839881040182786426164964893461875465979045468471616116878503786100929955934100771976587325142003908544522407696030852935252433224615372822802022266904000446723086950804197172364832455825101760741668617198795836466346524874950748463569149683401161291316544802902137350510405382394128017317884048663143191220368203440762168768295985273040726939310029493683467533749526269808078050521947311739329636414697281646439478936464124253481915938334220109839470947939285277961948578898790285263996076703967333730696745441549563536185826995386667091798803171179835056176009388414787748693110752339994657647224429447651128455617235527543504245753667561765308465938568254598480315120453526175151548773098168721699286935508905730281820479810725498114876915111198819205431955376899117412194468502596602581782971669562120569904904383380459120237108147682472325874074668601584617843352273248627440249740354335050333187155636105840466396143075076956341813058349431251400073008499618016632215919601339479915053190715643018557774409503502234424265093460565886614914726276828456288425601048785835763877274571007811977203561799874796175771237840923006099416664731672823877128949673513253862550827816114753769}
30223  551309229370507433654142655142282760552777818574204357514951292371870362026605655310053: {30223,1057385,1268862,1510550,1540353,1812660,1933504,2083593,2175192,2447091,2748473,3926390,4016201,4651262,4678985,4711668,5103293,5338497,5583485,5614782,5737430,6127961,6644660,6700182,6884916,7186886,7504113,7973592,8636342,8754230,8970291,9025913,9126057,9666273,9750401,9925601,10266980,10291721,10505076,11378237,11824977,11839576,11904905,12320376,13189097,13319523,13441737,13860423,14179430,14269937,14285886,14615348,15274622,15594393,15856575,16080077,16409405,16665761,16913680,17015316,17206617,17448086,17507273,18876875,18976301,19027890,19107785,19255478,19691286,20296416,20450801,21510497,21711473,21983416,22379462,22551641,22652250,22833468,22929342,23601542,23808230,23811473,24162400,24201617,24641537,24731343,25010390,26185577,26197108,26305833,26749121,27182700,27212438,27818297,28569876,28600013,28984721,28994880,29215430,29442075,29824756,30012468,30927872,31016390,31097793,31404880,31629153,31970660,32216630,32619240,33034841,34016390,34113497,34282713,34328321,34337405,34793856,34877535,35058516,35330490,35872257,36093497,36323476,36696645,36856742,37202704,37219668,37395053,37424440,37685856,37972493,38213030,38364401,38364792,38517177,38659956,38880856,39143088,39533117,40245446,40578185,40649417,40819668,41156697,41204886,41520875,41683953,41853042,41873273,42102495,42285017,42396588,42579782,42737817,43160391,43581364,43740963,44035974,44095382,44212493,44842953,44909328,45855636,46434953,46990838,47077118,47192630,47652521,48400022,48693822,48902273,49013944,49518377,49566873,49649741,49825050,50349485,50472664,50522994,51334022,51787855,51890680,52072575,52183713,52411721,52710353,53135057,53146720,53305277,53370616,53896241,54229478,54338297,54776585,55113257,55140687,55544080,55632902,55723313,55769741,56390201,56631156,56781747,57401193,57767657,57921753,58045156,58377015,59005817,59090813,59790060,60041943,60419382,60521313,60828260,60898793,61187201,61604116,62145426,62268816,62372948,62487090,63633657,63669593,63776064,64261142,64605377,65643675,65698457,65731902,66652896,66654196,66902198,67159793,68003885,68075030,68159297,68652086,69268024,69695366,69860390,70019920,70052418,70249886,70350393,70484561,70658237,70862462,71078164,71299793,71380497,71748072,72192952,72409737,72741062,72965081,72993912,73563017,73746737,73791473,73982650,74665001,74821142,74984508,75438137,75492273,75527177,76863293,76994630,77470457,77542977,77638457,77926527,77987704,78055113,78772410,79002137,79157561,79982273,80557430,80716581,81150185,81217071,81335213,81604662,81690036,81797246,82118151,82867001,83054177,83832468,84023904,84088868,84312291,84564422,84662861,84674535,85514285,85711233,86755553,86834356,87736167,88005880,88479833,88760073,88779180,89267457,89630201,89869385,89881817,90116237,90319504,91608905,91874356,91922777,91957118,92393556,92446313,92647286,92769675,93346985,94147988,94214921,94526892,94697792,94813241,94995326,95199041,95220280,95339217,95843793,96074177,96429473,96668916,97342397,97380222,97503617,97756217,98230264,98472653,98954320,99006615,99030182,99109421,99855998,...,4410205052773110069748868051438080766167317067783636785882874519497231637565260609905998278682966980851753902101612059188326537996688491106255406712334339959601386343170431951396682299011068751528260300309886347200441479318768371886678290237616075375380097743425685884448053899784256837315889806827664070596002702062350744088244162457129325389523387619855351721237583561211871644349385907006440428938803999564517618433802473533909480779320875774019186867191839321802038863705742708853580801332531106224643027203162057962114960728591205403142850896815169184815486534945949736724911917061147361760816881669811356038936121503047973665167216666027721657100870481464276363976213615928771636474949968352510002113397711073964099580876799230182097924128281206070699346537355476525523063141925034454360342317876710803131229410353995266032553894082076654717475958609180689056282656741239247810895505865867655858184212907327720178243213332483792253554946269888323412991712409309427407034345032375011386141653843375733425039185135455485946027158049704857676995537686389664852683716835141677826208396226705947561030226935817101651250867201426634408787404014917871473802155809346105341013103317117200565126332013436431787812778033100277748516993439622497711620626345438416420139746151564165440157561308002371483810779872164864930442046485713672963368142407713146656596151482182521501450614517421993486724615271467891597250924108566302317418591854192445319297175200762124264713432411287719681219372753483480584552519372531420125964542381583043649857720674530961662887121803611714039116569574231855198262335097491290768879858748581179162385386208373693959522265620917739792236409376245190232318440913059405273928749620681469441403721029108108579166416198022876451465716932183855776198906905472810288335343863987321152616534663976518332376625363813864213244872837253830485654793385079717309760219283733014747240051964634812775192920202230479009700435373091138877918609330399316936581300601221458707500858701065418107152700133554740911827620131042050656047572002078099406293048261330396701297737472232900221201248193531569368182803897272284072767428206794004311342332270124121501230614444466117298287402770232858535612627329823498030998586175412218048001736219039617870179532391811352096709138090696722728604839762577797389633696962014229224598053722921713368995193278573620661329697927557672648626056068459165181007605568489742947777958170266367427008463163478779878972616855030918793173691775682352475445927811407008330561522963400825272349460645239462110039821703835047363089072410657699076838977178306061254909182645184936270435509630155610266536061736619966523546730649402322774092968581756851329306308568384731276957772833529017901118557207706830109878350528595487445168498153589044735707782188171324138154851428897046845338516722958579430515587706215007814115266391760740409713373819032430919114987325343336293807348550315321911581325620338080701155143063897778945320015088026480434627258993306942938073633015353119923833349528129868551441095040270378452835889815623608314291817442014675258566572874431651580354239400451090612529063680928272419836381978965303619597640843583375219670010426685291976682330340417288950254981342346607230715250741431618815135348846327646669827150507043159012925944008252609686362958374075583663380210556904216138083012254850829258961694436801973164071167015430536100179601410110303299125130448758766967335116365463880101703915619903726724253271975462100582956250031526838396384869003735740512775033566597587035942691814662554787231389298102403000987815159418934496428238524629997199084621208384751262177119841386910381901553286524615833954638727291295488155838005048134573274578801029302116433522671878059363210261374470580336577632820497097069363022538667262297449267738929563153109941100135680988891489598394448621795366499934331284758866244534881721755393070536183134013873843192170689757178731550857588293824271254349558357727980364054302585746705991577956711666035026410770734029263082319106181886263042195252638581952165671309221251112293479785961263919047037282598105198387047018661435605289778307595660588732751381581102660515556122398404228239780074901345851219716998257481003119992876862965905930201504607489647370058005661004890082353744621251424339464640420160604701566868731697464224962265715914011874307042427306414300664153169220148265092273909273835865489882925958003462136775710628892749494093206539177840612160316144196909963101165432891468779490457803030998169920332987139113400444249540848141120621861524100102608455750744465908335200097344666157355509621226135119306553404254287524024743699212671336312565686791280754515486552968369104608384567468065047781018503032761343749302938082399833061567694983787897341465888886308897098502838599564684338483401103754819671692}
30224  553016780697682947139598688502887741141798801709294103598522879733067805010126352355409: {392743,664642,1116919,1147714,1297783,1691816,1903293,2053804,2265825,2416880,2474842,2718990,2778124,2900256,3197914,3262788,3679642,3822319,5003074,5363674,5889585,6204514,6282224,6332743,6564634,6804634,6976893,7067502,7117996,7225903,7486376,7883842,8295319,8305825,8422173,8606145,8933576,9081442,9179888,9184519,9799234,9966990,10005484,10050273,10327374,10359629,10631456,10780329,11134423,11591194,11960388,12168076,12547063,12664642,12833725,12888364,12954513,13131345,13779343,13974874,14006768,14331874,14799470,15400470,15757614,15758434,15766636,16058503,16427168,17759364,17922316,18151543,18269185,18480564,19020583,19047848,19235489,20792524,20851354,21142100,21269145,21428829,21441634,21923022,22134223,22687088,22911933,22942156,23166919,23210074,24197023,24974914,25370520,25522974,25737319,25797274,26172129,26255048,27061888,27439642,27441919,27479270,27556834,28541835,28883217,29536929,29663554,30154303,30203000,30444624,30572456,30660823,31671919,31840183,32552366,32680423,32746385,32975124,33569193,33978375,34020749,34250202,34394013,34856623,35074444,35139994,35402313,35712345,36243600,37280945,37352503,37515585,37518319,37684063,37922842,38093168,38617114,38659840,39256100,39295662,39832183,39963325,40016624,40774050,40811842,40818657,41463724,41804263,42172204,42295663,42854814,42887201,43492320,43575874,43823145,44163581,44737134,44905519,45018702,45298714,45404345,45710284,45717319,46365463,46391808,46503380,46524585,46527319,46699289,46744688,46780550,47107320,47704642,47829676,47955990,48276442,48324945,48390754,48601070,48928860,49304674,49626224,49749319,50247808,50445634,50550319,51024585,51153056,51356236,51546608,51812674,51987583,52190784,52587774,52995735,53101423,53404642,53858914,54426224,54476705,54485214,54875596,54939848,55285113,55578604,55786714,55804056,55829502,56117633,56136660,56528784,56805442,56983756,57319545,57547188,57935842,57989934,58321284,58714632,59177434,59398543,59628442,59790604,59879104,60021919,60177583,60191842,60368169,60609521,61140848,61204954,61229502,61267430,61807329,62329114,62779563,63090830,63168833,63563842,63594882,63675994,63737983,63869673,64863350,64925096,65274103,65372046,66053961,66089164,66143073,66192319,66433400,66713270,67363992,67591234,68239241,68628223,68783454,69430100,69578284,69708442,70375834,70486257,70593823,70615677,70788945,71647183,72556445,72600033,73040733,73520916,73892503,74589274,74737575,75252442,75508208,75708996,75784491,75973519,76035325,76356442,76534924,76713319,77001033,77005145,77229004,77836020,77966185,78187519,78921919,79029566,79720080,80055924,80531263,80559176,80695084,80968663,81195034,81344217,82001777,82290394,82509274,82860568,83025088,83316120,83317745,83449353,83493442,84585442,84588463,84844876,84946734,85034752,85593943,85784794,85951481,86023783,86111554,86585030,86710013,86764642,87067734,87524900,87642536,88163263,88847705,88870528,89045914,89371234,89580583,89685090,89863183,90241190,90286543,90454594,90629073,90990703,91242390,91644442,92406174,92616514,93218139,93403224,93559422,93730635,93789343,93800524,94484503,94968302,94987234,95173996,95454703,95664096,96391713,96546316,97325216,97457434,97484630,98207554,98597853,98754319,99979344,99981294,...,6615307579159665104623302077157121149250975601675455178824311779245847456347890914858997418024450471277630853152418088782489806995032736659383110068501509939402079514755647927095023448516603127292390450464829520800662218978152557830017435356424113063070146615138528826672080849676385255973834710241496105894004053093526116132366243685693988084285081429783027581856375341817807466524078860509660643408205999346776427650703710300864221168981313661028780300787758982703058295558614063280371201998796659336964540804743086943172441092886808104714276345222753777223229802418924605087367875591721042641225322504717034058404182254571960497750824999041582485651305722196414545964320423893157454712424952528765003170096566610946149371315198845273146886192421809106049019806033214788284594712887551681540513476815066204696844115530992899048830841123114982076213937913771033584423985111858871716343258798801483787276319360991580267364819998725688380332419404832485119487568613964141110551517548562517079212480765063600137558777703183228919040737074557286515493306529584497279025575252712516739312594340058921341545340403725652476876300802139951613181106022376807210703233714019158011519654975675800847689498020154647681719167049650416622775490159433746567430939518157624630209619227346248160236341962003557225716169808247297395663069728570509445052213611569719984894227223273782252175921776132990230086922907201837395876386162849453476127887781288667978945762801143186397070148616931579521829059130225220876828779058797130188946813572374565474786581011796442494330682705417571058674854361347782797393502646236936153319788122871768743578079312560540939283398431376609688354614064367785348477661369589107910893124431022204162105581543662162868749624297034314677198575398275783664298360358209215432503015795980981728924801995964777498564938045720796319867309255880745728482190077619575964640328925599522120860077946952219162789380303345718514550653059636708316877913995598975404871950901832188061251288051598127160729050200332111367741430196563075984071358003117149109439572391995595051946606208349350331801872290297354052274205845908426109151142310191006467013498405186182251845921666699175947431104155349287803418940994735247046497879263118327072002604328559426805269298587717028145063707136045084092907259643866696084450545443021343836897080584382570053492789917860430991994546891336508972939084102688747771511408352734614421666937255399551140512694745218169818458925282546378189760537663523528713168891717110512495842284445101237908524190967859193165059732555752571044633608615986548615258465767459091882363773967777404405653264445233415399804092604929949785320095974103484161139452872635276993959462852577096915436659250293526851677835811560245164817525792893231167752747230383567103561673282256986207232277143345570268007775084437869145773381559322511721172899587641110614570060728548646378672480988015004440711022825472982867371988430507121051732714595846668417980022632039720651940888489960414407110449523029679885750024292194802827161642560405567679253834723435412471437726163022012887849859311647477370531359100676635918793595521392408629754572968447955429396461265375062829505015640027937965023495510625933425382472013519910846072876112147428222703023269491470004740725760564738519388916012378914529544437561113375495070315835356324207124518382276243888442541655202959746106750523145804150269402115165454948687695673138150451002674548195820152555873429855590086379907963193150874434375047290257594577303505603610769162550349896380553914037721993832180847083947153604501481722739128401744642357786944995798626931812577126893265679762080365572852329929786923750931958090936943232233757007572201859911868201543953174650284007817089044815392061705870504866449230745645604044533808000893446173901608394344729664911650203521483337234397591672932693049749901496927138299366802322582633089605804274701020810764788256034635768097326286382440736406881524337536591970546081453878620058987366935067499052539616156101043894623478659272829394563292878957872928248506963831876668440219678941895878570555923897157797580570527992153407934667461393490883099127072371653990773334183597606342359670112352018776829575497386221504679989315294448858895302256911234471055087008491507335123530616931877136509196960630240907052350303097546196337443398573871017811460563640959621450996229753830222397638410863910753798234824388937005193205163565943339124241139809808766760918240474216295364944651748149337203169235686704546497254880499480708670100666374311272211680932792286150153912683626116698862502800146016999236033264431839202678959830106381431286037115548819007004468848530186921131773229829452553656912576851202097571671527754549142015623954407123599749592351542475681846012198833329463345647754257899347026507725101655632229507538}
30225  554729590048439362189860763921541636466565004314783372812333235987343674855390926752028: {60446,996963,1480339,1721571,2114770,2537724,2567255,3021100,3080706,3472655,3625320,3654563,3712263,3867008,4078485,4167186,4350384,4796871,4894182,5496946,5519463,5646839,6550579,7504611,7816879,7852780,8032402,8045511,8897495,9302524,9306771,9357970,9423336,9846951,10206586,10206951,10601253,10676994,10897507,11166970,11229564,11474860,11825763,12162943,12255922,12506855,13289320,13400364,13622163,13769832,14373772,14698851,14950485,15008226,15210095,15491061,15947184,16110455,16666867,16864471,17272684,17386791,17508460,17583863,17940582,18051826,18252114,18996963,19332546,19500802,19708295,19851202,20533960,20583442,20962311,21010152,21208807,21497811,22199205,22402895,22756474,22973167,23100705,23636421,23637651,23649954,23679152,23809810,24098639,24640752,25990655,26378194,26427625,26639046,26750899,26883474,27720846,28358860,28441823,28539874,28571772,28601911,28677695,29230696,30549244,30946591,31188786,31277031,31713150,32160154,32162451,32818810,32884533,33331522,33455543,33827360,34030632,34413234,34815111,34896172,35014546,36375359,37462371,37753750,37952602,38055780,38215570,38284461,38366947,38510956,38695911,39382572,40315951,40592832,40901602,41159463,41218905,41335251,41794471,42655951,43020994,43422946,43843055,43966832,44495331,44758924,45103282,45304500,45570047,45666936,45858684,47203084,47616460,47622946,48072367,48324800,48403234,48828549,49070125,49283074,49462686,50020780,51375303,51564407,51829655,52371154,52394216,52611666,52709991,52715255,53498242,54365400,54424876,55196339,55490887,55636594,55727011,56809459,56884263,56981503,57137855,57139752,57200026,57497171,57925671,57969442,57989760,58073999,58129225,58430860,58884150,58911571,58943493,59649512,59787095,60024936,61161075,61217763,61641311,61855744,62032780,62195586,62330887,62809760,63258306,63941320,64195295,64282221,64433260,65238480,65363811,66069682,67105701,67528053,67948071,68032780,68226994,68565426,68594495,68656642,68674810,69473255,69587712,69755070,70035359,70117032,70170825,70489279,70660980,71229695,71556963,71744514,71933985,72186994,72414663,72481991,72502997,72586131,72646952,72901605,73393290,73713484,73957011,74405408,74439336,74738255,74790106,74848880,75371712,75668451,75944986,76139447,76426060,76687219,76728802,76729584,77034354,77319912,77643631,77719011,77761712,78201311,78286176,78881661,79066234,80106963,80490892,80788371,81156370,81298834,81639336,81727821,82313394,82409772,82611455,83041750,83367906,83519987,83680071,83706084,83744253,83746546,84204990,84570034,84604271,84793176,85159564,85208163,85475634,86320782,86787625,86903763,86938111,86972855,86984901,87162728,87481926,87658943,88008607,88071948,88190764,88424986,88766151,89259391,89442663,89685906,89818656,90287763,90501679,90603923,91378247,91711272,91807431,91844253,91901145,92869906,93366167,93493671,93981676,94154236,94163351,94385260,94512151,94636245,95205439,95305042,95345763,95392323,95513991,95668655,96080563,96435383,96536255,96800044,97295025,97387644,97804546,98027888,98058069,99036754,99133746,99299482,99650100,...,9922961368739497656934953115735681723876463402513182768236467668868771184521836372288496127036675706916446279728627133173734710492549104989074665102752264909103119272133471890642535172774904690938585675697244281200993328467228836745026153034636169594605219922707793240008121274514577883960752065362244158841006079640289174198549365528540982126427622144674541372784563012726711199786118290764490965112308999020164641476055565451296331753471970491543170451181638474054587443337921094920556802998194989005446811207114630414758661639330212157071414517834130665834844703628386907631051813387581563961837983757075551087606273381857940746626237498562373728476958583294621818946480635839736182068637428793147504755144849916419224056972798267909720329288632713659073529709049822182426892069331327522310770215222599307045266173296489348573246261684672473114320906870656550376635977667788307574514888198202225680914479041487370401047229998088532570498629107248727679231352920946211665827276322843775618818721147595400206338166554774843378561105611835929773239959794376745918538362879068775108968891510088382012318010605588478715314451203209927419771659033565210816054850571028737017279482463513701271534247030231971522578750574475624934163235239150619851146409277236436945314428841019372240354512943005335838574254712370946093494604592855764167578320417354579977341340834910673378263882664199485345130384360802756093814579244274180214191831671933001968418644201714779595605222925397369282743588695337831315243168588195695283420220358561848212179871517694663741496024058126356588012281542021674196090253969355404229979682184307653115367118968840811408925097647064914532531921096551678022716492054383661866339686646533306243158372315493244303124436445551472015797863097413675496447540537313823148754523693971472593387202993947166247847407068581194479800963883821118592723285116429363946960493388399283181290116920428328744184070455018577771825979589455062475316870993398463107307926352748282091876932077397190741093575300498167051612145294844613976107037004675723664159358587993392577919909312524025497702808435446031078411308768862639163726713465286509700520247607779273377768882500048763921146656233023931705128411492102870569746818894677490608003906492839140207903947881575542217595560704067626139360889465800044126675818164532015755345620876573855080239184876790646487991820337004763459408626154033121657267112529101921632500405883099326710769042117827254727688387923819567284640806495285293069753337575665768743763426667651856862786286451788789747589598833628856566950412923979822922887698651188637823545660951666106608479896667850123099706138907394924677980143961155226241709179308952915490939194278865645373154988875440290277516753717340367747226288689339846751629120845575350655342509923385479310848415715018355402011662626656803718660072338983767581759349381461665921855091092822969568008721482022506661066534238209474301057982645760681577599071893770002626970033948059580977911332734940621610665674284544519828625036438292204240742463840608351518880752085153118707156589244533019331774788967471216055797038651014953878190393282088612944631859452671933144094691898062594244257523460041906947535243265938900138073708020279866269109314168221142334054534904237205007111088640847107779083374018568371794316656341670063242605473753034486310686777573414365832663812482804439619160125784718706225404103172748182423031543509707225676504011822293730228833810144783385129569861944789726311651562570935386391865955258405416153743825524844570830871056582990748271270625920730406752222584108692602616963536680417493697940397718865690339898519643120548359278494894680385626397937136405414848350635511358302789867802302315929761975426011725633567223088092558805757299673846118468406066800712001340169260852412591517094497367475305282225005851596387509399039574624852245390707449050203483873949634408706412051531216147182384051953652145989429573661104610322286506304887955819122180817930088481050402601248578809424234151565841935217988909244091844939318436809392372760445747815002660329518412843817855833885845736696370855791988230111902001192090236324648690608557480986160001275396409513539505168528028165244363246079332257019983972941673288342953385366851706582630512737261002685295925397815704763795440945361360578525454646319294506165097860806526717190845461439432176494344630745333596457616295866130697352236583405507789807745348915008686361709714713150141377360711324443047416977622224005804753853530056819745882320749221063005150999561466908317521399188429225230869025439175048293754200219025498854049896647758804018439745159572146929055673323228510506703272795280381697659844744178830485368865276803146357507291631823713023435931610685399624388527313713522769018298249994195018471631386849020539761587652483448344261307}
30226  556447673519575454509496102508075303668814120109881735168791453451091947881095994573139: {90669,694669,785486,875713,1329284,2233838,2295428,2595566,2682193,3172155,3222733,3383632,3402769,3776375,3806586,4107608,4122193,4531650,4621059,4833760,4949684,5019853,5378413,5437980,5556248,5800512,5915713,6250779,6395828,6525576,7341273,7359284,7644638,8245419,9815975,10006148,10368013,10545169,10722253,10727348,11606593,11628155,11779170,12048603,12409028,12564448,12665486,13129268,13609268,13897453,13953786,14036955,14135004,14235992,14343575,14451806,14950669,14972752,15125953,15309879,15767684,16015491,16525633,16590638,16611650,16700269,16750455,16844346,17212290,17572369,17867152,17967215,18162884,18359776,18369038,18383883,19311169,19484653,19598468,19933980,20010968,20100546,20654748,20719258,21262912,21560658,21590855,21885575,21905869,22268846,22512339,22767169,23182388,23454913,23920776,24312973,24336152,24655693,25094126,25329284,25340269,25576859,25667450,25776728,25909026,26023693,26262690,26910873,27077739,27216913,27378171,27558686,27949748,28013536,28663748,28745869,28998819,29251203,29598940,29761933,29776803,30800940,30875163,31515228,31516868,31533272,31954513,32117006,32122669,32854336,33800269,34134711,34636369,35303953,35448575,35474931,35518728,35714715,35844632,36303086,36538370,36961128,36967873,38041166,38095696,38186555,38470978,39450253,39567291,39958569,40325211,40603153,41260369,41581269,41585048,41702708,42284200,42538290,42809811,42857658,42883268,43620215,43714669,43846044,44268446,45341869,45374176,45823866,45844939,45884312,45990733,46314733,46333838,46420148,46783179,47569725,47607853,48138695,48240231,48394046,48735553,49228215,49378369,49949828,49997283,50741040,50820493,51045948,51474638,51594548,51619851,51778669,52193323,52344258,52510096,52521819,53211073,54004333,54123776,54879284,54883838,54958540,55111873,55113668,55948655,56373313,56630625,56928903,57083670,57323355,57766434,58100269,59003855,59073858,59327108,59520575,59818513,60308606,60406000,60889248,61144912,61321646,61352403,61837933,62094659,62525975,62765869,63343838,63537169,63566083,63680366,64460353,64531491,65074369,65104732,65134419,65360846,65492770,65950248,66320839,66756973,67138386,67214353,67366669,67654923,67956750,67975213,68031095,68041498,68279053,68500404,68734273,68788026,69713246,70148888,70279988,70804626,71301613,71424690,71434419,72052753,72487200,72604851,73038575,73924611,73997293,74194029,74295373,74561890,74705006,75031170,75036638,75368126,75845684,76186336,76225873,76267387,76521793,77234228,77260333,77319680,77540975,78512200,78556731,78591324,78917499,79172113,79664366,79904173,79926650,80033248,80247363,80541575,81548100,81623684,81637314,82927448,83454891,83608526,83681869,83993723,84344408,84546733,84591326,85040975,85695853,85709628,85774402,85800039,86697553,86954163,86984640,87151748,87646290,88326225,88327162,88832173,89398669,89474268,89811038,89964013,90037404,90597428,90808690,91420568,91434638,91512769,92141855,92353873,92730926,92773453,92783616,93006760,93049170,93054638,93293379,93398578,93489376,93561100,94167373,94214640,94306369,94445293,94861633,94887459,95409284,95532575,95659352,95692369,95911980,95945399,96552884,96649890,96781508,96911191,97202140,97857720,98609348,99104523,99252448,99498638,99671053,...,13230615158319330209246604154314242298501951203350910357648623558491694912695781829717994836048900942555261706304836177564979613990065473318766220137003019878804159029511295854190046897033206254584780900929659041601324437956305115660034870712848226126140293230277057653344161699352770511947669420482992211788008106187052232264732487371387976168570162859566055163712750683635614933048157721019321286816411998693552855301407420601728442337962627322057560601575517965406116591117228126560742403997593318673929081609486173886344882185773616209428552690445507554446459604837849210174735751183442085282450645009434068116808364509143920995501649998083164971302611444392829091928640847786314909424849905057530006340193133221892298742630397690546293772384843618212098039612066429576569189425775103363081026953630132409393688231061985798097661682246229964152427875827542067168847970223717743432686517597602967574552638721983160534729639997451376760664838809664970238975137227928282221103035097125034158424961530127200275117555406366457838081474149114573030986613059168994558051150505425033478625188680117842683090680807451304953752601604279903226362212044753614421406467428038316023039309951351601695378996040309295363438334099300833245550980318867493134861879036315249260419238454692496320472683924007114451432339616494594791326139457141018890104427223139439969788454446547564504351843552265980460173845814403674791752772325698906952255775562577335957891525602286372794140297233863159043658118260450441753657558117594260377893627144749130949573162023592884988661365410835142117349708722695565594787005292473872306639576245743537487156158625121081878566796862753219376709228128735570696955322739178215821786248862044408324211163087324325737499248594068629354397150796551567328596720716418430865006031591961963457849603991929554997129876091441592639734618511761491456964380155239151929280657851199044241720155893904438325578760606691437029101306119273416633755827991197950809743901803664376122502576103196254321458100400664222735482860393126151968142716006234298218879144783991190103893212416698700663603744580594708104548411691816852218302284620382012934026996810372364503691843333398351894862208310698575606837881989470494092995758526236654144005208657118853610538597175434056290127414272090168185814519287733392168901090886042687673794161168765140106985579835720861983989093782673017945878168205377495543022816705469228843333874510799102281025389490436339636917850565092756379521075327047057426337783434221024991684568890202475817048381935718386330119465111505142089267217231973097230516931534918183764727547935554808811306528890466830799608185209859899570640191948206968322278905745270553987918925705154193830873318500587053703355671623120490329635051585786462335505494460767134207123346564513972414464554286691140536015550168875738291546763118645023442345799175282221229140121457097292757344961976030008881422045650945965734743976861014242103465429191693336835960045264079441303881776979920828814220899046059359771500048584389605654323285120811135358507669446870824942875452326044025775699718623294954741062718201353271837587191042784817259509145936895910858792922530750125659010031280055875930046991021251866850764944027039821692145752224294856445406046538982940009481451521129477038777832024757829059088875122226750990140631670712648414249036764552487776885083310405919492213501046291608300538804230330909897375391346276300902005349096391640305111746859711180172759815926386301748868750094580515189154607011207221538325100699792761107828075443987664361694167894307209002963445478256803489284715573889991597253863625154253786531359524160731145704659859573847501863916181873886464467514015144403719823736403087906349300568015634178089630784123411741009732898461491291208089067616001786892347803216788689459329823300407042966674468795183345865386099499802993854276598733604645165266179211608549402041621529576512069271536194652572764881472813763048675073183941092162907757240117974733870134998105079232312202087789246957318545658789126585757915745856497013927663753336880439357883791757141111847794315595161141055984306815869334922786981766198254144743307981546668367195212684719340224704037553659150994772443009359978630588897717790604513822468942110174016983014670247061233863754273018393921260481814104700606195092392674886797147742035622921127281919242901992459507660444795276821727821507596469648777874010386410327131886678248482279619617533521836480948432590729889303496298674406338471373409092994509760998961417340201332748622544423361865584572300307825367252233397725005600292033998472066528863678405357919660212762862572074231097638014008937697060373842263546459658905107313825153702404195143343055509098284031247908814247199499184703084951363692024397666658926691295508515798694053015450203311264459015076}
30227  558171047256881727953399974124869461166458354954268592872262660306438907918113898020428: {120892,1178229,1661605,1993926,2869285,2960678,3350757,3443142,3594157,3893349,4229540,4319029,4861717,5075448,5134510,5709879,6042200,6161412,6187105,6311173,6673537,6797475,6945310,7250640,7309126,7424526,7734016,7994785,8156970,8334372,8700768,9199105,9593742,9629653,9788364,10993892,11038926,11293678,11466957,11803117,12456493,12507685,13101158,13409185,14879233,15009222,15511285,15597373,15633758,15705560,15965749,16064804,16091022,16411585,17011585,17509597,17668755,17794990,18605048,18613542,18715940,18846672,18998229,19693902,19709605,20413172,20413902,20780929,20930679,21027793,21202506,21294133,21353988,21677709,21795014,22333940,22459128,22554637,22703605,22949720,23651526,24325886,24498085,24511844,24885957,24917475,25013710,25266519,25372129,25818435,26189053,26578640,26800728,26933773,27244326,27511429,27539664,27553557,27591613,28747544,28977985,29397702,29829229,29900970,30016452,30150819,30420190,30982122,31078887,31364053,31661605,31894368,32136973,32220910,32340987,32362753,33333734,33403269,33728942,34118029,34545368,34773582,34937185,35016920,35167726,35438293,35829685,35881164,36103652,36377773,36386917,36504228,36998675,37400017,37418029,37641189,37993926,38501175,38665092,38863539,39001604,39394035,39396085,39416590,39538369,39702404,40148773,40654813,41067920,41166884,41338029,41924622,42020304,42034333,42417614,42995622,44398410,44805790,45512948,45946334,46201410,46441117,47272842,47275302,47299908,47358304,47619620,48175509,48197278,49207189,49281504,49656337,50931229,51567829,51697153,51911893,51981310,52128385,52756388,52855250,53278092,53312353,53501798,53604085,53766948,54454629,54757357,54807555,55120573,55441692,56717720,56883646,57061749,57079748,57143544,57203822,57355390,57706467,57816337,58025185,58077853,58461392,59098657,60906877,61098488,61380277,61893182,62377572,62437285,62554062,63426300,63807435,64286487,64320308,64324902,64493185,65232037,65479009,65637620,65769066,66402669,66563797,66663044,66911086,67654720,68061264,68599105,68698175,68735799,68826468,68892085,69002629,69500757,69630222,69792344,69929269,70029092,71057773,72561517,72591069,72750718,73801357,74068717,74158885,74882533,74924742,75507500,75905204,76111560,76431140,76568922,76733894,76846429,77021912,77161453,77211957,77391822,77480749,77711329,78206509,78274813,78516387,78765144,79122613,79992997,80631902,81185664,81380915,81803204,82318926,82325757,82437810,82670502,82736893,83260237,83588942,83701933,84694093,85097029,85311902,85625505,86041988,86351173,86649651,86845892,87686110,87849985,87933664,88154113,88610787,88613173,88990662,89517848,89873413,90128209,90206564,90462909,90609000,91140094,91333872,91717368,91934989,91982469,92399233,93372373,94406168,94807105,94825837,95015757,95111329,95232920,95245892,95520549,96032293,96144734,96542785,96649600,96806468,97262557,97355329,97657098,98041269,98140250,98239155,98566148,98925372,99721573,99805213,...,19845922737478995313869906231471363447752926805026365536472935337737542369043672744576992254073351413832892559457254266347469420985098209978149330205504529818206238544266943781285070345549809381877171351394488562401986656934457673490052306069272339189210439845415586480016242549029155767921504130724488317682012159280578348397098731057081964252855244289349082745569126025453422399572236581528981930224617998040329282952111130902592663506943940983086340902363276948109174886675842189841113605996389978010893622414229260829517323278660424314142829035668261331669689407256773815262103626775163127923675967514151102175212546763715881493252474997124747456953917166589243637892961271679472364137274857586295009510289699832838448113945596535819440658577265427318147059418099644364853784138662655044621540430445198614090532346592978697146492523369344946228641813741313100753271955335576615149029776396404451361828958082974740802094459996177065140997258214497455358462705841892423331654552645687551237637442295190800412676333109549686757122211223671859546479919588753491837076725758137550217937783020176764024636021211176957430628902406419854839543318067130421632109701142057474034558964927027402543068494060463943045157501148951249868326470478301239702292818554472873890628857682038744480709025886010671677148509424741892186989209185711528335156640834709159954682681669821346756527765328398970690260768721605512187629158488548360428383663343866003936837288403429559191210445850794738565487177390675662630486337176391390566840440717123696424359743035389327482992048116252713176024563084043348392180507938710808459959364368615306230734237937681622817850195294129829065063842193103356045432984108767323732679373293066612486316744630986488606248872891102944031595726194827350992895081074627646297509047387942945186774405987894332495694814137162388959601927767642237185446570232858727893920986776798566362580233840856657488368140910037155543651959178910124950633741986796926214615852705496564183753864154794381482187150600996334103224290589689227952214074009351447328318717175986785155839818625048050995405616870892062156822617537725278327453426930573019401040495215558546755537765000097527842293312466047863410256822984205741139493637789354981216007812985678280415807895763151084435191121408135252278721778931600088253351636329064031510691241753147710160478369753581292975983640674009526918817252308066243314534225058203843265000811766198653421538084235654509455376775847639134569281612990570586139506675151331537487526853335303713725572572903577579495179197667257713133900825847959645845775397302377275647091321903332213216959793335700246199412277814789849355960287922310452483418358617905830981878388557731290746309977750880580555033507434680735494452577378679693503258241691150701310685019846770958621696831430036710804023325253313607437320144677967535163518698762923331843710182185645939136017442964045013322133068476418948602115965291521363155198143787540005253940067896119161955822665469881243221331348569089039657250072876584408481484927681216703037761504170306237414313178489066038663549577934942432111594077302029907756380786564177225889263718905343866288189383796125188488515046920083813895070486531877800276147416040559732538218628336442284668109069808474410014222177281694215558166748037136743588633312683340126485210947506068972621373555146828731665327624965608879238320251569437412450808206345496364846063087019414451353008023644587460457667620289566770259139723889579452623303125141870772783731910516810832307487651049689141661742113165981496542541251841460813504445168217385205233927073360834987395880795437731380679797039286241096718556989789360771252795874272810829696701271022716605579735604604631859523950852023451267134446176185117611514599347692236936812133601424002680338521704825183034188994734950610564450011703192775018798079149249704490781414898100406967747899268817412824103062432294364768103907304291978859147322209220644573012609775911638244361635860176962100805202497157618848468303131683870435977818488183689878636873618784745520891495630005320659036825687635711667771691473392741711583976460223804002384180472649297381217114961972320002550792819027079010337056056330488726492158664514039967945883346576685906770733703413165261025474522005370591850795631409527590881890722721157050909292638589012330195721613053434381690922878864352988689261490667192915232591732261394704473166811015579615490697830017372723419429426300282754721422648886094833955244448011609507707060113639491764641498442126010301999122933816635042798376858450461738050878350096587508400438050997708099793295517608036879490319144293858111346646457021013406545590560763395319689488357660970737730553606292715014583263647426046871863221370799248777054627427045538036596499988390036943262773698041079523175304966896688522614}
30228  559899727455288656220736494377499787442952806995902348175107499706818113056811667605600: {151115,181338,513587,936107,1237667,1389338,1418507,1570972,1751426,1779971,2020787,2658568,2682371,2990889,3282971,3942707,4122467,4182371,4441017,4467676,4590856,4721147,5164713,5191132,5286925,5364386,5438507,5975771,6344310,6445466,6767264,6805538,7167371,7552750,7613172,7701765,8058971,8215216,8244386,8415107,9063300,9185747,9242118,9304187,9667520,9899368,10039706,10368707,10417965,10427771,10756826,10875960,10963689,11112496,11136789,11601024,11831426,12195971,12235455,12501558,12791656,13051152,13077371,13742365,13898387,14390613,14483867,14682546,14718568,15289276,16279417,16490838,16526747,16558389,16940517,17399267,17747771,18269987,18965267,19138907,19485971,19543787,19631950,19651737,20012296,20081005,20410067,20698427,20736026,21090338,21444506,21447227,21454696,22513833,23213186,23256310,23394925,23450637,23558340,24097206,24136533,24314627,24371771,24657371,24818056,25128896,25154101,25330972,25516465,25854707,26258536,26692485,27218536,27559067,27794906,27907572,27917425,27920313,28073910,28270008,28471984,28578227,28687150,28903612,29143307,29540853,29763971,29820347,29901338,29945504,30227197,30251906,30608771,30619758,30620853,30639805,30946187,31535368,31788467,31803759,31956707,32030982,32692521,33051266,33181276,33223300,33400538,33467627,33500910,33688692,34424580,34861427,35144738,35477289,35734304,35934430,36194771,36325768,36488829,36719552,36738076,36767766,37025771,37520565,37634027,37799747,38130971,38351627,38622338,38969306,39196936,39287987,39867960,40021936,40201092,40866489,41309496,41427371,41438516,42525824,43064771,43121316,43181710,43771150,43811738,43935107,44096553,44537692,44694971,44851455,44911787,45020147,45024678,45129565,45236771,45534338,45630285,45723707,45831827,45993947,46047971,46364776,46371947,46473183,46803467,46909826,47342147,47664971,47841552,48331365,48625946,48672304,48752005,49311386,49628005,50000601,50188252,50593413,50658568,50680538,50877371,51153718,51334900,51458605,51553456,51818052,52047386,52160373,52525380,52751589,53214827,53267771,53461177,53821746,54155478,54433826,54641507,54756342,55115771,55117372,55168427,55899496,56027072,56429771,56891185,56901587,56990889,57163427,57327496,57491738,57997638,58502406,59124885,59197880,59523866,59524525,59553606,59822771,59874707,60134267,61068301,61601880,61750326,62886933,63030456,63033736,63066544,63387587,63626421,63747107,63901067,63909026,64234012,64245338,64464971,64493433,64516187,65708672,65945485,66201827,66303707,66597615,67066787,67208685,67394173,67600538,67726667,68269422,68739227,68919501,69272738,69302115,69399913,70101107,70302371,70607906,70897150,70909263,70912953,70949862,71037456,71349685,71429430,71689264,72257987,72295917,72606172,73006907,73076740,73384597,73754027,73922256,73935746,74002667,74052371,74300771,74796971,75341867,75539771,76082332,76191392,76373110,76576667,76724507,76823027,76941956,77265971,77971965,78296987,78328117,78900506,79134582,79282875,79917138,80252697,80400385,80640347,80650422,80931971,81206306,82047025,82520738,82579067,82605397,82868771,83162538,83170096,83328805,83405416,84552971,84568400,84600947,84984467,85076580,85325469,85619622,85702187,85715316,85749971,85766536,85805733,86033085,86894387,87240430,87429338,87536365,87692088,88536892,88886027,89027747,89970707,90683738,90748352,90957371,91379147,91647732,91689878,91768624,91981466,92629466,92667676,92826971,92839773,92840296,93338867,93524771,93566358,93803387,93831093,93942587,94174427,94220771,94384375,94498667,94637507,94881505,94914971,95139450,95215706,95243533,95422907,95538925,96277390,96480462,96487353,96573707,96711467,96788092,97471106,97490747,98456430,98653599,98756738,98769227,99042371,99265309,99723971,99899656,99950771,99994566,...,29768884106218492970804859347207045171629390207539548304709403006606313553565509116865488381110027120749338839185881399521204131477647314967223995308256794727309357816400415671927605518324714072815757027091732843602979985401686510235078459103908508783815659768123379720024363823543733651882256196086732476523018238920867522595648096585622946379282866434023624118353689038180133599358354872293472895336926997060493924428166696353888995260415911474629511353544915422163762330013763284761670408994584967016340433621343891244275984917990636471214243553502391997504534110885160722893155440162744691885513951271226653262818820145573822239878712495687121185430875749883865456839441907519208546205912286379442514265434549749257672170918394803729160987865898140977220589127149466547280676207993982566932310645667797921135798519889468045719738785054017419342962720611969651129907933003364922723544664594606677042743437124462111203141689994265597711495887321746183037694058762838634997481828968531326856456163442786200619014499664324530135683316835507789319719879383130237755615088637206325326906674530265146036954031816765436145943353609629782259314977100695632448164551713086211051838447390541103814602741090695914567736251723426874802489705717451859553439227831709310835943286523058116721063538829016007515722764137112838280483813778567292502734961252063739932024022504732020134791647992598456035391153082408268281443737732822540642575495015799005905255932605144338786815668776192107848230766086013493945729505764587085850260661075685544636539614553083991224488072174379069764036844626065022588270761908066212689939046552922959346101356906522434226775292941194743597595763289655034068149476163150985599019059939599918729475116946479732909373309336654416047393589292241026489342621611941469446263571081914417780161608981841498743542221205743583439402891651463355778169855349288091840881480165197849543870350761284986232552211365055733315477938768365187425950612980195389321923779058244846275630796232191572223280725901494501154836435884533841928321111014027170992478075763980177733759727937572076493108425306338093235233926306587917491180140395859529101560742823337820133306647500146291763439968699071795115385234476308611709240456684032471824011719478517420623711843644726626652786682112202878418082668397400132380027454493596047266036862629721565240717554630371939463975461011014290378225878462099364971801337587305764897501217649297980132307126353481764183065163771458701853922419485855879209260012726997306231290280002955570588358859355366369242768796500886569700851238771939468768663095953565913470636982854998319825439690003550369299118416722184774033940431883465678725127537926858746472817582836596936119464966626320870832550261152021103241678866068019540254887362536726051966027529770156437932545247145055066206034987879970411155980217016951302745278048144384997765565273278468908704026164446067519983199602714628422903173947937282044732797215681310007880910101844178742933733998204821864831997022853633559485875109314876612722227391521825054556642256255459356121469767733599057995324366902413648167391115953044861634571179846265838833895578358015799432284075694187782732772570380125720842605729797816700414221124060839598807327942504663427002163604712711615021333265922541323337250122055705115382949969025010189727816421259103458932060332720243097497991437448413318857480377354156118676212309518244547269094630529121677029512035466881190686501430434350155388709585834369178934954687712806159175597865775216248461231476574533712492613169748972244813811877762191220256667752326077807850890610041252481093821193156597071019695558929361645077835484684041156879193811409216244545051906534074908369603406906947789285926278035176900701669264277676417271899021538355405218200402136004020507782557237774551283492102425915846675017554789162528197118723874556736172122347150610451621848903226119236154593648441547152155860956437968288720983313830966859518914663867457366542453790265443151207803745736428272702454697525805653966727732275534817955310428177118281337243445007980988555238531453567501657537210089112567375964690335706003576270708973946071825672442958480003826189228540618515505584084495733089738237996771059951918825019865028860156100555119747891538211783008055887776193447114291386322836084081735576363938957883518495293582419580151572536384318296529483033892236000789372848887598392092056709750216523369423236046745026059085129144139450424132082133973329142250932866672017414261560590170459237646962247663189015452998684400724952564197565287675692607076317525144881262600657076496562149689943276412055319235478716440787167019969685531520109818385841145092979534232536491456106595830409439072521874895471139070307794832056198873165581941140568307054894749982585055414894160547061619284762957450345032783921}
30229  561633730359015370493083099102440928962503851778799802546115853550992196106701683619995: {241784,272007,1963715,2084007,2326247,2356458,2627139,3323210,3987852,4016999,5104307,5584595,5738570,5921356,6488915,6701514,6886284,7188314,7458659,7786698,8046579,8459080,8638058,8661947,9516465,9668199,9723434,10150896,10208307,10269020,10293767,11192699,11329125,11380499,11419758,12084400,12283667,12322824,12366579,12374210,12622346,12878747,13191719,13347074,13594950,13863177,13890620,14501280,14618252,14849052,15059559,15468032,15905387,15989570,16135239,16313940,16629731,16668744,17401536,17510759,17747139,18398210,18433259,18752337,18772859,19111595,19187484,19259306,19576728,21715799,21987784,22023819,22053539,22077852,22587356,22933914,22976219,23501651,23606234,23816219,24736257,24912986,25015370,25673819,26190791,26202316,26818370,27121931,27593447,29447925,29758466,30018444,30950699,31022570,31104039,31194746,31267516,31411120,31635507,31663715,31785047,31931498,32129608,32166759,32182044,32513507,32823170,34023170,34297319,34594667,34819779,34884465,35019194,35337510,35589980,36100691,36129515,36145809,37210096,37227084,37402499,37431880,37693344,37980059,37996458,39387804,39419210,40321307,40468619,40569179,40657511,40826344,40827804,41476595,41529125,41561858,41692359,41800019,41861358,41881619,42037127,42055586,42110865,42405012,42588266,42707976,43030725,43355418,43590028,44221307,44326247,44667880,44852007,44918256,45109274,45377859,45407210,45899440,45922595,45929637,46444199,47303052,48046473,48651772,48912059,48996170,49023688,49576899,49676939,49771914,49834950,50027420,50100807,50161559,50251365,50533038,50593307,50744258,51636870,51798145,52378106,52717107,52720859,53157280,53315891,53601456,53867546,53901645,54488652,55022858,55079328,55107114,55124231,55151649,55154519,55183226,55498259,55672115,55780859,56989067,57495088,57779171,57933507,57955970,58453959,58548419,58795404,59102579,59658458,59801940,60032904,60301638,60840380,60910919,61199399,61350419,61964244,62157774,62728106,62735315,63323210,63788736,64168625,64273946,64441820,64618259,64681974,64725506,64772565,65656725,65717607,65780339,66667468,66806538,67173179,67457884,67537017,68236058,68301507,68673107,68896715,69090736,69547164,69874370,70033840,70335452,70364739,70876586,71314007,71659370,71762328,72207304,72755546,72773834,72938919,72979739,73008456,73761431,73967079,73997350,74800034,74836058,75045719,75282378,75453179,75542291,75987852,76020807,76730577,77002350,77330184,77727078,78003208,78071079,78788070,78792170,78833180,79076738,79404808,79417511,80292515,80297546,80732619,81233217,81235259,81309626,81351419,81650739,82134513,82135840,82333768,82676058,83070731,83849244,84040608,84068666,84679739,84835228,85991244,86237607,86239271,86772839,86996457,87412199,87753609,88020299,88497539,88796820,89272007,89285799,89330409,89611580,89899739,90290459,90757715,90818507,91025896,91345925,91892668,92402820,92464739,92625489,92882234,93055559,94233707,94524707,94545684,94550604,94599816,94716608,95102915,95117651,95239240,95863539,96038747,96177445,96351018,96368007,96394556,96448919,97523051,98414378,98563008,99129179,99312674,99811847,...,39691845474957990627739812462942726895505853610052731072945870675475084738087345489153984508146702827665785118914508532694938841970196419956298660411009059636412477088533887562570140691099618763754342702788977124803973313868915346980104612138544678378420879690831172960032485098058311535843008261448976635364024318561156696794197462114163928505710488578698165491138252050906844799144473163057963860449235996080658565904222261805185327013887881966172681804726553896218349773351684379682227211992779956021787244828458521659034646557320848628285658071336522663339378814513547630524207253550326255847351935028302204350425093527431762986504949994249494913907834333178487275785922543358944728274549715172590019020579399665676896227891193071638881317154530854636294118836199288729707568277325310089243080860890397228181064693185957394292985046738689892457283627482626201506543910671153230298059552792808902723657916165949481604188919992354130281994516428994910716925411683784846663309105291375102475274884590381600825352666219099373514244422447343719092959839177506983674153451516275100435875566040353528049272042422353914861257804812839709679086636134260843264219402284114948069117929854054805086136988120927886090315002297902499736652940956602479404585637108945747781257715364077488961418051772021343354297018849483784373978418371423056670313281669418319909365363339642693513055530656797941380521537443211024375258316977096720856767326687732007873674576806859118382420891701589477130974354781351325260972674352782781133680881434247392848719486070778654965984096232505426352049126168086696784361015877421616919918728737230612461468475875363245635700390588259658130127684386206712090865968217534647465358746586133224972633489261972977212497745782205888063191452389654701985790162149255292595018094775885890373548811975788664991389628274324777919203855535284474370893140465717455787841973553597132725160467681713314976736281820074311087303918357820249901267483973593852429231705410993128367507728309588762964374301201992668206448581179378455904428148018702894656637434351973570311679637250096101990811233741784124313645235075450556654906853861146038802080990431117093511075530000195055684586624932095726820513645968411482278987275578709962432015625971356560831615791526302168870382242816270504557443557863200176506703272658128063021382483506295420320956739507162585951967281348019053837634504616132486629068450116407686530001623532397306843076168471309018910753551695278269138563225981141172279013350302663074975053706670607427451145145807155158990358395334515426267801651695919291691550794604754551294182643806664426433919586671400492398824555629579698711920575844620904966836717235811661963756777115462581492619955501761161110067014869361470988905154757359387006516483382301402621370039693541917243393662860073421608046650506627214874640289355935070327037397525846663687420364371291878272034885928090026644266136952837897204231930583042726310396287575080010507880135792238323911645330939762486442662697138178079314500145753168816962969855362433406075523008340612474828626356978132077327099155869884864223188154604059815512761573128354451778527437810687732576378767592250376977030093840167627790140973063755600552294832081119465076437256672884569336218139616948820028444354563388431116333496074273487177266625366680252970421895012137945242747110293657463330655249931217758476640503138874824901616412690992729692126174038828902706016047289174920915335240579133540518279447779158905246606250283741545567463821033621664614975302099378283323484226331962993085082503682921627008890336434770410467854146721669974791761590875462761359594078572482193437113979578721542505591748545621659393402542045433211159471209209263719047901704046902534268892352370235223029198695384473873624267202848005360677043409650366068377989469901221128900023406385550037596158298499408981562829796200813935495798537634825648206124864588729536207814608583957718294644418441289146025219551823276488723271720353924201610404994315237696936606263367740871955636976367379757273747237569491041782991260010641318073651375271423335543382946785483423167952920447608004768360945298594762434229923944640005101585638054158020674112112660977452984317329028079935891766693153371813541467406826330522050949044010741183701591262819055181763781445442314101818585277178024660391443226106868763381845757728705977378522981334385830465183464522789408946333622031159230981395660034745446838858852600565509442845297772189667910488896023219015414120227278983529282996884252020603998245867633270085596753716900923476101756700193175016800876101995416199586591035216073758980638288587716222693292914042026813091181121526790639378976715321941475461107212585430029166527294852093743726442741598497554109254854091076073192999976780073886525547396082159046350609933793377045228}
30230  563373072261718794350458190573075413723342473186504213195968376470540167726081313607201: {211561,302230,362676,574009,1027174,1298041,1840309,1872214,2475334,2778676,2837014,2922901,3141944,3502852,3534687,3559942,3823081,4041574,4182649,4984815,5317136,5364742,5981778,6565942,7227349,7401695,7885414,8118889,8244934,8364742,8475001,8607855,8882034,8935352,9181712,9364021,9442294,10052271,10329426,10382264,10428469,10573850,10728772,10782471,10877014,10959721,11313529,11680047,11843701,11951542,12688620,12836275,12890932,12957087,13534528,13611076,14334742,14585151,15105500,15226344,15403530,16117942,16236601,16430432,16488772,16830214,17129637,17363275,17807029,18126600,18272815,18329209,18371494,18484236,18561315,18608374,18676969,18933519,19024441,19239311,19335040,19545109,19798736,20020611,20079412,20392425,20737414,20835930,20855542,21513652,21751920,21927378,22224992,22273578,22311061,23171641,23202048,23662852,23984355,24373429,24391942,24470910,25003116,25583312,25913401,26102304,26154742,26936809,27484730,27597315,27796774,28113407,28234195,28781226,28888959,28967734,29365092,29437136,29483989,29822389,30329449,30578552,30667129,31004521,31846741,32558834,32752895,32855029,32981676,33053494,33116778,33525781,33881034,34028089,34400871,34798534,35197621,35409351,35495542,35723051,36539974,37369479,37523055,37526101,37691881,37930534,38188789,38277814,38971942,39084395,39087574,39263900,39303474,40024592,40162010,40192207,40227555,40820134,40992361,41396854,41472052,41976889,42180676,42304489,42889012,42894454,42895727,42909392,44264041,44487475,44637699,44914921,45027666,46051189,46426372,46512620,46533855,46537081,46789850,46792119,46901274,47116680,47345461,47897247,48194412,48273066,48313141,48629254,48743542,49234755,49314742,49636112,49920181,50257792,50308202,50661944,50721001,51032930,51034755,51200629,51709414,52517072,52528791,53006265,53271529,53384970,54437072,54487535,54698101,55118134,55172329,55589812,55815144,55834850,55840626,56147820,56540016,56748409,56943968,56994687,57156454,57219829,57374300,57807224,58286614,59081706,59128815,59527942,59640694,59802676,59878969,59891008,60190441,60454394,60503812,60657109,60814715,61123129,61217542,61239516,61241706,61279610,61743481,61892374,62342787,62534275,62792037,63070736,63083379,63181391,63443509,63576934,63607518,63882399,63905641,63913414,64061964,64520809,65033127,65385042,65441401,66102532,66359401,66362552,66446600,66801076,66935254,67001820,67377384,67663911,67731541,68110815,68252807,68491321,68849160,69479207,69722854,70289476,70307449,70759861,70954578,71468608,71868860,72042047,72389542,72651536,72977658,73012201,73439104,73476152,73494255,73535532,74051542,74057749,74657871,74752425,75041130,75268054,75545269,75599494,75799557,76050475,76116387,76261942,76703254,76877881,77244676,77455305,77615701,77938612,78393872,78567159,78575974,79647659,79735920,80043872,80402184,80548981,80552275,80801319,80986489,81732978,82018079,82150009,82534287,82618992,82660671,82774839,82854742,82877032,83334335,84322355,84607189,85051648,85612921,85756309,86129542,86186041,86242632,86363420,86727251,86933955,87542300,87623476,87870214,87919315,88182889,88193106,89075384,89389942,89487687,89702910,89823574,90040294,90049356,90259130,90452457,90473542,91011049,91068676,91260570,91447414,91663654,91987894,92095942,92323679,92729552,92743894,92946366,93236661,93531769,93606934,93819652,93949621,94092159,94227829,94644601,94684294,94984815,95329942,95476201,95683104,96410919,96662730,97022961,97088259,97251892,97344608,97504010,97543861,97955449,98541475,98622772,98913301,99256010,99889559,...,59537768212436985941609718694414090343258780415079096609418806013212627107131018233730976762220054241498677678371762799042408262955294629934447990616513589454618715632800831343855211036649428145631514054183465687205959970803373020470156918207817017567631319536246759440048727647087467303764512392173464953046036477841735045191296193171245892758565732868047248236707378076360267198716709744586945790673853994120987848856333392707777990520831822949259022707089830844327524660027526569523340817989169934032680867242687782488551969835981272942428487107004783995009068221770321445786310880325489383771027902542453306525637640291147644479757424991374242370861751499767730913678883815038417092411824572758885028530869099498515344341836789607458321975731796281954441178254298933094561352415987965133864621291335595842271597039778936091439477570108034838685925441223939302259815866006729845447089329189213354085486874248924222406283379988531195422991774643492366075388117525677269994963657937062653712912326885572401238028999328649060271366633671015578639439758766260475511230177274412650653813349060530292073908063633530872291886707219259564518629954201391264896329103426172422103676894781082207629205482181391829135472503446853749604979411434903719106878455663418621671886573046116233442127077658032015031445528274225676560967627557134585005469922504127479864048045009464040269583295985196912070782306164816536562887475465645081285150990031598011810511865210288677573631337552384215696461532172026987891459011529174171700521322151371089273079229106167982448976144348758139528073689252130045176541523816132425379878093105845918692202713813044868453550585882389487195191526579310068136298952326301971198038119879199837458950233892959465818746618673308832094787178584482052978685243223882938892527142163828835560323217963682997487084442411487166878805783302926711556339710698576183681762960330395699087740701522569972465104422730111466630955877536730374851901225960390778643847558116489692551261592464383144446561451802989002309672871769067683856642222028054341984956151527960355467519455875144152986216850612676186470467852613175834982360280791719058203121485646675640266613295000292583526879937398143590230770468952617223418480913368064943648023438957034841247423687289453253305573364224405756836165336794800264760054908987192094532073725259443130481435109260743878927950922022028580756451756924198729943602675174611529795002435298595960264614252706963528366130327542917403707844838971711758418520025453994612462580560005911141176717718710732738485537593001773139401702477543878937537326191907131826941273965709996639650879380007100738598236833444369548067880863766931357450255075853717492945635165673193872238929933252641741665100522304042206483357732136039080509774725073452103932055059540312875865090494290110132412069975759940822311960434033902605490556096288769995531130546556937817408052328892135039966399205429256845806347895874564089465594431362620015761820203688357485867467996409643729663994045707267118971750218629753225444454783043650109113284512510918712242939535467198115990648733804827296334782231906089723269142359692531677667791156716031598864568151388375565465545140760251441685211459595633400828442248121679197614655885009326854004327209425423230042666531845082646674500244111410230765899938050020379455632842518206917864120665440486194995982874896826637714960754708312237352424619036489094538189261058243354059024070933762381373002860868700310777419171668738357869909375425612318351195731550432496922462953149067424985226339497944489627623755524382440513335504652155615701781220082504962187642386313194142039391117858723290155670969368082313758387622818432489090103813068149816739206813813895578571852556070353801403338528555352834543798043076710810436400804272008041015565114475549102566984204851831693350035109578325056394237447749113472344244694301220903243697806452238472309187296883094304311721912875936577441966627661933719037829327734914733084907580530886302415607491472856545404909395051611307933455464551069635910620856354236562674486890015961977110477062907135003315074420178225134751929380671412007152541417947892143651344885916960007652378457081237031011168168991466179476475993542119903837650039730057720312201110239495783076423566016111775552386894228582772645672168163471152727877915767036990587164839160303145072768636593058966067784472001578745697775196784184113419500433046738846472093490052118170258288278900848264164267946658284501865733344034828523121180340918475293924495326378030905997368801449905128395130575351385214152635050289762525201314152993124299379886552824110638470957432881574334039939371063040219636771682290185959068465072982912213191660818878145043749790942278140615589664112397746331163882281136614109789499965170110829788321094123238569525914900690065567842}
30231  565117769506643227302876799810978821754280405936022271014615133026973292800346876980967: {453345,483568,544014,1540761,2749201,2808321,3473345,3713001,3927430,4168014,4255521,4378565,4652494,4712916,5254278,5339913,5647961,6062361,6646420,7639841,7818433,7975704,8033998,8047113,8726933,8972667,9084481,9848913,10208614,11169190,11477140,11828121,11842712,12165361,12367401,12547113,12977830,13323051,13403028,13410965,13772568,14163441,14376628,14517061,14917318,15494139,15573396,15860775,16093158,16113665,16315521,16918160,17013845,17276116,17323894,17776609,17927313,18881875,19032930,19336398,19446868,19574489,20301792,20416614,20538040,20587534,20610965,21502113,22385398,22658250,22760998,22839516,23105295,24168800,24176913,24567334,24645648,24648073,24733158,24748420,25099265,25244692,25245321,25757494,26383438,26694148,26756233,26892065,27175061,27189900,27515081,27557241,27726354,27781240,27912561,28992409,29002560,29236504,29578565,29698104,30119118,30936064,30952753,31106121,31253895,31283313,31810774,31979140,32270478,32604041,32627880,32891067,33259462,33337488,33410367,33462209,34803072,35021518,35443001,35494278,35861429,36587913,36706365,36796420,36866518,37504674,37545718,38223190,38374968,38518612,39153456,39232113,41227095,41695161,41802793,42664453,43171839,43358249,43431598,43451601,43975568,44047638,44107078,44155704,44329201,45174712,45229633,45867828,45952438,47003302,47212468,47632438,48838251,49079875,49213721,49286369,49472514,49580241,49675167,49680241,49825972,50030740,50581321,50821551,51347638,51704021,51840065,52197801,52381582,52404632,52725845,53243313,53611265,53636740,54243862,54809961,55186894,56895801,56992849,57179441,57416721,58032965,58067233,58140775,58457913,58631361,58895850,58923313,58955211,59516932,60036888,60243015,61230201,61653593,61901398,62045140,62095281,62208078,62343313,62389492,62535032,62586241,62822240,63090929,63271014,63327430,63570094,63862996,64259216,64291633,64333518,64341681,64364088,65027014,65487701,65646340,66572633,67541499,68010181,68046340,68594638,69189334,69487265,69639558,69768930,70038388,70184775,70351911,70675020,71179960,71717875,72201382,72259030,72291618,72409599,72496433,72517403,72943881,73115313,73972113,74420192,74454168,74753345,74804998,74863760,75386688,75462303,75629765,75960118,75992916,76549395,77564121,77721653,77940961,78775608,78838420,80077455,80642614,80937238,81138358,81315022,81652688,81655608,82628165,82677201,82953190,83058250,83123716,83384718,83501345,83600038,83722716,83752275,83760939,83763238,84074254,84111172,84221730,84810024,85176532,85303433,85415952,85734681,86061450,86710836,87180056,87429921,87676409,87829441,87861845,88442614,88622559,88652494,89277253,89291913,89335760,89461041,89704014,89836075,89836512,90218548,90519721,90681591,90755718,90814420,91798880,91826313,91845190,91859274,91862559,91919415,92838561,92888398,94182113,94606104,94753721,95365401,95411277,95870121,96092946,96099721,96454721,96455401,96555845,97303544,97423265,97824118,97992340,98047376,98077563,98601653,99153798,99353878,99543828,99669900,...,89306652318655478912414578041621135514888170622618644914128209019818940660696527350596465143330081362248016517557644198563612394432941944901671985924770384181928073449201247015782816554974142218447271081275198530808939956205059530705235377311725526351446979304370139160073091470631200955646768588260197429569054716762602567786944289756868839137848599302070872355061067114540400798075064616880418686010780991181481773284500089061666985781247734423888534060634746266491286990041289854285011226983754901049021300864031673732827954753971909413642730660507175992513602332655482168679466320488234075656541853813679959788456460436721466719636137487061363556292627249651596370518325722557625638617736859138327542796303649247773016512755184411187482963597694422931661767381448399641842028623981947700796931937003393763407395559668404137159216355162052258028888161835908953389723799010094768170633993783820031128230311373386333609425069982796793134487661965238549113082176288515904992445486905593980569368490328358601857043498992973590407049950506523367959159638149390713266845265911618975980720023590795438110862095450296308437830060828889346777944931302086897344493655139258633155515342171623311443808223272087743703208755170280624407469117152355578660317683495127932507829859569174350163190616487048022547168292411338514841451441335701877508204883756191219796072067514196060404374943977795368106173459247224804844331213198467621927726485047397017715767797815433016360447006328576323544692298258040481837188517293761257550781983227056633909618843659251973673464216523137209292110533878195067764812285724198638069817139658768878038304070719567302680325878823584230792787289868965102204448428489452956797057179818799756188425350839439198728119928009963248142180767876723079468027864835824408338790713245743253340484826945524496230626663617230750318208674954390067334509566047864275522644440495593548631611052283854958697656634095167199946433816305095562277851838940586167965771337174734538826892388696574716669842177704483503464509307653601525784963333042081512977434227291940533201279183812716229479325275919014279705701778919763752473540421187578587304682228470013460399919942500438875290319906097215385346155703428925835127721370052097415472035158435552261871135530934179879958360046336608635254248005192200397140082363480788141798110587889164695722152663891115818391926383033042871134677635386298094915404012761917294692503652947893940396921379060445292549195491314376105561767258457567637627780038180991918693870840008866711765076578066099107728306389502659709102553716315818406305989287860697740411910948564994959476319070010651107897355250166554322101821295650397036175382613780576239418452748509790808358394899878962612497650783456063309725036598204058620764662087610178155898082589310469313797635741435165198618104963639911233467940651050853908235834144433154993296695819835406726112078493338202559949598808143885268709521843811846134198391647043930023642730305532536228801201994614465594495991068560900678457625327944629838166682174565475163669926768766378068364409303200797173985973100707240944502173347859134584903713539538797516501686735074047398296852227082563348198317711140377162527817189393450101242663372182518796421983827513990281006490814138134845063999797767623970011750366167115346148849907075030569183449263777310376796180998160729292493974312345239956572441132062468356028636928554733641807283891587365031088536106400643572059504291303050466166128757503107536804864063138418477526793597325648745383694429723601137477839509246916734441435633286573660770003256978233423552671830123757443281463579469791213059086676788084935233506454052123470637581434227648733635155719602224725108810220720843367857778834105530702105007792833029251815697064615066215654601206408012061523347671713323653850476307277747540025052664367487584591356171623670208516367041451831354865546709678357708463780945324641456467582869313904866162949941492900578556743991602372099627361370796329453623411237209284818107364092577416961900183196826604453865931284531354844011730335023942965665715594360702504972611630267337702127894071007118010728812126921838215477017328875440011478567685621855546516752253487199269214713990313179855756475059595086580468301665359243674614635349024167663328580341342874158968508252245206729091816873650555485880747258740454717609152954889588449101676708002368118546662795176276170129250649570108269708140235078177255387432418351272396246401919987426752798600016052242784681770511377712940886742989567046358996053202174857692592695863027077821228952575434643787801971229489686449069829829236165957706436149322361501059909056594560329455157523435278938602697609474368319787491228317217565624686413417210923384496168596619496745823421704921164684249947755166244682481641184857854288872351035098351763}
30232  566867838486770378279056180675719544931981750582322626814845251859954115945973469174282: {423122,604460,725352,816021,875887,1148018,2054348,2141431,2596082,3403447,3680618,3744428,4950668,5200207,5557352,5674028,5845802,5891145,6252021,6283888,6978741,7005704,7069374,7119884,7646162,7881417,8083148,8308025,8365298,9305431,9969630,10362373,10547287,10634272,10724407,10729484,11963556,12050997,13131884,13196527,14251687,14346425,14454698,14602831,14803390,15129007,15312921,15770828,16237778,16489868,16703647,16729484,16753785,16878247,16950002,17215710,17750167,17764068,17870704,17970785,18363424,18728042,18884588,19466745,19488607,20104542,20658852,20701231,20764528,20856938,21147700,21457544,21564942,21595145,21754028,21919442,22375977,22627058,23360094,23687402,23803207,23903084,24139737,24146431,24308585,25377240,25581941,25672550,25781864,25914174,25985841,27069056,27222152,27222487,28549395,28669484,29004597,29170302,30106231,30211000,30452688,30624921,30807060,30881301,30935525,31555865,32129287,32235884,32297407,32473202,32860864,32977544,33367685,33578097,33660428,33987375,34141497,34259274,34726550,35478007,35614058,36253200,36545630,36658418,36742988,36851001,36968472,37099737,37122630,37141567,37216748,37353938,37867038,38048882,38478622,38636241,38670080,39090218,39293431,39527873,39575157,39597472,39623407,39973925,40041222,40158824,40784850,41433127,41474828,41589531,41671860,41711084,42580231,43027304,43503840,43854756,44449984,44547156,44622122,45026431,45178677,45351367,45838231,45854053,45995525,46162447,46343282,46404096,47325704,47499881,47716161,47968710,48148265,48405717,48746858,48783884,48941820,49388767,49889193,50006232,51166624,51789607,51826802,52204608,52309484,52532277,53241417,53873618,54174247,54718153,54969460,55123567,55194630,55299777,55593548,56226814,56257011,56318577,56468390,56542687,57334785,57562452,57777918,57935468,58269247,58582231,58730184,58874272,58967978,59015585,59644778,60658898,61157104,61334258,62006047,62009042,62282465,62538425,63693482,65117668,65147397,65241727,65505790,65710058,65963352,66071457,66106988,66160617,66233556,66313231,67045925,67051562,67381207,67762068,67837831,68056178,68293807,68801742,68928657,69597068,70111231,70395242,70413127,70504953,70818702,70991084,71317087,71446102,71448657,72368431,73079948,74162527,74208771,74396165,74738958,75046110,75052202,75383762,75649687,75861068,76282549,76377578,76555628,76834231,77021457,77556425,77943884,77986865,78168790,78175148,78527800,78572373,78606948,79336087,79828745,80049184,80324020,80384414,80455110,81365793,81640268,81984722,82057925,82687831,82780341,82793708,82944104,83844727,83953778,84010421,84361352,84608978,85057925,85140601,85778024,85788908,85791454,85818784,87002431,87547985,87715231,88343775,88528082,88974950,89275398,89560087,89829842,90055332,90548431,92102378,92374567,92852097,92852744,93025240,93067710,93074162,93312117,93579700,93584238,93802548,94233360,94327567,94466527,94690922,94906521,94991145,95355141,95794494,95964473,96388824,96500277,96546132,96626282,96930457,97230607,97258508,97487084,97505431,97540521,98469510,98548025,98601847,98629484,99272224,99840362,...,119075536424873971883219437388828180686517560830158193218837612026425254214262036467461953524440108482997355356743525598084816525910589259868895981233027178909237431265601662687710422073298856291263028108366931374411919941606746040940313836415634035135262639072493518880097455294174934607529024784346929906092072955683470090382592386342491785517131465736094496473414756152720534397433419489173891581347707988241975697712666785415555981041663645898518045414179661688655049320055053139046681635978339868065361734485375564977103939671962545884856974214009567990018136443540642891572621760650978767542055805084906613051275280582295288959514849982748484741723502999535461827357767630076834184823649145517770057061738198997030688683673579214916643951463592563908882356508597866189122704831975930267729242582671191684543194079557872182878955140216069677371850882447878604519631732013459690894178658378426708170973748497848444812566759977062390845983549286984732150776235051354539989927315874125307425824653771144802476057998657298120542733267342031157278879517532520951022460354548825301307626698121060584147816127267061744583773414438519129037259908402782529792658206852344844207353789562164415258410964362783658270945006893707499209958822869807438213756911326837243343773146092232466884254155316064030062891056548451353121935255114269170010939845008254959728096090018928080539166591970393824141564612329633073125774950931290162570301980063196023621023730420577355147262675104768431392923064344053975782918023058348343401042644302742178546158458212335964897952288697516279056147378504260090353083047632264850759756186211691837384405427626089736907101171764778974390383053158620136272597904652603942396076239758399674917900467785918931637493237346617664189574357168964105957370486447765877785054284327657671120646435927365994974168884822974333757611566605853423112679421397152367363525920660791398175481403045139944930208845460222933261911755073460749703802451920781557287695116232979385102523184928766288893122903605978004619345743538135367713284444056108683969912303055920710935038911750288305972433701225352372940935705226351669964720561583438116406242971293351280533226590000585167053759874796287180461540937905234446836961826736129887296046877914069682494847374578906506611146728448811513672330673589600529520109817974384189064147450518886260962870218521487757855901844044057161512903513848397459887205350349223059590004870597191920529228505413927056732260655085834807415689677943423516837040050907989224925161120011822282353435437421465476971075186003546278803404955087757875074652383814263653882547931419993279301758760014201477196473666888739096135761727533862714900510151707434985891270331346387744477859866505283483330201044608084412966715464272078161019549450146904207864110119080625751730180988580220264824139951519881644623920868067805210981112192577539991062261093113875634816104657784270079932798410858513691612695791749128178931188862725240031523640407376714971734935992819287459327988091414534237943500437259506450888909566087300218226569025021837424485879070934396231981297467609654592669564463812179446538284719385063355335582313432063197729136302776751130931090281520502883370422919191266801656884496243358395229311770018653708008654418850846460085333063690165293349000488222820461531799876100040758911265685036413835728241330880972389991965749793653275429921509416624474704849238072978189076378522116486708118048141867524762746005721737400621554838343337476715739818750851224636702391463100864993844925906298134849970452678995888979255247511048764881026671009304311231403562440165009924375284772626388284078782235717446580311341938736164627516775245636864978180207626136299633478413627627791157143705112140707602806677057110705669087596086153421620872801608544016082031130228951098205133968409703663386700070219156650112788474895498226944688489388602441806487395612904476944618374593766188608623443825751873154883933255323867438075658655469829466169815161061772604831214982945713090809818790103222615866910929102139271821241712708473125348973780031923954220954125814270006630148840356450269503858761342824014305082835895784287302689771833920015304756914162474062022336337982932358952951987084239807675300079460115440624402220478991566152847132032223551104773788457165545291344336326942305455755831534073981174329678320606290145537273186117932135568944003157491395550393568368226839000866093477692944186980104236340516576557801696528328535893316569003731466688069657046242360681836950587848990652756061811994737602899810256790261150702770428305270100579525050402628305986248598759773105648221276941914865763148668079878742126080439273543364580371918136930145965824426383321637756290087499581884556281231179328224795492662327764562273228219578999930340221659576642188246477139051829801380131135684}
30233  568623295644969850417882078257150927912540256926764683924518630244954008165105410335095: {634683,755575,906690,967136,1088028,1722027,2567935,3081522,3655531,3894123,4680535,4862683,5498402,5520927,5616642,6129991,6188335,6312427,6674863,6946690,7092535,7426002,7854860,8336028,8511042,8757130,8768703,8899855,9028903,9304988,9425832,9753631,10103935,10508556,10604061,10679826,11295922,11469243,12124722,12547947,13292840,13411855,13611631,14882191,14954445,15279682,15636866,15951408,15968923,16067996,16094226,16414855,17453866,17588527,17945334,18168962,18775351,19697826,19713535,20130727,20238031,20417228,20612335,20911855,21682047,22205085,22338380,22559131,22954280,23133487,23605735,23656242,23685424,23819383,24105031,24330722,24356667,24734802,25094226,25425003,25823565,25955660,26434625,26646102,26806056,26821930,27192535,27516907,27545136,28092063,28326882,28449367,28753256,28855351,29034122,29500207,29834636,29878855,30156813,30372127,30988278,31146792,31285407,31721550,32186316,32227330,32347413,32517823,32631042,32879163,33836320,33940587,34027690,34124827,34552232,34647788,35040141,35138971,35531103,35553218,35836855,35854626,36105487,37425487,37610767,37648891,37763750,38065860,38334631,38508825,38672796,38871261,38893736,39148978,39546247,40294855,40473991,40603584,40833228,41076080,41175068,41221930,41409991,41887183,42075535,42517663,43004226,43361131,43755453,44770796,45316500,45521996,45679032,45928735,46210590,46520935,48337600,48353826,48709803,49134668,49216987,49291296,49296146,49466316,49496840,49666231,49947931,50198530,50489384,50490642,50600023,51241567,51388911,51514988,51843535,52089825,52138855,52727863,52766876,53388296,53421087,53512466,53784130,53895787,54350122,54379800,54768271,54818445,54987627,55030162,55114482,55452708,55562480,55683945,55825122,56030907,56800557,57073323,57717933,57786847,57827863,57984818,58005120,58247527,58473008,58556191,58635327,59157130,59396208,60061833,60238236,60979855,61177275,61872128,61905506,62043847,62212242,62507790,62566626,63621548,63751567,63958280,64540956,64962151,65208082,65255760,65386855,65492047,65782134,65789071,66518924,66577051,66674976,66820734,66924418,66933183,67182103,67575703,68682223,68711825,69491935,69514923,69606144,69655531,69943207,70043036,70886002,70988556,71722858,71953065,72419335,72576091,72891727,73120287,73175826,73412730,73592840,73733036,73816183,74083483,74562007,75009348,75055771,75061303,75091436,76446380,76749936,76861807,77037224,77496187,77740203,78222103,78306912,78464226,78825307,80227471,80810427,81246151,81397085,82454190,82633735,82791945,83081767,83390322,83605586,84340221,84702585,85328906,86343678,86666877,86671387,86716498,86863196,86903202,86996335,87951136,88095276,88171687,88214156,88311408,88451967,88658402,88738855,89467167,90146167,90349424,90459266,90988347,91349935,91735656,91904876,91953307,92001387,92477023,93013563,93390991,94006604,94424936,94826335,94844731,95264876,95339131,95540223,95694535,96136987,97282171,97374727,97429855,97536007,97676502,97718935,98159750,98258685,98427442,98565087,98572738,98608207,98945028,99160482,99350334,99360482,99651944,...,178613304637310957824829156083242271029776341245237289828256418039637881321393054701192930286660162724496033035115288397127224788865883889803343971849540768363856146898402494031565633109948284436894542162550397061617879912410119061410470754623451052702893958608740278320146182941262401911293537176520394859138109433525205135573888579513737678275697198604141744710122134229080801596150129233760837372021561982362963546569000178123333971562495468847777068121269492532982573980082579708570022453967509802098042601728063347465655909507943818827285461321014351985027204665310964337358932640976468151313083707627359919576912920873442933439272274974122727112585254499303192741036651445115251277235473718276655085592607298495546033025510368822374965927195388845863323534762896799283684057247963895401593863874006787526814791119336808274318432710324104516057776323671817906779447598020189536341267987567640062256460622746772667218850139965593586268975323930477098226164352577031809984890973811187961138736980656717203714086997985947180814099901013046735918319276298781426533690531823237951961440047181590876221724190900592616875660121657778693555889862604173794688987310278517266311030684343246622887616446544175487406417510340561248814938234304711157320635366990255865015659719138348700326381232974096045094336584822677029682902882671403755016409767512382439592144135028392120808749887955590736212346918494449609688662426396935243855452970094794035431535595630866032720894012657152647089384596516080963674377034587522515101563966454113267819237687318503947346928433046274418584221067756390135529624571448397276139634279317537756076608141439134605360651757647168461585574579737930204408896856978905913594114359637599512376850701678878397456239856019926496284361535753446158936055729671648816677581426491486506680969653891048992461253327234461500636417349908780134669019132095728551045288880991187097263222104567709917395313268190334399892867632610191124555703677881172335931542674349469077653784777393149433339684355408967006929018615307203051569926666084163025954868454583881066402558367625432458958650551838028559411403557839527504947080842375157174609364456940026920799839885000877750580639812194430770692311406857851670255442740104194830944070316871104523742271061868359759916720092673217270508496010384400794280164726961576283596221175778329391444305327782231636783852766066085742269355270772596189830808025523834589385007305895787880793842758120890585098390982628752211123534516915135275255560076361983837387741680017733423530153156132198215456612779005319418205107432631636812611978575721395480823821897129989918952638140021302215794710500333108644203642591300794072350765227561152478836905497019581616716789799757925224995301566912126619450073196408117241529324175220356311796165178620938627595271482870330397236209927279822466935881302101707816471668288866309986593391639670813452224156986676405119899197616287770537419043687623692268396783294087860047285460611065072457602403989228931188991982137121801356915250655889259676333364349130950327339853537532756136728818606401594347971946201414481889004346695718269169807427079077595033003373470148094796593704454165126696396635422280754325055634378786900202485326744365037592843967655027980562012981628276269690127999595535247940023500732334230692297699814150061138366898527554620753592361996321458584987948624690479913144882264124936712057273857109467283614567783174730062177072212801287144119008582606100932332257515006215073609728126276836955053587194651297490767388859447202274955679018493833468882871266573147321540006513956466847105343660247514886562927158939582426118173353576169870467012908104246941275162868455297467270311439204449450217620441441686735715557668211061404210015585666058503631394129230132431309202412816024123046695343426647307700952614555495080050105328734975169182712343247340417032734082903662709731093419356715416927561890649282912935165738627809732325899882985801157113487983204744199254722741592658907246822474418569636214728185154833923800366393653208907731862569062709688023460670047885931331431188721405009945223260534675404255788142014236021457624253843676430954034657750880022957135371243711093033504506974398538429427980626359711512950119190173160936603330718487349229270698048335326657160682685748317937016504490413458183633747301110971761494517480909435218305909779176898203353416004736237093325590352552340258501299140216539416280470156354510774864836702544792492803839974853505597200032104485569363541022755425881773485979134092717992106404349715385185391726054155642457905150869287575603942458979372898139659658472331915412872298644723002119818113189120658910315046870557877205395218948736639574982456634435131249372826834421846768992337193238993491646843409842329368499895510332489364963282369715708577744702070196703526}
30234  570384157474150078512247031053942512901965826729284021879588576537331501396529484895517: {332453,694853,846244,936293,1117289,1208920,1360035,1418789,1450704,1599593,1632042,1751774,2201753,2296036,2923289,3043433,3943493,4108696,4123289,4282862,4622283,4901573,5192164,6692453,6806894,7361236,7488856,7525733,8247603,8424963,9187589,9365273,9483689,9818575,9901336,10400414,10420035,10547993,10961189,11114704,11139003,11348056,11432933,11631235,11691604,11782290,11845289,11963033,12504042,12567776,12766563,12845093,13135695,13957482,14011408,14138748,14239768,15292324,15762834,16019739,16166296,16616050,16704773,16730596,16937573,16943883,17577113,17809433,18187083,18610862,19142789,19316393,19547753,19939260,20084995,20724746,21094574,21268544,21448814,21458968,21624233,22141733,22428953,22919523,23455299,23461289,23862053,23927112,24101994,24141339,24205253,25159099,25521535,26030789,26180799,26263768,26393054,26599589,26918001,27253443,27451289,27734789,27922975,28503374,28692850,28753733,28909396,28979813,29205662,29546739,29600873,29606780,30164633,30233203,30258014,30625842,30952553,31541656,31682789,31963289,32131493,32444575,32475556,32979736,33407294,33458968,33507570,33756494,33900004,34032019,34032773,34431420,34868633,35202473,35313689,35484363,35500334,35528136,35741408,35941570,36496083,36726848,37102203,37293295,37456084,37641339,37641833,37769176,37807589,38933490,38977214,39461189,39969153,40209084,40232895,41107589,41317704,41402462,41529056,41713876,42295400,42490323,42583193,42637733,42915088,43129884,43190290,43309735,43400453,43508056,43551183,43726853,43838884,43944293,44178211,44751954,45029573,45254116,46003589,46165673,46482417,46543589,46714759,46720188,46813289,47374804,47513573,47582325,47606414,47806168,48279474,48292862,48319913,48340995,48427289,48617170,48946563,49070873,49606313,50754480,50834789,51041535,51163882,51207833,51345100,51468835,51563728,51793253,51828348,51971682,52005893,52430789,53329827,53781939,54138112,54444304,54444974,55180133,55963495,56136223,56645625,56902495,57098790,57338968,57855593,58009194,58340604,58638533,58723467,59367653,60043289,60212462,60422000,60458393,60905376,61249842,61418335,61614120,61752293,61762602,61832895,61855589,61871050,62629289,62989733,63111730,63401189,63555353,63760793,63914789,64068713,64258574,64393735,64471768,64506339,64594814,64946404,65093033,65297513,65552933,65721728,65955088,65958595,66368933,66735370,67081253,67156194,67233689,67320856,67407571,67842713,67974750,68282994,68501189,68518548,69315885,69453100,70418213,70956014,71228116,72273689,72506400,72530739,73091260,73316836,73485976,73702002,73919333,73936944,73944219,74167913,74199474,74245260,74283134,74433496,74515589,74707876,75297795,75655193,75734076,75735963,76097764,76248089,76741289,76889093,76957244,77272482,77340160,77725289,78180436,78586862,79055746,79150314,79194944,79195289,79246814,79526935,79947850,80082444,80268699,80317648,80560793,80658089,80676195,80803973,81525183,81569700,82258853,82545243,82597289,82621819,82671723,82866254,82949656,83148655,83179062,83343720,83422168,83737683,85160462,85721189,86054608,86294213,86580293,86913689,86977227,87007680,87195451,87553795,87709512,87769193,88735695,88899968,89047589,89094312,89189273,89244244,89613893,89896613,90052862,90357354,90555173,90602153,90702734,91540073,91676462,91708106,91991050,92007833,92166295,92324894,92568089,92686564,92808192,92858259,93318363,93761685,93824453,93849939,93864295,93963689,94334633,94519913,94651408,94658789,94999762,95432322,95557975,95721113,95937420,96043589,96296530,96733289,96811434,96871013,97493716,97558553,97567768,97650089,97812123,97883640,98673201,98777534,98928233,99285043,99778386,...,267919956955966436737243734124863406544664511867855934742384627059456821982089582051789395429990244086744049552672932595690837183298825834705015957774311152545784220347603741047348449664922426655341813243825595592426819868615178592115706131935176579054340937913110417480219274411893602866940305764780592288707164150287807703360832869270606517413545797906212617065183201343621202394225193850641256058032342973544445319853500267185000957343743203271665602181904238799473860970123869562855033680951264703147063902592095021198483864261915728240928191981521527977540806997966446506038398961464702226969625561441039879365369381310164400158908412461184090668877881748954789111554977167672876915853210577414982628388910947743319049538265553233562448890793083268794985302144345198925526085871945843102390795811010181290222186679005212411477649065486156774086664485507726860169171397030284304511901981351460093384690934120159000828275209948390379403462985895715647339246528865547714977336460716781941708105470985075805571130496978920771221149851519570103877478914448172139800535797734856927942160070772386314332586286350888925313490182486668040333834793906260692033480965417775899466546026514869934331424669816263231109626265510841873222407351457066735980953050485383797523489578707523050489571849461144067641504877234015544524354324007105632524614651268573659388216202542588181213124831933386104318520377741674414532993639595402865783179455142191053147303393446299049081341018985728970634076894774121445511565551881283772652345949681169901728856530977755921020392649569411627876331601634585203294436857172595914209451418976306634114912212158701908040977636470752692378361869606895306613345285468358870391171539456399268565276052518317596184359784029889744426542303630169238404083594507473225016372139737229760021454480836573488691879990851692250954626024863170202003528698143592826567933321486780645894833156851564876092969902285501599839301448915286686833555516821758503897314011524203616480677166089724150009526533113450510393527922960804577354889999126244538932302681875821599603837551438148688437975827757042839117105336759291257420621263562735761914046685410040381199759827501316625870959718291646156038467110286777505383164110156292246416105475306656785613406592802539639875080139009825905762744015576601191420247090442364425394331763667494087166457991673347455175779149099128613404032906158894284746212038285751884077510958843681821190764137181335877647586473943128316685301775372702912883340114542975756081612520026600135295229734198297323184919168507979127307661148947455218917967863582093221235732845694984878428957210031953323692065750499662966305463886951191108526147841341728718255358245529372425075184699636887837492952350368189929175109794612175862293986262830534467694247767931407941392907224305495595854314890919733700403821953152561724707502433299464979890087459506220178336235480014607679848796424431655806128565531435538402595174941131790070928190916597608686403605983843396783487973205682702035372875983833889514500046523696425491009780306299134205093227909602391521957919302121722833506520043577403754711140618616392549505060205222142194890556681247690044594953133421131487583451568180350303727990116547556389265951482541970843019472442414404535191999393302871910035251098501346038446549721225091707550347791331931130388542994482187877481922937035719869717323396187405068085910785664200925421851674762095093265608319201930716178512873909151398498386272509322610414592189415255432580380791976946236151083289170803412433518527740750203324306899859720982310009770934700270658015490371272329844390738409373639177260030364254805700519362156370411912744302682946200905467158806674175326430662162530103573336502316592106315023378499087755447091193845198646963803619224036184570043015139970961551428921833242620075157993102462753774068514871010625549101124355494064596640129035073125391342835973924369402748607941714598488849824478701735670231974807116298882084112388988360870233711627854454322092277732250885700549590479813361597793853594064532035191005071828896997146783082107514917834890802013106383682213021354032186436380765514646431051986626320034435703056865566639550256760461597807644141970939539567269425178785259741404904996077731023843906047072502989985741024028622476905524756735620187275450620951666457642241776221364152827458864668765347305030124007104355639988385528828510387751948710324809124420705234531766162297255053817188739205759962280258395800048156728354045311534133138822660228968701139076988159606524573077778087589081233463686857726303931363405913688469059347209489487708497873119308447967084503179727169783680988365472570305836815808092828423104959362473684951652696874059240251632770153488505789858490237470265114763494052749843265498734047444923554573562866617053105295055289}
30235  572150440517409720458884508136370902800924359813044165884548972643478264438328357457641: {1057805,1269366,1511150,1813380,1934272,2176056,2448063,2627661,2870045,3444054,3595109,4320173,5135870,6163044,6424293,6490205,6552749,7311062,7460141,7788246,8663669,9201545,9361070,9725366,9929549,10210341,10901117,10996804,11041854,11233284,12259982,12286109,12376670,12459797,12624854,13349726,13893380,14145509,14185070,14275613,14614505,14852004,15600621,15709720,15908549,16086473,16633037,16672056,17022084,17514260,17537406,17673435,17799710,18057806,18609976,18756063,18776597,18851664,18983849,19115405,19507262,20207870,20786441,20913245,20936223,21017112,21208122,21359652,21519053,22591844,22938486,22980797,23644251,23917673,24249444,24924075,25095894,26585680,26823710,26940917,27223262,27598949,27916293,28857269,29276597,29764382,29837141,29908890,30559364,31087119,31273732,31641861,31902816,31937846,32135992,32173221,32188452,32371337,32519981,32829710,33048029,34863881,34907732,35177054,35890668,36136745,36152991,36337924,37008475,37550702,38069549,39395652,39427070,39589581,40204613,40261454,40329341,40476062,40476677,40594445,40834456,41224670,41290409,41823710,41830397,42045509,42375005,42670121,42755061,43039275,43364094,43808493,44230121,44410170,44676760,45118262,45235637,45387021,45908560,45938763,46266974,46820105,47211470,47312484,47370848,47519741,47638766,48210062,48661444,48713334,49469604,50110941,50171597,50188452,50261355,50603381,50634741,50850006,51244973,51647130,51911320,52142345,52869250,53250501,53292204,53612112,53643860,53912355,54385070,54751661,54798605,55033814,55090272,55509317,55791977,56184126,56412797,56567645,56653764,56898734,57506512,57710702,58068244,58400235,58465821,58560077,58905749,58931141,59000414,59029373,59218505,59669272,59757710,60313626,60744254,61211597,61976556,62103693,62293584,62570814,62594549,63443100,63695021,63791561,64181375,64300229,64372632,64454660,64631141,64694826,64785435,64966469,65035646,65129309,65262084,65758326,65793437,66322733,67127931,67672640,67881174,68019209,68055380,68249654,68686781,69104464,69295576,69660173,70080282,70277942,71062206,71106436,71328221,71409621,71673710,71709252,72210974,72419211,72439293,72580949,72604757,72925755,72994397,74850974,75221534,75297782,75342761,75362633,75468221,75527500,76131720,76447421,76669262,76745823,77017650,77345592,77742522,77787472,77957523,78297956,79092494,79484933,80589710,80947982,81183005,81207168,81666456,81667461,82152160,82320173,82350136,82443860,82819982,83774366,84151070,84696617,85035326,85371797,85648185,86008452,86722262,86816375,87013791,87510906,88037837,89035145,89541592,89665997,89917661,90318693,90633000,90836681,91043992,91248509,91358064,91364075,91541597,91646045,91857470,91874763,92421180,92643903,92806575,93041870,93157181,93384845,94252493,94543541,94667595,95122205,95136617,96196555,96387861,96675200,96707652,96892221,97288709,97419606,97725545,98269336,98433974,98582592,98592292,98932632,98993680,99148937,99332462,99831749,99895862,...,357226609274621915649658312166484542059552682490474579656512836079275762642786109402385860573320325448992066070230576794254449577731767779606687943699081536727712293796804988063131266219896568873789084325100794123235759824820238122820941509246902105405787917217480556640292365882524803822587074353040789718276218867050410271147777159027475356551394397208283489420244268458161603192300258467521674744043123964725927093138000356246667943124990937695554136242538985065965147960165159417140044907935019604196085203456126694931311819015887637654570922642028703970054409330621928674717865281952936302626167415254719839153825841746885866878544549948245454225170508998606385482073302890230502554470947436553310171185214596991092066051020737644749931854390777691726647069525793598567368114495927790803187727748013575053629582238673616548636865420648209032115552647343635813558895196040379072682535975135280124512921245493545334437700279931187172537950647860954196452328705154063619969781947622375922277473961313434407428173995971894361628199802026093471836638552597562853067381063646475903922880094363181752443448381801185233751320243315557387111779725208347589377974620557034532622061368686493245775232893088350974812835020681122497629876468609422314641270733980511730031319438276697400652762465948192090188673169645354059365805765342807510032819535024764879184288270056784241617499775911181472424693836988899219377324852793870487710905940189588070863071191261732065441788025314305294178769193032161927348754069175045030203127932908226535638475374637007894693856866092548837168442135512780271059249142896794552279268558635075512153216282878269210721303515294336923171149159475860408817793713957811827188228719275199024753701403357756794912479712039852992568723071506892317872111459343297633355162852982973013361939307782097984922506654468923001272834699817560269338038264191457102090577761982374194526444209135419834790626536380668799785735265220382249111407355762344671863085348698938155307569554786298866679368710817934013858037230614406103139853332168326051909736909167762132805116735250864917917301103676057118822807115679055009894161684750314349218728913880053841599679770001755501161279624388861541384622813715703340510885480208389661888140633742209047484542123736719519833440185346434541016992020768801588560329453923152567192442351556658782888610655564463273567705532132171484538710541545192379661616051047669178770014611791575761587685516241781170196781965257504422247069033830270550511120152723967674775483360035466847060306312264396430913225558010638836410214865263273625223957151442790961647643794259979837905276280042604431589421000666217288407285182601588144701530455122304957673810994039163233433579599515850449990603133824253238900146392816234483058648350440712623592330357241877255190542965740660794472419854559644933871762604203415632943336577732619973186783279341626904448313973352810239798395232575541074838087375247384536793566588175720094570921222130144915204807978457862377983964274243602713830501311778519352666728698261900654679707075065512273457637212803188695943892402828963778008693391436538339614854158155190066006746940296189593187408908330253392793270844561508650111268757573800404970653488730075185687935310055961124025963256552539380255999191070495880047001464668461384595399628300122276733797055109241507184723992642917169975897249380959826289764528249873424114547714218934567229135566349460124354144425602574288238017165212201864664515030012430147219456252553673910107174389302594981534777718894404549911358036987666937765742533146294643080013027912933694210687320495029773125854317879164852236346707152339740934025816208493882550325736910594934540622878408898900435240882883373471431115336422122808420031171332117007262788258460264862618404825632048246093390686853294615401905229110990160100210657469950338365424686494680834065468165807325419462186838713430833855123781298565825870331477255619464651799765971602314226975966409488398509445483185317814493644948837139272429456370309667847600732787306417815463725138125419376046921340095771862662862377442810019890446521069350808511576284028472042915248507687352861908069315501760045914270742487422186067009013948797076858855961252719423025900238380346321873206661436974698458541396096670653314321365371496635874033008980826916367267494602221943522989034961818870436611819558353796406706832009472474186651180705104680517002598280433078832560940312709021549729673405089584985607679949707011194400064208971138727082045510851763546971958268185435984212808699430770370783452108311284915810301738575151207884917958745796279319316944663830825744597289446004239636226378241317820630093741115754410790437897473279149964913268870262498745653668843693537984674386477986983293686819684658736999791020664978729926564739431417155489404140393407052}
30236  573922161368189504071846983706856294446010238595438256105656032272868497683797515699720: {392899,664906,1389706,1692488,1872586,1904049,2021323,2234578,2266725,2417840,2720070,2837578,2901408,2923483,3103699,3199186,3264084,3503548,3823843,4183483,4403506,4592072,5166081,5846578,6086866,6692899,7703805,7886986,8217392,8246578,8298643,8565724,9244566,9803146,10384328,10966593,11138899,11682369,12904699,13384906,13613788,13746005,14041605,14588049,14722472,14977712,15051466,16283729,16495206,16562781,16849926,17366725,17984803,18375178,18389973,18565005,18730546,18937281,18967378,19637150,19802672,20024589,20800828,20840070,20934643,21095986,21277605,21892825,21922378,22229408,22278006,22696112,22865866,23262470,23383208,23564580,23690578,23926066,25008084,25063699,25135552,25533126,25690186,26271390,26306109,26699565,27086709,27914964,28022816,28118993,28239805,28277496,28303123,28479536,29260893,30311805,30584648,31010899,31179523,31525668,31812183,32039478,32332592,33232100,33409546,33461192,33875146,33887766,34407729,35154226,35204899,35618866,35730149,36374166,37221724,37643841,37699699,38199205,38285578,38362243,38632786,39092165,39095506,39878520,40169990,40200193,40235565,40342963,40834893,41000899,41165203,41449492,41657683,42189148,42537088,42640699,42897628,42917936,43248466,43634665,44283466,44436163,44646573,44857906,44863335,44924323,45249403,45422405,45839046,46060843,46910598,46922578,47355403,47516899,47724106,47854224,47906769,48203988,48282678,48410506,48484363,49127899,49244565,50091043,50318198,50891683,51043070,52061578,52210613,52361598,52527536,52765581,52786108,53199178,53836002,54506886,54902578,55469578,55845950,56326053,56917723,57006748,57385700,57507466,57818792,57859699,57959626,58411324,59093478,59140605,59201746,59213560,59423899,60047563,60329266,60392181,60466406,60516028,60633629,60714093,60826805,61136203,61251684,61837005,61905106,62115229,62685283,62735565,63083312,63365578,63457123,63926578,64073299,64262986,64889150,64951112,65046141,65959472,66342809,66526483,66615255,66814588,66917936,67015140,67054825,67512988,67677393,67746163,67800008,68064038,68065546,68657899,68862840,69400461,69415699,69737266,70322683,70404946,70627378,70817205,70968726,71000668,71056272,71458149,71482816,71883140,72056369,72315093,72585305,72992166,73070001,73453696,74204406,74521003,74586590,74912168,75282678,75283666,75538352,75561763,75615178,76275009,77470695,77866980,77954428,78348893,78922378,79303875,79663493,79938306,80418168,80465790,80566699,80568325,81577605,82215178,82550721,82635408,82804924,83058112,83427752,84276189,84337843,84590800,84980646,85069225,85166386,85275466,85348101,85631899,85775323,85830176,85985669,86259768,86380580,86566053,86619470,86800906,87016112,87102366,87453706,87677768,87888586,88356422,88500621,88883045,89503908,89636565,89903299,90059146,90151229,90470439,90508232,90608899,91116381,92007178,92331346,92342033,92964834,93087178,93429518,93440376,93552763,93626578,93856221,94409375,94749608,95027146,95164650,95212828,95612336,96558948,96585724,96639826,96681990,96854578,97042239,97234340,97553469,97872445,97893126,98114683,98141746,98637489,99072283,99212626,...,535839913911932873474487468249726813089329023735711869484769254118913643964179164103578790859980488173488099105345865191381674366597651669410031915548622305091568440695207482094696899329844853310683626487651191184853639737230357184231412263870353158108681875826220834960438548823787205733880611529561184577414328300575615406721665738541213034827091595812425234130366402687242404788450387701282512116064685947088890639707000534370001914687486406543331204363808477598947721940247739125710067361902529406294127805184190042396967728523831456481856383963043055955081613995932893012076797922929404453939251122882079758730738762620328800317816824922368181337755763497909578223109954335345753831706421154829965256777821895486638099076531106467124897781586166537589970604288690397851052171743891686204781591622020362580444373358010424822955298130972313548173328971015453720338342794060568609023803962702920186769381868240318001656550419896780758806925971791431294678493057731095429954672921433563883416210941970151611142260993957841542442299703039140207754957828896344279601071595469713855884320141544772628665172572701777850626980364973336080667669587812521384066961930835551798933092053029739868662849339632526462219252531021683746444814702914133471961906100970767595046979157415046100979143698922288135283009754468031089048708648014211265049229302537147318776432405085176362426249663866772208637040755483348829065987279190805731566358910284382106294606786892598098162682037971457941268153789548242891023131103762567545304691899362339803457713061955511842040785299138823255752663203269170406588873714345191828418902837952613268229824424317403816081955272941505384756723739213790613226690570936717740782343078912798537130552105036635192368719568059779488853084607260338476808167189014946450032744279474459520042908961673146977383759981703384501909252049726340404007057396287185653135866642973561291789666313703129752185939804571003199678602897830573373667111033643517007794628023048407232961354332179448300019053066226901020787055845921609154709779998252489077864605363751643199207675102876297376875951655514085678234210673518582514841242527125471523828093370820080762399519655002633251741919436583292312076934220573555010766328220312584492832210950613313571226813185605079279750160278019651811525488031153202382840494180884728850788663527334988174332915983346694910351558298198257226808065812317788569492424076571503768155021917687363642381528274362671755295172947886256633370603550745405825766680229085951512163225040053200270590459468396594646369838337015958254615322297894910437835935727164186442471465691389969756857914420063906647384131500999325932610927773902382217052295682683457436510716491058744850150369399273775674985904700736379858350219589224351724587972525661068935388495535862815882785814448610991191708629781839467400807643906305123449415004866598929959780174919012440356672470960029215359697592848863311612257131062871076805190349882263580141856381833195217372807211967686793566975946411365404070745751967667779029000093047392850982019560612598268410186455819204783043915838604243445667013040087154807509422281237232785099010120410444284389781113362495380089189906266842262975166903136360700607455980233095112778531902965083941686038944884828809070383998786605743820070502197002692076893099442450183415100695582663862260777085988964375754963845874071439739434646792374810136171821571328401850843703349524190186531216638403861432357025747818302796996772545018645220829184378830510865160761583953892472302166578341606824867037055481500406648613799719441964620019541869400541316030980742544659688781476818747278354520060728509611401038724312740823825488605365892401810934317613348350652861324325060207146673004633184212630046756998175510894182387690397293927607238448072369140086030279941923102857843666485240150315986204925507548137029742021251098202248710988129193280258070146250782685671947848738805497215883429196977699648957403471340463949614232597764168224777976721740467423255708908644184555464501771401099180959626723195587707188129064070382010143657793994293566164215029835669781604026212767364426042708064372872761531029292862103973252640068871406113731133279100513520923195615288283941879079134538850357570519482809809992155462047687812094145005979971482048057244953811049513471240374550901241903332915284483552442728305654917729337530694610060248014208711279976771057657020775503897420649618248841410469063532324594510107634377478411519924560516791600096313456708090623068266277645320457937402278153976319213049146155556175178162466927373715452607862726811827376938118694418978975416995746238616895934169006359454339567361976730945140611673631616185656846209918724947369903305393748118480503265540306977011579716980474940530229526988105499686530997468094889847109147125733234106210590110578}
30237  575699336670424530621312247036580341070782802108060460175702334336950973643866930790426: {997359,1480927,2084559,2115610,2538732,2808879,3022300,3351867,3626760,3868544,4018063,4080105,4256367,4352112,4379435,4798779,4896126,5105659,5255322,5740090,6605259,6888108,7190218,7641359,8640346,8728667,8769867,9086287,9130299,9632843,10271740,10707155,11807027,11830479,12326088,12369867,12848586,12882163,12980410,13105498,13866849,14519947,14622124,14704719,14920282,15576492,16871179,17017235,17327338,17780143,18403090,18722140,19450732,19859098,20077359,20420682,20460307,21217243,21802234,21993608,22083708,22466568,22577199,24519964,24572218,24742809,24753340,24919594,25249708,25274889,26001035,26699452,26761567,27562767,27786760,28095819,28291018,28370140,28451067,28551226,29229010,29278543,29455725,29504123,29704008,30251483,31201242,31260105,31419440,31643979,31817098,32172946,32883567,33266074,33344112,33417009,34044168,34298799,34603843,34893705,35028520,35074812,35346870,35450063,35535867,35599420,35889099,36115612,36766259,37219952,37430459,37512126,37553194,37703328,37967698,38230810,38299689,38535279,39014524,39407085,40415740,41109443,41540125,41572882,41826490,41872446,42034224,42416244,42523307,42719304,43038106,45183688,45238639,45344123,45876972,45961594,46527155,47288502,47835346,48059217,48498888,49690147,49848150,50114319,50191788,50591443,50812719,50831649,51714323,51811865,52731339,52736435,53171360,53428299,53622035,53647420,53881834,54446524,54561249,54775547,55197898,55218383,55832586,56832223,57428367,57714538,57949179,58553194,58643259,59162543,59325007,59528764,59674282,59817780,60254985,61118728,62052083,62174238,62355739,62547464,62598703,63283722,63805632,63875692,64271984,64346442,64376904,64742674,64872699,65039962,65072843,65548147,65659420,65982635,66096058,66425199,67008203,67286859,68023723,68190979,68758569,69727762,69815464,69952499,70354108,70365897,70383867,71258435,71586159,71732125,71781336,72273490,72305982,72424017,72609583,72615759,72675848,72901403,72999283,73014155,74016950,74699707,75071267,75101404,75477297,75645035,76139098,76169843,76564605,76718047,77737139,78092367,78542397,78791304,78854140,79038859,79179162,79194703,79798767,80409226,80522908,80658682,80754003,80952124,80953354,81188890,81668912,81760329,82325659,82353867,82449340,82580818,82905907,83204367,83518235,83647420,83660794,83768925,84091018,84391235,84750010,85340242,85510122,86078550,86261199,86728188,86939439,87616986,88368227,88460242,88640217,88750835,88802619,88820340,89353520,89853925,90236524,90471274,90493899,90537763,90699609,90774042,91817120,91877526,92533948,92857659,93640210,93936739,94422940,94624968,94741696,95039482,95048367,95277532,95889867,96118879,96394479,96420124,97322888,97333725,97426668,97443035,97504163,98939208,...,803759870867899310211731202374590219633993535603567804227153881178370465946268746155368186289970732260232148658018797787072511549896477504115047873322933457637352661042811223142045348994767279966025439731476786777280459605845535776347118395805529737163022813739331252440657823235680808600820917294341776866121492450863423110082498607811819552240637393718637851195549604030863607182675581551923768174097028920633335959560500801555002872031229609814996806545712716398421582910371608688565101042853794109441191707776285063595451592785747184722784575944564583932622420993899339518115196884394106680908876684323119638096108143930493200476725237383552272006633645246864367334664931503018630747559631732244947885166732843229957148614796659700687346672379249806384955906433035596776578257615837529307172387433030543870666560037015637234432947196458470322259993456523180580507514191090852913535705944054380280154072802360477002484825629845171138210388957687146942017739586596643144932009382150345825124316412955227416713391490936762313663449554558710311632436743344516419401607393204570783826480212317158942997758859052666775940470547460004121001504381718782076100442896253327698399638079544609802994274009448789693328878796532525619667222054371200207942859151456151392570468736122569151468715548383432202924514631702046633573062972021316897573843953805720978164648607627764543639374495800158312955561133225023243598980918786208597349538365426573159441910180338897147244023056957186911902230684322364336534696655643851317957037849043509705186569592933267763061177948708234883628994804903755609883310571517787742628354256928919902344736636476105724122932909412258077135085608820685919840035856405076611173514618369197805695828157554952788553079352089669233279626910890507715212250783522419675049116419211689280064363442509720466075639972555076752863878074589510606010586094430778479703799964460341937684499470554694628278909706856504799517904346745860060500666550465275511691942034572610849442031498269172450028579599340351531180583768882413732064669997378733616796908045627464798811512654314446065313927483271128517351316010277873772261863790688207285742140056230121143599279482503949877612879154874938468115401330860332516149492330468876739248316425919970356840219778407618919625240417029477717288232046729803574260741271327093276182995291002482261499373975020042365527337447297385840212098718476682854238636114857255652232532876531045463572292411544007632942759421829384950055905326118108738650020343628927268244837560079800405885689202594891969554757505523937381922983446842365656753903590746279663707198537084954635286871630095859971076197251498988898916391660853573325578443524025186154766074736588117275225554098910663512478857051104569787525329383836527586881958788491603403082743303794223824178721672916486787562944672759201101211465859457685174122507299898394939670262378518660535008706440043823039546389273294967418385696594306615207785524823395370212784572749792826059210817951530190350463919617048106106118627951501668543500139571089276473029340918897402615279683728807174565873757906365168500519560130732211264133421855849177648515180615666426584671670043743070133784859400263394462750354704541050911183970349642669167797854447625912529058417327243213605575998179908615730105753295504038115339649163675275122651043373995793391165628983446563632445768811107159609151970188562215204257732356992602776265555024286285279796824957605792148535538621727454195495158817527967831243776568245766297741142375930838708453249867512410237300555583222250609972920699579162946930029312804100811974046471113816989533172215228120917531780091092764417101558086469111235738232908048838602716401476420022525979291986487590310720009506949776318945070135497263266341273581535595940891410857672108553710129045419912884654286765499727860225473979307388261322205544613031876647303373066482193789920387105219376174028507921773108208245823825143795466549473436105207010695924421348896646252337166965082610701134883563362966276833196752657101648771439440084793381560782193596105573015215486690991440349246322544753504672406039319151046639064062096559309142296543939293155959878960103307109170596699918650770281384793422932425912818618701808275536355779224214714988233193071531718141217508969957223072085867430716574270206860561826351862854999372926725328664092458482376594006296041915090372021313066919965156586485531163255846130974427373262115703595298486891765161451566217617279886840775187400144470185062135934602399416467980686906103417230964478819573719233334262767243700391060573178911794090217741065407178041628468463125493619357925343901253509539181509351042965096417710917510447424278485269314878087421054854958090622177720754898310460465517369575470712410795344290482158249529796496202142334770663720688599851159315885165867}
30238  577481983118697036463450370620747239814986483308098884221161495102382227303714222694517: {785798,1238077,1329812,2779412,3043837,3173415,3384976,3745172,3777875,3808098,4042646,4469156,4483261,4533450,4835680,5021857,5380561,5440140,5675156,5738977,5802816,5846966,6207398,6398372,6528168,6812497,7007096,7344189,7647686,7882983,8366966,8610135,8807012,9184144,9307297,9484957,10332162,10726561,10785327,11693156,11964637,12173732,12494161,12839675,12960519,13375261,13385798,14254561,15407610,15482557,15773972,16434784,16493156,16597286,16881661,17131448,18277655,18489132,19244407,19272879,19470615,19606292,19658247,20705437,20768656,21933186,22277798,22380423,23364738,23402675,23808061,24313415,24322897,24665761,25809398,25991007,26716897,26769812,27227576,27492010,27568477,27604635,28083210,29176098,29444944,29788647,29955424,30102932,30112417,30631023,30649955,30941675,31562135,31799377,32304061,32567458,32703351,32990412,33125562,33374315,33699852,34733450,35318557,35462675,35652061,35969606,36484561,36750356,36779946,36858327,36983197,37130010,37315261,37379391,37461092,37874562,37934756,39274300,39466657,39535727,39605344,40049178,41601656,41680140,41869286,42191972,42436527,42555210,42752737,42826839,43785650,43843515,43844756,44458816,44499275,44556012,45144515,45392224,45731732,46010017,46334161,46524940,46766416,46801863,47129160,47381156,47509319,47627857,47725647,47852132,48259419,48434077,48768155,49077757,49899111,50016168,50127398,50271104,50519675,51066252,51380372,52542780,52612218,53020305,53399130,53478887,53551261,54173418,54660817,54729031,55135261,55829928,56045632,56237986,56268189,56329791,56479610,56554992,56606246,56951547,56959072,57183697,57346215,58521786,58751137,59844061,60155677,60623610,61088531,61169296,61864417,62021798,62359046,62359323,62638237,62739735,62808669,63051336,63591367,63624366,64078956,64180477,64557159,64665184,66464200,66819092,66922384,67059275,67090897,67750292,67775532,68004577,68058155,68308561,68815458,68942391,69422903,70308452,70409798,70579261,70932753,71237732,71460298,71633377,71753019,72384157,72748332,73282717,73408907,74029537,74327761,74410955,74443448,74625697,74772225,75072061,75287682,75399398,76398410,76555261,76571156,76724486,76851037,77265572,78184330,78191012,79500061,79757040,79844615,80231761,80339980,80400386,80471130,80669917,80685926,80822751,81669786,81689761,82001798,82074275,82330406,82706077,82796847,82898984,83315366,83748879,84378296,85074176,85157527,85281398,85795256,85835872,86496932,86571807,87021757,87269330,87734737,87829791,87877117,87942635,88566932,88872326,89293146,89511423,89715812,89726670,89848646,90004177,90286561,90498806,90844810,90991261,91678092,92121686,92675197,93261357,93821196,93845156,93876755,94209697,94487761,94710806,94904317,94925583,95033798,95448212,95708448,95813538,96407976,96519663,96565356,96821012,96968726,97114011,97559943,97664797,98255798,98489130,98567675,99144087,99988561,...,1071679827823865746948974936499453626178658047471423738969538508237827287928358328207157581719960976346976198210691730382763348733195303338820063831097244610183136881390414964189393798659689706621367252975302382369707279474460714368462824527740706316217363751652441669920877097647574411467761223059122369154828656601151230813443331477082426069654183191624850468260732805374484809576900775402565024232129371894177781279414001068740003829374972813086662408727616955197895443880495478251420134723805058812588255610368380084793935457047662912963712767926086111910163227991865786024153595845858808907878502245764159517461477525240657600635633649844736362675511526995819156446219908670691507663412842309659930513555643790973276198153062212934249795563172333075179941208577380795702104343487783372409563183244040725160888746716020849645910596261944627096346657942030907440676685588121137218047607925405840373538763736480636003313100839793561517613851943582862589356986115462190859909345842867127766832421883940303222284521987915683084884599406078280415509915657792688559202143190939427711768640283089545257330345145403555701253960729946672161335339175625042768133923861671103597866184106059479737325698679265052924438505062043367492889629405828266943923812201941535190093958314830092201958287397844576270566019508936062178097417296028422530098458605074294637552864810170352724852499327733544417274081510966697658131974558381611463132717820568764212589213573785196196325364075942915882536307579096485782046262207525135090609383798724679606915426123911023684081570598277646511505326406538340813177747428690383656837805675905226536459648848634807632163910545883010769513447478427581226453381141873435481564686157825597074261104210073270384737439136119558977706169214520676953616334378029892900065488558948919040085817923346293954767519963406769003818504099452680808014114792574371306271733285947122583579332627406259504371879609142006399357205795661146747334222067287034015589256046096814465922708664358896600038106132453802041574111691843218309419559996504978155729210727503286398415350205752594753751903311028171356468421347037165029682485054250943047656186741640161524799039310005266503483838873166584624153868441147110021532656440625168985664421901226627142453626371210158559500320556039303623050976062306404765680988361769457701577327054669976348665831966693389820703116596396514453616131624635577138984848153143007536310043835374727284763056548725343510590345895772513266741207101490811651533360458171903024326450080106400541180918936793189292739676674031916509230644595789820875671871454328372884942931382779939513715828840127813294768263001998651865221855547804764434104591365366914873021432982117489700300738798547551349971809401472759716700439178448703449175945051322137870776991071725631765571628897221982383417259563678934801615287812610246898830009733197859919560349838024880713344941920058430719395185697726623224514262125742153610380699764527160283712763666390434745614423935373587133951892822730808141491503935335558058000186094785701964039121225196536820372911638409566087831677208486891334026080174309615018844562474465570198020240820888568779562226724990760178379812533684525950333806272721401214911960466190225557063805930167883372077889769657618140767997573211487640141004394005384153786198884900366830201391165327724521554171977928751509927691748142879478869293584749620272343643142656803701687406699048380373062433276807722864714051495636605593993545090037290441658368757661021730321523167907784944604333156683213649734074110963000813297227599438883929240039083738801082632061961485089319377562953637494556709040121457019222802077448625481647650977210731784803621868635226696701305722648650120414293346009266368425260093513996351021788364775380794587855214476896144738280172060559883846205715687332970480300631972409851015096274059484042502196404497421976258386560516140292501565371343895697477610994431766858393955399297914806942680927899228465195528336449555953443480934846511417817288369110929003542802198361919253446391175414376258128140764020287315587988587132328430059671339563208052425534728852085416128745745523062058585724207946505280137742812227462266558201027041846391230576567883758158269077700715141038965619619984310924095375624188290011959942964096114489907622099026942480749101802483806665830568967104885456611309835458675061389220120496028417422559953542115314041551007794841299236497682820938127064649189020215268754956823039849121033583200192626913416181246136532555290640915874804556307952638426098292311112350356324933854747430905215725453623654753876237388837957950833991492477233791868338012718908679134723953461890281223347263232371313692419837449894739806610787496236961006531080613954023159433960949881060459053976210999373061994936189779694218294251466468212421180221156}
30239  579270117458389614131143848610741244510834695480981375319578773200824839252141851012395: {1178697,1662265,1994718,2961854,3474265,4169118,4231220,4681465,5077464,5586445,5617758,5649457,5712147,6044600,6063969,6131209,6703734,6800175,7093945,7253520,7737088,7997965,8036126,8160210,8512734,8704224,8758870,8770449,9030697,9311097,9597558,9755569,9792252,10211318,10297177,10510644,11008765,11384269,11471529,11480180,12550449,13196089,13210518,13614337,13776216,14380436,14616445,14990017,15217165,15282718,15498243,15603577,17280692,17457334,17539734,18172574,18260598,19265686,19579681,19717465,20078697,20134729,20543480,20616445,21036157,21414310,22228657,23111415,23614054,23660958,23824129,24507865,24652176,24739734,24895929,25382221,25697172,25764326,25960820,26210996,27182269,27733698,29039894,29244248,29409438,29506081,29840564,31152984,31276957,32612689,32899779,33416697,33462265,33742358,33810481,34034470,34654676,34868509,35047107,35560286,35870941,36112681,36401449,36806180,37444280,37628665,38714097,38901464,39718196,40154718,40841364,40920614,41238015,41895529,42124815,42434486,42526129,43369777,43604468,43764147,43944577,43987216,44167416,44235997,44933136,45154398,45347137,45591229,45754237,45937945,46006081,46826365,47418445,47526049,48851187,49039928,49092875,49144436,49485618,49506680,49688343,49839188,50499416,50549778,51932617,52002070,52100175,52738369,52739965,53398904,53523134,53588509,53954409,54758929,54805945,55125534,55169919,55573520,55695015,55799389,56191638,56582036,56740280,56811843,56902134,57102452,57164665,57523897,57798361,57839389,58156175,58458020,58557086,58911450,59008246,59226445,59408016,59815165,59823577,60073767,60502966,61219729,62056201,62402484,62520210,62803929,62838880,63287958,63634196,63800029,63832815,64225465,64345892,65138017,65258089,65678475,65733481,65767134,66331537,66532148,66688224,66834018,67012657,67195489,68088336,68597598,69207686,69787410,69919369,70057040,70149624,70693740,70900126,71071734,71198840,71337697,71778198,72231224,72536611,72906241,73532518,73831009,74098249,74439904,74860918,74891521,75024252,75070849,75076249,75106388,75191097,75372637,75406656,75935396,76457569,76461620,76599378,76904269,77070558,77192257,78029048,78237697,78814170,78841081,78918327,80098695,80831480,81260127,82218886,83080250,83098321,83145764,83293489,83523865,83558809,83652980,83744892,84068448,84356979,84643597,84687865,84707869,84719415,84832488,84909369,85046614,85131001,85438608,86076212,87782679,87885565,87889969,88189261,88648681,89047165,90367376,90477278,90688246,90935415,91753944,91923188,92375689,92495449,92566177,93032697,93054310,93409609,93538569,94577004,95436549,95670692,95713945,96118434,96581965,96997776,97555441,97738765,98525149,98627869,98764489,99162109,99380294,99696300,99761809,...,1607519741735798620423462404749180439267987071207135608454307762356740931892537492310736372579941464520464297316037595574145023099792955008230095746645866915274705322085622446284090697989534559932050879462953573554560919211691071552694236791611059474326045627478662504881315646471361617201641834588683553732242984901726846220164997215623639104481274787437275702391099208061727214365351163103847536348194057841266671919121001603110005744062459219629993613091425432796843165820743217377130202085707588218882383415552570127190903185571494369445569151889129167865244841987798679036230393768788213361817753368646239276192216287860986400953450474767104544013267290493728734669329863006037261495119263464489895770333465686459914297229593319401374693344758499612769911812866071193553156515231675058614344774866061087741333120074031274468865894392916940644519986913046361161015028382181705827071411888108760560308145604720954004969651259690342276420777915374293884035479173193286289864018764300691650248632825910454833426782981873524627326899109117420623264873486689032838803214786409141567652960424634317885995517718105333551880941094920008242003008763437564152200885792506655396799276159089219605988548018897579386657757593065051239334444108742400415885718302912302785140937472245138302937431096766864405849029263404093267146125944042633795147687907611441956329297215255529087278748991600316625911122266450046487197961837572417194699076730853146318883820360677794294488046113914373823804461368644728673069393311287702635914075698087019410373139185866535526122355897416469767257989609807511219766621143035575485256708513857839804689473272952211448245865818824516154270171217641371839680071712810153222347029236738395611391656315109905577106158704179338466559253821781015430424501567044839350098232838423378560128726885019440932151279945110153505727756149179021212021172188861556959407599928920683875368998941109389256557819413713009599035808693491720121001333100930551023383884069145221698884062996538344900057159198680703062361167537764827464129339994757467233593816091254929597623025308628892130627854966542257034702632020555747544523727581376414571484280112460242287198558965007899755225758309749876936230802661720665032298984660937753478496632851839940713680439556815237839250480834058955434576464093459607148521482542654186552365990582004964522998747950040084731054674894594771680424197436953365708477272229714511304465065753062090927144584823088015265885518843658769900111810652236217477300040687257854536489675120159600811771378405189783939109515011047874763845966893684731313507807181492559327414397074169909270573743260191719942152394502997977797832783321707146651156887048050372309532149473176234550451108197821327024957714102209139575050658767673055173763917576983206806165486607588447648357443345832973575125889345518402202422931718915370348245014599796789879340524757037321070017412880087646079092778546589934836771393188613230415571049646790740425569145499585652118421635903060380700927839234096212212237255903003337087000279142178552946058681837794805230559367457614349131747515812730337001039120261464422528266843711698355297030361231332853169343340087486140267569718800526788925500709409082101822367940699285338335595708895251825058116834654486427211151996359817231460211506591008076230679298327350550245302086747991586782331257966893127264891537622214319218303940377124430408515464713985205552531110048572570559593649915211584297071077243454908390990317635055935662487553136491532595482284751861677416906499735024820474601111166444501219945841399158325893860058625608201623948092942227633979066344430456241835063560182185528834203116172938222471476465816097677205432802952840045051958583972975180621440019013899552637890140270994526532682547163071191881782821715344217107420258090839825769308573530999455720450947958614776522644411089226063753294606746132964387579840774210438752348057015843546216416491647650287590933098946872210414021391848842697793292504674333930165221402269767126725932553666393505314203297542878880169586763121564387192211146030430973381982880698492645089507009344812078638302093278128124193118618284593087878586311919757920206614218341193399837301540562769586845864851825637237403616551072711558448429429976466386143063436282435017939914446144171734861433148540413721123652703725709998745853450657328184916964753188012592083830180744042626133839930313172971062326511692261948854746524231407190596973783530322903132435234559773681550374800288940370124271869204798832935961373812206834461928957639147438466668525534487400782121146357823588180435482130814356083256936926250987238715850687802507019078363018702085930192835421835020894848556970538629756174842109709916181244355441509796620920931034739150941424821590688580964316499059592992404284669541327441377199702318631770331734}
30240  581063756485838894259425506303070992391664291990610731206574131836658360735032968417337: {513791,876119,1117511,1298471,1571596,1599911,1780679,2141999,2382719,2476154,2659624,2992077,3044039,3104111,3224231,3824351,3944279,4124111,4442781,4483559,4543439,5289025,5440679,5558824,5799071,6087674,6253677,6336119,6346830,6769952,6812951,6872519,7490344,7527239,7555750,7616196,7705631,8085292,8418479,8426637,8774471,8938312,8966522,9066900,9367151,9671360,10043714,10055601,10727279,10761122,10880280,10963391,11140391,11350312,11477954,11605632,11612039,11693932,12054189,12240315,12414796,12553799,12769101,12796744,13056336,13138305,13624994,14014192,14255519,14350225,14396337,14489711,14688378,14840759,15295372,15316977,15541991,15765966,16533431,16733932,16882799,16940999,17115551,17220270,17614024,17754959,17975545,17987231,18368288,18614594,18969914,18972959,19320311,19493879,19815777,19898591,20664324,20937479,21453122,21570654,21600865,21801239,22318631,22924077,23179511,23386312,23466071,23866919,23929274,24347464,24381719,24667439,24988322,25067111,25181231,25588717,25679350,25751351,25921038,26186001,26309601,26605031,26750522,26771596,27229919,27258861,27390897,27456911,27910511,28420199,28509122,28898529,29155271,29494079,29776199,30114479,30170831,30339839,30621359,30815220,30958919,30965114,31547944,31689311,31857671,32121465,32138111,32306279,32451025,32530391,32763745,32869568,32986312,33194572,33763322,33816551,34038781,34262896,34318679,35209751,35320991,35421081,35487791,35491437,35710079,36555310,36978264,37041119,37109601,37300705,37373159,37815431,38146799,38488814,38545758,38646489,38941230,39212584,39304319,39316494,39634391,39854279,41006591,41116151,41280431,41410874,41537312,41600547,41663471,41772839,42592079,42755711,42810239,42909937,43318345,43409519,43559841,43866372,44114157,44186989,44279471,44550911,44555596,44760846,45038999,45255719,45364031,45742871,46007725,46067279,46175351,46337399,46391399,46724041,46729476,46805350,46823111,47616122,47631191,47684999,48330071,48491159,48626830,48645794,49134791,49331522,49616759,49647745,49777271,50578751,50613537,51051705,51218639,51484919,51618796,51982014,52016879,52441871,53340429,53433794,53539624,53555039,54455152,54505585,54664679,54717431,54984020,55136954,55191839,55209270,56147377,56166420,56768519,57240119,57501839,58352196,58807439,58889888,59577294,59848319,59900279,59910848,60159959,60205864,60211871,60224834,60232077,60471311,61262046,61299910,61380921,61430545,61883350,62023751,62230199,62298985,62694239,62797271,63124270,63202321,63568991,63598754,63651729,63928511,64082471,64185071,64608122,65134916,65260439,65406702,65464871,65720231,65980824,66251124,66536039,66637871,66748630,67248191,67399704,67400591,67731597,67755911,67857359,68009471,68275417,68515991,68667791,68768951,69425711,69466900,70332839,70433471,70584359,70634639,70637114,70727545,70925350,71304122,71378065,71688671,71939212,72089279,72969122,73072525,73288031,73337879,73500712,73559892,73716654,73966394,74084639,74228427,74260020,74333159,74630522,74631119,74680751,74758782,74922184,75127079,75671711,75749124,75824667,75869512,76610159,76905911,77644031,77889671,78003105,78548600,78772319,78933314,79071454,79210688,79359311,79542745,80098356,80284701,80432365,80675831,80821751,80967599,81695759,81744239,82045249,82688301,82905359,83165185,83194919,83203312,83360280,83738572,84287457,84383944,84873054,85022111,85110420,85353201,85505474,85644551,85653678,85740191,86074679,86742479,86755981,87218519,87571300,87687030,87689512,87788711,87835629,87931079,88367175,88512369,88917632,88998550,89112024,89209151,89350799,90010871,90289030,90293279,90340319,90754449,90784448,91044959,91420031,91463464,92020034,92588831,92668322,92728751,93049880,93532832,93603726,93780315,93845519,93882985,93984791,94216751,94258320,94263119,94494839,94541159,94680071,94762312,94911431,94919245,94931937,94957679,95018638,95234999,95255714,95281417,95451294,95577025,95704264,95742671,96065231,96203351,96518838,96868154,96892871,97536310,98155514,98220839,98650701,98813951,99087239,99587519,99798222,...,2411279612603697930635193607123770658901980606810703412681461643535111397838806238466104558869912196780696445974056393361217534649689432512345143619968800372912057983128433669426136046984301839898076319194430360331841378817536607329041355187416589211489068441217993757321973469707042425802462751883025330598364477352590269330247495823435458656721912181155913553586648812092590821548026744655771304522291086761900007878681502404665008616093688829444990419637138149195264748731114826065695303128561382328323575123328855190786354778357241554168353727833693751797867262981698018554345590653182320042726630052969358914288324431791479601430175712150656816019900935740593102003994794509055892242678895196734843655500198529689871445844389979102062040017137749419154867719299106790329734772847512587921517162299091631611999680111046911703298841589375410966779980369569541741522542573272558740607117832163140840462218407081431007454476889535513414631166873061440826053218759789929434796028146451037475372949238865682250140174472810286940990348663676130934897310230033549258204822179613712351479440636951476828993276577158000327821411642380012363004513145156346228301328688759983095198914238633829408982822028346369079986636389597576859001666163113600623828577454368454177711406208367707454406146645150296608773543895106139900719188916063950692721531861417162934493945822883293630918123487400474938866683399675069730796942756358625792048615096279719478325730541016691441732069170871560735706692052967093009604089966931553953871113547130529115559708778799803289183533846124704650886984414711266829649931714553363227885062770786759707034209909428317172368798728236774231405256826462057759520107569215229833520543855107593417087484472664858365659238056269007699838880732671523145636752350567259025147349257635067840193090327529161398226919917665230258591634223768531818031758283292335439111399893381025813053498411664083884836729120569514398553713040237580181501999651395826535075826103717832548326094494807517350085738798021054593541751306647241196194009992136200850390724136882394396434537962943338195941782449813385552053948030833621316785591372064621857226420168690363430797838447511849632838637464624815404346203992580997548448476991406630217744949277759911070520659335222856758875721251088433151864696140189410722782223813981279828548985873007446784498121925060127096582012341892157520636296155430048562715908344571766956697598629593136390716877234632022898828278265488154850167715978354326215950061030886781804734512680239401217657067607784675908664272516571812145768950340527096970261710772238838991121595611254863905860614890287579913228591754496966696749174982560719976735330572075558464298224209764351825676662296731990537436571153313709362575988151509582760645876365474810209248229911382671472536165018749460362688834018277603303634397578373055522367521899695184819010787135555981605026119320131469118639167819884902255157089782919845623356574470186110638353718249378478177632453854590571051391758851144318318355883854505005630500418713267829419088022756692207845839051186421523697621273719095505501558680392196633792400265567547532945545541846999279754015010131229210401354578200790183388251064113623152733551911048928007503393563342877737587175251981729640816727994539725847190317259886512114346018947491025825367953130121987380173496886950339690897337306433321478827455910565686645612773197070977808328796665072858855839390474872817376445606615865182362586485476452583903493731329704737298893223427127792516125359749602537230711901666749666751829918762098737488840790087938412302435922139413341450968599516645684362752595340273278293251304674259407333707214698724146515808149204429260067577937875959462770932160028520849328956835210406491789799023820744606787822674232573016325661130387136259738653962860296499183580676421937922164783966616633839095629941910119199446581369761161315658128522085523765319324624737471475431386399648420308315621032087773264046689938757011500895247832103404650690088898830499590257971304946314318320254380144682346580788316719045646460072974321047738967634260514017218117957453139917192186289677927426889631817879467879636880309921327511790099755952310844154380268797277738455856105424826609067337672644144964699579214595154423652526909871669216257602292149722810620581685479055588564998118780175985992277375447129782018888125745271116063939200759895469759456593489767538392923282119786347110785895460675295484354698652851839660522325562200433410555186407803807198249403942060718310251692893436458721157700002788301731101173181719536735382270653223196221534124885405389376480858073776031703760528617544528053128895289253132752531342272835455807944634262263164564874271866533162264694931381396552108726412137232386032871446474748589389488606427004311991162065799553477947655497601}
30241  582862917048489689723582904949744654710294496126627879785118949597356883136774445029513: {30241,1964495,2327171,2357394,3324530,3714231,3989436,4863971,5923708,6314099,6554051,6676631,6948530,7821023,8338236,8462440,9131511,9362930,9520245,9931523,10106615,10154928,10903283,11172890,11197151,11235516,11298914,11333625,11424294,12089200,12127938,12169391,12262418,13407468,13449783,13600350,14187890,14278451,14507040,14617415,15065571,15412271,15474176,15518495,15995930,16072252,16089671,16141683,16320420,17025468,17216931,17408448,17517740,17540898,18061394,18440591,18622194,18987623,19119215,19195116,19511138,19584504,20243399,20422636,20437491,20463023,20594354,20917415,21021288,21304031,21523331,22017530,22032567,22062311,22768538,22943058,22960360,23139623,23510999,23648949,25100898,25684031,25830405,26270231,26392178,26421036,27132719,27228674,27552432,27604451,27921891,28454871,28760872,28863023,29232890,29980034,30380183,30434330,30565436,30996486,31207154,32151911,32179683,32355981,33464495,34311011,34561384,34870823,34914668,34956599,35079468,35893911,36345148,36521196,37482483,37620743,38344799,38519025,38531372,38881557,39159362,39434930,40125783,40157394,40269458,41086960,41232890,41493215,42053891,42072314,42678623,42763683,42828620,44457314,46009139,46222830,46447671,46847171,47228108,47321916,47529203,47648258,47986151,49015730,49304352,49479468,49791858,50644983,50764442,50954903,51255191,51394344,51528652,51921640,52421992,52680131,53592071,54364538,54370823,54762563,54832965,55467396,55694495,57733221,57818637,58079788,58411845,58488496,58818876,58942883,58974741,59012162,59681128,61374911,62116311,62305968,62364023,62553914,63804263,64313123,64523495,64644023,64979423,65225378,65556911,65799558,66335939,66385823,66833394,66924530,67141269,67484716,67620962,68068940,68200031,68730025,69034703,69309352,69737018,70094214,70208025,70700591,71120572,71424183,71741882,72225362,72802898,72940245,72968691,73612360,73835951,73997283,74709623,74888560,74896499,75257330,75377639,75483263,76462643,76728323,77428194,77685023,77802928,77973021,79049351,79159391,79436392,79500839,80030531,80150691,80309436,81418645,81682728,81841228,82476030,82705431,82775351,82813905,82917023,83741231,83791058,84249630,84868972,85052258,86273699,86391311,86739554,86833625,87208936,87528294,87889154,87895811,87974432,88334832,88471994,89307779,89365941,89866272,89915651,89924015,89935583,90308796,90337251,90549791,90694274,91182458,91508474,91875890,91893069,91949865,92012162,92825025,93092723,93175823,93225011,93652730,94271279,94686405,94836890,95052098,95155583,95398131,96912183,97702374,98079856,98110053,98185750,98288872,98971236,99013360,99376686,99678376,99851651,...,3215039483471597240846924809498360878535974142414271216908615524713481863785074984621472745159882929040928594632075191148290046199585910016460191493291733830549410644171244892568181395979069119864101758925907147109121838423382143105388473583222118948652091254957325009762631292942723234403283669177367107464485969803453692440329994431247278208962549574874551404782198416123454428730702326207695072696388115682533343838242003206220011488124918439259987226182850865593686331641486434754260404171415176437764766831105140254381806371142988738891138303778258335730489683975597358072460787537576426723635506737292478552384432575721972801906900949534209088026534580987457469338659726012074522990238526928979791540666931372919828594459186638802749386689516999225539823625732142387106313030463350117228689549732122175482666240148062548937731788785833881289039973826092722322030056764363411654142823776217521120616291209441908009939302519380684552841555830748587768070958346386572579728037528601383300497265651820909666853565963747049254653798218234841246529746973378065677606429572818283135305920849268635771991035436210667103761882189840016484006017526875128304401771585013310793598552318178439211977096037795158773315515186130102478668888217484800831771436605824605570281874944490276605874862193533728811698058526808186534292251888085267590295375815222883912658594430511058174557497983200633251822244532900092974395923675144834389398153461706292637767640721355588588976092227828747647608922737289457346138786622575405271828151396174038820746278371733071052244711794832939534515979219615022439533242286071150970513417027715679609378946545904422896491731637649032308540342435282743679360143425620306444694058473476791222783312630219811154212317408358676933118507643562030860849003134089678700196465676846757120257453770038881864302559890220307011455512298358042424042344377723113918815199857841367750737997882218778513115638827426019198071617386983440242002666201861102046767768138290443397768125993076689800114318397361406124722335075529654928258679989514934467187632182509859195246050617257784261255709933084514069405264041111495089047455162752829142968560224920484574397117930015799510451516619499753872461605323441330064597969321875506956993265703679881427360879113630475678500961668117910869152928186919214297042965085308373104731981164009929045997495900080169462109349789189543360848394873906731416954544459429022608930131506124181854289169646176030531771037687317539800223621304472434954600081374515709072979350240319201623542756810379567878219030022095749527691933787369462627015614362985118654828794148339818541147486520383439884304789005995955595665566643414293302313774096100744619064298946352469100902216395642654049915428204418279150101317535346110347527835153966413612330973215176895296714886691665947150251778691036804404845863437830740696490029199593579758681049514074642140034825760175292158185557093179869673542786377226460831142099293581480851138290999171304236843271806120761401855678468192424424474511806006674174000558284357105892117363675589610461118734915228698263495031625460674002078240522928845056533687423396710594060722462665706338686680174972280535139437601053577851001418818164203644735881398570676671191417790503650116233669308972854422303992719634462920423013182016152461358596654701100490604173495983173564662515933786254529783075244428638436607880754248860817030929427970411105062220097145141119187299830423168594142154486909816781980635270111871324975106272983065190964569503723354833812999470049640949202222332889002439891682798316651787720117251216403247896185884455267958132688860912483670127120364371057668406232345876444942952931632195354410865605905680090103917167945950361242880038027799105275780280541989053065365094326142383763565643430688434214840516181679651538617147061998911440901895917229553045288822178452127506589213492265928775159681548420877504696114031687092432832983295300575181866197893744420828042783697685395586585009348667860330442804539534253451865107332787010628406595085757760339173526243128774384422292060861946763965761396985290179014018689624157276604186556256248386237236569186175757172623839515840413228436682386799674603081125539173691729703651274474807233102145423116896858859952932772286126872564870035879828892288343469722866297080827442247305407451419997491706901314656369833929506376025184167660361488085252267679860626345942124653023384523897709493048462814381193947567060645806264870469119547363100749600577880740248543738409597665871922747624413668923857915278294876933337051068974801564242292715647176360870964261628712166513873852501974477431701375605014038156726037404171860385670843670041789697113941077259512349684219419832362488710883019593241841862069478301882849643181377161928632998119185984808569339082654882754399404637263540663468}
30242  584667616045049603371974159762748470167353938880680320138970791136232955995222913354542: {574237,936541,1027582,1752238,1841041,2202337,2235022,2596942,3104317,3143192,3199822,3284497,3536091,3561358,4184317,4283998,4543741,4765438,4952308,4986795,5319248,5984154,6088078,6208222,6448462,6872977,7404635,7648702,7888558,8248222,8478397,8885562,8967118,9086878,10422795,10578050,10881358,11117648,11318077,11598142,12175348,12201697,12507354,12672238,12693660,13083517,13539904,13625902,13745038,14044395,14980688,15054478,15111500,15232392,15411262,16170584,16759335,16836958,16853274,16942141,16948371,17136441,17548942,17814241,17876624,17933044,18133800,18162577,18191907,18393627,18684541,18734302,19032157,19342720,19553041,19899937,20087428,20090315,20111202,20400525,21281835,21454558,21522244,21760560,21897175,21926782,22280782,22664737,22700624,22955908,23211264,23224078,23387864,23993895,24108378,24480630,24829592,25068817,25107598,25165763,25239997,25528295,25538202,25593488,26112672,26276610,26311347,27092091,27249988,27933291,28028384,28511038,28700450,28792674,28979422,28987741,29266707,29376756,29681518,29834641,30172897,30241211,30590744,30633954,30679741,30891531,31017277,31083982,31185937,31531932,33026295,33066862,33467864,33765598,33881998,34152807,34231102,34414587,34440540,35228048,35509918,35951090,35974462,36736576,37229188,37651347,37939828,37945918,38204641,38206795,38640622,38987758,39588267,39631554,39797182,40351357,40843011,41173777,41328648,41830417,41874958,42322141,42649597,42813217,42906244,43141308,43201730,43602478,43643335,43849335,43956541,44637262,44970051,45258877,45431435,45651495,45848154,45869243,46359022,46394641,46494729,46772624,46810731,46932142,47526877,47688337,47733838,47858548,48164215,48333457,48694928,48763438,49334878,49976644,50134222,50362462,51177434,51358700,51502702,51842076,52020541,52220987,52372002,52619202,53210062,53501044,53535775,53543192,54459838,54517722,54721297,54781794,54913822,55821022,56840398,57018244,57797058,58310542,58739043,58988158,59035135,59152395,59552398,59904541,60216157,60228958,60236091,60341662,60404187,60645683,60679678,60683041,61242718,61630440,61849335,61917838,61930228,62127571,63095888,63108471,63378622,63715342,63779041,64242930,64276222,64410815,64612558,64902050,65060782,65316241,65527490,65739136,65972624,66355991,66389144,66685971,67526644,67633102,68077562,68525792,68637358,69334245,69430717,69506843,70419502,70639741,70641982,70842162,70975582,70982874,71420158,71472387,72599735,73110620,73343197,73523595,73956528,74082238,74219202,74601410,74686177,74687787,74746318,75630862,76146663,76293598,76307819,76977628,77091516,77292978,77649697,77882460,78425168,78608638,78632988,79268782,79708558,81022141,81546807,81750241,82013182,82232302,82560862,82821748,83074624,83201094,83326942,83545678,84038251,84355895,85086175,85184158,85511422,85620478,85794337,85819874,86002763,86081041,86636690,86819038,87119682,87218579,87732744,88228314,88373978,88518243,88558942,88900715,89101822,89111192,89521692,90077998,90347041,90511438,90728062,91485742,92015450,92134558,92350702,92674798,92782798,93448082,93458952,93610700,93646222,93830871,93852541,94270177,94548241,94964797,95232244,95262382,95369998,95996263,96660142,96962567,96982318,97253660,97291588,97838067,98269582,98663044,98699337,99018563,99233518,99295490,99554542,99929291,...,4822559225207395861270387214247541317803961213621406825362923287070222795677612476932209117739824393561392891948112786722435069299378865024690287239937600745824115966256867338852272093968603679796152638388860720663682757635073214658082710374833178422978136882435987514643946939414084851604925503766050661196728954705180538660494991646870917313443824362311827107173297624185181643096053489311542609044582173523800015757363004809330017232187377658889980839274276298390529497462229652131390606257122764656647150246657710381572709556714483108336707455667387503595734525963396037108691181306364640085453260105938717828576648863582959202860351424301313632039801871481186204007989589018111784485357790393469687311000397059379742891688779958204124080034275498838309735438598213580659469545695025175843034324598183263223999360222093823406597683178750821933559960739139083483045085146545117481214235664326281680924436814162862014908953779071026829262333746122881652106437519579858869592056292902074950745898477731364500280348945620573881980697327352261869794620460067098516409644359227424702958881273902953657986553154316000655642823284760024726009026290312692456602657377519966190397828477267658817965644056692738159973272779195153718003332326227201247657154908736908355422812416735414908812293290300593217547087790212279801438377832127901385443063722834325868987891645766587261836246974800949877733366799350139461593885512717251584097230192559438956651461082033382883464138341743121471413384105934186019208179933863107907742227094261058231119417557599606578367067692249409301773968829422533659299863429106726455770125541573519414068419818856634344737597456473548462810513652924115519040215138430459667041087710215186834174968945329716731318476112538015399677761465343046291273504701134518050294698515270135680386180655058322796453839835330460517183268447537063636063516566584670878222799786762051626106996823328167769673458241139028797107426080475160363003999302791653070151652207435665096652188989615034700171477596042109187083502613294482392388019984272401700781448273764788792869075925886676391883564899626771104107896061667242633571182744129243714452840337380726861595676895023699265677274929249630808692407985161995096896953982813260435489898555519822141041318670445713517751442502176866303729392280378821445564447627962559657097971746014893568996243850120254193164024683784315041272592310860097125431816689143533913395197259186272781433754469264045797656556530976309700335431956708652431900122061773563609469025360478802435314135215569351817328545033143624291537900681054193940523421544477677982243191222509727811721229780575159826457183508993933393498349965121439953470661144151116928596448419528703651353324593463981074873142306627418725151976303019165521291752730949620418496459822765342945072330037498920725377668036555206607268795156746111044735043799390369638021574271111963210052238640262938237278335639769804510314179565839691246713148940372221276707436498756956355264907709181142102783517702288636636711767709010011261000837426535658838176045513384415691678102372843047395242547438191011003117360784393267584800531135095065891091083693998559508030020262458420802709156401580366776502128227246305467103822097856015006787126685755475174350503963459281633455989079451694380634519773024228692037894982051650735906260243974760346993773900679381794674612866642957654911821131373291225546394141955616657593330145717711678780949745634752891213231730364725172970952905167806987462659409474597786446854255585032250719499205074461423803333499333503659837524197474977681580175876824604871844278826682901937199033291368725505190680546556586502609348518814667414429397448293031616298408858520135155875751918925541864320057041698657913670420812983579598047641489213575645348465146032651322260774272519477307925720592998367161352843875844329567933233267678191259883820238398893162739522322631316257044171047530638649249474942950862772799296840616631242064175546528093379877514023001790495664206809301380177797660999180515942609892628636640508760289364693161576633438091292920145948642095477935268521028034436235914906279834384372579355854853779263635758935759273760619842655023580199511904621688308760537594555476911712210849653218134675345288289929399158429190308847305053819743338432515204584299445621241163370958111177129996237560351971984554750894259564037776251490542232127878401519790939518913186979535076785846564239572694221571790921350590968709397305703679321044651124400866821110372815607614396498807884121436620503385786872917442315400005576603462202346363439073470764541306446392443068249770810778752961716147552063407521057235089056106257790578506265505062684545670911615889268524526329129748543733066324529389862762793104217452824274464772065742892949497178778977212854008623982324131599106955895310995202}
30243  586477870425644100739708388180050211012836986061722706899922392999013463183693528501122: {60482,1541373,2628357,2750293,3352533,3895413,3928990,4654342,4714788,4799733,5342037,6190385,6425997,6649060,7148157,7428462,7462117,7978872,8976231,9132117,9312333,9634757,9672693,9727942,11473053,11809373,11832837,11847416,12372333,12628198,13108102,13328343,13353262,13450677,13630317,13897060,14149261,14887121,15219185,15642046,15867075,15974213,16322037,16676472,16874533,16924880,17397213,18263022,18725860,18761031,18889375,19008357,19040490,19863046,20213230,20309856,20438853,20464381,20617557,21221461,21725893,21806566,22345780,22394302,22416305,22471032,22581717,22597828,22667250,22848588,23116893,23555741,23924017,24178400,24255876,24338782,24524836,24657877,25109285,25255437,25279911,26323413,26766901,26814936,26899566,26902805,27200700,28101453,28375780,28556902,28694885,29003941,29014080,29234830,29284381,30131142,30166803,30824542,30948352,31036990,31991860,32144504,32179342,32181837,32283366,32640840,32890173,33421173,34050936,34062485,34433862,34816896,34836117,35035480,35081796,36122788,36162567,36720945,36881182,37244388,37437917,37661397,37975246,37997713,38238430,38307303,38390232,39022276,39169008,39414915,40215277,40486798,40845272,40874982,40926046,40928477,41188708,41301361,41834830,42042576,42608062,42766557,43046662,43050675,43189011,43469133,44035060,44065134,44124622,44522277,45537076,45597281,45886116,45920720,45950931,46279246,46357457,46536485,46625973,46850293,47021998,47297898,47424785,49600293,49700053,50201796,50648397,50700641,50822997,51346653,51368062,51660810,52540462,52784356,52842072,53264877,53632805,53926635,53961693,54265438,54374437,54457348,54786461,55104864,55208902,55843782,56909742,56918877,57202277,57521744,57531533,57726046,57847073,57960933,58090501,58465780,58481637,59447331,59695773,59823185,59960068,60760366,60868660,61130872,61992972,62414308,62470805,62812437,64198375,64303822,64359366,64711962,64802595,65403717,66876305,66928990,66955893,68204557,68622022,68772231,69122768,69538533,69741646,69829336,69913198,69966437,70077281,70158936,70398213,71272805,71600757,71787822,72624061,72690296,73042392,73145157,73795717,74002317,74108093,74714581,74964966,75201333,75241486,75543693,76689598,76766151,77038050,77062744,77254053,77412785,77763114,77972293,78318724,78558003,78869860,78928803,79054597,79815093,80251566,80314788,80538916,81389233,81689757,81776583,82172691,82173920,82370733,82465780,82986430,83569901,83731533,84107782,84144628,84408305,84654833,85260597,85337501,85357246,85527366,85657240,86695587,86813173,87465813,88200977,88482237,88914628,89328597,90332893,90343437,90512493,90658157,91019517,91388275,91433021,91864077,92018278,92445660,92876757,92895342,93694342,93955537,94456216,94643832,95058406,95067933,95296516,95573013,95972302,96138037,96222035,96364395,96414333,96918837,97353075,97591173,98031460,98291235,98608704,98958936,99583716,...,7233838837811093791905580821371311976705941820432110238044384930605334193516418715398313676609736590342089337922169180083652603949068297537035430859906401118736173949385301008278408140952905519694228957583291080995524136452609821987124065562249767634467205323653981271965920409121127277407388255649075991795093432057770807990742487470306375970165736543467740660759946436277772464644080233967313913566873260285700023636044507213995025848281066488334971258911414447585794246193344478197085909385684146984970725369986565572359064335071724662505061183501081255393601788945094055663036771959546960128179890158908076742864973295374438804290527136451970448059702807221779306011984383527167676728036685590204530966500595589069614337533169937306186120051413248257464603157897320370989204318542537763764551486897274894835999040333140735109896524768126232900339941108708625224567627719817676221821353496489422521386655221244293022363430668606540243893500619184322478159656279369788304388084439353112426118847716597046750420523418430860822971045991028392804691930690100647774614466538841137054438321910854430486979829731474000983464234927140037089013539435469038684903986066279949285596742715901488226948466085039107239959909168792730577004998489340801871485732363105362533134218625103122363218439935450889826320631685318419702157566748191852078164595584251488803481837468649880892754370462201424816600050199025209192390828269075877376145845288839158434977191623050074325196207512614682207120076158901279028812269900794661861613340641391587346679126336399409867550601538374113952660953244133800488949795143660089683655188312360279121102629728284951517106396184710322694215770479386173278560322707645689500561631565322780251262453417994575096977714168807023099516642198014569436910257051701777075442047772905203520579270982587484194680759752995690775774902671305595454095274849877006317334199680143077439160495234992251654510187361708543195661139120712740544505998954187479605227478311153497644978283484422552050257216394063163780625253919941723588582029976408602551172172410647183189303613888830014587825347349440156656161844092500863950356774116193865571679260506071090292393515342535548898515912393874446213038611977742992645345430974219890653234847833279733211561978005668570276627163753265299455594088420568232168346671441943839485646957619022340353494365775180381289746037025676472561908888466290145688147725033715300870092795888779409172150631703896068696484834796464464550503147935062978647850183092660345414203538040718203652971202823354027725992817549715436437306851021581290910785132316716516973364786833764591717581844670862739739685775263490900090247524947682159930205991716226675392894672629293055477029986890195971612309713459941128087727964454528748281937629096424430627744689734148014417608495056248381088066502054832809910903192735119166567102565699085554457032361406667944815078357960394407355917503459654706765471269348759536870069723410558331915061154748135434532897361563771713154175276553432954955067651563515016891501256139803488257264068270076623537517153559264571092863821157286516504676041176589901377200796702642598836636625540997839262045030393687631204063734602370550164753192340869458200655733146784022510180690028633212761525755945188922450183983619177541570951779659536343038056842473077476103859390365962140520490660851019072692011919299964436482367731697059936838319591212933424986389995218576567518171424618452129336819847595547087759456429357751710481193989114211896679670281383377548376079248807611692135705000249000255489756286296212466522370263815236907307766418240024352905798549937053088257786020819834879753914022778222001121644096172439547424447613287780202733813627878388312796480085562547986870505631219475369397071462233820363468022697719048976983391161408779215961888580889497550742029265813766494351899849901517286889825730357598339744109283483946974385566256571295957973874212414426294159198945260924946863096263319792140069816271034502685743496310213952070266696491498770773913914838942954960763140434047039742364950157136939380218922963143216902902781542051654353872359419751576558869033782280668895453638403638910640929763982535370299267856932532463140806391833215367568316274479827202013017932434894098737643785463270957580729615007648772806876449168431861745056437166765694994356340527957976832126341389346056664377235813348191817602279686409278369780469302615178769846359359041332357686382025886453064095958555518981566976686601300231665559223411421594748211826182154930755078680309376163473100008364905193303519545158610206146811959669588664602374656216168129442574221328095111281585852633584159386685867759398257594026818506367423833902786789493694622815599599486794084794144189656326179236411697158098614339424245768168465819281012935973486197398660433842966492803}
30244  588293697191972049133464445809051036530953702462041073695946412981507080190597777324360: {90723,1148474,1238323,1419259,1873082,2055164,2503363,3224659,3504476,3682082,3944803,4404674,4470044,5193884,5202283,5893485,5919259,6208634,6286384,6399644,6568994,6981513,6992563,7072182,7122716,8311325,8368634,8567996,9087482,9486859,9530876,9904616,9973590,10366489,10638496,11142693,11968308,12176156,12416444,12896924,13745954,14591913,14608723,14809270,14959723,15297404,15485683,15777116,16496444,16956794,17371325,17771124,17934236,18173756,18942297,19662153,20016859,20029893,20845590,21156100,21762716,21919243,22235296,22436563,22636154,23196284,23407325,23463069,24156283,24350696,24403394,25014708,25184659,25344476,25387320,25868803,26167034,26722363,27079808,27251804,27394533,27490076,27574123,27744259,27932225,28088790,28126441,28247285,28560735,29611003,29794569,29961376,30108956,30223000,30319845,30464784,30656045,30822524,31805923,31974259,32341168,32709849,33518670,33591453,33673916,33706548,33884282,33896742,34000875,34272882,34323403,35097884,35325859,35469725,35492683,35628482,35739613,35753248,35866088,36267600,36325154,36383814,36508173,36787254,37156963,37369082,37468604,38064314,38685440,39106082,39639883,39799874,39989825,40174856,40180630,40210841,40222404,40349349,40801050,41121859,41778643,42563670,42835353,42909116,42925243,43044488,43521120,43794350,43852245,43853564,44561564,45153485,45196713,45329474,45370363,45401248,45857443,45911816,46181803,46236813,46422528,46448156,46555485,46775728,46829659,47987790,48216756,48269013,48425049,48444259,48777845,48961260,49659184,50137634,50215196,50331526,50479994,51056590,51076404,51186976,51485885,51492163,51650793,52225344,52553220,52622694,53489513,54184182,54499976,55043825,55321773,55866582,56056768,56921345,56962869,57022076,57357645,57400900,57585348,57958844,57975482,58137403,58533414,58607203,58753512,59363036,59669282,60345794,60482422,60730197,61100669,61181488,61267908,61312473,61359482,61389069,61783062,62032603,62034554,62167964,62371874,62752245,62806243,63063864,63604009,63912093,64194259,64569993,65576443,65980445,66052590,66097701,66133724,66186933,66647443,66935728,67257859,67429901,67531196,67763996,67867123,68071685,68305614,68462204,68778859,68829174,68881080,69418869,69436697,70443643,70456096,70532997,70946847,71019836,71648923,71902180,71948924,72699763,73082225,73423493,73448203,73473152,74194843,74458376,74950085,75302694,75879656,75891836,76085825,76409282,76413590,77052093,77281244,77491215,77753659,77975516,78017885,78810693,79176534,79263108,79594364,80702714,80833603,81398157,81686022,82347554,82649189,82657296,82813353,83660834,83749916,83765673,84644282,85034659,85299194,85364613,85626434,85752859,85812488,86282616,86403460,86589069,87204956,87286670,87698670,87754243,87896659,87913082,89274524,89458483,89940102,90175141,90517754,90862870,91140549,91302990,91696308,91738486,92695963,92718044,92789282,92835859,92989458,93545248,93621462,93864284,94230859,94369963,94925659,95053754,95376674,95467676,95717096,96309859,96328430,96455733,96539049,96666914,97067943,97389856,97526876,97549483,97898405,98587325,98669756,99317933,99953288,...,9645118450414791722540774428495082635607922427242813650725846574140445591355224953864418235479648787122785783896225573444870138598757730049380574479875201491648231932513734677704544187937207359592305276777721441327365515270146429316165420749666356845956273764871975029287893878828169703209851007532101322393457909410361077320989983293741834626887648724623654214346595248370363286192106978623085218089164347047600031514726009618660034464374755317779961678548552596781058994924459304262781212514245529313294300493315420763145419113428966216673414911334775007191469051926792074217382362612729280170906520211877435657153297727165918405720702848602627264079603742962372408015979178036223568970715580786939374622000794118759485783377559916408248160068550997676619470877196427161318939091390050351686068649196366526447998720444187646813195366357501643867119921478278166966090170293090234962428471328652563361848873628325724029817907558142053658524667492245763304212875039159717739184112585804149901491796955462729000560697891241147763961394654704523739589240920134197032819288718454849405917762547805907315973106308632001311285646569520049452018052580625384913205314755039932380795656954535317635931288113385476319946545558390307436006664652454402495314309817473816710845624833470829817624586580601186435094175580424559602876755664255802770886127445668651737975783291533174523672493949601899755466733598700278923187771025434503168194460385118877913302922164066765766928276683486242942826768211868372038416359867726215815484454188522116462238835115199213156734135384498818603547937658845067318599726858213452911540251083147038828136839637713268689475194912947096925621027305848231038080430276860919334082175420430373668349937890659433462636952225076030799355522930686092582547009402269036100589397030540271360772361310116645592907679670660921034366536895074127272127033133169341756445599573524103252213993646656335539346916482278057594214852160950320726007998605583306140303304414871330193304377979230069400342955192084218374167005226588964784776039968544803401562896547529577585738151851773352783767129799253542208215792123334485267142365488258487428905680674761453723191353790047398531354549858499261617384815970323990193793907965626520870979797111039644282082637340891427035502885004353732607458784560757642891128895255925119314195943492029787137992487700240508386328049367568630082545184621720194250863633378287067826790394518372545562867508938528091595313113061952619400670863913417304863800244123547127218938050720957604870628270431138703634657090066287248583075801362108387881046843088955355964486382445019455623442459561150319652914367017987866786996699930242879906941322288302233857192896839057407302706649186927962149746284613254837450303952606038331042583505461899240836992919645530685890144660074997841450755336073110413214537590313492222089470087598780739276043148542223926420104477280525876474556671279539609020628359131679382493426297880744442553414872997513912710529815418362284205567035404577273273423535418020022522001674853071317676352091026768831383356204745686094790485094876382022006234721568786535169601062270190131782182167387997119016060040524916841605418312803160733553004256454492610934207644195712030013574253371510950348701007926918563266911978158903388761269039546048457384075789964103301471812520487949520693987547801358763589349225733285915309823642262746582451092788283911233315186660291435423357561899491269505782426463460729450345941905810335613974925318818949195572893708511170064501438998410148922847606666998667007319675048394949955363160351753649209743688557653365803874398066582737451010381361093113173005218697037629334828858794896586063232596817717040270311751503837851083728640114083397315827340841625967159196095282978427151290696930292065302644521548545038954615851441185996734322705687751688659135866466535356382519767640476797786325479044645262632514088342095061277298498949885901725545598593681233262484128351093056186759755028046003580991328413618602760355595321998361031885219785257273281017520578729386323153266876182585840291897284190955870537042056068872471829812559668768745158711709707558527271517871518547521239685310047160399023809243376617521075189110953823424421699306436269350690576579858798316858380617694610107639486676865030409168598891242482326741916222354259992475120703943969109501788519128075552502981084464255756803039581879037826373959070153571693128479145388443143581842701181937418794611407358642089302248801733642220745631215228792997615768242873241006771573745834884630800011153206924404692726878146941529082612892784886136499541621557505923432295104126815042114470178112212515581157012531010125369091341823231778537049052658259497087466132649058779725525586208434905648548929544131485785898994357557954425708017247964648263198213911790621990404}
30245  590115113397461724481854224636584239958582624639245581308256150832734762128900247387886: {120964,1722711,2568955,2809623,3082746,3656983,4380595,5256714,5500586,5523123,5587555,6492355,6607011,6705066,7643383,7790826,7857980,7999555,8666539,8730979,8903395,9308684,9312951,9429576,9599466,9853491,10299223,10608273,10684074,10709995,11386531,11913595,12290179,12380770,12552951,12851994,13198711,13298120,13631223,14296314,14856924,14924234,14960385,15220195,15520555,15606679,15913819,15957744,16121155,16638547,17595523,17952462,18264234,18624666,19121755,19269514,19345386,19455884,19721395,20618931,20620555,21040339,21306859,22213905,22417795,22717195,22946106,23618746,23665674,23694832,24114619,24219283,24744666,25256396,25387267,25435191,26216204,26445125,26656686,26706524,26901354,27203395,27260634,27794120,27838603,28298522,28460683,28995355,29774242,30259507,30438370,31268385,31284092,31382827,31680595,31734150,31948426,32156179,32644074,33352944,33477763,33749066,33849760,33954231,34064755,34353379,34362595,34794426,35152999,36526044,36605091,36776011,37451720,37522062,37636195,37663927,37778750,38016714,38080980,38528155,39250551,39726092,40172839,40426460,40619712,40877706,40928762,41120347,41235114,42092395,42133185,42315883,42442922,43378423,43451786,43613132,43872355,44244811,44691560,44788604,44832610,44942064,45163434,45195656,45334500,45356179,45600307,45697176,46233786,46835755,47111482,47687479,47848034,48356800,48511752,48677564,49049672,49315754,49554523,50218570,50278005,50510874,50559822,50826423,50845113,50961667,51409323,52449979,52646826,53173843,53442723,53533802,53629872,53636395,53799132,53805610,53917303,54401400,54487731,54575721,54816955,55180881,55701955,55810507,56053623,56202906,56751560,57096471,57113804,57389770,57535351,58007882,58028160,58060195,58469660,58568762,58659123,59699811,60262284,60270945,60333606,61201575,61231927,61649084,61682251,61896704,62073980,62768995,63845505,63983720,64289008,64358684,64363674,64566732,64652611,65151079,65281680,65691525,65780346,66394699,66842346,67026019,67602691,67994211,68101872,68124970,68867724,69043867,69633792,69672234,70070960,70081939,70163592,71100307,71277595,71351911,71751125,71981685,72245576,72325134,72448555,72530131,73441890,73616983,73762364,74203795,74488776,74875834,75085927,75206451,75322794,75493291,75497289,75719991,75950492,75995426,76476860,76584885,76614606,76780464,77709955,78044552,78253291,78321667,78338016,78829830,78934041,79169899,80259499,80430554,80973596,81276273,81690544,81749964,81852092,81856954,82377416,82602722,82667155,82783063,82786339,83575447,83669660,83752459,83799873,84085152,84413995,84660451,84704995,84724747,85216124,85533114,85577755,86093324,86101350,86378022,86402779,86938266,86963223,87459127,87717163,87800121,88070120,88130268,88249244,88774795,89044554,89503923,89877725,89936155,89947531,90518691,90664183,90723633,91074152,91194562,91772232,91841440,91901862,92039223,92454619,92558492,92674593,92714914,93051831,93072970,93251946,93428227,93557811,93626827,93700586,94043996,94225891,94283803,94595796,94849570,94864795,95377207,96601555,97469395,98647531,99078885,99181867,99200586,99400106,99492955,99781927,...,14467677675622187583811161642742623953411883640864220476088769861210668387032837430796627353219473180684178675844338360167305207898136595074070861719812802237472347898770602016556816281905811039388457915166582161991048272905219643974248131124499535268934410647307962543931840818242254554814776511298151983590186864115541615981484974940612751940331473086935481321519892872555544929288160467934627827133746520571400047272089014427990051696562132976669942517822828895171588492386688956394171818771368293969941450739973131144718128670143449325010122367002162510787203577890188111326073543919093920256359780317816153485729946590748877608581054272903940896119405614443558612023968767054335353456073371180409061933001191178139228675066339874612372240102826496514929206315794640741978408637085075527529102973794549789671998080666281470219793049536252465800679882217417250449135255439635352443642706992978845042773310442488586044726861337213080487787001238368644956319312558739576608776168878706224852237695433194093500841046836861721645942091982056785609383861380201295549228933077682274108876643821708860973959659462948001966928469854280074178027078870938077369807972132559898571193485431802976453896932170078214479919818337585461154009996978681603742971464726210725066268437250206244726436879870901779652641263370636839404315133496383704156329191168502977606963674937299761785508740924402849633200100398050418384781656538151754752291690577678316869954383246100148650392415025229364414240152317802558057624539801589323723226681282783174693358252672798819735101203076748227905321906488267600977899590287320179367310376624720558242205259456569903034212792369420645388431540958772346557120645415291379001123263130645560502524906835989150193955428337614046199033284396029138873820514103403554150884095545810407041158541965174968389361519505991381551549805342611190908190549699754012634668399360286154878320990469984503309020374723417086391322278241425481089011997908374959210454956622306995289956566968845104100514432788126327561250507839883447177164059952817205102344344821294366378607227777660029175650694698880313312323688185001727900713548232387731143358521012142180584787030685071097797031824787748892426077223955485985290690861948439781306469695666559466423123956011337140553254327506530598911188176841136464336693342883887678971293915238044680706988731550360762579492074051352945123817776932580291376295450067430601740185591777558818344301263407792137392969669592928929101006295870125957295700366185320690828407076081436407305942405646708055451985635099430872874613702043162581821570264633433033946729573667529183435163689341725479479371550526981800180495049895364319860411983432453350785789345258586110954059973780391943224619426919882256175455928909057496563875258192848861255489379468296028835216990112496762176133004109665619821806385470238333134205131398171108914064722813335889630156715920788814711835006919309413530942538697519073740139446821116663830122309496270869065794723127543426308350553106865909910135303127030033783002512279606976514528136540153247075034307118529142185727642314573033009352082353179802754401593405285197673273251081995678524090060787375262408127469204741100329506384681738916401311466293568045020361380057266425523051511890377844900367967238355083141903559319072686076113684946154952207718780731924281040981321702038145384023838599928872964735463394119873676639182425866849972779990437153135036342849236904258673639695191094175518912858715503420962387978228423793359340562766755096752158497615223384271410000498000510979512572592424933044740527630473814615532836480048705811597099874106176515572041639669759507828045556444002243288192344879094848895226575560405467627255756776625592960171125095973741011262438950738794142924467640726936045395438097953966782322817558431923777161778995101484058531627532988703799699803034573779651460715196679488218566967893948771132513142591915947748424828852588318397890521849893726192526639584280139632542069005371486992620427904140533392982997541547827829677885909921526280868094079484729900314273878760437845926286433805805563084103308707744718839503153117738067564561337790907276807277821281859527965070740598535713865064926281612783666430735136632548959654404026035864869788197475287570926541915161459230015297545613752898336863723490112874333531389988712681055915953664252682778692113328754471626696383635204559372818556739560938605230357539692718718082664715372764051772906128191917111037963133953373202600463331118446822843189496423652364309861510157360618752326946200016729810386607039090317220412293623919339177329204749312432336258885148442656190222563171705267168318773371735518796515188053637012734847667805573578987389245631199198973588169588288379312652358472823394316197228678848491536336931638562025871946972394797320867685932985606}
30246  591942136147427287349881617867517257913968369161109764290305907938760344126347734719077: {151205,181446,695129,1298729,1781033,2296948,2476646,2838518,3224873,3284933,3405029,3746164,3825113,4110328,4124933,4484453,4624119,4723973,5006726,5979353,6449318,6993029,7008952,7364164,7707173,7885071,7885529,7889606,8250879,8809348,8940088,9822475,10057599,10387768,10404566,10965593,11142629,11319593,11437529,11635855,11686239,11786970,11838518,12203333,12417268,12572768,12799288,13137988,13202729,13613573,13963026,13985126,14144364,14245432,14399199,14492633,15545129,16026111,16622650,16711529,16737268,17119013,17135992,18165029,18174964,18281093,18571155,18973718,19061752,19150553,19277991,19497833,19809232,19902629,19947180,20018213,20732978,20941733,21229913,21276992,21444471,22285386,22386351,22782629,23814533,23936616,24215129,24319855,24352312,24832888,25186373,25243433,25357529,25793848,25927529,26610473,26928693,26951513,27396351,27491908,27936999,28595813,28904271,29018079,29183826,29217446,29618540,29919446,30346073,30594808,30971366,31554232,31570495,31864229,32312933,32537093,32705129,32770255,32992888,33383155,33913588,34419159,34493033,34742650,35217029,35428119,35495129,35498511,35542248,35661893,35868472,35884133,36347512,37116999,37546853,37884594,38154713,39105115,39324306,39477593,39546199,39985029,40033718,40059786,40352031,40631333,40890951,41179493,41289029,41453273,41691180,41836229,42312200,42447783,42764633,42918463,42928229,43525432,43745129,43838486,44288729,44451653,44470592,44661363,44723033,44873126,45272308,45373529,45657555,45752453,46347113,46392568,46563113,46814650,46926138,47521903,47601225,47641193,47922639,48312566,48447653,48501353,48701392,48769733,48806788,48966111,49413029,49657615,49787753,49948229,50029416,50369318,50533075,50623599,50688952,50749529,50774640,51737606,52191639,52334068,53444726,54159616,54503608,54516415,54789066,54980152,55148246,55150853,55488518,55864450,55985755,56177580,56252882,56283093,56494570,56668125,56937893,57025071,57121470,57199913,58141529,58663529,59222006,59589138,59922752,60068933,60217912,60446000,60639690,60846955,60929568,61312090,61316559,61393143,61645048,61852671,63214879,63611846,63664383,63948518,64096229,64682336,65177679,65419698,66804953,67037340,67182906,67248915,67347832,67413096,67415129,67745151,67768564,67770533,67793484,68001750,68024153,68288983,68530793,68545764,68646806,68682629,69350679,69440729,70195768,70599653,70651718,70667223,70800773,70939450,70985366,71256964,71392255,71479226,71506496,71704229,71732176,71772051,72080239,72535200,72650308,72767628,73016346,73087075,73453529,73574508,73973631,74313926,74548073,74738164,74845913,74937208,75327855,75766311,75839733,76034393,76128628,76577573,76774853,77061355,77316713,77370880,77592475,77759333,78212164,78789593,78970239,79279766,79523333,79599748,79689883,79718693,79979650,80300703,80349712,80361260,80421682,80444808,80448355,80698698,80708415,80839529,80985413,81602100,82061551,82243718,82923653,83357993,83557286,84304359,84609113,85040933,85127340,85670706,85807013,85818232,85850486,86084655,86088976,86237033,86618729,86773219,87011823,87042240,87237893,87588700,87704490,87707128,87808229,87853143,87950633,88898153,89123128,89370713,89936729,90306970,90393426,90500409,90658948,90740726,90802496,91440473,91581029,91714886,91823632,92049029,92202955,92363606,92372623,92473626,92749529,92845056,92889413,92896312,93110970,93551456,93659318,94005893,94284293,94377029,94701353,94938115,94979033,95300359,95596075,95975580,96225029,96433512,96538026,96545511,96850098,96888518,97555690,97602629,97922520,98670519,98973029,99318368,99746393,...,21701516513433281375716742464113935930117825461296330714133154791816002580549256146194941029829209771026268013766507540250957811847204892611106292579719203356208521848155903024835224422858716559082686872749873242986572409357829465961372196686749302903401615970961943815897761227363381832222164766947227975385280296173312423972227462410919127910497209630403221982279839308833317393932240701901941740700619780857100070908133521641985077544843199465004913776734243342757382738580033434591257728157052440954912176109959696717077193005215173987515183550503243766180805366835282166989110315878640880384539670476724230228594919886123316412871581409355911344179108421665337918035953150581503030184110056770613592899501786767208843012599509811918558360154239744772393809473691961112967612955627613291293654460691824684507997120999422205329689574304378698701019823326125875673702883159453028665464060489468267564159965663732879067090292005819620731680501857552967434478968838109364913164253318059337278356543149791140251261570255292582468913137973085178414075792070301943323843399616523411163314965732563291460939489194422002950392704781420111267040618306407116054711958198839847856790228147704464680845398255117321719879727506378191731014995468022405614457197089316087599402655875309367089655319806352669478961895055955259106472700244575556234493786752754466410445512405949642678263111386604274449800150597075627577172484807227632128437535866517475304931574869150222975588622537844046621360228476703837086436809702383985584840021924174762040037379009198229602651804615122341857982859732401401466849385430980269050965564937080837363307889184854854551319188554130968082647311438158519835680968122937068501684894695968340753787360253983725290933142506421069298549926594043708310730771155105331226326143318715610561737812947762452584042279258987072327324708013916786362285824549631018952002599040429232317481485704976754963530562085125629586983417362138221633517996862562438815682434933460492934934850453267656150771649182189491341875761759825170765746089929225807653516517231941549567910841666490043763476042048320469968485532277502591851070322348581596715037781518213270877180546027606646695547737181623338639115835933228977936036292922659671959704543499839199634685934017005710829881491259795898366782265261704696505040014325831518456940872857067021060483097325541143869238111077029417685726665398870437064443175101145902610278387666338227516451895111688206089454504389393393651509443805188935943550549277981036242610614122154610958913608470062083177978452649146309311920553064743872732355396950149550920094360501293775152745534012588219219057325790472700270742574843046479790617975148680026178684017887879166431089960670587914836929140379823384263183893363586244845812887289273291883234069202444043252825485168745143264199506164498429732709578205357499701307697097256663371097084220003834445235073881183222067752510378964120296413808046278610610209170231674995745183464244406303598692084691315139462525829660298864865202954690545050674503768419410464771792204810229870612551460677793713278591463471859549514028123529769704131602390107927796509909876622993517786135091181062893612191203807111650494259577022608374601967199440352067530542070085899638284577267835566767350551950857532624712855338978609029114170527419232428311578171097886421561471982553057218076035757899893309447103195091179810514958773638800274959169985655729702554514273855356388010459542786641263278369288073255131443581967342635690039010844150132645128237746422835076407115000747000766469268858888637399567110791445710721923299254720073058717395649811159264773358062459504639261742068334666003364932288517318642273342839863340608201440883635164938389440256687643960611516893658426108191214386701461090404068093157146930950173484226337647885665742668492652226087797441299483055699549704551860669477191072795019232327850451840923156698769713887873921622637243278882477596835782774840589288789959376420209448813103508057230488930641856210800089474496312321741744516828864882289421302141119227094850471410818140656768889429650708708344626154963061617078259254729676607101346842006686360915210916731922789291947606110897803570797597389422419175499646102704948823439481606039053797304682296212931356389812872742188845022946318420629347505295585235169311500297084983069021583873930496379024168038169993131707440044575452806839059227835109341407907845536309539078077123997073059146077659359192287875666556944700930059803900694996677670234264784244635478546464792265236040928128490419300025094715579910558635475830618440435879008765993807123968648504388327722663984285333844757557900752478160057603278194772782080455519102271501708360368481083868446798798460382254382432568968978537709235091474295843018272737304505397457843038807920458592195981301528899478409}
30247  593774782599225729520205334006355626585544163050024007880045896580972080996701549874934: {241928,272169,2871185,3445422,3596537,3714969,4257777,4321889,4682705,5137910,5619246,6132833,6165492,7313966,7510089,7822577,8761190,9033089,9089297,9205205,9673977,9758153,10513428,11001172,11011685,11046246,11175110,11199377,11834409,12171809,12464753,12984710,13214022,13410132,14524757,14993993,15286766,15521585,15581652,15606849,15715960,15999110,16422485,16679033,17333078,17461958,17680455,17757777,17786033,17806790,18444257,18617368,18625902,18859152,19198932,19706982,20598446,20794709,20921585,20944539,20977689,21216546,21308273,21368148,21419990,21728777,22066697,22234553,22569617,22718705,22773062,23515673,23827190,24580358,24761540,24933975,25105902,25689137,25703988,26397422,26596240,26770457,26951633,27138113,27262446,27609953,28460577,28592628,28622789,28868777,29713848,29848468,29849009,29920770,30440390,31041110,31099467,31213358,31285253,31384913,31804073,31827638,31915488,32158313,32242310,32384213,33277094,33428079,33819449,34140689,34364885,35191046,35904924,36528468,37023175,37249332,38002757,38084753,38243510,38394953,38539028,38690772,38911768,39442790,39564629,40593497,41237862,41241110,42062273,42080678,42391985,42613718,43775739,43826169,43956233,44352833,44427810,44835590,44879169,45434390,45766373,45892212,46018313,46457049,47237492,47331348,47389664,47690657,48107633,48229238,48438566,49489332,49689317,50512792,50774534,50870382,50965049,51265409,52113975,52432408,52690673,52890250,53313372,53413048,53602757,53802708,53939417,54406790,54521268,55588240,55677206,55767689,56590385,56597044,56826891,56921366,57990710,58929353,58986459,59548484,60050577,60089679,60519014,60876740,61008485,61421297,62376449,62536770,62568184,62765654,63361190,63468300,63720449,63896852,64312358,64992377,65288148,65417585,65570057,65757729,66705888,66955526,67309689,67498132,67699520,67908462,68129510,68706758,68725190,69048449,69588852,70221975,70305998,70389207,71105033,72468849,73052088,73210182,73552022,73621889,73805513,74903440,74911433,75044124,75090953,75272390,75327854,75553977,75557500,76033428,76161960,76743737,77056310,77532209,77606409,77982737,78326873,78501102,79175153,79452184,79465049,80167089,80345678,80852920,81239424,81284273,81400037,81755412,81857524,82183599,82240694,82470228,82722369,82791833,83232777,83796675,84184790,84266370,84379323,84631766,84710705,84741855,84885844,85682205,86408513,86756846,86824697,86903572,87001889,87226264,87744710,87876593,87913337,88489622,88833009,89071205,89383120,89383707,89577208,89665220,89701793,89884128,90188069,90326868,90391312,90567833,90669000,90712358,90812885,90959535,91200614,91285073,91394352,91968135,91996049,92467572,93422705,93671510,94222964,94888817,95160785,95174549,95374958,95417769,95696068,95922777,96150809,96713600,97023504,97355128,97419989,97765205,97834529,98099344,98129547,98631508,99109046,99499685,99788633,99871553,...,28935355351244375167622323285485247906823767281728440952177539722421336774065674861593254706438946361368357351688676720334610415796273190148141723439625604474944695797541204033113632563811622078776915830333164323982096545810439287948496262248999070537868821294615925087863681636484509109629553022596303967180373728231083231962969949881225503880662946173870962643039785745111089858576320935869255654267493041142800094544178028855980103393124265953339885035645657790343176984773377912788343637542736587939882901479946262289436257340286898650020244734004325021574407155780376222652147087838187840512719560635632306971459893181497755217162108545807881792238811228887117224047937534108670706912146742360818123866002382356278457350132679749224744480205652993029858412631589281483956817274170151055058205947589099579343996161332562940439586099072504931601359764434834500898270510879270704887285413985957690085546620884977172089453722674426160975574002476737289912638625117479153217552337757412449704475390866388187001682093673723443291884183964113571218767722760402591098457866155364548217753287643417721947919318925896003933856939708560148356054157741876154739615944265119797142386970863605952907793864340156428959839636675170922308019993957363207485942929452421450132536874500412489452873759741803559305282526741273678808630266992767408312658382337005955213927349874599523571017481848805699266400200796100836769563313076303509504583381155356633739908766492200297300784830050458728828480304635605116115249079603178647446453362565566349386716505345597639470202406153496455810643812976535201955799180574640358734620753249441116484410518913139806068425584738841290776863081917544693114241290830582758002246526261291121005049813671978300387910856675228092398066568792058277747641028206807108301768191091620814082317083930349936778723039011982763103099610685222381816381099399508025269336798720572309756641980939969006618040749446834172782644556482850962178023995816749918420909913244613990579913133937690208201028865576252655122501015679766894354328119905634410204688689642588732757214455555320058351301389397760626624647376370003455801427096464775462286717042024284361169574061370142195594063649575497784852154447910971970581381723896879562612939391333118932846247912022674281106508655013061197822376353682272928673386685767775357942587830476089361413977463100721525158984148102705890247635553865160582752590900134861203480371183555117636688602526815584274785939339185857858202012591740251914591400732370641381656814152162872814611884811293416110903971270198861745749227404086325163643140529266866067893459147335058366870327378683450958958743101053963600360990099790728639720823966864906701571578690517172221908119947560783886449238853839764512350911857818114993127750516385697722510978758936592057670433980224993524352266008219331239643612770940476666268410262796342217828129445626671779260313431841577629423670013838618827061885077395038147480278893642233327660244618992541738131589446255086852616701106213731819820270606254060067566005024559213953029056273080306494150068614237058284371455284629146066018704164706359605508803186810570395346546502163991357048180121574750524816254938409482200659012769363477832802622932587136090040722760114532851046103023780755689800735934476710166283807118638145372152227369892309904415437561463848562081962643404076290768047677199857745929470926788239747353278364851733699945559980874306270072685698473808517347279390382188351037825717431006841924775956456847586718681125533510193504316995230446768542820000996001021959025145184849866089481055260947629231065672960097411623194199748212353031144083279339519015656091112888004486576384689758189697790453151120810935254511513553251185920342250191947482022524877901477588285848935281453872090790876195907933564645635116863847554323557990202968117063255065977407599399606069147559302921430393358976437133935787897542265026285183831895496849657705176636795781043699787452385053279168560279265084138010742973985240855808281066785965995083095655659355771819843052561736188158969459800628547757520875691852572867611611126168206617415489437679006306235476135129122675581814553614555642563719055930141481197071427730129852563225567332861470273265097919308808052071729739576394950575141853083830322918460030595091227505796673727446980225748667062779977425362111831907328505365557384226657508943253392767270409118745637113479121877210460715079385437436165329430745528103545812256383834222075926267906746405200926662236893645686378992847304728619723020314721237504653892400033459620773214078180634440824587247838678354658409498624864672517770296885312380445126343410534336637546743471037593030376107274025469695335611147157974778491262398397947176339176576758625304716945646788632394457357696983072673863277124051743893944789594641735371865971212}
30248  595613069962414292548083105512371368042472053823037941819411853939818415357710726741952: {211687,302410,362892,1117807,1390258,1841407,2022127,2383351,2597458,3285151,3562066,4185151,4544647,4593896,4724287,4953292,5168133,5677036,6449746,6569866,6810058,7492328,7650226,7706865,8220656,8249866,8428869,8968906,9248238,9447946,9902527,10013452,10966327,10970949,11850847,11958706,12898636,13141785,13751465,13986058,14017904,14493607,14728328,15414346,15770142,15771058,15779212,16290197,16501758,16569369,16762665,17120167,17618696,17880176,17992087,18340351,19477065,19557007,19644950,19821033,20115198,20775536,20809132,21931186,22285258,22639186,22875058,22930149,23271710,23372478,23573940,23677036,23873407,23998665,24406666,24834536,25145536,25245151,25598576,25999617,26192937,26275976,26405458,26710185,27227146,27464407,27926052,27938853,27970252,28288728,28490864,28798398,28985266,29163247,29560473,30348151,30897669,30951925,31090258,31192351,31824819,32052222,32129985,32539327,33245300,33423058,33474536,34047797,34049167,34159593,34238026,34271984,35719927,35740785,36330058,36349928,36562186,36870537,37142310,37310585,37658853,37947436,38123504,38212567,38301106,38378167,38555982,38995666,39596133,39618464,39805258,39865327,39894360,40036426,40893669,41465956,41883466,42003151,42459826,42553984,42822151,42888942,44198693,44570772,44772702,44881155,45268351,45565258,45660585,45878357,46404367,46561665,46566367,46736417,46820037,47375287,47629066,47698351,47741457,47873232,48173785,48363465,48430258,48504751,48639710,48704624,49665776,49915641,50372746,50486866,50715058,51233047,51587696,51855058,52786569,52828207,53220946,53857386,53903026,54747161,54792702,54983816,55207447,55873998,56162249,57191626,57256351,57365265,57808542,58036158,58367652,58434892,59046865,59164185,59237080,59838892,60073207,60692146,60696007,61162351,61189616,61856793,61861665,61942732,62247967,63021247,63108464,63121017,63140990,63728458,63792727,63920577,63946807,64625866,65074186,65410258,65483647,65540510,65985776,66641715,66766310,67253385,67827176,68151585,68838318,68986066,69485300,69520661,70434058,70655047,70746305,70805887,70856238,70990258,70997022,71084496,71323786,71736944,71768266,72310327,72343857,72657849,72695024,74233998,74435605,74553487,74851351,75093706,75769188,76039927,76095925,76161801,76305573,76309426,76322981,76632487,78108847,78210230,78380057,78648612,78955186,78991207,79092398,79335375,79871065,79970058,80067436,80119572,80704062,81039967,81262666,81610185,81781902,82358986,82578058,82639807,82906546,83382360,83515809,83672458,84054949,84372665,84624400,84663367,84895566,85185737,85382049,85529266,85836926,85856458,86100127,86243407,86958727,86986065,87050864,87490258,87676972,88577458,88903306,88941184,88952047,89322726,89446066,89746252,90544616,90747058,90778521,91315110,91504906,92694226,92785136,93126226,93629300,93805155,93852276,93873607,94012927,94148481,94446875,94708447,95041785,95043806,95202450,95282386,95845278,96015337,96094087,96468537,96625132,96895306,96981833,97002706,97402784,97539466,97613576,97932222,98021887,98433151,98826058,99315230,99575506,99799351,99896458,99949157,...,43403033026866562751433484928227871860235650922592661428266309583632005161098512292389882059658419542052536027533015080501915623694409785222212585159438406712417043696311806049670448845717433118165373745499746485973144818715658931922744393373498605806803231941923887631795522454726763664444329533894455950770560592346624847944454924821838255820994419260806443964559678617666634787864481403803883481401239561714200141816267043283970155089686398930009827553468486685514765477160066869182515456314104881909824352219919393434154386010430347975030367101006487532361610733670564333978220631757281760769079340953448460457189839772246632825743162818711822688358216843330675836071906301163006060368220113541227185799003573534417686025199019623837116720308479489544787618947383922225935225911255226582587308921383649369015994241998844410659379148608757397402039646652251751347405766318906057330928120978936535128319931327465758134180584011639241463361003715105934868957937676218729826328506636118674556713086299582280502523140510585164937826275946170356828151584140603886647686799233046822326629931465126582921878978388844005900785409562840222534081236612814232109423916397679695713580456295408929361690796510234643439759455012756383462029990936044811228914394178632175198805311750618734179310639612705338957923790111910518212945400489151112468987573505508932820891024811899285356526222773208548899600301194151255154344969614455264256875071733034950609863149738300445951177245075688093242720456953407674172873619404767971169680043848349524080074758018396459205303609230244683715965719464802802933698770861960538101931129874161674726615778369709709102638377108261936165294622876317039671361936245874137003369789391936681507574720507967450581866285012842138597099853188087416621461542310210662452652286637431221123475625895524905168084558517974144654649416027833572724571649099262037904005198080858464634962971409953509927061124170251259173966834724276443267035993725124877631364869866920985869869700906535312301543298364378982683751523519650341531492179858451615307033034463883099135821683332980087526952084096640939936971064555005183702140644697163193430075563036426541754361092055213293391095474363246677278231671866457955872072585845319343919409086999678399269371868034011421659762982519591796733564530523409393010080028651663036913881745714134042120966194651082287738476222154058835371453330797740874128886350202291805220556775332676455032903790223376412178909008778786787303018887610377871887101098555962072485221228244309221917827216940124166355956905298292618623841106129487745464710793900299101840188721002587550305491068025176438438114651580945400541485149686092959581235950297360052357368035775758332862179921341175829673858280759646768526367786727172489691625774578546583766468138404888086505650970337490286528399012328996859465419156410714999402615394194513326742194168440007668890470147762366444135505020757928240592827616092557221220418340463349991490366928488812607197384169382630278925051659320597729730405909381090101349007536838820929543584409620459741225102921355587426557182926943719099028056247059539408263204780215855593019819753245987035572270182362125787224382407614223300988519154045216749203934398880704135061084140171799276569154535671133534701103901715065249425710677957218058228341054838464856623156342195772843122943965106114436152071515799786618894206390182359621029917547277600549918339971311459405109028547710712776020919085573282526556738576146510262887163934685271380078021688300265290256475492845670152814230001494001532938537717777274799134221582891421443846598509440146117434791299622318529546716124919009278523484136669332006729864577034637284546685679726681216402881767270329876778880513375287921223033787316852216382428773402922180808136186314293861900346968452675295771331485336985304452175594882598966111399099409103721338954382145590038464655700903681846313397539427775747843245274486557764955193671565549681178577579918752840418897626207016114460977861283712421600178948992624643483489033657729764578842604282238454189700942821636281313537778859301417416689252309926123234156518509459353214202693684013372721830421833463845578583895212221795607141595194778844838350999292205409897646878963212078107594609364592425862712779625745484377690045892636841258695010591170470338623000594169966138043167747860992758048336076339986263414880089150905613678118455670218682815815691072619078156154247994146118292155318718384575751333113889401860119607801389993355340468529568489270957092929584530472081856256980838600050189431159821117270951661236880871758017531987614247937297008776655445327968570667689515115801504956320115206556389545564160911038204543003416720736962167736893597596920764508764865137937957075418470182948591686036545474609010794915686077615840917184391962603057798956818}
30249  597457015498908359701056520628180288147508589690609326655809361419685221063521321502797: {453615,483856,544338,2085387,3896187,4019659,5107687,5343099,5742370,6191615,6555787,6890844,7096295,7193074,7429938,8515554,8643778,9365410,9674619,9854799,10215087,10275820,10906171,11238492,11475339,12265666,12330984,12374799,12516815,12887287,13453359,13618847,13872357,14171919,14627932,14890079,15020178,15416359,15645154,15977387,16123295,17522380,17938059,18066178,18178594,18410410,19347954,19516306,19724015,20141399,20979087,21026856,21730219,22002344,22023370,22092492,22350220,22398754,22991479,23121519,23655213,23656587,23668818,24343618,24662779,24752637,24929506,25969420,26011415,26277199,26428044,26820264,29009707,29049514,29290219,29467425,29596295,29987986,30172797,30573532,31043170,31163304,31213698,31431920,31806187,31998220,32844970,32896779,33358066,33427887,33482207,33958779,34312587,34617607,34666156,34907565,34923916,34962815,34965871,35058717,35360910,35515554,35572066,35613580,36404327,36609999,36888514,37234736,37251804,37718304,38005279,38397864,39413964,39608187,40348087,40840719,41196892,41556625,41589418,41843170,41889078,41955378,42433092,42616546,42736296,42839980,43197597,43457554,43477899,44133394,44469106,45139234,45437410,45546124,46635387,47031346,47434295,47654380,47998879,48078333,48110839,49160716,49315871,49523080,49709959,49867950,50134587,50211804,51357039,51378274,51407976,51605471,51832445,52794844,53192480,53540914,53903266,54276226,54385279,54495087,54524892,54843279,55219906,55240427,55535119,55713465,56921154,57185256,57245578,57451659,57737554,57833973,57858599,58120247,58493499,59186171,59348779,59427696,59696936,59698018,59707887,59841540,60054639,60880780,61690439,62082220,62198934,62426716,62570506,62769826,62825199,63128747,63608146,63655276,63689739,63830976,64316626,64333413,64484620,64768426,66554188,66856158,67159053,67638898,68281378,68347887,68729770,70382092,71443599,71809848,72539759,72638539,72645387,72959565,73043615,73056936,73810411,74046350,74122859,74498664,74798615,74937467,75559119,75730299,76005514,76072587,76169506,76487020,76789906,77078056,77381544,77428415,77782587,77823536,78263687,78885580,79129258,79226539,79470331,79831419,80786079,80854539,81186994,81405439,82189053,82475724,82482220,83810997,84124546,84161356,84783970,85227436,85411879,85787439,86712813,86830459,86856625,87007687,87054237,87551478,87652338,87728807,87912466,88078759,88218551,88403519,88705666,88855620,89671180,89758338,90868780,91038219,91532746,91584619,91784424,92036626,92914098,93440639,94238399,94474984,94587487,94662696,94711485,94779328,94810439,95381314,95592687,96215266,96458476,96877132,96938799,97611279,98115387,98310765,98978664,99378634,...,65104549540299844127150227392341807790353476383888992142399464375448007741647768438584823089487629313078804041299522620752873435541614677833318877739157610068625565544467709074505673268576149677248060618249619728959717228073488397884116590060247908710204847912885831447693283682090145496666494300841683926155840888519937271916682387232757383731491628891209665946839517926499952181796722105705825222101859342571300212724400564925955232634529598395014741330202730028272148215740100303773773184471157322864736528329879090151231579015645521962545550651509731298542416100505846500967330947635922641153619011430172690685784759658369949238614744228067734032537325264996013754107859451744509090552330170311840778698505360301626529037798529435755675080462719234317181428421075883338902838866882839873880963382075474053523991362998266615989068722913136096103059469978377627021108649478359085996392181468404802692479896991198637201270876017458862195041505572658902303436906514328094739492759954178011835069629449373420753784710765877747406739413919255535242227376210905829971530198849570233489944897197689874382818467583266008851178114344260333801121854919221348164135874596519543570370684443113394042536194765351965159639182519134575193044986404067216843371591267948262798207967625928101268965959419058008436885685167865777319418100733726668703481360258263399231336537217848928034789334159812823349400451791226882731517454421682896385312607599552425914794724607450668926765867613532139864080685430111511259310429107151956754520065772524286120112137027594688807955413845367025573948579197204204400548156292940807152896694811242512089923667554564563653957565662392904247941934314475559507042904368811205505054684087905022261362080761951175872799427519263207895649779782131124932192313465315993678978429956146831685213438843287357752126837776961216981974124041750359086857473648893056856007797121287696952444457114930264890591686255376888760950252086414664900553990587687316447047304800381478804804551359802968452314947546568474025627285279475512297238269787677422960549551695824648703732524999470131290428126144961409905456596832507775553210967045744790145113344554639812631541638082819940086643211544870015917347507799686933808108878767979015879113630499517598904057802051017132489644473779387695100346795785114089515120042977494555370822618571201063181449291976623431607714333231088253057179996196611311193329525303437707830835162999014682549355685335064618268363513168180180954528331415566807830651647833943108727831842366463832876740825410186249533935357947438927935761659194231618197066190850448652760283081503881325458236602037764657657171977371418100812227724529139439371853925446040078536052053663637499293269882011763744510787421139470152789551680090758734537438661867819875649702207607332129758476455506235429792598518493495289198128734616072499103923091291769990113291252660011503335705221643549666203257531136892360889241424138835831830627510695024987235550392733218910796076254073945418387577488980896594595608864071635152023511305258231394315376614430689611837654382033381139835774390415578648542084370589309112394807170323783389529729629868980553358405273543188680836573611421334951482778731067825123805901598321056202591626210257698914853731803506700302051655852572597874138566016935827087342511582257697284934734513293659264684415947659171654228107273699679928341309585273539431544876320916400824877509956967189107663542821566069164031378628359923789835107864219765394330745902027907070117032532450397935384713239268505229221345002241002299407806576665912198701332374337132165769897764160219176152186949433477794320074187378513917785226205003998010094796865551955926820028519590021824604322650905494815168320770062931881834550680975278324573643160104383271212204279471440792850520452679012943656997228005477956678263392323898449167098649113655582008431573218385057696983551355522769470096309141663621764867911729836647432790507348324521767866369878129260628346439310524171691466791925568632400268423488936965225233550486594646868263906423357681284551414232454421970306668288952126125033878464889184851234777764189029821304040526020059082745632750195768367875842818332693410712392792168267257526498938308114846470318444818117161391914046888638794069169438618226566535068838955261888042515886755705507934500891254949207064751621791489137072504114509979395122320133726358420517177683505328024223723536608928617234231371991219177438232978077576863626999670834102790179411702084990033010702794352733906435639394376795708122784385471257900075284146739731675906427491855321307637026297981421371905945513164983167991952856001534272673702257434480172809834584318346241366557306814505125081105443251605340396395381146763147297706906935613127705274422887529054818211913516192373529116423761375776587943904586698435227}
30250  599306636523139822698629746999274433369293045159223991668970894794576429256079147437736: {423374,604820,725784,816507,1419541,1600441,2235614,2684329,2780516,3405481,3682814,3945589,4044254,4125481,4766702,5194916,5382709,5741269,6570302,7124132,7172629,8370302,8613555,9089294,9187792,9448574,9906584,10336266,10789611,11144907,11354072,11439061,12773331,12844775,12851989,12899492,12965667,13139732,13620116,13732729,14048115,14611669,14984656,15138169,15300452,15413730,16441312,16499732,16857738,17412181,17937812,18283561,18284915,18398499,18496476,18895892,19252051,19805054,20020921,20026904,20194261,21232789,21902975,21932654,21941898,22530267,23467731,23474041,23701694,23917412,24161209,24332821,24675829,25360981,25797272,26044981,26283570,26727829,27099267,27267891,27502930,27615615,27749941,27920041,27937775,27972116,28035808,28987214,29021931,29274459,29456656,29786389,30631849,30828692,31540284,31542116,31558424,31980841,32149141,32461775,32580394,33003516,33035055,33138738,33525330,33598131,34240334,34497781,35237392,35333161,35500021,35503227,35666809,35760352,35984174,36515427,36680702,37330729,37394259,37662649,38216915,38954130,39114014,39289900,39642066,39997775,40230396,41294761,41551072,41618264,43097749,43332695,43574271,43654895,43862372,44516975,44566441,44570516,44981979,45278372,45750116,45860298,45867049,46029301,46353589,46543420,46564755,46744956,46820547,47147880,47354072,47746814,47997330,48776569,48813332,49267455,49419961,49669072,50037099,50291072,50490302,50863381,51197152,51496115,51503029,51999234,52234819,52385874,52460341,52551952,52810916,53041365,53273331,53358099,53420370,53549975,53891449,54454292,54683989,54928814,55332771,55790521,55852104,55877706,55940504,56577456,56932655,56981728,57522229,57596796,57970532,58306489,58326494,58776181,59088949,59120946,59567975,60181369,60492841,60696302,61450895,61795338,61903850,62144027,62180516,62384127,62384702,62764755,62833617,62933067,63437461,63649638,63924819,64104444,64208041,64259970,64515769,65078654,65130361,65186331,65743801,65993555,66200091,66373567,66490600,66703659,66814549,66846116,66949072,67424821,67443299,67708851,67881769,68033941,68095594,68098334,68156115,68319186,68338069,68476052,68543968,68793721,70547019,70609849,71439854,71481570,72660116,72699856,72715561,73124372,73741074,74284620,74360149,74621170,74658229,74801925,75317706,75402169,75894872,76100975,76247008,76425134,76602212,76756334,76884649,77067411,77111964,77327989,77602775,77918101,77991332,78033395,79192266,79236928,79569095,79610516,79730654,79788720,80072852,80311371,80605775,80854899,80997289,81414339,81787338,82016629,82665611,82829859,82931912,83192735,83766932,84006302,84919652,85107968,85381731,85644302,85777884,85868367,86345269,86606331,87916201,87977615,88397386,88911349,89141544,89478421,89545404,89547027,89620009,89762310,90044341,90326869,90536702,90609109,91031929,91130516,91321170,91756714,92436649,92808734,92856661,93123330,93132734,93298401,93415669,93472834,93640074,93855759,94154739,94252021,94391161,94530229,94750574,94947001,95258132,95396702,95412219,95482914,95501689,95608775,95746464,96331561,96347570,96469621,96474939,96726930,96860516,97009502,97152639,97279420,97296469,97409248,97708921,98606975,99044827,99331552,99337667,99625129,99831282,...,86806066053733125502866969856455743720471301845185322856532619167264010322197024584779764119316839084105072055066030161003831247388819570444425170318876813424834087392623612099340897691434866236330747490999492971946289637431317863845488786746997211613606463883847775263591044909453527328888659067788911901541121184693249695888909849643676511641988838521612887929119357235333269575728962807607766962802479123428400283632534086567940310179372797860019655106936973371029530954320133738365030912628209763819648704439838786868308772020860695950060734202012975064723221467341128667956441263514563521538158681906896920914379679544493265651486325637423645376716433686661351672143812602326012120736440227082454371598007147068835372050398039247674233440616958979089575237894767844451870451822510453165174617842767298738031988483997688821318758297217514794804079293304503502694811532637812114661856241957873070256639862654931516268361168023278482926722007430211869737915875352437459652657013272237349113426172599164561005046281021170329875652551892340713656303168281207773295373598466093644653259862930253165843757956777688011801570819125680445068162473225628464218847832795359391427160912590817858723381593020469286879518910025512766924059981872089622457828788357264350397610623501237468358621279225410677915847580223821036425890800978302224937975147011017865641782049623798570713052445546417097799200602388302510308689939228910528513750143466069901219726299476600891902354490151376186485440913906815348345747238809535942339360087696699048160149516036792918410607218460489367431931438929605605867397541723921076203862259748323349453231556739419418205276754216523872330589245752634079342723872491748274006739578783873363015149441015934901163732570025684277194199706376174833242923084620421324905304573274862442246951251791049810336169117035948289309298832055667145449143298198524075808010396161716929269925942819907019854122248340502518347933669448552886534071987450249755262729739733841971739739401813070624603086596728757965367503047039300683062984359716903230614066068927766198271643366665960175053904168193281879873942129110010367404281289394326386860151126072853083508722184110426586782190948726493354556463343732915911744145171690638687838818173999356798538743736068022843319525965039183593467129061046818786020160057303326073827763491428268084241932389302164575476952444308117670742906661595481748257772700404583610441113550665352910065807580446752824357818017557573574606037775220755743774202197111924144970442456488618443835654433880248332711913810596585237247682212258975490929421587800598203680377442005175100610982136050352876876229303161890801082970299372185919162471900594720104714736071551516665724359842682351659347716561519293537052735573454344979383251549157093167532936276809776173011301940674980573056798024657993718930838312821429998805230788389026653484388336880015337780940295524732888271010041515856481185655232185114442440836680926699982980733856977625214394768338765260557850103318641195459460811818762180202698015073677641859087168819240919482450205842711174853114365853887438198056112494119078816526409560431711186039639506491974071144540364724251574448764815228446601977038308090433498407868797761408270122168280343598553138309071342267069402207803430130498851421355914436116456682109676929713246312684391545686245887930212228872304143031599573237788412780364719242059835094555201099836679942622918810218057095421425552041838171146565053113477152293020525774327869370542760156043376600530580512950985691340305628460002988003065877075435554549598268443165782842887693197018880292234869582599244637059093432249838018557046968273338664013459729154069274569093371359453362432805763534540659753557761026750575842446067574633704432764857546805844361616272372628587723800693936905350591542662970673970608904351189765197932222798198818207442677908764291180076929311401807363692626795078855551495686490548973115529910387343131099362357155159837505680837795252414032228921955722567424843200357897985249286966978067315459529157685208564476908379401885643272562627075557718602834833378504619852246468313037018918706428405387368026745443660843666927691157167790424443591214283190389557689676701998584410819795293757926424156215189218729184851725425559251490968755380091785273682517390021182340940677246001188339932276086335495721985516096672152679972526829760178301811227356236911340437365631631382145238156312308495988292236584310637436769151502666227778803720239215602779986710680937059136978541914185859169060944163712513961677200100378862319642234541903322473761743516035063975228495874594017553310890655937141335379030231603009912640230413112779091128321822076409086006833441473924335473787195193841529017529730275875914150836940365897183372073090949218021589831372155231681834368783925206115597913636}
30251  601161950402215924671401848768389960879126879214653302832276689104908300951399905390884: {635061,756025,907230,967712,1088676,3353421,3475645,4170774,5524221,5651701,6066381,6493645,7150053,7792374,8039318,8668261,8905165,9637309,9855453,9934813,10215374,10686198,11484740,11812501,12292621,12383230,12555453,13111574,13633941,13781688,14172861,14192590,14283181,14386148,14859876,15504399,15916981,16095001,16124365,16424665,16641853,17025145,17031108,17287556,17523541,17599021,18730820,18993913,19125565,19349238,19587469,19709598,20430174,20551640,20624665,21530461,21812342,22422265,22476984,22572613,22950678,23120595,23561989,23619865,24119413,24531332,24661968,24749598,25033630,25286607,25774574,26209909,26906718,27193081,27237694,27613621,27744714,28343838,28466341,29255864,29707581,29780158,29896765,30040356,30832718,31290308,31954774,32246590,32625661,32898981,32912847,33484429,34145221,34965145,35044760,35466541,35552541,35876118,35885209,36132356,36357188,36415981,36820820,37429801,38535865,38695908,39032612,39425355,39427645,39448030,39569881,40282798,40687189,40939333,41254395,41434813,41958174,42053712,42067861,43387069,43460438,43480821,44004688,44046740,44184984,44700440,44797508,45365221,45982958,46243038,46369753,46478101,47310426,47313174,47337636,48687236,48870591,48947941,49112375,49319149,49325558,49505274,49695913,49708107,49859012,49977829,50287995,50714089,51360501,51738361,51938840,52022830,52554398,52856088,53354809,53640528,53976261,54827965,55021053,55164469,55713145,56597965,57187645,58019414,58099028,58179275,58282393,58431195,58580438,58671021,58934850,59145721,59192590,59463099,59847469,59975972,60345594,60955381,61016665,61147064,61694533,62086340,62326608,62427396,62863840,63612374,63789781,63996440,64665493,65284141,65689940,65793558,66013645,66408013,66716132,66855774,66964414,67039381,67917558,68067865,68625174,68790447,69235214,69332312,69697309,69815130,69847832,69925630,69931742,69947293,70095913,70117434,70721820,71031108,71144132,71227160,71620221,71995995,72463165,72544573,72565423,72808654,73219998,73777028,74469472,74503608,74606701,74942461,75436608,75508333,75597709,75735453,76010558,76795728,77542501,77725645,77773273,77998851,78578811,78827928,79216374,80130555,80696174,81681438,82393221,82393784,82799629,83113250,83178836,83326741,83557645,83686340,83778156,83816559,83910756,84761941,84866184,85233092,85472592,85595065,85679960,86395194,86915108,86955798,87489741,87734629,88266788,88562461,88681419,88938212,89965453,90200041,90278468,90682261,90825145,90874820,91044453,91092248,91405465,92008261,92603269,92693007,92855775,93270774,93577053,94062692,94244653,94302589,94816741,94868590,94901413,95187193,95308760,95474457,95752765,95997758,96156666,96194533,96221678,96389955,96519181,97432921,97489165,97617981,98321432,98631742,98667193,98803933,99046160,99419918,99513145,99735900,99884821,...,130209099080599688254300454784683615580706952767777984284798928750896015483295536877169646178975258626157608082599045241505746871083229355666637755478315220137251131088935418149011346537152299354496121236499239457919434456146976795768233180120495817420409695825771662895386567364180290993332988601683367852311681777039874543833364774465514767462983257782419331893679035852999904363593444211411650444203718685142600425448801129851910465269059196790029482660405460056544296431480200607547546368942314645729473056659758180302463158031291043925091101303019462597084832201011693001934661895271845282307238022860345381371569519316739898477229488456135468065074650529992027508215718903489018181104660340623681557397010720603253058075597058871511350160925438468634362856842151766677805677733765679747761926764150948107047982725996533231978137445826272192206118939956755254042217298956718171992784362936809605384959793982397274402541752034917724390083011145317804606873813028656189478985519908356023670139258898746841507569421531755494813478827838511070484454752421811659943060397699140466979889794395379748765636935166532017702356228688520667602243709838442696328271749193039087140741368886226788085072389530703930319278365038269150386089972808134433686743182535896525596415935251856202537931918838116016873771370335731554638836201467453337406962720516526798462673074435697856069578668319625646698800903582453765463034908843365792770625215199104851829589449214901337853531735227064279728161370860223022518620858214303913509040131545048572240224274055189377615910827690734051147897158394408408801096312585881614305793389622485024179847335109129127307915131324785808495883868628951119014085808737622411010109368175810044522724161523902351745598855038526415791299559564262249864384626930631987357956859912293663370426877686574715504253675553922433963948248083500718173714947297786113712015594242575393904888914229860529781183372510753777521900504172829329801107981175374632894094609600762957609609102719605936904629895093136948051254570558951024594476539575354845921099103391649297407465049998940262580856252289922819810913193665015551106421934091489580290226689109279625263083276165639880173286423089740031834695015599373867616217757535958031758227260999035197808115604102034264979288947558775390200693591570228179030240085954989110741645237142402126362898583953246863215428666462176506114359992393222622386659050606875415661670325998029365098711370670129236536727026336360361909056662831133615661303295667886217455663684732927665753481650820372499067870715894877855871523318388463236394132381700897305520566163007762650916473204075529315314343954742836201624455449058278878743707850892080157072104107327274998586539764023527489021574842278940305579103360181517469074877323735639751299404415214664259516952911012470859585197036986990578396257469232144998207846182583539980226582505320023006671410443287099332406515062273784721778482848277671663661255021390049974471100785466437821592152508147890836775154977961793189191217728143270304047022610516462788630753228861379223675308764066762279671548780831157297084168741178618224789614340647566779059459259737961106716810547086377361673147222842669902965557462135650247611803196642112405183252420515397829707463607013400604103311705145195748277132033871654174685023164515394569869469026587318529368831895318343308456214547399359856682619170547078863089752641832801649755019913934378215327085643132138328062757256719847579670215728439530788661491804055814140234065064900795870769426478537010458442690004482004598815613153331824397402664748674264331539795528320438352304373898866955588640148374757027835570452410007996020189593731103911853640057039180043649208645301810989630336641540125863763669101361950556649147286320208766542424408558942881585701040905358025887313994456010955913356526784647796898334197298227311164016863146436770115393967102711045538940192618283327243529735823459673294865581014696649043535732739756258521256692878621048343382933583851137264800536846977873930450467100973189293736527812846715362569102828464908843940613336577904252250067756929778369702469555528378059642608081052040118165491265500391536735751685636665386821424785584336534515052997876616229692940636889636234322783828093777277588138338877236453133070137677910523776085031773511411015869001782509898414129503243582978274145008229019958790244640267452716841034355367010656048447447073217857234468462743982438354876465956155153727253999341668205580358823404169980066021405588705467812871278788753591416245568770942515800150568293479463351812854983710642615274052595962842743811891026329966335983905712003068545347404514868960345619669168636692482733114613629010250162210886503210680792790762293526294595413813871226255410548845775058109636423827032384747058232847522751553175887809173396870454}
30252  603022974556078580763331261350387237843528120328820985812139765572857946082259324664380: {332651,846748,876467,1209640,1238651,1360845,1451568,1633014,2142851,2504027,2839082,3200882,3405707,4185707,4471228,4485347,4904507,5368658,5442851,5561032,5801387,6256161,6696467,6810962,7173107,7232651,7365628,7887107,7891178,8065427,8088508,8250962,8777987,9533404,9903851,10389832,10765418,11144867,11321867,11482538,11616707,11688561,11970251,12058977,12500027,12911627,13140604,13381547,13792307,14248264,14345258,14355925,14612651,14846747,15323061,16029297,16740604,16889627,17227110,17982685,18178588,18342827,18375584,18574845,18897148,18980651,19328147,19667361,19813168,20195627,20672532,21288885,21579222,21609445,22155251,22289814,22672427,22708144,22878122,23413525,23819387,24220067,24391667,25077347,25362707,25546662,25598881,25689550,25703978,25798984,25931334,26279464,26957027,27240232,27465458,27581651,28096230,28771427,29023857,29223338,29506187,29564397,29844851,29969312,30126851,30276338,30600904,30645261,30664165,30690251,30827460,30971651,32711867,32718513,32879867,32882624,32999464,33495251,33715476,34426017,34667387,34824362,35669267,35724851,35875624,36567122,36569830,36796998,36992952,37124397,37388651,37550445,37720547,37791784,38162627,38504102,38661861,39112885,39610108,39650867,39870851,40041842,40053808,40360077,40388522,40639787,40856541,41461907,41617071,42008987,42465578,42515757,42609851,42937187,43100747,43754267,43805950,43865308,43883796,44460947,44670237,45060534,45165445,45383027,45446485,46026025,46086587,46249077,46410851,46935462,46948082,47403388,47834824,47932161,48322418,48350387,48369885,48665642,48790765,49351658,49958747,50119187,50721962,50920307,51594544,51826067,52089962,52567140,53455658,53503681,53814177,53895251,54198534,54535782,54740627,55005860,55058425,55231230,55499882,55794467,55840082,55875550,55944232,55996885,56071616,57974428,58043862,58310627,58548918,58832507,58913312,59172045,59572778,59873867,60185651,60237587,60424197,60497147,60665773,60859045,61116853,61263698,61657384,62256851,62323765,62937261,63030251,63080568,63084232,63116848,63493427,63961682,64298282,64520387,64571651,64923550,65135027,65160788,65190657,65595251,66007032,66070110,66277476,67050660,67196262,68342987,68480668,68697467,68974437,68995562,69364557,69455089,69455747,70474784,70665251,70666322,70965639,70969761,71000042,71006454,71333618,71368667,71520704,71968348,72094561,72420851,72623785,73030854,73361404,73442941,73668851,73988337,74257911,74661458,74663651,74713307,74788518,74969965,75325298,76433830,76939547,77607925,77908260,77923787,78034245,78228028,78579800,78831597,79284132,79705717,79995550,80460792,80613947,81003227,81051851,81731747,82022651,82112425,82589522,82748651,83102144,83231651,83236528,83395165,84387587,86031253,86195498,86351651,86665390,86780987,87029121,87066851,87148542,87309790,87724744,87870657,87970187,88254851,88402275,88788885,88917947,88930165,88965251,89033950,89132882,89141032,89673851,89963958,90333587,90380651,90518391,90556744,90615851,90662867,91038707,91085651,91500232,91601507,91720596,91734098,92058602,92221285,92390977,92707178,92910227,93086840,93129510,93489912,93641094,94295760,94305467,94537307,94583651,94708144,95000387,95277851,95418561,95493628,95555027,95994660,97553138,97626664,98036651,98534910,98690337,98839922,99132107,99338144,...,195313648620899532381450682177025423371060429151666976427198393126344023224943305315754469268462887939236412123898567862258620306624844033499956633217472830205876696633403127223517019805728449031744181854748859186879151684220465193652349770180743726130614543738657494343079851046270436489999482902525051778467522665559811815750047161698272151194474886673628997840518553779499856545390166317117475666305578027713900638173201694777865697903588795185044223990608190084816444647220300911321319553413471968594209584989637270453694737046936565887636651954529193895627248301517539502901992842907767923460857034290518072057354278975109847715844232684203202097611975794988041262323578355233527271656990510935522336095516080904879587113395588307267025241388157702951544285263227650016708516600648519621642890146226422160571974088994799847967206168739408288309178409935132881063325948435077257989176544405214408077439690973595911603812628052376586585124516717976706910310719542984284218478279862534035505208888348120262261354132297633242220218241757766605726682128632717489914590596548710700469834691593069623148455402749798026553534343032781001403365564757664044492407623789558630711112053329340182127608584296055895478917547557403725579134959212201650530114773803844788394623902877784303806897878257174025310657055503597331958254302201180006110444080774790197694009611653546784104368002479438470048201355373680648194552363265048689155937822798657277744384173822352006780297602840596419592242056290334533777931287321455870263560197317572858360336411082784066423866241536101076721845737591612613201644468878822421458690084433727536269771002663693690961872696987178712743825802943426678521128713106433616515164052263715066784086242285853527618398282557789623686949339346393374796576940395947981036935289868440495055640316529862073256380513330883650945922372125251077260572420946679170568023391363863090857333371344790794671775058766130666282850756259243994701661971763061949341141914401144436414413654079408905356944842639705422076881855838426536891714809363032268881648655087473946111197574998410393871284378434884229716369790497523326659632901137234370435340033663919437894624914248459820259929634634610047752042523399060801424326636303937047637340891498552796712173406153051397468933421338163085301040387355342268545360128932483666112467855713603189544347875929870294823142999693264759171539988589833933579988575910313123492505488997044047648067056005193854805090539504540542863584994246700423491954943501829326183495527099391498630222476230558748601806073842316783807284977582694854591198572551345958280849244511643976374709806113293972971515932114254302436683173587418318115561776338120235608156160990912497879809646035291233532362263418410458368655040272276203612315985603459626949106622821996389275429366518706289377795555480485867594386203848217497311769273875309970339873757980034510007115664930648998609772593410677082667724272416507495491882532085074961706651178199656732388228762221836255162732466942689783786826592214905456070533915774694182946129843292068835512963146100143419507323171246735945626253111767927337184421510971350168589188889606941660075215820629566042509720834264004854448336193203475371417704794963168607774878630773096744561195410520100906154967557717793622415698050807481262027534746773091854804203539880977794053247842977514962684321821099039785023928755820618294634628962749202474632529870901567322990628464698207492094135885079771369505323592659296182992237706083721210351097597351193806154139717805515687664035006723006898223419729997736596103997123011396497309693292480657528456560848300433382960222562135541753355678615011994030284390596655867780460085558770065473812967952716484445504962310188795645503652042925834973720929480313149813636612838414322378551561358037038830970991684016433870034790176971695347501295947340966746025294719655155173090950654066568308410288927424990865294603735189509942298371522044973565303599109634387781885039317931572515074400375776705897200805270466810895675700651459783940604791719270073043853654242697363265910920004866856378375101635394667554553704333292567089463912121578060177248236898250587305103627528454998080232137178376504801772579496814924344539410955334454351484175742140665916382207508315854679699605206516865785664127547660267116523803502673764847621194254865374467411217512343529938185366960401179075261551533050515984072671170609826785851702694115973657532314698934232730590880999012502308370538235106254970099032108383058201719306918183130387124368353156413773700225852440219195027719282475565963922911078893944264115717836539494949503975858568004602818021106772303440518429503752955038724099671920443515375243316329754816021189186143440289441893120720806839383115823268662587164454635740548577120587349271284127329763831713760095305681}
30253  604889726457664177805042316583495075238389212247150521115542489960653189773283430732333: {30253,1058435,1270122,1512050,1814460,1935424,2177352,2449521,4258623,4801323,4865903,5589035,6316607,6679283,6706842,6951290,8052987,8341548,9091103,9207035,10110635,10216443,10301951,11048442,11303402,11389547,11836767,11916755,12132762,12376443,12467231,12987290,13202207,14300106,14527643,15584748,16078636,16148127,16425755,16880123,17223807,17336522,17789567,17810330,19274618,19710906,19869626,20251451,20430748,20798843,20925755,21228491,21372396,21517887,22574111,22723235,22969480,22994531,23148827,23621435,23625002,23835203,24225707,24585242,24766460,25110906,25840665,26223148,26775791,26956991,27267882,27563376,27845987,28345722,28385180,28566362,28772296,28874531,29719752,29854943,30392267,30975347,31008798,31391171,31833962,32190002,32248730,32368833,32390651,32849330,33067811,33283706,33434721,34050290,34062216,34147487,34317183,34362491,34575112,35047082,35198042,36129467,37461640,37635707,37987826,38251130,38319993,38360051,38534325,38555967,38698476,38897001,39174938,39419196,39572507,40353443,40860348,41103280,41198187,41249330,41833307,41855471,41915003,42144345,42327107,43060922,43624684,43835007,44844530,44953968,45145226,45414507,45901356,46027487,46241190,47123978,47239730,48238826,48951203,49062664,49323936,49499196,49512635,49567667,49699211,49716563,49981151,50067260,50573214,51275627,51549148,52236543,52419818,52463891,52762883,53187947,53613443,53813436,53950211,54386162,54475388,54831635,54850683,54854745,55195497,55198703,55227242,55489428,55542491,56687676,56932682,57034451,57756153,57825227,58286267,58511728,59064707,59254235,59415162,59560316,59793530,60062763,60080712,60582783,61665436,62580616,63698367,63909548,64493180,65005331,65251322,65708925,65797962,65825694,66968858,67226723,67590801,68290442,68757325,69930290,70089520,70403193,70422123,70728827,70933082,71105082,71119211,71752236,71770418,72264712,72468035,72483627,72714376,72831962,72998463,73641640,74027487,74859602,74926367,75387923,75602747,76082943,76759151,77071730,77391816,77547647,77998403,78065224,78134943,78342491,78850710,78855290,78896060,79139762,79237151,80062703,80183487,80565596,81297801,81374378,81450985,81803673,81878666,82369547,82508790,82846845,82869626,83136947,83249823,83760123,83813325,83916348,84107424,84135722,85423331,85600835,86774138,86920876,86961642,87065793,87823377,87930863,88009376,88090451,88093480,88369968,88568363,89342747,89359167,89400880,89595016,89960435,90206027,90730442,91701755,91895547,91965916,92014367,92419103,92486076,92538443,92739506,92956202,93129887,93262367,94600043,94620852,94626348,94675272,94907711,95295011,95942523,96169967,96200927,96447423,97374472,97385325,97439387,97600787,97741182,97785035,97854107,97895882,98224750,98638298,98651116,99010548,99105165,99391826,99416214,99718024,99955658,...,260418198161199376508600909569367231161413905535555968569597857501792030966591073754339292357950517252315216165198090483011493742166458711333275510956630440274502262177870836298022693074304598708992242472998478915838868912293953591536466360240991634840819391651543325790773134728360581986665977203366735704623363554079749087666729548931029534925966515564838663787358071705999808727186888422823300888407437370285200850897602259703820930538118393580058965320810920113088592862960401215095092737884629291458946113319516360604926316062582087850182202606038925194169664402023386003869323790543690564614476045720690762743139038633479796954458976912270936130149301059984055016431437806978036362209320681247363114794021441206506116151194117743022700321850876937268725713684303533355611355467531359495523853528301896214095965451993066463956274891652544384412237879913510508084434597913436343985568725873619210769919587964794548805083504069835448780166022290635609213747626057312378957971039816712047340278517797493683015138843063510989626957655677022140968909504843623319886120795398280933959779588790759497531273870333064035404712457377041335204487419676885392656543498386078174281482737772453576170144779061407860638556730076538300772179945616268867373486365071793051192831870503712405075863837676232033747542740671463109277672402934906674813925441033053596925346148871395712139157336639251293397601807164907530926069817686731585541250430398209703659178898429802675707063470454128559456322741720446045037241716428607827018080263090097144480448548110378755231821655381468102295794316788816817602192625171763228611586779244970048359694670218258254615830262649571616991767737257902238028171617475244822020218736351620089045448323047804703491197710077052831582599119128524499728769253861263974715913719824587326740853755373149431008507351107844867927896496167001436347429894595572227424031188485150787809777828459721059562366745021507555043801008345658659602215962350749265788189219201525915219218205439211873809259790186273896102509141117902049188953079150709691842198206783298594814930099997880525161712504579845639621826387330031102212843868182979160580453378218559250526166552331279760346572846179480063669390031198747735232435515071916063516454521998070395616231208204068529958577895117550780401387183140456358060480171909978221483290474284804252725797167906493726430857332924353012228719984786445244773318101213750831323340651996058730197422741340258473073454052672720723818113325662267231322606591335772434911327369465855331506963301640744998135741431789755711743046636776926472788264763401794611041132326015525301832946408151058630628687909485672403248910898116557757487415701784160314144208214654549997173079528047054978043149684557880611158206720363034938149754647471279502598808830429328519033905822024941719170394073973981156792514938464289996415692365167079960453165010640046013342820886574198664813030124547569443556965696555343327322510042780099948942201570932875643184305016295781673550309955923586378382435456286540608094045221032925577261506457722758447350617528133524559343097561662314594168337482357236449579228681295133558118918519475922213433621094172754723346294445685339805931114924271300495223606393284224810366504841030795659414927214026801208206623410290391496554264067743308349370046329030789139738938053174637058737663790636686616912429094798719713365238341094157726179505283665603299510039827868756430654171286264276656125514513439695159340431456879061577322983608111628280468130129801591741538852957074020916885380008964009197631226306663648794805329497348528663079591056640876704608747797733911177280296749514055671140904820015992040379187462207823707280114078360087298417290603621979260673283080251727527338202723901113298294572640417533084848817117885763171402081810716051774627988912021911826713053569295593796668394596454622328033726292873540230787934205422091077880385236566654487059471646919346589731162029393298087071465479512517042513385757242096686765867167702274529601073693955747860900934201946378587473055625693430725138205656929817687881226673155808504500135513859556739404939111056756119285216162104080236330982531000783073471503371273330773642849571168673069030105995753232459385881273779272468645567656187554555176276677754472906266140275355821047552170063547022822031738003565019796828259006487165956548290016458039917580489280534905433682068710734021312096894894146435714468936925487964876709752931912310307454507998683336411160717646808339960132042811177410935625742557577507182832491137541885031600301136586958926703625709967421285230548105191925685487623782052659932671967811424006137090694809029737920691239338337273384965466229227258020500324421773006421361585581524587052589190827627742452510821097691550116219272847654064769494116465695045503106351775618346793740908}
30254  606762223633063854490327542030914961761544873429859993816747490961441949578855371765189: {393133,665302,936913,1299073,1693496,1752934,1905183,2022529,2203213,2268075,2419280,2477302,2721690,2903136,3266028,4285702,4545553,4725229,4904833,5008054,5678164,6401764,6811414,7233133,8125393,8371414,8942456,8970694,9193729,9809014,10060263,10082029,10426935,10737316,10885702,11122064,11145613,11602774,12512322,12559693,13392934,13621924,14346214,14465302,14731256,15774214,15782356,16130854,16177016,16501924,16572663,16948993,16955103,17555974,18169933,18199143,19039873,19066808,19480935,19807702,19908013,20098295,20779664,21450159,21466129,21530836,22289734,22643734,22965076,23233414,23377122,23878273,23940502,24117954,25000054,25079053,25175759,25538435,25823254,26004783,26281208,26617729,26715495,26763094,27584614,28320529,28496528,28690516,28711850,28911927,29225302,29566359,29693494,29804439,30185293,30253223,30646122,30958075,31030033,31704529,32058594,32546029,32714113,32778935,33481208,33553453,33779254,34454220,35437503,35481475,35727313,35894029,35965370,36357176,36685654,36751168,36877863,37149690,37666359,37794296,37961302,38220493,38386129,38656294,39334722,39626336,40391254,40901823,41345064,41683729,42518583,42577770,42667393,42849543,42929831,43158444,43218890,43974913,44301073,44310502,44579628,44952529,45344854,45416288,45756244,45765229,46513197,46576129,46827050,47385229,47546833,47638774,47750943,48285003,48373095,48440134,48783334,49273995,49641133,49925559,50154694,50603629,50725414,51075435,51093324,51197762,51379100,51407956,51597968,51862668,52558928,52570623,52797063,52839373,52998529,53914054,54480464,54530855,54758039,54930916,55163302,56192460,56981739,57376695,57542854,57896653,58047714,58446676,58762407,59012374,59128794,59689702,59930113,59938624,60241873,60253702,60552676,61201808,61290522,61328330,61380502,61654920,61796353,61873995,61943302,62584075,63231623,63625079,63960529,64114573,64436435,64576273,64591383,65423734,65437026,65759734,65765248,65998928,66110593,66990502,67266795,67430952,67717839,67790029,68094235,68307071,68852034,69334774,69361785,69460753,69648724,69914893,70685967,70821229,70859595,71338534,71449702,71751248,72358239,73134244,73139660,73593996,73674193,73985904,74248794,74450395,74718733,74777302,75100890,75441094,75583568,75859821,76056529,76325254,76797229,77008204,77081795,77323722,78225770,78273229,78395639,78629727,79008529,79220216,79301734,79741702,79742029,79886935,80083684,80107616,80616475,80720154,80777044,81057793,81279574,81579243,81713082,81786253,82083287,82840863,82923814,83234142,84017974,84931156,85031514,85202663,85219702,85399023,85688833,85874374,86119213,86201494,86262529,86796203,87253271,87508534,87611900,87730616,87767592,88921894,88971853,89113729,89122743,89340474,89690295,90121068,90330890,90387373,90669613,90766054,90892970,91092433,92052050,92076493,92173174,92498154,92821702,93870924,93896164,94034029,94590733,94806776,95284993,95669648,95864322,96115729,96253933,96644836,96700774,96739770,97331284,97581530,97876983,98181229,98620075,98696943,98703316,98738541,99917494,...,390627297241799064762901364354050846742120858303333952854396786252688046449886610631508938536925775878472824247797135724517240613249688066999913266434945660411753393266806254447034039611456898063488363709497718373758303368440930387304699540361487452261229087477314988686159702092540872979998965805050103556935045331119623631500094323396544302388949773347257995681037107558999713090780332634234951332611156055427801276346403389555731395807177590370088447981216380169632889294440601822642639106826943937188419169979274540907389474093873131775273303909058387791254496603035079005803985685815535846921714068581036144114708557950219695431688465368406404195223951589976082524647156710467054543313981021871044672191032161809759174226791176614534050482776315405903088570526455300033417033201297039243285780292452844321143948177989599695934412337478816576618356819870265762126651896870154515978353088810428816154879381947191823207625256104753173170249033435953413820621439085968568436956559725068071010417776696240524522708264595266484440436483515533211453364257265434979829181193097421400939669383186139246296910805499596053107068686065562002806731129515328088984815247579117261422224106658680364255217168592111790957835095114807451158269918424403301060229547607689576789247805755568607613795756514348050621314111007194663916508604402360012220888161549580395388019223307093568208736004958876940096402710747361296389104726530097378311875645597314555488768347644704013560595205681192839184484112580669067555862574642911740527120394635145716720672822165568132847732483072202153443691475183225226403288937757644842917380168867455072539542005327387381923745393974357425487651605886853357042257426212867233030328104527430133568172484571707055236796565115579247373898678692786749593153880791895962073870579736880990111280633059724146512761026661767301891844744250502154521144841893358341136046782727726181714666742689581589343550117532261332565701512518487989403323943526123898682283828802288872828827308158817810713889685279410844153763711676853073783429618726064537763297310174947892222395149996820787742568756869768459432739580995046653319265802274468740870680067327838875789249828496919640519859269269220095504085046798121602848653272607874095274681782997105593424346812306102794937866842676326170602080774710684537090720257864967332224935711427206379088695751859740589646285999386529518343079977179667867159977151820626246985010977994088095296134112010387709610181079009081085727169988493400846983909887003658652366991054198782997260444952461117497203612147684633567614569955165389709182397145102691916561698489023287952749419612226587945943031864228508604873366347174836636231123552676240471216312321981824995759619292070582467064724526836820916737310080544552407224631971206919253898213245643992778550858733037412578755591110960971735188772407696434994623538547750619940679747515960069020014231329861297997219545186821354165335448544833014990983765064170149923413302356399313464776457524443672510325464933885379567573653184429810912141067831549388365892259686584137671025926292200286839014646342493471891252506223535854674368843021942700337178377779213883320150431641259132085019441668528009708896672386406950742835409589926337215549757261546193489122390821040201812309935115435587244831396101614962524055069493546183709608407079761955588106495685955029925368643642198079570047857511641236589269257925498404949265059741803134645981256929396414984188271770159542739010647185318592365984475412167442420702195194702387612308279435611031375328070013446013796446839459995473192207994246022792994619386584961315056913121696600866765920445124271083506711357230023988060568781193311735560920171117540130947625935905432968891009924620377591291007304085851669947441858960626299627273225676828644757103122716074077661941983368032867740069580353943390695002591894681933492050589439310310346181901308133136616820577854849981730589207470379019884596743044089947130607198219268775563770078635863145030148800751553411794401610540933621791351401302919567881209583438540146087707308485394726531821840009733712756750203270789335109107408666585134178927824243156120354496473796501174610207255056909996160464274356753009603545158993629848689078821910668908702968351484281331832764415016631709359399210413033731571328255095320534233047607005347529695242388509730748934822435024687059876370733920802358150523103066101031968145342341219653571703405388231947315064629397868465461181761998025004616741076470212509940198064216766116403438613836366260774248736706312827547400451704880438390055438564951131927845822157787888528231435673078989899007951717136009205636042213544606881036859007505910077448199343840887030750486632659509632042378372286880578883786241441613678766231646537325174328909271481097154241174698542568254659527663427520190611362}
30255  608640483661684263492255828599428307242615555329027793387568172751304405156983267763537: {60506,997953,1481809,2116870,2540244,2629401,3024100,3628920,3715953,3870848,4082535,4354704,4899042,6428553,7097705,7465081,7512081,7824649,8002205,8517246,9602646,9731806,10217121,11178070,12175033,12557121,12633214,12889849,13358566,13413684,13421645,13456041,13621553,13902580,14154889,14713521,15611849,16105974,16328553,16683096,16683457,17027405,17404161,18182206,18414070,18768483,19727945,20089401,20145401,20221270,20432886,20603902,20627405,21047309,21519321,21697953,22096884,22606804,22779094,22996057,23661321,23673534,23833510,23933533,24196281,24265524,24752886,24934462,25395677,25974580,26333961,26404414,26913545,27536993,28600212,28630381,28706345,29055286,29296057,29711553,31169496,31812529,32157272,32296254,32851510,33070009,33434601,33760246,33965601,34447614,34624489,34673044,34850121,35065683,35471249,35579134,35620660,35863145,35910753,36176931,37500081,38405137,38549236,38734881,39421812,39739252,40144641,40231273,40356121,40502902,40861496,41317789,41376921,41597686,41851510,42456982,42698461,42744792,43035774,43067775,43392833,43837953,44540241,45148222,45446470,45938960,45969183,45989062,46297654,47242870,47250004,47670406,48087891,48451414,49170484,49252913,49532920,50221812,50668881,51681330,51745229,52446296,53551582,53913982,53948055,54396121,54535764,55028481,55126752,55546177,55691974,55724535,55782481,56691444,56770360,56941953,57132724,57195305,57225113,57544592,57749062,57984441,58970281,59002083,59068633,59439504,59709886,60586881,60784534,61950694,62017596,62782342,63667924,63866655,64223875,64259945,64380004,64497460,64737666,64781302,64828335,65111849,65539853,65698660,66135622,66465753,66567412,66625649,66869442,68017281,68100580,68124432,68294974,68634366,68663645,68724982,69150224,69317689,70094164,70240575,70396084,71458161,72258934,72653017,72660201,73058345,73175001,74923280,75232041,75271414,75690845,75975652,76088121,76215437,76502260,76639986,76720102,76764289,76796643,76918193,77068650,77111934,77396952,77783597,77794002,78279281,78349876,78838392,79145014,79486177,80706886,80871081,81720696,82206560,82396374,82498660,82744953,82955929,83666614,83710942,83830006,84288690,84654214,85371569,86121844,86314281,87060905,87071571,87249368,87670014,88096297,88518561,88693191,89348701,89534553,89689060,89907936,90290452,90380553,90829014,91417805,91424575,91469537,91802712,91935783,91992495,92054974,92070753,92482380,92914953,93459257,94247956,94479460,94606321,96260255,96477652,97562609,97902406,98125328,98135601,98155539,98639601,98647872,98680301,98998392,99025270,99135334,99398422,99433126,99962302,...,585940945862698597144352046531076270113181287455000929281595179379032069674829915947263407805388663817709236371695703586775860919874532100499869899652418490617630089900209381670551059417185347095232545564246577560637455052661395580957049310542231178391843631215972483029239553138811309469998448707575155335402567996679435447250141485094816453583424660020886993521555661338499569636170498951352426998916734083141701914519605084333597093710766385555132671971824570254449333941660902733963958660240415905782628754968911811361084211140809697662909955863587581686881744904552618508705978528723303770382571102871554216172062836925329543147532698052609606292835927384964123786970735065700581814970971532806567008286548242714638761340186764921801075724164473108854632855789682950050125549801945558864928670438679266481715922266984399543901618506218224864927535229805398643189977845305231773967529633215643224232319072920787734811437884157129759755373550153930120730932158628952852655434839587602106515626665044360786784062396892899726660654725273299817180046385898152469743771789646132101409504074779208869445366208249394079660603029098343004210096694272992133477222871368675892133336159988020546382825752888167686436752642672211176737404877636604951590344321411534365183871708633352911420693634771522075931971166510791995874762906603540018331332242324370593082028834960640352313104007438315410144604066121041944583657089795146067467813468395971833233152521467056020340892808521789258776726168871003601333793861964367610790680591952718575081009233248352199271598724608303230165537212774837839604933406636467264376070253301182608809313007991081072885618090961536138231477408830280035563386139319300849545492156791145200352258726857560582855194847673368871060848018039180124389730821187843943110805869605321485166920949589586219769141539992650952837767116375753231781717262840037511704070174091589272572000114034372384015325176298391998848552268777731984104985915289185848023425743203433309243240962238226716070834527919116266230645567515279610675144428089096806644945965262421838333592724995231181613853135304652689149109371492569979978898703411703111306020100991758313683874742745379460779788903903830143256127570197182404272979908911811142912022674495658390136520218459154192406800264014489255903121162066026805636080386797450998337403567140809568633043627789610884469428999079794277514619965769501800739965727730939370477516466991132142944201168015581564415271618513621628590754982740101270475864830505487978550486581298174495890667428691676245805418221526950351421854932748084563773595717654037874842547733534931929124129418339881918914547796342762907310049520762254954346685329014360706824468482972737493639428938105873700597086790255231375105965120816828610836947956810378880847319868465989167826288099556118868133386666441457602783158611544652491935307821625929911019621273940103530021346994791946995829317780232031248003172817249522486475647596255224885119953534598970197164686286665508765488197400828069351360479776644716368211601747324082548838389529876206506538889438300430258521969513740207836878759335303782011553264532914050505767566668820824980225647461888698127529162502792014563345008579610426114253114384889505823324635892319290233683586231560302718464902673153380867247094152422443786082604240319275564412610619642933382159743528932544888052965463297119355071786267461854883903886888247607423897589612704701968971885394094622476282407655239314108515970777977888548976713118251163631053292792053581418462419153416547062992105020169020694670259189993209788311991369034189491929079877441972585369682544901300148880667686406625260067035845035982090853171789967603341380256676310196421438903858149453336514886930566386936510956128777504921162788440939449440909838515242967135654684074111116492912975052049301610104370530915086042503887842022900238075884158965465519272851962199704925230866782274972595883811205568529826895114566134920695910797328903163345655117953794717545223201127330117691602415811400432687027101954379351821814375157810219131560962728092089797732760014600569135125304906184002663661112999877701268391736364734180531744710694751761915310882585364994240696411535129514405317738490444773033618232866003363054452527226421997749146622524947564039098815619550597356992382642980801349571410508021294542863582764596123402233652537030589814556100881203537225784654599151547952218013511829480357555108082347920972596944096802698191772642997037506925111614705318764910297096325149174605157920754549391161373105059469241321100677557320657585083157847426697891768733236681832792347153509618484848511927575704013808454063320316910321555288511258865116172299015761330546125729948989264448063567558430320868325679362162420518149347469805987761493363907221645731361762047813852381989291495141280285917043}
30256  610524524176408816959565507182588808782678805990409452000805806489342713407512476696849: {90759,786266,1330604,1600759,1781623,1873826,2598146,3175305,3386992,3505868,3780125,3810366,4045058,4126303,4406426,4536150,4838560,4954604,5024863,5443380,5806272,5921623,6532056,6816583,7348563,8571404,9091106,9450458,9809666,10016108,11356328,11441359,11618263,12501703,12775869,12803528,13622828,13911463,14403969,14466266,14597709,14965759,16250786,16742828,16767105,17378225,17415703,17590159,17884912,17941388,18387458,18949821,19618028,20037849,20120526,20164058,20198359,20853870,21237103,21474632,21771404,22244128,22291226,22790359,23205548,24158961,24337783,25024644,25119386,25194943,26785868,27243848,27244783,27273309,27621105,27925759,28137613,28258505,28692428,28930604,29462512,29623159,30331905,30638143,30649329,30905853,31548428,31564712,32155759,32261708,32324023,32354032,32468225,33003848,33145326,33897986,33910206,34168641,34672159,35111948,35507359,35510301,35674183,35750265,35753809,36339866,36398286,37006183,37129329,37401693,37836343,38079746,38133616,38961870,39606621,39615404,39816026,40196590,40226813,41467663,41559328,42900318,42932258,43061672,43341305,43582929,44525825,44575759,44579468,44738623,45287468,45890509,45930152,46038943,46201159,46466828,46754244,46849303,47756546,47881004,48186545,48235908,48444381,48464623,48786823,49277265,49674065,50000108,50158106,50351518,50640369,51076870,51646508,51671421,51833359,52009566,52471423,52562416,53235458,53368701,53430990,53526188,54061543,55169228,55170343,55802359,55960183,56641058,56993056,57220183,57381032,57423700,57823854,58450604,59062505,59132718,59386988,59608878,60370586,60506446,60754353,61292244,61463105,61916150,62060066,62396529,62678503,62777265,63409058,63605359,63685473,64117188,64529623,64553661,65092058,65297863,65428226,65557870,66962416,67106906,67558508,67722333,68048623,68169705,68808583,68908440,68983593,69446481,70864305,70875006,70962950,71415905,71454626,71505609,71788058,71930740,72131023,72677121,72714352,73371308,73502336,73755726,74299380,75121183,75332718,75588592,75922604,76309183,76343197,76440986,76772258,77312588,77344903,77521995,78669444,79252672,79584905,79991983,80327373,80475005,80621825,80723143,80782508,80870973,81803646,82123325,82690128,83209265,83367458,83537961,84077213,85037166,85125725,85155540,85334786,85699086,85859662,86316888,86437780,86623593,87617705,87949826,87995105,88602146,88621004,89159256,89564829,89639983,89905058,90211009,90689708,90832576,91176801,91474543,91512488,91530458,92926041,93026394,93152258,93654100,94173513,94273183,94412359,94551463,94770458,94968343,94969565,95093666,95277548,95331929,95501886,95627825,96040769,96491359,96570006,96746190,96880268,97007521,97106499,97171953,97318423,97566668,97937345,98547990,99203433,99282266,99784063,99851118,...,781254594483598129525802728708101693484241716606667905708793572505376092899773221263017877073851551756945648495594271449034481226499376133999826532869891320823506786533612508894068079222913796126976727418995436747516606736881860774609399080722974904522458174954629977372319404185081745959997931610100207113870090662239247263000188646793088604777899546694515991362074215117999426181560665268469902665222312110855602552692806779111462791614355180740176895962432760339265778588881203645285278213653887874376838339958549081814778948187746263550546607818116775582508993206070158011607971371631071693843428137162072288229417115900439390863376930736812808390447903179952165049294313420934109086627962043742089344382064323619518348453582353229068100965552630811806177141052910600066834066402594078486571560584905688642287896355979199391868824674957633153236713639740531524253303793740309031956706177620857632309758763894383646415250512209506346340498066871906827641242878171937136873913119450136142020835553392481049045416529190532968880872967031066422906728514530869959658362386194842801879338766372278492593821610999192106214137372131124005613462259030656177969630495158234522844448213317360728510434337184223581915670190229614902316539836848806602120459095215379153578495611511137215227591513028696101242628222014389327833017208804720024441776323099160790776038446614187136417472009917753880192805421494722592778209453060194756623751291194629110977536695289408027121190411362385678368968225161338135111725149285823481054240789270291433441345644331136265695464966144404306887382950366450452806577875515289685834760337734910145079084010654774763847490787948714850975303211773706714084514852425734466060656209054860267136344969143414110473593130231158494747797357385573499186307761583791924147741159473761980222561266119448293025522053323534603783689488501004309042289683786716682272093565455452363429333485379163178687100235064522665131403025036975978806647887052247797364567657604577745657654616317635621427779370558821688307527423353706147566859237452129075526594620349895784444790299993641575485137513739536918865479161990093306638531604548937481741360134655677751578499656993839281039718538538440191008170093596243205697306545215748190549363565994211186848693624612205589875733685352652341204161549421369074181440515729934664449871422854412758177391503719481179292571998773059036686159954359335734319954303641252493970021955988176190592268224020775419220362158018162171454339976986801693967819774007317304733982108397565994520889904922234994407224295369267135229139910330779418364794290205383833123396978046575905498839224453175891886063728457017209746732694349673272462247105352480942432624643963649991519238584141164934129449053673641833474620161089104814449263942413838507796426491287985557101717466074825157511182221921943470377544815392869989247077095501239881359495031920138040028462659722595994439090373642708330670897089666029981967530128340299846826604712798626929552915048887345020650929867770759135147306368859621824282135663098776731784519373168275342051852584400573678029292684986943782505012447071709348737686043885400674356755558427766640300863282518264170038883337056019417793344772813901485670819179852674431099514523092386978244781642080403624619870230871174489662792203229925048110138987092367419216814159523911176212991371910059850737287284396159140095715023282473178538515850996809898530119483606269291962513858792829968376543540319085478021294370637184731968950824334884841404390389404775224616558871222062750656140026892027592893678919990946384415988492045585989238773169922630113826243393201733531840890248542167013422714460047976121137562386623471121840342235080261895251871810865937782019849240755182582014608171703339894883717921252599254546451353657289514206245432148155323883966736065735480139160707886781390005183789363866984101178878620620692363802616266273233641155709699963461178414940758039769193486088179894261214396438537551127540157271726290060297601503106823588803221081867243582702802605839135762419166877080292175414616970789453063643680019467425513500406541578670218214817333170268357855648486312240708992947593002349220414510113819992320928548713506019207090317987259697378157643821337817405936702968562663665528830033263418718798420826067463142656510190641068466095214010695059390484777019461497869644870049374119752741467841604716301046206132202063936290684682439307143406810776463894630129258795736930922363523996050009233482152940425019880396128433532232806877227672732521548497473412625655094800903409760876780110877129902263855691644315575777056462871346157979798015903434272018411272084427089213762073718015011820154896398687681774061500973265319019264084756744573761157767572482883227357532463293074650348657818542962194308482349397085136509319055326855040381222724}
30257  612414362863759416838302934666667746962547125972979020974645896034585291315676070333590: {121012,1179399,1663255,1995906,2810739,2963618,3897219,4233740,4382335,5080488,5258802,5715549,6048200,6067587,6193255,6609639,6804225,7257840,7431906,7646419,7741696,8165070,8709408,8734447,9798084,9936787,10714255,11203087,12520135,12857106,13636659,14175687,14195410,14286019,14714499,14894023,14930162,15024162,15649298,15981619,16004410,16098199,17028535,17034492,18450367,18790303,18997687,19205292,19463612,19591363,20434242,20928535,21534739,21699399,22074007,22356140,22426735,23523463,23838367,24350066,24376179,24522535,25114242,25266428,25697647,25779698,26717132,26827368,26843290,26912082,27147103,27198487,27214255,27243106,27581187,27619123,27805160,28309778,28878367,29006935,29427042,30180789,30246087,30271543,31223698,31280805,32211948,32543719,32632147,32657106,33366192,33366914,33436839,33482335,34054810,34808322,35473603,35865535,35892343,36134263,36163255,36364412,36413983,36790639,36828140,37455319,37536966,37678963,37679079,39435535,39455890,40178802,40188883,40290802,40327135,40442540,40506223,40865772,41136703,41207804,41254810,41920567,42076243,42094618,43038642,43395906,43889935,44193768,45213608,45374263,45558188,45992114,47322642,47347068,47667020,47867066,48392562,48531048,49328983,49505772,49519255,49717989,49868924,50208403,50640319,50791354,50846979,50865309,51282439,51619159,51748663,51949160,51963703,52667922,52769887,52808828,53827090,54509799,54597429,54811927,55073986,55724335,56609335,57119619,57200424,57260762,57412690,57832903,58083535,58110572,58135663,58442805,58592114,58602823,59423106,59724039,59851255,60294885,62338992,62500135,63625058,64314544,64350477,64398387,64558135,64592508,65013967,65703020,65772883,65841463,66140018,66869202,66907735,67052743,67235647,67520492,67629679,67931202,68736919,68895228,68961535,69248978,69346088,69700242,69998959,70109887,70131366,70942498,71158268,71241320,71634819,71726290,71779625,71821506,72353862,73063255,74233735,75000162,75237159,75527277,76220503,76615305,76810274,76923319,76950367,77098472,77238463,77469762,77788759,78014349,78843624,79478504,79853187,80073427,80146485,80289282,80462546,80712242,81005804,81722992,82635578,82753842,83147983,83195372,83703020,84448135,84778903,84913964,84961587,85181959,85396922,85489584,86071548,86135550,86735781,86740819,86785666,87675906,88699077,89080482,89413317,89913425,89963923,90296444,90555879,90700339,90759669,90892940,90903319,91714135,91877920,91938366,91978124,92491543,92550727,92595308,92874225,93090099,94485740,94500008,94835647,94903255,95113587,95206159,95340812,95415283,96129103,96175782,96640735,96902828,97613743,97638087,98142339,98336805,98340968,98505826,98584207,99065840,99904723,...,1171881891725397194288704093062152540226362574910001858563190358758064139349659831894526815610777327635418472743391407173551721839749064200999739799304836981235260179800418763341102118834370694190465091128493155121274910105322791161914098621084462356783687262431944966058479106277622618939996897415150310670805135993358870894500282970189632907166849320041773987043111322676999139272340997902704853997833468166283403829039210168667194187421532771110265343943649140508898667883321805467927917320480831811565257509937823622722168422281619395325819911727175163373763489809105237017411957057446607540765142205743108432344125673850659086295065396105219212585671854769928247573941470131401163629941943065613134016573096485429277522680373529843602151448328946217709265711579365900100251099603891117729857340877358532963431844533968799087803237012436449729855070459610797286379955690610463547935059266431286448464638145841575469622875768314259519510747100307860241461864317257905705310869679175204213031253330088721573568124793785799453321309450546599634360092771796304939487543579292264202819008149558417738890732416498788159321206058196686008420193388545984266954445742737351784266672319976041092765651505776335372873505285344422353474809755273209903180688642823068730367743417266705822841387269543044151863942333021583991749525813207080036662664484648741186164057669921280704626208014876630820289208132242083889167314179590292134935626936791943666466305042934112040681785617043578517553452337742007202667587723928735221581361183905437150162018466496704398543197449216606460331074425549675679209866813272934528752140506602365217618626015982162145771236181923072276462954817660560071126772278638601699090984313582290400704517453715121165710389695346737742121696036078360248779461642375687886221611739210642970333841899179172439538283079985301905675534232751506463563434525680075023408140348183178545144000228068744768030650352596783997697104537555463968209971830578371696046851486406866618486481924476453432141669055838232532461291135030559221350288856178193613289891930524843676667185449990462363227706270609305378298218742985139959957797406823406222612040201983516627367749485490758921559577807807660286512255140394364808545959817823622285824045348991316780273040436918308384813600528028978511806242324132053611272160773594901996674807134281619137266087255579221768938857998159588555029239931539003601479931455461878740955032933982264285888402336031163128830543237027243257181509965480202540951729661010975957100973162596348991781334857383352491610836443053900702843709865496169127547191435308075749685095467069863858248258836679763837829095592685525814620099041524509908693370658028721413648936965945474987278857876211747401194173580510462750211930241633657221673895913620757761694639736931978335652576199112237736266773332882915205566317223089304983870615643251859822039242547880207060042693989583893991658635560464062496006345634499044972951295192510449770239907069197940394329372573331017530976394801656138702720959553289432736423203494648165097676779059752413013077778876600860517043939027480415673757518670607564023106529065828101011535133337641649960451294923777396255058325005584029126690017159220852228506228769779011646649271784638580467367172463120605436929805346306761734494188304844887572165208480638551128825221239285866764319487057865089776105930926594238710143572534923709767807773776495214847795179225409403937943770788189244952564815310478628217031941555955777097953426236502327262106585584107162836924838306833094125984210040338041389340518379986419576623982738068378983858159754883945170739365089802600297761335372813250520134071690071964181706343579935206682760513352620392842877807716298906673029773861132773873021912257555009842325576881878898881819677030485934271309368148222232985825950104098603220208741061830172085007775684045800476151768317930931038545703924399409850461733564549945191767622411137059653790229132269841391821594657806326691310235907589435090446402254660235383204831622800865374054203908758703643628750315620438263121925456184179595465520029201138270250609812368005327322225999755402536783472729468361063489421389503523830621765170729988481392823070259028810635476980889546067236465732006726108905054452843995498293245049895128078197631239101194713984765285961602699142821016042589085727165529192246804467305074061179629112201762407074451569309198303095904436027023658960715110216164695841945193888193605396383545285994075013850223229410637529820594192650298349210315841509098782322746210118938482642201355114641315170166315694853395783537466473363665584694307019236969697023855151408027616908126640633820643110577022517730232344598031522661092251459897978528896127135116860641736651358724324841036298694939611975522986727814443291462723524095627704763978582990282560571834086}
30258  614310017464058671467961399406985076799652560589172639156850936854310485740076388020392: {151265,181518,514097,1419917,1572532,1842017,2143277,2661208,2685041,2925617,2993859,3201518,3563246,3747652,4186541,4445427,4486241,5025197,5196292,5292175,5981741,6339917,6350610,6773984,6876641,7011736,7560250,7620732,7888203,8067041,8090116,8252606,8812852,9072300,9313517,9677120,9905837,9909208,10049726,10083377,10886760,11147859,11324141,11612544,11843246,12247605,12561377,13064112,13090541,13633166,14697126,14849741,16076897,17142808,17416877,18182212,18288497,18900916,19158317,19285659,19505741,19619332,20026337,20032216,20430797,21293115,21469037,22332257,22395243,22536243,22712656,22882718,23236526,23473947,24006615,24167777,24329515,24396641,25003406,25196657,25253741,25551738,25607056,26735117,26962541,27245656,27757517,27822926,27945175,28437677,28807938,28932532,29195418,29931518,30640241,30651363,30696557,31583035,31821197,32501572,32886641,33396415,33485656,33534210,34339937,34756450,34831406,35180318,35732237,35769824,35882776,35898977,36232241,36525099,36774916,37064141,37562417,37671363,37899642,38669547,39236056,39561907,40075698,40241052,40264935,40328116,40368123,40373741,40396718,40864659,41707740,41798957,42464667,42474206,42782477,42949264,43109741,43542808,44140563,44488256,44582452,45067277,45455515,45580718,45771617,45879857,46035175,46096241,46411096,46582637,46835547,46852577,47540779,47661197,48317922,48521741,48675566,48790241,48985659,49112177,49648097,50049288,50050371,50129741,50238772,50389886,50553175,51082215,51509755,51517517,52212483,52475117,53112077,53571736,54065357,54487696,54489566,54546618,55174241,55226957,55242210,55851518,55964141,56275226,56305449,56517010,56947735,57276641,57384856,57538541,57861208,58925024,59183835,59246318,59583775,60268203,60436203,60663810,60677827,60717617,61276286,61298658,61811706,61882215,61908557,62336155,62734541,63096856,63129424,63141927,64226417,64311518,64523416,64557963,64585517,64648046,64708064,64936450,65093859,65302541,65353697,65762657,66007696,66011035,66290652,67139117,67461163,67795972,67820412,67901297,68337282,68357741,68560397,68988171,69344318,69543691,69924977,70223896,70831457,70983963,71014718,71020602,71348366,71500530,71507618,71800599,72588843,72638215,72679732,72796572,73086317,73834337,74012366,74258658,74580557,74803386,74878541,75126641,75176237,75622241,75672686,76159492,76187031,76267232,76314737,76907057,77923740,78137357,78382817,79001883,79213242,79230808,79264817,79632052,80393180,80453626,80740635,81749741,82128775,82234541,82610979,82687507,82935326,83118656,83250017,83394797,83684141,84400615,85797197,85800636,85864516,85891143,86048347,86119035,86123344,86131937,86370797,86682610,87165858,87888171,88274477,88937741,88947835,89051650,89126957,89134659,89151518,89158936,89477246,89693837,90574936,91781018,91860304,92077886,92402318,92651057,92933656,93508488,93629741,93698606,94280237,94326641,94604897,94743917,94975457,95021741,95299277,95437587,95513092,95762008,96360497,96373090,96471816,96682637,96888762,96929246,97573646,98196017,98287457,98554530,98698541,99210027,99348130,99363979,99655217,99837041,99982267,...,1757822837588095791433056139593228810339543862365002787844785538137096209024489747841790223416165991453127709115087110760327582759623596301499609698957255471852890269700628145011653178251556041285697636692739732681912365157984186742871147931626693535175530893647917449087718659416433928409995346122725466006207703990038306341750424455284449360750273980062660980564666984015498708908511496854057280996750202249425105743558815253000791281132299156665398015915473710763348001824982708201891875980721247717347886264906735434083252633422429092988729867590762745060645234713657855526117935586169911311147713308614662648516188510775988629442598094157828818878507782154892371360912205197101745444912914598419701024859644728143916284020560294765403227172493419326563898567369048850150376649405836676594786011316037799445147766800953198631704855518654674594782605689416195929569933535915695321902588899646929672696957218762363204434313652471389279266120650461790362192796475886858557966304518762806319546879995133082360352187190678699179981964175819899451540139157694457409231315368938396304228512224337626608336098624748182238981809087295029012630290082818976400431668614106027676400008479964061639148477258664503059310257928016633530212214632909814854771032964234603095551615125900058734262080904314566227795913499532375987624288719810620054993996726973111779246086504881921056939312022314946230433812198363125833750971269385438202403440405187915499699457564401168061022678425565367776330178506613010804001381585893102832372041775858155725243027699745056597814796173824909690496611638324513518814800219909401793128210759903547826427939023973243218656854272884608414694432226490840106690158417957902548636476470373435601056776180572681748565584543020106613182544054117540373169192463563531829332417608815964455500762848768758659307424619977952858513301349127259695345151788520112535112210522274767817716000342103117152045975528895175996545656806333195952314957745867557544070277229610299927729722886714680148212503583757348798691936702545838832025433284267290419934837895787265515000778174985693544841559405913958067447328114477709939936696110235109333918060302975274941051624228236138382339366711711490429768382710591547212818939726735433428736068023486975170409560655377462577220400792043467767709363486198080416908241160392352995012210701422428705899130883368832653408286997239382832543859897308505402219897183192818111432549400973396428832603504046744693245814855540864885772264948220303811427594491516463935651459743894523487672002286075028737416254664580851054265564798244253691320787152962113624527643200604795787372388255019645756743643389028288721930148562286764863040055987043082120473405448918212480918286814317621101791260370765694125317895362450485832510843870431136642541959605397967503478864298668356604400159999324372808349475834633957475805923464877789733058863821820310590064040984375840987487953340696093744009518451748567459426942788765674655359860603796910591494058859996526296464592202484208054081439329934149104634805241972247646515168589628619519616668314901290775565908541220623510636278005911346034659793598742151517302700006462474940676942385666094382587487508376043690035025738831278342759343154668517469973907676957870701050758694680908155394708019460142601741282457267331358247812720957826693237831858928800146479230586797634664158896389891358065215358802385564651711660664742822271692768838114105906915656182283867428847222965717942325547912333933665646930139354753490893159878376160744255387257460249641188976315060507062084010777569979629364935974107102568475787239632325917756109047634703900446642003059219875780201107535107946272559515369902810024140770028930589264316711574448360009544660791699160809532868386332514763488365322818348322729515545728901406964052222333349478738925156147904830313111592745258127511663526068700714227652476896396557818555886599114775692600346824917787651433616705589480685343698404762087732391986709490036965353861384152635669603381990353074807247434201298061081305863138055465443125473430657394682888184276269393198280043801707405375914718552007990983338999633103805175209094202541595234132084255285745932647756094982722089234605388543215953215471334319100854698598010089163357581679265993247439867574842692117296446858651792070977147928942404048714231524063883628590748293788370206700957611091769443668302643610611677353963797454643856654040535488441072665324247043762917790832290408094575317928991112520775334844115956294730891288975447523815473762263648173484119315178407723963302032671961972755249473542280093675306199710045498377041460528855454545535782727112041425362189960950730964665865533776595348516897047283991638377189846967793344190702675290962604977038086487261554448042409417963284480091721664937194085286143441557145967874485423840857751129}
30259  616211505771592599905682053348027704600582543895273854360799517331351628433466874002826: {30259,242024,272277,1965665,2328557,2358798,3326510,3991812,4684565,4802277,5344869,5621478,5927236,6135269,6495365,7794438,8467480,8670557,8764670,9036677,9525915,9762029,10112645,10160976,10517604,11016065,11340375,11431098,12096400,12135174,12295877,12378909,12386510,13219278,13608450,14515680,14863812,14999957,15074589,15292838,15483392,15921197,16330140,16646261,16883477,17418816,17468894,17528189,17764869,19596168,19873574,20255477,20449749,21232709,21428510,22045689,22243397,22406174,22727765,23153429,23626145,23839949,24524165,24670949,25040270,25714212,26216861,27273318,28351374,28390820,28572038,29019317,29299949,29428998,29788046,29860324,30048324,30398309,31297697,31298596,31397429,31963238,32008820,32196398,33832901,34057070,34068984,34324077,34331549,34854789,36136661,36165665,36900734,37439729,37505109,37580606,37643189,37995374,38099957,38327607,38367677,38410584,38927224,39182726,40609709,40626965,40697981,40868484,41734389,41857070,41923349,42704129,43069478,43211907,43398798,43793127,43973717,44148014,44265377,44712280,44853470,44897277,45271661,45784577,45968645,46036661,46490429,46875269,47046926,47676734,48700132,48752358,49045070,49726469,49991117,50211749,50228484,50301315,50410145,50532856,50628557,51395294,51559396,51967157,52134675,52247109,52770477,52773389,53368961,53434264,53624129,53654736,53686580,53824164,54294206,54396974,54428510,54486212,55162374,55179101,55209749,55238246,55610320,55728065,55836449,56457989,56619556,56849463,57756734,57836741,58013870,58297889,58854084,58978109,59161409,60113547,60361578,60492174,60543086,60595077,60971549,61260389,61411649,61445909,62447396,62561610,62644397,62798465,63711309,64423896,65087438,65264294,65314212,66732384,66733828,66873678,66964670,67240109,68073377,68109620,68371077,69326957,69616644,70947206,71133389,71385077,71731070,71784686,72268526,72326510,72476883,72662669,72728824,72827966,73013349,73581278,73656280,74910638,74941301,75073932,75357926,75358158,75584829,77243597,77731589,78014069,78358109,78871070,78911780,79253069,80357604,80377766,80581604,80654270,80885080,81012446,81316949,81731544,81734349,81819927,82273406,82415608,82509620,82863315,83153501,83777277,83791757,83841134,84152486,84189236,84412839,84744965,84764129,84775515,85187621,86077284,86325341,86791812,87500189,87779870,87948389,88387536,88869477,90381389,90427216,90748526,90849665,90909377,90995715,91116376,91914429,91947987,91984228,92556869,92717559,93670829,94645284,94694136,95199365,95334040,95734132,96220109,96467277,96546149,96785124,96972069,97062096,97404675,97620221,98657966,99011544,99038510,99227969,99435978,99540065,99737848,...,2343763783450794388577408186124305080452725149820003717126380717516128278699319663789053631221554655270836945486782814347103443679498128401999479598609673962470520359600837526682204237668741388380930182256986310242549820210645582323828197242168924713567374524863889932116958212555245237879993794830300621341610271986717741789000565940379265814333698640083547974086222645353998278544681995805409707995666936332566807658078420337334388374843065542220530687887298281017797335766643610935855834640961663623130515019875647245444336844563238790651639823454350326747526979618210474034823914114893215081530284411486216864688251347701318172590130792210438425171343709539856495147882940262802327259883886131226268033146192970858555045360747059687204302896657892435418531423158731800200502199207782235459714681754717065926863689067937598175606474024872899459710140919221594572759911381220927095870118532862572896929276291683150939245751536628519039021494200615720482923728634515811410621739358350408426062506660177443147136249587571598906642618901093199268720185543592609878975087158584528405638016299116835477781464832997576318642412116393372016840386777091968533908891485474703568533344639952082185531303011552670745747010570688844706949619510546419806361377285646137460735486834533411645682774539086088303727884666043167983499051626414160073325328969297482372328115339842561409252416029753261640578416264484167778334628359180584269871253873583887332932610085868224081363571234087157035106904675484014405335175447857470443162722367810874300324036932993408797086394898433212920662148851099351358419733626545869057504281013204730435237252031964324291542472363846144552925909635321120142253544557277203398181968627164580801409034907430242331420779390693475484243392072156720497558923284751375772443223478421285940667683798358344879076566159970603811351068465503012927126869051360150046816280696366357090288000456137489536061300705193567995394209075110927936419943661156743392093702972813733236972963848952906864283338111676465064922582270061118442700577712356387226579783861049687353334370899980924726455412541218610756596437485970279919915594813646812445224080403967033254735498970981517843119155615615320573024510280788729617091919635647244571648090697982633560546080873836616769627201056057957023612484648264107222544321547189803993349614268563238274532174511158443537877715996319177110058479863078007202959862910923757481910065867964528571776804672062326257661086474054486514363019930960405081903459322021951914201946325192697983562669714766704983221672886107801405687419730992338255094382870616151499370190934139727716496517673359527675658191185371051629240198083049019817386741316057442827297873931890949974557715752423494802388347161020925500423860483267314443347791827241515523389279473863956671305152398224475472533546665765830411132634446178609967741231286503719644078485095760414120085387979167787983317271120928124992012691268998089945902590385020899540479814138395880788658745146662035061952789603312277405441919106578865472846406989296330195353558119504826026155557753201721034087878054960831347515037341215128046213058131656202023070266675283299920902589847554792510116650011168058253380034318441704457012457539558023293298543569277160934734344926241210873859610692613523468988376609689775144330416961277102257650442478571733528638974115730179552211861853188477420287145069847419535615547552990429695590358450818807875887541576378489905129630620957256434063883111911554195906852473004654524213171168214325673849676613666188251968420080676082778681036759972839153247965476136757967716319509767890341478730179605200595522670745626501040268143380143928363412687159870413365521026705240785685755615432597813346059547722265547746043824515110019684651153763757797763639354060971868542618736296444465971651900208197206440417482123660344170015551368091600952303536635861862077091407848798819700923467129099890383535244822274119307580458264539682783643189315612653382620471815178870180892804509320470766409663245601730748108407817517407287257500631240876526243850912368359190931040058402276540501219624736010654644451999510805073566945458936722126978842779007047661243530341459976962785646140518057621270953961779092134472931464013452217810108905687990996586490099790256156395262478202389427969530571923205398285642032085178171454331058384493608934610148122359258224403524814148903138618396606191808872054047317921430220432329391683890387776387210792767090571988150027700446458821275059641188385300596698420631683018197564645492420237876965284402710229282630340332631389706791567074932946727331169388614038473939394047710302816055233816253281267641286221154045035460464689196063045322184502919795957057792254270233721283473302717448649682072597389879223951045973455628886582925447048191255409527957165980565121143668172}
30260  618118845634773825436398199588757870427146296358930789445191123667994468046120722372850: {211771,302530,363036,574579,1028194,1118251,2203651,2384299,2839834,3145064,3538197,3684034,3826891,4286554,4546459,4726171,4905811,4989765,5322416,5370082,5851234,5987718,6403036,7126492,7409045,7495304,8127019,8305291,8373082,8432217,8890854,8972482,9373411,10050394,10392584,10584350,11324899,11691657,11855611,11963482,12209059,12679834,12701220,13147005,13547968,13619971,13753282,14023472,14850739,15120500,15241464,15776406,16134082,16180232,16505212,17127091,17146647,17625704,18144600,18202761,18347779,18579765,18627034,18695899,19354240,19564939,19811674,19818416,19828917,19912051,20099452,20166754,20412675,20432179,21643291,21773520,22295718,22648282,22939257,23195251,23225088,23686492,24226651,24495210,25122754,25255459,25768891,26128224,26181082,26203341,27266332,29005579,29394252,29514259,29699482,29810361,30360619,30698659,31205179,31711051,31879531,32142765,32153794,32720851,32888899,33609261,34061321,34285616,34833754,34899859,35488525,35901451,36364424,36576994,37325405,37560405,37801832,38316634,38394091,38571318,39011482,39123245,39238664,39881899,40011025,40052674,40064432,40861594,40909977,41035051,41692411,41856571,42348619,42527061,42586230,42840019,42858057,42938074,43984099,44143497,44216249,44473339,44664514,44682069,44790486,45072486,45425312,45765436,45774811,46473052,46754981,46947894,47395171,47556811,47718379,47944857,48013230,48294597,48335554,48659030,48793282,49169251,49812211,50006812,50393314,50507482,50774491,51085605,51103476,51214112,52053499,53009731,53168851,53470234,53925082,54491312,55230859,55351101,55515034,55645852,55890350,56184557,56370909,56875354,56993061,57615876,57865064,58390836,58774089,59863036,60098851,60721939,60875165,61188499,61280482,61302726,61393114,61809571,62785605,63166070,63637721,63642394,64128331,64449245,64604217,65003144,65098197,65358379,65773282,66222021,66277891,66792830,66971312,67068420,67108225,67280205,67804651,68107765,68565331,68679874,69512900,69662812,69930019,70360636,70570389,70774445,71464474,71515101,71539648,71765552,71797954,72113657,72464482,73050198,73128537,73549832,73567605,73839691,74128282,74883979,75124834,75181699,75342726,75799284,76961971,77092941,77339094,77700691,78059245,78143059,78472112,79123814,79726829,80151396,80482104,80529870,80656232,80736246,80747482,80793436,81441309,81595461,81642765,81729318,81804259,82240579,82743561,82857369,82966339,83415480,83417285,83597914,84929334,84948412,85137025,85564954,85851379,85898528,86219482,86281651,86635101,86997331,87020805,87085616,87270617,87283099,88281126,88976512,88991659,89133571,89164904,89275411,90134554,90542367,90738261,90814629,90911030,91161436,91543234,91759714,92070350,92192482,92415449,92822192,93165274,93671094,93705154,93842415,94333699,94751011,95028859,95081558,95322394,96275611,96635844,97043482,97351132,97580482,97631157,97896441,97971318,98224354,98639725,99296194,...,3515645675176191582866112279186457620679087724730005575689571076274192418048979495683580446832331982906255418230174221520655165519247192602999219397914510943705780539401256290023306356503112082571395273385479465363824730315968373485742295863253387070351061787295834898175437318832867856819990692245450932012415407980076612683500848910568898721500547960125321961129333968030997417817022993708114561993500404498850211487117630506001582562264598313330796031830947421526696003649965416403783751961442495434695772529813470868166505266844858185977459735181525490121290469427315711052235871172339822622295426617229325297032377021551977258885196188315657637757015564309784742721824410394203490889825829196839402049719289456287832568041120589530806454344986838653127797134738097700300753298811673353189572022632075598890295533601906397263409711037309349189565211378832391859139867071831390643805177799293859345393914437524726408868627304942778558532241300923580724385592951773717115932609037525612639093759990266164720704374381357398359963928351639798903080278315388914818462630737876792608457024448675253216672197249496364477963618174590058025260580165637952800863337228212055352800016959928123278296954517329006118620515856033267060424429265819629709542065928469206191103230251800117468524161808629132455591826999064751975248577439621240109987993453946223558492173009763842113878624044629892460867624396726251667501942538770876404806880810375830999398915128802336122045356851130735552660357013226021608002763171786205664744083551716311450486055399490113195629592347649819380993223276649027037629600439818803586256421519807095652855878047946486437313708545769216829388864452981680213380316835915805097272952940746871202113552361145363497131169086040213226365088108235080746338384927127063658664835217631928911001525697537517318614849239955905717026602698254519390690303577040225070224421044549535635432000684206234304091951057790351993091313612666391904629915491735115088140554459220599855459445773429360296425007167514697597383873405091677664050866568534580839869675791574531030001556349971387089683118811827916134894656228955419879873392220470218667836120605950549882103248456472276764678733423422980859536765421183094425637879453470866857472136046973950340819121310754925154440801584086935535418726972396160833816482320784705990024421402844857411798261766737665306816573994478765665087719794617010804439794366385636222865098801946792857665207008093489386491629711081729771544529896440607622855188983032927871302919487789046975344004572150057474832509329161702108531129596488507382641574305924227249055286401209591574744776510039291513487286778056577443860297124573529726080111974086164240946810897836424961836573628635242203582520741531388250635790724900971665021687740862273285083919210795935006957728597336713208800319998648745616698951669267914951611846929755579466117727643640621180128081968751681974975906681392187488019036903497134918853885577531349310719721207593821182988117719993052592929184404968416108162878659868298209269610483944495293030337179257239039233336629802581551131817082441247021272556011822692069319587197484303034605400012924949881353884771332188765174975016752087380070051477662556685518686309337034939947815353915741402101517389361816310789416038920285203482564914534662716495625441915653386475663717857600292958461173595269328317792779782716130430717604771129303423321329485644543385537676228211813831312364567734857694445931435884651095824667867331293860278709506981786319756752321488510774514920499282377952630121014124168021555139959258729871948214205136951574479264651835512218095269407800893284006118439751560402215070215892545119030739805620048281540057861178528633423148896720019089321583398321619065736772665029526976730645636696645459031091457802813928104444666698957477850312295809660626223185490516255023327052137401428455304953792793115637111773198229551385200693649835575302867233411178961370687396809524175464783973418980073930707722768305271339206763980706149614494868402596122162611726276110930886250946861314789365776368552538786396560087603414810751829437104015981966677999266207610350418188405083190468264168510571491865295512189965444178469210777086431906430942668638201709397196020178326715163358531986494879735149685384234592893717303584141954295857884808097428463048127767257181496587576740413401915222183538887336605287221223354707927594909287713308081070976882145330648494087525835581664580816189150635857982225041550669688231912589461782577950895047630947524527296346968238630356815447926604065343923945510498947084560187350612399420090996754082921057710909091071565454224082850724379921901461929331731067553190697033794094567983276754379693935586688381405350581925209954076172974523108896084818835926568960183443329874388170572286883114291935748970847681715502258}
30261  620032054956305259731136647759499047317966590686542172159751681094005207449413185223562: {60518,453795,484048,544554,1542291,2751931,3931330,4259751,4657114,4717596,5526051,6429831,6558391,6653020,7983624,8003795,8055123,8776851,8908115,8981577,9093511,9369130,9604554,10689738,10910503,11242956,11854472,12270538,12559623,12990730,13336281,13458723,14157703,14531491,15075591,15422491,15588876,15614951,15876525,16934960,17341114,17529340,17604851,17794279,17945223,18073354,18900625,19019751,19051830,19524058,20225290,20321952,20629923,20631515,21035208,21051491,22032130,22680750,22862196,23664609,23938291,24127403,24192800,24201123,24270348,24591754,24757818,24773020,25124315,25400723,26287651,26438556,27216900,27940551,28475771,29031360,29527619,29608115,29717511,29727624,29999914,30149178,30250131,30585676,30966784,30983563,31818871,31842394,32660280,33076603,33292522,33443577,33766954,33972423,34082915,34333831,34837632,34937788,34979779,35056378,35529738,36742815,37460291,37684131,39192336,39271623,39747148,40239271,40510954,40899498,41326003,41844403,42465418,42557171,42706963,42857020,43401479,44091378,44486794,44549223,44812348,45380291,45455530,46306858,47252290,47679898,48017971,48230691,49048330,49341898,50080540,50631931,51428424,52250631,52433722,54406963,54546636,54819203,54865491,56702748,56781640,56877751,57049579,57144076,57206795,57474951,57856977,58038634,58091315,58517223,58599898,58857996,58982023,59080411,59209799,59576092,59720648,60079011,60096648,60796618,61292391,61415731,62101499,62405443,62508515,62595394,62597192,62794858,63153959,63879345,63926476,64017640,64356103,64392796,64407111,66996771,67061651,67185729,67608729,67665802,68114140,68137968,68648154,68663098,69557315,69709578,70008251,70421841,70574203,72019845,72273322,72331330,72503331,72959459,72988545,73189923,73801468,74828795,74879458,75010218,75131051,75161212,75286378,75589971,75761223,75990748,76199914,76655214,76735354,76821168,77854448,78019291,78365452,78898919,79502023,80205351,80887623,81219418,81253930,81395962,81736968,83272551,83468778,83714140,83835525,83846698,85313031,85408258,86138956,86331079,86423814,86797596,86891125,87078515,87586254,87917851,87947434,87950795,88296028,88438811,88530754,89424560,89706940,89794554,90543322,90609931,91569154,91920723,91937290,91954089,92073322,92089671,92980858,93750538,94093852,94749105,95353468,95463591,97400264,97504716,98090140,98659923,98699963,99452938,99982234,...,5273468512764287374299168418779686431018631587095008363534356614411288627073469243525370670248497974359383127345261332280982748278870788904498829096871766415558670809101884435034959534754668123857092910078219198045737095473952560228613443794880080605526592680943752347263155978249301785229986038368176398018623111970114919025251273365853348082250821940187982941694000952046496126725534490562171842990250606748275317230676445759002373843396897469996194047746421132290044005474948124605675627942163743152043658794720206302249757900267287278966189602772288235181935704140973566578353806758509733933443139925843987945548565532327965888327794282473486456635523346464677114082736615591305236334738743795259103074578934184431748852061680884296209681517480257979691695702107146550451129948217510029784358033948113398335443300402859595895114566555964023784347817068248587788709800607747085965707766698940789018090871656287089613302940957414167837798361951385371086578389427660575673898913556288418958640639985399247081056561572036097539945892527459698354620417473083372227693946106815188912685536673012879825008295874244546716945427261885087037890870248456929201295005842318083029200025439892184917445431775993509177930773784049900590636643898729444564313098892703809286654845377700176202786242712943698683387740498597127962872866159431860164981990180919335337738259514645763170817936066944838691301436595089377501252913808156314607210321215563746499098372693203504183068035276696103328990535519839032412004144757679308497116125327574467175729083099235169793444388521474729071489834914973540556444400659728205379384632279710643479283817071919729655970562818653825244083296679472520320070475253873707645909429411120306803170328541718045245696753629060319839547632162352621119507577390690595487997252826447893366502288546306275977922273859933858575539904047381779086035455365560337605336631566824303453148001026309351456137926586685527989636970418999587856944873237602672632210831688830899783189168660144040444637510751272046396075810107637516496076299852801871259804513687361796545002334524957080634524678217741874202341984343433129819810088330705328001754180908925824823154872684708415147018100135134471289305148131774641638456819180206300286208204070460925511228681966132387731661202376130403303128090458594241250724723481177058985036632104267286117697392650106497960224860991718148497631579691925516206659691549578454334297648202920189286497810512140234079737444566622594657316794844660911434282783474549391806954379231683570463016006858225086212248763993742553162796694394732761073962361458886340873582929601814387362117164765058937270230930167084866165790445686860294589120167961129246361420216346754637442754860442952863305373781112297082375953686087351457497532531611293409927625878816193902510436592896005069813200479997973118425048427503901872427417770394633369199176591465460931770192122953127522962463860022088281232028555355245702378280828366297023966079581811390731774482176579989578889393776607452624162244317989802447313904415725916742939545505768885858558850004944703872326697725623661870531908834017734038103979380796226454551908100019387424822030827156998283147762462525128131070105077216493835028278029464005552409921723030873612103152276084042724466184124058380427805223847371801994074743438162873480079713495576786400439437691760392903992476689169674074195646076407156693955134981994228466815078306514342317720746968546851602286541668897153826976643737001800996940790418064260472679479635128482232766161772380748923566928945181521186252032332709938888094807922321307705427361718896977753268327142904111701339926009177659627340603322605323838817678546109708430072422310086791767792950134723345080028633982375097482428598605158997544290465095968455044968188546637186704220892156667000048436216775468443714490939334778235774382534990578206102142682957430689189673455667659797344327077801040474753362954300850116768442056031095214286263197175960128470110896061584152457907008810145971059224421742302603894183243917589414166396329376420291972184048664552828808179594840131405122216127744155656023972950016998899311415525627282607624785702396252765857237797943268284948166267703816165629647859646414002957302564095794030267490072745037797979742319602724528076351889340575955376212931443786827212146142694572191650885772244881365110620102872833275308331004907930831835032061891392363931569962121606465323217995972741131288753372496871224283725953786973337562326004532347868884192673866926342571446421286790944520452357945535223171889906098015885918265748420626840281025918599130136495131124381586566363636607348181336124276086569882852192893997596601329786045550691141851974915131569540903380032572108025872887814931114259461784663344127228253889853440275164994811582255858430324671437903623456271522573253387}
30262  621951151693344279120035032562640521017063661031961073635221092501085704568867486951233: {90777,423542,605060,726072,816831,1149158,1781977,2056388,2236502,3046261,4407302,4486837,4768598,5205397,5679668,5743561,5896995,6290128,6985671,6996757,7076394,7368068,7532761,7653782,8316275,8573108,9092918,9452342,9811622,9979530,10372663,10644832,10740164,11443657,11620597,11702468,11975436,12806072,13209817,14053695,14252984,14406831,14818090,14968777,14990608,15144277,15495061,16034607,16254038,16610582,16746164,16864434,17593717,17768137,17781708,17944964,18405807,18746822,19486095,20100788,20785168,21168700,21911675,22450261,22649798,23383314,23711222,23827477,23926964,24418118,24685897,25359668,25371337,25402440,26011671,26294010,27095936,27110031,27239942,27250357,27506564,28046944,28577745,29286087,29701478,29798617,30137161,30241000,30337935,30482928,30966275,30982261,31552812,32268164,32330677,32360464,33010424,33048195,34021125,34254182,34293294,35251408,35681557,36289200,36405522,36695558,36887631,37136727,37159530,37180057,37254068,37391798,37678261,38232095,38708480,39129878,39334261,39623348,39636832,39657834,39824102,40198904,40333508,40825350,40864358,43286582,43442761,43547040,43672235,44591436,44747977,44999871,45223767,45296564,45878514,45886261,46210837,46373017,46390502,46450176,47372984,47763591,48453302,48990420,49119061,49683935,49938783,50245508,50510918,50650431,51537782,51844297,52255567,52256448,52362164,52406682,52584567,53294607,53571275,54231637,54532664,54772543,55814197,55972057,56015435,58011158,58644661,58788504,59028518,59114137,59398964,59426761,59620722,60518677,60721238,60766431,61349247,61397318,62168711,62410358,62600675,62846617,63422102,63698127,63759062,64285530,64307588,64543477,65441702,65777798,66137067,66399931,66730191,67148761,67218522,68122642,68183295,68367577,68571232,69460287,69667508,69799718,70878435,70977050,71430095,71519847,71802902,72146677,72728848,73153988,73572495,74012847,74470115,74650810,74690761,75120810,75603664,75732277,76633268,76788182,77142636,78022964,78246490,78477328,78650583,79763798,79908095,80022050,80105348,80128864,80490995,80886937,81723188,81819954,82070102,82343497,83384822,83713142,83792857,84659017,84697238,85054122,85142675,85172460,85225231,85680038,85716114,85876148,86669977,87057951,87812761,87899847,87968198,88286994,88432498,88946678,89329028,89364138,89580972,90144972,90228943,90367177,90649561,90850624,91194927,91530872,91549622,91635637,92251835,92478037,92758261,92946104,93509962,93893091,93895788,93951515,94192287,94433557,94572697,94790342,94988435,95113622,95350871,95436758,95544661,95821717,95889714,96026460,96589194,96671108,97318060,97586564,97615561,97956815,98302261,98338502,99084223,99624422,99670261,...,7031291350352383165732224558372915241358175449460011151379142152548384836097958991367160893664663965812510836460348443041310331038494385205998438795829021887411561078802512580046612713006224165142790546770958930727649460631936746971484591726506774140702123574591669796350874637665735713639981384490901864024830815960153225367001697821137797443001095920250643922258667936061994835634045987416229123987000808997700422974235261012003165124529196626661592063661894843053392007299930832807567503922884990869391545059626941736333010533689716371954919470363050980242580938854631422104471742344679645244590853234458650594064754043103954517770392376631315275514031128619569485443648820788406981779651658393678804099438578912575665136082241179061612908689973677306255594269476195400601506597623346706379144045264151197780591067203812794526819422074618698379130422757664783718279734143662781287610355598587718690787828875049452817737254609885557117064482601847161448771185903547434231865218075051225278187519980532329441408748762714796719927856703279597806160556630777829636925261475753585216914048897350506433344394498992728955927236349180116050521160331275905601726674456424110705600033919856246556593909034658012237241031712066534120848858531639259419084131856938412382206460503600234937048323617258264911183653998129503950497154879242480219975986907892447116984346019527684227757248089259784921735248793452503335003885077541752809613761620751661998797830257604672244090713702261471105320714026452043216005526343572411329488167103432622900972110798980226391259184695299638761986446553298054075259200879637607172512843039614191305711756095892972874627417091538433658777728905963360426760633671831610194545905881493742404227104722290726994262338172080426452730176216470161492676769854254127317329670435263857822003051395075034637229698479911811434053205396509038781380607154080450140448842089099071270864001368412468608183902115580703986182627225332783809259830983470230176281108918441199710918891546858720592850014335029395194767746810183355328101733137069161679739351583149062060003112699942774179366237623655832269789312457910839759746784440940437335672241211901099764206496912944553529357466846845961719073530842366188851275758906941733714944272093947900681638242621509850308881603168173871070837453944792321667632964641569411980048842805689714823596523533475330613633147988957531330175439589234021608879588732771272445730197603893585715330414016186978772983259422163459543089059792881215245710377966065855742605838975578093950688009144300114949665018658323404217062259192977014765283148611848454498110572802419183149489553020078583026974573556113154887720594249147059452160223948172328481893621795672849923673147257270484407165041483062776501271581449801943330043375481724546570167838421591870013915457194673426417600639997297491233397903338535829903223693859511158932235455287281242360256163937503363949951813362784374976038073806994269837707771155062698621439442415187642365976235439986105185858368809936832216325757319736596418539220967888990586060674358514478078466673259605163102263634164882494042545112023645384138639174394968606069210800025849899762707769542664377530349950033504174760140102955325113371037372618674069879895630707831482804203034778723632621578832077840570406965129829069325432991250883831306772951327435715200585916922347190538656635585559565432260861435209542258606846642658971289086771075352456423627662624729135469715388891862871769302191649335734662587720557419013963572639513504642977021549029840998564755905260242028248336043110279918517459743896428410273903148958529303671024436190538815601786568012236879503120804430140431785090238061479611240096563080115722357057266846297793440038178643166796643238131473545330059053953461291273393290918062182915605627856208889333397914955700624591619321252446370981032510046654104274802856910609907585586231274223546396459102770401387299671150605734466822357922741374793619048350929567946837960147861415445536610542678413527961412299228989736805192244325223452552221861772501893722629578731552737105077572793120175206829621503658874208031963933355998532415220700836376810166380936528337021142983730591024379930888356938421554172863812861885337276403418794392040356653430326717063972989759470299370768469185787434607168283908591715769616194856926096255534514362993175153480826803830444367077774673210574442446709415855189818575426616162141953764290661296988175051671163329161632378301271715964450083101339376463825178923565155901790095261895049054592693936477260713630895853208130687847891020997894169120374701224798840181993508165842115421818182143130908448165701448759843802923858663462135106381394067588189135966553508759387871173376762810701163850419908152345949046217792169637671853137920366886659748776341144573766228583871497941695363431004516}
30263  623876153857667394450992010829464285216621066617752059295364800431004683089450419066346: {121036,635313,756325,907590,968096,1089108,1723737,2570485,3084582,3354753,3659161,5503862,6610953,7099585,7152897,7862660,8519502,9210085,9314228,9435192,9641137,10614591,10716385,11052102,11205313,11480673,11817193,12471361,12859662,13116782,13306040,13425205,13625161,13639377,14178513,14628085,14717433,14969295,15967248,16007590,16110246,17553702,17816230,17963154,18187022,18454033,18738260,19209108,20150737,20805733,20932705,21379476,21821006,22078393,22227135,22431205,22485912,23528137,23571361,23708944,24381057,24541076,24915873,25119246,25125985,25296651,25702753,25981460,26460875,26672562,26917446,26965921,27152497,27544297,28120233,28315406,28884121,29062982,29864833,29908705,30151182,30277561,30844982,31177752,31229902,31699585,31753050,32401381,33869920,33974697,34383205,34682228,34896277,35058680,35074971,35174041,35209702,35566833,35588558,35890446,36146708,36627177,36797953,37462777,37801250,38039502,38103660,39048116,39441015,40335205,40450580,40643904,40859913,40955617,41144881,41259846,41263030,41451361,42070416,42102982,44064260,44271253,44552217,45361500,45724392,46042777,46388197,46567585,47329218,47563897,47716081,47876582,48254806,48385600,48402246,48540696,49183508,49265977,49338817,49515636,49529185,49546040,50248630,50416885,50734261,50801446,51292657,51381273,51439941,52575302,52877112,53631253,53949577,54433800,54608283,54802537,54822841,55043337,55739295,55843861,55881102,56087697,56620705,56951542,57885493,58062720,58694817,59055238,59216230,59435022,59455248,59486751,59736153,59871361,59999828,60298356,60500262,61171352,61238025,61268521,61296537,61933568,61967126,62806885,63637742,63684788,63815257,63850837,64929873,65026921,65320560,65452705,65557237,66153206,66384361,66585044,66643321,66887154,67533908,67944846,68165830,68667662,68817771,69585753,69675264,69875576,69959558,69975217,70012897,70112756,70123861,71059476,71394553,72679953,73485630,73661137,74157313,74248705,74636497,74920582,74951257,75368262,75432661,75766377,76235701,76518457,77306673,78384672,78543246,78610023,78904177,79494296,79559161,80089513,80307541,80384485,80478542,81021908,81327841,81798996,82652006,83688806,84775381,84930836,85114342,85413926,85714040,86758177,86802958,87016737,87084385,87511921,87960073,88182756,88259557,88542777,88719697,88973588,89098446,89431083,89624696,90718417,90760582,90911060,91081857,91442485,92095977,92613716,93244177,93615537,94504580,94854553,95133153,95359796,95638593,95791585,96035942,96428295,96461382,96557857,97380241,97528705,98096660,98162553,98666697,98683796,98843377,99241141,...,10546937025528574748598336837559372862037263174190016727068713228822577254146938487050741340496995948718766254690522664561965496557741577808997658193743532831117341618203768870069919069509336247714185820156438396091474190947905120457226887589760161211053185361887504694526311956498603570459972076736352796037246223940229838050502546731706696164501643880375965883388001904092992253451068981124343685980501213496550634461352891518004747686793794939992388095492842264580088010949896249211351255884327486304087317589440412604499515800534574557932379205544576470363871408281947133156707613517019467866886279851687975891097131064655931776655588564946972913271046692929354228165473231182610472669477487590518206149157868368863497704123361768592419363034960515959383391404214293100902259896435020059568716067896226796670886600805719191790229133111928047568695634136497175577419601215494171931415533397881578036181743312574179226605881914828335675596723902770742173156778855321151347797827112576837917281279970798494162113123144072195079891785054919396709240834946166744455387892213630377825371073346025759650016591748489093433890854523770174075781740496913858402590011684636166058400050879784369834890863551987018355861547568099801181273287797458889128626197785407618573309690755400352405572485425887397366775480997194255925745732318863720329963980361838670675476519029291526341635872133889677382602873190178755002505827616312629214420642431127492998196745386407008366136070553392206657981071039678064824008289515358616994232250655148934351458166198470339586888777042949458142979669829947081112888801319456410758769264559421286958567634143839459311941125637307650488166593358945040640140950507747415291818858822240613606340657083436090491393507258120639679095264324705242239015154781381190975994505652895786733004577092612551955844547719867717151079808094763558172070910731120675210673263133648606906296002052618702912275853173371055979273940837999175713889746475205345264421663377661799566378337320288080889275021502544092792151620215275032992152599705603742519609027374723593090004669049914161269049356435483748404683968686866259639620176661410656003508361817851649646309745369416830294036200270268942578610296263549283276913638360412600572416408140921851022457363932264775463322404752260806606256180917188482501449446962354117970073264208534572235394785300212995920449721983436296995263159383851032413319383099156908668595296405840378572995621024280468159474889133245189314633589689321822868565566949098783613908758463367140926032013716450172424497527987485106325593388789465522147924722917772681747165859203628774724234329530117874540461860334169732331580891373720589178240335922258492722840432693509274885509720885905726610747562224594164751907372174702914995065063222586819855251757632387805020873185792010139626400959995946236850096855007803744854835540789266738398353182930921863540384245906255045924927720044176562464057110710491404756561656732594047932159163622781463548964353159979157778787553214905248324488635979604894627808831451833485879091011537771717117700009889407744653395451247323741063817668035468076207958761592452909103816200038774849644061654313996566295524925050256262140210154432987670056556058928011104819843446061747224206304552168085448932368248116760855610447694743603988149486876325746960159426991153572800878875383520785807984953378339348148391292152814313387910269963988456933630156613028684635441493937093703204573083337794307653953287474003601993881580836128520945358959270256964465532323544761497847133857890363042372504064665419877776189615844642615410854723437793955506536654285808223402679852018355319254681206645210647677635357092219416860144844620173583535585900269446690160057267964750194964857197210317995088580930191936910089936377093274373408441784313334000096872433550936887428981878669556471548765069981156412204285365914861378379346911335319594688654155602080949506725908601700233536884112062190428572526394351920256940221792123168304915814017620291942118448843484605207788366487835178828332792658752840583944368097329105657616359189680262810244432255488311312047945900033997798622831051254565215249571404792505531714475595886536569896332535407632331259295719292828005914605128191588060534980145490075595959484639205449056152703778681151910752425862887573654424292285389144383301771544489762730221240205745666550616662009815861663670064123782784727863139924243212930646435991945482262577506744993742448567451907573946675124652009064695737768385347733852685142892842573581889040904715891070446343779812196031771836531496841253680562051837198260272990262248763173132727273214696362672248552173139765704385787995193202659572091101382283703949830263139081806760065144216051745775629862228518923569326688254456507779706880550329989623164511716860649342875807246912543045146506774}
30264  625807079515835416009238147162779429710143721217000293803694737983128877009347875172159: {151295,181554,332783,695543,847084,1210120,1239143,1361385,1452144,1601183,1633662,1842383,2023199,2298316,2505023,3106583,3563954,3827399,3947423,4112776,4473004,4547063,4626873,5026199,5205743,5803703,6092522,7533263,8255793,8425223,8814604,8973674,9493199,9537196,9828325,10085399,10381199,10410794,11359336,11444423,11487122,11642785,11793990,11857199,11975063,12580256,12779253,12858023,13739183,13971342,13993514,14152788,14736136,14969783,15065522,15307564,15554543,16080143,16255199,16578153,16632550,17146216,17594903,17827463,18185836,18698423,18904684,19289493,19335983,19623244,19675173,19959060,20030399,20203823,20434943,20745326,21289664,21473399,21480328,21646223,22887314,23241194,23404936,23422825,23886383,23950872,24011385,24165369,24172703,24344399,25087583,25373063,25612144,25772399,25886423,26330553,26419634,26724345,26944731,27280533,27479399,27933383,28107390,28330199,28505968,28613399,28813662,29631263,29636180,29857103,29937554,29981216,30195623,30288554,30676345,30990122,31040663,31827743,31996199,32069214,32476825,32508076,32557199,32731509,33221164,33492328,33728868,33844463,34514399,34904663,35187434,35536274,35563416,35739623,35889928,35906399,36811614,37493644,37678869,37736183,38972190,40008843,40201576,40376169,41150399,41570336,41698199,41807663,42337400,42354503,42473109,42955103,43352785,43445783,43594473,43823350,44588183,44900522,44968199,45183385,45226773,45299596,45889463,46051799,46267473,46430303,46766628,46844853,46862399,47401799,47422444,47629575,47654954,47671199,47853928,48370703,48810145,48836236,49176143,49371794,49819199,50563225,50719336,50742674,50804880,50888399,51261863,52023342,52060823,52588020,52814553,52857983,53123303,53282399,53382837,53524933,53835669,54191872,54220062,54235463,54479884,54500714,55013128,55080325,56093888,56186399,56701875,57059253,57155490,57917183,58178663,58572174,58648823,58701023,59402956,59483063,59597234,60211343,60274322,60482000,60522983,60675870,60965856,61141129,61479385,61889769,61894545,61921799,61932550,61964522,62076863,62696399,63105624,63154473,63469199,63829223,64240199,64536328,64599383,64661354,64720928,65521199,66020848,66096390,66134303,66389423,67306199,67814399,67915943,68042250,68068199,68508364,68586588,68727143,69482677,69557509,69940103,70192223,70502816,70993827,71363114,71700743,71814873,72352199,72382209,72578400,72603369,72752423,72811044,73102199,73391116,73472113,73775262,73999823,74273454,74319060,74360114,74508136,74745863,74783596,74999785,75356522,75372945,76202169,76331399,76464190,77416960,77712023,77810399,78259756,78301799,78421609,78668522,78862953,79246696,79273664,79282199,79315668,79428983,79605985,79648204,80015399,80397808,80667016,81650700,81728716,82058783,82349543,83231305,83413199,83821653,84417385,84713303,85097399,85427313,86294399,86389943,86573164,86676383,86885522,87094080,87105503,87344470,87640945,87866783,88294103,88582857,88824345,89152533,89182872,89288663,89495954,89996903,89999742,90420983,90447534,90593128,90656303,90703343,90750393,91757028,91772522,92421674,92746034,92781004,92811863,92900352,92950689,94301399,94440623,94626143,94745968,94765199,95320703,95456613,95527182,95551823,95598023,96382199,96520343,96704423,96842399,96906604,97668743,97980840,98080943,98238122,99229809,99367870,99814199,99877566,...,15820405538292862122897505256339059293055894761285025090603069843233865881220407730576112010745493923078149382035783996842948244836612366713496487290615299246676012427305653305104878604264004371571278730234657594137211286421857680685840331384640241816579778042831257041789467934747905355689958115104529194055869335910344757075753820097560044246752465820563948825082002856139488380176603471686515528970751820244825951692029337277007121530190692409988582143239263396870132016424844373817026883826491229456130976384160618906749273700801861836898568808316864705545807112422920699735061420275529201800329419777531963836645696596983897664983382847420459369906570039394031342248209846773915709004216231385777309223736802553295246556185042652888629044552440773939075087106321439651353389844652530089353074101844340195006329901208578787685343699667892071353043451204745763366129401823241257897123300096822367054272614968861268839908822872242503513395085854156113259735168282981727021696740668865256875921919956197741243169684716108292619837677582379095063861252419250116683081838320445566738056610019038639475024887622733640150836281785655261113672610745370787603885017526954249087600076319676554752336295327980527533792321352149701771909931696188333692939296678111427859964536133100528608358728138831096050163221495791383888618598478295580494945970542758006013214778543937289512453808200834516073904309785268132503758741424468943821630963646691239497295118079610512549204105830088309986971606559517097236012434273037925491348375982723401527187249297705509380333165564424187214469504744920621669333201979184616138153896839131930437851451215759188967911688455961475732249890038417560960211425761621122937728288233360920409510985625154135737090260887180959518642896487057863358522732172071786463991758479343680099506865638918827933766821579801575726619712142145337258106366096681012816009894700472910359444003078928054368413779760056583968910911256998763570834619712808017896632495066492699349567505980432121333912532253816139188227430322912549488228899558405613779413541062085389635007003574871241903574034653225622607025953030299389459430264992115984005262542726777474469464618054125245441054300405403413867915444395323924915370457540618900858624612211382776533686045898397163194983607128391209909384271375782723752174170443531176955109896312801858353092177950319493880674582975154445492894739075776548619979074648735363002892944608760567859493431536420702239212333699867783971950384533982734302848350423648175420863137695050711389048020574675258636746291981227659488390083184198283221887084376659022620748788805443162086351494295176811810692790501254598497371337060580883767360503883387739084260649040263912328264581328858589916121343336891247127861058262054372492597594833880229782877636448581707531309778688015209439601439993919355275145282511705617282253311183900107597529774396382795310576368859382568887391580066264843696085666065737107134842485098891071898238745434172195323446529739968736668181329822357872486732953969407341941713247177750228818636517306657575676550014834111616980093176870985611595726502053202114311938142388679363655724300058162274466092481470994849443287387575384393210315231649481505084834088392016657229765169092620836309456828252128173398552372175141283415671542115405982224230314488620440239140486730359201318313075281178711977430067509022222586938229221470081865404945982685400445234919543026953162240905640554806859625006691461480929931211005402990822371254192781418038438905385446698298485317142246770700786835544563558756096998129816664284423766963923116282085156690933259804981428712335104019778027532978882021809967815971516453035638329125290217266930260375303378850404170035240085901947125292447285795815476992632871395287905365134904565639911560112662676470001000145308650326405331143472818004334707323147604971734618306428048872292067569020367002979392032981233403121424260088862902550350305326168093285642858789591527880385410332688184752457373721026430437913177673265226907811682549731752768242499188988129260875916552145993658486424538784520394215366648383232466968071918850050996697934246576881847822874357107188758297571713393829804854844498803111448496888943578939242008871907692287382090802470218235113393939226958808173584229055668021727866128638794331360481636438428083716574952657316734644095331860308618499825924993014723792495505096185674177091794709886364819395969653987918223393866260117490613672851177861360920012686978013597043606652578021600779027714339263860372833561357073836605669515669718294047657754797245261880520843077755797390409485393373144759699090909822044544008372828259709648556578681992789803989358136652073425555924745394708622710140097716324077618663444793342778385353990032381684761669560320825494984434746767575290974014313710870368814567719760161}
30265  627743946789359114977499105482949712759556941884998434702431190511940694668173768167831: {242072,272331,1058855,1270626,1512650,1815180,1936192,2178216,2450493,2872895,3447474,3598679,4324463,5140970,5345931,5591255,6169164,6709506,7318322,9138783,9939419,10306043,11007724,11018255,11394071,11921495,12894119,13207451,13221906,13460511,14199170,14289803,14305794,15002939,15616191,15725320,16102463,17039004,17230683,17690985,18420170,18628456,18795287,18870384,19002719,19134455,19282274,20479319,20957013,20990271,21229182,21432770,21540443,22104204,22247819,22410626,22598283,22732295,22961346,23630855,23634386,24235343,24529055,24675851,24942722,24948825,25719324,26233564,26612080,26850410,27250322,27278754,27857063,28357026,29025083,29256170,29305787,29434866,29938590,31117989,31303919,31403687,31934496,32015180,32220492,32552351,33839627,34330971,34376159,34635959,34861791,35107404,35176379,35632460,35926308,36374044,36908066,37045225,37476520,38418216,39629451,40301474,40516967,40635095,41526455,41611466,41865410,41872187,42161085,42343943,42758952,43220493,43642012,43982459,44156786,44274191,44379419,44454270,44862410,44906331,44971824,45432831,45793679,46485183,46867055,47056274,47142722,47417888,48103821,48136487,48762114,49082152,49587383,49831746,50001083,50238492,50251970,50593302,50653751,51405506,51962920,51977519,52484759,52781151,52921750,53209103,53304411,53345124,53834892,53931842,53953163,54304994,54414191,55088594,55217421,55847567,56240466,56469287,56624495,56630812,57768242,58125964,58309511,58458285,58618367,59278055,59729666,59817410,60302364,60555122,61045295,61272587,61689964,62355504,62413727,62459804,63399170,63506100,63758591,64695551,64802762,65194619,65735025,65858927,67350783,67739840,67949394,68099855,68254343,68755151,68766410,69340859,69364456,69792554,70117360,70149942,70348082,70419404,70583639,70757063,71133666,71147567,71177116,71399291,71482431,71780892,72293416,72677147,73254354,73595906,74057691,74253695,74769119,74925554,75418031,75543431,75602500,76079004,76114011,76207320,77258999,78035013,78096232,78373727,78882030,79112303,79268987,79564463,80312879,80670410,80901160,81287808,81330093,81719826,81751071,81911234,82289762,82519692,82526060,82902722,84140832,84205964,84781007,85204607,85635455,85733235,87054071,87858261,87929639,88128520,88542506,89104434,89379323,89395851,89755487,90007271,90411483,90621959,90723000,91013805,91448784,91633787,91738895,92085554,92776394,92898825,92946783,93135170,93250391,93479495,94024463,94346423,94658436,95127794,95432162,95753164,96239291,96509612,96771200,96804492,96992031,97081392,97824695,98367016,98531954,98677634,99031272,99058370,99092080,99144585,99247727,99560255,...,21093874051057149497196673675118745724074526348380033454137426457645154508293876974101482680993991897437532509381045329123930993115483155617995316387487065662234683236407537740139838139018672495428371640312876792182948381895810240914453775179520322422106370723775009389052623912997207140919944153472705592074492447880459676101005093463413392329003287760751931766776003808185984506902137962248687371961002426993101268922705783036009495373587589879984776190985684529160176021899792498422702511768654972608174635178880825208999031601069149115864758411089152940727742816563894266313415227034038935733772559703375951782194262129311863553311177129893945826542093385858708456330946462365220945338954975181036412298315736737726995408246723537184838726069921031918766782808428586201804519792870040119137432135792453593341773201611438383580458266223856095137391268272994351154839202430988343862831066795763156072363486625148358453211763829656671351193447805541484346313557710642302695595654225153675834562559941596988324226246288144390159783570109838793418481669892333488910775784427260755650742146692051519300033183496978186867781709047540348151563480993827716805180023369272332116800101759568739669781727103974036711723095136199602362546575594917778257252395570815237146619381510800704811144970851774794733550961994388511851491464637727440659927960723677341350953038058583052683271744267779354765205746380357510005011655232625258428841284862254985996393490772814016732272141106784413315962142079356129648016579030717233988464501310297868702916332396940679173777554085898916285959339659894162225777602638912821517538529118842573917135268287678918623882251274615300976333186717890081280281901015494830583637717644481227212681314166872180982787014516241279358190528649410484478030309562762381951989011305791573466009154185225103911689095439735434302159616189527116344141821462241350421346526267297213812592004105237405824551706346742111958547881675998351427779492950410690528843326755323599132756674640576161778550043005088185584303240430550065984305199411207485039218054749447186180009338099828322538098712870967496809367937373732519279240353322821312007016723635703299292619490738833660588072400540537885157220592527098566553827276720825201144832816281843702044914727864529550926644809504521613212512361834376965002898893924708235940146528417069144470789570600425991840899443966872593990526318767702064826638766198313817337190592811680757145991242048560936318949778266490378629267179378643645737131133898197567227817516926734281852064027432900344848995055974970212651186777578931044295849445835545363494331718407257549448468659060235749080923720668339464663161782747441178356480671844516985445680865387018549771019441771811453221495124449188329503814744349405829990130126445173639710503515264775610041746371584020279252801919991892473700193710015607489709671081578533476796706365861843727080768491812510091849855440088353124928114221420982809513123313465188095864318327245562927097928706319958315557575106429810496648977271959209789255617662903666971758182023075543434235400019778815489306790902494647482127635336070936152415917523184905818207632400077549699288123308627993132591049850100512524280420308865975340113112117856022209639686892123494448412609104336170897864736496233521711220895389487207976298973752651493920318853982307145601757750767041571615969906756678696296782584305628626775820539927976913867260313226057369270882987874187406409146166675588615307906574948007203987763161672257041890717918540513928931064647089522995694267715780726084745008129330839755552379231689285230821709446875587911013073308571616446805359704036710638509362413290421295355270714184438833720289689240347167071171800538893380320114535929500389929714394420635990177161860383873820179872754186548746816883568626668000193744867101873774857963757339112943097530139962312824408570731829722756758693822670639189377308311204161899013451817203400467073768224124380857145052788703840513880443584246336609831628035240583884236897686969210415576732975670357656665585317505681167888736194658211315232718379360525620488864510976622624095891800067995597245662102509130430499142809585011063428951191773073139792665070815264662518591438585656011829210256383176121069960290980151191918969278410898112305407557362303821504851725775147308848584570778288766603543088979525460442480411491333101233324019631723327340128247565569455726279848486425861292871983890964525155013489987484897134903815147893350249304018129391475536770695467705370285785685147163778081809431782140892687559624392063543673062993682507361124103674396520545980524497526346265454546429392725344497104346279531408771575990386405319144182202764567407899660526278163613520130288432103491551259724457037847138653376508913015559413761100659979246329023433721298685751614493825086090293013548}
30266  629686773854865382920819521496928515165634402220887141101126285816062102119539814813604: {211813,302590,363108,393289,665566,1299589,1391086,1694168,1905939,2268975,2384773,2420240,2478286,2722770,2904288,2926393,3202366,3267324,3684766,3827653,4046398,4596632,4727113,4906789,5010046,5171211,6213166,7127908,7654798,7711455,7894846,8225552,8306953,8485189,8946008,9094126,9197413,9253746,10052398,10064259,10411486,10441033,10977483,11607406,12185044,12917689,13759655,13798789,15066526,16299899,16511586,16850446,17629208,17947348,18986398,19074392,19656650,19832859,20170798,20762398,20821588,21298755,21458691,21820453,22718672,22888846,22974244,23285570,23587980,23714398,23950126,24231589,24403273,25160512,25558506,25716046,25774153,25945189,26969893,27478366,27630255,27942684,27987028,28305576,28923411,29181193,29472272,29939566,30131044,30615128,31109086,31717573,31843773,31886089,32149155,32160286,32510398,32791955,32895673,33156306,33265100,33615939,34292432,34442019,35189806,35451579,35654926,36242233,36371672,37396846,37414083,37809368,38578986,38671966,39246488,39350346,39918120,40018975,40060798,40275615,40384933,40407646,40869886,40875483,40918131,41043589,41208073,41490652,41865289,42029413,42535539,42579328,42946798,42946883,42960656,43292446,43884255,44152299,44319589,44540575,44907885,45296773,45467555,45774628,45784393,46109113,46482388,46809872,46845650,47566789,47728393,47772766,47901744,48022770,48330738,48345406,48374089,48688798,49983289,50175166,50746126,50945353,51224288,51544798,51772846,52661106,52839268,53180089,53339173,53448690,53889462,54552515,54561066,54958798,55362099,55866766,56190373,56214780,56660398,57011936,57226798,57627324,58705189,59262526,59272360,59714206,59875108,59962432,60267589,60391246,60452211,60577108,60693899,61201573,61352690,61980244,62081326,62417199,62752453,62798115,63256739,63525193,63655486,63992398,64138428,64953650,65016152,65114398,65463018,65525893,66235179,66442328,66445189,66681405,66984656,67293615,67457736,67688926,68334203,68580133,68732089,69028798,69490789,69809326,70374868,70584411,70714083,70788515,71072548,71126832,71479246,71756089,71779856,71812798,72657455,73143171,73623228,74005189,74747619,74987288,75357738,75377955,75472366,75889953,77108259,77112455,77944380,78074755,78307513,79382625,80017686,80403152,80752338,80897763,81457491,82115891,82300798,82632891,83140672,83396398,83615326,84360699,84674800,84709006,84946218,85726789,85910206,86071139,86652363,86705570,86830679,86891566,87188946,87646700,88024255,88971395,89153413,89176366,89295289,89437093,89594499,89726115,89801044,89936398,90366770,90453546,90599192,90710089,90832683,91778926,92103598,92117689,92534946,92860606,93533256,93689706,93724798,94354873,94503125,94803598,94844888,95098755,95259150,95309908,95342398,95605189,95707856,96741406,97204143,97620290,97672472,98352286,98499913,98743588,98910853,99638398,99867193,...,31640811076585724245795010512678118586111789522570050181206139686467731762440815461152224021490987846156298764071567993685896489673224733426992974581230598493352024854611306610209757208528008743142557460469315188274422572843715361371680662769280483633159556085662514083578935869495810711379916230209058388111738671820689514151507640195120088493504931641127897650164005712278976760353206943373031057941503640489651903384058674554014243060381384819977164286478526793740264032849688747634053767652982458912261952768321237813498547401603723673797137616633729411091614224845841399470122840551058403600658839555063927673291393193967795329966765694840918739813140078788062684496419693547831418008432462771554618447473605106590493112370085305777258089104881547878150174212642879302706779689305060178706148203688680390012659802417157575370687399335784142706086902409491526732258803646482515794246600193644734108545229937722537679817645744485007026790171708312226519470336565963454043393481337730513751843839912395482486339369432216585239675355164758190127722504838500233366163676640891133476113220038077278950049775245467280301672563571310522227345221490741575207770035053908498175200152639353109504672590655961055067584642704299403543819863392376667385878593356222855719929072266201057216717456277662192100326442991582767777237196956591160989891941085516012026429557087874579024907616401669032147808619570536265007517482848937887643261927293382478994590236159221025098408211660176619973943213119034194472024868546075850982696751965446803054374498595411018760666331128848374428939009489841243338666403958369232276307793678263860875702902431518377935823376911922951464499780076835121920422851523242245875456576466721840819021971250308271474180521774361919037285792974115726717045464344143572927983516958687360199013731277837655867533643159603151453239424284290674516212732193362025632019789400945820718888006157856108736827559520113167937821822513997527141669239425616035793264990132985398699135011960864242667825064507632278376454860645825098976457799116811227558827082124170779270014007149742483807148069306451245214051906060598778918860529984231968010525085453554948938929236108250490882108600810806827735830888790647849830740915081237801717249224422765553067372091796794326389967214256782419818768542751565447504348340887062353910219792625603716706184355900638987761349165950308890985789478151553097239958149297470726005785889217521135718986863072841404478424667399735567943900769067965468605696700847296350841726275390101422778096041149350517273492583962455318976780166368396566443774168753318045241497577610886324172702988590353623621385581002509196994742674121161767534721007766775478168521298080527824656529162657717179832242686673782494255722116524108744985195189667760459565755272897163415062619557376030418879202879987838710550290565023411234564506622367800215195059548792765590621152737718765137774783160132529687392171332131474214269684970197782143796477490868344390646893059479937473336362659644715744973465907938814683883426494355500457637273034613315151353100029668223233960186353741971223191453004106404228623876284777358727311448600116324548932184962941989698886574775150768786420630463298963010169668176784033314459530338185241672618913656504256346797104744350282566831343084230811964448460628977240880478280973460718402636626150562357423954860135018044445173876458442940163730809891965370800890469839086053906324481811281109613719250013382922961859862422010805981644742508385562836076877810770893396596970634284493541401573671089127117512193996259633328568847533927846232564170313381866519609962857424670208039556055065957764043619935631943032906071276658250580434533860520750606757700808340070480171803894250584894571591630953985265742790575810730269809131279823120225325352940002000290617300652810662286945636008669414646295209943469236612856097744584135138040734005958784065962466806242848520177725805100700610652336186571285717579183055760770820665376369504914747442052860875826355346530453815623365099463505536484998377976258521751833104291987316972849077569040788430733296766464933936143837700101993395868493153763695645748714214377516595143426787659609709688997606222896993777887157878484017743815384574764181604940436470226787878453917616347168458111336043455732257277588662720963272876856167433149905314633469288190663720617236999651849986029447584991010192371348354183589419772729638791939307975836446787732520234981227345702355722721840025373956027194087213305156043201558055428678527720745667122714147673211339031339436588095315509594490523761041686155511594780818970786746289519398181819644089088016745656519419297113157363985579607978716273304146851111849490789417245420280195432648155237326889586685556770707980064763369523339120641650989968869493535150581948028627421740737629135439520322}
30267  631635578944263890784525677300410507851753761669951775733228961963842107534130465071429: {453885,484144,544662,998349,1482397,2086629,2117710,2541252,3025300,3630360,3717429,3872384,4022053,4084155,4356432,4803549,4900986,5110729,5527149,5745790,6069597,6894948,7197358,7515069,7827757,8648926,8909885,9319749,10281940,10691862,11182510,11482197,11842269,12179869,12338328,13419012,13641189,13880619,14636644,15078597,15231305,15425557,15617229,16690093,16887949,17411109,17608349,18277566,19597853,19878838,20612086,21238333,22015448,22036510,22434185,22599789,22788142,23842990,24132197,24767379,25275669,25788238,26026985,26292877,26414902,26443812,26788237,26921022,27207497,28398340,28479597,28481429,28579606,28611588,28641769,28717805,29484975,30005878,30256197,31143597,31232382,31450640,31825213,32204926,32642957,33083197,34078008,34333269,34340677,34461366,34928355,34983785,34986733,35381970,35571597,35904233,35925189,36840340,37256912,37590574,37663805,37740768,38005438,38268910,38337759,38420413,38564548,38574069,40958638,41217549,41581375,41914026,41980542,42458364,42865540,43080886,44208408,44495638,44821252,44909349,45196566,45283669,45389333,45464590,45633593,45922692,46663629,47261710,47268772,48027517,48240429,48470686,48765597,49058110,49351702,49734459,49885444,49897650,51438648,51863315,52467128,52784709,53224160,53482389,53700820,54500644,54557508,55273493,55714126,55804669,56095269,56714052,56889133,57218285,57577349,57868479,57893177,58007949,58050166,58102985,58137037,58512340,58611574,58869732,59025519,59092189,59877180,60091197,60611469,61304829,61427977,62235978,62417869,62607838,62661013,62807374,63762829,63868992,64030360,64420197,64440984,64938669,65104702,65137853,65613877,66049085,67075013,67679254,68091433,68661942,68752318,69271918,69723582,70133177,70214808,70268475,70352758,71264920,71659149,71852616,72034155,72496107,72518109,72748088,73033197,73816132,74090450,74167157,74843885,74953040,74982413,75262749,75721385,76119189,76836432,77317197,77475305,77659269,78991659,79258902,79274293,79517869,80173035,80602948,80834193,81033934,81270190,81841599,82438197,82989277,83052910,83222932,83636453,83730820,83744374,83800149,84322170,84687886,84722249,84990597,85463413,85517904,85840197,86348293,86440986,87284024,87964918,87968585,88271273,88313572,88548382,88758838,88840685,88893789,88908540,89571309,89724820,89761453,89812662,89943648,90586869,90627973,90730469,90865662,91506053,91587358,92029035,92970366,93121989,93734110,94030729,94112548,94285444,94835776,95339797,95483229,95988597,96207642,96214669,96272974,97430475,97524228,97601573,97671597,98164304,98194527,99174766,99663492,...,47461216614878586368692515769017177879167684283855075271809209529701597643661223191728336032236481769234448146107351990528844734509837100140489461871845897740028037281916959915314635812792013114713836190703972782411633859265573042057520994153920725449739334128493771125368403804243716067069874345313587582167608007731034271227261460292680132740257397461691846475246008568418465140529810415059546586912255460734477855076088011831021364590572077229965746429717790190610396049274533121451080651479473688368392929152481856720247821102405585510695706424950594116637421337268762099205184260826587605400988259332595891509937089790951692994950148542261378109719710118182094026744629540321747127012648694157331927671210407659885739668555127958665887133657322321817225261318964318954060169533957590268059222305533020585018989703625736363056031099003676214059130353614237290098388205469723773691369900290467101162817844906583806519726468616727510540185257562468339779205504848945181065090222006595770627765759868593223729509054148324877859513032747137285191583757257750350049245514961336700214169830057115918425074662868200920452508845356965783341017832236112362811655052580862747262800228959029664257008885983941582601376964056449105315729795088565001078817890034334283579893608399301585825076184416493288150489664487374151665855795434886741484837911628274018039644335631811868537361424602503548221712929355804397511276224273406831464892890940073718491885354238831537647612317490264929960914819678551291708037302819113776474045127948170204581561747893116528140999496693272561643408514234761865007999605937553848414461690517395791313554353647277566903735065367884427196749670115252682880634277284863368813184864700082761228532956875462407211270782661542878555928689461173590075568196516215359391975275438031040298520596916756483801300464739404727179859136426436011774319098290043038448029684101418731078332009236784163105241339280169751906732733770996290712503859138424053689897485199478098048702517941296364001737596761448417564682290968737648464686698675216841338240623186256168905021010724613725710722103959676867821077859090898168378290794976347952015787628180332423408393854162375736323162901216210241603746333185971774746111372621856702575873836634148329601058137695191489584950821385173629728152814127348171256522511330593530865329688938405575059276533850958481642023748925463336478684217227329645859937223946206089008678833826281703578480294609262106717637001099603351915851153601948202908545051270944526262589413085152134167144061724025775910238875943682978465170249552594849665661253129977067862246366416329486259054482885530435432078371503763795492114011181742651302081511650163217252781947120791736984793743986575769748364030010673741383583174786163117477792784501640689348632909345745122593929336064045628318804319981758065825435847535116851846759933551700322792589323189148385931729106578147706662174740198794531088256998197211321404527455296673215694716236302516585970339589219906210004543989467073617460198861908222025825139741533250686455909551919972727029650044502334850940279530612956834787179506159606342935814427166038090967172900174486823398277444412984548329862162726153179630945694948444515254502265176049971689295507277862508928370484756384520195657116525423850247014626346217946672690943465861320717421460191077603954939225843536135932290202527066667760814687664410245596214837948056201335704758629080859486722716921664420578875020074384442789793633016208972467113762578344254115316716156340094895455951426740312102360506633690676268290994389449992853271300891769348846255470072799779414944286137005312059334082598936646065429903447914549359106914987375870651800790781125910136551212510105720257705841375877341857387446430977898614185863716095404713696919734680337988029410003000435925950979215993430418454013004121969442814915203854919284146616876202707061101008938176098943700209364272780266588707651050915978504279856928576368774583641156230998064554257372121163079291313739533019795680723435047649195258304727497566964387782627749656437980975459273616353561182646099945149697400904215756550152990093802739730645543468623071321566274892715140181489414564533496409334345490666830736817726026615723076862146272407410654705340181817680876424520752687167004065183598385916382994081444909315284251149724857971950203932285995580925855499477774979044171377486515288557022531275384129659094458187908961963754670181598780352471841018553533584082760038060934040791130819957734064802337083143017791581118500684071221509817008547009154882142973264391735785641562529233267392171228456180119434279097272729466133632025118484779128945669736045978369411968074409956220276667774236184125868130420293148972232855990334380028335156061970097145054285008680962476484953304240302725872922042941132611106443703159280483}
30268  633590380344914248898227872147560797789294555697319020099661722248803648034750565041211: {423626,605180,726216,786578,816993,1331132,2143987,2599178,2782172,3176565,3227227,3388336,3781625,3811878,3947947,4487731,4537950,4769546,4840480,4956572,5385931,5445540,5808576,5852786,5923987,6404732,6534648,7176931,7351479,7369532,7655306,7712827,8092796,8618685,9193264,9454226,9813578,10020092,10342422,10382587,10796037,11622931,11976667,12426332,12852425,12859747,12973389,13388731,14255816,14268931,15147331,15309596,15422910,15789692,16037793,16451104,16613906,16773765,16970378,17771731,17892016,18188252,18295805,18394826,18507492,19263517,20104796,20128518,20726467,20822972,20882066,21954966,23214812,24370088,24690931,25205227,25835378,25889947,27255931,27416349,27519310,27596707,27597578,28447387,29818257,30133052,30918129,30988627,32599798,33023172,33054765,33700892,34182213,35258416,35497925,35764485,35894696,36522331,37353931,37852027,37972796,38148784,38183731,38682357,39313300,39507667,39622353,39665718,40341596,40381533,40662331,41524796,41643176,41813467,42597510,42869409,42917382,43640906,45008817,45082987,45437344,45777692,45908737,45948488,46050425,46058227,46382731,46571140,46848573,46868947,47175960,47428796,47900252,48205685,48307389,48463178,48484987,48806546,48807331,49129387,50321024,51117012,51432092,51548306,51692049,51890378,53072955,53581925,53939786,54956732,55193731,55260510,55885368,55974056,55983931,56026565,56385861,56611152,57008157,57403365,57558931,57846822,58362386,58813747,58944544,59085965,59879132,60262088,61230256,61437957,62218172,62356805,62705347,62871039,62970813,63435146,63478267,63654577,63687546,63772178,64298310,64320572,64621329,65020796,65583910,65632867,65791346,66312612,66530200,66743457,67126025,67231878,67315867,67794849,67925707,68125805,68196885,68382331,68584864,68838307,68884038,70202347,70379612,70892565,70903158,71309852,71409931,72462787,72484466,72706029,72743344,73140425,73362427,73587165,74027553,74110147,74793692,74828166,74846475,75153931,75451507,75618736,76373521,76638931,77157972,77343932,77378731,77821747,78411427,78492976,78700692,79836240,80037950,80121596,80319931,80551230,80769866,80815292,81050731,81739772,81750966,81836262,82087178,82416146,82981304,83571189,83730578,83955931,84058826,84110609,85071078,85158656,85893596,85893766,85921312,86402707,86584892,86832331,87075249,87768510,87832267,87917361,87974827,88304598,88639178,89081150,89815770,90104587,90593546,90935110,91092931,91515427,91549256,91568786,92218226,92270165,92919067,92964776,93353967,93478507,93619744,93691300,93911757,94211061,94593931,95011027,95133578,95456786,95545532,95566147,95803488,96045540,96078917,96661476,96690812,96748178,97046053,97377596,97637587,97657053,97775107,99103921,99829267,99966578,...,63281622153171448491590021025356237172223579045140100362412279372935463524881630922304448042981975692312597528143135987371792979346449466853985949162461196986704049709222613220419514417056017486285114920938630376548845145687430722743361325538560967266319112171325028167157871738991621422759832460418116776223477343641379028303015280390240176987009863282255795300328011424557953520706413886746062115883007280979303806768117349108028486120762769639954328572957053587480528065699377495268107535305964917824523905536642475626997094803207447347594275233267458822183228449691682798940245681102116807201317679110127855346582786387935590659933531389681837479626280157576125368992839387095662836016864925543109236894947210213180986224740170611554516178209763095756300348425285758605413559378610120357412296407377360780025319604834315150741374798671568285412173804818983053464517607292965031588493200387289468217090459875445075359635291488970014053580343416624453038940673131926908086786962675461027503687679824790964972678738864433170479350710329516380255445009677000466732327353281782266952226440076154557900099550490934560603345127142621044454690442981483150415540070107816996350400305278706219009345181311922110135169285408598807087639726784753334771757186712445711439858144532402114433434912555324384200652885983165535554474393913182321979783882171032024052859114175749158049815232803338064295617239141072530015034965697875775286523854586764957989180472318442050196816423320353239947886426238068388944049737092151701965393503930893606108748997190822037521332662257696748857878018979682486677332807916738464552615587356527721751405804863036755871646753823845902928999560153670243840845703046484491750913152933443681638043942500616542948361043548723838074571585948231453434090928688287145855967033917374720398027462555675311735067286319206302906478848568581349032425464386724051264039578801891641437776012315712217473655119040226335875643645027995054283338478851232071586529980265970797398270023921728485335650129015264556752909721291650197952915598233622455117654164248341558540028014299484967614296138612902490428103812121197557837721059968463936021050170907109897877858472216500981764217201621613655471661777581295699661481830162475603434498448845531106134744183593588652779934428513564839637537085503130895008696681774124707820439585251207433412368711801277975522698331900617781971578956303106194479916298594941452011571778435042271437973726145682808956849334799471135887801538135930937211393401694592701683452550780202845556192082298701034546985167924910637953560332736793132887548337506636090482995155221772648345405977180707247242771162005018393989485348242323535069442015533550956337042596161055649313058325315434359664485373347564988511444233048217489970390379335520919131510545794326830125239114752060837758405759975677421100581130046822469129013244735600430390119097585531181242305475437530275549566320265059374784342664262948428539369940395564287592954981736688781293786118959874946672725319289431489946931815877629367766852988711000915274546069226630302706200059336446467920372707483942446382906008212808457247752569554717454622897200232649097864369925883979397773149550301537572841260926597926020339336353568066628919060676370483345237827313008512693594209488700565133662686168461623928896921257954481760956561946921436805273252301124714847909720270036088890347752916885880327461619783930741601780939678172107812648963622562219227438500026765845923719724844021611963289485016771125672153755621541786793193941268568987082803147342178254235024387992519266657137695067855692465128340626763733039219925714849340416079112110131915528087239871263886065812142553316501160869067721041501213515401616680140960343607788501169789143183261907970531485581151621460539618262559646240450650705880004000581234601305621324573891272017338829292590419886938473225712195489168270276081468011917568131924933612485697040355451610201401221304672373142571435158366111521541641330752739009829494884105721751652710693060907631246730198927011072969996755952517043503666208583974633945698155138081576861466593532929867872287675400203986791736986307527391291497428428755033190286853575319219419377995212445793987555774315756968035487630769149528363209880872940453575756907835232694336916222672086911464514555177325441926545753712334866299810629266938576381327441234473999303699972058895169982020384742696708367178839545459277583878615951672893575465040469962454691404711445443680050747912054388174426610312086403116110857357055441491334245428295346422678062678873176190631019188981047522083372311023189561637941573492579038796363639288178176033491313038838594226314727971159215957432546608293702223698981578834490840560390865296310474653779173371113541415960129526739046678241283301979937738987070301163896057254843481475258270879040644}
30269  635551196399793669483199221137753101232274406019750167491790391171408544597293457649952: {30269,635439,756475,907770,968288,1089324,1179867,1663915,1996698,2964794,3477715,3898767,4173258,4235420,5082504,5655067,5717817,6050600,6195715,6806925,7154319,7260720,7434858,7744768,8005915,8044106,8168310,8712864,8779179,9211915,9607098,9801972,10115995,10221458,11054298,11482959,11491580,12139194,12473839,12525115,13789896,14181339,14394716,14720367,14899939,15030138,15513633,15532915,15619087,15655514,15987967,17297852,17819770,18639498,19136995,19737115,20262187,20563880,20809867,21057067,21323827,21383724,22365020,22735315,22964394,23134365,23161099,23576047,23684538,24359738,24676656,24920859,25130995,25407451,25455567,26028715,26838024,26971279,27282378,27592239,27761238,29018515,29273288,29535451,29870767,30157194,30192777,30408379,30462610,30851114,31234458,31323099,31407859,32181787,32407819,32932449,33380186,33775898,34822218,35216698,36428467,36437779,36555132,37655659,37666315,38380387,38753067,39195706,39757676,40204927,40963759,41224172,41278965,41396367,42126115,42476666,42568459,44030896,44073020,44868370,45199578,45576284,46051951,46397419,47465995,47685980,48264394,48899697,48977299,49141625,49348651,49534758,50426995,50551338,50744347,51002251,51576476,51639691,51905995,52053970,52585754,52729327,52829804,52887624,53576474,53641939,53842044,54414994,55277167,56796680,56959194,56962858,57159212,57222115,57223176,57283538,57435610,57897019,58158787,58213925,58969950,59285995,59498577,59875315,60011756,60512394,62117971,62287194,62464764,62901280,63650426,63896265,64290115,64376073,64409852,64704139,65285914,65323219,65461359,65799151,66166394,68156016,68666538,68681354,68695915,68922732,69098851,69739087,69856710,69967570,69973466,70763940,71143194,71157019,71808466,71850378,72608641,72694767,72978811,73209819,73680680,74172079,74513824,74848915,74966191,75150979,75181148,75327610,75481536,75553459,75643051,76010876,76250899,76537820,76675518,76840826,76981099,77129096,77148138,77322459,77772715,77835567,78315667,78384139,79232947,80105599,80400715,80909679,81275995,81344179,81917276,82435098,82852267,82890765,83162750,83376619,83828052,83961084,84916728,85731080,86161772,86471587,86770233,87543579,87974515,87977599,88277131,88416816,88615579,88737451,88991276,89137315,89642504,89818698,90019219,90393132,90567338,90778666,90929180,91267186,91845384,92468719,92528467,93327258,93492115,93502699,94358947,94523420,94537544,94873459,95152719,95531319,95658267,96055034,96447465,96480858,96679915,96941372,97531194,98116220,98375865,98623579,98687019,98703404,99468918,99770888,99795300,...,94922433229757172737385031538034355758335368567710150543618419059403195287322446383456672064472963538468896292214703981057689469019674200280978923743691795480056074563833919830629271625584026229427672381407945564823267718531146084115041988307841450899478668256987542250736807608487432134139748690627175164335216015462068542454522920585360265480514794923383692950492017136836930281059620830119093173824510921468955710152176023662042729181144154459931492859435580381220792098549066242902161302958947376736785858304963713440495642204811171021391412849901188233274842674537524198410368521653175210801976518665191783019874179581903385989900297084522756219439420236364188053489259080643494254025297388314663855342420815319771479337110255917331774267314644643634450522637928637908120339067915180536118444611066041170037979407251472726112062198007352428118260707228474580196776410939447547382739800580934202325635689813167613039452937233455021080370515124936679558411009697890362130180444013191541255531519737186447459018108296649755719026065494274570383167514515500700098491029922673400428339660114231836850149325736401840905017690713931566682035664472224725623310105161725494525600457918059328514017771967883165202753928112898210631459590177130002157635780068668567159787216798603171650152368832986576300979328974748303331711590869773482969675823256548036079288671263623737074722849205007096443425858711608795022552448546813662929785781880147436983770708477663075295224634980529859921829639357102583416074605638227552948090255896340409163123495786233056281998993386545123286817028469523730015999211875107696828923381034791582627108707294555133807470130735768854393499340230505365761268554569726737626369729400165522457065913750924814422541565323085757111857378922347180151136393032430718783950550876062080597041193833512967602600929478809454359718272852872023548638196580086076896059368202837462156664018473568326210482678560339503813465467541992581425007718276848107379794970398956196097405035882592728003475193522896835129364581937475296929373397350433682676481246372512337810042021449227451421444207919353735642155718181796336756581589952695904031575256360664846816787708324751472646325802432420483207492666371943549492222745243713405151747673268296659202116275390382979169901642770347259456305628254696342513045022661187061730659377876811150118553067701916963284047497850926672957368434454659291719874447892412178017357667652563407156960589218524213435274002199206703831702307203896405817090102541889052525178826170304268334288123448051551820477751887365956930340499105189699331322506259954135724492732832658972518108965771060870864156743007527590984228022363485302604163023300326434505563894241583473969587487973151539496728060021347482767166349572326234955585569003281378697265818691490245187858672128091256637608639963516131650871695070233703693519867103400645585178646378296771863458213156295413324349480397589062176513996394422642809054910593346431389432472605033171940679178439812420009087978934147234920397723816444051650279483066501372911819103839945454059300089004669701880559061225913669574359012319212685871628854332076181934345800348973646796554888825969096659724325452306359261891389896889030509004530352099943378591014555725017856740969512769040391314233050847700494029252692435893345381886931722641434842920382155207909878451687072271864580405054133335521629375328820491192429675896112402671409517258161718973445433843328841157750040148768885579587266032417944934227525156688508230633432312680189790911902853480624204721013267381352536581988778899985706542601783538697692510940145599558829888572274010624118668165197873292130859806895829098718213829974751741303601581562251820273102425020211440515411682751754683714774892861955797228371727432190809427393839469360675976058820006000871851901958431986860836908026008243938885629830407709838568293233752405414122202017876352197887400418728545560533177415302101831957008559713857152737549167282312461996129108514744242326158582627479066039591361446870095298390516609454995133928775565255499312875961950918547232707122365292199890299394801808431513100305980187605479461291086937246142643132549785430280362978829129066992818668690981333661473635452053231446153724292544814821309410680363635361752849041505374334008130367196771832765988162889818630568502299449715943900407864571991161851710998955549958088342754973030577114045062550768259318188916375817923927509340363197560704943682037107067168165520076121868081582261639915468129604674166286035583162237001368142443019634017094018309764285946528783471571283125058466534784342456912360238868558194545458932267264050236969558257891339472091956738823936148819912440553335548472368251736260840586297944465711980668760056670312123940194290108570017361924952969906608480605451745844085882265222212887406318560966}
30270  637518045507665133164916554542798340130432489712310006960874121569687471078751772303183: {332849,514301,847252,876989,1210360,1361655,1420481,1452432,1573156,1633986,1782449,2023601,2204381,2505521,2662264,2686109,2995047,3047069,3287549,3948209,4128221,4287974,4447191,4547969,4727741,5027201,5198356,5206781,5294275,5386289,5446109,5564344,5984129,6259887,6342449,6353130,6454454,6700481,6776672,7236989,7563250,7623756,7713341,7895894,8426909,8975462,9075900,9317249,9539092,9680960,9913144,10442429,10560701,10771862,10891080,11152287,11617152,11623709,11705572,11847974,11859581,12066159,12252465,12507569,12809464,12919421,13069296,13918001,14353862,14364475,14410647,14702958,14739064,15148349,15310612,15332187,15425654,16185592,16258481,16581447,17237370,17423921,17772929,17831069,17993395,18005441,18208791,18386528,18908452,18992189,19513649,19627156,20040184,20207921,20684844,20727869,20765174,21592074,21622315,21650621,21823409,21938561,22545207,22686269,23203121,23245862,23483271,23489981,23953334,24349361,24852664,25264049,25614127,25704850,25719494,25891709,25946778,25948721,26062721,26632241,26729655,26777462,27485021,27956275,27959247,28336001,28511632,28537862,28789121,29806769,30294662,30371009,30619192,30652829,30845820,30990749,31047041,31215869,31579384,31834289,32002781,32075586,32171201,32563901,32732081,32902208,33227812,33547530,33940756,34446591,34688861,35526807,35543462,35784032,35913821,36247229,36376504,36539607,36591610,36789652,37014984,37411889,38241629,38527034,39345149,40209592,40257036,40390529,40923567,41158961,41323421,41452934,41641857,41645944,41764132,41871101,42636509,43127729,43454849,43909932,44760449,44977601,45235791,45411521,45693915,45899069,46061441,46115549,46223741,46276671,46429624,46440029,46602161,46851687,47573441,47681201,48488381,48542129,48740176,49132829,49186481,49381862,49454621,49697095,49990301,50070279,50410454,50632061,50663847,51530215,51670756,51779894,51858881,52071809,52233327,52825047,52869149,53028401,53293661,54511862,54832698,55038620,55091275,55193414,55195156,55250369,55829981,56198321,56356061,56894774,56970355,58347869,58793559,58817921,58870109,59607475,59636514,60266104,60743549,61836258,61977254,62090141,62761409,62864561,63070769,63534269,63637181,63714999,63997121,64470595,64561949,65199596,65637569,66037255,66046344,66109530,66301661,67302555,67401784,67473281,67487959,67799367,68082881,68364426,68590001,68843261,69500801,69955229,70207409,70516832,70995850,71415089,71449015,71528970,71789392,72367901,72396591,73044662,73417649,74115521,74165309,74302137,74707862,74911169,75014695,75159389,75209009,75456989,75704054,75827007,75945592,76297568,76367462,76644509,76693889,77364714,77729021,77974961,78080955,78417149,78437191,78626600,78878631,79015334,79244706,79331436,79446401,79593149,80364711,80512315,80683192,80763066,81105329,81324662,81622491,81785729,82076849,82720351,83049592,83286352,83626934,83721089,85195020,85438791,85444287,85738818,85739441,85834764,85835201,85925307,86153415,86695601,86838749,87281812,87299527,87886301,88028849,88454925,89450369,89544881,90016961,90017634,90165974,90768591,90874688,91099709,91146689,91522241,91555384,91817474,91896976,92100850,92116454,92505629,92692541,92765462,92972669,93142280,93430791,93697146,93737894,93950849,93976435,94351920,94461821,94601009,94647389,94786481,94857592,95013595,95018141,95064449,95342129,95376127,95475639,95619521,95672275,95800504,96411370,96542081,96614778,96864221,96926356,96969974,97002161,97613092,97614662,97690781,97928871,98240381,98258774,98514749,99249591,99403447,99882269,...,142383649844635759106077547307051533637503052851565225815427628589104792930983669575185008096709445307703344438322055971586534203529511300421468385615537693220084111845750879745943907438376039344141508572111918347234901577796719126172562982461762176349218002385481313376105211412731148201209623035940762746502824023193102813681784380878040398220772192385075539425738025705255395421589431245178639760736766382203433565228264035493064093771716231689897239289153370571831188147823599364353241954438421065105178787457445570160743463307216756532087119274851782349912264011806286297615552782479762816202964777997787674529811269372855078984850445626784134329159130354546282080233888620965241381037946082471995783013631222979657219005665383875997661400971966965451675783956892956862180508601872770804177666916599061755056969110877209089168093297011028642177391060842711870295164616409171321074109700871401303488453534719751419559179405850182531620555772687405019337616514546835543195270666019787311883297279605779671188527162444974633578539098241411855574751271773251050147736544884010100642509490171347755275223988604602761357526536070897350023053496708337088434965157742588241788400686877088992771026657951824747804130892169347315947189385265695003236453670103002850739680825197904757475228553249479864451468993462122454997567386304660224454513734884822054118933006895435605612084273807510644665138788067413192533828672820220494394678672820221155475656062716494612942836952470794789882744459035653875124111908457341329422135383844510613744685243679349584422998490079817684930225542704285595023998817812661545243385071552187373940663060941832700711205196103653281590249010345758048641902831854590106439554594100248283685598870626387221633812347984628635667786068383520770226704589548646078175925826314093120895561790750269451403901394218214181539577409279308035322957294870129115344089052304256193234996027710352489315724017840509255720198201312988872137511577415272161069692455598434294146107553823889092005212790284345252694046872906212945394060096025650524014721869558768506715063032173841177132166311879030603463233577272694505134872384929043856047362884540997270225181562487127208969488703648630724811238999557915324238334117865570107727621509902444988803174413085574468754852464155520889184458442382044513769567533991780592595989066815216725177829601552875444926071246776390009436052651681988937579811671838618267026036501478845110735440883827786320152911003298810055747553460805844608725635153812833578787768239255456402501432185172077327730716627831048935395510748657784548996983759389931203586739099248988458777163448656591306296235114511291386476342033545227953906244534950489651758345841362375210954381231959727309245092090032021224150749524358489352433378353504922068045898728037235367781788008192136884956412959945274197476307542605350555540279800655100968377767969567445157795187319734443119986524220596383593264770994591633964213582365890019647084148708907549757911018767659718630013631968401220852380596585724666077475419224599752059367728655759918181088950133507004552820838591838870504361538518478819028807443281498114272901518700523460470194832333238953644989586488178459538892837084845333545763506795528149915067886521833587526785111454269153560586971349576271550741043879038653840018072830397583962152264380573232811864817677530608407796870607581200003282444062993230736788644513844168604007114275887242578460168150764993261736625060223153328369380899048626917401341287735032762345950148469020284686367854280220936307081519901072028804872983168349978559813902675308046538766410218399338244832858411015936178002247796809938196289710343743648077320744962127611955402372343377730409653637530317160773117524127632025572162339292933695842557591148286214141090759204041013964088230009001307777852937647980291255362039012365908328444745611564757852439850628608121183303026814528296831100628092818340799766122953152747935512839570785729106323750923468692994193662772116363489237873941218599059387042170305142947585774914182492700893163347883248969313942926377820849060683547938299835449092202712647269650458970281408219191936630405869213964698824678145420544468243693600489228003036472000492210453178079847169230586438817222231964116020545453042629273562258061501012195550795157749148982244334727945852753449174573915850611796857986742777566498433324937132514132459545865671067593826152388977283374563726885891264010544796341057415523055660600752248280114182802122373392459873202194407011249429053374743355502052213664529451025641027464646428919793175207356924687587699802176513685368540358302837291818188398400896075355454337386837009208137935108235904223229868660830003322708552377604391260879446916698567971003140085005468185910291435162855026042887429454859912720908177618766128823397833319331109477841449}
30271  639490946123246060997011173211754548343879908624281167531433503619135817326403025187944: {30271,60538,1059065,1270878,1512950,1815540,1936576,1966445,2178648,2329481,2359734,2450979,3327830,3993396,4868801,5929588,6320369,6431961,6497945,6683261,6955430,7797534,8346516,8470840,8674001,9529695,9681681,10165008,11208281,11310134,11344875,11435634,11843841,11923865,12101200,12300761,12391430,12896681,13463193,13613850,14162393,14308638,14521440,14631965,14869716,15489536,15927521,16011830,16088212,16157793,16336620,16652873,17425728,17535161,17558358,17771961,18423830,18458921,19138265,19214196,19603944,20231990,20442916,21530793,21746081,22054437,22084241,22108596,22965918,22983160,23138481,23534369,23635565,23946221,24240161,24278388,24533945,24947678,25050230,25709561,25856055,26227289,26791793,27159689,27579792,27631961,27862601,28362678,28789432,29440734,29799878,30060276,31027266,31065830,31147761,31238174,31311028,31829441,31975934,32388111,34382993,34595704,34642841,34868793,34905533,35183393,35639540,35930001,36440201,37278996,37454621,38033021,38273990,38557275,38579241,38920167,39474230,40166193,40252601,40524374,40625921,40714169,41127760,41339693,41534765,41619734,42095801,42114134,42352361,42425945,42647654,42767448,42806793,44730040,45441993,45470630,45928788,45987065,46268730,46322198,46508921,47152094,47369076,47576513,48113379,48719476,49353312,49597241,49841718,50011049,50261990,50321295,50814902,50911134,51987881,52057430,52205165,52495193,52732841,53219681,53315193,53390189,53676048,53942558,53963921,54425033,54564756,54817073,54887415,55184478,55201049,55522476,57790551,58037030,58321133,58546576,58976561,59070902,59184941,59741534,60314388,60385554,60816758,60925220,60995801,61702228,62179401,62468916,62646198,62815718,63867773,64363574,64588445,64708433,64815638,65327561,65864898,66401969,66452393,66760372,67551796,68798275,68993945,69644436,70433396,70597793,72668393,72856934,72875558,73110264,73864289,74072793,75311318,75332630,75452669,75558473,75615681,76538753,76760774,77274401,77506134,77669841,77762633,78391412,79515352,79528433,80110961,80328893,80409854,81464861,81499495,81767793,81927518,82249047,82418921,82448344,82557930,82790121,82792734,83000393,83382161,83825441,84252230,84953332,85136918,85221593,85342161,86893841,88061792,88146040,89396333,89397209,89454771,89736740,90006161,90025193,90399156,91152568,91358201,92103902,92754387,92794838,92965881,93185633,94365209,94931990,95250413,95371960,96174281,96227441,96258473,96528788,97799394,97954598,98283250,98697302,99069516,99164295,99951161,...,189844866459514345474770063076068711516670737135420301087236838118806390574644892766913344128945927076937792584429407962115378938039348400561957847487383590960112149127667839661258543251168052458855344762815891129646535437062292168230083976615682901798957336513975084501473615216974864268279497381254350328670432030924137084909045841170720530961029589846767385900984034273673860562119241660238186347649021842937911420304352047324085458362288308919862985718871160762441584197098132485804322605917894753473571716609927426880991284409622342042782825699802376466549685349075048396820737043306350421603953037330383566039748359163806771979800594169045512438878840472728376106978518161286988508050594776629327710684841630639542958674220511834663548534629289287268901045275857275816240678135830361072236889222132082340075958814502945452224124396014704856236521414456949160393552821878895094765479601161868404651271379626335226078905874466910042160741030249873359116822019395780724260360888026383082511063039474372894918036216593299511438052130988549140766335029031001400196982059845346800856679320228463673700298651472803681810035381427863133364071328944449451246620210323450989051200915836118657028035543935766330405507856225796421262919180354260004315271560137337134319574433597206343300304737665973152601958657949496606663423181739546965939351646513096072158577342527247474149445698410014192886851717423217590045104897093627325859571563760294873967541416955326150590449269961059719843659278714205166832149211276455105896180511792680818326246991572466112563997986773090246573634056939047460031998423750215393657846762069583165254217414589110267614940261471537708786998680461010731522537109139453475252739458800331044914131827501849628845083130646171514223714757844694360302272786064861437567901101752124161194082387667025935205201858957618908719436545705744047097276393160172153792118736405674924313328036947136652420965357120679007626930935083985162850015436553696214759589940797912392194810071765185456006950387045793670258729163874950593858746794700867365352962492745024675620084042898454902842888415838707471284311436363592673513163179905391808063150512721329693633575416649502945292651604864840966414985332743887098984445490487426810303495346536593318404232550780765958339803285540694518912611256509392685026090045322374123461318755753622300237106135403833926568094995701853345914736868909318583439748895784824356034715335305126814313921178437048426870548004398413407663404614407792811634180205083778105050357652340608536668576246896103103640955503774731913860680998210379398662645012519908271448985465665317945036217931542121741728313486015055181968456044726970605208326046600652869011127788483166947939174975946303078993456120042694965534332699144652469911171138006562757394531637382980490375717344256182513275217279927032263301743390140467407387039734206801291170357292756593543726916426312590826648698960795178124353027992788845285618109821186692862778864945210066343881358356879624840018175957868294469840795447632888103300558966133002745823638207679890908118600178009339403761118122451827339148718024638425371743257708664152363868691600697947293593109777651938193319448650904612718523782779793778061018009060704199886757182029111450035713481939025538080782628466101695400988058505384871786690763773863445282869685840764310415819756903374144543729160810108266671043258750657640982384859351792224805342819034516323437946890867686657682315500080297537771159174532064835889868455050313377016461266864625360379581823805706961248409442026534762705073163977557799971413085203567077395385021880291199117659777144548021248237336330395746584261719613791658197436427659949503482607203163124503640546204850040422881030823365503509367429549785723911594456743454864381618854787678938721351952117640012001743703803916863973721673816052016487877771259660815419677136586467504810828244404035752704395774800837457091121066354830604203663914017119427714305475098334564624923992258217029488484652317165254958132079182722893740190596781033218909990267857551130510998625751923901837094465414244730584399780598789603616863026200611960375210958922582173874492285286265099570860560725957658258133985637337381962667322947270904106462892307448585089629642618821360727270723505698083010748668016260734393543665531976325779637261137004598899431887800815729143982323703421997911099916176685509946061154228090125101536518636377832751635847855018680726395121409887364074214134336331040152243736163164523279830936259209348332572071166324474002736284886039268034188036619528571893057566943142566250116933069568684913824720477737116389090917864534528100473939116515782678944183913477647872297639824881106671096944736503472521681172595888931423961337520113340624247880388580217140034723849905939813216961210903491688171764530444425774812637121932}
30272  641469916757377493507352478536404705206644213660217343857060798062185948997013794181707: {90807,393367,574807,665698,937471,1028602,1694504,1753978,1842871,1906317,2269425,2420720,2723310,2840962,2904864,3107407,3146312,3267972,3539601,3564898,4047202,4188487,4408762,4907767,4991745,5011042,5324528,5372218,5446471,5990094,6094138,6575098,7411985,7896418,8256442,8486887,8575948,8894382,9095938,9377167,9455482,10054402,10396712,10413562,10433145,10588550,10772578,10892218,11128688,11696301,11968258,12213967,12519774,12567271,12684898,12706260,12908908,13096687,13400962,13553344,14473978,15126500,15247512,15426682,15791788,16853818,16965201,17153451,17832271,17950924,18151800,18587145,18634498,18703471,19051447,19078184,19361920,19572871,19826288,19920127,20110265,20420775,20440471,20884858,21121402,21462957,21543724,21782160,22304574,23234304,23247418,23411144,23695948,23719162,24017745,24132318,24408247,24504930,25015138,25190753,25553645,25618928,25838842,25950487,26138592,26337537,27635745,27836002,28707724,28728950,28821294,29405916,29478128,29865271,30271241,30296698,30347985,30621224,30664374,30711271,30851308,31049167,31892647,32371184,32516962,33162894,34077271,34448877,34474740,34847842,35248567,35545858,35662138,35986790,36010882,36249727,36417582,36773056,37421517,37575345,37816904,37984378,39027298,39138785,39254312,40080368,40415842,41216647,41369688,41455738,41530348,42038167,42544017,42694087,43184148,43244630,43301242,43646818,43877122,44161101,44328847,44491927,44549425,44699817,45090414,45372538,46118767,46406242,46491724,46540899,46598745,46857261,46966542,46979962,47738407,47906668,47963901,48384247,48545527,48698722,49189927,49705328,50154367,50528098,51228254,51409700,51438988,51783418,51893556,51897442,52125442,52872871,53264482,53350447,53459310,53554924,54970042,55912550,55918494,56360047,56672002,57023264,57075724,57410985,57578242,57933607,58874287,59211345,59613538,60589324,60742018,60747871,60786561,60899345,61238384,61305658,61691640,61836007,61981498,62094082,62301271,62429601,62431738,63158768,63171201,63668578,63971481,64005562,64151172,64342402,64617871,65127802,65464162,65804416,66153271,66455624,66612487,67095060,67881512,68205945,68746927,68893182,69377722,69403095,69483297,69575933,69960271,70414087,70728141,71053614,71086924,71568064,71827642,72142301,72494458,72753008,73079214,73183220,73579304,74029968,74170687,74762577,74823778,75214471,75392985,76156525,76222353,76366701,76483258,76699471,77054068,77127785,78086145,78690298,79758497,80419184,80514072,80781058,80913837,81840271,81847134,82276807,82317922,82646842,82776717,82905868,83283714,83291888,83292871,83450465,83528264,83742202,84439745,85273018,85745767,85889407,86176471,86255458,86909698,87055545,87321847,87819864,88041745,88606353,89315167,89457007,89520898,89612301,89955202,90258833,90471582,90578331,90823042,91153471,91225137,91387830,91798138,92122882,92138287,92231098,92447482,92452157,92553342,92859248,92880058,93204322,93703374,93969297,94223577,94654471,95071567,95146882,95349271,95362402,96545361,96733471,96976762,97084258,97223457,97480352,97989265,98265658,98372962,98763724,98797347,98909242,99070087,99394190,99980602,...,284767299689271518212155094614103067275006105703130451630855257178209585861967339150370016193418890615406688876644111943173068407059022600842936771231075386440168223691501759491887814876752078688283017144223836694469803155593438252345125964923524352698436004770962626752210422825462296402419246071881525493005648046386205627363568761756080796441544384770151078851476051410510790843178862490357279521473532764406867130456528070986128187543432463379794478578306741143662376295647198728706483908876842130210357574914891140321486926614433513064174238549703564699824528023612572595231105564959525632405929555995575349059622538745710157969700891253568268658318260709092564160467777241930482762075892164943991566027262445959314438011330767751995322801943933930903351567913785913724361017203745541608355333833198123510113938221754418178336186594022057284354782121685423740590329232818342642148219401742802606976907069439502839118358811700365063241111545374810038675233029093671086390541332039574623766594559211559342377054324889949267157078196482823711149502543546502100295473089768020201285018980342695510550447977209205522715053072141794700046106993416674176869930315485176483576801373754177985542053315903649495608261784338694631894378770531390006472907340206005701479361650395809514950457106498959728902937986924244909995134772609320448909027469769644108237866013790871211224168547615021289330277576134826385067657345640440988789357345640442310951312125432989225885673904941589579765488918071307750248223816914682658844270767689021227489370487358699168845996980159635369860451085408571190047997635625323090486770143104374747881326121883665401422410392207306563180498020691516097283805663709180212879109188200496567371197741252774443267624695969257271335572136767041540453409179097292156351851652628186241791123581500538902807802788436428363079154818558616070645914589740258230688178104608512386469992055420704978631448035681018511440396402625977744275023154830544322139384911196868588292215107647778184010425580568690505388093745812425890788120192051301048029443739117537013430126064347682354264332623758061206926467154545389010269744769858087712094725769081994540450363124974254417938977407297261449622477999115830648476668235731140215455243019804889977606348826171148937509704928311041778368916884764089027539135067983561185191978133630433450355659203105750889852142493552780018872105303363977875159623343677236534052073002957690221470881767655572640305822006597620111495106921611689217451270307625667157575536478510912805002864370344154655461433255662097870791021497315569097993967518779862407173478198497976917554326897313182612592470229022582772952684067090455907812489069900979303516691682724750421908762463919454618490184180064042448301499048716978704866756707009844136091797456074470735563576016384273769912825919890548394952615085210701111080559601310201936755535939134890315590374639468886239973048441192767186529541989183267928427164731780039294168297417815099515822037535319437260027263936802441704761193171449332154950838449199504118735457311519836362177900267014009105641677183677741008723077036957638057614886562996228545803037401046920940389664666477907289979172976356919077785674169690667091527013591056299830135773043667175053570222908538307121173942699152543101482087758077307680036145660795167924304528761146465623729635355061216815593741215162400006564888125986461473577289027688337208014228551774485156920336301529986523473250120446306656738761798097253834802682575470065524691900296938040569372735708560441872614163039802144057609745966336699957119627805350616093077532820436798676489665716822031872356004495593619876392579420687487296154641489924255223910804744686755460819307275060634321546235048255264051144324678585867391685115182296572428282181518408082027928176460018002615555705875295960582510724078024731816656889491223129515704879701257216242366606053629056593662201256185636681599532245906305495871025679141571458212647501846937385988387325544232726978475747882437198118774084340610285895171549828364985401786326695766497938627885852755641698121367095876599670898184405425294539300917940562816438383873260811738427929397649356290841088936487387200978456006072944000984420906356159694338461172877634444463928232041090906085258547124516123002024391101590315498297964488669455891705506898349147831701223593715973485555132996866649874265028264919091731342135187652304777954566749127453771782528021089592682114831046111321201504496560228365604244746784919746404388814022498858106749486711004104427329058902051282054929292857839586350414713849375175399604353027370737080716605674583636376796801792150710908674773674018416275870216471808446459737321660006645417104755208782521758893833397135942006280170010936371820582870325710052085774858909719825441816355237532257646795666638662218955682898}
30273  643454975977193778281475977544369780639190549041760110545672848286756702581909289722977: {60542,121076,998547,1482691,1542903,2118130,2541756,2630967,2753023,3025900,3631080,3873152,3932890,4084965,4261443,4357296,4658962,4719468,4901958,5347347,6070803,6613143,6655660,7469527,7516563,7986792,8058327,8985141,9097123,9141207,9737602,9862647,10719935,11844627,11859176,12384663,12640738,12863922,12995890,13341573,13366522,13643907,13910860,14183223,14537263,15081603,15595068,15620343,15882825,16136135,16158867,16338327,16693032,16693411,16941680,17348002,17801347,17952387,18779661,18908125,19027347,19059390,19363362,19601747,19739735,20101443,20330016,20484751,21710967,22416562,22438655,22620268,22689750,22871268,23140023,23687682,23847730,24202400,24601522,24682387,24782860,25280727,25793362,26793571,26926386,26929655,27212903,27227700,27951747,28324786,28617276,28647463,29032771,29042880,29263930,29619935,29739432,30287591,30979072,30995887,31327287,31682103,31855042,32023660,32176424,32315586,32649443,32673240,33089791,33305746,33456861,33508871,34347523,34851456,34871127,35070322,35116716,35543922,35578743,35884655,35911367,36198477,36757395,36810143,36847660,36917842,37522707,38276530,38428051,38428392,38564135,38758263,39207888,40463980,40885832,41158511,41754003,41861047,43061586,43093425,43231941,43492162,44108874,44168482,44217192,45445047,45931836,45966320,45996561,46276962,47068738,47271130,47892442,48480322,48556776,48775443,49067890,49355207,49744341,49749583,49895356,50100460,51419122,51712110,51912935,52271763,52454578,53318787,53493207,53583586,53980185,54016323,54319378,54626373,55159584,55263922,55725202,55815763,56725356,56976567,57072271,57259367,57578864,58114655,58148671,58540947,58881468,59103967,59396323,59599756,59883335,60120552,60623763,61440223,61739567,62054532,62131660,62183607,62295522,62476348,62622056,63179171,63658882,63775543,63951868,64262125,64298735,64381891,64776222,64866945,64951863,65470227,65815683,66943655,67635621,68058807,68272447,68765986,69191408,69285682,69609363,69737586,69811066,70147151,70366786,70449813,70469943,71279080,71344655,71860002,72597527,72880402,73048083,73087231,74557992,74788951,74909242,75736655,75792147,76066042,76547980,76842381,76964327,77114550,77158482,77675127,77840334,77846163,78188163,78326063,78948460,79133287,79896723,80188965,80332386,80505202,81048748,81251842,81428338,82255520,82455063,82679386,82860371,83069530,83239468,83868825,83877741,84191602,84228268,84704722,84851890,85008003,85295308,85422671,85534896,85613586,86365507,86367363,87798671,88858655,89420307,89460080,89779351,90423823,90748547,90883986,90941260,91113027,91479025,91857576,91958487,91974130,92537460,92644396,92972247,93017842,93141123,93191827,93515111,93647607,94304188,94313447,94738152,94886063,95153026,95502867,96008343,96226758,96233827,96317585,96513603,96591523,97438952,97691703,98196243,98706624,99194482,99683436,...,427150949533907277318232641921154600912509158554695677446282885767314378792951008725555024290128335923110033314966167914759602610588533901264405156846613079660252335537252639237831722315128118032424525716335755041704704733390157378517688947385286529047654007156443940128315634238193444603628869107822288239508472069579308441045353142634121194662316577155226618277214077115766186264768293735535919282210299146610300695684792106479192281315148695069691717867460111715493564443470798093059725863315263195315536362372336710482230389921650269596261357824555347049736792035418858892846658347439288448608894333993363023589433808118565236954551336880352402987477391063638846240701665862895724143113838247415987349040893668938971657016996151627992984202915900896355027351870678870586541525805618312412533000749797185265170907332631627267504279891033085926532173182528135610885493849227513963222329102614203910465360604159254258677538217550547594861667318062215058012849543640506629585811998059361935649891838817339013565581487334923900735617294724235566724253815319753150443209634652030301927528470514043265825671965813808284072579608212692050069160490125011265304895473227764725365202060631266978313079973855474243412392676508041947841568155797085009709361010309008552219042475593714272425685659748439593354406980386367364992702158913980673363541204654466162356799020686306816836252821422531933995416364202239577601486018460661483184036018460663466426968188149483838828510857412384369648233377106961625372335725372023988266406151533531841234055731038048753268995470239453054790676628112856785071996453437984635730155214656562121821989182825498102133615588310959844770747031037274145925708495563770319318663782300744851056796611879161664901437043953885907003358205150562310680113768645938234527777478942279362686685372250808354211704182654642544618732227837924105968871884610387346032267156912768579704988083131057467947172053521527767160594603938966616412534732245816483209077366795302882438322661471667276015638370853035758082140618718638836182180288076951572044165608676305520145189096521523531396498935637091810389700731818083515404617154787131568142088653622991810675544687461381626908466110945892174433716998673745972715002353596710323182864529707334966409523239256723406264557392466562667553375327146133541308702601975341777787967200445650175533488804658626334778213740329170028308157955045966812739435015515854801078109504436535332206322651483358960458733009896430167242660382417533826176905461438500736363304717766369207504296555516231983192149883493146806186532245973353646990951278169793610760217297746965376331490345969773918888705343533874159429026100635683861718733604851468955275037524087125632863143695879181927735276270096063672452248573075468057300135060514766204137696184111706103345364024576410654869238879835822592428922627816051666620839401965302905133303908702335473385561959203329359959572661789150779794312983774901892640747097670058941252446126722649273733056302979155890040895905203662557141789757173998232426257673799256178103185967279754543266850400521013658462515775516611513084615555436457086422329844494342818704556101570381410584496999716860934968759464535378616678511254536000637290520386584449745203659565500762580355334362807460681760914048728814652223131637115961520054218491192751886456793141719698435594453032591825223390611822743600009847332188979692210365933541532505812021342827661727735380504452294979785209875180669459985108142697145880752204023863205098287037850445407060854059103562840662808921244559703216086414618949505049935679441708025924139616299230655198014734498575233047808534006743390429814588869131031230944231962234886382835866207117030133191228960912590951482319352572382896076716487017878801087527672773444858642423272277612123041892264690027003923333558812943940873766086117037097724985334236834694273557319551885824363549909080443584890493301884278455022399298368859458243806538518712357187318971252770406078982580988316349090467713621823655797178161126510915428842757324742547478102679490043649746907941828779133462547182050643814899506347276608137941808951376910844224657575809891217607641894096474034436261633404731080801467684009109416001476631359534239541507691759316451666695892348061636359127887820686774184503036586652385473247446946733004183837558260347523721747551835390573960228332699495299974811397542397378637597013202781478457166931850123691180657673792031634389023172246569166981802256744840342548406367120177379619606583221033748287160124230066506156640993588353076923082393939286759379525622070774062763099406529541056105621074908511875454565195202688226066363012160511027624413805324707712669689605982490009968125657132813173782638340750095703913009420255016404557730874305488565078128662288364579738162724532856298386470193499957993328433524347}
30274  645446142406292767603068903627087698126317660837739677317435672988144521219884191551868: {90813,151345,181614,786734,1149614,1331396,1874942,2057204,2144413,3177195,3389008,3408193,3507956,3685742,3782375,3812634,4128769,4538850,4841440,5446620,5681924,5809728,5899335,6214814,6292624,6535944,6820669,6988443,7079202,7129796,7352937,7892893,8094404,8319575,8376974,8817524,9815534,9983490,10022084,10376779,10384669,10562113,10649056,10744436,10892942,11979073,11980188,12188276,13150196,14606403,14823970,15501313,15792836,16512884,16552369,16973774,17151896,17388575,17788764,18191876,18754334,18910964,18961107,18994753,19295883,19493835,20049783,20108804,20730673,20793424,20827124,20866290,21177100,21545156,21784436,21941533,22257376,22804273,23392602,23936516,24180913,24427934,25039548,25134542,25369796,25381693,25412520,25817816,26022003,26066269,26193374,26749693,26801924,27106688,27602353,27772669,28154371,28275335,28453213,28589085,28623169,28947956,29045043,30149533,30253000,30495024,30853364,30978575,31583576,33520573,33624843,33707636,33930402,34034625,34306902,35531523,35664542,35771595,35775103,35901848,36303600,36902283,37174290,37268996,37406942,38102894,38156368,38690043,38723840,39145742,39652576,39681073,39840254,40029575,40220530,40250771,40389579,40841550,40880942,41769716,42242804,42487179,42642433,42925914,43087448,43564320,43787773,43895895,44609148,45092413,46059575,46230193,46468608,46494836,46822288,47391896,47438324,47687869,47782563,48035490,48264636,48473379,48816494,49009860,49461553,49958619,50030276,50381506,50579975,51107290,51237856,51546493,51677684,51900974,52277184,52605483,52675074,53142013,53315883,54794299,55271490,55376763,55672004,56469169,57414795,57415448,57457900,57642588,58199293,58811832,58956256,59452093,59730542,60542482,60593396,60695970,61242448,61328748,61422542,61702616,62098334,62369195,62625575,62873533,63646273,63785294,64592379,64742368,65033924,65186353,65238243,65800369,66163311,66252723,66325788,66413233,67482973,68092669,68154542,68897754,68949480,69415443,69695684,70217533,70497134,70603107,70906695,71091716,71324276,71838663,71973580,72021764,72478513,72499454,72720483,72835164,73378369,73528093,73546112,73601835,74275633,74499695,74843034,75150690,75633808,75968756,77128683,77568165,77664575,77838769,77986333,78054596,78095435,78277570,78508624,78681867,79939835,80160736,80375379,80831684,81479067,82433294,82739376,82895883,82911476,83060696,83587803,83829853,84076334,85088034,85259083,85388174,85847869,86368296,86489260,86602484,87293636,87754244,87994369,88322202,88657694,88983854,89098850,89399634,89558173,90124669,90180828,90690013,90745076,91676593,92237534,92799793,92812484,92983448,93081798,93197490,93443283,93499453,93714522,93933084,93959924,95032369,95476814,95488323,95587633,95684975,95813336,95864833,95927802,96768494,97091054,97164333,97397444,97797169,98346673,98379854,98685575,99410656,99715393,...,569534599378543036424310189228206134550012211406260903261710514356419171723934678300740032386837781230813377753288223886346136814118045201685873542462150772880336447383003518983775629753504157376566034288447673388939606311186876504690251929847048705396872009541925253504420845650924592804838492143763050986011296092772411254727137523512161592883088769540302157702952102821021581686357724980714559042947065528813734260913056141972256375086864926759588957156613482287324752591294397457412967817753684260420715149829782280642973853228867026128348477099407129399649056047225145190462211129919051264811859111991150698119245077491420315939401782507136537316636521418185128320935554483860965524151784329887983132054524891918628876022661535503990645603887867861806703135827571827448722034407491083216710667666396247020227876443508836356672373188044114568709564243370847481180658465636685284296438803485605213953814138879005678236717623400730126482223090749620077350466058187342172781082664079149247533189118423118684754108649779898534314156392965647422299005087093004200590946179536040402570037960685391021100895954418411045430106144283589400092213986833348353739860630970352967153602747508355971084106631807298991216523568677389263788757541062780012945814680412011402958723300791619029900914212997919457805875973848489819990269545218640897818054939539288216475732027581742422448337095230042578660555152269652770135314691280881977578714691280884621902624250865978451771347809883179159530977836142615500496447633829365317688541535378042454978740974717398337691993960319270739720902170817142380095995271250646180973540286208749495762652243767330802844820784414613126360996041383032194567611327418360425758218376400993134742395482505548886535249391938514542671144273534083080906818358194584312703703305256372483582247163001077805615605576872856726158309637117232141291829179480516461376356209217024772939984110841409957262896071362037022880792805251955488550046309661088644278769822393737176584430215295556368020851161137381010776187491624851781576240384102602096058887478235074026860252128695364708528665247516122413852934309090778020539489539716175424189451538163989080900726249948508835877954814594522899244955998231661296953336471462280430910486039609779955212697652342297875019409856622083556737833769528178055078270135967122370383956267260866900711318406211501779704284987105560037744210606727955750319246687354473068104146005915380442941763535311145280611644013195240222990213843223378434902540615251334315151072957021825610005728740688309310922866511324195741582042994631138195987935037559724814346956396995953835108653794626365225184940458045165545905368134180911815624978139801958607033383365449500843817524927838909236980368360128084896602998097433957409733513414019688272183594912148941471127152032768547539825651839781096789905230170421402222161119202620403873511071878269780631180749278937772479946096882385534373059083978366535856854329463560078588336594835630199031644075070638874520054527873604883409522386342898664309901676898399008237470914623039672724355800534028018211283354367355482017446154073915276115229773125992457091606074802093841880779329332955814579958345952713838155571348339381334183054027182112599660271546087334350107140445817076614242347885398305086202964175516154615360072291321590335848609057522292931247459270710122433631187482430324800013129776251972922947154578055376674416028457103548970313840672603059973046946500240892613313477523596194507669605365150940131049383800593876081138745471417120883745228326079604288115219491932673399914239255610701232186155065640873597352979331433644063744712008991187239752785158841374974592309282979848510447821609489373510921638614550121268643092470096510528102288649357171734783370230364593144856564363036816164055856352920036005231111411750591921165021448156049463633313778982446259031409759402514432484733212107258113187324402512371273363199064491812610991742051358283142916425295003693874771976774651088465453956951495764874396237548168681220571790343099656729970803572653391532995877255771705511283396242734191753199341796368810850589078601835881125632876767746521623476855858795298712581682177872974774401956912012145888001968841812712319388676922345755268888927856464082181812170517094249032246004048782203180630996595928977338911783411013796698295663402447187431946971110265993733299748530056529838183462684270375304609555909133498254907543565056042179185364229662092222642403008993120456731208489493569839492808777628044997716213498973422008208854658117804102564109858585715679172700829427698750350799208706054741474161433211349167272753593603584301421817349547348036832551740432943616892919474643320013290834209510417565043517787666794271884012560340021872743641165740651420104171549717819439650883632710475064515293591333277324437911365796}
30275  647443434724906527675741730138360011928461802663775773368713892503223342307295688104162: {121084,242152,272421,1180101,1664245,1724421,1997094,2571505,2812413,2965382,3085806,3660613,4236260,4384945,5083512,5261934,5506046,5528613,5718951,6051800,6808275,7102405,7262160,7650973,7746304,7865780,8169930,8522886,8714592,8739649,8912245,9317924,9322221,9438936,9803916,10118005,10618803,10694694,11021905,12141606,12527605,12565461,13226286,13311320,13430545,13630573,14723301,14939054,14975235,15007909,15033126,15235345,15973584,16116654,16339413,16437745,17613013,17970282,18194246,18282414,19475204,19725294,19741045,20158741,20266213,20641105,21439870,22235955,22255189,22590589,22739845,23165701,23638705,23689254,23718352,24138589,24769326,25136005,25281476,25460661,25727844,25991780,26033905,26471375,26683146,26733044,26931445,27230545,27287814,27555253,27635629,27821720,28131501,28366446,28488973,29074526,29920645,30163206,30414421,31190136,31240686,31299435,31314289,31414117,31712245,31765650,32272270,32317734,32676654,33386064,33386822,33502405,33850837,33883360,34172413,34696004,35088903,35602694,35904774,36184945,36435709,36641901,37559322,37663141,37701517,37701813,37816250,38054694,38118780,38388013,38566705,38726724,39203494,39290061,39479470,39601393,40202886,40660032,40969502,41467909,42101389,42134545,43421653,43421934,43997029,44833124,44877310,45240536,45379500,45645697,45742536,45808849,46280046,46586245,47375364,47695460,48404800,49203044,49285573,49364774,49565720,49735489,50017693,50238517,50561454,50895603,51460353,51586724,51649957,52212145,52803505,53496813,53587142,53852772,53859310,53989789,54425806,54455400,55288189,55761435,55903494,56110413,56649572,57154341,57234552,57263173,57294926,57592621,58065542,58085760,58118545,58170349,58328881,58527860,58718613,59239870,59297905,59478864,59760381,60330795,60575182,61262325,61321413,61958144,61991774,62537845,62654574,63364206,63710084,63840733,64047320,64352848,64388871,64597105,64631172,65298886,65346480,65583313,66179582,66611492,66669829,66913722,67017742,67670161,68695046,69590005,69702912,69742254,70140644,70233432,71087844,71157486,71171197,71769310,71822375,71822734,72053235,72396954,72678109,73224741,73514790,73620286,73695320,73835684,74666293,75045414,75572259,75741745,76266097,76553060,76660935,76856102,76856784,77128270,77516526,77604253,77851461,78331261,78399757,78415776,79012611,80927960,81292405,81360517,81771664,82317022,82865893,82907235,83508006,83658637,83722094,83836669,84744721,85428349,86123172,86186850,86463882,86984324,87119605,88217748,88336964,88434384,88864645,89155345,89595813,89966975,90018229,90027205,90271873,90813723,90890094,90957841,91043955,91863672,91932640,91993122,92081533,92133813,92553924,92677453,93147501,93521317,93721117,94137476,94542260,94960945,94976989,95263057,95472397,95677941,95784884,96271261,96960644,97113552,97510513,97550886,97568245,97925893,98135780,98710414,98745841,99488682,99499166,99790712,99882517,99964429,...,854301899067814554636465283842309201825018317109391354892565771534628757585902017451110048580256671846220066629932335829519205221177067802528810313693226159320504671074505278475663444630256236064849051432671510083409409466780314757035377894770573058095308014312887880256631268476386889207257738215644576479016944139158616882090706285268242389324633154310453236554428154231532372529536587471071838564420598293220601391369584212958384562630297390139383435734920223430987128886941596186119451726630526390631072724744673420964460779843300539192522715649110694099473584070837717785693316694878576897217788667986726047178867616237130473909102673760704805974954782127277692481403331725791448286227676494831974698081787337877943314033992303255985968405831801792710054703741357741173083051611236624825066001499594370530341814665263254535008559782066171853064346365056271221770987698455027926444658205228407820930721208318508517355076435101095189723334636124430116025699087281013259171623996118723871299783677634678027131162974669847801471234589448471133448507630639506300886419269304060603855056941028086531651343931627616568145159216425384100138320980250022530609790946455529450730404121262533956626159947710948486824785353016083895683136311594170019418722020618017104438084951187428544851371319496879186708813960772734729985404317827961346727082409308932324713598041372613633672505642845063867990832728404479155202972036921322966368072036921326932853936376298967677657021714824768739296466754213923250744671450744047976532812303067063682468111462076097506537990940478906109581353256225713570143992906875969271460310429313124243643978365650996204267231176621919689541494062074548291851416991127540638637327564601489702113593223758323329802874087907771814006716410301124621360227537291876469055554957884558725373370744501616708423408365309285089237464455675848211937743769220774692064534313825537159409976166262114935894344107043055534321189207877933232825069464491632966418154733590605764876645322943334552031276741706071516164281237437277672364360576153903144088331217352611040290378193043047062792997871274183620779401463636167030809234309574263136284177307245983621351089374922763253816932221891784348867433997347491945430004707193420646365729059414669932819046478513446812529114784933125335106750654292267082617405203950683555575934400891300351066977609317252669556427480658340056616315910091933625478870031031709602156219008873070664412645302966717920917466019792860334485320764835067652353810922877001472726609435532738415008593111032463966384299766986293612373064491946707293981902556339587221520434595493930752662980691939547837777410687067748318858052201271367723437467209702937910550075048174251265726287391758363855470552540192127344904497146150936114600270121029532408275392368223412206690728049152821309738477759671645184857845255632103333241678803930605810266607817404670946771123918406658719919145323578301559588625967549803785281494195340117882504892253445298547466112605958311780081791810407325114283579514347996464852515347598512356206371934559509086533700801042027316925031551033223026169231110872914172844659688988685637409112203140762821168993999433721869937518929070757233357022509072001274581040773168899490407319131001525160710668725614921363521828097457629304446263274231923040108436982385503772913586283439396871188906065183650446781223645487200019694664377959384420731867083065011624042685655323455470761008904589959570419750361338919970216285394291761504408047726410196574075700890814121708118207125681325617842489119406432172829237899010099871358883416051848279232598461310396029468997150466095617068013486780859629177738262062461888463924469772765671732414234060266382457921825181902964638705144765792153432974035757602175055345546889717284846544555224246083784529380054007846667117625887881747532172234074195449970668473669388547114639103771648727099818160887169780986603768556910044798596737718916487613077037424714374637942505540812157965161976632698180935427243647311594356322253021830857685514649485094956205358980087299493815883657558266925094364101287629799012694553216275883617902753821688449315151619782435215283788192948068872523266809462161602935368018218832002953262719068479083015383518632903333391784696123272718255775641373548369006073173304770946494893893466008367675116520695047443495103670781147920456665398990599949622795084794757275194026405562956914333863700247382361315347584063268778046344493138333963604513489680685096812734240354759239213166442067496574320248460133012313281987176706153846164787878573518759051244141548125526198813059082112211242149817023750909130390405376452132726024321022055248827610649415425339379211964980019936251314265626347565276681500191407826018840510032809115461748610977130156257324576729159476325449065712596772940386999915986656867048694}
30276  649446871670072560954842226661327772980233397716688055928881947886134290415457216965372: {151355,181626,211883,302690,363228,514403,695819,1573468,1601819,2204819,2299228,2385563,2662792,2686643,2995641,3228083,3749884,4114408,4129043,4189043,4288826,4448073,4628709,4728683,4908419,5028203,5207819,5295325,5387363,6354390,6778016,6816386,6880763,7015912,7371484,7564750,7625268,7892901,7893419,8257538,8259069,8785019,9077700,9497003,9682880,9832225,10444523,10740203,10893240,11363848,11619456,11647405,11798670,11861963,12215603,12254895,12429628,12585248,12784329,13071888,13098443,13216019,13627283,13641338,13976886,14158404,14259592,14507243,14705874,15560819,15785786,16042041,16188808,16639150,16753948,17602019,17635048,18009083,18183419,18212409,19054019,19169963,19631068,19839429,19966980,20038523,20044168,20753558,20769338,20963003,21124226,21298112,21488872,21785884,21827843,22408581,22549689,23958146,23960376,24174981,24239819,24344005,24376552,24697643,25097819,25782923,26068043,26300392,26955423,27263363,27291369,27423621,27490643,29212806,29587941,29647940,30208019,31002626,31222283,31585672,31601845,32009363,32159805,32177819,32346203,32489725,32738819,32906963,33025768,33104738,33416305,33578819,33947548,34303792,34777150,35253419,35364803,35533881,35577528,36254723,36383752,36532403,37153989,37508668,37585763,37821928,37922214,37989506,38415323,38591766,38987670,39518603,39585469,40024719,40099566,40217608,40673603,40931721,41332019,41461346,41496443,41586848,41654248,41732580,42044003,42354200,42549669,42700019,42809243,43090312,43370005,43568872,43611789,43790819,43883066,44514752,44606819,45244809,45312563,45608546,46071083,46233419,46395683,46611923,46785204,46861029,47421683,47569093,47648475,47745083,47873032,48361826,48408405,48476601,48498563,48855868,49014981,50079096,50080233,50161403,50269084,50642723,50739592,50763386,50803019,50825040,51635632,52044006,52132538,52386748,52508363,53039603,53198819,53404041,53499386,53603848,53623043,53857161,54213376,55204706,55545338,55999763,56041405,56210243,56308742,56338983,56368019,56473163,56525723,56550670,56724375,56906426,57082041,57178170,57246338,57895912,58090086,58805241,59219205,59508419,59619325,60299066,60304329,60506000,60548819,60990048,61223363,61454253,61503805,61706728,61948283,61957150,63167152,64165019,64483405,64575803,65132901,65191019,65805083,66469019,66724019,67041146,67249686,67315965,67415272,67860804,68069250,68402003,68604803,68613804,68756819,68858123,69420069,69515819,70424243,70525019,70811965,71063046,71329084,71430563,71543190,71550206,71803696,72607200,73159825,73433603,73804566,74047161,74281019,74348580,74537992,74813884,75671723,75842181,76117403,76205788,76312736,76661243,76858763,77380086,77401283,77447680,78291484,78875963,79305152,79362146,79610603,79637605,79680508,80059150,80343443,80380713,80441060,80501542,80779158,80788965,81638709,81683100,81761884,81803723,82385819,82724843,83264365,83539432,83739563,83855241,84485608,84974358,85284866,85851828,85854203,85902083,85942389,86174896,86714819,86858003,87048803,87098313,87128640,87316873,87575546,87675805,87791790,88048403,88859805,89218296,89564819,89706563,90184826,90743819,90862773,91683419,92119150,92294605,92460386,92853419,92937216,92987661,92989672,93644576,93692723,93981861,94111403,94622243,94783792,94807763,94876648,95046309,95085803,95375738,95565126,95641019,95691325,95872019,96070980,96195083,96529272,96946758,97024019,97632988,97948329,98019720,98765483,98923106,99269373,99917238,...,1281452848601721831954697925763463802737527475664087032338848657301943136378853026176665072870385007769330099944898503744278807831765601703793215470539839238980757006611757917713495166945384354097273577149007265125114114200170472135553066842155859587142962021469331820384946902714580333810886607323466864718525416208737925323136059427902363583986949731465679854831642231347298558794304881206607757846630897439830902087054376319437576843945446085209075153602380335146480693330412394279179177589945789585946609087117010131446691169764950808788784073473666041149210376106256576678539975042317865345826683001980089070768301424355695710863654010641057208962432173190916538722104997588687172429341514742247962047122681006816914971050988454883978952608747702689065082055612036611759624577416854937237599002249391555795512721997894881802512839673099257779596519547584406832656481547682541889666987307842611731396081812477762776032614652651642784585001954186645174038548630921519888757435994178085806949675516452017040696744462004771702206851884172706700172761445959259451329628903956090905782585411542129797477015897441424852217738824638076150207481470375033795914686419683294176095606181893800934939239921566422730237178029524125843524704467391255029128083030927025656657127426781142817277056979245318780063220941159102094978106476741942020090623613963398487070397062058920450508758464267595801986249092606718732804458055381984449552108055381990399280904564448451516485532572237153108944700131320884876117007176116071964799218454600595523702167193114146259806986410718359164372029884338570355215989360313953907190465643969686365465967548476494306400846764932879534312241093111822437777125486691310957955991346902234553170389835637484994704311131861657721010074615451686932040341305937814703583332436826838088060056116752425062635112547963927633856196683513772317906615653831162038096801470738305739114964249393172403841516160564583301481783811816899849237604196737449449627232100385908647314967984415001828046915112559107274246421856155916508546540864230854716132496826028916560435567289564570594189496806911275431169102195454250546213851464361394704426265960868975432026634062384144880725398332837676523301150996021237918145007060790130969548593589122004899228569717770170218793672177399688002660125981438400623926107805926025333363901601336950526600466413975879004334641220987510084924473865137900438218305046547564403234328513309605996618967954450076881376199029689290501727981147252601478530716384315502209089914153299107622512889666548695949576449650479440418559596737920060940972853834509380832280651893240896128994471037909321756666116030601622478287078301907051585156200814554406865825112572261376898589431087637545783205828810288191017356745719226404171900405181544298612413088552335118310036092073729231964607716639507467777286767883448154999862518205895908715399911726107006420156685877609988079878717985367452339382938951324705677922241293010176823757338380167947821199168908937467670122687715610987671425369271521994697278773021397768534309557901839263629800551201563040975387547326549834539253846666309371259266989533483028456113668304711144231753490999150582804906278393606135850035533763608001911871561159753349235610978696502287741066003088422382045282742146186443956669394911347884560162655473578255659370379425159095306783359097775475670171835468230800029541996566939076631097800624597517436064028482985183206141513356884939355629625542008379955324428091437642256612071589615294861113551336221182562177310688521988426763733679109648259243856848515149807038325124077772418848897691965594044203495725699143425602020230171289443766607393093692832695886704659148507598621351090399573686882737772854446958057717148688230149461053636403262583018320334575927269816832836369125676794070081011770000676438831822621298258351111293174956002710504082820671958655657473090649727241330754671479905652835365067197895106578374731419615556137071561956913758311218236947742964949047271403140865470967391534483379532746286528271974227642434308038470130949240723825486337400387641546151931444698519041829824413825426854130732532673972727429673652822925682289422103308784900214193242404403052027328248004429894078602718624523075277949355000087677044184909077383663462060322553509109759957156419742340840199012551512674781042571165242655506171721880684998098485899924434192627192135912791039608344435371500795550371073541973021376094903167069516739707500945406770234521027645219101360532138858819749663101244861480372690199518469922980765059230769247181817860278138576866212322188289298219588623168316863224725535626363695585608064678199089036481533082873241415974123138009068817947470029904376971398439521347915022250287111739028260765049213673192622916465695234385986865093739214488173598568895159410580499873979985300573041}
30277  651456472035805543122610455297053115711160788080547101657368538425746960158586583514634: {242168,272439,454035,484304,544842,1966835,2329943,2360202,2874035,3328490,3448842,3600107,3994188,4326179,4687355,5143010,5624826,5930764,6138923,6171612,6433239,7321226,8472520,8769890,9042059,9214355,9531585,9767843,9943367,10167024,10224579,10523868,11012092,11057226,11347125,11437902,12103600,12386307,12477143,13616550,14165207,14204810,14295479,14524320,15301946,15430667,15492608,15537035,15731560,16108859,16339860,17045772,17429184,17479298,17538647,17698005,17824490,18635848,18644442,18802763,18877872,19010267,19607832,20236010,20462007,20815379,20942435,20965329,21237606,21329483,21389388,21548999,22043810,22058811,23012843,23678679,23950979,24283212,24538835,24958725,25055210,25130922,26232503,26301587,26452572,26622640,26861090,26978423,27232355,27261146,27637463,28897547,29446602,29878108,29878679,29950470,30015818,30066252,30470690,31130337,31154007,31686339,31835783,31947168,32190323,32233308,32416403,32565299,32678826,32875490,33094187,34998323,35190407,35226026,35937219,35940564,36388492,36447467,36564828,37059925,37462067,37704023,38122763,38950408,39450588,39482090,40260599,40317482,40385579,40532426,40533083,40722263,41282210,41347907,41888903,42104183,42434435,42879740,43819209,44397143,44471910,44510378,45181178,45479690,46331402,46503939,46518167,46885835,46903367,47277410,47378508,47436704,48043427,48277178,49538652,49657107,49756187,50272010,50562952,50658923,50673899,50921322,51015779,51316499,51455688,51983560,51998243,52067810,52165725,52942750,53366292,53400803,53466088,53862890,53974679,53993387,54461090,54575628,55110506,55212023,55271258,55586723,55643440,56263002,56732892,56883321,56977946,56984259,57887649,58149052,58481505,58641683,58988363,59111819,59196707,59841290,60149349,60326412,60828842,61007927,61069835,62192019,62380272,62481372,62598870,62628578,62828234,62836355,63424490,63531300,64544540,64635468,65057147,65220743,65340587,65353308,65483435,65824599,65885123,66772128,66773644,67004810,67674659,67701674,67766720,68344826,68412819,68782499,69117179,69392008,70177806,71205388,71809548,72369890,72542739,72871418,73097003,73283802,73924907,75118644,75326282,75403034,75403626,75448139,75632500,76109388,76145079,76237560,76776026,77133410,77289803,77453448,78066009,78198807,78406988,78580122,78958940,79202786,79253963,79544279,80249079,80344907,80405772,81320064,81365963,81939004,82807059,82874243,82935818,83017067,83318007,83398787,84202778,84269090,84463113,84826005,85238579,85359639,85767255,85869507,86494523,86843306,86843868,87135129,87552983,87994058,88160603,89161355,89666248,89754620,90435947,90448599,90481072,90759000,91291394,91376483,91485072,91617698,92560092,92935725,93172490,93337079,93517355,94675379,94750728,95257235,95269379,95390920,95478743,96809600,97426007,97864355,97932419,98406088,98571146,98729548,99131440,99470978,99600635,99971063,...,1708603798135629109272930567684618403650036634218782709785131543069257515171804034902220097160513343692440133259864671659038410442354135605057620627386452318641009342149010556951326889260512472129698102865343020166818818933560629514070755789541146116190616028625775760513262536952773778414515476431289152958033888278317233764181412570536484778649266308620906473108856308463064745059073174942143677128841196586441202782739168425916769125260594780278766871469840446861974257773883192372238903453261052781262145449489346841928921559686601078385045431298221388198947168141675435571386633389757153794435577335973452094357735232474260947818205347521409611949909564254555384962806663451582896572455352989663949396163574675755886628067984606511971936811663603585420109407482715482346166103222473249650132002999188741060683629330526509070017119564132343706128692730112542443541975396910055852889316410456815641861442416637017034710152870202190379446669272248860232051398174562026518343247992237447742599567355269356054262325949339695602942469178896942266897015261279012601772838538608121207710113882056173063302687863255233136290318432850768200276641960500045061219581892911058901460808242525067913252319895421896973649570706032167791366272623188340038837444041236034208876169902374857089702742638993758373417627921545469459970808635655922693454164818617864649427196082745227267345011285690127735981665456808958310405944073842645932736144073842653865707872752597935355314043429649537478592933508427846501489342901488095953065624606134127364936222924152195013075981880957812219162706512451427140287985813751938542920620858626248487287956731301992408534462353243839379082988124149096583702833982255081277274655129202979404227186447516646659605748175815543628013432820602249242720455074583752938111109915769117450746741489003233416846816730618570178474928911351696423875487538441549384129068627651074318819952332524229871788688214086111068642378415755866465650138928983265932836309467181211529753290645886669104062553483412143032328562474874555344728721152307806288176662434705222080580756386086094125585995742548367241558802927272334061618468619148526272568354614491967242702178749845526507633864443783568697734867994694983890860009414386841292731458118829339865638092957026893625058229569866250670213501308584534165234810407901367111151868801782600702133955218634505339112854961316680113232631820183867250957740062063419204312438017746141328825290605933435841834932039585720668970641529670135304707621845754002945453218871065476830017186222064927932768599533972587224746128983893414587963805112679174443040869190987861505325961383879095675554821374135496637716104402542735446874934419405875821100150096348502531452574783516727710941105080384254689808994292301872229200540242059064816550784736446824413381456098305642619476955519343290369715690511264206666483357607861211620533215634809341893542247836813317439838290647156603119177251935099607570562988390680235765009784506890597094932225211916623560163583620814650228567159028695992929705030695197024712412743869119018173067401602084054633850063102066446052338462221745828345689319377977371274818224406281525642337987998867443739875037858141514466714045018144002549162081546337798980814638262003050321421337451229842727043656194915258608892526548463846080216873964771007545827172566878793742377812130367300893562447290974400039389328755918768841463734166130023248085371310646910941522017809179919140839500722677839940432570788583523008816095452820393148151401781628243416236414251362651235684978238812864345658475798020199742717766832103696558465196922620792058937994300932191234136026973561719258355476524124923776927848939545531343464828468120532764915843650363805929277410289531584306865948071515204350110691093779434569693089110448492167569058760108015693334235251775763495064344468148390899941336947338777094229278207543297454199636321774339561973207537113820089597193475437832975226154074849428749275885011081624315930323953265396361870854487294623188712644506043661715371029298970189912410717960174598987631767315116533850188728202575259598025389106432551767235805507643376898630303239564870430567576385896137745046533618924323205870736036437664005906525438136958166030767037265806666783569392246545436511551282747096738012146346609541892989787786932016735350233041390094886990207341562295840913330797981199899245590169589514550388052811125913828667727400494764722630695168126537556092688986276667927209026979361370193625468480709518478426332884134993148640496920266024626563974353412307692329575757147037518102488283096251052397626118164224422484299634047501818260780810752904265452048642044110497655221298830850678758423929960039872502628531252695130553363000382815652037681020065618230923497221954260312514649153458318952650898131425193545880773999831973313734097388}
30278  653472254673269576244528266150137014426256912318562540381329011886501096631224119418605: {211897,302710,363252,423766,574921,605380,726456,817263,1028806,1118917,1391638,2024137,2927557,3146936,3203638,3288421,3540303,4189321,4409638,4598456,4771126,4992735,5173263,5325584,5373286,5447557,5991282,6456166,7413455,7499768,7714515,8228816,8258086,8378086,8437239,8577652,8896146,9257418,9457366,9816838,9912457,10056406,10415638,10590650,10774726,10981839,11862757,12708780,13154835,13556032,13632772,13761526,13765115,14031824,14742968,15129500,15250536,15785802,15786838,16306367,16515076,16518138,16585839,17156853,17570038,18010297,18155400,18994006,19365760,19664450,20424825,20444617,20889046,20964421,21307215,21480406,21786480,22174777,22727696,22952919,23238912,23294810,23597340,23723926,24431206,24509790,24859256,25170496,25568658,25784677,26143776,26196886,26218947,26432038,26736735,27254566,27282676,27953772,27966663,28316808,28343737,28519184,29014486,29023417,29411748,29532421,30354015,31121638,31224421,31571572,31730617,31856409,32084082,32377616,33065715,33278300,33507896,34081607,34921477,35204038,35270096,36018166,36366838,36424818,37347635,37582815,37696383,38108038,38339926,39262136,39678858,39933960,40077046,40088336,40291635,40401721,40891719,41507116,41538676,41926006,42248452,42375097,42596224,42866821,42977744,43571768,43655686,44169903,44242583,44501221,44817162,44925705,44990137,45023727,45099378,45485615,45706035,46128421,46452997,46782827,47424997,47916292,47920752,48349962,48479638,48555721,48688010,48753104,49018239,49313235,49395286,49682917,50195638,51287077,51565846,52086457,52136086,52600784,52839039,53043337,53599675,53910846,54526726,54582738,54847242,54981286,56218019,56529721,58425612,59175882,59223135,59295880,60416038,60476223,60718007,60798639,61227721,61923315,62005252,62314597,62444566,63088777,63171344,63203690,63861157,64018726,64319610,64355638,64631737,64692406,64979450,65477638,65813926,66051536,66209476,66320677,66707865,66765567,66832610,67157638,67771767,67895096,68219535,68607584,69497103,69554300,70429321,70506838,70729606,70916115,71067762,71155056,72415767,72509446,72686315,72767504,73064806,73139257,74307978,75017336,75171526,75408015,75643856,75677221,75844428,75979012,76381983,76716217,76830646,76864357,77183532,77975340,78101715,78194377,78457967,79037206,79170938,79414125,79812037,80049438,80199132,80435216,80680675,80794335,81347206,81691635,81858277,81863442,82294921,82664038,82665759,82730917,82906887,82922692,82992886,83173696,83308496,83456137,83465160,83467055,84088006,84394503,84708400,85099338,85400038,85466919,85618486,85908421,86105327,86180624,86339017,86740010,87055237,87137744,87223578,87581638,87766132,89006735,89029504,89213638,89476921,89760457,89761935,90276767,90489618,90625126,91217092,91243263,92142166,92466838,92720197,92791366,93223846,93570408,93722058,93898305,93942867,94242351,94540625,94675717,94814857,94843366,95136735,95138186,95296950,95490166,95746064,96723652,96755257,96816810,96893317,96953202,96997126,97711736,98008735,98029962,98698675,99136751,99229321,...,2562905697203443663909395851526927605475054951328174064677697314603886272757706052353330145740770015538660199889797007488557615663531203407586430941079678477961514013223515835426990333890768708194547154298014530250228228400340944271106133684311719174285924042938663640769893805429160667621773214646933729437050832417475850646272118855804727167973899462931359709663284462694597117588609762413215515693261794879661804174108752638875153687890892170418150307204760670292961386660824788558358355179891579171893218174234020262893382339529901617577568146947332082298420752212513153357079950084635730691653366003960178141536602848711391421727308021282114417924864346381833077444209995177374344858683029484495924094245362013633829942101976909767957905217495405378130164111224073223519249154833709874475198004498783111591025443995789763605025679346198515559193039095168813665312963095365083779333974615685223462792163624955525552065229305303285569170003908373290348077097261843039777514871988356171613899351032904034081393488924009543404413703768345413400345522891918518902659257807912181811565170823084259594954031794882849704435477649276152300414962940750067591829372839366588352191212363787601869878479843132845460474356059048251687049408934782510058256166061854051313314254853562285634554113958490637560126441882318204189956212953483884040181247227926796974140794124117840901017516928535191603972498185213437465608916110763968899104216110763980798561809128896903032971065144474306217889400262641769752234014352232143929598436909201191047404334386228292519613972821436718328744059768677140710431978720627907814380931287939372730931935096952988612801693529865759068624482186223644875554250973382621915911982693804469106340779671274969989408622263723315442020149230903373864080682611875629407166664873653676176120112233504850125270225095927855267712393367027544635813231307662324076193602941476611478229928498786344807683032321129166602963567623633799698475208393474898899254464200771817294629935968830003656093830225118214548492843712311833017093081728461709432264993652057833120871134579129141188378993613822550862338204390908501092427702928722789408852531921737950864053268124768289761450796665675353046602301992042475836290014121580261939097187178244009798457139435540340437587344354799376005320251962876801247852215611852050666727803202673901053200932827951758008669282441975020169848947730275800876436610093095128806468657026619211993237935908900153762752398059378581003455962294505202957061432768631004418179828306598215245025779333097391899152899300958880837119193475840121881945707669018761664561303786481792257988942075818643513332232061203244956574156603814103170312401629108813731650225144522753797178862175275091566411657620576382034713491438452808343800810363088597224826177104670236620072184147458463929215433279014935554573535766896309999725036411791817430799823452214012840313371755219976159757435970734904678765877902649411355844482586020353647514676760335895642398337817874935340245375431221975342850738543043989394557546042795537068619115803678527259601102403126081950775094653099669078507693332618742518533979066966056912227336609422288463506981998301165609812556787212271700071067527216003823743122319506698471221957393004575482132006176844764090565484292372887913338789822695769120325310947156511318740758850318190613566718195550951340343670936461600059083993133878153262195601249195034872128056965970366412283026713769878711259251084016759910648856182875284513224143179230589722227102672442365124354621377043976853527467358219296518487713697030299614076650248155544837697795383931188088406991451398286851204040460342578887533214786187385665391773409318297015197242702180799147373765475545708893916115434297376460298922107272806525166036640669151854539633665672738251353588140162023540001352877663645242596516702222586349912005421008165641343917311314946181299454482661509342959811305670730134395790213156749462839231112274143123913827516622436473895485929898094542806281730941934783068966759065492573056543948455284868616076940261898481447650972674800775283092303862889397038083659648827650853708261465065347945454859347305645851364578844206617569800428386484808806104054656496008859788157205437249046150555898710000175354088369818154767326924120645107018219519914312839484681680398025103025349562085142330485311012343443761369996196971799848868385254384271825582079216688870743001591100742147083946042752189806334139033479415001890813540469042055290438202721064277717639499326202489722960745380399036939845961530118461538494363635720556277153732424644376578596439177246336633726449451071252727391171216129356398178072963066165746482831948246276018137635894940059808753942796879042695830044500574223478056521530098427346385245832931390468771973730187478428976347197137790318821160999747959970601146082}
30279  655494238490950959649285466664428369299188578917839813871401020037420279608067779910507: {454065,484336,544878,635649,756725,908070,968608,1089684,1543209,2087457,2753569,3933670,4023649,4659886,4720404,4805457,5112757,5748070,6562297,6614457,6656980,6897684,7156689,7200214,7988376,8059929,8652358,8986923,9374710,9684249,10286020,10722065,10917001,11249652,11861528,12277846,12343224,12387129,12567129,12866478,12900097,13344219,13886127,14186049,14642452,14725257,15084609,15623457,15885975,16162089,16894657,16945040,17040965,17539780,18084118,18428710,18911875,19063170,19535686,19886734,20334048,20449158,20642289,20643845,21047736,21246769,21751849,22024184,22114452,22694250,22875804,23583857,23678703,23680257,24207200,24772614,24777207,24954286,26355057,27233100,28330414,28409620,28491009,28590958,29048640,29319409,29496675,30293609,30603892,30861334,30985216,31002049,31074070,31333569,31463120,32217718,32220609,32679720,34091544,34103345,34354369,34652017,34858368,34942215,34958596,35077294,35396010,35499497,35585889,35648980,36646809,36764685,36817457,37271696,37288884,37605526,37755744,38020534,38043109,38125297,38352987,39215664,39295329,39464465,39648057,40472020,40881849,40924014,40977329,41166689,41597875,41630758,41869369,41884870,41930658,42475212,42658966,42778776,43097998,43427417,43521729,44087620,44117622,45301681,46025686,46412789,46682457,47357358,47901958,48126123,48566424,49077670,49365041,49759489,49917450,50110420,50261844,50761157,51786437,51883895,51923345,52465006,52603174,52806057,52810565,52905144,53245280,53722180,53956846,54027249,54464710,54522292,54550257,54637227,55274926,57083617,57162057,57509889,57795094,58893204,59245241,59408209,59518287,59756216,59757358,59895365,59900940,60031636,60115569,60132504,60941380,61452469,62260674,62308014,62685937,62889009,63372678,63671566,63788257,63894336,64380646,64466616,64832806,65130598,65163857,65357652,65483529,65640169,65750980,66188374,67225743,67649067,68118517,69996646,70380814,70452052,71874438,71881128,72524943,72710929,72719457,72776984,72894934,73032015,73129656,73883881,74092929,74119850,74924134,75293457,75408046,76245526,76276229,77348769,77506565,77845541,77900816,78204129,78901176,78946241,78964180,80521198,80634964,80771158,80866269,81064852,81066166,81444526,81486469,81790089,81874107,82270863,82471929,82564420,82695814,82761845,83777806,84208366,84841097,84868870,85497769,85759480,86382721,86916889,86942875,87638418,87970897,88491749,88763823,88794286,88943820,89020756,89797249,90362356,90624057,90959380,91676809,92662804,93007878,93036334,93210409,93666849,93771670,93806734,94554820,94757016,94805535,94873408,94904969,94973765,96028089,96086854,96479415,96533457,96554356,97038609,97469175,97640537,98216457,98720889,98758949,99077304,99314214,99512374,...,3844358545805165495864093777290391408212582426992261097016545971905829409136559078529995218611155023307990299834695511232836423495296805111379646411619517716942271019835273753140485500836153062291820731447021795375342342600511416406659200526467578761428886064407995461154840708143741001432659821970400594155576248626213775969408178283707090751960849194397039564494926694041895676382914643619823273539892692319492706261163128958312730531836338255627225460807141005439442079991237182837537532769837368757839827261351030394340073509294852426366352220420998123447631128318769730035619925126953596037480049005940267212304904273067087132590962031923171626887296519572749616166314992766061517288024544226743886141368043020450744913152965364651936857826243108067195246166836109835278873732250564811712797006748174667386538165993684645407538519019297773338789558642753220497969444643047625669000961923527835194188245437433288328097843957954928353755005862559935522115645892764559666272307982534257420849026549356051122090233386014315106620555652518120100518284337877778353988886711868272717347756234626389392431047692324274556653216473914228450622444411125101387744059259049882528286818545681402804817719764699268190711534088572377530574113402173765087384249092781076969971382280343428451831170937735956340189662823477306284934319430225826060271870841890195461211191186176761351526275392802787405958747277820156198413374166145953348656324166145971197842713693345354549456597716711459326834100393962654628351021528348215894397655363801786571106501579342438779420959232155077493116089653015711065647968080941861721571396931909059096397902645429482919202540294798638602936723279335467313331376460073932873867974040706703659511169506912454984112933395584973163030223846355060796121023917813444110749997310480514264180168350257275187905337643891782901568590050541316953719846961493486114290404412214917217344892748179517211524548481693749904445351435450699547712812590212348348881696301157725941944903953245005484140745337677321822739265568467749525639622592692564148397490478086749681306701868693711782568490420733826293507306586362751638641554393084184113278797882606926296079902187152434642176194998513029569903452988063713754435021182370392908645780767366014697685709153310510656381016532199064007980377944315201871778323417778076000091704804010851579801399241927637013003923662962530254773421595413701314654915139642693209702985539928817989856903863350230644128597089067871505183943441757804435592149152946506627269742459897322867538668999646087848729348951438321255678790213760182822918561503528142496841955679722688386983413113727965269998348091804867434861234905721154755468602443663220597475337716784130695768293262912637349617486430864573052070237157679212515701215544632895837239265657005354930108276221187695893823149918522403331860303650344464999587554617687726146199735178321019260470057632829964239636153956102357018148816853974117033766723879030530471272015140503843463597506726812403010368063146832963014276107814565984091836319064193305602928673705517790889401653604689122926162641979649503617761539998928113777800968600449085368341004914133432695260472997451748414718835180818407550106601290824005735614683479260047706832936089506863223198009265267146135848226438559331870008184734043653680487966420734766978111138275477285920350077293326427010515506404692400088625989700817229893293401873792552308192085448955549618424540070654818066888876626025139865973284274312926769836214768845884583340654008663547686531932065565965280291201037328944777731570545545449421114975372233317256546693075896782132610487177097430276806060690513868331299822179281078498087660113977445522795864053271198721060648213318563340874173151446064690448383160909209787749054961003727781809450498509107377030382210243035310002029316495467863894775053333879524868008131512248462015875966972419271949181723992264014439716958506095201593685319735124194258846668411214685870741274933654710843228894847141814209422596412902174603450138598238859584815922682927302924115410392847722171476459012201162924638455794334095557125489473241476280562392197598021918182289020958468777046868266309926354700642579727213209156081984744013289682235808155873569225833848065000263031132554727232150990386180967660527329279871469259227022520597037654538024343127713495727966518515165642054994295457699773302577881576407738373118825033306114502386651113220625919064128284709501208550219122502836220310703563082935657304081596416576459248989303734584441118070598555409768942295177692307741545453580834415730598636966564867894658765869504950589674176606879091086756824194034597267109444599248619724247922369414027206453842410089713130914195318564043745066750861335217084782295147641019577868749397085703157960595281217643464520795706685478231741499621939955901719123}
30280  657522442454831480079366948098288209749681340295093806924664740155124561571576116116681: {332959,423794,605420,726504,817317,847532,1149842,1210760,1362105,1452912,1634526,2057612,2237834,2506351,2783276,4048274,5028871,5746999,5855114,5900505,6293872,6407276,6576842,6989829,7000951,7080606,7537279,8072959,8321225,8378642,8622105,8819276,9196912,9542252,9985470,10346526,10378837,10564231,10651168,10741639,10746572,10800321,10895114,11981479,11982564,12857525,12912332,12978537,13217791,13746559,14062065,14626399,14826910,14999536,15429030,15504439,16457632,16516172,16555711,16730671,16756172,16874478,17155304,17792292,18302071,18303065,18416769,18514836,18914732,19172551,19271161,19299717,19633676,19824914,20112812,20831276,21181300,21549452,21924725,21945991,21963678,23497951,23725514,24357631,25215511,25417560,25900519,26309670,27112064,27126177,27265544,27523052,27530230,27607999,27643065,27778351,27948631,28063648,28594755,28629031,28798951,29303529,29485936,29830101,30259000,30501072,30663319,30673737,31571604,31573676,32612734,33030152,33036276,33171678,33527479,34041375,34313706,35140076,35369671,35512025,36020594,36310800,36537439,37158921,37431429,37701679,37988012,38199559,38254865,38731520,39328900,40679239,40849650,40889234,41778092,41928842,42495621,42614430,42815191,42886437,42960812,43572960,43698245,44349554,44561225,45427351,45455392,45905838,46292001,46402159,46477824,46589620,46611105,46888591,47194680,47447852,48326577,48827839,48862412,49019580,49150039,49471951,49718512,50340992,50590025,50916991,51137316,51569354,52286689,52287552,52393772,52437894,52515751,52615941,52864076,53094015,53153239,53312431,53473470,54509132,54565352,54741919,55109525,55849711,55907544,55933326,56408289,56481151,56633616,56638831,56687474,57030801,57038368,58028972,58046834,58368559,58823496,59064842,59151919,59933479,60708030,61386021,62205737,62243276,62446137,62448842,62638025,62827305,62895987,63143144,63461234,63679861,63712818,63988449,64168164,64276951,64646997,64755232,65200351,65353999,66131430,66176433,66439477,66556600,67015792,67152725,68152865,68163214,68868031,69038529,69842954,70232719,70408076,70535191,70540192,71036037,71440879,71742199,71852937,72036332,72733676,72794551,72849636,73544071,73616505,74441119,74695270,74876175,75039545,75165630,75186679,75392766,75484399,75781831,76176725,76216076,76679852,76968679,78003391,78524272,78697509,78904761,79357716,79867920,80154092,80176672,80583270,80803442,80935269,81697065,81783438,81815719,82188725,82833799,82912389,83014232,83077352,83848351,83852012,83992999,84496904,84750194,85147591,85192448,85733642,85955488,86692641,86727631,87143536,87157039,87311372,88065065,88339806,88485166,89002442,89010319,89634324,89636037,89719879,89851410,89980274,90047454,90198756,90427639,90971230,91133599,91412070,92256842,92905994,92960671,93391011,93462021,93565654,94849994,95053711,95059017,95507349,95609119,95832584,95841504,95886391,96570969,96699924,96959276,97111442,97249209,97376020,97506208,97695897,98036478,98626470,98705225,98780359,98790572,99282561,99365834,99874471,...,5125811394406887327818791703053855210950109902656348129355394629207772545515412104706660291481540031077320399779594014977115231327062406815172861882159356955923028026447031670853980667781537416389094308596029060500456456800681888542212267368623438348571848085877327281539787610858321335243546429293867458874101664834951701292544237711609454335947798925862719419326568925389194235177219524826431031386523589759323608348217505277750307375781784340836300614409521340585922773321649577116716710359783158343786436348468040525786764679059803235155136293894664164596841504425026306714159900169271461383306732007920356283073205697422782843454616042564228835849728692763666154888419990354748689717366058968991848188490724027267659884203953819535915810434990810756260328222448146447038498309667419748950396008997566223182050887991579527210051358692397031118386078190337627330625926190730167558667949231370446925584327249911051104130458610606571138340007816746580696154194523686079555029743976712343227798702065808068162786977848019086808827407536690826800691045783837037805318515615824363623130341646168519189908063589765699408870955298552304600829925881500135183658745678733176704382424727575203739756959686265690920948712118096503374098817869565020116512332123708102626628509707124571269108227916981275120252883764636408379912425906967768080362494455853593948281588248235681802035033857070383207944996370426874931217832221527937798208432221527961597123618257793806065942130288948612435778800525283539504468028704464287859196873818402382094808668772456585039227945642873436657488119537354281420863957441255815628761862575878745461863870193905977225603387059731518137248964372447289751108501946765243831823965387608938212681559342549939978817244527446630884040298461806747728161365223751258814333329747307352352240224467009700250540450191855710535424786734055089271626462615324648152387205882953222956459856997572689615366064642258333205927135247267599396950416786949797798508928401543634589259871937660007312187660450236429096985687424623666034186163456923418864529987304115666241742269158258282376757987227645101724676408781817002184855405857445578817705063843475901728106536249536579522901593331350706093204603984084951672580028243160523878194374356488019596914278871080680875174688709598752010640503925753602495704431223704101333455606405347802106401865655903516017338564883950040339697895460551601752873220186190257612937314053238423986475871817800307525504796118757162006911924589010405914122865537262008836359656613196430490051558666194783798305798601917761674238386951680243763891415338037523329122607572963584515977884151637287026664464122406489913148313207628206340624803258217627463300450289045507594357724350550183132823315241152764069426982876905616687601620726177194449652354209340473240144368294916927858430866558029871109147071533792619999450072823583634861599646904428025680626743510439952319514871941469809357531755805298822711688965172040707295029353520671791284796675635749870680490750862443950685701477086087978789115092085591074137238231607357054519202204806252163901550189306199338157015386665237485037067958133932113824454673218844576927013963996602331219625113574424543400142135054432007647486244639013396942443914786009150964264012353689528181130968584745775826677579645391538240650621894313022637481517700636381227133436391101902680687341872923200118167986267756306524391202498390069744256113931940732824566053427539757422518502168033519821297712365750569026448286358461179444454205344884730248709242754087953707054934716438593036975427394060599228153300496311089675395590767862376176813982902796573702408080920685157775066429572374771330783546818636594030394485404361598294747530951091417787832230868594752920597844214545613050332073281338303709079267331345476502707176280324047080002705755327290485193033404445172699824010842016331282687834622629892362598908965323018685919622611341460268791580426313498925678462224548286247827655033244872947790971859796189085612563461883869566137933518130985146113087896910569737232153880523796962895301945349601550566184607725778794076167319297655301707416522930130695890909718694611291702729157688413235139600856772969617612208109312992017719576314410874498092301111797420000350708176739636309534653848241290214036439039828625678969363360796050206050699124170284660970622024686887522739992393943599697736770508768543651164158433377741486003182201484294167892085504379612668278066958830003781627080938084110580876405442128555435278998652404979445921490760798073879691923060236923076988727271441112554307464849288753157192878354492673267452898902142505454782342432258712796356145926132331492965663896492552036275271789880119617507885593758085391660089001148446956113043060196854692770491665862780937543947460374956857952694394275580637642321999495919941202292164}
30281  659556885588562222663860693842793340606855349754614073588421446638552882321897953403616: {635691,756775,908130,968672,1059415,1089756,1271298,1513450,1724763,1816140,1937216,2179368,2451789,2572015,3086418,3356751,3479095,3661339,4174914,5507138,5657311,6072411,7867340,8009095,8047298,8782671,9319772,9440808,9610914,9646879,9865263,10225514,10620909,11024095,11496140,11824231,11927815,12567963,13124594,13228914,13313960,13433215,13795368,14313378,14400428,14978205,15010891,15519789,15625291,15976752,16119858,16140415,16342671,17304716,17973846,18749420,19368498,19606939,20572040,20645215,20945215,21065431,21444130,21834002,22240365,22259611,22499304,23143545,23643415,23723056,23857351,24248191,24542095,24555692,24686448,24774258,25134258,25141015,25311717,25417543,25732956,25800194,26039095,26476625,26688438,26936815,27220111,27560731,27772254,27871831,28372098,28901383,29284904,29450514,29547199,29737371,30169218,31246914,31320511,31771950,32324178,32658091,32945517,33517759,33789314,33857563,33890080,34081930,34394383,34403815,35079560,35588271,35920879,36163039,36168236,36857420,37823750,38126340,39071372,39464505,39467095,39773468,40668096,40898316,41284578,41287690,41295345,41953951,42095472,42366391,42493538,42585391,43430299,43503698,43925095,44005771,44048368,44228904,45388500,45410431,45751608,45817951,47167714,47357406,47360514,47485015,47744683,48414400,48919101,49161125,49295371,49545228,49554414,49613671,49757517,49908572,50027659,51323311,51470559,52005151,52222615,52512583,52710114,52811911,53237311,53701015,54030891,54466200,55250251,55299211,56660828,56819240,56982018,57181916,57274591,57878959,58097280,58237025,58340503,58638818,58993350,59249179,59309815,59907199,60587218,61078015,61207784,61274475,61333851,61722668,61755943,61970432,62004098,62142679,62148140,62667138,62893263,62926240,63921645,64435436,64441218,65065783,65359440,65492215,65596351,65825419,66080095,66524331,66683083,67106191,67289191,68136415,68183088,68206690,68708738,68858757,69304034,69716736,69766939,69884430,69917192,70017103,70154588,70792020,70998994,71171778,71297960,72536215,72616783,72637453,72692683,73007839,73293618,73529370,73634914,73705291,73934791,74543392,74577768,75180871,75211052,75511488,76041068,76086218,76250594,76705974,77011831,77300071,77354031,77804095,78431328,78590658,78656841,78928930,79296114,79606879,80210205,80944040,81763698,81848028,81954658,82333378,83195750,83214199,83261516,83738738,83769740,83853511,83861316,83899989,84846751,84950424,85031211,85249903,85317932,85445383,85557552,86195996,86854834,87043458,87070251,87821959,88010095,88175240,88235244,88497631,88597263,90045415,90603362,90917095,91062045,92051372,92624431,92695999,92825578,93300103,93364914,93673263,94338463,94714716,95191851,95270095,95569227,95803916,95849815,96252246,96290443,97132848,97691479,98155340,98662951,98730082,98765503,98902543,99197145,99518978,99834900,...,7688717091610330991728187554580782816425164853984522194033091943811658818273118157059990437222310046615980599669391022465672846990593610222759292823239035433884542039670547506280971001672306124583641462894043590750684685201022832813318401052935157522857772128815990922309681416287482002865319643940801188311152497252427551938816356567414181503921698388794079128989853388083791352765829287239646547079785384638985412522326257916625461063672676511254450921614282010878884159982474365675075065539674737515679654522702060788680147018589704852732704440841996246895262256637539460071239850253907192074960098011880534424609808546134174265181924063846343253774593039145499232332629985532123034576049088453487772282736086040901489826305930729303873715652486216134390492333672219670557747464501129623425594013496349334773076331987369290815077038038595546677579117285506440995938889286095251338001923847055670388376490874866576656195687915909856707510011725119871044231291785529119332544615965068514841698053098712102244180466772028630213241111305036240201036568675755556707977773423736545434695512469252778784862095384648549113306432947828456901244888822250202775488118518099765056573637091362805609635439529398536381423068177144755061148226804347530174768498185562153939942764560686856903662341875471912680379325646954612569868638860451652120543741683780390922422382372353522703052550785605574811917494555640312396826748332291906697312648332291942395685427386690709098913195433422918653668200787925309256702043056696431788795310727603573142213003158684877558841918464310154986232179306031422131295936161883723443142793863818118192795805290858965838405080589597277205873446558670934626662752920147865747735948081413407319022339013824909968225866791169946326060447692710121592242047835626888221499994620961028528360336700514550375810675287783565803137180101082633907439693922986972228580808824429834434689785496359034423049096963387499808890702870901399095425625180424696697763392602315451883889807906490010968281490675354643645478531136935499051279245185385128296794980956173499362613403737387423565136980841467652587014613172725503277283108786168368226557595765213852592159804374304869284352389997026059139806905976127427508870042364740785817291561534732029395371418306621021312762033064398128015960755888630403743556646835556152000183409608021703159602798483855274026007847325925060509546843190827402629309830279285386419405971079857635979713807726700461288257194178135743010367886883515608871184298305893013254539484919794645735077337999292175697458697902876642511357580427520365645837123007056284993683911359445376773966826227455930539996696183609734869722469811442309510937204887326441194950675433568261391536586525825274699234972861729146104140474315358425031402431089265791674478531314010709860216552442375391787646299837044806663720607300688929999175109235375452292399470356642038520940115265659928479272307912204714036297633707948234067533447758061060942544030281007686927195013453624806020736126293665926028552215629131968183672638128386611205857347411035581778803307209378245852325283959299007235523079997856227555601937200898170736682009828266865390520945994903496829437670361636815100213202581648011471229366958520095413665872179013726446396018530534292271696452877118663740016369468087307360975932841469533956222276550954571840700154586652854021031012809384800177251979401634459786586803747585104616384170897911099236849080141309636133777753252050279731946568548625853539672429537691769166681308017327095373063864131131930560582402074657889555463141091090898842229950744466634513093386151793564265220974354194860553612121381027736662599644358562156996175320227954891045591728106542397442121296426637126681748346302892129380896766321818419575498109922007455563618900997018214754060764420486070620004058632990935727789550106667759049736016263024496924031751933944838543898363447984528028879433917012190403187370639470248388517693336822429371741482549867309421686457789694283628418845192825804349206900277196477719169631845365854605848230820785695444342952918024402325849276911588668191114250978946482952561124784395196043836364578041916937554093736532619852709401285159454426418312163969488026579364471616311747138451667696130000526062265109454464301980772361935321054658559742938518454045041194075309076048686255426991455933037030331284109988590915399546605155763152815476746237650066612229004773302226441251838128256569419002417100438245005672440621407126165871314608163192833152918497978607469168882236141197110819537884590355384615483090907161668831461197273933129735789317531739009901179348353213758182173513648388069194534218889198497239448495844738828054412907684820179426261828390637128087490133501722670434169564590295282039155737498794171406315921190562435286929041591413370956463482999243879911803438246}
30282  661597586973637904269695808212073720076045693889399711351288901397678642772718510794492: {332981,393497,665918,695957,847588,877337,1210840,1239881,1362195,1453008,1634634,1695064,1783157,1906947,2144981,2270175,2299684,2386037,2421520,2724210,2905824,3048281,3269052,3409097,4115224,4475668,4489817,4629627,4909397,5012702,5208857,5388437,5566552,5747381,5807177,6262371,6344981,6703157,8073497,8096548,8132981,8260707,8786777,9834175,10057742,11493998,11649715,11710228,11801010,11982281,12070947,12218057,12512597,12587744,12814552,12865781,13153684,13395017,13806197,13979658,14001902,14161212,14275637,14370175,14416371,15074558,15338271,15505481,15563957,16089881,16145918,16642450,16757284,17244210,17638552,17780117,18000535,18187097,18361397,18393824,18999881,19084504,19347737,19686891,19843371,19970940,20216117,20693052,20736281,20757674,20967257,21128462,21302336,21470067,21483278,21493144,21600642,21630895,21790228,22177781,23436775,23843657,23962958,23965128,24179787,24416537,24702677,25102937,25274357,25624291,25715050,25824664,25902281,25957074,25959317,26435582,26960769,26984597,27493118,28124130,28460981,29052747,29252798,29649497,29653820,29999072,30157781,30383477,30694615,30721781,30858060,31003481,31008878,31847381,32166195,32184437,32352857,32751003,32913737,32915264,33032344,33111422,33461342,33512344,33529781,33585737,33748956,34310608,34368281,35539157,35584584,36262217,36539957,36604142,36606130,36833538,37029672,37161387,37701387,37759637,37829464,38257481,38345102,38542322,38599434,38700291,39267352,39361481,39649828,39692057,39912281,40032657,40225624,41066357,41505077,41658381,41662552,42362600,42558147,42872777,42981977,43098904,43472981,43799957,43849450,43891982,43927356,44017781,44175771,44616137,44779157,45104981,45210295,45253827,45322037,46071775,46243097,46405397,46459481,46870371,46995902,47451028,47593397,47657925,48486267,48715262,48831257,48839215,49207157,49475417,49689881,49716835,50431022,50683971,50813717,50835120,50973977,51122895,51801038,52619340,53156981,53210057,53369237,53556811,53634377,54224128,54252354,54531088,54745781,54798617,55046104,55060460,55215998,55286130,55556702,55853657,55897262,56127296,56379977,56537717,56642837,56735625,57189510,57258062,57597902,57954137,58215797,58607058,58686281,58971872,59156117,59660202,59989781,60518000,61002144,61177543,61326638,61347474,61926867,61931535,62116697,62385715,63097781,63143208,63147352,63740307,63870281,65225468,65255547,65358677,65409881,66060304,66072552,66343356,66432281,66636377,66891317,67054958,68082750,68416757,68627412,68771657,69524059,69530837,70237781,70280152,70439477,70540277,70691417,70739342,70751571,70826035,71024050,71036109,71040771,71477395,71747381,71797577,72041188,72198857,72621600,73074878,73515871,73748981,74317842,74331621,74446517,74862858,75241781,75403358,75489881,75787337,75976024,76399118,76509730,76974281,77023637,77153335,77463040,77685175,77763017,78205781,78657800,79065171,80544295,80702537,81358478,81699300,81778468,81821717,81870281,82112981,82403957,82839881,83556184,83857684,84991242,85228860,85473027,85630382,85772874,85921624,86447381,86877257,87145920,87163481,87396490,87693235,87877781,87958227,88352981,88490025,88699108,89064281,89122450,89584757,89726537,89773781,90481481,90854702,90880827,90910784,91140377,91187381,91811676,92172617,92547017,92584002,92804318,92827481,92955648,93006147,93014297,93179240,93222210,93713717,93777182,94000707,94013815,94389360,94895704,95051335,95107157,95384981,95414011,95616281,95662517,96355097,96653154,96661827,97655678,97724824,98039160,98147381,98300078,98559257,98943902,99437024,99927497,...,11533075637415496487592281331871174224637747280976783291049637915717488227409677235589985655833465069923970899504086533698509270485890415334138939234858553150826813059505821259421456502508459186875462194341065386126027027801534249219977601579402736284286658193223986383464522124431223004297979465911201782466728745878641327908224534851121272255882547583191118693484780082125687029148743930859469820619678076958478118783489386874938191595509014766881676382421423016318326239973711548512612598309512106273519481784053091183020220527884557279099056661262994370342893384956309190106859775380860788112440147017820801636914712819201261397772886095769514880661889558718248848498944978298184551864073632680231658424104129061352234739458896093955810573478729324201585738500508329505836621196751694435138391020244524002159614497981053936222615557057893320016368675928259661493908333929142877007002885770583505582564736312299864984293531873864785061265017587679806566346937678293678998816923947602772262547079648068153366270700158042945319861666957554360301554853013633335061966660135604818152043268703879168177293143076972823669959649421742685351867333233375304163232177777149647584860455637044208414453159294097804572134602265717132591722340206521295262152747278343230909914146841030285355493512813207869020568988470431918854802958290677478180815612525670586383633573558530284054578826178408362217876241833460468595240122498437860045968972498437913593528141080036063648369793150134377980502301181887963885053064585044647683192966091405359713319504738027316338262877696465232479348268959047133196943904242825585164714190795727177289193707936288448757607620884395915808810169838006401939994129380221798621603922122120110978533508520737364952338800186754919489090671539065182388363071753440332332249991931441542792540505050771825563716012931675348704705770151623950861159540884480458342871213236644751652034678244538551634573645445081249713336054306352098643138437770637045046645088903473177825834711859735016452422236013031965468217796705403248576918867778077692445192471434260249043920105606081135347705471262201478880521919759088254915924663179252552339836393647820778888239706561457303926528584995539088709710358964191141263305063547111178725937342302098044093057127459931531969143049596597192023941133832945605615334970253334228000275114412032554739404197725782911039011770988887590764320264786241103943964745418928079629108956619786453969570711590050691932385791267203614515551830325273413306776447458839519881809227379691968602616006998938263546188046854314963767036370641280548468755684510584427490525867039168065160950239341183895809995044275414602304583704717163464266405807330989661792426013150352392087304879788737912048852459292593719156210711473037637547103646633898687511717796971016064790324828663563087681469449755567209995580910951033394998762663853063178438599205534963057781410172898489892718908461868307071054446450561922351101300171637091591413816045421511530390792520180437209031104189440498889042828323443697952275508957192579916808786021116553372668204960814067368778487925938948510853284619996784341333402905801347256105023014742400298085781418992355245244156505542455222650319803872472017206844050437780143120498808268520589669594027795801438407544679315677995610024554202130961041463899262204300934333414826431857761050231879979281031546519214077200265877969102451689679880205621377656924576256346866648855273620211964454200666629878075419597919852822938780309508644306537653750021962025990643059595796196697895840873603111986834333194711636636348263344926116699951769640079227690346397831461531292290830418182071541604993899466537843235494262980341932336568387592159813596163181944639955690022622519454338194071345149482727629363247164883011183345428351495527322131091146630729105930006087949486403591684325160001638574604024394536745386047627900917257815847545171976792043319150875518285604781055959205372582776540005233644057612223824800964132529686684541425442628267789238706523810350415794716578754447768048781908772346231178543166514429377036603488773915367383002286671376468419724428841687176592794065754546867062875406331140604798929779064101927739181639627468245954232039869046707424467620707677501544195000789093397664181696452971158542902981581987839614407777681067561791112963614073029383140487183899555545496926164982886373099319907733644729223215119356475099918343507159953339661877757192384854128503625650657367508508660932110689248806971912244789249729377746967911203753323354211795666229306826885533076923224636360742503247191795910899694603683976297608514851769022529820637273260270472582103791801328333797745859172743767108242081619361527230269139392742585955692131235200252584005651254346885442923058733606248191257109473881785843652930393562387120056434695224498865819867705157369}
30283  663644565749571730792142530623039902316559391884745910770114778593645572588562359394816: {998877,1059485,1271382,1483181,1513550,1816260,1937344,2118830,2179512,2451951,2542596,2874605,3026900,3449526,3600821,3632280,3874432,4086315,4327037,4358736,4870733,4903578,5144030,5594585,6172836,6322877,6685913,6713502,6958190,7322678,7519053,8349828,10120685,10312181,11014276,11212733,11314622,11400857,12144822,13215317,14637785,15086613,15433733,15734680,16018190,16094596,16442105,16698941,17240997,17565342,17701515,18466253,18639544,18806501,18881616,19221828,19293758,19730526,20271581,20451028,20946605,20969487,21002853,21241818,22048190,22093013,22596581,22611837,22992280,23171837,23543717,23648462,23855630,24218877,24963675,25135926,25719773,25866315,26249188,26306813,26457828,26627920,26866430,27170477,27237785,27590736,28626756,28656953,28800856,28903301,29323301,29956410,30021782,30422477,31039578,31136511,31250582,31692693,31953504,32224917,32239716,32280830,32400963,32571773,32685342,33100781,34181477,34358933,34609432,34919417,35005277,35197421,35944437,35947692,36454733,37067275,37498840,37673117,37711541,38398181,38440781,38572575,38736996,38935611,39213878,39611897,39653373,40541141,41144080,41239677,41290430,41890430,42130862,42186195,42738137,42888260,43668004,43879197,44480730,44519222,44998608,46073357,46287090,46513317,47286830,47446112,47595437,47714702,48052973,48165341,48496382,49084190,49111384,49372896,49548516,49562285,49667133,49748681,50192013,50268516,50282030,50623434,50683973,50835086,51326717,51465912,51600388,52078190,52953250,53376876,53666873,53873630,53985437,54440222,54838877,54906213,54909195,55121462,55250307,55253933,55544508,55743662,55834253,56744196,57517653,57802766,57813483,57899151,58569808,58653341,58901028,59025077,59094398,59123597,59313785,59474742,59911181,60338436,61460633,61495133,62493828,62641022,63543900,63893177,64648356,65070101,65316182,65353613,65774175,65837973,65891034,65898221,66428381,66479021,67035518,67578628,67688153,67715126,67780160,68163860,68788766,68796173,68807630,68825575,70021757,70159120,70493853,70799417,71176542,71841758,72326078,72336472,72720581,73072893,73111661,73714840,75001037,75181421,75482681,75646533,75647500,76252680,76569197,77624837,77701557,77793677,78142744,78929010,78934190,79546936,80360921,81336192,81378531,81531835,81796632,82451837,82569156,82575380,82590690,82823997,82929195,83033741,83335053,83415413,83845893,83907902,84190944,84732782,84987076,85170782,85509221,85784265,85887093,86394197,86396853,86860598,87007396,87106253,87850190,87910587,88011542,88018493,88096736,88457808,89490303,90051485,90295817,90777000,90820862,91503216,91635902,91689101,91989957,92021211,92105957,92512133,93355757,94080857,94335428,94714812,94721028,94970030,95002181,95390981,95489366,95497781,96828800,97536377,97838202,98322250,98590742,98909117,99090456,99108828,99227342,99515034,99817144,...,15377434183220661983456375109161565632850329707969044388066183887623317636546236314119980874444620093231961199338782044931345693981187220445518585646478070867769084079341095012561942003344612249167282925788087181501369370402045665626636802105870315045715544257631981844619362832574964005730639287881602376622304994504855103877632713134828363007843396777588158257979706776167582705531658574479293094159570769277970825044652515833250922127345353022508901843228564021757768319964948731350150131079349475031359309045404121577360294037179409705465408881683992493790524513275078920142479700507814384149920196023761068849219617092268348530363848127692686507549186078290998464665259971064246069152098176906975544565472172081802979652611861458607747431304972432268780984667344439341115494929002259246851188026992698669546152663974738581630154076077191093355158234571012881991877778572190502676003847694111340776752981749733153312391375831819713415020023450239742088462583571058238665089231930137029683396106197424204488360933544057260426482222610072480402073137351511113415955546847473090869391024938505557569724190769297098226612865895656913802489777644500405550976237036199530113147274182725611219270879058797072762846136354289510122296453608695060349536996371124307879885529121373713807324683750943825360758651293909225139737277720903304241087483367560781844844764744707045406105101571211149623834989111280624793653496664583813394625296664583884791370854773381418197826390866845837307336401575850618513404086113392863577590621455207146284426006317369755117683836928620309972464358612062844262591872323767446886285587727636236385591610581717931676810161179194554411746893117341869253325505840295731495471896162826814638044678027649819936451733582339892652120895385420243184484095671253776442999989241922057056720673401029100751621350575567131606274360202165267814879387845973944457161617648859668869379570992718068846098193926774999617781405741802798190851250360849393395526785204630903767779615812980021936562981350709287290957062273870998102558490370770256593589961912346998725226807474774847130273961682935305174029226345451006554566217572336736453115191530427705184319608748609738568704779994052118279613811952254855017740084729481571634583123069464058790742836613242042625524066128796256031921511777260807487113293671112304000366819216043406319205596967710548052015694651850121019093686381654805258619660558570772838811942159715271959427615453400922576514388356271486020735773767031217742368596611786026509078969839589291470154675998584351394917395805753285022715160855040731291674246014112569987367822718890753547933652454911861079993392367219469739444939622884619021874409774652882389901350867136522783073173051650549398469945723458292208280948630716850062804862178531583348957062628021419720433104884750783575292599674089613327441214601377859998350218470750904584798940713284077041880230531319856958544615824409428072595267415896468135066895516122121885088060562015373854390026907249612041472252587331852057104431258263936367345276256773222411714694822071163557606614418756491704650567918598014471046159995712455111203874401796341473364019656533730781041891989806993658875340723273630200426405163296022942458733917040190827331744358027452892792037061068584543392905754237327480032738936174614721951865682939067912444553101909143681400309173305708042062025618769600354503958803268919573173607495170209232768341795822198473698160282619272267555506504100559463893137097251707079344859075383538333362616034654190746127728262263861121164804149315779110926282182181797684459901488933269026186772303587128530441948708389721107224242762055473325199288717124313992350640455909782091183456213084794884242592853274253363496692605784258761793532643636839150996219844014911127237801994036429508121528840972141240008117265981871455579100213335518099472032526048993848063503867889677087796726895969056057758867834024380806374741278940496777035386673644858743482965099734618843372915579388567256837690385651608698413800554392955438339263690731709211696461641571390888685905836048804651698553823177336382228501957892965905122249568790392087672729156083833875108187473065239705418802570318908852836624327938976053158728943232623494276903335392260001052124530218908928603961544723870642109317119485877036908090082388150618152097372510853982911866074060662568219977181830799093210311526305630953492475300133224458009546604452882503676256513138838004834200876490011344881242814252331742629216326385666305836995957214938337764472282394221639075769180710769230966181814323337662922394547866259471578635063478019802358696706427516364347027296776138389068437778396994478896991689477656108825815369640358852523656781274256174980267003445340868339129180590564078311474997588342812631842381124870573858083182826741912926965998487759823606876492}
30284  665697841114070779950042678698755377615381523652899636253793237209243837141568210515464: {393523,665962,786994,937843,1300363,1331836,1391914,1695176,1754674,1843603,1907073,2205403,2270325,2421680,2479762,2724390,2906016,2928139,3108643,3178245,3269268,3390128,3566314,3783625,3813894,4289962,4540350,4550083,4599368,4772074,4843040,5174289,5448420,5448643,5807563,5811648,6096562,6538104,6818194,7355367,7716045,8133523,8230448,8951336,8979634,9259254,9818794,10025404,10070253,10092139,10417714,10437285,10776874,10979539,10984017,11133104,11494762,11614354,12524742,12572323,12689962,12925483,13406314,13767845,15565003,16146994,16193096,16265962,16309601,16521414,16971933,17573554,17839483,18188323,18217233,19059163,19668350,19928203,20115484,20118245,22351939,22987996,23299430,23420456,23602020,23902603,23964562,24027285,24141894,24436114,25025194,25175488,25200749,25563785,25629104,25731562,25961083,26307368,26348013,26790034,27498139,27612394,27959316,28003804,28322424,28551274,28740350,28832742,28940637,29199139,29595789,30149116,30216283,30283253,30676542,31010962,31061923,31127914,31862727,31905763,32179762,32291836,32579539,32811485,33072285,33284900,33514568,33588043,34488420,35277104,35472693,35560234,35783445,36001070,36374194,36722794,36787648,37703889,37999762,38169008,38695474,39373782,39686742,39941880,40299645,40432234,41386104,41472562,41515348,41727139,41934514,42256924,42383923,42604672,42940134,42966556,42972461,42986288,43201284,43261790,43580456,44020843,44355562,44934615,45032673,45813139,46462723,46559367,46624939,46873550,46875873,47434939,47596723,47687314,47925916,47930256,48359574,48404563,48421245,48833074,49028013,49405354,49854139,50205874,50548714,51248582,51430100,51649328,51804562,51914148,51918634,52871164,53213803,53610325,53921538,53969194,54585005,54802483,54986236,56226139,56248260,56921962,58105494,58505596,58742683,58820817,59298994,59307640,59998144,60315562,60766954,60773803,61389230,61443562,61716120,61862443,61935645,62006962,62017756,62835645,63196293,63294413,63694762,64029139,64332390,64368874,64500485,64705714,65414563,65502006,65827474,65830528,66064688,66222844,66488083,66721095,66778833,66922684,67024688,67059562,67171474,67497912,67863139,68374901,68621216,68624539,68736562,69430635,69603569,69990523,70746883,70930245,71078314,71169168,71572053,71802763,72524434,72744573,73079914,73208284,73212260,73626285,73667076,74059344,74322774,75402774,75423045,75519274,75658928,75935151,76252629,76514962,76690204,76881139,77029243,77084644,77198868,77400582,78117285,78358939,78534704,78722962,79095139,79299656,79384114,79429875,79824562,79829539,80065314,80451248,80810445,81660333,81876283,82132714,82164797,82682193,83010154,83316762,83325104,83615493,84473285,84725200,85116294,85204825,85745554,85963954,86197808,86214643,86704149,86882393,86945962,87074539,87340001,87599914,87698900,87783964,87854712,87931843,88035562,88351542,88641597,89212113,89232274,89558314,89780443,90209962,90420590,90507654,90644074,91194163,92143550,92486194,92810794,92881123,92918962,93740742,93961533,93991804,94559375,94836139,94902056,95186794,95315850,95392123,95669683,96915139,96972534,97053163,97430524,97662514,97678430,97974273,98414314,98836551,98950834,98977939,99156449,99379762,99433670,...,23066151274830992975184562663742348449275494561953566582099275831434976454819354471179971311666930139847941799008173067397018540971780830668277878469717106301653626119011642518842913005016918373750924388682130772252054055603068498439955203158805472568573316386447972766929044248862446008595958931822403564933457491757282655816449069702242544511765095166382237386969560164251374058297487861718939641239356153916956237566978773749876383191018029533763352764842846032636652479947423097025225196619024212547038963568106182366040441055769114558198113322525988740685786769912618380213719550761721576224880294035641603273829425638402522795545772191539029761323779117436497696997889956596369103728147265360463316848208258122704469478917792187911621146957458648403171477001016659011673242393503388870276782040489048004319228995962107872445231114115786640032737351856519322987816667858285754014005771541167011165129472624599729968587063747729570122530035175359613132693875356587357997633847895205544525094159296136306732541400316085890639723333915108720603109706027266670123933320271209636304086537407758336354586286153945647339919298843485370703734666466750608326464355554299295169720911274088416828906318588195609144269204531434265183444680413042590524305494556686461819828293682060570710987025626415738041137976940863837709605916581354956361631225051341172767267147117060568109157652356816724435752483666920937190480244996875720091937944996875827187056282160072127296739586300268755961004602363775927770106129170089295366385932182810719426639009476054632676525755392930464958696537918094266393887808485651170329428381591454354578387415872576897515215241768791831617620339676012803879988258760443597243207844244240221957067017041474729904677600373509838978181343078130364776726143506880664664499983862883085585081010101543651127432025863350697409411540303247901722319081768960916685742426473289503304069356489077103269147290890162499426672108612704197286276875541274090093290177806946355651669423719470032904844472026063930936435593410806497153837735556155384890384942868520498087840211212162270695410942524402957761043839518176509831849326358505104679672787295641557776479413122914607853057169991078177419420717928382282526610127094222357451874684604196088186114254919863063938286099193194384047882267665891211230669940506668456000550228824065109478808395451565822078023541977775181528640529572482207887929490837856159258217913239572907939141423180101383864771582534407229031103660650546826613552894917679039763618454759383937205232013997876527092376093708629927534072741282561096937511369021168854981051734078336130321900478682367791619990088550829204609167409434326928532811614661979323584852026300704784174609759577475824097704918585187438312421422946075275094207293267797375023435593942032129580649657327126175362938899511134419991161821902066789997525327706126356877198411069926115562820345796979785437816923736614142108892901123844702202600343274183182827632090843023060781585040360874418062208378880997778085656646887395904551017914385159833617572042233106745336409921628134737556975851877897021706569239993568682666805811602694512210046029484800596171562837984710490488313011084910445300639607744944034413688100875560286240997616537041179339188055591602876815089358631355991220049108404261922082927798524408601868666829652863715522100463759958562063093038428154400531755938204903379359760411242755313849152512693733297710547240423928908401333259756150839195839705645877560619017288613075307500043924051981286119191592393395791681747206223973668666389423273272696526689852233399903539280158455380692795662923062584581660836364143083209987798933075686470988525960683864673136775184319627192326363889279911380045245038908676388142690298965455258726494329766022366690856702991054644262182293261458211860012175898972807183368650320003277149208048789073490772095255801834515631695090343953584086638301751036571209562111918410745165553080010467288115224447649601928265059373369082850885256535578477413047620700831589433157508895536097563817544692462357086333028858754073206977547830734766004573342752936839448857683374353185588131509093734125750812662281209597859558128203855478363279254936491908464079738093414848935241415355003088390001578186795328363392905942317085805963163975679228815555362135123582225927228146058766280974367799111090993852329965772746198639815467289458446430238712950199836687014319906679323755514384769708257007251301314735017017321864221378497613943824489578499458755493935822407506646708423591332458613653771066153846449272721485006494383591821799389207367952595217029703538045059641274546520540945164207583602656667595491718345487534216484163238723054460538278785485171911384262470400505168011302508693770885846117467212496382514218947763571687305860787124774240112869390448997731639735410314738}
30285  667757432323211911155889134858987252900053935544671633336450273985027128231998768290029: {998943,1180491,1483279,1664795,1997754,2087871,2118970,2542764,2632011,2966362,3027100,3632520,3719643,3874688,4024447,4086585,4237660,4359024,4903902,5085192,5113771,5349471,5720841,5749210,6053800,6434943,6810525,6899052,7158111,7201642,7264560,7472491,7748864,7832419,8172630,8654074,8717472,9144843,9741466,9807156,10227291,10288060,11189170,12187123,12345672,12531755,12645754,13371826,13427004,13469451,13888881,13916380,14168959,14645356,14728191,15038106,15626571,16165311,16699656,17242143,17421531,18787113,19034943,20109471,20241370,20492899,20624362,22028552,22425466,22629244,22801714,23018947,23588543,23957323,24220491,24289644,24398943,24692191,24782121,25144355,26360331,26430634,28734995,29044303,29275570,29325247,29502525,30173226,30867466,31469360,32036380,32189192,32884210,33397882,34481994,34949145,35004755,35130684,35403030,35946843,36212841,36447779,36654171,36932506,37279088,37490123,37537791,37613002,37686395,37763232,38132899,38443656,38587516,38597343,39461052,40185051,40271263,40364795,40396291,40543162,40902056,40985471,41358859,41418591,41606125,41893210,41938974,42005706,42483636,42826911,43110525,43249113,44096380,44186026,45193162,45223674,45310687,45416459,45984560,46014813,46343674,46422011,46516443,46691871,47087434,47296924,47711260,48269643,48437754,49927350,50271852,50771243,51439546,51667067,51732630,51894185,52498376,52613626,52821155,52915656,53255840,53340351,53708195,53732860,54001605,54340954,54450331,54475570,54561291,54862859,55084191,55181472,55601467,56999643,57253512,57313906,57601712,57806602,58043211,58189619,58646602,59060673,59530113,59907395,59912820,60043564,60648351,60844954,62079156,62208843,62273022,62501164,62698399,62901771,63385386,63800971,63907008,64287625,64410201,64449834,64479432,64561660,64801926,64892685,65143546,65370684,66088955,66201562,66533343,67115099,68132059,68299603,68362954,68717866,68732795,69218864,69387199,69838834,70010554,70064003,70310325,70394842,70804123,71530971,71888874,71895384,72539361,72725407,72909466,73131995,73249611,74108031,74134550,74818699,74997680,75027359,75308811,75346234,75423082,75823071,76291427,76796362,76872873,76881562,77145150,77473992,77522195,77706843,77871222,77877951,78427756,79164763,79223794,79306746,80882307,80953791,81082282,82288160,82479354,82580860,82778555,83039299,83653355,83780860,84261724,84372390,85382943,85476274,85776520,86821823,87158241,87336008,87758394,88183987,88948491,88961460,89038444,89815147,89997216,90473343,91150431,91510355,91515325,91560827,92083845,92146714,92165343,92574180,93010443,93026634,93228991,94573660,94700491,94892224,95190874,95429404,95542143,95862755,96105946,96330682,96355805,96498585,96553311,96992764,97058571,98168380,98222768,98253009,98741211,98745792,99097032,99124570,99334266,99497362,...,34599226912246489462776843995613522673913241842930349873148913747152464682229031706769956967500395209771912698512259601095527811457671246002416817704575659452480439178517463778264369507525377560626386583023196158378081083404602747659932804738208208852859974579671959150393566373293669012893938397733605347400186237635923983724673604553363816767647642749573356080454340246377061087446231792578409461859034230875434356350468160624814574786527044300645029147264269048954978719921134645537837794928536318820558445352159273549060661583653671837297169983788983111028680154868927570320579326142582364337320441053462404910744138457603784193318658287308544641985668676154746545496834934894553655592220898040694975272312387184056704218376688281867431720436187972604757215501524988517509863590255083305415173060733572006478843493943161808667846671173679960049106027784778984481725001787428631021008657311750516747694208936899594952880595621594355183795052763039419699040813034881036996450771842808316787641238944204460098812100474128835959585000872663080904664559040900005185899980406814454456129806111637504531879429230918471009878948265228056055601999700125912489696533331448942754581366911132625243359477882293413716403806797151397775167020619563885786458241835029692729742440523090856066480538439623607061706965411295756564408874872032434542446837577011759150900720675590852163736478535225086653628725500381405785720367495313580137906917495313740780584423240108190945109379450403133941506903545663891655159193755133943049578898274216079139958514214081949014788633089395697438044806877141399590831712728476755494142572387181531867581123808865346272822862653187747426430509514019205819982388140665395864811766366360332935600525562212094857016400560264758467272014617195547165089215260320996996749975794324628377621515152315476691148038795026046114117310454871852583478622653441375028613639709934254956104034733615654903720936335243749140008162919056295929415313311911135139935266710419533477504135579205049357266708039095896404653390116209745730756603334233077335577414302780747131760316818243406043116413786604436641565759277264764747773989537757657019509180943462336664719119684371911779585754986617266129131076892573423789915190641333536177812026906294132279171382379794595907429148789791576071823401498836816846004910760002684000825343236097664218212593177348733117035312966662772292960794358723311831894236256784238887326869859359361908712134770152075797157373801610843546655490975820239920329342376518559645427682139075905807848020996814790638564140562944891301109111923841645406267053531753282471577601117504195482850718023551687429985132826243806913751114151490392799217421992968985377278039451057176261914639366213736146557377877781157468632134419112912641310939901696062535153390913048194370974485990689263044408349266701629986742732853100184996287991559189535315797616604889173344230518695469678156725385604921213163339351685767053303900514911274774241448136264534591172377560541311627093312568321496667128484970331093856826526871577739750426358063349660118004614882442202106335463777816845532559853859990353024000208717404041768315069044227200894257344256977065735732469516627365667950959411617416051620532151313340429361496424805561769008782083387404315222634037947033986830073662606392883124391697786612902803000244479295573283150695639937843094639557642231600797633907307355069039640616864132970773728769040599946565820860635893362601999889634226258793759558468816340928525932919612961250065886077971929178787388590093687522620809335960502999584134909909044790034778350099855308920237683071039193494384593876872491254546214624814981698399613529706482788941025797009705162776479440788489545833919867070067867558363014582214035448448182888089741494649033550036285054486581966393273439892187317790018263848459210775052975480004915723812073183610236158142883702751773447542635515930376129957452626554856814343167877616117748329620015700932172836671474402892397589060053624276327884803367716119571431051247384149736263343304146345726317038693535629499543288131109810466321746102149006860014129405259173286525061529778382197263640601188626218993421814396789337192305783217544918882404737862696119607140122273402862123032504632585002367280192992545089358913475628708944745963518843223333043202685373338890842219088149421461551698666636490778494948659119297959723200934187669645358069425299755030521479860018985633271577154562385510876951972102525525982796332067746420915736734367749188133240903733611259970062635386998687920480656599230769673909082227509741575387732699083811051928892825544555307067589461911819780811417746311375403985001393237577518231301324726244858084581690807418178227757867076393705600757752016953763040656328769176200818744573771328421645357530958791180687161360169304085673496597459603115472107}
30286  669823358691618204035536894603368893626500925751001182330785898879206300497401364130126: {514573,787046,1331924,1573988,1875686,2506849,2600726,2663672,2687533,2783828,2996631,3178455,3390352,3509348,3687206,3783875,3814146,4410806,4449543,4490413,4540650,4843360,4959524,5029873,5209549,5297075,5448780,5812032,5856278,5927533,6217286,6356490,6538536,6780256,6823393,7132628,7181233,7355853,7567250,7627788,7717453,8579924,8623815,9080700,9100166,9198736,9544148,9686080,10348578,10743793,10802463,10896840,10897286,11615126,11623296,12193124,12258945,12514273,12860075,12981111,13076208,13396813,13636388,13925473,14612199,14710734,15432090,16267046,16460896,16734049,16783755,16908973,17395475,17902672,17959268,18305773,18306695,18518508,18968631,19274983,19350349,19637588,20050808,20057739,20140506,20184278,20835428,20874570,21258673,21553748,21959078,21968034,22266208,22557159,22989524,23228708,25049484,25144646,25220653,25379924,25392049,25850966,26076913,26812628,27535690,27784033,27954349,28165543,28286555,28804849,30362055,30936543,31130006,32293988,32386192,32531924,32619202,33042828,33638199,33870049,33943866,34202571,35147108,35544049,35678966,35789299,36376646,36434466,36544993,37044493,37875553,38118326,39336700,39645951,39856406,40045475,40230968,40236490,40266743,41181793,42987949,43913355,44703878,45259839,45436849,45936079,45975992,46301199,46598860,46840912,46898413,47204040,47707873,47805206,47929124,48054570,48234395,48283788,48872228,49326315,50050388,50096823,50350976,50401498,50927713,51127570,51258208,51463124,51722991,51888049,51922166,52526833,52614736,52696026,53104545,53323693,53580068,54996278,55120475,55224788,55398759,55918632,56007608,56019553,56419503,56493133,56644848,56650849,57102548,57480700,57665484,57881274,58398278,59121155,59191578,59639075,60298232,60432566,60566506,60814743,61353084,62021924,62123846,62255828,62839815,62908461,63008559,63519073,63725454,63811526,64359524,64583672,65159078,65214349,65368033,65622970,66144570,66279039,66569800,66747949,67029136,67166075,67176086,67789743,67835511,68426593,68882893,68976840,69515511,70550449,70554208,70631151,70701613,70945386,71120468,71566890,72002140,72656631,72748388,72810349,73445588,73575296,74891025,75054455,75407778,75999524,76338016,76392493,76419007,77159319,77390948,77598945,77872813,78126455,78747564,78904753,78920439,79373484,79883760,80599290,80702075,80811853,80864468,81511431,81713355,82772208,82945124,83030696,83454278,83869028,84011533,84160703,84513848,84767846,85209344,85880268,85933112,85944922,85970859,85972576,86402568,86523580,86709903,86890093,87160912,87969903,88041686,88711124,89030113,89869230,90065346,90300679,90447793,91267431,91576753,91626278,92925446,93118734,93249878,93409533,93747100,93751746,94378993,94869878,95075053,95078079,95193446,95374628,95851832,95860512,95907949,96136139,96461773,96674751,96719148,96809126,96842490,97103851,97202889,97428193,97666148,97715319,98034695,98056026,98810708,99302343,99708278,...,46132302549661985950369125327484696898550989123907133164198551662869952909638708942359942623333860279695883598016346134794037081943561661336555756939434212603307252238023285037685826010033836747501848777364261544504108111206136996879910406317610945137146632772895945533858088497724892017191917863644807129866914983514565311632898139404485089023530190332764474773939120328502748116594975723437879282478712307833912475133957547499752766382036059067526705529685692065273304959894846194050450393238048425094077927136212364732080882111538229116396226645051977481371573539825236760427439101523443152449760588071283206547658851276805045591091544383078059522647558234872995393995779913192738207456294530720926633696416516245408938957835584375823242293914917296806342954002033318023346484787006777740553564080978096008638457991924215744890462228231573280065474703713038645975633335716571508028011543082334022330258945249199459937174127495459140245060070350719226265387750713174715995267695790411089050188318592272613465082800632171781279446667830217441206219412054533340247866640542419272608173074815516672709172572307891294679838597686970741407469332933501216652928711108598590339441822548176833657812637176391218288538409062868530366889360826085181048610989113372923639656587364121141421974051252831476082275953881727675419211833162709912723262450102682345534534294234121136218315304713633448871504967333841874380960489993751440183875889993751654374112564320144254593479172600537511922009204727551855540212258340178590732771864365621438853278018952109265353051510785860929917393075836188532787775616971302340658856763182908709156774831745153795030430483537583663235240679352025607759976517520887194486415688488480443914134034082949459809355200747019677956362686156260729553452287013761329328999967725766171170162020203087302254864051726701394818823080606495803444638163537921833371484852946579006608138712978154206538294581780324998853344217225408394572553751082548180186580355613892711303338847438940065809688944052127861872871186821612994307675471112310769780769885737040996175680422424324541390821885048805915522087679036353019663698652717010209359345574591283115552958826245829215706114339982156354838841435856764565053220254188444714903749369208392176372228509839726127876572198386388768095764535331782422461339881013336912001100457648130218957616790903131644156047083955550363057281059144964415775858981675712318516435826479145815878282846360202767729543165068814458062207321301093653227105789835358079527236909518767874410464027995753054184752187417259855068145482565122193875022738042337709962103468156672260643800957364735583239980177101658409218334818868653857065623229323958647169704052601409568349219519154951648195409837170374876624842845892150550188414586535594750046871187884064259161299314654252350725877799022268839982323643804133579995050655412252713754396822139852231125640691593959570875633847473228284217785802247689404405200686548366365655264181686046121563170080721748836124416757761995556171313293774791809102035828770319667235144084466213490672819843256269475113951703755794043413138479987137365333611623205389024420092058969601192343125675969420980976626022169820890601279215489888068827376201751120572481995233074082358678376111183205753630178717262711982440098216808523844165855597048817203737333659305727431044200927519917124126186076856308801063511876409806758719520822485510627698305025387466595421094480847857816802666519512301678391679411291755121238034577226150615000087848103962572238383184786791583363494412447947337332778846546545393053379704466799807078560316910761385591325846125169163321672728286166419975597866151372941977051921367729346273550368639254384652727778559822760090490077817352776285380597930910517452988659532044733381713405982109288524364586522916423720024351797945614366737300640006554298416097578146981544190511603669031263390180687907168173276603502073142419124223836821490331106160020934576230448895299203856530118746738165701770513071156954826095241401663178866315017791072195127635089384924714172666057717508146413955095661469532009146685505873678897715366748706371176263018187468251501625324562419195719116256407710956726558509872983816928159476186829697870482830710006176780003156373590656726785811884634171611926327951358457631110724270247164451854456292117532561948735598222181987704659931545492397279630934578916892860477425900399673374028639813358647511028769539416514014502602629470034034643728442756995227887648979156998917510987871644815013293416847182664917227307542132307692898545442970012988767183643598778414735905190434059407076090119282549093041081890328415167205313335190983436690975068432968326477446108921076557570970343822768524940801010336022605017387541771692234934424992765028437895527143374611721574249548480225738780897995463279470820629476}
30287  671895639592635927177005871264808665020535434224573538331322144634011278887473664802022: {1180569,1664905,1967485,1997886,2330713,2360982,2813529,2966558,3329590,3479785,3901089,3995508,4175742,4237940,4386685,5085528,5264022,5530809,5658433,5721219,5932724,6054200,6199405,6616209,6810975,7265040,7439286,7654009,7749376,8048894,8173170,8475320,8718048,8743117,8784417,8915785,9325929,9534735,9807804,10170384,10227542,10698942,10724905,11350875,11441682,11498420,11930185,12107600,12869886,13621050,13650249,13798104,14316222,14403284,14529120,14908813,14944982,15241405,15497728,15522867,15664838,15997489,16345260,16345929,17045485,17308148,17422689,17434944,17544457,17620009,18289686,19482932,19614312,20454582,20576120,22066101,22378340,22449085,23148135,24148177,24253009,24374246,24400569,24546985,24691344,25063510,25291508,26044285,26241193,26743652,26854008,26938902,26942185,27777762,27832760,27877369,28337918,28500289,28736905,29035885,29290712,29456382,29553073,30076212,30210759,30276417,30301633,31253142,31311855,31724905,32330622,32938617,32952051,33399312,33515785,34401217,34484286,34843062,35202097,35508913,36827209,37474477,37574226,37716969,38069886,38776449,40218942,40228993,40367485,40482740,40664905,40735753,40985798,41177593,41248724,41303535,42374809,42593857,43933885,44057104,44306509,44850932,45258488,45419473,45603428,45663853,46037894,46079473,46533577,46695009,47177086,47914646,48440982,48579288,48797886,48928803,49006657,49170875,49384382,49564242,49623529,50288710,50915799,51800173,52015513,52523017,52720662,52760953,52861268,53247889,53418493,53518449,53673997,53992609,54564969,54651699,55230313,55310233,55888333,56510713,57177489,57286009,57469990,57615529,58088606,58248575,58551140,58650494,59005050,59216317,59260993,59784609,59911405,60346452,60354735,61028137,61090285,61317313,61734932,62155033,62562985,62938720,64072760,64328905,64378384,65768420,66795764,66975085,67055817,67119553,68963988,69030985,69898290,70009510,70179757,70261368,70806060,71378185,71451409,71707809,71850875,71893686,72081855,72425682,72651859,72895558,73022353,73308342,73865012,73949617,74558176,74980246,75010993,75075582,75191473,75195817,75226004,75372790,75526464,75602247,75688393,76265798,76691355,76887312,77175032,77194686,77315473,77527405,77819785,77866189,77883249,78922104,79044039,80370102,80371597,80449405,80542526,80729590,80792582,81086324,81804112,81970942,82494417,82717718,82837182,83212250,83691913,83786420,83870353,83877948,84011412,84778429,84842893,84967272,85266889,85462417,85653822,86221050,86498226,86821911,86827609,87597417,88030177,88192760,88372052,88515277,88668697,88787367,88900585,90002675,90386324,90447348,90621374,90648849,90790729,90832918,90849759,90935485,91566913,91806985,91969120,92029626,92524537,92583853,92687348,92844022,93032886,93185769,93383742,94174868,94593848,94999405,95422520,95588181,95717289,96225913,96539286,96635209,96738685,96875508,97738617,98434455,99216855,99320173,99854700,...,69198453824492978925553687991227045347826483685860699746297827494304929364458063413539913935000790419543825397024519202191055622915342492004833635409151318904960878357034927556528739015050755121252773166046392316756162166809205495319865609476416417705719949159343918300787132746587338025787876795467210694800372475271847967449347209106727633535295285499146712160908680492754122174892463585156818923718068461750868712700936321249629149573054088601290058294528538097909957439842269291075675589857072637641116890704318547098121323167307343674594339967577966222057360309737855140641158652285164728674640882106924809821488276915207568386637316574617089283971337352309493090993669869789107311184441796081389950544624774368113408436753376563734863440872375945209514431003049977035019727180510166610830346121467144012957686987886323617335693342347359920098212055569557968963450003574857262042017314623501033495388417873799189905761191243188710367590105526078839398081626069762073992901543685616633575282477888408920197624200948257671919170001745326161809329118081800010371799960813628908912259612223275009063758858461836942019757896530456112111203999400251824979393066662897885509162733822265250486718955764586827432807613594302795550334041239127771572916483670059385459484881046181712132961076879247214123413930822591513128817749744064869084893675154023518301801441351181704327472957070450173307257451000762811571440734990627160275813834990627481561168846480216381890218758900806267883013807091327783310318387510267886099157796548432158279917028428163898029577266178791394876089613754282799181663425456953510988285144774363063735162247617730692545645725306375494852861019028038411639964776281330791729623532732720665871201051124424189714032801120529516934544029234391094330178430520641993993499951588649256755243030304630953382296077590052092228234620909743705166957245306882750057227279419868509912208069467231309807441872670487498280016325838112591858830626623822270279870533420839066955008271158410098714533416078191792809306780232419491461513206668466154671154828605561494263520633636486812086232827573208873283131518554529529495547979075515314039018361886924673329438239368743823559171509973234532258262153785146847579830381282667072355624053812588264558342764759589191814858297579583152143646802997673633692009821520005368001650686472195328436425186354697466234070625933325544585921588717446623663788472513568477774653739718718723817424269540304151594314747603221687093310981951640479840658684753037119290855364278151811615696041993629581277128281125889782602218223847683290812534107063506564943155202235008390965701436047103374859970265652487613827502228302980785598434843985937970754556078902114352523829278732427472293114755755562314937264268838225825282621879803392125070306781826096388741948971981378526088816698533403259973485465706200369992575983118379070631595233209778346688461037390939356313450771209842426326678703371534106607801029822549548482896272529069182344755121082623254186625136642993334256969940662187713653053743155479500852716126699320236009229764884404212670927555633691065119707719980706048000417434808083536630138088454401788514688513954131471464939033254731335901918823234832103241064302626680858722992849611123538017564166774808630445268075894067973660147325212785766248783395573225805606000488958591146566301391279875686189279115284463201595267814614710138079281233728265941547457538081199893131641721271786725203999779268452517587519116937632681857051865839225922500131772155943858357574777180187375045241618671921005999168269819818089580069556700199710617840475366142078386988769187753744982509092429249629963396799227059412965577882051594019410325552958881576979091667839734140135735116726029164428070896896365776179482989298067100072570108973163932786546879784374635580036527696918421550105950960009831447624146367220472316285767405503546895085271031860752259914905253109713628686335755232235496659240031401864345673342948805784795178120107248552655769606735432239142862102494768299472526686608292691452634077387071258999086576262219620932643492204298013720028258810518346573050123059556764394527281202377252437986843628793578674384611566435089837764809475725392239214280244546805724246065009265170004734560385985090178717826951257417889491927037686446666086405370746677781684438176298842923103397333272981556989897318238595919446401868375339290716138850599510061042959720037971266543154309124771021753903944205051051965592664135492841831473468735498376266481807467222519940125270773997375840961313198461539347818164455019483150775465398167622103857785651089110614135178923823639561622835492622750807970002786475155036462602649452489716169163381614836356455515734152787411201515504033907526081312657538352401637489147542656843290715061917582361374322720338608171346993194919206230944214}
30288  673974294458512038692527141948636332346590132486398494085610496678784669883337567640901: {514607,575111,877511,1029146,1421327,1574092,2663848,2996829,3048887,3147976,3229367,3541473,3751372,3830447,4449837,4490711,4550687,4994385,5013698,5201452,5297425,5327344,5375066,5389511,5567656,5748527,5927927,5987711,5993262,6263613,6356910,6780704,6883511,7018696,7241327,7374412,7415905,7567750,7628292,7896033,8313047,8821612,8899086,8980826,9081300,9686720,9919048,10059746,10419098,10594150,10897560,10981007,11158929,11624064,11712556,11855066,12073341,12220511,12259755,12434572,12574007,12712980,13077072,13560512,13646786,14265256,14362466,14373025,14711706,14864711,15134500,15255576,15341313,15434906,16048413,16268327,16968407,17159848,17162523,17247630,18004105,18161400,18200332,18307007,18365111,18397472,19088296,19177727,19304829,19372160,19525511,20046647,20431575,20697156,20740487,21260111,21474333,21487586,21604926,21635185,21793680,21794572,22182287,22354967,22417473,22470047,23217287,23230252,23246592,23497257,24353665,24386248,24517890,25028546,25279511,25629373,25720150,25793447,25962222,26078687,26152416,26793626,27272776,27434529,27615527,27850946,27972925,28636847,29033327,29224398,29421468,29825111,30681873,30864180,31614385,31741487,32022527,32359511,32534092,32921792,33429565,33468098,33536687,33567510,33817946,34542887,34790950,35713511,35805344,35918536,36561369,36611546,36613390,37037016,37102511,37595265,37937262,38431247,38549966,38700698,39275176,39369647,39535007,39601177,40101616,40115478,40281012,40368556,40408353,40690511,41239511,41666643,41670856,41749140,41842487,42389807,42506877,42517346,42663167,43107496,43154711,43918156,43936068,44184573,44532416,44788511,45114318,45927887,45979048,46415111,46457416,46631447,46879713,47441567,47587969,47711207,47765111,48495933,48518927,48841511,49700327,49861127,50098968,50289292,50441306,50603425,50759848,50784098,50984711,51560905,51571847,51701932,51726429,52153826,52264593,53327447,53380511,53625256,53963687,55071380,55568066,55908698,56023511,56063665,56331086,56361339,56549711,56573110,56865047,57004285,57104829,57609698,58385111,58855487,60158687,60328413,60724110,61249511,61478697,61873086,61974767,62260012,62750087,63575111,64038287,64587976,64772384,65063848,65238404,65423927,65577527,66076585,66085656,66191207,67276398,67528153,67740098,67872887,67887732,67974527,68405142,69056841,70000607,70294216,70454711,70706711,70757087,70765629,71088098,71357932,71578598,71762927,71871969,72661473,72753292,72868932,73089986,73188925,73196829,73415567,73765007,73914647,74076573,74088986,74346363,74661767,75433065,75704711,75751106,76236652,76991087,77168665,78222887,78370367,78468647,78673400,78910511,79080993,79291902,79712812,80085647,80090950,80461936,80472980,80533486,82131047,82210525,82363586,82769617,83051711,83494705,84499511,85975898,86204985,86227367,87132909,87182807,87373511,87826710,87975741,88039967,88372607,88507575,89084087,89226167,89407756,89746511,90501647,90519678,90873698,91583567,91872158,91951984,92331265,92567711,92602398,92988407,93197720,93681824,93796826,94014047,94032505,94408080,94432511,95082167,95128511,95406407,95415746,95610412,95858248,96109140,96238367,96468790,96567576,97744456,98169527,98306927,98652630,98992847,99462649,...,103797680736739468388330531986840568021739725528791049619446741241457394046687095120309870902501185629315738095536778803286583434373013738007250453113726978357441317535552391334793108522576132681879159749069588475134243250213808242979798414214624626558579923739015877451180699119881007038681815193200816042200558712907771951174020813660091450302942928248720068241363020739131183262338695377735228385577102692626303069051404481874443724359581132901935087441792807146864936159763403936613513384785608956461675336056477820647181984750961015511891509951366949333086040464606782710961737978427747093011961323160387214732232415372811352579955974861925633925957006028464239636490504804683660966776662694122084925816937161552170112655130064845602295161308563917814271646504574965552529590770765249916245519182200716019436530481829485426003540013521039880147318083354336953445175005362285893063025971935251550243082626810698784858641786864783065551385158289118259097122439104643110989352315528424950362923716832613380296436301422386507878755002617989242713993677122700015557699941220443363368389418334912513595638287692755413029636844795684168166805999100377737469089599994346828263744100733397875730078433646880241149211420391454193325501061858691657359374725505089078189227321569272568199441615318870821185120896233887269693226624616097303627340512731035277452702162026772556491209435605675259960886176501144217357161102485940740413720752485941222341753269720324572835328138351209401824520710636991674965477581265401829148736694822648237419875542642245847044365899268187092314134420631424198772495138185430266482427717161544595602743371426596038818468587959563242279291528542057617459947164421996187594435299099080998806801576686636284571049201680794275401816043851586641495267645780962990990249927382973885132864545456946430073444116385078138342351931364615557750435867960324125085840919129802764868312104200846964711162809005731247420024488757168887788245939935733405419805800131258600432512406737615148071800124117287689213960170348629237192269810002699232006732242908342241395280950454730218129349241359813309924697277831794294243321968613272971058527542830387009994157359053115735338757264959851798387393230677720271369745571924000608533436080718882396837514147139383787722287446369374728215470204496510450538014732280008052002476029708292992654637779532046199351105938899988316878882383076169935495682708770352716661980609578078085726136404310456227391472121404832530639966472927460719760988027129555678936283046417227717423544062990444371915692421688834673903327335771524936218801160595259847414732803352512586448552154070655062289955398478731420741253342454471178397652265978906956131834118353171528785743918098641208439672133633343472405896403257338737923932819705088187605460172739144583112923457972067789133225047800104889960228198559300554988863974677568605947392849814667520032691556086409034470176156814763639490018055057301159911701544733824322724344408793603773517132681623934881279937704964490001385454910993281570479580614733219251279074190048980354013844647326606319006391333450536597679561579971059072000626152212125304945207132681602682772032770931197207197408549882097003852878234852248154861596453940021288084489274416685307026346250162212945667902113841101960490220987819178649373175093359838708409000733437886719849452086919813529283918672926694802392901721922065207118921850592398912321186307121799839697462581907680087805999668902678776381278675406449022785577798758838883750197658233915787536362165770281062567862428007881508998752404729727134370104335050299565926760713049213117580483153781630617473763638643874444945095198840589119448366823077391029115488329438322365468637501759601210203602675089043746642106345344548664269224483947100650108855163459745899179820319676561953370054791545377632325158926440014747171436219550830708474428651108255320342627906547791128389872357879664570443029503632848353244988860047102796518510014423208677192767180160872828983654410103148358714293153742152449208790029912439037178951116080606888498629864393329431398965238306447020580042388215777519859575184589335146591790921803565878656980265443190368011576917349652634756647214213588088358821420366820208586369097513897755007101840578977635268076740426886126834237890556529669999129608056120016672526657264448264384655095999909472335484845977357893879169602802563008936074208275899265091564439580056956899814731463687156532630855916307576577948388996203239262747210203103247564399722711200833779910187906160996063761441969797692309021727246682529224726163198097251433155786678476633665921202768385735459342434253238934126211955004179712732554693903974178734574253745072422254534683273601229181116802273256050861289121968986307528602456233721313985264936072592876373542061484080507912257020489792378809346416321}
30289  676059342780572220182689663229868835463970300348703968126099285998626271413306474365572: {1543719,1967615,2330867,2361138,2754479,3329810,3934970,3995772,4661426,4689215,4721964,4871699,5627058,5933116,6141359,6324131,6501815,6659180,6687239,6959570,7520547,7802178,7991016,8062599,8351484,8475880,8679167,8773370,8989893,9045647,9218015,9535365,9771719,10171056,10528044,11027015,11061618,11316866,11351625,11442438,11865448,12108400,12308087,12398810,12482099,13232418,13348629,13471239,13621950,14530080,14640695,14878572,15014867,15089619,15308018,15498752,15543215,15628647,15891225,15937007,16097788,16346340,16662791,16702259,16950640,17436096,17486234,17568834,17782599,17831570,18651858,18918125,19069470,19615608,20340768,20455084,20470179,20823647,21337967,21397884,21449810,21543699,22067559,22265507,22701750,22750415,22883364,22996840,23152359,23860370,23863679,24215200,25739772,25871445,26989139,27242100,27243215,27300498,27596208,28632444,28662647,28806568,29037815,29058240,29817626,29889964,29890547,30482810,30995456,31012319,31045734,31328807,31329676,31428719,31994978,32203127,32231379,32407389,32429279,32690520,32691858,33866531,34090970,34365779,34616296,34845378,34869888,34926359,35088914,35240018,36172631,36461999,36579372,36776835,37542819,37719059,38448419,38580225,38943333,38965864,39228624,40190439,40231667,40650239,40667615,40909164,41152240,41776419,41883239,41965079,43836597,44017427,44132202,44414867,44756680,44898170,45830087,46082531,46296270,46922099,47604899,48296354,48506018,48748492,48801138,49093970,49382688,50127020,50202147,50351265,50460695,50583016,50726919,51036071,52088570,52186425,52482386,52825919,53487304,53677559,53708016,53877804,53884370,54457559,54849779,54897695,54917319,54920085,55555524,55665520,55754738,55845347,56514479,56675836,56905893,56930867,57000578,57102527,57473810,57824949,57894311,58051047,58071770,58581424,58912764,59106146,59923127,60152424,60173217,60421518,60552834,60603266,61472879,61507439,62463431,62506284,62623710,62861615,63449810,63776019,63809447,63905879,64627415,64661244,65366639,65877234,65904102,66441587,66798624,67031570,67307039,67671477,67701647,68802434,68839225,68968572,69144671,69686124,70035719,70404194,71017826,71204279,73654418,74948954,75015971,75148452,75433938,75497687,75661959,76139772,76176147,76584419,77552898,77825015,78230739,78436199,79285487,80437884,80457986,80734970,80965480,81329810,81471506,81548005,81971596,82355186,82497448,82607070,82907207,83236271,83352099,83432039,83863047,83875967,84496629,84749618,84859665,85187714,85526399,86411411,86414547,86528927,87588179,87867770,88036019,88114208,88613018,89197415,89449919,89701864,89827079,90060467,90516976,90694127,90838946,90941615,91086165,91206856,91327706,92075788,92158946,92590007,92648999,92809629,93067154,93390018,93765119,94354172,95295815,95516819,95829292,96643379,96881964,97158576,97595772,97717391,97857606,98013314,98341750,98768764,98928839,99128484,99247058,99641015,99929459,...,138396907648985957851107375982454090695652967371721399492595654988609858728916126827079827870001580839087650794049038404382111245830684984009667270818302637809921756714069855113057478030101510242505546332092784633512324333618410990639731218952832835411439898318687836601574265493174676051575753590934421389600744950543695934898694418213455267070590570998293424321817360985508244349784927170313637847436136923501737425401872642499258299146108177202580116589057076195819914879684538582151351179714145275282233781408637094196242646334614687349188679935155932444114720619475710281282317304570329457349281764213849619642976553830415136773274633149234178567942674704618986181987339739578214622368883592162779901089249548736226816873506753127469726881744751890419028862006099954070039454361020333221660692242934288025915373975772647234671386684694719840196424111139115937926900007149714524084034629247002066990776835747598379811522382486377420735180211052157678796163252139524147985803087371233267150564955776817840395248401896515343838340003490652323618658236163600020743599921627257817824519224446550018127517716923673884039515793060912224222407998800503649958786133325795771018325467644530500973437911529173654865615227188605591100668082478255543145832967340118770918969762092363424265922153758494428246827861645183026257635499488129738169787350308047036603602882702363408654945914140900346614514902001525623142881469981254320551627669981254963122337692960432763780437517801612535766027614182655566620636775020535772198315593096864316559834056856327796059154532357582789752179227508565598363326850913907021976570289548726127470324495235461385091291450612750989705722038056076823279929552562661583459247065465441331742402102248848379428065602241059033869088058468782188660356861041283987986999903177298513510486060609261906764592155180104184456469241819487410333914490613765500114454558839737019824416138934462619614883745340974996560032651676225183717661253247644540559741066841678133910016542316820197429066832156383585618613560464838982923026413336932309342309657211122988527041267272973624172465655146417746566263037109059058991095958151030628078036723773849346658876478737487647118343019946469064516524307570293695159660762565334144711248107625176529116685529519178383629716595159166304287293605995347267384019643040010736003301372944390656872850372709394932468141251866651089171843177434893247327576945027136955549307479437437447634848539080608303188629495206443374186621963903280959681317369506074238581710728556303623231392083987259162554256562251779565204436447695366581625068214127013129886310404470016781931402872094206749719940531304975227655004456605961571196869687971875941509112157804228705047658557464854944586229511511124629874528537676451650565243759606784250140613563652192777483897943962757052177633397066806519946970931412400739985151966236758141263190466419556693376922074781878712626901542419684852653357406743068213215602059645099096965792545058138364689510242165246508373250273285986668513939881324375427306107486310959001705432253398640472018459529768808425341855111267382130239415439961412096000834869616167073260276176908803577029377027908262942929878066509462671803837646469664206482128605253361717445985699222247076035128333549617260890536151788135947320294650425571532497566791146451611212000977917182293132602782559751372378558230568926403190535629229420276158562467456531883094915076162399786263283442543573450407999558536905035175038233875265363714103731678451845000263544311887716715149554360374750090483237343842011998336539639636179160139113400399421235680950732284156773977538375507489965018184858499259926793598454118825931155764103188038820651105917763153958183335679468280271470233452058328856141793792731552358965978596134200145140217946327865573093759568749271160073055393836843100211901920019662895248292734440944632571534811007093790170542063721504519829810506219427257372671510464470993318480062803728691346685897611569590356240214497105311539213470864478285724204989536598945053373216585382905268154774142517998173152524439241865286984408596027440056517621036693146100246119113528789054562404754504875973687257587157348769223132870179675529618951450784478428560489093611448492130018530340009469120771970180357435653902514835778983854075372893332172810741493355563368876352597685846206794666545963113979794636477191838892803736750678581432277701199020122085919440075942533086308618249542043507807888410102103931185328270985683662946937470996752532963614934445039880250541547994751681922626396923078695636328910038966301550930796335244207715571302178221228270357847647279123245670985245501615940005572950310072925205298904979432338326763229672712911031468305574822403031008067815052162625315076704803274978295085313686581430123835164722748645440677216342693986389838412461888428}
30290  678150804109399445696263723628637586688866879123942339586273821216046319816886441828417: {575149,938029,1029214,1119361,1150222,1755022,2024941,2058292,2386669,2842654,3109261,3148184,3289729,3541707,4550989,4730881,4994715,5327696,5449729,5808721,5902455,5988109,5993658,6097774,6295952,6458734,6992139,7082946,7416395,7502744,7660894,8313601,8323975,8440587,8899674,8981422,9101374,9204781,9916429,9988770,10027396,10382267,10402904,10439355,10594850,10654688,10750132,10779022,11135312,11159041,11497054,11703267,11855854,11975422,11986524,12221329,12527226,12713820,13104589,13160055,13561408,13633681,13767022,14037392,14482654,14514061,14748824,14831810,15135500,15256584,15792066,16592427,16626094,16975299,17163657,17643224,17798172,17961652,18017581,18162600,18366349,18598215,19373440,19584769,19838096,19848627,20119492,20122235,20432925,20452909,20838196,20972929,21188300,21795120,21962014,22317858,22962027,23248128,23425112,23710132,24146682,24441022,24519510,24869144,25109761,25148014,25205747,25425960,25568855,26154144,26229351,26353251,26650381,26747355,27121024,27293572,27977787,28530512,28604205,28724932,28746050,29423412,29729422,29883649,30269000,30289259,30391789,30511152,30682626,30869812,31237249,32096826,32174715,32536654,32586241,32754541,33594961,33936814,34052625,34095131,34319696,34325046,34495260,35270401,35771629,35790555,36008210,36322800,36400664,36614014,36730222,36794944,37362455,38176592,38355454,38609658,38744320,39051022,39162095,39923329,40093294,40863150,40950747,41077741,41394312,41480974,41735821,41900161,42520222,42720781,42948666,42975172,43209852,43270370,43587360,43589144,44030029,44260139,44364574,44709934,44726439,44834946,44940094,45008941,45334669,45724215,46434574,46460504,46472449,46493184,46568601,46634701,46801391,46994514,47606701,47768449,47992467,48414721,48576109,48707330,48772496,49035780,49037787,49703809,50025361,50057092,50559022,50667601,51136455,51258746,51440300,51586894,51924444,52157374,52268067,52304832,52633371,52860027,52906369,53384269,53587252,54545552,54869058,55231054,55701892,55945850,56240327,56395921,56869069,57273694,58066654,58448796,58842936,58911889,59650222,60935615,61253869,61363746,61728360,61875661,62341249,62658775,62806189,63228770,63482974,64045054,64197121,64719022,65068184,65582221,65843584,66195949,66198303,66655489,66859130,66936196,67073374,67135020,67347255,67635892,68639341,68791441,69085774,69444405,69581900,70459789,70762189,70844795,70913281,71427022,71610688,71818321,71837072,72185267,72420241,72444531,72759027,73122738,73201707,73223092,73226780,73470829,73640955,74074032,74205022,74667181,75190530,75710209,75874524,76862494,77046061,77099932,77401396,77785681,78132855,78489131,78550352,78723579,78739294,79070014,79202354,79805999,80203232,80230956,80562024,80726161,80737112,80816706,80826555,81381022,82331149,82479022,82767361,83057809,83333286,83341712,83498280,83632107,83684974,83782669,84779614,85013754,85034692,85326334,85500867,85802701,86210715,86214992,86233729,86309422,86377261,87093841,87107655,87379969,87836312,87872136,88094029,88369146,88659219,89064832,89577022,89800429,90083821,90228636,90632277,90829251,90904899,91855774,91958096,92507219,92761681,92830222,92914832,93042049,93262894,93759426,93935565,94883134,95135629,95174715,95175938,95422414,95530222,96245581,96991866,97037854,97075021,97683022,98815851,98856153,99137281,99400654,99722254,...,207595361473478936776661063973681136043479451057582099238893482482914788093374190240619741805002371258631476191073557606573166868746027476014500906227453956714882635071104782669586217045152265363758319498139176950268486500427616485959596828429249253117159847478031754902361398239762014077363630386401632084401117425815543902348041627320182900605885856497440136482726041478262366524677390755470456771154205385252606138102808963748887448719162265803870174883585614293729872319526807873227026769571217912923350672112955641294363969501922031023783019902733898666172080929213565421923475956855494186023922646320774429464464830745622705159911949723851267851914012056928479272981009609367321933553325388244169851633874323104340225310260129691204590322617127835628543293009149931105059181541530499832491038364401432038873060963658970852007080027042079760294636166708673906890350010724571786126051943870503100486165253621397569717283573729566131102770316578236518194244878209286221978704631056849900725847433665226760592872602844773015757510005235978485427987354245400031115399882440886726736778836669825027191276575385510826059273689591368336333611998200755474938179199988693656527488201466795751460156867293760482298422840782908386651002123717383314718749451010178156378454643138545136398883230637741642370241792467774539386453249232194607254681025462070554905404324053545112982418871211350519921772353002288434714322204971881480827441504971882444683506539440649145670656276702418803649041421273983349930955162530803658297473389645296474839751085284491694088731798536374184628268841262848397544990276370860532964855434323089191205486742853192077636937175919126484558583057084115234919894328843992375188870598198161997613603153373272569142098403361588550803632087703173282990535291561925981980499854765947770265729090913892860146888232770156276684703862729231115500871735920648250171681838259605529736624208401693929422325618011462494840048977514337775576491879871466810839611600262517200865024813475230296143600248234575378427920340697258474384539620005398464013464485816684482790561900909460436258698482719626619849394555663588588486643937226545942117055085660774019988314718106231470677514529919703596774786461355440542739491143848001217066872161437764793675028294278767575444574892738749456430940408993020901076029464560016104004952059416585985309275559064092398702211877799976633757764766152339870991365417540705433323961219156156171452272808620912454782944242809665061279932945854921439521976054259111357872566092834455434847088125980888743831384843377669347806654671543049872437602321190519694829465606705025172897104308141310124579910796957462841482506684908942356795304531957813912263668236706343057571487836197282416879344267266686944811792806514677475847865639410176375210920345478289166225846915944135578266450095600209779920456397118601109977727949355137211894785699629335040065383112172818068940352313629527278980036110114602319823403089467648645448688817587207547034265363247869762559875409928980002770909821986563140959161229466438502558148380097960708027689294653212638012782666901073195359123159942118144001252304424250609890414265363205365544065541862394414394817099764194007705756469704496309723192907880042576168978548833370614052692500324425891335804227682203920980441975638357298746350186719677416818001466875773439698904173839627058567837345853389604785803443844130414237843701184797824642372614243599679394925163815360175611999337805357552762557350812898045571155597517677767500395316467831575072724331540562125135724856015763017997504809459454268740208670100599131853521426098426235160966307563261234947527277287748889890190397681178238896733646154782058230976658876644730937275003519202420407205350178087493284212690689097328538448967894201300217710326919491798359640639353123906740109583090755264650317852880029494342872439101661416948857302216510640685255813095582256779744715759329140886059007265696706489977720094205593037020028846417354385534360321745657967308820206296717428586307484304898417580059824878074357902232161213776997259728786658862797930476612894041160084776431555039719150369178670293183581843607131757313960530886380736023153834699305269513294428427176176717642840733640417172738195027795510014203681157955270536153480853772253668475781113059339998259216112240033345053314528896528769310191999818944670969691954715787758339205605126017872148416551798530183128879160113913799629462927374313065261711832615153155896777992406478525494420406206495128799445422401667559820375812321992127522883939595384618043454493365058449452326396194502866311573356953267331842405536771470918684868506477868252423910008359425465109387807948357469148507490144844509069366547202458362233604546512101722578243937972615057204912467442627970529872145185752747084122968161015824514040979584757618692832642}
30291  680248698055013087284010573712692852300652427989370140371069054001539629216013437301298: {1543821,1725333,2572865,2632533,2754661,3087438,3662549,3935230,4263981,4661734,4722276,5508958,6564901,6659620,7473973,7869940,7991544,8990487,9102541,9146661,9322852,9378430,9443928,9688101,9743398,10624419,10921333,11254116,11491341,11866232,12282718,12534245,12648262,12905221,13003630,13318360,13349511,13374478,13437665,13472133,13652061,13919140,14545921,14983155,15041094,15437821,15604356,15892275,15982032,16125198,16168533,16702968,16951760,17245581,17358334,17546740,17783781,17811949,17963133,17979786,18091294,18436030,18790839,18919375,19070730,19543438,20342112,20496973,20650533,21056088,21723981,21760501,22054030,22123236,22247715,22452065,22633732,22703250,22884876,23688099,23730896,24216800,24616174,24797620,24939141,24964198,25149365,26047745,26313781,26464836,26485375,26697258,26942478,27243900,27569861,29060160,29281390,29637665,29757144,30029734,30179238,30616036,30997504,31086430,31257294,31782450,31850581,31874014,32195576,32692680,32943021,33325582,33404518,33476787,33901280,34116965,34665781,34872192,34972468,35014549,35137668,35565198,35663140,35906165,36220023,36455021,36661533,36779265,37303716,37722021,37836250,38058241,38138940,38140501,38587265,39231216,40652941,40681536,40910168,40940358,41647294,42675934,42749473,42795768,42899620,43087398,43119075,44135118,44531014,44594133,45403500,45500830,45766728,45993680,46023939,46304718,47720740,47727358,48065701,48145239,48430400,48804981,49311701,50905221,51479544,51487569,51677333,51742890,53718965,53978278,54012315,54461173,54484200,54486430,54600996,54921021,55095333,55192416,55317581,56934661,57264888,57325294,57533181,57613136,57914487,57939281,58075630,58116480,58201181,58576533,59040733,59635252,59779928,59781094,60139941,60965620,61294725,61990912,62024638,62091468,62221461,62571365,62657614,62659352,62857438,63216989,63780333,63989956,64300375,64406254,64422999,64462758,64814778,64858558,64905555,65381040,65383716,65618081,66546861,66705173,66984065,67064901,67252419,67410141,67733062,68181940,68313181,68731558,69232592,69627365,69651861,69690756,69739776,69852718,70177828,70189073,70480036,70491771,70644973,70818241,72345262,72923998,73060995,73158744,73553670,73913269,74226221,74833573,75085638,75438118,75838533,76856773,76888119,76896838,77010461,77160450,77380341,77886666,77931728,78236061,78457248,79180501,79581253,80380878,80463334,81300478,81335230,81518881,81818328,82303587,82304480,82846581,82910069,83552838,83670245,83766478,83918775,83930158,84544865,85910541,86951461,86977375,87099981,87673194,88006261,88034854,88264404,88341569,88802549,88829734,89475333,89513360,89796340,90478381,90802781,91528865,91533475,91660174,92045619,92165062,92592540,93247573,93844198,94843155,95209798,95224461,96067581,96374915,96592708,96751745,97012036,97078533,97496984,97602276,98187940,98765376,...,311393042210218405164991595960521704065219176586373148858340223724372182140061285360929612707503556887947214286610336409859750303119041214021751359341180935072323952606657174004379325567728398045637479247208765425402729750641424728939395242643873879675739771217047632353542097359643021116045445579602448126601676138723315853522062440980274350908828784746160204724089062217393549787016086133205685156731308077878909207154213445623331173078743398705805262325378421440594808479290211809840540154356826869385026008169433461941545954252883046535674529854100847999258121393820348132885213935283241279035883969481161644196697246118434057739867924585776901777871018085392718909471514414050982900329988082366254777450811484656510337965390194536806885483925691753442814939513724896657588772312295749748736557546602148058309591445488456278010620040563119640441954250063010860335525016086857679189077915805754650729247880432096354575925360594349196654155474867354777291367317313929332968056946585274851088771150497840140889308904267159523636265007853967728141981031368100046673099823661330090105168255004737540786914863078266239088910534387052504500417997301133212407268799983040484791232302200193627190235300940640723447634261174362579976503185576074972078124176515267234567681964707817704598324845956612463555362688701661809079679873848291910882021538193105832358106486080317669473628306817025779882658529503432652071483307457822221241162257457823667025259809160973718505984415053628205473562131910975024896432743796205487446210084467944712259626627926737541133097697804561276942403261894272596317485414556290799447283151484633786808230114279788116455405763878689726837874585626172852379841493265988562783305897297242996420404730059908853713147605042382826205448131554759924485802937342888972970749782148921655398593636370839290220332349155234415027055794093846673251307603880972375257522757389408294604936312602540894133488427017193742260073466271506663364737819807200216259417400393775801297537220212845444215400372351863067641880511045887711576809430008097696020196728725026724185842851364190654388047724079439929774091833495382882729965905839818913175582628491161029982472077159347206016271794879555395162179692033160814109236715772001825600308242156647190512542441418151363166862339108124184646410613489531351614044196840024156007428089124878977963913338596138598053317816699964950636647149228509806487048126311058149985941828734234257178409212931368682174416364214497591919899418782382159282964081388667036808849139251683152270632188971333115747077265066504021709982007314574808656403481785779542244198410057537759345656462211965186869866195436194262223760027363413535192956797936720868395502355059514586357231754295923625319016400900030417217689209772016213771798459115264562816380518217433749338770373916203367399675143400314669880684595677901664966591924032705817842178549444002560098074668259227103410528470444290918470054165171903479735104634201472968173033226380811320551398044871804643839813114893470004156364732979844711438741844199657753837222570146941062041533941979818957019174000351609793038684739913177216001878456636375914835621398044808048316098312793591621592225649646291011558634704556744464584789361820063864253467823250055921079038750486638837003706341523305881470662963457535948119525280079516125227002200313660159548356260759440587851756018780084407178705165766195621356765551777196736963558921365399519092387745723040263417999006708036329143836026219347068356733396276516651250592974701747362609086497310843187703587284023644526996257214189181403110313005150898697780282139147639352741449461344891852421290915931623334835285596521767358345100469232173087346464988314967096405912505278803630610808025267131239926319036033645992807673451841301950326565490379237697539460959029685860110164374636132896975476779320044241514308658652492125423285953324765961027883719643373385169617073638993711329088510898545059734966580141308389555530043269626031578301540482618486950963230309445076142879461226457347626370089737317111536853348241820665495889593179988294196895714919341061740127164647332559578725553768005439775372765410697635970940796329571104034730752048957904269941642640764265076464261100460625759107292541693265021305521736932905804230221280658380502713671669589009997388824168360050017579971793344793153965287999728417006454537932073681637508808407689026808222624827697795274693318740170870699444194391061469597892567748922729733845166988609717788241630609309742693199168133602501339730563718482988191284325909393076927065181740047587674178489594291754299467360035429900997763608305157206378027302759716802378635865012539138197664081711922536203722761235217266763604049820803687543350406819768152583867365906958922585807368701163941955794808217778629120626184452241523736771061469377136428039248963}
30292  682353044287048558749534824795479452094708498939139183474413673145120065779153414475808: {696187,1150298,1876058,2058428,2238722,2300444,2688067,3510044,3951091,4049882,4116584,4631157,4773338,5210587,5390227,5685308,5902845,6218522,6296368,6579458,6992601,7003747,7083414,7897627,8263437,8324525,8433091,9101978,9461762,9837425,9989430,10382953,10655392,10899458,11617442,11653565,11804910,11976218,11987316,12195548,12516787,12591904,12917468,13984278,14067645,14165892,14615097,14832790,14983867,15005488,15321788,16627202,16647950,16881174,16912387,17398925,17799348,17962844,18202748,18409562,18424077,18972393,19505445,19528147,19832858,19977540,20054792,20061717,20764534,20805808,20878710,21189700,21262987,21309376,21500264,21558044,21933425,22270624,22318082,22473091,22561641,22994108,23406534,23711708,23851747,23950844,23973048,24187797,24442658,24711067,25054452,25397227,25427640,25911091,26037501,26209178,26320110,26969679,27122816,27136941,27267362,27278227,27534044,27654045,27960067,28074784,28171129,28292165,28606095,28965308,29028122,29315157,29497648,29663620,30271000,30513168,30675907,30997025,31014091,31584132,31858291,33081045,33184854,33252188,33877027,33950598,34054875,34327314,35286448,35596344,35718427,35796397,35923304,36035162,36325200,36552547,36732698,36924261,37196430,37218547,37446297,38270045,38746880,39169538,39676192,39697254,40045887,40238984,40244470,40274729,40413717,40865850,40905818,41354947,41676392,41945858,42376600,43160707,43590240,43715585,43922085,43924028,44578925,44635716,45044601,45268857,45924054,46496256,46629645,46850224,46885941,47420264,47673675,47811021,48293364,48882044,49039020,49170691,49492747,49738288,49988373,50106777,50219522,50296028,50411494,50851920,51137710,52307437,52308288,52458702,52706502,53300762,53347797,53494710,53624525,53653267,54242048,54587144,54826933,55873387,55955574,56662867,56754375,57061024,57208410,57449864,57492100,58236427,58707091,58846824,59458844,59490091,59650925,59767298,59959027,60271291,60538000,60578518,60783578,61022304,61365252,61410537,61739624,62230421,62470941,62474498,63687187,64013901,64193652,64349430,64612747,64631097,65073308,65172482,65382067,65509082,65689291,66202677,66465841,66796521,66915307,67189922,67873628,67984291,68105250,68190262,68251245,68639392,68650092,68990520,69457077,70540802,70565707,70716907,71543258,71581110,71591037,71773291,72016420,72645600,72801328,73228028,73460444,73589888,74544065,74724910,74772091,75517291,75814867,76207025,76353184,76710908,77219316,77488640,77614335,78037507,78102044,78324190,78480091,79846658,79987445,80186588,80967417,80975827,81726300,81729645,81901494,82143091,82155482,82788624,82961948,83471642,83800322,85040444,85227425,85309861,85441562,85897332,85950344,85987941,86419704,86540740,87113445,87174720,87178288,87722285,88060058,88100045,88520278,88729148,89049907,89419868,89452878,89669892,89671641,89880188,90017882,90669338,90750691,91174267,91448430,91738027,92869148,92921008,92944898,92986368,93036957,93137202,93269402,93562291,93602782,93986421,93989028,94286157,94539547,95213402,95536898,95652091,95929507,95984934,96609381,96621787,96694137,96829442,97152218,97222167,97287837,97414660,97450147,97544992,98071560,98075574,98413291,98824987,99182713,99407618,...,415190722946957873553322127947362272086958902115164198477786964965829576186748380481239483610004742517262952382147115213146333737492054952029001812454907913429765270142209565339172434090304530727516638996278353900536973000855232971919193656858498506234319694956063509804722796479524028154727260772803264168802234851631087804696083254640365801211771712994880272965452082956524733049354781510940913542308410770505212276205617927497774897438324531607740349767171228587459744639053615746454053539142435825846701344225911282588727939003844062047566039805467797332344161858427130843846951913710988372047845292641548858928929661491245410319823899447702535703828024113856958545962019218734643867106650776488339703267748646208680450620520259382409180645234255671257086586018299862210118363083060999664982076728802864077746121927317941704014160054084159520589272333417347813780700021449143572252103887741006200972330507242795139434567147459132262205540633156473036388489756418572443957409262113699801451694867330453521185745205689546031515020010471956970855974708490800062230799764881773453473557673339650054382553150771021652118547379182736672667223996401510949876358399977387313054976402933591502920313734587520964596845681565816773302004247434766629437498902020356312756909286277090272797766461275483284740483584935549078772906498464389214509362050924141109810808648107090225964837742422701039843544706004576869428644409943762961654883009943764889367013078881298291341312553404837607298082842547966699861910325061607316594946779290592949679502170568983388177463597072748369256537682525696795089980552741721065929710868646178382410973485706384155273874351838252969117166114168230469839788657687984750377741196396323995227206306746545138284196806723177101607264175406346565981070583123851963960999709531895540531458181827785720293776465540312553369407725458462231001743471841296500343363676519211059473248416803387858844651236022924989680097955028675551152983759742933621679223200525034401730049626950460592287200496469150756855840681394516948769079240010796928026928971633368965581123801818920872517396965439253239698789111327177176973287874453091884234110171321548039976629436212462941355029059839407193549572922710881085478982287696002434133744322875529587350056588557535150889149785477498912861880817986041802152058929120032208009904118833171970618551118128184797404423755599953267515529532304679741982730835081410866647922438312312342904545617241824909565888485619330122559865891709842879043952108518222715745132185668910869694176251961777487662769686755338695613309343086099744875204642381039389658931213410050345794208616282620249159821593914925682965013369817884713590609063915627824527336473412686115142975672394564833758688534533373889623585613029354951695731278820352750421840690956578332451693831888271156532900191200419559840912794237202219955455898710274423789571399258670080130766224345636137880704627259054557960072220229204639646806178935297290897377635174415094068530726495739525119750819857960005541819643973126281918322458932877005116296760195921416055378589306425276025565333802146390718246319884236288002504608848501219780828530726410731088131083724788828789634199528388015411512939408992619446385815760085152337957097666741228105385000648851782671608455364407841960883951276714597492700373439354833636002933751546879397808347679254117135674691706779209571606887688260828475687402369595649284745228487199358789850327630720351223998675610715105525114701625796091142311195035355535000790632935663150145448663081124250271449712031526035995009618918908537480417340201198263707042852196852470321932615126522469895054554575497779780380795362356477793467292309564116461953317753289461874550007038404840814410700356174986568425381378194657076897935788402600435420653838983596719281278706247813480219166181510529300635705760058988685744878203322833897714604433021281370511626191164513559489431518658281772118014531393412979955440188411186074040057692834708771068720643491315934617640412593434857172614968609796835160119649756148715804464322427553994519457573317725595860953225788082320169552863110079438300738357340586367163687214263514627921061772761472046307669398610539026588856854352353435285681467280834345476390055591020028407362315910541072306961707544507336951562226118679996518432224480066690106629057793057538620383999637889341939383909431575516678411210252035744296833103597060366257758320227827599258925854748626130523423665230306311793555984812957050988840812412990257598890844803335119640751624643984255045767879190769236086908986730116898904652792389005732623146713906534663684811073542941837369737012955736504847820016718850930218775615896714938297014980289689018138733094404916724467209093024203445156487875945230114409824934885255941059744290371505494168245936322031649028081959169515237385665284}
30293  684463862534937499204997374637449243386700325915658915924782200644609061053632958225833: {30293,1725447,2573035,2814087,2875555,3087642,3358083,3450666,3602011,3662791,4328467,4387555,5145730,5265066,5509322,6074823,6174876,7106635,7160007,7325098,7655527,7870460,8527962,8744851,9323468,9327783,9444552,9650707,9869187,10625121,11017916,11828923,13129802,13319240,13638691,13652967,14192643,14947946,14984145,15244435,15739880,15983088,16146835,16349187,17426163,17547943,17707365,17964327,17980974,18205082,18293322,18645704,18756860,18812731,18887856,19152235,19376202,19486796,19614727,20170747,20976417,21248838,21842666,22249185,22453555,22508232,22753435,22982682,23594791,23732464,24565436,24940803,24971925,25068490,25296524,25321761,25810442,26007260,26246407,26487125,26636720,26699022,26748956,26875330,26944266,26947555,27230923,27304122,27614343,27838280,28742635,29091842,29639635,29749287,29938555,29966310,30082188,30875642,31146801,31208712,31318065,31432891,31784550,31964064,32250396,32337066,32582563,32671063,33405936,33477123,33531091,33903520,34417555,34491162,34716668,35093480,35109801,35209111,35567562,35623898,35926266,35935147,35959572,36182588,36206635,36466843,36663987,36872060,37079525,37481923,37500067,37581678,37838750,38141460,39086876,39313767,39480165,40554571,40684224,40743847,40901043,40993946,40996327,41301066,41492731,41565235,42112176,43447962,43521002,43542183,44108060,44246472,44495430,44904130,45267464,45406500,45672931,45769752,46434307,46542823,47376198,47461792,47763751,48433600,49232348,49387987,49595240,49777281,49878282,49928396,50268631,50298730,50700763,50784691,50925897,51490971,52095490,52627562,52929672,52970750,53394516,53429107,53884956,54003367,54022171,54052743,54487800,54877411,54905035,55099047,55139722,55241287,55794645,57297427,57626983,58120320,58562780,58672771,58754307,59228083,59272807,59275330,59514288,59545881,60059468,60358476,60366705,61040263,61102555,61232072,61298775,61358727,61780507,61995008,62172860,62514588,62870035,62918787,63221191,63564900,63701162,63748028,63878947,64391152,64755667,65375323,65385360,65886042,65920051,66651164,66809036,66953574,67802560,68233930,68818963,68886081,69331562,69744384,69794791,69944936,70029098,70082587,70193731,70275336,71130396,71213731,71326280,71812330,71865125,72440046,72645667,72910042,73323066,73558530,73734727,74323555,74607432,74710987,75206551,75329283,75444042,75613627,75617241,75672500,76116482,76277880,76281002,76706565,77174530,78446611,78462432,78688053,79059753,79951143,80242065,80387611,81305882,81341635,81363072,81820336,81880716,83294588,83443123,83708551,83933361,84795283,84842035,85351868,85479451,85498946,85591536,85799240,85812615,86174796,86238150,87599911,87856891,88270236,88532923,88808467,89062028,89188266,89462791,89650947,90020525,90090907,90807000,90808807,90867777,91001660,91012363,91175367,91533456,91535035,91585171,91825555,91987360,92047878,92609436,93711747,93777691,94375987,94434091,94949083,95441480,95454716,95888635,96131402,96290478,96524145,96654547,96860800,97478311,97609962,97627555,97758723,97984627,98263623,98623402,...,622786084420436810329983191921043408130438353172746297716680447448744364280122570721859225415007113775894428573220672819719500606238082428043502718682361870144647905213314348008758651135456796091274958494417530850805459501282849457878790485287747759351479542434095264707084194719286042232090891159204896253203352277446631707044124881960548701817657569492320409448178124434787099574032172266411370313462616155757818414308426891246662346157486797411610524650756842881189616958580423619681080308713653738770052016338866923883091908505766093071349059708201695998516242787640696265770427870566482558071767938962323288393394492236868115479735849171553803555742036170785437818943028828101965800659976164732509554901622969313020675930780389073613770967851383506885629879027449793315177544624591499497473115093204296116619182890976912556021240081126239280883908500126021720671050032173715358378155831611509301458495760864192709151850721188698393308310949734709554582734634627858665936113893170549702177542300995680281778617808534319047272530015707935456283962062736200093346199647322660180210336510009475081573829726156532478177821068774105009000835994602266424814537599966080969582464604400387254380470601881281446895268522348725159953006371152149944156248353030534469135363929415635409196649691913224927110725377403323618159359747696583821764043076386211664716212972160635338947256613634051559765317059006865304142966614915644442482324514915647334050519618321947437011968830107256410947124263821950049792865487592410974892420168935889424519253255853475082266195395609122553884806523788545192634970829112581598894566302969267573616460228559576232910811527757379453675749171252345704759682986531977125566611794594485992840809460119817707426295210084765652410896263109519848971605874685777945941499564297843310797187272741678580440664698310468830054111588187693346502615207761944750515045514778816589209872625205081788266976854034387484520146932543013326729475639614400432518834800787551602595074440425690888430800744703726135283761022091775423153618860016195392040393457450053448371685702728381308776095448158879859548183666990765765459931811679637826351165256982322059964944154318694412032543589759110790324359384066321628218473431544003651200616484313294381025084882836302726333724678216248369292821226979062703228088393680048312014856178249757955927826677192277196106635633399929901273294298457019612974096252622116299971883657468468514356818425862737364348832728428995183839798837564764318565928162777334073617698278503366304541264377942666231494154530133008043419964014629149617312806963571559084488396820115075518691312924423930373739732390872388524447520054726827070385913595873441736791004710119029172714463508591847250638032801800060834435378419544032427543596918230529125632761036434867498677540747832406734799350286800629339761369191355803329933183848065411635684357098888005120196149336518454206821056940888581836940108330343806959470209268402945936346066452761622641102796089743609287679626229786940008312729465959689422877483688399315507674445140293882124083067883959637914038348000703219586077369479826354432003756913272751829671242796089616096632196625587183243184451299292582023117269409113488929169578723640127728506935646500111842158077500973277674007412683046611762941325926915071896239050560159032250454004400627320319096712521518881175703512037560168814357410331532391242713531103554393473927117842730799038184775491446080526835998013416072658287672052438694136713466792553033302501185949403494725218172994621686375407174568047289053992514428378362806220626010301797395560564278295278705482898922689783704842581831863246669670571193043534716690200938464346174692929976629934192811825010557607261221616050534262479852638072067291985615346903682603900653130980758475395078921918059371720220328749272265793950953558640088483028617317304984250846571906649531922055767439286746770339234147277987422658177021797090119469933160282616779111060086539252063156603080965236973901926460618890152285758922452914695252740179474634223073706696483641330991779186359976588393791429838682123480254329294665119157451107536010879550745530821395271941881592659142208069461504097915808539883285281528530152928522200921251518214585083386530042611043473865811608460442561316761005427343339178019994777648336720100035159943586689586307930575999456834012909075864147363275017616815378053616445249655395590549386637480341741398888388782122939195785135497845459467690333977219435576483261218619485386398336267205002679461127436965976382568651818786153854130363480095175348356979188583508598934720070859801995527216610314412756054605519433604757271730025078276395328163423845072407445522470434533527208099641607375086700813639536305167734731813917845171614737402327883911589616435557258241252368904483047473542122938754272856078497926}
30294  686581172588088498044281844465668371644829459935112720695211775279337740563425554387432: {696233,1240373,1392374,1602773,2145833,2300596,2507513,2929109,3230009,3410453,3752116,4116856,4477444,4600888,4631463,4731509,5175999,5376134,5450453,5749673,5929109,6705833,7020088,7718595,7897599,7902182,8099764,8233168,8263983,8433653,8493113,9262314,9324713,9546676,9838075,10391609,10421174,10780454,10983209,10987647,11160533,11370616,11654335,11805690,12437044,12576533,12592736,12791943,12870953,13158916,13223993,13635509,13753013,13772395,13985202,14007494,14166828,14633273,15795254,16096373,16314991,16526874,16649050,16866182,16971833,17146709,18203956,18717353,18923524,19355573,19587413,19674850,19694703,19978860,20224313,20765906,21310784,21495209,21798916,22359509,22421919,23234884,23307130,23446075,23609820,23910713,23952436,23974632,24197333,24358495,24391096,25033574,25183808,25227509,25834936,25969913,26654009,26767913,26971461,27307623,27439983,27791609,27968556,28135290,28331784,28359209,28812713,29039273,29064303,29209109,29230194,29665580,29967734,30010976,30643576,30706795,30734393,31072553,31620655,31748009,31873257,31916693,32197673,32509075,32763999,33254404,33295900,33436195,33762348,33824774,33879353,34103033,34474023,34717493,34797850,35386709,35598696,35776553,35925688,36405496,36819124,36848154,37054709,37602735,37944786,38715663,39010890,39056294,39377813,39543209,39609031,39665716,39708533,39955080,40048533,40109584,40123434,40312995,40416399,40956183,41083433,41193209,41529068,41611616,41757420,41851193,42379400,42525974,42618752,42672053,42836009,43000528,43116088,43395835,43637763,43818233,43866850,44362793,44541248,44636164,44946182,44949465,45123282,45123833,45228235,45449513,45829109,45988216,46090075,46100009,46313463,46813068,46911509,47423416,47597407,47613353,47676825,47703494,47721209,47901688,47946096,48375594,48505599,48529109,48858595,48885316,49174133,49227833,49422134,49871609,50032373,50108904,50674709,50794454,50855280,51315893,51736743,51822182,52075002,52115753,52418356,52541609,52640220,52913813,53351343,53435847,53578063,53889399,53939358,53975093,54134009,54245632,54273882,54534724,54556454,55068088,55135075,55308090,55920134,56149568,56246009,56342258,56372517,56509109,56584330,56758125,56877113,57034709,57212190,57930616,58056244,58630314,58763513,58995296,59327240,59494313,59546453,60015353,60327593,60542000,61026336,61201819,61351814,61490919,61540435,61951599,61988009,61994050,62028182,62143253,62410495,62763509,62918393,63168264,63537209,63716582,64206293,64309109,64668713,65171943,65233013,65281503,65437973,65591609,65693993,66162090,66358709,66369708,66504376,66743145,66767093,67225913,67356195,67754054,67901196,68109750,68141609,68649209,68654628,68902709,69551647,69560873,70015733,70268153,70570793,70572896,70772393,70923509,71064297,71192688,71436854,71592794,71828693,71846608,72070324,72530933,72650400,73105094,73181609,73203475,73465396,73545043,73581353,73848522,73930709,74080313,74392860,74437094,74777513,74817423,74827253,74892594,75074335,75448095,75820373,76167209,76540090,77493760,77716075,77895509,78143235,78339076,78387509,78941343,79124009,79352384,79369109,79394508,79456125,79685035,80091774,80103209,80477968,80488940,80549458,80827434,80835509,81731700,81811636,82149113,82440233,82709583,82709894,82876373,83313955,83352784,83511295,83891513,83891716,84753200,85911209,86321414,86390009,86485673,86772473,87106709,87180480,87202133,87431170,87844170,87848056,87916793,88912995,89103893,89157850,89246009,89271432,89388053,90089202,90097193,90191609,90537714,90804533,91228073,91744853,91848108,92213813,92869013,92992512,93259290,93700448,93771882,94035113,94174709,94590625,94840528,95103509,95347350,95427833,95551743,95622042,95659253,95705513,95936693,96260009,96398453,96586728,97764088,98078040,98329109,98341382,98829063,98985494,99152213,99476576,99976746,...,934179126630655215494974787881565112195657529759119446575020671173116546420183856082788838122510670663841642859831009229579250909357123642065254078023542805216971857819971522013137976703185194136912437741626296276208189251924274186818185727931621639027219313651142897060626292078929063348136336738807344379805028416169947560566187322940823052726486354238480614172267186652180649361048258399617055470193924233636727621462640336869993519236230196117415786976135264321784425437870635429521620463070480608155078024508300385824637862758649139607023589562302543997774364181461044398655641805849723837107651908443484932590091738355302173219603773757330705333613054256178156728414543242152948700989964247098764332352434453969531013896170583610420656451777075260328444818541174689972766316936887249246209672639806444174928774336465368834031860121689358921325862750189032581006575048260573037567233747417263952187743641296289063727776081783047589962466424602064331874101951941787998904170839755824553266313451493520422667926712801478570908795023561903184425943094104300140019299470983990270315504765014212622360744589234798717266731603161157513501253991903399637221806399949121454373696906600580881570705902821922170342902783523087739929509556728224916234372529545801703703045894123453113794974537869837390666088066104985427239039621544875732646064614579317497074319458240953008420884920451077339647975588510297956214449922373466663723486772373471001075779427482921155517953245160884616420686395732925074689298231388616462338630253403834136778879883780212623399293093413683830827209785682817788952456243668872398341849454453901360424690342839364349366217291636069180513623756878518557139524479797965688349917691891728989261214190179726561139442815127148478616344394664279773457408812028666918912249346446764966195780909112517870660997047465703245081167382281540019753922811642917125772568272168224883814808937807622682400465281051581226780220398814519990094213459421600648778252201181327403892611660638536332646201117055589202925641533137663134730428290024293088060590186175080172557528554092571963164143172238319789322275500486148648189897717519456739526747885473483089947416231478041618048815384638666185486539076099482442327710147316005476800924726469941571537627324254454089500587017324372553939231840468594054842132590520072468022284267374636933891740015788415794159953450099894851909941447685529419461144378933174449957825486202702771535227638794106046523249092643492775759698256347146477848892244166001110426547417755049456811896566913999347241231795199512065129946021943724425969210445357338626732595230172613278036969386635895560609598586308582786671280082090240605578870393810162605186507065178543759071695262887770875957049202700091251653067629316048641315395377345793688449141554652301248016311121748610102199025430200944009642053787033704994899775772098117453526535648332007680294224004777681310231585411332872755410162495515710439205313902604418904519099679142433961654194134615413931519439344680410012469094198939534134316225532598973261511667710440823186124601825939456871057522001054829379116054219739531648005635369909127744506864194134424144948294938380774864776676948938873034675904113670233393754368085460191592760403469750167763237116251459916511011119024569917644411988890372607844358575840238548375681006600940980478645068782278321763555268056340253221536115497298586864070296655331590210890676764096198557277163237169120790253997020124108987431508078658041205070200188829549953751778924105242087827259491932529563110761852070933580988771642567544209330939015452696093340846417442918058224348384034675557263872747794870004505856789565302075035301407696519262039394964944901289217737515836410891832424075801393719778957108100937978423020355523905850979696471137713092618382877089057580330493123908398690926430337960132724542925975957476376269857859974297883083651158930120155508851220916981133987265532695635179204899740423925168666590129808878094734904621447855460852889690928335228428638383679372042879110269211951334610560044725461996487668779539964882590687144758023185220381493941997678736176661304016319326118296232092907912822388988713312104192256146873712809824927922292795229392783301381877277321877625079795063916565210798717412690663841975141508141015008767029992166472505080150052739915380034379461895863999185251019363613796221044912526425223067080424667874483093385824079956220512612098332583173184408793677703246768189201535500965829153364724891827929228079597504400807504019191691155448964573852977728179230781195545220142763022535468782875262898402080106289702993290824915471619134081908279150407135907595037617414592992245135767608611168283705651800290812149462411062630051220459304457751602097720876767757422106103491825867384424653335887361878553356724571210313184408131409284117746889}
30295  688704994296068362950996837271108645804771976305036258987148746897228187645736124301043: {60586,2088561,2875745,3450894,3602249,4025777,4328753,4690145,5115461,5146070,5596805,5628174,5751110,6142577,6175284,6716166,6901332,7204022,7325582,8064201,8656934,8775110,9047441,9773657,9949289,10124705,10291460,10316273,10530132,11018644,11405381,11853273,11933345,12149646,12349752,13220561,13893471,14213270,14303993,14320014,14650196,15311054,15546305,15631761,15740920,16118453,16170681,16448645,17055924,17489702,17708535,18646936,18655566,18889104,19021589,19301414,19738374,20279633,20977803,21011241,21250242,21342209,21561833,22035832,22605569,22754945,23181041,23654405,23657846,23692881,24259433,24790311,24973575,25299273,26259604,26638480,26813129,27248645,27277382,27305934,27884753,28385286,29043605,29512275,29895892,29940545,29968290,30434561,30488870,31018481,31148859,31434977,31479760,31854809,31966176,32209529,32293670,32698374,34195073,34410329,34852326,34960695,35095886,35414730,35928654,35961948,36410164,36586644,37081975,37291408,37513720,37550361,37625462,37688081,37726577,37775712,38304470,38413433,38752404,38973592,39229454,39627653,40239689,40341494,41495489,41568005,41619875,41891561,41913977,41952834,42202935,42386033,42497676,43685332,43845291,44318261,44498370,44907110,44951601,45016464,45325697,45506870,45965364,46023905,47189582,47464928,48184577,49130872,49582145,49636673,49768469,49881606,49943850,50050913,50136980,50593048,50643522,50689289,50737161,51046217,51620884,51911335,52014520,52196775,52492814,52536929,52974250,53261993,53273440,53398044,53497912,53750660,53888532,53895110,54461846,54608244,55228686,55272231,55676560,55795205,55903157,56917179,57113873,57485270,58183684,58191329,58367621,58516335,58584441,59279270,59498574,59877110,59932620,59935073,60164376,60185151,61106645,61333577,61751284,62293602,62417424,62636130,62719169,62865782,63569100,63788961,63822161,63883193,63928128,64500792,64674132,65165126,65342126,65522945,65800275,66811872,66954246,67062182,67419273,67684923,67715141,67807040,68154629,68168405,68835110,68982324,69158417,69433336,70049681,70186960,70219602,70418222,71135124,71218457,71247796,71470361,71555241,71852532,71870294,71919144,72365176,72413270,72563391,72570305,72933686,73327974,73744120,74133201,74159050,74715953,74963846,75000134,75163356,75493301,75677500,76191681,76282920,76867049,77655713,77733273,78112503,78173752,78451817,78627534,78960330,79301249,79591817,80909037,81109142,81368448,81410823,81487694,81802086,81834681,81987892,81992654,82484753,82602132,82923689,82962135,82985462,83130470,83880201,84224352,84513387,84865397,84876495,85543577,85818285,86546129,86895924,87042004,87084366,87141041,87945471,88018049,88216120,88492944,88990860,89468753,89808260,89844977,90087905,90331733,90534928,90813000,91345862,91539504,91831745,92027721,92142593,92608469,92868614,92991075,93042273,93085646,93259961,94752396,94923584,95039969,95527502,95535857,95574873,96304073,96335201,96867200,97575173,97923845,98464696,98775974,98948561,99190480,99243135,99346517,99554562,99756564,99856792,...,1245572168840873620659966383842086816260876706345492595433360894897488728560245141443718450830014227551788857146441345639439001212476164856087005437364723740289295810426628696017517302270913592182549916988835061701610919002565698915757580970575495518702959084868190529414168389438572084464181782318409792506406704554893263414088249763921097403635315138984640818896356248869574199148064344532822740626925232311515636828616853782493324692314973594823221049301513685762379233917160847239362160617427307477540104032677733847766183817011532186142698119416403391997032485575281392531540855741132965116143535877924646576786788984473736230959471698343107607111484072341570875637886057656203931601319952329465019109803245938626041351861560778147227541935702767013771259758054899586630355089249182998994946230186408592233238365781953825112042480162252478561767817000252043441342100064347430716756311663223018602916991521728385418303701442377396786616621899469419109165469269255717331872227786341099404355084601991360563557235617068638094545060031415870912567924125472400186692399294645320360420673020018950163147659452313064956355642137548210018001671989204532849629075199932161939164929208800774508760941203762562893790537044697450319906012742304299888312496706061068938270727858831270818393299383826449854221450754806647236318719495393167643528086152772423329432425944321270677894513227268103119530634118013730608285933229831288884964649029831294668101039236643894874023937660214512821894248527643900099585730975184821949784840337871778849038506511706950164532390791218245107769613047577090385269941658225163197789132605938535147232920457119152465821623055514758907351498342504691409519365973063954251133223589188971985681618920239635414852590420169531304821792526219039697943211749371555891882999128595686621594374545483357160881329396620937660108223176375386693005230415523889501030091029557633178419745250410163576533953708068774969040293865086026653458951279228800865037669601575103205190148880851381776861601489407452270567522044183550846307237720032390784080786914900106896743371405456762617552190896317759719096367333981531530919863623359275652702330513964644119929888308637388824065087179518221580648718768132643256436946863088007302401232968626588762050169765672605452667449356432496738585642453958125406456176787360096624029712356499515911855653354384554392213271266799859802546588596914039225948192505244232599943767314936937028713636851725474728697665456857990367679597675129528637131856325554668147235396557006732609082528755885332462988309060266016086839928029258299234625613927143118168976793640230151037382625848847860747479464781744777048895040109453654140771827191746883473582009420238058345428927017183694501276065603600121668870756839088064855087193836461058251265522072869734997355081495664813469598700573601258679522738382711606659866367696130823271368714197776010240392298673036908413642113881777163673880216660687613918940418536805891872692132905523245282205592179487218575359252459573880016625458931919378845754967376798631015348890280587764248166135767919275828076696001406439172154738959652708864007513826545503659342485592179232193264393251174366486368902598585164046234538818226977858339157447280255457013871293000223684316155001946555348014825366093223525882651853830143792478101120318064500908008801254640638193425043037762351407024075120337628714820663064782485427062207108786947854235685461598076369550982892161053671996026832145316575344104877388273426933585106066605002371898806989450436345989243372750814349136094578107985028856756725612441252020603594791121128556590557410965797845379567409685163663726493339341142386087069433380401876928692349385859953259868385623650021115214522443232101068524959705276144134583971230693807365207801306261961516950790157843836118743440440657498544531587901907117280176966057234634609968501693143813299063844111534878573493540678468294555974845316354043594180238939866320565233558222120173078504126313206161930473947803852921237780304571517844905829390505480358949268446147413392967282661983558372719953176787582859677364246960508658589330238314902215072021759101491061642790543883763185318284416138923008195831617079766570563057060305857044401842503036429170166773060085222086947731623216920885122633522010854686678356039989555296673440200070319887173379172615861151998913668025818151728294726550035233630756107232890499310791181098773274960683482797776777564245878391570270995690918935380667954438871152966522437238970772796672534410005358922254873931952765137303637572307708260726960190350696713958377167017197869440141719603991054433220628825512109211038867209514543460050156552790656326847690144814891044940869067054416199283214750173401627279072610335469463627835690343229474804655767823179232871114516482504737808966094947084245877508545712156995852}
30296  690835347568783932563499794113437481143574187813477102346016945795248160546877427819996: {90879,1119583,1300879,1392466,2206279,2480746,2784748,3205546,3290383,3831463,4291666,4601192,4731823,4911679,5015026,5176341,5809879,5858218,5989303,6460018,6820906,7504232,7719105,8233712,8442261,8493679,8626665,8954888,9201776,9206623,9262926,9384679,9463018,10074249,10096183,10351998,10451503,10752268,10806033,10900906,10988373,11338543,11499346,11858218,12864325,12930679,12985401,13162665,13411666,13773305,13812679,14040176,15437190,15795198,15804364,16199528,16316069,16466336,16527966,16867306,16986226,18195679,18224469,18312745,18524628,18649426,19093352,19281353,19676150,20783218,20842348,20977183,21319905,21480021,21496663,21560908,21966418,21975294,22321066,22706263,22741232,22966581,23308670,23611380,24256279,24874088,25114879,25153066,25185472,25286383,25583886,25741906,26234553,26317832,26447986,26655823,27271018,27506026,27544790,27970404,27983349,28014988,28333656,28952121,29266546,29550583,29607561,31590508,31750183,31875363,32192746,32592943,32629982,32761279,32824505,32929543,33053748,33298100,33732364,33943666,34101893,34293418,35486769,35945983,36407912,37112743,37369865,37434706,37847048,38711146,39174826,39349700,39389406,39957720,40448626,40916073,40958901,41250943,41531812,41908879,42073183,42577929,42621568,42729679,42893623,42989513,42990418,43597832,44268917,44365879,44719018,44843838,44952435,45018343,45512705,45733305,46157383,46469768,46614260,46644463,46810673,46892150,47219640,47778463,47821426,47904872,47949264,48394666,48424879,48440505,48586303,48716990,48782192,49047561,49231279,49875103,50067148,50196583,50367616,50455018,50838679,51669872,51939826,52278489,52643829,53076943,53122095,53308018,53535826,53892981,53942922,54606665,54615246,54879966,55583218,55937112,56249983,56251481,56270580,56438193,56565703,56663568,56718418,57038743,57456705,57625426,58078546,58128606,58418218,58460388,58844181,59331160,59550679,59935468,60021952,60512241,60754169,61287152,61413590,61468786,62145106,62671225,62819623,62929251,63241310,63319529,63496018,63593263,63746514,63833386,64395346,64526105,65018150,65527998,66363463,66508808,66591800,66747555,66872390,67188325,67360665,67524696,67649548,67758706,68206066,68260305,68402033,68806279,68948046,69434986,69565879,69595700,70773418,70784373,70928623,71197392,71553106,71851376,72729605,72810992,73638248,73696308,74109418,74822409,74832679,74915775,75205470,75889572,75965283,76172743,77189105,77431326,78021780,78112588,78739221,78755626,79086418,79129783,79218062,79331432,79417066,79461375,79910160,80097066,80219168,80246868,80625990,80832798,80842665,81692769,81912366,82166866,82197401,82349263,82386418,82785583,82843029,83058136,83223232,83514840,83702386,84758800,85051948,85237504,85344106,85672018,85965463,86001056,86156609,86227905,86232176,86396383,86791670,86916869,87275526,87374693,87399343,87636466,87733700,87970879,88725586,88918905,89059745,89082496,89247861,89272328,89815665,89892364,89898930,90103879,90246564,90247666,90456470,90899026,91658218,91976432,92180150,92200018,92220679,92626926,92782423,92922679,93440403,93626136,93823018,93954195,94298673,94596875,94846832,95156983,95194814,95226706,95353650,95406988,95442418,95712679,95803376,95892192,96405679,96751188,97011198,97058218,97717190,97747689,97770632,98013189,98348266,98455666,98844268,99296623,99743218,...,1868358253261310430989949575763130224391315059518238893150041342346233092840367712165577676245021341327683285719662018459158501818714247284130508156047085610433943715639943044026275953406370388273824875483252592552416378503848548373636371455863243278054438627302285794121252584157858126696272673477614688759610056832339895121132374645881646105452972708476961228344534373304361298722096516799234110940387848467273455242925280673739987038472460392234831573952270528643568850875741270859043240926140961216310156049016600771649275725517298279214047179124605087995548728362922088797311283611699447674215303816886969865180183476710604346439207547514661410667226108512356313456829086484305897401979928494197528664704868907939062027792341167220841312903554150520656889637082349379945532633873774498492419345279612888349857548672930737668063720243378717842651725500378065162013150096521146075134467494834527904375487282592578127455552163566095179924932849204128663748203903883575997808341679511649106532626902987040845335853425602957141817590047123806368851886188208600280038598941967980540631009530028425244721489178469597434533463206322315027002507983806799274443612799898242908747393813201161763141411805643844340685805567046175479859019113456449832468745059091603407406091788246906227589949075739674781332176132209970854478079243089751465292129229158634994148638916481906016841769840902154679295951177020595912428899844746933327446973544746942002151558854965842311035906490321769232841372791465850149378596462777232924677260506807668273557759767560425246798586186827367661654419571365635577904912487337744796683698908907802720849380685678728698732434583272138361027247513757037114279048959595931376699835383783457978522428380359453122278885630254296957232688789328559546914817624057333837824498692893529932391561818225035741321994094931406490162334764563080039507845623285834251545136544336449767629617875615245364800930562103162453560440797629039980188426918843201297556504402362654807785223321277072665292402234111178405851283066275326269460856580048586176121180372350160345115057108185143926328286344476639578644551000972297296379795435038913479053495770946966179894832462956083236097630769277332370973078152198964884655420294632010953601849452939883143075254648508908179001174034648745107878463680937188109684265181040144936044568534749273867783480031576831588319906900199789703819882895371058838922288757866348899915650972405405543070455277588212093046498185286985551519396512694292955697784488332002220853094835510098913623793133827998694482463590399024130259892043887448851938420890714677253465190460345226556073938773271791121219197172617165573342560164180481211157740787620325210373014130357087518143390525775541751914098405400182503306135258632097282630790754691587376898283109304602496032622243497220204398050860401888019284107574067409989799551544196234907053071296664015360588448009555362620463170822665745510820324991031420878410627805208837809038199358284867923308388269230827863038878689360820024938188397879068268632451065197946523023335420881646372249203651878913742115044002109658758232108439479063296011270739818255489013728388268848289896589876761549729553353897877746069351808227340466787508736170920383185520806939500335526474232502919833022022238049139835288823977780745215688717151680477096751362013201881960957290137564556643527110536112680506443072230994597173728140593310663180421781353528192397114554326474338241580507994040248217974863016157316082410140400377659099907503557848210484175654518983865059126221523704141867161977543285135088418661878030905392186681692834885836116448696768069351114527745495589740009011713579130604150070602815393038524078789929889802578435475031672821783664848151602787439557914216201875956846040711047811701959392942275426185236765754178115160660986247816797381852860675920265449085851951914952752539715719948595766167302317860240311017702441833962267974531065391270358409799480847850337333180259617756189469809242895710921705779381856670456857276767358744085758220538423902669221120089450923992975337559079929765181374289516046370440762987883995357472353322608032638652236592464185815825644777977426624208384512293747425619649855844585590458785566602763754554643755250159590127833130421597434825381327683950283016282030017534059984332945010160300105479830760068758923791727998370502038727227592442089825052850446134160849335748966186771648159912441025224196665166346368817587355406493536378403071001931658306729449783655858456159195008801615008038383382310897929147705955456358461562391090440285526045070937565750525796804160212579405986581649830943238268163816558300814271815190075234829185984490271535217222336567411303600581624298924822125260102440918608915503204195441753535514844212206983651734768849306671774723757106713449142420626368816262818568235493778}
30297  692972252376664435423945874569581194673530385711937580590389494526860987081775645178575: {121172,2088699,3480935,3721119,4026043,4177122,4808319,5115799,5660303,5751490,6437499,6566203,6901788,7204498,7522539,7835527,8051554,8657506,8787327,9380290,9690027,10230922,10231359,10292140,10923499,11193610,11256348,11502220,12191959,12285154,12350568,13432332,13440335,13802664,13894389,14174587,14194527,14408044,14651164,15527997,16128402,16351359,16706683,16904719,17249019,17313868,17550220,17787327,18094882,19547314,19755455,19898578,20117499,20249410,20582920,20632546,21060264,21259423,21764827,22037288,22810762,23028103,23155785,23692797,23706546,23866690,23966839,24299292,24699504,24791949,25300959,25479339,26052935,26441122,26951135,27575339,27786942,27974139,28426540,28607986,28640028,28670239,29300392,29514225,29562863,30622108,31092610,31174827,31263522,31481840,31856923,32236906,32341362,32897290,32949627,32962941,33116167,33481599,34111848,34963005,34979404,35018735,35417070,37293872,37311132,37729599,37778208,38043178,38065807,38148103,38375829,38458603,38602828,38612859,39476748,39488135,39671979,40287259,40412359,40559266,40661047,40906527,41259039,41317185,41375287,41622625,41916763,41955606,42022482,42165455,42500484,42607967,42684418,43123666,43899819,44071664,45211138,45509890,46362082,47308810,47315692,47385762,48289119,48518866,48944973,49187125,49321499,49394543,49580622,49947150,50598546,50915499,51440127,51914765,52519208,53276960,53626258,54497290,54554764,54611868,55328603,55623583,55769506,55860139,56152059,56770572,57305039,58066719,58087210,58195207,58267825,58762239,59024550,59084109,59151079,59791784,59881090,59936580,60672939,60869122,60977740,62036962,62175623,62297718,62479999,62583935,62869954,62959520,63709618,63932352,64419058,64433467,64485627,64587340,65202863,65396748,65631119,66718427,67078527,67265757,68390146,68820658,69415003,69704652,69921390,70191772,70338225,70829460,70832359,71732139,71857308,71923896,72591999,72675869,72820328,73046543,73075485,73173288,73927963,74163950,74582816,74919335,75027440,75057323,75100722,75220727,75250924,75376162,75453154,75498319,75551424,75682527,76608940,76826866,77504808,77909739,77947184,78113287,78388439,78458908,78993563,79255306,79597099,79962027,80303739,80479378,80682988,80914383,81535087,81922869,82319949,82990978,83136010,83239750,83374827,83783122,83827954,83905668,84405870,84561935,84772066,84891983,84995352,85077627,85490807,85549303,86438139,86968747,86994625,87117819,87192909,87370664,87627327,87690582,88219063,88636522,88996740,89814220,89903202,90032928,90651394,90718183,91013740,91732123,91930728,92047810,92120385,92203179,93217659,93589583,94379164,94738159,94861965,94929856,94961687,95244027,95435767,95619771,95750079,96369154,96593019,97527225,97640735,97698983,98261744,98291997,99164290,99273346,99536938,99763212,99887700,...,2802537379891965646484924363644695336586972589277358339725062013519349639260551568248366514367532011991524928579493027688737752728071370926195762234070628415650915573459914566039413930109555582410737313224878888828624567755772822560454557183794864917081657940953428691181878876236787190044409010216422033139415085248509842681698561968822469158179459062715441842516801559956541948083144775198851166410581772700910182864387921010609980557708690588352247360928405792965353276313611906288564861389211441824465234073524901157473913588275947418821070768686907631993323092544383133195966925417549171511322955725330454797770275215065906519658811321271992116000839162768534470185243629726458846102969892741296292997057303361908593041688511750831261969355331225780985334455623524069918298950810661747738629017919419332524786323009396106502095580365068076763977588250567097743019725144781719112701701242251791856563230923888867191183328245349142769887399273806192995622305855825363996712512519267473659798940354480561268003780138404435712726385070685709553277829282312900420057898412951970810946514295042637867082233767704396151800194809483472540503761975710198911665419199847364363121090719801742644712117708465766511028708350569263219788528670184674748703117588637405111109137682370359341384923613609512171998264198314956281717118864634627197938193843737952491222958374722859025262654761353232018943926765530893868643349767120399991170460317120413003227338282448763466553859735482653849262059187198775224067894694165849387015890760211502410336639651340637870197879280241051492481629357048453366857368731006617195025548363361704081274071028518093048098651874908207541540871270635555671418573439393897065049753075675186967783642570539179683418328445381445435849033183992839320372226436086000756736748039340294898587342727337553611982991142397109735243502146844620059261768434928751377317704816504674651444426813422868047201395843154743680340661196443559970282640378264801946334756603543982211677834981915608997938603351166767608776924599412989404191284870072879264181770558525240517672585662277715889492429516714959367966826501458445944569693152558370218580243656420449269842248694434124854146446153915998556459617228298447326983130441948016430402774179409824714612881972763362268501761051973117661817695521405782164526397771560217404066852802123910801675220047365247382479860350299684555729824343056588258383433136799523349873476458608108314605682916382318139569747277930478327279094769041439433546676732498003331279642253265148370435689700741998041723695385598536195389838065831173277907631336072015880197785690517839834110908159907686681828795758925748360013840246270721816736611181430487815559521195535631277215085788663312627871147608100273754959202887948145923946186132037381065347424663956903744048933365245830306597076290602832028926161361101114984699327316294352360579606944996023040882672014333043930694756233998618266230487486547131317615941707813256713557299037427301884962582403846241794558318034041230037407282596818602402948676597796919784535003131322469558373805477818370613172566003164488137348162659218594944016906109727383233520592582403272434844884815142324594330030846816619104027712341010700181263104256380574778281210409250503289711348754379749533033357073709752933235966671117823533075727520715645127043019802822941435935206346834965290665804169020759664608346491895760592210889965994770632672030292288595671831489711507362370761991060372326962294524235974123615210600566488649861255336772315726263481778475797588689332285556212800742966314927702632627992817046358088280022539252328754174673045152104026671791618243384610013517570368695906225105904223089557786118184894834703867653212547509232675497272227404181159336871324302813935269061066571717552939089413413139277855148631267172740991479371725196072779291013880398173628777927872429128809573579922893649250953476790360466526553662750943401961796598086905537614699221271775505999770389426634284204713864343566382558669072785005685285915151038116128637330807635854003831680134176385989463006338619894647772061434274069555661144481825993036208529983912048957978354888696278723738467166966139936312576768440621138429474783766878385688178349904145631831965632875239385191749695632396152238071991525925424524423045026301089976499417515240450158219746140103138385687591997555753058090841388663134737579275669201241274003623449280157472239868661537836294997749519553226381033109740304567604606502897487460094174675483787684238792513202422512057575073466346893721558933184537692343586635660428289067606406348625788695206240318869108979872474746414857402245724837451221407722785112852243778976735407302825833504851116955400872436448387233187890153661377913373254806293162630303272266318310475477602153273960007662085635660070173713630939553224394227852353240667}
30298  695115728750844396843197161135910720025574910871593486237829676796502330200870986415754: {151465,181758,877801,2239166,2601758,2784932,3049897,4132057,4412558,4961492,5391301,5569496,6265683,6411092,6580766,6826117,7184101,7541797,7662926,8077801,8583332,8627235,9202384,9463646,9823358,10030052,10352682,10806747,11619758,11716436,11978606,12077331,12519301,12865175,12872677,12920036,12986259,13641812,13754857,14070435,14283301,14377775,15008464,15162601,15346383,15438210,16467424,16565737,16790415,16884522,16987358,17253330,17909776,18010055,18313955,18403552,18413246,18427731,18525852,18769358,18926036,19282627,20148498,20192366,20703996,20903006,21504536,21612066,21642335,21801812,21937775,21976746,22477657,22677086,22998692,23512297,23716436,24192603,25637843,25728650,25861358,25970802,26087557,26325330,26771557,26823332,27142323,27546610,27625358,28080352,28476517,29320971,29847867,30374115,30874380,30948819,31590396,31608728,31864837,32033497,32399056,32632138,32932672,33055932,33548197,33734612,33972452,34216143,35533175,35559819,35800035,36391358,36448938,36625490,37049256,37059817,37298852,37392601,38186704,38223301,38277635,38562706,39352300,39661683,41198917,41528101,41566436,41680413,41684696,41954366,42639810,42677977,42911979,42960042,42993326,43121816,43724255,43932836,43950588,44642132,45412526,45482464,45933162,45943897,45954307,46617340,46638915,46895283,46918057,47222760,47727877,48253535,48355359,48512043,48512558,49345935,49748176,50229758,50306132,50370944,50572766,51167772,51483812,52317811,52469106,52635664,52895972,53125605,53311646,53664601,54542036,55012052,55089580,55252201,55940808,55966698,56029976,56043301,56667312,57064767,57904242,58405801,58533092,58876357,59101166,59144615,59215122,60838899,62242763,62933409,63033723,63181016,63500366,63546277,63717787,63750726,64026627,64318297,64385492,64685499,65185886,65259964,65522558,65649010,65703397,65856937,65859086,66107496,66470377,66479023,66596200,67464728,67816707,67887332,68151397,68193455,68203786,68264835,68586836,69543123,70278277,70732201,70963215,70973538,71078643,71891966,72240601,72778299,72815824,74190757,74225486,74370933,74739730,74869412,74920725,75694096,75897819,76222175,76449331,76722601,77422292,77463301,78349652,78497257,78699400,78778812,79915440,80439387,80734175,80897252,81139801,81745935,81832146,81869701,81917802,82501886,83063624,83654259,83817758,84146366,84194099,84771301,85155858,85243136,85459358,85787246,85979026,85980836,86498437,87130815,87195664,87215017,87739715,88536825,88537834,88731758,89438036,89687676,89821635,89904870,90036686,90204997,90336547,90770917,91025410,91303683,91466610,91617637,92314766,92602201,92939536,93055443,93228520,93288926,93446577,93621346,93784300,94063655,94304931,94439280,94700101,95556926,95564427,95642852,95673577,95761175,95809744,95898528,96174287,96505177,96628587,96789332,96849758,96881010,97142383,97172606,97433980,97564384,97747717,98073635,98095122,98435497,98462558,99750206,...,3736716506522620861979899151526260448782630119036477786300082684692466185680735424331155352490042682655366571439324036918317003637428494568261016312094171220867887431279886088052551906812740776547649750966505185104832757007697096747272742911726486556108877254604571588242505168315716253392545346955229377519220113664679790242264749291763292210905945416953922456689068746608722597444193033598468221880775696934546910485850561347479974076944920784469663147904541057287137701751482541718086481852281922432620312098033201543298551451034596558428094358249210175991097456725844177594622567223398895348430607633773939730360366953421208692878415095029322821334452217024712626913658172968611794803959856988395057329409737815878124055584682334441682625807108301041313779274164698759891065267747548996984838690559225776699715097345861475336127440486757435685303451000756130324026300193042292150268934989669055808750974565185156254911104327132190359849865698408257327496407807767151995616683359023298213065253805974081690671706851205914283635180094247612737703772376417200560077197883935961081262019060056850489442978356939194869066926412644630054005015967613598548887225599796485817494787626402323526282823611287688681371611134092350959718038226912899664937490118183206814812183576493812455179898151479349562664352264419941708956158486179502930584258458317269988297277832963812033683539681804309358591902354041191824857799689493866654893947089493884004303117709931684622071812980643538465682745582931700298757192925554465849354521013615336547115519535120850493597172373654735323308839142731271155809824974675489593367397817815605441698761371357457397464869166544276722054495027514074228558097919191862753399670767566915957044856760718906244557771260508593914465377578657119093829635248114667675648997385787059864783123636450071482643988189862812980324669529126160079015691246571668503090273088672899535259235751230490729601861124206324907120881595258079960376853837686402595113008804725309615570446642554145330584804468222356811702566132550652538921713160097172352242360744700320690230114216370287852656572688953279157289102001944594592759590870077826958106991541893932359789664925912166472195261538554664741946156304397929769310840589264021907203698905879766286150509297017816358002348069297490215756927361874376219368530362080289872089137069498547735566960063153663176639813800399579407639765790742117677844577515732697799831301944810811086140910555176424186092996370573971103038793025388585911395568976664004441706189671020197827247586267655997388964927180798048260519784087774897703876841781429354506930380920690453112147877546543582242438394345234331146685120328360962422315481575240650420746028260714175036286781051551083503828196810800365006612270517264194565261581509383174753796566218609204992065244486994440408796101720803776038568215148134819979599103088392469814106142593328030721176896019110725240926341645331491021640649982062841756821255610417675618076398716569735846616776538461655726077757378721640049876376795758136537264902130395893046046670841763292744498407303757827484230088004219317516464216878958126592022541479636510978027456776537696579793179753523099459106707795755492138703616454680933575017472341840766371041613879000671052948465005839666044044476098279670577647955561490431377434303360954193502724026403763921914580275129113287054221072225361012886144461989194347456281186621326360843562707056384794229108652948676483161015988080496435949726032314632164820280800755318199815007115696420968351309037967730118252443047408283734323955086570270176837323756061810784373363385669771672232897393536138702229055490991179480018023427158261208300141205630786077048157579859779605156870950063345643567329696303205574879115828432403751913692081422095623403918785884550852370473531508356230321321972495633594763705721351840530898171703903829905505079431439897191532334604635720480622035404883667924535949062130782540716819598961695700674666360519235512378939618485791421843411558763713340913714553534717488171516441076847805338442240178901847985950675118159859530362748579032092740881525975767990714944706645216065277304473184928371631651289555954853248416769024587494851239299711689171180917571133205527509109287510500319180255666260843194869650762655367900566032564060035068119968665890020320600210959661520137517847583455996741004077454455184884179650105700892268321698671497932373543296319824882050448393330332692737635174710812987072756806142003863316613458899567311716912318390017603230016076766764621795858295411910912716923124782180880571052090141875131501051593608320425158811973163299661886476536327633116601628543630380150469658371968980543070434444673134822607201163248597849644250520204881837217831006408390883507071029688424413967303469537698613343549447514213426898284841252737632525637136470987556}
30299  697265796783347095318273627087154293347206050579580568410554983740270597494494266048586: {242344,272637,3358749,3481165,3902637,4177398,4873309,5660677,6201865,6326221,6618837,6689449,6961870,7442238,8013865,8052086,8354244,9616638,9652621,9871149,10231598,10729165,11320606,11494389,11502980,11831269,12537565,12874998,13132406,13803576,14195469,14408996,14645545,14735037,14914729,15045078,15529023,15634597,15671054,16003837,16103108,16150045,17052265,17315012,17429637,17574654,17967909,18760580,18816469,19380054,20461844,20462718,20584280,21077977,21846998,22387220,22512696,23004440,23157315,23657545,24383918,24570308,24701136,25326783,25432681,25481037,25879995,26864664,26880670,27252265,27605328,27619869,27657637,27788778,28154037,28349174,28389054,28748365,28816088,29302328,29645545,30222747,30288549,30313669,31055994,31354509,32256804,32418099,32589037,32702718,32965119,33413366,33529165,33537757,33809438,34015629,34498038,34627736,34937929,35100440,35523037,35574654,36189764,36464677,36474109,36841837,37731589,38592975,38792037,38956203,39094628,39487995,39510910,39797156,40234998,40498820,40562629,41165840,41193949,41265092,41319915,41438037,42120528,42134917,42168265,42465565,42518846,43529654,44074576,45621524,46056206,46311570,46623565,47385594,47413092,47620669,47733380,47933678,48598584,48948207,49026229,49190375,49397821,49399008,49583898,50057557,50601918,50710837,50958678,51691021,51820777,51958045,52105870,52882244,53902270,54587037,54673407,54867949,54916045,54938235,55150678,55283389,55573884,55802665,55948278,56853080,57215972,57280056,57340478,57844059,57954649,58216597,58271675,58375369,58600784,58684429,59028450,59031637,59125726,59284621,61244216,61792789,62185220,62349654,62527044,62882665,62931549,62963680,63233797,63713846,63927049,63959715,64354765,64440063,64473812,64489989,64682724,65207197,65388349,65794580,65864821,65899254,65925882,65933149,66119965,66232334,66463597,66963198,67724137,68118789,68177545,68223696,68765065,68832637,68861975,68899743,69926010,69958808,70037470,70834140,72660109,72680671,72768837,73166365,74245909,74587744,74622264,75344637,75459198,75522697,75556416,75718621,75859149,76086356,76131614,76296206,76326889,76609789,76751658,76917206,77057929,77205656,77225718,77897161,78703659,78953496,78976270,79343958,79654597,79967469,80481865,80574518,80824718,81118532,81322094,81574955,81813054,82518078,82634370,82750574,83245250,83459749,83833526,83911212,83950047,84044964,84330910,84859165,85000968,85215934,85368836,85733545,86247332,86856363,87617509,87799638,87874357,88143328,88365001,88550569,88651749,88704109,88822683,90422276,91019780,91443517,91603429,92724164,93356029,93586765,94394749,94617620,94631384,94771524,94967989,95250549,95338921,95548549,95626089,96347989,96578238,96777865,97037732,97705477,97778829,97889946,97937065,98283837,98374250,98473515,98642998,98722009,98788629,98789086,99161244,99894300,...,5605074759783931292969848727289390673173945178554716679450124027038699278521103136496733028735064023983049857158986055377475505456142741852391524468141256831301831146919829132078827860219111164821474626449757777657249135511545645120909114367589729834163315881906857382363757752473574380088818020432844066278830170497019685363397123937644938316358918125430883685033603119913083896166289550397702332821163545401820365728775842021219961115417381176704494721856811585930706552627223812577129722778422883648930468147049802314947827176551894837642141537373815263986646185088766266391933850835098343022645911450660909595540550430131813039317622642543984232001678325537068940370487259452917692205939785482592585994114606723817186083377023501662523938710662451561970668911247048139836597901621323495477258035838838665049572646018792213004191160730136153527955176501134195486039450289563438225403402484503583713126461847777734382366656490698285539774798547612385991244611711650727993425025038534947319597880708961122536007560276808871425452770141371419106555658564625800840115796825903941621893028590085275734164467535408792303600389618966945081007523951420397823330838399694728726242181439603485289424235416931533022057416701138526439577057340369349497406235177274810222218275364740718682769847227219024343996528396629912563434237729269254395876387687475904982445916749445718050525309522706464037887853531061787737286699534240799982340920634240826006454676564897526933107719470965307698524118374397550448135789388331698774031781520423004820673279302681275740395758560482102984963258714096906733714737462013234390051096726723408162548142057036186096197303749816415083081742541271111342837146878787794130099506151350373935567285141078359366836656890762890871698066367985678640744452872172001513473496078680589797174685454675107223965982284794219470487004293689240118523536869857502754635409633009349302888853626845736094402791686309487360681322392887119940565280756529603892669513207087964423355669963831217995877206702333535217553849198825978808382569740145758528363541117050481035345171324555431778984859033429918735933653002916891889139386305116740437160487312840898539684497388868249708292892307831997112919234456596894653966260883896032860805548358819649429225763945526724537003522103946235323635391042811564329052795543120434808133705604247821603350440094730494764959720700599369111459648686113176516766866273599046699746952917216216629211365832764636279139494555860956654558189538082878867093353464996006662559284506530296740871379401483996083447390771197072390779676131662346555815262672144031760395571381035679668221816319815373363657591517851496720027680492541443633473222362860975631119042391071262554430171577326625255742295216200547509918405775896291847892372264074762130694849327913807488097866730491660613194152581205664057852322722202229969398654632588704721159213889992046081765344028666087861389512467997236532460974973094262635231883415626513427114598074854603769925164807692483589116636068082460074814565193637204805897353195593839569070006262644939116747610955636741226345132006328976274696325318437189888033812219454766467041185164806544869689769630284649188660061693633238208055424682021400362526208512761149556562420818501006579422697508759499066066714147419505866471933342235647066151455041431290254086039605645882871870412693669930581331608338041519329216692983791521184421779931989541265344060584577191343662979423014724741523982120744653924589048471948247230421201132977299722510673544631452526963556951595177378664571112425601485932629855405265255985634092716176560045078504657508349346090304208053343583236486769220027035140737391812450211808446179115572236369789669407735306425095018465350994544454808362318673742648605627870538122133143435105878178826826278555710297262534345481982958743450392145558582027760796347257555855744858257619147159845787298501906953580720933053107325501886803923593196173811075229398442543551011999540778853268568409427728687132765117338145570011370571830302076232257274661615271708007663360268352771978926012677239789295544122868548139111322288963651986072417059967824097915956709777392557447476934333932279872625153536881242276858949567533756771376356699808291263663931265750478770383499391264792304476143983051850849048846090052602179952998835030480900316439492280206276771375183995111506116181682777326269475158551338402482548007246898560314944479737323075672589995499039106452762066219480609135209213005794974920188349350967575368477585026404845024115150146932693787443117866369075384687173271320856578135212812697251577390412480637738217959744949492829714804491449674902442815445570225704487557953470814605651667009702233910801744872896774466375780307322755826746509612586325260606544532636620950955204306547920015324171271320140347427261879106448788455704706481334}
30300  699422476627268570143887754882486650712601927195238104098168957233522764442456722171616: {212051,302930,363516,877859,938339,1240619,1421891,1755602,1784219,2688779,2929691,3110291,3411131,3952139,4192379,4478332,4912331,5032211,5203516,5451539,5569864,5750819,5930291,6099794,6266097,6348779,6886259,7244219,8137859,8264114,8825116,9326579,9504611,9922984,10442805,10571291,10782602,11138992,11162771,11163357,11340059,11458211,12078129,12520139,12531366,12579059,12822184,12932411,13161532,13403099,13652234,13814531,13932011,14368202,14378725,14424957,15083594,15325852,15347397,16099619,16155602,16274891,16980909,17150171,17166664,17254470,18011245,18314411,18404768,18721139,18927292,19312497,19533419,19646716,19698609,20060104,20128885,20705364,20748899,21268739,21499571,21613494,21643765,21672611,22567617,22709339,22824371,23239516,23432872,23450725,23506581,23957212,24154662,24374171,25038602,25214077,25232651,25404131,25577305,25639537,25730350,25745354,25803971,25840072,25972518,26361981,26773379,27283624,27509714,27513131,27967691,27984025,28140870,28365011,28566602,28755550,29070081,29215091,29667731,30016928,30176339,30299269,30325202,30684299,30692766,30694077,30712885,30876420,31247939,31867019,31923251,32372819,32770497,32934848,33131474,33580830,33606491,33769044,33886331,33974716,34110059,34506660,35561171,35819552,35950931,36020110,36575877,36627910,36807104,36826492,36855462,37051704,37062371,37117859,37228811,37450619,37538716,37852072,38281259,38565254,39551411,39716771,40296996,40321005,40384732,40432499,41256659,41366411,41407992,41683167,41806012,42523761,42583581,42735611,42844931,43008851,43009072,43224132,43284670,43500179,43603624,43875550,43953492,44535299,44955314,45133259,45237205,45354172,45838691,45997384,46272131,46583991,46921331,47024594,47432872,47461451,47785139,48385206,48431651,48539291,48862019,48868285,49054077,49184459,49721219,49746445,50042891,50120049,50203619,50623525,50714157,50845811,50952731,51275686,51326699,51457300,51581365,51722716,51747057,51913571,51941604,52175114,52650660,52924979,53084411,53190659,53361981,53543114,53588689,53646664,53668379,54145451,54284646,54304331,55093220,55250716,55256099,55308899,56160704,56415851,56678891,56889179,56953034,57026905,57046811,58641942,58723739,58932779,59193899,59266365,59666725,59695734,60184331,60352497,60748230,61213957,61748760,61897638,61897691,62156531,62931851,63180792,63217456,63602339,63705371,63729674,63778269,63911339,64066994,64798112,65247011,65264276,65294481,65400779,65605691,65861651,65865344,66102805,66111864,66475139,66526211,66934499,67096394,67393211,67469224,67554949,67944904,68432286,68816171,68917571,69084309,69467355,69565441,70030859,70737299,70787699,70938851,71066350,71078391,71119638,71519965,71600070,71900517,72245819,72782716,72897876,73197491,73250980,73559629,74096411,74098512,74119634,74245979,74375847,74597704,74785202,74992739,75737699,75902877,76373408,76438017,76446602,76555270,76777619,77125412,77468939,77731525,78060251,78158805,78257099,78704600,79323366,79533491,80413979,80592265,80853405,80999531,81194459,81924299,82243225,82361339,82397834,82458371,82726017,82802461,82894619,83056202,83132872,83360826,83369392,83378579,83908732,83922417,84054779,84536819,84825659,85279620,85355954,85823958,85920084,85986652,86010717,86243632,86504819,86935019,87448510,87865672,87901176,88079051,88542675,88688589,89265851,89284264,89407931,89549939,90211691,90824771,90825052,90964928,91624451,91866324,91887794,91908614,92889779,93030011,93234680,93277830,93524481,93776699,93790566,93836114,94195811,94445520,94753619,95107945,95449259,95455754,95470837,95570769,95727011,96281651,96420131,96507070,96512411,96710718,96835139,97024086,97025116,97479419,97800971,98626019,98691870,98848881,98888823,99037571,99311579,99348501,99496352,99502117,99813179,...,8407612139675896939454773090934086009760917767832075019175186040558048917781654704745099543102596035974574785738479083066213258184214112778587286702211885246952746720379743698118241790328666747232211939674636666485873703267318467681363671551384594751244973822860286073545636628710361570133227030649266099418245255745529528045095685906467407474538377188146325527550404679869625844249434325596553499231745318102730548593163763031829941673126071765056742082785217378896059828940835718865694584167634325473395702220574703472421740764827842256463212306060722895979969277633149399587900776252647514533968867175991364393310825645197719558976433963815976348002517488305603410555730889179376538308909678223888878991171910085725779125065535252493785908065993677342956003366870572209754896852431985243215887053758257997574358969028188319506286741095204230291932764751701293229059175434345157338105103726755375569689692771666601573549984736047428309662197821418578986866917567476091990137537557802420979396821063441683804011340415213307138179155212057128659833487846938701260173695238855912432839542885127913601246701303113188455400584428450417621511285927130596734996257599542093089363272159405227934136353125397299533086125051707789659365586010554024246109352765912215333327413047111078024154770840828536515994792594944868845151356593903881593814581531213857473668875124168577075787964284059696056831780296592681605930049301361199973511380951361239009682014847346290399661579206447961547786177561596325672203684082497548161047672280634507231009918954021913610593637840723154477444888071145360100572106193019851585076645090085112243822213085554279144295955624724622624622613811906667014255720318181691195149259227025560903350927711617539050254985336144336307547099551978517961116679308258002270210244118020884695762028182012660835948973427191329205730506440533860177785305304786254131953114449514023954333280440268604141604187529464231041021983589330679910847921134794405839004269810631946635033504945746826993815810053500302826330773798238968212573854610218637792545311675575721553017756986833147668477288550144878103900479504375337833709079457675110655740730969261347809526746083302374562439338461747995669378851684895341980949391325844049291208322538229474143838645918290086805505283155919352985453086564217346493579193314680652212200558406371732405025660142095742147439581050899053667189473029169764775150299410398570049620429375824324943817048749146954418709241833791434981837284307124318300640030197494009993838926759795445111307069102225994125171086156795608586169514197493519833722894008216047640593357071553519502332724479723060045486387276777245080041520738812165450209833544291463446678563586606893831645257365989937883613442824300821264877608663844437771838558396112143196042273991870711232146800095737490919791228871808496086778484083303344954097981948883057081738820834988069122648016042999131792084268701995854798691462459641393952847825123439770140671897112281905654887747211538725383674954102123690112221847790455807208846029793390759353605009393967408675121416433455111839517698009493464412044487977655784832050718329182149700561777747209817304534654445426973782990092540449857312083137023032100543789312769141724334843631227751509869134046263139248599100071221129258799707900013353470599227182562146935381129059408468824307805619040504895871997412507062278993825039475687281776632669897984311898016090876865787015494469134522087112285973181116980886883572707922370845631801699465949583766010316947178790445335427392766067996856668638402228898944783107897883978451139074264840067617756986262524019135456312080015374854730153830040552711106087718675317712669268673358354554684504111602959637642527698026491816682212543478010613972908441805807183199715152658817268240239417833565445893801518222974438115175588218337873041641194520886333783617287386428720739768680947752860430371081399579660988252830205885389794260716612844097663815326517999311168279902852614141593030699147676007218355017055857745453114348385911992422907562011495040402529157968389019015859683943316184302822208666983433445477979108625589951736146873935064666088836171215401500898419808937730305321863415288424351300635157064535049712436895495896898625718155575249086897188456714215974577776273573269135078903269929498252545721350474659238420309415157062775992667259174272524165989404212737827007603723822010870347840472416719605984613508884993248558659679143099329220913702813819508692462380282524026451363052716377539607267536172725220399040681164676799553613077030759906981284867202819219045877366085618720956607326939617424239244572206737174512353664223168355338556731336930206221908477500514553350866202617309345161699563670460984133740119764418879487890909816798954931426432806459821880022986256906980210521140892818659673182683557059722001}
30301  701585788496962181864479489687281587902818314222037121618638278845806063633569258050942: {454395,484688,545274,2633403,4873631,5597915,6326639,6504395,6689891,6717498,6962330,7476443,7805274,8354796,8682611,9149691,9746618,10318319,11031395,11219411,11321354,11407643,12312971,12396171,12403730,12652442,13223183,13237674,13378898,13923740,14884476,15020831,15943331,16027730,16104172,16173903,16451915,16669403,16708488,17552591,18477251,18797049,19157315,19233276,19305242,19742298,20463196,20478351,20503763,21458330,21552303,22106171,22274351,22610063,22625391,22641212,22988778,23005960,23557739,23659115,23662538,23873171,24233403,24558395,25075130,25735091,25749996,25881705,26253359,26264812,27186659,27607152,28390938,28817992,29049395,29291090,29470074,29829458,29946515,30090156,31058046,31269194,31341251,31342108,32007674,32206216,32300090,32420241,33120563,33879983,34104530,34201871,34630024,34859274,35149308,35935818,36187019,36231993,37491851,37521160,37557903,37632938,38153171,38595525,38618031,38760108,38958777,39635531,40247711,40754639,40923688,40925436,41168560,41264571,41503763,41981771,42155954,42211305,42468395,42849903,43133325,43693996,44034911,44774440,45025392,45334703,45487803,45848291,46008880,46033115,46039149,46314630,46555151,46923395,46940831,47315090,48767836,49140616,49402272,49697211,49778363,49795811,50060879,50371245,50480915,50653566,50865362,50962074,51759990,52039691,52257515,52846931,53443259,53729328,53761340,54030165,54504530,54941865,55210656,55239738,55255919,55283193,55315274,55577556,56308074,56692715,56698348,56778108,57496730,57632176,57847881,57917339,58379243,58604656,59035571,59158931,59243771,59291090,59451791,59947019,60445494,60577098,60627338,61056431,62111988,62709018,62731631,63895931,64321625,64513608,64653395,64772843,64836198,64927005,65178074,65272991,65405436,65813325,65869199,65930238,66826732,67058330,67075514,67333811,67432971,67618876,68031258,68168171,68335811,68866525,68996076,69063395,69255472,69875858,70063643,70200880,70536891,71046074,71149308,72379528,72577809,72741263,72929354,72948218,73683674,74730851,74858363,75463178,75633683,76882463,76913529,77063051,77185950,77351411,77584074,77671151,77840243,77912406,78123731,78189256,78262671,78975990,79021820,79206731,79594312,80314671,80469996,80997640,81125258,81426969,81580345,82331680,82387898,82530184,82639830,82876074,83269379,84241056,84269834,84336530,84931130,85037692,85306523,85429551,87059308,87962913,88035731,88149152,89485643,89543601,90096671,90114803,90349691,90978395,91122345,91243048,91449611,91563725,92112412,92160911,92567951,92623140,92626931,92685851,92846457,93247130,93278543,94137251,94459139,94771188,94826184,95058863,95241338,95448563,95466760,95594511,95867356,96100491,96271091,96354383,96406765,97197168,97594571,97756259,97896414,98052458,98380750,98728571,98795642,98798016,98968283,99167796,...,11210149519567862585939697454578781346347890357109433358900248054077398557042206272993466057470128047966099714317972110754951010912285483704783048936282513662603662293839658264157655720438222329642949252899515555314498271023091290241818228735179459668326631763813714764727515504947148760177636040865688132557660340994039370726794247875289876632717836250861767370067206239826167792332579100795404665642327090803640731457551684042439922230834762353408989443713623171861413105254447625154259445556845767297860936294099604629895654353103789675284283074747630527973292370177532532783867701670196686045291822901321819191081100860263626078635245285087968464003356651074137880740974518905835384411879570965185171988229213447634372166754047003325047877421324903123941337822494096279673195803242646990954516071677677330099145292037584426008382321460272307055910353002268390972078900579126876450806804969007167426252923695555468764733312981396571079549597095224771982489223423301455986850050077069894639195761417922245072015120553617742850905540282742838213111317129251601680231593651807883243786057180170551468328935070817584607200779237933890162015047902840795646661676799389457452484362879206970578848470833863066044114833402277052879154114680738698994812470354549620444436550729481437365539694454438048687993056793259825126868475458538508791752775374951809964891833498891436101050619045412928075775707062123575474573399068481599964681841268481652012909353129795053866215438941930615397048236748795100896271578776663397548063563040846009641346558605362551480791517120964205969926517428193813467429474924026468780102193453446816325096284114072372192394607499632830166163485082542222685674293757575588260199012302700747871134570282156718733673313781525781743396132735971357281488905744344003026946992157361179594349370909350214447931964569588438940974008587378480237047073739715005509270819266018698605777707253691472188805583372618974721362644785774239881130561513059207785339026414175928846711339927662435991754413404667070435107698397651957616765139480291517056727082234100962070690342649110863557969718066859837471867306005833783778278772610233480874320974625681797079368994777736499416585784615663994225838468913193789307932521767792065721611096717639298858451527891053449074007044207892470647270782085623128658105591086240869616267411208495643206700880189460989529919441401198738222919297372226353033533732547198093399493905834432433258422731665529272558278989111721913309116379076165757734186706929992013325118569013060593481742758802967992166894781542394144781559352263324693111630525344288063520791142762071359336443632639630746727315183035702993440055360985082887266946444725721951262238084782142525108860343154653250511484590432401095019836811551792583695784744528149524261389698655827614976195733460983321226388305162411328115704645444404459938797309265177409442318427779984092163530688057332175722779024935994473064921949946188525270463766831253026854229196149709207539850329615384967178233272136164920149629130387274409611794706391187679138140012525289878233495221911273482452690264012657952549392650636874379776067624438909532934082370329613089739379539260569298377320123387266476416110849364042800725052417025522299113124841637002013158845395017518998132133428294839011732943866684471294132302910082862580508172079211291765743740825387339861162663216676083038658433385967583042368843559863979082530688121169154382687325958846029449483047964241489307849178096943896494460842402265954599445021347089262905053927113903190354757329142224851202971865259710810530511971268185432353120090157009315016698692180608416106687166472973538440054070281474783624900423616892358231144472739579338815470612850190036930701989088909616724637347485297211255741076244266286870211756357653652557111420594525068690963965917486900784291117164055521592694515111711489716515238294319691574597003813907161441866106214651003773607847186392347622150458796885087102023999081557706537136818855457374265530234676291140022741143660604152464514549323230543416015326720536705543957852025354479578591088245737096278222644577927303972144834119935648195831913419554785114894953868667864559745250307073762484553717899135067513542752713399616582527327862531500957540766998782529584608952287966103701698097692180105204359905997670060961800632878984560412553542750367990223012232363365554652538950317102676804965096014493797120629888959474646151345179990998078212905524132438961218270418426011589949840376698701935150736955170052809690048230300293865387574886235732738150769374346542641713156270425625394503154780824961275476435919489898985659429608982899349804885630891140451408975115906941629211303334019404467821603489745793548932751560614645511653493019225172650521213089065273241901910408613095840030648342542640280694854523758212897576911409412962668}
30302  703755752668223727218057402066896192569596802624478139824396505637264153257598624115678: {424102,605860,727032,817911,938401,1301137,1755718,1844701,1876678,2387617,2481238,2843782,3511204,3568438,4912657,5377558,5811037,5859382,5990497,6220582,6349201,6822262,7904278,8384758,8956664,9386557,9824662,10064422,10076247,10407032,10443495,10903078,11139728,11501638,11707911,11860582,12199588,12532194,12579901,12697558,13109857,13772518,14488438,14619927,14871697,16100701,16275718,16528228,16982031,17404675,17650232,18373777,18605595,18653158,18722401,18978663,19009222,19592701,19845968,19856511,19940317,20068347,20130215,20461201,20885610,21142582,21565204,21674077,22277984,22325542,22326714,22680118,22916422,24041595,24156258,24433117,25040278,25062732,25158118,25215743,25291537,25578995,25644368,25864822,26323064,26806198,27002977,27304468,27629062,27864022,28180439,28301515,28736404,28757450,28849914,28957863,29047201,29613447,30167188,30234877,30301271,30651704,30694794,30742801,31925437,32187495,32199238,32311204,32549782,32768017,32831015,32936317,33961818,34112401,34300342,34333328,34483167,34508940,34950301,35493807,35808227,36022490,36628822,36809536,37120417,37442278,37612695,37854584,38624994,39066838,39177635,39293432,39397218,39939901,40120208,40257770,40288039,41094817,41410728,41497798,42081937,42537478,42586407,42902557,42998039,42999142,43226988,43287530,43345222,43936635,44048401,44205111,44375137,44538397,44744187,45135234,45353617,45418678,45648742,46479032,46587069,46865744,46901450,46903791,47013162,47914424,48011511,48309324,48450135,48596497,48748342,49241617,50046397,50077204,50428154,50465302,50808262,51009757,51154610,51156795,51279074,51460700,51490708,51607942,51680144,51945036,52288911,52723962,53247517,53546758,53903727,54567248,54617495,55019428,55026262,55312801,55935382,55968050,56281740,56419837,56449407,56730022,57133204,57511100,58140162,58430182,58780177,59335462,60033856,60352678,60598538,60650404,60959795,61280017,61368598,61385532,61388154,61425770,61752840,61902097,62367901,62495878,63142801,63233931,63332087,63734038,63846502,64745638,65456701,65540994,65869696,66262948,66530977,67161660,67201675,67212982,67538088,67772662,67949432,68220118,68415599,69013320,69471945,69580897,69645023,70490257,70792801,70872935,70972635,71122342,71639104,71901862,72040220,72213911,73151754,73255820,73614208,73652984,73710924,73802401,74103408,74124742,74235718,74457622,74901238,74998177,75077432,75704144,75980349,76298043,76443111,76562518,77130508,77639985,79102822,79433542,79837667,80593992,80642010,80769464,80864998,81756795,82213703,82367377,82513318,82732822,82815984,82859607,82972911,83094397,83366334,83384701,83533415,83612024,84462111,84523595,85047522,85167162,85471222,85689862,86017702,86018144,86245095,86448264,86569340,86934107,87000358,87207248,87418717,87751100,87906984,88133137,88418401,88936635,89070598,89910628,90123937,90266518,90474410,90668241,90708344,90865647,90941007,91677382,91994768,92543927,92544262,92943457,93083677,93167982,93842662,94049188,94063527,94865744,94922902,95456401,95570278,96770412,96863302,97078582,97254297,97724038,97736570,97767111,98108154,98368918,98777275,98895357,99442438,99492890,...,16815224279351793878909546181868172019521835535664150038350372081116097835563309409490199086205192071949149571476958166132426516368428225557174573404423770493905493440759487396236483580657333494464423879349273332971747406534636935362727343102769189502489947645720572147091273257420723140266454061298532198836490511491059056090191371812934814949076754376292651055100809359739251688498868651193106998463490636205461097186327526063659883346252143530113484165570434757792119657881671437731389168335268650946791404441149406944843481529655684512926424612121445791959938555266298799175801552505295029067937734351982728786621651290395439117952867927631952696005034976611206821111461778358753076617819356447777757982343820171451558250131070504987571816131987354685912006733741144419509793704863970486431774107516515995148717938056376639012573482190408460583865529503402586458118350868690314676210207453510751139379385543333203147099969472094856619324395642837157973733835134952183980275075115604841958793642126883367608022680830426614276358310424114257319666975693877402520347390477711824865679085770255827202493402606226376910801168856900835243022571854261193469992515199084186178726544318810455868272706250794599066172250103415579318731172021108048492218705531824430666654826094222156048309541681657073031989585189889737690302713187807763187629163062427714947337750248337154151575928568119392113663560593185363211860098602722399947022761902722478019364029694692580799323158412895923095572355123192651344407368164995096322095344561269014462019837908043827221187275681446308954889776142290720201144212386039703170153290180170224487644426171108558288591911249449245249245227623813334028511440636363382390298518454051121806701855423235078100509970672288672615094199103957035922233358616516004540420488236041769391524056364025321671897946854382658411461012881067720355570610609572508263906228899028047908666560880537208283208375058928462082043967178661359821695842269588811678008539621263893270067009891493653987631620107000605652661547596477936425147709220437275585090623351151443106035513973666295336954577100289756207800959008750675667418158915350221311481461938522695619053492166604749124878676923495991338757703369790683961898782651688098582416645076458948287677291836580173611010566311838705970906173128434692987158386629361304424401116812743464810051320284191484294879162101798107334378946058339529550300598820797140099240858751648649887634097498293908837418483667582869963674568614248636601280060394988019987677853519590890222614138204451988250342172313591217172339028394987039667445788016432095281186714143107039004665448959446120090972774553554490160083041477624330900419667088582926893357127173213787663290514731979875767226885648601642529755217327688875543677116792224286392084547983741422464293600191474981839582457743616992173556968166606689908195963897766114163477641669976138245296032085998263584168537403991709597382924919282787905695650246879540281343794224563811309775494423077450767349908204247380224443695580911614417692059586781518707210018787934817350242832866910223679035396018986928824088975955311569664101436658364299401123555494419634609069308890853947565980185080899714624166274046064201087578625538283448669687262455503019738268092526278497198200142442258517599415800026706941198454365124293870762258118816937648615611238081009791743994825014124557987650078951374563553265339795968623796032181753731574030988938269044174224571946362233961773767145415844741691263603398931899167532020633894357580890670854785532135993713337276804457797889566215795767956902278148529680135235513972525048038270912624160030749709460307660081105422212175437350635425338537346716709109369008223205919275285055396052983633364425086956021227945816883611614366399430305317634536480478835667130891787603036445948876230351176436675746083282389041772667567234574772857441479537361895505720860742162799159321976505660411770779588521433225688195327630653035998622336559805705228283186061398295352014436710034111715490906228696771823984845815124022990080805058315936778038031719367886632368605644417333966866890955958217251179903472293747870129332177672342430803001796839617875460610643726830576848702601270314129070099424873790991793797251436311150498173794376913428431949155552547146538270157806539858996505091442700949318476840618830314125551985334518348545048331978808425475654015207447644021740695680944833439211969227017769986497117319358286198658441827405627639017384924760565048052902726105432755079214535072345450440798081362329353599107226154061519813962569734405638438091754732171237441913214653879234848478489144413474349024707328446336710677113462673860412443816955001029106701732405234618690323399127340921968267480239528837758975781819633597909862852865612919643760045972513813960421042281785637319346365367114119444002}
30303  705932389478477110228055557648637022336736340667686797683976602659615899442468186279849: {636153,757325,908790,969376,1090548,2633577,2815017,3721857,4265673,4389005,5266806,5352657,7476937,7658057,7837081,8066337,8747741,8789073,9106153,9330873,9747262,10233393,11195830,11856417,12194377,12577137,12653278,13008790,13379782,13434996,13924660,14551693,14736993,14952886,15096633,15249485,15443953,15610548,16354617,16709592,17252457,17365222,17790873,17819017,18299382,18798291,19046337,19493236,20636638,20658777,20660285,21732657,22062790,22438822,22642708,22815286,23032681,24413577,24625942,24706897,24792342,24807460,25304884,26324233,26446366,26475348,26757796,26820241,26956505,27847480,27979737,28513833,29061601,29568737,29768952,30041662,31026697,31328415,31713873,31886662,32055460,32208344,32347806,32903830,33122761,33338806,33416976,33488313,33490071,34020177,34130585,34374633,34381753,35028457,35105182,35920505,36234387,36954502,37560417,37594098,37708985,37737177,38314630,38466552,38610484,38797233,39484596,40209297,40389005,40420393,40669153,40926392,40956702,41007526,41443593,41796033,41902657,41925121,42616433,42766477,42916660,43104606,43136175,43274871,43462001,44212342,44548702,45220126,45250782,45282424,45688061,45977556,46011920,46042191,47115478,47318230,47325076,47746342,48084793,48298857,48466806,48824673,49116790,50150260,50942727,51450513,51470182,51499992,51763410,52506718,52529624,54033735,54373318,54943233,55214304,55634641,56163417,56781876,57129001,57316457,57635984,57646073,57937491,58098790,58582180,58600257,58940148,59064217,59095827,59162857,59292497,59455753,59658916,59893030,60180312,60386655,61501453,62116092,62187977,62246697,62538388,62596505,62682502,62684216,63806217,64015348,64325875,64363385,64412432,64446361,64498713,64600180,64840482,64931295,65017833,65692753,66241126,67702851,67759966,68128017,68209060,68403742,68473113,68774285,69260048,69718548,70298616,70352175,70519743,70673281,70846477,71416505,71871636,71888875,72374038,72463986,73061057,73122513,73160521,74983702,75042320,75115806,75235673,75265876,75513373,75642231,75697953,75813005,76212393,76306342,76337021,76731915,76918611,77041217,77191050,77236062,77411913,77520216,77845417,77917554,79085943,79271062,79369801,80320137,80495422,81509278,81847376,81850872,82337120,82529142,82539393,82828685,83007526,83736281,83903073,83952075,83963542,84311908,84422610,84823373,84936790,85095033,85507841,85699806,86266650,86451577,86873897,87210243,87387992,87645273,88069822,88236601,88562333,89003193,89548880,90050275,90050784,90514753,90529017,90669406,90897807,90975606,91569775,91696582,92017760,92052897,92066230,92078298,92082231,92138655,92629260,92764001,93110302,93743817,93846790,93881662,94630180,94756993,95601057,95769753,96329617,96413135,96688753,97118457,97535672,98281232,98311491,98804544,98837597,99394422,99556726,99591622,...,25222836419027690818364319272802258029282753303496225057525558121674146753344964114235298629307788107923724357215437249198639774552642338335761860106635655740858240161139231094354725370986000241696635819023909999457621109801955403044091014654153784253734921468580858220636909886131084710399681091947798298254735767236588584135287057719402222423615131564438976582651214039608877532748302976789660497695235954308191645779491289095489825019378215295170226248355652136688179486822507156597083752502902976420187106661724110417265222294483526769389636918182168687939907832899448198763702328757942543601906601527974093179932476935593158676929301891447929044007552464916810231667192667538129614926729034671666636973515730257177337375196605757481357724197981032028868010100611716629264690557295955729647661161274773992723076907084564958518860223285612690875798294255103879687177526303035472014315311180266126709069078314999804720649954208142284928986593464255736960600752702428275970412612673407262938190463190325051412034021245639921414537465636171385979500463540816103780521085716567737298518628655383740803740103909339565366201753285351252864533857781391790204988772798626279268089816478215683802409059376191898599258375155123368978096758031662072738328058297736645999982239141333234072464312522485609547984377784834606535454069781711644781443744593641572421006625372505731227363892852179088170495340889778044817790147904083599920534142854083717029046044542038871198984737619343884643358532684788977016611052247492644483143016841903521693029756862065740831780913522169463432334664213436080301716318579059554755229935270255336731466639256662837432887866874173867873867841435720001042767160954545073585447777681076682710052783134852617150764956008433008922641298655935553883350037924774006810630732354062654087286084546037982507846920281573987617191519321601580533355915914358762395859343348542071862999841320805812424812562588392693123065950767992039732543763404383217517012809431895839905100514837240480981447430160500908478992321394716904637721563830655913377635935026727164659053270960499443005431865650434634311701438513126013501127238373025331967222192907784043428580238249907123687318015385243987008136555054686025942848173977532147873624967614688422431515937754870260416515849467758058956359259692652039480737579944041956636601675219115197215076980426287226442318743152697161001568419087509294325450898231195710148861288127472974831451146247440863256127725501374304945511852921372954901920090592482029981516780279386335333921207306677982375513258470386825758508542592480559501168682024648142921780071214660558506998173439169180136459161830331735240124562216436496350629500632874390340035690759820681494935772097969813650840328472902463794632825991533313315515675188336429588126821975612133696440400287212472759373686615425488260335452249910034862293945846649171245216462504964207367944048128997395376252806105987564396074387378924181858543475370319310422015691336845716964663241634616176151024862306371070336665543371367421626538089380172278060815028181902226025364249300365335518553094028480393236133463932967354496152154987546449101685333241629451913603963336280921348970277621349571936249411069096301631367938307425173004530893683254529607402138789417745797300213663387776399123700040060411797681547686440806143387178225406472923416857121514687615992237521186836981475118427061845329898009693952935694048272630597361046483407403566261336857919543350942660650718123767112536895405098397848751298030950841536371336006282178298203990570005915206686696834349323693651935353417222794520202853270958787572057406368936240046124564190461490121658133318263156025953138007806020075063664053512334808878912927583094079475450046637630434031841918725325417421549599145457976451804720718253500696337681404554668923314345526764655013619124923583562659001350851862159286162219306042843258581291113244198738982964758490617656169382782149838532292991445979553997933504839708557842424779092097443028021655065051167573236359343045157735977268722686034485121207587473905167057047579051829948552908466626000950300336433937325876769855208440621805193998266508513646204502695259426813190915965590245865273053901905471193605149137310686487690695877154466725747260691565370142647923733328820719807405236709809788494757637164051423977715260928245471188327978001777522817572497968212638213481022811171466032611043521417250158817953840526654979745675979037429297987662741108441458526077387140847572079354089158149132618821802608518175661197122043494030398660839231092279720943854601608457657137632098256856162869821980818852272717733716620211523537060992669505066015670194010790618665725432501543660052598607851928035485098691011382952401220359293256638463672729450396864794279298419379465640068958770720940631563422678455979019548050671179166003}
30304  708115719326960571104333691905058397171813360591636431651916658038465462106226377594741: {333223,848204,1211720,1363185,1454064,1635822,1876802,2602274,3050503,3231079,3511436,3689402,3753356,4775234,4962476,5032879,5687564,5751583,7006543,7022408,7136876,7722079,7900209,8793223,9825314,10755116,11459743,11622074,11718764,11980994,12441164,12698402,12875263,13644524,13933879,14620893,15808556,16744183,16769516,16793745,17405825,17443879,17913328,18773114,18979917,19013983,19513185,19649324,20069673,20128844,20152494,20814064,20886990,21806156,22279456,22429329,22827463,23003276,23415822,23721164,24205543,24366545,24399176,25064388,25159802,25395116,25921663,26047833,26219714,27449073,27545036,27630583,28182301,28303385,28482343,28652479,28976876,29239854,29743394,30954957,31009325,31026823,31631105,32040079,32201402,32208703,32551436,33056456,33094185,33447245,33555103,33658233,33964062,34222929,34394263,34809350,35300464,35810593,36747554,36938913,37067479,37188513,37211190,37233943,37306316,37444802,37957326,38018444,39185402,39622121,39669549,39691936,39713022,39880634,40069325,40136694,40260430,40290701,40922402,41372143,41771220,42285164,42850879,43130408,43348154,43506223,44555968,44650303,44651084,44653428,45062493,45360236,45832844,45953503,45963421,46116079,47613137,47829993,48083190,48263105,48312516,48521709,48546079,48866234,49355745,49513543,50008209,50080556,50125464,50316236,50431486,50583074,50959879,51157990,51288736,51600823,51729644,52646128,52657773,53198143,53612396,53645825,53994103,54005954,54608936,54848689,55258124,55431753,55728044,56360878,56391147,56529079,56603030,57317479,57471945,57472808,57514900,57699828,57915726,58094402,59156345,59226894,60296983,60334376,60469754,60602542,60609103,61303408,61389588,61435053,61485602,61511289,62010079,62687825,63714463,63850874,64374990,64398476,64622408,64656909,65099564,65536034,65662030,65717503,65871079,65872634,66318513,66823053,67250023,67830189,67876173,67923636,68224802,68600684,68666656,68927479,68966334,69017880,69900602,70293463,70673217,70977345,70987614,71616454,71619513,72044980,72700209,73227725,73257644,73458079,73619072,73675185,74206879,74240834,74356423,74573645,74884556,75225390,75709168,75847903,76442479,76464493,77205273,77249988,77645115,78133676,78172985,78355270,78586864,78760077,78794436,79398079,79879802,80019185,80240416,80515540,80576078,80750225,81559977,82189634,82470463,82821456,82995596,84163874,84210797,85074956,85172814,85261325,85343713,85805114,85996078,85998284,86453976,86575060,86690444,87148185,87873270,88096802,88410222,88750274,89076794,89488374,89657863,89839545,90270468,90707234,90837356,91297484,91778983,92958064,93174138,93604183,93731488,93802900,93807582,94023753,94026324,94082345,94442479,95695063,95828848,95972623,96023022,96193361,96526879,96618648,96665263,96900270,97161649,97192994,97260723,97496684,97769743,97907479,98483234,99222109,99361689,...,33630448558703587757819092363736344039043671071328300076700744162232195671126618818980398172410384143898299142953916332264853032736856451114349146808847540987810986881518974792472967161314666988928847758698546665943494813069273870725454686205538379004979895291441144294182546514841446280532908122597064397672981022982118112180382743625869629898153508752585302110201618719478503376997737302386213996926981272410922194372655052127319766692504287060226968331140869515584239315763342875462778336670537301893582808882298813889686963059311369025852849224242891583919877110532597598351603105010590058135875468703965457573243302580790878235905735855263905392010069953222413642222923556717506153235638712895555515964687640342903116500262141009975143632263974709371824013467482288839019587409727940972863548215033031990297435876112753278025146964380816921167731059006805172916236701737380629352420414907021502278758771086666406294199938944189713238648791285674315947467670269904367960550150231209683917587284253766735216045361660853228552716620848228514639333951387754805040694780955423649731358171540511654404986805212452753821602337713801670486045143708522386939985030398168372357453088637620911736545412501589198132344500206831158637462344042216096984437411063648861333309652188444312096619083363314146063979170379779475380605426375615526375258326124855429894675500496674308303151857136238784227327121186370726423720197205444799894045523805444956038728059389385161598646316825791846191144710246385302688814736329990192644190689122538028924039675816087654442374551362892617909779552284581440402288424772079406340306580360340448975288852342217116577183822498898490498490455247626668057022881272726764780597036908102243613403710846470156201019941344577345230188398207914071844466717233032009080840976472083538783048112728050643343795893708765316822922025762135440711141221219145016527812457798056095817333121761074416566416750117856924164087934357322719643391684539177623356017079242527786540134019782987307975263240214001211305323095192955872850295418440874551170181246702302886212071027947332590673909154200579512415601918017501351334836317830700442622962923877045391238106984333209498249757353846991982677515406739581367923797565303376197164833290152917896575354583673160347222021132623677411941812346256869385974316773258722608848802233625486929620102640568382968589758324203596214668757892116679059100601197641594280198481717503297299775268194996587817674836967335165739927349137228497273202560120789976039975355707039181780445228276408903976500684344627182434344678056789974079334891576032864190562373428286214078009330897918892240181945549107108980320166082955248661800839334177165853786714254346427575326581029463959751534453771297203285059510434655377751087354233584448572784169095967482844928587200382949963679164915487233984347113936333213379816391927795532228326955283339952276490592064171996527168337074807983419194765849838565575811391300493759080562687588449127622619550988846154901534699816408494760448887391161823228835384119173563037414420037575869634700485665733820447358070792037973857648177951910623139328202873316728598802247110988839269218138617781707895131960370161799429248332548092128402175157251076566897339374524911006039476536185052556994396400284884517035198831600053413882396908730248587741524516237633875297231222476162019583487989650028249115975300157902749127106530679591937247592064363507463148061977876538088348449143892724467923547534290831689483382527206797863798335064041267788715161781341709571064271987426674553608915595779132431591535913804556297059360270471027945050096076541825248320061499418920615320162210844424350874701270850677074693433418218738016446411838550570110792105967266728850173912042455891633767223228732798860610635269072960957671334261783575206072891897752460702352873351492166564778083545335134469149545714882959074723791011441721484325598318643953011320823541559177042866451376390655261306071997244673119611410456566372122796590704028873420068223430981812457393543647969691630248045980161610116631873556076063438735773264737211288834667933733781911916434502359806944587495740258664355344684861606003593679235750921221287453661153697405202540628258140198849747581983587594502872622300996347588753826856863898311105094293076540315613079717993010182885401898636953681237660628251103970669036697090096663957616850951308030414895288043481391361889666878423938454035539972994234638716572397316883654811255278034769849521130096105805452210865510158429070144690900881596162724658707198214452308123039627925139468811276876183509464342474883826429307758469696956978288826948698049414656892673421354226925347720824887633910002058213403464810469237380646798254681843936534960479057675517951563639267195819725705731225839287520091945027627920842084563571274638692730734228238888004}
30305  710305762674913474619380907674896869857213272515030227769976651782455944139232584316170: {1060255,1272306,1514650,1817580,1938752,2181096,2453733,2815203,3903411,4389295,4691695,5267154,5534103,5630034,6144607,6203095,7109455,7162851,7443714,7658563,8531346,8748319,8778010,8921095,9050431,9776887,10533612,10705314,13443895,13644103,14648455,14737971,14917687,14953874,15316114,15551455,15674162,16007011,16132674,17055655,17433111,17495482,17578146,17630503,17971491,18212306,18661746,19047603,19494524,19760695,20178751,20466786,20961895,21349279,22391660,23604163,23712834,24162559,24388754,24561655,25154274,25161055,25306556,26017580,26759564,26869992,27257695,27582643,27849320,28159671,28517263,28754095,28924399,29103386,29473986,29651455,29905772,30193266,30228741,30498970,30887906,31221096,31330485,31743895,32220199,32709234,33419184,34431295,34504914,34730444,34944871,35123733,35530099,35581746,35638034,36221095,36598764,37514983,37596582,37739107,37739703,38092674,38986472,39329571,40689295,41012611,41273276,41317554,41320570,43465314,43859781,44125580,44615091,44877644,45285416,45630572,46065362,46452751,46632895,47523055,47630131,47782819,48302103,48827154,49251884,49334563,49413794,49584684,49614920,50288707,50609768,50804863,50946093,51063127,51364183,51831079,52046599,52214025,52648466,52792579,52856455,52892732,52950696,53515592,53640482,53913010,54878851,54899239,55121331,55694960,55813855,55816785,55959474,56167203,56544607,56700295,56935989,57027666,57291055,58123202,58778103,59137474,59537904,59569533,59820951,59954983,60083324,60205041,60390645,61383603,62053394,62600695,62656830,62895295,63246403,63427746,63773324,63939751,64110920,64416688,64662055,64695612,65022231,65117599,65220199,65648503,65807660,66245522,66476803,66677612,66736099,66833952,66976626,66980142,67015495,67737631,68040354,68261170,68749266,68763506,69072655,69181327,69660055,70056914,70072951,70110463,70210364,71841010,71893625,72124785,72468774,73299351,73764163,73909004,75120834,75188196,75417970,75474354,75537703,75647229,75874611,76342087,76625011,76629260,76736985,76933104,77220968,77361679,77594466,77912647,78409231,78969192,79327519,80418594,80498095,80778010,80840786,81008931,81338306,81374455,81852784,81913404,82015052,82887186,82951159,83592066,83805314,83850242,84541317,84904545,85232866,85317847,85532954,85750855,85833320,86209212,86272350,86549742,86574799,86873589,86924002,87141603,87635107,88424684,88840341,89097404,90056225,90108739,90440252,90501564,90564848,90704631,90903813,91048711,91376122,91572055,91621687,91955112,92023840,92084382,92228403,92770183,93424243,93605695,93614407,94230956,94636460,94650152,95492684,95567587,95776311,96169586,96283999,96562485,96597714,96933612,97649346,97667095,97724959,98233580,98304051,98493045,98808951,98981431,99983107,...,50445672838055381636728638545604516058565506606992450115051116243348293506689928228470597258615576215847448714430874498397279549105284676671523720213271311481716480322278462188709450741972000483393271638047819998915242219603910806088182029308307568507469842937161716441273819772262169420799362183895596596509471534473177168270574115438804444847230263128877953165302428079217755065496605953579320995390471908616383291558982578190979650038756430590340452496711304273376358973645014313194167505005805952840374213323448220834530444588967053538779273836364337375879815665798896397527404657515885087203813203055948186359864953871186317353858603782895858088015104929833620463334385335076259229853458069343333273947031460514354674750393211514962715448395962064057736020201223433258529381114591911459295322322549547985446153814169129917037720446571225381751596588510207759374355052606070944028630622360532253418138156629999609441299908416284569857973186928511473921201505404856551940825225346814525876380926380650102824068042491279842829074931272342771959000927081632207561042171433135474597037257310767481607480207818679130732403506570702505729067715562783580409977545597252558536179632956431367604818118752383797198516750310246737956193516063324145476656116595473291999964478282666468144928625044971219095968755569669213070908139563423289562887489187283144842013250745011462454727785704358176340990681779556089635580295808167199841068285708167434058092089084077742397969475238687769286717065369577954033222104494985288966286033683807043386059513724131481663561827044338926864669328426872160603432637158119109510459870540510673462933278513325674865775733748347735747735682871440002085534321909090147170895555362153365420105566269705234301529912016866017845282597311871107766700075849548013621261464708125308174572169092075965015693840563147975234383038643203161066711831828717524791718686697084143725999682641611624849625125176785386246131901535984079465087526808766435034025618863791679810201029674480961962894860321001816957984642789433809275443127661311826755271870053454329318106541920998886010863731300869268623402877026252027002254476746050663934444385815568086857160476499814247374636030770487974016273110109372051885696347955064295747249935229376844863031875509740520833031698935516117912718519385304078961475159888083913273203350438230394430153960852574452884637486305394322003136838175018588650901796462391420297722576254945949662902292494881726512255451002748609891023705842745909803840181184964059963033560558772670667842414613355964751026516940773651517017085184961119002337364049296285843560142429321117013996346878338360272918323660663470480249124432872992701259001265748780680071381519641362989871544195939627301680656945804927589265651983066626631031350376672859176253643951224267392880800574424945518747373230850976520670904499820069724587891693298342490432925009928414735888096257994790752505612211975128792148774757848363717086950740638620844031382673691433929326483269232352302049724612742140673331086742734843253076178760344556121630056363804452050728498600730671037106188056960786472266927865934708992304309975092898203370666483258903827207926672561842697940555242699143872498822138192603262735876614850346009061787366509059214804277578835491594600427326775552798247400080120823595363095372881612286774356450812945846833714243029375231984475042373673962950236854123690659796019387905871388096545261194722092966814807132522673715839086701885321301436247534225073790810196795697502596061901683072742672012564356596407981140011830413373393668698647387303870706834445589040405706541917575144114812737872480092249128380922980243316266636526312051906276015612040150127328107024669617757825855166188158950900093275260868063683837450650834843099198290915952903609441436507001392675362809109337846628691053529310027238249847167125318002701703724318572324438612085686517162582226488397477965929516981235312338765564299677064585982891959107995867009679417115684849558184194886056043310130102335146472718686090315471954537445372068970242415174947810334114095158103659897105816933252001900600672867874651753539710416881243610387996533017027292409005390518853626381831931180491730546107803810942387210298274621372975381391754308933451494521383130740285295847466657641439614810473419619576989515274328102847955430521856490942376655956003555045635144995936425276426962045622342932065222087042834500317635907681053309959491351958074858595975325482216882917052154774281695144158708178316298265237643605217036351322394244086988060797321678462184559441887709203216915314275264196513712325739643961637704545435467433240423047074121985339010132031340388021581237331450865003087320105197215703856070970197382022765904802440718586513276927345458900793729588558596838758931280137917541441881263126845356911958039096101342358332006}
30306  712502540045763659630730294220167149294908583331726250408573220009000927198533158535876: {393809,666446,1119953,1422173,1603409,1696408,1908459,2271975,2423440,2508509,2726370,2908128,3110909,3271644,3291473,3753604,4133153,5033213,5204548,5213009,5811809,5931473,6101006,6462158,7022872,7378804,7506712,7900731,8318033,8445051,8793809,9506513,9550468,9924952,10065758,10395773,10750973,11165571,11342333,11375128,11503166,11637713,12797019,12935009,13111613,13167015,13229309,14013086,14044816,14273752,14521853,14990909,15444158,15800418,16057971,16278173,17586446,19073309,19650628,19943009,20058833,21273053,21510232,21677009,21850013,22430811,22713953,22919486,22974171,23244148,23437528,23511243,23961988,24199011,24264509,24368155,24882328,25123409,25396804,25409309,25750526,25809233,25980509,26243223,26367219,26664893,27006653,27289048,27318459,27867758,27989575,27992619,28370813,29241786,29560673,29843453,30700179,31085309,31617112,31633195,32042273,32521975,33449455,33488366,33539032,33587490,33613409,34113163,34811650,34887758,35569251,35735633,35826656,36583131,37125533,37236509,37382215,37402913,37546228,37624673,37731411,37959834,38027966,38455133,39026370,39298648,39624739,39725009,40139346,40257688,40304988,41210333,41539613,41628128,41758973,41773980,42908513,43017809,43181693,43413055,43612312,43655079,44210979,44283547,44558912,44653409,44858658,45289899,45468509,45654926,45748455,46006552,46173473,46331859,46444253,46826143,46831644,46931153,47442328,47471393,47616283,47633309,48411086,48603293,48733090,48798352,48872273,49063851,49517009,49892573,50128776,50214173,50319604,50790232,51016913,51591595,51757371,51843326,52095666,52439428,53095613,53255009,53361233,53372619,53457051,54315809,54898146,55090072,55156975,55261166,56097055,56269853,56270071,56364602,56394873,56533073,56585693,56606770,56964686,57038215,57058913,57139011,57304958,57321533,57374033,57953752,58479708,58893053,59486788,60353309,61564855,61909914,61976331,61980855,62014493,62018650,62053646,62790353,63262210,64079453,64080158,64402804,64417406,64645073,65102872,65197971,65414813,66112912,66115915,66188370,66693713,66894490,67110206,67316466,67560509,67568347,67928124,68445858,68475773,68788526,69098043,69590909,69618700,70500413,70600928,70601309,70954193,71621186,72261473,72462113,72863009,73240731,73495108,73513373,73877826,74120691,74134958,74262113,74377026,74422380,74467886,74612632,74889604,75104155,75914652,76036888,76200413,76448033,76942673,77485853,78370804,78421793,78962333,78972699,79244242,79339098,79383872,79403873,79426044,79697873,79716655,79761268,80138650,80273388,80431613,80460723,80520860,80581402,80869515,81163553,81844804,82259575,82476509,82744286,82818883,83347015,83542013,83542440,83939211,84555473,84570328,85541499,85701758,85853309,86260816,86696308,86810909,87012446,87184803,87431633,87762955,88706211,89111936,89300606,89302168,89306856,89427809,89569853,90124986,90231773,90514973,90720472,91665688,91785809,91907006,91926842,92232158,92386255,92816993,93050813,93080091,93985245,94496033,94914173,95141619,95226274,95659986,95748509,95786575,95979809,96166380,96303293,96441809,96526210,96625032,96672509,96995153,97043418,97092158,97501373,97732468,97823009,98648273,98711490,99027086,99197009,99368283,99521851,99972413,...,75668509257083072455092957818406774087848259910488675172576674365022440260034892342705895887923364323771173071646311747595919323657927015007285580319906967222574720483417693283064176112958000725089907457071729998372863329405866209132273043962461352761204764405742574661910729658393254131199043275843394894764207301709765752405861173158206667270845394693316929747953642118826632598244908930368981493085707862924574937338473867286469475058134645885510678745066956410064538460467521469791251257508708929260561319985172331251795666883450580308168910754546506063819723498698344596291106986273827630805719804583922279539797430806779476030787905674343787132022657394750430695001578002614388844780187104014999910920547190771532012125589817272444073172593943096086604030301835149887794071671887867188942983483824321978169230721253694875556580669856838072627394882765311639061532578909106416042945933540798380127207234944999414161949862624426854786959780392767210881802258107284827911237838020221788814571389570975154236102063736919764243612396908514157938501390622448311341563257149703211895555885966151222411220311728018696098605259856053758593601573344175370614966318395878837804269449434647051407227178128575695797775125465370106934290274094986218214984174893209937999946717423999702217392937567456828643953133354503819606362209345134934344331233780924717263019876117517193682091678556537264511486022669334134453370443712250799761602428562251151087138133626116613596954212858031653930075598054366931049833156742477933449429050525710565079089270586197222495342740566508390297003992640308240905148955737178664265689805810766010194399917769988512298663600622521603621603524307160003128301482863635220756343333043230048130158349404557851452294868025299026767923895967806661650050113774322020431892197062187962261858253638113947523540760844721962851574557964804741600067747743076287187578030045626215588999523962417437274437687765178079369197852303976119197631290213149652551038428295687519715301544511721442944342290481502725436976964184150713913164691491967740132907805080181493977159812881498329016295596951303902935104315539378040503381715119075995901666578723352130285740714749721371061954046155731961024409665164058077828544521932596443620874902844065267294547813264610781249547548403274176869077779077956118442212739832125869909805025657345591645230941278861679326956229458091483004705257262527882976352694693587130446583864382418924494353438742322589768383176504122914836535558764118864705760271777446089944550340838159006001763621920033947126539775411160477275525627777441678503506046073944428765340213643981675520994520317507540409377485490995205720373686649309489051888501898623171020107072279462044484807316293909440952520985418707391383898477974599939946547025565009288764380465926836401089321200861637418278121059846276464781006356749730104586881837539947513735649387514892622103832144386992186128758418317962693188223162136772545575630426110957931266047074010537150893989724903848528453074586919113211009996630114102264879614268140516834182445084545706678076092747901096006555659282085441179708400391798902063488456464962639347305055999724888355740811890008842764046910832864048715808748233207288904894103814922275519013592681049763588822206416368253237391900640990163329197371100120181235393044643059322418430161534676219418770250571364544062847976712563560510944425355281185535989694029081858807082144817891792083139450222210698784010573758630052827981952154371301337610686215295193546253894092852524609114008018846534894611971710017745620060090503047971080955806060251668383560608559812876362716172219106808720138373692571384470364974399954789468077859414023418060225190992160537004426636738782749282238426350139912891302095525756175976252264648797436373929355414162154760502089013044213664006769943036580293965040857374770750687977004052555586477858486657918128529775743873339732596216948894275471852968508148346449515596878974337938661993800514519125673527274337276292329084064965195153502719709078029135473207931806168058103455363622762421715501171142737155489845658725399878002850901009301811977630309565625321865415581994799525540938613508085778280439572747896770737595819161705716413580815447411932059463072087631463400177241782074696110427943771199986462159422215710129429365484272911492154271933145782784736413564983934005332568452717493904637914640443068433514398097833130564251750476453861521579964939237027937112287893962988223325324375578232161422542716238062267474447397856465407825554526983591366130482091195982517693276839162831563804825372971412896294770568488609465942456556818153201149860634570611182978008515198047010582032371855997176297504630980157795823555784106455296073034148857203661077879769915391018188351190594382837895258138396920206876312162821894690268035367937058644152013537498009}
30307  714706072025315351425553652256483474370109114902534815058174590410401044436182540269161: {30307,999669,1484357,2120510,2544612,3029300,3635160,3877504,4089555,4362192,4692005,4907466,5630406,6145013,6505685,6568373,7806822,8684333,8778590,9051029,9151509,9223505,9383390,9693237,9777533,9953237,10534308,10927109,11068206,11260068,11938085,12289214,12315413,12406190,12489533,14218910,14309669,14325702,14887428,15098637,15317126,15946493,16124849,16672709,17062692,17254749,17496638,17556020,17842190,18100862,18821453,19029137,19553774,20507837,20836049,21019629,21067224,21410628,21570389,21772037,23166237,23700627,23877917,24269069,24563285,26379669,26887790,27005213,27288206,27664973,27895829,29055185,29296910,29346653,29475942,29835374,29907748,29908349,29952485,30632228,31102910,31348324,31746005,32014022,32265348,32448593,32597669,34111310,34379229,34386317,34423997,34866222,34990964,35156292,35225477,35261006,35942982,36194213,36424612,37323492,38078417,38095206,38160773,38625789,38989048,39521390,40255733,40357502,40573373,40933572,41512037,41801637,41923790,41990117,42146093,42402869,42698558,43862679,44335889,44441453,44783320,46932785,47208326,47425668,48203813,48325118,48777508,49123310,49656389,50232549,50308548,50322110,50381235,50613112,50709533,50724269,52035160,52050053,52217475,52331637,52557797,52857437,53283149,53519128,53739984,54028469,54515390,55165286,55698640,55925393,56319342,56939751,56965013,57034526,57041949,57508190,57848798,57928853,58206772,58539555,58699973,58947972,59302910,59811544,60209019,60386532,60457482,60997940,61357973,61509617,61775812,62442192,62660970,62899505,63487790,63908669,64440398,65286053,65418468,65549285,65882333,65950613,66532277,66838368,67287987,67347197,68349389,68482389,68850869,68862590,69009828,69460888,69889742,70247466,70855889,71060198,71163492,71276068,71498789,72442190,72616629,72778493,73099635,73197528,73952453,73999037,74358485,74745749,74873237,75029966,75193164,75478214,75479406,76185348,77078417,77366813,77764989,77972944,78139397,78143499,78659142,79222469,79380413,80207477,80424977,80503505,81378590,81562097,82025222,82347219,82546552,82635108,82641140,82891749,83285933,84546903,84899153,84910155,85323509,85447029,85957437,86463053,86930628,86997557,87023375,87175829,87640973,87719562,88053413,88251160,89230182,89755288,90526877,90570832,91261144,91868885,92130724,92645393,92704277,92864871,92905502,93027975,93080469,93265790,93430469,93612005,93821693,94893315,95046110,95260262,95364209,95565638,96120237,96604206,96626109,96701717,97524077,97654308,97775693,97963505,98503768,98669126,98748257,98827588,99169368,99229840,99282555,99386033,99701585,...,100891345676110763273457277091209032117131013213984900230102232486696587013379856456941194517231152431694897428861748996794559098210569353343047440426542622963432960644556924377418901483944000966786543276095639997830484439207821612176364058616615137014939685874323432882547639544524338841598724367791193193018943068946354336541148230877608889694460526257755906330604856158435510130993211907158641990780943817232766583117965156381959300077512861180680904993422608546752717947290028626388335010011611905680748426646896441669060889177934107077558547672728674751759631331597792795054809315031770174407626406111896372719729907742372634707717207565791716176030209859667240926668770670152518459706916138686666547894062921028709349500786423029925430896791924128115472040402446866517058762229183822918590644645099095970892307628338259834075440893142450763503193177020415518748710105212141888057261244721064506836276313259999218882599816832569139715946373857022947842403010809713103881650450693629051752761852761300205648136084982559685658149862544685543918001854163264415122084342866270949194074514621534963214960415637358261464807013141405011458135431125567160819955091194505117072359265912862735209636237504767594397033500620493475912387032126648290953312233190946583999928956565332936289857250089942438191937511139338426141816279126846579125774978374566289684026501490022924909455571408716352681981363559112179271160591616334399682136571416334868116184178168155484795938950477375538573434130739155908066444208989970577932572067367614086772119027448262963327123654088677853729338656853744321206865274316238219020919741081021346925866557026651349731551467496695471495471365742880004171068643818180294341791110724306730840211132539410468603059824033732035690565194623742215533400151699096027242522929416250616349144338184151930031387681126295950468766077286406322133423663657435049583437373394168287451999365283223249699250250353570772492263803071968158930175053617532870068051237727583359620402059348961923925789720642003633915969285578867618550886255322623653510543740106908658636213083841997772021727462601738537246805754052504054004508953492101327868888771631136173714320952999628494749272061540975948032546220218744103771392695910128591494499870458753689726063751019481041666063397871032235825437038770608157922950319776167826546406700876460788860307921705148905769274972610788644006273676350037177301803592924782840595445152509891899325804584989763453024510902005497219782047411685491819607680362369928119926067121117545341335684829226711929502053033881547303034034170369922238004674728098592571687120284858642234027992693756676720545836647321326940960498248865745985402518002531497561360142763039282725979743088391879254603361313891609855178531303966133253262062700753345718352507287902448534785761601148849891037494746461701953041341808999640139449175783386596684980865850019856829471776192515989581505011224423950257584297549515696727434173901481277241688062765347382867858652966538464704604099449225484281346662173485469686506152357520689112243260112727608904101456997201461342074212376113921572944533855731869417984608619950185796406741332966517807654415853345123685395881110485398287744997644276385206525471753229700692018123574733018118429608555157670983189200854653551105596494800160241647190726190745763224573548712901625891693667428486058750463968950084747347925900473708247381319592038775811742776193090522389444185933629614265045347431678173403770642602872495068450147581620393591395005192123803366145485344025128713192815962280023660826746787337397294774607741413668891178080811413083835150288229625475744960184498256761845960486632533273052624103812552031224080300254656214049339235515651710332376317901800186550521736127367674901301669686198396581831905807218882873014002785350725618218675693257382107058620054476499694334250636005403407448637144648877224171373034325164452976794955931859033962470624677531128599354129171965783918215991734019358834231369699116368389772112086620260204670292945437372180630943909074890744137940484830349895620668228190316207319794211633866504003801201345735749303507079420833762487220775993066034054584818010781037707252763663862360983461092215607621884774420596549242745950762783508617866902989042766261480570591694933315282879229620946839239153979030548656205695910861043712981884753311912007110091270289991872850552853924091244685864130444174085669000635271815362106619918982703916149717191950650964433765834104309548563390288317416356632596530475287210434072702644788488173976121594643356924369118883775418406433830628550528393027424651479287923275409090870934866480846094148243970678020264062680776043162474662901730006174640210394431407712141940394764045531809604881437173026553854690917801587459177117193677517862560275835082883762526253690713823916078192202684716664012}
30308  716916379261937638568381942350474423754011894956172575228370608564167067282765969593493: {787618,1120027,1332892,2026147,2239906,2844346,2930467,3180765,3206818,3392816,3786625,3816918,3832987,4193491,4543950,4846880,5017018,5452740,5816256,5991691,6221818,6350467,6543288,6582946,7361199,7507208,8266306,8445609,10066426,10409096,10426018,10455691,11623618,11710233,11862946,12202012,12924316,13167885,13641907,14045744,14075085,14757608,15013424,15801462,16279267,16602309,16636066,16890102,17587618,18433821,18609285,19013026,19100936,19849904,20131516,20791546,20985691,21328365,21488553,21501946,21505387,21851491,21945025,22331142,22684666,22750256,22975689,23006332,23275426,25594038,25870018,26223226,26244957,26334030,26458618,26666707,26763285,27008491,27151293,28026172,28089632,28547504,29043706,29223067,29330661,29902027,29981818,30410491,30888316,31600836,31763227,32115942,32556346,32606347,32943091,34115417,34119427,35172892,35793787,36294691,37384685,37460947,38146618,38290285,39185405,39301256,39886018,39948187,40117666,40331685,40443691,40932309,41268091,42419227,42546106,43020464,43354018,43700026,43738705,43945365,44213913,44286473,44547691,44753061,44861622,45363091,45427906,45530765,45838972,45851467,45948342,46488296,46501627,46654365,46829237,46875056,47022486,47923976,48021033,48398022,48529018,48736310,49764656,50217691,50246818,50793608,50818618,51166965,51501052,51618466,51961018,52141387,52299333,52335101,52486446,52734438,52891509,52939867,53329786,53418091,53914473,54013306,54578096,54636918,55735516,55979150,55985238,56273789,56589691,56741626,56905267,57142809,57378091,58483572,58949491,59121346,59282085,59686906,60536253,60778277,60971885,61400358,62170618,62263333,62381227,62846491,62885685,63156307,63234224,63266390,63929587,64047837,64084546,64701067,65043950,65470747,65624467,66500993,66698491,66898910,66976732,67078064,67174980,67226818,68226326,69623300,69775516,70812489,70959307,71138502,71471266,71653312,72228233,72467347,72487677,72758465,73166262,73684965,73968187,74251066,74473018,74764430,74805826,75092456,75249346,75462822,75483165,75919668,76055932,76205947,76247425,76910266,77219765,78052740,78279907,78535877,78597296,79249478,79450018,79853501,80278692,80515376,80609976,81218227,81773085,82420666,82747929,82822027,83079226,83112691,83256256,83517946,83547960,83548147,84479013,85551789,85817026,86035618,86190797,86262285,86290987,86363386,86773197,86826110,87151747,87224624,87310158,88421958,88567094,88954365,89095085,89117824,89306818,89717316,90568867,90579798,90686223,90937018,91309852,91496910,92013104,92346946,92562281,92663718,92888506,93104491,93652286,93663288,93862306,93991455,94884656,94942786,95231685,95232566,95266618,95477827,96310507,96660597,96822172,97206586,97466180,97596704,97744546,98127702,99034018,99785146,...,151337018514166144910185915636813548175696519820977350345153348730044880520069784685411791775846728647542346143292623495191838647315854030014571160639813934445149440966835386566128352225916001450179814914143459996745726658811732418264546087924922705522409528811485149323821459316786508262398086551686789789528414603419531504811722346316413334541690789386633859495907284237653265196489817860737962986171415725849149874676947734572938950116269291771021357490133912820129076920935042939582502515017417858521122639970344662503591333766901160616337821509093012127639446997396689192582213972547655261611439609167844559079594861613558952061575811348687574264045314789500861390003156005228777689560374208029999821841094381543064024251179634544888146345187886192173208060603670299775588143343775734377885966967648643956338461442507389751113161339713676145254789765530623278123065157818212832085891867081596760254414469889998828323899725248853709573919560785534421763604516214569655822475676040443577629142779141950308472204127473839528487224793817028315877002781244896622683126514299406423791111771932302444822440623456037392197210519712107517187203146688350741229932636791757675608538898869294102814454356257151391595550250930740213868580548189972436429968349786419875999893434847999404434785875134913657287906266709007639212724418690269868688662467561849434526039752235034387364183357113074529022972045338668268906740887424501599523204857124502302174276267252233227193908425716063307860151196108733862099666313484955866898858101051421130158178541172394444990685481133016780594007985280616481810297911474357328531379611621532020388799835539977024597327201245043207243207048614320006256602965727270441512686666086460096260316698809115702904589736050598053535847791935613323300100227548644040863784394124375924523716507276227895047081521689443925703149115929609483200135495486152574375156060091252431177999047924834874548875375530356158738395704607952238395262580426299305102076856591375039430603089023442885888684580963005450873953928368301427826329382983935480265815610160362987954319625762996658032591193902607805870208631078756081006763430238151991803333157446704260571481429499442742123908092311463922048819330328116155657089043865192887241749805688130534589095626529221562499095096806548353738155558155912236884425479664251739819610051314691183290461882557723358653912458916182966009410514525055765952705389387174260893167728764837848988706877484645179536766353008245829673071117528237729411520543554892179889100681676318012003527243840067894253079550822320954551051255554883357007012092147888857530680427287963351041989040635015080818754970981990411440747373298618978103777003797246342040214144558924088969614632587818881905041970837414782767796955949199879893094051130018577528760931853672802178642401723274836556242119692552929562012713499460209173763675079895027471298775029785244207664288773984372257516836635925386376446324273545091151260852221915862532094148021074301787979449807697056906149173838226422019993260228204529759228536281033668364890169091413356152185495802192013111318564170882359416800783597804126976912929925278694610111999449776711481623780017685528093821665728097431617496466414577809788207629844551038027185362099527177644412832736506474783801281980326658394742200240362470786089286118644836860323069352438837540501142729088125695953425127121021888850710562371071979388058163717614164289635783584166278900444421397568021147517260105655963904308742602675221372430590387092507788185705049218228016037693069789223943420035491240120181006095942161911612120503336767121217119625752725432344438213617440276747385142768940729948799909578936155718828046836120450381984321074008853273477565498564476852700279825782604191051512351952504529297594872747858710828324309521004178026088427328013539886073160587930081714749541501375954008105111172955716973315836257059551487746679465192433897788550943705937016296692899031193757948675877323987601029038251347054548674552584658168129930390307005439418156058270946415863612336116206910727245524843431002342285474310979691317450799756005701802018603623955260619131250643730831163989599051081877227016171556560879145495793541475191638323411432827161630894823864118926144175262926800354483564149392220855887542399972924318844431420258858730968545822984308543866291565569472827129967868010665136905434987809275829280886136867028796195666261128503500952907723043159929878474055874224575787925976446650648751156464322845085432476124534948894795712930815651109053967182732260964182391965035386553678325663127609650745942825792589541136977218931884913113636306402299721269141222365956017030396094021164064743711994352595009261960315591647111568212910592146068297714407322155759539830782036376702381188765675790516276793840413752624325643789380536070735874117288304027074996018}
30309  719133482466753515937888197340235421869013899406080428227996330313183501611374513780636: {60614,1181427,1666115,1999338,2968714,3359859,4241020,4266519,4810227,5089224,5725377,6058600,6568807,6815925,7270320,7525527,7755008,8179110,8724384,9107959,9332727,9384010,9655811,9814932,9874419,10927831,11260812,11835179,12290026,12399459,12912907,13011370,13136746,14554579,15099639,15252515,15613644,15639027,16155395,16713319,16911427,17368666,17435427,17557180,17794419,17822551,18102058,18303018,18447010,18766780,19386474,19555066,19906474,21068616,21267859,21854218,22136412,22520136,23702193,23876170,24578428,24630826,24812380,24954099,24979066,25164395,25335153,26381427,28437820,28519539,28619338,28651404,28681627,28757915,29774856,30197274,30634252,31187319,31892986,32249698,32252919,33345418,33496713,33548867,34026999,34125384,34388599,34509498,34686427,34913139,34993276,35032715,35112040,35684380,36201724,37642906,38058274,38391057,38473879,38610395,38805027,39107548,39334839,39501045,39687927,40677259,41015674,41672098,41933479,42039258,42134448,42774979,42821256,43140778,43544074,43565559,43966115,44444407,44972727,45346711,45452627,45697139,46332474,47401254,47755834,48173913,48538138,48834519,49126570,49809019,52759338,53775580,54010426,54576412,55329946,55791658,55882327,57219927,57298715,57657527,58110370,58593820,58693306,58951884,59075959,59304311,59670748,59815496,59816698,59829027,59904970,60176499,61264456,61513699,61813259,62205820,62504851,62696648,62748247,63492010,63819159,63851827,64028044,64376315,64530696,64897186,65031027,65195338,65550039,65705899,67168547,67292433,68141859,68186227,68222620,68758458,68772634,68847994,68922513,69669395,69732444,69981928,70312584,70450954,70522012,70533729,71885964,72388426,72597033,72684179,72793527,72849224,73104465,74646984,75087287,75370227,75528427,76156834,76190412,76227927,76321546,77251578,77427699,77860939,77941527,77978096,78729669,79025111,79042780,79101657,79994679,80511466,80715004,81019959,81146746,81867144,81955377,82959767,83024074,83603274,83720915,83752919,83847580,83968725,83977857,83980234,84292186,84805738,84840227,85112439,85397116,86468791,87029125,87219395,87725358,87903467,88059307,88579979,88671778,88682019,88855811,88882906,89530359,89566640,89886739,90754267,91633859,91768999,92100537,93255927,93865570,94416652,94426019,94851336,94899585,95069915,96126819,96407626,96650236,97555016,97565925,98246620,99312778,...,227005527771249217365278873455220322263544779731466025517730023095067320780104677028117687663770092971313519214938935242787757970973781045021856740959720901667724161450253079849192528338874002175269722371215189995118589988217598627396819131887384058283614293217227723985732188975179762393597129827530184684292621905129297257217583519474620001812536184079950789243860926356479897794734726791106944479257123588773724812015421601859408425174403937656532036235200869230193615381402564409373753772526126787781683959955516993755387000650351740924506732263639518191459170496095033788873320958821482892417159413751766838619392292420338428092363717023031361396067972184251292085004734007843166534340561312044999732761641572314596036376769451817332219517781829288259812090905505449663382215015663601566828950451472965934507692163761084626669742009570514217882184648295934917184597736727319248128837800622395140381621704834998242485849587873280564360879341178301632645406774321854483733713514060665366443714168712925462708306191210759292730837190725542473815504171867344934024689771449109635686667657898453667233660935184056088295815779568161275780804720032526111844898955187636513412808348303941154221681534385727087393325376396110320802870822284958654644952524679629813999840152271999106652178812702370485931859400063511458819086628035404803032993701342774151789059628352551581046275035669611793534458068008002403360111331136752399284807285686753453261414400878349840790862638574094961790226794163100793149499470227433800348287151577131695237267811758591667486028221699525170891011977920924722715446867211535992797069417432298030583199753309965536895990801867564810864810572921480009384904448590905662269029999129690144390475048213673554356884604075897080303771687903419984950150341322966061295676591186563886785574760914341842570622282534165888554723673894414224800203243229228861562734090136878646766998571887252311823313063295534238107593556911928357592893870639448957653115284887062559145904633535164328833026871444508176310930892552452141739494074475903220398723415240544481931479438644494987048886790853911708805312946618134121510145145357227987704999736170056390857222144249164113185862138467195883073228995492174233485633565797789330862624708532195801883643439793832343748642645209822530607233337233868355326638219496377609729415076972036774935692823836585037980868688374274449014115771787583648929058084080761391339751593147256773483060316226967769305149529512368744509606676292356594117280815332338269833651022514477018005290865760101841379619326233481431826576883332325035510518138221833286296020640931945026562983560952522621228132456472985617161121059947928467155665505695869513060321216838386133454421948881728322857562956256122174151695433923799819839641076695027866293141397780509203267963602584912254834363179538829394343019070249190313760645512619842541206948162544677866311496433160976558386275254953888079564669486410317636726891278332873793798141222031611452681969174711545585359223760757339633029989890342306794638842804421550502547335253637120034228278243703288019666977846256323539125201175396706190465369394887918041915167999174665067222435670026528292140732498592146147426244699621866714682311444766826557040778043149290766466619249104759712175701922970489987592113300360543706179133929177967255290484604028658256310751714093632188543930137690681532833276065843556607969082087245576421246434453675376249418350666632096352031721275890158483945856463113904012832058645885580638761682278557573827342024056539604683835915130053236860180271509143913242867418180755005150681825679438629088148516657320426160415121077714153411094923199864368404233578242070254180675572976481611013279910216348247846715279050419738673906286577268527928756793946392309121788066242486464281506267039132640992020309829109740881895122572124312252063931012157666759433575459973754385589327231620019197788650846682826415558905524445039348546790636923013815985981401543557377020581823011828876987252194895585460508159127234087406419623795418504174310366090868287265146503513428211466469536976176199634008552703027905435932890928696875965596246745984398576622815840524257334841318718243690312212787457485117149240742446342235796178389216262894390200531725346224088331283831313599959386478266647130388288096452818734476462815799437348354209240694951802015997705358152481713913743921329205300543194293499391692755251429361584564739894817711083811336863681888964669975973126734696484267628148714186802423342193569396223476663580950774098391446273587947553079830517488494691414476118914238688884311705465828397827369670454459603449581903711833548934025545594141031746097115567991528892513892940473387470667352319365888219102446571610983233639309746173054565053571783148513685774415190760620628936488465684070804106103811175932456040612494027}
30310  721357402413829495643675496114540812883980302327232876342194599100275597181074746882055: {90921,514981,1241029,1575236,2240054,2665784,2999007,3231721,3412261,4052294,4453071,4479812,4493989,5213701,5301275,5688692,5752729,5860934,5932261,6361530,6413636,6785632,7186969,7544809,7573250,7633836,7665974,7902361,8386982,8438149,9087900,9693760,10034036,10905480,11462041,11632512,11639269,11983382,12268665,12443636,12700934,12877849,13086576,13165892,13231081,14076015,14641129,14722398,15014416,15520069,16532612,16572421,16891218,16922629,17447401,17622181,18435039,19017829,19191961,19517055,19705119,20061541,20132852,20818192,20852036,20911382,21946475,21968281,22832101,23247236,23420466,23458475,23725892,23866309,24382441,24404024,25241221,25848632,25926949,26052999,26098201,26335770,26782489,27153087,27283814,27454527,27670515,27806761,28091488,28150170,28488169,28658341,28828441,29079711,29332599,29515216,29677861,29859711,30026848,30723035,31015475,31602924,32215321,32383909,32558534,32781327,33204618,33272132,33780204,33897961,34401349,34569001,35175236,35547275,35814255,36867642,36946239,37075141,37218570,37241641,37408069,37468599,37740709,38026052,38201872,38292815,39399589,39699808,40263032,40721509,41545369,41583092,41874409,41971382,42656730,42929007,42977106,43003892,43010774,43023781,43702982,43741595,43890050,44605475,44662284,44822809,45252155,45295911,45369332,45500512,45951378,46012664,46125721,46288261,46550852,47747881,47839479,48374547,48884435,50018127,51188076,51611689,51740036,51764247,52338559,52446452,52489914,52571161,52668060,52917236,53209369,53333414,53368741,53526570,53606399,54005509,54016982,54164521,54302586,54859567,56052344,56179264,56464359,56698921,57087411,57095008,57329641,58087412,58446134,58661322,58744549,59214889,59804054,59963636,59997349,60820982,61234187,61523511,61776632,62178661,62267447,62508147,63058887,63201672,63526454,63743071,64231884,64654309,64711167,65112692,65212694,65316111,65885221,65886182,66505387,66805381,67219475,67417381,68220515,68230834,68238854,68485609,69498711,69588431,70308649,70345784,70611481,71101881,71587574,71633751,72271909,72572869,72589382,72807207,73242275,73474021,73583939,73623961,73689855,74372581,74522089,74588435,74769370,74921894,75268549,76293236,76580570,77052709,77757275,78370810,78531589,78602512,78973849,79139007,79562521,79772036,79896374,80035055,80235332,80663370,80887382,81015639,81864618,82197289,82536182,82994919,83687487,84808729,84838454,85092212,85278275,85360639,85961881,86040928,86708036,86823721,87165555,87400052,87477410,87890730,87968809,88039959,88152515,88427826,88572946,89095382,89109289,89506122,89677801,89723244,89725047,89819749,89857455,90528409,90726182,90855812,91061530,91235269,91658521,91677944,91702934,91896684,92643589,92924389,92976592,93003254,93308730,93658474,93750112,94044972,94463641,94603141,95238015,95716549,95847952,95994181,96042066,96548581,96687001,96796044,97058036,97345779,97472620,97793007,97929541,98803475,98891929,99529312,...,302674037028332289820371831273627096351393039641954700690306697460089761040139569370823583551693457295084692286585246990383677294631708060029142321279627868890298881933670773132256704451832002900359629828286919993491453317623464836529092175849845411044819057622970298647642918633573016524796173103373579579056829206839063009623444692632826669083381578773267718991814568475306530392979635721475925972342831451698299749353895469145877900232538583542042714980267825640258153841870085879165005030034835717042245279940689325007182667533802321232675643018186024255278893994793378385164427945095310523222879218335689118159189723227117904123151622697375148528090629579001722780006312010457555379120748416059999643682188763086128048502359269089776292690375772384346416121207340599551176286687551468755771933935297287912676922885014779502226322679427352290509579531061246556246130315636425664171783734163193520508828939779997656647799450497707419147839121571068843527209032429139311644951352080887155258285558283900616944408254947679056974449587634056631754005562489793245366253028598812847582223543864604889644881246912074784394421039424215034374406293376701482459865273583515351217077797738588205628908712514302783191100501861480427737161096379944872859936699572839751999786869695998808869571750269827314575812533418015278425448837380539737377324935123698869052079504470068774728366714226149058045944090677336537813481774849003199046409714249004604348552534504466454387816851432126615720302392217467724199332626969911733797716202102842260316357082344788889981370962266033561188015970561232963620595822948714657062759223243064040777599671079954049194654402490086414486414097228640012513205931454540883025373332172920192520633397618231405809179472101196107071695583871226646600200455097288081727568788248751849047433014552455790094163043378887851406298231859218966400270990972305148750312120182504862355998095849669749097750751060712317476791409215904476790525160852598610204153713182750078861206178046885771777369161926010901747907856736602855652658765967870960531631220320725975908639251525993316065182387805215611740417262157512162013526860476303983606666314893408521142962858998885484247816184622927844097638660656232311314178087730385774483499611376261069178191253058443124998190193613096707476311116311824473768850959328503479639220102629382366580923765115446717307824917832365932018821029050111531905410778774348521786335457529675697977413754969290359073532706016491659346142235056475458823041087109784359778201363352636024007054487680135788506159101644641909102102511109766714014024184295777715061360854575926702083978081270030161637509941963980822881494746597237956207554007594492684080428289117848177939229265175637763810083941674829565535593911898399759786188102260037155057521863707345604357284803446549673112484239385105859124025426998920418347527350159790054942597550059570488415328577547968744515033673271850772752892648547090182302521704443831725064188296042148603575958899615394113812298347676452844039986520456409059518457072562067336729780338182826712304370991604384026222637128341764718833601567195608253953825859850557389220223998899553422963247560035371056187643331456194863234992932829155619576415259689102076054370724199054355288825665473012949567602563960653316789484400480724941572178572237289673720646138704877675081002285458176251391906850254242043777701421124742143958776116327435228328579271567168332557800888842795136042295034520211311927808617485205350442744861180774185015576371410098436456032075386139578447886840070982480240362012191884323823224241006673534242434239251505450864688876427234880553494770285537881459897599819157872311437656093672240900763968642148017706546955130997128953705400559651565208382103024703905009058595189745495717421656648619042008356052176854656027079772146321175860163429499083002751908016210222345911433946631672514119102975493358930384867795577101887411874032593385798062387515897351754647975202058076502694109097349105169316336259860780614010878836312116541892831727224672232413821454491049686862004684570948621959382634901599512011403604037207247910521238262501287461662327979198102163754454032343113121758290991587082950383276646822865654323261789647728237852288350525853600708967128298784441711775084799945848637688862840517717461937091645968617087732583131138945654259935736021330273810869975618551658561772273734057592391332522257007001905815446086319859756948111748449151575851952893301297502312928645690170864952249069897789591425861631302218107934365464521928364783930070773107356651326255219301491885651585179082273954437863769826227272612804599442538282444731912034060792188042328129487423988705190018523920631183294223136425821184292136595428814644311519079661564072753404762377531351581032553587680827505248651287578761072141471748234576608054149992036}
30311  723588159940365787519033229422231202994345943714525119469136030623646178500091071507954: {121228,1969045,2332561,2362854,3332230,3360081,3998676,5599765,5937428,6078441,6719718,7110865,8017045,8482040,8533038,8791401,9542295,9620454,9656449,10178448,10321729,11359875,11411413,11450754,11498961,11835961,12117200,12542545,12580473,13137614,13227553,13631850,13646809,14540640,15051054,15510016,15554545,15640801,16358220,16457365,17448768,17975073,18215918,18665454,18768020,19051401,19311622,19626409,19629864,19748838,20182753,20665765,21086341,21353521,21855662,22083597,22521624,22617553,23670358,24580052,24798918,25166065,25336827,25442773,25825814,26022740,26065045,26273492,27247141,29059045,29109158,29576569,29657365,30199278,30505030,31227288,31278054,31367073,32226601,32310790,32690521,33426638,33822854,34213201,34737332,34870854,35114360,35130699,35230153,35588838,35645102,35956549,36204116,36479161,36606036,36894020,37522441,37533560,38772948,39110132,39503655,39648661,39812948,40261081,40925721,41590165,42137232,42225255,42535718,42627721,43473529,43708436,43969045,44272824,45040272,46116169,47404386,47532565,47752340,48837801,49045801,49156856,49261652,49624760,49794853,49806927,49908198,49958132,50328790,50670306,51073273,51711553,51978865,52762854,53716741,53754865,54035641,54054553,54910153,55301463,55354321,55827855,56711665,56875640,57039078,57238676,57302808,57363254,57515830,57977701,58188565,58239721,59549712,59966929,60394548,61268504,61552561,62204449,62374638,62957073,63259009,63785972,63985095,64465659,64499396,64505838,64516161,64675045,65233201,65554473,65558065,65835075,66146545,66690836,66993426,67097734,68053998,68250768,68777198,68927067,69018996,69195073,69372854,69826278,69836569,69986552,70065430,70086913,70124401,70224080,71368760,72403448,72609265,73080409,74275441,74954545,75070729,75255601,75285812,75748849,76116548,76782114,76947758,77220790,77610054,77696881,78215096,78669678,78734871,79002090,79343281,79375854,79686409,80000121,80218201,80289855,80435653,81025473,81354518,81390865,81453879,82031348,82967641,83344196,83866958,84078516,84268896,85549958,85642512,86281556,86592001,87088148,87131118,87669201,87932230,87991983,88100281,88400149,88739521,88888814,89516449,89706081,89945454,90126841,90379621,90693422,90905254,91231473,91394278,92191441,92657701,92664948,93393313,94802508,95090353,95289681,95366545,95511668,96347826,97076276,97537153,97626901,97669038,97744441,97819041,98043361,98253140,98829273,98863813,99001153,99618038,99715045,...,454011055542498434730557746910440644527089559462932051035460046190134641560209354056235375327540185942627038429877870485575515941947562090043713481919441803335448322900506159698385056677748004350539444742430379990237179976435197254793638263774768116567228586434455447971464377950359524787194259655060369368585243810258594514435167038949240003625072368159901578487721852712959795589469453582213888958514247177547449624030843203718816850348807875313064072470401738460387230762805128818747507545052253575563367919911033987510774001300703481849013464527279036382918340992190067577746641917642965784834318827503533677238784584840676856184727434046062722792135944368502584170009468015686333068681122624089999465523283144629192072753538903634664439035563658576519624181811010899326764430031327203133657900902945931869015384327522169253339484019141028435764369296591869834369195473454638496257675601244790280763243409669996484971699175746561128721758682356603265290813548643708967467427028121330732887428337425850925416612382421518585461674381451084947631008343734689868049379542898219271373335315796907334467321870368112176591631559136322551561609440065052223689797910375273026825616696607882308443363068771454174786650752792220641605741644569917309289905049359259627999680304543998213304357625404740971863718800127022917638173256070809606065987402685548303578119256705103162092550071339223587068916136016004806720222662273504798569614571373506906522828801756699681581725277148189923580453588326201586298998940454867600696574303154263390474535623517183334972056443399050341782023955841849445430893734423071985594138834864596061166399506619931073791981603735129621729621145842960018769808897181811324538059998259380288780950096427347108713769208151794160607543375806839969900300682645932122591353182373127773571149521828683685141244565068331777109447347788828449600406486458457723125468180273757293533997143774504623646626126591068476215187113823856715185787741278897915306230569774125118291809267070328657666053742889016352621861785104904283478988148951806440797446830481088963862958877288989974097773581707823417610625893236268243020290290714455975409999472340112781714444288498328226371724276934391766146457990984348466971267131595578661725249417064391603767286879587664687497285290419645061214466674467736710653276438992755219458830153944073549871385647673170075961737376748548898028231543575167297858116168161522782679503186294513546966120632453935538610299059024737489019213352584713188234561630664676539667302045028954036010581731520203682759238652466962863653153766664650071021036276443666572592041281863890053125967121905045242456264912945971234322242119895856934311331011391739026120642433676772266908843897763456645715125912512244348303390867847599639679282153390055732586282795561018406535927205169824509668726359077658788686038140498380627521291025239685082413896325089355732622992866321953116772550509907776159129338972820635273453782556665747587596282444063222905363938349423091170718447521514679266059979780684613589277685608843101005094670507274240068456556487406576039333955692512647078250402350793412380930738789775836083830335998349330134444871340053056584281464997184292294852489399243733429364622889533653114081556086298581532933238498209519424351403845940979975184226600721087412358267858355934510580969208057316512621503428187264377087860275381363065666552131687113215938164174491152842492868907350752498836701333264192704063442551780316967891712926227808025664117291771161277523364557115147654684048113079209367671830260106473720360543018287826485734836361510010301363651358877258176297033314640852320830242155428306822189846399728736808467156484140508361351145952963222026559820432696495693430558100839477347812573154537055857513587892784618243576132484972928563012534078265281984040619658219481763790245144248624504127862024315333518867150919947508771178654463240038395577301693365652831117811048890078697093581273846027631971962803087114754041163646023657753974504389791170921016318254468174812839247590837008348620732181736574530293007026856422932939073952352399268017105406055810871865781857393751931192493491968797153245631681048514669682637436487380624425574914970234298481484892684471592356778432525788780401063450692448176662567662627199918772956533294260776576192905637468952925631598874696708418481389903604031995410716304963427827487842658410601086388586998783385510502858723169129479789635422167622673727363777929339951946253469392968535256297428373604846684387138792446953327161901548196782892547175895106159661034976989382828952237828477377768623410931656795654739340908919206899163807423667097868051091188282063492194231135983057785027785880946774941334704638731776438204893143221966467278619492346109130107143566297027371548830381521241257872976931368141608212207622351864912081224988054}
30312  725825775946887050890660341739167378975364933236180980827382459005917781586920433423286: {151535,181842,575567,1029962,1241111,1301567,1603727,1784927,2147111,2482058,2689847,3051311,3150472,3292127,3544281,3953711,4480108,4554311,4998345,5214047,5331568,5393807,5812967,5992487,5998014,6463442,6709847,6824522,7247111,7421785,8104588,8498207,8906142,8959624,8987978,10079577,10427402,10575527,10602550,11377384,11505458,11721868,11864522,12723060,12799557,12827272,12878711,12937607,13114247,13408487,13571264,13761311,14290007,14373938,14430681,15089618,15146500,15169727,15267672,15331948,15579647,15804722,16773964,16876298,16982111,17176131,18175800,19019111,19077167,19387520,19706421,20068072,20236607,20447775,20757311,21810960,21854447,21969767,22576581,22924082,23265024,23278538,23460025,23925311,23966764,24441407,24537330,24727847,24887272,25300127,25401868,25755698,25985807,26173152,26331784,26462162,26784311,27296807,27323877,27998181,28152030,28967433,29282258,29444796,29566727,29623257,30028832,30725065,31035311,31040138,31260767,31880111,32217527,32528425,32783493,32841865,33065224,33144842,33782436,33845258,34403711,34894802,35244362,35505537,36299687,36870078,37133207,37198377,37410647,37466111,37798727,38035658,38383922,38738721,39034110,39410238,40123082,40265704,41383607,41636384,41704072,41822764,41932127,43012249,43190687,43421665,43663737,43845647,43892950,43936562,44662727,44825927,45255145,45298917,45478007,45664202,45757545,45966311,46117525,46183127,46494472,46840932,46916950,46917081,47451784,47643287,47732618,47805167,48451967,48466185,48764882,48808048,48882527,48887665,49205111,49527407,49742111,49766185,50063927,50139957,50482442,50734281,51697264,51853898,52105998,52196402,52306281,52671540,53266247,53383257,53425607,53467653,53564978,53609941,54009311,54306174,54567628,54635545,54909054,55341030,55613522,56182976,56300340,56439767,56702927,56976338,57316682,57386207,57656882,58159422,58665198,58801007,59030432,59355722,59532311,59690425,59719422,60001607,60053696,60053711,60834311,61238233,61446070,61577065,61924127,62030950,62183087,62447665,62958767,63205848,63353017,63803577,63938711,64247567,64430642,64710311,64767818,65117068,65562654,65736311,66248111,66409236,66544264,66810167,67269311,67560408,67795922,68438209,68802698,69138002,69593029,69605927,70061111,70350472,70515647,70767887,71094550,71106579,71523407,71548345,71628510,72578111,73529327,73588801,73735284,73892478,74150282,74437140,74483282,74816138,74862297,74937198,75274007,75323711,75481418,75493185,76005459,76052104,76403744,76585630,77107727,77848007,78799178,79144281,79399616,79568327,79732465,80526064,80624245,81443018,82240873,82931111,83090738,83166184,83363545,83748818,83942764,84863111,85313460,85558617,85858014,85954212,86007784,86016167,86021548,86044881,86047562,86273745,86830127,86962837,86973527,87260111,87405964,87483190,87780100,87975311,88022927,89163311,89210950,89324568,89589767,89645618,89873711,90504310,90535127,90582311,90591822,90738664,91001024,91289111,91902756,92025328,92251442,92275607,92576522,92650487,92978087,93101704,93561957,93632111,93818687,94098311,94107265,94517207,95145685,95495762,95508721,95678958,95723711,95770007,96463487,96749094,96758757,96878711,97155167,97768870,97799111,99356447,...,681016583313747652095836620365660966790634339194398076553190069285201962340314031084353062991310278913940557644816805728363273912921343135065570222879162705003172484350759239547577585016622006525809167113645569985355769964652795882190457395662152174850842879651683171957196566925539287180791389482590554052877865715387891771652750558423860005437608552239852367731582779069439693384204180373320833437771370766321174436046264805578225275523211812969596108705602607690580846144207693228121261317578380363345051879866550981266161001951055222773520196790918554574377511488285101366619962876464448677251478241255300515858176877261015284277091151069094084188203916552753876255014202023529499603021683936134999198284924716943788109130308355451996658553345487864779436272716516348990146645046990804700486851354418897803523076491283253880009226028711542653646553944887804751553793210181957744386513401867185421144865114504994727457548763619841693082638023534904897936220322965563451201140542181996099331142506138776388124918573632277878192511572176627421446512515602034802074069314347328907060002973695361001700982805552168264887447338704483827342414160097578335534696865562909540238425044911823462665044603157181262179976129188330962408612466854875963934857574038889441999520456815997319956536438107111457795578200190534376457259884106214409098981104028322455367178885057654743138825107008835380603374204024007210080333993410257197854421857060260359784243202635049522372587915722284885370680382489302379448498410682301401044861454731395085711803435275775002458084665098575512673035933762774168146340601634607978391208252296894091749599259929896610687972405602694432594431718764440028154713345772716986807089997389070433171425144641020663070653812227691240911315063710259954850451023968898183887029773559691660356724282743025527711866847602497665664171021683242674400609729687686584688202270410635940300995715661756935469939189886602714322780670735785072778681611918346872959345854661187677437713900605492986499080614333524528932792677657356425218482223427709661196170245721633445794438315933484961146660372561735126415938839854402364530435436071683963114999208510169172571666432747492339557586415401587649219686986476522700456900697393367992587874125596587405650930319381497031245927935629467591821700011701605065979914658489132829188245230916110324807078471509755113942606065122823347042347315362750946787174252242284174019254779441770320449180948680903307915448588537106233528820028877069782351842445997014809500953067543431054015872597280305524138857978700444295479730649996975106531554414665499858888061922795835079688950682857567863684397369418956851483363179843785401466996517087608539180963650515158400363265846645184968572688868768366522455086301771399459518923230085083598879424193341527609803890807754736764503089538616488183029057210747570941281936537859527623620844487634033598934489299482929675158825764861664238694008459230952910180673834998621381394423666094834358045907524134636756077671282272018899089969671026920383916528413264651507642005760911360102684834731109864059000933538768970617375603526190118571396108184663754125745503997523995201667307010079584876422197495776438442278734098865600144046934334300479671122334129447872299399857747314279136527105768911469962776339901081631118537401787533901765871453812085974768932255142280896565631790413072044598499828197530669823907246261736729263739303361026128748255051999896289056095163827670475451837569389341712038496175937656741916285046835672721482026072169618814051507745390159710580540814527431739728602254542265015452045477038315887264445549971961278481245363233142460233284769599593105212700734726210762542026718929444833039839730649044743540145837151259216021718859731805583786270381839176927365364198727459392844518801117397922976060929487329222645685367716372936756191793036473000278300726379921263156767981694860057593365952540048479246676716573335118045640371910769041447957944204630672131061745469035486630961756584686756381524477381702262219258871386255512522931098272604861795439510540284634399408610928528598902025658109083716307798672786090627896788740237953195729868447521572772004523956154731070936638362372455351447722227339026707388535167648788683170601595176038672264993851493940799878159434799941391164864289358456203429388447398312045062627722084855406047993116074457445141741231763987615901629582880498175078265754288084753694219684453133251434010591045666894009927919380204089452802884446142560407270026580708188670429990742852322295174338820763842659239491552465484074243428356742716066652935116397485193482109011363378810348745711135500646802076636782423095238291346703974586677541678821420162412002056958097664657307339714832949700917929238519163695160715349445541057323245572281861886809465397052212412318311433527797368121837482081}
30313  728070271397433719331404550087281647775315725662622502807956446463171974987392702345927: {30313,242456,272763,1544943,2756663,3723087,3938090,4665122,4725708,5600135,6664460,6720162,7839671,7997352,8997021,9695163,9955211,10130735,10236783,10322411,11199530,11223863,11412167,11874856,12156882,12198407,13228427,13359213,13439436,13481967,14221730,14312507,14652335,15641103,15903825,16034090,16128047,16964080,17066076,17258187,17559563,17582802,17796783,18484583,18933125,19032911,19084590,19164935,19240908,19312898,20291711,20356896,20643458,20967455,21560907,21574667,21776363,22114943,22634427,22719750,22822826,22901508,22997922,23040311,23194847,23567087,23671922,23707083,24234400,25085090,25160946,25314447,25745303,26263787,26275228,26455106,27197447,27263700,27293618,28932071,29081280,29958455,30102108,30452687,31020032,31109090,31281602,31752335,32716440,32914730,34386123,34897536,34917807,34954127,35232491,35950146,36431836,36491063,36805995,37330908,37506743,37536040,37710527,38085983,38102802,38436311,38623244,38633547,39252818,39259728,39497676,39693243,40365506,40433783,40682663,40770827,41331530,41520311,42172682,42228045,42707042,43711324,43923387,44167194,44344703,45043248,45235106,46560207,46573643,47340716,47642747,49160104,49597836,49717263,50332130,50673654,50767887,50885546,51377807,51651628,52045480,52130090,52278455,52342203,52546984,52866543,53464487,54039227,54494282,54500927,54893387,55277867,55305117,55653071,55936511,57053487,57575883,58118090,58218316,58226231,58551165,59115357,59153138,59267303,59314730,60184623,60398556,61010060,61080683,61370171,61556663,62454576,62556108,62734146,63860303,63921407,63956687,64453202,64621580,64798607,65134871,65381042,65418743,65839425,65895467,65904843,66494411,66545591,66853276,67645708,68209535,68426402,68496303,69474664,69741708,69841211,70228720,70261398,70375425,70460306,70870007,71177676,71290204,71513003,71598927,71913098,72408232,72770411,72958322,73147323,73212072,73788040,73967147,74760647,75044882,75067120,75256811,75557711,75663767,75723663,76645307,77093783,77545896,77780847,78158997,78220264,78294603,79007310,79297322,79396331,79625896,80347467,80440991,80522162,81396335,81459261,81463991,81578303,81851442,82363581,82534127,83011545,83180330,83420283,83498543,84274464,84450510,84916031,85071436,85255442,85464507,85975023,86485323,86947058,87014843,87239133,87416872,87938090,87997797,88265831,88545648,89033583,89521367,89579133,89898671,90080544,90150647,90545063,91781291,92169105,92232338,92605163,93046425,94174847,94496711,94788383,94808772,95065130,95504680,96645963,97151727,97675602,98091602,98313712,98343981,98523304,98767943,99249520,99405791,99589706,99613854,99816396,99916264,...,908022111084996869461115493820881289054179118925864102070920092380269283120418708112470750655080371885254076859755740971151031883895124180087426963838883606670896645801012319396770113355496008701078889484860759980474359952870394509587276527549536233134457172868910895942928755900719049574388519310120738737170487620517189028870334077898480007250144736319803156975443705425919591178938907164427777917028494355094899248061686407437633700697615750626128144940803476920774461525610257637495015090104507151126735839822067975021548002601406963698026929054558072765836681984380135155493283835285931569668637655007067354477569169681353712369454868092125445584271888737005168340018936031372666137362245248179998931046566289258384145507077807269328878071127317153039248363622021798653528860062654406267315801805891863738030768655044338506678968038282056871528738593183739668738390946909276992515351202489580561526486819339992969943398351493122257443517364713206530581627097287417934934854056242661465774856674851701850833224764843037170923348762902169895262016687469379736098759085796438542746670631593814668934643740736224353183263118272645103123218880130104447379595820750546053651233393215764616886726137542908349573301505584441283211483289139834618579810098718519255999360609087996426608715250809481943727437600254045835276346512141619212131974805371096607156238513410206324185100142678447174137832272032009613440445324547009597139229142747013813045657603513399363163450554296379847160907176652403172597997880909735201393148606308526780949071247034366669944112886798100683564047911683698890861787468846143971188277669729192122332799013239862147583963207470259243459242291685920037539617794363622649076119996518760577561900192854694217427538416303588321215086751613679939800601365291864245182706364746255547142299043657367370282489130136663554218894695577656899200812972916915446250936360547514587067994287549009247293252253182136952430374227647713430371575482557795830612461139548250236583618534140657315332107485778032705243723570209808566957976297903612881594893660962177927725917754577979948195547163415646835221251786472536486040580581428911950819998944680225563428888576996656452743448553868783532292915981968696933942534263191157323450498834128783207534573759175329374994570580839290122428933348935473421306552877985510438917660307888147099742771295346340151923474753497097796056463087150334595716232336323045565359006372589027093932241264907871077220598118049474978038426705169426376469123261329353079334604090057908072021163463040407365518477304933925727306307533329300142042072552887333145184082563727780106251934243810090484912529825891942468644484239791713868622662022783478052241284867353544533817687795526913291430251825024488696606781735695199279358564306780111465172565591122036813071854410339649019337452718155317577372076280996761255042582050479370164827792650178711465245985732643906233545101019815552318258677945641270546907565113331495175192564888126445810727876698846182341436895043029358532119959561369227178555371217686202010189341014548480136913112974813152078667911385025294156500804701586824761861477579551672167660671996698660268889742680106113168562929994368584589704978798487466858729245779067306228163112172597163065866476996419038848702807691881959950368453201442174824716535716711869021161938416114633025243006856374528754175720550762726131333104263374226431876328348982305684985737814701504997673402666528385408126885103560633935783425852455616051328234583542322555046729114230295309368096226158418735343660520212947440721086036575652971469672723020020602727302717754516352594066629281704641660484310856613644379692799457473616934312968281016722702291905926444053119640865392991386861116201678954695625146309074111715027175785569236487152264969945857126025068156530563968081239316438963527580490288497249008255724048630667037734301839895017542357308926480076791154603386731305662235622097780157394187162547692055263943925606174229508082327292047315507949008779582341842032636508936349625678495181674016697241464363473149060586014053712845865878147904704798536034210812111621743731563714787503862384986983937594306491263362097029339365274872974761248851149829940468596962969785368943184713556865051577560802126901384896353325135325254399837545913066588521553152385811274937905851263197749393416836962779807208063990821432609926855654975685316821202172777173997566771021005717446338258959579270844335245347454727555858679903892506938785937070512594856747209693368774277584893906654323803096393565785094351790212319322069953978765657904475656954755537246821863313591309478681817838413798327614847334195736102182376564126984388462271966115570055571761893549882669409277463552876409786286443932934557238984692218260214287132594054743097660763042482515745953862736283216424415244703729824162449976108}
30314  730321667319753900107131764696326604083474701367463227008992683820617947420057953104620: {212149,303070,363684,1151134,1301653,1845433,2059924,2207593,2482222,2603134,3111733,3207454,3569854,3833749,4294222,4964116,5379694,5454073,5907135,6102622,6300944,6351733,6584254,6710293,6997683,7088562,7907422,8330575,8960216,9108622,9924373,9996690,10080243,10390499,10428094,10663136,10787614,10990549,11625934,11877049,11984974,11996028,12926884,12938473,13419694,13649044,13821013,14494222,14843570,16209176,16799295,16996414,17812284,17919248,17975956,18235323,18729973,19078453,19948393,20159154,20854804,21151054,21205100,21332595,21509749,21682873,22754768,23010916,23237749,23443736,23729044,24051135,25446120,25599114,25654544,25757422,25816249,25875214,26228494,26374203,26816974,27142528,27522622,28378549,28580014,28626885,28747876,28861362,28969347,30179236,30293000,30339454,30535344,30663896,30965187,31093813,31159294,31609444,31938553,32781493,32844035,33547928,33752596,33964222,34079625,34234239,34352262,34496883,35299513,35507883,35968249,36351600,37468693,37627635,37635049,37741419,38038222,38154334,38775040,39412842,39682659,39956473,40136144,40473214,40895550,40940427,41514622,41770549,42428053,43015091,43621920,43708894,43939534,44393653,45153162,45539795,45848164,45978611,46530048,46557076,46663635,46673749,46920050,46922403,47484649,47850622,47933528,48279055,48455353,48882814,49074660,49262293,49372095,49455694,49745593,49774544,50600254,50710249,50803736,51351913,51511396,51971614,52346304,52663568,52924324,53110549,53568622,53925219,54593614,54639155,54647754,55996362,56304060,57075049,57154203,57934866,58564516,58879227,58889592,59133454,59175895,59246514,59588713,60057664,60057973,60548259,60790331,61450130,61928533,61997295,62070622,62080276,62521534,63259023,63357203,63760222,64060563,64097749,64435054,64564535,65056850,65566986,65638549,65683730,66130448,66250791,66252853,66289684,67564872,67690516,67852659,68442731,68698549,68807422,69672659,69789604,70066153,70488724,70823413,71011074,72483049,72599374,72772895,73740156,74133973,74266414,74396754,74821294,74932222,75329173,75498195,75597454,76010481,76071316,76262575,76328319,76489763,76767844,77477442,77853673,78068220,78195135,78444649,78820476,79181749,79917049,80246164,80531408,80776975,80797033,81741423,82246307,82767214,82840249,83272768,83408144,83421433,83566595,83645528,83864254,84238627,84557135,86024498,86207891,86381374,86453749,86843330,86968583,87177135,87327474,87426731,87691294,87785900,87873124,88029433,88457653,88729707,88972095,89112755,89325454,89651854,90510290,90589033,90597834,90956014,91328404,91515090,91932622,92235050,92282473,92366254,92988944,93681864,93833900,93834162,94101219,94903568,95286574,95465236,95610334,95777173,96225151,96470713,96679803,96885973,96903934,96932370,97193759,97529764,97616096,97765054,97775330,97852393,98071563,98410222,99054814,99484222,99532370,...,1362033166627495304191673240731321933581268678388796153106380138570403924680628062168706125982620557827881115289633611456726547825842686270131140445758325410006344968701518479095155170033244013051618334227291139970711539929305591764380914791324304349701685759303366343914393133851078574361582778965181108105755731430775783543305501116847720010875217104479704735463165558138879386768408360746641666875542741532642348872092529611156450551046423625939192217411205215381161692288415386456242522635156760726690103759733101962532322003902110445547040393581837109148755022976570202733239925752928897354502956482510601031716353754522030568554182302138188168376407833105507752510028404047058999206043367872269998396569849433887576218260616710903993317106690975729558872545433032697980293290093981609400973702708837795607046152982566507760018452057423085307293107889775609503107586420363915488773026803734370842289730229009989454915097527239683386165276047069809795872440645931126902402281084363992198662285012277552776249837147264555756385023144353254842893025031204069604148138628694657814120005947390722003401965611104336529774894677408967654684828320195156671069393731125819080476850089823646925330089206314362524359952258376661924817224933709751927869715148077778883999040913631994639913072876214222915591156400381068752914519768212428818197962208056644910734357770115309486277650214017670761206748408048014420160667986820514395708843714120520719568486405270099044745175831444569770741360764978604758896996821364602802089722909462790171423606870551550004916169330197151025346071867525548336292681203269215956782416504593788183499198519859793221375944811205388865188863437528880056309426691545433973614179994778140866342850289282041326141307624455382481822630127420519909700902047937796367774059547119383320713448565486051055423733695204995331328342043366485348801219459375373169376404540821271880601991431323513870939878379773205428645561341471570145557363223836693745918691709322375354875427801210985972998161228667049057865585355314712850436964446855419322392340491443266891588876631866969922293320745123470252831877679708804729060870872143367926229998417020338345143332865494984679115172830803175298439373972953045400913801394786735985175748251193174811301860638762994062491855871258935183643400023403210131959829316978265658376490461832220649614156943019510227885212130245646694084694630725501893574348504484568348038509558883540640898361897361806615830897177074212467057640057754139564703684891994029619001906135086862108031745194560611048277715957400888590959461299993950213063108829330999717776123845591670159377901365715135727368794738837913702966726359687570802933993034175217078361927301030316800726531693290369937145377737536733044910172603542798919037846460170167197758848386683055219607781615509473529006179077232976366058114421495141882563873075719055247241688975268067197868978598965859350317651529723328477388016918461905820361347669997242762788847332189668716091815048269273512155342564544037798179939342053840767833056826529303015284011521822720205369669462219728118001867077537941234751207052380237142792216369327508251491007995047990403334614020159169752844394991552876884557468197731200288093868668600959342244668258895744598799715494628558273054211537822939925552679802163262237074803575067803531742907624171949537864510284561793131263580826144089196999656395061339647814492523473458527478606722052257496510103999792578112190327655340950903675138778683424076992351875313483832570093671345442964052144339237628103015490780319421161081629054863479457204509084530030904090954076631774528891099943922556962490726466284920466569539199186210425401469452421525084053437858889666079679461298089487080291674302518432043437719463611167572540763678353854730728397454918785689037602234795845952121858974658445291370735432745873512383586072946000556601452759842526313535963389720115186731905080096958493353433146670236091280743821538082895915888409261344262123490938070973261923513169373512763048954763404524438517742772511025045862196545209723590879021080569268798817221857057197804051316218167432615597345572181255793577480475906391459736895043145544009047912309462141873276724744910702895444454678053414777070335297577366341203190352077344529987702987881599756318869599882782329728578716912406858776894796624090125255444169710812095986232148914890283482463527975231803259165760996350156531508576169507388439368906266502868021182091333788019855838760408178905605768892285120814540053161416377340859981485704644590348677641527685318478983104930968148486856713485432133305870232794970386964218022726757620697491422271001293604153273564846190476582693407949173355083357642840324824004113916195329314614679429665899401835858477038327390321430698891082114646491144563723773618930794104424824636622867055594736243674964162}
30315  732579984805495850033920111268937381048263716920230083174477274086592470293264795597463: {60626,454605,484912,545526,1726701,2574905,3089886,3665453,3723333,3904701,4811181,5354781,5513326,6205145,6441333,7446174,7840189,7876180,8069541,9153933,9330244,9451416,9876381,10632843,11200270,11861133,12199213,13328920,13440324,13662933,14183029,14922617,14995035,15642141,15679342,15994704,16012301,16158605,16181421,16914781,17061305,17438901,17977461,17994042,19390326,19910422,20129541,20261470,20473566,20513269,20644822,21272077,21741333,22265355,22399060,22447726,22469945,22824334,23749712,23981113,24313764,24396814,24716701,25494621,26068505,26456854,26506375,26718426,26830909,26878872,26963934,28443460,28625014,28763645,29073133,29304670,29354437,29661305,30238731,31039021,31282206,31726581,31807650,32068180,32256094,33555533,33928160,34132152,34516374,35119126,35165604,35541869,35593566,35934845,36969166,37724045,37866250,38065822,38169180,38329870,38398671,38481816,38625796,38636133,38812821,39342741,39511805,40225461,40311253,40583422,40713792,41283933,41286916,41399929,41919301,41934910,41941837,42190745,42870021,43121814,43149334,43292043,43552726,44229886,44453269,45268854,45439500,45509181,45645652,45803016,45995844,46080622,46389694,46738941,47134174,47343844,47414166,48468800,50170180,50321892,50628894,50946333,51490606,51528393,51848249,52527574,52550456,52910212,54394894,54527400,54587236,55361669,57057333,57151693,57231501,57310205,57864142,58162560,58196345,59119263,59916910,60204216,60709821,60905374,61343325,61825541,62040064,62218180,62271933,62517277,62563204,63267413,63504670,63864541,64389245,65432880,65563341,65829460,65909301,66155405,67729743,68367493,68772246,69795072,69835614,69908254,70244969,70380075,70464982,71775933,71900292,72698621,72797797,72863672,72982126,73189837,73205645,73324221,73611990,74183541,74661816,74893069,75013486,75072080,75421054,75543481,75900381,76171966,76205604,76872622,77071973,77246488,77267094,77600345,77876461,77938457,77957421,78505636,78519456,78995352,79243453,79386486,80352933,80731012,80867566,81365326,81541654,81890421,81971631,82539613,82663060,82862105,83040622,83994543,84345364,84456090,84613145,84942869,85414084,86902299,87237005,87422648,87846774,87920933,88110905,88334388,88689406,88700181,88869771,89904637,90086496,90470212,90772309,90875093,91652117,92175195,93105933,93120414,93147286,93321901,93782301,94444781,94681432,95089145,95285494,95493349,95640333,95959805,96367933,96652581,96725453,97585275,98320208,98350479,98525595,99195672,99434526,...,2043049749941242956287509861096982900371903017583194229659570207855605887020942093253059188973930836741821672934450417185089821738764029405196710668637488115009517453052277718642732755049866019577427501340936709956067309893958387646571372186986456524552528638955049515871589700776617861542374168447771662158633597146163675314958251675271580016312825656719557103194748337208319080152612541119962500313314112298963523308138794416734675826569635438908788326116807823071742538432623079684363783952735141090035155639599652943798483005853165668320560590372755663723132534464855304099859888629393346031754434723765901547574530631783045852831273453207282252564611749658261628765042606070588498809065051808404997594854774150831364327390925066355989975660036463594338308818149549046970439935140972414101460554063256693410569229473849761640027678086134627960939661834663414254661379630545873233159540205601556263434595343514984182372646290859525079247914070604714693808660968896690353603421626545988297993427518416329164374755720896833634577534716529882264339537546806104406222207943041986721180008921086083005102948416656504794662342016113451482027242480292735006604090596688728620715275134735470387995133809471543786539928387564992887225837400564627891804572722116668325998561370447991959869609314321334373386734600571603129371779652318643227296943312084967366101536655172964229416475321026506141810122612072021630241001980230771593563265571180781079352729607905148567117763747166854656112041147467907138345495232046904203134584364194185257135410305827325007374253995295726538019107801288322504439021804903823935173624756890682275248797779789689832063917216808083297783295156293320084464140037318150960421269992167211299514275433923061989211961436683073722733945191130779864551353071906694551661089320679074981070172848229076583135600542807492996992513065049728023201829189063059754064606811231907820902987146985270806409817569659808142968342012207355218336044835755040618878037563983563032313141701816478959497241843000573586798378032972069275655446670283128983588510737164900337383314947800454883439981117685205379247816519563207093591306308215051889344997625530507517714999298242477018672759246204762947659060959429568101370702092180103977763622376789762216952790958144491093737783806888402775465100035104815197939743975467398487564735692748330974421235414529265341827818195368470041127041946088252840361522756726852522057764338325310961347542846042709923746345765611318700586460086631209347055527337991044428502859202630293162047617791840916572416573936101332886439191949990925319594663243996499576664185768387505239066852048572703591053192108256870554450089539531356204400989551262825617542890951545475201089797539935554905718066606305099567365258905314198378556769690255250796638272580024582829411672423264210293509268615849464549087171632242712823845809613578582870862533462902100796803467898448789025476477294584992716082025377692858730542021504995864144183270998284503074137722572403910268233013846816056697269909013080761151749585239793954522926017282734080308054504193329592177002800616306911852126810578570355714188324553991262377236511992571985605001921030238754629266592487329315326836202296596800432140803002901439013367002388343616898199573241942837409581317306734409888329019703244893355612205362601705297614361436257924306796765426842689696895371239216133795499484592592009471721738785210187791217910083078386244765155999688867168285491483011426355512708168025136115488527812970225748855140507018164446078216508856442154523236170479131741622443582295219185806763626795046356136431114947661793336649915883835443736089699427380699854308798779315638102204178632287626080156788334499119519191947134230620437511453777648065156579195416751358811145517530782096092596182378178533556403352193768928182788461987667937056103149118810268575379109419000834902179139763789470303945084580172780097857620145437740030149720005354136921115732307124343873832613892016393185236407106459892885269754060269144573432145106786657776614158766537568793294817814585386318531620853903198225832785585796706076974327251148923396018358271883690366220713859587189605342564718316013571868464193212809915087117366054343166682017080122165605502946366049511804785528116016794981554481822399634478304399824173494592868075368610288165342194936135187883166254566218143979348223372335425223695291962847704888748641494525234797262864254261082659053359399754302031773137000682029783758140612268358408653338427681221810079742124566011289972228556966885523016462291527977718474657396452222730285070228148199958805349192455580446327034090136431046237133406501940406229910347269285714874040111923760032625036464260487236006170874292993971922019144498849102753787715557491085482146048336623171969736716845585660428396191156637236954934300583392104365512446243}
30316  734845245010401029466868124226224277523472564181364968818287052724632354589562464260795: {90939,424298,606140,696739,727368,818289,1422643,2302268,2603306,3412939,3690866,4119848,4415186,4634829,4964444,5206268,5394523,5933443,6223466,6414908,6830203,7139708,7667498,7725163,8082643,8269989,8588444,9845225,9928232,10759388,10908146,11169261,11641603,11662805,11814270,12205244,12601888,12703466,13168508,13233739,13410283,13420586,13995366,14177124,14291923,15814844,16575763,16661150,16750939,16800405,17625739,17800483,17920432,18217244,19195843,19369939,19848746,19993380,20160486,20239339,20780998,20856188,21326272,21575228,21972739,21981098,23251868,23519013,23754098,23969948,23992056,25417939,25853768,25876946,26103523,26839388,26991063,27298088,27300523,27642026,27982939,27998825,28664203,28834339,28988444,29085489,29683939,29687140,29853643,29865633,30392205,30710349,30967233,32390563,32418352,33598590,33671589,33904939,33992828,34236501,34576123,34743739,35554325,35624568,35838496,35951912,36470646,36595221,37249339,37415803,37459946,37914763,38156906,39573283,39685281,39896786,40077639,40085225,40318308,40445901,41709608,42302108,42410200,42665190,42937521,43019498,43196683,43365746,43851739,43957005,45509536,45981649,46021832,46297939,46460443,46475498,46887472,46923309,47458088,47711475,47757883,48102270,48282245,48384141,48566443,48889363,50892240,51198228,51309088,51514844,51608645,51632498,51750428,51774561,51942739,52456988,52678689,52748406,53380003,53390349,53633948,54175963,54285056,54334939,55045244,55453749,56553043,56757098,56799375,57057065,57098733,57160028,57253770,57341803,57494805,57495752,57656803,57722724,57938694,58913923,59179805,60358472,60586000,60634939,60678908,60875133,61070688,61327792,61930374,62036563,62187626,62318588,62712725,62902365,63218888,63755713,63877106,64359643,64682721,64724001,65284339,65329089,65562986,65688070,66137765,66344829,66972883,67095856,67505192,67584739,67590677,67903281,67928444,68159250,68234045,68468478,68704524,68993766,69120933,69584541,70599026,70626739,70701261,70778083,71015766,71121249,71533723,71936498,72703200,73639939,74538283,74937386,75255270,75270098,75482838,75943341,76076444,76308668,76475803,76494817,76772803,77235909,77550080,77772725,77957923,78204005,78791361,78825684,78991123,79365318,79726963,79912946,80272288,80946428,81592341,81791100,81880854,82286825,82846253,83029244,83541098,84244193,84827443,84856106,85260523,86030182,86796213,86986363,87243840,87417788,87879068,88131163,88787306,89129083,89697739,89839723,89875365,90306324,90390349,91079590,91255603,91358061,91696328,91819939,91957222,93060096,93085483,93114152,93327270,93347498,93840100,93844806,94624339,94763803,94969298,95181763,95257005,95701244,95867056,96015739,96231509,96558110,96570283,96708739,96910706,97200181,97765628,98132045,98149320,98524586,98744190,98911388,98914243,99491186,99549088,99554741,...,2724066333254990608383346481462643867162537356777592306212760277140807849361256124337412251965241115655762230579267222913453095651685372540262280891516650820012689937403036958190310340066488026103236668454582279941423079858611183528761829582648608699403371518606732687828786267702157148723165557930362216211511462861551567086611002233695440021750434208959409470926331116277758773536816721493283333751085483065284697744185059222312901102092847251878384434822410430762323384576830772912485045270313521453380207519466203925064644007804220891094080787163674218297510045953140405466479851505857794709005912965021202063432707509044061137108364604276376336752815666211015505020056808094117998412086735744539996793139698867775152436521233421807986634213381951459117745090866065395960586580187963218801947405417675591214092305965133015520036904114846170614586215779551219006215172840727830977546053607468741684579460458019978909830195054479366772330552094139619591744881291862253804804562168727984397324570024555105552499674294529111512770046288706509685786050062408139208296277257389315628240011894781444006803931222208673059549789354817935309369656640390313342138787462251638160953700179647293850660178412628725048719904516753323849634449867419503855739430296155557767998081827263989279826145752428445831182312800762137505829039536424857636395924416113289821468715540230618972555300428035341522413496816096028840321335973641028791417687428241041439136972810540198089490351662889139541482721529957209517793993642729205604179445818925580342847213741103100009832338660394302050692143735051096672585362406538431913564833009187576366998397039719586442751889622410777730377726875057760112618853383090867947228359989556281732685700578564082652282615248910764963645260254841039819401804095875592735548119094238766641426897130972102110847467390409990662656684086732970697602438918750746338752809081642543761203982862647027741879756759546410857291122682943140291114726447673387491837383418644750709750855602421971945996322457334098115731170710629425700873928893710838644784680982886533783177753263733939844586641490246940505663755359417609458121741744286735852459996834040676690286665730989969358230345661606350596878747945906090801827602789573471970351496502386349622603721277525988124983711742517870367286800046806420263919658633956531316752980923664441299228313886039020455770424260491293388169389261451003787148697008969136696077019117767081281796723794723613231661794354148424934115280115508279129407369783988059238003812270173724216063490389121222096555431914801777181918922599987900426126217658661999435552247691183340318755802731430271454737589477675827405933452719375141605867986068350434156723854602060633601453063386580739874290755475073466089820345207085597838075692920340334395517696773366110439215563231018947058012358154465952732116228842990283765127746151438110494483377950536134395737957197931718700635303059446656954776033836923811640722695339994485525577694664379337432183630096538547024310685129088075596359878684107681535666113653058606030568023043645440410739338924439456236003734155075882469502414104760474285584432738655016502982015990095980806669228040318339505688789983105753769114936395462400576187737337201918684489336517791489197599430989257116546108423075645879851105359604326524474149607150135607063485815248343899075729020569123586262527161652288178393999312790122679295628985046946917054957213444104514993020207999585156224380655310681901807350277557366848153984703750626967665140187342690885928104288678475256206030981560638842322163258109726958914409018169060061808181908153263549057782199887845113924981452932569840933139078398372420850802938904843050168106875717779332159358922596178974160583348605036864086875438927222335145081527356707709461456794909837571378075204469591691904243717949316890582741470865491747024767172145892001113202905519685052627071926779440230373463810160193916986706866293340472182561487643076165791831776818522688524246981876141946523847026338747025526097909526809048877035485545022050091724393090419447181758042161138537597634443714114395608102632436334865231194691144362511587154960951812782919473790086291088018095824618924283746553449489821405790888909356106829554140670595154732682406380704154689059975405975763199512637739199765564659457157433824813717553789593248180250510888339421624191972464297829780566964927055950463606518331521992700313063017152339014776878737812533005736042364182667576039711677520816357811211537784570241629080106322832754681719962971409289180697355283055370636957966209861936296973713426970864266611740465589940773928436045453515241394982844542002587208306547129692380953165386815898346710166715285680649648008227832390658629229358859331798803671716954076654780642861397782164229292982289127447547237861588208849649273245734111189472487349928324}
30317  737117469154497736146916888674926973565309611015826764972391283397919128180925020408729: {121252,636447,757675,909210,969824,1091052,2877835,3453402,3604867,3904959,4331899,5149810,5536299,6179772,6205555,6507835,6622779,7330906,7446666,7809402,8018635,8687203,8924635,9335199,9622362,10709562,10735555,11026652,11501247,12319483,12410290,12882666,13449235,14892348,14923603,15256555,15643903,15680378,15752360,15951763,16013359,16139082,16362219,16460635,16678219,17637499,17721405,18307866,18660488,18902832,19055199,19752762,19768555,20130879,20993049,21090523,21265686,22400540,22622047,22771555,23722266,23885827,24172147,24398426,24991725,25447819,26070235,26657840,26880648,26969035,27325866,27593599,28366058,28528579,29064835,29773119,29845234,29962435,29990070,30240729,30331723,31171497,31284282,31358684,31457923,31989408,32024602,32317210,32362842,32971647,33549235,33829562,34122610,34219999,34877802,35631147,35954922,35988084,36206203,36235555,36495907,36863779,37108925,38780652,38815419,39656539,39820844,40259082,40269103,40522940,40947132,41026538,41218483,41289644,41463039,41525827,42004027,42491035,42544154,43482666,44530710,44798120,44895452,44939890,45464683,45648668,45709243,47499424,47962226,48627528,48793628,49354159,49433402,49804747,50308783,50397885,50989242,52137010,52813663,52874947,52877635,52913708,53012750,53436852,53661818,53757744,53927868,54705969,55316527,55365343,56189919,56886920,57235359,57250028,57343099,57527290,57672799,57948043,57989227,58146266,58609340,58708874,59067043,59322610,59845179,60477462,62078042,62564412,63453162,63615300,63929899,63997785,64136360,64393555,64512188,64529247,64688035,65048619,65246203,65427427,65571235,65674579,66762607,67042435,67111066,67186363,67369507,67856320,68264304,68806555,69032748,69713247,70238252,70331208,71083738,71187132,71270443,71450035,71869690,72153405,73938332,74290207,74770579,75448090,75732500,75848635,76131644,76338360,76659740,76797342,76963632,77251592,77272266,77448747,77625642,77712319,77898235,78440419,78509083,78685482,79023610,79122609,80234287,80450922,80622506,81166844,81427584,81474883,82567866,82573832,82799858,83313523,83509627,83775103,83838602,83869820,83883674,84381490,84862699,84910555,85135647,85547587,85740042,85880655,86243628,86298668,86584086,86908041,87105452,88417723,88459772,88906538,90144943,90397579,90537708,90879000,91018362,91085059,91291304,91498363,91606032,91991688,92161244,92209759,92617567,92676163,92734987,92779388,92895561,93281439,93477882,93651643,94268348,94687688,94828332,95095555,95109247,95385835,95815659,96731899,96937600,97646299,97763923,97808083,98344479,98532105,...,4086099499882485912575019722193965800743806035166388459319140415711211774041884186506118377947861673483643345868900834370179643477528058810393421337274976230019034906104555437285465510099732039154855002681873419912134619787916775293142744373972913049105057277910099031743179401553235723084748336895543324317267194292327350629916503350543160032625651313439114206389496674416638160305225082239925000626628224597927046616277588833469351653139270877817576652233615646143485076865246159368727567905470282180070311279199305887596966011706331336641121180745511327446265068929710608199719777258786692063508869447531803095149061263566091705662546906414564505129223499316523257530085212141176997618130103616809995189709548301662728654781850132711979951320072927188676617636299098093940879870281944828202921108126513386821138458947699523280055356172269255921879323669326828509322759261091746466319080411203112526869190687029968364745292581719050158495828141209429387617321937793380707206843253091976595986855036832658328749511441793667269155069433059764528679075093612208812444415886083973442360017842172166010205896833313009589324684032226902964054484960585470013208181193377457241430550269470940775990267618943087573079856775129985774451674801129255783609145444233336651997122740895983919739218628642668746773469201143206258743559304637286454593886624169934732203073310345928458832950642053012283620245224144043260482003960461543187126531142361562158705459215810297134235527494333709312224082294935814276690990464093808406269168728388370514270820611654650014748507990591453076038215602576645008878043609807647870347249513781364550497595559579379664127834433616166595566590312586640168928280074636301920842539984334422599028550867846123978423922873366147445467890382261559729102706143813389103322178641358149962140345696458153166271201085614985993985026130099456046403658378126119508129213622463815641805974293970541612819635139319616285936684024414710436672089671510081237756075127967126064626283403632957918994483686001147173596756065944138551310893340566257967177021474329800674766629895600909766879962235370410758495633039126414187182612616430103778689995251061015035429998596484954037345518492409525895318121918859136202741404184360207955527244753579524433905581916288982187475567613776805550930200070209630395879487950934796975129471385496661948842470829058530683655636390736940082254083892176505680723045513453705044115528676650621922695085692085419847492691531222637401172920173262418694111054675982088857005718405260586324095235583681833144833147872202665772878383899981850639189326487992999153328371536775010478133704097145407182106384216513741108900179079062712408801979102525651235085781903090950402179595079871109811436133212610199134730517810628396757113539380510501593276545160049165658823344846528420587018537231698929098174343264485425647691619227157165741725066925804201593606935796897578050952954589169985432164050755385717461084043009991728288366541996569006148275445144807820536466027693632113394539818026161522303499170479587909045852034565468160616109008386659184354005601232613823704253621157140711428376649107982524754473023985143971210003842060477509258533184974658630653672404593193600864281606005802878026734004776687233796399146483885674819162634613468819776658039406489786711224410725203410595228722872515848613593530853685379393790742478432267590998969185184018943443477570420375582435820166156772489530311999377734336570982966022852711025416336050272230977055625940451497710281014036328892156433017712884309046472340958263483244887164590438371613527253590092712272862229895323586673299831767670887472179398854761399708617597558631276204408357264575252160313576668998239038383894268461240875022907555296130313158390833502717622291035061564192185192364756357067112806704387537856365576923975335874112206298237620537150758218838001669804358279527578940607890169160345560195715240290875480060299440010708273842231464614248687747665227784032786370472814212919785770539508120538289146864290213573315553228317533075137586589635629170772637063241707806396451665571171593412153948654502297846792036716543767380732441427719174379210685129436632027143736928386425619830174234732108686333364034160244331211005892732099023609571056232033589963108963644799268956608799648346989185736150737220576330684389872270375766332509132436287958696446744670850447390583925695409777497282989050469594525728508522165318106718799508604063546274001364059567516281224536716817306676855362443620159484249132022579944457113933771046032924583055955436949314792904445460570140456296399917610698384911160892654068180272862092474266813003880812459820694538571429748080223847520065250072928520974472012341748585987943844038288997698205507575431114982170964292096673246343939473433691171320856792382313274473909868601166784208731024892486}
30318  739396678522295320637211200077180031214565648068423719150773811859006539967334825722620: {151565,181878,333377,848596,1212280,1363815,1393478,1422737,1454736,1636578,1785281,2845286,3232577,3954497,4134797,4495181,4604536,4735277,5180103,5206612,5394881,5454797,5993681,6825878,6830657,6890381,7381732,7724715,8142737,8239696,8830372,9213377,9269658,9928888,10412536,10755281,10789046,10996359,11169999,11714103,11866886,11878637,11996717,12446932,12829816,13116881,13660406,13783315,13940417,14279416,14433543,14879681,15334996,15450326,16064343,16165286,16327927,16539978,16576877,17160557,17176888,17859917,18615435,19197137,19323999,19690450,19856464,20066957,21281681,21518776,21816292,22204817,22338522,23240897,23283206,23325610,23520567,23628540,24208623,24410488,25203776,25406932,25933997,26337016,26467478,26675777,26820566,26841172,27017681,27302381,27461799,27990732,28000675,28354248,28495937,28583846,29063057,29629143,29912237,30194897,30703181,31629688,31774097,31898529,32055437,32392781,32617517,33151526,33322300,33501878,33571217,33600810,34131137,34410797,34578497,35251478,35415917,35583399,35600966,35840864,36434488,36585281,36597639,37473857,37640237,37751117,38391686,38739878,39198355,39697492,39986760,40320972,40478678,40732781,40988799,41556881,41561996,41712376,41776337,41886017,42105281,42549087,42652544,42707597,43150456,43527377,43945478,43962196,44767851,44835281,44985105,45052817,46138577,46503736,46517837,46926423,47038026,47491277,47508196,47815181,47939896,47984112,48036903,48475815,48544263,48569837,48623681,49215437,49776055,49913537,50235281,50653675,50717357,50744343,50835878,51183915,51359117,51612055,51707536,51753892,52207046,52316703,53224337,53436881,53678776,53702381,53932383,53982126,54179777,54596176,54601046,54815297,55284052,55965878,55997650,56119315,56609681,56925377,57060835,57328406,57398381,57660881,57668678,57976888,58170978,58970381,59231681,59367878,59374280,59707286,59731266,60222797,60388623,60784410,60992035,61420698,61539807,61934466,62040977,62403437,62817197,63591617,63816231,64106897,64781126,64836704,65223999,65750417,65904077,66142135,66262337,66415757,66796065,66977681,67197180,67343178,67409835,67436717,67595143,67809878,67985656,68473002,68708417,69152246,69487478,70530881,70833617,71108650,71249136,71538881,71562535,71676992,71903824,71943339,72252103,72493517,72593837,72941292,73190442,73261675,73845137,74150103,74244497,74498678,74742977,74831606,74919892,75829526,76233617,76313812,76481357,76483863,76778381,76827857,77963597,78205515,78554477,79146566,79193297,79370562,79519125,79732781,79793572,79879891,80155278,80170450,80492727,80636616,80640235,80891802,80906477,82415681,82851727,82852397,82949357,83419216,83868881,84604216,84820400,84881837,85330380,85875042,86038996,86290935,86393366,86562257,86731492,86992781,87219399,87703478,87797815,87914010,87994817,88063311,88137677,88185281,88983915,89183117,89325377,89893697,90555281,90716193,90838337,91019072,91309457,91963298,92043664,92422915,92592871,92595878,92858477,92920886,92950996,93117063,93139181,93774944,93846618,94259117,94665625,94817357,94916176,95164555,95179743,95235281,95422950,95515766,95527663,95745197,95824675,96204540,96346577,96564490,96577517,96768282,96900497,97038797,97132886,97778726,97821137,97958957,98280257,99104657,99561319,99880877,...,6129149249823728868862529583290948701115709052749582688978710623566817661062826279759177566921792510225465018803351251555269465216292088215590132005912464345028552359156833155928198265149598058732282504022810129868201929681875162939714116560959369573657585916865148547614769102329853584627122505343314986475900791438491025944874755025814740048938476970158671309584245011624957240457837623359887500939942336896890569924416383250204027479708906316726364978350423469215227615297869239053091351858205423270105466918798958831395449017559497004961681771118266991169397603394565912299579665888180038095263304171297704642723591895349137558493820359621846757693835248974784886295127818211765496427195155425214992784564322452494092982172775199067969926980109390783014926454448647140911319805422917242304381662189770080231707688421549284920083034258403883882818985503990242763984138891637619699478620616804668790303786030544952547117938872578575237743742211814144081425982906690071060810264879637964893980282555248987493124267162690500903732604149589646793018612640418313218666623829125960163540026763258249015308845249969514383987026048340354446081727440878205019812271790066185862145825404206411163985401428414631359619785162694978661677512201693883675413718166350004977995684111343975879608827942964003120160203801714809388115338956955929681890829936254902098304609965518892688249425963079518425430367836216064890723005940692314780689796713542343238058188823715445701353291241500563968336123442403721415036485696140712609403753092582555771406230917481975022122761985887179614057323403864967513317065414711471805520874270672046825746393339369069496191751650424249893349885468879960253392420111954452881263809976501633898542826301769185967635884310049221168201835573392339593654059215720083654983267962037224943210518544687229749406801628422478990977539195149184069605487567189179262193820433695723462708961440955812419229452708979424428905026036622065655008134507265121856634112691950689096939425105449436878491725529001720760395134098916207826966340010849386950765532211494701012149944843401364650319943353055616137743449558689621280773918924645155668034992876591522553144997894727431056018277738614288842977182878288704304112106276540311933290867130369286650858372874433473281213351420665208326395300105314445593819231926402195462694207078244992923263706243587796025483454586105410123381125838264758521084568270180557566173293014975932884042628538128129771239037296833956101759380259893628041166582013973133285508577607890879486142853375522749717249721808303998659317575849972775958783989731989498729992557305162515717200556145718110773159576324770611663350268618594068613202968653788476852628672854636425603269392619806664717154199818915298702095776715942595135670309070765752389914817740073748488235017269792630880527805847548393647261514896728138471537428840735748612587600388706302390410403695346367076429431883754978148246076133078576191626064514987592432549812994853509222413167717211730804699041540448170091809727039242283455248755719381863568778051848202240924163512579988776531008401848920735556380431735711067142564973661973787131709535977715956815005763090716263887799777461987945980508606889790401296422409008704317040101007165030850694598719725828512228743951920203229664987059109734680066836616087805115892843084308773772920390296280528069090686113717648401386498453777776028415165216355630563373653730249235158734295467999066601504856474449034279066538124504075408346465583438910677246565421521054493338234649526569326463569708511437395224867330746885657557420290880385139068409293344842985380009949747651506331208269098282142099562926396337946914306612535896862878240470365003497358557575841402691861312534361332944195469737586250254076433436552592346288277788547134535600669210056581306784548365385963003811168309447356430805726137328257002504706537419291368410911835253740518340293572860436313220090449160016062410763347196921373031621497841676049179555709221319379678655809262180807433720296435320359973329842476299612706379884453443756158955594862561709594677498356757390118230922981753446770188055074815651071098662141578761568816027694154948040715605392579638429745261352098163029500046051240366496816508839098148535414356584348050384944663445467198903434913199472520483778604226105830864496026584808405563649498763698654431938044670117006275671085875888543114666245924483575704391788592762783247977160078199262906095319411002046089351274421836805075225960015283043665430239226373698033869916685670900656569049386874583933155423972189356668190855210684444599876416047577366741338981102270409293138711400219505821218689731041807857144622120335771280097875109392781461708018512622878981915766057433496547308261363146672473256446438145009869515909210150536756981285188573469911710864802901750176313096537338729}
30319  741682894462978985085665228977886994024509456877306798190337845447175988754957770423366: {30319,242504,272817,1060745,1272894,1515350,1818420,1939648,2090217,2182104,2454867,4028969,4267929,5119517,5755670,6508265,6906804,7209734,7809918,8663798,8687777,9110969,9227165,10238817,10299620,11037965,11072598,11226089,12320297,12359544,12411110,12494489,13015670,13245558,13904487,14559389,14661812,14893332,15029777,15558665,15618804,15952817,16037270,16183569,16679321,17374406,17800329,17828441,17849270,18488249,18670398,18828929,19168745,19244724,20490609,20844317,21359177,21419124,21471110,22053304,22119329,22287617,23002494,23044889,23175489,23571761,24247929,24638966,24809967,24820580,25750409,25765332,26898470,27015929,27202841,27270365,27675977,29535675,29784696,29847206,29920217,30513110,31287806,31359917,31360756,31504720,31758665,31880177,31903526,32026718,32235137,32278164,32461469,32610617,32724438,32921270,33356438,33507783,33551465,33900161,34924809,34988415,35274998,35442810,36498329,36615732,37320976,37756649,37805664,38110398,39505524,39537110,39701217,40230849,40261758,40441817,40589489,40690769,41652875,41947409,41986098,42162857,42181046,42531372,42789149,42875769,44061137,44801080,45244094,45543110,45875597,46128401,46968929,47444532,47771654,48344294,48796852,49621865,49727289,49983450,50252817,50401215,50729777,50744417,50895638,51086801,51952495,52140470,52877217,53315680,53401449,53730989,53761296,53938070,54651732,54952745,55187198,55664129,56732116,57057158,57587529,58109817,58129670,58723289,59095529,59385245,59487449,59546238,59690468,59924870,59980140,60481458,60663446,60718017,62342994,62568564,62717368,62915846,63978816,64049204,64634420,64692365,64725684,64811489,65431769,65908601,65918217,65943294,65976809,67098470,67659124,67769117,68245220,68439998,68878217,69105065,69213401,69755604,69855137,70557039,71262294,71909844,71976168,72412406,72471110,72991814,73727558,74028689,74217850,75090641,75553517,75678809,76253817,77109149,77561304,77630838,78310569,79313078,79364297,79641688,79655201,80518164,80538206,80973189,81045880,81894264,81901569,82053076,82436966,82579288,82926078,82989617,83051654,83515169,83948817,83996475,84008054,84982070,85088308,85992609,86503017,86614937,86965332,87256467,88123649,88283369,89051817,89061420,89560929,89596240,89596899,89790904,89879780,90150977,90168569,90563249,90929366,91176615,91297336,91418486,91799729,92131047,92901699,93334289,93649865,93859409,94515497,94807217,94998848,95392265,95402141,95612009,95924452,96329177,97171689,97255056,97587256,98708318,98787629,98866804,99609494,99741965,...,8172198999764971825150039444387931601487612070332776918638280831422423548083768373012236755895723346967286691737801668740359286955056117620786842674549952460038069812209110874570931020199464078309710005363746839824269239575833550586285488747945826098210114555820198063486358803106471446169496673791086648634534388584654701259833006701086320065251302626878228412778993348833276320610450164479850001253256449195854093232555177666938703306278541755635153304467231292286970153730492318737455135810940564360140622558398611775193932023412662673282242361491022654892530137859421216399439554517573384127017738895063606190298122527132183411325093812829129010258446998633046515060170424282353995236260207233619990379419096603325457309563700265423959902640145854377353235272598196187881759740563889656405842216253026773642276917895399046560110712344538511843758647338653657018645518522183492932638160822406225053738381374059936729490585163438100316991656282418858775234643875586761414413686506183953191973710073665316657499022883587334538310138866119529057358150187224417624888831772167946884720035684344332020411793666626019178649368064453805928108969921170940026416362386754914482861100538941881551980535237886175146159713550259971548903349602258511567218290888466673303994245481791967839478437257285337493546938402286412517487118609274572909187773248339869464406146620691856917665901284106024567240490448288086520964007920923086374253062284723124317410918431620594268471054988667418624448164589871628553381980928187616812538337456776741028541641223309300029497015981182906152076431205153290017756087219615295740694499027562729100995191119158759328255668867232333191133180625173280337856560149272603841685079968668845198057101735692247956847845746732294890935780764523119458205412287626778206644357282716299924280691392916306332542402171229971987970052260198912092807316756252239016258427244927631283611948587941083225639270278639232571873368048829420873344179343020162475512150255934252129252566807265915837988967372002294347193512131888277102621786681132515934354042948659601349533259791201819533759924470740821516991266078252828374365225232860207557379990502122030070859997192969908074691036984819051790636243837718272405482808368720415911054489507159048867811163832577964374951135227553611101860400140419260791758975901869593950258942770993323897684941658117061367311272781473880164508167784353011361446091026907410088231057353301243845390171384170839694985383062445274802345840346524837388222109351964177714011436810521172648190471167363666289666295744405331545756767799963701278378652975985998306656743073550020956267408194290814364212768433027482217800358158125424817603958205051302470171563806181900804359190159742219622872266425220398269461035621256793514227078761021003186553090320098331317646689693056841174037074463397858196348686528970851295383238454314331483450133851608403187213871593795156101905909178339970864328101510771434922168086019983456576733083993138012296550890289615641072932055387264226789079636052323044606998340959175818091704069130936321232218016773318368708011202465227647408507242314281422856753298215965049508946047970287942420007684120955018517066369949317261307344809186387201728563212011605756053468009553374467592798292967771349638325269226937639553316078812979573422448821450406821190457445745031697227187061707370758787581484956864535181997938370368037886886955140840751164871640332313544979060623998755468673141965932045705422050832672100544461954111251880902995420562028072657784312866035425768618092944681916526966489774329180876743227054507180185424545724459790647173346599663535341774944358797709522799417235195117262552408816714529150504320627153337996478076767788536922481750045815110592260626316781667005435244582070123128384370384729512714134225613408775075712731153847950671748224412596475241074301516437676003339608716559055157881215780338320691120391430480581750960120598880021416547684462929228497375495330455568065572740945628425839571541079016241076578293728580427146631106456635066150275173179271258341545274126483415612792903331142343186824307897309004595693584073433087534761464882855438348758421370258873264054287473856772851239660348469464217372666728068320488662422011785464198047219142112464067179926217927289598537913217599296693978371472301474441152661368779744540751532665018264872575917392893489341700894781167851390819554994565978100939189051457017044330636213437599017208127092548002728119135032562449073433634613353710724887240318968498264045159888914227867542092065849166111910873898629585808890921140280912592799835221396769822321785308136360545724184948533626007761624919641389077142859496160447695040130500145857041948944024683497171975887688076577995396411015150862229964341928584193346492687878946867382342641713584764626548947819737202333568417462049784972}
30320  743976138390605167055553768039409741883403507733995266060026659743058424059920132121015: {212191,303130,363756,393991,666754,1697192,1845799,1909341,2026951,2273025,2389039,2424560,2727630,2786956,2845474,2909472,2931631,3273156,3292999,3570562,4195159,4555519,5455159,5690572,6352999,6465154,6711631,6890839,7908994,8269594,8633505,8990362,9209072,9213991,9470554,9926359,10104271,10360206,10413224,10789762,10814601,10909594,11170231,11714877,11987362,12874525,12995697,13117759,13647391,13651756,13661314,13780762,14528671,14763464,15449430,16285474,16479392,16608897,17660744,18327265,18426754,18539316,18616665,19296641,19523505,19857776,19868337,20473639,20825072,20994199,21510562,21578092,21687271,21860359,21992718,22206319,22339998,23428206,23733772,23757274,23993434,24055905,24893864,25659632,25821511,25992871,26061609,26233762,26773905,27019519,27320812,27531871,27566630,27880834,28005597,28558832,28867086,29574799,29759362,30253471,30669992,30761719,30900652,31025725,31269319,32128686,32206665,32330572,32655854,32956639,33079956,33153754,33629551,34321114,34353776,34503741,35719834,36958449,37230870,37642831,37809151,38394274,38647998,39200945,39380900,39712928,40133914,40347705,40460479,41943751,42563362,42765271,43037552,43632584,44075959,44409634,44566279,44677044,44770809,45055951,45769665,45870631,46195999,46481794,46566412,46651220,46931709,47041134,47257080,47494591,47656591,47855289,48040077,48417246,48465511,48627079,48820976,49086657,49272631,49381905,49756039,49917031,50034657,50407552,50813864,50881471,51867994,52674032,52912497,52934956,53164215,53281231,53351554,53641132,53682344,54035362,54604762,54872071,54877697,54923598,55981464,56001350,56708496,56929399,56991874,57165597,57167692,58126114,59258286,59305665,59824474,60227071,60389794,60392637,60996065,61406362,62407879,62873359,62979147,63183319,63259376,63271569,63548194,63647719,63797058,64110874,64265911,64785562,65235034,66303052,66420511,66644600,67003756,67142434,67201620,67866141,67950871,68262274,68314665,68821594,68865631,69156994,69625951,69686477,70081279,70502956,70831834,70915145,70989991,71166798,71201932,71657481,71681728,72256877,72516441,72868976,73170562,73195278,73250431,74299759,74613085,74947714,74975175,75280474,75502234,76343457,76783372,76833439,77479756,77870671,78210705,78396710,78567041,79394984,79885169,79973520,80061505,80641944,80793025,80814751,80907105,80957356,81465562,81977598,82780797,82858471,83113762,83123992,83149279,83424752,83439799,83552674,83584951,83772034,83875039,84210562,84573905,84598999,85098174,85305088,85306525,85388849,85415194,85585737,86300912,87054754,87190351,87194505,87476839,87890956,87924392,88048951,88191799,89319357,89535702,89670562,89887305,89970210,90105634,90609199,90722187,90892231,90995169,92277154,92598989,92865391,93007472,93035674,93514491,93846679,93852846,94076052,94373769,94982554,95016392,95630362,95798671,95879792,95968224,96073806,96353791,96951630,97046071,97088526,97139674,97247362,97874431,98430874,98914941,99552110,99827074,...,12258298499647457737725059166581897402231418105499165377957421247133635322125652559518355133843585020450930037606702503110538930432584176431180264011824928690057104718313666311856396530299196117464565008045620259736403859363750325879428233121918739147315171833730297095229538204659707169254245010686629972951801582876982051889749510051629480097876953940317342619168490023249914480915675246719775001879884673793781139848832766500408054959417812633452729956700846938430455230595738478106182703716410846540210933837597917662790898035118994009923363542236533982338795206789131824599159331776360076190526608342595409285447183790698275116987640719243693515387670497949569772590255636423530992854390310850429985569128644904988185964345550398135939853960218781566029852908897294281822639610845834484608763324379540160463415376843098569840166068516807767765637971007980485527968277783275239398957241233609337580607572061089905094235877745157150475487484423628288162851965813380142121620529759275929787960565110497974986248534325381001807465208299179293586037225280836626437333247658251920327080053526516498030617690499939028767974052096680708892163454881756410039624543580132371724291650808412822327970802856829262719239570325389957323355024403387767350827436332700009955991368222687951759217655885928006240320407603429618776230677913911859363781659872509804196609219931037785376498851926159036850860735672432129781446011881384629561379593427084686476116377647430891402706582483001127936672246884807442830072971392281425218807506185165111542812461834963950044245523971774359228114646807729935026634130829422943611041748541344093651492786678738138992383503300848499786699770937759920506784840223908905762527619953003267797085652603538371935271768620098442336403671146784679187308118431440167309966535924074449886421037089374459498813603256844957981955078390298368139210975134378358524387640867391446925417922881911624838458905417958848857810052073244131310016269014530243713268225383901378193878850210898873756983451058003441520790268197832415653932680021698773901531064422989402024299889686802729300639886706111232275486899117379242561547837849290311336069985753183045106289995789454862112036555477228577685954365756577408608224212553080623866581734260738573301716745748866946562426702841330416652790600210628891187638463852804390925388414156489985846527412487175592050966909172210820246762251676529517042169136540361115132346586029951865768085257076256259542478074593667912203518760519787256082333164027946266571017155215781758972285706751045499434499443616607997318635151699945551917567979463978997459985114610325031434401112291436221546319152649541223326700537237188137226405937307576953705257345709272851206538785239613329434308399637830597404191553431885190271340618141531504779829635480147496976470034539585261761055611695096787294523029793456276943074857681471497225175200777412604780820807390692734152858863767509956296492152266157152383252129029975184865099625989707018444826335434423461609398083080896340183619454078484566910497511438763727137556103696404481848327025159977553062016803697841471112760863471422134285129947323947574263419071955431913630011526181432527775599554923975891961017213779580802592844818017408634080202014330061701389197439451657024457487903840406459329974118219469360133673232175610231785686168617547545840780592561056138181372227435296802772996907555552056830330432711261126747307460498470317468590935998133203009712948898068558133076249008150816692931166877821354493130843042108986676469299053138652927139417022874790449734661493771315114840581760770278136818586689685970760019899495303012662416538196564284199125852792675893828613225071793725756480940730006994717115151682805383722625068722665888390939475172500508152866873105184692576555577094269071201338420113162613569096730771926007622336618894712861611452274656514005009413074838582736821823670507481036680587145720872626440180898320032124821526694393842746063242995683352098359111418442638759357311618524361614867440592870640719946659684952599225412759768906887512317911189725123419189354996713514780236461845963506893540376110149631302142197324283157523137632055388309896081431210785159276859490522704196326059000092102480732993633017678196297070828713168696100769889326890934397806869826398945040967557208452211661728992053169616811127298997527397308863876089340234012551342171751777086229332491848967151408783577185525566495954320156398525812190638822004092178702548843673610150451920030566087330860478452747396067739833371341801313138098773749167866310847944378713336381710421368889199752832095154733482677962204540818586277422800439011642437379462083615714289244240671542560195750218785562923416037025245757963831532114866993094616522726293344946512892876290019739031818420301073513962570377146939823421729605803500352626193074677458}
30321  746276431784297510171120944565065484924200531391543141938797092931476763512576478228595: {60638,454695,485008,545634,1000131,1485043,2121490,2545788,3030700,3483695,3636840,3879296,4091445,4180434,4268211,4364208,4909734,5355843,5664791,7113215,8057938,8535858,9111571,9697731,10239034,11511340,11863491,12404391,12918031,13016530,13485543,13651319,13813608,14205831,14419468,14560351,15453151,15540309,15619836,16184643,16364391,17064695,17327596,17375554,17829619,17981043,18221938,18454330,20189423,20477634,20491971,20599240,20671143,21782131,22075930,22145196,22452178,23174145,24428211,24640594,24719088,24721603,24822220,24988978,26031340,26339911,26491116,26836243,26972615,27640131,27808974,29078899,29118778,29323624,29667215,29786664,30059554,31117330,31237608,31905634,32074540,32265843,32367138,32989077,33358642,33509997,34151015,34700191,34748812,35049319,35142309,35548931,35600658,35635911,35656882,35698540,35990151,36976498,37340796,37534871,37657858,38096071,38178511,38337490,38489448,38625815,39350643,40413215,40981218,41349945,41688634,41821251,42718354,42838248,42942220,43300629,44106608,44238658,44462131,44575234,44639043,45364723,46004988,46089778,46350978,46972051,47143522,48113431,48193029,48495858,48983781,49226125,49277932,49433879,49619934,49641160,49730631,49828831,51481671,51500818,51530664,51858551,53579751,53796940,54031858,54405682,54515383,54540730,54928343,55351954,55846305,57350711,57591411,57971997,58208015,58314025,59071350,59569392,59694412,59840434,60200871,61026220,62575612,62719834,62721512,62773171,63009440,63280019,63517330,63760354,63807052,63845043,64053436,64470274,64556328,64922938,65221234,65254871,65448876,65842540,66168695,66614451,66712876,67015566,67051415,67102930,67800322,68213311,69470611,69722691,69849618,69976830,70147631,70549996,70561701,70885620,71459615,72625869,72733493,72996658,73231464,73986739,74641952,75513298,75611328,76220796,76933843,77801991,77891983,77953943,79011048,79056659,79074220,79402434,80027331,80461698,80523516,80883634,81053043,81178978,81381538,81599911,81907143,82385397,82556071,82878815,82992899,83139343,83305750,83754695,83894818,83972196,84002025,84325714,84362092,85062744,85487811,85558943,85578298,85751538,86925971,87037891,87189171,88122274,88128695,88887429,89002415,89602160,89736711,90488188,90569311,90584691,91086220,91751194,92109543,92256802,92819639,93340483,93937858,94889064,95037311,95322291,95543308,95695587,95979215,96166311,96387091,96688588,96747091,96849695,97178343,97593704,97776911,97852551,99243730,99454578,99966900,...,18387447749471186606587588749872846103347127158248748066936131870700452983188478839277532700765377530676395056410053754665808395648876264646770396017737393035085657077470499467784594795448794176196847512068430389604605789045625488819142349682878108720972757750595445642844307306989560753881367516029944959427702374315473077834624265077444220146815430910476013928752735034874871721373512870079662502819827010690671709773249149750612082439126718950179094935051270407645682845893607717159274055574616269810316400756396876494186347052678491014885045313354800973508192810183697736898738997664540114285789912513893113928170775686047412675481461078865540273081505746924354658885383454635296489281585466275644978353692967357482278946518325597203909780940328172349044779363345941422733959416268751726913144986569310240695123065264647854760249102775211651648456956511970728291952416674912859098435861850414006370911358091634857641353816617735725713231226635442432244277948720070213182430794638913894681940847665746962479372801488071502711197812448768940379055837921254939655999871487377880490620080289774747045926535749908543151961078145021063338245182322634615059436815370198557586437476212619233491956204285243894078859355488084935985032536605081651026241154499050014933987052334031927638826483828892009360480611405144428164346016870867789045672489808764706294913829896556678064748277889238555276291103508648194672169017822076944342069390140627029714174566471146337104059873724501691905008370327211164245109457088422137828211259277747667314218692752445925066368285957661538842171970211594902539951196244134415416562622812016140477239180018107208488575254951272749680049656406639880760177260335863358643791429929504901695628478905307557902907652930147663504605506720177018780962177647160250964949803886111674829631555634061689248220404885267436972932617585447552208816462701567537786581461301087170388126884322867437257688358126938273286715078109866196965024403521795365569902338075852067290818275316348310635475176587005162281185402296748623480899020032548160852296596634484103036449834530204093950959830059166848413230348676068863842321756773935467004104978629774567659434993684182293168054833215842866528931548634866112912336318829620935799872601391107859952575118623300419843640054261995624979185900315943336781457695779206586388082621234734978769791118730763388076450363758316230370143377514794275563253704810541672698519879044927798652127885614384389313717111890501868305278140779680884123499746041919399856525732823672638458428560126568249151749165424911995977952727549918327876351969195968496189977671915487547151601668437154332319478728974311834990050805855782205839608905961365430557886018563909276809808177859419994151462599456745896106287330147827785407010927212297257169744453220221245464705051809377892641583417542645180941784544690184415414612286522207245837762801166118907171231211086039101229288295651264934444738228399235728574878193544962777297649438984560527667239503151635192414097124621344510275429181117726850365746267158145590706334155544606722772490537739966329593025205546762206669141295207133201427694920985921361395128607933147870445017289272148791663399332385963837941525820669371203889267227026112951120303021495092552083796159177485536686231855760609688994961177329204040200509848263415347678529252926321318761170888841584207272058341152945204159495361333328085245495649066891690120961190747705476202886403997199804514569423347102837199614373512226225039396750316732031739696264563163480014703948579707979390709125534312185674601992240656972672260872641155417205227880034528956140029849242954518993624807294846426298688779189013840742919837607690588634721411095010492075672727524208075583937603083998832586409212758750762229300309657777038864833365641403606802007630169743920353645096157889011433504928342069292417178411984771007514119612257874105232735505761221555020880718581308939660271347480048187232290041590764119094864493525028147538667127663958139035967427786542422301160889305961079919989527428898838119139653360331268476866784587685128784032495070272170354692768945260340310564165224446953213295986424736284706448083082464844122146816177738915289235784056294489088500138153721099490449526517294445606243069753044151154833990336401596710304739598417561451335812678317492593488079754425216690948496291095963295814134010351018827013257627665629343998737773450727113175365778288349743931480234597788718285958233006138268053823265510415225677880045849130996290717679121094101609750057012701969707148160623751799466271916568070004572565632053333799629248142732100224016943306811227879416134200658517463656069193125423571433866361007313840293625328178344385124055537868636945747298172300489641924784089440017419769339314435029608547727630451610270943855565720409735132594408705250528939289612016187}
30322  748583796188443423330384348307958121257872294134484888021770254152866000383627076843043: {90957,424382,606260,727512,787982,818451,878497,1333508,1604257,3182235,3394384,3691598,3788375,3818682,4053902,4546050,4778078,4849120,5455260,5573912,5690948,5818944,5863262,6270651,6546312,6585998,7010737,7141124,7364601,7547821,7905517,8390318,8798497,9111038,9333421,10910318,11381144,11998321,12086907,12705998,12803787,12930308,13236397,13412977,13423262,13781678,14389175,14998957,15358551,15817988,16539188,16754317,16929457,17267010,17804077,17980724,18024335,18418144,18427982,18941108,19373857,19524795,19547917,19852718,20208542,20720412,20826448,21579524,21629202,21659495,21819188,22340462,23429754,23974724,24220321,24736237,25658171,25749050,25991394,26063331,26235518,26793421,27294782,27303512,27322628,27332907,27561524,27681495,28840237,29057342,29526928,29859757,30716451,30898860,31027775,31891021,32539175,32570948,32958784,33113895,33217794,33678267,34750897,35321488,36590317,36654530,36853508,36960891,37078632,37233330,37423537,37483467,37756321,38593282,39047010,39415921,39715552,39736674,39746977,40093175,40947278,41650144,41713461,41891821,41988398,43021124,43156184,43374542,43436015,43678167,43720718,43985436,44412638,44623175,44679996,45089331,45167821,46470157,46675995,46856412,47467544,47514548,47858451,47986868,48111810,48550707,49787728,50037963,51319264,51643022,51953677,51985742,52123218,52467524,53400987,53485323,53547810,53677775,53709937,54039038,54346417,54641624,54881323,55063742,55133260,55464747,55761668,55932577,56011194,56486787,56722957,57117664,57506235,57669037,57734172,59149598,59518724,59553421,60335521,60506942,61339984,61471827,61523438,61597415,61801304,62051450,62205217,62532951,62538638,64077531,64257372,64413330,64661144,65311708,65452237,65913278,66159912,66307508,66357987,66527521,66862851,67246175,67259102,68642228,68707552,69007482,69134667,69526467,70339021,70641997,70715283,70793377,71439668,71549197,72604321,72743787,72905137,73916898,74429901,74461740,74618015,74853421,75285662,75599521,75618302,76282775,76788548,77251227,77295996,78122797,78219515,78401890,78761800,79425856,79758815,80066795,80267828,80695410,80920958,81047787,81608523,81811095,82303175,82524877,82961521,83027931,83391095,83887502,83977837,85126724,85394491,85530542,86075104,87265168,88151918,88187495,88607025,88819268,89132558,89354088,89541618,89760651,89859697,90111902,90851821,91539330,91741262,92391998,92963588,92965921,93132824,93302440,93863418,94079751,94082268,94514160,94785037,94989182,95275995,95313182,95640531,95710578,96037297,96080154,96705411,96730477,96834492,96931022,97254158,97384407,97641952,97831851,98173314,98545262,98763810,98842775,99281203,99512078,99834062,99895921,...,24516596999294915475450118333163794804462836210998330755914842494267270644251305119036710267687170040901860075213405006221077860865168352862360528023649857380114209436627332623712793060598392234929130016091240519472807718727500651758856466243837478294630343667460594190459076409319414338508490021373259945903603165753964103779499020103258960195753907880634685238336980046499828961831350493439550003759769347587562279697665533000816109918835625266905459913401693876860910461191476956212365407432821693080421867675195835325581796070237988019846727084473067964677590413578263649198318663552720152381053216685190818570894367581396550233975281438487387030775340995899139545180511272847061985708780621700859971138257289809976371928691100796271879707920437563132059705817794588563645279221691668969217526648759080320926830753686197139680332137033615535531275942015960971055936555566550478797914482467218675161215144122179810188471755490314300950974968847256576325703931626760284243241059518551859575921130220995949972497068650762003614930416598358587172074450561673252874666495316503840654160107053032996061235380999878057535948104193361417784326909763512820079249087160264743448583301616825644655941605713658525438479140650779914646710048806775534701654872665400019911982736445375903518435311771856012480640815206859237552461355827823718727563319745019608393218439862075570752997703852318073701721471344864259562892023762769259122759186854169372952232755294861782805413164966002255873344493769614885660145942784562850437615012370330223085624923669927900088491047943548718456229293615459870053268261658845887222083497082688187302985573357476277984767006601696999573399541875519841013569680447817811525055239906006535594171305207076743870543537240196884672807342293569358374616236862880334619933071848148899772842074178748918997627206513689915963910156780596736278421950268756717048775281734782893850835845763823249676917810835917697715620104146488262620032538029060487426536450767802756387757700421797747513966902116006883041580536395664831307865360043397547803062128845978804048599779373605458601279773412222464550973798234758485123095675698580622672139971506366090212579991578909724224073110954457155371908731513154817216448425106161247733163468521477146603433491497733893124853405682660833305581200421257782375276927705608781850776828312979971693054824974351184101933818344421640493524503353059034084338273080722230264693172059903731536170514152512519084956149187335824407037521039574512164666328055892533142034310431563517944571413502090998868998887233215994637270303399891103835135958927957994919970229220650062868802224582872443092638305299082446653401074474376274452811874615153907410514691418545702413077570479226658868616799275661194808383106863770380542681236283063009559659270960294993952940069079170523522111223390193574589046059586912553886149715362942994450350401554825209561641614781385468305717727535019912592984304532314304766504258059950369730199251979414036889652670868846923218796166161792680367238908156969133820995022877527454275112207392808963696654050319955106124033607395682942225521726942844268570259894647895148526838143910863827260023052362865055551199109847951783922034427559161605185689636034817268160404028660123402778394878903314048914975807680812918659948236438938720267346464351220463571372337235095091681561185122112276362744454870593605545993815111104113660660865422522253494614920996940634937181871996266406019425897796137116266152498016301633385862333755642708986261686084217973352938598106277305854278834045749580899469322987542630229681163521540556273637173379371941520039798990606025324833076393128568398251705585351787657226450143587451512961881460013989434230303365610767445250137445331776781878950345001016305733746210369385153111154188538142402676840226325227138193461543852015244673237789425723222904549313028010018826149677165473643647341014962073361174291441745252880361796640064249643053388787685492126485991366704196718222836885277518714623237048723229734881185741281439893319369905198450825519537813775024635822379450246838378709993427029560472923691927013787080752220299262604284394648566315046275264110776619792162862421570318553718981045408392652118000184204961465987266035356392594141657426337392201539778653781868795613739652797890081935114416904423323457984106339233622254597995054794617727752178680468025102684343503554172458664983697934302817567154371051132991908640312797051624381277644008184357405097687347220300903840061132174661720956905494792135479666742683602626276197547498335732621695888757426672763420842737778399505664190309466965355924409081637172554845600878023284874758924167231428578488481343085120391500437571125846832074050491515927663064229733986189233045452586689893025785752580039478063636840602147027925140754293879646843459211607000705252386149354916}
30323  750898253212891230242513896436360032264199744403952271171693687657105416767030672016126: {30323,121276,636573,757825,909390,970016,1091268,1181973,1666885,2000262,2970086,4242980,4877173,5091576,5537397,5728023,6061400,6080853,6331237,6694753,6819075,6967390,7113685,7167117,7273680,7758592,8182890,8360868,8536422,8728416,8794893,8926405,9819468,9878997,9958501,10711686,11329582,12585477,13652221,13666557,14226430,14317237,16115876,16133377,16162885,16365477,17071716,17640997,18223142,19039201,19058997,19395462,19634197,19772485,20134893,20190757,20478068,20672517,20673985,21581797,22475905,23022680,23618221,23676385,23726982,23890573,24176941,24808782,25836062,25900515,26033060,26971086,26974405,27257953,27273985,27302638,27627216,27641973,28411662,28534237,28838936,29120702,29588317,29779077,29968405,30312813,30906302,31080618,31239672,32369286,32443803,32703493,32728782,33510693,33564421,34129390,34153285,34451905,34655192,34751108,35144631,35659238,35962086,35970817,36213397,36443876,36908660,37761661,38623575,38987091,39353277,40378846,40713685,40942173,40955268,40983942,41037037,41198480,41342286,41534101,42012373,42644653,43490821,43564262,43586013,44151860,44290392,44359393,44904356,46066885,46348290,46480417,47811421,48856422,49281188,49438176,49443206,49644440,49826691,49977956,50097421,50835121,52062680,52679822,52885453,52982232,53672486,53776405,53945230,54076141,54981795,55280262,55617948,55849995,55955041,56578501,57354517,57889923,57959557,58157798,58237556,58421857,58570515,58647248,59331877,59334430,59393185,59573328,59605011,59983585,60119108,61390501,61420917,61841917,62229157,62234660,62475216,62982597,63811268,63942637,64149080,64531686,64734276,65061813,65581077,65584405,65917357,65978154,66618957,66717284,67019994,67382893,67778113,68302030,68916575,69400382,69497624,69702085,70098638,70263601,70284618,71097862,71201316,71271822,71313764,71397080,71536693,71980302,72167715,72717877,73109437,73808317,73952996,74398405,74681592,74785477,75069742,75285493,75315716,76192142,76357022,76674980,76978896,77119393,77251630,77464533,77978613,78184827,78456013,78701286,79718221,80321715,80826430,81058557,81491221,81639635,81962436,82595613,82699890,82884385,83330077,83377268,83642502,84016791,84944161,85436708,85564621,85676496,85802785,85884440,86601258,87944221,88213216,88477316,88621153,88724397,88924262,89150468,89278086,89299585,90729446,90760413,90899197,92009976,92179556,92285157,92636173,92701956,92753413,93077175,93430597,93480277,93670261,93807957,93871981,93944102,94287044,94469797,95624701,95985685,96226862,96386058,96424717,96619995,96991716,97827517,97967562,98082517,98452250,98555864,98800753,98867758,98869917,98903137,99239868,99282320,99438721,99461262,99657662,...,36774895498942373213175177499745692206694254316497496133872263741400905966376957678555065401530755061352790112820107509331616791297752529293540792035474786070171314154940998935569189590897588352393695024136860779209211578091250977638284699365756217441945515501190891285688614613979121507762735032059889918855404748630946155669248530154888440293630861820952027857505470069749743442747025740159325005639654021381343419546498299501224164878253437900358189870102540815291365691787215434318548111149232539620632801512793752988372694105356982029770090626709601947016385620367395473797477995329080228571579825027786227856341551372094825350962922157731080546163011493848709317770766909270592978563170932551289956707385934714964557893036651194407819561880656344698089558726691882845467918832537503453826289973138620481390246130529295709520498205550423303296913913023941456583904833349825718196871723700828012741822716183269715282707633235471451426462453270884864488555897440140426364861589277827789363881695331493924958745602976143005422395624897537880758111675842509879311999742974755760981240160579549494091853071499817086303922156290042126676490364645269230118873630740397115172874952425238466983912408570487788157718710976169871970065073210163302052482308998100029867974104668063855277652967657784018720961222810288856328692033741735578091344979617529412589827659793113356129496555778477110552582207017296389344338035644153888684138780281254059428349132942292674208119747449003383810016740654422328490218914176844275656422518555495334628437385504891850132736571915323077684343940423189805079902392488268830833125245624032280954478360036214416977150509902545499360099312813279761520354520671726717287582859859009803391256957810615115805815305860295327009211013440354037561924355294320501929899607772223349659263111268123378496440809770534873945865235170895104417632925403135075573162922602174340776253768645734874515376716253876546573430156219732393930048807043590731139804676151704134581636550632696621270950353174010324562370804593497246961798040065096321704593193268968206072899669060408187901919660118333696826460697352137727684643513547870934008209957259549135318869987368364586336109666431685733057863097269732225824672637659241871599745202782215719905150237246600839687280108523991249958371800631886673562915391558413172776165242469469957539582237461526776152900727516632460740286755029588551126507409621083345397039758089855597304255771228768778627434223781003736610556281559361768246999492083838799713051465647345276916857120253136498303498330849823991955905455099836655752703938391936992379955343830975094303203336874308664638957457948623669980101611711564411679217811922730861115772037127818553619616355718839988302925198913491792212574660295655570814021854424594514339488906440442490929410103618755785283166835085290361883569089380368830829224573044414491675525602332237814342462422172078202458576591302529868889476456798471457149756387089925554595298877969121055334479006303270384828194249242689020550858362235453700731492534316291181412668311089213445544981075479932659186050411093524413338282590414266402855389841971842722790257215866295740890034578544297583326798664771927675883051641338742407778534454052225902240606042990185104167592318354971073372463711521219377989922354658408080401019696526830695357058505852642637522341777683168414544116682305890408318990722666656170490991298133783380241922381495410952405772807994399609029138846694205674399228747024452450078793500633464063479392529126326960029407897159415958781418251068624371349203984481313945344521745282310834410455760069057912280059698485909037987249614589692852597377558378027681485839675215381177269442822190020984151345455048416151167875206167997665172818425517501524458600619315554077729666731282807213604015260339487840707290192315778022867009856684138584834356823969542015028239224515748210465471011522443110041761437162617879320542694960096374464580083181528238189728987050056295077334255327916278071934855573084844602321778611922159839979054857797676238279306720662536953733569175370257568064990140544340709385537890520680621128330448893906426591972849472569412896166164929688244293632355477830578471568112588978177000276307442198980899053034588891212486139506088302309667980672803193420609479196835122902671625356634985186976159508850433381896992582191926591628268020702037654026515255331258687997475546901454226350731556576699487862960469195577436571916466012276536107646531020830451355760091698261992581435358242188203219500114025403939414296321247503598932543833136140009145131264106667599258496285464200448033886613622455758832268401317034927312138386250847142867732722014627680587250656356688770248111075737273891494596344600979283849568178880034839538678628870059217095455260903220541887711131440819470265188817410501057878579224032374}
30324  753219824533147911052381479968222983898832860078673136825914095069683201161265408832123: {151595,181914,333443,515219,848764,939083,1212520,1364085,1455024,1575964,1604363,1636902,1756994,2147963,2510003,2667016,3000393,3052523,3208514,3413843,3835019,4135619,4455129,4916243,5303725,5755403,6353843,6364470,6788768,6832019,7011203,7383196,7576750,7637364,8107804,8323019,9092100,9334043,9393443,9556156,9698240,10451085,10910520,11147824,11381896,11637888,11726524,11881019,12274335,12541302,12804633,13092624,13171996,13237283,13649219,13766843,14021474,14282248,14530619,14648003,14729202,15095642,15527363,15811034,16067529,16755443,16780636,16988963,16994373,17596994,17863523,18038219,18222076,18666842,19026803,19375163,19607243,20144845,20244803,20476403,21339645,21820636,21978683,22209323,22382219,22762288,23245619,23533019,23996642,24173814,24279323,25234069,25411996,25597585,25607574,25860616,25939283,26110619,26472794,26825954,26846524,27334713,27535619,27563356,27649403,28672019,28778350,29069003,29093193,29239019,29692043,29918363,29997914,30323293,30717102,31635976,31949483,32230763,32541325,32624219,32792723,33078376,33508634,33578123,33858914,34138163,34534020,34585619,34753283,34976723,35590473,35590523,35608154,35961448,36048670,36836288,36855964,37213173,37481603,37648019,37758923,37814363,37882216,37925219,38747714,38754093,39049590,39095834,39705436,40417084,40456629,40953957,41126123,41440824,41652896,41949563,42617493,42716483,42880619,43159048,43258404,43318990,43438885,43536443,43638376,43681053,44082083,44680924,44681363,45170963,45554845,45985523,46135825,46310843,46359453,46527563,46620927,46690019,46859508,46960619,47663243,47771219,47949448,48440642,48472283,48553929,48580019,49093173,49225763,49472474,49548203,50084963,50728019,50888603,50995619,51194085,51316342,51498100,51637043,51982788,52126662,52170683,52471036,52597019,52969643,53395019,53488857,53586842,53943129,54350243,54589564,54607024,54645256,54665814,54826883,55123048,55189825,55362990,55936523,56130445,57095219,57358019,57680474,58114684,59053856,59609843,59719514,60339803,60391883,60568269,60810421,60860243,61432902,61475913,61601485,61797720,62013429,62055550,62209643,62472445,62830619,62985683,63605219,63759923,63782042,64275083,64378019,65078350,65141896,65346393,65508203,65917568,65918219,66227790,66276563,66430019,66435588,66532283,66583403,67356534,67604123,68062403,68875523,68977019,69501794,69522435,70091363,70344083,70642976,70848923,71000219,71856203,72796945,72910403,73180634,73284633,73309060,73707016,73861163,73921782,74011019,74157264,74164809,74410283,74466660,74759219,74847074,74908643,74966934,75148885,75512642,75605003,76993019,77186564,77793325,77980619,78094020,78128483,78831842,79019733,79210619,79431104,79456019,79473348,79493954,79764085,79946219,80186350,80191019,80508729,80917845,80924219,81070643,81894556,82920393,82967603,83300288,83396605,83426922,83783642,83976796,83984003,86042248,86236381,86312368,86341883,86749084,86872030,87203219,87236697,87298763,87356334,87441436,87970872,88014323,88157219,88825276,89001645,89142205,89246350,89345219,89359992,89487443,89913683,90178662,90197483,90335642,90858563,90905723,92316803,92441245,92940314,92972843,93019643,93351990,93674003,93712824,94140443,94144645,94838603,94935088,94978019,95029096,95716902,95843725,95973736,96044483,96223620,96368219,96506843,96737723,96797529,96922283,97060619,97101414,97198883,97981019,98302403,98440019,98967231,99127019,99264203,99575456,...,55162343248413559819762766249618538310041381474746244200808395612101358949565436517832598102296132592029185169230161263997425186946628793940311188053212179105256971232411498403353784386346382528590542536205291168813817367136876466457427049048634326162918273251786336928532921920968682261644102548089834878283107122946419233503872795232332660440446292731428041786258205104624615164120538610238987508459481032072015129319747449251836247317380156850537284805153811222937048537680823151477822166723848809430949202269190629482559041158035473044655135940064402920524578430551093210696216992993620342857369737541679341784512327058142238026444383236596620819244517240773063976656150363905889467844756398826934935061078902072446836839554976791611729342820984517047134338090037824268201878248806255180739434959707930722085369195793943564280747308325634954945370869535912184875857250024738577295307585551242019112734074274904572924061449853207177139693679906327296732833846160210639547292383916741684045822542997240887438118404464214508133593437346306821137167513763764818967999614462133641471860240869324241137779607249725629455883234435063190014735546967903845178310446110595672759312428637857700475868612855731682236578066464254807955097609815244953078723463497150044801961157002095782916479451486676028081441834215433284493038050612603367137017469426294118884741489689670034194244833667715665828873310525944584016507053466230833026208170421881089142523699413439011312179621173505075715025110981633492735328371265266413484633777833243001942656078257337775199104857872984616526515910634784707619853588732403246249687868436048421431717540054321625465725764853818249040148969219919642280531781007590075931374289788514705086885436715922673708722958790442990513816520160531056342886532941480752894849411658335024488894666902185067744661214655802310918797852756342656626449388104702613359744383903261511164380652968602311773065074380814819860145234329598590895073210565386096709707014227556201872454825949044931906425529761015486843556206890245870442697060097644482556889789903452309109349503590612281852879490177500545239691046028206591526965270321806401012314935889323702978304981052546879504164499647528599586794645904598338737008956488862807399617804173323579857725355869901259530920162785986874937557700947830010344373087337619759164247863704204936309373356192290164229351091274948691110430132544382826689761114431625018095559637134783395956383656843153167941151335671505604915834422339042652370499238125758199569577198471017915375285680379704747455247496274735987933858182649754983629055907587905488569933015746462641454805005311462996958436186922935504970152417567346617518826717884096291673658055691727830429424533578259982454387798370237688318861990443483356221032781636891771509233359660663736394115155428133677924750252627935542825353634070553246243836859566621737513288403498356721513693633258117303687864886953794803334214685197707185724634580634888331892948316953681583001718509454905577242291373864033530826287543353180551097238801474436772119002466633820168317471613219898988779075616640286620007423885621399604283084762957764084185385823799443611335051867816446374990197997157891513824577462008113611667801681078338853360909064485277656251388477532456610058695567281829066984883531987612120601529544790246043035587758778963956283512666524752621816175023458835612478486083999984255736486947200675070362883572243116428608659211991599413543708270041308511598843120536678675118190250950196095219088793689490440044111845739123938172127376602936557023805976721970918016782617923466251615683640103586868420089547728863556980874421884539278896066337567041522228759512823071765904164233285031476227018182572624226751812809251996497759227638276252286687900928973331116594500096924210820406022890509231761060935288473667034300514785026207877251535235954313022542358836773622315698206517283664665062642155743926818980814042440144561696870124772292357284593480575084442616001382991874417107902283359627266903482667917883239759968582286696514357418960080993805430600353763055386352097485210816511064078306835781020931692495673340859639887959274208854119344249247394532366440448533216745867707352168883467265500414461163298471348579551883336818729209259132453464501971009204790130914218795252684354007438034952477780464239263275650072845488873287889887442402031053056481039772882996888031996213320352181339526097334865049231794440703793366154857874699018414804161469796531245677033640137547392988872153037363282304829250171038105909121444481871255398398815749704210013717696896160001398887744428196300672050829920433683638248402601975552390968207579376270714301599083021941520880875984535033155372166613605910837241894516901468925774352268320052259308017943305088825643182891354830812831566697161229205397783226115751586817868836048561}
30325  755548531890577437820109553833441491302694542056318786115848191209181371991193003668454: {60646,242552,272871,1060955,1273146,1515650,1818780,1940032,1969955,2182536,2333639,2363946,2455353,2635491,3333770,4000524,4812771,5940172,7482371,8485960,9228995,9546705,9754346,9959159,10134755,10183152,11074794,11365125,11456046,11945195,12122800,12161706,12496967,12662474,13389506,13638150,13934780,14227370,14318183,14334234,14547360,14658155,15517184,16134443,16365780,16464995,16721736,16920371,17072844,17456832,17589786,17852810,18811953,19040459,19638936,19757994,19917002,20299763,20848451,20975795,21032211,21279107,21423372,21583223,22093803,22628039,22643463,22659164,22777595,23204051,23716551,24283523,25170954,26395491,27021287,27275795,27304442,27333114,27681479,27912443,28000263,28452860,28634474,28943579,29926151,30464771,31466267,31764995,32231752,32266754,32325770,32467907,32730954,33146939,33558155,34143432,34229063,34444499,34454195,34968011,35281994,35994963,36260721,36446284,37725491,37764167,38078402,38117994,38183579,38411361,38451563,38790924,39268394,39544970,39667043,39709191,40238931,40269786,40381514,40956136,41345034,41347970,41955767,42171239,42428123,42797651,43163594,43167525,44951810,44996871,46045360,46069955,46075653,47236442,47352770,47453964,47661671,47781146,47814599,48232667,48353882,49617564,49631795,49685963,49817939,50262951,50521355,50788371,51398243,51672124,51801030,52066120,52589099,53314883,53412231,53942172,53948810,54073005,54515906,54547970,54605276,54915191,55254432,55283946,55851155,56823324,56999159,57068474,57677872,58121571,58241404,58574385,58643751,59107271,59176634,59206043,59558154,59936810,59994803,60625626,61812604,62161236,62479344,62537987,63982091,64372625,64493639,64738572,64887606,64978485,65160779,65406986,65457564,65588795,66520823,67021386,67128842,67782611,68236955,68258780,68306570,68903810,69310384,69502216,69869063,70119491,70289262,71289347,71318476,71924172,71941634,72426794,72643355,72660963,72887752,73813223,73817320,74208711,75286967,75523322,75568571,75587723,76675751,76974513,77247150,77732903,77902331,77974182,78189993,78529907,78706554,80380263,80757692,81427370,81884346,81910536,81967884,81998721,82074074,82396960,82684572,83044485,83068202,83150459,83977019,84024746,85289306,86520711,86981642,87128524,87172026,87228011,88303720,88580784,88718786,89579271,89808712,90421523,90802379,91636325,91818167,92133770,92149353,92234183,92696580,92960834,93083325,94212443,95134439,95421107,95622842,95631047,95673063,96483205,97582919,97617525,97672163,97712844,98562376,98876352,98886412,99047171,99288880,99341685,99653382,99955912,...,73549790997884746426350354999491384413388508632994992267744527482801811932753915357110130803061510122705580225640215018663233582595505058587081584070949572140342628309881997871138379181795176704787390048273721558418423156182501955276569398731512434883891031002381782571377229227958243015525470064119779837710809497261892311338497060309776880587261723641904055715010940139499486885494051480318650011279308042762686839092996599002448329756506875800716379740205081630582731383574430868637096222298465079241265603025587505976745388210713964059540181253419203894032771240734790947594955990658160457143159650055572455712683102744189650701925844315462161092326022987697418635541533818541185957126341865102579913414771869429929115786073302388815639123761312689396179117453383765690935837665075006907652579946277240962780492261058591419040996411100846606593827826047882913167809666699651436393743447401656025483645432366539430565415266470942902852924906541769728977111794880280852729723178555655578727763390662987849917491205952286010844791249795075761516223351685019758623999485949511521962480321159098988183706142999634172607844312580084253352980729290538460237747261480794230345749904850476933967824817140975576315437421952339743940130146420326604104964617996200059735948209336127710555305935315568037441922445620577712657384067483471156182689959235058825179655319586226712258993111556954221105164414034592778688676071288307777368277560562508118856698265884585348416239494898006767620033481308844656980437828353688551312845037110990669256874771009783700265473143830646155368687880846379610159804784976537661666250491248064561908956720072428833954301019805090998720198625626559523040709041343453434575165719718019606782513915621230231611630611720590654018422026880708075123848710588641003859799215544446699318526222536246756992881619541069747891730470341790208835265850806270151146325845204348681552507537291469749030753432507753093146860312439464787860097614087181462279609352303408269163273101265393242541900706348020649124741609186994493923596080130192643409186386537936412145799338120816375803839320236667393652921394704275455369287027095741868016419914519098270637739974736729172672219332863371466115726194539464451649345275318483743199490405564431439810300474493201679374560217047982499916743601263773347125830783116826345552330484938939915079164474923053552305801455033264921480573510059177102253014819242166690794079516179711194608511542457537557254868447562007473221112563118723536493998984167677599426102931294690553833714240506272996606996661699647983911810910199673311505407876783873984759910687661950188606406673748617329277914915897247339960203223423128823358435623845461722231544074255637107239232711437679976605850397826983584425149320591311141628043708849189028678977812880884981858820207237511570566333670170580723767138178760737661658449146088828983351051204664475628684924844344156404917153182605059737778952913596942914299512774179851109190597755938242110668958012606540769656388498485378041101716724470907401462985068632582362825336622178426891089962150959865318372100822187048826676565180828532805710779683943685445580514431732591481780069157088595166653597329543855351766103282677484815557068908104451804481212085980370208335184636709942146744927423042438755979844709316816160802039393053661390714117011705285275044683555366336829088233364611780816637981445333312340981982596267566760483844762990821904811545615988799218058277693388411348798457494048904900157587001266928126958785058252653920058815794318831917562836502137248742698407968962627890689043490564621668820911520138115824560119396971818075974499229179385705194755116756055362971679350430762354538885644380041968302690910096832302335750412335995330345636851035003048917201238631108155459333462565614427208030520678975681414580384631556045734019713368277169668713647939084030056478449031496420930942023044886220083522874325235758641085389920192748929160166363056476379457974100112590154668510655832556143869711146169689204643557223844319679958109715595352476558613441325073907467138350740515136129980281088681418771075781041361242256660897787812853183945698945138825792332329859376488587264710955661156943136225177956354000552614884397961798106069177782424972279012176604619335961345606386841218958393670245805343250713269970373952319017700866763793985164383853183256536041404075308053030510662517375994951093802908452701463113153398975725920938391154873143832932024553072215293062041660902711520183396523985162870716484376406439000228050807878828592642495007197865087666272280018290262528213335198516992570928400896067773227244911517664536802634069854624276772501694285735465444029255361174501312713377540496222151474547782989192689201958567699136357760069679077357257740118434190910521806441083775422262881638940530377634821002115757158448064748}
30326  757884397092599705628694391142598105372587530573207870870547979104479547264893307071335: {90969,212233,303190,363828,394069,575833,666886,1030438,1697528,1878166,1909719,2027353,2208469,2273475,2425040,2728170,2910048,3112969,3151928,3208726,3273804,3513988,3545919,4195993,4295926,4736533,5000655,5020006,5334032,5815669,6000786,6105046,6417028,6712969,6827686,6892213,7425215,7670038,8271238,8910258,9394069,9832486,10106293,10607450,10994953,11349913,11510806,12236053,12707686,12728940,13577536,13664038,13826569,14022406,14631519,14766392,15153500,15274728,15586969,16215608,16612191,16646038,17184069,17418475,18184200,18242559,18668086,18786886,18993711,19086169,19112312,19396480,20084259,20457225,20902170,21341055,21501351,21518473,21821040,21864793,22295648,22383733,22763792,23275776,23453048,23762038,24548670,25082604,25140469,25609266,25998169,26185248,26343992,26384679,26474566,26779215,27298438,27533686,27537493,28042948,28202783,28323955,28564496,29061238,29296006,29458404,29636991,29875503,30191284,30429193,31054726,31622068,32135058,32626453,33510886,33561272,33636469,33977926,33988746,35193988,35566075,35727046,35836619,36076438,36317173,36444152,37333684,37756431,37816969,38053606,38750326,39214486,40289690,40319983,40468873,40489606,40952806,40956663,40999671,41787913,42116953,42679290,42774169,42938293,42951711,43641272,43957366,44418646,44764438,45065353,45524576,45557855,45880213,46491238,47066038,47504533,47666569,47828533,47993284,48347628,48400131,48488655,48558646,48637273,49096431,49282969,49927513,50088469,50468138,50731573,50823992,51052693,51195170,51215148,51721232,51878566,52221238,52922991,52945588,53451913,53651908,53693048,54669426,54883669,55071238,55126712,55298806,57099253,57117603,57176991,57344038,57414613,57556700,58138006,58186386,58478038,58902591,59317455,59384086,59836726,59995828,60396169,60404679,60572271,60646586,60814439,61434204,61954969,62017551,62021955,62886793,63271952,63661333,63776783,63898966,64461526,64590155,64745391,65082650,65248438,65585446,66156752,66588169,67017268,67156246,67427715,67717828,68256595,68276326,69068040,69171238,69506566,69640969,69953446,70854663,71029155,71180946,71181046,71216308,71671719,71911669,71922896,72097340,72530823,72801755,73672576,73711928,74426346,74963206,75296038,75517846,75628726,75764432,75850438,76998613,77265755,77495428,77508186,77701545,78099180,78191668,78582623,79410872,79952053,80834168,80913258,80923215,81773859,81821955,81907914,82252246,82881648,82925919,83167573,83305792,83603353,83899126,85234986,85323475,85432966,85602711,85761238,86242079,86318096,86516808,86637980,86877770,87072886,87209653,87276752,87362106,87461423,88068469,88164166,88211353,88764951,89148095,89337231,89361848,89362726,89905215,90341926,90912469,90938439,91109690,91971046,92271650,92323669,92621686,92718906,93026569,93055126,93241854,93380038,93719016,93921238,95326486,95542438,95898896,96514069,96881284,96944566,97107858,97160038,97206169,97331409,98110479,98186346,98451526,98944948,99096406,...,110324686496827119639525532499237076620082762949492488401616791224202717899130873035665196204592265184058370338460322527994850373893257587880622376106424358210513942464822996806707568772692765057181085072410582337627634734273752932914854098097268652325836546503572673857065843841937364523288205096179669756566214245892838467007745590464665320880892585462856083572516410209249230328241077220477975016918962064144030258639494898503672494634760313701074569610307622445874097075361646302955644333447697618861898404538381258965118082316070946089310271880128805841049156861102186421392433985987240685714739475083358683569024654116284476052888766473193241638489034481546127953312300727811778935689512797653869870122157804144893673679109953583223458685641969034094268676180075648536403756497612510361478869919415861444170738391587887128561494616651269909890741739071824369751714500049477154590615171102484038225468148549809145848122899706414354279387359812654593465667692320421279094584767833483368091645085994481774876236808928429016267186874692613642274335027527529637935999228924267282943720481738648482275559214499451258911766468870126380029471093935807690356620892221191345518624857275715400951737225711463364473156132928509615910195219630489906157446926994300089603922314004191565832958902973352056162883668430866568986076101225206734274034938852588237769482979379340068388489667335431331657746621051889168033014106932461666052416340843762178285047398826878022624359242347010151430050221963266985470656742530532826969267555666486003885312156514675550398209715745969233053031821269569415239707177464806492499375736872096842863435080108643250931451529707636498080297938439839284561063562015180151862748579577029410173770873431845347417445917580885981027633040321062112685773065882961505789698823316670048977789333804370135489322429311604621837595705512685313252898776209405226719488767806523022328761305937204623546130148761629639720290468659197181790146421130772193419414028455112403744909651898089863812851059522030973687112413780491740885394120195288965113779579806904618218699007181224563705758980355001090479382092056413183053930540643612802024629871778647405956609962105093759008328999295057199173589291809196677474017912977725614799235608346647159715450711739802519061840325571973749875115401895660020688746174675239518328495727408409872618746712384580328458702182549897382220860265088765653379522228863250036191119274269566791912767313686306335882302671343011209831668844678085304740998476251516399139154396942035830750571360759409494910494992549471975867716365299509967258111815175810977139866031492925282909610010622925993916872373845871009940304835134693235037653435768192583347316111383455660858849067156519964908775596740475376637723980886966712442065563273783543018466719321327472788230310856267355849500505255871085650707268141106492487673719133243475026576806996713443027387266516234607375729773907589606668429370395414371449269161269776663785896633907363166003437018909811154484582747728067061652575086706361102194477602948873544238004933267640336634943226439797977558151233280573240014847771242799208566169525915528168370771647598887222670103735632892749980395994315783027649154924016227223335603362156677706721818128970555312502776955064913220117391134563658133969767063975224241203059089580492086071175517557927912567025333049505243632350046917671224956972167999968511472973894401350140725767144486232857217318423983198827087416540082617023197686241073357350236380501900392190438177587378980880088223691478247876344254753205873114047611953443941836033565235846932503231367280207173736840179095457727113961748843769078557792132675134083044457519025646143531808328466570062952454036365145248453503625618503992995518455276552504573375801857946662233189000193848421640812045781018463522121870576947334068601029570052415754503070471908626045084717673547244631396413034567329330125284311487853637961628084880289123393740249544584714569186961150168885232002765983748834215804566719254533806965335835766479519937164573393028714837920161987610861200707526110772704194970421633022128156613671562041863384991346681719279775918548417708238688498494789064732880897066433491735414704337766934531000828922326596942697159103766673637458418518264906929003942018409580261828437590505368708014876069904955560928478526551300145690977746575779774884804062106112962079545765993776063992426640704362679052194669730098463588881407586732309715749398036829608322939593062491354067280275094785977744306074726564609658500342076211818242888963742510796797631499408420027435393792320002797775488856392601344101659840867367276496805203951104781936415158752541428603198166043883041761751969070066310744333227211821674483789033802937851548704536640104518616035886610177651286365782709661625663133394322458410795566452231503173635737672097122}
30327  760227442012890061098042766536218336867974365642041729277236647936937473982782638902277: {121292,454785,485104,545742,1000329,1485337,1545657,2121910,2546292,2757937,2817249,3031300,3637560,3880064,3939910,4092255,4365072,4392485,4667278,4727892,4813089,4910706,5270982,6443889,6667540,7530009,7664129,8001048,8021285,8754677,9001179,9157569,9625542,10241529,11505057,11880344,12406857,12920593,13365387,14188657,14748729,14964742,15649073,15911175,16723273,16921489,16971920,17266209,18457990,18941875,19061529,19093410,19508692,19918318,20269510,20366304,20496057,20521417,21033609,21097493,21280513,22149588,22730250,22912092,23050993,23890390,23990629,24245600,24323412,24969057,24993934,25324948,25456229,26779012,27276300,27869560,28002129,28180329,28454740,28636366,28668468,28698709,29094720,29316310,29366113,31034368,31353255,31888633,32268886,32731560,32929990,33443472,33840742,34145688,34707073,34913664,35053685,35179572,35643057,35705620,36823005,37542329,37623906,37739105,38080918,38186113,38413899,38496793,39277872,39515988,39527585,39711849,39834004,40327249,40452529,40599526,40947657,41300529,41416357,41696902,41951590,42064422,42558214,42846744,43166446,43591857,43944009,43992485,44187606,44470993,45256078,45286926,45318328,45555190,46408102,46582089,46667105,46981417,47433102,48202587,48235873,48567046,49838737,50266329,50341908,50966889,50983119,52790982,53590569,54042574,54114657,54551590,54608884,54666228,54939257,55362958,55678873,55824886,55915609,56000526,56905720,57080409,57268948,57887158,58008437,58125489,58821729,59339753,59852302,59991605,60434535,60734409,60929542,61429209,62932534,63529990,64018935,64463504,64497937,64533508,64651540,64935814,65267873,65461908,65936049,66181985,66293878,66627969,67064885,67116310,67146657,68286864,68394649,68458126,68888998,68908390,69484513,69736857,69936022,70161569,70563988,70599057,70729897,70902949,71945875,71989926,72521442,72826753,72837969,72892568,74314817,74922817,74994785,75132233,75450982,75528334,75702207,76156804,76235988,76367158,76397813,76792755,76822722,76903126,77581848,77817849,78191617,78331857,78536788,79089940,79274929,79334086,79418382,79676329,80477862,80539572,80763028,81912272,82004139,82572529,82606857,82690068,82695940,82948209,83771585,83911534,84342478,84647285,84856246,84976793,85595302,86016057,86327188,86335050,87207009,87233809,87279579,87717057,88306753,88447013,88632917,88909073,89020385,89076129,89755089,89903620,89993742,90121675,90969879,91824313,92090720,92139910,92151306,94472884,94705540,94832329,94907928,95323342,95531737,95562292,95629198,95848449,96465334,96692289,96707764,96869285,97623975,97739585,97796393,97872657,98378169,99235128,99263590,99371926,99635878,...,165487029745240679459288298748855614930124144424238732602425186836304076848696309553497794306888397776087555507690483791992275560839886381820933564159636537315770913697234495210061353159039147585771627608615873506441452101410629399372281147145902978488754819755359010785598765762906046784932307644269504634849321368839257700511618385696997981321338878194284125358774615313873845492361615830716962525378443096216045387959242347755508741952140470551611854415461433668811145613042469454433466500171546428292847606807571888447677123474106419133965407820193208761573735291653279632088650978980861028572109212625038025353536981174426714079333149709789862457733551722319191929968451091717668403534269196480804805183236706217340510518664930374835188028462953551141403014270113472804605634746418765542218304879123792166256107587381830692842241924976904864836112608607736554627571750074215731885922756653726057338202222824713718772184349559621531419081039718981890198501538480631918641877151750225052137467628991722662314355213392643524400780312038920463411502541291294456903998843386400924415580722607972723413338821749176888367649703305189570044206640903711535534931338331787018277937285913573101427605838567195046709734199392764423865292829445734859236170390491450134405883471006287348749438354460028084244325502646299853479114151837810101411052408278882356654224469069010102582734501003146997486619931577833752049521160398692499078624511265643267427571098240317033936538863520515227145075332944900478205985113795799240453901333499729005827968234772013325597314573618953849579547731904354122859560766197209738749063605308145264295152620162964876397177294561454747120446907659758926841595343022770227794122869365544115260656310147768021126168876371328971541449560481593169028659598824442258684548234975005073466684000706555203233983643967406932756393558269027969879348164314107840079233151709784533493141958905806935319195223142444459580435702988795772685219631696158290129121042682668605617364477847134795719276589283046460530668620670737611328091180292933447670669369710356927328048510771836845558638470532501635719073138084619774580895810965419203036944807667971108934914943157640638512493498942585798760383937713795016211026869466588422198853412519970739573176067609703778592760488357960624812673102843490031033119262012859277492743591112614808928120068576870492688053273824846073331290397633148480069283343294875054286678911404350187869150970529459503823454007014516814747503267017127957111497714377274598708731595413053746125857041139114242365742488824207963801574547949264950887167722763716465709799047239387924364415015934388990875308560768806514910457252702039852556480153652288875020974167075183491288273600734779947363163395110713064956585971330450068663098344910675314527700078981991209182345466284401033774250757883806628476060902211659738731510578699865212539865210495070164541080899774351911063594660861384410002644055593121557173903741904664995678844950861044749005155528364716731726874121592100592478862630059541653291716404423310316357007399901460504952414839659696966337226849920859860022271656864198812849254288873292252556157471398330834005155603449339124970593991473674541473732386024340835003405043235016560082727193455832968754165432597369830176086701845487200954650595962836361804588634370738129106763276336891868850537999574257865448525070376506837435458251999952767209460841602025211088650716729349285825977635974798240631124810123925534796529361610036025354570752850588285657266381068471320132335537217371814516382129808809671071417930165912754050347853770398754847050920310760605260268643186590670942623265653617836688199012701124566686278538469215297712492699855094428681054547717872680255438427755989493277682914828756860063702786919993349783500290772632461218068671527695283182805865421001102901544355078623631754605707862939067627076510320866947094619551850993995187926467231780456942442127320433685090610374316877071853780441725253327848004148975623251323706850078881800710448003753649719279905746860089543072256880242981416291801061289166159056292455632449533192234920507343062795077487020022578919663877822626562358032747742183597099321345599650237603122056506650401796501243383489895414045738655650010456187627777397360393505913027614370392742656385758053062022314104857433341392717789826950218536466619863669662327206093159169443119318648990664095988639961056544018578292004595147695383322111380098464573624097055244412484409389593737031100920412642178966616459112089846914487750513114317727364333445613766195196447249112630041153090688480004196663233284588902016152489761301050914745207805926657172904622738128812142904797249065824562642627953605099466116499840817732511725683550704406777323056804960156777924053829915266476929548674064492438494700091483687616193349678347254760453606508145683}
30328  762577688591579430089039409092317566383531331634976193668360994387159882707894398031981: {151615,181938,424466,606380,727656,788138,818613,1151666,1333772,1785871,2060876,3182865,3395056,3756332,3789125,3819438,3955807,4054706,4416938,4546950,4850080,5036887,5456340,5756167,5820096,5909865,6225938,6303856,6417452,6547608,7000917,7027976,7091838,7191271,7366059,7728247,7906473,8085871,8334425,8391986,8443207,8591852,9473066,9513487,10001310,10040012,10395301,10668064,11631338,12000727,12001572,12210092,12834056,13415671,13425938,13655372,13768687,13784426,14438313,14649967,14850430,15177871,15340076,16542476,16932871,17457967,17820516,18788138,19551871,19664972,20212586,21214900,21989906,22447113,22500487,22699826,23021612,23536207,24385865,24397327,24472106,25415372,25457880,27155072,27311671,27328076,27653138,27653167,27686985,28044812,28640115,29263038,29532784,29877477,30205207,30307000,30404265,30549456,31173938,31656185,32066407,32431216,33224382,33292076,33473765,34095375,34368138,34422607,34836950,35568425,35835585,36368400,36485118,37336172,37490901,37573772,37764127,37930447,37987422,38172338,38224624,38262871,38792960,39589687,39653537,40168518,40914450,41241727,41804340,42682110,42954549,43002702,43036946,43542487,43642080,43729586,43974465,44591296,44632025,44767466,45527584,46551552,46906096,47524076,47650889,47777887,48403329,48586807,48909871,49097340,49232647,49394985,49792505,50165208,50280938,50761113,51002767,51218532,51644287,51996338,52370496,52687984,52769358,52949132,53558430,53721271,54596876,55067372,55074986,56085896,56102671,56405566,56435859,56647910,57121377,57128992,57681271,58122476,58592012,58916808,59252671,59273982,59751006,60382568,60858386,60899289,62109452,62545353,62927385,63096633,63244136,63780997,63837321,64270116,64387207,64695871,64749669,65252906,66281409,66541807,67021772,67122544,67272938,67307887,67884117,67930389,67955852,67977492,68261105,68332785,68986927,69612153,70387976,70808671,71132150,71149653,71454092,71564671,71586185,71673238,71866567,72152876,72634346,72850569,72888304,74667368,74869687,75512862,75633938,76107212,76509127,76806271,77103127,77500652,77547871,78428972,79025671,79186473,79467607,80579380,80639966,80666885,80814425,80937746,80979212,81063861,81827385,81905612,81913326,81959671,81999342,83044437,83575826,83737329,84000789,84141271,84233906,85298167,85358580,85548338,85876586,85903422,86830737,87282544,87311647,87914732,88027327,88204985,88837292,89528876,89778453,90130706,90305407,90426217,91049152,91115710,91394313,91719847,91760426,92705671,92982476,93127087,94132076,94398801,94527127,95009066,95196005,95294985,95333138,95559233,95657066,95986568,96613687,96695256,96800262,96977310,97117292,97274546,97403721,97581871,98170985,98192862,98546527,98565938,98862425,99440817,99855026,...,220649372993654239279051064998474153240165525898984976803233582448405435798261746071330392409184530368116740676920645055989700747786515175761244752212848716421027884929645993613415137545385530114362170144821164675255269468547505865829708196194537304651673093007145347714131687683874729046576410192359339513132428491785676934015491180929330641761785170925712167145032820418498460656482154440955950033837924128288060517278989797007344989269520627402149139220615244891748194150723292605911288666895395237723796809076762517930236164632141892178620543760257611682098313722204372842784867971974481371429478950166717367138049308232568952105777532946386483276978068963092255906624601455623557871379025595307739740244315608289787347358219907166446917371283938068188537352360151297072807512995225020722957739838831722888341476783175774257122989233302539819781483478143648739503429000098954309181230342204968076450936297099618291696245799412828708558774719625309186931335384640842558189169535666966736183290171988963549752473617856858032534373749385227284548670055055059275871998457848534565887440963477296964551118428998902517823532937740252760058942187871615380713241784442382691037249714551430801903474451422926728946312265857019231820390439260979812314893853988600179207844628008383131665917805946704112325767336861733137972152202450413468548069877705176475538965958758680136776979334670862663315493242103778336066028213864923332104832681687524356570094797653756045248718484694020302860100443926533970941313485061065653938535111332972007770624313029351100796419431491938466106063642539138830479414354929612984998751473744193685726870160217286501862903059415272996160595876879678569122127124030360303725497159154058820347541746863690694834891835161771962055266080642124225371546131765923011579397646633340097955578667608740270978644858623209243675191411025370626505797552418810453438977535613046044657522611874409247092260297523259279440580937318394363580292842261544386838828056910224807489819303796179727625702119044061947374224827560983481770788240390577930227559159613809236437398014362449127411517960710002180958764184112826366107861081287225604049259743557294811913219924210187518016657998590114398347178583618393354948035825955451229598471216693294319430901423479605038123680651143947499750230803791320041377492349350479036656991454816819745237493424769160656917404365099794764441720530177531306759044457726500072382238548539133583825534627372612671764605342686022419663337689356170609481996952503032798278308793884071661501142721518818989820989985098943951735432730599019934516223630351621954279732062985850565819220021245851987833744747691742019880609670269386470075306871536385166694632222766911321717698134313039929817551193480950753275447961773933424884131126547567086036933438642654945576460621712534711699001010511742171301414536282212984975347438266486950053153613993426886054774533032469214751459547815179213336858740790828742898538322539553327571793267814726332006874037819622308969165495456134123305150173412722204388955205897747088476009866535280673269886452879595955116302466561146480029695542485598417132339051831056336741543295197774445340207471265785499960791988631566055298309848032454446671206724313355413443636257941110625005553910129826440234782269127316267939534127950448482406118179160984172142351035115855825134050666099010487264700093835342449913944335999937022945947788802700281451534288972465714434636847966397654174833080165234046395372482146714700472761003800784380876355174757961760176447382956495752688509506411746228095223906887883672067130471693865006462734560414347473680358190915454227923497687538157115584265350268166088915038051292287063616656933140125904908072730290496907007251237007985991036910553105009146751603715893324466378000387696843281624091562036927044243741153894668137202059140104831509006140943817252090169435347094489262792826069134658660250568622975707275923256169760578246787480499089169429138373922300337770464005531967497668431609133438509067613930671671532959039874329146786057429675840323975221722401415052221545408389940843266044256313227343124083726769982693363438559551837096835416477376996989578129465761794132866983470829408675533869062001657844653193885394318207533347274916837036529813858007884036819160523656875181010737416029752139809911121856957053102600291381955493151559549769608124212225924159091531987552127984853281408725358104389339460196927177762815173464619431498796073659216645879186124982708134560550189571955488612149453129219317000684152423636485777927485021593595262998816840054870787584640005595550977712785202688203319681734734552993610407902209563872830317505082857206396332087766083523503938140132621488666454423643348967578067605875703097409073280209037232071773220355302572731565419323251326266788644916821591132904463006347271475344194244}
30329  764935158835455046386556717748014148850064721004955956740844422257974026234452458844800: {242584,272907,636699,757975,909570,970208,1091484,1182207,1667215,1727499,2000658,2576095,2970674,3091314,3667147,4243820,4695415,5092584,5515874,5634498,5729157,6062600,6082059,6149479,6625407,6820425,7275120,7760128,7879820,8021815,8184510,8730144,8784970,9057607,9334556,9338907,9455784,9626178,9784639,9821412,10541964,10637757,10739815,11229799,12550015,12587979,12887778,13335080,14209599,15001965,15060018,15262615,15328258,15650107,16002096,16042570,17069215,17447007,17509354,18002358,18315138,18494359,19175095,19251084,19638091,20138907,20483058,20676639,20678095,21098887,22126639,22275645,23010114,23579551,23760688,24581215,24813714,25457911,25758919,25841186,26518625,26730774,27211831,27263359,28182207,28377314,28777015,29497458,29929484,30318879,30343759,31298146,31769215,31822350,32709979,32984859,33446546,33842978,33943840,34049739,34160095,34532418,35056015,35558347,35977951,36500887,36708159,36878407,36915980,37883750,38123058,38186820,39017384,39836636,40539020,40732608,40992114,41042834,41234839,41479707,41615095,42067218,42194986,42561026,43499467,43894557,44299176,44368207,45460500,45482767,45727399,45824184,46101986,46670215,46760907,46967215,47780780,47981258,48491200,48646824,49075159,49446991,49836573,49938114,49987868,50649896,50912458,51552207,51742351,51872287,52088047,52255425,52834747,53558024,54552600,54727677,55338619,55739120,55966159,56004258,56360658,56909480,56981133,57258507,57272732,57336936,57397418,57695707,58189440,58274407,58632620,58732226,59343691,59405095,60002767,60252777,61371675,61402699,61589479,62068736,62706510,63777266,64023165,64504053,64537772,64555419,64832959,65333947,65463120,65594379,65859980,65930491,66186415,66886944,67151199,67213087,67681484,68246095,68291376,68834215,69414146,69827328,70107370,70128799,70359144,71286114,71411240,71550907,72653095,73240015,73646010,75084658,75137227,75247812,75421407,75478210,75703879,75794191,76161836,76372226,76827798,76993586,77134759,77423287,77636815,77974591,77994507,78555744,79031976,79055170,79154037,79423698,79668008,80337645,80654498,80905058,81199052,81895314,82601058,82612479,82832714,83393804,83777215,83808379,83903180,83988247,84128844,84608349,84896407,84944815,84961039,84971865,85116428,85385791,85693488,86332892,87183714,87888018,87984970,88375212,88638799,88792639,88910973,88941986,89317615,89570107,89626509,90191095,90198439,90512156,90573852,90636656,91110380,91287579,91694719,92654779,92816204,93164178,93334210,93890839,93962834,94546807,94866204,95062519,95134015,96405174,96471746,96875815,97134092,97879359,98036215,98820439,98922799,99060319,99458479,99677474,...,330974059490481358918576597497711229860248288848477465204850373672608153697392619106995588613776795552175111015380967583984551121679772763641867128319273074631541827394468990420122706318078295171543255217231747012882904202821258798744562294291805956977509639510718021571197531525812093569864615288539009269698642737678515401023236771393995962642677756388568250717549230627747690984723231661433925050756886192432090775918484695511017483904280941103223708830922867337622291226084938908866933000343092856585695213615143776895354246948212838267930815640386417523147470583306559264177301957961722057144218425250076050707073962348853428158666299419579724915467103444638383859936902183435336807068538392961609610366473412434681021037329860749670376056925907102282806028540226945609211269492837531084436609758247584332512215174763661385684483849953809729672225217215473109255143500148431463771845513307452114676404445649427437544368699119243062838162079437963780397003076961263837283754303500450104274935257983445324628710426785287048801560624077840926823005082582588913807997686772801848831161445215945446826677643498353776735299406610379140088413281807423071069862676663574036555874571827146202855211677134390093419468398785528847730585658891469718472340780982900268811766942012574697498876708920056168488651005292599706958228303675620202822104816557764713308448938138020205165469002006293994973239863155667504099042320797384998157249022531286534855142196480634067873077727041030454290150665889800956411970227591598480907802666999458011655936469544026651194629147237907699159095463808708245719121532394419477498127210616290528590305240325929752794354589122909494240893815319517853683190686045540455588245738731088230521312620295536042252337752742657943082899120963186338057319197648884517369096469950010146933368001413110406467967287934813865512787116538055939758696328628215680158466303419569066986283917811613870638390446284888919160871405977591545370439263392316580258242085365337211234728955694269591438553178566092921061337241341475222656182360585866895341338739420713854656097021543673691117276941065003271438146276169239549161791621930838406073889615335942217869829886315281277024986997885171597520767875427590032422053738933176844397706825039941479146352135219407557185520976715921249625346205686980062066238524025718554985487182225229617856240137153740985376106547649692146662580795266296960138566686589750108573357822808700375738301941058919007646908014029033629495006534034255914222995428754549197417463190826107492251714082278228484731484977648415927603149095898529901774335445527432931419598094478775848728830031868777981750617121537613029820914505404079705112960307304577750041948334150366982576547201469559894726326790221426129913171942660900137326196689821350629055400157963982418364690932568802067548501515767613256952121804423319477463021157399730425079730420990140329082161799548703822127189321722768820005288111186243114347807483809329991357689901722089498010311056729433463453748243184201184957725260119083306583432808846620632714014799802921009904829679319393932674453699841719720044543313728397625698508577746584505112314942796661668010311206898678249941187982947349082947464772048681670006810086470033120165454386911665937508330865194739660352173403690974401909301191925672723609177268741476258213526552673783737701075999148515730897050140753013674870916503999905534418921683204050422177301433458698571651955271949596481262249620247851069593058723220072050709141505701176571314532762136942640264671074434743629032764259617619342142835860331825508100695707540797509694101840621521210520537286373181341885246531307235673376398025402249133372557076938430595424985399710188857362109095435745360510876855511978986555365829657513720127405573839986699567000581545264922436137343055390566365611730842002205803088710157247263509211415725878135254153020641733894189239103701987990375852934463560913884884254640867370181220748633754143707560883450506655696008297951246502647413700157763601420896007507299438559811493720179086144513760485962832583602122578332318112584911264899066384469841014686125590154974040045157839327755645253124716065495484367194198642691199300475206244113013300803593002486766979790828091477311300020912375255554794720787011826055228740785485312771516106124044628209714866682785435579653900437072933239727339324654412186318338886238637297981328191977279922113088037156584009190295390766644222760196929147248194110488824968818779187474062201840825284357933232918224179693828975501026228635454728666891227532390392894498225260082306181376960008393326466569177804032304979522602101829490415611853314345809245476257624285809594498131649125285255907210198932232999681635465023451367101408813554646113609920313555848107659830532953859097348128984876989400182967375232386699356694509520907213016291366}
30330  767299874818161783155628007241893751030543429525181340986634948768542975014272306739787: {212261,303230,333509,363876,515321,697061,848932,1120841,1212760,1364355,1455312,1576276,1637226,1785989,1846409,2148389,2303332,2667544,2691449,3000987,3233861,3571742,3835781,4121752,4456011,4496969,4636971,5304775,5756549,5816441,5936201,6355109,6365730,6790112,6833381,7012601,7191749,7251449,7512664,7578250,7638876,7911614,8109412,8145989,8273811,8451747,8503301,8833876,9093900,9514121,9700160,9849775,10073774,10404101,10912680,11469701,11512334,11640192,11668195,11819730,12237689,12276765,12451876,12607712,12834904,13095216,13177455,13416569,13651961,13828421,13946021,14001834,14055952,14183676,14298629,14382542,14439267,14732118,15456494,15812946,16115849,16171742,16668850,16783972,16886414,16934009,16992389,17167481,17183704,18041861,18216521,18946132,19026974,19204901,19331667,19553189,19611209,20002620,20080024,20769929,20790602,21290309,21336128,21983141,22386761,22502009,22590027,22992387,23262676,24001454,24003144,24063855,24420184,24456329,25258361,25668112,25830281,26115941,26264031,26686661,26831342,26851876,27003537,27028709,27310744,27313529,27472707,27537374,27568852,27655049,27825701,28394021,28848101,28876626,29074949,29245001,29299934,29700860,29867909,30263801,30355742,30680152,30724587,31054409,31787141,32406089,32799461,32967929,33084952,33585029,33865742,33921221,34140211,34515171,34760441,34915934,34983929,35641032,35765129,37220571,37411855,37576276,37655801,37822181,37933061,38320889,38761779,39103742,39329944,39978569,40096161,40425172,40749689,41299529,41903429,42122789,42429800,42451589,42565971,42889541,43053641,43873061,43979812,44246187,44318659,44853989,44894226,45000974,45180389,45397829,45399652,45995129,46043224,46144975,46157861,46483109,46699781,46863271,46947219,47072414,47733525,47781221,47835209,48644069,48771730,48794654,48913289,48944212,49289861,49558601,49795795,50169819,50256389,50673775,50764467,50830744,50899301,50915760,51059849,51798627,52181669,53140421,54043529,54310144,54623342,54656152,55306276,55306334,55373970,56089624,56106629,56314687,56825625,56949509,57184587,57280230,58052681,58526076,59065568,59570309,59725975,59754954,60039929,60410414,60614000,60808530,61098912,61341029,61488171,61564251,62067461,62347876,62430089,62484835,62999141,63100827,63292479,63312370,63773561,63841539,64132814,64751909,64862432,65317001,65676101,66444281,66448764,66584152,66597701,66751049,66947530,67312709,67975241,68190750,68229701,68736276,68845214,69152979,69650981,69673900,69709507,70106489,70359269,70561349,70864229,71015561,71136850,71569829,71590915,71671170,71871749,71922041,71971887,72736800,72926201,72970236,73290775,73527161,74027081,74176901,74576069,74672344,74907171,74924921,74981802,75074309,75147544,75528254,75820169,75860894,75974844,76344676,76368687,76449248,76525742,76811849,76861349,77108729,77158181,77585920,78145541,78342629,79179374,79307074,79620581,80337036,80672215,81088421,81234809,81828900,82014329,82324975,82483454,83179769,83608680,84006387,84147449,84540987,84601855,84871109,85364220,85909098,86005404,86073892,86096127,86504741,86887781,87084974,87284160,87318089,87459172,87948930,88081481,88098339,88176761,88509989,89175269,89182592,89264050,89507321,89534932,89649509,90217541,90878789,91055168,92712569,93103104,93134021,93180809,93694949,93812192,94059765,94301321,94580729,94999301,95048152,95202295,95301778,95555774,95556389,95565547,95665899,96066041,96389861,96528521,96620921,96806658,96944069,97082441,97173614,97220741,97819742,98194680,98462201,98465294,98789970,99286601,99423749,99585010,...,496461089235722038377864896246566844790372433272716197807275560508912230546088928660493382920665193328262666523071451375976826682519659145462800692478909611947312741091703485630184059477117442757314882825847620519324356304231888198116843441437708935466264459266077032356796297288718140354796922932808513904547964106517773101534855157090993943964016634582852376076323845941621536477084847492150887576135329288648136163877727043266526225856421411654835563246384301006433436839127408363300399500514639284878542820422715665343031370422319257401896223460579626284721205874959838896265952936942583085716327637875114076060610943523280142237999449129369587373200655166957575789905353275153005210602807589442414415549710118652021531555994791124505564085388860653424209042810340418413816904239256296626654914637371376498768322762145492078526725774930714594508337825823209663882715250222647195657768269961178172014606668474141156316553048678864594257243119156945670595504615441895755925631455250675156412402886975167986943065640177930573202340936116761390234507623873883370711996530159202773246742167823918170240016465247530665102949109915568710132619922711134606604794014995361054833811857740719304282817515701585140129202598178293271595878488337204577708511171474350403217650413018862046248315063380084252732976507938899560437342455513430304233157224836647069962673407207030307748203503009440992459859794733501256148563481196077497235873533796929802282713294720951101809616590561545681435225998834701434617955341387397721361704000499187017483904704316039976791943720856861548738643195713062368578682298591629216247190815924435792885457860488894629191531883684364241361340722979276780524786029068310683382368608096632345781968930443304063378506629113986914624348681444779507085978796473326776053644704925015220400052002119665609701950931902220798269180674807083909638044492942323520237699455129353600479425876717420805957585669427333378741307108966387318055658895088474870387363128048005816852093433541404387157829767849139381592005862012212833984273540878800343012008109131070781984145532315510536675915411597504907157219414253859323742687432896257609110834423003913326804744829472921915537480496827757396281151813141385048633080608399765266596560237559912218719528202829111335778281465073881874438019308530470093099357786038577832478230773337844426784360205730611478064159821474538219993871192899445440207850029884625162860036734213050563607452911588378511470362021043550444242509801051383871334493143131823796126194786239161238377571123417342727097227466472623891404723643847794852661503168291149397129397141718163773093245047803166972625925682306419544731371758106119557669440460956866625062922501225550473864820802204339842089490185332139194869757913991350205989295034732025943583100236945973627547036398853203101322752273651419885428182706634979216194531736099595637619595631485210493623242699323055733190783982584153230007932166779364671521711225713994987036534852583134247015466585094150195180622364776301777436587890178624959875149213269930949071022199704381514857244518979090899011680549762579580066814970592596438547762866619876757668472414194992502015466810348017374911781974421023624421197158073022505010215129705049680248181580367498906262496297792109490528260105536461602863951787888509085413765903112214387320289829010675606551613998722773596345575211129520512306374755999858301628382524806075633265952150188047857477932907924394721893374430371776604389588084830108076063712258551764856971799143205413960397006611652115443549146389426429013214253790497738262151043561311196264541152760932281815780805929559772012827869796960853510064597038103373700058835615407645893137478099565283286043163643153618040766315283267968479833048744486270580191108360759980049350500872317897383654206014583085849548417596263003308704633065235870895263817123588817202881229530962600841283858655552981985563779401695341370827326381961301055271831122950631215561341325175759983544012446926869753971120550236645402131344011260949157839717240580268629216770640728944248875403183867498477168877366897348599576704761522029188385232461060067736758991633467879687074098243226550791297964036798950712809366169519951205389503730150469686242137215966950031368562883332192081180517739082843111178227969157274159186066942314572300024178153369480850655609399859591008986981618279477508329357955946971992287965919883169632055734876013785443086149966334140295393720872291165733237453228168781211093302761237926536899849377336269540743463251539342953182093000336841298585589341747337890123459272065440012589989699853766706048457469283903152744235623417779971518713868214386436428714391747197473687927883860815298398349499522453197535177050652113220331969170414880470333772161489745799430788646022193477315484100274451062848580049035041764281360819524437049}
30331  769671858680404088970330996039607758234210268507825439133434622908181061418378563002083: {454845,485168,545814,1061165,1273398,1515950,1819140,1940416,1970345,2182968,2334101,2364414,2455839,2879165,3334430,3454998,3606533,4001316,4333901,5152190,5357613,5941348,6182628,6573581,7334294,8487640,9390830,9548595,10136765,10185168,10935773,11031748,11042345,11230541,11268996,11367375,11458314,11867421,12125200,12164118,12298958,13250814,13640850,14550240,15035741,15110661,15520256,15564845,15759640,16043630,16369020,17268501,17460288,17569940,17570021,17729595,18115214,18495581,18669112,18677814,18911568,19252356,19569278,19642824,20303789,20979965,21002751,21083928,21275514,21367661,21479630,21573813,22098177,22128101,22296461,22459598,23184741,23208653,23581109,23682665,23719419,23896901,24257613,24729773,25003275,25100030,25175958,25329621,25760621,25775556,26279429,26670160,26845133,27213629,28419198,28540461,28949333,29078345,29088509,30003930,30120036,30470813,30525230,30656516,31185903,31300214,31372361,32004192,32085140,32247941,33564845,33913613,34138430,34413701,34461065,34894014,35018708,36002181,36004716,36222989,36630276,36988718,37126075,37529081,37732973,38350190,38459189,38502168,39276182,40247013,40277814,40287821,40795109,40966116,41306061,41353278,41356190,42023501,42197774,43314939,43949901,44078621,44253278,44476901,44551290,45533613,45893801,46020228,46146749,46601381,46970345,47159102,47521376,47824133,49078421,49162430,49627428,50110709,50531465,50798613,50915822,51107093,51408461,51517838,51682372,52373901,52899461,53037250,53461548,53496329,53752361,54423662,54526718,54974765,55310789,56364414,56749565,56754628,57554030,57974909,58261133,58437353,58655613,58994916,59302601,59858968,60006749,60637758,60687518,61117061,61180265,61558601,62550413,62596292,63538430,63644700,65173733,65338301,65419958,65754101,65969718,66893092,67341339,67400741,67501461,67685956,67887680,68099478,68320190,69064836,69132845,69240893,69882989,70112030,70133453,70608621,70912361,71116694,71955902,73001774,73157595,73191981,73416318,73756814,73827941,73831960,75120509,75767500,75799229,76246116,76373640,77917853,77934845,78034768,79395821,79673272,81078040,81465216,81935013,81984228,82085668,82469678,82959414,82959501,83022581,83060955,83167133,83230190,83352149,84134436,84389972,85122052,85920345,86531909,86649341,86998934,87092375,87789114,88158701,88598352,88736414,88798541,89574953,89632431,90615621,90820421,90921000,90965534,91212795,91454798,91648368,92203972,92660981,92719241,92777981,93340430,93521814,93934430,94968555,95430845,95544533,95561560,95962516,96199221,96367901,96419021,96450293,96982400,97293648,97853429,98150318,98893982,99066893,99673146,99876228,99975736,...,661948118980962717837153194995422459720496577696954930409700747345216307394785238213991177227553591104350222030761935167969102243359545527283734256638546149263083654788937980840245412636156590343086510434463494025765808405642517597489124588583611913955019279021436043142395063051624187139729230577078018539397285475357030802046473542787991925285355512777136501435098461255495381969446463322867850101513772384864181551836969391022034967808561882206447417661845734675244582452169877817733866000686185713171390427230287553790708493896425676535861631280772835046294941166613118528354603915923444114288436850500152101414147924697706856317332598839159449830934206889276767719873804366870673614137076785923219220732946824869362042074659721499340752113851814204565612057080453891218422538985675062168873219516495168665024430349527322771368967699907619459344450434430946218510287000296862927543691026614904229352808891298854875088737398238486125676324158875927560794006153922527674567508607000900208549870515966890649257420853570574097603121248155681853646010165165177827615995373545603697662322890431890893653355286996707553470598813220758280176826563614846142139725353327148073111749143654292405710423354268780186838936797571057695461171317782939436944681561965800537623533884025149394997753417840112336977302010585199413916456607351240405644209633115529426616897876276040410330938004012587989946479726311335008198084641594769996314498045062573069710284392961268135746155454082060908580301331779601912823940455183196961815605333998916023311872939088053302389258294475815398318190927617416491438243064788838954996254421232581057180610480651859505588709178245818988481787630639035707366381372091080911176491477462176461042625240591072084504675505485315886165798241926372676114638395297769034738192939900020293866736002826220812935934575869627731025574233076111879517392657256431360316932606839138133972567835623227741276780892569777838321742811955183090740878526784633160516484170730674422469457911388539182877106357132185842122674482682950445312364721171733790682677478841427709312194043087347382234553882130006542876292552338479098323583243861676812147779230671884435739659772630562554049973995770343195041535750855180064844107477866353688795413650079882958292704270438815114371041953431842499250692411373960124132477048051437109970974364450459235712480274307481970752213095299384293325161590532593920277133373179500217146715645617400751476603882117838015293816028058067258990013068068511828445990857509098394834926381652214984503428164556456969462969955296831855206298191797059803548670891054865862839196188957551697457660063737555963501234243075226059641829010808159410225920614609155500083896668300733965153094402939119789452653580442852259826343885321800274652393379642701258110800315927964836729381865137604135097003031535226513904243608846638954926042314799460850159460841980280658164323599097407644254378643445537640010576222372486228695614967618659982715379803444178996020622113458866926907496486368402369915450520238166613166865617693241265428029599605842019809659358638787865348907399683439440089086627456795251397017155493169010224629885593323336020622413797356499882375965894698165894929544097363340013620172940066240330908773823331875016661730389479320704346807381948803818602383851345447218354537482952516427053105347567475402151998297031461794100281506027349741833007999811068837843366408100844354602866917397143303910543899192962524499240495702139186117446440144101418283011402353142629065524273885280529342148869487258065528519235238684285671720663651016201391415081595019388203681243042421041074572746362683770493062614471346752796050804498266745114153876861190849970799420377714724218190871490721021753711023957973110731659315027440254811147679973399134001163090529844872274686110781132731223461684004411606177420314494527018422831451756270508306041283467788378478207403975980751705868927121827769768509281734740362441497267508287415121766901013311392016595902493005294827400315527202841792015014598877119622987440358172289027520971925665167204245156664636225169822529798132768939682029372251180309948080090315678655511290506249432130990968734388397285382398600950412488226026601607186004973533959581656182954622600041824750511109589441574023652110457481570970625543032212248089256419429733365570871159307800874145866479454678649308824372636677772477274595962656383954559844226176074313168018380590781533288445520393858294496388220977649937637558374948124403681650568715866465836448359387657951002052457270909457333782455064780785788996450520164612362753920016786652933138355608064609959045204203658980831223706628691618490952515248571619188996263298250570511814420397864465999363270930046902734202817627109292227219840627111696215319661065907718194696257969753978800365934750464773398713389019041814426032582732}
30332  772051132630148530220269405531514084585315512398368905394990907971982318547058489327238: {394147,424522,575947,606460,667018,727752,818721,1030642,1394122,1697864,1846531,1910097,2208907,2241682,2273925,2389987,2425520,2728710,2910624,3152552,3274452,3294307,3546621,3571978,3692818,4296778,4557331,4606664,4917547,5001645,5182497,5335088,5382898,5816827,5996467,6001974,6467722,6714307,6893587,7143484,7251931,7426685,7671562,7728285,8243504,8912022,8993938,9273942,10464067,10609550,11001441,11174707,11513098,11632882,11872402,12710218,12731460,13580224,13666762,13789685,14025202,14086245,14383498,14502898,14886667,15025328,15156500,15277752,15823228,16218824,16291978,16335473,16547622,16903494,16993531,17006602,17187471,17667752,18187800,18246177,18448437,19028242,19400320,19612531,19699550,19876221,20147548,20461275,20481931,20808202,21696067,21825360,21962425,22215331,22939402,23024668,23280384,23336390,23639460,24065445,24475378,24553530,24903752,25215424,25317307,25669808,26190432,26354910,26833138,27172821,27303922,27656842,27892042,28003668,28016721,28111904,28367352,28597258,28765084,28878534,29353917,29464236,29926531,30912988,31112947,31625892,31913271,32219445,32231698,32343484,32801707,33337700,33567944,33643387,33689397,33772828,33868018,33984778,34334962,34367408,34986331,35823331,36083722,36433042,37650045,37763937,37892264,38053948,38320645,38409802,38663334,39106378,39222418,40005240,40106425,40160048,40477267,41137507,41539858,41581204,41961187,42580618,42628797,42672256,42947227,43773385,43966282,44421427,44773522,45004018,45005895,45180054,45400987,45787845,45984774,46215307,46525352,46540531,46950321,47676547,47838547,48002908,48006288,48127710,48840368,48912658,49776931,50098987,50259907,50516722,50902867,51207645,51336224,51660562,52231882,52341021,52376597,52528062,53373322,53662684,53703752,54007074,54057418,54621488,54627058,54945414,55074748,55137704,55310098,55483077,55651402,56788042,57525285,57696202,57753252,58056787,58149898,58490002,58599868,58914273,59401720,59626747,59735818,60096331,60416721,60527602,60711484,61360304,61449174,62029917,62034285,62108818,62312701,62434531,63210331,63296661,63574282,63984331,64602965,64812178,65598922,65935858,66169904,66295531,66379917,66553721,66755827,66826935,67170058,67731484,67842442,68280422,69030342,69520882,69714113,69831868,69967858,70566427,70738653,70943285,71282064,71530258,71927227,73582507,73743645,74441142,74823710,75152552,75311602,75644362,75825667,75866122,76373733,76641778,76866931,77163787,77276757,77523558,78207484,78245365,78348331,78659888,79555875,79957138,80192322,80850344,81289531,81499378,81635493,81790077,82599058,83185867,83476531,83616365,83806858,83911987,84245578,84546621,84607445,84859600,84903178,84925531,85131942,85779082,86107282,86331045,87478769,87515587,87746122,87959624,88230907,88492374,88516531,88637318,89229331,89707978,89788452,90001948,90360778,90795658,90799304,90932707,90956637,91031277,91990258,92086448,92289950,92315722,92966218,93187747,93399562,93726542,93888667,93894438,94144828,94168531,94709375,95307645,95467050,95562442,95670418,96951331,97288138,97543460,97589308,97826578,97888424,98129937,98331931,98579722,98954577,99117202,99591590,...,992922178471444076755729792493133689580744866545432395614551121017824461092177857320986765841330386656525333046142902751953653365039318290925601384957819223894625482183406971260368118954234885514629765651695241038648712608463776396233686882875417870932528918532154064713592594577436280709593845865617027809095928213035546203069710314181987887928033269165704752152647691883243072954169694984301775152270658577296272327755454086533052451712842823309671126492768602012866873678254816726600799001029278569757085640845431330686062740844638514803792446921159252569442411749919677792531905873885166171432655275750228152121221887046560284475998898258739174746401310333915151579810706550306010421205615178884828831099420237304043063111989582249011128170777721306848418085620680836827633808478512593253309829274742752997536645524290984157053451549861429189016675651646419327765430500445294391315536539922356344029213336948282312633106097357729188514486238313891341191009230883791511851262910501350312824805773950335973886131280355861146404681872233522780469015247747766741423993060318405546493484335647836340480032930495061330205898219831137420265239845422269213209588029990722109667623715481438608565635031403170280258405196356586543191756976674409155417022342948700806435300826037724092496630126760168505465953015877799120874684911026860608466314449673294139925346814414060615496407006018881984919719589467002512297126962392154994471747067593859604565426589441902203619233181123091362870451997669402869235910682774795442723408000998374034967809408632079953583887441713723097477286391426124737157364597183258432494381631848871585770915720977789258383063767368728482722681445958553561049572058136621366764737216193264691563937860886608126757013258227973829248697362889559014171957592946653552107289409850030440800104004239331219403901863804441596538361349614167819276088985884647040475398910258707200958851753434841611915171338854666757482614217932774636111317790176949740774726256096011633704186867082808774315659535698278763184011724024425667968547081757600686024016218262141563968291064631021073351830823195009814314438828507718647485374865792515218221668846007826653609489658945843831074960993655514792562303626282770097266161216799530533193120475119824437439056405658222671556562930147763748876038617060940186198715572077155664956461546675688853568720411461222956128319642949076439987742385798890880415700059769250325720073468426101127214905823176757022940724042087100888485019602102767742668986286263647592252389572478322476755142246834685454194454932945247782809447287695589705323006336582298794258794283436327546186490095606333945251851364612839089462743516212239115338880921913733250125845002451100947729641604408679684178980370664278389739515827982700411978590069464051887166200473891947255094072797706406202645504547302839770856365413269958432389063472199191275239191262970420987246485398646111466381567965168306460015864333558729343043422451427989974073069705166268494030933170188300390361244729552603554873175780357249919750298426539861898142044399408763029714489037958181798023361099525159160133629941185192877095525733239753515336944828389985004030933620696034749823563948842047248842394316146045010020430259410099360496363160734997812524992595584218981056520211072923205727903575777018170827531806224428774640579658021351213103227997445547192691150422259041024612749511999716603256765049612151266531904300376095714955865815848789443786748860743553208779176169660216152127424517103529713943598286410827920794013223304230887098292778852858026428507580995476524302087122622392529082305521864563631561611859119544025655739593921707020129194076206747400117671230815291786274956199130566572086327286307236081532630566535936959666097488972541160382216721519960098701001744635794767308412029166171699096835192526006617409266130471741790527634247177634405762459061925201682567717311105963971127558803390682741654652763922602110543662245901262431122682650351519967088024893853739507942241100473290804262688022521898315679434481160537258433541281457888497750806367734996954337754733794697199153409523044058376770464922120135473517983266935759374148196486453101582595928073597901425618732339039902410779007460300939372484274431933900062737125766664384162361035478165686222356455938314548318372133884629144600048356306738961701311218799719182017973963236558955016658715911893943984575931839766339264111469752027570886172299932668280590787441744582331466474906456337562422186605522475853073799698754672539081486926503078685906364186000673682597171178683494675780246918544130880025179979399707533412096914938567806305488471246835559943037427736428772872857428783494394947375855767721630596796698999044906395070354101304226440663938340829760940667544322979491598861577292044386954630968200548902125697160098070083528562721639048874098}
30333  774437718942826941704897458087722977405249867293441256419852700912108755223940015671141: {636783,758075,909690,970336,1000527,1091628,1485631,1545963,2091183,2122330,2546796,2758483,3031900,3362523,3638280,3880832,3940690,4030831,4093065,4365936,4668202,4728828,4911678,5121883,5357967,5539227,5758330,6445167,6668860,6909996,7213066,8002632,8074347,8667802,8929355,9002961,9663467,9701583,10304380,10715226,11507343,11844563,11882696,12365256,13147162,13368033,13490907,13910913,14191471,14668588,15459283,15914325,16975280,17269647,17449323,17646827,17808603,18781660,18945625,19065327,19097190,19779035,20273530,20370336,20500143,21037803,21575247,21754347,21790783,21871546,22063496,22084690,22461082,22537992,22734750,22916628,23734842,23995387,24184931,24250400,24328236,24437967,24597916,24731407,24821433,25184435,25355241,25509903,26350363,26501628,27281700,28542363,28543667,28780835,29090431,29100480,29371951,29549325,30071482,30221322,31040512,31057507,31129690,31212303,31519280,32087260,32738040,33155731,34409103,34537002,34920576,35004585,35063227,35139880,35140042,35459190,35956355,36230428,36713067,36830295,36991162,37338224,37355628,37823136,38111203,38504712,38641235,39138556,39285648,39532365,40249707,40335247,40429355,40607578,40709683,40955883,41424571,41485263,41672125,41838063,41944267,41959930,42005502,42167856,42216035,42551028,42735322,42808987,42895887,42959260,43147626,43317801,44196354,44256202,44592922,44919196,46369482,46417306,46990783,47162218,47365330,47438838,47567435,47793802,48132523,48245491,48347547,48515226,49459546,50006550,50200060,50351916,50659242,50802027,50977167,51502443,51521242,51551112,51976505,52558858,53340320,53690266,54125583,54427258,54537067,54649563,56838396,57080922,57185731,57614703,57898666,57995001,58019963,58156690,58177018,58659567,58833627,59122927,59221747,60003635,60007860,60240072,60941626,61050460,61313032,62309787,62371806,62600428,62744722,63870927,64008384,64170280,64495882,65758483,65949423,67078355,67129690,67160283,67506027,67770081,67827226,68276860,68827402,68843435,68922130,68977161,69788028,70037416,70744051,70917067,72004362,72009432,72191565,72445978,72841231,73249835,73260552,73368987,73977436,74016127,74252150,74329583,75058162,75465946,75775083,75889355,76700380,76918378,76964671,77004336,77118107,77490843,78347823,78482003,78552364,78792093,79449391,80059983,80494026,80555628,80575642,81010611,81086127,81590218,81632323,81932232,81940587,82418121,82588987,82612122,82706556,82712380,82965147,83026031,83477103,84047002,84395548,84664355,85182063,85652371,86544303,86629878,86960687,87072463,87224847,87251203,87289835,87735003,87899802,88157242,88464587,88506556,88953802,89102580,89580907,89603727,90791403,91067226,91706891,91787602,92040456,92173761,92293498,93163227,93202762,93701291,93940690,94318204,95042752,95361423,95648266,96783467,96785983,97218267,97759355,98156842,98324860,98398383,98903787,99254856,...,1489383267707166115133594688739700534371117299818148593421826681526736691638266785981480148761995579984787999569214354127930480047558977436388402077436728835841938223275110456890552178431352328271944648477542861557973068912695664594350530324313126806398793377798231097070388891866154421064390768798425541713643892319553319304604565471272981831892049903748557128228971537824864609431254542476452662728405987865944408491633181129799578677569264234964506689739152903019300310517382225089901198501543917854635628461268146996029094111266957772205688670381738878854163617624879516688797858810827749257148982913625342228181832830569840426713998347388108762119601965500872727369716059825459015631808422768327243246649130355956064594667984373373516692256166581960272627128431021255241450712717768889879964743912114129496304968286436476235580177324792143783525013477469628991648145750667941586973304809883534516043820005422423468949659146036593782771729357470837011786513846325687267776894365752025469237208660925503960829196920533791719607022808350284170703522871621650112135989590477608319740226503471754510720049395742591995308847329746706130397859768133403819814382044986083164501435573222157912848452547104755420387607794534879814787635465011613733125533514423051209652951239056586138744945190140252758198929523816698681312027366540290912699471674509941209888020221621090923244610509028322977379579384200503768445690443588232491707620601390789406848139884162853305428849771684637044305677996504104303853866024162193164085112001497561052451714112948119930375831162570584646215929587139187105736046895774887648741572447773307378656373581466683887574595651053092724084022168937830341574358087204932050147105824289897037345906791329912190135519887341960743873046044334338521257936389419980328160934114775045661200156006358996829105852795706662394807542024421251728914133478826970560713098365388060801438277630152262417872757008282000136223921326899161954166976685265424611162089384144017450556280300624213161473489303547418144776017586036638501952820622636401029036024327393212345952436596946531610027746234792514721471658242761577971228062298688772827332503269011739980414234488418765746612441490483272188843455439424155145899241825199295799789680712679736656158584608487334007334844395221645623314057925591410279298073358115733497434692320013533280353080617191834434192479464423614659981613578698336320623550089653875488580110202639151690822358734765135534411086063130651332727529403154151614003479429395471388378584358717483715132713370252028181291682399417871674214170931543384557984509504873448191388191425154491319279735143409500917877777046919258634194115274318358673008321382870599875188767503676651421594462406613019526268470555996417584609273741974050617967885104196077830749300710837920882641109196559609303968256820954259656284548119904937648583595208298786912858786894455631480869728097969167199572351947752459690023796500338094014565133677141984961109604557749402741046399755282450585541867094328905332309763670535874879625447639809792847213066599113144544571733556937272697035041649287738740200444911777789315643288599859630273005417242584977506046400431044052124735345923263070873263591474219067515030645389115149040744544741102496718787488893376328471584780316609384808591855363665527256241297709336643161960869487032026819654841996168320789036725633388561536919124267999574904885147574418226899797856450564143572433798723773184165680123291115329813168764254490324228191136775655294570915397429616241881191019834956346330647439168279287039642761371493214786453130683933588793623458282796845447342417788679316038483609390882560530193791114310121100176506846222937679412434298695849858129490929460854122298945849803905439499146233458811740573325082279940148051502616953692150962618043749257548645252788789009926113899195707612685791451370766451608643688592887802523851575966658945956691338205086024112481979145883903165815493368851893646684023975527279950632037340780609261913361650709936206394032033782847473519151721740805887650311922186832746626209551602495431506632100692045798730114284566087565155697383180203210276974900403639061222294729679652373893892110396852138428098508559853616168511190451409058726411647900850094105688649996576243541553217248529333534683907471822477558200826943716900072534460108442551966828199578773026960944854838432524988073867840915976863897759649508896167204628041356329258449899002420886181162616873497199712359684506343633279908283713779610699548132008808622230389754618028859546279001010523895756768025242013670370377816196320037769969099561300118145372407851709458232706870253339914556141604643159309286143175241592421063783651582445895195048498567359592605531151956339660995907511244641411001316484469237398292365938066580431946452300823353188545740147105125292844082458573311147}
30334  776831639961540187231304786556843512394280881206592306656527474418125514481796908182917: {333553,788294,849044,1151894,1212920,1242013,1334036,1364535,1455504,1637442,2061284,2788244,3183495,3395728,3693062,3789875,3820194,3956593,4136989,4417814,4483364,4547850,4779974,4851040,5217853,5457420,5821248,5911035,5936989,6305104,6548904,6588614,7002303,7093242,7143956,7367517,7385636,7908673,8336075,8593556,8637495,9114662,9213328,9835094,10003290,10364994,10397359,10670176,10765796,10819599,11633654,11992934,12003948,12880475,12935444,13001703,13428614,13771453,13787174,13947889,14286968,14503862,14853370,15343124,15456570,16072839,16487008,17636413,17824044,17987876,18335389,18335735,18547884,19305559,19720743,20772733,20928134,21219100,22002882,22349414,22505053,23026196,23265764,23477075,23540989,23744804,25420436,25462920,25948093,26804353,27160448,27333524,27579370,27829489,28050404,28172490,28511473,28645785,28766996,29005796,29773334,30050656,30211393,30313000,30410295,30555504,30747395,31646456,31904113,32241793,32437648,32583956,32670946,32807319,33095244,33127035,33691623,33806988,33987062,34013204,34102125,34374942,34429693,34597489,35335504,35602263,36375600,36492354,36896874,37771933,37938289,38056484,38800640,39225062,39399100,39752442,39763453,40109075,40295096,40922550,40963862,41415133,41616404,43392134,43650720,43924850,44430662,45107223,45288035,45331983,45512833,45878804,46049336,46560768,46672780,46694535,46976989,47278920,48130890,48923195,48950756,49107060,49807504,50430848,50634614,51013489,51339616,51805503,52380864,52709820,52710063,53188785,53254273,53648903,53666276,53699075,54051133,54345642,54607844,54846193,55313684,55486743,55784084,56007336,56033442,56148995,56223808,56734704,57194516,57378289,57530168,57757068,58707834,58928472,59853062,60673693,60911367,61282739,61825976,62225894,62750075,62852989,62939895,63008253,63251784,63826542,64102983,64438890,64463396,64686968,64721439,65326333,65603414,65788033,66294531,66384303,66556093,66675400,66862813,66889383,67135888,67286774,67378794,67475389,67545656,67736036,67969556,68086813,68669924,68734816,69554223,69625959,69643607,69972662,70369393,70672513,70743327,71047995,71158257,71646662,71690703,71882113,72167444,72772839,72866084,72936733,73642283,74189319,74287489,75009825,75300090,75527874,75784528,75930493,75988863,76107896,76313075,76641290,76819604,77281863,77326668,78212756,78250535,78444836,78838287,79484989,79632193,80010480,80212850,80220289,80320096,80535399,80954534,81640887,82275014,83079716,83162408,83922374,85161236,85257594,85316989,85344512,85346075,85621383,85894454,86613313,86847999,87235035,87265527,87546770,87932564,88189789,88842854,89547044,89757553,90008036,90011790,90325489,90360108,90444151,90801974,91412439,91575690,91740289,91881373,91969548,92430614,92471795,93050704,93081062,93557709,93900642,94117083,94687933,95245789,95353094,95677094,95875475,96005816,96012576,96255420,96635389,96743823,96773953,97680736,97825316,98190455,98568733,99320599,99553862,99941053,...,1985844356942888153511459584986267379161489733090864791229102242035648922184355714641973531682660773313050666092285805503907306730078636581851202769915638447789250964366813942520736237908469771029259531303390482077297425216927552792467373765750835741865057837064308129427185189154872561419187691731234055618191856426071092406139420628363975775856066538331409504305295383766486145908339389968603550304541317154592544655510908173066104903425685646619342252985537204025733747356509633453201598002058557139514171281690862661372125481689277029607584893842318505138884823499839355585063811747770332342865310551500456304242443774093120568951997796517478349492802620667830303159621413100612020842411230357769657662198840474608086126223979164498022256341555442613696836171241361673655267616957025186506619658549485505995073291048581968314106903099722858378033351303292838655530861000890588782631073079844712688058426673896564625266212194715458377028972476627782682382018461767583023702525821002700625649611547900671947772262560711722292809363744467045560938030495495533482847986120636811092986968671295672680960065860990122660411796439662274840530479690844538426419176059981444219335247430962877217131270062806340560516810392713173086383513953348818310834044685897401612870601652075448184993260253520337010931906031755598241749369822053721216932628899346588279850693628828121230992814012037763969839439178934005024594253924784309988943494135187719209130853178883804407238466362246182725740903995338805738471821365549590885446816001996748069935618817264159907167774883427446194954572782852249474314729194366516864988763263697743171541831441955578516766127534737456965445362891917107122099144116273242733529474432386529383127875721773216253514026516455947658497394725779118028343915185893307104214578819700060881600208008478662438807803727608883193076722699228335638552177971769294080950797820517414401917703506869683223830342677709333514965228435865549272222635580353899481549452512192023267408373734165617548631319071396557526368023448048851335937094163515201372048032436524283127936582129262042146703661646390019628628877657015437294970749731585030436443337692015653307218979317891687662149921987311029585124607252565540194532322433599061066386240950239648874878112811316445343113125860295527497752077234121880372397431144154311329912923093351377707137440822922445912256639285898152879975484771597781760831400119538500651440146936852202254429811646353514045881448084174201776970039204205535485337972572527295184504779144956644953510284493669370908388909865890495565618894575391179410646012673164597588517588566872655092372980191212667890503702729225678178925487032424478230677761843827466500251690004902201895459283208817359368357960741328556779479031655965400823957180138928103774332400947783894510188145595412812405291009094605679541712730826539916864778126944398382550478382525940841974492970797292222932763135930336612920031728667117458686086844902855979948146139410332536988061866340376600780722489459105207109746351560714499839500596853079723796284088798817526059428978075916363596046722199050318320267259882370385754191051466479507030673889656779970008061867241392069499647127897684094497684788632292090020040860518820198720992726321469995625049985191168437962113040422145846411455807151554036341655063612448857549281159316042702426206455994891094385382300844518082049225499023999433206513530099224302533063808600752191429911731631697578887573497721487106417558352339320432304254849034207059427887196572821655841588026446608461774196585557705716052857015161990953048604174245244785058164611043729127263123223718239088051311479187843414040258388152413494800235342461630583572549912398261133144172654572614472163065261133071873919332194977945082320764433443039920197402003489271589534616824058332343398193670385052013234818532260943483581055268494355268811524918123850403365135434622211927942255117606781365483309305527845204221087324491802524862245365300703039934176049787707479015884482200946581608525376045043796631358868962321074516867082562915776995501612735469993908675509467589394398306819046088116753540929844240270947035966533871518748296392972906203165191856147195802851237464678079804821558014920601878744968548863867800125474251533328768324722070956331372444712911876629096636744267769258289200096712613477923402622437599438364035947926473117910033317431823787887969151863679532678528222939504055141772344599865336561181574883489164662932949812912675124844373211044951706147599397509345078162973853006157371812728372001347365194342357366989351560493837088261760050359958799415066824193829877135612610976942493671119886074855472857545745714857566988789894751711535443261193593397998089812790140708202608452881327876681659521881335088645958983197723154584088773909261936401097804251394320196140167057125443278097748196}
30335  779232918097262532036467845869027387352519018684167026502585226853231893230358413701399: {1061305,1182441,1273566,1516150,1667545,1727841,1819380,1940672,2001054,2183256,2456163,2576605,2971262,3091926,3485305,3667873,4182366,4244660,5093592,5516966,5539593,5604205,5667409,5730291,6063800,6626721,6725046,6821775,7169961,7276560,7761664,7881380,8061662,8186130,8731872,8929945,9232045,9336404,9457656,9823356,9882921,10243766,10329913,10639863,10715934,10741945,11078454,11420461,11516660,12501097,12890334,13238041,13337720,13457245,13671993,13819992,14426132,14752641,15004935,15547491,16005264,16148694,16169305,17335604,17450481,17647993,17858710,17989401,18005922,19178905,19326934,19403166,20142921,20608760,20680761,20855341,21430452,21755793,22280055,22484845,23014686,23184855,23627593,23689126,23765392,24186529,24730512,26294324,26523875,26736066,26981814,27030217,27610033,27690649,27821826,28382942,28545553,28782745,29082205,29337176,29681005,29936041,30349777,30918566,31392201,31775545,31828650,32478637,33004323,33524121,33577753,33950560,34166905,34539294,34898646,35063005,35258209,35293654,35617206,35958745,36257245,36885721,37552273,37563320,37891250,38130654,38194380,39558070,40293169,40547060,40729945,40740672,41000286,41053321,41243017,41369055,42075606,42185209,42258735,42516505,43150494,43508694,43581566,43743092,44126992,44169380,44660001,44922164,45075984,45469500,45491809,45833256,46498861,47469684,47570605,47990774,48369862,48500800,48656472,48875934,49006419,49195832,49248875,49383553,49462814,49642866,50338897,50368870,50710482,50855293,50980593,51019806,51562413,52020505,52700726,53003256,54078673,54097729,54563400,54738531,54953809,55345311,56601097,57084726,57087334,57348505,57561670,58180862,58200960,58340975,58743902,58837593,59098650,59102449,59628663,60142964,60442644,61188445,61383825,61445793,61866481,62081024,62115014,62259380,62424606,63038560,63309433,64174520,64845841,65088201,65476080,65713693,65887275,66311462,66594409,66645993,66802369,67082845,67226449,68259805,68818206,69074004,69142105,69730105,69841152,69892273,70009170,70126454,70180153,70279760,70280084,70291549,70918380,71493145,71912710,72196335,72460856,72746761,72767107,73426134,73660590,73982324,74676448,74711256,75152209,75646272,75718921,75951921,76222406,76418077,77009424,77123233,77282470,78277112,78571296,79064730,80499414,80499709,80579245,80670494,80858710,81215156,81419366,81518463,81911766,82849142,82970526,83344250,83676126,83888534,83919860,84005089,84011004,84050163,84335712,84432070,84670045,84961945,85102056,85470644,85617974,85791774,85837405,85918520,86295252,86635602,87979153,88061751,88392708,88512404,89185844,89779593,89838392,90209305,90216361,90935353,91082605,91139581,91553209,91712977,92731549,92738964,92834612,93338841,93909697,93981566,94324436,94507321,94565593,94730660,94877676,95134870,95452717,95587604,95739813,96024505,96265046,96380809,96490982,96658335,96695094,97030452,97765945,98056045,98121673,98405121,98919092,...,2978766535414332230267189377479401068742234599636297186843653363053473383276533571962960297523991159969575999138428708255860960095117954872776804154873457671683876446550220913781104356862704656543889296955085723115946137825391329188701060648626253612797586755596462194140777783732308842128781537596851083427287784639106638609209130942545963663784099807497114256457943075649729218862509084952905325456811975731888816983266362259599157355138528469929013379478305806038600621034764450179802397003087835709271256922536293992058188222533915544411377340763477757708327235249759033377595717621655498514297965827250684456363665661139680853427996694776217524239203931001745454739432119650918031263616845536654486493298260711912129189335968746747033384512333163920545254256862042510482901425435537779759929487824228258992609936572872952471160354649584287567050026954939257983296291501335883173946609619767069032087640010844846937899318292073187565543458714941674023573027692651374535553788731504050938474417321851007921658393841067583439214045616700568341407045743243300224271979180955216639480453006943509021440098791485183990617694659493412260795719536266807639628764089972166329002871146444315825696905094209510840775215589069759629575270930023227466251067028846102419305902478113172277489890380280505516397859047633397362624054733080581825398943349019882419776040443242181846489221018056645954759158768401007536891380887176464983415241202781578813696279768325706610857699543369274088611355993008208607707732048324386328170224002995122104903428225896239860751662325141169292431859174278374211472093791549775297483144895546614757312747162933367775149191302106185448168044337875660683148716174409864100294211648579794074691813582659824380271039774683921487746092088668677042515872778839960656321868229550091322400312012717993658211705591413324789615084048842503457828266957653941121426196730776121602876555260304524835745514016564000272447842653798323908333953370530849222324178768288034901112560601248426322946978607094836289552035172073277003905641245272802058072048654786424691904873193893063220055492469585029442943316485523155942456124597377545654665006538023479960828468976837531493224882980966544377686910878848310291798483650398591599579361425359473312317169216974668014669688790443291246628115851182820558596146716231466994869384640027066560706161234383668868384958928847229319963227157396672641247100179307750977160220405278303381644717469530271068822172126261302665455058806308303228006958858790942776757168717434967430265426740504056362583364798835743348428341863086769115969019009746896382776382850308982638559470286819001835755554093838517268388230548636717346016642765741199750377535007353302843188924813226039052536941111992835169218547483948101235935770208392155661498601421675841765282218393119218607936513641908519312569096239809875297167190416597573825717573788911262961739456195938334399144703895504919380047593000676188029130267354283969922219209115498805482092799510564901171083734188657810664619527341071749759250895279619585694426133198226289089143467113874545394070083298575477480400889823555578631286577199719260546010834485169955012092800862088104249470691846526141746527182948438135030061290778230298081489089482204993437574977786752656943169560633218769617183710727331054512482595418673286323921738974064053639309683992336641578073451266777123073838248535999149809770295148836453799595712901128287144867597447546368331360246582230659626337528508980648456382273551310589141830794859232483762382039669912692661294878336558574079285522742986429572906261367867177587246916565593690894684835577358632076967218781765121060387582228620242200353013692445875358824868597391699716258981858921708244597891699607810878998292466917623481146650164559880296103005233907384301925236087498515097290505577578019852227798391415225371582902741532903217287377185775605047703151933317891913382676410172048224963958291767806331630986737703787293368047951054559901264074681561218523826723301419872412788064067565694947038303443481611775300623844373665493252419103204990863013264201384091597460228569132175130311394766360406420553949800807278122444589459359304747787784220793704276856197017119707232337022380902818117452823295801700188211377299993152487083106434497058667069367814943644955116401653887433800145068920216885103933656399157546053921889709676865049976147735681831953727795519299017792334409256082712658516899798004841772362325233746994399424719369012687266559816567427559221399096264017617244460779509236057719092558002021047791513536050484027340740755632392640075539938199122600236290744815703418916465413740506679829112283209286318618572286350483184842127567303164891790390096997134719185211062303912679321991815022489282822002632968938474796584731876133160863892904601646706377091480294210250585688164917146622294}
30336  781641575829046628860378395055794109273895835259723917711748943411238328408672426578738: {394199,515423,667106,697199,878903,1302599,1576588,1698088,1910349,2028023,2274225,2303788,2425840,2484026,2510999,2668072,2729070,2911008,3001581,3274884,3415199,4122568,4197383,4456893,4497863,4637889,5038223,5305825,5576488,5937383,5997263,6273549,6366990,6715199,6791456,6834743,7013999,7193183,7386124,7579750,7640388,7913186,8273978,8275449,8326343,8835628,8966728,9095700,9218903,9559948,9702080,9851725,10087569,10406183,10435706,10583999,10914840,11642496,11649383,11670505,11822070,11873978,12092493,12240143,12279195,12535223,12610208,13097808,13177228,13654703,13831199,14004606,14186484,14287912,14395825,14735034,14771272,14888663,15005999,15365649,15817346,16073901,16294583,16617681,16672150,17170943,17187112,17274990,18032665,18220199,18229324,18394823,18426656,19335501,19382999,19670188,19963199,20006580,20729988,20794718,21340352,21531592,21639198,21669505,22737023,23267308,23887343,23985868,24007896,24223041,25148999,25435199,25670029,25760950,25870888,26003406,26006999,26692103,26788065,26857228,27008883,27542906,27546863,27574348,27831383,27895778,28001999,28573936,28990401,29007724,29104749,29250983,29590943,29706740,30269999,30439583,30686248,30722063,30913140,31962599,32145678,32867905,32974016,32974703,33928199,34522029,35272826,35326199,35533689,35648088,35975752,36607943,36670778,36671470,37095768,37108343,37829999,38273423,38494943,38611118,39441486,40104099,40472721,40758143,41253143,41545466,41732739,41856268,42438200,42574413,43046353,43062599,43226663,43882199,44005764,44427599,44698828,45010106,45515999,46052392,46167503,46330199,46377849,46531528,46954150,47081978,47489608,47742975,47791223,48492599,48923543,49568999,50683825,50749343,50840872,50925840,51017063,51070583,51808941,51896186,51979199,52347969,52940481,53311199,53425809,53608706,53736383,54214103,54320896,54667048,54678865,54902999,55158740,55211725,55326263,55658978,56100808,56152705,56329463,56344980,56836875,57022946,57119423,57195981,57291570,57382343,57434903,57533992,57697583,58011592,58064999,59337105,59546668,60101312,60422786,60626000,60677999,60820590,61111008,61494790,61500429,62236199,62857463,62909183,63113409,63292912,63403249,63632423,63808226,64483586,64714343,64725741,64875296,65167912,65263041,65341892,65372349,65484983,65614638,66190488,66254070,66611999,66765383,66867599,67383246,67480223,67613976,67974124,68026408,68204250,68492473,68749884,68859386,69194978,70671008,70677599,71030903,71204526,71937599,71986161,72554793,72751200,72984708,73292783,73313901,73693199,73793748,74192999,74194221,74342783,74464299,75090623,75178705,75543866,75553305,75876578,75935999,76065723,76112968,76529709,77026583,77601280,77824225,78450124,78507503,78608593,78798200,79048703,79051089,79245263,79504884,79526906,79785143,80218150,80226143,80519783,80590192,81252623,81845100,81927724,81983663,82306081,82830266,82907063,83232808,84020999,85627089,85631001,86342505,86784268,87031789,87050543,87271293,87301440,87528503,87849700,87850105,88115853,88243943,88647975,88861324,89669423,90214446,90237599,90576070,90663966,91025666,91323383,91757608,92098672,92357999,92477905,92920703,93121536,93172521,93345560,93389070,93636909,93953978,94557840,95299343,96261780,96411503,96550199,96781199,97104263,97242599,97846390,97901512,98214120,98759543,99446183,99467193,99615008,...,4468149803121498345400784066219101603113351899454445780265480044580210074914800357944440446285986739954363998707643062383791440142676932309165206232310186507525814669825331370671656535294056984815833945432628584673919206738086993783051590972939380419196380133394693291211166675598463263193172306395276625140931676958659957913813696413818945495676149711245671384686914613474593828293763627429357988185217963597833225474899543389398736032707792704893520069217458709057900931552146675269703595504631753563906885383804440988087282333800873316617066011145216636562490852874638550066393576432483247771446948740876026684545498491709521280141995042164326286358805896502618182109148179476377046895425268304981729739947391067868193784003953120120550076768499745880817881385293063765724352138153306669639894231736342388488914904859309428706740531974376431350575040432408886974944437252003824760919914429650603548131460016267270406848977438109781348315188072412511035359541538977061803330683097256076407711625982776511882487590761601375158821068425050852512110568614864950336407968771432824959220679510415263532160148187227775985926541989240118391193579304400211459443146134958249493504306719666473738545357641314266261162823383604639444362906395034841199376600543269153628958853717169758416234835570420758274596788571450096043936082099620872738098415023529823629664060664863272769733831527084968932138738152601511305337071330764697475122861804172368220544419652488559916286549315053911132917033989512312911561598072486579492255336004492683157355142338844359791127493487711753938647788761417561317208140687324662946224717343319922135969120744400051662723786953159278172252066506813491024723074261614796150441317472869691112037720373989736570406559662025882231619138133003015563773809168259940984482802344325136983600468019076990487317558387119987184422626073263755186742400436480911682139295096164182404314832890456787253618271024846000408671763980697485862500930055796273833486268152432052351668840901872639484420467910642254434328052758109915505858461867909203087108072982179637037857309790839594830083238704377544164414974728284733913684186896066318481997509807035219941242703465256297239837324471449816566530366318272465437697725475597887399369042138039209968475753825462002022004533185664936869942173776774230837894220074347200492304076960040599841059241851575503302577438393270843979944840736095008961870650268961626465740330607917455072467076204295406603233258189391953998182588209462454842010438288186414165135753076152451145398140110756084543875047198253615022642512794630153673953528514620344574164574275463473957839205430228502753633331140757775902582345822955076019024964148611799625566302511029954264783387219839058578805411667989252753827821225922151853903655312588233492247902132513762647923327589678827911904770462862778968853644359714812945750785624896360738576360683366894442609184293907501598717055843257379070071389501014282043695401031425954883328813673248208223139199265847351756625601282986715996929291011607624638876342919429378541639199797339433633715200670811818091105124947863216220601334735333367946929865799578890819016251727754932518139201293132156374206037769789212619790774422657202545091936167345447122233634223307490156362466680128985414754340949828154425775566090996581768723893128009929485882608461096080458964525988504962367110176900165684610757372803998724714655442723254680699393569351692430717301396171319552497040369873345989439506292763470972684573410326965883712746192288848725643573059504869038991942317504837861118928284114479644359359392051800766380870374848390536342027253366037948115450828172647681590581373342930363300529520538668813038237302896087549574388472788382562366896837549411716318497438700376435221719975246839820444154507850861076452887854131247772645935758366367029778341697587122838057374354112299354825931065778663407571554727899976837870074014615258072337445937437651709497446480106555680940052071926581839851896112022341827785740084952129808619182096101348542420557455165222417662950935766560498239878628654807486294519896302076137396190342853698262695467092149540609630830924701210917183666884189038957121681676331190556415284295525679560848505533571354227176179234943702550282317065949989728730624659651745588000604051722415467432674602480831150700217603380325327655900484598736319080882834564515297574964221603522747930591693278948526688501613884124068987775349697007262658543487850620491599137079053519030899839724851141338832098644396026425866691169263854086578638837003031571687270304075726041011111133448588960113309907298683900354436117223555128374698120610760019743668424813929477927858429525724777263191350954747337685585145495702078777816593455869018982987722533733924233003949453407712194877097814199741295839356902470059565637220441315375878532247375719933441}
30337  784057635704229119501880041868436399770983674802193368609708605084134072713190381352693: {1000659,1485827,1970735,2122610,2334563,2364882,2547132,2879735,3032300,3335090,3455682,3607247,3638760,3726039,3881344,4002108,4093605,4334759,4366512,4879427,4912326,5153210,5942524,6183852,6334163,6697847,6970610,7335746,7845887,8364732,8489320,9232655,9550485,10187184,11033932,11044535,11079186,11208410,11334818,11369625,11460582,11869779,11949935,12127600,12208079,12410967,12501923,12924863,13253442,13450092,13643550,14339922,14553120,15038723,15523328,15653559,15762760,16123324,16372260,16471535,17463744,17733105,17810967,17859890,18464090,18672808,18840143,18915312,19646712,19765842,20487532,20659826,20856719,21006909,21279726,21431868,21483890,22102551,22156908,22300883,22637027,22786655,22840922,23033320,23726019,24293159,24587735,25002194,25008225,25780668,25912485,26476082,26675440,26850467,26914490,27032003,27343986,27639984,27923519,28852264,29084135,29505282,29938019,29982335,30009870,31094982,31192077,31378583,31478783,32010528,32297388,32338610,32458797,32480783,32630039,33571535,33920339,34242659,34458167,34467935,34671208,34718543,34900962,35295986,35717420,35978802,36011844,36259655,37133425,38357810,38641425,38653868,38806332,39005109,39682799,40285842,40295843,40613663,40715087,41217520,41314359,41361522,41553407,41710682,41843667,42444959,42860904,43511586,44087363,44379959,44485763,44560110,44969690,45902903,46029372,46155923,46369710,47255186,47378252,47530784,47833667,48218517,48373058,49088207,49461024,49705679,49837727,49855247,50342243,50760143,50774639,52101863,52320335,52588648,52609967,52909239,53047750,53336039,53472132,53763047,53963628,54060434,55006167,55007205,55220066,55381298,55643652,55873535,55980983,56765884,57021923,57091106,57565490,57916677,58164410,58674352,58758263,59162229,59362010,59523107,59872082,60699554,61418963,61837132,62318199,62784402,63551090,63657300,63911159,63972359,64957274,66008646,66016103,66598847,67048242,67155506,67515159,67901120,68333810,68919239,68948425,69078588,69797292,70126010,70431225,70516418,70587308,70622967,71234412,71317703,71569859,71917490,72514490,72828707,73771442,73842659,74433335,74820239,75104546,75126640,75135443,75782500,75814343,76261308,76388760,77443823,77763779,77844279,78561143,79116140,80287907,80413059,80586338,81094120,81459890,81481344,81677365,82000572,82106642,82486034,82599959,82738110,83488467,84151212,84370418,84517470,84967655,84983543,85033010,85408439,85534419,85663823,85937355,86300988,87017388,87163132,87486184,88176227,88253984,88338760,88816247,89320002,89844328,89970263,90151968,90457439,90634179,90939000,90983618,91145639,91230885,91666512,92242185,92270819,92737703,92997722,93915983,94939368,95141210,95172227,95563727,95712339,95981548,96438179,96725379,96739724,96798947,97001600,97312944,97622147,97710959,97751868,98012838,98062655,98391664,98421957,98497750,98767106,98925628,99285732,99381105,99484823,...,5957533070828664460534378754958802137484469199272594373687306726106946766553067143925920595047982319939151998276857416511721920190235909745553608309746915343367752893100441827562208713725409313087778593910171446231892275650782658377402121297252507225595173511192924388281555567464617684257563075193702166854575569278213277218418261885091927327568199614994228512915886151299458437725018169905810650913623951463777633966532724519198314710277056939858026758956611612077201242069528900359604794006175671418542513845072587984116376445067831088822754681526955515416654470499518066755191435243310997028595931654501368912727331322279361706855993389552435048478407862003490909478864239301836062527233691073308972986596521423824258378671937493494066769024666327841090508513724085020965802850871075559519858975648456517985219873145745904942320709299168575134100053909878515966592583002671766347893219239534138064175280021689693875798636584146375131086917429883348047146055385302749071107577463008101876948834643702015843316787682135166878428091233401136682814091486486600448543958361910433278960906013887018042880197582970367981235389318986824521591439072533615279257528179944332658005742292888631651393810188419021681550431178139519259150541860046454932502134057692204838611804956226344554979780760561011032795718095266794725248109466161163650797886698039764839552080886484363692978442036113291909518317536802015073782761774352929966830482405563157627392559536651413221715399086738548177222711986016417215415464096648772656340448005990244209806856451792479721503324650282338584863718348556748422944187583099550594966289791093229514625494325866735550298382604212370896336088675751321366297432348819728200588423297159588149383627165319648760542079549367842975492184177337354085031745557679921312643736459100182644800624025435987316423411182826649579230168097685006915656533915307882242852393461552243205753110520609049671491028033128000544895685307596647816667906741061698444648357536576069802225121202496852645893957214189672579104070344146554007811282490545604116144097309572849383809746387786126440110984939170058885886632971046311884912249194755091309330013076046959921656937953675062986449765961933088755373821757696620583596967300797183199158722850718946624634338433949336029339377580886582493256231702365641117192293432462933989738769280054133121412322468767337736769917857694458639926454314793345282494200358615501954320440810556606763289434939060542137644344252522605330910117612616606456013917717581885553514337434869934860530853481008112725166729597671486696856683726173538231938038019493792765552765700617965277118940573638003671511108187677034536776461097273434692033285531482399500755070014706605686377849626452078105073882223985670338437094967896202471871540416784311322997202843351683530564436786238437215873027283817038625138192479619750594334380833195147651435147577822525923478912391876668798289407791009838760095186001352376058260534708567939844438418230997610964185599021129802342167468377315621329239054682143499518501790559239171388852266396452578178286934227749090788140166597150954960801779647111157262573154399438521092021668970339910024185601724176208498941383693052283493054365896876270060122581556460596162978178964409986875149955573505313886339121266437539234367421454662109024965190837346572647843477948128107278619367984673283156146902533554246147676497071998299619540590297672907599191425802256574289735194895092736662720493164461319252675057017961296912764547102621178283661589718464967524764079339825385322589756673117148158571045485972859145812522735734355174493833131187381789369671154717264153934437563530242120775164457240484400706027384891750717649737194783399432517963717843416489195783399215621757996584933835246962293300329119760592206010467814768603850472174997030194581011155156039704455596782830450743165805483065806434574754371551210095406303866635783826765352820344096449927916583535612663261973475407574586736095902109119802528149363122437047653446602839744825576128135131389894076606886963223550601247688747330986504838206409981726026528402768183194920457138264350260622789532720812841107899601614556244889178918718609495575568441587408553712394034239414464674044761805636234905646591603400376422754599986304974166212868994117334138735629887289910232803307774867600290137840433770207867312798315092107843779419353730099952295471363663907455591038598035584668818512165425317033799596009683544724650467493988798849438738025374533119633134855118442798192528035234488921559018472115438185116004042095583027072100968054681481511264785280151079876398245200472581489631406837832930827481013359658224566418572637237144572700966369684255134606329783580780193994269438370422124607825358643983630044978565644005265937876949593169463752266321727785809203293412754182960588420501171376329834293244588}
30338  786481120338636853694480259039402389726593938186245239453502742050101818981291154457662: {576061,788398,939517,1030846,1334212,1394398,1757806,2028157,2390461,2605198,2933377,3153176,3183915,3396176,3547323,3790375,3820698,3836797,4056046,4548450,4558237,4607576,4738417,4851680,4968052,5002635,5021998,5183523,5336144,5458140,5822016,5997661,6003162,6549768,6830398,6894961,7253377,7368489,7428155,7729815,8245136,8394766,8913786,8995726,9275778,10076446,10455915,10466161,10611650,11003619,11152976,11354461,11874766,11994526,12547098,12595057,12733980,13430398,13582912,13655617,13669486,13792415,14027998,14386366,14537437,14772248,15159500,15280776,15826372,16338707,16547956,16550898,16618779,16652686,16812615,17002227,17172097,17190873,17671256,17933456,18191400,18437806,19119896,19404160,19703450,19880163,20154155,20175138,20465325,20812366,20871412,21006961,21167998,21509883,21527197,21829680,21873661,22219837,22392817,22738561,23284992,23298766,23341010,23644140,23747956,23946397,24184986,24480286,24558390,25070446,25220416,25245731,25609415,26195616,26354456,26789835,27309406,27548737,27662398,27696135,28009212,28372968,28575824,28791650,29082877,29470068,29542544,29648763,29777326,30011998,30337307,30731298,30780637,30989739,31288561,31634692,31795837,31919589,32147802,32225835,32589166,32639857,32976961,33235362,33344300,34154557,34261383,34341886,34374224,34549980,34993537,35997937,36065330,36440398,36458648,36789646,36853312,37166461,37503291,38331457,38671002,38765998,39340376,39714123,39926398,40013160,40371735,41015979,41310961,41459976,41589436,42134461,42463357,42680704,43063184,43278396,43339010,44103517,44257923,44594161,44646775,45014805,45084157,45410461,45474046,46015067,46224961,46534616,46642473,46712797,47774686,47848561,47971736,48015792,48317335,48446082,48507915,49787377,49948477,50270461,50297998,50870398,51074161,51340058,51395137,51521900,51741776,52006812,52013998,52351443,52943979,52995697,53384206,53576130,53714456,53968203,54017766,55085812,55093726,55148696,55383037,55662766,55791556,56003998,56333437,57147872,57438961,57536715,57980802,58015448,58209498,58501966,59181886,59222815,59413480,60265537,60428763,60539998,60879166,61372496,61444126,61826280,62042283,62566023,62913661,63223837,63688561,63925198,63998017,64152637,64291356,64770397,65267379,65540977,65735810,65948032,65949406,66309757,66463297,66840165,67454535,67856398,67994737,69044058,69554565,70126657,70545652,70581661,70652398,70882779,70957355,71067378,71296176,71951504,72559587,73215886,73298077,73341556,73342940,74191536,74216686,74797117,75659998,76546846,76550411,76989886,77032177,77222236,77296415,78365437,78513217,78613787,78882972,79571625,80208198,80945442,81090651,81307357,81516286,82038337,82506286,82830099,83071947,83090932,83465478,83494897,83640157,83712536,83930461,84305419,84876400,85148826,85636659,86092706,86125198,86348235,86453326,87246615,87534961,87764398,88011528,88234135,88536157,88855198,89043015,89391517,89397656,89808123,90020212,91031998,91049331,91377277,92104784,92335006,92660398,92755698,92927617,93063056,93908300,93909661,94163956,94176603,94329457,94728125,94979216,95326635,95485950,95582446,96301447,96418717,96985198,97111537,97270823,97435911,97847086,98354077,98491777,98895175,99012969,99137998,...,8936299606242996690801568132438203206226703798908891560530960089160420149829600715888880892571973479908727997415286124767582880285353864618330412464620373015051629339650662741343313070588113969631667890865257169347838413476173987566103181945878760838392760266789386582422333351196926526386344612790553250281863353917319915827627392827637890991352299422491342769373829226949187656587527254858715976370435927195666450949799086778797472065415585409787040138434917418115801863104293350539407191009263507127813770767608881976174564667601746633234132022290433273124981705749277100132787152864966495542893897481752053369090996983419042560283990084328652572717611793005236364218296358952754093790850536609963459479894782135736387568007906240241100153536999491761635762770586127531448704276306613339279788463472684776977829809718618857413481063948752862701150080864817773949888874504007649521839828859301207096262920032534540813697954876219562696630376144825022070719083077954123606661366194512152815423251965553023764975181523202750317642136850101705024221137229729900672815937542865649918441359020830527064320296374455551971853083978480236782387158608800422918886292269916498987008613439332947477090715282628532522325646767209278888725812790069682398753201086538307257917707434339516832469671140841516549193577142900192087872164199241745476196830047059647259328121329726545539467663054169937864277476305203022610674142661529394950245723608344736441088839304977119832573098630107822265834067979024625823123196144973158984510672008985366314710284677688719582254986975423507877295577522835122634416281374649325892449434686639844271938241488800103325447573906318556344504133013626982049446148523229592300882634945739382224075440747979473140813119324051764463238276266006031127547618336519881968965604688650273967200936038153980974635116774239974368845252146527510373484800872961823364278590192328364808629665780913574507236542049692000817343527961394971725001860111592547666972536304864104703337681803745278968840935821284508868656105516219831011716923735818406174216145964359274075714619581679189660166477408755088328829949456569467827368373792132636963995019614070439882485406930512594479674648942899633133060732636544930875395450951195774798738084276078419936951507650924004044009066371329873739884347553548461675788440148694400984608153920081199682118483703151006605154876786541687959889681472190017923741300537923252931480661215834910144934152408590813206466516378783907996365176418924909684020876576372828330271506152304902290796280221512169087750094396507230045285025589260307347907057029240689148329148550926947915678410860457005507266662281515551805164691645910152038049928297223599251132605022059908529566774439678117157610823335978505507655642451844303707807310625176466984495804265027525295846655179357655823809540925725557937707288719429625891501571249792721477152721366733788885218368587815003197434111686514758140142779002028564087390802062851909766657627346496416446278398531694703513251202565973431993858582023215249277752685838858757083278399594678867267430401341623636182210249895726432441202669470666735893859731599157781638032503455509865036278402586264312748412075539578425239581548845314405090183872334690894244467268446614980312724933360257970829508681899656308851551132181993163537447786256019858971765216922192160917929051977009924734220353800331369221514745607997449429310885446509361398787138703384861434602792342639104994080739746691978879012585526941945369146820653931767425492384577697451287146119009738077983884635009675722237856568228959288718718784103601532761740749696781072684054506732075896230901656345295363181162746685860726601059041077337626076474605792175099148776945576765124733793675098823432636994877400752870443439950493679640888309015701722152905775708262495545291871516732734059556683395174245676114748708224598709651862131557326815143109455799953675740148029230516144674891874875303418994892960213111361880104143853163679703792224044683655571480169904259617238364192202697084841114910330444835325901871533120996479757257309614972589039792604152274792380685707396525390934184299081219261661849402421834367333768378077914243363352662381112830568591051359121697011067142708454352358469887405100564634131899979457461249319303491176001208103444830934865349204961662301400435206760650655311800969197472638161765669129030595149928443207045495861183386557897053377003227768248137975550699394014525317086975701240983198274158107038061799679449702282677664197288792052851733382338527708173157277674006063143374540608151452082022222266897177920226619814597367800708872234447110256749396241221520039487336849627858955855716859051449554526382701909494675371170290991404157555633186911738037965975445067467848466007898906815424389754195628399482591678713804940119131274440882630751757064494751439866882}
30339  788912052416793727144857737999197157698656888515064693557706887299092572815698503240984: {1182597,1546269,1667765,2001318,2091597,2636709,2759029,2971654,3907797,3941470,4031629,4245220,4669126,4729764,5094264,5122897,5731047,5759470,6064600,6084069,6210065,6670180,6822675,6911364,7214494,7277520,7452078,7485829,7532997,7762688,8004216,8187210,8669518,8733024,9004743,9758854,9824652,10245597,10306420,11885048,12367704,12592149,12668326,12925717,13370679,13395694,13493589,13913667,13941220,14671492,14934449,15114669,15462349,15691774,15917475,16024997,16729464,16729909,16978640,17812149,17991789,18465310,18820647,18949375,19100970,19644581,19782965,20145597,20374368,20504229,20684945,21041997,21579549,22067864,22089070,22158372,22416820,22669636,22739250,22921164,23060149,23739558,23899870,24255200,24416158,24821934,24826347,24979029,25003846,25849726,26089265,26355589,26506884,26900184,27272369,27287100,27656709,28679844,28710097,29106240,29555175,29684945,30077446,30262707,31046656,31218549,31307118,31525520,31751997,31901317,32246648,32720789,32744520,32943070,34422829,34720837,34927488,34948149,35011515,35070181,35466210,35621934,35719780,35989841,36277479,36720429,36837585,36928180,37345616,37605669,37680286,37830624,38512069,39293424,39531684,39543365,40468597,40717789,40964109,40975064,41319652,41493597,41680375,41713438,41975269,42013818,42559452,42863736,42967780,43187475,43513877,44205102,44313816,44601766,44665989,45017997,45274054,45391741,45573310,45681844,46066640,46096947,47000149,47452038,48142069,48221703,48255109,48586318,48883749,49175470,49853043,50004388,50016450,50763517,51512829,51561336,51824970,51986795,52952164,53350880,53700934,53828980,54064006,54097995,54547909,54660597,54687972,55184469,55279968,55405757,55700989,55847038,55937797,57704528,58006503,58148997,58168270,59010564,59876038,59889597,59964670,60019740,61574929,62189964,62384154,62566981,62757166,62810557,62957566,63317837,64021056,64402375,64594776,64677220,64917594,64961566,65008515,65260078,67143070,67840678,68211069,68253937,68485318,68857265,68916334,68935870,69342416,69437086,69739445,69801924,70591972,71434840,71662029,71957604,72023688,72519310,72669123,73248469,74266850,75446997,75603697,76305597,76715620,77010087,77282850,77307736,77612664,78010218,78020997,78222949,78497597,79103981,79365598,79708021,80076309,80364195,80571684,80591686,81026649,81227326,81430174,82435040,82628718,82640589,82723044,83106814,83421364,83494149,83687334,84005997,84889918,85010717,85721808,86554861,86971203,87023172,87268597,87314247,87752949,88174726,88182065,88341829,88759918,88772829,88944581,88971526,89120220,89598769,89939380,90809997,90844477,91318749,91676945,91678675,91805806,92058744,92166189,92311846,92739420,92875277,93719909,94510372,94756504,94869997,95061568,95667334,95887797,96437034,96527795,96746116,98176414,98603715,98922048,98924109,98955569,99411358,99675454,99710494,...,13404449409364495036202352198657304809340055698363337340796440133740630224744401073833321338857960219863091996122929187151374320428030796927495618696930559522577444009475994112014969605882170954447501836297885754021757620214260981349154772918818141257589140400184079873633500026795389789579516919185829875422795030875979873741441089241456836487028449133737014154060743840423781484881290882288073964555653890793499676424698630168196208098123378114680560207652376127173702794656440025809110786513895260691720656151413322964261847001402619949851198033435649909687472558623915650199180729297449743314340846222628080053636495475128563840425985126492978859076417689507854546327444538429131140686275804914945189219842173203604581352011859360361650230305499237642453644155879191297173056414459920008919682695209027165466744714577928286120221595923129294051725121297226660924833311756011474282759743288951810644394380048801811220546932314329344044945564217237533106078624616931185409992049291768229223134877948329535647462772284804125476463205275152557536331705844594851009223906314298474877662038531245790596480444561683327957779625967720355173580737913200634378329438404874748480512920158999421215636072923942798783488470150813918333088719185104523598129801629807460886876561151509275248704506711262274823790365714350288131808246298862618214295245070589470888992181994589818309201494581254906796416214457804533916011213992294092425368585412517104661633258957465679748859647945161733398751101968536938734684794217459738476766008013478049472065427016533079373382480463135261815943366284252683951624422061973988838674152029959766407907362233200154988171360859477834516756199520440473074169222784844388451323952418609073336113161121969209711219678986077646694857414399009046691321427504779822953448407032975410950801404057230971461952675161359961553267878219791265560227201309442735046417885288492547212944498671370361760854813074538001226015291942092457587502790167388821500458804457296157055006522705617918453261403731926763302984158274329746517575385603727609261324218946538911113571929372518784490249716113132632493244924184854201741052560688198955445992529421105659823728110395768891719511973414349449699591098954817396313093176426793662198107126414117629905427261476386006066013599556994810609826521330322692513682660223041601476912230880121799523177725554726509907732315179812531939834522208285026885611950806884879397220991823752365217401228612886219809699774568175861994547764628387364526031314864559242495407259228457353436194420332268253631625141594760845067927538383890461021860585543861033722493722826390421873517616290685508260899993422273327707747037468865228057074892445835398876698907533089862794350161659517175736416235003967758261483463677766455561710965937764700476743706397541287943769982769036483735714311388588336906560933079144438837252356874689082215729082050100683327827552881722504796151167529772137210214168503042846131086203094277864649986441019744624669417597797542055269876803848960147990787873034822873916629028758288135624917599392018300901145602012435454273315374843589648661804004206000103840789597398736672457048755183264797554417603879396469122618113309367637859372323267971607635275808502036341366700902669922470469087400040386956244263022849484463277326698272989745306171679384029788457647825383288241376893577965514887101330530700497053832272118411996174143966328169764042098180708055077292151904188513958657491121109620037968318518878290412918053720230980897651138238576866546176930719178514607116975826952514513583356784852343438933078078176155402299142611124545171609026081760098113844346352484517943044771744120028791089901588561616006439114711908688262648723165418365147687100690512648235148955492316101129305665159925740519461332463523552583229358663562393743317937807275099101089335025092761368514172123062336898064477793197335990222714664183699930513610222043845774217012337812312955128492339440319667042820156215779745519555688336067025483357220254856389425857546288304045627261672365495667252988852807299681494719635885964422458883559688906228412188571028561094788086401276448621828892492774103632751551000652567116871365045028993571669245852886577038682545516600714062681528537704831107650846951197849969186191873978955236764001812155167246402298023807442493452100652810140975982967701453796208957242648503693545892724892664810568243791775079836845580065504841652372206963326049091021787975630463551861474797411237160557092699519174553424016496295933188079277600073507791562259735916511009094715061810912227178123033333400345766880339929721896051701063308351670665385124094361832280059231005274441788433783575288577174331789574052864242013056755436487106236333449780367607056948963167601201772699011848360223136584631293442599223887518070707410178696911661323946127635596742127159800323}
30340  791350454692128140582253489584110538826102355887234734908963467392624101635445731521922: {515491,1152122,1423771,1576796,1879034,2061692,2149099,2668424,2788796,3001977,3515612,4056314,4137811,4457481,4780922,5210396,5306525,5398819,5866754,5912205,6306352,6367830,6792352,6835651,7003689,7094646,7552339,7580750,7641396,7673594,8089099,8112092,8337725,8446579,8639205,8803771,9096900,9116474,9215152,9339019,9476834,9703360,9936104,10005270,10043996,10367046,10399417,10672288,10821741,10916280,11178117,11644032,11995322,12006324,12280815,12536899,12883025,13004277,13099536,13660796,13774219,13789922,13950691,14506754,14638281,14736978,14856310,15008011,15459630,15535699,16490272,16789532,17426525,17465011,17814859,17827572,17991452,18339091,18339365,18551556,19002489,19309381,20081851,20093541,20152892,20911830,20932322,21223300,22007238,22305952,22708922,22855291,23537661,23749532,23890579,23989052,24751339,25094196,25190114,25266931,25467960,26124811,26809819,26860796,27165824,27311234,27322819,27338972,27584830,27664459,27697965,28005811,28021025,28055996,28215817,28337045,28651455,28687651,28772732,29074874,29544496,29708251,30319000,30561552,31652744,32079571,32417179,32677414,33095912,33101796,33133605,33237558,33305372,33625230,34004454,34108875,34344194,34381746,34604611,34772371,35342512,35442691,35609337,35849805,35853181,35866912,36382800,36624237,36875612,37113451,37232901,37505769,37946131,38239792,38278699,38774589,38808320,39406900,39440419,39760326,40308310,40338617,40350276,40930650,41588539,41624732,41742824,42013922,42335996,42740179,43019766,43054394,43659360,43747322,43888291,44439674,44649725,44785634,45116169,45477122,46160225,46569984,46597532,46682020,46960677,46986811,47288280,47495912,47892794,48369972,48607171,48930379,48960572,49116780,49253299,49414605,49575931,50140892,50440832,50491462,51218830,51649565,51986491,52391232,52626571,52708912,53199315,53425051,53432901,53579670,53709725,54062539,54221731,54618812,54857779,55097474,55324796,55392270,56018424,56520429,56745936,57102305,57151648,57583300,58165754,58335451,58940136,59085088,59297526,59554652,59591419,60023996,60061219,60674614,61462596,61561274,61979478,62505485,62570157,62577122,63020727,63021571,63269384,63591674,63839178,64295604,64451670,64723579,65178332,65279714,65494339,65953922,65955931,66190205,66307653,66470724,66688600,66877171,66902649,67030459,67286225,67642891,67644269,67911081,68254171,68309114,68359965,68522766,68683772,68748448,69099960,69987074,70384579,70839259,71178057,71897659,71995874,72130660,72879477,72880796,72917296,73579292,73706624,73763205,74303611,74332922,74453371,75006582,75024675,75350419,76662914,76839739,77136739,77342004,77531996,77737455,78617419,78680752,79428246,79649611,79796779,79852796,80026320,80551401,80743470,80846525,81096009,82031958,82287619,82621922,82911941,82919952,83016259,83178872,83770557,84268922,84926714,85361408,86126368,86556792,86678020,87252405,88207034,88239965,88515846,89188322,89293550,89777491,89814057,89919619,89947005,90029610,90168314,90345571,90629179,90820922,90948092,91336939,91901851,92030134,92449922,92747059,93028219,93069232,93284946,93425594,93576231,93729859,94135749,94436349,94569451,94848739,95267131,95549372,95697122,95823979,95894525,95943472,96031584,96634670,96657091,96795691,96892164,97015830,97376391,97442349,97625779,97890117,97901899,99340297,99574754,99633677,99896954,...,17872599212485993381603136264876406412453407597817783121061920178320840299659201431777761785143946959817455994830572249535165760570707729236660824929240746030103258679301325482686626141176227939263335781730514338695676826952347975132206363891757521676785520533578773164844666702393853052772689225581106500563726707834639831655254785655275781982704598844982685538747658453898375313175054509717431952740871854391332901899598173557594944130831170819574080276869834836231603726208586701078814382018527014255627541535217763952349129335203493266468264044580866546249963411498554200265574305729932991085787794963504106738181993966838085120567980168657305145435223586010472728436592717905508187581701073219926918959789564271472775136015812480482200307073998983523271525541172255062897408552613226678559576926945369553955659619437237714826962127897505725402300161729635547899777749008015299043679657718602414192525840065069081627395909752439125393260752289650044141438166155908247213322732389024305630846503931106047529950363046405500635284273700203410048442274459459801345631875085731299836882718041661054128640592748911103943706167956960473564774317217600845837772584539832997974017226878665894954181430565257065044651293534418557777451625580139364797506402173076614515835414868679033664939342281683033098387154285800384175744328398483490952393660094119294518656242659453091078935326108339875728554952610406045221348285323058789900491447216689472882177678609954239665146197260215644531668135958049251646246392289946317969021344017970732629420569355377439164509973950847015754591155045670245268832562749298651784898869373279688543876482977600206650895147812637112689008266027253964098892297046459184601765269891478764448150881495958946281626238648103528926476552532012062255095236673039763937931209377300547934401872076307961949270233548479948737690504293055020746969601745923646728557180384656729617259331561827149014473084099384001634687055922789943450003720223185095333945072609728209406675363607490557937681871642569017737312211032439662023433847471636812348432291928718548151429239163358379320332954817510176657659898913138935654736747584265273927990039228140879764970813861025188959349297885799266266121465273089861750790901902391549597476168552156839873903015301848008088018132742659747479768695107096923351576880297388801969216307840162399364236967406302013210309753573083375919779362944380035847482601075846505862961322431669820289868304817181626412933032757567815992730352837849819368041753152745656660543012304609804581592560443024338175500188793014460090570051178520614695814114058481378296658297101853895831356821720914011014533324563031103610329383291820304076099856594447198502265210044119817059133548879356234315221646671957011015311284903688607415614621250352933968991608530055050591693310358715311647619081851451115875414577438859251783003142499585442954305442733467577770436737175630006394868223373029516280285558004057128174781604125703819533315254692992832892556797063389407026502405131946863987717164046430498555505371677717514166556799189357734534860802683247272364420499791452864882405338941333471787719463198315563276065006911019730072556805172528625496824151079156850479163097690628810180367744669381788488934536893229960625449866720515941659017363799312617703102264363986327074895572512039717943530433844384321835858103954019849468440707600662738443029491215994898858621770893018722797574277406769722869205584685278209988161479493383957758025171053883890738293641307863534850984769155394902574292238019476155967769270019351444475713136457918577437437568207203065523481499393562145368109013464151792461803312690590726362325493371721453202118082154675252152949211584350198297553891153530249467587350197646865273989754801505740886879900987359281776618031403444305811551416524991090583743033465468119113366790348491352229497416449197419303724263114653630286218911599907351480296058461032289349783749750606837989785920426222723760208287706327359407584448089367311142960339808519234476728384405394169682229820660889670651803743066241992959514514619229945178079585208304549584761371414793050781868368598162438523323698804843668734667536756155828486726705324762225661137182102718243394022134285416908704716939774810201129268263799958914922498638606982352002416206889661869730698409923324602800870413521301310623601938394945276323531338258061190299856886414090991722366773115794106754006455536496275951101398788029050634173951402481966396548316214076123599358899404565355328394577584105703466764677055416346314555348012126286749081216302904164044444533794355840453239629194735601417744468894220513498792482443040078974673699255717911711433718102899109052765403818989350742340581982808315111266373823476075931950890134935696932015797813630848779508391256798965183357427609880238262548881765261503514128989502879733764}
30341  793796349987181081672418779133732591522217523864016106671304279626341619580313534333208: {30341,1728183,1970995,2334871,2365194,2577115,2818551,3092538,3335530,3485995,3668599,4002636,4183194,4394515,5273418,5518058,5668531,5943308,6084471,6512995,7171383,7667671,7815594,7882940,8063258,8490440,8694091,8758723,8800131,9338252,9459528,9551745,10140115,10188528,10245794,10641969,11371125,11462094,11510391,11518940,12129200,12168138,12329251,12420130,12554995,13340360,13645350,13674711,13822728,14215251,14428988,14555040,14904156,14971658,15007905,15065994,15525376,15550569,15964411,16008432,16374420,16691443,17075995,17339036,17466048,17992983,18009486,19517708,19645879,19649304,20310499,20491194,20612840,20684883,20986915,21760131,22105467,22284465,22489315,23189445,23216323,23632279,23770096,24735408,25184298,25191115,25336652,25851434,26529125,26741358,26791388,26987178,27274171,27696151,27827334,27882440,28958923,29342984,29605939,29686915,29868898,29986315,30229338,30480883,30924698,31367745,31383548,31398483,31834950,32049994,32722951,33010857,33458928,33459818,33575995,33957280,34063383,34173715,35069995,35572471,35624298,35965915,35983578,35992219,36515371,36524971,36930620,37641294,37745443,37785171,37898750,38201940,38471899,39289162,39565930,40291194,40748736,40966851,41008458,41061463,41369890,41377245,41558923,41631715,42083994,42193591,42670051,43159098,43612311,44135728,44178140,44316744,44833640,45339272,45478500,45842328,46094515,46120298,46508083,47479116,47799740,48510400,48832316,49016121,49258625,49466659,49643868,49652694,49856337,49958058,50007692,50437845,50865379,51006681,51425491,51516291,51572619,51699452,51762883,51892891,52030915,52178530,52711178,52919995,53013768,53800368,54544738,54574200,55313418,55360711,57359688,57420194,58035331,58212480,58246915,58297531,58352525,59110350,59369890,59640489,60154892,60462465,60525414,61200715,61395975,62093312,62266219,62437098,62614236,62676115,63020883,63051040,63322039,63503994,63802634,63980851,64493296,64529649,64581591,65195323,65298211,65441578,65479531,65489040,65620983,65886140,66659511,67178451,68215683,68273515,68845658,69155995,69441674,69854976,69896298,69906199,70023030,70140362,70305523,70932420,71243868,71439560,71839191,71979125,71979682,72554958,72781513,73152979,73440858,73675170,73856360,74349271,74443315,74691232,74830171,75029995,75167191,75211338,75330331,75360572,75661248,75737193,76828245,77024138,77138611,78005563,78586848,79063368,79086730,79109239,79765939,80369505,80937194,81435578,81472915,81928218,81950128,82639304,82646211,82987194,83088405,83360750,83426876,83576131,83950538,84027636,85118904,85727472,85854715,85935560,86374950,87027754,87248631,88410204,88488019,88627632,88946289,89203532,89331978,89605879,90035994,90163325,90548108,90783482,90953431,91011921,91100995,91146620,91363688,91974115,92133280,92193894,92341911,92969217,93486523,93536311,93865683,94000298,94904076,95100331,95387511,95471683,95758767,96284138,96400171,96443406,96510218,96677505,96914995,97172636,97635223,97767498,97841851,97919571,98350940,98930883,99706086,99815995,...,26808898818728990072404704397314609618680111396726674681592880267481260449488802147666642677715920439726183992245858374302748640856061593854991237393861119045154888018951988224029939211764341908895003672595771508043515240428521962698309545837636282515178280800368159747267000053590779579159033838371659750845590061751959747482882178482913672974056898267474028308121487680847562969762581764576147929111307781586999352849397260336392416196246756229361120415304752254347405589312880051618221573027790521383441312302826645928523694002805239899702396066871299819374945117247831300398361458594899486628681692445256160107272990950257127680851970252985957718152835379015709092654889076858262281372551609829890378439684346407209162704023718720723300460610998475284907288311758382594346112828919840017839365390418054330933489429155856572240443191846258588103450242594453321849666623512022948565519486577903621288788760097603622441093864628658688089891128434475066212157249233862370819984098583536458446269755896659071294925544569608250952926410550305115072663411689189702018447812628596949755324077062491581192960889123366655915559251935440710347161475826401268756658876809749496961025840317998842431272145847885597566976940301627836666177438370209047196259603259614921773753122303018550497409013422524549647580731428700576263616492597725236428590490141178941777984363989179636618402989162509813592832428915609067832022427984588184850737170825034209323266517914931359497719295890323466797502203937073877469369588434919476953532016026956098944130854033066158746764960926270523631886732568505367903248844123947977677348304059919532815814724466400309976342721718955669033512399040880946148338445569688776902647904837218146672226322243938419422439357972155293389714828798018093382642855009559645906896814065950821901602808114461942923905350322719923106535756439582531120454402618885470092835770576985094425888997342740723521709626149076002452030583884184915175005580334777643000917608914592314110013045411235836906522807463853526605968316548659493035150771207455218522648437893077822227143858745037568980499432226265264986489848369708403482105121376397910891985058842211319647456220791537783439023946828698899399182197909634792626186352853587324396214252828235259810854522952772012132027199113989621219653042660645385027365320446083202953824461760243599046355451109453019815464630359625063879669044416570053771223901613769758794441983647504730434802457225772439619399549136351723989095529256774729052062629729118484990814518456914706872388840664536507263250283189521690135855076767780922043721171087722067444987445652780843747035232581371016521799986844546655415494074937730456114149784891670797753397815066179725588700323319034351472832470007935516522966927355532911123421931875529400953487412795082575887539965538072967471428622777176673813121866158288877674504713749378164431458164100201366655655105763445009592302335059544274420428337006085692262172406188555729299972882039489249338835195595084110539753607697920295981575746069645747833258057516576271249835198784036601802291204024870908546630749687179297323608008412000207681579194797473344914097510366529595108835207758792938245236226618735275718744646535943215270551617004072682733401805339844940938174800080773912488526045698968926554653396545979490612343358768059576915295650766576482753787155931029774202661061400994107664544236823992348287932656339528084196361416110154584303808377027917314982242219240075936637037756580825836107440461961795302276477153733092353861438357029214233951653905029027166713569704686877866156156352310804598285222249090343218052163520196227688692704969035886089543488240057582179803177123232012878229423817376525297446330836730295374201381025296470297910984632202258611330319851481038922664927047105166458717327124787486635875614550198202178670050185522737028344246124673796128955586394671980445429328367399861027220444087691548434024675624625910256984678880639334085640312431559491039111376672134050966714440509712778851715092576608091254523344730991334505977705614599362989439271771928844917767119377812456824377142057122189576172802552897243657784985548207265503102001305134233742730090057987143338491705773154077365091033201428125363057075409662215301693902395699938372383747957910473528003624310334492804596047614884986904201305620281951965935402907592417914485297007387091785449785329621136487583550159673691160131009683304744413926652098182043575951260927103722949594822474321114185399038349106848032992591866376158555200147015583124519471833022018189430123621824454356246066666800691533760679859443792103402126616703341330770248188723664560118462010548883576867567150577154348663579148105728484026113510872974212472666899560735214113897926335202403545398023696720446273169262586885198447775036141414820357393823322647892255271193484254319600646}
30342  796249761193814831655293842705633669612345285369843860147890464887758614757886367994649: {576137,697337,879077,1030982,2149241,2209637,2304244,2511497,2692517,2847542,3054341,3153592,3547791,3758068,3957641,4123384,4198217,4298198,4638807,5003295,5219237,5336848,5459141,5577592,6003954,6274791,6716537,6895877,7015397,7031224,7194617,7429135,7552841,7910127,8112628,8149241,8275622,8277087,8506697,8914962,9399077,9561844,9853675,9933641,10420792,10586117,10613050,10763897,10797638,11474297,11672815,11723391,11733508,11824410,12094887,12596741,12612704,12735660,13584704,13671302,13775141,13833977,14007378,14189292,14304377,14398675,14656841,15104678,15161500,15184997,15282792,15347188,15368691,15595337,16178198,16224184,16675450,16893158,17193141,17278410,17607542,17874341,18036235,18193800,18232948,18252207,18398537,18430304,18630195,18678038,18953668,19406720,19561097,19872208,19967237,20010540,20087992,20468025,20734092,20778341,20798834,21009797,21344576,21643482,21673795,21832560,21992057,22356234,22457487,22511141,22598991,22741637,22856837,23288064,23949641,23990644,24012648,24397135,24561630,25073798,25325897,25675111,25766050,26008554,26199072,27014229,27039737,27321592,27548438,27579844,27666341,27901382,28007717,29013508,29276562,29473956,29596997,29712620,30016022,30219641,30445817,30736791,30919260,31071398,31670815,31912841,32980544,33489235,33579064,33598841,33935177,34853050,34930022,35333477,35629718,35655144,35982904,36678182,36678730,37103112,37171577,37282697,37776447,38004978,38281337,38336741,38618762,38777151,39229435,39671863,39995141,40112037,40163702,40187082,40305784,40480767,40766597,41426597,41741001,41823660,41864644,42446600,42469241,42797897,43235657,44014476,44600357,44611904,44709317,44803347,45199241,45344007,45417844,45525497,45710582,46163275,46339877,46387047,46502537,47075322,47499064,47672911,47752425,47781158,47978104,48074991,48502757,48664457,49256741,49310537,49502678,50188392,50189727,50380228,50533862,50920697,50935920,51402341,52249622,53436447,53481977,53619638,53721592,53975367,54331648,54384677,54622468,54645638,54677944,54861641,54914597,55169660,55222675,55328918,55337957,55395930,56011622,56042050,56111992,56431634,56461941,56499557,56674090,56848125,57302910,57375302,57545464,58077317,58149748,58339577,58933743,59088992,59348895,59416502,59647877,59749675,60117641,60378341,60436791,60638000,60899141,61040395,61123104,61367177,61512687,62054835,62509615,63026057,63125991,63305488,63800837,64159142,64624315,64738647,64779641,64834358,65354828,65550341,66191824,66203592,66267210,66475116,66575141,66610744,66779717,67035257,67250460,67647737,68008908,68106341,68217750,68564297,68688388,68763492,69180447,69209222,69544742,70591817,70685024,70692857,70844357,70885382,70894841,71218674,71600777,71699610,71706362,71733824,71902841,71953157,72309391,72355397,72765600,73248474,73751224,74226902,74358917,74465802,74479041,74907641,74937087,75011538,75193615,75405641,75892262,76479584,76557398,76894841,77142341,77191817,77549178,77616640,77932997,78267795,78623141,78813800,78880838,79066767,79520652,79943227,80616620,80677234,80700552,81817107,81861300,82357675,82970127,83177078,83249464,83485648,83507141,84027844,84039497,84184517,84671992,85480358,85967177,86039532,86108788,86130291,87318720,87494644,87507679,87776582,88072841,88665525,88879348,89054835,89214857,89299450,89571268,89973641,90232338,90683141,90788121,90954244,91343717,91390841,92320450,92666287,92753957,93035141,93081977,93139968,93195064,93364040,93655647,93921354,93973622,94200715,94576560,94623077,94902341,94991824,95255991,95320697,95703951,95785588,95877497,96571877,96739944,96987641,97214342,97264457,97633097,97860758,97921144,97955237,98162367,98233560,98506598,98598341,98781797,98829210,99151862,...,40213348228093485108607056595971914428020167095090012022389320401221890674233203221499964016573880659589275988368787561454122961284092390782486856090791678567732332028427982336044908817646512863342505508893657262065272860642782944047464318756454423772767421200552239620900500080386169368738550757557489626268385092627939621224323267724370509461085347401211042462182231521271344454643872646864221893666961672380499029274095890504588624294370134344041680622957128381521108383969320077427332359541685782075161968454239968892785541004207859849553594100306949729062417675871746950597542187892349229943022538667884240160909486425385691521277955379478936577229253068523563638982333615287393422058827414744835567659526519610813744056035578081084950690916497712927360932467637573891519169243379760026759048085627081496400234143733784858360664787769387882155175363891679982774499935268034422848279229866855431933183140146405433661640796942988032134836692651712599318235873850793556229976147875304687669404633844988606942388316854412376429389615825457672608995117533784553027671718942895424632986115593737371789441333685049983873338877903161065520742213739601903134988315214624245441538760476998263646908218771828396350465410452441754999266157555313570794389404889422382660629683454527825746113520133786824471371097143050864395424738896587854642885735211768412666976545983769454927604483743764720389248643373413601748033641976882277276105756237551313984899776872397039246578943835485200196253305905610816204054382652379215430298024040434148416196281049599238120147441389405785447830098852758051854873266185921966516022456089879299223722086699600464964514082578433503550268598561321419222507668354533165353971857255827220008339483365907629133659036958232940084572243197027140073964282514339468860345221098926232852404212171692914385858025484079884659803634659373796680681603928328205139253655865477641638833496014111085282564439223614003678045875826277372762508370502166464501376413371888471165019568116853755359784211195780289908952474822989239552726156811182827783972656839616733340715788117556353470749148339397897479734772554562605223157682064596866337977588263316979471184331187306675158535920243048349098773296864452188939279529280380986594321379242352889716281784429158018198040798670984431829479563990968077541047980669124804430736692640365398569533176664179529723196945539437595819503566624855080656835852420654638191662975471257095652203685838658659429099323704527585983643293885162093578093944593677727486221777685372060308583260996804760894875424784282535203782615151671383065581756631583101167481168479171265620552848872056524782699980266819983123241112406595684171224677337506196630096722599269588383050484978551527209248705011903274784450391033299366685132897813294101430231119192623863831309948307109451207142934165765010719682799237433316511757070624067246647187246150302049983482658645167514388453502589316411630642505509128538393258609282833593949959323059233874008252793392626165809630411546880443972363619104468621749887086274864406874752798176054902703436806037306362819946124530768945985412012618000311522368792196210017371146265549794392663252811638189407367854339928102913578116969803914822905827425506109024100102708009767411407262200121160868732789068548453389831980094818969235918515038152089365372943476149864724130680733896544661303991592101491161496816355235988522431898984509292126294542124165231876455712565541875972473363328860113904955556634871238754161160692942692953414715730599638530792157535543821350927480857543540750070354557030316799234234528466206897427833373635514827078245280294341533039057453553829134315232360086373269704765684848019317344135726064787946169496255095443061302071537944705446866476948303387916995479777221558383997390570657749688075990687181229953813421825297303268005075278284105542516369187010694193433379592007970668143992551099791540830666131537322651037013436938865385477018320959001128460468647339236558667065008201076450071660764569168277572638864912136881785017096487001758966558421899044484158907657893267376650679066718685236565713085683284364259203829345865486677478322310898254653001957701350614095135086980715007737558659731116047636549802142188044585613114493322952540853593549907558575621936865710292005436465501739206894071422327480356301958430422927948903104361388626871727945511080637678174677994431704731375325239510536740196514524957116620889978147273065363926891390655584424392233711481671278098557523660272049488887799564237832800220523374686779207749533027284145185432736681534369100000201037300641019789165688155103189925055011996155372283085496840177693015823325365301350725865731522995368722158592726039170266309461318709000349341102821170846889502803605318097035545080669409753893880327797671662554212122230536090734983971838382906790226381479400969}
30343  798710711273422298571108419389631940459763409353123298648844495639999515207911003733773: {60682,1546473,2759393,2880305,3456366,3607961,3941990,4271313,4335617,4669742,4697585,4730388,4880393,5154230,5637102,6152321,6185076,6335417,6447297,6671060,6699173,6971990,7337198,8005272,8366388,8789030,9005931,9061793,9118193,9789161,10140785,10546836,11036116,11337062,11886616,11952305,12168942,12413433,13025990,13372443,14196161,14342766,14570933,14666885,15335342,15631188,15765880,15919575,16126516,16196457,16980880,17388182,17517446,17576993,17600262,17736615,17842577,18676504,18919056,18951875,19103490,19183985,20280230,20311841,20377056,20491588,20506953,21011067,21283938,22657017,22742250,22791185,22924188,23020782,23037880,23217857,23692085,23906393,24003317,24258400,24267297,24297977,24336276,24658502,24840260,25013175,25109990,25339737,25917615,26289857,26411313,26680720,27290700,27349422,27645456,27929057,28017057,28430502,28857976,29110080,29381681,29808312,29943316,29988305,30015810,30131988,30482897,31050752,31101138,31198251,31485041,31928822,32016864,32465223,32748840,33382886,33534351,34151990,34465001,34474805,34678072,34932096,34988837,35267561,35985966,36018972,36237377,36266885,36842445,37140775,37543973,37610697,37747937,38474441,38649075,39012831,39035416,39291758,39298608,40348577,40620998,40811297,40982388,41225680,41322657,41369766,41438261,41561681,41852073,41973830,41980841,42040193,42453377,43520262,43914843,44210934,44568930,44978630,45024033,46378890,46432646,46607097,46619873,47006393,47264558,47540192,47690057,47843201,49097993,49470816,49715537,49865153,50130641,50352281,50368596,50382230,50673304,51702868,52279575,52330805,52395033,52620401,52920473,53058250,53346617,53444577,53482716,53517557,53582776,53974356,54093017,54548342,54947897,55017273,55018095,55332737,55392302,55654668,55764880,56772305,57007467,57917846,57928143,57997937,58284401,58460597,58685968,59211878,59326133,59373830,59737796,59972630,60245553,60280623,60458676,60961766,61141313,61849396,62735490,62767096,62796966,62975285,63669900,63985097,64020197,64099988,64532321,64863017,65445902,65961137,66021714,66560441,66917856,66919636,67151990,67427513,67914560,68126766,68278085,68347430,68565873,68962075,70139990,70612983,71144942,71248596,71331881,71671737,71931830,71967156,71984438,72687185,72843281,72865361,73030742,73049942,73857377,73861240,74087993,74254017,74835137,75282588,75490886,75570342,75613733,75632741,75738977,75797500,75800793,75829457,76403880,76721417,76943798,77170613,78374433,78576761,78578324,79131860,79771241,80429457,80521061,80582388,81497472,81545681,81693535,81933702,81968457,82016916,82122926,82616417,82739780,82754490,82993377,83093895,83117846,83263430,83385257,84017433,84063075,84167988,84387182,84647451,85011135,85340102,85681001,85860485,85954365,86062953,86318196,87224622,87746561,88271456,88356280,88633488,88833953,89124753,89667280,90240257,90678544,90957000,91163813,91684656,92189030,92240596,92814833,93016166,93408617,93492737,94268837,94590641,94958232,95582921,95599480,96238713,96488657,96818393,97020800,97251537,97664632,97892297,98032242,98517250,98866373,98933318,99287736,99305388,99400815,99712674,99916116,...,53617797637457980144809408794629219237360222793453349363185760534962520898977604295333285355431840879452367984491716748605497281712123187709982474787722238090309776037903976448059878423528683817790007345191543016087030480857043925396619091675272565030356561600736319494534000107181559158318067676743319501691180123503919494965764356965827345948113796534948056616242975361695125939525163529152295858222615563173998705698794520672784832392493512458722240830609504508694811178625760103236443146055581042766882624605653291857047388005610479799404792133742599638749890234495662600796722917189798973257363384890512320214545981900514255361703940505971915436305670758031418185309778153716524562745103219659780756879368692814418325408047437441446600921221996950569814576623516765188692225657839680035678730780836108661866978858311713144480886383692517176206900485188906643699333247024045897131038973155807242577577520195207244882187729257317376179782256868950132424314498467724741639968197167072916892539511793318142589851089139216501905852821100610230145326823378379404036895625257193899510648154124983162385921778246733311831118503870881420694322951652802537513317753619498993922051680635997684862544291695771195133953880603255673332354876740418094392519206519229843547506244606037100994818026845049099295161462857401152527232985195450472857180980282357883555968727978359273236805978325019627185664857831218135664044855969176369701474341650068418646533035829862718995438591780646933595004407874147754938739176869838953907064032053912197888261708066132317493529921852541047263773465137010735806497688247895955354696608119839065631629448932800619952685443437911338067024798081761892296676891139377553805295809674436293344452644487876838844878715944310586779429657596036186765285710019119291813793628131901643803205616228923885847810700645439846213071512879165062240908805237770940185671541153970188851777994685481447043419252298152004904061167768369830350011160669555286001835217829184628220026090822471673813045614927707053211936633097318986070301542414910437045296875786155644454287717490075137960998864452530529972979696739416806964210242752795821783970117684422639294912441583075566878047893657397798798364395819269585252372705707174648792428505656470519621709045905544024264054398227979242439306085321290770054730640892166405907648923520487198092710902218906039630929260719250127759338088833140107542447803227539517588883967295009460869604914451544879238799098272703447978191058513549458104125259458236969981629036913829413744777681329073014526500566379043380271710153535561844087442342175444134889974891305561687494070465162742033043599973689093310830988149875460912228299569783341595506795630132359451177400646638068702945664940015871033045933854711065822246843863751058801906974825590165151775079931076145934942857245554353347626243732316577755349009427498756328862916328200402733311310211526890019184604670119088548840856674012171384524344812377111458599945764078978498677670391190168221079507215395840591963151492139291495666516115033152542499670397568073203604582408049741817093261499374358594647216016824000415363158389594946689828195020733059190217670415517585876490472453237470551437489293071886430541103234008145365466803610679689881876349600161547824977052091397937853109306793091958981224686717536119153830591301533152965507574311862059548405322122801988215329088473647984696575865312679056168392722832220309168607616754055834629964484438480151873274075513161651672214880923923590604552954307466184707722876714058428467903307810058054333427139409373755732312312704621609196570444498180686436104327040392455377385409938071772179086976480115164359606354246464025756458847634753050594892661673460590748402762050592940595821969264404517222660639702962077845329854094210332917434654249574973271751229100396404357340100371045474056688492249347592257911172789343960890858656734799722054440888175383096868049351249251820513969357761278668171280624863118982078222753344268101933428881019425557703430185153216182509046689461982669011955411229198725978878543543857689835534238755624913648754284114244379152345605105794487315569971096414531006204002610268467485460180115974286676983411546308154730182066402856250726114150819324430603387804791399876744767495915820947056007248620668985609192095229769973808402611240563903931870805815184835828970594014774183570899570659242272975167100319347382320262019366609488827853304196364087151902521854207445899189644948642228370798076698213696065985183732752317110400294031166249038943666044036378860247243648908712492133333601383067521359718887584206804253233406682661540496377447329120236924021097767153735134301154308697327158296211456968052227021745948424945333799121470428227795852670404807090796047393440892546338525173770396895550072282829640714787646645295784510542386968508639201292}
30344  801179223257136978945128499486014927976712130854270150832275947748230804289700212243981: {91023,939703,1121359,1152274,1394674,1758154,2061964,2209783,3114823,4298482,4419274,4608488,4739359,4919503,5022994,5184549,5385034,5695084,5912985,6108682,6307184,6358063,7004613,7095582,7254823,7516136,7731345,7915282,8246768,8338825,8396434,8455653,8596396,9277614,9934303,10006590,10400789,10438474,10457985,10673696,10918282,11005797,11155184,11888959,12007908,12549582,13183545,13433074,13791754,13795145,13834903,14030794,14062448,14389234,14858270,15105682,15820254,16123423,16225256,16298482,16341941,16551244,16554174,17005593,17013394,17829924,18253413,18798154,19123688,19538985,19620463,19707350,19867282,19968583,20158145,20841584,21172234,21226100,21514149,21527794,21595276,21704863,22397359,22948594,23003013,23345630,23446782,23467016,23648820,24189774,25193482,25225408,25250729,25471320,25614485,26082273,26276169,26400393,26699359,27169408,27342604,27550282,27667954,28014756,28378584,28608754,28655235,28797350,29258959,29313682,30209356,30278263,30323000,30343313,30369994,30420345,30565584,30694376,30737382,31050325,31190674,31925907,31971343,32356396,32448368,32815183,33350900,33657223,33786316,34113375,34155989,34161583,34386282,34531173,34556820,35215084,35335903,35748682,36072470,36387600,36465896,36504414,36797074,36860608,36987753,37260390,37356076,37429145,37664985,37907336,38339383,38505559,38813440,39122194,39744416,39934474,40021080,40175984,40936050,41024133,41154583,41468184,41556682,41597668,42019594,42645753,42689152,43286964,43347590,43665120,43984114,44112703,44339141,44712468,44914974,45022282,45023715,45197982,45483274,45713674,46559983,46576128,46651707,46884929,47534359,47893233,47899282,47981288,48025296,48794270,49123260,49313983,49797823,49958959,50074329,50120023,50147596,50651794,51227985,51350222,51532100,52017108,52207303,52398144,53166559,53978949,54028458,54079474,54643184,54918463,54921209,55096876,55159688,55332682,55394743,55802764,56015434,56340713,56503543,58027016,58553124,58937637,58947912,59193994,59425240,60032044,60434743,60439282,60891634,60903463,60931497,61473582,61838520,62054649,62142796,62461183,62960745,63341630,63825682,64166359,64320943,64628585,65280393,65708959,65961088,66316401,66477559,66631063,66853395,66978470,67158128,67197682,67467945,67870354,69568335,69648969,69706100,69860044,70141783,70666954,70896837,70899943,71259436,71310288,71958343,71965808,73313959,73356364,73357460,73914583,74206224,74343154,74565394,74672245,74962903,75552894,75573345,76009956,76562674,76673482,77197423,77237524,77311745,77554302,78458870,78530359,79268359,79343726,79587375,79990282,80004559,80124985,80224074,80327404,80374164,80611568,80961534,81533194,81822513,82853194,83088453,83482002,83513263,83647320,83649545,83658559,83729288,84893200,84938482,85456553,85595794,86471314,86876769,87267559,87513461,88028952,88127023,88555783,88817817,89060745,89200714,89223808,89268943,89418634,89553703,89606694,89958945,90398482,90474041,90688014,90835688,91050994,91397623,91421164,91442649,92326550,92679754,92774094,93005074,93088903,94103235,94150644,94195449,94210663,94746875,94998128,95345822,95504850,95562316,95956208,96149982,96440359,96579103,96994903,97005514,97271743,97328914,98168853,98222905,98513482,98513959,98621074,98914825,99005356,99032571,...,80426696456186970217214113191943828856040334190180024044778640802443781348466406442999928033147761319178551976737575122908245922568184781564973712181583357135464664056855964672089817635293025726685011017787314524130545721285565888094928637512908847545534842401104479241801000160772338737477101515114979252536770185255879242448646535448741018922170694802422084924364463042542688909287745293728443787333923344760998058548191781009177248588740268688083361245914256763042216767938640154854664719083371564150323936908479937785571082008415719699107188200613899458124835351743493901195084375784698459886045077335768480321818972850771383042555910758957873154458506137047127277964667230574786844117654829489671135319053039221627488112071156162169901381832995425854721864935275147783038338486759520053518096171254162992800468287467569716721329575538775764310350727783359965548999870536068845696558459733710863866366280292810867323281593885976064269673385303425198636471747701587112459952295750609375338809267689977213884776633708824752858779231650915345217990235067569106055343437885790849265972231187474743578882667370099967746677755806322131041484427479203806269976630429248490883077520953996527293816437543656792700930820904883509998532315110627141588778809778844765321259366909055651492227040267573648942742194286101728790849477793175709285771470423536825333953091967538909855208967487529440778497286746827203496067283953764554552211512475102627969799553744794078493157887670970400392506611811221632408108765304758430860596048080868296832392562099198476240294882778811570895660197705516103709746532371843933032044912179758598447444173399200929929028165156867007100537197122642838445015336709066330707943714511654440016678966731815258267318073916465880169144486394054280147928565028678937720690442197852465704808424343385828771716050968159769319607269318747593361363207856656410278507311730955283277666992028222170565128878447228007356091751652554745525016741004332929002752826743776942330039136233707510719568422391560579817904949645978479105452313622365655567945313679233466681431576235112706941498296678795794959469545109125210446315364129193732675955176526633958942368662374613350317071840486096698197546593728904377878559058560761973188642758484705779432563568858316036396081597341968863658959127981936155082095961338249608861473385280730797139066353328359059446393891078875191639007133249710161313671704841309276383325950942514191304407371677317318858198647409055171967286587770324187156187889187355454972443555370744120617166521993609521789750849568565070407565230303342766131163513263166202334962336958342531241105697744113049565399960533639966246482224813191368342449354675012393260193445198539176766100969957103054418497410023806549568900782066598733370265795626588202860462238385247727662619896614218902414285868331530021439365598474866633023514141248134493294374492300604099966965317290335028776907005178632823261285011018257076786517218565667187899918646118467748016505586785252331619260823093760887944727238208937243499774172549728813749505596352109805406873612074612725639892249061537891970824025236000623044737584392420034742292531099588785326505623276378814735708679856205827156233939607829645811654851012218048200205416019534822814524400242321737465578137096906779663960189637938471837030076304178730745886952299729448261361467793089322607983184202982322993632710471977044863797969018584252589084248330463752911425131083751944946726657720227809911113269742477508322321385885385906829431461199277061584315071087642701854961715087081500140709114060633598468469056932413794855666747271029654156490560588683066078114907107658268630464720172746539409531369696038634688271452129575892338992510190886122604143075889410893732953896606775833990959554443116767994781141315499376151981374362459907626843650594606536010150556568211085032738374021388386866759184015941336287985102199583081661332263074645302074026873877730770954036641918002256920937294678473117334130016402152900143321529138336555145277729824273763570034192974003517933116843798088968317815315786534753301358133437370473131426171366568728518407658691730973354956644621796509306003915402701228190270173961430015475117319462232095273099604284376089171226228986645905081707187099815117151243873731420584010872931003478413788142844654960712603916860845855897806208722777253743455891022161275356349355988863409462750650479021073480393029049914233241779956294546130727853782781311168848784467422963342556197115047320544098977775599128475665600441046749373558415499066054568290370865473363068738200000402074601282039578331376310206379850110023992310744566170993680355386031646650730602701451731463045990737444317185452078340532618922637418000698682205642341693779005607210636194071090161338819507787760655595343325108424244461072181469967943676765813580452762958801938}
30345  803655320246043549806823377359990248549032462319089688110466433414672538139891316482694: {121364,1728411,2092011,2577455,2637231,3092946,3669083,4032427,5123911,5518786,5760610,6447723,6576619,6628911,6912732,7118855,7215922,7487311,7534491,7883980,8077551,8542626,8671234,9163023,9339484,9395170,9460776,9760786,10308460,10643373,10745495,10940827,11274204,11872923,12304642,12370152,12594651,12670834,12894594,13342120,13398346,13662143,13916421,13943980,14197099,14674396,15009885,15657711,16010544,16377423,16732776,16733227,17578060,18011862,18123586,18236386,18824373,19578322,20149611,20205431,20281570,20533639,20687631,20689055,21046191,21093672,21583851,22072232,22287405,22658523,22674124,23730381,23773232,23904610,24004903,24337884,24447723,24826866,24831261,25520091,26051980,26532625,26744886,26857579,26994095,28197231,28392322,28685532,28715791,29141866,29333770,29561025,29800923,30359807,30670684,31069831,31262376,31531760,31758351,31839150,31907659,32253032,32291691,32392914,33168919,33961760,34178255,34422891,34776364,35018445,35034892,35153986,35170173,35200524,35473230,35685154,36284661,36897911,37353008,37761695,37790223,37838112,37903750,38206980,38367970,38519707,40351243,40445495,40560460,40623682,40754112,40983176,41013906,41256647,41325423,41440999,41501931,41688625,41960911,41983627,42022134,42232895,42567876,42825991,42913131,43196025,43522523,43970523,44018855,45314034,45484500,45506879,45554991,45582370,45848376,46041564,46075760,46106073,46435714,46695095,46786011,47384170,47812786,48006634,48264727,48516800,48534594,48595954,48672552,49317004,49680520,50026350,50219980,50679474,50773639,51579423,51835230,51997085,52579714,52822626,53361440,53623023,54108705,54581400,54698844,54756621,55195611,55290912,55858114,55890585,55948891,56034114,56861004,57208423,57396383,57715952,58220160,58683291,58763362,59146411,59245303,59616624,59886632,59901711,59976610,60031620,60263976,60965794,61404075,62101504,62202276,62335023,62396502,62684495,62970082,63029391,63857644,63928111,64033728,64415125,64930446,65021385,65306879,65497680,65976171,66765772,67068702,67248719,67372461,67533423,67796973,68224911,68303980,68435383,68570511,68871095,68930002,68949610,69356144,69753455,69864192,69977674,70535122,71848923,71971932,72037944,72474754,72533770,73191405,73263127,73684890,74281550,74967439,75040055,75087946,75221394,75495874,75618751,75977691,76948882,77025333,77298150,77678495,77954071,78025662,78070832,78583516,78597216,79322143,79481227,79723867,80697154,81042687,81119211,81241996,81622594,81964776,82451360,82645314,82739532,82876522,82999023,83123362,83704146,83947660,83961682,84023151,84080386,84906754,85627079,86995403,87040524,87132625,87285991,87325055,87829686,88165399,88421868,88790991,89074295,89137860,89616631,89957260,89994127,90048066,90658923,91337451,91695455,91696825,92210373,92757780,92865292,93214194,93239746,94012786,94275103,94529116,95012445,95080384,95380114,95589319,95686402,95738523,96463723,96546905,97854839,98195986,98941632,98975231,99431074,99730306,...,120640044684280455325821169787915743284060501285270036067167961203665672022699609664499892049721641978767827965106362684362368883852277172347460568272375035703196996085283947008134726452939538590027516526680971786195818581928348832142392956269363271318302263601656718862701500241158508106215652272672468878805155277883818863672969803173111528383256042203633127386546694563814033363931617940592665681000885017141497087822287671513765872883110403032125041868871385144563325151907960232281997078625057346225485905362719906678356623012623579548660782300920849187187253027615240851792626563677047689829067616003652720482728459276157074563833866138436809731687759205570690916947000845862180266176482244234506702978579558832441232168106734243254852072749493138782082797402912721674557507730139280080277144256881244489200702431201354575081994363308163646465526091675039948323499805804103268544837689600566295799549420439216300984922390828964096404510077955137797954707621552380668689928443625914063008213901534965820827164950563237129288168847476373017826985352601353659083015156828686273898958346781212115368324001055149951620016633709483196562226641218805709404964945643872736324616281430994790940724656315485189051396231357325264997798472665940712383168214668267147981889050363583477238340560401360473414113291429152593186274216689763563928657205635305238000929637951308364782813451231294161167745930120240805244100925930646831828317268712653941954699330617191117739736831506455600588759917716832448612163147957137646290894072121302445248588843148797714360442324168217356343490296558274155564619798557765899548067368269637897671166260098801394893542247735300510650805795683964257667523005063599496061915571767481660025018450097722887400977110874698820253716729591081420221892847543018406581035663296778698557212636515078743157574076452239653979410903978121390042044811784984615417760967596432924916500488042333255847693317670842011034137627478832118287525111506499393504129240115665413495058704350561266079352633587340869726857424468967718658178470433548483351917970518850200022147364352669060412247445018193692439204317663687815669473046193790599013932764789950938413552993561920025475607760729145047296319890593356566817838587841142959782964137727058669148845353287474054594122396012953295488438691972904232623143942007374413292210077921096195708599529992538589169590836618312787458510699874565241970507557261963914574988926413771286956611057515975978287297971113582757950929881655486280734281833781033182458665333056116180925749782990414282684626274352847605611347845455014149196745269894749303502443505437513796861658546616169574348099940800459949369723337219787052513674032012518589890290167797808765149151454935654581627746115035709824353351173099898100055398693439882304290693357577871591493929844921328353621428802497295032159048397712299949535271211872201739941561738450906149950447975935502543165360507767949234891927516527385615179775827848500781849877969177701622024758380177878497428891234640641331917090857313405865249661258824593220624258394528164708110310418111919088459838373592306837956236037854000934567106376588630052113438796649383177989758434914568222103563019784308740734350909411744468717482276518327072300308124029302234221786600363482606198367205645360169495940284456907707755545114456268096118830428449594172392042201689633983911974776304473484490449065707965567295696953527876378883626372495695629367137696625627917420089986580341714866669904613716262483482078828078860244147191798915592376472606631464052782442572630622250211063671090950397702703585398620692283500120906544481234735840883024599117172360661487402945697080259119809114297054544057952032407178194363838508488765286329183906214613834116340599430844910163750986439331664675151992171711973249064227972061543689861440265475891909804015225834852316627549107561032082580300138776023912004431977653299374622491998394611967953111040310816596156431054962877003385381405942017709676001195024603229350214982293707504832717916594736410645355051289461005276899675265697133452476722973679802129952037200156055709697139257049853092777611488037596460032434966932694763959005873104051842285405260942145023212675979193348142909649406426564133756839343479968857622560780649722675726865810597130876016309396505217620682214266982441068905875291268783846709313084165880615183836533241913034524033983295114194125975718531610220589543574871349862669934441819196091780674171966753273176701134445013834295672570980816148466663398692713498400661570124060337623248599081852435556298210044603107300000603111901923059367497064465309569775165035988466116849256490520533079047469976095904052177597194568986106166475778178117510798928383956127001048023308463512540668508410815954291106635242008229261681640983393014987662636366691608272204951915515148720370679144438202907}
30346  806139025411389092924793158976783013893624363715477323174739219372432976436338435530567: {151705,182046,697429,1605529,1879406,2242718,2304548,2789348,3516308,4123928,4419566,4499353,4639419,6229646,6837013,7016329,7732873,8278179,8596964,8640915,8838548,9216976,9478718,9519193,9839006,9854975,10045988,10369098,10770068,10823883,11390168,11674355,11825970,12217364,12539413,12614368,12716126,12813939,12885575,13006851,13953493,14009226,14092755,14191164,14306293,14509646,14641179,15032272,15187033,15462690,15830564,16493536,16592473,16677650,16792868,16911306,17192792,17429975,17468533,17643529,18342995,18456963,18555228,19006251,19313203,19341891,19868606,20013180,20085913,20097519,20259829,20801578,20876948,20915970,21347392,21836564,21972575,22011594,22310368,22859929,23777918,23895433,24015816,25099164,25443829,26367090,26866148,27017793,27185379,27354579,27583508,27590290,27669806,27840853,28061588,28124896,28221403,28342655,28778468,28863829,29367483,29714329,29716540,29884213,30211364,30422355,30732553,31640508,32246846,32255029,32450512,32564975,32596964,32683882,33102488,33108348,34011186,34026788,34779529,35449993,35617429,35659848,35856915,35860279,36506826,37240299,37287829,37596308,38247376,38286613,38338355,39077970,39240926,39414700,39614293,39734564,39937166,40117329,40316290,40346603,41683168,42344468,42452200,42588483,42913333,43028298,43055588,43190552,43409726,43470455,43712799,43793615,44000655,44715529,44794718,45897188,46006026,46691260,46893564,46934032,47297640,47758725,48379548,48589371,48617353,50386964,50450816,50501458,50700575,50942640,51034933,51228970,52164546,52400803,52552338,52637653,52730979,52800786,53209845,53398718,53527731,54233173,54338816,54392329,54685208,55100564,55335908,56029512,56612953,56757168,56855625,57217508,57310470,57402613,57551955,57594700,57717973,58347829,58505113,58517918,58627364,60418712,60556526,60646000,60686626,60739988,60840690,60935523,61131168,61388752,61474764,61520859,61646255,62100650,62341499,62381348,62774975,62879833,63033201,63851814,63942686,64712792,64896736,65630366,66584479,66701800,66891529,67044853,67314446,67572632,67971051,68226750,68311978,68323166,68373555,68772564,69062346,69113640,69653571,70430168,70671806,70703029,71076255,71497364,71611093,71719179,72009951,72144940,72365833,72775200,72801891,72893931,72931792,73008828,73569673,73594148,73721216,73975506,74469529,74520780,74619253,74712152,74858290,75039525,75329970,75366793,75814672,76019211,76678766,77011118,77598613,77626880,77752845,78043033,78244388,78869571,79233939,79488832,79519753,79814233,79822055,79868948,80042160,80351968,80549173,81872100,82048266,82309166,82936368,83113364,83195336,83457215,83787171,84039188,84051171,85291506,85378304,85379975,86075893,86573928,86695180,86939029,87330240,87968228,88145043,88225406,88678282,89424936,89829948,89939593,89964915,90044564,90047430,90395964,90480019,90649333,90966548,91427348,91448691,93119966,93152256,93189493,93303414,93594753,93769858,94455123,94730329,95068718,95786466,95798564,95962576,96050592,96678793,96817429,97395669,97588540,97647733,98061913,98229395,98246520,98627966,99025813,99595646,99917918,...,160853392912373940434428226383887657712080668380360048089557281604887562696932812885999856066295522638357103953475150245816491845136369563129947424363166714270929328113711929344179635270586051453370022035574629048261091442571131776189857275025817695091069684802208958483602000321544677474954203030229958505073540370511758484897293070897482037844341389604844169848728926085085377818575490587456887574667846689521996117096383562018354497177480537376166722491828513526084433535877280309709329438166743128300647873816959875571142164016831439398214376401227798916249670703486987802390168751569396919772090154671536960643637945701542766085111821517915746308917012274094254555929334461149573688235309658979342270638106078443254976224142312324339802763665990851709443729870550295566076676973519040107036192342508325985600936574935139433442659151077551528620701455566719931097999741072137691393116919467421727732732560585621734646563187771952128539346770606850397272943495403174224919904591501218750677618535379954427769553267417649505717558463301830690435980470135138212110686875771581698531944462374949487157765334740199935493355511612644262082968854958407612539953260858496981766155041907993054587632875087313585401861641809767019997064630221254283177557619557689530642518733818111302984454080535147297885484388572203457581698955586351418571542940847073650667906183935077819710417934975058881556994573493654406992134567907529109104423024950205255939599107489588156986315775341940800785013223622443264816217530609516861721192096161736593664785124198396952480589765557623141791320395411032207419493064743687866064089824359517196894888346798401859858056330313734014201074394245285676890030673418132661415887429023308880033357933463630516534636147832931760338288972788108560295857130057357875441380884395704931409616848686771657543432101936319538639214538637495186722726415713312820557014623461910566555333984056444341130257756894456014712183503305109491050033482008665858005505653487553884660078272467415021439136844783121159635809899291956958210904627244731311135890627358466933362863152470225413882996593357591589918939090218250420892630728258387465351910353053267917884737324749226700634143680972193396395093187457808755757118117121523946377285516969411558865127137716632072792163194683937727317918255963872310164191922676499217722946770561461594278132706656718118892787782157750383278014266499420322627343409682618552766651901885028382608814743354634637716397294818110343934573175540648374312375778374710909944887110741488241234333043987219043579501699137130140815130460606685532262327026526332404669924673916685062482211395488226099130799921067279932492964449626382736684898709350024786520386890397078353532201939914206108836994820047613099137801564133197466740531591253176405720924476770495455325239793228437804828571736663060042878731196949733266047028282496268986588748984601208199933930634580670057553814010357265646522570022036514153573034437131334375799837292236935496033011173570504663238521646187521775889454476417874486999548345099457627499011192704219610813747224149225451279784498123075783941648050472001246089475168784840069484585062199177570653011246552757629471417359712411654312467879215659291623309702024436096400410832039069645629048800484643474931156274193813559327920379275876943674060152608357461491773904599458896522722935586178645215966368405964645987265420943954089727595938037168505178168496660927505822850262167503889893453315440455619822226539484955016644642771770771813658862922398554123168630142175285403709923430174163000281418228121267196936938113864827589711333494542059308312981121177366132156229814215316537260929440345493078819062739392077269376542904259151784677985020381772245208286151778821787465907793213551667981919108886233535989562282630998752303962748724919815253687301189213072020301113136422170065476748042776773733518368031882672575970204399166163322664526149290604148053747755461541908073283836004513841874589356946234668260032804305800286643058276673110290555459648547527140068385948007035866233687596177936635630631573069506602716266874740946262852342733137457036815317383461946709913289243593018612007830805402456380540347922860030950234638924464190546199208568752178342452457973291810163414374199630234302487747462841168021745862006956827576285689309921425207833721691711795612417445554507486911782044322550712698711977726818925501300958042146960786058099828466483559912589092261455707565562622337697568934845926685112394230094641088197955551198256951331200882093498747116830998132109136580741730946726137476400000804149202564079156662752620412759700220047984621489132341987360710772063293301461205402903462926091981474888634370904156681065237845274836001397364411284683387558011214421272388142180322677639015575521311190686650216848488922144362939935887353531627160905525917603876}
30347  808630361994794953144379355476047652594507498593860144067090643704136628745707274726120: {30347,242728,273069,2819109,2880685,3364077,3456822,3486685,3608437,4184022,4336189,4395385,5154910,5274462,5669653,6185892,6629349,7338166,7669189,8064854,8760457,9344469,9667933,9966397,10247822,10746205,11037572,11048185,11521220,11850037,12557485,12895446,13153238,13257822,13462585,13825464,14218077,14237710,14328589,14431844,14758509,14974622,15043693,15068982,15271705,15553647,15767960,16146169,16155102,17085252,17342468,17738955,18326046,18678968,18790340,18921552,19054297,19074189,19521572,19788205,20616920,20991085,21013839,21286746,21490990,21598909,21764469,21881654,22308253,22548408,23194035,23745846,24609284,24740304,25016475,25189302,25341668,25366959,25789188,26096185,26684240,26796692,27295705,27324286,27620989,27832842,27887960,28394198,28964677,29348792,29802909,30019770,30361813,31202367,31315422,31373955,31388953,32021088,32754846,33017391,33465552,33466454,33582685,33931549,34479385,35076985,35156120,35666877,35973085,36023724,36247172,36472772,36522613,36900349,37145675,37567189,37648746,37764205,37791733,39156644,39550635,40299222,40410862,40563140,40746205,41067278,41259373,41375262,41378110,41385435,41504709,42092382,42187344,42533485,43167702,44101933,44144464,44574810,45317046,45348248,45754633,45918073,46171213,46995385,47460762,47546464,47809220,47849557,48009806,48370269,48675768,48895446,49025823,49268375,49403149,49476493,49653732,49662522,49668205,51016779,51040182,51435709,51773149,52103960,52866373,52930585,53065250,53489772,53715158,53780857,53819485,53988190,54760239,54975637,55420453,56394462,56623693,56784644,57371064,57371485,57431582,57730069,58283732,58309093,58364075,58616955,58667540,58861389,59122050,59126053,59601846,59905749,60474435,60719614,61341368,61626397,62139662,62524752,62983705,63063520,63516702,63678300,63815318,64506064,64542447,64583382,64785828,65114589,65208277,65311213,65373133,65739769,65969893,66337838,66828877,67192077,67832089,67923520,68356510,68845782,68875705,69009039,69169885,69552728,70036890,70069784,70208029,70307972,70340346,70401048,70946460,71370308,71521885,71993375,72569322,72795919,73284205,73795822,73867189,74706016,75160333,75182173,75523390,75580446,75676224,75752187,75807500,75924985,76413960,76448473,76735940,76843455,77039414,77153989,77180857,77976685,78246819,78518389,78828507,79125013,79201179,80098077,80702486,80890990,81120920,81247364,81508224,81966352,82027812,82513294,82650846,82881998,83003862,83377250,83858293,83921822,83967254,84044268,84465790,84946969,85135752,85651982,85826262,85965705,86392050,87045046,87758293,87776877,87941046,88037710,88205437,89371705,90181175,90628068,90834789,90969000,91013758,91029939,91109982,91164740,91261035,91589773,91696752,91992685,92083128,92151520,92212146,92871428,93150975,93390190,93572022,93744733,94768340,95119237,95625572,95700853,95777721,95914029,96013268,96419533,96529454,97033600,97069188,97191908,97345104,97654837,97805485,97861333,98445549,98634008,98879497,99361040,99836185,...,241280089368560910651642339575831486568121002570540072134335922407331344045399219328999784099443283957535655930212725368724737767704554344694921136544750071406393992170567894016269452905879077180055033053361943572391637163856697664284785912538726542636604527203313437725403000482317016212431304545344937757610310555767637727345939606346223056766512084407266254773093389127628066727863235881185331362001770034282994175644575343027531745766220806064250083737742770289126650303815920464563994157250114692450971810725439813356713246025247159097321564601841698374374506055230481703585253127354095379658135232007305440965456918552314149127667732276873619463375518411141381833894001691724360532352964488469013405957159117664882464336213468486509704145498986277564165594805825443349115015460278560160554288513762488978401404862402709150163988726616327292931052183350079896646999611608206537089675379201132591599098840878432601969844781657928192809020155910275595909415243104761337379856887251828126016427803069931641654329901126474258576337694952746035653970705202707318166030313657372547797916693562424230736648002110299903240033267418966393124453282437611418809929891287745472649232562861989581881449312630970378102792462714650529995596945331881424766336429336534295963778100727166954476681120802720946828226582858305186372548433379527127857314411270610476001859275902616729565626902462588322335491860240481610488201851861293663656634537425307883909398661234382235479473663012911201177519835433664897224326295914275292581788144242604890497177686297595428720884648336434712686980593116548311129239597115531799096134736539275795342332520197602789787084495470601021301611591367928515335046010127198992123831143534963320050036900195445774801954221749397640507433459182162840443785695086036813162071326593557397114425273030157486315148152904479307958821807956242780084089623569969230835521935192865849833000976084666511695386635341684022068275254957664236575050223012998787008258480231330826990117408701122532158705267174681739453714848937935437316356940867096966703835941037700400044294728705338120824494890036387384878408635327375631338946092387581198027865529579901876827105987123840050951215521458290094592639781186713133635677175682285919565928275454117338297690706574948109188244792025906590976877383945808465246287884014748826584420155842192391417199059985077178339181673236625574917021399749130483941015114523927829149977852827542573913222115031951956574595942227165515901859763310972561468563667562066364917330666112232361851499565980828565369252548705695211222695690910028298393490539789498607004887010875027593723317093232339148696199881600919898739446674439574105027348064025037179780580335595617530298302909871309163255492230071419648706702346199796200110797386879764608581386715155743182987859689842656707242857604994590064318096795424599899070542423744403479883123476901812299900895951871005086330721015535898469783855033054771230359551655697001563699755938355403244049516760355756994857782469281282663834181714626811730499322517649186441248516789056329416220620836223838176919676747184613675912472075708001869134212753177260104226877593298766355979516869829136444207126039568617481468701818823488937434964553036654144600616248058604468443573200726965212396734411290720338991880568913815415511090228912536192237660856899188344784084403379267967823949552608946968980898131415931134591393907055752757767252744991391258734275393251255834840179973160683429733339809227432524966964157656157720488294383597831184752945213262928105564885145261244500422127342181900795405407170797241384567000241813088962469471681766049198234344721322974805891394160518239618228594109088115904064814356388727677016977530572658367812429227668232681198861689820327501972878663329350303984343423946498128455944123087379722880530951783819608030451669704633255098215122064165160600277552047824008863955306598749244983996789223935906222080621633192312862109925754006770762811884035419352002390049206458700429964587415009665435833189472821290710102578922010553799350531394266904953445947359604259904074400312111419394278514099706185555222976075192920064869933865389527918011746208103684570810521884290046425351958386696285819298812853128267513678686959937715245121561299445351453731621194261752032618793010435241364428533964882137811750582537567693418626168331761230367673066483826069048067966590228388251951437063220441179087149742699725339868883638392183561348343933506546353402268890027668591345141961632296933326797385426996801323140248120675246497198163704871112596420089206214600001206223803846118734994128930619139550330071976932233698512981041066158094939952191808104355194389137972212332951556356235021597856767912254002096046616927025081337016821631908582213270484016458523363281966786029975325272733383216544409903831030297440741358288876405814}
30348  811129353308469232720480143818504486168449335447929489536752823394224132850656163767367: {212387,303410,364092,879251,1242587,1394858,2391251,2693051,3211058,3235787,3758812,4138907,4485436,4559747,4609096,5040227,5185233,5400251,5578696,6276033,6358907,6897251,7032616,7196051,7554347,7732365,7733387,7911693,8247856,8329667,8839132,8998706,9278838,10113707,10766051,11007249,11654051,12008747,12097281,12459292,12599267,12894227,13674026,13796965,13954427,14032658,14401525,15371733,15465746,16344097,16556358,17193928,17281830,17469707,17677096,18039805,18052787,18433952,18751427,18957436,19038386,19343169,19678012,19709950,19729857,19886733,20087267,20091976,20738196,21303251,21356565,21540136,21647766,21678085,22461933,22515707,22603473,22780336,23348710,23487925,23651940,23954507,24232653,24241667,24401965,24434728,25078826,25228736,25432252,25627878,25680193,25771150,26013702,26817107,27045251,27489069,27558107,27842747,27906986,28018452,28185510,28382328,28612586,29019292,29282358,29603051,29942867,30064544,30374066,30761605,30791147,30925380,31073507,31661128,31677085,31930119,32088347,32236485,32651027,32822481,32987072,33184946,33355300,33495865,33585736,33822612,34385584,34446227,34859950,34937066,35005547,35287058,35452427,35618769,36685990,36913926,37110456,37457051,37783953,38012502,38344667,38510867,38626406,38683782,39679717,39737212,40026360,40171826,40195038,40499651,40519658,40986429,41270267,41600051,41603156,41749263,41753896,41819747,41831940,42591297,42694784,42752027,42971051,43572707,43673128,43945150,44023188,44118827,44620736,44882051,45029655,45308965,45590965,45719858,45915347,46512251,46973133,46999907,47555836,47682349,47790866,48031632,48674651,48945805,49132269,49267067,49804787,50198328,50199681,50703925,50770667,50887658,51092051,51413147,51680507,52214627,52734180,53280467,53673697,53732296,54035586,54077747,54370758,54709158,55167016,55180580,55339612,55681706,56123176,56249792,56442806,56473119,56616947,56669651,56685310,57459251,57556936,57722051,57727658,58509251,58734966,59428658,59433080,59761525,59768426,60078251,60286907,60422728,60448833,60616293,60844710,60858637,61311061,61465106,61600917,62062893,62067165,62884307,62936051,63138573,63246347,63281016,63659627,64433147,64493692,64510058,64751553,64901024,65129950,65193928,65367764,65718347,65820947,66204976,66216696,66589427,66862215,67975569,68022372,68053576,68273747,69559058,69675793,70151867,70404827,70607051,70859651,70899986,70980805,71061587,71191143,71234858,71319696,71713830,71720558,72014709,72371051,72854665,73013652,73324547,73334425,73343169,73574987,73625051,73676317,74480598,74493783,74575658,75192616,75422027,76316627,76494752,76560273,76573226,76676710,77060147,77604251,78155940,78481852,78640307,78829400,79228586,79469128,79597875,79874332,80016227,80234658,80555051,80572737,80632580,80693206,80982285,82311707,82506251,83234651,83366336,83670827,84203051,84591693,84686051,84688936,84904400,85176966,85360907,85826666,86056596,86111176,86130251,86147373,86304757,86381104,86819452,86940910,87376067,87425598,87587230,87884965,88001310,88235387,88568867,88683075,89212885,89402769,89431058,89589436,89993627,90703307,91079421,91364051,91794376,92012052,92962187,93196427,93209493,93243251,93382520,93787128,93868064,93944651,94595280,94597667,94759375,95063147,95275053,95517450,95620667,95722977,95919925,96686027,96759096,96875073,97009427,97147907,97178742,97234706,98620547,99506757,...,361920134052841365977463509363747229852181503855810108201503883610997016068098828993499676149164925936303483895319088053087106651556831517042381704817125107109590988255851841024404179358818615770082549580042915358587455745785046496427178868808089813954906790804970156588104500723475524318646956818017406636415465833651456591018909409519334585149768126610899382159640083691442100091794853821777997043002655051424491263466863014541297618649331209096375125606614155433689975455723880696845991235875172038676457716088159720035069869037870738645982346902762547561561759082845722555377879691031143069487202848010958161448185377828471223691501598415310429195063277616712072750841002537586540798529446732703520108935738676497323696504320202729764556218248479416346248392208738165023672523190417840240831432770643733467602107293604063725245983089924490939396578275025119844970499417412309805634513068801698887398648261317648902954767172486892289213530233865413393864122864657142006069785330877742189024641704604897462481494851689711387864506542429119053480956057804060977249045470486058821696875040343636346104972003165449854860049901128449589686679923656417128214894836931618208973848844292984372822173968946455567154188694071975794993395417997822137149504644004801443945667151090750431715021681204081420242339874287457779558822650069290691785971616905915714002788913853925094348440353693882483503237790360722415732302777791940495484951806137961825864097991851573353219210494519366801766279753150497345836489443871412938872682216363907335745766529446393143081326972504652069030470889674822466693859395673297698644202104808913693013498780296404184680626743205901531952417387051892773002569015190798488185746715302444980075055350293168662202931332624096460761150188773244260665678542629055219743106989890336095671637909545236229472722229356718961938232711934364170126134435354953846253282902789298774749501464126999767543079953012526033102412882436496354862575334519498180512387720346996240485176113051683798238057900762022609180572273406903155974535411300645450055753911556550600066442093058007181236742335054581077317612952991063447008419138581371797041798294369852815240658980685760076426823282187435141888959671780069700453515763523428879348892413181176007446536059862422163782367188038859886465316075918712697869431826022123239876630233763288587125798589977615767508772509854938362375532099623695725911522671785891743724966779241313860869833172547927934861893913340748273852789644966458842202845501343099547375995999168348542777249348971242848053878823058542816834043536365042447590235809684247910507330516312541390584975639848508723044299822401379848109170011659361157541022096037555769670870503393426295447454364806963744883238345107129473060053519299694300166196080319646912872080072733614774481789534763985060864286407491885096477145193136899848605813635616605219824685215352718449851343927806507629496081523303847704675782549582156845539327483545502345549633907533104866074275140533635492286673703921923995751272571940217595748983776473779661872775183584494124330931254335757265379515120776920513868708113562002803701319129765890156340316389948149533969275304743704666310689059352926222203052728235233406152446829554981216900924372087906702665359801090447818595101616936080508487820853370723123266635343368804288356491285348782517176126605068901951735924328913420453471347197123896701887090860583629136650879117487086888101413089876883752260269959741025144600009713841148787450446236484236580732441575396746777129417819894392158347327717891866750633191013272851193108110756195862076850500362719633443704207522649073797351517081984462208837091240777359427342891163632173856097221534583091515525466295858987551718643841502349021798292534730491252959317994994025455976515135919747192683916184631069584320796427675729412045677504556949882647322683096247740900416328071736013295932959898123867475995183835903859333120932449788469293164888631010156144217826053129028003585073809688050644946881122514498153749784209231936065153868383015830699025797091400357430168921039406389856111600468167129091417771149559278332834464112789380097304900798084291877017619312155526856215782826435069638027937580044428728948219279692401270518030439906572867682341949168027180597431791392628048928189515652862046642800947323206717625873806351540127939252497641845551509599725739103572101949885342582377927155594830661768630724614049588009803325457588275342022515900259819530103403335041502887017712942448445399990196078140495201984710372181012869745797245557306668894630133809321900001809335705769178102491193395928709325495107965398350547769471561599237142409928287712156532791583706958318499427334534352532396785151868381003144069925390537622005525232447862873319905726024687785044922950179044962987909100074824816614855746545446161112037433314608721}
30349  813636022735419923543707341830246557649868206538323307696474741772573731657053808894603: {60694,455115,485456,546138,2092287,4032959,4698515,4816587,4881359,5124587,5606795,5638218,5761370,6153539,6336671,6700499,6728154,6913644,6973370,7216874,8368044,8672378,8790770,9063587,9791099,10309820,10334687,10548924,11048915,11339306,11425739,12371784,13244159,13258698,13498059,13918257,14676332,15044687,15338378,15467459,15574115,16129708,16933787,17520914,17580479,18688938,18847619,19335866,19932794,20495644,20511039,21048987,21295979,21380387,21492410,22075144,22096370,22309727,23042440,23198619,23696795,23700074,24597515,24834537,25114970,25790892,25922745,26295071,26306476,26364299,26515644,26925170,27650928,27703487,28436154,28475420,28557579,28657178,28863688,29387519,29517018,29564925,29949244,30087386,30137964,30543410,31107294,31391027,31535920,31790315,32267147,32292338,32310204,32471649,32642987,33933791,34170504,34684936,35023065,35081771,35477910,36274115,36534659,36652092,37357936,37551419,37580680,37618239,37843104,38108594,38148378,38213987,38441817,38656725,39020553,39043144,39576410,40629779,40819391,41233840,41694125,41860479,41982170,42027678,42204767,42278265,42573492,42918879,42981980,43197818,43528938,43763308,43923537,44104847,44397587,44616506,45096816,45561099,45921107,46388070,46629119,47015759,47491692,48157979,48271139,49107779,49218568,49480608,49671515,49777419,50032950,50140607,50362319,50378604,50683336,50733918,50794787,51137531,51578376,52003945,52122587,52192370,52289925,52405599,52869887,52930587,53368480,53528171,53593384,54565979,54591410,54648572,55028985,55241978,55343711,55370889,55665684,55775920,56003219,56788396,57018753,57044687,57929354,57939609,58025673,58472219,58697584,58781579,59337899,59444795,59546879,59605818,60039540,60257739,60292557,60723626,60779487,61153439,61443359,62404734,62630844,62747910,62777906,64042176,65496899,65509692,65793539,65917725,65974271,66034782,66042299,66931104,66932908,67165370,67863098,68579787,68946587,68958770,68975725,69174515,69282131,69535487,70153970,70312240,71333754,71598287,71686299,71946170,72047448,72494344,72879839,72945544,73045226,73800698,74102819,74291350,75134378,75297492,75347279,75528410,75583466,75844571,76331487,77185979,77474627,77964419,78313288,79101270,79443107,79787147,80320079,80598444,80617115,80821724,81053379,81126280,81492410,81556137,81709705,82063737,82134556,82518746,82750524,82756220,82770870,83009418,83072027,83522559,83598299,84184764,84374688,84664209,85017299,85027965,85066970,85442411,86335404,86591487,86700947,87297587,88102449,88177187,88203866,88288928,88851659,89142987,89149620,89652639,90634092,90696496,91181987,91267065,91509266,91836146,92197659,92342426,93511379,93990770,94921524,95092928,95496971,95618440,95699114,96019612,96425987,96507839,96740538,96765087,96837839,97351536,97694925,97790892,98051646,98102315,98536750,98806298,98886059,98952986,99307464,99325044,99336410,99524339,99842915,...,482560178737121821303284679151662973136242005141080144268671844814662688090798438657999568198886567915071311860425450737449475535409108689389842273089500142812787984341135788032538905811758154360110066106723887144783274327713395328569571825077453085273209054406626875450806000964634032424862609090689875515220621111535275454691879212692446113533024168814532509546186778255256133455726471762370662724003540068565988351289150686055063491532441612128500167475485540578253300607631840929127988314500229384901943621450879626713426492050494318194643129203683396748749012110460963407170506254708190759316270464014610881930913837104628298255335464553747238926751036822282763667788003383448721064705928976938026811914318235329764928672426936973019408290997972555128331189611650886698230030920557120321108577027524977956802809724805418300327977453232654585862104366700159793293999223216413074179350758402265183198197681756865203939689563315856385618040311820551191818830486209522674759713774503656252032855606139863283308659802252948517152675389905492071307941410405414636332060627314745095595833387124848461473296004220599806480066534837932786248906564875222837619859782575490945298465125723979163762898625261940756205584925429301059991193890663762849532672858673068591927556201454333908953362241605441893656453165716610372745096866759054255714628822541220952003718551805233459131253804925176644670983720480963220976403703722587327313269074850615767818797322468764470958947326025822402355039670867329794448652591828550585163576288485209780994355372595190857441769296672869425373961186233096622258479194231063598192269473078551590684665040395205579574168990941202042603223182735857030670092020254397984247662287069926640100073800390891549603908443498795281014866918364325680887571390172073626324142653187114794228850546060314972630296305808958615917643615912485560168179247139938461671043870385731699666001952169333023390773270683368044136550509915328473150100446025997574016516960462661653980234817402245064317410534349363478907429697875870874632713881734193933407671882075400800088589457410676241648989780072774769756817270654751262677892184775162396055731059159803753654211974247680101902431042916580189185279562373426267271354351364571839131856550908234676595381413149896218376489584051813181953754767891616930492575768029497653168840311684384782834398119970154356678363346473251149834042799498260967882030229047855658299955705655085147826444230063903913149191884454331031803719526621945122937127335124132729834661332224464723702999131961657130738505097411390422445391381820056596786981079578997214009774021750055187446634186464678297392399763201839797478893348879148210054696128050074359561160671191235060596605819742618326510984460142839297413404692399592400221594773759529217162773430311486365975719379685313414485715209989180128636193590849199798141084847488806959766246953803624599801791903742010172661442031071796939567710066109542460719103311394003127399511876710806488099033520711513989715564938562565327668363429253623460998645035298372882497033578112658832441241672447676353839353494369227351824944151416003738268425506354520208453755186597532711959033739658272888414252079137234962937403637646977874869929106073308289201232496117208936887146401453930424793468822581440677983761137827630831022180457825072384475321713798376689568168806758535935647899105217893937961796262831862269182787814111505515534505489982782517468550786502511669680359946321366859466679618454865049933928315312315440976588767195662369505890426525856211129770290522489000844254684363801590810814341594482769134000483626177924938943363532098396468689442645949611782788321036479236457188218176231808129628712777455354033955061145316735624858455336465362397723379640655003945757326658700607968686847892996256911888246174759445761061903567639216060903339409266510196430244128330321200555104095648017727910613197498489967993578447871812444161243266384625724219851508013541525623768070838704004780098412917400859929174830019330871666378945642581420205157844021107598701062788533809906891894719208519808148800624222838788557028199412371110445952150385840129739867730779055836023492416207369141621043768580092850703916773392571638597625706256535027357373919875430490243122598890702907463242388523504065237586020870482728857067929764275623501165075135386837252336663522460735346132967652138096135933180456776503902874126440882358174299485399450679737767276784367122696687867013092706804537780055337182690283923264593866653594770853993602646280496241350492994396327409742225192840178412429200002412447607692237469988257861238279100660143953864467397025962082132316189879904383616208710388778275944424665903112712470043195713535824508004192093233854050162674033643263817164426540968032917046726563933572059950650545466766433088819807662060594881482716577752811628}
30350  816150393729668679163654176320113186386996588854039502556041007848855834217166307757417: {91041,424774,606820,728184,819207,939889,1121581,1303201,1758502,2391409,2485174,2789716,2934541,3296269,3838321,4199329,4782502,4920481,5386102,5460589,6359329,6422116,6471574,7256269,7517624,8277814,8457327,8642055,8970872,9119494,9218192,10080454,10092231,10114381,10370466,10460055,10800502,10825311,11003761,11157392,12552066,12717814,12887275,12954061,13008567,13186155,13794502,14065232,14392102,14543281,14895649,15108694,15464730,15466774,15823386,16302241,16495712,16659334,17008959,17678264,17997412,18345415,18557676,19315751,19888047,20162135,20227414,21015469,21532102,21882529,22014498,22228849,22747789,23007567,23308102,24017494,24194562,24300721,24918584,25198534,25255727,25619555,25788454,25847821,26281371,26704801,27348052,27593930,27908854,28033407,28065316,28413361,28803050,29003799,29899191,30349319,30454129,30743466,30931492,31132081,32238615,32688194,32883095,32990509,33112716,33144555,34162751,34168609,34387856,34563660,34939414,35343181,35354192,35550111,35594275,36079610,36105574,36347149,36867904,37436555,37502854,37515169,37672455,37914872,38076772,38513521,38686338,39356024,39419900,39459714,39773466,40174534,40183952,40387755,41163121,41328109,41476392,42481009,42606502,42654231,42713130,42809761,42985767,43066247,43080272,43295532,43356170,44275527,44347919,44449201,44923866,45031414,45131079,45206946,45429409,45560672,45815115,45918541,46569709,46660941,46697420,46732321,46894211,46975850,47303880,47706481,47909014,48438507,48465306,48483334,48516301,48803930,48869456,49324321,49969441,50130541,50157652,50291569,50457472,50774221,50864504,51255756,51360386,51416749,51542300,52027404,53216865,53337421,53634214,53727475,54090502,54704135,54978138,55116214,55685494,55813972,56036904,56351867,56371020,56673649,56764656,57162891,57222567,57225172,58038584,58093741,58564716,59206102,59364615,59885734,60129088,60134689,60748132,61523210,61582294,61850760,62147014,62940529,62973255,63041517,63250849,63322256,63354170,63432551,63715789,63827351,63860238,64025389,64176694,64334701,64472970,64796727,65293407,65302054,65644962,65974144,66369892,66645361,66710600,66798829,66924759,66991730,67171472,67645224,68310715,68524127,68771168,68787361,68892454,69582105,69701041,69719900,69874132,70011094,70574116,70904854,70915249,70985495,71066701,71237538,72577261,73371980,73630369,73827852,74080621,74220912,74914102,75049425,75128689,75567906,76025004,76100877,76322161,76689334,77021734,77252812,77367564,78288555,79359434,79474424,80052720,80343652,80390076,80903341,80999302,81039316,81887115,81972858,82344119,82540534,82862967,83200102,83206312,83498526,83507792,83639494,83663880,83666135,83676961,83967409,84692269,85182594,85389568,85504054,85942102,86894031,87072011,87145414,87346256,87890300,88046376,88237654,88289569,89241472,89408727,89431201,89715889,89764102,90059310,90617930,91085439,91181930,91417969,91439716,91830694,92969101,93024502,93250189,93607101,93946266,93999814,94121865,94166859,94231729,94371661,94651309,95111672,95364698,95581732,96063264,96600781,97155181,97349302,97891610,98264538,98534134,98811469,99052173,99373127,99609574,...,723840268105682731954927018727494459704363007711620216403007767221994032136197657986999352298329851872606967790638176106174213303113663034084763409634250214219181976511703682048808358717637231540165099160085830717174911491570092992854357737616179627909813581609940313176209001446951048637293913636034813272830931667302913182037818819038669170299536253221798764319280167382884200183589707643555994086005310102848982526933726029082595237298662418192750251213228310867379950911447761393691982471750344077352915432176319440070139738075741477291964693805525095123123518165691445110755759382062286138974405696021916322896370755656942447383003196830620858390126555233424145501682005075173081597058893465407040217871477352994647393008640405459529112436496958832692496784417476330047345046380835680481662865541287466935204214587208127450491966179848981878793156550050239689940998834824619611269026137603397774797296522635297805909534344973784578427060467730826787728245729314284012139570661755484378049283409209794924962989703379422775729013084858238106961912115608121954498090940972117643393750080687272692209944006330899709720099802256899179373359847312834256429789673863236417947697688585968745644347937892911134308377388143951589986790835995644274299009288009602887891334302181500863430043362408162840484679748574915559117645300138581383571943233811831428005577827707850188696880707387764967006475580721444831464605555583880990969903612275923651728195983703146706438420989038733603532559506300994691672978887742825877745364432727814671491533058892786286162653945009304138060941779349644933387718791346595397288404209617827386026997560592808369361253486411803063904834774103785546005138030381596976371493430604889960150110700586337324405862665248192921522300377546488521331357085258110439486213979780672191343275819090472458945444458713437923876465423868728340252268870709907692506565805578597549499002928253999535086159906025052066204825764872992709725150669038996361024775440693992480970352226103367596476115801524045218361144546813806311949070822601290900111507823113101200132884186116014362473484670109162154635225905982126894016838277162743594083596588739705630481317961371520152853646564374870283777919343560139400907031527046857758697784826362352014893072119724844327564734376077719772930632151837425395738863652044246479753260467526577174251597179955231535017545019709876724751064199247391451823045343571783487449933558482627721739666345095855869723787826681496547705579289932917684405691002686199094751991998336697085554498697942485696107757646117085633668087072730084895180471619368495821014661032625082781169951279697017446088599644802759696218340023318722315082044192075111539341741006786852590894908729613927489766476690214258946120107038599388600332392160639293825744160145467229548963579069527970121728572814983770192954290386273799697211627271233210439649370430705436899702687855613015258992163046607695409351565099164313691078654967091004691099267815066209732148550281067270984573347407843847991502545143880435191497967552947559323745550367168988248661862508671514530759030241553841027737416227124005607402638259531780312680632779896299067938550609487409332621378118705852444406105456470466812304893659109962433801848744175813405330719602180895637190203233872161016975641706741446246533270686737608576712982570697565034352253210137803903471848657826840906942694394247793403774181721167258273301758234974173776202826179753767504520539919482050289200019427682297574900892472968473161464883150793493554258835639788784316694655435783733501266382026545702386216221512391724153701000725439266887408415045298147594703034163968924417674182481554718854685782327264347712194443069166183031050932591717975103437287683004698043596585069460982505918635989988050911953030271839494385367832369262139168641592855351458824091355009113899765294645366192495481800832656143472026591865919796247734951990367671807718666241864899576938586329777262020312288435652106258056007170147619376101289893762245028996307499568418463872130307736766031661398051594182800714860337842078812779712223200936334258182835542299118556665668928225578760194609801596168583754035238624311053712431565652870139276055875160088857457896438559384802541036060879813145735364683898336054361194863582785256097856379031305724093285601894646413435251747612703080255878504995283691103019199451478207144203899770685164755854311189661323537261449228099176019606650915176550684045031800519639060206806670083005774035425884896890799980392156280990403969420744362025739491594491114613337789260267618643800003618671411538356204982386791857418650990215930796701095538943123198474284819856575424313065583167413916636998854669068705064793570303736762006288139850781075244011050464895725746639811452049375570089845900358089925975818200149649633229711493090892322224074866629217442}
30351  818672489816465228518691567933247911242794677079741909776077413312390113680644625789676: {121388,637161,758525,910230,970912,1092276,2637753,3487145,3727761,4184574,5670401,6577921,7173753,7488793,7849513,8027645,8065918,8079153,9397030,9633174,9707361,9762718,10249174,10942993,11213590,11276436,11522740,12213721,12307078,12416721,12673342,13400998,13456308,13679241,13827288,13946740,14433748,15120681,15468481,15555699,15661481,16200753,16736088,17344756,17581540,18127174,18828099,19076721,19582198,20619640,20669374,20691753,21097848,21114221,21588153,21803761,22097830,22496765,22663041,22678612,22851478,23197095,23200161,23640089,23735079,24743568,24989001,25476413,26366041,26488318,26517396,26996118,27836514,29352664,30089374,30341121,30676756,30934918,31075993,31148230,32259416,32298153,33021747,33175513,33867574,34185065,34436521,34962153,35041828,35081645,35084089,35160958,36026241,36291843,37377876,37695238,37797801,38133901,38664365,38671732,38682681,39865588,40991288,41022078,41075033,41390895,41863281,41969233,42097974,42591958,42760774,42984820,43204575,44150288,44192740,44506441,44619454,45409753,45515921,46084880,46115199,46397238,46523453,47393590,47400148,47595965,48161161,49032291,49195030,49274875,49669074,49878361,50229940,50783761,50882189,51581784,51845490,52409121,52590142,52612952,52728598,53031288,53850340,54119415,54158361,55301856,55406974,56254281,56872308,56950840,57115158,57219769,57314356,57727376,58029507,58371775,58775038,59034036,59129850,59189571,59257081,59387009,59660199,59898488,60174772,60261801,60275928,61086820,61599421,62214588,62591833,62697065,62782054,62835481,63071840,63580630,63909753,64069695,64427875,64534294,64584676,64620408,64943298,65034255,65285974,67262081,67385799,67547121,67810419,67867582,68281021,68341008,69369872,69540121,69767465,70046130,70163542,70328813,70463775,70955820,71531465,71863521,72548230,72697959,72725001,72805523,73069318,73205895,73304184,74060209,74715872,75102838,75161360,75192161,75236478,75686208,75935165,76217188,76296756,76427974,76883634,77040579,77313450,77969593,78041106,78086288,79152820,80451321,81135753,81259558,81638782,81680941,82467207,82467680,82674321,82962365,83075729,83222713,83388250,83528241,83720958,83964340,84055356,84409534,84556530,85146984,85837758,85963960,86395636,86589289,87057876,87124321,87149875,87342665,87526616,87847074,88209694,88217645,88703501,88795174,88809153,88980089,89233012,89634493,89828601,90193632,90880561,90983561,91122198,91714975,91842214,92284815,92373441,92776140,92912369,93220521,93258238,93433393,94031518,94293901,94983384,95031255,95790357,96265041,96315958,96542278,96566015,96709455,96841481,96844321,97953081,98215558,98437136,98467443,98961216,99343030,99554838,...,1085760402158524097932390528091241689556544511567430324604511650832991048204296486980499028447494777808910451685957264159261319954670494551127145114451375321328772964767555523073212538076455847310247648740128746075762367237355139489281536606424269441864720372414910469764313502170426572955940870454052219909246397500954369773056728228558003755449304379832698146478920251074326300275384561465333991129007965154273473790400589043623892855947993627289125376819842466301069926367171642090537973707625516116029373148264479160105209607113612215937947040708287642684685277248537167666133639073093429208461608544032874484344556133485413671074504795245931287585189832850136218252523007612759622395588340198110560326807216029491971089512960608189293668654745438249038745176626214495071017569571253520722494298311931200402806321880812191175737949269773472818189734825075359534911498252236929416903539206405096662195944783952946708864301517460676867640590701596240181592368593971426018209355992633226567073925113814692387444484555069134163593519627287357160442868173412182931747136411458176465090625121030909038314916009496349564580149703385348769060039770969251384644684510794854626921546532878953118466521906839366701462566082215927384980186253993466411448513932014404331837001453272251295145065043612244260727019622862373338676467950207872075357914850717747142008366741561775283045321061081647450509713371082167247196908333375821486454855418413885477592293975554720059657631483558100405298839259451492037509468331614238816618046649091722007237299588339179429243980917513956207091412669024467400081578187019893095932606314426741079040496340889212554041880229617704595857252161155678319007707045572395464557240145907334940225166050879505986608793997872289382283450566319732781997035627887165659229320969671008287014913728635708688418166688070156885814698135803092510378403306064861538759848708367896324248504392380999302629239859037578099307238647309489064587726003558494541537163161040988721455528339155051394714173702286067827541716820220709467923606233901936350167261734669651800199326279174021543710227005163743231952838858973190341025257415744115391125394883109558445721976942057280229280469846562305425666879015340209101360547290570286638046677239543528022339608179587266491347101564116579659395948227756138093608295478066369719629890701289865761377395769932847302526317529564815087126596298871087177734568015357675231174900337723941582609499517643783804585681740022244821558368934899376526608536504029298642127987997505045628331748046913728544161636469175628450502130609095127342770707429052743731521991548937624171754926919545526169132899467204139544327510034978083472623066288112667309012611510180278886342363094420891234649715035321388419180160557899082900498588240958940738616240218200844323445368604291955182592859222475655289431435579410699545817440906849815659474055646058155349554031783419522888488244569911543114027347648746470536617982450636507036648901722599314598222825421600906476860021111765771987253817715820652787246951329421338985618325550753482372992793763007271796138545362330761541606124340686008411103957389297670469020949169844448601907825914231113998932067178058778666609158184705700218457340488664943650702773116263720107996079403271343455785304850808241525463462560112169369799906030106412865069473856046347551528379815206705855207772986740261360414041591371690105661272581750887409952637352461260664304239269630651256780809879223075433800029141523446362351338709452709742197324726190240331388253459683176475041983153675600251899573039818553579324332268587586230551501088158900331112622567947221392054551245953386626511273722332078282028673490896521568291664603749274546576398887576962655155931524507047065394877604191473758877953984982076367929545407759241578051748553893208752962389283027188236137032513670849647941968049288743222701248984215208039887798879694371602427985551507711577999362797349365407879494665893030468432653478159387084010755221429064151934840643367543494461249352627695808195461605149047492097077391274201072290506763118219169568334801404501387274253313448677834998503392338368140291914702394252875631052857936466580568647348479305208914083812740133286186844657839077203811554091319719718603047025847504081541792295374177884146784568546958586139928402841969620152877621419054620383817757492925536654528799177217310716305849656027747133781466784491985305892173842148764029409976372764826026067547700779458590310210005124508661053138827345336199970588234421485605954131116543038609237391736671920006683890401427965700005428007117307534307473580187786127976485323896195051643308414684797711427229784863136469598374751120874955498282003603057597190355455605143009432209776171612866016575697343588619959717178074063355134768850537134888963727300224474449844567239636338483336112299943826163}
30352  821202334592502433287375963751444824795292556390110403970031736371808803620455154095184: {151735,182082,333751,849548,879367,1213640,1365345,1456368,1638414,1787287,1879778,2243162,2512327,2606402,3517004,4500247,4782818,4970348,5579432,5760751,5869082,6276861,6592538,7017727,7197007,7676642,7913407,8398658,8449951,8807287,9565004,9840962,10772204,10921178,12098877,12718658,12844232,12895951,12943148,14095545,14309167,14403425,14449761,14512538,14644077,15035248,15373761,16555628,16771207,16820385,16914654,17284110,17433425,17647087,17822047,17941744,18042185,18238988,18436384,18460617,19010013,20101497,20160908,20184462,20228762,20263927,20740932,20920110,21306127,21601004,21650622,21680945,21976925,22007522,22314784,24244951,25104132,25435628,25683581,25774550,25908122,26017134,26372310,27190761,27333967,27589004,27675751,28017247,28130464,28226989,28348265,28784204,29086562,29373297,29720407,29791298,29890327,30217388,30738847,30929460,30933548,31004061,31646772,32430487,32604482,32991424,33146745,33318668,33610351,34017918,34277217,35356528,35624767,35792167,35867377,35994824,36690830,37115352,37462207,38294527,38345945,38631502,39732477,39776094,39788167,40324270,40354589,40454828,40494177,41754771,41935351,42030938,42757951,43064204,43086487,43765058,43802285,44028996,44457698,44888287,45134061,45495578,46015134,46030351,46036333,46402377,46616204,46722345,48034988,48339665,48389124,48601442,48950887,49273951,49596727,49831985,49837168,50397068,50511454,50801361,51239110,51576908,51687751,51695642,52411177,52562742,52741437,53409602,53731025,53766607,54403807,54696104,55187860,55240925,55357447,55817708,56066814,56130632,56542857,56783047,56826722,57606100,58007598,58360207,58517527,59250185,59798382,60399751,60698638,60908258,61486932,61533117,61862984,62264162,62353841,62787425,63048487,63146961,63887937,64141161,64477230,65368327,65376388,65766190,65830351,65981018,66225432,66289110,66597661,66929181,67059247,67312925,67365751,68325502,68337218,68588887,68775712,69127320,69595857,69878828,70686362,70708384,70718287,70869847,71090385,71100222,71188550,71626567,71642945,72159220,72211148,72381487,72694298,73735807,73735808,73792545,74503611,74635447,74873110,75005708,75030338,75218465,75344910,75681751,75829744,76153544,76358525,76585789,77027042,77170351,77372676,77768235,78208087,78712048,78839800,78885213,78919428,79092897,79546932,79684447,80349068,80367904,80730845,80775510,82326242,82615567,82656218,82952784,83110461,84344381,84962018,85213004,85308462,85426260,85619522,85672737,85971534,86132494,86160544,86591064,86712340,87101887,88162557,88551054,88694775,88695838,88898402,89847732,90062828,90262158,90413892,90669487,90858818,90952951,91121344,91630230,91837082,92788447,93069751,93139418,93321882,93394840,93464642,93771751,93788422,93951700,94173081,94607760,94891207,95271485,95370945,95412962,95635001,95818028,96145087,96345953,96801441,96839167,96877014,96930612,96966668,97032602,97315777,97414947,97607860,97669687,97738912,97928961,97945951,98648642,98941025,99048127,99379693,99938882,...,1447680536211365463909854037454988919408726015423240432806015534443988064272395315973998704596659703745213935581276352212348426606227326068169526819268500428438363953023407364097616717435274463080330198320171661434349822983140185985708715475232359255819627163219880626352418002893902097274587827272069626545661863334605826364075637638077338340599072506443597528638560334765768400367179415287111988172010620205697965053867452058165190474597324836385500502426456621734759901822895522787383964943500688154705830864352638880140279476151482954583929387611050190246247036331382890221511518764124572277948811392043832645792741511313884894766006393661241716780253110466848291003364010150346163194117786930814080435742954705989294786017280810919058224872993917665384993568834952660094690092761671360963325731082574933870408429174416254900983932359697963757586313100100479379881997669649239222538052275206795549594593045270595611819068689947569156854120935461653575456491458628568024279141323510968756098566818419589849925979406758845551458026169716476213923824231216243908996181881944235286787500161374545384419888012661799419440199604513798358746719694625668512859579347726472835895395377171937491288695875785822268616754776287903179973581671991288548598018576019205775782668604363001726860086724816325680969359497149831118235290600277162767143886467623662856011155655415700377393761414775529934012951161442889662929211111167761981939807224551847303456391967406293412876841978077467207065119012601989383345957775485651755490728865455629342983066117785572572325307890018608276121883558699289866775437582693190794576808419235654772053995121185616738722506972823606127809669548207571092010276060763193952742986861209779920300221401172674648811725330496385843044600755092977042662714170516220878972427959561344382686551638180944917890888917426875847752930847737456680504537741419815385013131611157195098998005856507999070172319812050104132409651529745985419450301338077992722049550881387984961940704452206735192952231603048090436722289093627612623898141645202581800223015646226202400265768372232028724946969340218324309270451811964253788033676554325487188167193177479411260962635922743040305707293128749740567555838687120278801814063054093715517395569652724704029786144239449688655129468752155439545861264303674850791477727304088492959506520935053154348503194359910463070035090039419753449502128398494782903646090687143566974899867116965255443479332690191711739447575653362993095411158579865835368811382005372398189503983996673394171108997395884971392215515292234171267336174145460169790360943238736991642029322065250165562339902559394034892177199289605519392436680046637444630164088384150223078683482013573705181789817459227854979532953380428517892240214077198777200664784321278587651488320290934459097927158139055940243457145629967540385908580772547599394423254542466420879298740861410873799405375711226030517984326093215390818703130198328627382157309934182009382198535630132419464297100562134541969146694815687695983005090287760870382995935105895118647491100734337976497323725017343029061518060483107682055474832454248011214805276519063560625361265559792598135877101218974818665242756237411704888812210912940933624609787318219924867603697488351626810661439204361791274380406467744322033951283413482892493066541373475217153425965141395130068704506420275607806943697315653681813885388788495586807548363442334516546603516469948347552405652359507535009041079838964100578400038855364595149801784945936946322929766301586987108517671279577568633389310871567467002532764053091404772432443024783448307402001450878533774816830090596295189406068327937848835348364963109437709371564654528695424388886138332366062101865183435950206874575366009396087193170138921965011837271979976101823906060543678988770735664738524278337283185710702917648182710018227799530589290732384990963601665312286944053183731839592495469903980735343615437332483729799153877172659554524040624576871304212516112014340295238752202579787524490057992614999136836927744260615473532063322796103188365601429720675684157625559424446401872668516365671084598237113331337856451157520389219603192337167508070477248622107424863131305740278552111750320177714915792877118769605082072121759626291470729367796672108722389727165570512195712758062611448186571203789292826870503495225406160511757009990567382206038398902956414288407799541370329511708622379322647074522898456198352039213301830353101368090063601039278120413613340166011548070851769793781599960784312561980807938841488724051478983188982229226675578520535237287600007237342823076712409964773583714837301980431861593402191077886246396948569639713150848626131166334827833273997709338137410129587140607473524012576279701562150488022100929791451493279622904098751140179691800716179851951636400299299266459422986181784644448149733258434884}
30353  823739951726131990782233767222184828255599839646104065069972052406485068168556869718388: {242776,273123,1061935,1274322,1517050,1820460,1941824,2184552,2457621,2819667,3364743,3909603,4396255,4882003,5275506,6212935,6337507,6701383,6974290,7174227,7455522,7670707,8369148,8762191,8803623,9669847,9888807,11238703,11340802,11514963,11852383,11956255,12597987,13155842,13465255,14347506,14761443,14941351,14977586,15699026,16032403,16055290,16131836,16158306,16178935,16381767,18509023,18794060,19077987,19266348,19414722,19525436,20498348,20694535,21768807,21885986,22144183,22427180,22552872,22798735,23045480,23598247,23641651,24306007,24427442,24614156,24833442,25201135,25346684,25371981,25779343,25926165,26801996,26912616,27001255,27233407,27358482,27626467,27654576,27893480,27938287,28867496,29617687,30241362,30276693,30343143,30936962,31111398,31322962,31380165,31495471,31794535,32401506,32475933,33011283,33472176,33597751,34476391,34486255,34689512,35163080,35980255,36254348,37656198,37771735,38153442,38661825,38666935,38862183,39025701,39164396,39558465,41077747,41239280,41338748,41383506,41648335,42195696,42228442,42467407,42686983,43176306,43534051,43607522,43629843,44195660,44686947,44993530,45326082,45357224,45702956,46180387,46394190,46400322,46526527,47280178,47470158,47859091,48906723,49114303,49412947,49487136,49731967,49978002,50568535,50885551,50952826,51026877,52637791,52732082,52976636,53034792,53364247,53791543,53830255,53992236,54130111,55036245,55673028,57411607,57947253,58058383,58270255,58705328,59664141,60043735,60050551,60178748,60486405,60682242,61353512,61869836,61903327,62151986,62290927,62296460,62996335,63046407,64471135,64518832,64596306,65647587,65752807,66043494,66351026,66634351,66686547,66842131,67735148,68243367,68370130,68873042,68984825,69022701,69772135,69924306,70083656,70163290,70168178,70184647,70321916,71355511,72007625,72052482,72583686,72790087,72902163,73182007,73881907,74378803,74755752,75175267,75360223,75390476,75595602,75767181,75854647,76267802,76463671,76858665,77169367,77328730,77343464,77365362,77543463,78602791,78844113,79140787,79731176,80114403,81720485,81982576,82044156,82150066,82781790,83081251,83726562,83938466,84100221,84195948,85183916,85240083,85521548,85649791,85969640,86409150,87011397,87348535,87775891,88031551,88222963,88300576,88385480,88523167,88863463,89012882,89238908,89641651,89697573,90199025,90263935,90819506,91031842,91047957,91362387,92169760,92230398,92794476,93046906,93396243,93573667,93757135,94563607,94787180,94800296,95191930,96322322,96715845,97674451,98064582,98180407,98390060,98549750,98649285,98971527,99001447,99139207,99338148,99433665,99756722,...,2171520804317048195864781056182483379113089023134860649209023301665982096408592973960998056894989555617820903371914528318522639909340989102254290228902750642657545929535111046146425076152911694620495297480257492151524734474710278978563073212848538883729440744829820939528627004340853145911881740908104439818492795001908739546113456457116007510898608759665396292957840502148652600550769122930667982258015930308546947580801178087247785711895987254578250753639684932602139852734343284181075947415251032232058746296528958320210419214227224431875894081416575285369370554497074335332267278146186858416923217088065748968689112266970827342149009590491862575170379665700272436505046015225519244791176680396221120653614432058983942179025921216378587337309490876498077490353252428990142035139142507041444988596623862400805612643761624382351475898539546945636379469650150719069822996504473858833807078412810193324391889567905893417728603034921353735281181403192480363184737187942852036418711985266453134147850227629384774888969110138268327187039254574714320885736346824365863494272822916352930181250242061818076629832018992699129160299406770697538120079541938502769289369021589709253843093065757906236933043813678733402925132164431854769960372507986932822897027864028808663674002906544502590290130087224488521454039245724746677352935900415744150715829701435494284016733483123550566090642122163294901019426742164334494393816666751642972909710836827770955184587951109440119315262967116200810597678518902984075018936663228477633236093298183444014474599176678358858487961835027912414182825338048934800163156374039786191865212628853482158080992681778425108083760459235409191714504322311356638015414091144790929114480291814669880450332101759011973217587995744578764566901132639465563994071255774331318458641939342016574029827457271417376836333376140313771629396271606185020756806612129723077519697416735792648497008784761998605258479718075156198614477294618978129175452007116989083074326322081977442911056678310102789428347404572135655083433640441418935847212467803872700334523469339303600398652558348043087420454010327486463905677717946380682050514831488230782250789766219116891443953884114560458560939693124610851333758030680418202721094581140573276093354479087056044679216359174532982694203128233159318791896455512276187216590956132739439259781402579731522754791539865694605052635059129630174253192597742174355469136030715350462349800675447883165218999035287567609171363480044489643116737869798753053217073008058597284255975995010091256663496093827457088323272938351256901004261218190254685541414858105487463043983097875248343509853839091052338265798934408279088655020069956166945246132576225334618025223020360557772684726188841782469299430070642776838360321115798165800997176481917881477232480436401688646890737208583910365185718444951310578862871158821399091634881813699631318948111292116310699108063566839045776976489139823086228054695297492941073235964901273014073297803445198629196445650843201812953720042223531543974507635431641305574493902658842677971236651101506964745985587526014543592277090724661523083212248681372016822207914778595340938041898339688897203815651828462227997864134356117557333218316369411400436914680977329887301405546232527440215992158806542686911570609701616483050926925120224338739599812060212825730138947712092695103056759630413411710415545973480522720828083182743380211322545163501774819905274704922521328608478539261302513561619758446150867600058283046892724702677418905419484394649452380480662776506919366352950083966307351200503799146079637107158648664537175172461103002176317800662225245135894442784109102491906773253022547444664156564057346981793043136583329207498549093152797775153925310311863049014094130789755208382947517755907969964152735859090815518483156103497107786417505924778566054376472274065027341699295883936098577486445402497968430416079775597759388743204855971103015423155998725594698730815758989331786060936865306956318774168021510442858128303869681286735086988922498705255391616390923210298094984194154782548402144581013526236438339136669602809002774548506626897355669997006784676736280583829404788505751262105715872933161137294696958610417828167625480266572373689315678154407623108182639439437206094051695008163083584590748355768293569137093917172279856805683939240305755242838109240767635514985851073309057598354434621432611699312055494267562933568983970611784347684297528058819952745529652052135095401558917180620420010249017322106277654690672399941176468842971211908262233086077218474783473343840013367780802855931400010856014234615068614947160375572255952970647792390103286616829369595422854459569726272939196749502241749910996564007206115194380710911210286018864419552343225732033151394687177239919434356148126710269537701074269777927454600448948899689134479272676966672224599887652326}
30354  826285364957580784312386193799880920148240673933947297239093284764729018062073106111770: {212429,303470,364164,394433,667502,940013,1242833,1424429,1699096,1758734,1847873,1911483,2275575,2427280,2512493,2730690,2912736,3055553,3276828,3417233,3574574,3759556,3959213,4486324,4560653,4740929,5024654,5041229,5212804,5221313,5821073,7034008,7257233,7555853,7734929,7913259,7913933,8510093,9000494,9224429,9565636,9940696,10461435,11158864,11183283,11521502,11738164,12553722,12955793,13185076,14035454,14394014,14545229,14662733,15015053,15353284,15542993,15826814,16797316,16899902,17011203,17614574,17648273,17881553,18231233,18755213,19130008,19681924,19733763,20164795,20265293,20497133,21521259,21544408,21842356,22000973,22466379,22866113,23269229,23492575,23548539,24082935,24197754,24237459,24304013,24406795,24418829,25164353,25259059,25437316,25622935,25688464,25791902,25886296,25965713,26822573,28019153,28033975,28191090,28417229,28530893,28618334,28806850,28899522,29025076,29098733,29122083,29288154,29948993,30070496,30353323,30747522,30767695,30797453,31683355,32263853,32826413,32828979,33111256,33502495,33542414,33640770,33668753,33829308,33949133,34453313,34568220,34621229,34866850,35012753,35294174,35459729,35627213,35644094,35850413,35883488,36084370,36477976,36641163,36872768,36921234,37131329,37250163,37520333,38020026,38352593,38518829,39687571,40202994,40321816,40368924,40457524,40527854,41037723,41278829,41443793,41481864,41840220,41993153,42612254,42815693,42925229,43202008,43301244,43361890,43581773,43953850,44015044,44629568,45317935,45362043,45544493,46033553,46405443,46667097,46984443,47550929,47691787,47821229,48489902,48523073,48602259,48630929,48955495,49331213,49600193,49976429,50208264,50871256,50942093,51367162,51549100,51673435,51816244,52034268,52744620,53025473,53451329,53684323,54248429,54381522,54667934,55178008,55244575,55351502,55414253,56034494,56260928,56453978,56484297,56696530,56787053,57128695,57230163,57568408,58173124,58746594,59440814,59582596,59780654,60434776,60456173,60716753,61323199,61477694,61858920,61867096,62008122,62016653,62075259,63052973,63293544,63342663,63673229,63828113,64446929,64764459,64860974,65208964,65411283,65982848,65988929,66220795,66293490,66347693,66637336,66910673,67220702,67370573,67490295,67675531,67989123,68033729,68035836,68554434,69591285,69600483,69689587,69711053,69764779,70420013,70713056,70920267,70925453,71205237,71249534,71584334,71734754,71933933,71989648,72587729,72688193,73381660,73590929,73690903,73741133,74230704,74840429,74924414,74967003,75223435,76429239,76589054,76691890,77225453,77263004,77337295,77870575,79098123,79464954,79542929,79552188,79576334,80033729,80278829,80648540,80709178,80909656,80988354,81012929,82950259,83509542,83870702,84061876,84076493,84668935,85515902,86005133,86128408,86172974,87530116,87604570,87902395,88057992,88111853,88915396,89776574,89824013,90268122,90297773,90723473,90991156,91006913,91023363,91808429,92030268,92060702,92072666,92419793,92804754,93076673,93123533,93227979,93232408,93444690,93778733,94238095,94758593,94944833,95642093,96069976,96679330,96707729,96778248,96846413,96894459,97031213,97169729,97202884,97308173,97901774,97953293,97999313,98547902,99065241,99193454,99238829,99526539,99663970,99674336,99679723,...,3257281206475572293797171584273725068669633534702290973813534952498973144612889460941497085342484333426731355057871792477783959864011483653381435343354125963986318894302666569219637614229367541930742946220386238227287101712065418467844609819272808325594161117244731409292940506511279718867822611362156659727739192502863109319170184685674011266347913139498094439436760753222978900826153684396001973387023895462820421371201767130871678567843980881867376130459527398903209779101514926271613921122876548348088119444793437480315628821340836647813841122124862928054055831745611502998400917219280287625384825632098623453033668400456241013223514385737793862755569498550408654757569022838278867186765020594331680980421648088475913268538881824567881005964236314747116235529878643485213052708713760562167482894935793601208418965642436573527213847809320418454569204475226078604734494756710788250710617619215289986587834351858840126592904552382030602921772104788720544777105781914278054628067977899679701221775341444077162333453665207402490780558881862071481328604520236548795241409234374529395271875363092727114944748028489048693740449110156046307180119312907754153934053532384563880764639598636859355399565720518100104387698246647782154940558761980399234345541796043212995511004359816753885435195130836732782181058868587120016029403850623616226073744552153241426025100224685325849135963183244942351529140113246501741590725000127464459364566255241656432776881926664160178972894450674301215896517778354476112528404994842716449854139947275166021711898765017538287731942752541868621274238007073402200244734561059679287797818943280223237121489022667637662125640688853113787571756483467034957023121136717186393671720437722004820675498152638517959826381993616868146850351698959198345991106883661496977687962909013024861044741185907126065254500064210470657444094407409277531135209918194584616279546125103688972745513177142997907887719577112734297921715941928467193763178010675483624611489483122966164366585017465154184142521106858203482625150460662128403770818701705809050501785204008955400597978837522064631130681015491229695858516576919571023075772247232346173376184649328675337165930826171840687841409539686916277000637046020627304081641871710859914140031718630584067018824538761799474041304692349738978187844683268414280824886434199109158889672103869597284132187309798541907578952588694445261379788896613261533203704046073025693524701013171824747828498552931351413757045220066734464675106804698129579825609512087895926383963992515136884995244140741185632484909407526885351506391827285382028312122287158231194565974646812872515264780758636578507398698401612418632982530104934250417869198864338001927037834530540836659027089283262673703949145105964165257540481673697248701495764722876822215848720654602532970336105812875865547778577667426965868294306738232098637452322720549446978422166938174466048662095350258568665464733709734629342082042946239411609853947351909521109946705167797943794668476264802719430580063335297315961761453147461958361740853988264016956854976652260447118978381289021815388415636086992284624818373022058025233311872167893011407062847509533345805723477742693341996796201534176335999827474554117100655372021465994830952108319348791160323988238209814030367355914552424724576390387680336508109399718090319238595208421568139042654585139445620117565623318960220784081242124774115070316983817745252662229857912057383781992912717808891953770342429637669226301400087424570339087054016128358129226591974178570720994164760379049529425125949461026800755698719119455660737972996805762758691654503264476700993337867703841664176163653737860159879533821166996234846086020472689564704874993811247823639729196662730887965467794573521141196184632812574421276633861954946229103788636223277724734155245661679626258887167849081564708411097541012548943825904147866229668103746952645624119663396639083114807283956654523134733998088392048096223638483997679091405297960434478161252032265664287192455804521930102630483383748057883087424586384815447142476291232173822603216871520289354657508705004404213504161822759940346033504995510177015104420875744107182758626893158573809399741705942045437915626742251438220399858560533973517231611434662273959159155809141077542512244625376886122533652440353705640875758419785208525908860458632864257163861151453272478776609963586397531651932148917548968083241401344400353475955917676521526446292088229929118294478078202643102338375770930630015373525983159416482036008599911764703264456817862393349629115827712175210015760020051671204283897100016284021351922602922420740563358383929455971688585154929925244054393134281689354589409408795124253362624866494846010809172791571066366815429028296629328514838598049727092030765859879151534222190065404306551611404666891181900673423349533701718909015450008336899831478489}
30355  828838598099167882947193968864173900868992225597369923887346387212576615365208267037844: {455205,485552,546246,1001253,1486709,2123870,2548644,2638101,3034100,3640920,3883648,4096035,4369104,4699445,4915242,5361861,5607905,5639334,6154757,6516005,6729486,7489781,7536981,7819206,8698109,8792510,9065381,9764006,9793037,10336733,10551012,11428001,11957045,12334949,12425870,12675014,13246781,13402766,13500741,13948580,14348454,14672705,14911044,15341414,15971789,16481345,16699157,16738296,16738757,17282253,17524382,17607246,18830583,18851357,19191605,19339694,19777614,20996645,21053181,21591021,22477406,22650509,22681604,23029926,23704766,23740221,23912510,24307613,24602405,24749381,25195974,25349853,26311684,26421861,26930510,27302945,27940133,28695012,28725281,28972349,29111573,29522886,29882702,29955172,31398052,31796645,31918229,32064806,32110580,32263672,32316612,32357870,32649461,32763534,34263053,34478669,35002721,35281589,36281345,36296631,37018046,37588120,37801757,38155974,38532437,38532696,38687853,38829444,39050872,39706433,40637837,40996696,41389070,42286635,42470213,42927501,43210275,43349283,43537614,43771972,43932231,44288366,44512349,44854360,45105744,45597470,46090960,46121283,47196494,47283302,47708981,48280757,48612014,48854884,49228312,49666884,49735253,49867409,50313621,50372357,50402270,50461155,50571905,50693368,50743962,50804861,51449333,51558686,51852330,52132949,52300275,52641269,52880429,52941261,53367773,53466141,53603992,53825232,54002510,54114533,54126555,54133709,54466814,54576821,54716964,54969701,55018805,55252934,55309152,55381851,55786960,55876574,55967381,57030039,57734992,58307669,58793237,59235374,60304491,60482724,60553386,60686286,60791781,61873924,62222796,62645924,62760330,62990942,63589070,63918381,64045601,64436375,64770305,64803012,64888781,64951866,65042835,65225549,65930775,66022566,66055397,66586853,66944352,67195502,67850081,68952782,68960261,68972510,69379024,69938693,70326160,70795949,70968833,71960510,72508696,72716405,72734853,74478245,75312396,75362357,75543470,75662753,75769061,76306884,76751861,77050743,77323650,77333870,77490029,77724366,77810093,78051402,78328792,79116930,79750277,79803053,80553089,81511205,81572283,81578357,82001901,82155494,82478560,82677496,82767012,83027253,83296670,84051741,84061229,84391392,84456884,84680967,84934814,85044795,85373966,85459397,86352612,87068102,87215044,87259686,87314981,88119891,88194869,88391320,89161221,89373894,89646401,89670981,89987060,90259589,90276101,90511313,90652164,90714448,91200161,91405912,91727075,92216541,92325773,92360774,92788380,92800644,93012183,93053054,93530021,94560356,94628213,94940316,95228909,95718182,95726237,96578755,97291461,97680989,97769153,97813446,98186933,98228606,98825894,98974272,99440235,99463934,99956004,...,4343041608634096391729562112364966758226178046269721298418046603331964192817185947921996113789979111235641806743829056637045279818681978204508580457805501285315091859070222092292850152305823389240990594960514984303049468949420557957126146425697077767458881489659641879057254008681706291823763481816208879636985590003817479092226912914232015021797217519330792585915681004297305201101538245861335964516031860617093895161602356174495571423791974509156501507279369865204279705468686568362151894830502064464117492593057916640420838428454448863751788162833150570738741108994148670664534556292373716833846434176131497937378224533941654684298019180983725150340759331400544873010092030451038489582353360792442241307228864117967884358051842432757174674618981752996154980706504857980284070278285014082889977193247724801611225287523248764702951797079093891272758939300301438139645993008947717667614156825620386648783779135811786835457206069842707470562362806384960726369474375885704072837423970532906268295700455258769549777938220276536654374078509149428641771472693648731726988545645832705860362500484123636153259664037985398258320598813541395076240159083877005538578738043179418507686186131515812473866087627357466805850264328863709539920745015973865645794055728057617327348005813089005180580260174448977042908078491449493354705871800831488301431659402870988568033466966247101132181284244326589802038853484328668988787633333503285945819421673655541910369175902218880238630525934232401621195357037805968150037873326456955266472186596366888028949198353356717716975923670055824828365650676097869600326312748079572383730425257706964316161985363556850216167520918470818383429008644622713276030828182289581858228960583629339760900664203518023946435175991489157529133802265278931127988142511548662636917283878684033148059654914542834753672666752280627543258792543212370041513613224259446155039394833471585296994017569523997210516959436150312397228954589237956258350904014233978166148652644163954885822113356620205578856694809144271310166867280882837871694424935607745400669046938678607200797305116696086174840908020654972927811355435892761364101029662976461564501579532438233782887907768229120917121879386249221702667516061360836405442189162281146552186708958174112089358432718349065965388406256466318637583792911024552374433181912265478878519562805159463045509583079731389210105270118259260348506385195484348710938272061430700924699601350895766330437998070575135218342726960088979286233475739597506106434146016117194568511951990020182513326992187654914176646545876702513802008522436380509371082829716210974926087966195750496687019707678182104676531597868816558177310040139912333890492265152450669236050446040721115545369452377683564938598860141285553676720642231596331601994352963835762954464960872803377293781474417167820730371436889902621157725742317642798183269763627399262637896222584232621398216127133678091553952978279646172456109390594985882146471929802546028146595606890397258392891301686403625907440084447063087949015270863282611148987805317685355942473302203013929491971175052029087184554181449323046166424497362744033644415829557190681876083796679377794407631303656924455995728268712235114666436632738822800873829361954659774602811092465054880431984317613085373823141219403232966101853850240448677479199624120425651460277895424185390206113519260826823420831091946961045441656166365486760422645090327003549639810549409845042657216957078522605027123239516892301735200116566093785449405354837810838968789298904760961325553013838732705900167932614702401007598292159274214317297329074350344922206004352635601324450490271788885568218204983813546506045094889328313128114693963586086273166658414997098186305595550307850620623726098028188261579510416765895035511815939928305471718181631036966312206994215572835011849557132108752944548130054683398591767872197154972890804995936860832159551195518777486409711942206030846311997451189397461631517978663572121873730613912637548336043020885716256607739362573470173977844997410510783232781846420596189968388309565096804289162027052472876678273339205618005549097013253794711339994013569353472561167658809577011502524211431745866322274589393917220835656335250960533144747378631356308815246216365278878874412188103390016326167169181496711536587138274187834344559713611367878480611510485676218481535271029971702146618115196708869242865223398624110988535125867137967941223568695368595056117639905491059304104270190803117834361240840020498034644212555309381344799882352937685942423816524466172154436949566946687680026735561605711862800021712028469230137229894320751144511905941295584780206573233658739190845708919139452545878393499004483499821993128014412230388761421822420572037728839104686451464066302789374354479838868712296253420539075402148539555854909200897897799378268958545353933344449199775304652}
30356  831399675035522192618833731333821334921330643373015830145435156645064235010240333778073: {424858,606940,728328,788866,819369,1121803,1303459,1335004,1880026,2485666,2848858,2935123,3116059,3185805,3398192,3517468,3695746,3792625,3822966,4551150,4854560,5024986,5461380,5825472,6111106,6553656,6719659,6834466,7149148,7372863,7519112,7918426,8459001,8972648,9121306,9481858,10049308,10082458,10094229,10425608,10442626,11005963,11183659,11642146,11728809,11893723,12248323,13133563,13188765,14068016,14514466,14646009,15111706,15469858,15602659,15826518,15827866,17020186,17435725,18000988,18448858,18638805,19012521,19131272,19881392,19976659,20104149,20922870,21522681,21540283,22317728,22366566,22406443,22752403,23012121,23043004,23270803,23476328,24477883,25107444,25911586,26024659,26286573,26370152,26410869,27052603,28070908,28230713,28352005,28419163,28788028,29009541,29090458,29325466,29611123,29666421,30030106,30706568,31085986,31307803,31653628,31815403,32889605,33594632,33716109,33799804,34022406,34169513,34544889,35229148,35296546,35557149,35763106,35868765,35872109,36462466,37189483,37443965,37510426,37689523,37793961,38260016,39247565,39363848,39467526,40138225,40329590,40359913,40395765,40530586,40994266,41171659,41336683,41831323,42982963,43042518,43074773,43088816,43684712,44001946,44284329,44356697,44458459,44622043,44824053,44932758,45112363,45732226,45928123,46538458,46742083,46903493,46985150,47097078,47878603,48097209,48165870,48395508,48474918,48526459,48536805,48608026,48688243,48813590,48837658,49145301,50141059,50302123,50328706,50518118,50784883,50874632,50945659,51245870,51376928,51583804,51772592,51931426,53508283,53645146,54714965,55527069,56038306,56067950,56363021,56382180,56834458,57061786,57233961,57236668,57613700,57799044,58050152,58197466,58244166,58576308,59897986,60140992,60304003,60706646,61068605,61495044,61535390,61594906,62083605,63366710,63445109,63729403,64193803,64527706,65306421,65652826,65657958,66222512,66432549,66813163,67004990,67084828,67281540,67337506,67658616,67898266,68038603,68396205,68537693,68906626,68954659,69136440,69242458,69733700,70025506,70588348,70627363,70794741,70919458,70924953,71082043,71254426,71288188,71700826,71766976,71989459,72168740,72342809,72592963,72918021,72955952,73282326,73646323,73745536,73842468,74246659,74262658,74500326,75040666,75603405,76040052,76115943,76705186,77037658,77338029,77342405,77778495,78307405,79375142,79980173,80405988,80643632,80737848,80915048,81003765,81055708,81700221,82075446,82360421,82530403,82557658,82879401,82887586,82963728,83680440,83814861,83985883,83986306,85224508,85631386,85850458,86404016,86602488,86723780,87089249,87163546,87593083,87907700,88030088,88166059,88853061,89259136,89593459,90635870,90724086,90830079,91029429,91088986,92067106,92709113,92810886,93130459,93334194,93968886,94140495,94392763,94486413,95101858,95383574,95383605,95642458,96979804,97046146,97204518,97261858,97315459,97427799,97910990,98006659,98662426,98833723,99033849,99200386,99952858,...,6514562412951144587594343168547450137339267069404581947627069904997946289225778921882994170684968666853462710115743584955567919728022967306762870686708251927972637788605333138439275228458735083861485892440772476454574203424130836935689219638545616651188322234489462818585881013022559437735645222724313319455478385005726218638340369371348022532695826278996188878873521506445957801652307368792003946774047790925640842742403534261743357135687961763734752260919054797806419558203029852543227842245753096696176238889586874960631257642681673295627682244249725856108111663491223005996801834438560575250769651264197246906067336800912482026447028771475587725511138997100817309515138045676557734373530041188663361960843296176951826537077763649135762011928472629494232471059757286970426105417427521124334965789871587202416837931284873147054427695618640836909138408950452157209468989513421576501421235238430579973175668703717680253185809104764061205843544209577441089554211563828556109256135955799359402443550682888154324666907330414804981561117763724142962657209040473097590482818468749058790543750726185454229889496056978097387480898220312092614360238625815508307868107064769127761529279197273718710799131441036200208775396493295564309881117523960798468691083592086425991022008719633507770870390261673465564362117737174240032058807701247232452147489104306482852050200449370651698271926366489884703058280226493003483181450000254928918729132510483312865553763853328320357945788901348602431793035556708952225056809989685432899708279894550332043423797530035076575463885505083737242548476014146804400489469122119358575595637886560446474242978045335275324251281377706227575143512966934069914046242273434372787343440875444009641350996305277035919652763987233736293700703397918396691982213767322993955375925818026049722089482371814252130509000128420941314888188814818555062270419836389169232559092250207377945491026354285995815775439154225468595843431883856934387526356021350967249222978966245932328733170034930308368285042213716406965250300921324256807541637403411618101003570408017910801195957675044129262261362030982459391717033153839142046151544494464692346752369298657350674331861652343681375682819079373832554001274092041254608163283743421719828280063437261168134037649077523598948082609384699477956375689366536828561649772868398218317779344207739194568264374619597083815157905177388890522759577793226523066407408092146051387049402026343649495656997105862702827514090440133468929350213609396259159651219024175791852767927985030273769990488281482371264969818815053770703012783654570764056624244574316462389131949293625745030529561517273157014797396803224837265965060209868500835738397728676003854075669061081673318054178566525347407898290211928330515080963347394497402991529445753644431697441309205065940672211625751731095557155334853931736588613476464197274904645441098893956844333876348932097324190700517137330929467419469258684164085892478823219707894703819042219893410335595887589336952529605438861160126670594631923522906294923916723481707976528033913709953304520894237956762578043630776831272173984569249636746044116050466623744335786022814125695019066691611446955485386683993592403068352671999654949108234201310744042931989661904216638697582320647976476419628060734711829104849449152780775360673016218799436180638477190416843136278085309170278891240235131246637920441568162484249548230140633967635490505324459715824114767563985825435617783907540684859275338452602800174849140678174108032256716258453183948357141441988329520758099058850251898922053601511397438238911321475945993611525517383309006528953401986675735407683328352327307475720319759067642333992469692172040945379129409749987622495647279458393325461775930935589147042282392369265625148842553267723909892458207577272446555449468310491323359252517774335698163129416822195082025097887651808295732459336207493905291248239326793278166229614567913309046269467996176784096192447276967995358182810595920868956322504064531328574384911609043860205260966767496115766174849172769630894284952582464347645206433743040578709315017410008808427008323645519880692067009991020354030208841751488214365517253786317147618799483411884090875831253484502876440799717121067947034463222869324547918318311618282155085024489250753772245067304880707411281751516839570417051817720917265728514327722302906544957553219927172795063303864297835097936166482802688800706951911835353043052892584176459858236588956156405286204676751541861260030747051966318832964072017199823529406528913635724786699258231655424350420031520040103342408567794200032568042703845205844841481126716767858911943377170309859850488108786268563378709178818817590248506725249732989692021618345583142132733630858056593258657029677196099454184061531719758303068444380130808613103222809333782363801346846699067403437818030900016673799662956978}
30357  833968619723800760507467361357182951679569671543903868555078520749913300608469080108171: {637287,758675,910410,971104,1092492,1183299,1668755,2002506,2820039,2973418,3728499,4247740,4273287,4396835,5097288,5276202,5543619,5734449,6068200,6579223,6826725,7281840,7537479,7671719,7767296,7851067,8192070,8738208,8763347,8936435,9122407,9166659,9398890,9830484,10251699,10723722,10945159,11215810,11278668,11877639,12216139,12309514,12561635,13032010,13458972,13681959,14222787,14577667,14979562,15073962,15123687,15638412,15663939,16739863,17396218,17463219,17585020,17660819,17850823,18130762,19528012,19586074,20541787,20673466,21102024,21771699,22501235,22667559,22856002,23073883,23204787,23739777,23741799,23914090,24204107,24669898,24851740,25350028,25530279,26493562,26805532,26868247,27001482,27673287,27897160,28566299,28696908,28727179,28803755,29345410,29395303,29822088,30682828,31384305,31943578,32962690,33398314,33476592,33477514,33549849,34443367,34564506,35048764,35088635,35214492,35985035,36534683,37661166,37702714,38224123,38383210,38534983,38679388,38867379,39555228,39567035,40492699,41993290,42106362,42249755,43182042,43635687,43988199,44036435,44515303,44954812,45045159,45301018,45363208,45418759,46059852,46628979,47409532,47480442,47825020,48615226,49204810,49492883,49498762,50391948,50699706,50793883,51033609,51790259,52623368,52843722,52944819,53644659,53861020,54605890,54693699,55734163,55880266,55971079,56265639,57390024,57450562,57944698,58223146,58328363,59045772,59201289,59765404,59910344,60494385,60795879,61491399,61611667,62796104,62847943,63593290,63836458,63953539,64129612,64221160,64479755,64527344,64563777,64633224,64715740,65298922,65527068,66002919,67399137,68294563,68462539,68526106,68598339,68957338,69807687,70005442,70342787,70477725,70563178,70645617,70800667,71545835,72017125,72248805,72562690,72593262,72712377,72899143,72912039,73220385,73256487,74036092,74997187,75176240,75207143,75493059,75603514,75777177,76311948,76868805,77026327,77064874,77065392,77179619,77375706,77658888,77897139,78101744,79353619,79412866,80467719,81275674,81993392,82654819,82778140,83856035,84057459,84101925,84573270,84940426,85061603,85251687,85592679,85855002,86420550,86606503,86698566,87075228,87167125,87296199,87366249,87543944,87864462,88235435,88394443,88576732,89024698,89110235,89708720,89846979,90029923,90210925,90211488,90678427,91001639,91059969,91194940,91779923,92181920,92242566,92303085,92392359,94312699,94392988,94566604,94926499,95050065,95150747,95417962,96502039,96561514,96791559,97224028,97709768,98456624,98479239,98486937,99333768,99470506,99734818,...,9771843619426716881391514752821175206008900604106872921440604857496919433838668382824491256027453000280194065173615377433351879592034450960144306030062377891958956682907999707658912842688102625792228838661158714681861305136196255403533829457818424976782483351734194227878821519533839156603467834086469979183217577508589327957510554057022033799043739418494283318310282259668936702478461053188005920161071686388461264113605301392615035703531942645602128391378582196709629337304544778814841763368629645044264358334380312440946886464022509943441523366374588784162167495236834508995202751657840862876154476896295870359101005201368723039670543157213381588266708495651225964272707068514836601560295061782995042941264944265427739805616645473703643017892708944241348706589635930455639158126141281686502448684807380803625256896927309720581641543427961255363707613425678235814203484270132364752131852857645869959763503055576520379778713657146091808765316314366161634331317345742834163884203933699039103665326024332231487000360995622207472341676645586214443985813560709646385724227703123588185815626089278181344834244085467146081221347330468138921540357938723262461802160597153691642293918795910578066198697161554300313163094739943346464821676285941197703036625388129638986533013079450261656305585392510198346543176605761360048088211551870848678221233656459724278075300674055977547407889549734827054587420339739505224772175000382393378093698765724969298330645779992480536918683352022903647689553335063428337585214984528149349562419841825498065135696295052614863195828257625605863822714021220206600734203683179037863393456829840669711364467068002912986376922066559341362715269450401104871069363410151559181015161313166014462026494457915553879479145980850604440551055096877595037973320650984490933063888727039074583134223557721378195763500192631411972332283222227832593405629754583753848838638375311066918236539531428993723663158731338202893765147825785401581289534032026450873834468449368898493099755052395462552427563320574610447875451381986385211312456105117427151505355612026866201793936512566193893392043046473689087575549730758713069227316741697038520128553947986026011497792478515522063524228619060748831001911138061881912244925615132579742420095155891752201056473616285398422123914077049216934563534049805242842474659302597327476669016311608791852396561929395625722736857766083335784139366689839784599611112138219077080574103039515474243485495658794054241271135660200203394025320414094388739476828536263687779151891977545410654985732422223556897454728222580656054519175481856146084936366861474693583697923940438617545794342275909735522196095204837255898947590314802751253607596593014005781113503591622509977081267849788021111847435317892495772621445021091746104487294168630466647546161963807598911008317438627596643335733002280897604882920214696295912356968161648340935266500814523398145986286050775705996394201129203888026246128838718234829561842055728563329840115503393831384005428794408158291740190005891947885284359442385875085222561964792050870564929956781341356935143867065446165246908260976853874455119066174075699935616503679034221188542528600037417170433228080025990388604602529007999482423662351301966116064397984492856324958046373480971964714629442091102067743657274173729171163041009524328199154270957715785625264704417127963755418336860352696869956880662352243726374322345210950951453235757986689573736172151345978738153426675861311027288913007678904200262273711017261162048385074387679775922535712162982494281137148588275377848383080402267096157358366982213918990417288276074963509793430102980013603111524992528490961213580479638601463500988704538258061418068694114624981433743470919187589988192663896403383720563423588553898437723263829901585864838687311365908669833174202465736985038878776661503547244694125233292623037646831477712443598689004311240857936872358990189917249344421851869963569404201994265176144288670915451993037274215893881303434483756096796992861577367413565790307891450151244173649262273759154446341427428873696521467809650614560868063972526115013212640512485468279821038100514986530531045313262627232321548275880679475721428199225117826136313746880226754314661199575681601920551694834303986821877477467427423232627536733876130658367600957321061116922627275259355625577726581375898592771491583454359817436329829890759192594955796446752646904249724204033201060427867753029564579338876264689787354883434234607929307015127312791890046120577949478249446108025799735294109793370453587180048887347483136525630047280060155013612851691300048852064055767808767262221690075151788367915065755464789775732163179402845068063768228226385372760087874599484538032427518374713199100446287084889887985544515794149181276092297579637454602666570196212919654834214000673545702020270048601105156727046350025010699494435467}
30358  836545456193907734658431763112026261792408853750900756011814081353791601413684275997400: {333817,515797,849716,1213880,1365615,1456656,1577732,1638738,2243606,2606918,2670008,2693941,3003759,3760052,4460127,4971332,5309675,5697716,5870246,5941717,6232118,6371610,6796384,7034936,7198441,7391492,7585250,7645932,7914303,8093941,9102300,9344617,9709120,10049972,10413817,10922760,11650944,12222212,12288105,12898537,13107312,13439318,13668932,14098335,14298296,14312041,14664697,14745726,15038224,15545077,15836852,16085583,16823715,16918002,16949941,17825641,17945296,18242612,18350197,18464271,18963716,19048597,19548015,20098616,20164916,20188458,20851216,20885252,21981275,22011926,22367318,22469343,22610943,23284292,23457618,23787446,24249877,24410015,24422137,24496646,25282357,26094327,26267126,26377530,27196143,27339541,27852217,28136032,28534777,29028932,29292018,29379111,29896441,30223412,30236137,30939716,31010199,31064675,31084117,31205318,31653036,31655732,31687535,33506915,33617257,34040372,34284003,34871450,35799541,35871135,36001976,36897716,37004847,37277610,38025042,38262544,38353535,39692807,39740343,39762784,39953318,40208298,40502223,40789141,41845740,42931177,43045362,43080566,43259641,43810955,44018115,44635456,44733132,44812886,45504806,46024242,46045447,46086008,46202857,46541606,46952656,47698079,47915367,48349235,48637717,48955766,48961141,49444035,50097471,50214888,50216271,51056377,51698617,51823172,51846759,52049318,52421551,52573146,52740304,52821738,54105206,54946591,55369141,56141816,56193515,56461426,56491749,56554071,56704010,56838326,57574815,57576056,57742441,58019082,58180916,58529941,58650932,58844437,59222246,59261915,59332842,59781275,60060212,60099541,61413136,62129257,62171972,62366183,62615606,62989935,63159543,63307256,63630806,64773063,65536441,65779210,65998357,66610843,67189264,67326275,67380217,67432218,67533397,67599608,67951527,68044812,68145397,68339026,69089778,70430137,70458296,70593092,70885141,71114298,71220663,71526212,71642041,71737530,71744218,71944297,72397141,72698677,72922839,72924932,73601557,73807215,74248143,74378966,74706755,74887930,74951017,75020852,75379046,75587922,75698197,76049559,76520032,76592437,76600951,77632441,78495130,78727696,78935052,79112041,79265583,79849141,80162015,80276450,80290537,80659180,80719826,80791530,80894675,81061172,81908835,81988532,82343318,82673366,83662646,83820399,84361079,84958441,85496047,85965926,86085036,86113897,86149546,86175843,86177632,86917047,87334719,87369424,88003892,88124857,88568658,88713394,88916918,89244086,89267641,89648106,89865516,90224726,90405817,90973177,91464452,91822057,91856246,92545115,93076916,93231097,93484166,93806986,93970300,94194156,95331157,95389935,95754687,95757206,95888437,96194418,96331740,96365027,96791016,96949836,97052918,97073610,97216052,97335043,97376486,97627180,97675316,97691641,97948383,97967977,98106037,98290602,...,13029124825902289175188686337094900274678534138809163895254139809995892578451557843765988341369937333706925420231487169911135839456045934613525741373416503855945275577210666276878550456917470167722971784881544952909148406848261673871378439277091233302376644468978925637171762026045118875471290445448626638910956770011452437276680738742696045065391652557992377757747043012891915603304614737584007893548095581851281685484807068523486714271375923527469504521838109595612839116406059705086455684491506193392352477779173749921262515285363346591255364488499451712216223326982446011993603668877121150501539302528394493812134673601824964052894057542951175451022277994201634619030276091353115468747060082377326723921686592353903653074155527298271524023856945258988464942119514573940852210834855042248669931579743174404833675862569746294108855391237281673818276817900904314418937979026843153002842470476861159946351337407435360506371618209528122411687088419154882179108423127657112218512271911598718804887101365776308649333814660829609963122235527448285925314418080946195180965636937498117581087501452370908459778992113956194774961796440624185228720477251631016615736214129538255523058558394547437421598262882072400417550792986591128619762235047921596937382167184172851982044017439267015541740780523346931128724235474348480064117615402494464904294978208612965704100400898741303396543852732979769406116560452986006966362900000509857837458265020966625731107527706656640715891577802697204863586071113417904450113619979370865799416559789100664086847595060070153150927771010167474485096952028293608800978938244238717151191275773120892948485956090670550648502562755412455150287025933868139828092484546868745574686881750888019282701992610554071839305527974467472587401406795836793383964427534645987910751851636052099444178964743628504261018000256841882629776377629637110124540839672778338465118184500414755890982052708571991631550878308450937191686863767713868775052712042701934498445957932491864657466340069860616736570084427432813930500601842648513615083274806823236202007140816035821602391915350088258524522724061964918783434066307678284092303088988929384693504738597314701348663723304687362751365638158747665108002548184082509216326567486843439656560126874522336268075298155047197896165218769398955912751378733073657123299545736796436635558688415478389136528749239194167630315810354777781045519155586453046132814816184292102774098804052687298991313994211725405655028180880266937858700427218792518319302438048351583705535855970060547539980976562964742529939637630107541406025567309141528113248489148632924778263898587251490061059123034546314029594793606449674531930120419737001671476795457352007708151338122163346636108357133050694815796580423856661030161926694788994805983058891507288863394882618410131881344423251503462191114310669707863473177226952928394549809290882197787913688667752697864194648381401034274661858934838938517368328171784957646439415789407638084439786820671191775178673905059210877722320253341189263847045812589847833446963415953056067827419906609041788475913525156087261553662544347969138499273492088232100933247488671572045628251390038133383222893910970773367987184806136705343999309898216468402621488085863979323808433277395164641295952952839256121469423658209698898305561550721346032437598872361276954380833686272556170618340557782480470262493275840883136324968499096460281267935270981010648919431648229535127971650871235567815081369718550676905205600349698281356348216064513432516906367896714282883976659041516198117700503797844107203022794876477822642951891987223051034766618013057906803973351470815366656704654614951440639518135284667984939384344081890758258819499975244991294558916786650923551861871178294084564784738531250297685106535447819784916415154544893110898936620982646718505035548671396326258833644390164050195775303616591464918672414987810582496478653586556332459229135826618092538935992353568192384894553935990716365621191841737912645008129062657148769823218087720410521933534992231532349698345539261788569905164928695290412867486081157418630034820017616854016647291039761384134019982040708060417683502976428731034507572634295237598966823768181751662506969005752881599434242135894068926445738649095836636623236564310170048978501507544490134609761414822563503033679140834103635441834531457028655444605813089915106439854345590126607728595670195872332965605377601413903823670706086105785168352919716473177912312810572409353503083722520061494103932637665928144034399647058813057827271449573398516463310848700840063040080206684817135588400065136085407690411689682962253433535717823886754340619719700976217572537126757418357637635180497013450499465979384043236691166284265467261716113186517314059354392198908368123063439516606136888760261617226206445618667564727602693693398134806875636061800033347599325913956}
30359  839130208548713980786659953813397792153424419837437625053257030150002074038544944637212: {1062145,1274574,1517350,1820820,1942208,1972165,2184984,2336257,2366598,2458107,3337510,3365409,3910377,4005012,4700065,5640078,5946836,6155569,6214165,7122145,7456998,8495480,8546574,8793670,8805369,9066577,9239365,9348177,9557415,9671761,9794329,10194576,10552404,11087238,11377875,11468898,11854729,12136400,12511009,12562465,13158446,13653450,13668457,14563680,14944309,15074958,15277765,15343438,15534592,15702134,16035577,16384140,17086165,17476416,17526694,17586289,17872870,18244814,18333318,18797780,19660968,19796065,20158977,20214769,20503398,20871877,21447444,21890318,22118589,22431620,22557336,22803265,23704645,23755278,24432278,24619028,25123270,25206145,25377003,26064020,26106565,26303761,26917944,27051649,27363918,28445574,29105365,29155334,29623561,29959124,29959777,30147924,30247374,30282687,31276824,31327878,31501729,32504389,33017889,33479726,33550977,34792436,34926438,35170040,35186427,35321638,35593657,35681169,35701646,36261524,36286165,36537097,36744969,37563829,37779265,38674645,39056024,39172148,39400689,39566295,39569665,40325257,40832881,41083574,41346932,42204048,42550465,42695449,43543398,43938027,45002470,45335118,45527977,45712004,45772789,46122145,46147766,46409574,46644529,46807977,47479554,47483598,47828180,48408214,49124089,49339796,49703480,50157217,50379049,50700056,51060558,51793681,51923797,52307175,52987124,53545861,53611064,53736494,54002964,55346574,55362001,55393849,55442497,55794320,55916415,57037563,57132598,57393816,57454358,57607510,57752977,58332217,58491589,58690820,58790606,59149657,59357509,59402761,59644176,59929977,60312447,61173649,61365656,61651009,62303281,62768610,63887156,64568043,64620849,64778965,65925380,66796628,66953184,66955028,67099698,67219329,67279897,68257209,68886734,69036363,69129012,69812409,69947977,70097528,70177270,70428984,71369689,71970070,72726145,73069366,73196521,73313665,73433649,75075265,75322332,75375169,75405428,75869761,76448246,76766420,77069966,77358776,77714965,77734758,78052021,78073977,78549577,78618409,78859719,79110456,79134070,79156561,79232607,80985398,81157809,83097817,83891569,83986580,84212724,84499510,84692139,84980677,85056015,85067257,85257489,86364084,87028623,87271374,87976398,88072870,88241365,88727029,88833369,88881169,88999263,89030606,89407765,89909624,90090318,90271657,90602036,90726416,90837518,91156165,91212277,91626337,92119704,92805397,93257958,93776065,93781969,93923409,94819064,94960884,95446209,95650040,96539809,97230452,98409620,98668815,98985766,98997524,...,19543687238853433762783029505642350412017801208213745842881209714993838867677336765648982512054906000560388130347230754866703759184068901920288612060124755783917913365815999415317825685376205251584457677322317429363722610272392510807067658915636849953564966703468388455757643039067678313206935668172939958366435155017178655915021108114044067598087478836988566636620564519337873404956922106376011840322143372776922528227210602785230071407063885291204256782757164393419258674609089557629683526737259290088528716668760624881893772928045019886883046732749177568324334990473669017990405503315681725752308953792591740718202010402737446079341086314426763176533416991302451928545414137029673203120590123565990085882529888530855479611233290947407286035785417888482697413179271860911278316252282563373004897369614761607250513793854619441163283086855922510727415226851356471628406968540264729504263705715291739919527006111153040759557427314292183617530632628732323268662634691485668327768407867398078207330652048664462974000721991244414944683353291172428887971627121419292771448455406247176371631252178556362689668488170934292162442694660936277843080715877446524923604321194307383284587837591821156132397394323108600626326189479886692929643352571882395406073250776259277973066026158900523312611170785020396693086353211522720096176423103741697356442467312919448556150601348111955094815779099469654109174840679479010449544350000764786756187397531449938596661291559984961073837366704045807295379106670126856675170429969056298699124839683650996130271392590105229726391656515251211727645428042440413201468407366358075726786913659681339422728934136005825972753844133118682725430538900802209742138726820303118362030322626332028924052988915831107758958291961701208881102110193755190075946641301968981866127777454078149166268447115442756391527000385262823944664566444455665186811259509167507697677276750622133836473079062857987447326317462676405787530295651570803162579068064052901747668936898737796986199510104790925104855126641149220895750902763972770422624912210234854303010711224053732403587873025132387786784086092947378175151099461517426138454633483394077040257107895972052022995584957031044127048457238121497662003822276123763824489851230265159484840190311783504402112947232570796844247828154098433869127068099610485684949318605194654953338032623217583704793123858791251445473715532166671568278733379679569199222224276438154161148206079030948486970991317588108482542271320400406788050640828188777478953657072527375558303783955090821309971464844447113794909456445161312109038350963712292169872733722949387167395847880877235091588684551819471044392190409674511797895180629605502507215193186028011562227007183245019954162535699576042223694870635784991545242890042183492208974588337260933295092323927615197822016634877255193286671466004561795209765840429392591824713936323296681870533001629046796291972572101551411992788402258407776052492257677436469659123684111457126659680231006787662768010857588816316583480380011783895770568718884771750170445123929584101741129859913562682713870287734130892330493816521953707748910238132348151399871233007358068442377085057200074834340866456160051980777209205058015998964847324702603932232128795968985712649916092746961943929429258884182204135487314548347458342326082019048656398308541915431571250529408834255927510836673720705393739913761324704487452748644690421901902906471515973379147472344302691957476306853351722622054577826015357808400524547422034522324096770148775359551845071424325964988562274297176550755696766160804534192314716733964427837980834576552149927019586860205960027206223049985056981922427160959277202927001977409076516122836137388229249962867486941838375179976385327792806767441126847177107796875446527659803171729677374622731817339666348404931473970077757553323007094489388250466585246075293662955424887197378008622481715873744717980379834498688843703739927138808403988530352288577341830903986074548431787762606868967512193593985723154734827131580615782900302488347298524547518308892682854857747393042935619301229121736127945052230026425281024970936559642076201029973061062090626525254464643096551761358951442856398450235652272627493760453508629322399151363203841103389668607973643754954934854846465255073467752261316735201914642122233845254550518711251155453162751797185542983166908719634872659659781518385189911592893505293808499448408066402120855735506059129158677752529379574709766868469215858614030254625583780092241155898956498892216051599470588219586740907174360097774694966273051260094560120310027225703382600097704128111535617534524443380150303576735830131510929579551464326358805690136127536456452770745520175749198969076064855036749426398200892574169779775971089031588298362552184595159274909205333140392425839309668428001347091404040540097202210313454092700050021398988870934}
30360  841722900964277358229344687378627073442731039153994131988961538726260055177864525618235: {394511,576479,667634,1031594,1121951,1243079,1424711,1606271,1699432,1911861,2029631,2276025,2427760,2694119,2731230,2913312,3056159,3155464,3237071,3277476,3549897,4140551,4487212,4501439,4741871,4922111,5006265,5213836,5222351,5340016,5387882,5402399,5762279,6002039,6007518,6720551,6840191,7258679,7433545,7520104,7557359,7736471,7915511,8094479,8154119,8460117,8920254,9404711,9939599,9942664,10414511,10473839,10619350,11185497,11395432,11740492,11883434,12013559,12464236,12743220,12819861,12958391,13135319,13190505,13253231,13592768,14069872,14312999,14396882,14548151,14782984,15170500,15194159,15291864,15604751,15828606,16132079,16187882,16600271,16630857,17009519,17203347,17826839,17885159,18060071,18204600,18409679,18689234,19108031,19418240,19737669,20095391,20099944,20480175,20501279,20827634,21311879,21543191,21845520,22524839,22612437,22870751,23015157,23273951,23301888,23497225,23553201,24308951,24444424,24481199,24576210,25341359,25797074,25856591,26142551,26214624,26290041,26713871,26809305,26878636,27337864,27367221,27499977,27569351,28039525,28196670,28536719,28596592,28624082,28707191,29274911,29329394,29491452,29728511,29955119,30076448,30294791,30747239,30755097,30773785,31090154,31142711,31673704,31932479,32171166,32439359,32580025,32664431,32835477,33001799,33619559,33647430,33675671,33836004,33899882,34174021,34460399,34628351,34796231,35355311,35632917,35634551,35651282,35801999,35857799,35890592,36025151,36485224,36638159,36648417,36700394,36928542,37305791,37448905,37684905,37694711,37805759,37927432,38097194,38526791,39096030,40019999,40197232,40329832,40376916,40516439,41045877,41287391,41452391,41617319,41702432,41770504,41946959,42166559,42668361,42769799,42988919,43098431,43490545,43733001,43918751,43962550,44023852,44362549,44464631,44734636,44737271,44938686,45118631,45221886,45227519,45326905,45371061,46043159,46206071,46260359,46568584,46909681,46915236,46991817,47019551,47560871,47574892,47723111,48499754,48641111,48695039,48820030,48844274,48965185,48993292,49610591,49825679,50148071,50219589,50564714,51059951,51113519,51434759,51683665,51702239,52022951,52188654,52389657,52534252,52663511,52755060,52982457,53036639,53196431,53552469,53694949,54392286,54419111,54679082,54896399,55373039,55425959,55704434,56007551,56272064,56370457,57009839,57069554,57140005,58057864,58114271,58376711,58584036,58758222,58848599,58900991,59785225,59792882,60155999,60416879,60446824,60472274,61335337,61406399,61625361,61674745,61879432,62020398,62129350,62168234,62410636,62911151,63273359,63306072,63311464,63375070,63841751,64769759,65315097,65386991,65592479,66233905,66515591,66925031,67013830,67078439,67234514,67503705,67538231,67688929,68002677,68080744,68150279,68568006,68608559,68812031,69066191,69221649,69614361,69703381,69742900,70738631,70940759,71092271,71219331,71225397,71599082,71742270,71999831,72003952,72402359,72603431,72612321,72703919,73363525,73656959,73705489,73757111,73795432,73957319,74009694,74357351,74555220,74856671,75006311,75404999,75902639,76050084,76525088,76590837,76597991,76707070,77638079,77983991,78428159,78670921,79117799,79385614,79480686,79525568,79707671,79858945,79906636,80416596,80604741,80932871,81004446,81177311,81578282,82055639,82406725,82639751,82966681,83019861,83495785,83562239,83691480,83693785,83998199,84094991,84240119,84964679,85012919,85698897,85862354,86024111,86090724,86161132,86168279,86181537,86411265,86456399,86519282,87319031,87621910,88036230,88131359,88179071,88185909,88274471,89270912,89274239,89321759,89466264,89625772,89986199,90317831,91009612,91027151,91828871,91970111,92048484,92090894,92172016,92405714,92440391,93003671,93083212,93238031,93284879,93905312,93986639,94152915,94256785,94266839,94639991,94919519,95105711,95384759,95396158,95830734,95941991,95958025,96698470,96868151,97052999,97191551,97275434,97330031,97698959,97911532,97922282,98021351,98113391,98435279,98888070,99077879,99261191,99398591,99699457,...,29315530858280150644174544258463525618026701812320618764321814572490758301516005148473473768082359000840582195520846132300055638776103352880432918090187133675876870048723999122976738528064307877376686515983476144045583915408588766210601488373455274930347450055202582683636464558601517469810403502259409937549652732525767983872531662171066101397131218255482849954930846779006810107435383159564017760483215059165383792340815904177845107110595827936806385174135746590128888011913634336444525290105888935132793075003140937322840659392067529830324570099123766352486502485710503526985608254973522588628463430688887611077303015604106169119011629471640144764800125486953677892818121205544509804680885185348985128823794832796283219416849936421110929053678126832724046119768907791366917474378423845059507346054422142410875770690781929161744924630283883766091122840277034707442610452810397094256395558572937609879290509166729561139336140971438275426295948943098484902993952037228502491652611801097117310995978072996694461001082986866622417025029936758643331957440682128939157172683109370764557446878267834544034502732256401438243664041991404416764621073816169787385406481791461074926881756387731734198596091484662900939489284219830039394465028857823593109109876164388916959599039238350784968916756177530595039629529817284080144264634655612546034663700969379172834225902022167932642223668649204481163762261019218515674316525001147180134281096297174907894991937339977441610756050056068710943068660005190285012755644953584448048687259525476494195407088885157844589587484772876817591468142063660619802202611049537113590180370489522009134093401204008738959130766199678024088145808351203314613208090230454677543045483939498043386079483373746661638437437942551813321653165290632785113919961952953472799191666181117223749402670673164134587290500577894235916996849666683497780216889263751261546515915125933200754709618594286981170989476194014608681295443477356204743868602096079352621503405348106695479299265157186387657282689961723831343626354145959155633937368315352281454516066836080598605381809537698581680176129139421067262726649192276139207681950225091115560385661843958078034493377435546566190572685857182246493005733414185645736734776845397739227260285467675256603169420848856195266371742231147650803690602149415728527423977907791982430007048934826375557189685788186877168210573298250007352418100069519353798833336414657231241722309118546422730456486976382162723813406980600610182075961242283166218430485608791063337455675932636231964957197266670670692364184667741968163557526445568438254809100584424080751093771821315852637383026827729206566588285614511767696842770944408253760822789779042017343340510774867529931243803549364063335542305953677487317864335063275238313461882505891399942638485891422796733024952315882789930007199006842692814648760644088887737070904484945022805799502443570194437958858152327117989182603387611664078738386516154704488685526167185689989520346510181494152016286383224474875220570017675843655853078327157625255667685894376152611694789870344024070805431601196338495740724782930561623365357198522227099806849511037102663565627585800112251511299684240077971165813807587023998447270987053905898348193193953478568974874139120442915894143888326273306203230971822521187513489123028572984597462812873147356875794113251383891266255010581058090609870641987056731179122967035632852854359707273960068721208516454037936214460280027583933081866739023036712600786821133051783486145155223163039327767607136488947482843411445764826133545149241206801288472075100946641756971251864828224890529380290308940040809334574977585472883640741438915804390502966113614774184254206082343874944301230412757562769964577991689210151161690270765661695313169791489704757594516061934097726009499522607397210955116636329984510641734082375699877869112940494433137330796067012933722573810617076970569751748033265555609890708212605982795528432866012746355979111822647681643910303451268290390978584732102240697370923674350453732520947786821277463339024282286621089564403428951843682604191917578345039637921537456404839463114301544959591593135939787881696964644827642038427164284597675353478408941240640680262943983598727044805761655084502911960465632432402282269697882610201628391975102802871963183350767881825778066876733179744127695778314474750363079452308989489672277577784867389340257940712749172612099603181283603259088693738016628794069362064650302703823787921045381938375670138361733848434748338324077399205882329380111360761540146662042449409576890141840180465040838555073900146556192167303426301786665070225455365103745197266394369327196489538208535204191304684679156118280263623798453614097282555124139597301338861254669663956633547382447543828276892738912363807999710588638758964502642002020637106060810145803315470181139050075032098483306401}
30361  844323557690063657013673325848529845618551645412017813367077457779952822302648919402872: {1001451,1487003,1547391,2124290,2549148,2761031,3034700,3641640,3884416,3944330,4096845,4369968,4672514,4733196,4916214,5609015,6517295,6580091,6675020,6730818,7820754,8010024,8081823,8699831,9011277,9400130,9971003,10338779,10946603,11280156,11430263,11893672,12311138,12337391,12428330,12935111,13249403,13380381,14244290,14335211,14675615,14913996,15580295,15929025,15974951,16153631,16702463,16990960,17093148,17587340,17587451,17610738,17825151,18133154,18478730,18696354,18963125,19063103,19114830,19343522,19588658,20389152,21104808,21388871,21595323,21608891,22174476,22755750,22937796,23709458,23742909,23920631,24272800,24281823,25022018,25124930,26305499,26316892,27306900,27336914,27714491,28033851,29127360,29888618,30149916,30555530,30686876,31069184,31086263,31241451,31404268,31924571,32071154,32279951,32768280,33186503,33598295,34172330,34746071,34952832,35009663,35053388,35172578,35288603,35745740,36258959,36489628,36549191,36666636,36864315,37566311,37595560,38695611,39321936,39592130,40317954,40429538,40747511,40835579,41006796,41743754,41983103,42065231,42221531,42295005,42894888,42936123,43780636,43994091,44237178,44863240,45114672,45606530,46192619,46635231,46647611,47409290,47510556,47718443,48256749,48864556,49238056,50246540,50412290,50471145,50754006,50800631,50849823,51157823,52128040,52213130,52607522,52890971,52951991,53476923,53549399,53805791,53835888,54103298,54125291,54144503,54727836,54980603,55029815,55050591,55365659,55392813,55397531,55918295,56891148,57145791,57238679,58032479,58210730,58310668,58644045,59247122,59276711,59361431,59468615,59570651,59918248,59919554,60066479,60295848,60494748,60565374,61177691,61241615,62553648,62655756,63003458,64058303,64571003,65008778,65522951,65667815,65943825,66035778,66600059,66959452,67101954,67408029,67467671,67832829,69309623,69584872,69852876,69952619,70203263,70340080,70372854,70643276,71187314,71362338,71403292,72523048,72572330,72749631,73074194,73230045,73266411,73489938,75127658,75195179,75558530,75677759,75847071,76767083,77349290,78013295,78112048,78282981,78344296,78801378,79132590,79139330,79474631,79766123,79818959,80569103,80650514,81588429,81665762,82018623,82167148,82665791,82693864,83104991,83434919,83556651,83631551,84408096,85100930,85390898,85604331,86735351,87086796,87178625,87876054,88137333,88246331,89664263,89689323,90004940,90670236,90690551,90708411,91055954,91424008,91545578,92244290,92295532,92819148,92870111,93030597,93194025,93252351,93289058,93548663,93615954,94959108,94967196,95062605,95534903,95656360,96816428,97950599,98206511,98248178,98679592,99165503,99406960,99883295,...,39087374477706867525566059011284700824035602416427491685762419429987677735354673531297965024109812001120776260694461509733407518368137803840577224120249511567835826731631998830635651370752410503168915354644634858727445220544785021614135317831273699907129933406936776911515286078135356626413871336345879916732870310034357311830042216228088135196174957673977133273241129038675746809913844212752023680644286745553845056454421205570460142814127770582408513565514328786838517349218179115259367053474518580177057433337521249763787545856090039773766093465498355136648669980947338035980811006631363451504617907585183481436404020805474892158682172628853526353066833982604903857090828274059346406241180247131980171765059777061710959222466581894814572071570835776965394826358543721822556632504565126746009794739229523214501027587709238882326566173711845021454830453702712943256813937080529459008527411430583479839054012222306081519114854628584367235061265257464646537325269382971336655536815734796156414661304097328925948001443982488829889366706582344857775943254242838585542896910812494352743262504357112725379336976341868584324885389321872555686161431754893049847208642388614766569175675183642312264794788646217201252652378959773385859286705143764790812146501552518555946132052317801046625222341570040793386172706423045440192352846207483394712884934625838897112301202696223910189631558198939308218349681358958020899088700001529573512374795062899877193322583119969922147674733408091614590758213340253713350340859938112597398249679367301992260542785180210459452783313030502423455290856084880826402936814732716151453573827319362678845457868272011651945507688266237365450861077801604419484277453640606236724060645252664057848105977831662215517916583923402417762204220387510380151893282603937963732255554908156298332536894230885512783054000770525647889329132888911330373622519018335015395354553501244267672946158125715974894652634925352811575060591303141606325158136128105803495337873797475593972399020209581850209710253282298441791501805527945540845249824420469708606021422448107464807175746050264775573568172185894756350302198923034852276909266966788154080514215791944104045991169914062088254096914476242995324007644552247527648979702460530318969680380623567008804225894465141593688495656308196867738254136199220971369898637210389309906676065246435167409586247717582502890947431064333343136557466759359138398444448552876308322296412158061896973941982635176216965084542640800813576101281656377554957907314145054751116607567910181642619942929688894227589818912890322624218076701927424584339745467445898774334791695761754470183177369103638942088784380819349023595790361259211005014430386372056023124454014366490039908325071399152084447389741271569983090485780084366984417949176674521866590184647855230395644033269754510386573342932009123590419531680858785183649427872646593363741066003258093592583945144203102823985576804516815552104984515354872939318247368222914253319360462013575325536021715177632633166960760023567791541137437769543500340890247859168203482259719827125365427740575468261784660987633043907415497820476264696302799742466014716136884754170114400149668681732912320103961554418410116031997929694649405207864464257591937971425299832185493923887858858517768364408270974629096694916684652164038097312796617083830863142501058817668511855021673347441410787479827522649408974905497289380843803805812943031946758294944688605383914952613706703445244109155652030715616801049094844069044648193540297550719103690142848651929977124548594353101511393532321609068384629433467928855675961669153104299854039173720411920054412446099970113963844854321918554405854003954818153032245672274776458499925734973883676750359952770655585613534882253694354215593750893055319606343459354749245463634679332696809862947940155515106646014188978776500933170492150587325910849774394756017244963431747489435960759668997377687407479854277616807977060704577154683661807972149096863575525213737935024387187971446309469654263161231565800604976694597049095036617785365709715494786085871238602458243472255890104460052850562049941873119284152402059946122124181253050508929286193103522717902885712796900471304545254987520907017258644798302726407682206779337215947287509909869709692930510146935504522633470403829284244467690509101037422502310906325503594371085966333817439269745319319563036770379823185787010587616998896816132804241711471012118258317355505058759149419533736938431717228060509251167560184482311797912997784432103198941176439173481814348720195549389932546102520189120240620054451406765200195408256223071235069048886760300607153471660263021859159102928652717611380272255072912905541491040351498397938152129710073498852796401785148339559551942178063176596725104369190318549818410666280784851678619336856002694182808081080194404420626908185400100042797977741868}
30362  846932203049168198012297313774731119144313876349051905512353235029959435591053908054347: {789022,1152958,1303717,1335268,2063188,2243902,2486158,2849422,3116677,3186435,3212542,3297577,3398864,3793375,3823722,4059262,4200997,4552050,4561861,4855520,5388238,5462460,5462761,5822617,5826624,5916495,6112318,6310928,6474142,6554952,6720997,6900457,7008771,7099794,7374321,8154661,8281102,8343775,8974424,9002878,9483742,9844222,10012530,10096227,10406963,10427672,10444702,10474537,10680032,10775764,10804798,11185897,11363557,11524558,11731131,12004078,12015036,13441102,13680382,14100195,14517358,14867090,14901637,15040208,15114718,15472942,15831022,16188958,16308238,16920234,17840508,17886361,18466707,18642495,18809422,19879198,19885328,20502661,20829022,20947678,21238700,21366435,21718057,21984175,22237861,22370994,22790864,23480984,23766868,24027118,24928472,25486440,25639722,25916782,26270638,26381010,26416107,26506462,27058117,27185536,27199731,27718095,28044531,28139744,28625998,28672245,28793764,29015283,29096302,29382987,29565968,30341000,30388318,30583728,30805861,31209502,31657212,31991017,32264158,32375764,32896115,33200542,33261714,33677977,34019038,34133625,34182661,34406694,35564187,35653678,35770318,35860261,36120142,36409200,36819358,37378468,37533027,37687395,37863877,38216062,38358595,38836480,39255335,39475338,40190782,40199888,40960350,41002558,41005371,41345257,41655268,42004777,42623758,42827557,43083299,43086382,43691040,43816735,44631337,44682175,44832927,45049678,45224874,45612035,45741502,45833295,46030314,46263577,46547902,46603776,46994450,47106402,48106731,48536617,48617902,48698437,48888848,48962398,49152420,49829161,50312677,50682718,50956357,51117097,51258495,51594148,51713182,52285102,52428467,52429248,52580082,52758867,53427742,53618610,53757272,54675728,54725795,54734442,54953257,54999954,55138702,55429861,56079050,56393340,57013861,57073438,57193184,57248164,57414382,58118377,58549822,58658788,58905157,58982904,59388195,59457022,59910238,60152896,60473317,60476931,60589582,60644307,60886763,60942361,61080695,61410757,61494478,61510194,61547570,62180308,62285422,62374411,62615631,62808175,62967397,63277861,63347408,63457667,63864958,64052761,64342332,64362217,64825861,64878718,65160050,65328862,65670954,66003598,66355767,66619631,67239118,67294860,67351342,67672008,67799764,68348042,68409795,68551259,68920798,69256702,69592462,70642597,70710622,71113935,71265834,71269102,71302564,71603998,71715598,71781184,72050302,72357131,72888335,72970448,73276318,73296834,73400788,73857084,73962661,74412697,74611582,74897810,75369810,75389422,75460261,75611518,75618435,75854864,76131009,76194388,77053582,77989657,78192060,78319695,78911283,79996007,80039998,80394464,80659664,80753832,80938777,81032878,81154947,82091754,82110361,82376723,82574782,82904782,83234638,83404864,83541008,83699315,83893918,84004357,84333118,84729577,85019161,85336722,85539598,85977838,86196862,86344643,86981090,87106487,87316095,87466002,87837502,87925100,88047704,88185577,88304095,88328677,88614661,88725098,88870683,88929262,89254115,89328361,89469272,89474542,89755717,89877372,89879331,90040261,90237262,90443772,90455038,90653810,90742122,90848061,92086318,92412142,92520718,92727467,93137168,93291817,93819362,93830472,93983634,93993637,94039102,94505187,94693657,94973161,95121742,95149784,95446222,96999508,97060261,97282222,97390078,97513167,97640060,97688548,97930370,97986584,99053667,99221182,99651358,...,58631061716560301288349088516927051236053403624641237528643629144981516603032010296946947536164718001681164391041692264600111277552206705760865836180374267351753740097447998245953477056128615754753373031966952288091167830817177532421202976746910549860694900110405165367272929117203034939620807004518819875099305465051535967745063324342132202794262436510965699909861693558013620214870766319128035520966430118330767584681631808355690214221191655873612770348271493180257776023827268672889050580211777870265586150006281874645681318784135059660649140198247532704973004971421007053971216509947045177256926861377775222154606031208212338238023258943280289529600250973907355785636242411089019609361770370697970257647589665592566438833699872842221858107356253665448092239537815582733834948756847690119014692108844284821751541381563858323489849260567767532182245680554069414885220905620794188512791117145875219758581018333459122278672281942876550852591897886196969805987904074457004983305223602194234621991956145993388922002165973733244834050059873517286663914881364257878314345366218741529114893756535669088069005464512802876487328083982808833529242147632339574770812963582922149853763512775463468397192182969325801878978568439660078788930057715647186218219752328777833919198078476701569937833512355061190079259059634568160288529269311225092069327401938758345668451804044335865284447337298408962327524522038437031348633050002294360268562192594349815789983874679954883221512100112137421886137320010380570025511289907168896097374519050952988390814177770315689179174969545753635182936284127321239604405222099074227180360740979044018268186802408017477918261532399356048176291616702406629226416180460909355086090967878996086772158966747493323276874875885103626643306330581265570227839923905906945598383332362234447498805341346328269174581001155788471833993699333366995560433778527502523093031830251866401509419237188573962341978952388029217362590886954712409487737204192158705243006810696213390958598530314372775314565379923447662687252708291918311267874736630704562909032133672161197210763619075397163360352258278842134525453298384552278415363900450182231120771323687916156068986754871093132381145371714364492986011466828371291473469553690795478454520570935350513206338841697712390532743484462295301607381204298831457054847955815583964860014097869652751114379371576373754336421146596500014704836200139038707597666672829314462483444618237092845460912973952764325447626813961201220364151922484566332436860971217582126674911351865272463929914394533341341384728369335483936327115052891136876509618201168848161502187543642631705274766053655458413133176571229023535393685541888816507521645579558084034686681021549735059862487607098728126671084611907354974635728670126550476626923765011782799885276971782845593466049904631765579860014398013685385629297521288177775474141808969890045611599004887140388875917716304654235978365206775223328157476773032309408977371052334371379979040693020362988304032572766448949750441140035351687311706156654315250511335371788752305223389579740688048141610863202392676991481449565861123246730714397044454199613699022074205327131255171600224503022599368480155942331627615174047996894541974107811796696386387906957137949748278240885831788287776652546612406461943645042375026978246057145969194925625746294713751588226502767782532510021162116181219741283974113462358245934071265705708719414547920137442417032908075872428920560055167866163733478046073425201573642266103566972290310446326078655535214272977894965686822891529652267090298482413602576944150201893283513942503729656449781058760580617880081618669149955170945767281482877831608781005932227229548368508412164687749888602460825515125539929155983378420302323380541531323390626339582979409515189032123868195452018999045214794421910233272659969021283468164751399755738225880988866274661592134025867445147621234153941139503496066531111219781416425211965591056865732025492711958223645295363287820606902536580781957169464204481394741847348700907465041895573642554926678048564573242179128806857903687365208383835156690079275843074912809678926228603089919183186271879575763393929289655284076854328569195350706956817882481281360525887967197454089611523310169005823920931264864804564539395765220403256783950205605743926366701535763651556133753466359488255391556628949500726158904617978979344555155569734778680515881425498345224199206362567206518177387476033257588138724129300605407647575842090763876751340276723467696869496676648154798411764658760222721523080293324084898819153780283680360930081677110147800293112384334606852603573330140450910730207490394532788738654392979076417070408382609369358312236560527247596907228194565110248279194602677722509339327913267094764895087656553785477824727615999421177277517929005284004041274212121620291606630940362278100150064196966612802}
30363  849548861438538098165051460662137269936305187581990640253209447396265761658032477570516: {1183533,1669085,1729437,2002902,2578985,2974006,3094782,3365853,3671261,3729237,4248580,4274133,4818813,5098296,5522062,5735583,6069400,6088893,6828075,7283280,7768832,7852621,7888660,8082357,8193690,8739936,9124213,9168477,9345028,9466392,9673037,9711213,9832428,10649691,11218030,11856293,12218557,12421653,13034590,13160182,13350040,13461636,13469705,13504317,14225613,14580553,14766333,15018795,15641508,15667053,16020048,16163646,16207197,16941613,17286837,17399662,17854357,18006117,18022554,18800260,19660157,19942006,20161653,20520573,20545861,20677558,21305821,21776037,21812413,21893206,22300635,22560312,22672077,22860526,23209413,23746533,23787344,24283437,24462357,24622276,24674782,24856660,25380351,25870222,26498806,26548375,26760762,27293993,27635597,28214133,28488580,28670422,29351230,29708585,29818797,29827992,31088317,31160590,31243533,31421517,31858050,31949902,32307262,32746733,33404926,33556491,33981920,34186296,35174680,35174902,35221476,35650302,35992205,36018377,36040677,36266308,36957460,37392708,37926250,38126206,38149033,38229660,38459583,38687044,38875173,39177316,39405957,39571515,39759693,40469705,40778304,41985877,42209616,42777742,42851497,42938997,43190646,43217782,43644453,44348952,45511500,45582477,45875592,46723085,46814253,47037613,47418916,47485818,47841262,48396237,48545600,48563646,49429277,49502717,49800813,49892571,49898173,50044036,50249860,51028557,51610041,52069085,52610998,52633784,53480517,53655477,54180213,54591277,54613800,54673828,55229037,55428982,56067702,57242461,57324093,58254720,59181637,59213007,59777236,60286173,60299832,61111060,61373752,61440525,61503837,62138368,62172526,62482902,62808536,63368261,63849142,63935637,63966253,64142308,64492685,64559902,64629573,65536560,65774537,66373006,66864221,67196590,67574517,67837311,68344660,68476117,68612253,69045471,69492142,69821853,69905664,70019326,70106776,70345156,70491675,70577206,70659603,70987657,71491480,71560205,72517918,72926853,72979256,73098382,73323485,73333272,73443597,73728630,74089597,75012061,75132622,75191120,76024077,76489001,77041741,77194997,77391222,77569773,77725385,78285613,78427653,78643872,78870123,79167077,79184260,79369357,80141613,80427915,80635908,80859076,81495022,81671158,81713353,82013592,82101663,82499931,82671277,82708053,83256061,83487508,83966206,84118575,84130462,84443062,84590010,84749705,85610157,85738261,85789776,85872246,86121573,87047477,87158893,87561272,87824733,87988182,88474356,89128205,89185533,89726480,89865357,90047821,90229344,90884373,91213060,91750985,91934941,92241717,92265291,92321355,92385238,92949461,93270462,93295222,93428133,93470557,94331497,94818580,95021112,95169653,95242985,95436886,95797437,96513498,96880157,97318077,97729112,97740075,97993293,98476112,98506431,99005397,...,87946592574840451932523632775390576854080105436961856292965443717472274904548015445420421304247077002521746586562538396900166916328310058641298754270561401027630610146171997368930215584192923632130059547950428432136751746225766298631804465120365824791042350165607748050909393675804552409431210506778229812648958197577303951617594986513198304191393654766448549864792540337020430322306149478692053281449645177496151377022447712533535321331787483810419155522407239770386664035740903009333575870317666805398379225009422811968521978176202589490973710297371299057459507457131510580956824764920567765885390292066662833231909046812318507357034888414920434294400376460861033678454363616633529414042655556046955386471384498388849658250549809263332787161034380498172138359306723374100752423135271535178522038163266427232627312072345787485234773890851651298273368520831104122327831358431191282769186675718812829637871527500188683418008422914314826278887846829295454708981856111685507474957835403291351932987934218990083383003248960599867251075089810275929995872322046386817471518049328112293672340634803503632103508196769204314730992125974213250293863221448509362156219445374383224780645269163195202595788274453988702818467852659490118183395086573470779327329628493166750878797117715052354906750268532591785118888589451852240432793903966837638103991102908137518502677706066503797926671005947613443491286783057655547022949575003441540402843288891524723684975812019932324832268150168206132829205980015570855038266934860753344146061778576429482586221266655473533768762454318630452774404426190981859406607833148611340770541111468566027402280203612026216877392298599034072264437425053609943839624270691364032629136451818494130158238450121239984915312313827655439964959495871898355341759885858860418397574998543351671248208012019492403761871501733682707750990549000050493340650667791253784639547745377799602264128855782860943512968428582043826043886330432068614231605806288238057864510216044320086437897795471559162971848069885171494030879062437877466901812104946056844363548200508241795816145428613095745040528387418263201788179947576828417623045850675273346681156985531874234103480132306639698571718057571546739479017200242556937210204330536193217681780856403025769809508262546568585799115226693442952411071806448247185582271933723375947290021146804479126671569057364560631504631719894750022057254300208558061396500009243971693725166927355639268191369460929146488171440220941801830546227883726849498655291456826373190012367027797908695894871591800012012077092554003225904490672579336705314764427301753272242253281315463947557912149080483187619699764856843535303090528312833224761282468369337126052030021532324602589793731410648092190006626917861032461953593005189825714940385647517674199827915457674268390199074856947648369790021597020528078443946281932266663211212713454835068417398507330710583313876574456981353967547810162834992236215159548464113466056578501557069968561039530544482456048859149673424625661710053027530967559234981472875767003057683128457835084369611032072212416294803589015487222174348791684870096071595566681299420548533111307990696882757400336754533899052720233913497441422761071995341812961161717695044579581860435706924622417361328747682431664978819918609692915467563562540467369085718953792388438619442070627382339754151673798765031743174271829611925961170193537368901106898558563079121821880206163625549362113808643380840082751799245600217069110137802360463399155350458435465669489117983302821409466842448530234337294478400635447723620403865416225302839925270913755594484674671588140870926820122428003724932756418650922224316747413171508898340844322552762618247031624832903691238272688309893733975067630453485070812296985085939509374469114272783548185802293178028498567822191632865349908989953531925202247127099633607338821483299411992388201038801167721431851230911709255244099796666829672124637817948386585298598038239067937335467943044931730910353804871172935754196306722092112771023051361197562843360463832390017072846859863268693210286855531047812575752735035118913764612369214518389342904634878774779407819363645090893934482926115281492853793026060435226823721922040788831950796181134417284965253508735881396897297206846809093647830604885175925308408615889550052303645477334200630199539232383087334943424251089238356926968469016832733354602168020773822138247517836298809543850809777266081214049886382208086193950908111471363763136145815127010415085201545304245014972232197617646988140334082284620439986127348228730670425520541395122515665221700439668576501910278905359995210676366095311235591799183107981589468614625605612573914054037468354840790871395360842291847665372418791904016583764008991869900642147342631484830678216737091423999131765916276893507926006061911318182430437409946410543417150225096295449919203}
30364  852173557329195202751307344656994824523364535134150351859960451588784174205257718578738: {515899,697843,1243243,1578044,2150803,2305916,2607434,2670536,3004353,4126376,4461009,4487804,4642173,4972316,5042899,5310725,5698844,6233354,6372870,6425084,6595154,6797728,6841099,7558363,7586750,7647444,8118524,8283093,8401994,8810803,9104100,9123722,9524899,9711040,9860825,10593883,10776476,10924920,10925522,11645234,11653248,11681285,11832990,12224636,12290535,12621856,12948284,13109904,13255003,13441994,13800914,14017542,14199588,14667643,14748642,16309322,16562204,16687550,16827045,17948848,18005756,18967484,19052443,19226899,19551885,19688444,19740273,20025060,20192454,20793763,20813926,20855344,20889404,20949074,21360064,21551528,21609596,22371794,22727114,23049116,23462262,23500325,23564899,24008156,24030072,24245469,24427099,25459363,25974523,26099493,26831683,26882204,27033831,27360764,27687043,28028683,28200390,28711099,29034716,29734180,29803274,29913009,30080416,30229436,30242323,30777845,30945884,31016337,31070825,31090483,31662044,32377916,32616476,32839809,33840468,33960763,34290789,35471899,35610725,35681016,35772722,36933414,37012173,37284990,37618844,37810963,38805333,39748209,39758396,39770656,40141143,41005322,41658044,41895356,42477400,42732870,43005633,43104403,43436114,43968350,44026845,44475722,44741988,45233803,45332885,45581728,46054561,46196825,46375363,46740885,46961968,47533736,47787075,47837899,47924853,48054236,48358805,48460893,48971645,49294603,49617523,49856944,50107389,50972880,51279444,51833564,52030243,52541276,52670899,52762020,52762353,52832214,53012924,53310403,53475453,53702033,54108163,54116234,54371072,54399462,54904123,54957469,55436190,56089062,56279488,56889375,57189309,57251996,57344490,57587528,58030566,58192604,58765974,58856923,59014099,59131936,59273645,60682000,60738283,60776636,61167456,61343429,61611722,62298163,62419004,62555045,62812325,63314424,63695899,63856849,63982034,64166613,64528316,64751528,64785969,64826673,65396323,65792230,66401084,66523428,66627523,67355954,67394683,67547899,67701043,68038076,68267250,68312899,68342285,68365322,68813388,69712577,71128374,71228727,71307356,71540636,71720522,71761893,71959843,72240284,72714403,72818400,72845469,73638716,73715213,73767763,74721545,74756936,74967283,75066054,75374790,75727754,76013083,76388825,76432124,76616113,76717190,77672960,78094099,78510670,78916497,78950676,80177885,80308099,80381564,80399776,81042499,81920700,82005116,82010742,82690514,83143473,83310536,84009554,84101553,84107323,84377777,85247516,85430825,85512973,85655114,86132899,86166598,86172764,87382080,87427603,87633470,87931445,88287499,89262674,89364350,89665854,90099356,90425899,90449748,90993403,91224070,91483004,91666590,91983763,92060628,92527154,93095804,93111283,93207552,93258789,93724353,93988900,94212804,95773713,95909923,96213462,96384101,96839853,97073234,97235804,97354309,97396874,97777696,97924796,97990003,98128099,98304840,98980325,99559509,99658322,...,117262123433120602576698177033854102472106807249282475057287258289963033206064020593893895072329436003362328782083384529200222555104413411521731672360748534703507480194895996491906954112257231509506746063933904576182335661634355064842405953493821099721389800220810330734545858234406069879241614009037639750198610930103071935490126648684264405588524873021931399819723387116027240429741532638256071041932860236661535169363263616711380428442383311747225540696542986360515552047654537345778101160423555740531172300012563749291362637568270119321298280396495065409946009942842014107942433019894090354513853722755550444309212062416424676476046517886560579059200501947814711571272484822178039218723540741395940515295179331185132877667399745684443716214712507330896184479075631165467669897513695380238029384217688569643503082763127716646979698521135535064364491361108138829770441811241588377025582234291750439517162036666918244557344563885753101705183795772393939611975808148914009966610447204388469243983912291986777844004331947466489668100119747034573327829762728515756628690732437483058229787513071338176138010929025605752974656167965617667058484295264679149541625927165844299707527025550926936794384365938651603757957136879320157577860115431294372436439504657555667838396156953403139875667024710122380158518119269136320577058538622450184138654803877516691336903608088671730568894674596817924655049044076874062697266100004588720537124385188699631579967749359909766443024200224274843772274640020761140051022579814337792194749038101905976781628355540631378358349939091507270365872568254642479208810444198148454360721481958088036536373604816034955836523064798712096352583233404813258452832360921818710172181935757992173544317933494986646553749751770207253286612661162531140455679847811813891196766664724468894997610682692656538349162002311576943667987398666733991120867557055005046186063660503732803018838474377147924683957904776058434725181773909424818975474408384317410486013621392426781917197060628745550629130759846895325374505416583836622535749473261409125818064267344322394421527238150794326720704516557684269050906596769104556830727800900364462241542647375832312137973509742186264762290743428728985972022933656742582946939107381590956909041141870701026412677683395424781065486968924590603214762408597662914109695911631167929720028195739305502228758743152747508672842293193000029409672400278077415195333345658628924966889236474185690921825947905528650895253627922402440728303844969132664873721942435164253349822703730544927859828789066682682769456738670967872654230105782273753019236402337696323004375087285263410549532107310916826266353142458047070787371083777633015043291159116168069373362043099470119724975214197456253342169223814709949271457340253100953253847530023565599770553943565691186932099809263531159720028796027370771258595042576355550948283617939780091223198009774280777751835432609308471956730413550446656314953546064618817954742104668742759958081386040725976608065145532897899500882280070703374623412313308630501022670743577504610446779159481376096283221726404785353982962899131722246493461428794088908399227398044148410654262510343200449006045198736960311884663255230348095993789083948215623593392772775813914275899496556481771663576575553305093224812923887290084750053956492114291938389851251492589427503176453005535565065020042324232362439482567948226924716491868142531411417438829095840274884834065816151744857841120110335732327466956092146850403147284532207133944580620892652157311070428545955789931373645783059304534180596964827205153888300403786567027885007459312899562117521161235760163237338299910341891534562965755663217562011864454459096737016824329375499777204921651030251079858311966756840604646761083062646781252679165958819030378064247736390904037998090429588843820466545319938042566936329502799511476451761977732549323184268051734890295242468307882279006992133062222439562832850423931182113731464050985423916447290590726575641213805073161563914338928408962789483694697401814930083791147285109853356097129146484358257613715807374730416767670313380158551686149825619357852457206179838366372543759151526787858579310568153708657138390701413913635764962562721051775934394908179223046620338011647841862529729609129078791530440806513567900411211487852733403071527303112267506932718976510783113257899001452317809235957958689110311139469557361031762850996690448398412725134413036354774952066515176277448258601210815295151684181527753502680553446935393738993353296309596823529317520445443046160586648169797638307560567360721860163354220295600586224768669213705207146660280901821460414980789065577477308785958152834140816765218738716624473121054495193814456389130220496558389205355445018678655826534189529790175313107570955649455231998842354555035858010568008082548424243240583213261880724556200300128393933225604}
30365  854806315266459686703231567595798601617973952827516090193350598778432713383648999123835: {1972555,2336719,2367066,2882395,3338170,3458874,3610579,3911151,4005804,4338763,5157970,5609755,5948012,6189564,6215395,6731706,7123555,7342522,7458474,8031355,8497160,8548266,9350031,9559305,9637626,9892731,10148155,10196592,10340143,11044124,11380125,11431771,11471166,12138800,12177786,12602991,13251151,13470595,13656150,13671163,13685583,14566560,14947267,15280795,15537664,15668719,15705242,15777320,16038751,16164714,16185355,16387380,16388283,17467851,17479872,17749485,18248426,18336954,18690056,18857587,18932784,19346074,19422426,19664856,20162991,20218771,20326603,20701371,20702755,21026313,21123979,21299382,22122963,22436060,22507195,23234731,23709355,23712586,24437114,24463983,24610555,24843306,25031325,25488187,26069180,26111755,26320364,26700080,26923272,26939410,27008634,27011995,27637423,28451226,28811395,29161106,29532666,30010195,30037590,30288681,30505051,31220889,31283016,31334106,31423611,32040096,32327292,32414394,32660251,33557691,33602755,33611083,33883226,34090671,34200955,34573674,34799324,35193393,35708714,36012234,36045108,36293395,37167725,37589563,37600520,37775371,37786795,38502403,38682355,39320314,39577555,39884012,40323306,40472395,40651267,40770595,41041146,41091722,41355116,41592019,42300585,42611642,43551343,43552074,43624826,43786412,44601270,44704911,45120624,45344154,45721052,45781867,46418826,47023555,47493066,47574688,48566874,48924714,49244552,49349564,49432543,49697995,49713320,50167183,50389087,50760702,50821651,51740444,52072555,52150219,52369195,52997612,53096750,53521524,53659083,54587986,55008379,55271194,55400121,55453519,55927485,56428266,56657587,56977160,57340844,57434443,57764431,58503211,58702460,58812667,59417170,59637594,59655984,60067795,61507983,61927891,62176634,62321180,62487066,62843034,63716100,63899804,64031803,64099305,64614524,64791955,65154171,65412319,65493466,65676595,65778883,65952525,66077227,66266155,66713583,66809852,66868639,67112982,67963840,68372592,68983051,70249843,70349360,70349804,70361419,70442952,71300604,71564995,71984410,72036754,72081354,72532616,72740755,72818971,72896719,73914920,74785416,74889763,75852500,75970795,76252412,76298066,76459320,76919166,77374088,77515699,77750346,78023755,78354632,78811914,79143030,79248321,79519386,79829563,80660395,80939410,81174351,81556608,81599193,83001355,83114383,83154285,83908207,83971754,84133593,84419232,84997531,85047595,85084219,85487707,85555484,85683859,85702994,85877994,86016735,86381292,86435564,87045849,87053263,87288906,88066483,88148961,88697904,89134195,89425795,90289759,90300355,91023000,91025743,91164954,91230451,91751184,91804267,92048395,92417583,93446170,93561091,93611023,93628506,94075226,94601131,94837832,94971636,95540155,95682524,95973051,96558991,96792474,97091200,97127292,98688345,98858554,99005434,99040771,99601626,99785142,99796346,...,175893185149680903865047265550781153708160210873923712585930887434944549809096030890840842608494154005043493173125076793800333832656620117282597508541122802055261220292343994737860431168385847264260119095900856864273503492451532597263608930240731649582084700331215496101818787351609104818862421013556459625297916395154607903235189973026396608382787309532897099729585080674040860644612298957384106562899290354992302754044895425067070642663574967620838311044814479540773328071481806018667151740635333610796758450018845623937043956352405178981947420594742598114919014914263021161913649529841135531770780584133325666463818093624637014714069776829840868588800752921722067356908727233267058828085311112093910772942768996777699316501099618526665574322068760996344276718613446748201504846270543070357044076326532854465254624144691574970469547781703302596546737041662208244655662716862382565538373351437625659275743055000377366836016845828629652557775693658590909417963712223371014949915670806582703865975868437980166766006497921199734502150179620551859991744644092773634943036098656224587344681269607007264207016393538408629461984251948426500587726442897018724312438890748766449561290538326390405191576548907977405636935705318980236366790173146941558654659256986333501757594235430104709813500537065183570237777178903704480865587807933675276207982205816275037005355412133007595853342011895226886982573566115311094045899150006883080805686577783049447369951624039864649664536300336412265658411960031141710076533869721506688292123557152858965172442533310947067537524908637260905548808852381963718813215666297222681541082222937132054804560407224052433754784597198068144528874850107219887679248541382728065258272903636988260316476900242479969830624627655310879929918991743796710683519771717720836795149997086703342496416024038984807523743003467365415501981098000100986681301335582507569279095490755599204528257711565721887025936857164087652087772660864137228463211612576476115729020432088640172875795590943118325943696139770342988061758124875754933803624209892113688727096401016483591632290857226191490081056774836526403576359895153656835246091701350546693362313971063748468206960264613279397143436115143093478958034400485113874420408661072386435363561712806051539619016525093137171598230453386885904822143612896494371164543867446751894580042293608958253343138114729121263009263439789500044114508600417116122793000018487943387450333854711278536382738921858292976342880441883603661092455767453698997310582913652746380024734055595817391789743183600024024154185108006451808981345158673410629528854603506544484506562630927895115824298160966375239399529713687070606181056625666449522564936738674252104060043064649205179587462821296184380013253835722064923907186010379651429880771295035348399655830915348536780398149713895296739580043194041056156887892563864533326422425426909670136834797014661421166627753148913962707935095620325669984472430319096928226932113157003114139937122079061088964912097718299346849251323420106055061935118469962945751534006115366256915670168739222064144424832589607178030974444348697583369740192143191133362598841097066222615981393765514800673509067798105440467826994882845522143990683625922323435390089159163720871413849244834722657495364863329957639837219385830935127125080934738171437907584776877238884141254764679508303347597530063486348543659223851922340387074737802213797117126158243643760412327251098724227617286761680165503598491200434138220275604720926798310700916870931338978235966605642818933684897060468674588956801270895447240807730832450605679850541827511188969349343176281741853640244856007449865512837301844448633494826343017796681688645105525236494063249665807382476545376619787467950135260906970141624593970171879018748938228545567096371604586356056997135644383265730699817979907063850404494254199267214677642966598823984776402077602335442863702461823418510488199593333659344249275635896773170597196076478135874670935886089863461820707609742345871508392613444184225542046102722395125686720927664780034145693719726537386420573711062095625151505470070237827529224738429036778685809269757549558815638727290181787868965852230562985707586052120870453647443844081577663901592362268834569930507017471762793794594413693618187295661209770351850616817231779100104607290954668401260399078464766174669886848502178476713853936938033665466709204336041547644276495035672597619087701619554532162428099772764416172387901816222942727526272291630254020830170403090608490029944464395235293976280668164569240879972254696457461340851041082790245031330443400879337153003820557810719990421352732190622471183598366215963178937229251211225147828108074936709681581742790721684583695330744837583808033167528017983739801284294685262969661356433474182847998263531832553787015852012123822636364860874819892821086834300450192590899838406}
30366  857447159870174326956123368027167235500144792323856203798955698271499927280154438051894: {576593,1031798,1303889,1395686,1424993,1606589,1788113,2211389,2486486,2936093,3156088,3237713,3418589,3550599,4301606,4611832,4923089,5007255,5188311,5214868,5341072,5403473,5943293,6008706,6841553,6901373,7020989,7435015,7736955,7738013,7917089,8096093,8252752,8334653,8922018,8975608,9228113,9284346,9944632,10085798,10097559,10119773,10594589,10621450,11013783,11187711,11397688,11483489,12466708,12547793,12745740,12822399,12850168,13137953,13190308,13432733,13595456,13682198,13805155,14456439,14551073,14903633,15021089,15116726,15173500,15294888,16237048,16310993,16353799,16566186,16779089,16803988,17188253,17206749,17621606,18063713,18208200,18238589,18247444,18266679,19049798,19111889,19422080,19721650,20273489,20484225,21187766,21552952,21720989,21849840,21851044,23290468,23306496,23362570,23557863,23566493,23665980,24247071,24449272,24486173,24581070,24773153,25243712,25896568,26033489,26219808,26510006,26883988,27346973,27372639,27505431,27574973,27601828,28035084,28045075,28399176,28428833,28713053,28883489,29019111,29133639,29335286,29497284,29904593,30300989,30470753,31149089,31318493,31949073,32108093,32586475,32618644,32839889,32900455,33124408,33375100,33654090,34635473,34803389,35362589,35568879,35809373,35897696,36011512,36032573,36655671,37264959,37480253,37869089,37934968,37980113,38104886,38453798,39103770,39376888,39480546,40050120,40384908,40409115,40512951,41460989,41587526,41625953,41627852,41710688,41778808,41898148,42676839,42720128,42943073,43088983,43103056,43219192,43271633,43499155,43741659,43927889,44298999,44637533,44743588,44746589,44910113,45056385,45454228,46098232,46215713,46378589,46924524,47000650,47001159,47029373,47129798,47733089,47895293,48016312,48060144,48490938,48621591,48651293,48854198,48974813,49351889,49855015,49997393,50319713,50824839,50918726,51070673,51693895,51860511,51949046,52198986,53207633,53367389,53563071,53663366,53764408,53793053,54018351,54067662,54721528,54733015,54960989,55374086,56019389,56057366,56177873,56400780,57151315,57179933,57422198,58069432,58546493,58913489,58980471,59018273,59070653,59468360,59606548,59826018,60160832,60325373,60458872,60484646,60484959,61555690,61561719,61637583,61686955,61891768,62032674,62043089,62141650,62180966,63079889,63324088,63466039,63700433,63752093,63917463,64474493,64675555,64755832,64783613,65232952,65328111,65437239,65555153,65679618,65760593,66247015,66683489,66901905,67092833,67680936,67702327,67705889,67921526,68016231,68317793,68560303,68581578,68979389,69628239,70652753,70753889,70905533,70943798,71107613,71221450,71239599,71362032,71545444,71676055,72015389,72619133,72850311,73020989,73378075,73387071,73866828,74024346,74123453,74523389,74569980,75022589,75172193,75237688,75621926,75919133,76141053,77610666,77901475,78099773,78593213,79135073,79331873,79496418,79516792,79541312,79645125,79872413,79874755,80068733,80282286,80607953,80768155,81048413,81341693,81881979,82010644,82073633,82387591,82906791,82983103,82998173,83316088,83512315,83726033,83790712,84113489,84258653,84642399,84954800,85465740,86011266,86187293,86208806,86619473,86872228,87117979,87577063,87936700,87937255,88053690,88294013,88341713,88951444,89125755,89294033,89456391,89483976,89484113,89863889,90467606,90665770,91047389,91163456,91849313,91990589,92109122,92393650,92750726,93165089,93264951,93481770,93730599,93923936,94264551,94427933,94661153,94800989,94815625,95067472,95315515,95574150,95675798,95679199,95849706,95963489,96108472,96519713,96717610,96921786,97213373,97351889,97943290,98043389,98240199,98589206,98595293,99100193,99235046,99420989,99558353,99713888,99719191,...,263839777724521355797570898326171730562240316310885568878896331152416824713644046336261263912741231007565239759687615190700500748984930175923896262811684203082891830438515992106790646752578770896390178643851285296410255238677298895895413395361097474373127050496823244152728181027413657228293631520334689437946874592731911854852784959539594912574180964299345649594377621011061290966918448436076159844348935532488454131067343137600605963995362451431257466567221719311159992107222709028000727610953000416195137675028268435905565934528607768472921130892113897172378522371394531742870474294761703297656170876199988499695727140436955522071104665244761302883201129382583101035363090849900588242127966668140866159414153495166548974751649427789998361483103141494516415077920170122302257269405814605535566114489799281697881936217037362455704321672554953894820105562493312366983494075293573848307560027156438488913614582500566050254025268742944478836663540487886364126945568335056522424873506209874055798963802656970250149009746881799601753225269430827789987616966139160452414554147984336881017021904410510896310524590307612944192976377922639750881589664345528086468658336123149674341935807489585607787364823361966108455403557978470354550185259720412337981988885479500252636391353145157064720250805597775355356665768355556721298381711900512914311973308724412555508033118199511393780013017842840330473860349172966641068848725010324621208529866674574171054927436059796974496804450504618398487617940046712565114800804582260032438185335729288447758663799966420601306287362955891358323213278572945578219823499445834022311623334405698082206840610836078650632176895797102216793312275160829831518872812074092097887409355455482390474715350363719954745936941482966319894878487615695066025279657576581255192724995630055013744624036058477211285614505201048123252971647000151480021952003373761353918643236133398806792386567348582830538905285746131478131658991296205842694817418864714173593530648132960259313693386414677488915544209655514482092637187313632400705436314838170533090644601524725387448436285839287235121585162254789605364539842730485252869137552025820040043470956595622702310440396919919095715154172714640218437051600727670811630612991608579653045342569209077309428524787639705757397345680080328857233215419344741556746815801170127841870063440413437380014707172093681894513895159684250066171762900625674184189500027731915081175500782066917804574108382787439464514320662825405491638683651180548495965874370479119570037101083393726087684614775400036036231277662009677713472017738010115944293281905259816726759843946391842673736447241449562859099294570530605909271584938499674283847405108011378156090064596973807769381194231944276570019880753583097385860779015569477144821156942553022599483746373022805170597224570842945109370064791061584235331838845796799989633638140364505205252195521992131749941629723370944061902643430488504976708645478645392340398169735504671209905683118591633447368146577449020273876985130159082592902677704944418627301009173049385373505253108833096216637248884410767046461666523046375054610288214786700043898261645599333923972090648272201010263601697158160701740492324268283215986025438883485153085133738745581307120773867252083986243047294994936459755829078746402690687621402107257156861377165315858326211882147019262455021396295095229522815488835777883510580612106703320695675689237365465640618490876648086341425930142520248255397736800651207330413407081390197466051375306397008467353949908464228400527345590703011883435201906343170861211596248675908519775812741266783454024014764422612780460367284011174798269255952766672950242239514526695022532967658287854741094874498711073714818064929681201925202891360455212436890955257818528123407342818350644557406879534085495703466574898596049726969860595775606741381298900822016464449898235977164603116403503164295553692735127765732299390000489016373913453845159755895794114717203812006403829134795192731061414613518807262588920166276338313069154083592688530081391497170051218540579589806079630860566593143437727258205105356741293837107643555168028713904636324338223458090935272681803448778345844478561379078181305680471165766122366495852388543403251854895760526207644190691891620540427280943491814655527775925225847668650156910936432002601890598617697149262004830272753267715070780905407050498200063806504062321466414742553508896428631552429331798243642149659146624258581852724334414091289408437445381031245255604635912735044916696592852940964421002246853861319958382044686192011276561624185367546995665101319005729505730836716079985632029098285933706775397549323944768405843876816837721742162112405064522372614186082526875542996117256375712049751292026975609701926442027894454492034650211274271997395297748830680523778018185733954547291312229839231630251450675288886349757609}
30367  860096115834929447837927285784228289920848494982362865283496857753720367436114740985327: {30367,1547697,2093529,2761577,3729729,3945110,4035353,4673438,4734132,5127629,5764790,6452409,6518585,6676340,6917748,7221158,7822302,7853657,8011608,8677526,8701553,9013059,9972977,10315940,11219510,11243897,11896024,12220169,12339833,12379128,12430790,13383027,13463412,13926519,14207417,14247110,14338049,14685044,14916948,15128697,15583385,15932175,15978113,16062710,16156829,16487885,16705769,16994320,17096532,18517577,18700062,18858833,18966875,19066877,19118610,19275252,19785462,20296310,20393184,20523297,20680286,21004985,21393113,21613169,22088248,22154417,22659497,22675089,22760250,22809305,22863542,22942332,23609153,24022349,24277600,24355572,24849279,25205982,25791257,26432409,26502302,26941190,27245993,27312300,27313805,27342326,27371166,28574697,28983857,29113085,29133120,29582475,29894534,30561590,31075328,31337438,31410484,31510073,31554640,31781649,32077502,32286353,32329428,32370710,32662409,32774760,32776566,33193097,33604985,34276649,34454777,34502285,34935702,34959744,35043855,35498970,36496852,36556457,36673908,36871605,37380112,37715174,37816793,37865568,38692148,38844852,39329712,39722189,39765009,40325982,40335953,40380569,40437542,40653206,40653953,40773305,41402742,41405510,41471117,41718875,42014273,42052626,42247958,42598764,44002929,44245926,44424029,44872120,45014390,45433769,46469462,47043857,47418710,47425172,47881337,48874228,48927966,49221110,49686612,49887197,50062650,50481135,50810753,50825009,50976374,51167969,51469769,52034815,52138360,52223510,52372685,52640728,52901513,53400160,53846544,53878820,54017268,54023990,54155297,55274846,55408577,55929485,56036573,56661353,56817785,56902452,57078833,57157329,57622790,57680697,58322212,58655655,58816553,59065332,59220819,59288489,60020390,60075180,60577362,61010102,61479953,61632077,62381289,62441778,62566032,62668212,62847222,62868713,64080192,64654584,64828788,65251457,65320502,65535977,65832977,66081593,67115382,67205510,67222166,67766452,67877069,68181342,68317133,68401910,68987609,69147348,69323369,69577193,69598648,70386786,70500975,70694697,71388593,71417428,71640929,72024468,72090216,72586790,72736407,72901577,73281297,73316873,73916249,74335450,74508185,75179126,75201040,75550742,75573590,75673949,76378089,77004806,77364710,77840969,77923569,78298479,78639233,78640628,79155110,79490393,79768024,80495049,80646612,80944790,81101493,81302534,81541190,82082292,82183444,82710232,83061129,83121473,83184038,83648177,84086049,84094913,84601170,85067933,85223284,86133297,86635193,86752553,87102686,87104148,87249652,87572824,89202540,89409822,89431805,89739027,90241248,90547229,90688308,90708737,90726969,91442104,91563734,91947233,92333535,92362409,92772617,92830013,92837652,93049011,93212475,93271449,94047110,94344029,94986132,95149376,95266697,95764313,97133748,97807949,97849428,98226089,98489104,98519427,98699128,98865086,99395990,99426640,99583613,...,351786370299361807730094531101562307416320421747847425171861774869889099618192061781681685216988308010086986346250153587600667665313240234565195017082245604110522440584687989475720862336771694528520238191801713728547006984903065194527217860481463299164169400662430992203637574703218209637724842027112919250595832790309215806470379946052793216765574619065794199459170161348081721289224597914768213125798580709984605508089790850134141285327149935241676622089628959081546656142963612037334303481270667221593516900037691247874087912704810357963894841189485196229838029828526042323827299059682271063541561168266651332927636187249274029428139553659681737177601505843444134713817454466534117656170622224187821545885537993555398633002199237053331148644137521992688553437226893496403009692541086140714088152653065708930509248289383149940939095563406605193093474083324416489311325433724765131076746702875251318551486110000754733672033691657259305115551387317181818835927424446742029899831341613165407731951736875960333532012995842399469004300359241103719983489288185547269886072197312449174689362539214014528414032787076817258923968503896853001175452885794037448624877781497532899122581076652780810383153097815954811273871410637960472733580346293883117309318513972667003515188470860209419627001074130367140475554357807408961731175615867350552415964411632550074010710824266015191706684023790453773965147132230622188091798300013766161611373155566098894739903248079729299329072600672824531316823920062283420153067739443013376584247114305717930344885066621894135075049817274521811097617704763927437626431332594445363082164445874264109609120814448104867509569194396136289057749700214439775358497082765456130516545807273976520632953800484959939661249255310621759859837983487593421367039543435441673590299994173406684992832048077969615047486006934730831003962196000201973362602671165015138558190981511198409056515423131443774051873714328175304175545321728274456926423225152952231458040864177280345751591181886236651887392279540685976123516249751509867607248419784227377454192802032967183264581714452382980162113549673052807152719790307313670492183402701093386724627942127496936413920529226558794286872230286186957916068800970227748840817322144772870727123425612103079238033050186274343196460906773771809644287225792988742329087734893503789160084587217916506686276229458242526018526879579000088229017200834232245586000036975886774900667709422557072765477843716585952685760883767207322184911534907397994621165827305492760049468111191634783579486367200048048308370216012903617962690317346821259057709207013088969013125261855790231648596321932750478799059427374141212362113251332899045129873477348504208120086129298410359174925642592368760026507671444129847814372020759302859761542590070696799311661830697073560796299427790593479160086388082112313775785127729066652844850853819340273669594029322842333255506297827925415870191240651339968944860638193856453864226314006228279874244158122177929824195436598693698502646840212110123870236939925891503068012230732513831340337478444128288849665179214356061948888697395166739480384286382266725197682194132445231962787531029601347018135596210880935653989765691044287981367251844646870780178318327441742827698489669445314990729726659915279674438771661870254250161869476342875815169553754477768282509529359016606695195060126972697087318447703844680774149475604427594234252316487287520824654502197448455234573523360331007196982400868276440551209441853596621401833741862677956471933211285637867369794120937349177913602541790894481615461664901211359701083655022377938698686352563483707280489712014899731025674603688897266989652686035593363377290211050472988126499331614764953090753239574935900270521813940283249187940343758037497876457091134192743209172712113994271288766531461399635959814127700808988508398534429355285933197647969552804155204670885727404923646837020976399186667318688498551271793546341194392152956271749341871772179726923641415219484691743016785226888368451084092205444790251373441855329560068291387439453074772841147422124191250303010940140475655058449476858073557371618539515099117631277454580363575737931704461125971415172104241740907294887688163155327803184724537669139861014034943525587589188827387236374591322419540703701233634463558200209214581909336802520798156929532349339773697004356953427707873876067330933418408672083095288552990071345195238175403239109064324856199545528832344775803632445885455052544583260508041660340806181216980059888928790470587952561336329138481759944509392914922681702082165580490062660886801758674306007641115621439980842705464381244942367196732431926357874458502422450295656216149873419363163485581443369167390661489675167616066335056035967479602568589370525939322712866948365695996527063665107574031704024247645272729721749639785642173668600900385181799676812}
30368  862753207930288541505955220163939971900962634717232734925720745337700361968305582766277: {1153186,1848727,2063596,2607778,2791372,2849986,2936287,3213178,3298231,3576226,3840607,4422778,4743127,4972972,5463847,5872186,5917665,6003631,6312176,6475426,6837178,6901831,7010157,7101198,8156287,8335207,8345425,8603212,8647185,9223664,9846178,10014510,10376622,10409021,10429736,10682144,10806946,10831737,11365831,11733453,11886586,12017412,12253231,12607687,12894925,13016289,13683106,13802746,14041978,14552047,14870030,15473910,15476026,15834178,16192186,16505504,16669306,16829265,17844036,17951216,18064927,18356305,18456226,18568692,18646185,19327217,19889264,20171596,20195118,20239546,21189178,21242900,21370665,21549007,21895831,22027566,22375422,22415527,22761631,22795376,22966978,23280247,24094065,24933416,25095586,25491480,25644798,25700336,26275906,26380616,26865466,27190912,27364396,27610310,28050093,28430767,28677915,28912878,29102146,29678193,29807266,29963287,30042178,30233452,30347000,30444465,30589776,31020429,32474096,32621986,32673367,32707598,33132372,33558178,33607976,34140375,34295313,34376506,34413498,35029567,35243212,35867647,36035047,36127426,36416400,36477178,36494888,36533358,37538407,37808973,38099596,38223778,38844160,39263105,39443300,39753453,40411785,40546978,40968450,41013489,41056749,41848687,42178231,42375532,43000831,43105904,43441978,43699680,43702088,44149447,44841801,45457831,45621065,45842385,45947287,46060637,46273231,46580936,46612992,46725140,47006157,47115726,47132986,47331960,47574127,48116253,48365185,48494142,48556065,48708631,48898544,48972346,49162140,49164849,49546306,49839607,50000887,50487424,50806207,51127831,51793136,52066978,52251247,52403553,52439616,53020012,53248455,53767976,54693946,54745278,55010862,55149946,55203656,56070168,56090150,56572761,56798352,56857666,57183967,57426106,57766978,58038222,58267278,58670572,58994568,59074831,59281465,59809186,60488973,60601978,60656313,60898817,60941506,60979809,61092785,62104113,62108265,62298178,62636986,63078939,63371937,63756631,63898146,64066447,64216186,64221247,64839727,65172950,65237288,65611207,65679778,65800910,66248816,66368889,66380887,66750200,67308180,67348525,67521585,68831767,69270946,69606778,69704193,69797021,70202287,70725178,70961167,71128065,71137758,71618746,71795392,72023024,72065146,72371453,72624367,72902765,73311342,73391949,73831665,73978687,74128807,74529918,74960506,75093975,75738178,75869936,75960226,76209772,76464561,76626221,76907596,78207540,78335265,78753776,78961092,79337647,80011841,80100240,80769816,80818230,81025902,81035985,81396487,82128367,82912269,82921978,83175052,83251906,83255704,83421376,83557616,83796296,84388909,84708065,84748231,85353678,85440256,85886146,86177966,86206112,86361737,86434185,86438384,86543266,86998310,87483318,87855778,88348231,88597998,89271785,89275066,89348167,89487176,89490727,89493178,89820226,90030585,90112770,90545777,90866043,90908456,91515153,92196464,92431426,92745821,92757178,93662667,93849048,94001300,94002318,94058746,94259596,94270833,94714831,95134087,95466178,95790586,96032624,96120288,96396817,96981876,97082047,97220647,97243182,97302586,97367153,97708396,97949626,97980753,98300785,98703778,99291007,99710030,99994786,...,527679555449042711595141796652343461124480632621771137757792662304833649427288092672522527825482462015130479519375230381401001497969860351847792525623368406165783660877031984213581293505157541792780357287702570592820510477354597791790826790722194948746254100993646488305456362054827314456587263040669378875893749185463823709705569919079189825148361928598691299188755242022122581933836896872152319688697871064976908262134686275201211927990724902862514933134443438622319984214445418056001455221906000832390275350056536871811131869057215536945842261784227794344757044742789063485740948589523406595312341752399976999391454280873911044142209330489522605766402258765166202070726181699801176484255933336281732318828306990333097949503298855579996722966206282989032830155840340244604514538811629211071132228979598563395763872434074724911408643345109907789640211124986624733966988150587147696615120054312876977827229165001132100508050537485888957673327080975772728253891136670113044849747012419748111597927605313940500298019493763599203506450538861655579975233932278320904829108295968673762034043808821021792621049180615225888385952755845279501763179328691056172937316672246299348683871614979171215574729646723932216910807115956940709100370519440824675963977770959000505272782706290314129440501611195550710713331536711113442596763423801025828623946617448825111016066236399022787560026035685680660947720698345933282137697450020649242417059733349148342109854872119593948993608901009236796975235880093425130229601609164520064876370671458576895517327599932841202612574725911782716646426557145891156439646998891668044623246668811396164413681221672157301264353791594204433586624550321659663037745624148184195774818710910964780949430700727439909491873882965932639789756975231390132050559315153162510385449991260110027489248072116954422571229010402096246505943294000302960043904006747522707837286472266797613584773134697165661077810571492262956263317982592411685389634837729428347187061296265920518627386772829354977831088419311028964185274374627264801410872629676341066181289203049450774896872571678574470243170324509579210729079685460970505738275104051640080086941913191245404620880793839838191430308345429280436874103201455341623261225983217159306090685138418154618857049575279411514794691360160657714466430838689483113493631602340255683740126880826874760029414344187363789027790319368500132343525801251348368379000055463830162351001564133835609148216765574878929028641325650810983277367302361096991931748740958239140074202166787452175369229550800072072462555324019355426944035476020231888586563810519633453519687892783685347472894482899125718198589141061211818543169876999348567694810216022756312180129193947615538762388463888553140039761507166194771721558031138954289642313885106045198967492746045610341194449141685890218740129582123168470663677691593599979267276280729010410504391043984263499883259446741888123805286860977009953417290957290784680796339471009342419811366237183266894736293154898040547753970260318165185805355409888837254602018346098770747010506217666192433274497768821534092923333046092750109220576429573400087796523291198667847944181296544402020527203394316321403480984648536566431972050877766970306170267477491162614241547734504167972486094589989872919511658157492805381375242804214514313722754330631716652423764294038524910042792590190459045630977671555767021161224213406641391351378474730931281236981753296172682851860285040496510795473601302414660826814162780394932102750612794016934707899816928456801054691181406023766870403812686341722423192497351817039551625482533566908048029528845225560920734568022349596538511905533345900484479029053390045065935316575709482189748997422147429636129859362403850405782720910424873781910515637056246814685636701289114813759068170991406933149797192099453939721191551213482762597801644032928899796471954329206232807006328591107385470255531464598780000978032747826907690319511791588229434407624012807658269590385462122829227037614525177840332552676626138308167185377060162782994340102437081159179612159261721133186286875454516410210713482587674215287110336057427809272648676446916181870545363606897556691688957122758156362611360942331532244732991704777086806503709791521052415288381383783241080854561886983629311055551850451695337300313821872864005203781197235394298524009660545506535430141561810814100996400127613008124642932829485107017792857263104858663596487284299318293248517163705448668828182578816874890762062490511209271825470089833393185705881928842004493707722639916764089372384022553123248370735093991330202638011459011461673432159971264058196571867413550795098647889536811687753633675443484324224810129044745228372165053751085992234512751424099502584053951219403852884055788908984069300422548543994790595497661361047556036371467909094582624459678463260502901350577772699515218}
30369  865418461001014565444808384955796882025265869846112752015554617067140642949849183289694: {60734,1729779,2579495,3095394,3489215,3671987,3911667,4187058,4274979,4819767,5364339,5523154,5673767,6216215,6634167,7459458,7890220,8070706,8808279,9126019,9346876,9468264,9713139,10255258,10255767,10651797,10754015,11529580,12904818,13037170,13352680,13835496,14442316,14583439,14769267,14949239,15021765,15564933,15644604,15707314,16023216,16040867,16210419,16944967,17355052,17403106,17829879,17857891,18026118,19945954,20524659,20631880,20704119,21062967,21310039,21816739,22305045,22439020,22487794,23083039,23210865,23214039,23751267,23792048,24288279,24440338,24679666,24758256,24760819,24861580,25003959,25214495,26553625,26766054,26926824,27684339,27853038,28414834,28494220,28676098,29125027,29370088,29406979,29633351,29833896,30257394,30292677,30359319,30383879,31166770,31783767,31864350,31933027,31956226,32125420,32313658,32975770,33041349,33411538,33563133,33988640,34193064,34205495,34450467,36927167,37035154,37400124,37643379,37717666,37791815,37933750,38133754,38156599,38237220,38239327,38467197,38550504,39413859,39570924,40298199,40508767,40592620,40758319,40786368,41046594,41289359,41360572,41415465,42009970,42709559,42786226,43226338,43369317,43653219,44054015,44176496,44308834,44710899,45063267,45318994,45350178,45436771,45520500,45618610,45727084,45884664,47046979,47218306,47624495,48044698,48303199,48555200,48711144,48932979,49061397,49304125,49698558,50337267,50411964,51564759,51582514,51620247,52864818,52969415,53004604,53882380,54191139,54491986,54624600,54627610,54684652,54715767,54742332,54800037,55756279,57082627,57149394,57335667,57967714,58226170,58266240,58406425,59164950,59789068,60820467,61123180,61452675,62150656,62323871,62629111,62674876,62820968,62872867,63020146,63109280,63563298,64155004,64572706,64658856,64741420,65162967,65324818,65358887,65549520,65553132,66275015,66386194,67209970,68321647,68553298,68909554,69004570,69871404,69919488,70087710,70673589,70699479,70997940,72741213,72848741,72928099,72993704,73112914,73220711,73321759,73338215,73347816,73458519,73743210,74104291,74319459,74760224,75400079,75430348,75633586,75731136,76504199,77384296,77689704,78100467,78301279,78659424,79182851,79444378,79530018,79544899,79787251,80651964,80671906,80761138,80875084,81306412,81307906,81546610,81729559,82040919,82117917,82516293,82724919,82805484,82811020,82942234,83437750,84028546,84105252,84135225,84495916,85197528,85286499,86139159,86650467,87057333,87176179,87355567,87400917,88005858,88429519,88491852,88848058,89033351,89713779,89744240,90028780,90867538,90902967,90934687,91412259,92938924,93447267,93489139,93955479,94087714,94837420,94850344,94964167,95262215,95762674,95847219,96134495,96324279,97748456,97759425,97855932,97932767,98442220,98519667,98701365,99373224,99774394,...,791519333173564067392712694978515191686720948932656706636688993457250474140932139008783791738223693022695719279062845572101502246954790527771688788435052609248675491315547976320371940257736312689170535931553855889230765716031896687686240186083292423119381151490469732458184543082240971684880894561004068313840623778195735564558354878618784737722542892898036948783132863033183872900755345308228479533046806597465362393202029412801817891986087354293772399701665157933479976321668127084002182832859001248585413025084805307716697803585823305418763392676341691517135567114183595228611422884285109892968512628599965499087181421310866566213313995734283908649603388147749303106089272549701764726383900004422598478242460485499646924254948283369995084449309424483549245233760510366906771808217443816606698343469397845093645808651112087367112965017664861684460316687479937100950482225880721544922680081469315466740843747501698150762075806228833436509990621463659092380836705005169567274620518629622167396891407970910750447029240645398805259675808292483369962850898417481357243662443953010643051065713231532688931573770922838832578929133767919252644768993036584259405975008369449023025807422468756823362094470085898325366210673935411063650555779161237013945966656438500757909174059435471194160752416793326066069997305066670163895145135701538742935919926173237666524099354598534181340039053528520991421581047518899923206546175030973863625589600023722513164782308179390923490413351513855195462853820140137695344402413746780097314556007187865343275991399899261803918862088867674074969639835718836734659470498337502066934870003217094246620521832508235951896530687391306650379936825482489494556618436222276293662228066366447171424146051091159864237810824448898959684635462847085198075838972729743765578174986890165041233872108175431633856843515603144369758914941000454440065856010121284061755929708400196420377159702045748491616715857238394434394976973888617528084452256594142520780591944398880777941080159244032466746632628966543446277911561940897202116308944514511599271933804574176162345308857517861705364755486764368816093619528191455758607412656077460120130412869786868106931321190759757287145462518143920655311154802183012434891838974825738959136027707627231928285574362919117272192037040240986571699646258034224670240447403510383525610190321240312140044121516281045683541685479052750198515288701877022552568500083195745243526502346200753413722325148362318393542961988476216474916050953541645487897623111437358710111303250181178263053844326200108108693832986029033140416053214030347832879845715779450180279531839175528021209341724348688577297883711591817727814754815499022851542215324034134468270193790921423308143582695832829710059642260749292157582337046708431434463470827659067798451239119068415511791673712528835328110194373184752705995516537390399968900914421093515615756586565976395249824889170112832185707930291465514930125936435936177021194509206514013629717049355774900342104439732347060821630955390477247778708033114833255881903027519148156120515759326499288649911746653232301139384999569139125163830864644360100131694784936798001771916271944816603030790805091474482105221476972804849647958076316650455459255401216236743921362321601756251958729141884984809379267487236239208072062864206321771470584131495947574978635646441057787365064188885285688568446466507333650531741836320109962087027067712096396921855472629944259024277790427560744766193210401953621991240221244170592398154125919191025402061849725392685201582036772109035650305605719029512583634788746027725559327438223800350362072044293267838341381101852033524394807767858300018850726718543580085067598902974863564223284623496133221144454194789043605775608674081365637310672865773455584370222028455051933672220638602256487110399724695788149180909581787326820224143896702466049393349694707931493809349210509492886661078205383297196898170001467049121740361535479267687382344151611436019211487404385578193184243840556421787766760498829014939207462250778065590244174491510153655621738769418238892581699779430313181774615316070223881511322930665504086141713908973014670374272805818045410346335037533435684137234543917041413497298367099487557165630209755564687281578622932572075674861621281842830475443966583327775677543005950470732809296007805671795853091447786014490818259803145212342716221151494600191419512186964399244227660526689285894657287995394730926448977439872775745558173003242273868225312336143093735766813907738205134750089778558822893263006740561583959875146134058576033829684872556102640986995303957017188517192510148239956896087294857801120326192647971834305217531630450513165226486337215193567117842558247580626628988351769127136149253876080926829105779326083683363476103950633822815992185893246492041571334054557201863641873936689517694890754352025866659049272827}
30370  868091899967296919045463388798412652488574969834882838545937439812784267221792962743917: {91101,697981,879889,1425181,2306372,3057169,3697454,4127192,4643091,5043901,5215556,5224081,5582744,5699972,5872574,6280587,6426356,6596462,7021921,7152452,7559869,7681214,7739041,8284731,8455009,8845556,9348349,9486254,9862775,9945944,10773949,10927694,11189187,11683595,11744372,11835330,12007262,12106059,12624352,12950852,13257661,13434529,13674356,13803662,14020314,14202396,14411975,14670589,15023101,15382887,16312574,16670414,16690850,17206424,17294370,18052895,18357601,18447328,19230781,19357227,19405201,19555755,19692356,20029020,20753244,20797969,20818042,20859472,21364288,21613892,21663474,21693815,22731662,23466906,23560971,23569681,23773172,24034824,24506462,24776509,25215374,25698827,25789850,26032578,26104659,26151421,27039177,27366212,27605492,27692689,27863581,28048775,28083956,28546429,28887421,29104094,29740060,29918931,30248509,30947820,30952052,31076975,31668356,32384372,33011008,33338612,33658530,33731691,33967741,35479201,35617775,35646781,35688072,35902432,36129854,36660507,36712610,36912452,37019499,37137384,37292370,37985341,38654434,39481249,39778528,40149081,40156775,40343192,40390236,40479092,40806049,41779557,42378356,42485800,42622251,42741330,43014147,43098014,43277629,43605949,43791662,44055132,44750844,44752801,44831054,45386091,45523262,45590752,45933956,46547869,46560494,46750155,47796525,47847901,47934339,48188130,48470487,48981649,49304929,49463655,49866832,50117307,50191172,50740775,50982960,51289596,51400672,51700715,51720349,52041181,52551812,52761232,53321629,53481361,53730932,54278941,54381824,54728792,54915709,54968347,55220620,55552731,56100186,56576499,56861534,56900625,57158855,57200631,57355830,57825756,58204292,58397341,58869409,59026621,59356386,59614532,59926574,60084356,60438289,60466904,60694000,60888930,61179552,61569891,62040858,62155741,63014955,63864481,63869491,64179339,64839507,64948192,65243972,65346734,65415196,65564509,65872669,66255755,66264744,66463251,67116356,67215952,67352975,67562401,67711259,67715581,67978491,68025267,68280750,68355815,68427915,68590626,68753012,68826996,69090961,70059134,70486424,70764061,70827459,71672989,71735294,71975389,72067047,72070094,72254852,72730129,72832800,72954356,72989776,73031521,73066716,74547837,74736335,75076814,75617946,76029601,76199192,76403975,76447556,76923409,77373771,77666269,77688320,78259261,78343595,78526210,78703249,78886600,79297227,79506906,80193755,80619709,80823570,80926775,81093956,81206941,81737979,81936900,81941415,82026978,82113498,82994051,83107489,83697374,84271009,84356462,84751064,85529899,85724091,86001662,86211808,86728189,86883956,86951571,87339255,87399360,87404176,88298894,88747425,89683602,90729949,90915662,91242130,91438609,91684770,91894574,92121274,92546462,92850529,93161872,93225984,93272701,93450280,93834589,94012314,94231452,94265972,94287935,94530219,94663920,95148254,95344947,95373841,96209761,96232506,96730370,96859059,96988284,97112130,97417262,97735549,97797088,97944692,97987227,98012029,98150161,98324280,98329698,98701969,99092612,99579291,99679214,99732347,...,1055359110898085423190283593304686922248961265243542275515585324609667298854576185345045055650964924030260959038750460762802002995939720703695585051246736812331567321754063968427162587010315083585560714575405141185641020954709195583581653581444389897492508201987292976610912724109654628913174526081338757751787498370927647419411139838158379650296723857197382598377510484044245163867673793744304639377395742129953816524269372550402423855981449805725029866268886877244639968428890836112002910443812001664780550700113073743622263738114431073891684523568455588689514089485578126971481897179046813190624683504799953998782908561747822088284418660979045211532804517530332404141452363399602352968511866672563464637656613980666195899006597711159993445932412565978065660311680680489209029077623258422142264457959197126791527744868149449822817286690219815579280422249973249467933976301174295393230240108625753955654458330002264201016101074971777915346654161951545456507782273340226089699494024839496223195855210627881000596038987527198407012901077723311159950467864556641809658216591937347524068087617642043585242098361230451776771905511690559003526358657382112345874633344492598697367743229958342431149459293447864433821614231913881418200741038881649351927955541918001010545565412580628258881003222391101421426663073422226885193526847602051657247893234897650222032132472798045575120052071371361321895441396691866564275394900041298484834119466698296684219709744239187897987217802018473593950471760186850260459203218329040129752741342917153791034655199865682405225149451823565433292853114291782312879293997783336089246493337622792328827362443344314602528707583188408867173249100643319326075491248296368391549637421821929561898861401454879818983747765931865279579513950462780264101118630306325020770899982520220054978496144233908845142458020804192493011886588000605920087808013495045415674572944533595227169546269394331322155621142984525912526635965184823370779269675458856694374122592531841037254773545658709955662176838622057928370548749254529602821745259352682132362578406098901549793745143357148940486340649019158421458159370921941011476550208103280160173883826382490809241761587679676382860616690858560873748206402910683246522451966434318612181370276836309237714099150558823029589382720321315428932861677378966226987263204680511367480253761653749520058828688374727578055580638737000264687051602502696736758000110927660324702003128267671218296433531149757858057282651301621966554734604722193983863497481916478280148404333574904350738459101600144144925110648038710853888070952040463777173127621039266907039375785567370694945788965798251436397178282122423637086339753998697135389620432045512624360258387895231077524776927777106280079523014332389543443116062277908579284627770212090397934985492091220682388898283371780437480259164246336941327355383187199958534552561458020821008782087968526999766518893483776247610573721954019906834581914581569361592678942018684839622732474366533789472586309796081095507940520636330371610710819777674509204036692197541494021012435332384866548995537643068185846666092185500218441152859146800175593046582397335695888362593088804041054406788632642806961969297073132863944101755533940612340534954982325228483095469008335944972189179979745839023316314985610762750485608429028627445508661263433304847528588077049820085585180380918091261955343111534042322448426813282782702756949461862562473963506592345365703720570080993021590947202604829321653628325560789864205501225588033869415799633856913602109382362812047533740807625372683444846384994703634079103250965067133816096059057690451121841469136044699193077023811066691800968958058106780090131870633151418964379497994844294859272259718724807700811565441820849747563821031274112493629371273402578229627518136341982813866299594384198907879442383102426965525195603288065857799592943908658412465614012657182214770940511062929197560001956065495653815380639023583176458868815248025615316539180770924245658454075229050355680665105353252276616334370754120325565988680204874162318359224318523442266372573750909032820421426965175348430574220672114855618545297352893832363741090727213795113383377914245516312725222721884663064489465983409554173613007419583042104830576762767566482161709123773967258622111103700903390674600627643745728010407562394470788597048019321091013070860283123621628201992800255226016249285865658970214035585714526209717327192974568598636586497034327410897337656365157633749781524124981022418543650940179666786371411763857684008987415445279833528178744768045106246496741470187982660405276022918022923346864319942528116393143734827101590197295779073623375507267350886968648449620258089490456744330107502171984469025502848199005168107902438807705768111577817968138600845097087989581190995322722095112072742935818189165248919356926521005802701155545399030436}
30371  870773549824979101291478010121078816598493998137849554216679169615411398806794285058309: {121468,2882965,3459558,3611293,4339621,4884901,5158990,5546181,6190788,6341269,6519445,6705361,6978430,7124965,7343974,7823334,8032945,8374116,8549958,8702701,8808861,8940565,9639534,9894693,10728678,11046308,11056945,11347534,11521821,12341461,12432430,13268334,13673869,14229381,14680465,14918916,15055621,15671821,15780440,15980221,16141412,16188565,16391541,16707973,17092945,17616558,17668981,17752995,18010893,18252038,18693752,18936528,19426278,20222773,20510516,20511534,20705493,21030471,21128161,21303594,21508030,22325941,23059160,24215293,24468861,24615445,25005621,25036275,25493233,25809636,25941555,26074340,26705360,27017365,27670992,28579501,28884632,29166878,29538534,29635309,29716465,29898478,30043530,31129866,31227063,31289208,31413841,31414628,32046432,32081734,32420838,32495211,33617749,33889934,33958453,34097493,34207765,34506865,34710104,34806212,35021233,35104945,35200359,35300293,35607781,35659758,35715782,36052236,36759693,37175075,37823061,38684775,38690065,39048867,39585445,39891908,40480465,41049318,41263760,41408238,41673265,42125934,42620078,42712381,43633478,43656141,44136901,44610090,44878040,44975588,45546061,45954481,46140565,46166078,46421730,46428078,47502534,47584096,47734213,47887693,48576558,48880676,49359332,49515829,49516512,49521638,49723160,50007918,50428990,50487795,50598865,51944401,52160581,52908541,52972945,53107250,53532108,53853648,54143221,54194781,54998773,55068915,55368678,55706076,55938555,56829668,56988440,57352196,57417445,57445861,57981651,58092961,58250054,58740176,58813958,59266702,59426389,59667792,60514788,60585354,60718638,60767758,61675621,61940173,62327989,62333540,62738965,63385069,63567534,63728700,63866054,63912452,64079473,64111995,64250840,64627316,64647021,65687493,65689765,65951540,66022429,66082698,66622069,66674293,66823076,67126266,67163665,67246581,67306621,67977280,68284893,68386128,68410990,68900934,69025775,69840741,72282195,72755365,72833413,73225549,73854334,73926061,74070308,74157181,74423101,74518165,74800248,75105445,75242101,75286758,75405061,75435332,75583630,75702769,75867500,76267508,76313198,76474440,76478654,76792453,76934394,77101008,77242321,77531101,78082993,78827718,79141848,79845469,80595793,80596398,81017534,81185240,81516638,81554965,81572736,81768995,82093188,82578718,82721144,82830930,83130949,83895445,84019940,84150279,85101181,85292301,85419118,85504693,85572452,85700893,85941265,86033745,86452676,86738634,87070621,87306438,88083949,88108030,88352992,88575889,88617668,88762321,89034579,89039269,89421798,89695309,89889861,90126534,90318565,90637988,90700356,90873542,91041000,91192945,91237220,91333395,91454168,91769328,92785021,93061287,93579733,94093958,94436612,94619893,95194861,95248990,95559445,96089396,96606398,97110400,97422288,97865958,98020101,98122794,98608250,98958241,99397116,...,1583038666347128134785425389957030383373441897865313413273377986914500948281864278017567583476447386045391438558125691144203004493909581055543377576870105218497350982631095952640743880515472625378341071863107711778461531432063793375372480372166584846238762302980939464916369086164481943369761789122008136627681247556391471129116709757237569475445085785796073897566265726066367745801510690616456959066093613194930724786404058825603635783972174708587544799403330315866959952643336254168004365665718002497170826050169610615433395607171646610837526785352683383034271134228367190457222845768570219785937025257199930998174362842621733132426627991468567817299206776295498606212178545099403529452767800008845196956484920970999293848509896566739990168898618848967098490467521020733813543616434887633213396686938795690187291617302224174734225930035329723368920633374959874201900964451761443089845360162938630933481687495003396301524151612457666873019981242927318184761673410010339134549241037259244334793782815941821500894058481290797610519351616584966739925701796834962714487324887906021286102131426463065377863147541845677665157858267535838505289537986073168518811950016738898046051614844937513646724188940171796650732421347870822127301111558322474027891933312877001515818348118870942388321504833586652132139994610133340327790290271403077485871839852346475333048198709197068362680078107057041982843162095037799846413092350061947727251179200047445026329564616358781846980826703027710390925707640280275390688804827493560194629112014375730686551982799798523607837724177735348149939279671437673469318940996675004133869740006434188493241043665016471903793061374782613300759873650964978989113236872444552587324456132732894342848292102182319728475621648897797919369270925694170396151677945459487531156349973780330082467744216350863267713687031206288739517829882000908880131712020242568123511859416800392840754319404091496983233431714476788868789953947777235056168904513188285041561183888797761555882160318488064933493265257933086892555823123881794404232617889029023198543867609148352324690617715035723410729510973528737632187239056382911517214825312154920240260825739573736213862642381519514574290925036287841310622309604366024869783677949651477918272055415254463856571148725838234544384074080481973143399292516068449340480894807020767051220380642480624280088243032562091367083370958105500397030577403754045105137000166391490487053004692401506827444650296724636787085923976952432949832101907083290975795246222874717420222606500362356526107688652400216217387665972058066280832106428060695665759691431558900360559063678351056042418683448697377154595767423183635455629509630998045703084430648068268936540387581842846616287165391665659420119284521498584315164674093416862868926941655318135596902478238136831023583347425057670656220388746369505411991033074780799937801828842187031231513173131952790499649778340225664371415860582931029860251872871872354042389018413028027259434098711549800684208879464694121643261910780954495557416066229666511763806055038296312241031518652998577299823493306464602278769999138278250327661729288720200263389569873596003543832543889633206061581610182948964210442953945609699295916152633300910918510802432473487842724643203512503917458283769969618758534974472478416144125728412643542941168262991895149957271292882115574730128377770571377136892933014667301063483672640219924174054135424192793843710945259888518048555580855121489532386420803907243982480442488341184796308251838382050804123699450785370403164073544218071300611211438059025167269577492055451118654876447600700724144088586535676682762203704067048789615535716600037701453437087160170135197805949727128446569246992266442288908389578087211551217348162731274621345731546911168740444056910103867344441277204512974220799449391576298361819163574653640448287793404932098786699389415862987618698421018985773322156410766594393796340002934098243480723070958535374764688303222872038422974808771156386368487681112843575533520997658029878414924501556131180488348983020307311243477538836477785163399558860626363549230632140447763022645861331008172283427817946029340748545611636090820692670075066871368274469087834082826994596734198975114331260419511129374563157245865144151349723242563685660950887933166655551355086011900941465618592015611343591706182895572028981636519606290424685432442302989200382839024373928798488455321053378571789314575990789461852897954879745551491116346006484547736450624672286187471533627815476410269500179557117645786526013481123167919750292268117152067659369745112205281973990607914034377034385020296479913792174589715602240652385295943668610435063260901026330452972674430387134235685116495161253257976703538254272298507752161853658211558652167366726952207901267645631984371786492984083142668109114403727283747873379035389781508704051733318098545654}
30372  873463435645787051584281243891183266880327145064260508656706242823028453435158394541204: {151835,182202,940571,1395962,1606907,1759778,1788467,2393147,2850362,3057371,3117707,3419267,3961571,4503227,4612744,5189337,5764571,6114338,6363971,7022387,7201787,7394908,7738485,7918667,8097707,8254384,8455571,8515187,9286182,9408467,10087802,10431112,10448162,10467645,10774667,11015961,11165488,11399944,11485787,11663387,11735001,11745148,12561174,12824937,12852712,13192924,13807885,14043842,14304904,14459301,14671571,14906627,15119738,15200267,15362428,15478082,15552371,16093017,16357033,16569462,16910018,16957907,17021301,17691112,18242267,18417107,18648645,18696698,18766571,18972508,19725550,19891888,19902501,20176765,20799371,21031067,21547898,21855388,21898787,22014347,22378374,22533971,22880027,23367190,23488744,23670660,24014524,24212118,25248704,25274053,25638145,25901704,26424837,26515322,26869058,27067307,27348712,27352547,27378057,27607324,28040628,28404792,28548371,28823950,28889387,29139417,29341178,29627267,30046202,30307187,30371341,30476987,30765774,30767301,31098971,31324907,31955391,32262045,32283707,32592925,32625148,33015347,33340828,33381700,33633371,33970067,34194371,34412848,34474571,34588740,34810547,36105790,36374627,36715202,36894656,38461562,38714454,38810402,39111510,39268285,39384712,40058040,41194427,41506488,41595938,41634587,41636084,41718944,41964371,42513371,42728576,43116347,43227784,43326948,43387630,43507765,43750317,44307801,44847717,44919467,45065295,45463324,45464147,45572987,46062371,46388267,46551107,46605371,46694799,46933812,47121942,47139362,47546344,47905307,48069648,48122601,48631257,48985067,49012924,49362227,49553018,49846571,49864885,50169107,50430748,50834901,51397654,51456371,51579700,52044827,52065156,52209318,52258571,52302842,53378627,53489637,53538347,53573673,54078354,54732424,54972587,55210984,55385378,55727162,56097550,56167912,56189747,56219485,57092858,57774842,58138907,58208188,58401467,58925987,59083187,59480120,59837862,60494747,60497018,60755507,60963971,61100845,61573977,61699165,61895640,61904104,62112357,62153950,62523371,63188901,63336712,63869027,63930117,64768744,65450217,65620571,66022016,66390371,66677224,66851387,66915135,67317060,67413971,67463382,67935482,69249117,69632595,69642117,70212371,70920827,70958402,71037085,71235550,71253801,71293562,71376144,71678147,71690245,71804864,72030947,72259708,72381001,72433667,72735371,72864837,73036787,73321014,73425220,73824904,73989371,74038998,74274768,74282457,74289587,74584740,74689427,75011877,75188507,75643485,75736571,75970682,76928987,76978571,77308868,77916925,78017987,78264947,78962498,79557056,79660875,79890565,80022397,80298162,80313550,80686384,80780472,80784145,80958184,81212867,81612098,82383971,82439425,83053017,83528845,83559114,84277187,84756712,84971600,85002107,85244502,85482660,86028294,86196028,86494571,86555258,87211898,87375081,87583324,87644747,88110264,88220937,88900053,89313827,89501688,89505602,89646467,89662108,90026147,90772182,90783971,90878031,91046524,91077957,91151637,91181504,91492571,91867912,92011067,92587885,92758057,93095738,93120988,93326507,93500310,93841571,94294165,94308971,94822187,94834375,94961987,95334385,95351301,95427467,95593050,95695802,95698141,95706371,95799081,95868678,96376260,96680267,96940974,97373747,97742867,97963298,98019371,98065427,98479571,98609858,98927310,99124047,99580787,99733664,...,2374557999520692202178138084935545575060162846797970119910066980371751422422796417026351375214671079068087157837188536716304506740864371583315066365305157827746026473946643928961115820773208938067511607794661567667692297148095690063058720558249877269358143454471409197374553629246722915054642683683012204941521871334587206693675064635856354213167628678694110846349398589099551618702266035924685438599140419792396087179606088238405453675958262062881317199104995473800439928965004381252006548498577003745756239075254415923150093410757469916256290178029025074551406701342550785685834268652855329678905537885799896497261544263932599698639941987202851725948810164443247909318267817649105294179151700013267795434727381456498940772764844850109985253347928273450647735701281531100720315424652331449820095030408193535280937425953336262101338895052994585053380950062439811302851446677642164634768040244407946400222531242505094452286227418686500309529971864390977277142510115015508701823861555888866502190674223912732251341087721936196415779027424877450109888552695252444071730987331859031929153197139694598066794721312768516497736787401303757757934306979109752778217925025108347069077422267406270470086283410257694976098632021806233190951667337483711041837899969315502273727522178306413582482257250379978198209991915200010491685435407104616228807759778519712999572298063795602544020117160585562974264743142556699769619638525092921590876768800071167539494346924538172770471240054541565586388561460420413086033207241240340291943668021563596029827974199697785411756586266603022224908919507156510203978411495012506200804610009651282739861565497524707855689592062173919951139810476447468483669855308666828880986684199099341514272438153273479592713432473346696879053906388541255594227516918189231296734524960670495123701616324526294901570530546809433109276744823001363320197568030363852185267789125200589261131479106137245474850147571715183303184930921665852584253356769782427562341775833196642333823240477732097400239897886899630338833734685822691606348926833543534797815801413722528487035926572553585116094266460293106448280858584574367275822237968232380360391238609360604320793963572279271861436387554431761965933464406549037304675516924477216877408083122881695784856723088757351816576111120722959715098938774102674010721342210531150576830570963720936420132364548843137050625056437158250595545866105631067657705500249587235730579507038602260241166975445086955180628885965428649424748152860624936463692869334312076130333909750543534789161532978600324326081498958087099421248159642091043498639537147338350540838595517526584063628025173046065731893651134775453183444264446497068554626645972102403404810581372764269924430748087498489130178926782247876472747011140125294303390412482977203395353717357205246535375021137586505984330583119554258117986549612171199906702743263280546847269759697929185749474667510338496557123790874396544790377809307808531063583527619542040889151148067324701026313319197041182464892866171431743336124099344499767645709082557444468361547277979497865949735239959696903418154998707417375491492593933080300395084354810394005315748815834449809092372415274423446315664430918414548943874228949951366377766203648710231764086964805268755876187425654954428137802461708717624216188592618965314411752394487842724935906939323173362095192566655857065705339399522000951595225508960329886261081203136289190765566417889832777072833371282682234298579631205860865973720663732511777194462377757573076206185549176178055604746110316327106950916817157088537750904366238083176677982314671401051086216132879803515024143305556100573184423303574900056552180155630740255202796708924590692669853870488399663433362584367130817326826022244096911932018597320366753110666085365155801016661915806769461331199174087364447542728745361980460672431690107398148180049084123794481428047631528478659983234616149891590694510004401147365221084606437803062147032454834308057634462213156734579552731521669265363300281496487044817622386752334196770732523474530460966865216308254716677745099338290939545323845948210671644533968791996512258425141726919044011122818417454136231039005112600307052411703631751124240491895101298462671496890629266694061844735868797716227024584863845528491426331899749983327032629017851412198427888023417015387559274343358043472454779409435637028148663454483800574258536560893197732682981580067857683971863986184192779346932319618327236674519009726821604675937008429281207300441723214615404250269335676468679789020221684751879625438402175728101489054617668307922960985911871051565551577530444719870688261884573403360978577943915502915652594891351539495679459011645580701353527674742741879886965055307381408447761628242780487317337978251050090428311851901468447976557679739476124714002163671605590925621810068553084672263056077599977147818481}
30373  876161582577558175745538924330464861940555596735563015527219249999033557286544311764443: {242936,273303,2093943,2639667,4036151,4275543,5128643,5765930,6919116,7222586,7494227,8679242,9127223,9171507,9243635,9769802,9974951,10317980,11092362,11246123,12381576,12516791,12682538,13038890,13410722,13929273,13956860,14249930,14340887,14585363,14681435,14687948,15131703,15479723,15646668,15672243,16065890,16160027,16491155,16748232,17099916,17405402,17617722,17860247,17881130,18521243,18841761,19070651,19203035,19279068,19789386,20552651,20881523,21065763,21457356,21617447,22092616,22113890,22158803,22663991,22679607,22695068,23043642,23217123,23613827,23715635,23930123,24682922,24854193,24864860,25365027,25796363,26385203,26536668,27064151,27251387,27319235,27347738,28045047,28458762,29360930,29588325,29837832,29973623,30018155,30111242,31343642,31560880,31960442,32282824,32321847,32377130,32519411,32783082,33415946,33567561,34185890,34283447,34461623,34509155,35023547,35050785,35109587,35233116,35337962,35505990,36021786,36273347,36318177,36504076,37387504,37824311,37873056,38852556,39730067,39772983,40303587,40445546,40781435,41021032,41023068,41410986,41603051,41676035,41727125,42060942,42081923,42256322,42607188,43016060,43235925,44011767,44651882,45069303,46118320,46148661,46210967,47737367,47890871,48196163,48309611,48430586,48937722,49146923,49230890,49897091,50011242,50072550,50180471,50986466,51619272,51883110,52045105,52148680,52973003,53410720,53827163,54034730,54158685,54166091,55002407,55072803,55341984,55419623,56672651,56829155,57159002,57692343,57769264,58055507,58071681,58215603,58333756,58342571,58518707,58667265,59077068,59270618,59432930,59796956,60087060,60090371,61266155,61644323,62259732,62393907,62454126,62578416,62827682,62829256,63038435,63987443,64048787,64083707,64092864,64163468,64474625,64596791,64841676,64927427,64990422,65081445,66626471,67235498,67494443,67779868,67890563,67916906,68194986,68415530,68498747,69013730,69420208,69612424,70042466,70209890,70231187,70400718,70600586,70682913,70709043,70838411,71215562,71319516,71431564,72104472,72760235,73519386,73930967,74162123,74329527,74350150,74909627,75036851,75225047,75646122,75707771,75814187,75905027,76797527,77096481,77369550,77380130,77856407,78026507,78097734,78313977,78454263,79170890,79395587,79783816,80384423,80960930,81117531,82098636,82527520,82816476,83078067,83346530,83468027,83590743,84146325,84251868,85240156,85424762,85639287,86652407,86662263,87266956,87312282,87367163,87834551,88273802,88281383,88922483,89220180,89701271,89756080,89756793,89951176,90077651,90324635,90329867,90565187,90745527,91092122,91781525,91908962,91965671,92281130,92332156,92380727,92843460,92856156,92906963,93230925,94029131,94362827,94684571,95005068,95168192,95285591,95468426,95775386,95783351,96584567,96636085,97153116,97761352,97827347,97989467,98245667,98718664,99031658,99033024,99043276,99204947,99446320,...,3166077332694256269570850779914060766746883795730626826546755973829001896563728556035135166952894772090782877116251382288406008987819162111086755153740210436994701965262191905281487761030945250756682143726215423556923062864127586750744960744333169692477524605961878929832738172328963886739523578244016273255362495112782942258233419514475138950890171571592147795132531452132735491603021381232913918132187226389861449572808117651207271567944349417175089598806660631733919905286672508336008731331436004994341652100339221230866791214343293221675053570705366766068542268456734380914445691537140439571874050514399861996348725685243466264853255982937135634598413552590997212424357090198807058905535600017690393912969841941998587697019793133479980337797237697934196980935042041467627087232869775266426793373877591380374583234604448349468451860070659446737841266749919748403801928903522886179690720325877261866963374990006792603048303224915333746039962485854636369523346820020678269098482074518488669587565631883643001788116962581595221038703233169933479851403593669925428974649775812042572204262852926130755726295083691355330315716535071677010579075972146337037623900033477796092103229689875027293448377880343593301464842695741644254602223116644948055783866625754003031636696237741884776643009667173304264279989220266680655580580542806154971743679704692950666096397418394136725360156214114083965686324190075599692826184700123895454502358400094890052659129232717563693961653406055420781851415280560550781377609654987120389258224028751461373103965599597047215675448355470696299878559342875346938637881993350008267739480012868376986482087330032943807586122749565226601519747301929957978226473744889105174648912265465788685696584204364639456951243297795595838738541851388340792303355890918975062312699947560660164935488432701726535427374062412577479035659764001817760263424040485136247023718833600785681508638808182993966466863428953577737579907895554470112337809026376570083122367777595523111764320636976129866986530515866173785111646247763588808465235778058046397087735218296704649381235430071446821459021947057475264374478112765823034429650624309840480521651479147472427725284763039029148581850072575682621244619208732049739567355899302955836544110830508927713142297451676469088768148160963946286798585032136898680961789614041534102440761284961248560176486065124182734166741916211000794061154807508090210274000332782980974106009384803013654889300593449273574171847953904865899664203814166581951590492445749434840445213000724713052215377304800432434775331944116132561664212856121391331519382863117800721118127356702112084837366897394754309191534846367270911259019261996091406168861296136537873080775163685693232574330783331318840238569042997168630329348186833725737853883310636271193804956476273662047166694850115341312440777492739010823982066149561599875603657684374062463026346263905580999299556680451328742831721165862059720503745743744708084778036826056054518868197423099601368417758929388243286523821561908991114832132459333023527612110076592624482063037305997154599646986612929204557539998276556500655323458577440400526779139747192007087665087779266412123163220365897928420885907891219398591832305266601821837021604864946975685449286407025007834916567539939237517069948944956832288251456825287085882336525983790299914542585764231149460256755541142754273785866029334602126967345280439848348108270848385587687421890519777036097111161710242979064772841607814487964960884976682369592616503676764101608247398901570740806328147088436142601222422876118050334539154984110902237309752895201401448288177173071353365524407408134097579231071433200075402906874174320340270395611899454256893138493984532884577816779156174423102434696325462549242691463093822337480888113820207734688882554409025948441598898783152596723638327149307280896575586809864197573398778831725975237396842037971546644312821533188787592680005868196486961446141917070749529376606445744076845949617542312772736975362225687151067041995316059756829849003112262360976697966040614622486955077672955570326799117721252727098461264280895526045291722662016344566855635892058681497091223272181641385340150133742736548938175668165653989193468397950228662520839022258749126314491730288302699446485127371321901775866333311102710172023801882931237184031222687183412365791144057963273039212580849370864884605978400765678048747857596976910642106757143578629151981578923705795909759491102982232692012969095472901249344572374943067255630952820539000359114235291573052026962246335839500584536234304135318739490224410563947981215828068754068770040592959827584349179431204481304770591887337220870126521802052660905945348860774268471370232990322506515953407076508544597015504323707316423117304334733453904415802535291263968743572985968166285336218228807454567495746758070779563017408103466636197091308}
30374  878868015844471059240630725627566154027906720554996236901929880866802871345862689037993: {212569,303670,364404,1849093,1881142,2030569,2791924,3117913,3213814,3519556,3576934,4563673,4786294,4924393,5700724,5824933,6114742,6235414,6838534,7262053,7923142,8157913,8336869,8515753,8648895,9006454,9225488,10378674,10833879,11529142,12228676,12727942,12897475,13018863,13672069,14044774,14403574,14654703,14789816,15476970,15612073,15837334,16139653,16195414,16508768,16638543,16911142,17017513,17030374,17446075,18243493,18359935,18572364,18816934,19023807,19331039,19558335,20116083,20175604,20510953,20862224,20896324,20935290,21374895,21549334,21726853,22031922,22330976,22799888,22971574,23284969,23326774,23470002,23490296,24098835,25122348,25649874,25705424,26108103,26385848,26426583,26821695,27582469,27615770,28087684,28247471,28368835,28609808,28918602,29118553,29343142,29684079,29813254,30239476,30400534,30724856,30956164,31081075,31104742,31157593,31834969,32186034,32714066,32848873,33138924,33170835,33691813,33820036,33915814,34042602,34565463,35036773,35382224,35893403,36042469,36484534,36834214,37024383,37297290,37393396,37533142,37712869,37945016,39451100,39783776,39805002,40353530,40383871,41021607,41598742,41857369,42022213,42062134,42688143,43095796,43710776,43797574,44028694,44041395,44158633,44756748,45067942,45140569,45166863,45630095,45760054,46608613,46734380,46977488,47015463,47341320,47746393,47940663,48029048,48424236,48565695,49174623,50011369,50123919,50172613,50497408,50548106,50816869,50977753,51276290,51278835,51459973,51803408,52849674,53006943,53030644,53062693,53258985,53738116,53770075,54032679,54134614,54697424,54705094,54756114,54975599,55214648,56081256,56404969,56809584,57096742,57647900,57778774,58278834,58682356,59254534,60092404,60614374,60668319,60742682,60910871,60953974,61531548,61534602,62116479,62197942,62649814,63091413,63304873,63384483,63910782,64234969,64389733,64524090,64567414,65185850,65250296,65779369,66030694,66548869,66681656,66763400,66977823,67266742,67940134,68388742,68825696,68949142,68999173,69177480,69621094,69810839,70976473,71128069,72211580,72645879,72749254,72917195,73406583,73430404,73789312,73846335,74144869,74294953,74746195,75016863,75108825,76479699,76923124,76984153,77428908,77620804,77824665,78023653,78223020,78536570,78707279,78769424,79354969,80092069,80116080,80204335,81052095,82388854,83012976,83022469,83191876,83269174,83272168,83437888,83928742,84724835,85026742,85056613,85457152,85541183,85738503,86068393,86232694,86378831,86455568,86653896,86775260,87015530,87500634,88615602,88653913,88905927,89149395,89289455,89367973,89510569,89653093,89695434,89838934,90080233,90130590,90364633,90926648,90928294,91145974,92124742,92776534,93102214,93210742,93389598,93681189,93867624,94241523,94243884,94278724,94315993,95015653,95092688,95810614,96139296,96245202,97242469,97262514,97381033,97485633,97970134,98025848,98072773,98486953,98724454,99106036,99313369,99450853,99451919,99693142,99729770,...,4749115999041384404356276169871091150120325693595940239820133960743502844845592834052702750429342158136174315674377073432609013481728743166630132730610315655492052947893287857922231641546417876135023215589323135335384594296191380126117441116499754538716286908942818394749107258493445830109285367366024409883043742669174413387350129271712708426335257357388221692698797178199103237404532071849370877198280839584792174359212176476810907351916524125762634398209990947600879857930008762504013096997154007491512478150508831846300186821514939832512580356058050149102813402685101571371668537305710659357811075771599792994523088527865199397279883974405703451897620328886495818636535635298210588358303400026535590869454762912997881545529689700219970506695856546901295471402563062201440630849304662899640190060816387070561874851906672524202677790105989170106761900124879622605702893355284329269536080488815892800445062485010188904572454837373000619059943728781954554285020230031017403647723111777733004381348447825464502682175443872392831558054849754900219777105390504888143461974663718063858306394279389196133589442625537032995473574802607515515868613958219505556435850050216694138154844534812540940172566820515389952197264043612466381903334674967422083675799938631004547455044356612827164964514500759956396419983830400020983370870814209232457615519557039425999144596127591205088040234321171125948529486285113399539239277050185843181753537600142335078988693849076345540942480109083131172777122920840826172066414482480680583887336043127192059655948399395570823513172533206044449817839014313020407956822990025012401609220019302565479723130995049415711379184124347839902279620952894936967339710617333657761973368398198683028544876306546959185426864946693393758107812777082511188455033836378462593469049921340990247403232649052589803141061093618866218553489646002726640395136060727704370535578250401178522262958212274490949700295143430366606369861843331705168506713539564855124683551666393284667646480955464194800479795773799260677667469371645383212697853667087069595631602827445056974071853145107170232188532920586212896561717169148734551644475936464760720782477218721208641587927144558543722872775108863523931866928813098074609351033848954433754816166245763391569713446177514703633152222241445919430197877548205348021442684421062301153661141927441872840264729097686274101250112874316501191091732211262135315411000499174471461159014077204520482333950890173910361257771930857298849496305721249872927385738668624152260667819501087069578323065957200648652162997916174198842496319284182086997279074294676701081677191035053168127256050346092131463787302269550906366888528892994137109253291944204806809621162745528539848861496174996978260357853564495752945494022280250588606780824965954406790707434714410493070750042275173011968661166239108516235973099224342399813405486526561093694539519395858371498949335020676993114247581748793089580755618615617062127167055239084081778302296134649402052626638394082364929785732342863486672248198688999535291418165114888936723094555958995731899470479919393806836309997414834750982985187866160600790168709620788010631497631668899618184744830548846892631328861836829097887748457899902732755532407297420463528173929610537511752374851309908856275604923417435248432377185237930628823504788975685449871813878646346724190385133311714131410678799044001903190451017920659772522162406272578381531132835779665554145666742565364468597159262411721731947441327465023554388924755515146152412371098352356111209492220632654213901833634314177075501808732476166353355964629342802102172432265759607030048286611112201146368846607149800113104360311261480510405593417849181385339707740976799326866725168734261634653652044488193823864037194640733506221332170730311602033323831613538922662398348174728895085457490723960921344863380214796296360098168247588962856095263056957319966469232299783181389020008802294730442169212875606124294064909668616115268924426313469159105463043338530726600562992974089635244773504668393541465046949060921933730432616509433355490198676581879090647691896421343289067937583993024516850283453838088022245636834908272462078010225200614104823407263502248480983790202596925342993781258533388123689471737595432454049169727691056982852663799499966654065258035702824396855776046834030775118548686716086944909558818871274056297326908967601148517073121786395465365963160135715367943727972368385558693864639236654473349038019453643209351874016858562414600883446429230808500538671352937359578040443369503759250876804351456202978109235336615845921971823742103131103155060889439741376523769146806721957155887831005831305189782703078991358918023291161402707055349485483759773930110614762816895523256485560974634675956502100180856623703802936895953115359478952249428004327343211181851243620137106169344526112155199954295636962}
30375  881582760747275869673336663556695581184486070282023273825956073354598587115700829659280: {455505,485872,546606,2821713,3489905,4187886,4399445,4820721,5279334,5365401,5674889,7125905,7179441,7676273,8072302,8551086,8768549,9172113,9353121,10257286,10257801,11531860,11884713,12941089,13509681,13675673,13838232,14445172,14988454,15285845,15568011,16948321,17293713,17358484,18254446,18343014,18487270,19091913,19539604,19949902,20225441,20554009,20635960,21067161,21314257,21605361,22184724,22492246,23087617,23215455,23658833,23756001,24293121,24763152,24765721,25033582,25219505,25365076,25366713,25545561,26077780,26120405,26821444,26884249,27858546,27913720,28225401,28499860,28681774,29130793,29170726,29362870,29375896,30263406,30959446,31293336,31344486,31402935,32131780,32320054,32324001,32982310,33047883,33201889,33496464,34199832,34457361,34762129,34810804,34990161,35109605,35205003,35235444,35720494,35762260,37042486,37683522,37799345,38141302,38246929,38406070,38474811,38558136,38695205,39578772,40516801,41105302,41107601,41423655,41763046,42025417,42131526,42275045,42868501,42914712,43234894,43377903,44014713,44185232,44227780,44317606,44719881,45327982,45359214,45390136,45600801,45796997,46087284,46434246,46560341,46657113,46741745,47227654,47431270,47860246,48279051,48312817,49071099,49313875,49365844,49708386,49729720,50730054,50873721,50922533,51063903,51592726,52770406,53073336,53869745,54128302,54502774,54612961,54638470,54695476,54726801,55251321,55471889,55767337,55945935,56090094,56299713,56917524,57094009,57783521,58346449,58417975,58721860,59176650,59205121,59304193,59675664,59707503,59947246,60036310,60222484,60530295,62398113,62687284,63093201,63121760,63920884,64565648,64643694,64754260,65038822,65566164,65696361,66043041,66288305,66831892,67135122,67172645,67601913,68371780,68503273,68566894,68640081,68923246,69018310,70047094,70101570,70219174,70466232,70675924,71011980,71015893,72043572,72059875,72546694,72636354,72863147,73008152,73352945,74775008,75041809,75115505,75252089,75648622,75694021,75746112,75822159,76914435,77705112,79274511,79400833,79460134,79545966,79560817,80607174,80891092,81201921,81562870,82042064,82046136,82057641,82134171,82821972,83141993,83206102,83352070,83454250,83935937,84121884,84163846,84512644,85025621,85214376,85645113,85772617,86032120,86471850,86668161,87372961,87418251,88023534,88253809,88447057,88881801,89303764,89705941,90138606,90264475,90921561,91114023,91430961,91788005,92236640,92297322,92301903,92421934,93296913,93974721,94983001,95474734,95781742,95866173,96153905,96392326,96559513,96619222,96786135,96851121,96861172,96918833,97026005,97778775,97875444,98293846,98461780,99046041,99794182,...,7123673998562076606534414254806636725180488540393910359730200941115254267268389251079054125644013237204261473511565610148913520222593114749945199095915473483238079421839931786883347462319626814202534823383984703003076891444287070189176161674749631808074430363414227592123660887740168745163928051049036614824565614003761620081025193907569062639502886036082332539048195767298654856106798107774056315797421259377188261538818264715216361027874786188643951597314986421401319786895013143756019645495731011237268717225763247769450280232272409748768870534087075223654220104027652357057502805958565989036716613657399689491784632791797799095919825961608555177846430493329743727954803452947315882537455100039803386304182144369496822318294534550329955760043784820351943207103844593302160946273956994349460285091224580605842812277860008786304016685158983755160142850187319433908554340032926493904304120733223839200667593727515283356858682256059500928589915593172931831427530345046526105471584667666599506572022671738196754023263165808589247337082274632350329665658085757332215192961995577095787459591419083794200384163938305549493210362203911273273802920937329258334653775075325041207232266802218811410258850230773084928295896065418699572855002012451133125513699907946506821182566534919240747446771751139934594629975745600031475056306221313848686423279335559138998716894191386807632060351481756688922794229427670099308858915575278764772630306400213502618483040773614518311413720163624696759165684381261239258099621723721020875831004064690788089483922599093356235269758799809066674726758521469530611935234485037518602413830028953848219584696492574123567068776186521759853419431429342405451009565926000486642960052597298024542817314459820438778140297420040090637161719165623766782682550754567693890203574882011485371104848973578884704711591640428299327830234469004089960592704091091556555803367375601767783394437318411736424550442715145549909554792764997557752760070309347282687025327499589927001469721433196292200719693660698891016501204057468074819046780500630604393447404241167585461107779717660755348282799380879319344842575753723101827466713904697141081173715828081812962381890716837815584309162663295285897800393219647111914026550773431650632224249368645087354570169266272055449728333362168879145296816322308022032164026631593451730491712891162809260397093646529411151875169311474751786637598316893202973116500748761707191738521115806780723500926335260865541886657896285948274244458581874809391078608002936228391001729251630604367484598935800972978244496874261298263744478926273130495918611442015051622515786552579752190884075519138197195680953404326359550332793339491205663879937916307210214431744118292809773292244262495467390536780346743629418241033420375882910171237448931610186061152071615739606125063412759517952991749358662774353959648836513599720108229789841640541809279093787557248424002531015489671371372623189634371133427923425593190750582858626122667453444201974103078939957591123547394678598514295230008372298033499302937127247672333405084641833938493597849205719879090710254464996122252126474477781799240901185253064431182015947246447503349427277117245823270338946993292755243646831622686849854099133298610946130695292260894415806267628562276964863284413407385126152872648565777856895943235257183463528174807720817969520086285577699967571197116018198566002854785676526880989658783243609408867572296699253669498331218500113848046702895738893617582597921161991197535331583387133272719228618556647528534166814238330948981320852750451471265613252713098714249530033946944014203153258648398639410545072429916668301719553269910724700169656540466892220765608390126773772078009561611465198990300087753101392451980478066732290735796055791961100259331998256095467403049985747420308383993597522262093342628186236085941382017295070322194444540147252371383444284142894585435979949703848449674772083530013203442095663253819313409186441097364502924172903386639470203738658194565007796089900844489461134452867160257002590312197570423591382900595648924764150033235298014872818635971537844632014933601906375989536775275425180757132033368455252362408693117015337800921157235110895253372721475685303895388014490671887800082185534207606393148681073754591536585474278995699249949981097887053554236595283664070251046162677823030074130417364338228306911084445990363451401722775609682679593198048944740203573051915591958552578338040796958854981710023557029180464814027811025287843621901325169643846212750808007029406039367060665054255638876315206527184304467163853004923768882957735613154696654732591334159612064785653720210082935733831746508746957784674054618487038377034936742104060583024228225639660895165922144225343284884728341461952013934753150271284935555704405343929673039218428374142006491014816772776865430205659254016789168232799931443455443}
30376  884305842663525450607911417059722925085990147375182836465061245497085326065190993064039: {425138,607340,728808,819909,880063,1607119,2514319,3238783,3698186,3762284,4061138,5225119,5405263,5583848,6235826,6281829,6427628,7039112,7153868,7202743,7740583,7919001,7919719,9127346,9528703,9572588,9848786,10420063,11401448,11649866,12108453,12229484,12470828,12826629,13437223,13677068,14414825,14524106,15026119,15202303,15385929,15846284,16315826,16609183,16673738,17031506,17297790,17486143,18012908,18056465,18361303,18450976,19409119,19583503,20757348,21667758,21698105,22017319,22482681,23058284,23919703,24424505,24457352,24781543,25455884,25703909,25794950,26037726,27344138,27381669,27514521,27730905,27869263,28040119,28089548,28722823,28807148,29309406,29579632,29744719,29924853,30764023,30953940,31224146,31674668,31706345,32279306,32390828,32597225,33017536,33277086,33526805,33738369,33822284,34035026,34060748,34892150,35624825,35654119,35821663,36486986,36719870,37144728,37550373,37633868,38047614,38662078,39116670,39655303,39716369,40164725,40232166,40351208,41021906,41310223,41724448,41787819,41792648,41870580,42749790,43022661,43098668,43453706,43513505,43756089,44044305,44063844,44661952,44702825,44925703,45395109,45579319,45599776,45943148,46439169,46569938,46653548,46940004,46980592,47016729,47726393,48197670,48480081,49473465,49638319,50244696,51299748,51410848,52216206,52771696,52853166,53492623,53580741,53643390,54449719,55164938,55231540,55284725,55563729,56039119,56175368,56494942,56525283,56737670,57211953,57219616,57463423,57609105,57837204,58237106,58567183,58686284,59039143,59353423,59368158,59626508,60478952,60801068,61449712,61657953,61707305,61912328,62162150,62209484,62315186,62324719,62644569,63197289,63669938,63723103,63882133,64372068,64852341,65428132,65697746,66040783,66277848,66341670,66476409,66963319,67383626,67640072,67730119,67831628,67991973,68038821,68085204,68369345,68647903,69130926,69651369,70073546,70764448,70841481,70931023,71146905,71786806,71790369,72084938,72444103,72969068,73047319,73402325,73668428,74048766,74400343,74562579,74594580,74786792,75066284,75278105,75425738,75448663,75890032,76095081,77389089,78128143,78359105,78902200,79155609,79567552,79606663,79610004,79901105,80343223,80637343,80707060,80767742,80942825,81192453,81371383,81754161,81957705,82043214,83197484,83539865,83714738,84044426,84124268,84135141,85376286,85448743,85464725,86191592,87421552,87595148,88057388,88082790,88317266,88344905,88764975,89327023,89513496,89920869,90054465,90135884,90281138,90333726,90750103,91260190,91458943,91520108,92871223,93217226,93468760,93954976,94030926,94682640,94696423,95492786,95881326,96058096,96231319,96787303,96848472,96965541,97131390,97558233,97757503,98172223,98349246,...,9498231998082768808712552339742182300240651387191880479640267921487005689691185668105405500858684316272348631348754146865218026963457486333260265461220631310984105895786575715844463283092835752270046431178646270670769188592382760252234882232999509077432573817885636789498214516986891660218570734732048819766087485338348826774700258543425416852670514714776443385397594356398206474809064143698741754396561679169584348718424352953621814703833048251525268796419981895201759715860017525008026193994308014983024956301017663692600373643029879665025160712116100298205626805370203142743337074611421318715622151543199585989046177055730398794559767948811406903795240657772991637273071270596421176716606800053071181738909525825995763091059379400439941013391713093802590942805126124402881261698609325799280380121632774141123749703813345048405355580211978340213523800249759245211405786710568658539072160977631785600890124970020377809144909674746001238119887457563909108570040460062034807295446223555466008762696895650929005364350887744785663116109699509800439554210781009776286923949327436127716612788558778392267178885251074065990947149605215031031737227916439011112871700100433388276309689069625081880345133641030779904394528087224932763806669349934844167351599877262009094910088713225654329929029001519912792839967660800041966741741628418464915231039114078851998289192255182410176080468642342251897058972570226799078478554100371686363507075200284670157977387698152691081884960218166262345554245841681652344132828964961361167774672086254384119311896798791141647026345066412088899635678028626040815913645980050024803218440038605130959446261990098831422758368248695679804559241905789873934679421234667315523946736796397366057089752613093918370853729893386787516215625554165022376910067672756925186938099842681980494806465298105179606282122187237732437106979292005453280790272121455408741071156500802357044525916424548981899400590286860733212739723686663410337013427079129710249367103332786569335292961910928389600959591547598521355334938743290766425395707334174139191263205654890113948143706290214340464377065841172425793123434338297469103288951872929521441564954437442417283175854289117087445745550217727047863733857626196149218702067697908867509632332491526783139426892355029407266304444482891838860395755096410696042885368842124602307322283854883745680529458195372548202500225748633002382183464422524270630822000998348942922318028154409040964667901780347820722515543861714597698992611442499745854771477337248304521335639002174139156646131914401297304325995832348397684992638568364173994558148589353402163354382070106336254512100692184262927574604539101812733777057785988274218506583888409613619242325491057079697722992349993956520715707128991505890988044560501177213561649931908813581414869428820986141500084550346023937322332478217032471946198448684799626810973053122187389079038791716742997898670041353986228495163497586179161511237231234124254334110478168163556604592269298804105253276788164729859571464685726973344496397377999070582836330229777873446189111917991463798940959838787613672619994829669501965970375732321201580337419241576021262995263337799236369489661097693785262657723673658195775496915799805465511064814594840927056347859221075023504749702619817712551209846834870496864754370475861257647009577951370899743627757292693448380770266623428262821357598088003806380902035841319545044324812545156763062265671559331108291333485130728937194318524823443463894882654930047108777849511030292304824742196704712222418984441265308427803667268628354151003617464952332706711929258685604204344864531519214060096573222224402292737693214299600226208720622522961020811186835698362770679415481953598653733450337468523269307304088976387647728074389281467012442664341460623204066647663227077845324796696349457790170914981447921842689726760429592592720196336495177925712190526113914639932938464599566362778040017604589460884338425751212248588129819337232230537848852626938318210926086677061453201125985948179270489547009336787082930093898121843867460865233018866710980397353163758181295383792842686578135875167986049033700566907676176044491273669816544924156020450401228209646814527004496961967580405193850685987562517066776247378943475190864908098339455382113965705327598999933308130516071405648793711552093668061550237097373432173889819117637742548112594653817935202297034146243572790930731926320271430735887455944736771117387729278473308946698076038907286418703748033717124829201766892858461617001077342705874719156080886739007518501753608702912405956218470673231691843943647484206262206310121778879482753047538293613443914311775662011662610379565406157982717836046582322805414110698970967519547860221229525633791046512971121949269351913004200361713247407605873791906230718957904498856008654686422363702487240274212338689052224310399908591273924}
30377  887037287047807108780822912661273781904702444782112180098045108511829063838024123766354: {637707,759175,911010,971744,1093212,4702855,4885867,5547279,5643426,6091707,6159223,6342523,6706687,6979810,8034535,8375772,8798890,8942335,9071959,9353739,9641442,9800143,9976267,10558668,10730802,11349778,11965735,13691019,14251810,14342779,14358882,14773179,15286855,15352546,15588535,15674923,16144604,16162159,17096335,17102172,17474799,17537098,17672479,18344226,18706242,19073167,19669243,19807855,20514572,20515602,21132343,21400183,21620299,21786159,22516135,23063720,23769426,24220087,24325279,24473739,25010607,25498279,25547259,25882178,25946685,27019362,27306607,27351346,27676464,27960439,28585159,28822855,28890344,29976908,30571690,31136022,31819855,32297023,32501637,32761867,33896642,34503727,34587426,34716968,35111935,35307307,35614843,36008935,36035023,36508892,36568567,36686028,36974540,37604479,38183826,38692425,39056589,39079208,39593335,39899804,40450882,40488535,41016207,41108018,41271920,42134322,42277855,42501079,42575935,42628514,43210722,43964109,44369448,44984492,45800023,46175234,46430910,46836219,47042335,47317666,47512002,48418959,48586242,49153447,49526304,49531442,49771399,49915629,50067164,50439010,50730152,50733426,51052539,51091122,51184879,51954703,52155560,52240810,52338225,52679527,52919083,53406559,53642888,53768498,53873335,54153979,54173287,54730479,55030207,55079805,55717092,55827440,56450802,56999720,57071421,57363548,57428935,57787339,57993117,58261586,58316935,58341452,58675005,58725740,58751792,59185063,59438203,60348249,60526812,61532859,61918892,62586672,62688972,62805870,64124685,64263560,64640108,64648002,65180559,65376223,65438443,65557687,65964620,66095766,66403778,66992928,68399664,68914722,69039425,69346279,69524258,69621608,69854907,69980322,70219210,70277719,70389367,70410006,70470888,71440988,71524520,72296505,73357855,74084972,74533135,75257083,75367044,75417643,75598690,75915103,76001335,76282604,76493858,76524463,76812140,76949622,77116272,77230879,77390410,77761855,78098479,78324309,78596359,79157544,79279749,79516663,80465085,80611807,81033602,81785165,82210604,82215202,82747407,82847310,83148943,83526092,83675887,83941483,84050834,84263052,84550090,84742413,84789535,85031239,85106505,85118143,85737002,85829424,86469788,86755806,86781223,87087979,87355659,88029426,88370464,88455560,88635212,88779967,88934287,89052237,89057023,89439762,90655964,90718428,90780272,91061899,91201602,91211335,91593994,91681183,91840783,92085535,92174568,92803627,92868492,93120682,93243225,93314226,93472779,93483490,93832855,93837823,94041703,94455308,94862540,95504907,95720492,96558102,96625634,97958743,98142198,98258719,98546619,98627750,98731688,99416772,99459440,99512505,...,14247347997124153213068828509613273450360977080787820719460401882230508534536778502158108251288026474408522947023131220297827040445186229499890398191830946966476158843679863573766694924639253628405069646767969406006153782888574140378352323349499263616148860726828455184247321775480337490327856102098073229649131228007523240162050387815138125279005772072164665078096391534597309712213596215548112631594842518754376523077636529430432722055749572377287903194629972842802639573790026287512039290991462022474537434451526495538900560464544819497537741068174150447308440208055304714115005611917131978073433227314799378983569265583595598191839651923217110355692860986659487455909606905894631765074910200079606772608364288738993644636589069100659911520087569640703886414207689186604321892547913988698920570182449161211685624555720017572608033370317967510320285700374638867817108680065852987808608241466447678401335187455030566713717364512119001857179831186345863662855060690093052210943169335333199013144045343476393508046526331617178494674164549264700659331316171514664430385923991154191574919182838167588400768327876611098986420724407822546547605841874658516669307550150650082414464533604437622820517700461546169856591792130837399145710004024902266251027399815893013642365133069838481494893543502279869189259951491200062950112612442627697372846558671118277997433788382773615264120702963513377845588458855340198617717831150557529545260612800427005236966081547229036622827440327249393518331368762522478516199243447442041751662008129381576178967845198186712470539517599618133349453517042939061223870468970075037204827660057907696439169392985148247134137552373043519706838862858684810902019131852000973285920105194596049085634628919640877556280594840080181274323438331247533565365101509135387780407149764022970742209697947157769409423183280856598655660468938008179921185408182183113111606734751203535566788874636823472849100885430291099819109585529995115505520140618694565374050654999179854002939442866392584401439387321397782033002408114936149638093561001261208786894808482335170922215559435321510696565598761758638689685151507446203654933427809394282162347431656163625924763781433675631168618325326590571795600786439294223828053101546863301264448498737290174709140338532544110899456666724337758290593632644616044064328053263186903460983425782325618520794187293058822303750338622949503573275196633786405946233001497523414383477042231613561447001852670521731083773315792571896548488917163749618782157216005872456782003458503261208734969197871601945956488993748522596527488957852546260991837222884030103245031573105159504381768151038276394391361906808652719100665586678982411327759875832614420428863488236585619546584488524990934781073560693487258836482066840751765820342474897863220372122304143231479212250126825519035905983498717325548707919297673027199440216459579683281083618558187575114496848005062030979342742745246379268742266855846851186381501165717252245334906888403948206157879915182247094789357197028590460016744596066998605874254495344666810169283667876987195698411439758181420508929992244504252948955563598481802370506128862364031894492895006698854554234491646540677893986585510487293663245373699708198266597221892261390584521788831612535257124553929726568826814770252305745297131555713791886470514366927056349615441635939040172571155399935142394232036397132005709571353053761979317566487218817735144593398507338996662437000227696093405791477787235165195842323982395070663166774266545438457237113295057068333628476661897962641705500902942531226505426197428499060067893888028406306517296797278821090144859833336603439106539821449400339313080933784441531216780253547544156019123222930397980600175506202784903960956133464581471592111583922200518663996512190934806099971494840616767987195044524186685256372472171882764034590140644388889080294504742766888568285789170871959899407696899349544167060026406884191326507638626818372882194729005848345806773278940407477316389130015592179801688978922268905734320514005180624395140847182765801191297849528300066470596029745637271943075689264029867203812751979073550550850361514264066736910504724817386234030675601842314470221790506745442951370607790776028981343775600164371068415212786297362147509183073170948557991398499899962195774107108473190567328140502092325355646060148260834728676456613822168891980726902803445551219365359186396097889480407146103831183917105156676081593917709963420047114058360929628055622050575687243802650339287692425501616014058812078734121330108511277752630413054368608934327706009847537765915471226309393309465182668319224129571307440420165871467663493017493915569348109236974076754069873484208121166048456451279321790331844288450686569769456682923904027869506300542569871111408810687859346078436856748284012982029633545553730860411318508033578336465599862886910886}
30378  889777119431975096770547718615635083410678930638086164550014269094454075529305503055833: {334037,850276,940757,1122617,1214680,1366515,1457616,1639818,1760126,1788821,2151797,3214238,3238997,3299321,4143017,5028638,5045237,5465657,5765717,5945657,6477566,7203221,7263017,7396372,7524568,8099321,8122276,8457257,8465139,9231797,9945557,10450238,10469715,10480121,10810526,11014037,11167696,11665721,12471652,12552821,12563658,12855256,12907157,13198335,13673897,13791737,14078224,14307736,14405486,14462163,14909621,15481166,15838002,15839438,16096203,16141817,17024667,18254692,18362537,18420821,19057406,19145176,19642937,19697572,20180755,20840126,21035321,21377715,21538323,22802896,23028819,23299732,23576057,23921321,23978837,24216906,24458968,24941656,25279051,25643215,25653258,25872377,26305647,26874446,27354136,27516339,27700217,28059363,28440437,28724777,28829650,29048212,29122517,30052238,30256757,30377347,30404606,30483221,30771858,30773403,30822677,31692568,31952117,32459321,32631652,33218366,33347476,34063012,34194307,34201397,34595580,34649717,34972286,35654139,35879957,36025816,36112930,36382121,36722606,36901952,37161977,37471135,37829177,38328821,38818238,38823267,39167006,39492137,40529043,40541621,41027019,41368121,41514696,41973077,43289621,43335516,43396210,43618037,44034638,44388883,44965362,45255797,45636115,45857535,46116568,46218175,46234997,46560821,46704033,46777877,46937527,47839406,47861237,48849010,48914704,48995321,49318697,49563086,49874755,50018357,50340821,50844963,50911768,51092117,51407818,51589900,51881139,52075452,52269557,53070137,53549621,54134777,54688276,54763338,54931157,55029042,55408121,55461810,55738526,56080238,56179096,56230615,56403919,57275739,57445646,57467477,57520121,57614296,58571321,58618812,58886057,59095721,59159264,59357621,59489438,59849706,60676323,60918907,61528046,61662027,61907880,62448292,62583955,63201483,63349336,63412690,63727637,63779321,63942771,64089257,64502057,64558612,64781656,64811321,64816083,65194450,65788757,65891477,66035072,66554172,66558377,66660857,67053610,67428437,67476738,67581737,67644568,68070052,68092217,68121496,68652821,69110777,69262851,69646365,69784300,70480757,70976499,70986677,71249650,71268003,71308238,71643326,71693621,71704435,72879363,72926815,72973972,73407175,73439740,74155577,74289456,74297163,74405717,74455721,75100746,75267736,75503957,75658515,76095228,76100139,76399637,76636683,77144057,77324156,77398615,78133817,78233340,78361215,78479477,79310606,79432738,79612457,80329450,80464332,80652747,80702416,80800135,81377321,81426197,82043812,82402037,82455775,82620446,83131817,83326121,83448896,83575638,83585296,83741160,84053621,84676203,85020821,85455017,85499580,86045322,86177237,86197336,86390227,86513657,86657717,86907412,87027010,87392379,87512178,88088610,88127688,88189877,88666997,89301235,89323904,89381177,89405650,89808821,89851406,90472757,90790218,90804137,91158638,91199552,91512917,91886296,92606215,92878338,93065897,93139876,93307096,93880008,93961184,94033458,94049621,94208805,94470137,94750121,94983221,95353255,95402297,95452786,95717083,96015175,96395340,96960162,96972003,98179577,98501717,98639657,98915321,98946930,99143649,99276638,99605667,...,21371021995686229819603242764419910175541465621181731079190602823345762801805167753237162376932039711612784420534696830446740560667779344249835597287746420449714238265519795360650042386958880442607604470151954109009230674332861210567528485024248895424223291090242682776370982663220506235491784153147109844473696842011284860243075581722707187918508658108246997617144587301895964568320394323322168947392263778131564784616454794145649083083624358565931854791944959264203959360685039431268058936487193033711806151677289743308350840696817229246306611602261225670962660312082957071172508417875697967110149840972199068475353898375393397287759477884825665533539291479989231183864410358841947647612365300119410158912546433108490466954883603650989867280131354461055829621311533779906482838821870983048380855273673741817528436833580026358912050055476951265480428550561958301725663020098779481712912362199671517602002781182545850070576046768178502785769746779518795494282591035139578316414754002999798519716068015214590262069789497425767742011246823897050988996974257271996645578885986731287362378774257251382601152491814916648479631086611733819821408762811987775003961325225975123621696800406656434230776550692319254784887688196256098718565006037353399376541099723839520463547699604757722242340315253419803783889927236800094425168918663941546059269838006677416996150682574160422896181054445270066768382688283010297926576746725836294317890919200640507855449122320843554934241160490874090277497053143783717774298865171163062627493012194072364268451767797280068705809276399427200024180275564408591835805703455112555807241490086861544658754089477722370701206328559565279560258294288027216353028697778001459928880157791894073628451943379461316334420892260120271911485157496871300348047652263703081670610724646034456113314546920736654114134774921284897983490703407012269881778112273274669667410102126805303350183311955235209273651328145436649728664378294992673258280210928041848061075982498769781004409164299588876602159080982096673049503612172404224457140341501891813180342212723502756383323339152982266044848398142637958034527727261169305482400141714091423243521147484245438887145672150513446752927487989885857693401179658941335742079652320294951896672748105935262063710507798816166349185000086506637435890448966924066096492079894780355191475138673488427781191280939588233455625507934424255359912794950679608919349502246285121575215563347420342170502779005782596625659973688857844822733375745624428173235824008808685173005187754891813102453796807402918934733490622783894791233436778819391487755834326045154867547359657739256572652226557414591587042860212979078650998380018473616991639813748921630643295232354878429319876732787486402171610341040230888254723100261127648730513712346794830558183456214847218818375190238278553858975248075988323061878946509540799160324689369524921625427837281362671745272007593046469014114117869568903113400283770276779572251748575878368002360332605922309236819872773370642184035795542885690025116894100497908811381743017000215253925501815480793547617159637272130763394988366756379423433345397722703555759193293546047841739342510048281831351737469811016840979878265730940494868060549562297399895832838392085876782683247418802885686830894589853240222155378458617945697333570687829705771550390584524423162453908560258856733099902713591348054595698008564357029580642968976349730828226602716890097761008494993655500341544140108687216680852747793763485973592605994750161399818157685855669942585602500442714992846943962558251354413796839758139296142748590101840832042609459775945195918231635217289750004905158659809732174100508969621400676662296825170380321316234028684834395596970900263259304177355941434200196872207388167375883300777995994768286402209149957242260925151980792566786280027884558708257824146051885210966583333620441757114150332852428683756307939849111545349024316250590039610326286989761457940227559323292093508772518710159918410611215974583695023388269702533468383403358601480771007770936592711270774148701786946774292450099705894044618455907914613533896044800805719127968610325826275542271396100105365757087226079351046013402763471705332685760118164427055911686164043472015663400246556602622819179446043221263774609756422836987097749849943293661160662709785850992210753138488033469090222391252093014684920733253337971090354205168326829048038779594146834220610719155746775875657735014122390876564945130070671087541394442083433075863530865703975508931538638252424021088218118101181995162766916628945619581552913401491559014771306648873206839464089964197774002478836194356961160630248807201495239526240873354022163855461115131104810226312181749072684676918982685497766432676029854654185024385856041804259450813854806667113216031789019117655285122426019473044450318330596290616977762050367504698399794330366329}
30379  892525365425383793199949932635960087439386931755411903154612023202048057225530156976116: {1062845,1275414,1518350,1822020,1943488,2186424,2459727,2640189,4821357,6583997,7495709,7542957,9245465,9405710,9716349,9771734,10152845,10953101,11094558,11248349,11286852,12183414,12318446,12519269,12685046,13413374,13959620,15589565,15675357,16069070,16215789,16751544,16752029,16950557,17597780,17884670,18143918,18524909,18707478,18845487,19282884,19600286,19952534,20335997,20885657,21117336,21317069,21401597,21461604,21608229,21823949,22163189,22699556,22818365,23221749,23245469,23618501,23757003,23759157,23931470,23934869,24621965,25801469,27069509,27256781,27382038,27730997,28503620,28586109,28685558,28717764,28748057,29124665,29546358,29979557,30519149,30573710,30705092,31177070,31260189,31349846,31522589,32289208,32299157,32324318,32525849,34192670,34204344,34949598,35074196,35344958,36280541,36310265,36325359,36688452,37412484,37792829,38146334,38169209,38479887,38520197,38562989,39338486,39615710,40311669,40351997,40789565,41029144,41031204,41684345,42090269,42246677,42264686,42578765,42800366,43240598,43244475,43572318,44441657,44547797,45032270,45078357,45606909,46127440,46157787,47538852,48440174,48650558,48947478,49156709,49827549,50021214,50412509,50996558,51094518,51188261,51764356,51893370,52174397,52458429,52983509,54038724,54169395,54613214,54702692,55083909,55352928,55430669,55920878,56011757,56058809,56683949,57170318,57645710,57780688,58067021,58227357,58750509,59188997,59606309,59953816,60102317,61143380,61504349,62272044,63639710,64000157,64487375,64594046,65003274,65094315,65523734,65859269,66039941,66051957,67448043,67507829,67793284,68360345,69007454,69174852,69350861,69433936,70223870,70245149,70614614,71229686,71416949,71669357,71759109,72017870,72070046,73017784,73137134,73273515,73372056,73949080,74128781,74344629,75208958,75422669,75920141,76367652,77111727,77262809,77384850,77551637,78060365,78113178,78158416,78670469,79186670,79521917,79799608,80400509,80698265,80901764,80977070,81643709,81756569,82032414,82145007,82216036,82543563,82543840,83154437,83192715,83484581,83607789,84120357,84268644,84555710,85002158,85087565,85101689,85151870,85257028,85527341,86168469,86421444,86786957,87204989,87230375,87928218,88738896,88940189,89234157,89717849,89719157,89774559,89968984,90095549,91217465,91272857,91600046,91687277,91799675,92292069,92350468,92861820,92866937,92925389,93520109,93672438,94084670,94635332,95024004,95119035,95591801,96655195,96837918,97172484,97791675,98008901,98306894,98984489,99052608,99062884,99224669,99542798,99623129,99831258,...,28494695994248306426137657019226546900721954161575641438920803764461017069073557004316216502576052948817045894046262440595654080890372458999780796383661893932952317687359727147533389849278507256810139293535938812012307565777148280756704646698998527232297721453656910368494643550960674980655712204196146459298262456015046480324100775630276250558011544144329330156192783069194619424427192431096225263189685037508753046155273058860865444111499144754575806389259945685605279147580052575024078581982924044949074868903052991077801120929089638995075482136348300894616880416110609428230011223834263956146866454629598757967138531167191196383679303846434220711385721973318974911819213811789263530149820400159213545216728577477987289273178138201319823040175139281407772828415378373208643785095827977397841140364898322423371249111440035145216066740635935020640571400749277735634217360131705975617216482932895356802670374910061133427434729024238003714359662372691727325710121380186104421886338670666398026288090686952787016093052663234356989348329098529401318662632343029328860771847982308383149838365676335176801536655753222197972841448815645093095211683749317033338615100301300164828929067208875245641035400923092339713183584261674798291420008049804532502054799631786027284730266139676962989787087004559738378519902982400125900225224885255394745693117342236555994867576765547230528241405927026755691176917710680397235435662301115059090521225600854010473932163094458073245654880654498787036662737525044957032398486894884083503324016258763152357935690396373424941079035199236266698907034085878122447740937940150074409655320115815392878338785970296494268275104746087039413677725717369621804038263704001946571840210389192098171269257839281755112561189680160362548646876662495067130730203018270775560814299528045941484419395894315538818846366561713197311320937876016359842370816364366226223213469502407071133577749273646945698201770860582199638219171059990231011040281237389130748101309998359708005878885732785168802878774642795564066004816229872299276187122002522417573789616964670341844431118870643021393131197523517277379370303014892407309866855618788564324694863312327251849527562867351262337236650653181143591201572878588447656106203093726602528896997474580349418280677065088221798913333448675516581187265289232088128656106526373806921966851564651237041588374586117644607500677245899007146550393267572811892466002995046828766954084463227122894003705341043462167546631585143793096977834327499237564314432011744913564006917006522417469938395743203891912977987497045193054977915705092521983674445768060206490063146210319008763536302076552788782723813617305438201331173357964822655519751665228840857726976473171239093168977049981869562147121386974517672964133681503531640684949795726440744244608286462958424500253651038071811966997434651097415838595346054398880432919159366562167237116375150228993696010124061958685485490492758537484533711693702372763002331434504490669813776807896412315759830364494189578714394057180920033489192133997211748508990689333620338567335753974391396822879516362841017859984489008505897911127196963604741012257724728063788985790013397709108468983293081355787973171020974587326490747399416396533194443784522781169043577663225070514249107859453137653629540504611490594263111427583772941028733854112699230883271878080345142310799870284788464072794264011419142706107523958635132974437635470289186797014677993324874000455392186811582955574470330391684647964790141326333548533090876914474226590114136667256953323795925283411001805885062453010852394856998120135787776056812613034593594557642180289719666673206878213079642898800678626161867568883062433560507095088312038246445860795961200351012405569807921912266929162943184223167844401037327993024381869612199942989681233535974390089048373370512744944343765528069180281288777778160589009485533777136571578341743919798815393798699088334120052813768382653015277253636745764389458011696691613546557880814954632778260031184359603377957844537811468641028010361248790281694365531602382595699056600132941192059491274543886151378528059734407625503958147101101700723028528133473821009449634772468061351203684628940443581013490885902741215581552057962687551200328742136830425572594724295018366146341897115982796999799924391548214216946381134656281004184650711292120296521669457352913227644337783961453805606891102438730718372792195778960814292207662367834210313352163187835419926840094228116721859256111244101151374487605300678575384851003232028117624157468242660217022555505260826108737217868655412019695075531830942452618786618930365336638448259142614880840331742935326986034987831138696218473948153508139746968416242332096912902558643580663688576901373139538913365847808055739012601085139742222817621375718692156873713496568025964059267091107461720822637016067156672931199725773821772}
30380  895282050715121582551922469789388090278161091579607327644957662843830049894234881622888: {394771,668074,1700552,1849459,1881514,1913121,2030971,2212411,2245234,2277525,2429360,2733030,2915232,3279636,3299539,3520252,3577642,3842131,4203499,4303594,4745011,5826091,6006019,6365659,6428476,6477994,6598642,7263499,8159539,8286034,8338531,8517451,10057276,10090474,10931314,11014771,11531434,11891314,11903251,12612739,12955132,12967051,13851571,14108565,14406442,14526034,14657601,14792744,14910619,15049136,16198642,16244552,16318651,16641837,16914514,16930278,17196331,17449525,18275121,18422059,18463594,18477669,19027569,19891114,20120061,20900476,20939430,20960242,21036739,21621052,21904699,21997225,22028074,22251379,22335392,22770859,23331442,23980459,24103605,24943304,25105642,25127316,25186531,25710512,25814314,26396670,26732011,26827005,27215877,27347794,27583474,27588091,28061217,28156448,28253057,28374445,28615472,28810972,28924326,29124499,29294851,29400429,29819242,29928801,30315451,30962332,31333459,31676004,31678876,32010691,32192406,32283634,33024379,34049334,34203739,35043979,35379571,35629525,35897205,35900501,36384619,36509384,36725074,36841642,37220179,37887331,38114812,38290352,38381365,38386939,39285874,39395144,40361510,40391857,41073057,41680252,41866051,42030931,42070642,42195739,42525139,42755430,43028337,43076646,43842745,44319537,44495491,45149971,45605792,45860565,46057638,46292539,46599464,46618339,46765605,46781131,47024769,47152114,47594011,47842642,47918659,47957674,48433812,48486477,48567091,48917936,49376011,49883312,50183131,50344339,50558102,50827531,50988451,51149299,51286430,51289005,51306516,51470779,51744754,52273219,52424397,52459589,52611294,53017437,53233771,53748892,54708272,54988051,55032678,55400434,55464979,56118726,56416891,56575291,56880874,57219501,57449554,57524179,57659300,58096424,58245034,58942651,59007729,59423565,60104476,60513514,60754694,60809212,60966442,60981259,61449979,61543716,61546806,61645354,62411437,63385136,63397029,63783859,63890561,63904234,64093819,64200549,64403491,64705445,64860897,64867459,64918642,65263304,65358477,66436732,66659177,66694952,66716851,67548405,68097091,68126024,68378365,68388614,68402794,69191160,69299434,69824657,69944572,71143411,71308278,71759914,72051632,72225860,72655771,72660261,72764242,72975837,73409251,73421217,73445212,73803904,74311051,74323954,74461099,74910811,74942270,75031821,75658354,75957619,76429225,76494837,76641777,76657642,77149651,77636476,77646534,77840055,78334012,78485179,78722861,78984274,80991931,81058086,81083242,81432139,81919821,82054038,82602859,82736242,83029392,83881317,83946154,84741605,84785539,85075339,85755477,86231659,86468565,86579242,86671032,86792420,87236074,87617537,88069276,88244131,88673539,88777766,89530411,89672971,89815459,89930724,90511594,91272230,91715070,92233136,92436350,92469994,92509051,93121642,93408066,93555754,93875054,94056619,94477171,95036899,95176651,95455939,95459565,95678812,95722474,96891069,97402891,97504911,97698020,97829408,97990642,98285601,98637394,98647051,99126172,99473251,99610699,99749510,...,42742043991372459639206485528839820351082931242363462158381205646691525603610335506474324753864079423225568841069393660893481121335558688499671194575492840899428476531039590721300084773917760885215208940303908218018461348665722421135056970048497790848446582180485365552741965326441012470983568306294219688947393684022569720486151163445414375837017316216493995234289174603791929136640788646644337894784527556263129569232909588291298166167248717131863709583889918528407918721370078862536117872974386067423612303354579486616701681393634458492613223204522451341925320624165914142345016835751395934220299681944398136950707796750786794575518955769651331067078582959978462367728820717683895295224730600238820317825092866216980933909767207301979734560262708922111659242623067559812965677643741966096761710547347483635056873667160052717824100110953902530960857101123916603451326040197558963425824724399343035204005562365091700141152093536357005571539493559037590988565182070279156632829508005999597039432136030429180524139578994851535484022493647794101977993948514543993291157771973462574724757548514502765202304983629833296959262173223467639642817525623975550007922650451950247243393600813312868461553101384638509569775376392512197437130012074706798753082199447679040927095399209515444484680630506839607567779854473600188850337837327883092118539676013354833992301365148320845792362108890540133536765376566020595853153493451672588635781838401281015710898244641687109868482320981748180554994106287567435548597730342326125254986024388144728536903535594560137411618552798854400048360551128817183671611406910225111614482980173723089317508178955444741402412657119130559120516588576054432706057395556002919857760315583788147256903886758922632668841784520240543822970314993742600696095304527406163341221449292068912226629093841473308228269549842569795966981406814024539763556224546549339334820204253610606700366623910470418547302656290873299457328756589985346516560421856083696122151964997539562008818328599177753204318161964193346099007224344808448914280683003783626360684425447005512766646678305964532089696796285275916069055454522338610964800283428182846487042294968490877774291344301026893505854975979771715386802359317882671484159304640589903793345496211870524127421015597632332698370000173013274871780897933848132192984159789560710382950277346976855562382561879176466911251015868848510719825589901359217838699004492570243150431126694840684341005558011565193251319947377715689645466751491248856346471648017617370346010375509783626204907593614805837869466981245567789582466873557638782975511668652090309735094719315478513145304453114829183174085720425958157301996760036947233983279627497843261286590464709756858639753465574972804343220682080461776509446200522255297461027424693589661116366912429694437636750380476557107717950496151976646123757893019081598320649378739049843250855674562725343490544015186092938028228235739137806226800567540553559144503497151756736004720665211844618473639745546741284368071591085771380050233788200995817622763486034000430507851003630961587095234319274544261526789976733512758846866690795445407111518386587092095683478685020096563662703474939622033681959756531461880989736121099124594799791665676784171753565366494837605771373661789179706480444310756917235891394667141375659411543100781169048846324907817120517713466199805427182696109191396017128714059161285937952699461656453205433780195522016989987311000683088280217374433361705495587526971947185211989500322799636315371711339885171205000885429985693887925116502708827593679516278592285497180203681664085218919551890391836463270434579500009810317319619464348201017939242801353324593650340760642632468057369668791193941800526518608354711882868400393744414776334751766601555991989536572804418299914484521850303961585133572560055769117416515648292103770421933166667240883514228300665704857367512615879698223090698048632501180079220652573979522915880455118646584187017545037420319836821222431949167390046776539405066936766806717202961542015541873185422541548297403573893548584900199411788089236911815829227067792089601611438255937220651652551084542792200210731514174452158702092026805526943410665371520236328854111823372328086944031326800493113205245638358892086442527549219512845673974195499699886587322321325419571701984421506276976066938180444782504186029369841466506675942180708410336653658096077559188293668441221438311493551751315470028244781753129890260141342175082788884166866151727061731407951017863077276504848042176436236202363990325533833257891239163105826802983118029542613297746413678928179928395548004957672388713922321260497614402990479052481746708044327710922230262209620452624363498145369353837965370995532865352059709308370048771712083608518901627709613334226432063578038235310570244852038946088900636661192581233955524100735009396799588660732658}
30381  898047201066245436685140018669331364424578960127688884270993136086865278680530528437744: {1002111,1487983,2125690,2550828,2822271,3036700,3367851,3644040,3886976,4099545,4372848,4400315,4919454,5280378,5366463,6455391,7677791,8035595,8770283,9642714,9678779,9716991,9897963,11863331,12429051,12571595,12943651,13167994,14213983,14991418,15085914,15135711,15676991,16193915,16396971,17297151,17836971,18490930,18811420,19432698,19543468,20305690,21135131,21609663,21789051,21825391,21906202,22189116,22496698,22573704,24033451,24297963,24366828,24636892,24770623,25038538,25370092,25371771,25395417,25501643,26125595,26826748,27026315,27695391,27919240,29136559,29836671,31179130,31350714,31409145,31440363,31945711,32138140,32431578,33042111,33503088,33504058,33628859,33901114,34470751,34769011,34997163,35195560,35769340,36013715,36287836,36563651,37049818,37414956,37658463,37690974,38171731,38565768,38702915,38721471,39200572,39595005,39598595,39905068,40399231,40671994,40774531,41021691,41375211,41490283,41771314,42234672,42634138,42803194,42877003,42923208,43216458,43386489,43647898,44326378,44728863,45399112,45636730,46443498,46490938,47237002,47514006,47518314,47643515,47862940,47869738,48288609,48425451,49243930,49927891,50834371,51074001,51602938,51831323,52100315,54139018,54513562,54764076,55087611,55262463,55461994,55482911,57007240,57105391,57172218,57371116,57435528,57464891,57496114,58249330,58358083,58374611,58928811,59092716,59216863,59610271,59959114,60542265,61038298,61147420,61410184,61660651,61960643,62354140,62520378,62653963,62699692,63045178,63105963,64133145,64578416,64598314,64614969,64648636,65051698,67186115,68385340,68408688,69086457,69899196,70148392,70689916,70728171,71030011,71763963,71936511,72074125,72561082,72620530,72650718,72857483,73376904,74133679,74824968,75130595,75585658,75837153,76011515,76292668,76338418,76929645,76959774,77040394,77125978,77241131,77617131,78047203,78676972,78916941,79231420,79818943,80623338,80703994,81579130,81761971,82058288,82062408,82549017,83045915,83100651,83158559,83368690,84178089,84180538,84493354,84529372,85129451,85157530,85321311,85600732,85729283,86174331,86481196,86488950,86675359,87144636,87210751,87367551,87430715,88113059,88883314,89095594,89723803,90064540,90156714,90282325,90770271,90970771,91132041,91213818,91449663,91806515,92254880,92315574,92320209,92468031,93005099,94651163,95077704,95704483,95856351,96880348,97045595,97301116,97377963,97894956,97917515,98313418,99655098,...,64113065987058689458809728293259730526624396863545193237571808470037288405415503259711487130796119134838353261604090491340221682003338032749506791863239261349142714796559386081950127160876641327822813410455862327027692022998583631702585455072746686272669873270728048329112947989661518706475352459441329533421090526033854580729226745168121563755525974324740992851433761905687893704961182969966506842176791334394694353849364382436947249250873075697795564375834877792611878082055118293804176809461579101135418455031869229925052522090451687738919834806783677012887980936248871213517525253627093901330449522916597205426061695126180191863278433654476996600617874439967693551593231076525842942837095900358230476737639299325471400864650810952969601840394063383167488863934601339719448516465612949145142565821021225452585310500740079076736150166430853796441285651685874905176989060296338445138737086599014552806008343547637550211728140304535508357309240338556386482847773105418734949244262008999395559148204045643770786209368492277303226033740471691152966990922771815989936736657960193862087136322771754147803457475444749945438893259835201459464226288435963325011883975677925370865090401219969302692329652076957764354663064588768296155695018112060198129623299171518561390643098814273166727020945760259411351669781710400283275506755991824638177809514020032250988452047722481268688543163335810200305148064849030893779730240177508882953672757601921523566347366962530664802723481472622270832491159431351153322896595513489187882479036582217092805355303391840206117427829198281600072540826693225775507417110365337667421724470260584633976262268433167112103618985678695838680774882864081649059086093334004379786640473375682220885355830138383949003262676780360815734455472490613901044142956791109245011832173938103368339943640762209962342404324763854693950472110221036809645334336819824009002230306380415910050549935865705627820953984436309949185993134884978019774840632784125544183227947496309343013227492898766629806477242946290019148510836517212673371421024505675439541026638170508269149970017458946798134545194427913874103583181783507916447200425142274269730563442452736316661437016451540340258782463969657573080203538976824007226238956960884855690018244317805786191131523396448499047555000259519912307671346900772198289476239684341065574425416020465283343573842818764700366876523803272766079738384852038826758048506738855364725646690042261026511508337017347789876979921066573534468200127236873284519707472026426055519015563264675439307361390422208756804200471868351684373700310336458174463267502978135464602642078973217769717956679672243774761128580638937235952995140055420850974919441246764891929885697064635287959630198362459206514831023120692664764169300783382946191541137040384491674550368644541656455125570714835661576925744227964969185636839528622397480974068108574764876283511844088015235816022779139407042342353608706709340200851310830338716755245727635104007080997817766927710459618320111926552107386628657070075350682301493726434145229051000645761776505446442380642851478911816392290184965100269138270300036193168110667277579880638143525218027530144845494055212409433050522939634797192821484604181648686892199687498515176257630348049742256408657060492683769559720666466135375853837092000712063489117314651171753573269487361725680776570199299708140774044163787094025693071088741928906929049192484679808150670293283025484980966501024632420326061650042558243381290457920777817984250484199454473057567009827756807501328144978540831887674754063241390519274417888428245770305522496127828379327835587754694905651869250014715475979429196522301526908864202029986890475511140963948702086054503186790912700789777912532067824302600590616622164502127649902333987984304859206627449871726782775455942377700358840083653676124773472438155655632899750000861325271342450998557286051268923819547334636047072948751770118830978860969284373820682677969876280526317556130479755231833647923751085070164809107600405150210075804442313023312809778133812322446105360840322877350299117682133855367723743840601688134402417157383905830977478826626814188300316097271261678238053138040208290415115998057280354493281167735058492130416046990200739669807868457538338129663791323829269268510961293249549829880983481988129357552976632259415464100407270667173756279044054762199760013913271062615504980487144116338782440502661832157467240327626973205042367172629694835390212013262624183326250299227590592597111926526794615914757272063264654354303545985488300749886836858744658740204474677044313919946619620518392269892593322007436508583070883481890746421604485718578722620062066491566383345393314430678936545247218054030756948056493299298028089563962555073157568125412778352441564420001339648095367057352965855367278058419133350954991788871850933286151102514095199382991098987}
30382  900820842322016200142961487445875343105708648449541361291271462987805552074053553296896: {789542,1243981,1336148,1789057,2696077,3188535,3401104,3420397,3698918,3763028,3795875,3826242,4061942,4424822,4490468,4555050,4858720,5406337,5466060,5830464,6559272,6599078,7040504,7155284,7379181,7684262,7920567,7921297,8100397,8406998,8607188,8816077,9352081,9490022,10600237,11652182,12012038,12731318,12856952,12955988,13197284,13793581,14464071,14526998,15029137,15205357,16319078,16572068,16677062,16788097,17034902,17664877,19063981,19587457,19751991,20114552,20180948,21327697,21862628,22029542,22487127,22628871,23062868,23514275,23782628,23806502,23924557,24429335,25225478,25910264,25934102,25990381,27361837,27703142,27736395,28045837,28217130,28558081,28812884,28899217,29052068,29149047,29315202,29585488,29821238,29920897,30098272,30458535,30770317,30796115,31712615,32397284,32489104,32637302,32859303,33283674,33533435,33644881,33745047,33829028,33860556,34392662,34486381,34899050,35829037,36550242,36665857,36844118,36927188,36955338,37557807,38055138,38334097,39497581,39724223,39782228,39829357,40172675,40240122,41483917,41800952,41878860,41920484,42073478,42802381,43242104,43624081,43809398,43952257,43994450,44056148,44502758,44670784,44711675,45359795,45541718,46662884,46768695,47026071,47735831,47960918,48207210,48647367,49000715,49325581,49648717,49881335,49886608,50211284,50254632,50256087,50373062,50851671,51421024,51628628,51742081,52063057,52793340,53464022,53654010,53733911,53823277,54431754,54695588,55166948,55176182,55415917,55574727,56050957,56122434,56209537,56312896,56506114,56536461,56748890,57230944,57621944,57848652,58248998,58422097,58589702,58800858,59366017,59638484,59828675,59857602,60630902,60777037,61007991,61379843,61924664,62656971,62666918,63352008,63357752,63891757,63951207,64021382,64204791,64384812,64567268,64824687,65471847,65900881,66048758,66489567,66670381,67131217,68098668,68203981,68407478,68455095,69665247,69736407,69753959,70087958,70490881,70759142,70855503,71259050,71271009,71277471,71703937,71713895,71794410,71801002,71804607,72006481,72459757,72769238,73018768,73063117,73450148,73683284,73758971,73865895,74440358,74566477,75465037,75774662,76229624,76434275,76580704,76762730,76773878,77254381,77404407,77942675,78293377,78374615,78571748,78790288,79771537,80723020,80783714,80810795,81208527,81770343,82146114,83192991,83360504,83732102,84061862,84141284,84162817,84391478,85050278,85481675,85510860,85758327,86056674,86153292,86244171,86766481,87054337,87373995,87685490,88362395,88639074,88990982,89917057,89938671,90299942,90587623,91054081,91211584,91479277,91557447,91721130,92115276,92585078,93173581,93198928,93236678,93531210,93562262,93780567,93876481,94049538,94304228,94567767,94857517,95188022,95365835,95685284,95729711,95837318,95915348,95974381,96867624,96897471,96947857,96972954,97134182,97577547,97779457,97835872,98056081,98346215,98746381,98752022,99039275,99766624,...,85484087982744919278412971057679640702165862484726924316762411293383051207220671012948649507728158846451137682138787321786962242671117376999342389150985681798856953062079181442600169547835521770430417880607816436036922697331444842270113940096995581696893164360970731105483930652882024941967136612588439377894787368045139440972302326890828751674034632432987990468578349207583858273281577293288675789569055112526259138465819176582596332334497434263727419167779837056815837442740157725072235745948772134847224606709158973233403362787268916985226446409044902683850641248331828284690033671502791868440599363888796273901415593501573589151037911539302662134157165919956924735457641435367790590449461200477640635650185732433961867819534414603959469120525417844223318485246135119625931355287483932193523421094694967270113747334320105435648200221907805061921714202247833206902652080395117926851649448798686070408011124730183400282304187072714011143078987118075181977130364140558313265659016011999194078864272060858361048279157989703070968044987295588203955987897029087986582315543946925149449515097029005530404609967259666593918524346446935279285635051247951100015845300903900494486787201626625736923106202769277019139550752785024394874260024149413597506164398895358081854190798419030888969361261013679215135559708947200377700675674655766184237079352026709667984602730296641691584724217781080267073530753132041191706306986903345177271563676802562031421796489283374219736964641963496361109988212575134871097195460684652250509972048776289457073807071189120274823237105597708800096721102257634367343222813820450223228965960347446178635016357910889482804825314238261118241033177152108865412114791112005839715520631167576294513807773517845265337683569040481087645940629987485201392190609054812326682442898584137824453258187682946616456539099685139591933962813628049079527112449093098678669640408507221213400733247820940837094605312581746598914657513179970693033120843712167392244303929995079124017636657198355506408636323928386692198014448689616897828561366007567252721368850894011025533293356611929064179393592570551832138110909044677221929600566856365692974084589936981755548582688602053787011709951959543430773604718635765342968318609281179807586690992423741048254842031195264665396740000346026549743561795867696264385968319579121420765900554693953711124765123758352933822502031737697021439651179802718435677398008985140486300862253389681368682011116023130386502639894755431379290933502982497712692943296035234740692020751019567252409815187229611675738933962491135579164933747115277565951023337304180619470189438630957026290608906229658366348171440851916314603993520073894467966559254995686522573180929419513717279506931149945608686441364160923553018892401044510594922054849387179322232733824859388875273500760953114215435900992303953292247515786038163196641298757478099686501711349125450686981088030372185876056456471478275612453601135081107118289006994303513472009441330423689236947279491093482568736143182171542760100467576401991635245526972068000861015702007261923174190468638549088523053579953467025517693733381590890814223036773174184191366957370040193127325406949879244067363919513062923761979472242198249189599583331353568343507130732989675211542747323578359412960888621513834471782789334282751318823086201562338097692649815634241035426932399610854365392218382792034257428118322571875905398923312906410867560391044033979974622001366176560434748866723410991175053943894370423979000645599272630743422679770342410001770859971387775850233005417655187359032557184570994360407363328170437839103780783672926540869159000019620634639238928696402035878485602706649187300681521285264936114739337582387883601053037216709423765736800787488829552669503533203111983979073145608836599828969043700607923170267145120111538234833031296584207540843866333334481767028456601331409714735025231759396446181396097265002360158441305147959045831760910237293168374035090074840639673642444863898334780093553078810133873533613434405923084031083746370845083096594807147787097169800398823576178473823631658454135584179203222876511874441303305102169085584400421463028348904317404184053611053886821330743040472657708223646744656173888062653600986226410491276717784172885055098439025691347948390999399773174644642650839143403968843012553952133876360889565008372058739682933013351884361416820673307316192155118376587336882442876622987103502630940056489563506259780520282684350165577768333732303454123462815902035726154553009696084352872472404727980651067666515782478326211653605966236059085226595492827357856359856791096009915344777427844642520995228805980958104963493416088655421844460524419240905248726996290738707675930741991065730704119418616740097543424167217037803255419226668452864127156076470621140489704077892177801273322385162467911048201470018793599177321465316}
30383  903603000404134581354726560169467153566030614491887349720579189546984567504047392118446: {1184313,1670185,2004222,2975966,4251380,4703785,5101656,5548377,5613085,5644542,5739363,6073400,6092913,6160441,6637233,6735702,6832575,7288080,7773952,8199090,8745696,8800630,8944105,9073753,9802081,9838908,9898617,10346281,10560756,10732926,10758985,11249833,11438557,11526393,12610497,12910782,13259017,14235033,15355582,16071190,16194985,16496605,17478273,17540566,17600233,17675977,18018057,18527353,19096977,19285428,19357558,19433982,19673137,19795926,20715085,21790497,22166113,22671481,23621617,23726662,24224881,24478617,24858102,25015593,25143190,25226185,25552353,25804873,25887302,26324617,26335988,27260377,27312013,27328285,28427966,28590817,28828585,29728285,29982836,30171828,30271422,30397921,31353982,32387830,32768353,32793942,33044313,33631081,34294777,34594302,35673942,35709753,36016105,36042157,36315085,36575833,36944233,36981860,37593613,37611937,37622840,37836841,37838217,38865396,38901153,39086936,39743197,40496605,40611380,40865257,41308441,41554713,42270262,42286285,42325695,43219326,43577281,43578102,43650782,43812404,43972803,44378232,44731857,44993396,45147408,46158985,46681513,48066902,48595926,48733656,48955953,49273784,49535497,49541246,49727785,49913581,49925511,50077076,50419201,50740184,50743542,50790834,51003286,51588993,52251190,52348575,52400605,53588317,53653496,54052630,54184081,54825363,55041121,55070185,55266177,55390782,55405897,55433007,55438033,55838480,57082707,58116013,58273118,58328605,59404573,59673342,60360183,61222153,61964737,62358260,62701428,62764105,62818290,62880726,63110217,63410281,63891422,64276280,64535785,64863156,65570713,65714097,65991675,66084222,66700921,66754137,67006176,67008116,67257718,67802228,67913053,68312577,68369485,68941502,68958685,69538022,69994326,70003681,70291657,70391120,71538680,71941377,72027430,72310815,72575672,72862297,72940441,73127302,74099636,74452633,74548105,74829912,75316926,75381948,75559593,76343462,77131536,77246257,77405830,77442942,77882137,78401144,79190010,79197190,79219657,79810136,80196033,80481015,80709085,80798462,81343988,81549062,81647631,82043382,82750422,82764273,82980566,83542628,83692513,84183651,84469344,84759171,85123335,85268276,85606388,85754006,85846416,86432916,86772978,87105337,87295796,87373497,87884553,88118881,88201287,88611037,88652756,89074777,89457726,89786403,90595117,90798224,90946353,91273460,91284973,91812685,91859041,92104105,92411257,92886996,92981876,93011281,93667057,94000377,94060561,94474004,94657417,95028012,95036628,95232673,95287030,95317081,95725880,95739476,95815081,96032073,96577218,96850902,97859677,98214685,98278297,98487860,99073137,99099757,99855782,...,128226131974117378917619456586519461053248793727090386475143616940074576810831006519422974261592238269676706523208180982680443364006676065499013583726478522698285429593118772163900254321753282655645626820911724654055384045997167263405170910145493372545339746541456096658225895979323037412950704918882659066842181052067709161458453490336243127511051948649481985702867523811375787409922365939933013684353582668789388707698728764873894498501746151395591128751669755585223756164110236587608353618923158202270836910063738459850105044180903375477839669613567354025775961872497742427035050507254187802660899045833194410852123390252360383726556867308953993201235748879935387103186462153051685885674191800716460953475278598650942801729301621905939203680788126766334977727869202679438897032931225898290285131642042450905170621001480158153472300332861707592882571303371749810353978120592676890277474173198029105612016687095275100423456280609071016714618480677112772965695546210837469898488524017998791118296408091287541572418736984554606452067480943382305933981845543631979873473315920387724174272645543508295606914950889499890877786519670402918928452576871926650023767951355850741730180802439938605384659304153915528709326129177536592311390036224120396259246598343037122781286197628546333454041891520518822703339563420800566551013511983649276355619028040064501976904095444962537377086326671620400610296129698061787559460480355017765907345515203843047132694733925061329605446962945244541664982318862702306645793191026978375764958073164434185610710606783680412234855658396563200145081653386451551014834220730675334843448940521169267952524536866334224207237971357391677361549765728163298118172186668008759573280946751364441770711660276767898006525353560721631468910944981227802088285913582218490023664347876206736679887281524419924684808649527709387900944220442073619290668673639648018004460612760831820101099871731411255641907968872619898371986269769956039549681265568251088366455894992618686026454985797533259612954485892580038297021673034425346742842049011350879082053276341016538299940034917893596269090388855827748207166363567015832894400850284548539461126884905472633322874032903080680517564927939315146160407077953648014452477913921769711380036488635611572382263046792896998095110000519039824615342693801544396578952479368682131148850832040930566687147685637529400733753047606545532159476769704077653516097013477710729451293380084522053023016674034695579753959842133147068936400254473746569039414944052852111038031126529350878614722780844417513608400943736703368747400620672916348926535005956270929205284157946435539435913359344487549522257161277874471905990280110841701949838882493529783859771394129270575919260396724918413029662046241385329528338601566765892383082274080768983349100737289083312910251141429671323153851488455929938371273679057244794961948136217149529752567023688176030471632045558278814084684707217413418680401702621660677433510491455270208014161995635533855420919236640223853104214773257314140150701364602987452868290458102001291523553010892884761285702957823632784580369930200538276540600072386336221334555159761276287050436055060289690988110424818866101045879269594385642969208363297373784399374997030352515260696099484512817314120985367539119441332932270751707674184001424126978234629302343507146538974723451361553140398599416281548088327574188051386142177483857813858098384969359616301340586566050969961933002049264840652123300085116486762580915841555635968500968398908946115134019655513615002656289957081663775349508126482781038548835776856491540611044992255656758655671175509389811303738500029430951958858393044603053817728404059973780951022281927897404172109006373581825401579555825064135648605201181233244329004255299804667975968609718413254899743453565550911884755400717680167307352249546944876311311265799500001722650542684901997114572102537847639094669272094145897503540237661957721938568747641365355939752561052635112260959510463667295847502170140329618215200810300420151608884626046625619556267624644892210721680645754700598235364267710735447487681203376268804834314767811661954957653253628376600632194542523356476106276080416580830231996114560708986562335470116984260832093980401479339615736915076676259327582647658538537021922586499099659761966963976258715105953264518830928200814541334347512558088109524399520027826542125231009960974288232677564881005323664314934480655253946410084734345259389670780424026525248366652500598455181185194223853053589231829514544126529308708607091970976601499773673717489317480408949354088627839893239241036784539785186644014873017166141766963781492843208971437157445240124132983132766690786628861357873090494436108061513896112986598596056179127925110146315136250825556704883128840002679296190734114705931710734556116838266701909983577743701866572302205028190398765982197974}
30384  906393701312977851834916081239693837736527653000841734835039757562540406725537977402472: {516239,1122839,1304663,1579084,1849703,2152223,2487962,2672296,3006333,3420623,3578114,3963143,4463949,5226503,5314225,5392154,5466743,5946839,6377070,6725903,6802208,6840794,7397836,7526056,7563383,7591750,7652484,8123884,8160623,8458943,8466813,8816663,8849644,8980936,9110100,9412223,9717440,10103553,10125839,10812674,10932120,11194103,11660928,12023183,12298635,13118544,13198156,13200945,13676639,13853423,13971239,14081008,14310568,14758362,15030143,15368524,15558623,15841134,15842594,16099389,16200794,16320839,16813996,17214376,17632154,18704162,18774143,18980044,19123463,19366173,19646903,20807783,21200474,22023263,22254383,22889303,23033373,23304364,23580839,23983703,24024076,24106785,25189943,25304639,25462636,25713904,25911976,26049383,26310849,26394568,26849903,27587162,27705863,27876839,28901183,28928142,29036337,29053996,29150973,29298839,29693889,29979623,30058274,30410714,30828983,31845839,32127839,32638156,32919985,33144136,33354124,33576194,33703343,33984023,34069804,34201069,34824863,35329754,35496239,35589993,35887343,36054839,37287153,37336583,37478545,37714785,38003639,38127962,38392223,38830953,39174914,39500303,39503982,39666239,40229104,40361896,41211503,41981783,42641949,42655394,42860183,43114561,43725256,44059084,44397661,44974254,45156239,45257742,45265223,45407133,46125736,46227325,46407623,46946809,47028550,47030973,47565256,47613004,47849114,48581745,48681839,48858670,49190913,49329023,49382903,49867463,50190143,50450956,50764225,50834639,51102839,51745703,51820528,51868204,51891453,51980762,52707839,53241239,53347823,53510913,54305639,54723674,54765505,55406284,55472783,55472790,56054903,56091674,56241745,56415073,56434260,56688839,57116162,57625768,57798434,58104136,58298094,58630404,59055839,59170976,59642476,59841794,60196544,60917070,61540634,61592230,62082743,62550023,62596345,63405393,63425230,63503713,63896303,64257839,64515839,64794568,64828989,64978208,65274604,65367153,65442983,65476173,65718606,66059639,66567348,66726383,67066870,67289762,67490094,67596239,67658056,67721112,67749503,68106839,68208863,68601001,68785324,68871239,68972762,69798100,69833869,71153639,71658074,72011663,72062063,72100353,72666239,72766823,72893889,73068383,73100484,73331714,73419839,73688236,73854376,73910676,74311869,74321783,74421839,74571863,75021503,75115614,75520343,76068143,76110276,76115313,76186251,76416239,76504929,76668194,77259983,77309543,77947825,78051983,78299063,78376785,78644639,78995162,79448446,79564456,79629839,79658714,79777343,80345350,80366639,80480244,81003743,81078945,81101639,82436497,82712303,82967834,83086173,83601904,83757720,83760145,83840968,84146956,84752785,85604762,86484208,86676839,87169693,87248162,87409677,87618796,87904514,87988900,88112296,88352639,89005516,89341568,89423350,89510013,89543639,89923703,90719590,91083436,91108103,91533263,92522783,92624545,93086639,93227423,93325768,93537390,93883463,94052142,94227435,94321089,95471662,95749223,95837133,95921836,96027983,96414420,96584639,97294734,98001430,98063423,98109503,98523863,98651162,98661839,98753783,99126333,99297434,99762670,99773216,...,192339197961176068376429184879779191579873190590635579712715425410111865216246509779134461392388357404515059784812271474020665046010014098248520375589717784047428144389678158245850381482629923983468440231367586981083076068995750895107756365218240058818009619812184144987338843968984556119426057378323988600263271578101563742187680235504364691266577922974222978554301285717063681114883548909899520526530374003184083061548093147310841747752619227093386693127504633377835634246165354881412530428384737303406255365095607689775157566271355063216759504420351031038663942808746613640552575760881281703991348568749791616278185085378540575589835300963430989801853623319903080654779693229577528828511287701074691430212917897976414202593952432858908805521182190149502466591803804019158345549396838847435427697463063676357755931502220237230208450499292561389323856955057624715530967180889015335416211259797043658418025030642912650635184420913606525071927721015669159448543319316256204847732786026998186677444612136931312358628105476831909678101221415073458900972768315447969810209973880581586261408968315262443410372426334249836316679779505604378392678865307889975035651927033776112595271203659907908076988956230873293063989193766304888467085054336180594388869897514555684171929296442819500181062837280778234055009345131200849826520267975473914533428542060096752965356143167443806065629490007430600915444194547092681339190720532526648861018272805764570699042100887591994408170444417866812497473478294053459968689786540467563647437109746651278416065910175520618352283487594844800217622480079677326522251331096013002265173410781753901928786805299501336310856957036087516042324648592244947177258280002013139359921420127046662656067490415151847009788030341082447203366417471841703132428870373327735035496521814310105019830922286629887027212974291564081851416330663110428936003010459472027006690919141247730151649807597116883462861953308929847557979404654934059324521898352376632549683842488928029039682478696299889419431728838870057445532509551638020114263073517026318623079914511524807449910052376840394403635583283741622310749545350523749341601275426822809191690327358208949984311049354621020776347391908972719240610616930472021678716870882654567070054732953417358573394570189345497142665000778559736923014040702316594868428719053023196723276248061395850030721528456294101100629571409818298239215154556116480274145520216566094176940070126783079534525011052043369630939763199720603404600381710619853559122416079278166557046689794026317922084171266626270412601415605055053121100931009374523389802508934406393807926236919653309153870039016731324283385741916811707858985420166262552924758323740294675789657091193905863878890595087377619544493069362077994292507902350148838574623411121153475023651105933624969365376712144506984730777232683894907556910518585867192442922204325724294628850535532264045707448068337418221127027060826120128020602553932491016150265737182905312021242993453300783131378854960335779656322159885971210226052046904481179302435687153001937285329516339327141928554436735449176870554895300807414810900108579504332001832739641914430575654082590434536482165637228299151568818904391578464453812544946060676599062495545528772891044149226769225971181478051308679161999398406127561511276002136190467351943953515260719808462085177042329710597899124422322132491361282077079213266225786720787147577454039424452010879849076454942899503073897260978184950127674730143871373762333453952751452598363419172701029483270422503984434935622495663024262189724171557823253665284737310916567488383485137983506763264084716955607750044146427938287589566904580726592606089960671426533422891846106258163509560372738102369333737596203472907801771849866493506382949707001963952914577619882349615180348326367827133101076520250961028374320417314466966898699250002583975814027352995671858153806771458642003908141218846255310356492936582907853121462048033909628841578952668391439265695500943771253255210494427322801215450630227413326939069938429334401436967338316082520968632050897353046401566103171231521805064403207251472151717492932436479880442564900948291813785034714159414120624871245347994171841063479843503205175476391248140970602219009423605372615014388991373971487807805532883879748649489642950445964388072658929896778246392301221812001521268837132164286599280041739813187846514941461432349016347321507985496472401720982880919615127101517889084506170636039787872549978750897682771777791335779580383847744271816189793963062910637956464902249660510576233976220613424031132941759839858861555176809677779966022309525749212650445672239264813457155736167860186199474699150036179943292036809635741654162092270844169479897894084268691887665219472704376238335057324693260004018944286101172058897566101834175257400052864975366615552799858453307542285598148973296961}
30385  909192971127837255491889435883669026771594239808792194368864807336839894447164197404552: {1973855,2338259,2368626,3340370,3731943,4008444,5367171,5951932,6585299,7858319,8088231,8502760,9247295,9407570,9565605,10154855,10203312,10261191,10955267,11062055,11096754,11226170,11289084,11387625,11478726,12146800,12185826,12227423,12320882,12521747,13274466,13471404,13665150,14576160,15062579,15547904,16219011,16398180,16497695,17491392,17601260,17888210,18147506,19210655,19604162,19677816,19797234,20340023,20692562,20889791,21017495,21121512,21465852,21517970,22137543,22336259,22499666,22672979,22877114,23052786,23095247,23250071,23725055,23761701,23763891,24301191,24773891,25220994,25821564,26448231,26518034,27074867,28056243,28470066,29001119,29130455,29140403,29985491,30030095,30525191,30711164,31110911,31428359,31800711,31828295,32142380,32389970,32532287,32993210,33974147,34297043,34956546,35081132,35200466,35316659,35351954,36036114,36317495,37054706,37800311,38193954,38259599,38527823,38570856,38715116,38867964,39346274,39591852,39745823,40360019,40530191,40797695,41380743,41430170,41619599,41692655,42016391,42587255,43392213,43580994,44157299,44332226,44450471,45087411,45342962,45616071,45975719,47243234,47453324,48449762,48957234,49716204,49916879,50031186,50200403,50286380,50364291,50422547,50452370,50841119,51104706,51500423,51609746,51774604,52649234,52671976,52994631,54168323,54520754,54624026,54656570,55073855,55785767,56069927,56695247,56855932,57181634,57191943,57284063,57657170,58541951,58762371,59200799,59255973,59456570,59516255,59965672,60343656,60542844,60795842,61516547,62707964,63063695,63983091,64074263,64622579,64775660,64835255,64953191,65290319,65536706,65587884,66088626,67262162,67461381,67886613,68589554,69188604,69257855,69618899,70542825,71347884,71419506,71683571,71773671,72032210,72084314,72630170,73151666,73288005,73360847,73888466,73963720,74553095,74939423,75187226,75223874,75245680,75673682,75676434,75844271,77098259,77730792,77802306,77887283,77971143,78173872,79486394,79882583,80633159,80993210,81222760,81593255,81660047,81730514,82085511,82616882,82731623,83109426,83209185,84137511,84540524,84572570,84651390,85118567,85674243,85981655,86438652,86697651,87154562,87156204,87247625,87301564,87447141,87624808,87869747,87945606,88476287,88756464,89463714,89737043,89762691,89986792,90294816,90350099,90365711,90601103,91291031,91375605,91705559,92110295,92310951,92317970,92388345,92417363,92885399,93363026,93538691,93623231,93673283,94722143,95014391,95137845,95323379,95717279,96133804,96542159,96622931,97191852,97467312,97866143,97911906,98547568,98577909,99070994,99082492,99455570,99642887,99827162,99851022,...,256452263948234757835238913173038922106497587454180772950287233880149153621662013038845948523184476539353413046416361965360886728013352130998027167452957045396570859186237544327800508643506565311291253641823449308110768091994334526810341820290986745090679493082912193316451791958646074825901409837765318133684362104135418322916906980672486255022103897298963971405735047622751574819844731879866027368707165337578777415397457529747788997003492302791182257503339511170447512328220473175216707237846316404541673820127476919700210088361806750955679339227134708051551923744995484854070101014508375605321798091666388821704246780504720767453113734617907986402471497759870774206372924306103371771348383601432921906950557197301885603458603243811878407361576253532669955455738405358877794065862451796580570263284084901810341242002960316306944600665723415185765142606743499620707956241185353780554948346396058211224033374190550200846912561218142033429236961354225545931391092421674939796977048035997582236592816182575083144837473969109212904134961886764611867963691087263959746946631840775448348545291087016591213829901778999781755573039340805837856905153743853300047535902711701483460361604879877210769318608307831057418652258355073184622780072448240792518493196686074245562572395257092666908083783041037645406679126841601133102027023967298552711238056080129003953808190889925074754172653343240801220592259396123575118920960710035531814691030407686094265389467850122659210893925890489083329964637725404613291586382053956751529916146328868371221421213567360824469711316793126400290163306772903102029668441461350669686897881042338535905049073732668448414475942714783354723099531456326596236344373336017519146561893502728883541423320553535796013050707121443262937821889962455604176571827164436980047328695752413473359774563048839849369617299055418775801888440884147238581337347279296036008921225521663640202199743462822511283815937745239796743972539539912079099362531136502176732911789985237372052909971595066519225908971785160076594043346068850693485684098022701758164106552682033076599880069835787192538180777711655496414332727134031665788801700569097078922253769810945266645748065806161361035129855878630292320814155907296028904955827843539422760072977271223144764526093585793996190220001038079649230685387603088793157904958737364262297701664081861133374295371275058801467506095213091064318953539408155307032194026955421458902586760169044106046033348069391159507919684266294137872800508947493138078829888105704222076062253058701757229445561688835027216801887473406737494801241345832697853070011912541858410568315892871078871826718688975099044514322555748943811980560221683403899677764987059567719542788258541151838520793449836826059324092482770659056677203133531784766164548161537966698201474578166625820502282859342646307702976911859876742547358114489589923896272434299059505134047376352060943264091116557628169369414434826837360803405243321354867020982910540416028323991271067710841838473280447706208429546514628280301402729205974905736580916204002583047106021785769522571405915647265569160739860401076553081200144772672442669110319522552574100872110120579381976220849637732202091758539188771285938416726594747568798749994060705030521392198969025634628241970735078238882665864541503415348368002848253956469258604687014293077949446902723106280797198832563096176655148376102772284354967715627716196769938719232602681173132101939923866004098529681304246600170232973525161831683111271937001936797817892230268039311027230005312579914163327550699016252965562077097671553712983081222089984511313517311342351018779622607477000058861903917716786089206107635456808119947561902044563855794808344218012747163650803159111650128271297210402362466488658008510599609335951937219436826509799486907131101823769510801435360334614704499093889752622622531599000003445301085369803994229144205075695278189338544188291795007080475323915443877137495282730711879505122105270224521919020927334591695004340280659236430401620600840303217769252093251239112535249289784421443361291509401196470728535421470894975362406752537609668629535623323909915306507256753201264389085046712952212552160833161660463992229121417973124670940233968521664187960802958679231473830153352518655165295317077074043845172998199319523933927952517430211906529037661856401629082668695025116176219048799040055653084250462019921948576465355129762010647328629868961310507892820169468690518779341560848053050496733305001196910362370388447706107178463659029088253058617417214183941953202999547347434978634960817898708177255679786478482073569079570373288029746034332283533927562985686417942874314890480248265966265533381573257722715746180988872216123027792225973197192112358255850220292630272501651113409766257680005358592381468229411863421469112233676533403819967155487403733144604410056380797531964395948}
30386  912000836007156130164173950607333373136158977636872987705567623729208215818518245245298: {576973,1032478,2031373,2212849,2245678,2394253,2609326,3158168,3552939,3699406,3842893,4304446,4926349,4975924,5010555,5344592,6007213,6012666,6841246,7156228,7439915,7926286,8340193,8519149,8927898,10453006,10628450,10784308,10933486,11194849,11893678,11905633,12754140,13146733,13451806,13604416,13681588,14111355,14795672,15052112,15126766,15183500,15304968,15618349,16247768,16321246,16645131,16839255,16917886,16933626,17218089,17633326,17699288,17961872,18220200,18278739,18481323,18824446,19434880,19911699,20207106,20251678,20497725,21625348,21864240,22001575,22388206,22429153,23294413,23321856,24046366,24597270,25363693,26237088,26396312,26401890,26832315,27221259,27353278,27706846,27942478,28162016,28621136,29300833,29406243,29516724,29695851,30060286,30491533,30737048,31038843,31117246,31682268,31685188,32198778,32276955,32401588,32641678,32693473,33627992,33749499,34315671,34428752,34579179,35264308,35386849,36392113,37408324,37548286,37831491,37960088,38246926,38388955,38561293,38732346,39293806,39777051,40177975,41615566,42039649,42204493,42400948,42705099,43851415,44046526,44504749,44508766,44668513,45486253,45778606,45976033,46066746,46087979,46608728,46790893,47161678,47603953,47766349,47967406,48048152,48213570,48393895,48584955,48739213,49386349,49489815,50354893,50379886,50609278,50925272,50999149,51160033,51427808,51823952,52098766,52434819,52469963,52621698,52789136,52800699,53027931,53404849,53699806,54054171,55174324,55411726,55582059,55753678,56587249,56745613,57290931,57802366,57856284,58072674,58107992,58301946,58597678,59019411,59112433,59316655,59387778,59959246,60116548,60821428,61657966,62087149,62145255,62423779,62857975,63691678,64255678,64262413,64718255,65276312,65371491,65839970,66288272,66498339,66672359,66708248,66884833,67152388,67406686,67968046,68014443,68139608,68402138,68876173,69649726,69791149,70659508,70703533,70864851,70992478,71069915,71179986,71774686,72067249,72109678,72674643,73425133,73435851,74477233,74574306,74673166,74957090,75046779,75076849,75429570,75678555,76007278,76255924,76657059,76671707,76784446,77315149,77414619,77661906,78349828,78384955,78650353,78738443,78973851,79000606,79007964,79332478,80458208,80723792,80969575,81781131,81936039,81984855,82423006,82620973,83350513,83963566,84439003,84804193,85283898,85310788,85720366,85772451,86229122,86485755,87450512,87634883,88118168,88406893,88795322,89184855,89692849,89835373,89948508,90312478,90404749,90515484,90530446,90814266,91193763,92251472,92454650,92529649,92815246,93893618,94057100,94061946,95130512,95197933,95226008,95698228,96454039,97163490,97363678,97424951,97717340,98116849,98305059,98381826,98658046,98765806,99132939,99633133,99734926,...,384678395922352136752858369759558383159746381181271159425430850820223730432493019558268922784776714809030119569624542948041330092020028196497040751179435568094856288779356316491700762965259847966936880462735173962166152137991501790215512730436480117636019239624368289974677687937969112238852114756647977200526543156203127484375360471008729382533155845948445957108602571434127362229767097819799041053060748006368166123096186294621683495505238454186773386255009266755671268492330709762825060856769474606812510730191215379550315132542710126433519008840702062077327885617493227281105151521762563407982697137499583232556370170757081151179670601926861979603707246639806161309559386459155057657022575402149382860425835795952828405187904865717817611042364380299004933183607608038316691098793677694870855394926127352715511863004440474460416900998585122778647713910115249431061934361778030670832422519594087316836050061285825301270368841827213050143855442031338318897086638632512409695465572053996373354889224273862624717256210953663819356202442830146917801945536630895939620419947761163172522817936630524886820744852668499672633359559011208756785357730615779950071303854067552225190542407319815816153977912461746586127978387532609776934170108672361188777739795029111368343858592885639000362125674561556468110018690262401699653040535950947829066857084120193505930712286334887612131258980014861201830888389094185362678381441065053297722036545611529141398084201775183988816340888835733624994946956588106919937379573080935127294874219493302556832131820351041236704566975189689600435244960159354653044502662192026004530346821563507803857573610599002672621713914072175032084649297184489894354516560004026278719842840254093325312134980830303694019576060682164894406732834943683406264857740746655470070993043628620210039661844573259774054425948583128163702832661326220857872006020918944054013381838282495460303299615194233766925723906617859695115958809309868118649043796704753265099367684977856058079364957392599778838863457677740114891065019103276040228526147034052637246159829023049614899820104753680788807271166567483244621499090701047498683202550853645618383380654716417899968622098709242041552694783817945438481221233860944043357433741765309134140109465906834717146789140378690994285330001557119473846028081404633189736857438106046393446552496122791700061443056912588202201259142819636596478430309112232960548291040433132188353880140253566159069050022104086739261879526399441206809200763421239707118244832158556333114093379588052635844168342533252540825202831210110106242201862018749046779605017868812787615852473839306618307740078033462648566771483833623415717970840332525105849516647480589351579314182387811727757781190174755239088986138724155988585015804700297677149246822242306950047302211867249938730753424289013969461554465367789815113821037171734384885844408651448589257701071064528091414896136674836442254054121652240256041205107864982032300531474365810624042485986906601566262757709920671559312644319771942420452104093808962358604871374306003874570659032678654283857108873470898353741109790601614829621800217159008664003665479283828861151308165180869072964331274456598303137637808783156928907625089892121353198124991091057545782088298453538451942362956102617358323998796812255123022552004272380934703887907030521439616924170354084659421195798248844644264982722564154158426532451573441574295154908078848904021759698152909885799006147794521956369900255349460287742747524666907905502905196726838345402058966540845007968869871244991326048524379448343115646507330569474621833134976766970275967013526528169433911215500088292855876575179133809161453185212179921342853066845783692212516327019120745476204738667475192406945815603543699732987012765899414003927905829155239764699230360696652735654266202153040501922056748640834628933933797398500005167951628054705991343716307613542917284007816282437692510620712985873165815706242924096067819257683157905336782878531391001887542506510420988854645602430901260454826653878139876858668802873934676632165041937264101794706092803132206342463043610128806414502944303434985864872959760885129801896583627570069428318828241249742490695988343682126959687006410350952782496281941204438018847210745230028777982747942975615611065767759497298979285900891928776145317859793556492784602443624003042537674264328573198560083479626375693029882922864698032694643015970992944803441965761839230254203035778169012341272079575745099957501795365543555582671559160767695488543632379587926125821275912929804499321021152467952441226848062265883519679717723110353619355559932044619051498425300891344478529626914311472335720372398949398300072359886584073619271483308324184541688338959795788168537383775330438945408752476670114649386520008037888572202344117795132203668350514800105729950733231105599716906615084571196297946593922}
30387  914817322188768743508561653834544232225108341161626856600039507180457417211628254195249: {1548717,2763397,3368517,3913989,3947710,4676518,4737252,5549109,6219905,6456669,6680740,7463886,8016888,8945285,9018999,9680693,10261869,10734342,11865677,11889429,11903864,12946213,13170598,13391847,13480385,14216797,14958113,15486877,15679509,15716638,15942675,16050389,16176462,16400229,17005520,17101985,17678309,17840517,18494590,18815140,18979375,19131210,20177709,20309710,20406624,20522382,21910534,22124110,22193508,22452340,22578168,22690149,22775250,22957452,23096773,24038209,24228077,24293600,24371652,24454846,24481869,24641764,25043494,25376829,25400439,26397397,26449989,26548932,26894917,26942808,27031685,27330300,27657509,28236669,28594589,29152320,29424493,30125158,30310659,30377517,31095808,32438022,32796360,32995390,33215077,33582309,34775893,34982784,35125813,35202520,35626613,35776420,36069549,36295012,36895905,38421310,39208324,39355632,39594468,39602835,39606485,40407229,40501985,40532869,40680046,40782637,41029917,41385124,41498497,41560269,41779582,41913717,42034990,42042133,42243024,42931704,43035940,44080385,44275086,44559613,44672518,44999332,45090429,45345958,45754228,46105572,46190494,46500142,46675869,46760405,47450110,47523402,47527782,48218437,48298167,48602382,48962517,49468469,49547782,50441988,50844493,51643128,51971873,52896462,53001185,53036068,54149734,55789453,56112486,56322429,56940132,57116773,57370389,57476309,58002238,58098519,58260910,58280806,58369717,58940709,59327749,59457893,59622157,59970982,60060190,61050382,61422328,62221822,62423349,62666389,62856718,63601422,63656590,64017109,64284760,64779940,65064574,65826689,65986420,66069789,66763149,66917237,67948294,68594086,68667909,68967905,69100119,69913092,70162264,70400932,70633318,70703908,70742517,71951109,72072228,72320355,72634990,72971533,74109412,75145685,75569829,75600622,75724129,75913917,76026785,76387908,76519198,77055646,77103397,77141712,77430232,77735928,78124289,78148149,78692548,78932547,79183704,79230173,79491646,80549709,80720038,81060382,81595390,82761486,82860340,83117589,83239198,83322757,83385310,83630517,83940485,84032782,85146413,85174510,85746317,86703549,86784426,87109011,87116909,87161988,87452919,87896517,88289173,88314598,88324385,88482133,88664452,88809377,88900942,89081667,89938869,90119413,90174822,90685924,90769357,90988813,91232142,91951438,92486949,94406689,94486468,94906648,95020669,95319905,95537517,96383517,96597829,96899524,96960997,97914468,97937285,98759955,99432408,99833758,...,577017593883528205129287554639337574739619571771906739138146276230335595648739529337403384177165072213545179354436814422061995138030042294745561126769153352142284433169034474737551144447889771950405320694102760943249228206987252685323269095654720176454028859436552434962016531906953668358278172134971965800789814734304691226563040706513094073799733768922668935662903857151191043344650646729698561579591122009552249184644279441932525243257857681280160079382513900133506902738496064644237591285154211910218766095286823069325472698814065189650278513261053093115991828426239840921657727282643845111974045706249374848834555256135621726769505902890292969405560869959709241964339079688732586485533863103224074290638753693929242607781857298576726416563546570448507399775411412057475036648190516542306283092389191029073267794506660711690625351497877684167971570865172874146592901542667046006248633779391130975254075091928737951905553262740819575215783163047007478345629957948768614543198358080994560032333836410793937075884316430495729034303664245220376702918304946343909430629921641744758784226904945787330231117279002749508950039338516813135178036595923669925106955781101328337785813610979723724230966868692619879191967581298914665401255163008541783166609692543667052515787889328458500543188511842334702165028035393602549479560803926421743600285626180290258896068429502331418196888470022291802746332583641278044017572161597579946583054818417293712097126302662775983224511333253600437492420434882160379906069359621402690942311329239953835248197730526561855056850462784534400652867440239031979566753993288039006795520232345261705786360415898504008932570871108262548126973945776734841531774840006039418079764260381139987968202471245455541029364091023247341610099252415525109397286611119983205106489565442930315059492766859889661081638922874692245554248991989331286808009031378416081020072757423743190454949422791350650388585859926789542673938213964802177973565695057129897649051527466784087119047436088899668258295186516610172336597528654914060342789220551078955869239743534574422349730157130521183210906749851224866932248636051571248024803826280468427575070982074626849952933148063863062329042175726918157721831850791416065036150612647963701210164198860252075720183710568036491427995002335679210769042122106949784605286157159069590169828744184187550092164585368882303301888714229454894717645463668349440822436560649698282530820210380349238603575033156130108892819289599161810213801145131859560677367248237834499671140069382078953766252513799878811237804246815165159363302793028123570169407526803219181423778710758959927461610117050193972850157225750435123576956260498787658774274971220884027368971273581717591636671785262132858633479208086233982877523707050446515723870233363460425070953317800874908096130136433520954192331698051684722670731555757601577328766612977172883886551606596792137122344205012254663381081182478360384061807661797473048450797211548715936063728980359902349394136564881007338968966479657913630678156140713443537907307061459005811855988549017981425785663310206347530611664685902422244432700325738512996005498218925743291726962247771303609446496911684897454706456713174735393361437634838182029797187486636586318673132447680307677913544434153926037485998195218382684533828006408571402055831860545782159425386255531126989131793697373266966397474083846231237639798677360162361442732362118273356032639547229364828698509221691782934554850383024190431614121287000361858254357795090257518103088449811267511953304806867486989072786569172514673469760995854211932749702465150455413950520289792254150866823250132439283814862768700713742179777818269882014279600268675538318774490528681118214307108001212788610418723405315549599480519148849121005891858743732859647048845541044979103481399303229560752883085122961251943400900696097750007751927442082058987015574461420314375926011724423656538765931069478809748723559364386144101728886524736858005174317797086502831313759765631483281968403646351890682239980817209815288003204310902014948247562905896152692059139204698309513694565415193209621754416455152478797309439641327694702844875441355104142478242361874613736043982515523190439530509615526429173744422911806657028270816117845043166974121914463423416598651639245948468928851337893164217976789690334739176903665436004563806511396492859797840125219439563539544824384297047049041964523956489417205162948642758845381304553667253518511908119363617649936252693048315333374007338741151543232815448569381889188731913869394706748981531728701928661840272093398825279519576584665530429033339898066928577247637951337016717794440371467208503580558598424097450108539829876110428907224962486276812532508439693682252806075662995658418113128715005171974079780012056832858303516176692698305502525772200158594926099846658399575359922626856794446919890883}
30388  917642455990139845370567567437089135271842952335462987205024165114163263258001920909720: {1153946,1244227,1426027,2064956,4062746,4425698,4491356,4788506,5218652,5767627,5921565,6316336,6846547,7014777,7105878,7398812,7564387,7685786,8102011,8350925,8608892,9532507,9852698,9951848,10021110,10415881,10689184,10780411,11195829,12014426,12025332,13682492,13796347,13973107,14312456,14879830,15208411,15560707,15852572,16101513,16680386,16967011,17038298,17843611,17855796,19242427,19755897,20906012,21256900,21332011,21568616,21866972,22389698,23518925,23574957,23787356,23811266,24264693,24274507,25308067,25508280,26167387,26293466,26903612,27208832,27363176,27741885,28065425,28222710,28696815,28734547,29591344,30104224,30253532,30367000,30464565,30609936,30776611,30783573,30802205,31115947,31236698,31963027,32495536,32642492,32865801,33186165,33290262,33678510,33835772,33867252,34162875,34436178,34493467,34661587,35266652,35398576,35923744,36440400,36557478,36673411,36682269,36962646,37565241,37648892,38869760,39505747,39671707,39823398,40414212,40503356,40831411,40995450,41327347,41657611,42975787,43250696,43728480,44003150,44720525,44776412,44858306,45187737,45271507,45368765,46588826,46643712,47065387,48092732,48657033,49010405,49194540,49493085,50727386,51731405,52474176,52715227,52792624,52803780,53355307,53664630,53744537,53794925,53834611,54442518,54706556,55413692,55427611,55884956,56221411,56249165,56324032,57192785,57242272,57631965,57803611,58592011,58601666,58812486,58906867,59033448,59378611,59391702,59692747,60120572,60983066,61020069,61391981,61474096,62077686,62195467,62234492,62669373,62973787,63052485,63364536,63370376,64397556,64553910,64803176,65283356,65386946,66069067,66295085,66412629,67008777,67255984,67498998,67751453,68018937,68218627,68371627,68631342,68857504,69158358,69285741,69750213,69767753,70528616,70773698,71175165,71285103,71291673,71719411,72475411,72777307,72784226,72903573,73773557,74321673,74432587,74732611,74816648,75096572,75662982,75780427,75920176,76493852,76675747,76777910,77122586,77464692,78162187,78587612,78754747,79198411,79344693,79554102,79936411,80355950,80672611,80974925,81113467,81224601,82483025,83043317,83231132,84079298,84168729,84326611,84408986,84801896,85410198,86785627,87003357,87217411,87391365,87421209,87702830,88001165,88093052,88379885,89009498,89017532,89337026,89956473,90079411,90090285,90605557,90972506,91074307,91557212,91575573,91924267,91952066,92133492,92175958,92636765,93194347,93217456,93332733,93335107,93581786,94285077,94323356,94738747,95018611,95207906,95402133,95484885,95532698,95934812,96096304,96427140,96787790,97169910,97478426,97596861,97801411,98078107,98216347,98365685,98768587,98772698,98979630,99182011,99497881,99791549,...,769356791844704273505716739519116766319492762362542318850861701640447460864986039116537845569553429618060239139249085896082660184040056392994081502358871136189712577558712632983401525930519695933873760925470347924332304275983003580431025460872960235272038479248736579949355375875938224477704229513295954401053086312406254968750720942017458765066311691896891914217205142868254724459534195639598082106121496012736332246192372589243366991010476908373546772510018533511342536984661419525650121713538949213625021460382430759100630265085420252867038017681404124154655771234986454562210303043525126815965394274999166465112740341514162302359341203853723959207414493279612322619118772918310115314045150804298765720851671591905656810375809731435635222084728760598009866367215216076633382197587355389741710789852254705431023726008880948920833801997170245557295427820230498862123868723556061341664845039188174633672100122571650602540737683654426100287710884062676637794173277265024819390931144107992746709778448547725249434512421907327638712404885660293835603891073261791879240839895522326345045635873261049773641489705336999345266719118022417513570715461231559900142607708135104450381084814639631632307955824923493172255956775065219553868340217344722377555479590058222736687717185771278000724251349123112936220037380524803399306081071901895658133714168240387011861424572669775224262517960029722403661776778188370725356762882130106595444073091223058282796168403550367977632681777671467249989893913176213839874759146161870254589748438986605113664263640702082473409133950379379200870489920318709306089005324384052009060693643127015607715147221198005345243427828144350064169298594368979788709033120008052557439685680508186650624269961660607388039152121364329788813465669887366812529715481493310940141986087257240420079323689146519548108851897166256327405665322652441715744012041837888108026763676564990920606599230388467533851447813235719390231917618619736237298087593409506530198735369955712116158729914785199557677726915355480229782130038206552080457052294068105274492319658046099229799640209507361577614542333134966489242998181402094997366405101707291236766761309432835799937244197418484083105389567635890876962442467721888086714867483530618268280218931813669434293578280757381988570660003114238947692056162809266379473714876212092786893104992245583400122886113825176404402518285639273192956860618224465921096582080866264376707760280507132318138100044208173478523759052798882413618401526842479414236489664317112666228186759176105271688336685066505081650405662420220212484403724037498093559210035737625575231704947678613236615480156066925297133542967667246831435941680665050211699033294961178703158628364775623455515562380349510478177972277448311977170031609400595354298493644484613900094604423734499877461506848578027938923108930735579630227642074343468769771688817302897178515402142129056182829792273349672884508108243304480512082410215729964064601062948731621248084971973813203132525515419841343118625288639543884840904208187617924717209742748612007749141318065357308567714217746941796707482219581203229659243600434318017328007330958567657722302616330361738145928662548913196606275275617566313857815250179784242706396249982182115091564176596907076903884725912205234716647997593624510246045104008544761869407775814061042879233848340708169318842391596497689288529965445128308316853064903146883148590309816157697808043519396305819771598012295589043912739800510698920575485495049333815811005810393453676690804117933081690015937739742489982652097048758896686231293014661138949243666269953533940551934027053056338867822431000176585711753150358267618322906370424359842685706133691567384425032654038241490952409477334950384813891631207087399465974025531798828007855811658310479529398460721393305471308532404306081003844113497281669257867867594797000010335903256109411982687432615227085834568015632564875385021241425971746331631412485848192135638515366315810673565757062782003775085013020841977709291204861802520909653307756279753717337605747869353264330083874528203589412185606264412684926087220257612829005888606869971729745919521770259603793167255140138856637656482499484981391976687364253919374012820701905564992563882408876037694421490460057555965495885951231222131535518994597958571801783857552290635719587112985569204887248006085075348528657146397120166959252751386059765845729396065389286031941985889606883931523678460508406071556338024682544159151490199915003590731087111165343118321535390977087264759175852251642551825859608998642042304935904882453696124531767039359435446220707238711119864089238102996850601782688957059253828622944671440744797898796600144719773168147238542966616648369083376677919591576337074767550660877890817504953340229298773040016075777144404688235590264407336701029600211459901466462211199433813230169142392595893187844}
30389  920476263808604938774121098845256738000939827384727886550770330611402725967091362459204: {30389,1730919,2581195,3097434,3674407,5526794,5614195,6094119,6523315,6638547,6737034,7182759,7827978,7895420,8707867,9248515,9353036,9474504,10348327,10658817,10761115,11098218,11440819,11528679,12348787,12439810,12523399,12913338,13261639,13361480,14779047,14927772,15031665,15989707,16033776,16717891,17103115,17890570,18021639,18037998,18872539,19361386,19677031,19815715,20523738,20892547,21468684,22319745,23669767,23731354,23778858,23807728,23942779,25020579,25557447,25892426,26132515,26341196,26571125,26783694,26960770,27078439,27317419,27333715,28433594,29734195,29916226,29989447,30403939,30973754,31359018,31433276,31885350,32100778,32352924,32536579,32686147,32774839,32800458,33584547,33629515,34011040,34203970,35356618,35628967,35681034,35716899,36049291,36292531,36951547,36989180,37630280,37816915,37844359,37958750,38262420,39440199,40355418,40619420,40683499,40803115,40813248,41044764,41126599,41316619,42104179,42294715,42334065,43821068,44083315,44248220,44387016,44904680,45156336,45380298,45550500,45573187,45914904,46193546,46581859,46855047,47061115,48076418,48456154,48587200,48743304,48909692,48963738,49283528,49935393,50086988,50517765,50629195,50753658,50800878,50861947,50946067,51654267,51975307,52794794,52899978,53001019,53097864,53789834,53885616,54063370,54660600,54836217,55315018,55443969,55449079,55497607,55970515,56473338,56702779,57189178,58086211,58127539,58304640,58848986,58859299,59735097,60115915,60122227,60250316,60621318,60755034,61493175,61712539,62191616,63422887,64876044,65402227,65464567,65592720,65990780,66004725,66129619,66430154,67164618,67287459,67346707,67530139,67926547,68383195,69037747,69267115,69551786,69856195,69883239,69965568,70251626,70268419,70405040,71253226,71552840,72139098,72590024,73791810,74201659,74467399,75150715,76091079,76554859,76842620,77793115,78129451,78416648,78627547,78711264,79188936,79205670,79212970,79235431,79893187,80496945,80814458,81003970,81065738,81360092,81565274,81604195,81663777,82059834,82770248,82996994,83120538,83512171,83559164,83827434,84069980,84084266,84486048,85863408,86071880,87902499,88160770,88218729,88550172,88628611,89087553,89092531,89119226,89345036,89998664,90180858,90691916,91474599,91508456,92211144,92380988,92956099,93000284,93029827,93116529,93351738,93520810,93635659,93870715,93875059,94900220,95046804,95055564,95617315,95834119,96436874,96555067,96596334,96830865,97204764,97925034,97997707,98041291,98080419,98234515,98936938,99095564,99257539,...,1154035187767056410258575109278675149479239143543813478276292552460671191297479058674806768354330144427090358708873628844123990276060084589491122253538306704284568866338068949475102288895779543900810641388205521886498456413974505370646538191309440352908057718873104869924033063813907336716556344269943931601579629468609382453126081413026188147599467537845337871325807714302382086689301293459397123159182244019104498369288558883865050486515715362560320158765027800267013805476992129288475182570308423820437532190573646138650945397628130379300557026522106186231983656852479681843315454565287690223948091412498749697669110512271243453539011805780585938811121739919418483928678159377465172971067726206448148581277507387858485215563714597153452833127093140897014799550822824114950073296381033084612566184778382058146535589013321423381250702995755368335943141730345748293185803085334092012497267558782261950508150183857475903811106525481639150431566326094014956691259915897537229086396716161989120064667672821587874151768632860991458068607328490440753405836609892687818861259843283489517568453809891574660462234558005499017900078677033626270356073191847339850213911562202656675571627221959447448461933737385239758383935162597829330802510326017083566333219385087334105031575778656917001086377023684669404330056070787205098959121607852843487200571252360580517792136859004662836393776940044583605492665167282556088035144323195159893166109636834587424194252605325551966449022666507200874984840869764320759812138719242805381884622658479907670496395461053123710113700925569068801305734880478063959133507986576078013591040464690523411572720831797008017865141742216525096253947891553469683063549680012078836159528520762279975936404942490911082058728182046494683220198504831050218794573222239966410212979130885860630118985533719779322163277845749384491108497983978662573616018062756832162040145514847486380909898845582701300777171719853579085347876427929604355947131390114259795298103054933568174238094872177799336516590373033220344673195057309828120685578441102157911738479487069148844699460314261042366421813499702449733864497272103142496049607652560936855150141964149253699905866296127726124658084351453836315443663701582832130072301225295927402420328397720504151440367421136072982855990004671358421538084244213899569210572314318139180339657488368375100184329170737764606603777428458909789435290927336698881644873121299396565061640420760698477207150066312260217785638579198323620427602290263719121354734496475668999342280138764157907532505027599757622475608493630330318726605586056247140338815053606438362847557421517919854923220234100387945700314451500870247153912520997575317548549942441768054737942547163435183273343570524265717266958416172467965755047414100893031447740466726920850141906635601749816192260272867041908384663396103369445341463111515203154657533225954345767773103213193584274244688410024509326762162364956720768123615323594946096901594423097431872127457960719804698788273129762014677937932959315827261356312281426887075814614122918011623711977098035962851571326620412695061223329371804844488865400651477025992010996437851486583453924495542607218892993823369794909412913426349470786722875269676364059594374973273172637346264895360615355827088868307852074971996390436765369067656012817142804111663721091564318850772511062253978263587394746533932794948167692462475279597354720324722885464724236546712065279094458729657397018443383565869109700766048380863228242574000723716508715590180515036206176899622535023906609613734973978145573138345029346939521991708423865499404930300910827901040579584508301733646500264878567629725537401427484359555636539764028559200537351076637548981057362236428614216002425577220837446810631099198961038297698242011783717487465719294097691082089958206962798606459121505766170245922503886801801392195500015503854884164117974031148922840628751852023448847313077531862138957619497447118728772288203457773049473716010348635594173005662627519531262966563936807292703781364479961634419630576006408621804029896495125811792305384118278409396619027389130830386419243508832910304957594618879282655389405689750882710208284956484723749227472087965031046380879061019231052858347488845823613314056541632235690086333948243828926846833197303278491896937857702675786328435953579380669478353807330872009127613022792985719595680250438879127079089648768594094098083929047912978834410325897285517690762609107334507037023816238727235299872505386096630666748014677482303086465630897138763778377463827738789413497963063457403857323680544186797650559039153169331060858066679796133857154495275902674033435588880742934417007161117196848194900217079659752220857814449924972553625065016879387364505612151325991316836226257430010343948159560024113665716607032353385396611005051544400317189852199693316799150719845253713588893839781766}
30390  923318772121611271673698125332992081489531626830850805002218803726778827663660172985103: {698441,1304921,2031641,2152649,2307892,2488454,2515481,2852054,2938421,3963929,4129912,4144661,4505909,4646151,5047241,5407769,5828021,6906869,7564889,7744181,8125492,8162249,8290191,8341301,8460629,8818421,8851396,8982712,9577012,9869275,9949529,10105551,10437304,11374169,11535254,11691295,11741967,11843130,12025589,12632672,12912329,13266521,13693094,13856201,14029554,14211756,14797624,15128774,15209429,15371572,15620441,16204022,16616981,16647327,16701850,17026649,17217784,17494361,17903189,18659715,18777929,19065014,19370007,19705396,19903696,19999541,20042220,20831762,21333449,21378368,21560822,21565001,22391658,22432181,22547669,23931029,24028852,24050664,24276149,24333641,25195061,25367129,25481801,26741081,26835855,27056997,27364984,27592694,27597461,27882521,27946214,28053461,28452041,28624912,29042079,29134409,29759660,30416822,30785607,30835289,31121414,31174601,31705144,31852361,32021621,32203026,32303561,32926495,33360772,33934022,34076596,34495829,35503541,35597031,35668287,35671241,35687222,35711592,36062261,36675929,37511189,38484854,38566601,38838639,39291595,39511794,39674441,39840341,40061429,40175541,40441155,41385269,41812024,42513800,42650391,42664022,42814229,43033589,43123087,43137232,43636169,43733944,43964441,44183129,44779396,44783861,44874339,45601481,45982421,46091189,46236475,46460631,46580249,47037850,47038527,47068661,47149914,47574712,47622532,47828025,47881241,48151167,48529386,48549014,48584021,49200687,49339349,49662581,49877909,50039321,50361929,50616134,50774275,51006281,51016560,51113561,51305955,51756569,52291529,52334774,52586932,53034927,53412341,53518901,53521551,53807224,54417664,54476501,54726352,54776335,55310275,55483770,55484489,56130850,56225369,56436761,56445420,56700821,56859161,56938125,57393630,57469094,57807689,58911029,58963481,59182688,59696969,59749301,60208448,60507064,60533127,60734000,60929130,61002869,61137115,61219872,61471769,61553222,61567146,61604410,62199881,62231894,62473396,62608735,63030089,63516271,63754841,63926054,64116629,64426421,64839029,64991072,65284984,65456981,65611289,65731602,66372330,66433049,66580524,66894389,66996821,67357020,67671544,67734504,67764041,68070447,68121461,68325750,68376521,68614567,68872356,68986934,69038741,69290319,69323174,70533304,70713689,70797152,70814921,71847488,72027209,72114627,72423967,72681941,72684231,72880800,73114956,73346822,73364538,73435721,73445607,73686581,73925292,74487989,74588021,74738009,75130482,75297784,75312895,76130487,76201317,77739520,78513689,78748831,78760469,79011494,79192191,79343414,79349967,79646796,79794761,79942229,80069899,80684751,80828424,81006712,81021461,81095055,81266201,81662822,81990900,82452799,82488475,82654694,82730441,82972527,83315222,83654069,84710007,84816629,85058249,85492661,85783767,85951574,86501392,87186931,87456960,88006300,88273479,89373209,89441050,89552824,89706101,89716612,89943641,90086069,90133529,90375474,90512921,90543014,90737530,90797129,90931977,91128341,91132551,92813119,93177652,93248201,93287424,93388949,94091609,94130774,94372169,94745801,94792469,95072309,95444981,96053275,96185464,96606281,96745301,97161929,97314066,97808729,98020810,98131541,98223701,98389080,98546009,98684021,98959829,98986170,99645231,...,1731052781650584615387862663918012724218858715315720217414438828691006786946218588012210152531495216640635538063310443266185985414090126884236683380307460056426853299507103424212653433343669315851215962082308282829747684620961758055969807286964160529362086578309657304886049595720861005074834516404915897402369444202914073679689122119539282221399201306768006806988711571453573130033951940189095684738773366028656747553932838325797575729773573043840480238147541700400520708215488193932712773855462635730656298285860469207976418096442195568950835539783159279347975485278719522764973181847931535335922137118748124546503665768406865180308517708670878908216682609879127725893017239066197759456601589309672222871916261081787727823345571895730179249690639711345522199326234236172425109944571549626918849277167573087219803383519982135071876054493633052503914712595518622439778704628001138018745901338173392925762225275786213855716659788222458725647349489141022435036889873846305843629595074242983680097001509232381811227652949291487187102910992735661130108754914839031728291889764925234276352680714837361990693351837008248526850118015550439405534109787771009775320867343303985013357440832939171172692900606077859637575902743896743996203765489025625349499829077631001157547363667985375501629565535527004106495084106180807648438682411779265230800856878540870776688205288506994254590665410066875408238997750923834132052716484792739839749164455251881136291378907988327949673533999760801312477261304646481139718208078864208072826933987719861505744593191579685565170551388353603201958602320717095938700261979864117020386560697035785117359081247695512026797712613324787644380921837330204524595324520018118254239292781143419963904607413736366623088092273069742024830297757246575328191859833359949615319468696328790945178478300579668983244916768624076736662746975967993860424027094135248243060218272271229571364848268374051951165757579780368628021814641894406533920697085171389692947154582400352261357142308266699004774885559549830517009792585964742181028367661653236867607719230603723267049190471391563549632720249553674600796745908154713744074411478841405282725212946223880549858799444191589186987126527180754473165495552374248195108451837943891103630492596580756227160551131704109474283985007007037632307126366320849353815858471477208770509486232552562650276493756106646909905666142688364684152936391005048322467309681949094847592460631141047715810725099468390326678457868797485430641403435395578682032101744713503499013420208146236861298757541399636433713412740445495478089908379084370710508222580409657544271336132276879782384830351150581918550471677251305370730868781496362976322824913662652082106913820745152774910015355786398575900437624258701948632571121151339547171610700090381275212859953402624724288390409300562862576995094155054168012194667272804731986299838931518651659654819790376411367032615036763990143243547435081152185422985392419145352391634646147808191186941079707048182409694643022016906899438973740892034468422140330613721921184377017435567965647053944277356989930619042591834994057707266733298100977215538988016494656777229875180886743313910828339490735054692364119370139524206180084312904514546089391562459909758956019397343040923033740633302461778112457994585655148053601484019225714206167495581637346478276158766593380967395381092119800899192422251538693712919396032080487084328197086354820068097918641688094486095527665075348803664551149072571294842363861001085574763073385270772554309265349433802535859914420602460967218359707517544020409282987562635798249107395451366241851560869376762452600469750397317851444588306102141226539333454809646042838800806026614956323471586043354642921324003638365831256170215946648798441557446547363017675576231198578941146536623134937310444197909688682258649255368883755830202702088293250023255782326246176961046723384260943127778035173270969616297793208436429246170678093158432305186659574210574015522953391259508493941279296894449845905210939055672046719942451629445864009612932706044844742688717688458076177417614094928541083696245579628865263249365457436391928318923983084108534626324065312427434727085623841208131947546569571318591528846579287521233268735419971084812448353535129500922365743390270249795954917737845406786554013679492653930369071004217530710996308013691419534189478579393520375658318690618634473152891141147125893571869468251615488845928276536143913661001760555535724358090852949808758079144946000122022016223454629698446345708145667566195741608184120246944595186105785985520816280196475838558729753996591287100019694200785731742913854011050153383321114401625510741675795272292350325619489628331286721674887458830437597525319081046758418226988986975254339386145015515922239340036170498574910548530078094916507577316600475784778299539975198726079767880570383340759672649}
30391  926170007486959551618456061472164743342034812937851293795124186603550203197398418297891: {30391,60778,2884865,3461838,3613673,3732681,4278081,4342481,5162390,6194868,7348814,7859873,9132641,10156865,11053588,11064245,11228390,11971265,12188238,12229841,12947921,13046630,13277094,13474068,14365518,14594021,15065561,15655956,15790840,17302881,17415734,17764695,17870849,18497030,18706072,18949008,19214465,20344049,20539641,20696654,21044331,21317634,21522230,22196436,22340681,22693161,22881638,23057358,23254673,23944361,24306033,24336521,24631745,24697574,24879620,25046798,25052775,25826676,26523278,26722960,27742001,27973361,28597521,29558094,29855544,30036065,30063330,30531233,31247643,31434581,31979414,32067552,32341233,33435782,33587487,33980873,34206230,34519673,34780481,35781140,36043278,36075996,36294929,36585521,37199575,37745078,37807793,38267201,38535449,38722772,39354062,39631430,41047476,41389041,41627873,41700965,41785094,41919321,42106961,42263441,42520721,42595745,42891173,42937368,44166041,44639490,45469793,45625233,45984821,46238489,46682121,47081321,47339534,47462708,47557716,47615456,47885558,48304539,49794401,50041158,50901033,51114894,51784852,52195121,52265030,52682392,52703873,52943681,53004521,53142250,53431241,53530833,53567388,53859221,53921540,54156878,54634838,54667430,55974245,56867188,57124361,57727281,58090049,59212601,59236433,59267691,59468390,59528165,59832452,59978894,60807878,61716641,61947508,62718036,62866552,62918561,63770700,63996033,64087001,64201556,64705848,64966073,65073158,65372294,65549678,65588081,65600916,65733665,65885561,66066209,67169094,67259030,67534601,68022080,68371301,68407940,70022249,70556775,70713236,70724871,70880873,71053541,71257934,71362068,71433798,72098582,72585062,72794079,72823521,73903094,73978360,74954321,75260560,75269849,75633830,75688718,75859313,75917500,75924201,76524840,77293541,77582441,78091745,78358721,78502161,78880398,79898489,80710836,81238840,81366998,81606230,81626496,82089528,82253198,82633238,83225655,83517689,83714681,84162281,84196275,84208358,84589430,84668130,85561313,86090445,86203641,87642136,88166630,88333961,88496440,88774032,89754929,89809360,90312672,90383633,90760596,91101000,91146374,91393695,91723841,91829808,92329833,92350719,92387092,92406615,92962241,93163718,93347841,93641873,93691961,93710094,94122230,94419221,94740929,95629733,95736473,95889081,96152836,96912308,96973961,97174400,97486608,97798673,97819384,97927476,98047769,98567056,98597403,99023861,99558495,99870786,...,2308070375534112820517150218557350298958478287087626956552585104921342382594958117349613536708660288854180717417747257688247980552120169178982244507076613408569137732676137898950204577791559087801621282776411043772996912827949010741293076382618880705816115437746209739848066127627814673433112688539887863203159258937218764906252162826052376295198935075690675742651615428604764173378602586918794246318364488038208996738577117767730100973031430725120640317530055600534027610953984258576950365140616847640875064381147292277301890795256260758601114053044212372463967313704959363686630909130575380447896182824997499395338221024542486907078023611561171877622243479838836967857356318754930345942135452412896297162555014775716970431127429194306905666254186281794029599101645648229900146592762066169225132369556764116293071178026642846762501405991510736671886283460691496586371606170668184024994535117564523901016300367714951807622213050963278300863132652188029913382519831795074458172793432323978240129335345643175748303537265721982916137214656980881506811673219785375637722519686566979035136907619783149320924469116010998035800157354067252540712146383694679700427823124405313351143254443918894896923867474770479516767870325195658661605020652034167132666438770174668210063151557313834002172754047369338808660112141574410197918243215705686974401142504721161035584273718009325672787553880089167210985330334565112176070288646390319786332219273669174848388505210651103932898045333014401749969681739528641519624277438485610763769245316959815340992790922106247420227401851138137602611469760956127918267015973152156027182080929381046823145441663594016035730283484433050192507895783106939366127099360024157672319057041524559951872809884981822164117456364092989366440397009662100437589146444479932820425958261771721260237971067439558644326555691498768982216995967957325147232036125513664324080291029694972761819797691165402601554343439707158170695752855859208711894262780228519590596206109867136348476189744355598673033180746066440689346390114619656241371156882204315823476958974138297689398920628522084732843626999404899467728994544206284992099215305121873710300283928298507399811732592255452249316168702907672630887327403165664260144602450591854804840656795441008302880734842272145965711980009342716843076168488427799138421144628636278360679314976736750200368658341475529213207554856917819578870581854673397763289746242598793130123280841521396954414300132624520435571277158396647240855204580527438242709468992951337998684560277528315815065010055199515244951216987260660637453211172112494280677630107212876725695114843035839709846440468200775891400628903001740494307825041995150635097099884883536109475885094326870366546687141048531434533916832344935931510094828201786062895480933453841700283813271203499632384520545734083816769326792206738890682926223030406309315066451908691535546206426387168548489376820049018653524324729913441536247230647189892193803188846194863744254915921439609397576546259524029355875865918631654522712624562853774151629228245836023247423954196071925703142653240825390122446658743609688977730801302954051984021992875702973166907848991085214437785987646739589818825826852698941573445750539352728119188749946546345274692529790721230711654177736615704149943992780873530738135312025634285608223327442183128637701545022124507956527174789493067865589896335384924950559194709440649445770929448473093424130558188917459314794036886767131738219401532096761726456485148001447433017431180361030072412353799245070047813219227469947956291146276690058693879043983416847730998809860601821655802081159169016603467293000529757135259451074802854968719111273079528057118401074702153275097962114724472857228432004851154441674893621262198397922076595396484023567434974931438588195382164179916413925597212918243011532340491845007773603602784391000031007709768328235948062297845681257503704046897694626155063724277915238994894237457544576406915546098947432020697271188346011325255039062525933127873614585407562728959923268839261152012817243608059792990251623584610768236556818793238054778261660772838487017665820609915189237758565310778811379501765420416569912969447498454944175930062092761758122038462105716694977691647226628113083264471380172667896487657853693666394606556983793875715405351572656871907158761338956707614661744018255226045585971439191360500877758254158179297537188188196167858095825957668820651794571035381525218214669014074047632477454470599745010772193261333496029354964606172931261794277527556754927655477578826995926126914807714647361088373595301118078306338662121716133359592267714308990551805348066871177761485868834014322234393696389800434159319504441715628899849945107250130033758774729011224302651982633672452514860020687896319120048227331433214064706770793222010103088800634379704399386633598301439690507427177787679563532}
30392  929029996543046385484307632384323330687815839917434117268728609828027269203535511569771: {91167,1396882,2213287,2394727,2609842,4063282,4205167,4305298,4566391,4615784,4976908,5030962,5192757,5468191,5704108,5876842,6368191,6727687,7743585,7927858,8259824,8289322,8520847,9011818,9292302,10094482,10815538,11023221,11374927,11656042,12263047,12972247,13813738,13816985,15129778,15488362,16149391,16250984,16324498,16367813,16580382,16682602,16842585,16921258,17636842,17702792,17965424,18282357,18779191,19154024,19569945,19738550,19899058,19915641,20211102,20874608,21045247,21548277,22260391,22748338,23070508,23382590,23483934,23686260,23990191,24051178,24335287,25265344,25824658,26123601,26533042,27085687,27386188,27712402,27745545,28059108,28423512,29136391,29595248,29647447,30257548,30418858,30743144,31044981,31099525,31240882,31976451,32283345,32408044,32869087,33233962,33294654,33403700,34053298,34217791,34322457,34435568,34586037,34988722,35058391,35394127,35806378,37046361,37319430,37555858,37569391,37570197,38130028,38740014,39410792,39784917,39807392,39999082,40084440,41663524,42213247,42542791,42666898,42756736,42872047,43121644,43130002,44337141,44677807,44726425,44783316,44864362,45094995,45095338,45495727,46097093,46637791,47776327,47862058,47938687,47969121,48057704,48101328,48403465,48552298,48667282,49396687,50153673,50390122,50734258,50963602,51170767,51309345,51492391,53482162,53575927,53671710,54064917,54113994,54729968,55008233,55185388,55194922,55765042,55892428,56106922,56617617,56757607,56904082,57249824,58084158,58268818,58967647,59031093,59328385,59447145,59519320,59753527,60833644,61571214,61670578,62242828,62349202,62677641,63410288,63704722,63811087,64043242,64121191,64406052,64431007,64607122,64731065,64895191,65667391,65852990,66721544,66959235,67401925,67868044,68153192,68991658,69043687,71007082,71009301,71083985,71194062,71336574,71342482,71374444,71423184,71828337,72082807,72124522,73351858,73742047,74790565,75022378,75061737,75242887,76672341,76686869,76969708,77133202,77434385,77677278,78397545,78519391,78583190,79023588,79348882,79680682,79713375,80122858,80251945,80351082,80882310,81235317,81952257,82001145,82770538,83624048,84455701,84822847,85027600,85112791,85300782,85328044,85509925,85591961,85628458,86067178,86246174,86274464,86558191,87272338,87467888,87652229,87928882,88366258,88391545,89202585,89427391,89558792,89567722,89748678,89855287,89968341,90140191,90851191,91202962,91211817,91964842,92182378,92472950,92550247,92921262,93160498,94075700,94077054,94098607,94137322,94299828,94379191,94799527,94896875,95149424,95245064,95498647,95656050,95762482,95777791,96302334,96473113,97058772,97098028,97168042,97444217,97609737,98058441,98324517,98401374,98553391,98678698,98967247,99325162,99755818,...,3462105563301169230775725327836025448437717430631440434828877657382013573892437176024420305062990433281271076126620886532371970828180253768473366760614920112853706599014206848425306866687338631702431924164616565659495369241923516111939614573928321058724173156619314609772099191441722010149669032809831794804738888405828147359378244239078564442798402613536013613977423142907146260067903880378191369477546732057313495107865676651595151459547146087680960476295083400801041416430976387865425547710925271461312596571720938415952836192884391137901671079566318558695950970557439045529946363695863070671844274237496249093007331536813730360617035417341757816433365219758255451786034478132395518913203178619344445743832522163575455646691143791460358499381279422691044398652468472344850219889143099253837698554335146174439606767039964270143752108987266105007829425191037244879557409256002276037491802676346785851524450551572427711433319576444917451294698978282044870073779747692611687259190148485967360194003018464763622455305898582974374205821985471322260217509829678063456583779529850468552705361429674723981386703674016497053700236031100878811068219575542019550641734686607970026714881665878342345385801212155719275151805487793487992407530978051250698999658155262002315094727335970751003259131071054008212990168212361615296877364823558530461601713757081741553376410577013988509181330820133750816477995501847668264105432969585479679498328910503762272582757815976655899347067999521602624954522609292962279436416157728416145653867975439723011489186383159371130341102776707206403917204641434191877400523959728234040773121394071570234718162495391024053595425226649575288761843674660409049190649040036236508478585562286839927809214827472733246176184546139484049660595514493150656383719666719899230638937392657581890356956601159337966489833537248153473325493951935987720848054188270496486120436544542459142729696536748103902331515159560737256043629283788813067841394170342779385894309164800704522714284616533398009549771119099661034019585171929484362056735323306473735215438461207446534098380942783127099265440499107349201593491816309427488148822957682810565450425892447761099717598888383178373974253054361508946330991104748496390216903675887782207260985193161512454321102263408218948567970014014075264614252732641698707631716942954417541018972465105125300552987512213293819811332285376729368305872782010096644934619363898189695184921262282095431621450198936780653356915737594970861282806870791157364064203489427006998026840416292473722597515082799272867426825480890990956179816758168741421016445160819315088542672264553759564769660702301163837100943354502610741461737562992725952645649827325304164213827641490305549820030711572797151800875248517403897265142242302679094343221400180762550425719906805249448576780818601125725153990188310108336024389334545609463972599677863037303319309639580752822734065230073527980286487094870162304370845970784838290704783269292295616382373882159414096364819389286044033813798877947481784068936844280661227443842368754034871135931294107888554713979861238085183669988115414533466596201954431077976032989313554459750361773486627821656678981470109384728238740279048412360168625809029092178783124919819517912038794686081846067481266604923556224915989171310296107202968038451428412334991163274692956552317533186761934790762184239601798384844503077387425838792064160974168656394172709640136195837283376188972191055330150697607329102298145142589684727722002171149526146770541545108618530698867605071719828841204921934436719415035088040818565975125271596498214790902732483703121738753524905200939500794635702889176612204282453078666909619292085677601612053229912646943172086709285842648007276731662512340431893297596883114893094726035351152462397157882293073246269874620888395819377364517298510737767511660405404176586500046511564652492353922093446768521886255556070346541939232595586416872858492341356186316864610373319148421148031045906782519016987882558593788899691810421878111344093439884903258891728019225865412089689485377435376916152354835228189857082167392491159257730526498730914872783856637847966168217069252648130624854869454171247682416263895093139142637183057693158575042466537470839942169624896707070259001844731486780540499591909835475690813573108027358985307860738142008435061421992616027382839068378957158787040751316637381237268946305782282294251787143738936503230977691856553072287827322003521111071448716181705899617516158289892000244044032446909259396892691416291335132391483216368240493889190372211571971041632560392951677117459507993182574200039388401571463485827708022100306766642228803251021483351590544584700651238979256662573443349774917660875195050638162093516836453977973950508678772290031031844478680072340997149821097060156189833015154633200951569556599079950397452159535761140766681519345298}
30393  931898766009107446436261294182212896186187311197037217193843848984526652212903897083594: {60782,121556,2095323,3914763,4038811,5132023,5769730,6094923,6221135,6457947,6923676,7130135,7227346,7465362,7546443,8556162,8684962,8815263,10324780,11891787,12389736,12433983,13517727,13683791,13938453,14219611,14697628,14961071,15141723,15489943,15719746,16053563,16223307,16759771,17484063,18265282,19679627,20237447,20313730,20720607,22107176,22128490,22456780,22694667,23232543,23942530,24042967,24376476,24459682,24486747,24870573,25023903,25381887,25895842,26093260,26402623,26455263,26554188,26900251,26948136,27321023,28731036,28761343,28838135,29188042,29607825,29656847,29848587,30131122,30316653,31311912,31581680,32779163,34122507,34232735,34484443,34605762,34831468,35073885,35132767,35225901,35529390,35741698,36054047,36076767,36994060,37412144,37624367,37821935,37898016,38428930,38580811,38736987,39799563,40415227,40510055,40688098,41079282,41393308,41506711,41568603,41754625,42050491,42088662,42635268,42743423,42894007,43044460,44392872,44681362,45386322,45628287,45763276,46114716,46509346,46861323,47662535,47888722,48227983,48612066,48673042,49263490,49395148,49759240,49850943,49941981,49947703,50093596,50105550,51079947,51653352,52079405,52483083,53046556,53445920,53709567,53902055,54645487,55059311,55484002,55946722,55979145,56037643,56333787,57195042,58110021,58381351,59116188,59240347,59469707,59634043,59711088,59998623,60072130,60126660,61062466,61685143,62373287,62495286,62869162,63958828,64000347,64135104,64682466,64695003,66871564,67174974,67296543,67643007,67961746,68412460,68981735,69039346,69560962,69865535,70314887,71562280,71793087,72086556,72151992,72589858,72828447,73000923,73171042,73278767,74399150,75459863,75490156,75585183,75615586,75739183,76042055,76101387,76445403,76534402,77070898,77445544,77803535,78078247,78363943,78708124,79262860,80223243,80507565,81170991,82094952,82753567,82778082,82792383,83255746,83339431,83401930,83570188,83647563,83838642,84160383,84213922,84526882,84835055,85041442,85191490,85356123,85782346,85874736,86709787,87126237,87134267,87403227,88332082,88827023,89104367,89218055,89278980,90939586,91250466,91889471,91969642,92027131,92356821,92476978,92505867,93364242,93523803,93563467,94162642,94425487,94679068,94925416,95115432,95230912,95557083,95771116,96064863,96212135,96609078,96616987,96910683,96976847,98779485,99588802,...,5193158344951753846163587991754038172656576145947160652243316486073020360838655764036630457594485649921906614189931329798557956242270380652710050140922380169280559898521310272637960300031007947553647886246924848489243053862885274167909421860892481588086259734928971914658148787162583015224503549214747692207108332608742221039067366358617846664197603920304020420966134714360719390101855820567287054216320098085970242661798514977392727189320719131521440714442625101201562124646464581798138321566387907191968894857581407623929254289326586706852506619349477838043926455836158568294919545543794606007766411356244373639510997305220595540925553126012636724650047829637383177679051717198593278369804767929016668615748783245363183470036715687190537749071919134036566597978702708517275329833714648880756547831502719261659410150559946405215628163480899157511744137786555867319336113884003414056237704014520178777286675827358641567149979364667376176942048467423067305110669621538917530888785222728951040291004527697145433682958847874461561308732978206983390326264744517095184875669294775702829058042144512085972080055511024745580550354046651318216602329363313029325962602029911955040072322498817513518078701818233578912727708231690231988611296467076876048499487232893003472642091003956126504888696606581012319485252318542422945316047235337795692402570635622612330064615865520982763771996230200626224716993252771502396158149454378219519247493365755643408874136723964983849020601999282403937431783913939443419154624236592624218480801963159584517233779574739056695511654165060809605875806962151287816100785939592351061159682091107355352077243743086536080393137839974362933142765511990613573785973560054354762717878343430259891713822241209099869264276819209226074490893271739725984575579500079848845958406088986372835535434901739006949734750305872230209988240927903981581272081282405744729180654816813688714094544805122155853497272739341105884065443925683219601762091255514169078841463747201056784071426924800097014324656678649491551029377757894226543085102984959710602823157691811169801147571414174690648898160748661023802390237724464141232223234436524215848175638838671641649576398332574767560961379581542263419496486657122744585325355513831673310891477789742268681481653395112328422851955021021112896921379098962548061447575414431626311528458697657687950829481268319940729716998428065094052458809173015144967401929045847284542777381893423143147432175298405170980035373606392456291924210306186736046096305234140510497040260624438710583896272624198909301140238221336486434269725137253112131524667741228972632814008396830639347154491053451745755651415031753916112192606344489088928968474740987956246320741462235458324730046067359195727701312872776105845897713363454018641514832100271143825638579860207874172865171227901688587730985282465162504036584001818414195958899516794555954978964459371129234101097845110291970429730642305243456556268956177257436057174903938443424573560823239121144547229083929066050720698316921222676103405266420991841165763553131052306703896941161832832070969791857127775504982173121800199894302931646616964049483970331689625542660229941732485018472205164077092358110418572618540252938713543638268174687379729276868058192029122769101221899907385334337373983756965444160804452057677142618502486744912039434828476299780142902186143276359402697577266754616081138758188096241461252984591259064460204293755925064283458286582995226046410993653447217713884527091583003256724289220155812317662927796048301407607579743261807382901655079122552632061227848962687907394747322186354098725554682608130287357801409251191953554333764918306423679618000364428938128516402418079844868970414758130063928763972010915097493768510647839946395324672339642089053026728693595736823439609869404811931332593729066046775947766106651267490608106264879750069767346978738530883140170152782829383334105519812908848893379625309287738512034279475296915559978722631722046568860173778525481823837890683349537715632817167016140159827354888337592028838798118134534228066153065374228532252842284785623251088736738886595789748096372309175784956771949252325603878972195937282304181256871523624395842639708713955774586539737862563699806206259913254437345060605388502767097230170810749387864753213536220359662041038477961791107213012652592132988924041074258602568435738180561126974956071855903419458673423441377680715608404754846466537784829608431740983005281666607173074272558849426274237434838000366066048670363889095339037124437002698587224824552360740833785558317357956562448840589427515676189261989773861300059082602357195228741562033150460149963343204876532225027385816877050976858468884993860165024662376491312792575957243140275254680966960925763018158435046547766718020108511495724731645590234284749522731949801427354334898619925596178239303641711150022279017947}
30394  934776342685461370289767303943950898054286108550986223262479281766066891756859629101390: {91173,151945,182334,1426309,1608073,2152933,2793764,3059593,4426574,4789454,5219684,5768773,5948809,7027513,7745209,8126564,8410334,8461753,8610596,8654595,9132782,9231568,9953816,10061924,10385514,10426309,10841019,10936382,11198043,11408216,11494213,11753684,12736382,12834243,12905975,13027443,13455374,13975909,15487170,15563833,15855716,16519648,16578644,16619209,17041694,18023636,18372035,18584604,19071673,19343779,19420873,20118409,20188964,21631076,22046442,22550713,22749854,23312084,23579619,24279433,24451909,24526094,25313209,25485253,25944494,26859013,27397923,27627476,27633970,27715273,28070975,28569733,28911013,30259556,30273253,30470595,30976724,31122313,31969573,32138809,32298782,32501968,32616575,32648996,32735626,33160764,33192735,33365204,33658693,33685170,33842516,33995653,34668709,34836793,35273684,35405584,35913795,35930848,36564714,36689523,37558382,38308048,38843763,39139890,39477100,39513913,39679909,39798116,39831282,39845833,40422204,41501113,41749216,42090494,43096554,43149193,43539335,43782063,43970533,44520782,45196683,45496676,46097593,46141016,46242575,46765180,46967868,47372520,47980382,48102356,48670574,48698809,49669513,50530688,51120709,51649316,51741635,51908643,52084933,52247202,52726309,53066084,53294085,53526409,53612547,53805575,54165193,54171374,54772376,54962053,55424804,55491090,56118216,56847024,57204095,57643395,58272782,59076709,59190496,59294894,59705413,60515096,60837716,61032147,61486288,61618923,61743935,62089962,62199050,62364553,62481764,62616995,63132993,63142693,63952902,64538809,64566690,64816088,65738174,66308195,66467924,66589308,66807400,67006393,67022043,67467013,67764851,68079483,68106596,68233273,68386309,68435582,68644914,68871136,69150409,69172074,69764019,69977444,70116782,70788254,70825093,71612756,71833083,72037573,72793033,72918099,73009563,73697209,73895235,74092722,74598793,74638860,75111716,75138782,75140394,75158325,75796873,76260056,76692409,77480028,78327493,78821584,79569834,79614784,79948535,79998164,80168880,81131209,81278053,83059739,83226003,83327048,83589455,83920083,84426494,85085582,85333796,85513472,85515575,85744094,85792563,86243288,86260004,87092773,88241893,88674282,89355614,89452850,89566632,89728724,90108195,90189990,90190676,90623491,90991454,91593699,91944709,92086153,92194186,93275582,93355909,93742929,93918373,94303743,94362695,94899913,95552654,95724116,95877374,95938242,96017353,96115408,96202656,96295993,96806930,96852409,97023699,97104596,97334564,98100133,98238409,98385155,98790793,98793374,99078575,99517579,99811283,...,6924211126602338461551450655672050896875434861262880869657755314764027147784874352048840610125980866562542152253241773064743941656360507536946733521229840225707413198028413696850613733374677263404863848329233131318990738483847032223879229147856642117448346313238629219544198382883444020299338065619663589609477776811656294718756488478157128885596805227072027227954846285814292520135807760756382738955093464114626990215731353303190302919094292175361920952590166801602082832861952775730851095421850542922625193143441876831905672385768782275803342159132637117391901941114878091059892727391726141343688548474992498186014663073627460721234070834683515632866730439516510903572068956264791037826406357238688891487665044327150911293382287582920716998762558845382088797304936944689700439778286198507675397108670292348879213534079928540287504217974532210015658850382074489759114818512004552074983605352693571703048901103144855422866639152889834902589397956564089740147559495385223374518380296971934720388006036929527244910611797165948748411643970942644520435019659356126913167559059700937105410722859349447962773407348032994107400472062201757622136439151084039101283469373215940053429763331756684690771602424311438550303610975586975984815061956102501397999316310524004630189454671941502006518262142108016425980336424723230593754729647117060923203427514163483106752821154027977018362661640267501632955991003695336528210865939170959358996657821007524545165515631953311798694135999043205249909045218585924558872832315456832291307735950879446022978372766318742260682205553414412807834409282868383754801047919456468081546242788143140469436324990782048107190850453299150577523687349320818098381298080072473016957171124573679855618429654945466492352369092278968099321191028986301312767439333439798461277874785315163780713913202318675932979667074496306946650987903871975441696108376540992972240873089084918285459393073496207804663030319121474512087258567577626135682788340685558771788618329601409045428569233066796019099542238199322068039170343858968724113470646612947470430876922414893068196761885566254198530880998214698403186983632618854976297645915365621130900851784895522199435197776766356747948506108723017892661982209496992780433807351775564414521970386323024908642204526816437897135940028028150529228505465283397415263433885908835082037944930210250601105975024426587639622664570753458736611745564020193289869238727796379390369842524564190863242900397873561306713831475189941722565613741582314728128406978854013996053680832584947445195030165598545734853650961781981912359633516337482842032890321638630177085344529107519129539321404602327674201886709005221482923475125985451905291299654650608328427655282980611099640061423145594303601750497034807794530284484605358188686442800361525100851439813610498897153561637202251450307980376620216672048778669091218927945199355726074606638619279161505645468130460147055960572974189740324608741691941569676581409566538584591232764747764318828192729638778572088067627597755894963568137873688561322454887684737508069742271862588215777109427959722476170367339976230829066933192403908862155952065978627108919500723546973255643313357962940218769456477480558096824720337251618058184357566249839639035824077589372163692134962533209847112449831978342620592214405936076902856824669982326549385913104635066373523869581524368479203596769689006154774851677584128321948337312788345419280272391674566752377944382110660301395214658204596290285179369455444004342299052293541083090217237061397735210143439657682409843868873438830070176081637131950250543192996429581805464967406243477507049810401879001589271405778353224408564906157333819238584171355203224106459825293886344173418571685296014553463325024680863786595193766229786189452070702304924794315764586146492539749241776791638754729034597021475535023320810808353173000093023129304984707844186893537043772511112140693083878465191172833745716984682712372633729220746638296842296062091813565038033975765117187577799383620843756222688186879769806517783456038451730824179378970754870753832304709670456379714164334784982318515461052997461829745567713275695932336434138505296261249709738908342495364832527790186278285274366115386317150084933074941679884339249793414140518003689462973561080999183819670951381627146216054717970615721476284016870122843985232054765678136757914317574081502633274762474537892611564564588503574287477873006461955383713106144575654644007042222142897432363411799235032316579784000488088064893818518793785382832582670264782966432736480987778380744423143942083265120785903354234919015986365148400078776803142926971655416044200613533284457606502042966703181089169401302477958513325146886699549835321750390101276324187033672907955947901017357544580062063688957360144681994299642194120312379666030309266401903139113198159900794904319071522281533363038690596}
30395  937662753453754383446238399917155735654334038811418146899229196219522048298813819890183: {121564,243112,273501,3492205,4190646,5678629,6524605,6639861,7184181,7829526,8077622,8709589,9982189,10158205,10264046,10763245,11539460,12189846,12351229,12442270,12577405,12615501,12915894,13699173,13847352,14260270,14351293,14454692,14692105,14930724,15092886,15578271,15992869,16171753,16404573,16721197,17112324,17369924,17630526,19084489,19104573,19819645,20183061,20346733,20649560,20723305,21633133,22529545,23230755,23257741,23674453,23783574,24779472,24867966,25236205,25562541,27035454,27038845,27367582,27876906,28439222,29140105,29395256,29922142,30283446,30409957,30535261,30979886,31439492,32107126,32446614,33069663,33519542,34124781,34534345,34968126,35049001,36530564,36580549,36789141,36958861,37626853,37812781,37824445,38540533,38720905,38916741,39359254,40373389,40474894,40627460,40811245,41134741,41324797,41441214,41450955,41706505,42303145,43594573,44092105,44214352,44256980,44465161,44913560,45389334,46465086,46591081,47772061,47885060,47925829,48085934,48448173,48752952,48919364,48973494,49103439,49346375,49741146,49747645,50047806,50527755,50763774,50956153,51791684,51855277,52186520,52805246,52910526,52950709,53108376,53800502,53896272,54642046,54847071,55042381,55062949,56088457,56337573,56714077,56870845,57462072,57491533,57522686,57676270,58376084,58401589,58456475,58709835,59215650,59313694,59697174,59746923,60127945,60134173,60262244,60633306,61536877,62623824,63135741,63163360,64130281,64561645,64644831,65415229,65558326,66332605,66674893,66727549,66781173,68245014,68465470,68968886,69211524,69281005,69662936,70147770,70265534,70282381,70319533,70431289,70451802,71058780,71483396,71707261,71970573,72108094,72153534,72911167,73005861,73984933,73988120,74824288,75248734,75462877,75643870,75762793,75796032,76047145,76853341,76857860,77161622,77473974,78102205,78370803,78643141,79599126,80830454,81020110,81257061,81376196,82158564,82786616,83013422,83084905,83137206,83197213,83236635,83509250,84100982,84177324,85133245,85146697,85270536,85486846,85769029,85788014,86088920,87409173,87471805,88785744,88942341,89362724,89515945,89766853,90772644,91116133,91256574,91526552,92229432,92916169,93018692,93048373,93134943,93298575,93722646,93889645,93893677,95325070,95777444,95929353,96455966,96574429,96850035,96983293,97224132,97346084,97811749,98017189,98526980,98607261,98790296,99139081,99277261,99518480,99675817,99701886,99883962,99895406,99997705,...,10386316689903507692327175983508076345313152291894321304486632972146040721677311528073260915188971299843813228379862659597115912484540761305420100281844760338561119797042620545275920600062015895107295772493849696978486107725770548335818843721784963176172519469857943829316297574325166030449007098429495384414216665217484442078134732717235693328395207840608040841932269428721438780203711641134574108432640196171940485323597029954785454378641438263042881428885250202403124249292929163596276643132775814383937789715162815247858508578653173413705013238698955676087852911672317136589839091087589212015532822712488747279021994610441191081851106252025273449300095659274766355358103434397186556739609535858033337231497566490726366940073431374381075498143838268073133195957405417034550659667429297761513095663005438523318820301119892810431256326961798315023488275573111734638672227768006828112475408029040357554573351654717283134299958729334752353884096934846134610221339243077835061777570445457902080582009055394290867365917695748923122617465956413966780652529489034190369751338589551405658116084289024171944160111022049491161100708093302636433204658726626058651925204059823910080144644997635027036157403636467157825455416463380463977222592934153752096998974465786006945284182007912253009777393213162024638970504637084845890632094470675591384805141271245224660129231731041965527543992460401252449433986505543004792316298908756439038494986731511286817748273447929967698041203998564807874863567827878886838309248473185248436961603926319169034467559149478113391023308330121619211751613924302575632201571879184702122319364182214710704154487486173072160786275679948725866285531023981227147571947120108709525435756686860519783427644482418199738528553638418452148981786543479451969151159000159697691916812177972745671070869803478013899469500611744460419976481855807963162544162564811489458361309633627377428189089610244311706994545478682211768130887851366439203524182511028338157682927494402113568142853849600194028649313357298983102058755515788453086170205969919421205646315383622339602295142828349381297796321497322047604780475448928282464446468873048431696351277677343283299152796665149535121922759163084526838992973314245489170650711027663346621782955579484537362963306790224656845703910042042225793842758197925096122895150828863252623056917395315375901658962536639881459433996856130188104917618346030289934803858091694569085554763786846286294864350596810341960070747212784912583848420612373472092192610468281020994080521248877421167792545248397818602280476442672972868539450274506224263049335482457945265628016793661278694308982106903491511302830063507832224385212688978177857936949481975912492641482924470916649460092134718391455402625745552211691795426726908037283029664200542287651277159720415748345730342455803377175461970564930325008073168003636828391917799033589111909957928918742258468202195690220583940859461284610486913112537912354514872114349807876886849147121646478242289094458167858132101441396633842445352206810532841983682331527106262104613407793882323665664141939583714255551009964346243600399788605863293233928098967940663379251085320459883464970036944410328154184716220837145237080505877427087276536349374759458553736116384058245538202443799814770668674747967513930888321608904115354285237004973489824078869656952599560285804372286552718805395154533509232162277516376192482922505969182518128920408587511850128566916573165990452092821987306894435427769054183166006513448578440311624635325855592096602815215159486523614765803310158245105264122455697925375814789494644372708197451109365216260574715602818502383907108667529836612847359236000728857876257032804836159689737940829516260127857527944021830194987537021295679892790649344679284178106053457387191473646879219738809623862665187458132093551895532213302534981216212529759500139534693957477061766280340305565658766668211039625817697786759250618575477024068558950593831119957445263444093137720347557050963647675781366699075431265634334032280319654709776675184057677596236269068456132306130748457064505684569571246502177473477773191579496192744618351569913543898504651207757944391874564608362513743047248791685279417427911549173079475725127399612412519826508874690121210777005534194460341621498775729506427072440719324082076955923582214426025305184265977848082148517205136871476361122253949912143711806838917346846882755361431216809509692933075569659216863481966010563333214346148545117698852548474869676000732132097340727778190678074248874005397174449649104721481667571116634715913124897681178855031352378523979547722600118165204714390457483124066300920299926686409753064450054771633754101953716937769987720330049324752982625585151914486280550509361933921851526036316870093095533436040217022991449463291180468569499045463899602854708669797239851192356478607283422300044558035894}
30396  940558025277205664584362963786433551895581255717788209950262693495543988929177695659895: {151955,182346,212723,303890,364668,880643,2213579,2515979,2697323,2852618,3120179,3216146,3844163,4145483,4305866,5228579,5587528,5829179,6009203,6119186,6285969,6848363,7745723,7924979,8342963,8521979,8820179,8853148,9237323,9578908,10129883,10439368,10486403,11020643,11494979,11537546,11744289,11897618,12116433,13446203,14055026,14330243,14424325,15396069,15490418,15623579,16253128,16795979,16820668,16923506,17205563,17221192,17309190,17673179,18068365,18081923,18265564,18284769,18463136,18663405,19131179,19373841,19907632,20003579,20123848,20771028,20852618,21390405,21569363,21682038,21712405,21742979,21872764,22396086,22639329,22816432,22988426,23507368,23590403,23935883,24338579,24453563,24511043,25372283,25472764,25668486,25720849,25811950,26054886,26445789,26910748,27951818,28059179,28457843,29310803,29651483,29764979,30331979,30785003,30974340,31127666,31180979,31350563,31711432,32028179,32479283,33039296,33157288,33238418,33717179,34083388,34671083,35510843,35675361,35678579,35846243,36047272,36404603,36683483,36744070,37169208,37301949,38143346,38352563,38687558,38841746,39299365,39848579,40236818,40377928,40553181,41051373,41815359,41889203,42658833,42987683,43262152,44092884,44793179,44883213,44956883,45101426,45425169,45499708,45502043,45610979,45663205,46263923,46469829,46624168,47078483,47159238,47891243,48160689,48558866,48594179,48669921,48756203,48903818,49026083,49052188,49672979,50049803,50211179,50279313,50626418,50784325,50855963,50970506,51177923,51888988,52088579,52452189,52730003,53583443,53718026,54795846,55018979,55254952,55267940,55321225,55430546,55443203,56141950,56448683,56607179,56871179,57139466,57822026,59038881,59080883,59133323,59395403,59761979,59856325,60519112,60546506,60712341,60941190,60955069,61149205,61953448,62161821,62244626,62368979,63923579,63939146,64277618,64285283,64543403,64597564,64739605,64852883,65003936,65233150,65297992,65471252,65625323,66321528,66385470,66601163,66730408,67164803,67317386,67370340,67685032,67991306,68084001,69155363,69337418,69673586,69697629,69816179,70547368,70811168,70982003,71740043,71827590,71861696,72093179,72128901,72438289,72697643,72970105,73099979,73129428,73379046,73451603,73460241,73702523,73752683,73852979,74611719,74754203,74954123,75071709,75116764,75327805,76001603,76145661,76616096,77687526,78279780,78678923,78954200,79027826,79207869,79359818,79365789,79418483,79596232,79662564,79691666,79959683,80085733,80156243,80696123,80700753,80844408,81430763,81963069,82163603,83002226,83498432,83818043,84180988,85076963,85511483,86193108,86284029,86298386,86441509,86514405,87078670,87434843,87564126,87663793,87941066,88296179,88823475,88970541,89041564,89354245,89545761,89868563,89963579,90106043,90393366,90949959,90993352,92195186,92282032,92485150,92831473,92940203,93409763,93530360,93935736,94533443,94745040,94906979,95233403,95466323,95960764,96070979,96072325,96204712,96766979,97322483,97341148,97397618,97830683,98153579,98337489,98706203,98982083,99339026,99395363,...,15579475034855261538490763975262114517969728437841481956729949458219061082515967292109891372783456949765719842569793989395673868726811141958130150422767140507841679695563930817913880900093023842660943658740774545467729161588655822503728265582677444764258779204786915743974446361487749045673510647644243076621324997826226663117202099075853539992592811760912061262898404143082158170305567461701861162648960294257910727985395544932178181567962157394564322143327875303604686373939393745394414964699163721575906684572744222871787762867979760120557519858048433514131779367508475704884758636631383818023299234068733120918532991915661786622776659378037910173950143488912149533037155151595779835109414303787050005847246349736089550410110147061571613247215757402109699793936108125551825989501143946642269643494508157784978230451679839215646884490442697472535232413359667601958008341652010242168713112043560536331860027482075924701449938094002128530826145402269201915332008864616752592666355668186853120873013583091436301048876543623384683926198934620950170978794233551285554627007884327108487174126433536257916240166533074236741651062139953954649806988089939087977887806089735865120216967496452540554236105454700736738183124695070695965833889401230628145498461698679010417926273011868379514666089819743036958455756955627268835948141706013387077207711906867836990193847596562948291315988690601878674150979758314507188474448363134658557742480097266930226622410171894951547061805997847211812295351741818330257463872709777872655442405889478753551701338724217170086534962495182428817627420886453863448302357818777053183479046273322066056231731229259608241179413519923088799428296535971840721357920680163064288153635030290779675141466723627299607792830457627678223472679815219177953726738500239546537875218266959118506606304705217020849204250917616690629964722783711944743816243847217234187541964450441066142283634415366467560491818218023317652196331777049658805286273766542507236524391241603170352214280774400291042973970035948474653088133273682679629255308954879131808469473075433509403442714242524071946694482245983071407170713173392423696669703309572647544526916516014924948729194997724302682884138744626790258489459971368233755976066541495019932674433369226806044444960185336985268555865063063338690764137296887644184342726243294878934585376092973063852488443804959822189150995284195282157376427519045434902205787137541853628332145680269429442296525895215512940106120819177368875772630918560208138288915702421531491120781873316131751688817872596727903420714664009459302809175411759336394574003223686917898442025190491918041463473160355237266954245095261748336577819033467266786905424222963868738962224386706374974190138202077587183103938618328317537693140090362055924544496300813431476915739580623622518595513683705065763192955847395487512109752005455242587876698550383667864936893378113387702303293535330875911289191926915730369668806868531772308171524711815330273720682469717363433641687251787198152162094950763668028310215799262975523497290659393156920111690823485498496212909375571383326514946519365400599682908794939850892148451910995068876627980689825197455055416615492231277074331255717855620758816140630914804524062139187830604174576087368307303665699722156003012121951270896332482413356173031427855507460234736118304485428899340428706558429829078208092731800263848243416274564288724383758953773777193380612881267775192850374859748985678139232980960341653141653581274749009770172867660467436952988783388144904222822739229785422148704965237367657896183683546888063722184241966559062296176664047824390862073404227753575860663001294754919271038854001093286814385549207254239534606911244274390191786291916032745292481305531943519839185974017018926267159080186080787210470318829608214435793997781187198140327843298319953802471824318794639250209302040936215592649420510458348488150002316559438726546680138875927863215536102838425890746679936167895166139706580521335576445471513672050048613146898451501048420479482064665012776086516394354403602684198459196122685596758526854356869753266210216659787369244289116927527354870315847756976811636916587811846912543770614570873187527919126141867323759619213587691099418618779739763312035181816165508301291690512432248163594259640608661078986123115433885373321639037957776398966772123222775807705307214541683380924868215567710258376020270324133042146825214264539399613354488825295222949015844999821519222817676548278822712304514001098198146011091667286017111373311008095761674473657082222501356674952073869687346521768282547028567785969321583900177247807071585686224686099451380449890029614629596675082157450631152930575406654981580495073987129473938377727871729420825764042900882777289054475305139643300154060325534487174194936770702854248568195849404282063004695859776788534717910925133450066837053841}
30397  943462185200853442295296456294724148314847601234273715087308999011240075032340189377304: {243128,273519,455835,486224,547002,4278927,4824219,4889087,6346703,6458799,6711107,6984410,8381292,9134447,9178779,11066435,11357258,11973635,13049210,13279722,14221487,14368362,14596907,15068543,15659052,16155244,16960619,17306319,17419178,17608367,17846427,17874383,19964378,20316410,20528092,20568947,21025835,21082539,21329723,21526490,22345103,22831955,23078920,23235627,24046139,24341339,24379692,24702458,24884540,25154810,25231002,25385259,25831788,25963785,26336783,27340955,27398346,27694704,27747503,27978899,28520540,28702586,28909384,29012627,29384210,29861448,30185772,31156542,31278927,31440803,31541363,31840955,31985738,32343506,32523057,32809146,33442394,33594129,33638435,33987599,34224648,34482639,34526507,34739848,35261052,35330687,37610987,37854383,38168978,38209146,38502729,38717925,39082329,39639290,40366122,40420559,40693466,40796147,40884143,41299120,41446610,41512187,41927727,42271823,42529139,42604235,43266266,44174783,44468099,45059090,45993923,46461510,46515482,46691499,46703087,47348906,47567148,48348083,49558944,49735932,49804259,49857627,50472410,51125082,51520859,52714307,52954223,53441819,53613083,54070908,54077690,54189839,54209267,54735164,55116105,55431503,55753812,56092163,56874635,56878444,57135743,57215019,58031337,58262619,58280210,58389107,58790512,59224403,59432027,59844284,60355227,60566892,60819914,61070522,61250447,61315235,61540943,61728947,61959772,62687099,62878984,64214252,64861235,64893228,65316227,66079343,66139326,67039084,67652139,67944539,68249562,68553059,69068690,69084925,69646703,69936252,70098002,70738857,71067659,71459483,71711999,72838299,73061128,73161098,73355727,73578282,73917722,75096347,75253706,75625562,75648890,75939627,76455759,77081066,77308907,77441810,77833482,78717323,78718508,79458539,79619183,80577039,80665187,80746778,80746955,80949788,81254920,81622490,81839065,82193769,82269482,82649594,82882428,82901910,83145819,83413010,84179123,84212925,84606290,85152323,85709199,86733039,87189146,87436739,88184210,88428704,88513960,88930322,89827120,90386303,90778668,90819759,91018883,91411785,91742123,92865647,92930172,93182162,93366939,93710639,93895955,95544122,95648699,95770120,95851658,95859503,95908719,96171868,96416427,96896346,96993407,97505904,97838728,97849725,97946988,98206878,98323979,98692750,99043547,99482292,99495290,99578205,99682403,...,20772633379807015384654351967016152690626304583788642608973265944292081443354623056146521830377942599687626456759725319194231824969081522610840200563689520677122239594085241090551841200124031790214591544987699393956972215451541096671637687443569926352345038939715887658632595148650332060898014196858990768828433330434968884156269465434471386656790415681216081683864538857442877560407423282269148216865280392343880970647194059909570908757282876526085762857770500404806248498585858327192553286265551628767875579430325630495717017157306346827410026477397911352175705823344634273179678182175178424031065645424977494558043989220882382163702212504050546898600191318549532710716206868794373113479219071716066674462995132981452733880146862748762150996287676536146266391914810834069101319334858595523026191326010877046637640602239785620862512653923596630046976551146223469277344455536013656224950816058080715109146703309434566268599917458669504707768193869692269220442678486155670123555140890915804161164018110788581734731835391497846245234931912827933561305058978068380739502677179102811316232168578048343888320222044098982322201416186605272866409317453252117303850408119647820160289289995270054072314807272934315650910832926760927954445185868307504193997948931572013890568364015824506019554786426324049277941009274169691781264188941351182769610282542490449320258463462083931055087984920802504898867973011086009584632597817512878076989973463022573635496546895859935396082407997129615749727135655757773676618496946370496873923207852638338068935118298956226782046616660243238423503227848605151264403143758369404244638728364429421408308974972346144321572551359897451732571062047962454295143894240217419050871513373721039566855288964836399477057107276836904297963573086958903938302318000319395383833624355945491342141739606956027798939001223488920839952963711615926325088325129622978916722619267254754856378179220488623413989090957364423536261775702732878407048365022056676315365854988804227136285707699200388057298626714597966204117511031576906172340411939838842411292630767244679204590285656698762595592642994644095209560950897856564928892937746096863392702555354686566598305593330299070243845518326169053677985946628490978341301422055326693243565911158969074725926613580449313691407820084084451587685516395850192245790301657726505246113834790630751803317925073279762918867993712260376209835236692060579869607716183389138171109527573692572589728701193620683920141494425569825167696841224746944184385220936562041988161042497754842335585090496795637204560952885345945737078900549012448526098670964915890531256033587322557388617964213806983022605660127015664448770425377956355715873898963951824985282965848941833298920184269436782910805251491104423383590853453816074566059328401084575302554319440831496691460684911606754350923941129860650016146336007273656783835598067178223819915857837484516936404391380441167881718922569220973826225075824709029744228699615753773698294243292956484578188916335716264202882793267684890704413621065683967364663054212524209226815587764647331328283879167428511102019928692487200799577211726586467856197935881326758502170640919766929940073888820656308369432441674290474161011754854174553072698749518917107472232768116491076404887599629541337349495935027861776643217808230708570474009946979648157739313905199120571608744573105437610790309067018464324555032752384965845011938365036257840817175023700257133833146331980904185643974613788870855538108366332013026897156880623249270651711184193205630430318973047229531606620316490210528244911395850751629578989288745416394902218730432521149431205637004767814217335059673225694718472001457715752514065609672319379475881659032520255715055888043660389975074042591359785581298689358568356212106914774382947293758439477619247725330374916264187103791064426605069962432425059519000279069387914954123532560680611131317533336422079251635395573518501237150954048137117901187662239914890526888186275440695114101927295351562733398150862531268668064560639309419553350368115355192472538136912264612261496914129011369139142493004354946955546383158992385489236703139827087797009302415515888783749129216725027486094497583370558834855823098346158951450254799224825039653017749380242421554011068388920683242997551459012854144881438648164153911847164428852050610368531955696164297034410273742952722244507899824287423613677834693693765510722862433619019385866151139318433726963932021126666428692297090235397705096949739352001464264194681455556381356148497748010794348899298209442963335142233269431826249795362357710062704757047959095445200236330409428780914966248132601840599853372819506128900109543267508203907433875539975440660098649505965251170303828972561101018723867843703052072633740186191066872080434045982898926582360937138998090927799205709417339594479702384712957214566844600089116071788}
30398  946375260351801830856303900988159411994732709970832792196897976889641136020618310659179: {212737,303910,364692,425446,607780,729336,820503,941377,1761286,2395201,3844417,4206001,4427158,4747837,5031958,5394646,5705236,6240358,6369457,6432292,6908701,7688326,8290966,8611732,9237937,10457158,10476615,11175056,11658358,12018406,12238372,12265501,12571938,13152001,13696726,15491446,15849958,16328497,16685926,17035887,17043958,17640358,17706296,18474646,19157816,19573815,19919583,20194055,20259766,20878736,20972806,21552543,21570817,22041286,22438237,22784701,22989958,23075092,23303857,23488578,23795236,23995057,24232866,24512701,25295711,25660115,26128767,26892406,28110052,28660486,28848650,29312797,29653501,29946567,30397367,30474615,30792138,30843697,30980836,31105675,31247158,31861057,32289735,32506256,33044701,33591958,33641336,33847012,34411126,34442384,34618380,35346358,35650675,35904577,36136730,36163846,36531128,36569538,36926272,37053687,37326810,37732215,37743997,37846503,38262358,38410717,38747682,39815264,40007158,40072477,40247696,41097519,41542056,41705236,42551617,42780810,43045501,43053879,43138726,43364076,43424810,43485958,43745528,44076315,44195377,44792172,45278658,45632864,45976852,46321501,46734813,46810417,47014736,47180806,47871766,47948701,47978607,48515259,48677158,48907126,49022086,49213719,49891837,50163591,50744566,50859517,50945528,51336972,51441698,51503197,51623900,52109772,52891578,53107357,53821496,55019111,55500097,55903636,56118358,56452657,56915686,57086257,57253467,57313719,58621606,59137501,59302966,59458935,59529958,60549183,60663958,61040199,61489201,61570006,61948680,62169915,62255332,62361958,62701126,63422864,63928487,64056358,64289857,64899399,64909057,64958566,65681437,65835697,66078592,66314576,66452017,66476836,67434358,67588635,68140957,68166776,68418955,69342166,69692265,69773223,71021686,71023359,71037697,71098055,71350722,71357158,71692486,72094544,72809206,73366966,73456897,73488140,73758001,74338416,74603898,74805355,74959537,75708615,76286692,76454977,76687623,76705126,77375116,77449715,77683492,78598730,78684637,79697158,80162077,80267815,80473636,80755856,81106362,81116535,81485617,82102746,82218397,83095357,83630718,83678557,83778406,83798855,85131517,85317666,85608887,85975366,86524304,86721457,87420315,88185768,88732417,89586358,89589937,89766426,89913766,90160177,90202852,90635447,90850338,90999416,91004086,91221958,91229871,91326410,91605783,92527846,92939658,93248336,94156966,94318476,94540477,95520001,95782486,96321378,97117732,97188358,97339842,97512406,97807636,98052166,98104376,98398135,98713597,99208989,99345958,...,31158950069710523076981527950524229035939456875682963913459898916438122165031934584219782745566913899531439685139587978791347737453622283916260300845534281015683359391127861635827761800186047685321887317481549090935458323177311645007456531165354889528517558409573831487948892722975498091347021295288486153242649995652453326234404198151707079985185623521824122525796808286164316340611134923403722325297920588515821455970791089864356363135924314789128644286655750607209372747878787490788829929398327443151813369145488445743575525735959520241115039716096867028263558735016951409769517273262767636046598468137466241837065983831323573245553318756075820347900286977824299066074310303191559670218828607574100011694492699472179100820220294123143226494431514804219399587872216251103651979002287893284539286989016315569956460903359678431293768980885394945070464826719335203916016683304020484337426224087121072663720054964151849402899876188004257061652290804538403830664017729233505185332711336373706241746027166182872602097753087246769367852397869241900341957588467102571109254015768654216974348252867072515832480333066148473483302124279907909299613976179878175955775612179471730240433934992905081108472210909401473476366249390141391931667778802461256290996923397358020835852546023736759029332179639486073916911513911254537671896283412026774154415423813735673980387695193125896582631977381203757348301959516629014376948896726269317115484960194533860453244820343789903094123611995694423624590703483636660514927745419555745310884811778957507103402677448434340173069924990364857635254841772907726896604715637554106366958092546644132112463462458519216482358827039846177598856593071943681442715841360326128576307270060581559350282933447254599215585660915255356446945359630438355907453477000479093075750436533918237013212609410434041698408501835233381259929445567423889487632487694434468375083928900882132284567268830732935120983636436046635304392663554099317610572547533085014473048782483206340704428561548800582085947940071896949306176266547365359258510617909758263616938946150867018806885428485048143893388964491966142814341426346784847393339406619145295089053833032029849897458389995448605365768277489253580516978919942736467511952133082990039865348866738453612088889920370673970537111730126126677381528274593775288368685452486589757869170752185946127704976887609919644378301990568390564314752855038090869804411574275083707256664291360538858884593051790431025880212241638354737751545261837120416276577831404843062982241563746632263503377635745193455806841429328018918605618350823518672789148006447373835796884050380983836082926946320710474533908490190523496673155638066934533573810848445927737477924448773412749948380276404155174366207877236656635075386280180724111849088992601626862953831479161247245037191027367410131526385911694790975024219504010910485175753397100767335729873786756226775404606587070661751822578383853831460739337613737063544616343049423630660547441364939434726867283374503574396304324189901527336056620431598525951046994581318786313840223381646970996992425818751142766653029893038730801199365817589879701784296903821990137753255961379650394910110833230984462554148662511435711241517632281261829609048124278375661208349152174736614607331399444312006024243902541792664964826712346062855711014920469472236608970857798680857413116859658156416185463600527696486832549128577448767517907547554386761225762535550385700749719497971356278465961920683306283307162549498019540345735320934873905977566776289808445645478459570844297409930474735315792367367093776127444368483933118124592353328095648781724146808455507151721326002589509838542077708002186573628771098414508479069213822488548780383572583832065490584962611063887039678371948034037852534318160372161574420940637659216428871587995562374396280655686596639907604943648637589278500418604081872431185298841020916696976300004633118877453093360277751855726431072205676851781493359872335790332279413161042671152890943027344100097226293796903002096840958964129330025552173032788708807205368396918392245371193517053708713739506532420433319574738488578233855054709740631695513953623273833175623693825087541229141746375055838252283734647519238427175382198837237559479526624070363632331016602583381024864496327188519281217322157972246230867770746643278075915552797933544246445551615410614429083366761849736431135420516752040540648266084293650428529078799226708977650590445898031689999643038445635353096557645424609028002196396292022183334572034222746622016191523348947314164445002713349904147739374693043536565094057135571938643167800354495614143171372449372198902760899780059229259193350164314901262305861150813309963160990147974258947876755455743458841651528085801765554578108950610279286600308120651068974348389873541405708497136391698808564126009391719553577069435821850266900133674107682}
30399  949297277939468406343932294218643803835133430217052603017998285309096619581100538445458: {455865,486256,547038,638169,759725,911670,972448,1094004,2641929,6640737,7131545,7500649,7547937,8040365,8091969,8557854,9360537,9648438,9778174,10764665,11532489,12436449,12693406,12917598,13422214,13686497,13968820,15297965,15493009,15685737,15686297,16762584,16763089,17487537,18027609,18268894,18357558,18857907,20241449,20545089,21147677,22132870,22714516,23237169,23774937,23947270,25028889,25516781,25565937,26098420,26407849,26460537,26559444,27711969,28442974,28736724,28767037,28843865,29193814,29436169,29744045,30137086,30389649,30413969,31125289,31318104,31459209,31964737,32310488,33061929,33921238,34484937,34612638,34838356,35137565,35139721,35216734,35232867,35692854,35748766,36349299,36963737,38277337,38588449,38726045,39928756,40338609,40632820,41056184,41137894,41330249,42035809,42051670,42165078,42308765,42659446,42990729,43052980,43272975,44577337,44690206,45663910,45833309,46157840,46188207,46471254,46870737,47093809,48092278,48237529,48682678,48759384,49404916,49769080,49957609,50309620,50387937,50462004,50770518,51616689,51663576,51927570,52131545,52673566,53019537,54205095,54245769,54681910,54796692,54854307,55389408,55495006,55957798,55990215,56048737,57041080,57310537,57393537,57405172,57471065,57818768,57829337,58025254,58121523,58146749,58768420,59645929,59722896,60010737,60371544,62313084,62557854,62691241,62881606,63082726,63443897,63681910,63971476,64042537,64171215,64529875,64687012,64708089,65046114,65137215,65228937,65618292,66884788,67188258,67276870,67917987,67975198,68449296,68965278,69053014,69479696,69879545,70522104,70661374,70771209,71807649,73000489,73015737,73360689,73533129,74492009,75221974,75312017,75708766,76116849,76337956,76418292,77005458,77162547,77435850,77819165,78093769,78164658,79278580,79337367,79624489,79866481,80732244,80841118,81386932,81592294,81768286,82598240,82893220,83024374,83096045,83208257,83855454,84002489,84177537,84543646,85058278,85093037,85208470,85373529,85841329,86532532,87932409,88349566,88657901,88936198,88954449,89122121,89294937,90118180,90155209,90805729,90995937,91024897,91860175,91907729,91987846,92355009,92923020,93030964,93382998,93406174,93542937,94051689,94697812,95134296,95358365,96084537,96696166,96718895,97104365,97437849,99117888,99471864,99608518,99715254,...,46738425104565784615472291925786343553909185313524445870189848374657183247547901876329674118350370849297159527709381968187021606180433425874390451268301421523525039086691792453741642700279071527982830976222323636403187484765967467511184796748032334292776337614360747231923339084463247137020531942932729229863974993478679989351606297227560619977778435282736183788695212429246474510916702385105583487946880882773732183956186634796534544703886472183692966429983625910814059121818181236183244894097491164727720053718232668615363288603939280361672559574145300542395338102525427114654275909894151454069897702206199362755598975746985359868329978134113730521850430466736448599111465454787339505328242911361150017541739049208268651230330441184714839741647272206329099381808324376655477968503431839926808930483524473354934691355039517646940653471328092417605697240079002805874025024956030726506139336130681608995580082446227774104349814282006385592478436206807605745996026593850257777999067004560559362619040749274308903146629630870154051778596803862850512936382700653856663881023652981325461522379300608773748720499599222710224953186419861863949420964269817263933663418269207595360650902489357621662708316364102210214549374085212087897501668203691884436495385096037031253778819035605138543998269459229110875367270866881806507844425118040161231623135720603510970581542789688844873947966071805636022452939274943521565423345089403975673227440291800790679867230515684854641185417993541635436886055225454990772391618129333617966327217668436260655104016172651510259604887485547286452882262659361590344907073456331159550437138819966198168695193687778824723538240559769266398284889607915522164073762040489192864460905090872339025424400170881898823378491372883034670418039445657533861180215500718639613625654800877355519818914115651062547612752752850071889894168351135834231448731541651702562625893351323198426850903246099402681475454654069952956588995331148976415858821299627521709573173724809511056642842323200873128921910107845423959264399821048038887765926864637395425408419226300528210328142727572215840083446737949214221512139520177271090009109928717942633580749548044774846187584993172908048652416233880370775468379914104701267928199624485059798023300107680418133334880556010955805667595189190016072292411890662932553028178729884636803756128278919191557465331414879466567452985852585846472129282557136304706617361412625560884996437040808288326889577685646538820318362457532106627317892755680624414866747107264594473362345619948395255066453617790183710262143992028377908427526235278009183722009671060753695326075571475754124390419481065711800862735285785245009733457100401800360716272668891606216886673160119124922570414606232761549311815854984952613079420271086167773633488902440294430747218741870867555786541051115197289578867542186462536329256016365727763630095651151003594810680134340163106909880605992627733867575780747191109006420605595316924514574135445990821162047409152090300925061755361594456486284852291004084930647397788926570491871978179470760335072470456495488638728126714149979544839558096201799048726384819552676445355732985206629883942069475592365166249846476693831222993767153566862276448421892744413572186417563491812523728262104921910997099166468009036365853812688997447240068519094283566522380704208354913456286698021286119675289487234624278195400791544730248823692866173151276861321331580141838643803325578551124579246957034417698942881024959424960743824247029310518602981402310858966350164434712668468217689356266446114895712102973688551050640664191166552725899677186888529992143473172586220212683260727581989003884264757813116562003279860443156647621762718603820733732823170575358875748098235877443916595830559517557922051056778801477240558242361631410956488824643307381993343561594420983529894959861407415472956383917750627906122808646777948261531375045464450006949678316179640040416627783589646608308515277672240039808503685498419119741564006729336414541016150145839440695354503145261438446193995038328259549183063210808052595377588368056790275580563070609259798630649979362107732867350782582064610947543270930434910749763435540737631311843712619562583757378425601971278857640763073298255856339219289936105545448496524903875071537296744490782778921825983236958369346301656119964917113873329196900316369668327423115921643625050142774604646703130775128060810972399126440475642793618198840063466475885668847047534999464557668453029644836468136913542003294594438033275001858051334119933024287285023420971246667504070024856221609062039565304847641085703357907964751700531743421214757058674058298354141349670088843888790025246472351893458791726219964944741485221961388421815133183615188262477292128702648331867163425915418929900462180976603461522584810312108562745704587548212846189014087579330365604153732775400350200511161523}
30400  952228265255832525294317098814414683942475453742332243983482249331583082324684016525668: {334279,425474,607820,729384,820557,850892,1215560,1367505,1458672,1608391,1641006,1790119,1882754,3241351,3522572,3965239,4790402,5949991,7208479,7688834,7926031,8412002,8463439,8854316,9357679,9495674,10063916,10606591,10789292,11410472,11674279,12480716,12738914,12836781,12864584,13817402,14332159,14472657,14667261,15376652,15566959,16581932,16798231,17223464,17461025,18475874,19040109,19075519,19250191,19376397,19599319,20122471,20133321,20296711,20914316,20953230,22350112,23316716,24036812,24456871,24476744,24531002,25143876,25490431,26304002,27393452,27403341,27536337,27891991,28271677,28393145,28575559,28746271,29769031,30982892,31128679,31699916,32145391,32314591,32623025,32656994,33199305,33371852,34071774,34087916,34843951,35280716,35412592,35920905,35924161,36949292,37190071,38315632,39147630,39688111,39839166,39854071,40388110,40418477,40519532,41674879,41757472,41945612,42004999,42664461,43105086,43141634,43322599,43547945,43790721,44082572,44876474,45205629,45569402,45617311,45979916,46150184,46270351,46607714,46977156,47590472,47990114,48465732,48708991,49025402,49910945,50591422,50791025,50881857,51320230,51918957,52257534,52825101,53539281,53623149,53784812,53816225,54176599,54336151,56220104,56720791,57320972,57697300,58625594,58931839,59307002,59718079,59893134,60794734,60949230,61584276,61687394,61706841,61756145,61961672,62211350,62494316,62887025,63000631,63077505,63247617,63722114,63989169,64579470,65012512,66089402,66713239,67035309,67174399,67183916,67282672,67634911,67694024,68400991,68495865,68706919,68822252,68884768,69236760,69706881,70692716,70992199,71301350,71756465,71809154,72053119,72138417,72273460,72327692,72506719,72808759,73024017,73062256,73110511,73139076,73460525,73713151,73852544,73863631,74107374,74653620,74764999,75064879,75464430,75487994,75693006,76112191,76155777,76524716,76821434,77007079,77495364,77750839,77891355,78789079,79010349,79630528,79964345,80014316,80144954,80495392,80858765,81295831,81442639,82022865,82195038,83084112,83242509,83410472,83605985,83936697,85089439,85103234,85561620,86091002,86107758,86277452,86728152,86849620,86971916,87037881,87111991,87255919,87491056,87543559,88152630,88390754,88404751,89584344,89976871,90557316,91265728,91540279,91953704,91965151,92106631,92643002,92953999,93469626,93620834,93836781,94029472,94322409,94361612,94624089,95061079,95422445,95522865,95743532,95786537,95897402,95957214,96874111,97013071,97030518,97354316,97569171,97814252,98044172,98122159,98260471,98427438,98812999,99098225,99226639,99537277,99783674,...,62317900139421046153963055901048458071878913751365927826919797832876244330063869168439565491133827799062879370279175957582695474907244567832520601691068562031366718782255723271655523600372095370643774634963098181870916646354623290014913062330709779057035116819147662975897785445950996182694042590576972306485299991304906652468808396303414159970371247043648245051593616572328632681222269846807444650595841177031642911941582179728712726271848629578257288573311501214418745495757574981577659858796654886303626738290976891487151051471919040482230079432193734056527117470033902819539034546525535272093196936274932483674131967662647146491106637512151640695800573955648598132148620606383119340437657215148200023388985398944358201640440588246286452988863029608438799175744432502207303958004575786569078573978032631139912921806719356862587537961770789890140929653438670407832033366608040968674852448174242145327440109928303698805799752376008514123304581609076807661328035458467010370665422672747412483492054332365745204195506174493538735704795738483800683915176934205142218508031537308433948696505734145031664960666132296946966604248559815818599227952359756351911551224358943460480867869985810162216944421818802946952732498780282783863335557604922512581993846794716041671705092047473518058664359278972147833823027822509075343792566824053548308830847627471347960775390386251793165263954762407514696603919033258028753897793452538634230969920389067720906489640687579806188247223991388847249181406967273321029855490839111490621769623557915014206805354896868680346139849980729715270509683545815453793209431275108212733916185093288264224926924917038432964717654079692355197713186143887362885431682720652257152614540121163118700565866894509198431171321830510712893890719260876711814906954000958186151500873067836474026425218820868083396817003670466762519858891134847778975264975388868936750167857801764264569134537661465870241967272872093270608785327108198635221145095066170028946097564966412681408857123097601164171895880143793898612352533094730718517021235819516527233877892301734037613770856970096287786777928983932285628682852693569694786678813238290590178107666064059699794916779990897210731536554978507161033957839885472935023904266165980079730697733476907224177779840741347941074223460252253354763056549187550576737370904973179515738341504371892255409953775219839288756603981136781128629505710076181739608823148550167414513328582721077717769186103580862051760424483276709475503090523674240832553155662809686125964483127493264527006755271490386911613682858656037837211236701647037345578296012894747671593768100761967672165853892641420949067816980381046993346311276133869067147621696891855474955848897546825499896760552808310348732415754473313270150772560361448223698177985203253725907662958322494490074382054734820263052771823389581950048439008021820970351506794201534671459747573512453550809213174141323503645156767707662921478675227474127089232686098847261321094882729878869453734566749007148792608648379803054672113240863197051902093989162637572627680446763293941993984851637502285533306059786077461602398731635179759403568593807643980275506511922759300789820221666461968925108297325022871422483035264562523659218096248556751322416698304349473229214662798888624012048487805083585329929653424692125711422029840938944473217941715597361714826233719316312832370927201055392973665098257154897535035815095108773522451525071100771401499438995942712556931923841366612566614325098996039080691470641869747811955133552579616891290956919141688594819860949470631584734734187552254888736967866236249184706656191297563448293616911014303442652005179019677084155416004373147257542196829016958138427644977097560767145167664130981169925222127774079356743896068075705068636320744323148841881275318432857743175991124748792561311373193279815209887297275178557000837208163744862370597682041833393952600009266237754906186720555503711452862144411353703562986719744671580664558826322085342305781886054688200194452587593806004193681917928258660051104346065577417614410736793836784490742387034107417427479013064840866639149476977156467710109419481263391027907246547666351247387650175082458283492750111676504567469295038476854350764397674475118959053248140727264662033205166762049728992654377038562434644315944492461735541493286556151831105595867088492891103230821228858166733523699472862270841033504081081296532168587300857058157598453417955301180891796063379999286076891270706193115290849218056004392792584044366669144068445493244032383046697894628328890005426699808295478749386087073130188114271143877286335600708991228286342744898744397805521799560118458518386700328629802524611722301626619926321980295948517895753510911486917683303056171603531109156217901220558573200616241302137948696779747082811416994272783397617128252018783439107154138871643700533800267348215364}
30401  955168249675684388124771490205682650473727367383281323388679187939166971676130696735544: {638211,759775,911730,972512,1063615,1094076,1276338,1519450,1823340,1944896,2188008,2461509,2824131,4403215,5283858,7185603,7682851,8776063,9984163,11067895,11256511,11533251,12579895,12618003,13281474,13486615,14243511,14263090,14354131,15001298,15070531,15095874,15600895,16080730,16174951,16183938,17115708,18538351,18721074,19088263,19108371,19220815,19296876,19556348,20726103,20727415,21417151,21529330,21637411,22179271,22348051,23064978,23635639,23679139,24872898,25386812,25820191,25835196,26142895,26844428,27276559,27372994,27670291,27713811,27937640,29145895,30046015,30595930,30986018,31371474,31372594,31429845,31444951,32322631,33525168,33526178,33992083,34241815,34975074,36055218,36537788,36587791,36715116,36796503,37715814,38728615,39456003,39624895,40381411,40482898,41090178,41142883,41641663,41714815,42295354,42609895,43603219,44100895,44180611,44265740,45429032,45591271,45999991,46186615,46474338,46600303,47549874,47894540,48985491,49192591,49491331,49564999,50057778,50649415,50966239,51033562,51107661,51131874,51225463,51865543,52196840,52432015,52815698,52921074,53118888,54216463,55103215,55423938,55519651,56885948,57473448,57474895,57534074,57687730,58150591,58387628,58413151,58721445,58872338,59232271,59485459,59488090,59758749,60274172,60582165,60779298,60827938,62250578,62636208,62918418,63929474,64108231,64620976,64657629,64712451,64987543,65857111,66123858,66948163,67231015,67314711,67373431,67842476,68354103,68969874,69225276,69401263,69676712,69911571,70275130,70279442,70433468,70465734,71385708,71497532,71651215,71985171,72121625,72698598,72984163,73538103,73927474,74496931,74979151,75884383,75887133,75975559,76554674,76980345,77176898,77452090,78117895,78386301,79579711,79857512,80459491,80677218,81265640,82112368,82275788,82660498,83213779,83214871,83979895,84071618,84103340,84330156,84617530,85185991,85318892,85981458,86027815,86105960,86545950,86850031,87938391,88365895,88663759,88850551,88960503,89005111,89154674,89380412,89784739,89839701,90341825,90409615,90413503,91192101,91327820,91423845,91666618,91754311,92315680,92376414,92531091,92934631,92942508,93066919,93317025,93741474,94187618,94772239,95289391,95583171,95655895,96184556,96475058,96869205,97002631,97365356,97518768,97831363,98337031,98809832,99134103,99158743,99538160,99915218,...,93476850209131569230944583851572687107818370627048891740379696749314366495095803752659348236700741698594319055418763936374043212360866851748780902536602843047050078173383584907483285400558143055965661952444647272806374969531934935022369593496064668585552675228721494463846678168926494274041063885865458459727949986957359978703212594455121239955556870565472367577390424858492949021833404770211166975893761765547464367912373269593069089407772944367385932859967251821628118243636362472366489788194982329455440107436465337230726577207878560723345119148290601084790676205050854229308551819788302908139795404412398725511197951493970719736659956268227461043700860933472897198222930909574679010656485822722300035083478098416537302460660882369429679483294544412658198763616648753310955937006863679853617860967048946709869382710079035293881306942656184835211394480158005611748050049912061453012278672261363217991160164892455548208699628564012771184956872413615211491992053187700515555998134009121118725238081498548617806293259261740308103557193607725701025872765401307713327762047305962650923044758601217547497440999198445420449906372839723727898841928539634527867326836538415190721301804978715243325416632728204420429098748170424175795003336407383768872990770192074062507557638071210277087996538918458221750734541733763613015688850236080322463246271441207021941163085579377689747895932143611272044905878549887043130846690178807951346454880583601581359734461031369709282370835987083270873772110450909981544783236258667235932654435336872521310208032345303020519209774971094572905764525318723180689814146912662319100874277639932396337390387375557649447076481119538532796569779215831044328147524080978385728921810181744678050848800341763797646756982745766069340836078891315067722360431001437279227251309601754711039637828231302125095225505505700143779788336702271668462897463083303405125251786702646396853701806492198805362950909308139905913177990662297952831717642599255043419146347449619022113285684646401746257843820215690847918528799642096077775531853729274790850816838452601056420656285455144431680166893475898428443024279040354542180018219857435885267161499096089549692375169986345816097304832467760741550936759828209402535856399248970119596046600215360836266669761112021911611335190378380032144584823781325865106056357459769273607512256557838383114930662829758933134905971705171692944258565114272609413234722825251121769992874081616576653779155371293077640636724915064213254635785511361248829733494214529188946724691239896790510132907235580367420524287984056755816855052470556018367444019342121507390652151142951508248780838962131423601725470571570490019466914200803600721432545337783212433773346320238249845140829212465523098623631709969905226158840542172335547266977804880588861494437483741735111573082102230394579157735084372925072658512032731455527260191302302007189621360268680326213819761211985255467735151561494382218012841211190633849029148270891981642324094818304180601850123510723188912972569704582008169861294795577853140983743956358941520670144940912990977277456253428299959089679116192403598097452769639105352890711465970413259767884138951184730332499692953387662445987534307133724552896843785488827144372835126983625047456524209843821994198332936018072731707625377994894480137038188567133044761408416709826912573396042572239350578974469248556390801583089460497647385732346302553722642663160283677287606651157102249158493914068835397885762049918849921487648494058621037205962804621717932700328869425336936435378712532892229791424205947377102101281328382333105451799354373777059984286946345172440425366521455163978007768529515626233124006559720886313295243525437207641467465646341150717751496196471754887833191661119035115844102113557602954481116484723262821912977649286614763986687123188841967059789919722814830945912767835501255812245617293555896523062750090928900013899356632359280080833255567179293216617030555344480079617007370996838239483128013458672829082032300291678881390709006290522876892387990076656519098366126421616105190755176736113580551161126141218519597261299958724215465734701565164129221895086541860869821499526871081475262623687425239125167514756851203942557715281526146596511712678438579872211090896993049807750143074593488981565557843651966473916738692603312239929834227746658393800632739336654846231843287250100285549209293406261550256121621944798252880951285587236397680126932951771337694095069998929115336906059289672936273827084006589188876066550003716102668239866048574570046841942493335008140049712443218124079130609695282171406715815929503401063486842429514117348116596708282699340177687777580050492944703786917583452439929889482970443922776843630266367230376524954584257405296663734326851830837859800924361953206923045169620624217125491409175096425692378028175158660731208307465550800700401022323046}
30402  958117258656874849537370823623077057487436225652003220285682635121582511643764441167086: {334301,395057,668558,850948,1215640,1367595,1458768,1641114,1701784,1850801,1914507,2279175,2395517,2431120,2516477,2697857,2735010,2917344,3216782,3282012,3301937,3580238,3765508,3965501,4507697,5409917,5770301,6010397,6482702,7029377,7045144,7268801,7925787,7926557,7930478,8105777,8523677,8821937,9358301,9417857,9580804,9953501,11200817,11675057,11899982,12562877,13271837,14416958,15377668,15568001,15626717,15852062,16824004,16926878,16974977,17708632,17851997,18260657,18715358,18991348,19076801,19135037,19658801,19922211,20127832,21213182,21342077,21394635,21578584,21747377,21920957,22501947,22556801,22643811,22787777,22820944,22903217,23348558,24121095,24275907,24286001,24445435,24516017,24961432,25477828,25673562,25729168,27094877,27380417,27634804,28081611,28664318,28945314,29146301,29334522,29771057,29941277,30508157,30753304,31133918,31187357,31356977,31733515,31978301,32293995,33163864,33555535,33596462,33667901,34229501,34446928,34510001,34597467,34846337,34922050,35070401,35685917,35853617,36412097,36951748,37248317,37309347,37860401,38080218,38151038,38500382,38752794,39198638,39750403,40078001,40244942,40266642,40593422,41059491,41237117,41828632,41906460,42062897,42832001,43161137,43982717,44201501,44529437,44700224,44966237,45672235,45893895,46327937,46436657,46479027,46633432,47057211,47058891,47767291,48073624,48766397,48913742,48953488,49062004,49683377,49898801,50221697,50287752,50289267,50383037,50980862,51027677,51778301,52099517,52313501,52462611,52608004,53114801,53861057,54082827,54786904,54806682,55072674,55332175,55783982,56090417,56543354,56573721,56619137,56777597,56786290,57151118,57492542,58200497,58988477,59538062,59774657,59868175,60724347,60967123,61635267,61965784,62257358,62590001,63056957,63367901,63399832,63443031,64290782,64453937,64629182,65246050,65313988,65484977,65947901,66398610,66461501,66743704,66769277,68143548,68175832,68252801,68711837,69687902,69711507,69875323,70561432,70825184,71047901,71107435,71324811,71755517,71841810,71848322,72108737,72511937,72984535,73768637,73868957,73898584,74380142,75070301,75086667,75120257,75342715,75519617,76018097,76550343,76631264,76697811,77062301,77756477,78295260,78547901,78794801,79223547,79376222,79381611,79678332,79708142,80776220,80836954,81039064,81056897,81497501,83135907,83204801,83349758,83514944,83891224,84009998,84803095,85095677,85144001,85328922,86156957,86210172,86283268,86301111,86458603,86531595,86645198,86830301,87095890,87581442,88041835,88165144,88308507,88459037,89232135,89371915,89412797,89752948,90126017,90411258,90458237,90837437,91121501,91138804,91168947,91234622,91241907,91594301,91959832,92300368,92540702,92960897,93215428,93375867,93954312,94133597,94377627,94414301,95068157,95114801,95180944,95894211,95980228,96046001,96931464,97417982,97483037,98050804,98129501,98175617,98590301,98820401,99004337,99185787,99234077,99555377,99821890,...,140215275313697353846416875777359030661727555940573337610569545123971549742643705628989022355051112547891478583128145904561064818541300277623171353804904264570575117260075377361224928100837214583948492928666970909209562454297902402533554390244097002878329012843082241695770017253389741411061595828798187689591924980436039968054818891682681859933335305848208551366085637287739423532750107155316750463840642648321196551868559904389603634111659416551078899289950877732442177365454543708549734682292473494183160161154698005846089865811817841085017678722435901627186014307576281343962827729682454362209693106618598088266796927240956079604989934402341191565551291400209345797334396364362018515984728734083450052625217147624805953690991323554144519224941816618987298145424973129966433905510295519780426791450573420064804074065118552940821960413984277252817091720237008417622075074868092179518418008392044826986740247338683322313049442846019156777435308620422817237988079781550773333997201013681678087857122247822926709439888892610462155335790411588551538809148101961569991643070958943976384567137901826321246161498797668130674859559259585591848262892809451791800990254807622786081952707468072864988124949092306630643648122255636263692505004611075653309486155288111093761336457106815415631994808377687332626101812600645419523533275354120483694869407161810532911744628369066534621843898215416908067358817824830564696270035268211927019682320875402372039601691547054563923556253980624906310658165676364972317174854388000853898981653005308781965312048517954530778814662456641859358646787978084771034721220368993478651311416459898594506085581063336474170614721679307799194854668823746566492221286121467578593382715272617017076273200512645696470135474118649104011254118336972601583540646502155918840876964402632066559456742346953187642838258258550215669682505053407502694346194624955107687877680053969595280552709738298208044426363962209858869766985993446929247576463898882565128719521174428533169928526969602619386765730323536271877793199463144116663297780593912186276225257678901584630984428182716647520250340213847642664536418560531813270027329786153827900742248644134324538562754979518724145957248701641112326405139742314103803784598873455179394069900323041254400004641668032867417002785567570048216877235671988797659084536189653910411268384836757574672395994244638399702358957557757539416387847671408914119852084237876682654989311122424864980668733056939616460955087372596319881953678267041873244600241321793783420087036859845185765199360853370551130786431976085133725282578705834027551166029013182261085978226714427262373171258443197135402588205857355735029200371301205401082148818006674818650660019480357374767711243818698284647935447564954857839238260813258503320900466707320883292241656225612602667359623153345591868736602626559387608987768049097183290890286953453010784432040403020489320729641817977883201602727342241573327019261816785950773543722406337972463486142227456270902775185266084783369458854556873012254791942193366779711475615934538412281005217411369486465916184380142449938634518674288605397146179154458658029336067198955619889651826208426777095498749539430081493668981301460700586829345265678233240716559252690475437571184786314765732991297499404027109097561438066992341720205557282850699567142112625064740368860094063858359025868461703872834586202374634190746471078598519453830583963994740425515931409976735653373737740871103253096828643074878274882231472741087931555808944206932576899050493304138005404653068068799338344687136308921065653151921992573499658177699031560665589976430419517758660638049782182745967011652794273439349686009839581329469942865288155811462201198469511726076627244294707632331749787491678552673766153170336404431721674727084894232869466473929922145980030684783262950589684879584222246418869151753251883718368425940333844784594125136393350020849034948538920121249883350768939824925545833016720119425511056495257359224692020188009243623048450437518322086063509435784315338581985114984778647549189632424157786132765104170370826741689211827779395891949938086323198602052347746193832842629812791304732249290306622212893935531137858687751272135276805913836572922289219894767569017657869808316636345489574711625214611890233472348336765477949710875108038904968359894751341619987590700949109004982269347764930875150428323813940109392325384182432917197379321426928380854596520190399427657006541142604998393673005359088934509404410740626009883783314099825005574154002359799072861855070262913740002512210074568664827186118695914542923257110073723894255101595230263644271176022174895062424049010266531666370075739417055680376375178659894834224455665884165265445399550845564787431876386107944995601490277746256789701386542929810384567754430936325688237113762644638538567042262737991096812461198326201050601533484569}
30403  961075319740565978131827935788178242729143710068002473763943436688040862744428682845954: {30403,1002837,1063685,1276422,1489061,1519550,1823460,1945024,2127230,2188152,2461671,2552676,3038900,3646680,3889792,4102515,4376016,4706885,4825173,4923018,5370357,5648262,6164501,8806430,9079733,9724053,9808541,10567716,11895717,11976005,14371206,15365702,15495053,16963973,17552126,17611853,17849973,18881261,19222085,19968326,21030005,21333941,21625437,21841253,22135790,22513022,23066502,23739185,23778093,24346157,24788597,25159790,25236006,25390317,26341997,26411333,26562948,26909141,26973230,27984437,28073037,28487022,28526180,28708262,29018381,29157701,30002596,30141062,30191748,31201790,31819773,31847285,32161460,32349902,32367876,32701253,34231416,34533341,34543505,35022837,35144357,36600053,37076702,37442148,37618433,38176526,38199473,38216742,38441630,38510343,38593752,39112696,40702301,40804253,40892237,41452206,41454830,42064421,42537557,42834302,42996477,43058660,43274822,43417971,44001783,44358542,44696102,46129956,46189685,46256837,46700877,46712333,47271278,47358278,47938541,48243893,49745796,49814117,50230301,50394693,50773624,50885453,51531077,51640382,51670392,52285790,52383075,52724741,53452397,53623697,53688856,53880593,54220061,54553118,54745988,55340582,55427622,55442477,55474853,55875280,57120327,57226557,57750573,58129191,58291790,58400741,58576817,58797957,58886501,59443793,59653853,60092030,60150101,60367413,60399963,60890133,61191860,61262573,61327505,61741253,61972036,62742948,62745188,62859690,62889902,64645262,64661261,64991837,65329181,65614133,65760005,66160181,67050336,67052356,67984166,68483630,69069653,69950148,70050101,70300997,70909181,72110436,73075576,73175582,73370613,73404821,73430232,73593006,74004557,74187557,75299717,75431628,75764273,75889397,76471293,77144501,77457230,78912006,79249790,80464853,80762822,80965796,81642485,81821393,82180356,82210023,82285766,82609011,83283326,83429630,83675973,83747933,84590708,84815031,85179435,85219790,85726677,86238813,87206438,87274133,88201790,88361222,88369013,88531480,89307093,89789297,90419477,90858064,91182542,91999982,92373230,92948676,93200606,93386037,93729317,94123421,94778501,95099748,95789080,96436173,96648917,96680477,96943773,97869075,97970982,98343557,98385182,98982662,99129998,99303557,99597915,...,186953700418263138461889167703145374215636741254097783480759393498628732990191607505318696473401483397188638110837527872748086424721733703497561805073205686094100156346767169814966570801116286111931323904889294545612749939063869870044739186992129337171105350457442988927693356337852988548082127771730916919455899973914719957406425188910242479911113741130944735154780849716985898043666809540422333951787523531094928735824746539186138178815545888734771865719934503643256236487272724944732979576389964658910880214872930674461453154415757121446690238296581202169581352410101708458617103639576605816279590808824797451022395902987941439473319912536454922087401721866945794396445861819149358021312971645444600070166956196833074604921321764738859358966589088825316397527233297506621911874013727359707235721934097893419738765420158070587762613885312369670422788960316011223496100099824122906024557344522726435982320329784911096417399257128025542369913744827230422983984106375401031111996268018242237450476162997097235612586518523480616207114387215451402051745530802615426655524094611925301846089517202435094994881998396890840899812745679447455797683857079269055734653673076830381442603609957430486650833265456408840858197496340848351590006672814767537745981540384148125015115276142420554175993077836916443501469083467527226031377700472160644926492542882414043882326171158755379495791864287222544089811757099774086261693380357615902692909761167203162719468922062739418564741671974166541747544220901819963089566472517334471865308870673745042620416064690606041038419549942189145811529050637446361379628293825324638201748555279864792674780774751115298894152962239077065593139558431662088656295048161956771457843620363489356101697600683527595293513965491532138681672157782630135444720862002874558454502619203509422079275656462604250190451011011400287559576673404543336925794926166606810250503573405292793707403612984397610725901818616279811826355981324595905663435285198510086838292694899238044226571369292803492515687640431381695837057599284192155551063707458549581701633676905202112841312570910288863360333786951796856886048558080709084360036439714871770534322998192179099384750339972691632194609664935521483101873519656418805071712798497940239192093200430721672533339522224043823222670380756760064289169647562651730212112714919538547215024513115676766229861325659517866269811943410343385888517130228545218826469445650502243539985748163233153307558310742586155281273449830128426509271571022722497659466988429058377893449382479793581020265814471160734841048575968113511633710104941112036734888038684243014781304302285903016497561677924262847203450941143140980038933828401607201442865090675566424867546692640476499690281658424931046197247263419939810452317681084344671094533955609761177722988874967483470223146164204460789158315470168745850145317024065462911054520382604604014379242720537360652427639522423970510935470303122988764436025682422381267698058296541783963284648189636608361203700247021446377825945139409164016339722589591155706281967487912717883041340289881825981954554912506856599918179358232384807196194905539278210705781422931940826519535768277902369460664999385906775324891975068614267449105793687570977654288745670253967250094913048419687643988396665872036145463415250755989788960274076377134266089522816833419653825146792085144478701157948938497112781603166178920995294771464692605107445285326320567354575213302314204498316987828137670795771524099837699842975296988117242074411925609243435865400657738850673872870757425065784459582848411894754204202562656764666210903598708747554119968573892690344880850733042910327956015537059031252466248013119441772626590487050874415282934931292682301435502992392943509775666383322238070231688204227115205908962232969446525643825955298573229527973374246377683934119579839445629661891825535671002511624491234587111793046125500181857800027798713264718560161666511134358586433234061110688960159234014741993676478966256026917345658164064600583357762781418012581045753784775980153313038196732252843232210381510353472227161102322252282437039194522599917448430931469403130328258443790173083721739642999053742162950525247374850478250335029513702407885115430563052293193023425356877159744422181793986099615500286149186977963131115687303932947833477385206624479859668455493316787601265478673309692463686574500200571098418586812523100512243243889596505761902571174472795360253865903542675388190139997858230673812118579345872547654168013178377752133100007432205336479732097149140093683884986670016280099424886436248158261219390564342813431631859006802126973684859028234696233193416565398680355375555160100985889407573835166904879859778965940887845553687260532734460753049909168514810593327468653703661675719601848723906413846090339241248434250982818350192851384756056350317321462416614931101601400802044646092}
30404  964042460551482367461557440969690320763549867000903668551962299044805865246887252650890: {395083,668602,790114,1123579,1337116,1701896,1914633,2279325,2431280,2735190,2917536,2939779,3190845,3282228,3403568,3701602,3798625,3829014,4558350,4568203,4791034,4862240,4929283,5032954,5395714,5470020,5470363,5830723,5834688,6433564,6564024,6603874,6730363,7160476,7384527,7531016,7931002,8166043,8472393,9015394,9239779,9418483,10819834,11540602,12020794,12622843,12965404,13209645,13685779,14058754,14090288,14537602,14569579,15627763,15851574,15853114,15860956,16155883,16211554,17034643,17047354,17643874,17911603,18716602,18835714,19136323,19161608,19907002,21556809,21748843,22401634,23048553,23350114,23799964,24345163,25125754,25895179,26328189,26543674,28465579,28833916,29952489,30000043,30755336,31136002,31253434,31704124,32036923,32713579,33203685,33648008,33726403,33769533,33853756,33949954,34223609,34599753,35408683,35417264,35657725,35703994,35911963,36079579,36521314,37430716,37503245,37739685,37854009,37918603,37982696,38153602,38270074,38585179,39317602,39844422,40080763,40201825,40255664,40459845,42426364,42560443,42684154,42730533,42789270,42889843,43062393,43157168,43494754,43841914,44426921,45003894,45113602,45187579,45211593,45287622,45575554,45641888,45806434,46004779,46697116,46802685,46977749,48242190,48524853,48551814,48572002,48607723,48890870,49032034,49902283,49922864,50063779,50870179,50955656,51031243,51347124,51458336,51514003,52317163,53278579,53823325,54189754,54760834,55269608,55615053,56163222,56452253,56623123,57098323,57256579,57264789,57325113,57328636,57662445,57890628,58204603,58292602,58669044,59542114,59882554,61016314,61506608,62126803,62178309,62182245,62267836,62374714,62594443,62713954,63467030,63941129,63956602,64148563,64251453,64458523,64587990,64912233,65849779,66327728,66537813,66620179,67044153,67111070,67192924,67335802,68155579,68432485,68459002,68893856,69020002,69194934,69692674,69836203,69844100,70140802,70293043,70906917,71037417,71204779,71371834,71707234,72824194,73903496,74074843,74496634,74618694,74975779,75125683,75574963,75720802,76160436,76302076,76489825,77000764,77460573,77465045,77505588,78397276,78428685,78431485,79500806,80156002,80179579,80489884,80533284,81186844,81829677,82118982,82474234,83010873,83113579,83141433,83657264,83812920,83815445,83842579,84125794,85150243,85664002,86163283,86322274,87437685,87965434,88403002,89058874,89400448,89467003,89752483,89932474,90138045,90180163,90464923,90891523,91175563,91344470,91787790,92655874,92873314,92958054,93155779,93266864,94114422,94117782,94289535,94334853,94421323,95121883,95534582,95820643,96099643,96147248,96967893,97532794,97827484,97906976,98124008,98182963,98597683,99366754,99550409,99797602,...,280430550627394707692833751554718061323455111881146675221139090247943099485287411257978044710102225095782957166256291809122129637082600555246342707609808529141150234520150754722449856201674429167896985857333941818419124908595804805067108780488194005756658025686164483391540034506779482822123191657596375379183849960872079936109637783365363719866670611696417102732171274575478847065500214310633500927681285296642393103737119808779207268223318833102157798579901755464884354730909087417099469364584946988366320322309396011692179731623635682170035357444871803254372028615152562687925655459364908724419386213237196176533593854481912159209979868804682383131102582800418691594668792728724037031969457468166900105250434295249611907381982647108289038449883633237974596290849946259932867811020591039560853582901146840129608148130237105881643920827968554505634183440474016835244150149736184359036836016784089653973480494677366644626098885692038313554870617240845634475976159563101546667994402027363356175714244495645853418879777785220924310671580823177103077618296203923139983286141917887952769134275803652642492322997595336261349719118519171183696525785618903583601980509615245572163905414936145729976249898184613261287296244511272527385010009222151306618972310576222187522672914213630831263989616755374665252203625201290839047066550708240967389738814323621065823489256738133069243687796430833816134717635649661129392540070536423854039364641750804744079203383094109127847112507961249812621316331352729944634349708776001707797963306010617563930624097035909061557629324913283718717293575956169542069442440737986957302622832919797189012171162126672948341229443358615598389709337647493132984442572242935157186765430545234034152546401025291392940270948237298208022508236673945203167081293004311837681753928805264133118913484693906375285676516517100431339365010106815005388692389249910215375755360107939190561105419476596416088852727924419717739533971986893858495152927797765130257439042348857066339857053939205238773531460647072543755586398926288233326595561187824372552450515357803169261968856365433295040500680427695285329072837121063626540054659572307655801484497288268649077125509959037448291914497403282224652810279484628207607569197746910358788139800646082508800009283336065734834005571135140096433754471343977595318169072379307820822536769673515149344791988489276799404717915115515078832775695342817828239704168475753365309978622244849729961337466113879232921910174745192639763907356534083746489200482643587566840174073719690371530398721706741102261572863952170267450565157411668055102332058026364522171956453428854524746342516886394270805176411714711470058400742602410802164297636013349637301320038960714749535422487637396569295870895129909715678476521626517006641800933414641766584483312451225205334719246306691183737473205253118775217975536098194366581780573906906021568864080806040978641459283635955766403205454684483146654038523633571901547087444812675944926972284454912541805550370532169566738917709113746024509583884386733559422951231869076824562010434822738972931832368760284899877269037348577210794292358308917316058672134397911239779303652416853554190997499078860162987337962602921401173658690531356466481433118505380950875142369572629531465982594998808054218195122876133984683440411114565701399134284225250129480737720188127716718051736923407745669172404749268381492942157197038907661167927989480851031862819953471306747475481742206506193657286149756549764462945482175863111617888413865153798100986608276010809306136137598676689374272617842131306303843985146999316355398063121331179952860839035517321276099564365491934023305588546878699372019679162658939885730576311622924402396939023452153254488589415264663499574983357105347532306340672808863443349454169788465738932947859844291960061369566525901179369759168444492837738303506503767436736851880667689569188250272786700041698069897077840242499766701537879649851091666033440238851022112990514718449384040376018487246096900875036644172127018871568630677163970229969557295098379264848315572265530208340741653483378423655558791783899876172646397204104695492387665685259625582609464498580613244425787871062275717375502544270553611827673145844578439789535138035315739616633272690979149423250429223780466944696673530955899421750216077809936719789502683239975181401898218009964538695529861750300856647627880218784650768364865834394758642853856761709193040380798855314013082285209996787346010718177869018808821481252019767566628199650011148308004719598145723710140525827480005024420149137329654372237391829085846514220147447788510203190460527288542352044349790124848098020533063332740151478834111360752750357319789668448911331768330530890799101691129574863752772215889991202980555492513579402773085859620769135508861872651376474227525289277077134084525475982193624922396652402101203066969138}
30405  967018708798163200773449186232693849905566003774311627910910060856071911464369620619065: {60806,1002903,1185171,1489159,1671395,2005674,2127370,2552844,2978122,3039100,3646920,3890048,4102785,4254460,4376304,4923342,5105352,5552403,5743521,6077800,6589639,6837525,7186551,7293360,7549431,7779584,8041955,8093571,8205030,8752032,8950595,9413770,9650346,9846036,9905811,10740714,10962487,11296524,11896503,12329002,13523091,15689399,16206755,16229751,16766407,17310903,17612860,17688803,18031191,18159466,19448106,19617082,19826195,21088131,21135432,21151859,21806403,23682263,23777361,23779671,23791434,23952010,24242459,24317331,25521827,25571031,26465811,26910919,28074903,28253571,28611563,28742412,28772731,29442007,29749955,29860503,30731404,30990106,31131451,33234859,33602451,33655523,33927946,35025171,35104252,35223706,35699946,36042395,37688631,37762522,38444170,38596087,39630155,39815511,39936652,41148311,42044131,42060010,42317195,42667882,43250874,43682506,44271580,44586199,45026044,45490807,46133004,46606451,46704003,46788395,46880151,47478370,47556186,48360907,48692314,49577194,50319580,50472012,50780634,50924931,50972963,52683994,52822666,53032955,53125896,53555991,53818282,53946460,54667171,54781971,55968874,56059831,56146074,56974044,57052360,57230403,57321883,57405111,57416524,58036762,58315402,58371395,58976403,59363083,59766633,60005192,60282124,60383496,62009771,62403580,62947639,63456503,63639546,63694570,64026231,64183905,64322920,64665559,64699804,64735752,65242131,65402506,65436899,65762871,67505841,67670403,67931433,68363331,68402899,68462832,68709651,69066682,69087010,70045674,70288714,71086483,71660795,72363285,72827721,72858003,72915251,73014967,73200106,73336305,73548051,74153404,74884296,75236866,76353052,76398946,76433484,76883260,77020686,77187504,77302643,77834795,78225392,78669131,81284631,81404602,81608506,81784474,82141251,82786483,82904412,82909660,83991155,84128842,84244833,85075114,85197299,85668604,85858507,85992954,86117320,86549644,86835942,87305125,87438903,87459931,88003566,88182923,88717084,89313171,89392204,89823831,91524471,92064007,92259912,92379370,92513674,93079283,93401754,93424666,93562071,93600631,93924707,94070931,94542556,94716556,94726211,95200545,95377595,95877082,95934903,96250955,96487786,96655303,96881985,97996595,98049659,99491592,99628234,...,420645825941092061539250627332077091985182667821720012831708635371914649227931116886967067065153337643674435749384437713683194455623900832869514061414712793711725351780226132083674784302511643751845478786000912727628687362893707207600663170732291008634987038529246725087310051760169224233184787486394563068775774941308119904164456675048045579800005917544625654098256911863218270598250321465950251391521927944963589655605679713168810902334978249653236697869852633197326532096363631125649204046877420482549480483464094017538269597435453523255053036167307704881558042922728844031888483189047363086629079319855794264800390781722868238814969803207023574696653874200628037392003189093086055547954186202250350157875651442874417861072973970662433557674825449856961894436274919389899301716530886559341280374351720260194412222195355658822465881241952831758451275160711025252866225224604276538555254025176134480960220742016049966939148328538057470332305925861268451713964239344652320001991603041045034263571366743468780128319666677831386466007371234765654616427444305884709974929212876831929153701413705478963738484496393004392024578677778756775544788678428355375402970764422868358245858122404218594964374847276919891930944366766908791077515013833226959928458465864333281284009371320446246895984425133061997878305437801936258570599826062361451084608221485431598735233885107199603865531694646250724202076453474491694088810105804635781059046962626207116118805074641163691770668761941874718931974497029094916951524563164002561696944959015926345895936145553863592336443987369925578075940363934254313104163661106980435953934249379695783518256743190009422511844165037923397584564006471239699476663858364402735780148145817851051228819601537937089410406422355947312033762355010917804750621939506467756522630893207896199678370227040859562928514774775650647009047515160222508083038583874865323063633040161908785841658129214894624133279091886629576609300957980340787742729391696647695386158563523285599509785580908807858160297190970608815633379598389432349989893341781736558828675773036704753892953284548149942560751020641542927993609255681595439810081989358461483702226745932402973615688264938556172437871746104923336979215419226942311411353796620365538182209700969123763200013925004098602251008356702710144650631707015966392977253608568961731233805154510272724017187982733915199107076872673272618249163543014226742359556252713630047964967933367274594942006199170818849382865262117788959645861034801125619733800723965381350260261110579535557295598082560111653392359295928255401175847736117502082653498087039546783257934680143281787119513775329591406207764617572067205087601113903616203246446454020024455951980058441072124303133731456094853943806342694864573517714782439775509962701400121962649876724968676837808002078869460036775606209807879678162826963304147291549872670860860359032353296121209061467962188925453933649604808182026724719981057785450357852320631167219013917390458426682368812708325555798254350108376563670619036764375826580100339134426847803615236843015652234108459397748553140427349815903556022865816191438537463375974088008201596866859668955478625280331286496248618290244481006943904382101760488035797034699722149677758071426312713554358944297198973892498212081327292684314200977025160616671848552098701426337875194221106580282191575077077605385111618503758607123902572239413235795558361491751891984221276547794229930206960121213222613309759290485929224634824646694418223263794667426832620797730697151479912414016213959204206398015034061408926763196959455765977720498974533097094681996769929291258553275981914149346548237901034958382820318049058029518743988409828595864467434386603595408535178229881732884122896995249362475035658021298459511009213295165024181254682698608399421789766437940092054349788851769054638752666739256607455259755651155105277821001534353782375409180050062547104845616760363749650052306819474776637499050160358276533169485772077674076060564027730869145351312554966258190528307352946015745955344954335942647568897272473358398295312511112480225067635483338187675849814258969595806157043238581498527889438373914196747870919866638681806593413576063253816405830417741509718766867659684302707052973609424949909036468724134875643835670700417045010296433849132625324116714905079684254024859962772102847327014946808043294792625451284971441820328176976152547298751592137964280785142563789560571198282971019623427814995181019016077266803528213232221878029651349942299475016722462007079397218585565210788741220007536630223705994481558356087743628769771330221171682765304785690790932813528066524685187272147030799594999110227218251167041129125535979684502673366997652495796336198652536694362295629158323834986804470833238770369104159628789431153703263292808977064711341287933915615701126788213973290437383594978603151804600453707}
30406  970004092273215071678512551174404182746067015581133996306902136465589004365411192125310: {91209,516613,790166,1337204,1580228,1790473,2247158,2516809,2674232,3008511,3191055,3403792,3423109,3798875,3829266,4146853,4467183,4558650,4862560,5318075,5470380,5835072,5879558,6381690,6564456,6807136,7385013,7403204,7597250,7658028,8106853,8823109,9116700,9136406,9538213,9582068,9724480,9858566,10065908,10430473,10786873,10791428,10940040,10940726,11661446,11669376,12307545,12867128,13128048,13207748,13460726,14120655,14320952,14335033,14475519,14769054,15062032,15862004,16111071,16332086,16944786,16977253,17503753,18030788,18379813,18479558,18493503,18836966,19254073,19428709,20300809,21639668,22016075,22039609,22906309,23081204,24041588,24806713,25245686,25930808,26419290,27239199,27371558,28068709,28117508,28180576,28752133,28922809,29075204,29139158,29172159,29425623,29945353,31255526,31703148,31706228,31721912,32311766,32321209,32423108,32490373,34009609,34069286,34094708,35287748,35687151,35823206,35928015,36696073,37197733,37364809,37433204,37671428,38272646,38323216,38414255,39814004,39862309,41353033,43113618,43497686,43880315,44803268,46097106,46443109,46485159,46700228,47599928,48690326,49043173,49920815,50251508,50891919,51142153,51790358,52504543,52656378,52748473,52835559,53087348,53549919,53868613,54347593,54507109,55339475,56098309,56282555,56643783,56732773,56891209,56931158,57666255,57667832,59101753,59416393,59904978,60000086,60201733,61510672,62272004,62464919,62506868,62899475,63090015,63169609,63408248,64001823,64073846,64566373,64875973,64876311,65427158,65523759,66407370,66716299,67296016,67433075,67452806,67539066,67707512,67802809,67899908,68447218,68721673,69199506,70817366,70834528,71217555,71315450,71334279,71407988,71765833,71770655,71823926,72159158,73038471,73042628,73126309,73729093,73879609,74365791,74861432,75006490,75352655,75479370,75708018,75837206,75965392,76128709,76170951,76307204,76540148,77023813,77170358,78004475,78635204,79025991,79233999,79250233,79688844,79693573,80161526,80403650,80431033,80511328,80727423,80874755,80919690,81166693,81460453,82193593,83953311,84219111,84852728,85120886,85368308,85461066,85578540,85779686,86124786,86265913,86314336,86989508,87055143,87275173,87473103,87683828,88853842,89425993,90007788,90139333,90227204,90375158,90423186,90566473,90575244,91151108,91283776,91560613,91612868,92009558,92127109,92691755,93394232,93605370,93955498,94802233,95441315,95459319,95501893,95541855,95805479,96104075,96339109,96484380,97034809,97049706,97103628,97144004,97215446,97781740,98064068,98103759,98282533,99248953,99804566,99845728,...,560861101254789415385667503109436122646910223762293350442278180495886198970574822515956089420204450191565914332512583618244259274165201110492685415219617058282300469040301509444899712403348858335793971714667883636838249817191609610134217560976388011513316051372328966783080069013558965644246383315192750758367699921744159872219275566730727439733341223392834205464342549150957694131000428621267001855362570593284786207474239617558414536446637666204315597159803510929768709461818174834198938729169893976732640644618792023384359463247271364340070714889743606508744057230305125375851310918729817448838772426474392353067187708963824318419959737609364766262205165600837383189337585457448074063938914936333800210500868590499223814763965294216578076899767266475949192581699892519865735622041182079121707165802293680259216296260474211763287841655937109011268366880948033670488300299472368718073672033568179307946960989354733289252197771384076627109741234481691268951952319126203093335988804054726712351428488991291706837759555570441848621343161646354206155236592407846279966572283835775905538268551607305284984645995190672522699438237038342367393051571237807167203961019230491144327810829872291459952499796369226522574592489022545054770020018444302613237944621152444375045345828427261662527979233510749330504407250402581678094133101416481934779477628647242131646978513476266138487375592861667632269435271299322258785080141072847708078729283501609488158406766188218255694225015922499625242632662705459889268699417552003415595926612021235127861248194071818123115258649826567437434587151912339084138884881475973914605245665839594378024342324253345896682458886717231196779418675294986265968885144485870314373530861090468068305092802050582785880541896474596416045016473347890406334162586008623675363507857610528266237826969387812750571353033034200862678730020213630010777384778499820430751510720215878381122210838953192832177705455848839435479067943973787716990305855595530260514878084697714132679714107878410477547062921294145087511172797852576466653191122375648745104901030715606338523937712730866590081001360855390570658145674242127253080109319144615311602968994576537298154251019918074896583828994806564449305620558969256415215138395493820717576279601292165017600018566672131469668011142270280192867508942687955190636338144758615641645073539347030298689583976978553598809435830231030157665551390685635656479408336951506730619957244489699459922674932227758465843820349490385279527814713068167492978400965287175133680348147439380743060797443413482204523145727904340534901130314823336110204664116052729044343912906857709049492685033772788541610352823429422940116801485204821604328595272026699274602640077921429499070844975274793138591741790259819431356953043253034013283601866829283533168966624902450410669438492613382367474946410506237550435951072196388733163561147813812043137728161612081957282918567271911532806410909368966293308077047267143803094174889625351889853944568909825083611100741064339133477835418227492049019167768773467118845902463738153649124020869645477945863664737520569799754538074697154421588584716617834632117344268795822479558607304833707108381994998157720325974675925205842802347317381062712932962866237010761901750284739145259062931965189997616108436390245752267969366880822229131402798268568450500258961475440376255433436103473846815491338344809498536762985884314394077815322335855978961702063725639906942613494950963484413012387314572299513099528925890964351726223235776827730307596201973216552021618612272275197353378748545235684262612607687970293998632710796126242662359905721678071034642552199128730983868046611177093757398744039358325317879771461152623245848804793878046904306508977178830529326999149966714210695064612681345617726886698908339576931477865895719688583920122739133051802358739518336888985675476607013007534873473703761335379138376500545573400083396139794155680484999533403075759299702183332066880477702044225981029436898768080752036974492193801750073288344254037743137261354327940459939114590196758529696631144531060416681483306966756847311117583567799752345292794408209390984775331370519251165218928997161226488851575742124551434751005088541107223655346291689156879579070276070631479233266545381958298846500858447560933889393347061911798843500432155619873439579005366479950362803796436019929077391059723500601713295255760437569301536729731668789517285707713523418386080761597710628026164570419993574692021436355738037617642962504039535133256399300022296616009439196291447420281051654960010048840298274659308744474783658171693028440294895577020406380921054577084704088699580249696196041066126665480302957668222721505500714639579336897822663536661061781598203382259149727505544431779982405961110985027158805546171719241538271017723745302752948455050578554154268169050951964387249844793304804202406133938276}
30407  972998638853565563007214370596507070254523800097481238453487022453270546008530523419756: {121612,1185249,1671505,1975285,2005806,2339953,2370342,2978318,3342790,3370737,4011348,4254740,5105688,5743899,5956244,6078200,6837975,7293840,7780096,8205570,8508920,8752608,8819337,9254005,9572535,9687073,9846684,10210704,11104806,11258737,11395875,11487042,11873497,11977585,12155600,12530833,12582385,13179278,13489285,13675050,13704609,14373102,14586720,14787849,15098862,15559168,16083910,16187142,16410060,16411089,16509685,17492169,17504064,17901190,18542017,18827540,19300692,19692072,19811622,19827505,20191089,20904949,21481428,21924974,22153581,22183657,22538485,22593048,22689457,23640313,23793006,24349369,24498129,24658004,25417179,25825297,27046182,27049585,27094513,27281953,27675769,27719337,27756673,27988129,28255449,28851505,29670553,30007249,30051985,31378798,32413510,32459502,32555893,33532814,34321969,34537897,34621806,35146885,35225720,35377606,36062382,36318932,36344005,36595033,37868529,38896212,39234164,39628935,39632785,39652390,39774709,40528885,41057337,41649937,42176262,42270864,42285793,42303718,42543169,42618385,42763177,43612806,43708737,44109685,45600313,46791505,46883289,47089285,47364526,47554722,47559342,47582868,47904020,48467649,48484918,48634662,49501129,49767505,49820689,49953157,50459353,51043654,51103929,51142062,51875809,52731697,52931622,53459449,53734809,53821838,55482217,56004085,56149806,56507142,57223126,57408969,57484824,57514369,57545462,58375285,58424713,58884014,59244073,59499910,59721006,61462808,61980212,62262902,62402113,62814385,64120969,64670427,65246529,65503753,65870149,66101233,66359185,66469718,66961417,67204902,67311046,67386793,67855892,69145659,70050342,70208504,70447412,70459237,71399892,72084790,73035489,73312633,74246137,74994049,75331993,75377262,75494737,75525044,76600453,76888340,77192174,77334517,77685537,77840005,77943889,78133585,78674329,78984567,79260310,79631022,79873304,81719953,82296622,84088262,84120020,84634390,84874885,85202953,85335764,85396737,85803097,86501748,87174769,87365012,88543160,89172398,89259985,89857467,90000129,90052088,90666949,90981614,91152289,91303285,91357669,91772593,91932073,92266008,92484529,93212902,93408006,93576790,93741769,93760302,93930913,94956740,95112372,95384005,95392657,95675185,95680309,96110769,96721814,97021969,97384628,97937269,98140737,98294005,99076357,99154388,99611055,...,841291651882184123078501254664154183970365335643440025663417270743829298455862233773934134130306675287348871498768875427366388911247801665739028122829425587423450703560452264167349568605023287503690957572001825455257374725787414415201326341464582017269974077058493450174620103520338448466369574972789126137551549882616239808328913350096091159600011835089251308196513823726436541196500642931900502783043855889927179311211359426337621804669956499306473395739705266394653064192727262251298408093754840965098960966928188035076539194870907046510106072334615409763116085845457688063776966378094726173258158639711588529600781563445736477629939606414047149393307748401256074784006378186172111095908372404500700315751302885748835722145947941324867115349650899713923788872549838779798603433061773118682560748703440520388824444390711317644931762483905663516902550321422050505732450449208553077110508050352268961920441484032099933878296657076114940664611851722536903427928478689304640003983206082090068527142733486937560256639333355662772932014742469531309232854888611769419949858425753663858307402827410957927476968992786008784049157355557513551089577356856710750805941528845736716491716244808437189928749694553839783861888733533817582155030027666453919856916931728666562568018742640892493791968850266123995756610875603872517141199652124722902169216442970863197470467770214399207731063389292501448404152906948983388177620211609271562118093925252414232237610149282327383541337523883749437863948994058189833903049126328005123393889918031852691791872291107727184672887974739851156151880727868508626208327322213960871907868498759391567036513486380018845023688330075846795169128012942479398953327716728805471560296291635702102457639203075874178820812844711894624067524710021835609501243879012935513045261786415792399356740454081719125857029549551301294018095030320445016166077167749730646127266080323817571683316258429789248266558183773259153218601915960681575485458783393295390772317127046571199019571161817615716320594381941217631266759196778864699979786683563473117657351546073409507785906569096299885121502041283085855987218511363190879620163978716922967404453491864805947231376529877112344875743492209846673958430838453884622822707593240731076364419401938247526400027850008197204502016713405420289301263414031932785954507217137923462467610309020545448034375965467830398214153745346545236498327086028453484719112505427260095929935866734549189884012398341637698765730524235577919291722069602251239467601447930762700520522221159071114591196165120223306784718591856510802351695472235004165306996174079093566515869360286563574239027550659182812415529235144134410175202227807232406492892908040048911903960116882144248606267462912189707887612685389729147035429564879551019925402800243925299753449937353675616004157738920073551212419615759356325653926608294583099745341721720718064706592242418122935924377850907867299209616364053449439962115570900715704641262334438027834780916853364737625416651111596508700216753127341238073528751653160200678268853695607230473686031304468216918795497106280854699631807112045731632382877074926751948176016403193733719337910957250560662572992497236580488962013887808764203520976071594069399444299355516142852625427108717888594397947784996424162654585368628401954050321233343697104197402852675750388442213160564383150154155210770223237007517214247805144478826471591116722983503783968442553095588459860413920242426445226619518580971858449269649293388836446527589334853665241595461394302959824828032427918408412796030068122817853526393918911531955440997949066194189363993539858582517106551963828298693096475802069916765640636098116059037487976819657191728934868773207190817070356459763465768245793990498724950071316042596919022018426590330048362509365397216798843579532875880184108699577703538109277505333478513214910519511302310210555642003068707564750818360100125094209691233520727499300104613638949553274998100320716553066338971544155348152121128055461738290702625109932516381056614705892031491910689908671885295137794544946716796590625022224960450135270966676375351699628517939191612314086477162997055778876747828393495741839733277363613186827152126507632811660835483019437533735319368605414105947218849899818072937448269751287671341400834090020592867698265250648233429810159368508049719925544205694654029893616086589585250902569942883640656353952305094597503184275928561570285127579121142396565942039246855629990362038032154533607056426464443756059302699884598950033444924014158794437171130421577482440015073260447411988963116712175487257539542660442343365530609571381581865627056133049370374544294061599189998220454436502334082258251071959369005346733995304991592672397305073388724591258316647669973608941666477540738208319257578862307406526585617954129422682575867831231402253576427946580874767189957206303609200907414}
30408  976002376500717586110013981756557530900245272169692797271515140488150991427165626524563: {152015,182418,516647,577391,1033226,1245047,1580332,1851167,2032847,2674408,2698391,3008709,3061007,3160456,3555513,3580946,4147127,4207391,4467477,4494316,4508591,5014185,5033618,5050247,5318425,5348464,5951567,6017022,6371567,6382110,6807584,6846218,6851087,7210391,7445305,7597750,7658532,8107391,8167127,8293706,8934366,9117300,9360167,9538847,9725120,10133927,10490591,10636150,10940760,11380991,11670144,11759116,11914367,12308355,12565391,12763380,13128912,13451591,13614272,13805567,14571527,14689247,14770026,14806408,15194500,15316056,16158047,16213706,16627007,16657209,17036927,17230563,17646218,18233400,18272812,18439391,19076426,19164136,19255367,19448960,19717132,19768917,20131816,20512575,20534447,20860946,21559653,21573746,21582856,21880080,21881452,21925391,22648293,23322892,23338752,23534425,23599967,23945591,24125865,24280713,24290927,24463487,24615090,24808391,25734256,25898687,26013287,26256096,26415496,26757407,26851785,26921452,28241310,28583327,28641904,28670066,28951038,29322767,29538108,29663591,29717433,29947391,30004127,30124064,30822505,31137167,31363391,31724008,32154167,32222142,32664172,32887461,33889572,33954506,34685327,35007506,35077607,35525447,35689509,35860991,36061576,36759626,36959116,36987006,37200287,37255991,37673932,38035007,38508146,38857418,40086287,40569273,40583591,40601618,41410991,41906567,42236591,42840887,43005527,43279336,43334591,44032150,44079218,44702591,45302927,45398665,45812618,46120007,46162408,46609391,47068197,47098127,47640407,48083176,48620265,48689253,48722567,49042705,49370327,49613426,50070767,50299221,50393591,50491372,50877287,51145727,51199391,51521207,51789167,51861616,51932709,52838580,53066409,53125967,53286047,53392727,53779957,54093573,54478398,54743116,54989087,56137418,56235016,56260991,56361152,56736767,56789591,57504266,57845618,58150408,58278316,58344318,58851246,59158391,59420591,59478585,59734967,59880025,59890706,60205991,60258287,61432441,61510991,62239607,62511052,63264393,63406296,63412456,63443824,63455577,64570967,64623532,64642418,64846216,64880591,64932167,64980746,65419209,65653391,65962007,66116207,66629687,66732287,66937391,67500767,68019218,68138572,68189416,68267447,68420567,68930447,69813733,69889141,70575496,71046789,71215007,71332083,71339013,71374302,71646412,71856030,72073847,72527591,72727377,72729047,72951993,73392146,73734407,73784591,73822177,74085527,74395466,74729618,74866408,74986607,75086567,75286391,75342856,76545292,76565481,76646432,76713093,76731287,76828510,77079047,77227967,77475265,78713207,78795577,79255991,79397433,79628008,79724618,80436887,80732757,81515327,82199591,82248407,82492367,82706066,83223047,84145991,84224709,84760713,84819865,84872591,85549127,85834689,86227236,86272247,86318193,86320391,86995372,87473447,87760630,87760991,88059265,88326021,89249865,89432591,89480207,89581509,89606536,90193487,90573167,91614647,92194212,92886218,92970318,92981591,93169607,93263567,93394353,93400456,94406305,94575647,94809287,94855991,95199856,95275967,95555591,96110425,96671207,97227287,97380652,98086346,98151527,98289887,98612447,98750567,99026591,99440087,99704577,99715391,99841630,...,1261937477823276184617751881996231275955548003465160038495125906115743947683793350660901201195460012931023307248153313141049583366871702498608542184244138381135176055340678396251024352907534931255536436358002738182886062088681121622801989512196873025904961115587740175261930155280507672699554362459183689206327324823924359712493370025144136739400017752633876962294770735589654811794750964397850754174565783834890768966817039139506432707004934748959710093609557899591979596289090893376947612140632261447648441450392282052614808792306360569765159108501923114644674128768186532095665449567142089259887237959567382794401172345168604716444909409621070724089961622601884112176009567279258166643862558606751050473626954328623253583218921911987300673024476349570885683308824758169697905149592659678023841123055160780583236666586066976467397643725858495275353825482133075758598675673812829615665762075528403442880662226048149900817444985614172410996917777583805355141892718033956960005974809123135102790714100230406340384959000033494159398022113704296963849282332917654129924787638630495787461104241116436891215453489179013176073736033336270326634366035285066126208912293268605074737574367212655784893124541830759675792833100300726373232545041499680879785375397592999843852028113961338740687953275399185993634916313405808775711799478187084353253824664456294796205701655321598811596595083938752172606229360423475082266430317413907343177140887878621348356415223923491075312006285825624156795923491087284750854573689492007685090834877047779037687808436661590777009331962109776734227821091802762939312490983320941307861802748139087350554770229570028267535532495113770192753692019413719098429991575093208207340444437453553153686458804613811268231219267067841936101287065032753414251865818519403269567892679623688599035110681122578688785544324326951941027142545480667524249115751624595969190899120485726357524974387644683872399837275659888729827902873941022363228188175089943086158475690569856798529356742726423574480891572911826446900138795168297049969680025345209676486027319110114261678859853644449827682253061924628783980827767044786319430245968075384451106680237797208920847064794815668517313615238314770010937646257680826934234061389861096614546629102907371289600041775012295806753025070108130433951895121047899178931760825706885193701415463530818172051563948201745597321230618019817854747490629042680227078668758140890143894903800101823784826018597512456548148595786353366878937583104403376859201402171896144050780783331738606671886794247680334960177077887784766203527543208352506247960494261118640349773804040429845361358541325988774218623293852716201615262803341710848609739339362060073367855940175323216372909401194368284561831419028084593720553144347319326529888104200365887949630174906030513424006236608380110326818629423639034488480889912441874649618012582581077097059888363627184403886566776361800948814424546080174159943173356351073556961893501657041752171375280047106438124976667394763050325129691011857110293127479740301017403280543410845710529046956702325378193245659421282049447710668068597448574315612390127922264024604790600579006866435875840993859488745854870733443020831713146305281464107391104099166449033274214278938140663076832891596921677494636243981878052942602931075481850015545656296104279013625582663319740846574725231232816155334855511275821371707716718239707386675084475255675952663829643382689790620880363639667839929277871457787673904473940083254669791384002280497862393192091454439737242048641877612619194045102184226780289590878367297933161496923599291284045990309787873775659827945742448039644713703104875148460954147174088556231965229485787593402303159810786225605534689645198652368690985748087425106974063895378533027639885495072543764048095825198265369299313820276163049366555307163916258000217769822365779266953465315833463004603061347126227540150187641314536850281091248950156920458424329912497150481074829599508457316233022228181692083192607436053937664898774571584922058838047237866034863007827942706691817420075194885937533337440675202906450014563027549442776908787418471129715744495583668315121742590243612759599916045419780240728189761449217491253224529156300602979052908121158920828274849727109406172404626931507012101251135030889301547397875972350144715239052762074579888316308541981044840424129884377876353854914325460984530928457641896254776413892842355427691368681713594848913058870283444985543057048231800410584639696665634088954049826898425050167386021238191655756695632366223660022609890671117983444675068263230886309313990663515048295914357072372798440584199574055561816441092398784997330681654753501123387376607939053508020100992957487389008595957610083086886887474971504960413412499716311107312478886368293461109789878426931194134023863801746847103380364641919871312150784935809455413801361121}
30409  979015333261004482870299308581254058959027412505314385282725636743258446449215136167392: {243224,273627,1549839,1975415,2340107,2370498,2765399,3343010,3950570,4011612,4679906,4740684,5371419,5617895,5956636,6685580,6741474,7550427,8022696,8509480,9025533,9573165,10211376,10269327,10355147,11396625,11448359,11487798,11912488,12156400,12440559,12955607,13270379,13401549,13675950,14587680,14698895,15560192,15954225,16411140,16768619,17017840,17505216,17615339,17638674,18508010,18884999,18993125,19145070,19374146,19693368,20421408,22155039,22209612,22517474,22791750,22841015,22974084,23113559,23746994,23955170,24311200,24320559,24646415,24793499,25061666,25164770,26347211,26358556,26469327,26978570,27350100,27351815,27409218,27758507,28614639,28746204,28776527,29153615,29163467,29173440,29575698,30197724,31118336,31291419,31553879,32167820,32360619,32374284,32707727,32820120,32822178,33019370,33651815,34801127,34984338,35008128,35065199,35802380,36922635,37084034,37625879,37655080,37869419,38601179,38601384,39384144,39623244,39655010,40382178,40392107,40562327,40710359,40830215,40900331,41809898,42072779,42288587,42361965,42962856,43005099,43426557,43849948,44307162,44367314,45076970,45186096,45378914,46198895,46266011,46721579,47092415,47280626,47586012,47794139,48333213,48698738,48996258,49205639,49316008,49974119,50834358,50881607,50895527,50931759,51650594,52226207,52511259,53634311,53891279,54092364,54099170,54189026,54563906,55067819,55139439,55351538,55438674,55453451,55480509,55485899,55513346,55829999,55976258,56067227,56510898,56740439,57703010,57762219,58286127,58898159,59341106,59455559,59665739,60014498,60103970,60902427,61274699,61753559,62757596,63114215,64159919,64827020,64919004,65111786,65508107,65924999,66048225,66118827,66173279,66705707,67065628,67971527,68428895,68643938,68718927,69075794,69083327,69243612,69674507,70064027,70293770,70451440,70755212,71487839,72124764,72637864,72688010,72847895,73190066,74420139,75314651,75737058,75779327,75797807,75995711,76888859,77628647,77792424,78119639,78138815,78405719,78468328,78748559,79257870,79265570,79304780,79549418,80779415,81057770,81717597,81725399,82114674,83299874,84206127,84352524,84541728,84571586,84607436,85086338,85173215,85236770,85526354,85612271,86256399,86768427,87225612,87417474,87516477,87940139,88219370,88276869,88386539,88546439,89028719,89558015,89836059,91200626,92902859,92959247,93583010,93766578,94178570,94729052,95089727,95109444,95118684,95165736,95681615,95686631,95808040,95897579,96935298,96963627,96969836,97269324,97471119,99002258,99535010,99641378,99906314,...,1682583303764368246157002509328308367940730671286880051326834541487658596911724467547868268260613350574697742997537750854732777822495603331478056245658851174846901407120904528334699137210046575007381915144003650910514749451574828830402652682929164034539948154116986900349240207040676896932739149945578252275103099765232479616657826700192182319200023670178502616393027647452873082393001285863801005566087711779854358622422718852675243609339912998612946791479410532789306128385454524502596816187509681930197921933856376070153078389741814093020212144669230819526232171690915376127553932756189452346516317279423177059201563126891472955259879212828094298786615496802512149568012756372344222191816744809001400631502605771497671444291895882649734230699301799427847577745099677559597206866123546237365121497406881040777648888781422635289863524967811327033805100642844101011464900898417106154221016100704537923840882968064199867756593314152229881329223703445073806855856957378609280007966412164180137054285466973875120513278666711325545864029484939062618465709777223538839899716851507327716614805654821915854953937985572017568098314711115027102179154713713421501611883057691473432983432489616874379857499389107679567723777467067635164310060055332907839713833863457333125136037485281784987583937700532247991513221751207745034282399304249445804338432885941726394940935540428798415462126778585002896808305813897966776355240423218543124236187850504828464475220298564654767082675047767498875727897988116379667806098252656010246787779836063705383583744582215454369345775949479702312303761455737017252416654644427921743815736997518783134073026972760037690047376660151693590338256025884958797906655433457610943120592583271404204915278406151748357641625689423789248135049420043671219002487758025871026090523572831584798713480908163438251714059099102602588036190060640890032332154335499461292254532160647635143366632516859578496533116367546518306437203831921363150970917566786590781544634254093142398039142323635231432641188763882435262533518393557729399959573367126946235314703092146819015571813138192599770243004082566171711974437022726381759240327957433845934808906983729611894462753059754224689751486984419693347916861676907769245645415186481462152728838803876495052800055700016394409004033426810840578602526828063865571909014434275846924935220618041090896068751930935660796428307490693090472996654172056906969438225010854520191859871733469098379768024796683275397531461048471155838583444139204502478935202895861525401041044442318142229182392330240446613569437183713021604703390944470008330613992348158187133031738720573127148478055101318365624831058470288268820350404455614464812985785816080097823807920233764288497212534925824379415775225370779458294070859129759102039850805600487850599506899874707351232008315477840147102424839231518712651307853216589166199490683443441436129413184484836245871848755701815734598419232728106898879924231141801431409282524668876055669561833706729475250833302223193017400433506254682476147057503306320401356537707391214460947372062608936433837590994212561709399263614224091463264765754149853503896352032806387467438675821914501121325145984994473160977924027775617528407041952143188138798888598711032285705250854217435777188795895569992848325309170737256803908100642466687394208394805705351500776884426321128766300308310421540446474015034428495610288957652943182233445967007567936885106191176919720827840484852890453239037161943716898539298586777672893055178669707330483190922788605919649656064855836816825592060136245635707052787837823063910881995898132388378727987079717165034213103927656597386192951604139833531281272196232118074975953639314383457869737546414381634140712919526931536491587980997449900142632085193838044036853180660096725018730794433597687159065751760368217399155407076218555010666957026429821039022604620421111284006137415129501636720200250188419382467041454998600209227277899106549996200641433106132677943088310696304242256110923476581405250219865032762113229411784062983821379817343770590275589089893433593181250044449920900270541933352750703399257035878383224628172954325994111557753495656786991483679466554727226373654304253015265623321670966038875067470638737210828211894437699799636145874896539502575342682801668180041185735396530501296466859620318737016099439851088411389308059787232173179170501805139885767281312707904610189195006368551857123140570255158242284793131884078493711259980724076064309067214112852928887512118605399769197900066889848028317588874342260843154964880030146520894823977926233424350974515079085320884686731061219142763163731254112266098740749088588123198379996440908873004668164516502143918738010693467990609983185344794610146777449182516633295339947217883332955081476416638515157724614813053171235908258845365151735662462804507152855893161749534379914412607218401814828}
30410  982037537265845892703648051192298081918090791312021615029998426854575537144255918778392: {212821,304030,364836,577429,1033294,1154782,1305781,2066452,2490094,2940361,3121621,3160664,3555747,3702334,4065694,4207669,4569109,4749721,5014515,5348816,5396782,5925855,6011989,6017418,6122014,6320912,6731701,6911449,7019859,7111026,7161892,7270729,7445795,8167669,8294254,8346841,8356975,8414782,8934954,8988632,9017182,9241621,9420361,10028370,10067236,10100494,10112211,10423427,10636850,10696928,11903134,11915161,12034044,12625369,12743134,12764220,13615168,13692436,13702174,13865461,14420782,14890610,15195500,15317064,16214782,16334254,16335061,16587412,17213641,17231697,17868732,18090421,18234600,18720334,19077694,19450240,20267854,20513925,20981182,21272300,21579541,21881520,21926869,22761982,22793929,23340288,23518232,23828734,24004789,24350101,24522649,24616710,25130782,25526760,26072341,26257824,26458011,26903182,27228544,27611134,27616201,27762015,28471381,28717605,29061219,29143054,29378494,29540052,29612816,29665609,30006169,30389000,30632112,31195861,32316094,32427412,32889301,32948195,33254014,33314418,33776211,34073854,34187625,34461126,35080009,35292436,35620491,35919349,35932755,36087001,36466800,36545624,36878782,37258549,37592499,37747155,38152852,38328272,38510734,38897920,39434264,39537834,40209775,40263632,40467855,41025150,41068894,41113827,41721892,42898741,43063369,43119306,43147492,43151507,43165712,43760160,43762904,43850782,44213749,44363547,44541781,44752975,45196981,45296586,46014361,46645784,46666969,46677504,47068850,47199934,47643721,47891182,48251730,48561426,48581854,48779989,48926974,49230180,49233267,49427701,49529055,49616782,49912729,50074261,50235721,51041941,51202969,51468512,51797374,52026574,52328149,52476507,52512192,52830992,53129689,53449801,53514814,53703570,53842904,54812435,55046041,55626051,56482620,56793589,57166654,57268681,57283808,57340132,57902076,58645534,59076216,59327182,59434866,59482515,59791561,59894782,60008254,60248128,60262549,60573267,61645010,62274334,62714847,62726782,63448016,63558131,64308334,64317301,64444284,64936789,65328344,65709529,65774922,66460743,66550971,66788341,67615455,67779144,67909012,68068371,68659787,68935381,69370654,70015012,70155214,70920939,71050894,71379018,71721982,72123152,72129481,72734281,73048107,73488661,73494387,73519252,73789909,73918232,73974012,74090869,74241241,74400574,74511982,75141961,75291829,75347864,76070014,76251537,77016292,77475891,77714836,78446995,80172574,81033775,81080521,81138546,81148755,81167182,81203236,81283539,81845859,82254409,82507139,82821982,83027307,83158011,83270019,83423689,83813134,83832035,83964387,84473182,84766347,85681774,86011054,86326729,86554515,86558672,86669182,87244391,88064300,88158436,88444015,89011659,89405182,89486809,89629621,89915029,90021747,90155955,90484981,90605854,90797330,91625236,92240014,92324816,93176521,93218782,93317461,94136394,94196254,94582681,94863049,95280814,95283061,95842069,96166352,97240530,97378506,97445134,97667679,98085410,98205001,98740654,98757961,99034009,99130975,99226852,99447541,...,2523874955646552369235503763992462551911096006930320076990251812231487895367586701321802402390920025862046614496306626282099166733743404997217084368488276762270352110681356792502048705815069862511072872716005476365772124177362243245603979024393746051809922231175480350523860310561015345399108724918367378412654649647848719424986740050288273478800035505267753924589541471179309623589501928795701508349131567669781537933634078279012865414009869497919420187219115799183959192578181786753895224281264522895296882900784564105229617584612721139530318217003846229289348257536373064191330899134284178519774475919134765588802344690337209432889818819242141448179923245203768224352019134558516333287725117213502100947253908657246507166437843823974601346048952699141771366617649516339395810299185319356047682246110321561166473333172133952934795287451716990550707650964266151517197351347625659231331524151056806885761324452096299801634889971228344821993835555167610710283785436067913920011949618246270205581428200460812680769918000066988318796044227408593927698564665835308259849575277260991574922208482232873782430906978358026352147472066672540653268732070570132252417824586537210149475148734425311569786249083661519351585666200601452746465090082999361759570750795185999687704056227922677481375906550798371987269832626811617551423598956374168706507649328912589592411403310643197623193190167877504345212458720846950164532860634827814686354281775757242696712830447846982150624012571651248313591846982174569501709147378984015370181669754095558075375616873323181554018663924219553468455642183605525878624981966641882615723605496278174701109540459140056535071064990227540385507384038827438196859983150186416414680888874907106307372917609227622536462438534135683872202574130065506828503731637038806539135785359247377198070221362245157377571088648653903882054285090961335048498231503249191938381798240971452715049948775289367744799674551319777459655805747882044726456376350179886172316951381139713597058713485452847148961783145823652893800277590336594099939360050690419352972054638220228523357719707288899655364506123849257567961655534089572638860491936150768902213360475594417841694129589631337034627230476629540021875292515361653868468122779722193229093258205814742579200083550024591613506050140216260867903790242095798357863521651413770387402830927061636344103127896403491194642461236039635709494981258085360454157337516281780287789807600203647569652037195024913096297191572706733757875166208806753718402804343792288101561566663477213343773588495360669920354155775569532407055086416705012495920988522237280699547608080859690722717082651977548437246587705432403230525606683421697219478678724120146735711880350646432745818802388736569123662838056169187441106288694638653059776208400731775899260349812061026848012473216760220653637258847278068976961779824883749299236025165162154194119776727254368807773133552723601897628849092160348319886346712702147113923787003314083504342750560094212876249953334789526100650259382023714220586254959480602034806561086821691421058093913404650756386491318842564098895421336137194897148631224780255844528049209581201158013732871751681987718977491709741466886041663426292610562928214782208198332898066548428557876281326153665783193843354989272487963756105885205862150963700031091312592208558027251165326639481693149450462465632310669711022551642743415433436479414773350168950511351905327659286765379581241760727279335679858555742915575347808947880166509339582768004560995724786384182908879474484097283755225238388090204368453560579181756734595866322993847198582568091980619575747551319655891484896079289427406209750296921908294348177112463930458971575186804606319621572451211069379290397304737381971496174850213948127790757066055279770990145087528096191650396530738598627640552326098733110614327832516000435539644731558533906930631666926009206122694252455080300375282629073700562182497900313840916848659824994300962149659199016914632466044456363384166385214872107875329797549143169844117676094475732069726015655885413383634840150389771875066674881350405812900029126055098885553817574836942259431488991167336630243485180487225519199832090839560481456379522898434982506449058312601205958105816242317841656549699454218812344809253863014024202502270061778603094795751944700289430478105524149159776632617083962089680848259768755752707709828650921969061856915283792509552827785684710855382737363427189697826117740566889971086114096463600821169279393331268177908099653796850100334772042476383311513391264732447320045219781342235966889350136526461772618627981327030096591828714144745596881168399148111123632882184797569994661363309507002246774753215878107016040201985914974778017191915220166173773774949943009920826824999432622214624957772736586922219579756853862388268047727603493694206760729283839742624301569871618910827602722242}
30411  985069016732004386824078008138680635884500849565823037313345911968514399381618714483644: {456045,486448,547254,1549941,1732173,2583065,2765581,3099678,3677069,3735141,3950830,4680214,4740996,5530798,5553501,6098541,6686020,7865053,7901140,8023224,8095173,8952365,9026127,9183021,9359812,9481368,10666539,10742838,11235790,11913272,12237901,12441381,12584045,12622173,13371160,13402431,13482948,13525773,15042555,15100854,15150741,15955275,16045392,17018960,17115545,17692301,17854701,18051066,18994375,19114701,19146330,19691309,20422752,20538654,20553261,20578453,20710294,20734265,21631173,22335915,22793250,22896718,22975596,23824976,24247253,24312800,24322173,24501381,24881118,25911214,26540758,26590375,26803098,27337241,27351900,28080501,28616541,28617221,29175360,29397790,30401781,31120384,31137613,31471773,31908450,31977421,32798621,32822280,33537238,34035680,34142973,34504981,35010432,35230678,35277348,35654861,35743101,36075449,36599861,36925065,37016020,37696173,37769998,37986250,38290140,38292541,38748292,39386736,40354773,40534265,40815061,40842816,41416701,42052453,43617629,43714581,44067741,44115545,44310078,44419224,45034948,45499813,45583500,45682030,45948168,46227118,47112541,47493988,47691065,47910340,48474141,48622400,48641118,49292830,49586998,49881021,49971627,49977421,50123332,50329540,51110781,51691689,51882653,52013081,52152365,52694422,52717112,52938654,53934365,53957140,54678013,54700200,54703630,54818436,55318173,55517014,57162301,57229278,57333229,57492408,57553054,57766101,58307230,58326934,58346880,58432421,59151396,59306751,60395448,61537725,61603341,61721881,62236672,62582838,62960101,63107758,64335640,64678453,64678959,64721238,64748568,65415454,65449901,65640240,65644356,65776173,65929381,66038740,67303630,67944879,68416441,68584741,69602254,69968676,70016256,70130398,70603275,70799901,71604760,71675165,71836773,72377595,72842139,72872781,73390461,73845270,74168068,74425173,75131053,75251758,75310160,75738838,77202358,77202768,77696061,78039861,78186233,78768288,79246488,79293269,79310020,79495261,79898173,80272221,80555355,80764356,80784214,81124654,81420718,81660430,81800662,82802941,83619796,84145558,84577174,84723930,84886265,85749981,85925712,86010198,86761429,86853114,87186341,87518765,87699896,87968301,88359901,88614324,88734628,88990773,89152299,89813113,89842173,90012381,90153940,90372192,90757828,91899065,92397790,92467515,92532022,93097829,93411501,93443158,94090173,94184830,94561252,95172024,95588278,95800453,96270365,96462501,96666426,97143545,97397476,97992516,98069141,98411278,98632016,98662383,99191513,99948238,...,3785812433469828553853255645988693827866644010395480115485377718347231843051380051982703603586380038793069921744459939423148750100615107495825626552732415143405528166022035188753073058722604793766609309074008214548658186266043364868405968536590619077714883346763220525785790465841523018098663087377551067618981974471773079137480110075432410218200053257901630886884312206768964435384252893193552262523697351504672306900451117418519298121014804246879130280828673698775938788867272680130842836421896784342945324351176846157844426376919081709295477325505769343934022386304559596286996348701426267779661713878702148383203517035505814149334728228863212172269884867805652336528028701837774499931587675820253151420880862985869760749656765735961902019073429048712657049926474274509093715448777979034071523369165482341749709999758200929402192931177575485826061476446399227275796027021438488846997286226585210328641986678144449702452334956842517232990753332751416065425678154101870880017924427369405308372142300691219021154877000100482478194066341112890891547846998752962389774362915891487362383312723349310673646360467537039528221208100008810979903098105855198378626736879805815224212723101637967354679373625492279027378499300902179119697635124499042639356126192778999531556084341884016222063859826197557980904748940217426327135398434561253059761473993368884388617104965964796434789785251816256517818688081270425246799290952241722029531422663635864045069245671770473225936018857476872470387770473261854252563721068476023055272504631143337113063425309984772331027995886329330202683463275408288817937472949962823923585408244417262051664310688710084802606597485341310578261076058241157295289974725279624622021333312360659461059376413841433804693657801203525808303861195098260242755597455558209808703678038871065797105332043367736066356632972980855823081427636442002572747347254873787907572697361457179072574923162934051617199511826979666189483708621823067089684564525269829258475427071709570395588070228179270723442674718735479340700416385504891149909040076035629029458081957330342785036579560933349483046759185773886351942483301134358958290737904226153353320040713391626762541194384447005551940845714944310032812938773042480802702184169583289843639887308722113868800125325036887420259075210324391301855685363143697536795282477120655581104246390592454516154691844605236791963691854059453564242471887128040681236006274422670431684711400305471354478055792537369644445787359060100636812749313210130577604206515688432152342349995215820015660382743041004880531233663354298610582629625057518743881482783355921049321412121289536084075623977966322655869881558148604845788410025132545829218018086180220103567820525969649118728203583104853685494257084253781161659433041957979589664312601097663848890524718091540272018709825140330980455888270917103465442669737325623948854037747743231291179665090881553211659700329085402846443273638240522479829520069053220670885680504971125256514125840141319314374930002184289150975389073035571330879382439220903052209841630232537131587140870106976134579736978263846148343132004205792345722946837170383766792073814371801737020599307627522981578466237564612200329062495139438915844392322173312297499347099822642836814421989230498674790765032483908731945634158827808793226445550046636968888312837040876747989959222539724175693698448466004566533827464115123150154719122160025253425767027857991488930148069371862641090919003519787833614373363021713421820249764009374152006841493587179576274363319211726145925632837857582135306552680340868772635101893799484490770797873852137970929363621326979483837227344118934141109314625445382862441522265668695895688457362780206909479432358676816604068935595957106072957244262275320922191686135599082919656485217631292144287475594796107897941460828489148099665921491748774000653309467097337800860395947500389013809184041378682620450562923943610550843273746850470761375272989737491451443224488798525371948699066684545076249577822308161812994696323714754766176514141713598104589023483828120075452260225584657812600012322025608719350043689082648328330726362255413389147233486751004945365227770730838278799748136259340722184569284347652473759673587468901808937158724363476762484824549181328218517213880794521036303753405092667904642193627917050434145717158286223739664948925625943134521272389653133629061564742976382953592785372925688764329241678527066283074106045140784546739176610850334956629171144695401231753919089996902266862149480695275150502158063714574967270086897098670980067829672013353950334025204789692658927941971990545144887743071217118395321752598722166685449323277196354991992044964260503370162129823817160524060302978872462167025787872830249260660662424914514881240237499148933321937436659104880383329369635280793582402071591405240541310141093925759613936452354807428366241404083363}
30412  988109799961842872064710378863755742033038282140849761742951439480242666945628198213909: {425642,608060,698947,729672,820881,1154858,2066588,2154211,2309564,2611562,2698747,4132904,4649517,4980188,5880722,5926245,6243242,6321328,7020321,7111494,7404668,7570411,8131388,8296197,8357525,8415338,8824867,9138218,9499442,9876425,10029030,10424113,10610827,10697632,10793564,11501107,11699765,11851710,12023978,12034411,12034836,12244028,12641824,13463402,13822898,14039718,14222052,14323784,14541458,14691211,14891590,16114257,16335338,16588508,16693682,16713950,16829564,16853685,17682667,17869908,17977264,18034364,18483242,18840722,19432627,19607227,20056740,20134472,20200988,20224422,20846854,21273700,21393856,22044067,22651281,23806268,23830322,24068088,24811747,25250738,25486268,25528440,26016811,26875411,27076599,27230336,27384872,27389707,27404348,27730922,28719495,28841564,28928707,29781187,29781220,30391000,30634128,30801787,30807981,31065441,32429564,32497027,32668508,32670122,33174824,34189875,34345077,34427282,34463394,34521811,35737464,36180842,36469200,36703627,37321677,37372507,37440668,37539547,38155388,38866821,38900480,39811137,40204647,40535708,41027850,41526907,41962364,42022411,42544600,43159082,43669411,43763040,43853738,44096685,44818027,45523964,45587858,46127473,46270025,46615867,46680576,47036464,47657468,47862675,48009578,48435365,48700202,49045298,49053427,49233420,50261564,50305857,51053520,52144682,52515648,52846017,52916022,53400211,53806364,54457088,54518587,55222268,55232402,55474387,55524030,56110147,56268907,56293685,56654997,56903227,56942762,56979375,57435210,58122438,58286108,58483987,58756988,59080104,59225632,59331218,59367485,59887925,60012338,60214507,60778000,61264224,62391722,62654165,62911925,64632188,64854824,65778602,65896390,66465117,66508028,66628836,66741811,67049467,67446425,67510411,67552422,68147708,68375250,68523045,68736427,68922252,69340677,70160018,70584872,71240982,71838698,71865510,72174002,72538027,72840211,72933600,72961677,73091248,73142107,73757564,73895587,73939245,74380497,74517098,75097411,75184998,75494310,76305704,76656544,76737409,77021468,77338411,77795840,78823411,78868528,79041633,79075668,79407981,79858627,80419550,80527264,80935710,81331387,82050300,82055445,82137788,82227654,82548425,83275521,83443784,84255307,84511361,85797482,85843917,86126738,86238612,86294984,86303014,86329581,86331424,87460845,87490401,87520320,87525808,87582211,87701564,88427498,88727094,89083562,89505950,90393962,90593172,92028722,92710085,93277411,93291568,93333938,93355008,93874257,93981211,94137700,94399868,94661637,94963507,95287442,95782364,96503460,96536693,97081857,97122852,97163708,97508437,97559978,97853948,98123181,98460360,98466534,98855402,98857411,99058110,99137525,99233564,99271267,99825458,...,5047749911293104738471007527984925103822192013860640153980503624462975790735173402643604804781840051724093228992613252564198333467486809994434168736976553524540704221362713585004097411630139725022145745432010952731544248354724486491207958048787492103619844462350960701047720621122030690798217449836734756825309299295697438849973480100576546957600071010535507849179082942358619247179003857591403016698263135339563075867268156558025730828019738995838840374438231598367918385156363573507790448562529045790593765801569128210459235169225442279060636434007692458578696515072746128382661798268568357039548951838269531177604689380674418865779637638484282896359846490407536448704038269117032666575450234427004201894507817314493014332875687647949202692097905398283542733235299032678791620598370638712095364492220643122332946666344267905869590574903433981101415301928532303034394702695251318462663048302113613771522648904192599603269779942456689643987671110335221420567570872135827840023899236492540411162856400921625361539836000133976637592088454817187855397129331670616519699150554521983149844416964465747564861813956716052704294944133345081306537464141140264504835649173074420298950297468850623139572498167323038703171332401202905492930180165998723519141501590371999375408112455845354962751813101596743974539665253623235102847197912748337413015298657825179184822806621286395246386380335755008690424917441693900329065721269655629372708563551514485393425660895693964301248025143302496627183693964349139003418294757968030740363339508191116150751233746646363108037327848439106936911284367211051757249963933283765231447210992556349402219080918280113070142129980455080771014768077654876393719966300372832829361777749814212614745835218455245072924877068271367744405148260131013657007463274077613078271570718494754396140442724490314755142177297307807764108570181922670096996463006498383876763596481942905430099897550578735489599349102639554919311611495764089452912752700359772344633902762279427194117426970905694297923566291647305787600555180673188199878720101380838705944109276440457046715439414577799310729012247698515135923311068179145277720983872301537804426720951188835683388259179262674069254460953259080043750585030723307736936245559444386458186516411629485158400167100049183227012100280432521735807580484191596715727043302827540774805661854123272688206255792806982389284922472079271418989962516170720908314675032563560575579615200407295139304074390049826192594383145413467515750332417613507436805608687584576203123133326954426687547176990721339840708311551139064814110172833410024991841977044474561399095216161719381445434165303955096874493175410864806461051213366843394438957357448240293471423760701292865491637604777473138247325676112338374882212577389277306119552416801463551798520699624122053696024946433520441307274517694556137953923559649767498598472050330324308388239553454508737615546267105447203795257698184320696639772693425404294227847574006628167008685501120188425752499906669579052201300518764047428441172509918961204069613122173643382842116187826809301512772982637685128197790842672274389794297262449560511689056098419162402316027465743503363975437954983419482933772083326852585221125856429564416396665796133096857115752562652307331566387686709978544975927512211770411724301927400062182625184417116054502330653278963386298900924931264621339422045103285486830866872958829546700337901022703810655318573530759162483521454558671359717111485831150695617895760333018679165536009121991449572768365817758948968194567510450476776180408736907121158363513469191732645987694397165136183961239151495102639311782969792158578854812419500593843816588696354224927860917943150373609212639243144902422138758580794609474763942992349700427896255581514132110559541980290175056192383300793061477197255281104652197466221228655665032000871079289463117067813861263333852018412245388504910160600750565258147401124364995800627681833697319649988601924299318398033829264932088912726768332770429744215750659595098286339688235352188951464139452031311770826767269680300779543750133349762700811625800058252110197771107635149673884518862977982334673260486970360974451038399664181679120962912759045796869965012898116625202411916211632484635683313099398908437624689618507726028048405004540123557206189591503889400578860956211048298319553265234167924179361696519537511505415419657301843938123713830567585019105655571369421710765474726854379395652235481133779942172228192927201642338558786662536355816199307593700200669544084952766623026782529464894640090439562684471933778700273052923545237255962654060193183657428289491193762336798296222247265764369595139989322726619014004493549506431756214032080403971829949556034383830440332347547549899886019841653649998865244429249915545473173844439159513707724776536095455206987388413521458567679485248603139743237821655205444484}
30413  991159915343582766547049633346490833642833763514635802370125286377545489560526091819996: {638463,760075,912090,972896,1094508,1732287,2583235,2886955,3099882,3464346,3616291,3677311,3917343,4345627,5166130,5531162,6199356,6225235,7354138,7470282,7901660,8821083,9255835,9360428,9364863,9481992,10164235,10667241,11061596,11107002,12197082,12533311,12623007,13372040,13491955,13707327,14249163,14970931,15043545,15305035,15730106,15802280,16046448,16064143,16190346,17617663,17777565,17904730,18035967,18052254,18366042,18719624,18962736,20195103,20358811,20734347,20735635,20909083,21036955,21059577,21333078,21485676,21812187,22337385,22471580,22542955,23271547,23826544,23961763,24475802,24503007,24882762,25040523,25070925,25168090,25244346,25251235,26350687,26592125,26742320,26804862,26965896,27051546,27099871,27681247,27724863,28261083,29027971,29676427,29757835,30013183,30085110,30201708,30301482,30336633,30553387,31270281,31857835,31910550,32090784,32562331,34037920,34231090,34255435,35384602,35709402,35745483,36051955,36102132,36321307,37226525,37630843,37835227,37876107,37988750,38229402,38292660,38563411,39382618,40536955,40835635,40845504,40905727,41077308,41106522,41156906,41420588,41468530,41596383,42137563,42771643,43262346,43620511,44671830,45586500,45793436,45854491,45951192,46727743,46800835,47649952,47694235,48494506,48625600,48644346,49002762,49005183,49510927,49584667,49762236,50669635,51548107,51640923,51695091,51822428,52452955,53043043,53081516,53180750,53606196,53641387,54271263,54674482,54703800,55460767,56161002,56747971,56904955,57233082,57234442,57856063,58132267,58350720,58795580,59463403,59509087,59571835,60803562,61282783,61541775,61761763,62240768,62275226,62414467,62826955,62943546,63473311,63816900,63954842,64738623,65350771,65597242,65644560,65780607,65883187,66114367,66767491,66974671,67074476,67257955,67583683,68071360,68285946,68381787,69009962,69027835,70020864,70461356,70473211,70554696,71309722,71486202,72014367,72150898,72857635,73013311,73050303,73199722,73327147,73446235,73567947,73850130,74032040,75392346,75508111,75509683,75539996,75972500,76580280,76585082,77323147,77349883,77496584,78217023,78773472,79374033,79956811,80709546,80790235,81068530,81630122,81685632,82833402,82848603,83135035,83286045,83578387,84041311,84104906,85132363,85184635,85414143,86152815,87183657,87192127,87235258,87429162,88135482,88231090,88620156,88838448,88885843,88996827,89163547,90018507,90069896,90999626,91167000,91170367,91364060,91896336,92196955,92454236,93029803,93587583,93710227,93760447,94225082,94987976,95327203,95382130,95820680,96276835,96948282,97041307,97244800,97282236,98119027,98585660,98667903,98844585,99096043,99173996,99198067,99762042,99943254,99954842,...,7571624866939657107706511291977387655733288020790960230970755436694463686102760103965407207172760077586139843488919878846297500201230214991651253105464830286811056332044070377506146117445209587533218618148016429097316372532086729736811937073181238155429766693526441051571580931683046036197326174755102135237963948943546158274960220150864820436400106515803261773768624413537928870768505786387104525047394703009344613800902234837038596242029608493758260561657347397551877577734545360261685672843793568685890648702353692315688852753838163418590954651011538687868044772609119192573992697402852535559323427757404296766407034071011628298669456457726424344539769735611304673056057403675548999863175351640506302841761725971739521499313531471923804038146858097425314099852948549018187430897555958068143046738330964683499419999516401858804385862355150971652122952892798454551592054042876977693994572453170420657283973356288899404904669913685034465981506665502832130851356308203741760035848854738810616744284601382438042309754000200964956388132682225781783095693997505924779548725831782974724766625446698621347292720935074079056442416200017621959806196211710396757253473759611630448425446203275934709358747250984558054756998601804358239395270248998085278712252385557999063112168683768032444127719652395115961809497880434852654270796869122506119522947986737768777234209931929592869579570503632513035637376162540850493598581904483444059062845327271728090138491343540946451872037714953744940775540946523708505127442136952046110545009262286674226126850619969544662055991772658660405366926550816577635874945899925647847170816488834524103328621377420169605213194970682621156522152116482314590579949450559249244042666624721318922118752827682867609387315602407051616607722390196520485511194911116419617407356077742131594210664086735472132713265945961711646162855272884005145494694509747575815145394722914358145149846325868103234399023653959332378967417243646134179369129050539658516950854143419140791176140456358541446885349437470958681400832771009782299818080152071258058916163914660685570073159121866698966093518371547772703884966602268717916581475808452306706640081426783253525082388768894011103881691429888620065625877546084961605404368339166579687279774617444227737600250650073774840518150420648782603711370726287395073590564954241311162208492781184909032309383689210473583927383708118907128484943774256081362472012548845340863369422800610942708956111585074739288891574718120201273625498626420261155208413031376864304684699990431640031320765486082009761062467326708597221165259250115037487762965566711842098642824242579072168151247955932645311739763116297209691576820050265091658436036172360440207135641051939298237456407166209707370988514168507562323318866083915959179328625202195327697781049436183080544037419650280661960911776541834206930885339474651247897708075495486462582359330181763106423319400658170805692886547276481044959659040138106441341771361009942250513028251680282638628749860004368578301950778146071142661758764878441806104419683260465074263174281740213952269159473956527692296686264008411584691445893674340767533584147628743603474041198615255045963156932475129224400658124990278877831688784644346624594998694199645285673628843978460997349581530064967817463891268317655617586452891100093273937776625674081753495979918445079448351387396896932009133067654928230246300309438244320050506851534055715982977860296138743725282181838007039575667228746726043426843640499528018748304013682987174359152548726638423452291851265675715164270613105360681737545270203787598968981541595747704275941858727242653958967674454688237868282218629250890765724883044531337391791376914725560413818958864717353633208137871191914212145914488524550641844383372271198165839312970435262584288574951189592215795882921656978296199331842983497548001306618934194675601720791895000778027618368082757365240901125847887221101686547493700941522750545979474982902886448977597050743897398133369090152499155644616323625989392647429509532353028283427196209178046967656240150904520451169315625200024644051217438700087378165296656661452724510826778294466973502009890730455541461676557599496272518681444369138568695304947519347174937803617874317448726953524969649098362656437034427761589042072607506810185335809284387255834100868291434316572447479329897851251886269042544779306267258123129485952765907185570745851377528658483357054132566148212090281569093478353221700669913258342289390802463507838179993804533724298961390550301004316127429149934540173794197341960135659344026707900668050409579385317855883943981090289775486142434236790643505197444333370898646554392709983984089928521006740324259647634321048120605957744924334051575745660498521321324849829029762480474998297866643874873318209760766658739270561587164804143182810481082620282187851519227872904709614856732482808166726}
30414  994219391351562949499883252898422652944611465533712508297881701176083575686430387197747: {334433,698993,851284,1216120,1368135,1397894,1427249,1459344,1641762,2033249,2214893,2309716,3061613,3242849,4133176,4308422,4619128,4649823,5196519,5223124,5231693,5397494,5772593,6372833,6852449,7032173,7749195,8265808,8296743,8347949,8467373,9299034,9362033,9540749,9877075,9960376,11027249,11031207,11205423,11700535,11761444,11852490,12035213,12486484,12642656,12922673,13826995,13985249,14040642,14222988,14574449,14809336,15140822,16161293,16262776,16337249,16379671,16592394,16660503,16715050,16806113,16830676,17215949,17649734,18276436,18295623,18998884,19433933,19666733,19752850,20015693,20058060,20538593,20848226,21221654,21395264,21587128,22045553,22276913,22912493,23002214,23399530,23595159,23703420,24047956,24068822,24069672,24285519,24468449,24488056,25283648,25903949,26075873,26190449,26857095,26926804,27078381,27549063,27645796,27734093,28079436,28089475,28444104,28589153,28647568,28759949,29082916,29158193,29382422,29783180,29783213,30293873,30860513,31878449,31999617,32228514,32330033,32670676,32724749,33177016,33387364,33427900,33659128,33707370,34018913,34243553,34860653,35365334,35420813,35700593,35739816,35954528,36068728,36713703,36966484,37207949,37324143,37375073,37597793,37681444,37752135,37866519,38865254,39214454,40094573,40113480,40207293,40268944,40401976,40448844,40577319,41693708,42080333,42547400,42787712,42849773,43014449,43179053,44088134,44547953,45127665,45302562,45312353,45452223,46020749,46129613,46292849,46673453,47612536,47660644,47812913,47865825,48136176,49623494,50242733,50501476,50972536,51049073,51056880,51156449,51346635,51775735,51800033,52033622,52121393,53076903,53297249,53457293,53563949,53564103,53750822,54153198,54203213,54460672,54769744,54779414,54808696,55461844,55531313,56907233,56983125,57118433,57241795,57344103,57438990,57540449,57683128,57857414,58488113,59073927,59562374,59562440,60271073,60427949,60782000,61268256,61603574,61615962,61659783,61735359,62130882,62148833,62202795,62408813,63394913,64778035,64859128,64893519,64994054,65337016,65340244,65512973,66130349,66349648,66351895,66797873,67007745,67668749,67809511,68379750,68435249,68690154,68854564,68926788,68945249,69043622,69098093,70318253,70571873,71474928,72089393,72361684,72741759,72845453,72938400,72966519,73407254,73494475,73499249,73504143,73900913,74101553,74251949,74643354,74745014,74881336,75079094,75152813,75851693,76310776,76499249,77244749,77393633,77733642,77800960,78136973,78811159,79470449,79622274,79771125,80409294,80454449,81071416,81190349,82011723,82055700,83053814,83114479,83843095,83924728,84044822,84241503,85089200,85567949,85849623,85851663,86318164,87156833,87338822,87492749,87526080,87707476,87715831,88076695,88193370,88784753,89636054,89642849,90023393,90593249,91047928,91161953,91175716,91205343,92254946,92540050,92625773,93231734,93284333,93331313,93361152,93412839,93425249,94072928,94415319,94424995,94456433,94965625,94970573,95314936,95725350,95932263,96019156,96088973,96367853,96832013,96870730,97249073,97387949,97400404,98090596,98106854,98311949,98395863,98466840,98634593,98772749,98864813,99462449,99600173,99877063,...,11357437300409485661559766937966081483599932031186440346456133155041695529154140155948110810759140116379209765233379818269446250301845322487476879658197245430216584498066105566259219176167814381299827927222024643645974558798130094605217905609771857233144650040289661577357371397524569054295989262132653202856945923415319237412440330226297230654600159773704892660652936620306893306152758679580656787571092054514016920701353352255557894363044412740637390842486021096327816366601818040392528509265690353028835973053530538473533279130757245127886431976517308031802067158913678788860989046104278803338985141636106445149610551106517442448004184686589636516809654603416957009584086105513323499794763027460759454262642588957609282248970297207885706057220287146137971149779422823527281146346333937102214570107496447025249129999274602788206578793532726457478184429339197681827388081064315466540991858679755630985925960034433349107357004870527551698972259998254248196277034462305612640053773282108215925116426902073657063464631000301447434582199023338672674643540996258887169323088747674462087149938170047932020939081402611118584663624300026432939709294317565595135880210639417445672638169304913902064038120876476837082135497902706537359092905373497127918068378578336998594668253025652048666191579478592673942714246820652278981406195303683759179284421980106653165851314897894389304369355755448769553456064243811275740397872856725166088594267990907592135207737015311419677808056572430617411163311419785562757691163205428069165817513893430011339190275929954316993083987658987990608050389826224866453812418849888471770756224733251786154992932066130254407819792456023931734783228174723471885869924175838873866063999937081978383178129241524301414080973403610577424911583585294780728266792366674629426111034116613197391315996130103208199069898918942567469244282909326007718242041764621363722718092084371537217724769488802154851598535480938998568451125865469201269053693575809487775426281215128711186764210684537812170328024156206438022101249156514673449727120228106887088374245871991028355109738682800048449140277557321659055827449903403076874872213712678460059960122140174880287623583153341016655822537144832930098438816319127442408106552508749869530919661926166341606400375975110662260777225630973173905567056089431092610385847431361966743312739171777363548464075533815710375891075562178360692727415661384122043708018823268011295054134200916414063434167377612108933337362077180301910438247939630391732812619547065296457027049985647460046981148229123014641593700990062895831747888875172556231644448350067763147964236363868608252226871933898967967609644674445814537365230075397637487654054258540660310703461577908947356184610749314561056482771252761343484978299125873938768992937803292991546671574154274620816056129475420992941367664812751310396328009211976871846562113243229693873538995272644659634979100987256208539329820914721567439488560207159662012657041514913375769542377520423957943124790006552867452926167219106713992638147317662709156629524890697611394761422610320928403739210934791538445029396012617377037168840511511151300376221443115405211061797922882568944735398712693836600987187485418316747533176966519936892498041299467928510443265967691496024372295097451726195836902476483426379679336650139910906664938511122630243969877667619172527081095345398013699601482392345369450464157366480075760277301083573974466790444208115587923272757010559363500843120089065140265460749292028122456020524480761538728823089957635178437776898513572746405919658041022606317905305681398453472312393621556413912788090863980938451511682032356802423327943876336148587324566797006087687065372088340620728438297076030449812206806787871318218871732786825962766575058406797248758969455652893876432862426784388323693824382485467444298997764475246322001959928401292013402581187842501167041427552124136047861351688771830831652529821240551412284125818969212474354329673466395576115846097200053635228748733466924485438984088971144264298529542425140794313767070451484360226356780676753973437800036966076826158050131067247944984992179086766240167441700460253014836095683312192514836399244408778022166553707853042957421279020762406705426811476173090430287454473647543984655551641642383563108911260215278003713926580883751151302437151474858671218994846776877829403563817168959400887184694228929148860778356118777066292987725035581198849222318135422353640217529832551004869887513434086203695261757269990706800586448442085825451506474191143724901810260691296012940203489016040061851002075614369077976783825915971635434663229213651355185965257796166500056347969831589064975976134892781510110486389471451481572180908936617386501077363618490747781981987274743544643720712497446799965812309977314641149988108905842380747206214774215721623930423281777278841809357064422285098724212250089}
30415  997288256546499487535624399295642810837162128163102340719140634956073092059833870457206: {1064105,1276926,1520150,1824180,1945792,2096841,2189016,2462643,2887145,3464574,3616529,4041737,4345913,5135741,5166470,5773910,6199764,6462633,6528905,6928692,7232582,7354622,7834686,8096241,8691254,8715329,10332260,11062324,12359369,12398712,12450470,12958169,13948551,14229929,14701805,14708276,14940564,15608105,15803320,16003409,16732217,17642166,17778735,18511670,18720856,18729726,18888737,18963984,20328470,21038345,21060963,21334482,21427049,22123192,22214004,22711233,22845545,23748605,24060413,24394164,24888591,25066622,25072575,25246014,26474601,26744080,26983910,27414654,28498326,29029889,29451737,29629275,29941862,30059945,30087090,30610070,31141721,31272339,31460212,31560137,31604560,31832481,32092896,32128286,32337569,32380692,32714201,33658505,34503321,34557245,34808009,35072141,35099295,35235326,35351729,35555130,35809460,36071934,36103233,36104508,36353645,36732084,37228975,37439248,37925472,40390206,40444553,40717622,40718417,40838345,41468694,41471270,41536829,41660969,41734205,41784875,41818166,42058001,42073910,42119154,42666156,42925181,42971352,43624374,44073633,44600969,44674770,44943160,45085910,46208105,46543094,47101805,47653088,47803601,47923526,47957609,48342771,48951604,49006014,49765524,50081046,50141850,50250233,50336180,50472737,50488692,50502470,50561055,50905601,51249137,51551513,52117135,52701374,53048001,53184250,53484640,53609724,53931792,54103092,54199742,54222113,55078721,55362494,55449726,56522166,56751737,57169889,57340793,58055942,58297881,58600061,58821681,58909817,59283401,59352854,59515670,59575805,60026366,60170220,60173993,60403416,60602964,60673266,61106774,62540562,63126845,63715670,63821100,64137953,64172621,64181568,65124662,65355089,65521169,66132201,66186377,66718913,66771929,67953843,68075840,68462180,68510870,69097001,69327305,69433337,70328921,70769204,70937489,71418804,71490966,71502017,72103910,72204264,72642614,73039097,73434137,74033993,74435241,74453050,75013913,75261686,75670454,75752214,75812813,75977500,76458804,76585320,76904081,77126822,78050433,78135161,78764177,78765236,79616489,79666937,80626233,80713229,81073910,81229797,81671270,81675305,81691008,81811454,82154616,82169121,82213044,82313812,82841176,82937060,83192766,83253329,83400569,84275126,85543286,86068205,86158485,86524692,86786121,86890169,87241022,87957737,89343561,89343660,89826473,90452105,91173000,91381901,91586872,91708982,91902384,92405361,92423943,93196323,93455486,93601670,94161137,94494413,95299904,95388470,96638969,96718841,96989012,97251200,97288692,97491081,98005524,98010366,99021854,99169334,99343001,99524472,...,15143249733879314215413022583954775311466576041581920461941510873388927372205520207930814414345520155172279686977839757692595000402460429983302506210929660573622112664088140755012292234890419175066437236296032858194632745064173459473623874146362476310859533387052882103143161863366092072394652349510204270475927897887092316549920440301729640872800213031606523547537248827075857741537011572774209050094789406018689227601804469674077192484059216987516521123314694795103755155469090720523371345687587137371781297404707384631377705507676326837181909302023077375736089545218238385147985394805705071118646855514808593532814068142023256597338912915452848689079539471222609346112114807351097999726350703281012605683523451943479042998627062943847608076293716194850628199705897098036374861795111916136286093476661929366998839999032803717608771724710301943304245905785596909103184108085753955387989144906340841314567946712577798809809339827370068931963013331005664261702712616407483520071697709477621233488569202764876084619508000401929912776265364451563566191387995011849559097451663565949449533250893397242694585441870148158112884832400035243919612392423420793514506947519223260896850892406551869418717494501969116109513997203608716478790540497996170557424504771115998126224337367536064888255439304790231923618995760869705308541593738245012239045895973475537554468419863859185739159141007265026071274752325081700987197163808966888118125690654543456180276982687081892903744075429907489881551081893047417010254884273904092221090018524573348452253701239939089324111983545317320810733853101633155271749891799851295694341632977669048206657242754840339210426389941365242313044304232964629181159898901118498488085333249442637844237505655365735218774631204814103233215444780393040971022389822232839234814712155484263188421328173470944265426531891923423292325710545768010290989389019495151630290789445828716290299692651736206468798047307918664757934834487292268358738258101079317033901708286838281582352280912717082893770698874941917362801665542019564599636160304142516117832327829321371140146318243733397932187036743095545407769933204537435833162951616904613413280162853566507050164777537788022207763382859777240131251755092169923210808736678333159374559549234888455475200501300147549681036300841297565207422741452574790147181129908482622324416985562369818064618767378420947167854767416237814256969887548512162724944025097690681726738845601221885417912223170149478577783149436240402547250997252840522310416826062753728609369399980863280062641530972164019522124934653417194442330518500230074975525931133423684197285648485158144336302495911865290623479526232594419383153640100530183316872072344720880414271282103878596474912814332419414741977028337015124646637732167831918358657250404390655395562098872366161088074839300561323921823553083668413861770678949302495795416150990972925164718660363526212846638801316341611385773094552962089919318080276212882683542722019884501026056503360565277257499720008737156603901556292142285323517529756883612208839366520930148526348563480427904538318947913055384593372528016823169382891787348681535067168295257487206948082397230510091926313864950258448801316249980557755663377569288693249189997388399290571347257687956921994699163060129935634927782536635311235172905782200186547875553251348163506991959836890158896702774793793864018266135309856460492600618876488640101013703068111431965955720592277487450564363676014079151334457493452086853687280999056037496608027365974348718305097453276846904583702531351430328541226210721363475090540407575197937963083191495408551883717454485307917935348909376475736564437258501781531449766089062674783582753829451120827637917729434707266416275742383828424291828977049101283688766744542396331678625940870525168577149902379184431591765843313956592398663685966995096002613237868389351203441583790001556055236736165514730481802251695774442203373094987401883045501091958949965805772897955194101487794796266738180304998311289232647251978785294859019064706056566854392418356093935312480301809040902338631250400049288102434877400174756330593313322905449021653556588933947004019781460911082923353115198992545037362888738277137390609895038694349875607235748634897453907049939298196725312874068855523178084145215013620370671618568774511668201736582868633144894958659795702503772538085089558612534516246258971905531814371141491702755057316966714108265132296424180563138186956706443401339826516684578781604927015676359987609067448597922781100602008632254858299869080347588394683920271318688053415801336100819158770635711767887962180579550972284868473581287010394888666741797293108785419967968179857042013480648519295268642096241211915489848668103151491320997042642649699658059524960949996595733287749746636419521533317478541123174329608286365620962165240564375703038455745809419229713464965616333452}
30416 1000366539575746139698760417473589941008536701608810025314378378784180593434346943437629: {395239,668866,1397986,1702568,1915389,2280225,2432240,2736270,2795788,2854498,2918688,2940943,3122239,3283524,3303463,4066498,4429786,4619432,4750663,4931239,5196861,5833039,6123226,6485698,6912823,7749705,8266352,8348503,8527639,8616844,8660865,9238256,9243463,9299646,9422239,10393038,10446248,10463386,10794988,10848873,11031933,11545186,11752029,12745666,12915325,12982639,13036881,13691263,13704898,13827905,14064346,14928583,15498390,16380749,16531616,16593486,16695898,16934746,18269239,18385345,18598068,18675705,18724066,19081498,19357793,19754150,19920752,21757639,22054498,22062414,22410846,23318023,23401070,23522888,23704980,24070426,24527623,24972968,25285312,25845346,26463249,27653990,27767505,27970498,28081284,28094589,28445976,29148898,29618672,30281644,30352639,30492705,31371943,32001723,32322586,32525552,32674498,32759342,33065023,33184788,33321006,33430100,33612226,33661352,34431898,35299468,36094423,36429583,36552872,36591246,37266223,37599933,37869021,37997768,38867866,39325265,39333466,39505700,40031386,40116120,40475865,40594783,41077186,41121981,41696452,42443308,42747489,42790528,42907639,43072303,43174256,44091106,44553826,44714983,44761825,44912793,45130635,45533623,45824986,45915105,46004428,46350463,46799060,46839703,47190318,47406840,47653663,47816239,48095912,48137644,48139344,48192429,48571038,48628039,48936898,48976112,50084743,50246239,50407663,50567296,51213703,51807898,52151746,52380898,52852989,53300983,53332695,53621023,53714190,53853608,54107901,54156762,55098126,55291592,55468186,56158872,56178950,56488423,56888208,57178306,57295136,57519898,57597223,58165832,58316386,58764844,59566360,59566426,60432223,60585309,60587746,61076433,61189505,61721026,62203041,62206905,62727249,62920225,63110865,63178731,63756898,63999234,64457028,64486039,64660066,65341352,65436561,65449498,65877943,66354032,66774728,66855800,66956503,67012155,67318256,67414740,67628865,68037826,68487106,69103039,69721306,69814641,70730668,70841626,71401186,71479632,71885289,71909056,72137456,72145039,72486029,72749983,73427406,73509021,73932968,74257303,74407639,74415898,74648286,74750146,75121569,75195586,75212775,75308143,75362888,75504270,75733038,75753705,77730508,78142639,78428908,79052061,79476223,79776375,80138513,80189146,80226960,80414586,80537888,80803952,80897688,81154638,81299613,82711543,83043741,83174589,83387416,83441983,84160666,84170623,84783249,85094800,85575424,85577725,85699546,86028898,86201239,86358106,87083913,88176268,88461505,89029281,89095906,89273505,89649463,89792239,90039549,90255330,90505039,90605124,90624706,90689249,90904446,91009899,91216039,91660161,92041498,92259226,92585698,92892653,93197263,93338239,93346906,93479143,93810843,94971875,95225072,95321288,95573505,95625826,95731650,96142639,96272352,97686993,98456545,99246988,99607639,...,22714874600818971323119533875932162967199864062372880692912266310083391058308280311896221621518280232758419530466759636538892500603690644974953759316394490860433168996132211132518438352335628762599655854444049287291949117596260189210435811219543714466289300080579323154714742795049138108591978524265306405713891846830638474824880660452594461309200319547409785321305873240613786612305517359161313575142184109028033841402706704511115788726088825481274781684972042192655632733203636080785057018531380706057671946107061076947066558261514490255772863953034616063604134317827357577721978092208557606677970283272212890299221102213034884896008369373179273033619309206833914019168172211026646999589526054921518908525285177915218564497940594415771412114440574292275942299558845647054562292692667874204429140214992894050498259998549205576413157587065452914956368858678395363654776162128630933081983717359511261971851920068866698214714009741055103397944519996508496392554068924611225280107546564216431850232853804147314126929262000602894869164398046677345349287081992517774338646177495348924174299876340095864041878162805222237169327248600052865879418588635131190271760421278834891345276338609827804128076241752953674164270995805413074718185810746994255836136757156673997189336506051304097332383158957185347885428493641304557962812390607367518358568843960213306331702629795788778608738711510897539106912128487622551480795745713450332177188535981815184270415474030622839355616113144861234822326622839571125515382326410856138331635027786860022678380551859908633986167975317975981216100779652449732907624837699776943541512449466503572309985864132260508815639584912047863469566456349446943771739848351677747732127999874163956766356258483048602828161946807221154849823167170589561456533584733349258852222068233226394782631992260206416398139797837885134938488565818652015436484083529242727445436184168743074435449538977604309703197070961877997136902251730938402538107387151618975550852562430257422373528421369075624340656048312412876044202498313029346899454240456213774176748491743982056710219477365600096898280555114643318111654899806806153749744427425356920119920244280349760575247166306682033311645074289665860196877632638254884816213105017499739061839323852332683212800751950221324521554451261946347811134112178862185220771694862723933486625478343554727096928151067631420751782151124356721385454831322768244087416037646536022590108268401832828126868334755224217866674724154360603820876495879260783465625239094130592914054099971294920093962296458246029283187401980125791663495777750345112463288896700135526295928472727737216504453743867797935935219289348891629074730460150795274975308108517081320621406923155817894712369221498629122112965542505522686969956598251747877537985875606585983093343148308549241632112258950841985882735329625502620792656018423953743693124226486459387747077990545289319269958201974512417078659641829443134878977120414319324025314083029826751539084755040847915886249580013105734905852334438213427985276294635325418313259049781395222789522845220641856807478421869583076890058792025234754074337681023022302600752442886230810422123595845765137889470797425387673201974374970836633495066353933039873784996082598935857020886531935382992048744590194903452391673804952966852759358673300279821813329877022245260487939755335238345054162190690796027399202964784690738900928314732960151520554602167147948933580888416231175846545514021118727001686240178130280530921498584056244912041048961523077457646179915270356875553797027145492811839316082045212635810611362796906944624787243112827825576181727961876903023364064713604846655887752672297174649133594012175374130744176681241456876594152060899624413613575742636437743465573651925533150116813594497517938911305787752865724853568776647387648764970934888597995528950492644003919856802584026805162375685002334082855104248272095722703377543661663305059642481102824568251637938424948708659346932791152231692194400107270457497466933848970877968177942288528597059084850281588627534140902968720452713561353507946875600073932153652316100262134495889969984358173532480334883400920506029672191366624385029672798488817556044333107415706085914842558041524813410853622952346180860574908947295087969311103283284767126217822520430556007427853161767502302604874302949717342437989693553755658807127634337918801774369388457858297721556712237554132585975450071162397698444636270844707280435059665102009739775026868172407390523514539981413601172896884171650903012948382287449803620521382592025880406978032080123702004151228738155953567651831943270869326458427302710371930515592333000112695939663178129951952269785563020220972778942902963144361817873234773002154727236981495563963974549487089287441424994893599931624619954629282299976217811684761494412429548431443247860846563554557683618714128844570197448424500178}
30417 1003454269173555643607930078777476628892254217831171562151173860311991975840110432709022: {1003299,1489747,2096979,2128210,2553852,3040300,3494735,3648360,3891584,4042003,4104405,4193682,4281747,4378032,4925286,5136079,5682743,5774290,6099747,6644679,6929148,7233058,8083474,8691826,9140467,9184839,9728547,10271482,10332940,10771055,11547820,12399528,12925266,13057810,13493735,13857384,13949469,14465164,14606527,14709244,15589557,15669372,15695079,16192482,17317779,17382508,17430658,17886163,19118499,19695203,20557347,20582527,20664520,21096519,21851347,22124648,23247585,24718738,24797424,24890229,24900940,25043847,25402119,25916338,27342647,27684899,27897102,28086099,28459858,28622247,29403610,29416552,29453683,29631225,29881128,30432023,31216210,31606640,31983763,32006818,32805107,33081747,33093621,33248047,33464434,33616269,35101605,35284332,35557470,36082583,36105639,36985679,37023340,37441712,37459452,37654199,37777474,37852055,37927968,38217127,38768019,40656940,41354783,41480985,41787625,41955747,42076690,42083923,42121926,42668964,42854098,43723347,44124335,44246384,44428008,45422466,45508819,45615383,45691090,47121907,47497210,48120826,48380143,48483879,48788328,49011747,49139013,49382125,49517459,49777182,49981509,50133244,50145150,50418339,50492028,50895103,51647847,52120565,52949202,53054135,53488160,53967820,54829308,54886869,55102967,56996652,57173683,57505535,58059778,58301799,58427887,58498825,58903474,59000199,59258550,59386639,59883724,60047079,60119890,60172055,60174180,61220140,61615779,62283442,62544678,62920424,62972563,63120274,63209120,63664962,64080679,64185792,64256572,64675138,64691347,64761384,65428402,65891879,65942527,66136659,66830739,66983507,67317010,67409063,68429983,68598319,68737479,69006642,69114490,69616018,70144282,70198590,70370639,70470652,70703458,70785477,71110260,71114719,71618920,72143868,72206466,72209016,72707290,72856557,72963989,73043923,73405347,73456055,73464168,74221843,74457950,74878496,75145927,75799399,75850944,77711847,78227619,78571347,79510999,79914019,80571285,80780412,80889106,81235143,81435244,81436834,81676690,81859207,82647189,82937388,82942540,83073658,83202279,83321938,83406127,83468410,83569750,83636332,84116002,84147820,84238308,84268425,85332312,85767459,85850362,85942704,86279847,87248748,87314467,87474579,87494719,88147266,88377583,88413335,89175383,89201938,89349540,89349639,89886320,90171820,90208903,90881619,92416210,92581539,93086188,94203610,95306176,95607202,95635347,95847052,95915218,95998851,96685542,96990099,97054199,97058227,97163135,97903208,98012028,98036135,98174247,99531048,...,34072311901228456984679300813898244450799796093559321039368399465125086587462420467844332432277420349137629295700139454808338750905535967462430638974591736290649753494198316698777657528503443143899483781666073930937923676394390283815653716829315571699433950120868984732072114192573707162887967786397959608570837770245957712237320990678891691963800479321114677981958809860920679918458276038741970362713276163542050762104060056766673683089133238221912172527458063288983449099805454121177585527797071059086507919160591615420599837392271735383659295929551924095406201476741036366582967138312836410016955424908319335448831653319552327344012554059768909550428963810250871028752258316539970499384289082382278362787927766872827846746910891623657118171660861438413913449338268470581843439039001811306643710322489341075747389997823808364619736380598179372434553288017593045482164243192946399622975576039266892957777880103300047322071014611582655096916779994762744588831103386916837920161319846324647775349280706220971190393893000904342303746597070016018023930622988776661507969266243023386261449814510143796062817244207833355753990872900079298819127882952696785407640631918252337017914507914741706192114362629430511246406493708119612077278716120491383754205135735010995784004759076956145998574738435778021828142740461956836944218585911051277537853265940319959497553944693683167913108067266346308660368192731433827221193618570175498265782803972722776405623211045934259033424169717291852233489934259356688273073489616284207497452541680290034017570827789862950979251962976963971824151169478674599361437256549665415312268674199755358464978796198390763223459377368071795204349684524170415657609772527516621598191999811245935149534387724572904242242920210831732274734750755884342184800377100023888278333102349839592173947988390309624597209696756827702407732848727978023154726125293864091168154276253114611653174308466406464554795606442816995705353377596407603807161080727428463326278843645386133560292632053613436510984072468619314066303747469544020349181360684320661265122737615973085065329216048400145347420832671964977167482349710209230624616641138035380179880366420524640862870749460023049967467611434498790295316448957382327224319657526249608592758985778499024819201127925331986782331676892919521716701168268293277831157542294085900229938217515332090645392226601447131127673226686535082078182246984152366131124056469804033885162402602749242190302502132836326800012086231540905731314743818891175198437858641195889371081149956942380140943444687369043924781102970188687495243666625517668694933345050203289443892709091605824756680615801696903902828934023337443612095690226192912462962162775621980932110384733726842068553832247943683169448313758284030454934897377621816306978813409878974640014722462823862448168388426262978824102994438253931188984027635930615539686339729689081620616985817933978904937302961768625617989462744164702318465680621478986037971124544740127308627132561271873829374370019658602358778501657320141977914441952988127469888574672092834184284267830962785211217632804374615335088188037852131111506521534533453901128664329346215633185393768647706834206196138081509802961562456254950242599530899559810677494123898403785531329797903074488073116885292355178587510707429450279139038009950419732719994815533367890731909633002857517581243286036194041098804447177036108351392472099440227280831903250721923400371332624346763769818271031678090502529360267195420796382247876084367368061573442284616186469269872905535313330695540718239217758974123067818953715917044195360416937180864669241738364272591942815354535046097070407269983831629008445761973700391018263061196116265021862185314891228091349436620420363613954656615198360477888299725175220391746276908366958681629298587280353164971081473147456402332896993293425738966005879785203876040207743563527503501124282656372408143584055066315492494957589463721654236852377456907637423062989020399186728347538291600160905686246200400773456316952266913432792895588627275422382941301211354453080679070342030261920313400110898230478474150393201743834954976537260298720502325101380759044508287049936577544509197733226334066499661123559128872263837062287220116280434428519271290862363420942631953966654924927150689326733780645834011141779742651253453907311454424576013656984540330633488210691451506878202661554082686787446582335068356331198878963175106743596547666954406267060920652589497653014609662540302258611085785271809972120401759345326257476354519422573431174705430782073888038820610467048120185553006226843107233930351477747914906303989687640954065557895773388499500169043909494767194927928404678344530331459168414354444716542726809852159503232090855472243345945961824230633931162137492340399897436929931943923449964326717527142241618644322647164871791269845331836525428071193266855296172636750267}
30418 1006551474161341785020032686280207832755461931439566442066238637302937814013058401355574: {790478,881281,1337732,2154637,2795972,3192315,3405136,3800375,3830778,4510081,4560450,4864480,5472540,5591576,5708996,5837376,5881886,6244478,6290523,6567048,6606926,7387929,7751377,8132996,8468497,8661435,8859572,9238864,9501326,9862478,10393722,10434637,10791181,10849587,11666078,11681281,12125211,12246452,12916175,12971396,13037739,13825646,14434775,14694157,15407223,15499410,16532704,16697006,17055278,17233688,17321730,17861581,18081455,18386555,18476512,18486926,18599292,18844478,19359067,19387899,19586715,19611181,20134657,20786076,20831617,20892496,20926772,21589976,21697746,21728135,22063866,23090372,23504058,24288723,25491332,25739483,25830650,25965278,26022097,26073762,26145987,26193997,27382526,27409796,27655810,28128692,29857166,29957581,30297997,30996780,31126175,31995757,32761498,33063232,33186972,33391796,33869492,34697197,35537617,36538478,36770690,37078107,37196136,37351410,37448132,37547281,38162996,38715586,38874507,39508300,39841504,40873681,41700781,41845653,42689787,43515278,44105415,44108996,44124828,44821692,44991181,46136017,46279175,46636046,46802140,46824315,47045776,47409960,47927917,48010227,48140852,49055246,49387537,49945936,50196651,50570624,50821175,51163597,51690692,51807277,52770637,52926498,53336205,53411437,53571457,54210817,55055371,55307980,55535010,55940996,56162568,56189178,56280781,56666211,56891952,58297796,58654081,59237344,59441581,59756077,60227281,60541057,60563288,60705278,60985410,62261677,62666555,62743886,63040897,63115035,63182889,63818317,64003446,64281147,64645172,64903681,65051104,65348996,65518684,66130046,66369576,66642012,66860200,67217581,67224452,67322704,67459775,67678417,68133699,68536635,68863796,69209857,70598936,71245815,72099757,72181239,72188846,72553681,72859166,73105744,73182492,74532446,74665773,74854655,75199866,75217725,75563281,75738042,75995536,76525175,77355217,77735732,78247297,78650530,78666932,79011400,79284781,79423803,80023681,80062772,80232240,80320715,80760781,80951730,81189566,81496081,82154372,82243962,82522477,83392904,84419281,84886616,85145581,85494978,85580497,85581056,85665307,85815278,86144606,86348512,87089667,87601537,88088315,88182212,88355211,88887825,89107652,89429966,89523650,89825586,90179835,90261270,90891181,91067246,91649972,91830210,92008856,92026477,92700926,93425163,93439117,93598120,93679406,93817017,94002157,94380636,94680411,94813680,94844557,95124781,95307326,95497443,95544577,95632478,96191824,96275288,96278688,96384858,96939217,97012707,97142076,97256078,97873796,97911181,97952224,98142603,98879617,99293581,...,45429749201637942646239067751864325934399728124745761385824532620166782116616560623792443243036560465516839060933519273077785001207381289949907518632788981720866337992264422265036876704671257525199311708888098574583898235192520378420871622439087428932578600161158646309429485590098276217183957048530612811427783693661276949649761320905188922618400639094819570642611746481227573224611034718322627150284368218056067682805413409022231577452177650962549563369944084385311265466407272161570114037062761412115343892214122153894133116523028980511545727906069232127208268635654715155443956184417115213355940566544425780598442204426069769792016738746358546067238618413667828038336344422053293999179052109843037817050570355830437128995881188831542824228881148584551884599117691294109124585385335748408858280429985788100996519997098411152826315174130905829912737717356790727309552324257261866163967434719022523943703840137733396429428019482110206795889039993016992785108137849222450560215093128432863700465707608294628253858524001205789738328796093354690698574163985035548677292354990697848348599752680191728083756325610444474338654497200105731758837177270262380543520842557669782690552677219655608256152483505907348328541991610826149436371621493988511672273514313347994378673012102608194664766317914370695770856987282609115925624781214735036717137687920426612663405259591577557217477423021795078213824256975245102961591491426900664354377071963630368540830948061245678711232226289722469644653245679142251030764652821712276663270055573720045356761103719817267972335950635951962432201559304899465815249675399553887083024898933007144619971728264521017631279169824095726939132912698893887543479696703355495464255999748327913532712516966097205656323893614442309699646334341179122913067169466698517704444136466452789565263984520412832796279595675770269876977131637304030872968167058485454890872368337486148870899077955208619406394141923755994273804503461876805076214774303237951101705124860514844747056842738151248681312096624825752088404996626058693798908480912427548353496983487964113420438954731200193796561110229286636223309799613612307499488854850713840239840488560699521150494332613364066623290148579331720393755265276509769632426210034999478123678647704665366425601503900442649043108902523892695622268224357724370441543389725447866973250956687109454193856302135262841503564302248713442770909662645536488174832075293072045180216536803665656253736669510448435733349448308721207641752991758521566931250478188261185828108199942589840187924592916492058566374803960251583326991555500690224926577793400271052591856945455474433008907487735595871870438578697783258149460920301590549950616217034162641242813846311635789424738442997258244225931085011045373939913196503495755075971751213171966186686296617098483264224517901683971765470659251005241585312036847907487386248452972918775494155981090578638539916403949024834157319283658886269757954240828638648050628166059653503078169510081695831772499160026211469811704668876426855970552589270650836626518099562790445579045690441283713614956843739166153780117584050469508148675362046044605201504885772461620844247191691530275778941594850775346403948749941673266990132707866079747569992165197871714041773063870765984097489180389806904783347609905933705518717346600559643626659754044490520975879510670476690108324381381592054798405929569381477801856629465920303041109204334295897867161776832462351693091028042237454003372480356260561061842997168112489824082097923046154915292359830540713751107594054290985623678632164090425271621222725593813889249574486225655651152363455923753806046728129427209693311775505344594349298267188024350748261488353362482913753188304121799248827227151485272875486931147303851066300233627188995035877822611575505731449707137553294775297529941869777195991057900985288007839713605168053610324751370004668165710208496544191445406755087323326610119284962205649136503275876849897417318693865582304463384388800214540914994933867697941755936355884577057194118169700563177255068281805937440905427122707015893751200147864307304632200524268991779939968716347064960669766801841012059344382733248770059345596977635112088666214831412171829685116083049626821707245904692361721149817894590175938622206566569534252435645040861112014855706323535004605209748605899434684875979387107511317614255268675837603548738776915716595443113424475108265171950900142324795396889272541689414560870119330204019479550053736344814781047029079962827202345793768343301806025896764574899607241042765184051760813956064160247404008302457476311907135303663886541738652916854605420743861031184666000225391879326356259903904539571126040441945557885805926288723635746469546004309454473962991127927949098974178574882849989787199863249239909258564599952435623369522988824859096862886495721693127109115367237428257689140394896849000356}
30419 1009658183447942253151672650161965719566942306015385351966148986917328651013992618824041: {1185717,1672165,2006598,2979494,3494965,4193958,4256420,4892629,5107704,5683117,5746167,6080600,6351301,6715969,6840675,6989470,7136245,7296720,7783168,8084006,8208810,8387364,8563494,8756064,8822829,9366717,9850572,9910389,10166245,10272158,11074465,11365486,11548580,12199494,13289358,13695517,13858296,14251989,14466116,14793717,15079477,15308065,15590583,16166948,16214245,17383652,17499117,18280934,18369678,18891229,19457094,20254789,20362837,20542964,20665880,20738469,21542110,22361317,23095640,23249115,23276149,24799056,25045509,25582917,25850532,25982595,26115620,26158465,26987470,27714768,27730389,27898938,28266717,28862965,28930328,29213054,29418488,29682301,30559429,31179114,31338744,31390158,31463617,31864165,32384964,32546619,32718517,33095799,33671077,34012261,34262245,34635558,34765016,34861316,35160865,35256087,35772326,37842709,38236998,38571037,38745975,38947917,39110643,39390406,40723789,41073789,41114694,41165054,41329040,41483715,41739745,42193038,42336865,42780109,43702694,44206837,44249296,44500417,44785749,45618397,45863569,46027297,46281301,46495170,46810165,47703745,49142247,49385375,49437476,49594501,49594848,49780458,49801880,50087694,50804238,50912317,51832676,52992877,53909089,54685294,54807717,55136245,55156035,55369798,55552717,55794204,56027115,56132929,56172198,56919716,57244494,57867517,58073379,58502675,58807220,58833104,58907366,58917589,59262450,59762256,60176065,60864046,61585669,61774069,62038429,62426821,62432420,63213280,63967526,64013636,64613365,65272917,65467237,65610214,66163494,66187242,66195109,66496094,66928868,67232538,67413517,69106117,69134975,69926245,69954069,70087237,70203210,70568664,71114940,71764117,72165166,72211278,72872245,72948949,72968791,73341661,73582869,73971358,74046680,74275789,74883424,74918904,75308398,75339541,75361957,75524629,75554948,75704110,75855936,76434254,76630849,77536038,79314301,79389747,80507749,80806465,81313880,81686245,81898355,82709566,82961970,83302515,83575250,83911494,84030565,84057949,84153380,84167846,84240877,84243852,84283767,85149217,85214209,85337928,85708196,86079745,87446694,88223677,88248670,88415749,88492768,88856016,89181301,89838397,90844932,91017638,91057917,91230766,91382180,91478115,91968589,94115829,94243814,94769989,94994420,95346109,96005169,96241652,96760286,96967758,97169665,97576656,98023494,98095117,98278026,98333665,98764250,99034918,99195069,99554364,99754849,99963018,...,68144623802456913969358601627796488901599592187118642078736798930250173174924840935688664864554840698275258591400278909616677501811071934924861277949183472581299506988396633397555315057006886287798967563332147861875847352788780567631307433658631143398867900241737969464144228385147414325775935572795919217141675540491915424474641981357783383927600958642229355963917619721841359836916552077483940725426552327084101524208120113533347366178266476443824345054916126577966898199610908242355171055594142118173015838321183230841199674784543470767318591859103848190812402953482072733165934276625672820033910849816638670897663306639104654688025108119537819100857927620501742057504516633079940998768578164764556725575855533745655693493821783247314236343321722876827826898676536941163686878078003622613287420644978682151494779995647616729239472761196358744869106576035186090964328486385892799245951152078533785915555760206600094644142029223165310193833559989525489177662206773833675840322639692649295550698561412441942380787786001808684607493194140032036047861245977553323015938532486046772522899629020287592125634488415666711507981745800158597638255765905393570815281263836504674035829015829483412384228725258861022492812987416239224154557432240982767508410271470021991568009518153912291997149476871556043656285480923913673888437171822102555075706531880639918995107889387366335826216134532692617320736385462867654442387237140350996531565607945445552811246422091868518066848339434583704466979868518713376546146979232568414994905083360580068035141655579725901958503925953927943648302338957349198722874513099330830624537348399510716929957592396781526446918754736143590408699369048340831315219545055033243196383999622491870299068775449145808484485840421663464549469501511768684369600754200047776556666204699679184347895976780619249194419393513655404815465697455956046309452250587728182336308552506229223306348616932812929109591212885633991410706755192815207614322161454856926652557687290772267120585264107226873021968144937238628132607494939088040698362721368641322530245475231946170130658432096800290694841665343929954334964699420418461249233282276070760359760732841049281725741498920046099934935222868997580590632897914764654448639315052499217185517971556998049638402255850663973564663353785839043433402336536586555662315084588171800459876435030664181290784453202894262255346453373070164156364493968304732262248112939608067770324805205498484380605004265672653600024172463081811462629487637782350396875717282391778742162299913884760281886889374738087849562205940377374990487333251035337389866690100406578887785418183211649513361231603393807805657868046674887224191380452385824925924325551243961864220769467453684137107664495887366338896627516568060909869794755243632613957626819757949280029444925647724896336776852525957648205988876507862377968055271861231079372679459378163241233971635867957809874605923537251235978925488329404636931361242957972075942249089480254617254265122543747658748740039317204717557003314640283955828883905976254939777149344185668368568535661925570422435265608749230670176376075704262223013043069066907802257328658692431266370787537295413668412392276163019605923124912509900485199061799119621354988247796807571062659595806148976146233770584710357175021414858900558278076019900839465439989631066735781463819266005715035162486572072388082197608894354072216702784944198880454561663806501443846800742665248693527539636542063356181005058720534390841592764495752168734736123146884569232372938539745811070626661391081436478435517948246135637907431834088390720833874361729338483476728545183885630709070092194140814539967663258016891523947400782036526122392232530043724370629782456182698873240840727227909313230396720955776599450350440783492553816733917363258597174560706329942162946294912804665793986586851477932011759570407752080415487127055007002248565312744816287168110132630984989915178927443308473704754913815274846125978040798373456695076583200321811372492400801546912633904533826865585791177254550844765882602422708906161358140684060523840626800221796460956948300786403487669909953074520597441004650202761518089016574099873155089018395466452668132999322247118257744527674124574440232560868857038542581724726841885263907933309849854301378653467561291668022283559485302506907814622908849152027313969080661266976421382903013756405323108165373574893164670136712662397757926350213487193095333908812534121841305178995306029219325080604517222171570543619944240803518690652514952709038845146862349410861564147776077641220934096240371106012453686214467860702955495829812607979375281908131115791546776999000338087818989534389855856809356689060662918336828708889433085453619704319006464181710944486691891923648461267862324274984680799794873859863887846899928653435054284483237288645294329743582539690663673050856142386533710592345273500534}
30420 1012774426029882284100163958972987495567163140686811031457909619738397672443648083285414: {516851,881339,942059,1580956,1609451,1762562,2215331,2396939,2675464,2941331,3009897,3062219,3243491,3424691,3847211,4309274,4469241,4510379,4570619,5052251,5320525,5413139,5591944,5953931,6290937,6384630,6733931,6810272,7033571,7213259,7572419,7600750,7661556,8469059,8528771,9020162,9120900,9244691,9363899,9542651,9728960,9959459,10484205,10494779,10945080,11183152,11207531,11417992,11674752,11763772,12126009,12274499,12313215,12488956,12581046,12845241,12925259,13134096,13213852,13811099,14435725,14775858,14930579,15048251,15408237,15502754,16164539,16265992,16340531,16633691,16936994,16985219,17048229,17322870,17511971,17719144,17921219,18082645,18299241,18388451,18477728,18796859,19002652,19612499,19670699,19724956,19934037,20208685,20787444,20869274,21582362,21699174,21729565,22281419,22454891,23321171,23332156,23362562,23955299,24250422,24300779,24492904,24818459,25220651,25314037,25678705,25741177,25832350,25942792,26075478,26081171,27111419,27421401,27554517,27625571,27651292,27910931,28481051,28765811,28869550,28936571,29164139,29185641,29334731,29388314,29675699,29959619,30016379,30300059,30356771,30419389,30814446,30998820,31884971,32054411,32313165,32505899,32644525,32731451,32900531,33065408,33394012,33688619,34110556,34467376,34643460,35428091,35723162,35875739,36162910,36773110,36953024,36973852,37198584,37382771,37549859,37605539,37688956,37772531,38384219,38718134,38775798,39173430,39222362,39549299,40269314,40481205,40600379,41572152,41663234,41784992,41848407,41853544,42254099,42583979,43023371,43179952,43188011,43352579,43395492,43456270,43576645,43681499,43819581,44127732,44721179,44830451,45648971,46180744,46302491,46465691,46768671,46846211,47008116,47085237,47931251,47985419,48577446,48742931,49067099,49444931,49714571,50414699,50898611,50982664,51220859,51478966,51542819,51661300,51930556,51953337,52044194,52132331,52147524,52291974,52387994,52774331,53148299,53415179,53468531,53628539,53658489,54374291,54765052,54819592,55311620,56125931,56257384,56496371,57130499,57288851,57355497,57552611,58658219,59085609,59714332,59760299,59812691,59915162,60283859,60440771,60545339,60595994,60597611,61672041,61747581,61796845,61993560,62252350,63045371,63097259,63289557,63874619,63991514,64598531,64790845,64908299,64959899,65522996,65526971,65554041,65681459,65990219,66126464,66373944,66783592,66966059,67068611,67738984,67836731,68194571,68756099,68960051,69112931,69214811,69394394,69742755,69876251,71075234,71149645,72155411,72760451,72861179,73076956,73509025,73515131,73541380,73766291,74117579,74156214,74268011,74392272,74418371,74518571,74670687,74702820,74896264,75094562,75131541,75319019,75568739,75618659,76206357,76325992,76515851,77062859,77410451,77431172,77749014,78040525,78252971,79016600,79290539,79683008,80017045,80766659,81355091,81550979,81747362,82027941,82528499,82821131,83054697,83401562,83661085,83691306,84258297,84279971,85200179,85379574,85586771,85866741,86310251,86647259,87030556,87320099,87733177,87799739,88210830,88217992,88249656,88361049,88893675,89643384,89805491,89982362,90185939,90518411,90613331,90897899,90945299,91296069,91608059,92272034,92558350,92646371,93272092,93305099,93446051,93493019,93604280,93648630,94091552,94196579,94443685,94617851,94819920,94851611,94898339,95131859,95178539,95551691,95598299,95855834,95877779,95951289,96020454,96110459,96281704,96714491,97409771,97548611,98110492,98415321,98656739,98775074,98794931,99071099,99245241,99280863,99301019,99484811,99622571,99744141,99760259,99891872,...,102216935703685370954037902441694733352399388280677963118105198395375259762387261403532997296832261047412887887100418364425016252716607902387291916923775208871949260482594950096332972585510329431698451344998221792813771029183170851446961150487946715098301850362606954196216342577721121488663903359193878825712513310737873136711962972036675075891401437963344033945876429582762039755374828116225911088139828490626152286312180170300021049267399714665736517582374189866950347299416362363532756583391213177259523757481774846261799512176815206150977887788655772286218604430223109099748901414938509230050866274724958006346494959958656982032037662179306728651286891430752613086256774949619911498152867247146835088363783300618483540240732674870971354514982584315241740348014805411745530317117005433919931130967468023227242169993471425093859209141794538117303659864052779136446492729578839198868926728117800678873333640309900141966213043834747965290750339984288233766493310160750513760483959538973943326047842118662913571181679002713026911239791210048054071791868966329984523907798729070158784349443530431388188451732623500067261972618700237896457383648858090356222921895754757011053743523744225118576343087888291533739219481124358836231836148361474151262615407205032987352014277230868437995724215307334065484428221385870510832655757733153832613559797820959878492661834081049503739324201799038925981104578194301481663580855710526494797348411918168329216869633137802777100272509151875556700469802778070064819220468848852622492357625040870102052712483369588852937755888930891915472453508436023798084311769648996245936806022599266075394936388595172289670378132104215385613049053572511246972829317582549864794575999433737805448603163173718712726728760632495196824204252267653026554401131300071664834999307049518776521843965170928873791629090270483107223198546183934069464178375881592273504462828759343834959522925399219393664386819328450987116060132789222811421483242182285389978836530936158400680877896160840309532952217405857942198911242408632061047544082052961983795368212847919255195987648145200436042262498015894931502447049130627691873849923414106140539641099261573922588612248380069149902402834303496370885949346872146981672958972578748825778276957335497074457603383775995960346995030678758565150103504804879833493472626882257700689814652545996271936176679804341393383019680059605246234546740952457098393372169409412101655487207808247726570907506398508980400036258694622717193944231456673525595313575923587668113243449870827140422830334062107131774343308910566062485730999876553006084800035150609868331678127274817474270041847405090711708486802070012330836287070678578737388886488326865942796331154201180526205661496743831049508344941274852091364804692132865448920936440229636923920044167388471587344505165278788936472308983314761793566952082907791846619059019189067244861850957453801936714811908885305876853968388232494106955397041864436958113913373634220381925881397683815621488123110058975807076335504971960425933743325858964382409665724016278502552852803492888355633652898413123846005264564113556393334519564603600361703385992988038646899556181305943120502618588414244529408884687368764850727798592698679432032482371695211356593989393709223464219350655877065535762532122288350837417114029851259198159984446600103672195728899008572552743729858108582123296413341531108325054177416298320681842495709752165770201113997873040291309454813095034271507588080801586262389146743628253102104184720326853848559407809618716605939992086622154717653276922369203456861147751132586081250811542594007725215092817775828446063605138291211221809951494887025337285921101173054789183588348795065586555944673684274048309861261090841863969845595081433664899175525661175238830725100876044887895761841059494913244419442369206998690979880277216898017639355611628120623230690582510503372847969117224430752165198946477484872768391164962710557132370722912269188967061197560185042614874800482717058738601202320368950856800740298378686765881826267148823903634063359242037211026090785760940200332694691435422451179605231504864929611780896161506975304142277133524861149809732633527593199679002199498983370677386616791511186861660348841303285557813872587090262827895861899964774781452067980201341937502033425339227953760361721934363273728040970953620991900464632074354520634607984662248060362339747005205068993596636889525320230789643000863218801182761957768492959043828987620906775833257355815429916361205278035978772429063558267720293524116292346221664116461831401144360556659018680529321701791054433243744718911969062922862196673687320165498500507131728484301584783785214035033590994377505243063334149628180429556478509696272566416730037837885472691901793486412477021199692310789795831770349892980152581426724855932967941494615373809535995509576284213579800565888517910250801}
30421 1015900230991639094713260181328122339868023675721281545141044545945684142086666497728127: {1976195,2341031,2371434,2643843,3344330,4013196,4892951,5958988,6351719,6463911,6716411,6989930,7506083,8387916,8512840,9576945,9785258,9990743,10215408,11366234,11401125,11492334,12161200,12702602,13431938,13530243,13681350,13978940,14232743,14272490,14363591,14593440,14704715,15504251,15566336,15611195,16168012,16185611,16417620,16517315,16774728,17126988,17512128,17645658,18733434,18871569,19100843,19701144,19820778,20332490,20544316,21431291,21651671,22148930,22163787,22699943,22730972,23097160,23254131,23753315,24065171,24398988,24656195,25405491,25984305,26427011,26578716,27391034,27716592,28503978,28932232,29165195,29587434,30158954,30616130,31181166,31303911,32333896,32343971,32373543,32428490,32548761,34337831,34564115,34767304,34998234,35043843,35079083,35165219,36375633,36561868,36621851,36739356,37782458,38748525,38914188,39113217,39793091,40408151,40452551,40509578,40725674,41085928,41331760,41476938,41545043,41742515,42638195,43084220,43304325,44082471,44609831,44722634,45514823,46191280,46217315,46221669,46284359,46498230,46552298,47111195,47813063,47967143,48272531,49225211,49598112,49976243,50091018,50260199,51165834,51259283,51701064,51965190,52231240,52246931,52316930,53584743,53912651,53974940,54244365,54696083,55089623,55159665,55429536,55460778,55797876,56533434,57725930,57860656,58077201,58163697,58426108,58435643,58611683,58760145,58833543,58836976,59271611,59364602,60403971,61118858,62358228,62494851,62677488,62736803,62780316,62927234,62980871,63728330,64185323,64576625,64769928,64913195,65093238,65184405,65437034,65534231,65653211,66131879,66191598,66732119,66785243,67342154,68024522,68439011,68456315,68524490,69139525,69271116,69447083,69530032,69722632,70321730,70512174,71544652,72866169,74048711,74642915,75344519,75685418,75827819,76025939,76473996,76919303,77142074,77190743,77218449,77370371,77491950,77659451,77895834,77979911,78066291,78221286,78437961,78581991,78780812,79632251,79978019,81447578,81903745,82147578,82229388,82330108,82658080,82830371,82967430,83269811,83479490,83797811,84246491,84386076,84673730,85560218,85646243,86907371,87405388,88413674,88421591,88498592,89000834,89064131,89571498,89844359,89872743,90458711,90708851,90893991,91091051,91236794,91346195,91727138,91815251,91926725,92054594,92527271,92562602,92990340,92996171,93378525,93620330,93735083,95407490,95436743,95987271,96738023,96788965,97896743,97982531,98284494,98770750,98874952,99122291,99189002,99189696,99560916,99603760,...,136289247604913827938717203255592977803199184374237284157473597860500346349849681871377329729109681396550517182800557819233355003622143869849722555898366945162599013976793266795110630114013772575597935126664295723751694705577561135262614867317262286797735800483475938928288456770294828651551871145591838434283351080983830848949283962715566767855201917284458711927835239443682719673833104154967881450853104654168203048416240227066694732356532952887648690109832253155933796399221816484710342111188284236346031676642366461682399349569086941534637183718207696381624805906964145466331868553251345640067821699633277341795326613278209309376050216239075638201715855241003484115009033266159881997537156329529113451151711067491311386987643566494628472686643445753655653797353073882327373756156007245226574841289957364302989559991295233458478945522392717489738213152070372181928656972771785598491902304157067571831111520413200189288284058446330620387667119979050978355324413547667351680645279385298591101397122824883884761575572003617369214986388280064072095722491955106646031877064972093545045799258040575184251268976831333423015963491600317195276511531810787141630562527673009348071658031658966824768457450517722044985625974832478448309114864481965535016820542940043983136019036307824583994298953743112087312570961847827347776874343644205110151413063761279837990215778774732671652432269065385234641472770925735308884774474280701993063131215890891105622492844183737036133696678869167408933959737037426753092293958465136829989810166721160136070283311159451803917007851907855887296604677914698397445749026198661661249074696799021433859915184793563052893837509472287180817398738096681662630439090110066486392767999244983740598137550898291616968971680843326929098939003023537368739201508400095553113332409399358368695791953561238498388838787027310809630931394911912092618904501175456364672617105012458446612697233865625858219182425771267982821413510385630415228644322909713853305115374581544534241170528214453746043936289874477256265214989878176081396725442737282645060490950463892340261316864193600581389683330687859908669929398840836922498466564552141520719521465682098563451482997840092199869870445737995161181265795829529308897278630104998434371035943113996099276804511701327947129326707571678086866804673073173111324630169176343600919752870061328362581568906405788524510692906746140328312728987936609464524496225879216135540649610410996968761210008531345307200048344926163622925258975275564700793751434564783557484324599827769520563773778749476175699124411880754749980974666502070674779733380200813157775570836366423299026722463206787615611315736093349774448382760904771649851848651102487923728441538934907368274215328991774732677793255033136121819739589510487265227915253639515898560058889851295449792673553705051915296411977753015724755936110543722462158745358918756326482467943271735915619749211847074502471957850976658809273862722485915944151884498178960509234508530245087495317497480078634409435114006629280567911657767811952509879554298688371336737137071323851140844870531217498461340352752151408524446026086138133815604514657317384862532741575074590827336824784552326039211846249825019800970398123598239242709976495593615142125319191612297952292467541169420714350042829717801116556152039801678930879979262133471562927638532011430070324973144144776164395217788708144433405569888397760909123327613002887693601485330497387055079273084126712362010117441068781683185528991504337469472246293769138464745877079491622141253322782162872956871035896492271275814863668176781441667748723458676966953457090367771261418140184388281629079935326516033783047894801564073052244784465060087448741259564912365397746481681454455818626460793441911553198900700881566985107633467834726517194349121412659884325892589825609331587973173702955864023519140815504160830974254110014004497130625489632574336220265261969979830357854886616947409509827630549692251956081596746913390153166400643622744984801603093825267809067653731171582354509101689531765204845417812322716281368121047681253600443592921913896601572806975339819906149041194882009300405523036178033148199746310178036790932905336265998644494236515489055348249148880465121737714077085163449453683770527815866619699708602757306935122583336044567118970605013815629245817698304054627938161322533952842765806027512810646216330747149786329340273425324795515852700426974386190667817625068243682610357990612058438650161209034444343141087239888481607037381305029905418077690293724698821723128295552155282441868192480742212024907372428935721405910991659625215958750563816262231583093553998000676175637979068779711713618713378121325836673657417778866170907239408638012928363421888973383783847296922535724648549969361599589747719727775693799857306870108568966474577290588659487165079381327346101712284773067421184690547001068}
30422 1019035627505907109263737291936626673739906723057653108416048483928766349106006234838898: {577657,942121,1033702,1762678,1884118,3122857,3161912,3218902,3304117,3525124,3557151,4430662,4570921,4793878,4932217,5016495,5350928,5473621,5882662,6014377,6019794,6124438,6374521,6486982,6849382,7273621,7448735,7694422,8529337,8618548,8938482,9020758,9141238,9424117,9960121,10104502,10484895,10641050,10826278,11183888,11907862,12275317,12581874,12769260,12985237,13162537,13467862,13620544,13871017,14067142,14426518,14677887,15144838,15201500,15323112,16165621,16938118,17044921,17049351,17057542,17238501,17473675,18040324,18241800,18448057,18489382,18727798,19053903,19085302,19457920,19672021,19918918,20147907,20210015,20522025,20968410,20989558,21408735,21890160,21935737,22282921,22366304,22415062,22835984,23349504,23527544,24014521,24252018,24359977,24548998,24626430,24977912,25162092,25222357,25315703,25680395,25690482,25850518,26268192,26427704,26468487,27622198,28100151,28292159,28413715,28871450,29551716,29731167,29861158,30018421,30096502,30358837,30421391,30498735,30528937,30816474,31005508,32329078,32531984,32681062,33223395,33267382,33747157,33873988,33970438,34096458,34252921,34645740,35023942,35094421,35430517,35438288,35842438,35934121,35950187,36165290,36437077,36598482,36776902,36955456,37593718,37608121,38005304,38442421,39224998,39341398,39449912,39868074,40417370,40447759,40603177,41086551,41574888,41738548,42755967,43081237,43164724,43398348,43459130,44381151,44560297,44562838,44909782,45238431,45543097,45702335,45924195,46360117,46642342,46664312,46725124,46771749,47826217,47910598,47988757,48500844,48601558,48638197,48642735,48800377,48985808,49636918,50256757,50418217,50441302,50628074,51357410,51482354,51546421,51664700,51885584,52150956,52162342,52350121,52497351,53472277,53855275,54222838,54842802,55109034,55251142,55302584,55821862,56658997,56673687,56962102,57134521,57531622,57609397,57739100,57873142,58328278,58371282,58669462,58776628,59351398,59816917,59919238,60032758,60600118,60601897,60713542,60764367,60838778,61007303,61088511,61628892,61997640,62166457,62215407,62634421,63101737,63769942,64108822,64626330,64964521,65011798,65289050,65462902,65737621,65801062,66130816,66508921,66788024,67083951,67377238,67468675,68221112,68934752,69286920,69747345,69828447,69881257,70338421,70794937,70856182,71446324,71751478,72325820,73032635,73546220,73821817,73906048,73947704,74122921,74397168,74423737,74574037,74765542,75099718,75136527,75211078,75377912,75545062,75624121,76073077,76748751,76768438,77118121,77436268,77551596,77947785,78346860,78444724,78475395,79098598,80538628,80962410,81200758,83144304,83191167,83326468,83569984,83696814,83707088,83752021,84508198,84800151,85167958,86046742,86220217,86359904,86364757,86376022,86515583,86588895,86653621,86705158,86790984,86912540,87153290,87362998,87639162,88255464,89046903,89430815,89442358,89660902,89812117,89954857,90240121,90707183,90952021,91297942,91662121,91678287,92361488,92604982,92931382,93359017,93499957,93537342,93692422,94016232,94170474,94390851,94905397,95185621,95592495,95605417,95862502,95970838,96164137,97154892,97485862,97639857,98134198,98155551,98476015,98664121,98889862,99078517,99287397,99429142,99609503,99767737,...,204433871407370741908075804883389466704798776561355926236210396790750519524774522807065994593664522094825775774200836728850032505433215804774583833847550417743898520965189900192665945171020658863396902689996443585627542058366341702893922300975893430196603700725213908392432685155442242977327806718387757651425026621475746273423925944073350151782802875926688067891752859165524079510749656232451822176279656981252304572624360340600042098534799429331473035164748379733900694598832724727065513166782426354519047514963549692523599024353630412301955775577311544572437208860446218199497802829877018460101732549449916012692989919917313964064075324358613457302573782861505226172513549899239822996305734494293670176727566601236967080481465349741942709029965168630483480696029610823491060634234010867839862261934936046454484339986942850187718418283589076234607319728105558272892985459157678397737853456235601357746667280619800283932426087669495930581500679968576467532986620321501027520967919077947886652095684237325827142363358005426053822479582420096108143583737932659969047815597458140317568698887060862776376903465247000134523945237400475792914767297716180712445843791509514022107487047488450237152686175776583067478438962248717672463672296722948302525230814410065974704028554461736875991448430614668130968856442771741021665311515466307665227119595641919756985323668162099007478648403598077851962209156388602963327161711421052989594696823836336658433739266275605554200545018303751113400939605556140129638440937697705244984715250081740204105424966739177705875511777861783830944907016872047596168623539297992491873612045198532150789872777190344579340756264208430771226098107145022493945658635165099729589151998867475610897206326347437425453457521264990393648408504535306053108802262600143329669998614099037553043687930341857747583258180540966214446397092367868138928356751763184547008925657518687669919045850798438787328773638656901974232120265578445622842966484364570779957673061872316801361755792321680619065904434811715884397822484817264122095088164105923967590736425695838510391975296290400872084524996031789863004894098261255383747699846828212281079282198523147845177224496760138299804805668606992741771898693744293963345917945157497651556553914670994148915206767551991920693990061357517130300207009609759666986945253764515401379629305091992543872353359608682786766039360119210492469093481904914196786744338818824203310974415616495453141815012797017960800072517389245434387888462913347051190627151847175336226486899741654280845660668124214263548686617821132124971461999753106012169600070301219736663356254549634948540083694810181423416973604140024661672574141357157474777772976653731885592662308402361052411322993487662099016689882549704182729609384265730897841872880459273847840088334776943174689010330557577872944617966629523587133904165815583693238118038378134489723701914907603873429623817770611753707936776464988213910794083728873916227826747268440763851762795367631242976246220117951614152671009943920851867486651717928764819331448032557005105705606985776711267305796826247692010529128227112786669039129207200723406771985976077293799112362611886241005237176828489058817769374737529701455597185397358864064964743390422713187978787418446928438701311754131071525064244576701674834228059702518396319968893200207344391457798017145105487459716217164246592826683062216650108354832596641363684991419504331540402227995746080582618909626190068543015176161603172524778293487256506204208369440653707697118815619237433211879984173244309435306553844738406913722295502265172162501623085188015450430185635551656892127210276582422443619902989774050674571842202346109578367176697590131173111889347368548096619722522181683727939691190162867329798351051322350477661450201752089775791523682118989826488838884738413997381959760554433796035278711223256241246461381165021006745695938234448861504330397892954969745536782329925421114264741445824538377934122395120370085229749600965434117477202404640737901713601480596757373531763652534297647807268126718484074422052181571521880400665389382870844902359210463009729859223561792323013950608284554267049722299619465267055186399358004398997966741354773233583022373723320697682606571115627745174180525655791723799929549562904135960402683875004066850678455907520723443868726547456081941907241983800929264148709041269215969324496120724679494010410137987193273779050640461579286001726437602365523915536985918087657975241813551666514711630859832722410556071957544858127116535440587048232584692443328232923662802288721113318037361058643403582108866487489437823938125845724393347374640330997001014263456968603169567570428070067181988755010486126668299256360859112957019392545132833460075675770945383803586972824954042399384621579591663540699785960305162853449711865935882989230747619071991019152568427159601131777035820501602}
30423 1022180644833863981291938785755382859780290150884519480037606451058330176279969504901336: {1550553,2644017,2766673,2826177,3952390,4406405,4682062,4742868,4828353,5287686,6645993,6688660,7190817,7506577,7688417,8026392,8782421,8823993,9029691,9186657,9730473,9785902,10274073,10773185,11541633,11917976,12703438,12927822,13407723,13432822,13531137,13711857,13979860,15012166,15156753,15961575,16239417,16775832,16975153,17025680,17861793,18872811,19001875,19153890,19570516,19981486,20201793,20430816,20586601,21100713,21348001,21639777,21855673,22550405,22717257,22732468,22802250,22984668,23124241,23696321,24322400,25405204,25407177,25586313,26863876,27060486,27362700,27734073,27957880,28091697,28465486,28544980,28627953,28727182,29186880,29409430,29686217,29878377,30438041,31008502,31132672,31222390,31452615,31484337,32336024,32371222,32835240,33034630,33254641,33549456,33622593,34253976,34518673,35024256,35291316,36378027,36823497,36939645,36992993,37466868,37743138,38201686,38224693,38535723,38756885,38775777,39402288,39641556,40581073,40664980,40831273,41088632,41172737,41362961,41433297,42342485,42785753,42862582,43303342,43307175,44297860,44327574,44791737,45144753,45399886,45461944,46194320,46224711,46508262,46634117,47506630,48130342,48389761,48493617,48797976,49021593,49312390,49901073,50810982,50955657,51003221,51144687,51968610,52173185,52535913,52854022,53157432,53763657,53955905,54247935,54699697,54782068,54897723,55165353,55433184,55855801,56390577,57007956,57864464,58192853,58330390,58406405,58439521,58837497,59012097,59174868,59398417,59693473,59802111,60317908,60626055,61232260,61746373,62362332,62435057,62607822,64580875,64667792,64687942,64704241,64747086,64856980,65097522,65188695,65955673,66844257,67364673,68611897,68675662,69128230,69534608,69963513,69996468,70087686,70158166,70330438,70496501,71865897,72173875,72751266,72902337,73123736,73243702,73351337,73470785,73478712,74236537,74455377,74551073,75160801,75534593,75564916,75661953,75942111,77036115,77223531,77497050,77828376,78155857,78226434,78243513,79526737,79586182,80816302,80905102,81019156,81334257,81451348,81875413,82171856,82264203,82663520,82663551,82876713,82953876,83090086,83274521,83485030,83732793,85276390,85443153,86168440,86297433,86608650,86795857,86809713,87331753,87492417,87512113,87556923,88004193,88164942,88587361,88728197,89027097,89219662,89307905,89445268,89848837,89878857,90049137,90407275,90878473,90900177,91029646,91070313,91200497,91258167,91932775,92382560,92434630,92443338,92568718,92996460,93104596,93656377,94222390,94519477,95133673,95626126,95654913,95838841,95934286,96163233,96545062,96795335,96939495,97073537,97517697,97933575,98055905,98194353,98450422,98701593,99196224,99952486,...,306650807111056112862113707325084200057198164842033889354315595186125779287161784210598991890496783142238663661301255093275048758149823707161875750771325626615847781447784850288998917756530988295095354034994665378441313087549512554340883451463840145294905551087820862588649027733163364465991710077581636477137539932213619410135888916110025227674204313890032101837629288748286119266124484348677733264419485471878456858936540510900063147802199143997209552747122569600851041898249087090598269750173639531778571272445324538785398536530445618452933663365967316858655813290669327299246704244815527690152598824174874019039484879875970946096112986537920185953860674292257839258770324848859734494458601741440505265091349901855450620722198024612914063544947752945725221044044416235236590951351016301759793392902404069681726509980414275281577627425383614351910979592158337409339478188736517596606780184353402036620000920929700425898639131504243895872251019952864701299479930482251541281451878616921829978143526355988740713545037008139080733719373630144162215375606898989953571723396187210476353048330591294164565355197870500201785917856100713689372150946574271068668765687264271033161230571232675355729029263664874601217658443373076508695508445084422453787846221615098962056042831692605313987172645922002196453284664157611532497967273199461497840679393462879635477985502243148511217972605397116777943313734582904444990742567131579484392045235754504987650608899413408331300817527455626670101409408334210194457661406546557867477072875122610306158137450108766558813267666792675746417360525308071394252935308946988737810418067797798226184809165785516869011134396312646156839147160717533740918487952747649594383727998301213416345809489521156138180186281897485590472612756802959079663203393900214994504997921148556329565531895512786621374887270811449321669595638551802208392535127644776820513388486278031504878568776197658180993160457985352961348180398367668434264449726546856169936509592808475202042633688482520928598856652217573826596733727225896183142632246158885951386104638543757765587962944435601308126787494047684794507341147391883075621549770242318421618923297784721767765836745140207449707208502910489112657848040616440945018876917736246477334830872006491223372810151327987881040985092036275695450310514414639500480417880646773102069443957637988815808530039413024180149059040178815738703640222857371295180116508228236304966461623424743179712722519195526941200108776083868151581832694370020576785940727770763004339730349612481421268491002186321395323029926731698187457192999629659018254400105451829604995034381824452422810125542215272135125460406210036992508861212035736212166659464980597828388993462603541578616984490231493148525034823824556274094414076398596346762809320688910771760132502165414762033515495836366809416926949944285380700856248723375539857177057567201734585552872361405810144435726655917630561905164697482320866191125593310874341740120902661145777644193051446864464369330176927421229006514915881277801229977576893147228997172048835507658558410478665066900958695239371538015793692340669180003558693810801085110157978964115940698668543917829361507855765242733588226654062106294552183395778096038296097447115085634069781968181127670392658051967631196607287596366865052512251342089553777594479953339800311016587186697025717658231189574325746369889240024593324975162532248894962045527487129256497310603341993619120873928364439285102814522764242404758787167440230884759306312554160980561545678223428856149817819976259866464152959830767107610370583443253397758243752434627782023175645278453327485338190815414873633665429854484661076011857763303519164367550765046385196759667834021052822144929583783272525591909536785244300994697526576983525716492175302628134663687285523178484739733258327107620996072939640831650694052918066834884361869692071747531510118543907351673292256495596839432454618305173494888131671397112168736807566901183592680555127844624401448151176215803606961106852570402220895136060297645478801446471710902190077726111633078272357282820600998084074306267353538815694514594788835342688484520925912426831400574583449429197900582779599037006598496950112032159850374533560584981046523909856673441617761270788483687585699894324344356203940604025812506100276017683861281085165803089821184122912860862975701393896223063561903823953986744181087019241015615206980789910668575960692368929002589656403548285873305478877131486962862720327499772067446289749083615834107936317287190674803160880572348877038664992349385494203433081669977056041587965105373163299731234156735907188768586590021061960496495501521395185452904754351355642105100772983132515729190002448884541288669435529088817699250190113513656418075705380459237431063599076932369387495311049678940457744280174567798903824483846121428607986528728852640739401697665553730752403}
30424 1025335312325437412986395284544781137786068838498631989713564707327815148622469974377678: {1155314,1884242,2067404,2518303,3062623,3525356,3768236,3968383,5928585,6245714,6323824,6437804,6608234,6854719,7023093,7050248,7114302,7931529,7932343,8360825,8861324,9141842,9365143,9587756,9864434,10032990,10428229,10615063,10701856,10947242,11765324,12028754,12039588,12248876,12749042,12973964,13698764,14547242,14678853,14897470,15050263,15388844,16635919,17058674,17237096,17474825,17514319,17876964,18041516,18282476,18848234,19055157,19391733,19920242,20149233,20209004,20313103,20835823,20969790,21282100,21652556,22367776,22518249,22573543,23815724,24463145,24550634,25163748,25338919,25538520,25970474,26199319,26325074,26935724,27241088,27742034,27743503,28134284,28294021,28415585,28598863,28730835,28853036,29355774,29793343,29972229,30289676,30403000,30646224,31154143,31756505,32002303,32171719,32331242,33579845,33876236,34089842,34098702,34115084,34203375,34477002,34535983,34872583,34947350,35544919,35681225,35712823,35952553,36080648,36483600,36896114,36978764,37220719,37455596,37889023,38107806,38170604,38915840,39344042,39554743,39779201,39837836,40295814,40420030,40450421,40590729,41044050,41936820,41979116,42698229,42817470,43090773,43780320,43871474,44016223,44114145,44565842,44732608,44830124,44836663,45671968,46308919,46512753,46699008,46833585,47055088,47801897,48029042,48504036,48556833,48719954,49097996,49252860,49397863,49551945,49955824,50324184,50444714,50631406,50831225,51360790,51380964,51701036,52536384,52855408,52936974,53582719,54381919,55019983,55244396,55372325,56200302,56584318,56614707,56827430,57302529,57742900,59103432,59462334,59722316,60036842,60193004,60553903,60717674,60842782,60997470,61057874,61632948,62011016,62430943,63209983,63983269,63987223,64293873,64658156,64955013,65063968,65362124,66446790,66491361,66534764,67078183,67494314,67747976,67846423,67940876,68099829,68192916,68306503,68477585,68505842,69224719,69291480,69762393,70047884,70188842,70597183,70861034,70876576,71259945,71684876,71868242,71900374,72195513,72330580,72871663,72874154,73173703,73196964,73553804,73776919,73910912,73968585,74529319,75187436,75216242,75397385,76010608,76216473,76540325,76775719,76884842,77952915,78412783,78449996,78682796,78899824,79281033,79736148,79745719,80834740,80895518,81071225,81206354,82173102,83149776,83477096,85511934,86162474,86329448,86796696,86918260,87495585,88762302,89120594,89125676,89819564,90476862,90626719,91086194,91404670,91848390,92046919,92188543,92720234,93284684,93328624,93450248,93543498,93911733,94456145,95005903,95652434,95821196,95977514,97001688,97031913,97100023,97120629,97203116,97276394,97285470,97600754,97646283,97971616,98901823,99273836,...,408867742814741483816151609766778933409597553122711852472420793581501039049549045614131989187329044189651551548401673457700065010866431609549167667695100835487797041930379800385331890342041317726793805379992887171255084116732683405787844601951786860393207401450427816784865370310884485954655613436775515302850053242951492546847851888146700303565605751853376135783505718331048159021499312464903644352559313962504609145248720681200084197069598858662946070329496759467801389197665449454131026333564852709038095029927099385047198048707260824603911551154623089144874417720892436398995605659754036920203465098899832025385979839834627928128150648717226914605147565723010452345027099798479645992611468988587340353455133202473934160962930699483885418059930337260966961392059221646982121268468021735679724523869872092908968679973885700375436836567178152469214639456211116545785970918315356795475706912471202715493334561239600567864852175338991861163001359937152935065973240643002055041935838155895773304191368474651654284726716010852107644959164840192216287167475865319938095631194916280635137397774121725552753806930494000269047890474800951585829534595432361424891687583019028044214974094976900474305372351553166134956877924497435344927344593445896605050461628820131949408057108923473751982896861229336261937712885543482043330623030932615330454239191283839513970647336324198014957296807196155703924418312777205926654323422842105979189393647672673316867478532551211108401090036607502226801879211112280259276881875395410489969430500163480408210849933478355411751023555723567661889814033744095192337247078595984983747224090397064301579745554380689158681512528416861542452196214290044987891317270330199459178303997734951221794412652694874850906915042529980787296817009070612106217604525200286659339997228198075106087375860683715495166516361081932428892794184735736277856713503526369094017851315037375339838091701596877574657547277313803948464240531156891245685932968729141559915346123744633602723511584643361238131808869623431768795644969634528244190176328211847935181472851391677020783950592580801744169049992063579726009788196522510767495399693656424562158564397046295690354448993520276599609611337213985483543797387488587926691835890314995303113107829341988297830413535103983841387980122715034260600414019219519333973890507529030802759258610183985087744706719217365573532078720238420984938186963809828393573488677637648406621948831232990906283630025594035921600145034778490868775776925826694102381254303694350672452973799483308561691321336248428527097373235642264249942923999506212024339200140602439473326712509099269897080167389620362846833947208280049323345148282714314949555545953307463771185324616804722104822645986975324198033379765099408365459218768531461795683745760918547695680176669553886349378020661115155745889235933259047174267808331631167386476236076756268979447403829815207746859247635541223507415873552929976427821588167457747832455653494536881527703525590735262485952492440235903228305342019887841703734973303435857529638662896065114010211411213971553422534611593652495384021058256454225573338078258414401446813543971952154587598224725223772482010474353656978117635538749475059402911194370794717728129929486780845426375957574836893856877402623508262143050128489153403349668456119405036792639937786400414688782915596034290210974919432434328493185653366124433300216709665193282727369982839008663080804455991492161165237819252380137086030352323206345049556586974513012408416738881307415394237631238474866423759968346488618870613107689476813827444591004530344325003246170376030900860371271103313784254420553164844887239805979548101349143684404692219156734353395180262346223778694737096193239445044363367455879382380325734659596702102644700955322900403504179551583047364237979652977677769476827994763919521108867592070557422446512482492922762330042013491391876468897723008660795785909939491073564659850842228529482891649076755868244790240740170459499201930868234954404809281475803427202961193514747063527305068595295614536253436968148844104363143043760801330778765741689804718420926019459718447123584646027901216569108534099444599238930534110372798716008797995933482709546467166044747446641395365213142231255490348361051311583447599859099125808271920805367750008133701356911815041446887737453094912163883814483967601858528297418082538431938648992241449358988020820275974386547558101280923158572003452875204731047831073971836175315950483627103333029423261719665444821112143915089716254233070881174096465169384886656465847325604577442226636074722117286807164217732974978875647876251691448786694749280661994002028526913937206339135140856140134363977510020972253336598512721718225914038785090265666920151351541890767607173945649908084798769243159183327081399571920610325706899423731871765978461495238143982038305136854319202263554071641003204}
30425 1028499659419572774479654211455306259817052853281199959717684948975912359902273003995059: {1732971,2584255,2826363,3101106,3678763,4406695,4710295,5288034,5533346,5652354,6168967,7688923,7904780,8047255,8782999,8812810,9086311,9364124,9368571,9485736,9656706,9815647,9912351,10575372,10671453,11076655,11984695,13291986,13377320,13712763,14381634,14706655,14796651,15013154,15049485,15082459,15311095,15376834,15699739,16052784,16217455,16420863,17123455,17564842,17647986,18043131,18059382,18373314,19123563,19236055,19460946,19571804,20548146,21165799,21546370,21820863,22346205,22365739,22551895,22853095,23083266,23835952,24363823,25261255,25406876,25538647,25588011,25855644,26602625,26815446,26865644,27062274,27065695,27423714,27959720,28004743,28272351,29769655,29880363,30024332,30313506,31454685,31469839,31570567,31923150,32478834,33551664,33669655,33677743,33950306,34018987,34051360,34558399,35083711,35167855,35671339,35723586,36066295,36825951,37745622,37862095,38003750,38307780,38955711,39141032,39487611,39962972,40403586,40861632,41173202,41613051,42201426,42345295,42568423,42643855,42696002,43279554,43711346,44033661,44215579,45100810,45434514,45464936,45604500,45872647,45969336,46036399,46223455,46248482,46819495,47392642,47713255,47819371,48496863,48644800,49797295,49850263,50810408,50814354,51134763,51148053,51172626,51715503,52037119,52421025,52473895,52762999,53491183,53727752,54120972,54259639,54725400,55096891,55344171,55468146,55915760,56037655,56183394,56930972,57089960,57161709,57255906,57454364,57548623,57878971,58373760,58818860,59016063,59279479,59372434,59756754,60443721,60630045,60876082,61372495,61566075,62017004,62050711,62265344,62444780,62905230,62968674,63498523,64193791,64226205,64626295,64672048,64742444,65039071,65670480,65807211,66069260,66509282,66740923,66848763,67098912,67245186,68507952,69037346,69055495,70048512,70101163,70501159,70582632,71525647,72043563,72178625,72756054,72963391,73042459,73079931,73646994,73879290,73985986,74652895,74933736,75241255,75376939,75486276,75538267,75667071,75837823,75944551,75947109,76403372,76449386,76646047,76929451,77041185,77071446,77353903,77513770,77551554,78222367,78790207,78804576,79283112,79405461,80822695,81162146,81329960,81662546,81702655,81768967,82177264,82345474,82725922,82866594,83168455,84074587,84300453,84684970,84876477,84926095,85166071,85241145,85571506,85725164,85854199,86606684,86614350,87559855,88241143,88595720,88655148,89193501,89583474,89606095,90055263,90289506,90413225,90485191,90799772,90923888,91076511,91206523,91264173,91496205,91586811,91827439,91942255,92388640,92449422,93016524,93141103,93268234,93984295,94788751,94847383,95013260,96260684,96779522,96987234,97595952,98043186,98062495,98353495,98415343,98624780,99670185,99802146,...,613301614222112225724227414650168400114396329684067778708631190372251558574323568421197983780993566284477327322602510186550097516299647414323751501542651253231695562895569700577997835513061976590190708069989330756882626175099025108681766902927680290589811102175641725177298055466326728931983420155163272954275079864427238820271777832220050455348408627780064203675258577496572238532248968697355466528838970943756913717873081021800126295604398287994419105494245139201702083796498174181196539500347279063557142544890649077570797073060891236905867326731934633717311626581338654598493408489631055380305197648349748038078969759751941892192225973075840371907721348584515678517540649697719468988917203482881010530182699803710901241444396049225828127089895505891450442088088832470473181902702032603519586785804808139363453019960828550563155254850767228703821959184316674818678956377473035193213560368706804073240001841859400851797278263008487791744502039905729402598959860964503082562903757233843659956287052711977481427090074016278161467438747260288324430751213797979907143446792374420952706096661182588329130710395741000403571835712201427378744301893148542137337531374528542066322461142465350711458058527329749202435316886746153017391016890168844907575692443230197924112085663385210627974345291844004392906569328315223064995934546398922995681358786925759270955971004486297022435945210794233555886627469165808889981485134263158968784090471509009975301217798826816662601635054911253340202818816668420388915322813093115734954145750245220612316274900217533117626535333585351492834721050616142788505870617893977475620836135595596452369618331571033738022268792625292313678294321435067481836975905495299188767455996602426832691618979042312276360372563794971180945225513605918159326406787800429989009995842297112659131063791025573242749774541622898643339191277103604416785070255289553641026776972556063009757137552395316361986320915970705922696360796735336868528899453093712339873019185616950404085267376965041857197713304435147653193467454451792366285264492317771902772209277087515531175925888871202616253574988095369589014682294783766151243099540484636843237846595569443535531673490280414899414417005820978225315696081232881890037753835472492954669661744012982446745620302655975762081970184072551390900621028829279000960835761293546204138887915275977631617060078826048360298118080357631477407280445714742590360233016456472609932923246849486359425445038391053882400217552167736303163665388740041153571881455541526008679460699224962842536982004372642790646059853463396374914385999259318036508800210903659209990068763648904845620251084430544270250920812420073985017722424071472424333318929961195656777986925207083157233968980462986297050069647649112548188828152797192693525618641377821543520265004330829524067030991672733618833853899888570761401712497446751079714354115134403469171105744722811620288871453311835261123810329394964641732382251186621748683480241805322291555288386102893728928738660353854842458013029831762555602459955153786294457994344097671015317116820957330133801917390478743076031587384681338360007117387621602170220315957928231881397337087835658723015711530485467176453308124212589104366791556192076592194894230171268139563936362255340785316103935262393214575192733730105024502684179107555188959906679600622033174373394051435316462379148651492739778480049186649950325064497789924091054974258512994621206683987238241747856728878570205629045528484809517574334880461769518612625108321961123091356446857712299635639952519732928305919661534215220741166886506795516487504869255564046351290556906654970676381630829747267330859708969322152023715526607038328735101530092770393519335668042105644289859167566545051183819073570488601989395053153967051432984350605256269327374571046356969479466516654215241992145879281663301388105836133669768723739384143495063020237087814703346584512991193678864909236610346989776263342794224337473615133802367185361110255689248802896302352431607213922213705140804441790272120595290957602892943421804380155452223266156544714565641201996168148612534707077631389029189577670685376969041851824853662801149166898858395801165559198074013196993900224064319700749067121169962093047819713346883235522541576967375171399788648688712407881208051625012200552035367722562170331606179642368245825721725951402787792446127123807647907973488362174038482031230413961579821337151921384737858005179312807096571746610957754262973925725440654999544134892579498167231668215872634574381349606321761144697754077329984698770988406866163339954112083175930210746326599462468313471814377537173180042123920992991003042790370905809508702711284210201545966265031458380004897769082577338871058177635398500380227027312836151410760918474862127198153864738774990622099357880915488560349135597807648967692242857215973057457705281478803395331107461504806}
30426 1031673715644501525443499171906285414600665423714651590974464662934255518714026082762733: {699269,1124393,1791653,2310628,2397413,3123269,3244133,3425369,3768484,4134808,4651659,4752233,5036606,5053253,5233769,6125246,6735269,6915113,7050712,7214693,7536472,7753433,7932051,7936766,8300019,8478531,8828969,9246533,9425369,9544553,9880975,10139993,11031653,11387813,11705155,11857170,11921513,12491428,12647648,12875608,13216468,13219215,13282469,13709438,13990853,14046186,14100496,14228604,14344613,14485059,14933573,15227753,15863058,15864686,16343813,16721650,16812869,17690969,17722648,18100133,18283684,18730286,19175512,19728868,19937979,20023769,20065980,20856458,21069353,21230126,21403712,21572451,21894484,22054469,22459433,22519731,23065251,23530648,23614313,24057508,24079176,24464755,24478373,24497752,24823493,25225769,25340633,25398053,25498084,25947928,26347263,26471979,27089073,27397528,27559971,28087769,28942469,29094484,29191419,29340713,29357706,29794940,30100526,30533093,30777688,30822219,31212869,31758595,31891493,32060969,32319555,32907269,33076313,33271838,33582055,34117348,34248403,34474192,34624899,34949650,35028638,35547353,35753928,36083032,36564952,36721253,37279013,37530415,37557593,37696468,37780313,37947269,38110314,38783466,39723653,39781819,39840484,40223169,40298466,40418008,40593411,40608773,40626206,40884953,41135571,41671646,41932613,41939580,42564200,43196969,43305112,43361573,44459107,44735552,45003653,45036498,45147086,45222053,45470259,45658469,46366553,46475369,46638533,47011783,47127593,47631448,47805043,47884725,47941253,48718251,48753113,48926290,49101268,49455269,49953715,50327496,50677838,50909273,50925459,51070469,51077040,51940948,52143269,52398638,52650148,52785413,53319653,53585379,53586473,53639813,53871448,53906393,54482176,54545369,55076969,55484068,55487006,55501673,56268568,56296613,56493151,56508293,56588042,56618433,56666969,56772713,56831170,57005625,57197726,57300953,57461670,57706072,57881093,58711548,59586686,59944458,60244313,60453593,60579352,60605379,60610469,60806000,61292448,61759803,62279333,62308286,63214469,63302139,63513010,64004606,64044003,64343438,64662484,64919331,65567019,65695493,66158633,67159690,67236773,67651215,67752472,68151771,68179684,68197404,68230168,68406750,68770853,68954004,69071966,69127769,69372723,69745166,69894700,70906469,71088963,71089838,71163715,71362450,71425646,71817413,71817955,71905106,72161296,72574553,72776153,72967200,73178969,73523575,73531013,73792228,73832453,73932869,73957528,74284073,74434469,74441438,74534693,74584793,74684969,74911192,75585113,75778046,76183769,76215612,76221531,76341208,76758939,77521255,77831680,78055975,78418469,78688084,79109486,79505093,79558402,79675672,79751513,80243753,80591628,80784293,80840060,80900842,80928055,81181458,81519833,82088100,82253573,82586575,82741733,83202219,83873640,83958232,84275091,84443993,85396458,85634940,85883859,86181546,86329253,86810693,87560640,87742948,87819113,88032446,88228290,89058651,89131684,89465216,89491973,89635131,89660248,89673326,89968133,90063269,90918053,91314123,91343936,92617838,92666969,93025506,93398016,93466853,93667170,94110176,94217573,94357845,94453011,95012969,95339813,95504215,95603794,95868619,96058084,96410969,96875369,97008072,97113666,97439908,97570469,98195992,98505720,98795726,98817113,99093353,99103890,99507173,99644969,99763923,99782693,99911648,...,919952421333168338586341121975252600171594494526101668062946785558377337861485352631796975671490349426715990983903765279825146274449471121485627252313976879847543344343354550866996753269592964885286062104983996135323939262648537663022650354391520435884716653263462587765947083199490093397975130232744909431412619796640858230407666748330075683022612941670096305512887866244858357798373453046033199793258456415635370576809621532700189443406597431991628658241367708802553125694747261271794809250520918595335713817335973616356195609591336855358800990097901950575967439872007981897740112734446583070457796472524622057118454639627912838288338959613760557861582022876773517776310974546579203483375805224321515795274049705566351862166594073838742190634843258837175663132133248705709772854053048905279380178707212209045179529941242825844732882276150843055732938776475012228018434566209552789820340553060206109860002762789101277695917394512731687616753059858594103898439791446754623844355635850765489934430579067966222140635111024417242201158120890432486646126820696969860715170188561631429059144991773882493696065593611500605357753568302141068116452839722813206006297061792813099483691713698026067187087790994623803652975330119229526086525335253267361363538664845296886168128495077815941961517937766006589359853992472834597493901819598384493522038180388638906433956506729445533653917816191350333829941203748713334972227701394738453176135707263514962951826698240224993902452582366880010304228225002630583372984219639673602431218625367830918474412350326299676439803000378027239252081575924214182758805926840966213431254203393394678554427497356550607033403188937938470517441482152601222755463858242948783151183994903640249037428468563468414540558845692456771417838270408877238989610181700644983514993763445668988696595686538359864124661812434347965008786915655406625177605382934330461540165458834094514635706328592974542979481373956058884044541195103005302793349179640568509809528778425425606127901065447562785796569956652721479790201181677688549427896738476657854158313915631273296763888833306803924380362482143054383522023442175649226864649310726955264856769893354165303297510235420622349121625508731467337973544121849322835056630753208739432004492616019473670118430453983963643122955276108827086350931543243918501441253641940319306208331872913966447425590118239072540447177120536447216110920668572113885540349524684708914899384870274229539138167557586580823600326328251604454745498083110061730357822183312289013019191048837444263805473006558964185969089780195094562371578998888977054763200316355488814985103145473357268430376626645816405376381218630110977526583636107208636499978394941793485166980387810624735850953470694479445575104471473668822283242229195789040288427962066732315280397506496244286100546487509100428250780849832856142102568746170126619571531172701605203756658617084217430433307179967752891685715494092446962598573376779932623025220362707983437332932579154340593393107990530782263687019544747643833403689932730679441686991516146506522975675231435995200702876085718114614047381077022007540010676081432403255330473936892347822096005631753488084523567295728200764679962186318883656550187334288114888292341345256902209345904543383011177974155902893589821862789100595157536754026268661332783439860019400933049761560091077152974693568722977239109667720073779974925487596746684886136582461387769491931810025980857362621785093317855308443568292727214276361502320692654277918937662482941684637034670286568449453459928779599392458879492301322831111750329760193274731257303883346069526935835359982456014572446244620900996289563453983228035573289910557493102652295139155590279003502063158466434788751349817576775728610355732902984092579730950577149476525907884403991061856569535454219199774981322862988218818922494952082158754200504653085609076215242594530355631722055019876769486790518297363854915520484664395014191336506210422700703550778041665383533873204344453528647410820883320557711206662685408180892936436404339415132706570233178334899234817071848461802994252222918802060616447083543784366506028065453562777737280494201723750348287593701748338797111019795490850336096479551123600681754943139571729570020324853283812365451062757099682973033068611821812077437518300828053051583843255497409269463552368738582588927104181688669190685711471861960232543261057723046845620942369732005727882077106787007768969210644857619916436631394460888588160982499316202338869247250847502323808951861572024409482641717046631115994977048156482610299245009931168124763895316119489899193702470207721566305759770063185881489486504564185556358714263054066926315302318949397547187570007346653623866008306587266453097750570340540969254227116141377712293190797230797108162485933149036821373232840523703396711473451538364285823959586186557922218205092996661192257209}
30427 1034857510618010441374803493539105513665074174087883965455372539987937810846374962547935: {30427,2888285,3465942,3617957,4347629,4710605,5168510,5652726,6169373,6202212,6594413,7357526,7554909,8813390,9086909,9187869,9420590,9816293,10576068,10970429,11066692,11266157,11304708,11905149,12337934,15377846,15507317,15614285,15809560,16094510,16520585,16778573,17565998,17625620,17785755,18172622,18554237,18728248,18737142,18971472,19313412,19631294,19824702,20564157,20589317,21069279,21150744,21342906,21435533,22153310,22198277,22704437,22854605,23655893,23794587,23797029,23969390,23972837,24661085,25082475,25842317,26432237,26583972,26754640,26930477,27299933,27368105,27425526,28095429,28763268,28793609,29413310,29593302,30026308,30071885,30098970,30164918,30622190,30753668,31284687,31399478,31572653,31845189,31872605,31994333,32105568,32350373,32434910,32841726,34246910,34344629,35129684,35172173,35295972,35365757,36086262,36118764,36338093,36368105,36746628,37243675,37891973,38247126,38472110,38624093,38921892,39143608,39800969,41096292,41677517,42157037,42331598,42646685,43092740,43641726,44036559,44692410,44731478,45103790,45150789,45706190,46166532,47120585,47137517,47671904,48282077,48727646,49234997,49800605,49907757,49986137,50492813,50522510,50813752,51077294,51176022,51269429,51711288,52257293,52424475,52542957,53006933,53067557,53205250,53630892,53731288,54124548,54131390,54243629,54847428,55919440,56009486,56100509,56544702,57165471,58159133,58175199,59283413,59539310,59701397,59760726,60048664,60447699,60627012,60939309,61376585,62507469,62909370,62939678,63141134,63846300,64163429,64712837,64926185,64957668,65547293,65812685,66798557,67103328,67339310,67355486,67554747,67614917,67720629,67900612,68012009,68037974,68102720,68620949,69116798,69355085,69460829,69716213,70167422,70335710,71342678,71447172,71530373,72132590,73389435,73463453,73651902,75043709,75170717,75491244,75724190,76007500,76016757,76041053,76615560,77674853,77911422,77995349,78282064,78452717,78597957,78795413,78975222,79537229,79648013,79925944,79940429,80745257,80807172,80828105,81723264,82346404,82846829,83226102,83230509,83286293,83617013,84402852,84690590,84882063,85136846,85224605,85246755,85287710,85392004,85663229,85796589,85921493,86192505,86559108,86924573,87368375,87422692,88067322,88431158,89081837,89380029,89916687,90201620,90476813,90726809,90869028,90929872,91209000,91418249,91745294,91833533,91938672,92072798,92240285,92446910,92496964,92545589,93072797,93462429,93638990,93804029,94785284,95269515,95426510,95455637,95638742,95954693,96006909,96515157,96677693,96725549,96993726,97289600,98001929,98164373,98360105,99594590,99700526,...,1226603228444224451448454829300336800228792659368135557417262380744503117148647136842395967561987132568954654645205020373100195032599294828647503003085302506463391125791139401155995671026123953180381416139978661513765252350198050217363533805855360581179622204351283450354596110932653457863966840310326545908550159728854477640543555664440100910696817255560128407350517154993144477064497937394710933057677941887513827435746162043600252591208796575988838210988490278403404167592996348362393079000694558127114285089781298155141594146121782473811734653463869267434623253162677309196986816979262110760610395296699496076157939519503883784384451946151680743815442697169031357035081299395438937977834406965762021060365399607421802482888792098451656254179791011782900884176177664940946363805404065207039173571609616278726906039921657101126310509701534457407643918368633349637357912754946070386427120737413608146480003683718801703594556526016975583489004079811458805197919721929006165125807514467687319912574105423954962854180148032556322934877494520576648861502427595959814286893584748841905412193322365176658261420791482000807143671424402854757488603786297084274675062749057084132644922284930701422916117054659498404870633773492306034782033780337689815151384886460395848224171326770421255948690583688008785813138656630446129991869092797845991362717573851518541911942008972594044871890421588467111773254938331617779962970268526317937568180943018019950602435597653633325203270109822506680405637633336840777830645626186231469908291500490441224632549800435066235253070667170702985669442101232285577011741235787954951241672271191192904739236663142067476044537585250584627356588642870134963673951810990598377534911993204853665383237958084624552720745127589942361890451027211836318652813575600859978019991684594225318262127582051146485499549083245797286678382554207208833570140510579107282053553945112126019514275104790632723972641831941411845392721593470673737057798906187424679746038371233900808170534753930083714395426608870295306386934908903584732570528984635543805544418554175031062351851777742405232507149976190739178029364589567532302486199080969273686475693191138887071063346980560829798828834011641956450631392162465763780075507670944985909339323488025964893491240605311951524163940368145102781801242057658558001921671522587092408277775830551955263234120157652096720596236160715262954814560891429485180720466032912945219865846493698972718850890076782107764800435104335472606327330777480082307143762911083052017358921398449925685073964008745285581292119706926792749828771998518636073017600421807318419980137527297809691240502168861088540501841624840147970035444848142944848666637859922391313555973850414166314467937960925972594100139295298225096377656305594385387051237282755643087040530008661659048134061983345467237667707799777141522803424994893502159428708230268806938342211489445623240577742906623670522247620658789929283464764502373243497366960483610644583110576772205787457857477320707709684916026059663525111204919910307572588915988688195342030634233641914660267603834780957486152063174769362676720014234775243204340440631915856463762794674175671317446031423060970934352906616248425178208733583112384153184389788460342536279127872724510681570632207870524786429150385467460210049005368358215110377919813359201244066348746788102870632924758297302985479556960098373299900650128995579848182109948517025989242413367974476483495713457757140411258091056969619035148669760923539037225250216643922246182712893715424599271279905039465856611839323068430441482333773013591032975009738511128092702581113813309941352763261659494534661719417938644304047431053214076657470203060185540787038671336084211288579718335133090102367638147140977203978790106307934102865968701210512538654749142092713938958933033308430483984291758563326602776211672267339537447478768286990126040474175629406693169025982387357729818473220693979552526685588448674947230267604734370722220511378497605792604704863214427844427410281608883580544241190581915205785886843608760310904446532313089429131282403992336297225069414155262778058379155341370753938083703649707325602298333797716791602331118396148026393987800448128639401498134242339924186095639426693766471045083153934750342799577297377424815762416103250024401104070735445124340663212359284736491651443451902805575584892254247615295815946976724348076964062460827923159642674303842769475716010358625614193143493221915508525947851450881309999088269785158996334463336431745269148762699212643522289395508154659969397541976813732326679908224166351860421492653198924936626943628755074346360084247841985982006085580741811619017405422568420403091932530062916760009795538165154677742116355270797000760454054625672302821521836949724254396307729477549981244198715761830977120698271195615297935384485714431946114915410562957606790662214923009612}
30428 1038051074047711646970348005214784363021429752331727525596291405215356732828219302868851: {1124467,1398538,1852387,2248786,3304771,3583306,4621256,4752547,4794826,5198913,6246538,6488266,6850738,7275067,7536968,7752765,8269616,8479089,9303318,9504466,9962107,10073212,10106506,10140667,10467538,11036289,12250492,13165171,13220085,13470538,13830226,13833365,14101424,14130885,14429386,15072944,15506866,15864102,15873532,16344907,16387217,16600038,16957062,17224027,17657938,18493066,18506901,18850738,19089106,19761950,20279986,22032025,22063306,22460947,22775626,23066769,23327467,23410310,23714340,23843026,24141765,24537571,24982856,25295296,25399771,25751216,26348997,26432936,26438430,26564938,27258933,27418876,27981706,28092372,28105713,28200992,28457208,28689226,28970118,29172067,29446941,29737053,29867146,30455506,30535171,31726116,31729372,32014359,32687626,32740387,33229965,33443300,33625738,34250657,35381938,35445296,35954085,36109267,36200266,36444571,36567368,37460572,37532885,37615867,37782907,38351024,38442085,38617027,39457736,39875958,40047538,40131960,41138289,41712916,42138706,42460252,42807424,43144902,43788968,43912105,44108938,44119965,44389953,44462033,44733571,44918866,45039462,45148455,45247377,45933285,46130502,46696147,47014877,47061296,47099217,47228626,47673547,47998771,48115016,48158352,48652365,48810571,48929510,48956746,48995504,49262589,49646986,49944067,50428771,50451538,50681266,50796106,50996168,51370365,51557227,51895856,52361107,52542581,52694526,52943958,53643571,53865925,54129393,54178146,54795056,55119942,55558627,56175538,56496869,56829571,57304987,57370689,57708165,57884938,58188968,58382838,58681426,58715412,59589880,60201052,60300907,61066186,61555376,61644438,62425738,62510173,63497397,63517190,63782986,64121938,64639110,65462589,65751667,65814538,65906107,66152626,66523147,66543676,66677227,66764633,67038615,67097217,67164110,67655685,68234696,68496806,68559285,68948384,68979787,69249798,69899300,69935201,70057276,71094706,71507856,72166064,73091469,73129904,73442506,74289427,74558026,74590171,75060830,75115186,75392936,75560626,75640507,75783765,75894538,76220628,76615941,76764033,77283907,77566932,79447306,79510867,79563638,79680968,79807875,80446338,80596932,80836016,81186822,81197085,81217546,81252412,81574747,81769906,82271142,82308427,82747771,83343292,83770387,83865226,83879160,83916187,84014229,84817053,84875765,85128400,86383771,86393938,86610224,86723146,86817067,87537787,88918214,89308965,89471104,89546227,89641089,89974771,90007306,90072996,90294172,90444106,90940518,90972187,91316938,92733106,92950738,93277066,93520771,94023566,94255186,94364055,94409517,94711701,95009375,95262896,95346907,95610086,95769450,95882506,96743347,97436502,97506226,97852580,98202536,98686267,98824507,98910538,99514627,99629201,99907430,...,1839904842666336677172682243950505200343188989052203336125893571116754675722970705263593951342980698853431981967807530559650292548898942242971254504627953759695086688686709101733993506539185929770572124209967992270647878525297075326045300708783040871769433306526925175531894166398980186795950260465489818862825239593281716460815333496660151366045225883340192611025775732489716715596746906092066399586516912831270741153619243065400378886813194863983257316482735417605106251389494522543589618501041837190671427634671947232712391219182673710717601980195803901151934879744015963795480225468893166140915592945049244114236909279255825676576677919227521115723164045753547035552621949093158406966751610448643031590548099411132703724333188147677484381269686517674351326264266497411419545708106097810558760357414424418090359059882485651689465764552301686111465877552950024456036869132419105579640681106120412219720005525578202555391834789025463375233506119717188207796879582893509247688711271701530979868861158135932444281270222048834484402316241780864973292253641393939721430340377123262858118289983547764987392131187223001210715507136604282136232905679445626412012594123585626198967383427396052134374175581989247607305950660238459052173050670506534722727077329690593772336256990155631883923035875532013178719707984945669194987803639196768987044076360777277812867913013458891067307835632382700667659882407497426669944455402789476906352271414527029925903653396480449987804905164733760020608456450005261166745968439279347204862437250735661836948824700652599352879606000756054478504163151848428365517611853681932426862508406786789357108854994713101214066806377875876941034882964305202445510927716485897566302367989807280498074856937126936829081117691384913542835676540817754477979220363401289967029987526891337977393191373076719728249323624868695930017573831310813250355210765868660923080330917668189029271412657185949085958962747912117768089082390206010605586698359281137019619057556850851212255802130895125571593139913305442959580402363355377098855793476953315708316627831262546593527777666613607848760724964286108767044046884351298453729298621453910529713539786708330606595020470841244698243251017462934675947088243698645670113261506417478864008985232038947340236860907967927286245910552217654172701863086487837002882507283880638612416663745827932894851180236478145080894354241072894432221841337144227771080699049369417829798769740548459078276335115173161647200652656503208909490996166220123460715644366624578026038382097674888527610946013117928371938179560390189124743157997777954109526400632710977629970206290946714536860753253291632810752762437260221955053167272214417272999956789883586970333960775621249471701906941388958891150208942947337644566484458391578080576855924133464630560795012992488572201092975018200856501561699665712284205137492340253239143062345403210407513317234168434860866614359935505783371430988184893925197146753559865246050440725415966874665865158308681186786215981061564527374039089495287666807379865461358883373983032293013045951350462871990401405752171436229228094762154044015080021352162864806510660947873784695644192011263506976169047134591456401529359924372637767313100374668576229776584682690513804418691809086766022355948311805787179643725578201190315073508052537322665566879720038801866099523120182154305949387137445954478219335440147559949850975193493369772273164922775538983863620051961714725243570186635710616887136585454428552723004641385308555837875324965883369274069340573136898906919857559198784917758984602645662223500659520386549462514607766692139053871670719964912029144892489241801992579126907966456071146579821114986205304590278311180558007004126316932869577502699635153551457220711465805968185159461901154298953051815768807982123713139070908438399549962645725976437637844989904164317508401009306171218152430485189060711263444110039753538973581036594727709831040969328790028382673012420845401407101556083330767067746408688907057294821641766641115422413325370816361785872872808678830265413140466356669798469634143696923605988504445837604121232894167087568733012056130907125555474560988403447500696575187403496677594222039590981700672192959102247201363509886279143459140040649706567624730902125514199365946066137223643624154875036601656106103167686510994818538927104737477165177854208363377338381371422943723920465086522115446093691241884739464011455764154213574015537938421289715239832873262788921777176321964998632404677738494501695004647617903723144048818965283434093262231989954096312965220598490019862336249527790632238979798387404940415443132611519540126371762978973009128371112717428526108133852630604637898795094375140014693307247732016613174532906195501140681081938508454232282755424586381594461594216324971866298073642746465681047406793422946903076728571647919172373115844436410185993322384514418}
30429 1041254435731313458996039635836346855943246606788505757937900362563140453949796028891484: {60854,2097807,3373179,4043599,5138107,5374959,5776570,6594847,6931884,7192239,7235914,8695258,9369807,9421210,9694091,9732399,10276107,10337020,10971151,11305452,11882099,12338746,12404424,12591515,13188826,13954977,14256699,14715052,15109818,15159759,15313115,15701307,17626780,18173818,18375738,18841180,19632586,19841915,20205807,20745339,21152136,21644079,21859999,21940858,22133384,22532314,22609416,23128819,23260299,23701007,23796153,23810298,24675868,24809839,24900057,25435593,26486907,27739599,28276107,28633659,29182687,29642925,30419979,30755692,31014634,31228570,31619120,31996447,32189020,33041170,33094959,33557146,34163439,34273595,34525519,35115465,35131996,35251240,35571510,35764539,36345244,36621587,37108474,37456496,37474284,37942944,38232259,38315347,38626824,39262588,39649404,39657645,39661715,39847407,40589107,41128314,41178634,41180879,41804125,41972559,42100639,42138558,42301488,42685812,42871066,42945019,43033839,43455177,44306620,44396554,44621647,44800719,45408874,45683259,45709210,45878699,46643339,46825715,47311786,47589174,47594058,47938780,47945674,49031439,49322170,49610891,50164950,50438607,50915347,51013307,51684634,51913451,52141145,52864474,53072907,53075315,53167944,53509280,53860954,54300399,54599866,54736210,54851052,55866859,56190858,57526536,57587218,57886607,58467107,58826620,59186604,59310799,59705359,59813937,60052616,60071307,60143770,60197940,60329836,61244380,61507336,61758619,62569374,62798956,63145306,63208059,63690378,63745210,63988666,64106107,64211136,64700746,64717353,64869820,65683452,65968819,66163407,67378299,67559193,68493820,68689258,69195753,69720847,70259368,70344346,70591944,70731514,70842939,72172524,72237528,72676186,72736210,73394265,73435119,73493256,74251231,74470479,74487350,75251315,75677307,75783946,75829507,76021899,76194159,76494252,76944220,77248186,77843784,78287216,78731507,79041789,79415937,79601938,79945711,81267219,81891619,82192584,82679913,83179595,83355034,84085679,84263307,84314074,84663196,85177307,85265147,85293370,85927219,86185480,86813071,86827407,87283452,87349039,87374125,87571595,87574257,88022139,88073118,88604899,89384820,89462956,89866699,90207580,90244699,90301578,90896659,91412380,91599279,92137759,92333064,92466657,93153467,93638607,93999179,94241170,94275034,95152507,95275785,95343808,95377619,95674479,96182907,96564154,96958665,97097119,97455292,98469994,98721807,99228939,99601210,99815514,99972274,...,2759857263999505015759023365925757800514783483578305004188840356675132013584456057895390927014471048280147972951711295839475438823348413364456881756941930639542630033030063652600990259808778894655858186314951988405971817787945612989067951063174561307654149959790387763297841249598470280193925390698234728294237859389922574691223000244990227049067838825010288916538663598734575073395120359138099599379775369246906111730428864598100568330219792295974885974724103126407659377084241783815384427751562755786007141452007920849068586828774010566076402970293705851727902319616023945693220338203339749211373389417573866171355363918883738514865016878841281673584746068630320553328932923639737610450127415672964547385822149116699055586499782221516226571904529776511526989396399746117129318562159146715838140536121636627135538589823728477534198646828452529167198816329425036684055303698628658369461021659180618329580008288367303833087752183538195062850259179575782311695319374340263871533066907552296469803291737203898666421905333073251726603474362671297459938380462090909582145510565684894287177434975321647481088196780834501816073260704906423204349358519168439618018891185378439298451075141094078201561263372983871410958925990357688578259576005759802084090615994535890658504385485233447825884553813298019768079561977418503792481705458795153480566114541165916719301869520188336600961753448574051001489823611246140004916683104184215359528407121790544888855480094720674981707357747100640030912684675007891750118952658919020807293655876103492755423237050978899029319409001134081717756244727772642548276417780522898640293762610180184035663282492069651821100209566813815411552324446457803668266391574728846349453551984710920747112285405690405243621676537077370314253514811226631716968830545101934950544981290337006966089787059615079592373985437303043895026360746966219875532816148802991384620496376502283543907118985778923628938444121868176652133623585309015908380047538921705529428586335276276818383703196342688357389709869958164439370603545033065648283690215429973562474941746893819890291666499920411773141087446429163150566070326526947680593947932180865794570309680062495909892530706261867047364876526194402013920632365547968505169892259626218296013477848058421010355291361951890929368865828326481259052794629731755504323760925820957918624995618741899342276770354717217621341531361609341648332762005716341656621048574054126744698154610822688617414502672759742470800978984754813364236494249330185191073466549936867039057573146512332791416419019676892557907269340585283687114736996666931164289600949066466444955309436420071805291129879937449216129143655890332932579750908321625909499935184825380455500941163431874207552860412083438336725313414421006466849726687587367120865283886200196945841192519488732858301639462527301284752342549498568426307706238510379858714593518104815611269975851252652291299921539903258675057146482277340887795720130339797869075661088123950311998797737463021780179323971592346791061058634242931500211069798192038325060974548439519568927025694307985602108628257154343842142143231066022620032028244297209765991421810677043466288016895260464253570701887184602294039886558956650969650562002864344664877024035770706628037713630149033533922467708680769465588367301785472610262078805983998350319580058202799149284680273231458924080706168931717329003160221339924776462790240054658409747384163308475795430077942572087865355279953565925330704878181642829084506962077962833756812987448825053911104010859705348360379786338798177376638476903968493335250989280579824193771911650038208580807506079947368043717338733862702988868690361949684106719869731672479307956885417466770837010506189475399304366254049452730327185831067198708952277739192851731448429577723653211973185569708606362657599324943968588964656456767484856246476262601513959256827228645727783591066895166165059630308460371554892091564746561453993185042574009518631268102110652334124996150601619613033360585942232462649961673133619988056224542678809309213018245398119710699535004697704451215545385408982756668756406181849341250631353099518084196360688333211841482605171251044862781105245016391333059386472551008289438653370802045264829418715188710060974559851437096353188271299048919099205835465436232312554902484159154751529766492227808390657106215747766781312545066007572057134415585880697629783173169140536862827109196017183646231320361023306907631934572859749309894183382665764482947497948607016607741752542506971426855584716073228447925151139893347984931144469447830897735029793504374291685948358469697581107410623164698917279310189557644468459513692556669076142789162200778945906956848192641562710022039960871598024919761799359293251711021622907762681348424133136879572391692391324487457799447110464119698521571110190134420354615092857471878758559673766654615278989983576771627}
30430 1044467625556892041063094849343768176617917576279635840590827453764841076121604840384426: {91281,1245949,2248934,2518801,2700349,2797076,3244561,3704774,4150141,4497572,6609542,6856081,7035901,7166612,8113309,8664855,8830141,9242512,9367009,9505094,9545821,9589652,10397826,10795489,10853871,11508001,12041629,12493076,12574609,12921275,12976532,13042887,13701476,14131815,14550134,15053281,15073936,15229789,15505530,16539232,16639261,16815121,16958178,17693341,18393815,18508119,18606636,19008932,19094749,19366711,19783239,19924214,20142781,20146424,20213012,20281334,20935076,22033475,22072578,22578109,22664727,23551475,23617501,24500984,25344061,25516321,26330342,26440170,26941076,27260727,27406429,27563607,27660452,27666730,27920401,28202848,28261770,28775581,28858772,29448879,29969809,30145888,30310369,30844835,31013732,31728204,31747064,32008849,32178301,32347681,32689814,32774434,32911287,33200076,33798471,33914124,34448054,34711441,35315876,35715447,35720161,35888029,36986132,37013802,37228381,37395601,37701476,37896829,38063761,38178212,38444615,39523900,39729121,40236275,40559972,40890589,42048529,42873469,43914995,44064050,44126612,44921894,45009889,45337489,45431555,45551252,46133538,46481821,46521951,46654934,46820620,46842855,47134141,47428680,47686052,48283530,49075142,49078235,49561755,49731901,49965712,50335719,50590592,50799542,51185041,51502432,51829009,52150561,52546039,52697994,52865872,52876860,53129876,53357265,53433889,53818919,53913949,54517866,54553021,54837752,55031569,55383275,55662711,55963412,56184744,56211426,56401984,56780701,56914416,57378452,57572881,57940236,58344134,58893882,58994269,59474106,59734292,59781409,59923475,60566749,60880381,60911012,61070342,61476947,61692471,61767951,62514287,63207837,63452232,63458744,63845521,64028718,64306599,65375252,65480774,65550301,66459930,66594831,66769027,66886600,67246369,67251476,67553809,68113311,68474401,68501314,68563815,69239581,69864311,70763876,70890592,70967679,71383761,71391087,71827729,71908170,71918511,72218534,72400532,72887389,72889142,73134736,73533275,73792861,73875659,73943521,73983255,74545441,74695741,74921144,75065770,75231734,75247425,75412295,75565814,75596029,75895549,76555475,76702048,76792381,76884170,77234054,77526951,77835409,78498695,78915472,79296711,79319329,79751916,79910881,80095076,80263920,80791431,81087275,81899799,82104315,82265569,82276578,82851361,83425832,84277412,84286287,84920504,85614848,85617275,86289804,86380827,86919649,87577936,87824210,88217876,88239930,88358929,88779906,88924066,89467142,89837732,90076561,90078924,90215655,90296910,90494754,91215889,91866570,92209021,92261004,93057469,93392294,93854061,94029754,94122592,94198434,94457252,94717959,94886881,95167249,95347094,95535567,95617815,95982999,95997542,96146269,96180275,96230032,96316704,96982621,97051119,97304730,97621142,97859020,97913492,97991008,98232289,98525178,98924029,99293972,99338209,99888134,...,3679809685332673354345364487901010400686377978104406672251787142233509351445941410527187902685961397706863963935615061119300585097797884485942509009255907519390173377373418203467987013078371859541144248419935984541295757050594150652090601417566081743538866613053850351063788332797960373591900520930979637725650479186563432921630666993320302732090451766680385222051551464979433431193493812184132799173033825662541482307238486130800757773626389727966514632965470835210212502778989045087179237002083674381342855269343894465424782438365347421435203960391607802303869759488031927590960450937786332281831185890098488228473818558511651353153355838455042231446328091507094071105243898186316813933503220897286063181096198822265407448666376295354968762539373035348702652528532994822839091416212195621117520714828848836180718119764971303378931529104603372222931755105900048912073738264838211159281362212240824439440011051156405110783669578050926750467012239434376415593759165787018495377422543403061959737722316271864888562540444097668968804632483561729946584507282787879442860680754246525716236579967095529974784262374446002421431014273208564272465811358891252824025188247171252397934766854792104268748351163978495214611901320476918104346101341013069445454154659381187544672513980311263767846071751064026357439415969891338389975607278393537974088152721554555625735826026917782134615671264765401335319764814994853339888910805578953812704542829054059851807306792960899975609810329467520041216912900010522333491936878558694409724874501471323673897649401305198705759212001512108957008326303696856731035223707363864853725016813573578714217709989426202428133612755751753882069765928610404891021855432971795132604735979614560996149713874253873658162235382769827085671353081635508955958440726802579934059975053782675954786382746153439456498647249737391860035147662621626500710421531737321846160661835336378058542825314371898171917925495824235536178164780412021211173396718562274039238115113701702424511604261790251143186279826610885919160804726710754197711586953906631416633255662525093187055555333227215697521449928572217534088093768702596907458597242907821059427079573416661213190040941682489396486502034925869351894176487397291340226523012834957728017970464077894680473721815935854572491821104435308345403726172975674005765014567761277224833327491655865789702360472956290161788708482145788864443682674288455542161398098738835659597539481096918156552670230346323294401305313006417818981992332440246921431288733249156052076764195349777055221892026235856743876359120780378249486315995555908219052801265421955259940412581893429073721506506583265621505524874520443910106334544428834545999913579767173940667921551242498943403813882777917782300417885894675289132968916783156161153711848266929261121590025984977144402185950036401713003123399331424568410274984680506478286124690806420815026634468336869721733228719871011566742861976369787850394293507119730492100881450831933749331730316617362373572431962123129054748078178990575333614759730922717766747966064586026091902700925743980802811504342872458456189524308088030160042704325729613021321895747569391288384022527013952338094269182912803058719848745275534626200749337152459553169365381027608837383618173532044711896623611574359287451156402380630147016105074645331133759440077603732199046240364308611898774274891908956438670880295119899701950386986739544546329845551077967727240103923429450487140373271421233774273170908857105446009282770617111675750649931766738548138681146273797813839715118397569835517969205291324447001319040773098925029215533384278107743341439929824058289784978483603985158253815932912142293159642229972410609180556622361116014008252633865739155005399270307102914441422931611936370318923802308597906103631537615964247426278141816876799099925291451952875275689979808328635016802018612342436304860970378121422526888220079507077947162073189455419662081938657580056765346024841690802814203112166661534135492817377814114589643283533282230844826650741632723571745745617357660530826280932713339596939268287393847211977008891675208242465788334175137466024112261814251110949121976806895001393150374806993355188444079181963401344385918204494402727019772558286918280081299413135249461804251028398731892132274447287248309750073203312212206335373021989637077854209474954330355708416726754676762742845887447840930173044230892187382483769478928022911528308427148031075876842579430479665746525577843554352643929997264809355476989003390009295235807446288097637930566868186524463979908192625930441196980039724672499055581264477959596774809880830886265223039080252743525957946018256742225434857052216267705261209275797590188750280029386614495464033226349065812391002281362163877016908464565510849172763188923188432649943732596147285492931362094813586845893806153457143295838344746231688872820371986644769028836}
30431 1047690673503163872730900363865057863523897508483214295706738351455450939850826464185549: {30431,121708,3373401,3496345,4195614,5557161,5621965,5685361,6746358,8087198,8958265,9694729,9914313,10276214,10362649,10749918,11456653,11553140,11882881,11987065,13189694,13279993,13863768,14257641,14384478,14471828,15596739,15616345,16220665,17126845,17390516,17628121,17703961,18739614,18842420,19388182,19464798,20552214,20674040,21438361,21825201,21942302,22610904,23258295,23761165,23764198,24263233,24368641,24677492,24808848,25183030,25266265,25437267,26168845,26366329,26377652,27778681,27909954,28010281,28513398,28636081,29430104,29886321,30219636,30319518,30422001,30626230,31402614,32354641,33108867,33676345,33684409,34565233,34575565,35253560,35678401,36073465,36347636,36751476,37653181,37671601,37682360,38767165,39265172,39495513,39660255,39683830,40411614,40930009,41490678,41500095,42304272,42319321,42392655,42576841,43288158,43719998,43881716,44144845,44266768,45064628,45218832,46232665,46257638,46520598,46755481,47126845,47402014,47592306,47620596,47722765,47983033,49034721,49161651,49351736,49404875,49614169,49619678,49800114,49860121,50276809,50699965,50871186,51276193,51672081,52047421,52773433,52973814,53501761,53673229,55128433,55158265,55479198,55493689,55520703,55526401,55574761,56552214,56939065,57267318,58365374,58525775,58631053,59285850,59498701,59544529,59607565,60839958,61319161,61511384,62029268,62062993,62457140,63238240,63992894,64378040,65493241,65556001,66082340,66096075,66189918,66412345,67114292,67382841,68326878,68547190,69051038,69200307,69469993,69954265,69982401,70230930,70263992,70403161,70502480,71143020,71529078,71723065,72425295,72690488,72977833,72997603,73243174,73612713,74073241,74216948,74305441,74667865,74912992,74948568,75885888,76138765,76199313,76464518,76630694,77253648,77369281,78237853,78525176,79046991,79298808,79315290,79323430,79345849,79658521,79694814,81178214,81719065,81776799,82256628,82357268,82361758,83296609,83297281,83608250,83945118,84064345,84201278,84277116,84317139,84602976,85371624,85742132,85890038,86067678,86910354,86936041,87516201,88258609,88340823,88454845,88613240,88793108,88938781,89211159,89243294,89601438,90500665,90817748,91366518,91418420,91605513,91757398,93159649,93286678,93651430,93816481,94623572,94807513,95178348,95188116,95383921,95756173,95877560,95891348,96043077,96769993,98062878,98134081,98221161,98644340,99221782,99689895,...,5519714527999010031518046731851515601029566967156610008377680713350264027168912115790781854028942096560295945903422591678950877646696826728913763513883861279085260066060127305201980519617557789311716372629903976811943635575891225978135902126349122615308299919580775526595682499196940560387850781396469456588475718779845149382446000489980454098135677650020577833077327197469150146790240718276199198759550738493812223460857729196201136660439584591949771949448206252815318754168483567630768855503125511572014282904015841698137173657548021132152805940587411703455804639232047891386440676406679498422746778835147732342710727837767477029730033757682563347169492137260641106657865847279475220900254831345929094771644298233398111172999564443032453143809059553023053978792799492234258637124318293431676281072243273254271077179647456955068397293656905058334397632658850073368110607397257316738922043318361236659160016576734607666175504367076390125700518359151564623390638748680527743066133815104592939606583474407797332843810666146503453206948725342594919876760924181819164291021131369788574354869950643294962176393561669003632146521409812846408698717038336879236037782370756878596902150282188156403122526745967742821917851980715377156519152011519604168181231989071781317008770970466895651769107626596039536159123954837007584963410917590306961132229082331833438603739040376673201923506897148102002979647222492280009833366208368430719056814243581089777710960189441349963414715494201280061825369350015783500237905317838041614587311752206985510846474101957798058638818002268163435512489455545285096552835561045797280587525220360368071326564984139303642200419133627630823104648892915607336532783149457692698907103969421841494224570811380810487243353074154740628507029622453263433937661090203869901089962580674013932179574119230159184747970874606087790052721493932439751065632297605982769240992753004567087814237971557847257876888243736353304267247170618031816760095077843411058857172670552553636767406392685376714779419739916328878741207090066131296567380430859947124949883493787639780583332999840823546282174892858326301132140653053895361187895864361731589140619360124991819785061412523734094729753052388804027841264731095937010339784519252436592026955696116842020710582723903781858737731656652962518105589259463511008647521851641915837249991237483798684553540709434435242683062723218683296665524011432683313242097148108253489396309221645377234829005345519484941601957969509626728472988498660370382146933099873734078115146293024665582832838039353785115814538681170567374229473993333862328579201898132932889910618872840143610582259759874898432258287311780665865159501816643251818999870369650760911001882326863748415105720824166876673450626828842012933699453375174734241730567772400393891682385038977465716603278925054602569504685098997136852615412477020759717429187036209631222539951702505304582599843079806517350114292964554681775591440260679595738151322176247900623997595474926043560358647943184693582122117268485863000422139596384076650121949096879039137854051388615971204217256514308687684284286462132045240064056488594419531982843621354086932576033790520928507141403774369204588079773117913301939301124005728689329754048071541413256075427260298067067844935417361538931176734603570945220524157611967996700639160116405598298569360546462917848161412337863434658006320442679849552925580480109316819494768326616951590860155885144175730710559907131850661409756363285658169013924155925667513625974897650107822208021719410696720759572677596354753276953807936986670501978561159648387543823300076417161615012159894736087434677467725405977737380723899368213439739463344958615913770834933541674021012378950798608732508098905460654371662134397417904555478385703462896859155447306423946371139417212725315198649887937177929312913534969712492952525203027918513654457291455567182133790332330119260616920743109784183129493122907986370085148019037262536204221304668249992301203239226066721171884464925299923346267239976112449085357618618426036490796239421399070009395408902431090770817965513337512812363698682501262706199036168392721376666423682965210342502089725562210490032782666118772945102016578877306741604090529658837430377420121949119702874192706376542598097838198411670930872464625109804968318309503059532984455616781314212431495533562625090132015144114268831171761395259566346338281073725654218392034367292462640722046613815263869145719498619788366765331528965894995897214033215483505085013942853711169432146456895850302279786695969862288938895661795470059587008748583371896716939395162214821246329397834558620379115288936919027385113338152285578324401557891813913696385283125420044079921743196049839523598718586503422043245815525362696848266273759144783384782648974915598894220928239397043142220380268840709230185714943757517119347533309230557979967153543254}
30432 1050923609639759035363433092201646155478782403373180835786693931916944430738505374684752: {152135,182562,881687,1246031,1306727,2491898,3305207,3426047,4210727,4497868,4933847,5037602,5234807,5400698,5415287,5594152,5776031,6293421,6489122,6916487,7409548,7575431,7934447,8173631,8300282,8830727,8995144,9427247,10119537,11212007,12130797,12575447,12634631,13219084,13285127,13462367,13712162,14071802,14333224,14441425,15414321,16124877,16226618,16992047,17329710,17660282,17869967,18089785,18279047,18485024,18734018,19010188,19091642,19154327,19179304,19784541,20027807,20551031,20795652,21073607,21576717,21590978,21707742,21738145,22579631,22810847,23016002,23553025,24083258,24310631,24986152,25149218,25403207,25518047,25751341,25842550,25953064,26085774,27402952,28109421,28263630,29082273,29100268,29197197,29687807,30028631,30106562,30147872,30312431,30369167,30459578,30822767,30828321,30846865,31011060,31389047,32067527,32913453,32972065,33078464,33083087,33278522,33630242,33916356,34039847,34545431,35106431,35386682,35646297,35722607,35946431,36728807,36787630,37016238,37213272,37286687,37774545,37899431,37955087,38017864,38189498,38733422,39566478,39848428,39898007,40285562,40292848,40426024,40562668,40617167,40893407,41279807,41864931,41870152,42106487,42601631,42770097,42931367,43182769,43370567,43699631,44028407,44066950,44145156,44247431,44849087,45156218,45329454,45434545,45479277,45939345,46648247,47102950,47103921,47235002,49001968,49081465,49087607,49411631,50688122,51032642,51081167,51242327,51564431,51832631,52660684,52880340,53170631,53491007,53822461,53882152,54521454,54812858,54852145,55088567,55127214,55320904,55333460,55840802,56330785,56405696,56523540,56678927,56837567,56943287,57551162,57629687,57717544,57893327,58897758,58998431,59050967,59525745,59838047,59939618,60291776,60617421,60620738,60623327,60884687,61480993,61689670,62027464,62188487,62236017,62448647,62656631,63435431,63456408,63494128,63604177,63901847,64017698,64212431,64356602,64695362,64932237,64936007,65379628,65548868,65554967,65579997,65822574,66018431,66400152,66789431,67596942,67828248,68709529,68896108,69386457,69422882,69780897,69868909,70617431,70631752,70820327,71073767,71103021,71388459,71430894,71440322,71776058,72590207,73194767,73848407,73880521,73972264,74027604,74429517,74450567,74456762,74600927,74700171,74701127,74791202,74851367,75402952,75651431,75793658,75901031,76127522,76306779,76356424,76889230,77394431,77536585,78071425,78633431,79047800,79458242,79460721,79916687,80472550,81119944,81145487,81781178,82320431,82566913,82602925,82857407,83218797,83892865,84097058,84828321,85746938,85900977,86926031,87307597,87548061,87646631,87829990,88128100,88253224,88413287,88928775,89843788,90019778,90083207,90225887,90674978,90863110,90938207,91102504,91222631,91259937,91270007,91648727,92267076,92771185,92963642,93043902,93309868,93641240,93685710,94268282,94519631,94857360,94940687,95174327,95221031,95372104,95920631,95989341,96199967,96432527,96567060,97314431,98150284,98156470,98285807,98931431,99115607,99123510,99284877,99345647,99463802,99667367,99805127,99931424,...,8279571791998515047277070097777273401544350450734915012566521070025396040753368173686172781043413144840443918855133887518426316470045240093370645270825791918627890099090190957802970779426336683967574558944855965217915453363836838967203853189523683922962449879371163289893523748795410840581776172094704184882713578169767724073669000734970681147203516475030866749615990796203725220185361077414298798139326107740718335191286593794301704990659376887924657924172309379222978131252725351446153283254688267358021424356023762547205760486322031698229208910881117555183706958848071837079661014610019247634120168252721598514066091756651215544595050636523845020754238205890961659986798770919212831350382247018893642157466447350097166759499346664548679715713589329534580968189199238351387955686477440147514421608364909881406615769471185432602595940485357587501596448988275110052165911095885975108383064977541854988740024865101911499263256550614585188550777538727346935085958123020791614599200722656889409409875211611695999265715999219755179810423088013892379815141386272728746436531697054682861532304925964942443264590342503505448219782114719269613048075557505318854056673556135317895353225423282234604683790118951614232876777971073065734778728017279406252271847983607671975513156455700343477653661439894059304238685932255511377445116376385460441698343623497750157905608560565009802885260345722153004469470833738420014750049312552646078585221365371634666566440284162024945122073241301920092738054025023675250356857976757062421880967628310478266269711152936697087958227003402245153268734183317927644829253341568695920881287830540552106989847476208955463300628700441446234656973339373411004799174724186539048360655954132762241336856217071215730865029611232110942760544433679895150906491635305804851634943871011020898269361178845238777121956311909131685079082240898659626598448446408974153861489129506850631721356957336770886815332365604529956400870755927047725140142616765116588285759005828830455151109589028065072169129609874493318111810635099196944851070646289920687424825240681459670874999499761235319423262339287489451698210979580843041781843796542597383710929040187487729677592118785601142094629578583206041761897096643905515509676778878654888040433544175263031065874085855672788106597484979443777158383889195266512971282777462873755874986856225698026830311064151652864024594084828024944998286017149024969863145722162380234094463832468065852243508018279227412402936954264440092709482747990555573220399649810601117172719439536998374249257059030677673721808021755851061344210990000793492868802847199399334865928309260215415873389639812347648387430967670998797739252724964877728499805554476141366502823490295622622658581236250315010175940243263019400549180062762101362595851658600590837523577558466198574904918387581903854257027648495705278923118715531139576143780554314446833809927553757956873899764619709776025171439446832022663387160391019393607226983264371850935996393212389065340537971914777040373183175902728794500633209394576114975182923645318558706781077082923956806325884771463031526426429693198067860096084732891629297974265432031130398864050685781392760712105661553806882119659676869952908951686008593033994631072107312119884113140890447100601767403126042308396765101905356417830786236417951995050958740174608397447854040819694376772242118506795151987009480664019774329388370720163975229242152489925427386290233827716263596065839860697775992114634544928487253520886233888501270438962346475161733312032579116045081139359016394532129915430711905480005752967841739472581315734950114625742422518239842104131152016201588108966606071085849052320159609195017437923870656252400312511031518568426197913098762148358190981557493201596126856833217578555194345288733170959635919556709125819087972797974831905766893969370302454568739428787804541877770481685937183350773200685498495178890925381114664676274694239684361979555127722028555893804306331957002374988451804858839100081757826697387949885019400859964168673628036427927639054736194359132098605014093113353646636156226948270006269218545548023751894059298554252589082064999635524447815513753134588343315735049173999178159417653024868315960112406135794488256145566130182923679554311289059564813897146757297617506396308696937664707452477464254589299476683425171971318647243300343937635198022716171403246757642092889349519507421610588481327588051550938693961083069920722895803718579247929682550147997293448842493845821049823225257627520914280566754148219685343775453419680043954793433408343492693205089380513122875057845075409092743322231869494096751837930568672933405378541077670007228428367486602336837720870544577924688130066119882614794074759285398077879755133064868723288044045272399410638717175077173973462373398341331392359095564713330570403261063845278572415636275679021299963845836969950730314881}
30433 1054166464127495317173311849248906740898146681889026784134362658863763989018771924795380: {60862,243416,273843,3737847,4894883,5622335,6354227,6719063,6746802,6992690,7556403,7870751,8101047,8391228,9261935,9733683,10363331,11114322,11243930,11370722,11457407,12246767,12450423,12541571,13280867,13492716,16174396,16523855,16781891,17916530,19389458,19828626,20552428,20568243,20725298,20922863,21107703,21499836,21862883,22708931,22913306,23106280,23762735,23765762,23974130,23977583,24339927,25994565,26379388,26490423,26559986,27117731,27727536,28101027,28515282,28637463,28768956,28799303,28943656,30032963,31160207,31193478,31232690,32386467,32441330,32561613,32583791,33265631,34253690,34351427,34524003,34781032,35256242,35372771,35407922,36124887,36345287,36375335,36636383,37479228,37684840,37723827,38237303,38631731,38763825,38776364,38929596,39128661,39808847,41104428,41348080,42082967,42165383,42395445,42876722,43650402,43884604,44520983,45159843,45221808,45689367,46516590,47146883,47522330,47528396,48405791,48526466,48737282,49354984,49617696,49810535,49917783,49996031,50013743,50280131,50366060,50445363,50502851,50532530,50703335,50874534,52337690,52732658,52755304,53078063,53080023,54254387,54274031,55181445,55524357,55557362,55819908,56020562,56111603,56158871,57026796,57272162,57284247,57374831,58100133,58170647,58634927,58860208,59349717,59418047,59772642,60209831,60428343,60439272,60639036,60844002,61252460,61614131,61802783,62805228,64709282,64725731,65679263,65825855,65977583,66100425,66158147,66217734,66811871,67352690,67368818,67628303,67734327,67994181,69130466,69151130,69166825,70119731,70370807,70507120,70654425,70852503,70979951,71356802,71797283,72146930,72695272,73502952,74261027,75306362,75343202,75364720,76032183,76548963,77221571,77401103,77534330,78010787,78530344,78991026,79320510,79367660,79714691,80009831,80761271,80823228,81724535,81782181,81860018,81902423,81936085,82219287,82690821,82981356,83000190,83450591,83633567,83761203,83831063,84608544,84638642,84785310,85153682,85253591,86120135,86326743,86576316,87360563,87439996,87541103,87763432,88289690,88346637,88533536,89909427,90129256,90437664,90744767,90931107,91436423,92465330,92515276,92534505,92563907,92977283,93041196,93091223,93510962,93772367,93822707,94253690,94804028,95184612,95241192,95445530,95474531,95966066,96026547,96534903,96776387,97043043,97935971,98021327,98069442,98183807,98323302,98441447,98703472,98733861,98809750,99161663,99228338,99239356,99402167,99600228,99720242,99800951,...,11039429055998020063036093463703031202059133934313220016755361426700528054337824231581563708057884193120591891806845183357901755293393653457827527027767722558170520132120254610403961039235115578623432745259807953623887271151782451956271804252698245230616599839161551053191364998393881120775701562792938913176951437559690298764892000979960908196271355300041155666154654394938300293580481436552398397519101476987624446921715458392402273320879169183899543898896412505630637508336967135261537711006251023144028565808031683396274347315096042264305611881174823406911609278464095782772881352813358996845493557670295464685421455675534954059460067515365126694338984274521282213315731694558950441800509662691858189543288596466796222345999128886064906287618119106046107957585598984468517274248636586863352562144486546508542154359294913910136794587313810116668795265317700146736221214794514633477844086636722473318320033153469215332351008734152780251401036718303129246781277497361055486132267630209185879213166948815594665687621332293006906413897450685189839753521848363638328582042262739577148709739901286589924352787123338007264293042819625692817397434076673758472075564741513757193804300564376312806245053491935485643835703961430754313038304023039208336362463978143562634017541940933791303538215253192079072318247909674015169926821835180613922264458164663666877207478080753346403847013794296204005959294444984560019666732416736861438113628487162179555421920378882699926829430988402560123650738700031567000475810635676083229174623504413971021692948203915596117277636004536326871024978911090570193105671122091594561175050440720736142653129968278607284400838267255261646209297785831214673065566298915385397814207938843682988449141622761620974486706148309481257014059244906526867875322180407739802179925161348027864359148238460318369495941749212175580105442987864879502131264595211965538481985506009134175628475943115694515753776487472706608534494341236063633520190155686822117714345341105107273534812785370753429558839479832657757482414180132262593134760861719894249899766987575279561166665999681647092564349785716652602264281306107790722375791728723463178281238720249983639570122825047468189459506104777608055682529462191874020679569038504873184053911392233684041421165447807563717475463313305925036211178518927022017295043703283831674499982474967597369107081418868870485366125446437366593331048022865366626484194296216506978792618443290754469658010691038969883203915939019253456945976997320740764293866199747468156230292586049331165665676078707570231629077362341134748458947986667724657158403796265865779821237745680287221164519519749796864516574623561331730319003633286503637999740739301521822003764653727496830211441648333753346901253657684025867398906750349468483461135544800787783364770077954931433206557850109205139009370197994273705230824954041519434858374072419262445079903405010609165199686159613034700228585929109363551182880521359191476302644352495801247995190949852087120717295886369387164244234536971726000844279192768153300243898193758078275708102777231942408434513028617375368568572924264090480128112977188839063965687242708173865152067581041857014282807548738409176159546235826603878602248011457378659508096143082826512150854520596134135689870834723077862353469207141890441048315223935993401278320232811196597138721092925835696322824675726869316012640885359699105851160960218633638989536653233903181720311770288351461421119814263701322819512726571316338027848311851335027251949795300215644416043438821393441519145355192709506553907615873973341003957122319296775087646600152834323230024319789472174869354935450811955474761447798736426879478926689917231827541669867083348042024757901597217465016197810921308743324268794835809110956771406925793718310894612847892742278834425450630397299775874355858625827069939424985905050406055837027308914582911134364267580664660238521233841486219568366258986245815972740170296038074525072408442609336499984602406478452133442343768929850599846692534479952224898170715237236852072981592478842798140018790817804862181541635931026675025624727397365002525412398072336785442753332847365930420685004179451124420980065565332237545890204033157754613483208181059317674860754840243898239405748385412753085196195676396823341861744929250219609936636619006119065968911233562628424862991067125250180264030288228537662343522790519132692676562147451308436784068734584925281444093227630527738291438997239576733530663057931789991794428066430967010170027885707422338864292913791700604559573391939724577877791323590940119174017497166743793433878790324429642492658795669117240758230577873838054770226676304571156648803115783627827392770566250840088159843486392099679047197437173006844086491631050725393696532547518289566769565297949831197788441856478794086284440760537681418460371429887515034238695066618461115959934307086508}
30434 1057419267218653139894765161452270196337200921041332410243989785260712459676436304720103: {91293,212989,304270,365124,942493,1306813,1763374,2034589,2492062,2613454,3848989,4934173,4983796,5475793,5836513,6377053,6610414,6737053,6852094,8421454,8995736,9867694,9964093,10075204,10120203,10142689,10469614,10489035,10801396,10830574,11188304,11552062,12586842,12635473,12978244,13832974,14584189,14819096,15150862,15868894,16347262,16600564,16671483,16865895,17051773,17056083,17661454,17929633,17990288,18805693,18854494,20029153,20217995,20239074,22291933,22424014,24261594,24369853,25150894,25232593,25269262,25325699,25690535,26438168,26570254,26780989,26874795,26924734,27424324,28143604,28666448,28882850,29084187,29178013,29348689,29742939,30371233,30433403,30828642,30881533,31087947,31900189,32249754,32453236,32916253,32974235,33984094,34369959,34659420,35320564,35445073,35648643,35739934,35961195,36179570,36558094,36970048,37468036,37790689,37957693,38020376,38183284,38308654,38358608,39569082,39839979,40055614,41102062,41591304,42147214,42772923,43153434,43181956,43185611,43415484,43476290,45159262,45234589,45621694,46032004,46052689,46160891,46705873,46790217,46849035,46868989,47106050,47846173,48166516,48470455,48621262,48661995,49469053,49972304,50116189,50298436,50806414,50923489,51036094,51380535,51502682,51685100,51906128,52171548,52372093,52884363,53111883,53174353,54805904,54855755,56218842,56524189,56527260,58164546,58200536,58394394,59055133,59375614,59410495,60057262,60213124,60295744,60470689,60624862,60738334,60919156,61645534,61656642,61693730,62022120,62778094,62957575,63439933,63608363,64135054,64315083,64992253,65475603,65826906,65920189,65944130,66156928,66166174,66557044,66691489,66845533,67260484,67832712,68079694,68228689,68714051,68994589,69090862,69147553,69774885,70212862,70773364,71129533,71283495,71292594,71445214,71892862,72789699,72797089,73105923,73457614,73575260,74032476,74154973,74426544,74455933,74573374,75549090,75798795,75798862,75910174,76035728,76311801,76378996,76565575,76793003,77449693,77466844,78506535,78639133,78863099,79098987,79132956,79696856,79796014,80571124,80585696,80852048,81125336,81151393,81234334,81786814,82559614,82572347,83204689,83336043,83729862,83740304,83934589,84030843,84212974,84572587,85203262,85540194,85862734,85908243,86258173,86365538,86691793,86741134,87313343,87399262,88056814,88133900,88290312,88494862,89658963,89698174,89708989,90280093,90312436,90565213,90658908,90869090,90958554,90992353,91266003,91276753,91702813,91878690,93296494,94205900,94207842,94470004,95228113,95927773,96606631,96904273,97063923,97579079,98003936,98162930,98175214,98823262,98846689,99209575,99326601,99674833,...,16559143583997030094554140195554546803088700901469830025133042140050792081506736347372345562086826289680887837710267775036852632940090480186741290541651583837255780198180381915605941558852673367935149117889711930435830906727673677934407706379047367845924899758742326579787047497590821681163552344189408369765427156339535448147338001469941362294407032950061733499231981592407450440370722154828597596278652215481436670382573187588603409981318753775849315848344618758445956262505450702892306566509376534716042848712047525094411520972644063396458417821762235110367413917696143674159322029220038495268240336505443197028132183513302431089190101273047690041508476411781923319973597541838425662700764494037787284314932894700194333518998693329097359431427178659069161936378398476702775911372954880295028843216729819762813231538942370865205191880970715175003192897976550220104331822191771950216766129955083709977480049730203822998526513101229170377101555077454693870171916246041583229198401445313778818819750423223391998531431998439510359620846176027784759630282772545457492873063394109365723064609851929884886529180685007010896439564229438539226096151115010637708113347112270635790706450846564469209367580237903228465753555942146131469557456034558812504543695967215343951026312911400686955307322879788118608477371864511022754890232752770920883396687246995500315811217121130019605770520691444306008938941667476840029500098625105292157170442730743269333132880568324049890244146482603840185476108050047350500713715953514124843761935256620956532539422305873394175916454006804490306537468366635855289658506683137391841762575661081104213979694952417910926601257400882892469313946678746822009598349448373078096721311908265524482673712434142431461730059222464221885521088867359790301812983270611609703269887742022041796538722357690477554243912623818263370158164481797319253196896892817948307722978259013701263442713914673541773630664731209059912801741511854095450280285233530233176571518011657660910302219178056130144338259219748986636223621270198393889702141292579841374849650481362919341749998999522470638846524678574978903396421959161686083563687593085194767421858080374975459355184237571202284189259157166412083523794193287811031019353557757309776080867088350526062131748171711345576213194969958887554316767778390533025942565554925747511749973712451396053660622128303305728049188169656049889996572034298049939726291444324760468188927664936131704487016036558454824805873908528880185418965495981111146440799299621202234345438879073996748498514118061355347443616043511702122688421980001586985737605694398798669731856618520430831746779279624695296774861935341997595478505449929755456999611108952282733005646980591245245317162472500630020351880486526038801098360125524202725191703317201181675047155116932397149809836775163807708514055296991410557846237431062279152287561108628893667619855107515913747799529239419552050342878893664045326774320782038787214453966528743701871992786424778130681075943829554080746366351805457589001266418789152229950365847290637117413562154165847913612651769542926063052852859386396135720192169465783258595948530864062260797728101371562785521424211323107613764239319353739905817903372017186067989262144214624239768226281780894201203534806252084616793530203810712835661572472835903990101917480349216794895708081639388753544484237013590303974018961328039548658776741440327950458484304979850854772580467655432527192131679721395551984229269089856974507041772467777002540877924692950323466624065158232090162278718032789064259830861423810960011505935683478945162631469900229251484845036479684208262304032403176217933212142171698104640319218390034875847741312504800625022063037136852395826197524296716381963114986403192253713666435157110388690577466341919271839113418251638175945595949663811533787938740604909137478857575609083755540963371874366701546401370996990357781850762229329352549388479368723959110255444057111787608612663914004749976903609717678200163515653394775899770038801719928337347256072855855278109472388718264197210028186226707293272312453896540012538437091096047503788118597108505178164129999271048895631027506269176686631470098347998356318835306049736631920224812271588976512291132260365847359108622578119129627794293514595235012792617393875329414904954928509178598953366850343942637294486600687875270396045432342806493515284185778699039014843221176962655176103101877387922166139841445791607437158495859365100295994586897684987691642099646450515255041828561133508296439370687550906839360087909586866816686985386410178761026245750115690150818185486644463738988193503675861137345866810757082155340014456856734973204673675441741089155849376260132239765229588149518570796155759510266129737446576088090544798821277434350154347946924746796682662784718191129426661140806522127690557144831272551358042599927691673939901460629762}
30435 1060682049257251309534032546004885043205621520110277933408275841607658039112495202478948: {121724,456405,486832,547686,2645061,3738093,3920181,6229745,7475694,7509541,7871269,9789766,9915621,10278141,11244670,12247573,12594005,12632181,12708454,12966709,13438126,13493604,13501745,13985380,14801541,14981777,15112806,15704421,15741502,16075781,16202094,16222805,16245861,16782456,17328093,18523870,18880263,19467366,20726662,20749461,20750705,22228644,22487860,22726293,22741444,22914814,23133397,23803341,24493534,24520893,24900846,25083142,26492181,26561734,26985432,27701333,28281741,30358611,32348792,33047710,33267829,33563782,33636021,33688853,34280405,34830949,35179505,35833060,36392391,36628829,37726341,37903893,38778916,39657252,39855381,40387101,40566545,40597141,41104856,41136486,41450596,41845726,42215406,42953521,42999672,43324275,43652213,43725766,44150705,45417862,45826612,46212560,46242963,46835045,47525470,47531524,47729105,47948260,47955166,48374631,48679854,49546853,50925469,50976141,51923717,51989130,52758776,52980846,53119972,53609901,53977445,54235462,54269355,54837141,55455072,55877917,56202054,57030564,57274926,57462981,57537912,57540005,57598606,57887312,58478669,59322541,59353623,59421973,60065926,60083421,60208145,61653093,62071181,62320414,62386956,62465380,62765797,62873045,63220821,64118821,64606375,64730151,64772934,64882660,65123226,65167582,65214435,65930993,66531262,67023269,67738893,68432541,68507380,68702854,69048006,69562064,69734749,70512484,70659075,70745542,70815844,70984669,71157073,72249774,72690574,72750670,72931893,72987461,73272766,74958456,75266405,75369680,75401909,75447654,76148945,76209621,76474606,76554141,76671377,77254023,77263462,77527650,77552728,77859192,78186901,78257322,79617694,82208856,82696160,82868773,83196305,84075605,84165934,84328263,84330766,84790890,85753444,87246819,87255773,87300804,87591591,87769208,88270253,88466705,88622437,89041966,89063421,90085893,90262597,90319686,90443616,90937293,91107501,91133149,91378734,91969075,92156197,92468301,92484963,92540595,93033180,93693541,94167141,94293766,94557073,94820021,95044660,95056792,95171341,95473745,96202581,96811582,96833555,97052932,97474564,98709968,98740359,98916195,99235392,99249261,99270161,99621070,99835566,99992062,...,24838715375995545141831210293331820204633051352204745037699563210076188122260104521058518343130239434521331756565401662555278949410135720280111935812477375755883670297270572873408912338279010051902723676834567895653746360091510516901611559568571051768887349638113489869680571246386232521745328516284112554648140734509303172221007002204912043441610549425092600248847972388611175660556083232242896394417978323222155005573859781382905114971978130663773973772516928137668934393758176054338459849764064802074064273068071287641617281458966095094687626732643352665551120876544215511238983043830057742902360504758164795542198275269953646633785151909571535062262714617672884979960396312757638494051146741056680926472399342050291500278498039993646039147140767988603742904567597715054163867059432320442543264825094729644219847308413556297807787821456072762504789346964825330156497733287657925325149194932625564966220074595305734497789769651843755565652332616182040805257874369062374843797602167970668228229625634835087997797147997659265539431269264041677139445424158818186239309595091164048584596914777894827329793771027510516344659346344157808839144226672515956562170020668405953686059676269846703814051370356854842698630333913219197204336184051838218756815543950823015926539469367101030432960984319682177912716057796766534132335349129156381325095030870493250473716825681695029408655781037166459013408412501215260044250147937657938235755664096114903999699320852486074835366219723905760278214162075071025751070573930271187265642902884931434798809133458810091263874681010206735459806202549953782934487760024706087762643863491621656320969542428626866389901886101324338703970920018120233014397524172559617145081967862398286724010568651213647192595088833696332828281633301039685452719474905917414554904831613033062694808083536535716331365868935727395055237246722695978879795345339226922461584467388520551895164070872010312660445997096813589869202612267781143175420427850295349764857277017486491365453328767084195216507388829623479954335431905297590834553211938869762062274475722044379012624998499283705958269787017862468355094632938742529125345531389627792151132787120562463189032776356356803426283888735749618125285691289931716546529030336635964664121300632525789093197622257567018364319792454938331331475151667585799538913848332388621267624960568677094080490933192454958592073782254484074834994858051447074909589437166487140702283391497404197556730524054837682237208810862793320278128448243971666719661198949431803351518158318610995122747771177092033021165424065267553184032632970002380478606408541598198004597784927780646247620168919437042945162292903012996393217758174894633185499416663428424099508470470886867867975743708750945030527820729789058201647540188286304087787554975801772512570732675398595724714755162745711562771082945487115836769356146593418728431341662943340501429782661273870621699293859129328075514318340496067990161481173058180821680949793115552807989179637167196021613915744331121119549527708186383501899628183728344925548770935955676120343231248771870418977654314389094579279289079594203580288254198674887893922796296093391196592152057344178282136316984661420646358979030609858726855058025779101983893216321936359652339422671341301805302209378126925190295305716069253492358709253855985152876220523825192343562122459083130316726355520385455961028441992059322988165112160491925687726457469776282158870701483148790788197519582093327976343903634785461760562658701665503811316887039425485199936097737348135243418077049183596389746292135716440017258903525218417743947204850343877227267554719526312393456048604764326899818213257547156960478827585052313771611968757200937533094555705278593739296286445074572944672479604788380570499652735665583035866199512878907758670127377457263918393924495717300681908110907363706218286363413625633311445057811550052319602056495485536672776143343994028824082719053085938665383166085667681412918995871007124965355414576517300245273480092163849655058202579892506020884109283782917164208583077396295815042279340060939908468680844810018807655636644071255682177895662757767246194998906573343446541259403765029947205147521997534478252959074604947880337218407383464768436698390548771038662933867178694441691440271892852519188926090812994122357432392763767898430050275515913955941729901031812905594068148514209740272926278668048558522264831765443982764154652816081883249209762168687411155737743789047650443991880346527481537463149469675772882562742841700262444659056031326360259040131864380300225030478079615268141539368625173535226227278229966695608482290255513791706018800216135623233010021685285102459807010513162611633733774064390198359647844382224277856194233639265399194606169864132135817198231916151525231521920387120195023994177077286694139991711209783191535835717246908827037063899891537510909852190944643}
30436 1063954840679323593652970965413697370500979919097525601210423986051183021302805683912695: {152155,182586,425978,608540,730248,821529,1428283,1884986,2613626,2700883,3426499,3526748,4069178,4984124,5054923,5226908,7037299,7217083,7697978,9547723,9868346,9967592,10440883,10951586,11213541,11673026,11688283,12754106,13220828,13474106,13704188,14684649,15232843,16642603,16818499,16842908,16867005,16994323,17481725,17872363,17991472,18398323,19062681,19273483,19735388,19928186,20146843,20150408,20157189,20240406,20285378,20321299,20939228,20978070,21366523,21602792,21661148,22376608,22669209,22929499,23104124,23612253,24303141,25173684,25270946,25521499,25956488,27665948,27785805,28097299,28109825,28305193,28426805,28952299,29168378,29201049,29638192,29805499,30301724,30826963,31089993,31737788,32184883,32354299,32523643,32694524,33201128,33342966,33731790,34103546,34112166,34372221,34886899,35322908,35859266,35895403,35966749,35980576,36740301,37351269,37403299,37570483,37611386,37624713,37708988,38071603,39842601,39903499,40058306,40435990,40466393,40478148,40899043,41395843,43047163,44583866,44791325,44848028,46163929,46654723,48473645,48523188,48739706,49571565,49742299,50301788,50345673,50465186,50538524,50651398,51195763,51381070,51813245,52876336,53140508,53561978,53605243,53749590,53849468,53925283,54848648,56157499,56287208,56792683,56951299,57283265,57332896,57585043,57765700,58168374,58356026,58697378,59164363,59414405,59485878,59935325,60265603,60742466,60866806,60893299,61657284,61704729,61763066,62175894,62301403,62768589,63323109,63800378,64014499,64499508,64906472,65588649,65718883,65832506,65948470,66399965,67721923,67858637,67968188,68126793,68739918,69318840,70641128,70890146,70931899,71288205,71297286,71479868,71922390,71932749,72359140,72600643,73019781,73116188,73205299,73808803,73940096,73959499,74561563,74711899,74862163,74936072,75581378,75915386,76040752,76366568,76617308,76717216,76798057,77107483,77852323,77983695,78081725,79138164,79471269,79679958,79780483,80076043,80111228,80518843,81103325,81255403,81353193,82204124,82283563,83174693,83182608,84294428,84303081,84578153,85545846,85634225,85636963,85912389,86306868,86363912,86371222,86397909,86830968,86952580,88140605,88519805,88522003,90098889,90239203,90318524,90469178,90951643,91243388,92064008,92105378,92321782,93078163,93411746,93480621,93580434,93698070,93737978,94212100,95048299,95608603,95692346,96333032,96612989,96940910,97143499,97159401,97242524,97323990,97585501,97684839,97751373,97977043,98392843,98938106,99360523,99796893,99944608,99949421,...,33118287167994060189108280391109093606177401802939660050266084280101584163013472694744691124173652579361775675420535550073705265880180960373482581083303167674511560396360763831211883117705346735870298235779423860871661813455347355868815412758094735691849799517484653159574094995181643362327104688378816739530854312679070896294676002939882724588814065900123466998463963184814900880741444309657195192557304430962873340765146375177206819962637507551698631696689237516891912525010901405784613133018753069432085697424095050188823041945288126792916835643524470220734827835392287348318644058440076990536480673010886394056264367026604862178380202546095380083016952823563846639947195083676851325401528988075574568629865789400388667037997386658194718862854357318138323872756796953405551822745909760590057686433459639525626463077884741730410383761941430350006385795953100440208663644383543900433532259910167419954960099460407645997053026202458340754203110154909387740343832492083166458396802890627557637639500846446783997062863996879020719241692352055569519260565545090914985746126788218731446129219703859769773058361370014021792879128458877078452192302230021275416226694224541271581412901693128938418735160475806456931507111884292262939114912069117625009087391934430687902052625822801373910614645759576237216954743729022045509780465505541841766793374493991000631622434242260039211541041382888612017877883334953680059000197250210584314340885461486538666265761136648099780488292965207680370952216100094701001427431907028249687523870513241913065078844611746788351832908013608980613074936733271710579317013366274783683525151322162208427959389904835821853202514801765784938627893357493644019196698896746156193442623816531048965347424868284862923460118444928443771042177734719580603625966541223219406539775484044083593077444715380955108487825247636526740316328963594638506393793785635896615445956518027402526885427829347083547261329462418119825603483023708190900560570467060466353143036023315321820604438356112260288676518439497973272447242540396787779404282585159682749699300962725838683499997999044941277693049357149957806792843918323372167127375186170389534843716160749950918710368475142404568378518314332824167047588386575622062038707115514619552161734176701052124263496343422691152426389939917775108633535556781066051885131109851495023499947424902792107321244256606611456098376339312099779993144068596099879452582888649520936377855329872263408974032073116909649611747817057760370837930991962222292881598599242404468690877758147993496997028236122710694887232087023404245376843960003173971475211388797597339463713237040861663493558559249390593549723870683995190957010899859510913999222217904565466011293961182490490634324945001260040703760973052077602196720251048405450383406634402363350094310233864794299619673550327615417028110593982821115692474862124558304575122217257787335239710215031827495599058478839104100685757787328090653548641564077574428907933057487403743985572849556261362151887659108161492732703610915178002532837578304459900731694581274234827124308331695827225303539085852126105705718772792271440384338931566517191897061728124521595456202743125571042848422646215227528478638707479811635806744034372135978524288429248479536452563561788402407069612504169233587060407621425671323144945671807980203834960698433589791416163278777507088968474027180607948037922656079097317553482880655900916968609959701709545160935310865054384263359442791103968458538179713949014083544935554005081755849385900646933248130316464180324557436065578128519661722847621920023011871366957890325262939800458502969690072959368416524608064806352435866424284343396209280638436780069751695482625009601250044126074273704791652395048593432763926229972806384507427332870314220777381154932683838543678226836503276351891191899327623067575877481209818274957715151218167511081926743748733403092802741993980715563701524458658705098776958737447918220510888114223575217225327828009499953807219435356400327031306789551799540077603439856674694512145711710556218944777436528394420056372453414586544624907793080025076874182192095007576237194217010356328259998542097791262055012538353373262940196695996712637670612099473263840449624543177953024582264520731694718217245156238259255588587029190470025585234787750658829809909857018357197906733700687885274588973201375750540792090864685612987030568371557398078029686442353925310352206203754775844332279682891583214874316991718730200591989173795369975383284199292901030510083657122267016592878741375101813678720175819173733633373970772820357522052491500231380301636370973288927477976387007351722274691733621514164310680028913713469946409347350883482178311698752520264479530459176299037141592311519020532259474893152176181089597642554868700308695893849493593365325569436382258853322281613044255381114289662545102716085199855383347879802921259524}
30437 1067237672013196127648913868687790879337192266702088065969255978111794141366319877224772: {243448,273879,638967,760675,912810,973664,1095372,2827479,3920439,4408435,5290122,6103767,6230155,6533635,7476186,7691959,7840362,8721643,8786467,11546967,12368323,12459490,14802519,14951388,14982763,15019082,15742538,16015003,16076839,16427379,16526035,16744339,17130235,17509539,17631607,18902443,19131159,19579532,19708183,19831242,20211159,20556282,21053635,22489340,22711927,24495146,24669235,25188010,25264362,25416908,25933418,26174035,26371543,26876252,26987208,27003490,27076435,27360667,27970760,28880155,29050987,29603082,29892279,29963554,30225612,30360609,30428067,31408842,31467105,31483004,32151562,32404188,32445610,32491722,32737939,32826727,33564912,34355959,34582435,34656186,35685463,36106363,37047740,37660627,37679059,37760526,37877155,37906419,38934732,39672235,39814099,40747963,40868155,40938103,41453324,41498922,41501410,43752567,44153635,44457288,44975720,45452586,45482888,45829628,46266794,46764727,47136235,47606682,47992567,48987068,49041786,49251307,49801692,50002627,50014449,50166284,50597685,50942539,51155319,51168249,51588979,52057723,52274563,52984362,53123468,53683843,53788899,53970864,55139347,55402666,55504663,55585783,56060035,56417079,56563482,56793163,57571459,58219747,58952563,59510467,60087459,60653985,60717222,61331287,61810987,62877235,63173155,64697584,65402587,65569063,66095420,66234403,66425635,66535658,66820747,66875799,67127564,67272042,67311835,67377706,68560810,69147139,69661898,70359010,70417099,71666120,72207125,72784782,73109559,73257658,74087959,74585527,75452682,75568423,75697779,75807786,75977097,76066243,76676443,77071605,77557832,77700523,78021079,78253339,79314504,79361623,79710762,80342967,80556007,80624385,80774202,81133090,81194282,82209712,82272972,82901192,83691452,84291403,84430812,84960235,85287763,85691539,85888267,85907042,85999344,86648550,87252561,87304426,87451532,87534039,88022263,88046067,88301410,88769203,89111347,89228817,89349835,90448925,90756739,90835724,91113699,91300209,91395235,91653224,92023363,92425120,92485926,92576119,92644599,93263841,93670090,95050940,95063048,95458210,95487127,95700567,95771635,95896520,95910332,96749262,97118659,97359708,98034259,98748759,98922705,99093706,...,49677430751991090283662420586663640409266102704409490075399126420152376244520209042117036686260478869042663513130803325110557898820271440560223871624954751511767340594541145746817824676558020103805447353669135791307492720183021033803223119137142103537774699276226979739361142492772465043490657032568225109296281469018606344442014004409824086883221098850185200497695944777222351321112166464485792788835956646444310011147719562765810229943956261327547947545033856275337868787516352108676919699528129604148128546136142575283234562917932190189375253465286705331102241753088431022477966087660115485804721009516329591084396550539907293267570303819143070124525429235345769959920792625515276988102293482113361852944798684100583000556996079987292078294281535977207485809135195430108327734118864640885086529650189459288439694616827112595615575642912145525009578693929650660312995466575315850650298389865251129932440149190611468995579539303687511131304665232364081610515748738124749687595204335941336456459251269670175995594295995318531078862538528083354278890848317636372478619190182328097169193829555789654659587542055021032689318692688315617678288453345031913124340041336811907372119352539693407628102740713709685397260667826438394408672368103676437513631087901646031853078938734202060865921968639364355825432115593533068264670698258312762650190061740986500947433651363390058817311562074332918026816825002430520088500295875315876471511328192229807999398641704972149670732439447811520556428324150142051502141147860542374531285805769862869597618266917620182527749362020413470919612405099907565868975520049412175525287726983243312641939084857253732779803772202648677407941840036240466028795048345119234290163935724796573448021137302427294385190177667392665656563266602079370905438949811834829109809663226066125389616167073071432662731737871454790110474493445391957759590690678453844923168934777041103790328141744020625320891994193627179738405224535562286350840855700590699529714554034972982730906657534168390433014777659246959908670863810595181669106423877739524124548951444088758025249996998567411916539574035724936710189265877485058250691062779255584302265574241124926378065552712713606852567777471499236250571382579863433093058060673271929328242601265051578186395244515134036728639584909876662662950303335171599077827696664777242535249921137354188160981866384909917184147564508968149669989716102894149819178874332974281404566782994808395113461048109675364474417621725586640556256896487943333439322397898863606703036316637221990245495542354184066042330848130535106368065265940004760957212817083196396009195569855561292495240337838874085890324585806025992786435516349789266370998833326856848199016940941773735735951487417501890061055641459578116403295080376572608175575109951603545025141465350797191449429510325491423125542165890974231673538712293186837456862683325886681002859565322547741243398587718258656151028636680992135980322962346116361643361899586231105615978359274334392043227831488662242239099055416372767003799256367456689851097541871911352240686462497543740837955308628778189158558578159188407160576508397349775787845592592186782393184304114688356564272633969322841292717958061219717453710116051558203967786432643872719304678845342682603610604418756253850380590611432138506984717418507711970305752441047650384687124244918166260633452711040770911922056883984118645976330224320983851375452914939552564317741402966297581576395039164186655952687807269570923521125317403331007622633774078850970399872195474696270486836154098367192779492584271432880034517807050436835487894409700687754454535109439052624786912097209528653799636426515094313920957655170104627543223937514401875066189111410557187478592572890149145889344959209576761140999305471331166071732399025757815517340254754914527836787848991434601363816221814727412436572726827251266622890115623100104639204112990971073345552286687988057648165438106171877330766332171335362825837991742014249930710829153034600490546960184327699310116405159785012041768218567565834328417166154792591630084558680121879816937361689620037615311273288142511364355791325515534492389997813146686893082518807530059894410295043995068956505918149209895760674436814766929536873396781097542077325867734357388883382880543785705038377852181625988244714864785527535796860100551031827911883459802063625811188136297028419480545852557336097117044529663530887965528309305632163766498419524337374822311475487578095300887983760693054963074926298939351545765125485683400524889318112062652720518080263728760600450060956159230536283078737250347070452454556459933391216964580511027583412037600432271246466020043370570204919614021026325223267467548128780396719295688764448555712388467278530798389212339728264271634396463832303050463043840774240390047988354154573388279983422419566383071671434493817654074127799783075021819704381889286}
30438 1070530573879765652501127366308143357454125016647623013552313164806452823118042777198642: {213017,304310,334697,365172,851956,1217080,1369215,1428377,1460496,1643058,2156057,2856566,2943077,3769972,3970217,5055257,5227252,5401766,5416361,5957477,6852998,6857897,7053496,7277477,7576937,7756517,7935183,8115461,8138356,8354597,9968248,10109846,10441577,10453816,10501061,11036057,11214279,11392361,11760543,12281861,13465061,14074598,14350361,14434166,14703977,15395956,15586757,16643717,17054057,17522537,17932037,18457961,18689235,19095446,19736692,19935184,20148197,20881766,21903172,22427082,22528623,22815461,23346052,23376566,23613807,23623877,23969861,24474415,24488297,24833561,25350917,25508212,26441656,26784617,26899097,26948212,27408376,27642437,28111675,29369298,29693861,29746863,30465686,30545561,30829061,30834423,30885737,31771135,32017577,33285206,33595315,33636998,33685816,33709337,33734010,33988646,34720937,34963450,35561957,35744726,35897861,35953817,35982944,36121637,36736361,36742719,36796646,37628777,37782015,37896543,37907237,38074217,38125362,38546966,38900127,39353755,39470776,39573797,39797527,39856372,40293686,40300816,40314378,40480812,40505235,40570756,40642598,41453861,41878456,41956140,42280361,42733046,43105061,43205584,43322296,43708697,44404623,44753216,44945331,45022361,45240857,45338418,45350057,45568361,45858998,46168037,46208248,46309675,46712357,47113263,47224506,47823919,47961257,48227343,48606282,48668415,48737583,49097861,49961477,50347368,50541892,50930597,51042998,51253061,51816655,51843497,51912976,51984279,52379417,52807577,53342057,53662361,53929061,54248837,55331896,55571610,56194598,56219650,56610386,56640789,56849561,56853610,57287035,57589097,57641861,57904598,58336756,58402098,59168537,59221061,59276384,59610998,60269861,60322217,60583877,60603448,61106597,61233835,61653926,62179986,62248383,62252115,62707855,63085637,63475576,64369766,64381337,64708598,65047286,65389048,65723561,65775077,66032537,66186917,66402256,66404335,66685932,66803717,67463580,67573097,67863103,68178879,68207092,68224332,68238437,68340677,68744442,69259397,69400191,69773798,70378757,70645816,71410023,71718532,71790806,71933498,71961152,72151577,72538543,72908357,73480602,73562679,73562777,73864361,74165657,74566937,74617061,74702538,74806598,74867561,75140966,75222772,75249426,75417976,75917477,76117061,76143206,77162777,78798917,79476543,79539737,79685202,79786277,79806998,80081861,80116612,80196571,80871980,80932786,80956296,81261317,81798086,82338437,82582697,82619275,82791686,83103999,83180167,83314277,83909455,84845223,84965861,86094326,86367257,88576361,89167732,89582650,89696056,90245861,90293417,90673577,91005797,91075833,91242857,92094617,92327858,92959951,93273317,93309446,94071977,94540697,94681157,95382377,95615717,95662361,96947290,97011557,97046376,97475237,97479412,98953637,99137861,99143130,99484598,99551897,99803487,99827561,99955999,...,74516146127986635425493630879995460613899154056614235113098689630228564366780313563175555029390718303563995269696204987665836848230407160840335807437432127267651010891811718620226737014837030155708171030503703686961239080274531550704834678705713155306662048914340469609041713739158697565235985548852337663944422203527909516663021006614736130324831648275277800746543917165833526981668249696728689183253934969666465016721579344148715344915934391991321921317550784413006803181274528163015379549292194406222192819204213862924851844376898285284062880197930057996653362629632646533716949131490173228707081514274494386626594825809860939901355455728714605186788143853018654939881188938272915482153440223170042779417198026150874500835494119980938117441422303965811228713702793145162491601178296961327629794475284188932659541925240668893423363464368218287514368040894475990469493199862973775975447584797876694898660223785917203493369308955531266696956997848546122415773623107187124531392806503912004684688876904505263993391443992977796618293807792125031418336272476454558717928785273492145753790744333684481989381313082531549033978039032473426517432680017547869686510062005217861058179028809540111442154111070564528095891001739657591613008552155514656270446631852469047779618408101303091298882952959046533738148173390299602397006047387469143975285092611479751421150477045085088225967343111499377040225237503645780132750443812973814707266992288344711999097962557458224506098659171717280834642486225213077253211721790813561796928708654794304396427400376430273791624043030620206379418607649861348803463280074118263287931590474864968962908627285880599169705658303973016111912760054360699043192572517678851435245903587194860172031705953640941577785266501088998484844899903119056358158424717752243664714494839099188084424250609607148994097606807182185165711740168087936639386036017680767384753402165561655685492212616030937981337991290440769607607836803343429526261283550886049294571831052459474096359986301252585649522166488870439863006295715892772503659635816609286186823427166133137037874995497851117874809361053587405065283898816227587376036594168883376453398361361687389567098329069070410278851666207248854375857073869795149639587091009907893992363901897577367279592866772701055092959377364814993994425455002757398616741544997165863802874881706031282241472799577364875776221346763452224504984574154341224728768311499461422106850174492212592670191572164513046711626432588379960834385344731915000158983596848295410054554474955832985368243313531276099063496272195802659552097898910007141435819225624794594013793354783341938742860506758311128835486878709038989179653274524683899556498249990285272298525411412660603603927231126252835091583462189367174604942620564858912263362664927405317537712198026195787174144265488237134688313248836461347510308068439780256185294024988830021504289347983821611865097881577387984226542955021488203970484443519174542465042849379346658423967538911501588064841747232993363358648583124559150505698884551185034776646312807867028361029693746315611256932962943167283737837867238782610740864762596024663681768388888280173589776456172032534846408950953984261939076937091829576180565174077337305951679648965809078957018268014023905415906628134380775570885917148207760477076127761567955458628661571475577030686367377249390950179066561156367883085325976177968964495336481475777063179372409328846476612104449446372364592558746279983929031710904356385281687976104996511433950661118276455599808293212044405730254231147550789169238876407149320051776710575655253231841614551031631681802664158578937180368145814292980699454639772641470881436482755156941314835906271602812599283667115835781217888859335223718834017438814365141711498958206996749107598598538636723276010382132371791755181773487151902045724332722091118654859090240876899934335173434650156958806169486456610018328430031982086472248157159257815996149498257003044238756987613021374896066243729551900735820440276491548965174607739677518062652327851348751492625749232188887445126838020182819725406042534430056422966909932213767046533686988273301738584996719720030339623778211295089841615442565992603434758877223814843641011655222150394305310095171646313115988801601536083325074320815678557557566778272438982367072297178291303695290150826547741867825189703095438716782204445542629220818778836004145675566794495296331948292463958448245649747629286506062233467213231367142951331975641039582444612389448409027318647688228525100787333977168093979080777120395593140900675091434238845804424618105875520605678681834689900086825446870766541375118056400648406869699030065055855307379421031539487834901201322193170595078943533146672833568582700917796197583818509592396407451594695748454575694565761161360585071982531231860082419975133629349574607507151740726481111191699674612532729556572833929}
30439 1073833576992778586461526715076065924116818691905732702229919764911206606788180555943547: {456465,486896,547758,1064945,1277934,1521350,1825620,1947328,2190744,2464587,4284849,4712465,5654958,6171809,6534065,7840878,8102649,8722217,8816870,9090497,9147089,9820169,10172945,10279497,10580244,12207534,12369137,12460310,13067270,14617109,14952372,15164769,15383918,15680724,16016057,16745441,17443286,17572934,17899121,19244945,20376257,21111897,21651249,23093934,23136449,23291489,23982329,24670865,24736646,24918980,27378965,28643169,29182565,29475089,29605038,29902776,29965526,30038164,30579569,31166369,31322649,31485076,31885265,32030006,32153678,32854758,33052070,33488678,33640623,33685265,34260470,34536929,35019078,35064849,35263214,36352481,36643649,37804886,37867649,37907009,38262318,38596457,39159064,39416366,39662484,40422318,40432217,40602497,41112564,42091289,42107270,42173729,44053947,44529797,44978680,45423854,45541841,45698529,48415409,48990292,49338470,49820465,49927809,50376020,50455497,50528724,50601015,50713445,50833816,50982969,51866836,52278017,52348070,52445175,52743086,53028017,53088569,53617089,53752504,53974416,54006980,54152870,54721334,55194969,55541129,55885289,55941520,56169989,57188043,57215417,57386177,57760310,57820449,58101974,58182161,59206164,59784558,59927108,60440529,60451224,60471567,60721218,60856134,60963897,61626329,61779029,61815089,62817684,62934210,62966008,63018257,63177365,64099569,64303124,64808376,64891220,64983444,65069129,65475878,65653454,65692289,65990729,67129824,67641689,68007627,68038997,68479637,68711918,68788497,69164870,69312372,70836759,71370926,71811497,72212726,72909423,72920945,73097009,74095480,75321254,75358118,75521052,75754310,75812838,75979649,76564497,77705657,77869464,78484049,79344470,79628198,80025737,81495926,81736310,81876206,82906648,82997844,83002820,83357415,83650121,83847689,84291897,84329475,84915579,85258865,85270469,85280415,85697201,86841761,86856897,87505134,87558497,87603147,88028129,88307270,88442417,88634129,88914576,89416497,89648165,89896469,89951440,90527009,90905172,90965776,91659256,92480889,92533588,92995889,93051557,93109649,93269979,93529454,93791009,94028465,94236569,94272470,94891217,95183897,95213364,95985134,95992769,96554649,97062897,97570929,97974136,98083572,98203241,98502614,99603384,99820709,...,99354861503982180567324841173327280818532205408818980150798252840304752489040418084234073372520957738085327026261606650221115797640542881120447743249909503023534681189082291493635649353116040207610894707338271582614985440366042067606446238274284207075549398552453959478722284985544930086981314065136450218592562938037212688884028008819648173766442197700370400995391889554444702642224332928971585577671913292888620022295439125531620459887912522655095895090067712550675737575032704217353839399056259208296257092272285150566469125835864380378750506930573410662204483506176862044955932175320230971609442019032659182168793101079814586535140607638286140249050858470691539919841585251030553976204586964226723705889597368201166001113992159974584156588563071954414971618270390860216655468237729281770173059300378918576879389233654225191231151285824291050019157387859301320625990933150631701300596779730502259864880298381222937991159078607375022262609330464728163221031497476249499375190408671882672912918502539340351991188591990637062157725077056166708557781696635272744957238380364656194338387659111579309319175084110042065378637385376631235356576906690063826248680082673623814744238705079386815256205481427419370794521335652876788817344736207352875027262175803292063706157877468404121731843937278728711650864231187066136529341396516625525300380123481973001894867302726780117634623124148665836053633650004861040177000591750631752943022656384459615998797283409944299341464878895623041112856648300284103004282295721084749062571611539725739195236533835240365055498724040826941839224810199815131737951040098824351050575453966486625283878169714507465559607544405297354815883680072480932057590096690238468580327871449593146896042274604854588770380355334785331313126533204158741810877899623669658219619326452132250779232334146142865325463475742909580220948986890783915519181381356907689846337869554082207580656283488041250641783988387254359476810449071124572701681711401181399059429108069945965461813315068336780866029555318493919817341727621190363338212847755479048249097902888177516050499993997134823833079148071449873420378531754970116501382125558511168604531148482249852756131105425427213705135554942998472501142765159726866186116121346543858656485202530103156372790489030268073457279169819753325325900606670343198155655393329554485070499842274708376321963732769819834368295129017936299339979432205788299638357748665948562809133565989616790226922096219350728948835243451173281112513792975886666878644795797727213406072633274443980490991084708368132084661696261070212736130531880009521914425634166392792018391139711122584990480675677748171780649171612051985572871032699578532741997666653713696398033881883547471471902974835003780122111282919156232806590160753145216351150219903207090050282930701594382898859020650982846251084331781948463347077424586373674913725366651773362005719130645095482486797175436517312302057273361984271960645924692232723286723799172462211231956718548668784086455662977324484478198110832745534007598512734913379702195083743822704481372924995087481675910617257556378317117156318376814321153016794699551575691185184373564786368608229376713128545267938645682585435916122439434907420232103116407935572865287745438609357690685365207221208837512507700761181222864277013969434837015423940611504882095300769374248489836332521266905422081541823844113767968237291952660448641967702750905829879105128635482805932595163152790078328373311905375614539141847042250634806662015245267548157701940799744390949392540973672308196734385558985168542865760069035614100873670975788819401375508909070218878105249573824194419057307599272853030188627841915310340209255086447875028803750132378222821114374957185145780298291778689918419153522281998610942662332143464798051515631034680509509829055673575697982869202727632443629454824873145453654502533245780231246200209278408225981942146691104573375976115296330876212343754661532664342670725651675983484028499861421658306069200981093920368655398620232810319570024083536437135131668656834332309585183260169117360243759633874723379240075230622546576285022728711582651031068984779995626293373786165037615060119788820590087990137913011836298419791521348873629533859073746793562195084154651735468714777766765761087571410076755704363251976489429729571055071593720201102063655823766919604127251622376272594056838961091705114672194234089059327061775931056618611264327532996839048674749644622950975156190601775967521386109926149852597878703091530250971366801049778636224125305441036160527457521200900121912318461072566157474500694140904909112919866782433929161022055166824075200864542492932040086741140409839228042052650446534935096257560793438591377528897111424776934557061596778424679456528543268792927664606100926087681548480780095976708309146776559966844839132766143342868987635308148255599566150043639408763778572}
30440 1077146712159110933174656473845644662987720583249325754358637038392917846927717196307399: {395551,426034,608620,669394,730344,821637,1124911,1703912,1916901,2216791,2282025,2434160,2738430,2856754,2920992,3286116,3849751,4312114,5476879,5713132,5886154,6017959,6918319,7539944,7940434,8175799,8482437,9250831,9966079,10110514,10144711,10454504,10501759,10803532,10832722,11761317,11914954,13225305,13702231,13705996,13715794,14106992,14554954,15153874,15513034,15646591,15870366,16230922,16276712,16709194,17230951,18108631,18311301,18690465,19600905,19936496,20219692,20883154,20907632,21002122,22072114,22428558,22470031,22784722,22816999,23075877,23521086,24029119,24547519,24563722,25237711,25410079,26164929,26359401,26930122,28149196,28500391,28700722,28868332,29354671,29407954,30547639,30791912,30887839,31148725,31173514,32076271,33092119,33287434,33767911,34108114,34264181,34273999,34640901,35045074,35864074,35956279,36459559,36915922,37104969,37378470,37547705,37965511,38190892,39356345,39473384,39870368,40130479,40296394,41291191,41763532,43806344,44259679,44407557,44479589,44854164,44948289,45057246,45630922,46062271,46692104,46753132,46878751,47033441,47227614,47247754,47939722,48018799,48045009,48230517,48948830,48976594,49282137,49578105,49667122,50233017,50288311,50701834,50934151,51016424,51095431,51390705,52528617,52883312,52894821,53185519,53345791,53569234,53798194,53896424,54816752,55095257,55284874,56223350,56519177,56694871,56707329,57170719,57393477,57645919,58278511,58738596,59124549,59225239,59387722,59493726,60326479,60633477,60640471,60931372,61091122,61110919,61237865,61658122,61668846,61771474,62674399,62970025,63142039,63160905,63542270,64035154,64833545,65779759,66551599,66570412,66859831,67013839,67190630,67273996,67371632,67418674,67468020,67508725,67977292,68135781,69162391,69441874,69926900,70383799,70840639,71123914,71296831,71489452,71795722,71907634,71965888,72207271,72243274,72543317,72812791,73472722,73485438,73568071,73593292,74007705,74321551,74622439,74908885,75073231,75257554,75564030,75793086,75814474,76122559,76148434,76250724,76571191,77093932,77800254,78522105,78707510,78804631,78941552,79114629,79147594,79595054,79712744,80201849,80378905,80587372,80601632,80628756,80961624,81010470,81114025,81141512,81169111,81229305,81285196,82082001,82907722,83756912,83912280,84244519,84560722,85466092,85727369,86210122,86277151,86411168,86421799,86640465,86644592,86710879,86855311,87152961,87417394,87790997,87864319,88809246,89506432,89676837,89871751,89890662,90044722,90300079,90481714,90676836,90700114,91081827,91136722,91284201,91296991,91717996,92336074,92416496,92619350,92966069,93424714,94226526,94401315,94449012,95389471,95647838,95669479,95922514,96454686,96786631,97212564,97336830,97475166,98195722,98213817,98480181,99145279,99559351,99835039,99922954,...,149032292255973270850987261759990921227798308113228470226197379260457128733560627126351110058781436607127990539392409975331673696460814321680671614874864254535302021783623437240453474029674060311416342061007407373922478160549063101409669357411426310613324097828680939218083427478317395130471971097704675327888844407055819033326042013229472260649663296550555601493087834331667053963336499393457378366507869939332930033443158688297430689831868783982643842635101568826013606362549056326030759098584388812444385638408427725849703688753796570568125760395860115993306725259265293067433898262980346457414163028548988773253189651619721879802710911457429210373576287706037309879762377876545830964306880446340085558834396052301749001670988239961876234882844607931622457427405586290324983202356593922655259588950568377865319083850481337786846726928736436575028736081788951980938986399725947551950895169595753389797320447571834406986738617911062533393913995697092244831547246214374249062785613007824009369377753809010527986782887985955593236587615584250062836672544952909117435857570546984291507581488667368963978762626165063098067956078064946853034865360035095739373020124010435722116358057619080222884308222141129056191782003479315183226017104311029312540893263704938095559236816202606182597765905918093067476296346780599204794012094774938287950570185222959502842300954090170176451934686222998754080450475007291560265500887625947629414533984576689423998195925114916449012197318343434561669284972450426154506423443581627123593857417309588608792854800752860547583248086061240412758837215299722697606926560148236526575863180949729937925817254571761198339411316607946032223825520108721398086385145035357702870491807174389720344063411907281883155570533002177996969689799806238112716316849435504487329428989678198376168848501219214297988195213614364370331423480336175873278772072035361534769506804331123311370984425232061875962675982580881539215215673606686859052522567101772098589143662104918948192719972602505171299044332977740879726012591431785545007319271633218572373646854332266274075749990995702235749618722107174810130567797632455174752073188337766752906796722723374779134196658138140820557703332414497708751714147739590299279174182019815787984727803795154734559185733545402110185918754729629987988850910005514797233483089994331727605749763412062564482945599154729751552442693526904449009969148308682449457536622998922844213700348984425185340383144329026093423252865176759921668770689463830000317967193696590820109108949911665970736486627062552198126992544391605319104195797820014282871638451249589188027586709566683877485721013516622257670973757418077978359306549049367799112996499980570544597050822825321207207854462252505670183166924378734349209885241129717824526725329854810635075424396052391574348288530976474269376626497672922695020616136879560512370588049977660043008578695967643223730195763154775968453085910042976407940968887038349084930085698758693316847935077823003176129683494465986726717297166249118301011397769102370069553292625615734056722059387492631222513865925886334567475675734477565221481729525192049327363536777776560347179552912344065069692817901907968523878153874183659152361130348154674611903359297931618157914036536028047810831813256268761551141771834296415520954152255523135910917257323142951154061372734754498781900358133122312735766170651952355937928990672962951554126358744818657692953224208898892744729185117492559967858063421808712770563375952209993022867901322236552911199616586424088811460508462295101578338477752814298640103553421151310506463683229102063263363605328317157874360736291628585961398909279545282941762872965510313882629671812543205625198567334231671562435777718670447437668034877628730283422997916413993498215197197077273446552020764264743583510363546974303804091448665444182237309718180481753799868670346869300313917612338972913220036656860063964172944496314318515631992298996514006088477513975226042749792132487459103801471640880552983097930349215479355036125304655702697502985251498464377774890253676040365639450812085068860112845933819864427534093067373976546603477169993439440060679247556422590179683230885131985206869517754447629687282023310444300788610620190343292626231977603203072166650148641631357115115133556544877964734144594356582607390580301653095483735650379406190877433564408891085258441637557672008291351133588990592663896584927916896491299495258573012124466934426462734285902663951282079164889224778896818054637295376457050201574667954336187958161554240791186281801350182868477691608849236211751041211357363669379800173650893741533082750236112801296813739398060130111710614758842063078975669802402644386341190157887066293345667137165401835592395167637019184792814903189391496909151389131522322721170143965062463720164839950267258699149215014303481452962222383399349225065459113145667858}
30441 1080470010279049028719299495143869844739249040391038361988328646576197482950605495830392: {639051,760775,912930,973792,1004091,1095516,1490923,2129890,2555868,3042700,3651240,3894656,4107645,4285131,4381488,4929174,6468171,6597451,7141415,8569698,8829231,9147691,9424930,10975483,11309916,11910651,12343618,13068130,13504415,13705439,14242123,14618071,15165771,15681756,16205298,16249083,17132495,17444434,17633740,17872431,17900299,18180994,18294178,19640338,20269463,20345890,20558994,20573691,21160488,21832431,22730811,23269551,23805549,24081031,24346383,24415068,24738274,24920620,25063791,25274615,26134540,26942923,27706811,29234218,29703839,29904744,30329538,30767836,31324731,31361448,31503183,32032114,33108171,33490882,33642837,34177083,34539211,34886572,35145868,35186495,35281629,35690171,35798242,36085415,36845583,38330551,38489890,40395183,40479211,40752514,40855591,41572423,42223794,42811151,42962023,43051083,43302498,44111931,44639371,45651551,46187868,46272898,46582978,46760271,47159371,47738615,47964658,49341730,49473292,49556651,49837960,49931151,51162171,52064591,52204415,52567611,53796111,54757930,55373883,56067705,57286338,58365130,58441415,58950178,59210076,59334283,59805552,59931052,60076328,60444591,61159138,61783111,62332738,62472119,62645298,62778223,62970152,63770530,64060012,64307356,65709516,65944031,66104140,66977356,67036523,67281246,67370530,67462511,67585869,68446383,68520940,69073858,69748651,70038156,70129698,70526428,70841421,70871631,70998823,71909583,72704962,73287298,73394879,73423245,73464891,74500683,75416891,75579431,75609772,75735298,75814018,76052751,76164215,76524636,77192914,77394911,78263663,78318128,78832732,79324968,80353851,80697291,80844636,80864434,81204994,82225128,82927311,83213015,84092495,84182578,84214540,84335025,84347458,84971615,86847499,87408625,88107894,88448311,89059594,89081583,89240589,89246399,89361815,89957360,90847708,91083682,91151191,91397058,91636683,91991615,92487183,92503269,92657211,93712123,94575871,95313405,96052731,96367415,96770251,96830818,97131551,97980584,98676940,99640930,99855618,...,223548438383959906276480892639986381841697462169842705339296068890685693100340940689526665088172154910691985809088614962997510544691221482521007422312296381802953032675435155860680211044511090467124513091511111060883717240823594652114504036117139465919986146743021408827125141217476092695707956646557012991833266610583728549989063019844208390974494944825833402239631751497500580945004749090186067549761804908999395050164738032446146034747803175973965763952652353239020409543823584489046138647876583218666578457612641588774555533130694855852188640593790173989960087888897939601150847394470519686121244542823483159879784477429582819704066367186143815560364431559055964819643566814818746446460320669510128338251594078452623502506482359942814352324266911897433686141108379435487474803534890883982889383425852566797978625775722006680270090393104654862543104122683427971408479599588921327926342754393630084695980671357751610480107926866593800090870993545638367247320869321561373594178419511736014054066630713515791980174331978933389854881423376375094255008817429363676153786355820476437261372233001053445968143939247594647101934117097420279552298040052643609059530186015653583174537086428620334326462333211693584287673005218972774839025656466543968811339895557407143338855224303909273896648858877139601214444520170898807191018142162407431925855277834439254263451431135255264677902029334498131120675712510937340398251331438921444121800976865034135997293887672374673518295977515151842503927458675639231759635165372440685390786125964382913189282201129290821374872129091860619138255822949584046410389840222354789863794771424594906888725881857641797509116974911919048335738280163082097129577717553036554305737710761584580516095117860922824733355799503266995454534699709357169074475274153256730994143484517297564253272751828821446982292820421546555497135220504263809918158108053042302154260206496684967056476637848092813944013973871322308822823510410030288578783850652658147883715493157378422289079958903757756948566499466611319589018887147678317510978907449827858560470281498399411113624986493553353624428083160762215195851696448682762128109782506650129360195084085062168701294987207211230836554998621746563127571221609385448918761273029723681977091705692732101838778600318103165278878132094444981983276365008272195850224634991497591408624645118093846724418398732094627328664040290356673514953722463023674186304934498384266320550523476637778010574716493539140134879297765139882503156034195745000476950790544886230163663424867498956104729940593828297190488816587407978656293696730021424307457676874383782041380064350025816228581520274933386506460636127116967538959823574051698669494749970855816895576234237981810811781693378758505274750386568101523814827861694576736790087994782215952613136594078587361522432796464711404064939746509384042530924205319340768555882074966490064512868043951464835595293644732163952679628865064464611911453330557523627395128548138039975271902616734504764194525241698980090075945749373677451517096653653555104329938938423601085083089081238946833770798888829501851213513601716347832222594287788073991045305166664840520769329368516097604539226852861952785817230811275488728541695522232011917855038946897427236871054804042071716247719884403142326712657751444623281431228383284703866375885984714426731092059102131748172850537199683469103649255977928533906893486009444427331189538117227986539429836313348339117093777676238839951787095132713069155845063928314989534301851983354829366799424879636133217190762693442652367507716629221447960155330131726965759695524843653094895045407992475736811541104437442878942098363919317924412644309448265470823944507718814808437797851001347507343653666578005671156502052316443095425134496874620990247322795795615910169828031146397115375265545320461455706137172998166273355964577270722630699803005520303950470876418508459369830054985290095946259416744471477773447988448494771009132716270962839064124688198731188655702207461320829474646895523823219032554187956983554046254477877247696566662335380514060548459176218127603290169268900729796641301139601060964819905215754990159160091018871334633885269524846327697977810304276631671444530923034965666451182915930285514938939347966404804608249975222962447035672672700334817316947101216891534873911085870452479643225603475569109286316150346613336627887662456336508012437026700383485888995844877391875344736949242887859518186700401639694101428853995926923118747333837168345227081955943064685575302362001931504281937242331361186779422702025274302716537413273854317626561817036045504069700260476340612299624125354169201945220609097090195167565922138263094618463504703603966579511785236830599440018500705748102753388592751455528777189222354784087245363727083697283484081755215947593695580247259925400888048723822521455222179443333575099023837598188669718501787}
30442 1083803502346571130071463404074938079925385315653959292910922850923336218286758673669132: {334741,791102,852068,1217240,1338788,1369395,1460688,1610617,1643274,2249822,3064441,3194835,3407824,3803375,3833802,4433582,4513657,4564050,4868320,5236537,5476860,5713508,5841984,6572232,7218517,7393761,7699502,8475241,8624228,10621417,10953758,11426264,11512597,11772308,12035918,12854547,12934741,13836638,14137395,15079888,15588841,15880868,16351598,16821877,16964874,16997737,18501662,18515427,19452217,19602195,19932158,20221028,20289422,20325397,20848441,20909008,21003518,21370837,21607064,21665444,22042175,22934137,23522634,23829908,23973097,24307947,26166651,26450610,26902741,27271491,27404462,27411992,27431588,27441267,27760441,28213984,29109908,29460507,29811577,29982037,30307748,30322741,30518835,30838491,31026068,31150775,31293182,31740732,32360917,32461844,32530297,32553424,32668175,33418388,34461902,36217262,36622602,37107411,37380930,37578217,38413237,38459795,39201810,39872992,40439384,40907497,41569897,41766308,41815264,42004244,42891241,43220857,43608215,43851327,43932335,44144228,44857116,44940062,45356341,45494307,45569444,45633998,45683797,46151754,47042172,48048171,48058238,49095038,49127444,50236323,50475422,50820158,51850741,52172437,52329858,52566787,52718802,53456341,53697363,53860244,54256441,55098883,55532857,56298392,56328277,56963317,57000782,57401444,57734835,57736664,57913717,58709342,58815908,60906217,61095278,61128771,61583824,61775678,61841615,62297450,62347028,62470777,62538971,63335691,64152542,64953747,65578297,66184238,66574868,66795391,67535822,67582741,67890037,68216228,68350441,68528362,68547998,68810197,69281802,69409347,69874467,70090148,71099257,71728148,71912558,71946987,72161941,72919118,73221097,73831844,73975477,74012595,74209938,74728057,74756940,74878357,74913815,75095410,75928441,75931022,76227817,76381784,77124217,78712690,78909241,78946768,79740736,79945717,80075015,80260958,80384195,80592788,81420277,82136895,82582382,82594741,82630175,83527064,83721695,85651175,85733011,85929507,87246517,87547695,87612688,88158035,88397941,88425267,88519358,88815114,88959178,89544757,89708328,89896578,90114492,90766963,91261844,91738707,92124542,93098857,93381241,93384208,93499107,93506264,93757502,93967947,94066882,94085941,94455228,94495508,94512215,95209717,95655795,95879444,96037598,96090018,96189241,96461034,96468457,97897660,97953188,97998997,98540915,98564274,99156210,99334244,99382837,...,298064584511946541701974523519981842455596616226456940452394758520914257467121254252702220117562873214255981078784819950663347392921628643361343229749728509070604043567246874480906948059348120622832684122014814747844956321098126202819338714822852621226648195657361878436166854956634790260943942195409350655777688814111638066652084026458944521299326593101111202986175668663334107926672998786914756733015739878665860066886317376594861379663737567965287685270203137652027212725098112652061518197168777624888771276816855451699407377507593141136251520791720231986613450518530586134867796525960692914828326057097977546506379303239443759605421822914858420747152575412074619759524755753091661928613760892680171117668792104603498003341976479923752469765689215863244914854811172580649966404713187845310519177901136755730638167700962675573693453857472873150057472163577903961877972799451895103901790339191506779594640895143668813973477235822125066787827991394184489663094492428748498125571226015648018738755507618021055973565775971911186473175231168500125673345089905818234871715141093968583015162977334737927957525252330126196135912156129893706069730720070191478746040248020871444232716115238160445768616444282258112383564006958630366452034208622058625081786527409876191118473632405212365195531811836186134952592693561198409588024189549876575901140370445919005684601908180340352903869372445997508160900950014583120531001775251895258829067969153378847996391850229832898024394636686869123338569944900852309012846887163254247187714834619177217585709601505721095166496172122480825517674430599445395213853120296473053151726361899459875851634509143522396678822633215892064447651040217442796172770290070715405740983614348779440688126823814563766311141066004355993939379599612476225432633698871008974658857979356396752337697002438428595976390427228728740662846960672351746557544144070723069539013608662246622741968850464123751925351965161763078430431347213373718105045134203544197178287324209837896385439945205010342598088665955481759452025182863571090014638543266437144747293708664532548151499981991404471499237444214349620261135595264910349504146376675533505813593445446749558268393316276281641115406664828995417503428295479180598558348364039631575969455607590309469118371467090804220371837509459259975977701820011029594466966179988663455211499526824125128965891198309459503104885387053808898019938296617364898915073245997845688427400697968850370680766288658052186846505730353519843337541378927660000635934387393181640218217899823331941472973254125104396253985088783210638208391595640028565743276902499178376055173419133367754971442027033244515341947514836155956718613098098735598225992999961141089194101645650642414415708924505011340366333848757468698419770482259435649053450659709621270150848792104783148696577061952948538753252995345845390041232273759121024741176099955320086017157391935286447460391526309551936906171820085952815881937774076698169860171397517386633695870155646006352259366988931973453434594332498236602022795538204740139106585251231468113444118774985262445027731851772669134951351468955130442963459050384098654727073555553120694359105824688130139385635803815937047756307748367318304722260696309349223806718595863236315828073072056095621663626512537523102283543668592831041908304511046271821834514646285902308122745469508997563800716266244625471532341303904711875857981345925903108252717489637315385906448417797785489458370234985119935716126843617425541126751904419986045735802644473105822399233172848177622921016924590203156676955505628597280207106842302621012927366458204126526727210656634315748721472583257171922797818559090565883525745931020627765259343625086411250397134668463343124871555437340894875336069755257460566845995832827986996430394394154546893104041528529487167020727093948607608182897330888364474619436360963507599737340693738600627835224677945826440073313720127928345888992628637031263984597993028012176955027950452085499584264974918207602943281761105966195860698430958710072250609311405395005970502996928755549780507352080731278901624170137720225691867639728855068186134747953093206954339986878880121358495112845180359366461770263970413739035508895259374564046620888601577221240380686585252463955206406144333300297283262714230230267113089755929468289188713165214781160603306190967471300758812381754867128817782170516883275115344016582702267177981185327793169855833792982598990517146024248933868852925468571805327902564158329778449557793636109274590752914100403149335908672375916323108481582372563602700365736955383217698472423502082422714727338759600347301787483066165500472225602593627478796120260223421229517684126157951339604805288772682380315774132586691334274330803671184790335274038369585629806378782993818302778263044645442340287930124927440329679900534517398298430028606962905924444766798698450130918226291335716}
30443 1087147219449629847495898448180854383423566382688730785864461878478233440060009968812863: {1065085,1186653,1278102,1521550,1673485,1825860,1947584,2008182,2191032,2464911,2981846,3374733,4259780,5111736,5750703,6085400,6650373,6846075,7141885,7302480,7789312,8215290,8570262,8762976,9698557,9858348,9997981,10780285,11549253,11887573,12936342,13194902,13706341,14282830,14373997,14715385,16197337,16430637,17139396,17658462,18053877,18295382,18849860,18906181,19114681,19851085,20270797,20754957,21667357,21950966,22619832,23821302,23985493,24527397,24687236,25276285,25447311,26136260,27008830,27081805,27410878,27752493,28484246,29236142,29787385,29898237,30331542,30434133,30458101,31363512,31505277,32410596,32498166,32744413,34264990,34289485,34888868,35104537,35267480,35283951,35384461,35744862,35800598,36357277,36361988,36387385,36588356,37017373,37686517,37884685,38782585,39280676,39675915,40538926,40577305,40691780,40756021,41106693,41117988,41147382,41390221,41772985,42179293,42320976,43664862,45461622,46317997,46539102,46939773,47611098,47847757,48162062,48692766,48830136,49261093,49476548,49841240,50127582,50519581,50549230,50952613,51692853,52207885,52269080,52505305,53095573,53885846,53951833,54272317,54325893,54933903,55129597,55150261,55180285,55413622,56071395,56961805,57582877,58189837,58231273,58468436,58802715,58964221,59407678,59568157,59809488,60659076,61409305,61535672,62649462,62722896,63006366,63536341,64064228,64231897,66216342,66247501,66780541,66834061,66981764,67285674,67325305,67410093,67650613,68354166,68450997,69078422,69160813,69227631,69773144,70291736,70372990,70431037,70563258,71380342,71596484,71751805,72087357,72170830,73086181,73519885,73642557,73691166,74600293,75399277,75713133,75882841,76081357,76230237,76661102,76975117,76979780,77933785,78494787,78767893,79078203,80787961,80790366,80958422,81505028,81711182,81817981,83144846,83218585,83329741,83661157,84447588,85270285,85501173,85622302,85905301,85924046,86102166,86604996,87278917,87612685,88064013,88223862,88485853,88786777,88974073,89129053,89278742,89660185,89909941,91303102,91466713,91642917,92289805,92375736,92545796,92663517,93121933,93165956,93446175,93520542,94042621,94318742,95477230,95929316,96228813,97137997,98216197,98683460,98946584,99113302,99276357,99675920,99862302,...,447096876767919812552961785279972763683394924339685410678592137781371386200681881379053330176344309821383971618177229925995021089382442965042014844624592763605906065350870311721360422089022180934249026183022222121767434481647189304229008072234278931839972293486042817654250282434952185391415913293114025983666533221167457099978126039688416781948989889651666804479263502995001161890009498180372135099523609817998790100329476064892292069495606351947931527905304706478040819087647168978092277295753166437333156915225283177549111066261389711704377281187580347979920175777795879202301694788941039372242489085646966319759568954859165639408132734372287631120728863118111929639287133629637492892920641339020256676503188156905247005012964719885628704648533823794867372282216758870974949607069781767965778766851705133595957251551444013360540180786209309725086208245366855942816959199177842655852685508787260169391961342715503220960215853733187600181741987091276734494641738643122747188356839023472028108133261427031583960348663957866779709762846752750188510017634858727352307572711640952874522744466002106891936287878495189294203868234194840559104596080105287218119060372031307166349074172857240668652924666423387168575346010437945549678051312933087937622679791114814286677710448607818547793297717754279202428889040341797614382036284324814863851710555668878508526902862270510529355804058668996262241351425021874680796502662877842888243601953730068271994587775344749347036591955030303685007854917351278463519270330744881370781572251928765826378564402258581642749744258183721238276511645899168092820779680444709579727589542849189813777451763715283595018233949823838096671476560326164194259155435106073108611475421523169161032190235721845649466711599006533990909069399418714338148950548306513461988286969034595128506545503657642893964585640843093110994270441008527619836316216106084604308520412993369934112953275696185627888027947742644617645647020820060577157567701305316295767430986314756844578159917807515513897132998933222639178037774295356635021957814899655717120940562996798822227249972987106707248856166321524430391703392897365524256219565013300258720390168170124337402589974414422461673109997243493126255142443218770897837522546059447363954183411385464203677557200636206330557756264188889963966552730016544391700449269982995182817249290236187693448836797464189254657328080580713347029907444926047348372609868996768532641101046953275556021149432987078280269758595530279765006312068391490000953901581089772460327326849734997912209459881187656594380977633174815957312587393460042848614915353748767564082760128700051632457163040549866773012921272254233935077919647148103397338989499941711633791152468475963621623563386757517010549500773136203047629655723389153473580175989564431905226273188157174723044865592929422808129879493018768085061848410638681537111764149932980129025736087902929671190587289464327905359257730128929223822906661115047254790257096276079950543805233469009528389050483397960180151891498747354903034193307307110208659877876847202170166178162477893667541597777659003702427027203432695664445188575576147982090610333329681041538658737032195209078453705723905571634461622550977457083391044464023835710077893794854473742109608084143432495439768806284653425315502889246562862456766569407732751771969428853462184118204263496345701074399366938207298511955857067813786972018888854662379076234455973078859672626696678234187555352477679903574190265426138311690127856629979068603703966709658733598849759272266434381525386885304735015433258442895920310660263453931519391049687306189790090815984951473623082208874885757884196727838635848825288618896530941647889015437629616875595702002695014687307333156011342313004104632886190850268993749241980494645591591231820339656062292794230750531090640922911412274345996332546711929154541445261399606011040607900941752837016918739660109970580191892518833488942955546895976896989542018265432541925678128249376397462377311404414922641658949293791047646438065108375913967108092508955754495393133324670761028121096918352436255206580338537801459593282602279202121929639810431509980318320182037742669267770539049692655395955620608553263342889061846069931332902365831860571029877878695932809609216499950445924894071345345400669634633894202433783069747822171740904959286451206951138218572632300693226673255775324912673016024874053400766971777991689754783750689473898485775719036373400803279388202857707991853846237494667674336690454163911886129371150604724003863008563874484662722373558845404050548605433074826547708635253123634072091008139400520952681224599248250708338403890441218194180390335131844276526189236927009407207933159023570473661198880037001411496205506777185502911057554378444709568174490727454167394566968163510431895187391160494519850801776097447645042910444358886667150198047675196377339437003574}
30444 1090501192770435423380727643762169266586703732110908840939259757984068833264694116541981: {395603,517259,669482,1246523,1582204,1610723,1704136,1917153,2282325,2434480,2677576,2738790,2921376,2943659,3012273,3125123,3221234,3286548,3971003,4152059,4472769,4499644,4574243,5236883,5324725,5778323,6128882,6389670,6815648,7039163,7278923,7606750,7667604,7758059,7937603,8535563,8867164,9027314,9128100,9252059,9371363,9736640,9967403,10443659,10473074,10622123,10953720,11216483,11427016,11683968,11928659,12322935,12855393,12935603,12994763,13144464,13822163,14437034,14787522,15399004,15648683,16823003,16950482,17057483,17233259,17248456,17701643,18111059,19103723,19404513,19792353,20326763,20559323,21242834,21424245,21604259,21907516,22588763,22852528,22935683,23025194,23544616,23562325,24032363,24071836,25356059,25528403,25709094,25869482,25930259,26487693,26790059,27443073,27673276,28274790,28618283,29187923,30040883,30159776,30381563,30859045,31175363,31177682,31761736,32193659,32670325,32703196,32758259,32926449,33643754,33929748,33995474,34896443,35120843,35457203,35731953,35737283,36129059,37003324,37030854,37246259,37636523,37803659,38082059,38471483,38904434,39204390,39748259,39864316,40136003,40442056,40513245,40578844,40650794,41116317,41296883,41407259,41696882,41818016,42007036,42726369,42741674,42949163,43214128,43330888,43611085,43717763,43854213,44046683,44084350,44594243,45452485,45497313,45735445,45868274,46177643,46341059,46885259,47045268,47157059,47659816,47946194,48615894,48675443,48747249,49100845,49432283,49756163,49971923,50133659,50864725,51102563,51210059,51397485,51586043,52176083,52333302,52818659,52901220,53460083,53513483,53617293,53700897,53805482,53843713,54420059,54542982,54808924,54823984,54863176,54882534,55058603,55520882,55589843,56427968,56808659,57178763,58219816,58921014,59623154,59964074,60492059,60615496,60645482,60808389,61037670,61051501,61119563,61505269,61676982,61721073,61845685,62052136,62301550,62586364,63254843,63481464,64239803,64550243,64721834,64923688,65060594,65106848,65336350,65497293,65582963,65943659,66201059,66836776,67126043,67741259,68192433,68508659,68923804,69274259,69808653,69896497,69936323,70952243,71155043,71416647,72217643,72243093,72434524,72823259,72924083,73039149,73085545,73245204,73909693,74181683,74214822,74332259,74733443,74761860,75084059,75156434,75184163,75191373,75823845,76233323,76826474,76919590,77179523,77328659,78221963,78403620,78914963,79745984,79951523,80080285,80296259,80828769,80878768,81279059,81426203,81814994,83120433,83139794,83235059,83532616,83630528,83727205,84008488,84353963,85782482,86289803,86386259,86441714,86578261,86964323,87216430,87252923,87702654,87864670,88288456,88452323,89111517,89495605,89599043,89714232,89880124,90712682,90988614,91138888,91263083,91267996,91367594,92256803,92303508,92728763,93294059,93435203,93974193,94084344,94092923,94509549,94702259,95263523,96096342,96116476,96196403,96224725,96242963,97172483,97358003,97636043,98190076,98254888,99324513,99574259,99712163,...,670645315151879718829442677919959145525092386509528116017888206672057079301022822068579995264516464732075957427265844888992531634073664447563022266936889145408859098026305467582040633133533271401373539274533333182651151722470783956343512108351418397759958440229064226481375423652428278087123869939671038975499799831751185649967189059532625172923484834477500206718895254492501742835014247270558202649285414726998185150494214097338438104243409527921897291857957059717061228631470753467138415943629749655999735372837924766323666599392084567556565921781370521969880263666693818803452542183411559058363733628470449479639353432288748459112199101558431446681093294677167894458930700444456239339380962008530385014754782235357870507519447079828443056972800735692301058423325138306462424410604672651948668150277557700393935877327166020040810271179313964587629312368050283914225438798766763983779028263180890254087942014073254831440323780599781400272612980636915101741962607964684120782535258535208042162199892140547375940522995936800169564644270129125282765026452288091028461359067461429311784116699003160337904431817742783941305802351292260838656894120157930827178590558046960749523611259285861002979386999635080752863019015656918324517076969399631906434019686672221430016565672911727821689946576631418803643333560512696421573054426487222295777565833503317762790354293405765794033706088003494393362027137532812021194753994316764332365402930595102407991881663017124020554887932545455527511782376026917695278905496117322056172358377893148739567846603387872464124616387275581857414767468848752139231169520667064369591384314273784720666177645572925392527350924735757145007214840489246291388733152659109662917213132284753741548285353582768474200067398509800986363604099128071507223425822459770192982430453551892692759818255486464340946878461264639666491405661512791429754474324159126906462780619490054901169429913544278441832041921613966926468470531230090865736351551957974443651146479472135266867239876711273270845699498399833958767056661443034952532936722349483575681410844495198233340874959480660060873284249482286645587555089346048286384329347519950388080585252255186506103884961621633692509664995865239689382713664828156346756283819089171045931275117078196305516335800954309495836634396283334945949829095024816587550673904974492774225873935354281540173255196196283881985992120871070020544861167389071022558914803495152798961651570429913334031724149480617420404637893295419647509468102587235001430852371634658690490990274602496868314189821781484891571466449762223935968881090190064272922373030623151346124140193050077448685744560824800159519381908381350902616879470722155096008484249912567450686728702713945432435345080136275515824251159704304571444483585083730210370263984346647857839409782235762084567298389394134212194819239528152127592772615958022305667646224899470193538604131854394506785880934196491858038886595193393835734359991672570882185385644414119925815707850203514292583575725096940270227837248121032354551289960960665312989816815270803255249267243716840501312396666488505553640540805149043496667782863364221973135915499994521562307988105548292813617680558585858357451692433826466185625086566696035753565116840692281710613164412126215148743159653209426980137973254333869844293685149854111599127657954143280193276177306395244518551611599050407310947767933785601720680458028333281993568614351683959618289508940045017351281333028716519855361285398139207467535191784944968602905555950064488100398274638908399651572288080327957102523149887664343880465990395180897279086574530959284685136223977427210434623313312328636826295091757953773237932928344796412471833523156444425313393553004042522030960999734017013469506156949329286275403490623862970741968387386847730509484093439191346125796635961384367118411518994498820067893731812167892099409016560911851412629255525378109490164955870287838778250233414433320343965345484313027398148812888517192374064596193565967106622383962488423940686571469657097662563870950662138763433631743089699987006141542181645377528654382809870507806702189389923903418803182894459715647264970477480273056614003901655808574538983093933430912829895014333592769104896999353548747790856544816818043899214413824749925668887341107018018101004451950841303650674604621733257611357438929676810426707327858948451039840009883662987369009524037311080101150457666987534632175626034210847728663578554560101204919082304286561987780769356242001511505035681245867829194056725907086005794512845811726994083560338268106075822908149612239821562952879685451108136512209100781429021836898872376062507605835661827291270585502697766414789283855390514110811899738535355710491798320055502117244308260165778254366586331567667064352261736091181251091850452245265647842781086740741779776202664146171467564365666538330000725297071512794566009155505361}
30445 1093865453585739860037219059409038517800675873958320451857282627854314066107894152427831: {1004223,1491119,1977755,2130170,2342879,2373306,2556204,3043100,3346970,3651720,3895168,4016364,4108185,4382064,4831851,4929822,5624555,5963692,6749466,8519560,9193323,9584505,9998639,10223472,10367423,11083955,11410125,11461931,11501406,12170800,13286111,13300746,13540971,13692150,14283770,14374943,14604960,15092399,15578624,15709611,16198403,16430580,16987451,17140524,17525952,19115939,19248755,19397114,19716696,19995962,20601539,21363467,21560570,21655551,21668783,22181283,22380479,23098506,23775146,25425723,25872684,26389804,27384395,27412682,27791519,28565660,28747994,29430770,30089795,31490579,31864251,32394674,32861274,34041407,34278792,34537791,34591595,35316924,35386799,36107754,36590764,37699720,37812362,37914527,38229362,38563641,38804223,39702170,40541594,40878995,41509914,41702339,42338879,42412185,42967691,43334714,43901932,44244719,44538611,45239664,45550847,46066739,46254155,46766523,47642604,47970986,48005279,49054794,49374472,49830395,50465631,50552570,50723555,50894622,50942339,50993211,52272520,52508795,53038559,54017660,54163610,54275903,54295619,54739451,54821756,55504986,55546281,56181107,56808227,56968492,58356651,58472284,58482179,58806585,59342111,59574770,59796474,60233723,60663084,60868266,60916202,60976191,61638527,62545323,62727024,63010554,63030719,64112511,64140011,64201643,64821192,64996332,65082011,65488826,66126525,68052491,68493179,68511155,68529980,68578970,68661683,68802411,69777736,70147583,70209074,70398731,70534960,70567902,70768922,71489724,71601196,71825711,71919291,72714554,72723976,72774770,72923841,73091039,73176712,73507427,74034746,74107583,75088403,75215339,75373034,75769370,75994691,77252399,77565170,78232955,78499953,78561352,79351830,79584443,79746527,80708223,80793299,81077852,81154610,81383560,81512042,81814473,82213386,82235976,82294764,82323801,82780442,83281323,83545970,84358586,84641952,85287347,85973027,86154755,87329724,88381521,89434731,89914331,89946111,90292427,90543155,90544931,90923244,90968223,91556505,92515473,92635994,93078204,93452325,93879546,94255427,94910003,95222196,95695514,95800427,96011807,96324124,97082751,97385532,97590891,97660272,98004525,98480603,98522186,98953096,99441611,99682480,99840467,...,894193753535839625105923570559945527366789848679370821357184275562742772401363762758106660352688619642767943236354459851990042178764885930084029689249185527211812130701740623442720844178044361868498052366044444243534868963294378608458016144468557863679944586972085635308500564869904370782831826586228051967333066442334914199956252079376833563897979779303333608958527005990002323780018996360744270199047219635997580200658952129784584138991212703895863055810609412956081638175294337956184554591506332874666313830450566355098222132522779423408754562375160695959840351555591758404603389577882078744484978171293932639519137909718331278816265468744575262241457726236223859278574267259274985785841282678040513353006376313810494010025929439771257409297067647589734744564433517741949899214139563535931557533703410267191914503102888026721080361572418619450172416490733711885633918398355685311705371017574520338783922685431006441920431707466375200363483974182553468989283477286245494376713678046944056216266522854063167920697327915733559419525693505500377020035269717454704615145423281905749045488932004213783872575756990378588407736468389681118209192160210574436238120744062614332698148345714481337305849332846774337150692020875891099356102625866175875245359582229628573355420897215637095586595435508558404857778080683595228764072568649629727703421111337757017053805724541021058711608117337992524482702850043749361593005325755685776487203907460136543989175550689498694073183910060607370015709834702556927038540661489762741563144503857531652757128804517163285499488516367442476553023291798336185641559360889419159455179085698379627554903527430567190036467899647676193342953120652328388518310870212146217222950843046338322064380471443691298933423198013067981818138798837428676297901096613026923976573938069190257013091007315285787929171281686186221988540882017055239672632432212169208617040825986739868225906551392371255776055895485289235291294041640121154315135402610632591534861972629513689156319835615031027794265997866445278356075548590713270043915629799311434241881125993597644454499945974213414497712332643048860783406785794731048512439130026600517440780336340248674805179948828844923346219994486986252510284886437541795675045092118894727908366822770928407355114401272412661115512528377779927933105460033088783400898539965990365634498580472375386897673594928378509314656161161426694059814889852094696745219737993537065282202093906551112042298865974156560539517191060559530012624136782980001907803162179544920654653699469995824418919762375313188761955266349631914625174786920085697229830707497535128165520257400103264914326081099733546025842544508467870155839294296206794677978999883423267582304936951927243247126773515034021099001546272406095259311446778306947160351979128863810452546376314349446089731185858845616259758986037536170123696821277363074223528299865960258051472175805859342381174578928655810718515460257858447645813322230094509580514192552159901087610466938019056778100966795920360303782997494709806068386614614220417319755753694404340332356324955787335083195555318007404854054406865391328890377151152295964181220666659362083077317474064390418156907411447811143268923245101954914166782088928047671420155787589708947484219216168286864990879537612569306850631005778493125724913533138815465503543938857706924368236408526992691402148798733876414597023911714135627573944037777709324758152468911946157719345253393356468375110704955359807148380530852276623380255713259958137207407933419317467197699518544532868763050773770609470030866516885791840621320526907863038782099374612379580181631969902947246164417749771515768393455677271697650577237793061883295778030875259233751191404005390029374614666312022684626008209265772381700537987498483960989291183182463640679312124585588461501062181281845822824548691992665093423858309082890522799212022081215801883505674033837479320219941160383785037666977885911093791953793979084036530865083851356256498752794924754622808829845283317898587582095292876130216751827934216185017911508990786266649341522056242193836704872510413160677075602919186565204558404243859279620863019960636640364075485338535541078099385310791911241217106526685778123692139862665804731663721142059755757391865619218432999900891849788142690690801339269267788404867566139495644343481809918572902413902276437145264601386453346511550649825346032049748106801533943555983379509567501378947796971551438072746801606558776405715415983707692474989335348673380908327823772258742301209448007726017127748969325444747117690808101097210866149653095417270506247268144182016278801041905362449198496501416676807780882436388360780670263688553052378473854018814415866318047140947322397760074002822992411013554371005822115108756889419136348981454908334789133936327020863790374782320989039701603552194895290085820888717773334300396095350392754678874007148}
30446 1097240033267121898994200930198257543946708451541463751175082864612114953730279802866869: {578113,791206,1034518,1307329,1338964,2398993,2493046,3164408,3195255,3221446,3408272,3559959,3803875,3834306,3850513,4212673,4564650,4868960,5020455,5355152,5477580,5838829,5842752,5887318,6024546,6250246,6442468,6573096,6739729,7394733,7454615,7942006,8304118,8356813,8945538,8999288,9148486,9252673,9431629,10124199,10146733,10473766,10503853,10649450,11556646,12257764,12779340,12995629,13631296,13704973,13882129,14078326,14557846,14590033,14943553,15213500,15335208,15516118,15875206,17071126,17252109,17734328,18054628,18256200,18287629,18504118,18742726,19163329,19473280,19934806,19951119,20538225,20887318,20946148,21244246,21425655,21907440,22432966,22854032,23367936,23857318,24645870,25415233,25710786,25871206,25932013,25989526,26288928,27135313,27644326,28874068,29095671,29575044,29701933,29993943,30798008,31234129,31297366,32340855,32987255,33646006,33900964,34114966,34466518,34496912,34647759,35403286,35662719,35707075,36131533,36222118,37304593,38207446,38809026,39584706,40653526,41118646,41119023,41299729,41465293,42485668,42848490,43121991,43202663,43208518,43815032,44146155,45177526,45253393,45580993,45705056,45738455,45871366,46050388,46398733,47089232,47124650,47703373,48064726,48143672,48592011,48678829,49291911,49489729,50460433,50712118,50944813,51056806,51106129,51267373,51418188,51738964,51860518,52975386,53356993,53517229,53580118,54161631,54877415,54886146,55115629,55346552,56549580,56718543,56865553,57236566,57341293,57344043,58290829,58375846,59553255,60081766,60319552,60496333,60763126,60812391,61055519,61718090,62264871,62350726,62355364,63523472,63633479,64029623,64387318,65002071,65340650,65406392,65516518,65852898,65948353,66720013,67028173,67287508,67522075,67859496,67990948,68527195,68741183,69792886,69941329,70241686,70914406,71210615,71463906,71474566,71956479,72258118,73090355,73582191,73583953,74006648,74061708,74488129,74492518,75089473,75239629,75273046,75607318,75828855,76139053,76164118,76341933,76942966,77808868,78408780,79496518,79728632,80272006,80302093,80884112,81026490,81157688,81245415,81301588,82232634,82593766,82604951,82802113,82814518,83241133,83257479,83393764,83533453,83636032,84014072,84262993,84990733,85452738,85483348,85662475,85898326,86296129,86428256,86440813,86583959,86661776,86874433,87222170,87347819,87435526,87708426,88093366,88168700,89188486,89362155,89501495,89694711,90034513,90605329,90904970,90994626,91302399,91317229,91374303,91470890,91736548,92355286,92682118,93770518,94090536,94287553,94314118,94515831,95319632,95892388,96250129,96808273,96947629,97231788,97350886,97494498,98201690,98233239,98864566,99167533,99512326,99719629,99943846,...,1341290630303759437658885355839918291050184773019056232035776413344114158602045644137159990529032929464151914854531689777985063268147328895126044533873778290817718196052610935164081266267066542802747078549066666365302303444941567912687024216702836795519916880458128452962750847304856556174247739879342077950999599663502371299934378119065250345846969668955000413437790508985003485670028494541116405298570829453996370300988428194676876208486819055843794583715914119434122457262941506934276831887259499311999470745675849532647333198784169135113131843562741043939760527333387637606905084366823118116727467256940898959278706864577496918224398203116862893362186589354335788917861400888912478678761924017060770029509564470715741015038894159656886113945601471384602116846650276612924848821209345303897336300555115400787871754654332040081620542358627929175258624736100567828450877597533527967558056526361780508175884028146509662880647561199562800545225961273830203483925215929368241565070517070416084324399784281094751881045991873600339129288540258250565530052904576182056922718134922858623568233398006320675808863635485567882611604702584521677313788240315861654357181116093921499047222518571722005958773999270161505726038031313836649034153938799263812868039373344442860033131345823455643379893153262837607286667121025392843146108852974444591555131667006635525580708586811531588067412176006988786724054275065624042389507988633528664730805861190204815983763326034248041109775865090911055023564752053835390557810992234644112344716755786297479135693206775744928249232774551163714829534937697504278462339041334128739182768628547569441332355291145850785054701849471514290014429680978492582777466305318219325834426264569507483096570707165536948400134797019601972727208198256143014446851644919540385964860907103785385519636510972928681893756922529279332982811323025582859508948648318253812925561238980109802338859827088556883664083843227933852936941062460181731472703103915948887302292958944270533734479753422546541691398996799667917534113322886069905065873444698967151362821688990396466681749918961320121746568498964573291175110178692096572768658695039900776161170504510373012207769923243267385019329991730479378765427329656312693512567638178342091862550234156392611032671601908618991673268792566669891899658190049633175101347809948985548451747870708563080346510392392567763971984241742140041089722334778142045117829606990305597923303140859826668063448298961234840809275786590839295018936205174470002861704743269317380981980549204993736628379643562969783142932899524447871937762180380128545844746061246302692248280386100154897371489121649600319038763816762701805233758941444310192016968499825134901373457405427890864870690160272551031648502319408609142888967170167460420740527968693295715678819564471524169134596778788268424389638479056304255185545231916044611335292449798940387077208263708789013571761868392983716077773190386787671468719983345141764370771288828239851631415700407028585167151450193880540455674496242064709102579921921330625979633630541606510498534487433681002624793332977011107281081610298086993335565726728443946271830999989043124615976211096585627235361117171716714903384867652932371250173133392071507130233681384563421226328824252430297486319306418853960275946508667739688587370299708223198255315908286560386552354612790489037103223198100814621895535867571203441360916056666563987137228703367919236579017880090034702562666057433039710722570796278414935070383569889937205811111900128976200796549277816799303144576160655914205046299775328687760931980790361794558173149061918569370272447954854420869246626624657273652590183515907546475865856689592824943667046312888850626787106008085044061921999468034026939012313898658572550806981247725941483936774773695461018968186878382692251593271922768734236823037988997640135787463624335784198818033121823702825258511050756218980329911740575677556500466828866640687930690968626054796297625777034384748129192387131934213244767924976847881373142939314195325127741901324277526867263486179399974012283084363290755057308765619741015613404378779847806837606365788919431294529940954960546113228007803311617149077966187866861825659790028667185538209793998707097495581713089633636087798428827649499851337774682214036036202008903901682607301349209243466515222714877859353620853414655717896902079680019767325974738019048074622160202300915333975069264351252068421695457327157109120202409838164608573123975561538712484003023010071362491735658388113451814172011589025691623453988167120676536212151645816299224479643125905759370902216273024418201562858043673797744752125015211671323654582541171005395532829578567710781028221623799477070711420983596640111004234488616520331556508733172663135334128704523472182362502183700904490531295685562173481483559552405328292342935128731333076660001450594143025589132018311010722}
30447 1100624963281272854324113150407392585168363519221240136012255048023584157756540204354974: {1186809,1551777,1673705,2008446,2768857,2982238,3739569,3955510,4260340,4685758,4746612,4832169,5112408,5751459,6086200,6693940,6846975,7303440,7790336,7874377,8032728,8053085,8216370,8764128,8830977,9036819,9375369,9663702,9859644,11249110,11913009,11927384,12252409,12456177,13418307,13498932,13722729,15322205,15517537,15710649,15711113,15974175,16988569,17039120,17334969,18386646,19016875,19169010,19997278,20446944,20734846,21117489,21181133,21364873,21836769,22167910,22568285,22820250,22923862,23002812,23274177,23812809,24341600,25557149,25606689,26182685,26449657,26572222,26601492,26948257,27081942,27384300,27756177,28114089,28567540,28749886,29209920,29709713,29902209,30184798,31157248,31330977,31419222,31866369,32396806,32861160,33649449,33974902,34281048,35051904,35195353,35785977,36092585,36968805,37691489,38231878,38338153,38497510,38566179,38794228,38806809,38984289,39433392,39991924,41203078,41466489,42125713,42376205,42726934,42819617,43121140,43311102,43337566,44362566,44760958,45905933,46197012,46946049,47550292,48313897,48428233,50036857,50469009,50851446,51172449,51699777,51745368,52779608,53104929,53107085,54333177,54768790,54825364,55157537,55583038,55604153,57131320,57230593,57311169,57495988,57562985,57920969,58213539,58861540,59377059,60179590,60980289,61677969,62484473,62790649,62981158,63728502,64144249,64272735,64673705,64755817,64789348,64812777,65722548,67766289,68082814,68557584,68807049,69075582,69183190,69762553,70440329,70552397,70633848,70686975,70773598,71012977,71185309,72097089,72215508,73181528,73409393,73512313,75399440,75594377,75624724,75829054,75874669,76068177,76458724,76585209,77127282,77410289,77608446,77790777,77944205,79387913,79404340,79463079,80370177,81083188,81757990,82329219,82901689,83019828,83404678,84109385,84135593,84677758,84824370,84988685,85227869,85854849,85935382,86669428,87563769,87581689,87803864,88489438,89077222,90122649,90298393,90479328,91101694,91144689,91169233,91272809,92133478,92508310,92577135,93526089,93533046,95285208,95915617,95941972,96010558,96580977,96789409,97261085,98010975,98109588,98274777,98748944,98779347,99660790,...,2011935945455639156488328033759877436575277159528584348053664620016171237903068466205739985793549394196227872281797534666977594902220993342689066800810667436226577294078916402746121899400599814204120617823599999547953455167412351869030536325054255193279875320687192679444126270957284834261371609819013116926499399495253556949901567178597875518770454503432500620156685763477505228505042741811674607947856244180994555451482642292015314312730228583765691875573871179151183685894412260401415247830889248967999206118513774298970999798176253702669697765344111565909640791000081456410357626550234677175091200885411348438918060296866245377336597304675294340043279884031503683376792101333368718018142886025591155044264346706073611522558341239485329170918402207076903175269975414919387273231814017955846004450832673101181807631981498060122430813537941893762887937104150851742676316396300291951337084789542670762263826042219764494320971341799344200817838941910745305225887823894052362347605775605624126486599676421642127821568987810400508693932810387375848295079356864273085384077202384287935352350097009481013713295453228351823917407053876782515970682360473792481535771674140882248570833777857583008938160998905242258589057046970754973551230908198895719302059060016664290049697018735183465069839729894256410930000681538089264719163279461666887332697500509953288371062880217297382101118264010483180086081412598436063584261982950292997096208791785307223975644989051372061664663797636366582535347128080753085836716488351966168517075133679446218703539810163617392373849161826745572244302406546256417693508562001193108774152942821354161998532936718776177582052774207271435021644521467738874166199457977328988751639396854261224644856060748305422600202195529402959090812297384214521670277467379310578947291360655678078279454766459393022840635383793918999474216984538374289263422972477380719388341858470164703508289740632835325496125764841900779405411593690272597209054655873923330953439438416405800601719630133819812537098495199501876301169984329104857598810167048450727044232533485594700022624878441980182619852748446859936762665268038144859152988042559851164241755756765559518311654884864901077528994987595719068148140994484469040268851457267513137793825351234588916549007402862928487509903188850004837849487285074449762652021714923478322677621806062844620519765588588851645957976362613210061634583502167213067676744410485458396884954711289740002095172448441852261213913679886258942528404307761705004292557114903976071472970823807490604942569465344454674714399349286671807906643270570192818767119091869454038372420579150232346057233682474400478558145725144052707850638412166465288025452749737702352060186108141836297306035240408826547472753479112913714333450755251190631110791953039943573518229346707286253701895168182402636584457718584456382778317847874066917002938674698410580615812395563183520357642802589475574116659785580181507203079975017712646556156933242359777447123550610542877750727175290820810683511744363097063653869882881995938969450445812409765747801731150521503937189999465516660921622415447130490003348590092665919407746499983564686923964316644878440853041675757575072355077301479398556875259700088107260695350522076845131839493236378645446229478959628280940413919763001609532881055449562334797382973862429840579828531919185733555654834797151221932843303801356805162041374084999845980705843055051878854868526820135052053843999086149559566083856194417622402605575354834905808716667850193464301194823916725198954716864240983871307569449662993031641397971185542691837259723592877854055408671932281631303869939936985910478885275273861319713798785034389237415500569469333275940180659012127566092882999202051040408518470847987858826210471871588912225905162160543191528452280317574038377389907884153101355234556983496460203681195436503676298227049682735554237887766576134328470494867610863516334750700243299961031896036452939082194446438665551577122193788580697901319867151887465271822059714408971292987691612851986416290300895229269099961018424626544936132585963148429611523420106568169771710256409548683379146941794911432440819169842011704967425723616949281800292738489685043000778307314690998060646243372569634450454131697643241474249777006662023321054054303013355852523910952023813865199772834072316789030431280121983576845353119520029650988962107028572111933240303451373000962603896526878102632543185990735663680303614757246912859685963342308068726004534515107043737603487582170177721258017383538537435180982250681014804318227468724448836719464688858639056353324409536627302344287065510696617128187522817506985481873811756508093299244367851566171542332435699215606067131475394960166506351732924780497334763099758994703001193056785208273543753275551356735796943528343260222225339328607992438514402693096999614990002175891214538383698027466516083}
30448 1104020275190283302545203613100469156784577399349042456641938797752671455271994886309451: {517327,1156226,1582412,1792951,2069036,2614658,2677928,3012669,3065047,3246487,4473357,4797986,4986092,5325425,5418151,5933265,6328816,6390510,6442892,6816544,7028637,7119918,7579447,7607750,7668612,7701026,8367425,8425346,9129300,9372607,9737920,10040910,10436461,10710304,10801951,10955160,11677658,11685504,11692951,11774636,12048847,12049092,12324555,12500492,12582151,12884936,13146192,13479458,14495553,14789466,14909230,15591967,15884012,16608236,16713626,16873665,17001151,17891076,17998576,18296972,18505346,18863258,19630951,20248398,20293466,20947532,21007706,21298900,23113292,24515528,25558680,25991258,26048527,26908207,27262592,27409946,27579969,27764258,27937447,28156652,28753515,29115692,29180066,29887106,29988151,29995917,30427000,30670416,30839551,31032236,31102269,31179607,31750412,32536951,33251865,33720847,34142252,34230375,34385793,34504218,35468656,35574127,35709425,36109256,36512400,36575258,37008236,37485452,37920247,38326658,38421151,38946560,39858333,39869612,39902238,40622913,41076450,41412967,41743951,41774636,41892296,42488492,42851310,43065007,43124829,43394551,43814880,44865932,45277197,45708064,46182157,46735872,47128833,47714636,48492785,48595209,48790447,49291740,49989905,50830466,50962353,51217207,51421572,51742412,51864026,51979052,52577856,53627767,53901425,53947951,54267847,54270626,54427687,55066327,55288652,55544551,57347817,57746265,57748136,57925951,58191342,59150088,59403866,59437865,59504551,59987886,60291151,60605287,61596016,61804617,62468258,62594732,63108007,63886327,64033837,64090401,64662847,64681710,64966653,65006349,65746951,65974510,66056047,66543849,67141437,67292012,67750927,67801928,68229932,68518447,68531705,68933036,68993824,69295518,70657927,70806572,71325438,71414150,71869985,72263066,72444236,72934567,73576925,73840687,74609186,74894551,75195007,76277169,76414892,76828381,77439247,77618052,78332407,79169412,79815247,80110951,80848951,80986685,81307052,81585151,82153185,82237292,82238046,82319551,82599458,82612807,82930586,83344687,83374557,84611549,84971336,85239151,85696980,86243982,86398927,86405326,86417036,87409951,87630064,88292310,88417447,88561087,90269385,90355052,90506786,91161986,91276567,91410112,91476910,91702951,91742732,92100776,92797466,93402007,93543127,94178464,94249300,94471737,94530905,94950367,95406746,95573405,95592753,95651287,95938073,96129452,96287344,96651137,97184022,97357658,97624033,98298367,98583822,98979458,99255425,99405151,99694861,...,2682581260607518875317770711679836582100369546038112464071552826688228317204091288274319981058065858928303829709063379555970126536294657790252089067747556581635436392105221870328162532534133085605494157098133332730604606889883135825374048433405673591039833760916256905925501694609713112348495479758684155901999199327004742599868756238130500691693939337910000826875581017970006971340056989082232810597141658907992740601976856389353752416973638111687589167431828238868244914525883013868553663774518998623998941491351699065294666397568338270226263687125482087879521054666775275213810168733646236233454934513881797918557413729154993836448796406233725786724373178708671577835722801777824957357523848034121540059019128941431482030077788319313772227891202942769204233693300553225849697642418690607794672601110230801575743509308664080163241084717255858350517249472201135656901755195067055935116113052723561016351768056293019325761295122399125601090451922547660406967850431858736483130141034140832168648799568562189503762091983747200678258577080516501131060105809152364113845436269845717247136466796012641351617727270971135765223209405169043354627576480631723308714362232187842998094445037143444011917547998540323011452076062627673298068307877598527625736078746688885720066262691646911286759786306525675214573334242050785686292217705948889183110263334013271051161417173623063176134824352013977573448108550131248084779015977267057329461611722380409631967526652068496082219551730181822110047129504107670781115621984469288224689433511572594958271386413551489856498465549102327429659069875395008556924678082668257478365537257095138882664710582291701570109403698943028580028859361956985165554932610636438651668852529139014966193141414331073896800269594039203945454416396512286028893703289839080771929721814207570771039273021945857363787513845058558665965622646051165719017897296636507625851122477960219604677719654177113767328167686455867705873882124920363462945406207831897774604585917888541067468959506845093083382797993599335835068226645772139810131746889397934302725643377980792933363499837922640243493136997929146582350220357384193145537317390079801552322341009020746024415539846486534770038659983460958757530854659312625387025135276356684183725100468312785222065343203817237983346537585133339783799316380099266350202695619897971096903495741417126160693020784785135527943968483484280082179444669556284090235659213980611195846606281719653336126896597922469681618551573181678590037872410348940005723409486538634761963961098409987473256759287125939566285865799048895743875524360760257091689492122492605384496560772200309794742978243299200638077527633525403610467517882888620384033936999650269802746914810855781729741380320545102063297004638817218285777934340334920841481055937386591431357639128943048338269193557576536848779276958112608510371090463832089222670584899597880774154416527417578027143523736785967432155546380773575342937439966690283528741542577656479703262831400814057170334302900387761080911348992484129418205159843842661251959267261083213020997068974867362005249586665954022214562163220596173986671131453456887892543661999978086249231952422193171254470722234343433429806769735305864742500346266784143014260467362769126842452657648504860594972638612837707920551893017335479377174740599416446396510631816573120773104709225580978074206446396201629243791071735142406882721832113333127974274457406735838473158035760180069405125332114866079421445141592556829870140767139779874411622223800257952401593098555633598606289152321311828410092599550657375521863961580723589116346298123837138740544895909708841738493253249314547305180367031815092951731713379185649887334092625777701253574212016170088123843998936068053878024627797317145101613962495451882967873549547390922037936373756765384503186543845537468473646075977995280271574927248671568397636066243647405650517022101512437960659823481151355113000933657733281375861381937252109592595251554068769496258384774263868426489535849953695762746285878628390650255483802648555053734526972358799948024566168726581510114617531239482031226808757559695613675212731577838862589059881909921092226456015606623234298155932375733723651319580057334371076419587997414194991163426179267272175596857655298999702675549364428072072404017807803365214602698418486933030445429755718707241706829311435793804159360039534651949476038096149244320404601830667950138528702504136843390914654314218240404819676329217146247951123077424968006046020142724983471316776226903628344023178051383246907976334241353072424303291632598448959286251811518741804432546048836403125716087347595489504250030423342647309165082342010791065659157135421562056443247598954141422841967193280222008468977233040663113017466345326270668257409046944364725004367401808981062591371124346962967119104810656584685870257462666153320002901188286051178264036622021444}
30449 1107426000651930631651914916156252962690239516943377961694373956929599049880064007974424: {30449,1734339,1978015,2343187,2373618,2586295,3103554,3347410,3681667,3921987,4016892,5537714,5964476,6232615,7196979,7479138,7911020,8053615,8520680,9371516,9493224,9585765,9664338,10224816,10679877,11274319,11411625,11502918,11551539,12172400,12638019,13387880,13693950,14606880,14718295,14988679,15061365,15580672,15625615,15712147,15748754,16065456,16083187,16106170,16432740,17516487,17528256,17661954,18073638,18567679,18750738,19327404,19719288,19855015,20219187,20760295,21182527,21451087,22184199,22214359,22363845,22498220,22871215,23673031,23716627,23826018,23854768,24504818,24912354,25070439,25558831,25861039,26184415,26623625,26836614,26997864,27319711,27445458,27758019,28294887,28891615,30372597,30440199,30644410,31035074,31421298,31422226,31511559,31595599,31948350,32373847,33977138,34078240,34669938,35111479,35195815,36394615,36655759,36773292,38033750,38338020,38790295,38986887,39688015,39994556,40893888,41114919,41208019,41469692,41646387,42234978,42362266,42677815,42729746,43672387,43673538,43770099,44335820,44544487,44830659,45136570,45640500,45847724,46005624,46260295,46548354,46674079,46856815,47625618,47857219,48683200,49837015,50529619,51046927,51114298,51213378,51306631,51756327,52218295,52365370,52899314,53110615,53144444,53202984,53896514,54163884,54768600,54862887,55140499,55512354,55607827,56082415,56188519,56228178,57135080,57489987,57499772,58242799,58419840,59326687,59419426,59579971,59643295,59804418,59853357,60369596,61614675,61646659,62314496,62661954,62838444,63732738,64244599,64276965,64678015,64793612,64973815,65532247,65713999,65722320,66793747,67298898,67949804,68562096,69110815,69511231,70103808,70390706,71571954,71582359,71835187,72185170,73937610,74349919,74615059,75382978,75436867,75897847,76245699,76463756,76676306,76990339,76995020,77132358,77588456,77613618,77796039,77968578,78243415,78783487,78852679,78866784,79705807,79983848,80052247,80588179,81405939,82406156,82932978,83346307,83346727,83875399,84115015,84251426,84752410,85287415,85298599,85321687,85453868,85639234,86166295,86242280,86622204,86675132,86987647,87287013,88508215,88725132,88804351,88991719,89105799,89270071,89521916,89981829,90543187,90555295,91484887,91811866,91900567,92059879,92394024,93702387,93822079,93892098,94061239,95100584,95518615,96627794,96856466,97022565,98192527,98961765,99316039,99853639,...,4023871890911278312976656067519754873150554319057168696107329240032342475806136932411479971587098788392455744563595069333955189804441986685378133601621334872453154588157832805492243798801199628408241235647199999095906910334824703738061072650108510386559750641374385358888252541914569668522743219638026233852998798990507113899803134357195751037540909006865001240313371526955010457010085483623349215895712488361989110902965284584030628625460457167531383751147742358302367371788824520802830495661778497935998412237027548597941999596352507405339395530688223131819281582000162912820715253100469354350182401770822696877836120593732490754673194609350588680086559768063007366753584202666737436036285772051182310088528693412147223045116682478970658341836804414153806350539950829838774546463628035911692008901665346202363615263962996120244861627075883787525775874208301703485352632792600583902674169579085341524527652084439528988641942683598688401635677883821490610451775647788104724695211551211248252973199352843284255643137975620801017387865620774751696590158713728546170768154404768575870704700194018962027426590906456703647834814107753565031941364720947584963071543348281764497141667555715166017876321997810484517178114093941509947102461816397791438604118120033328580099394037470366930139679459788512821860001363076178529438326558923333774665395001019906576742125760434594764202236528020966360172162825196872127168523965900585994192417583570614447951289978102744123329327595272733165070694256161506171673432976703932337034150267358892437407079620327234784747698323653491144488604813092512835387017124002386217548305885642708323997065873437552355164105548414542870043289042935477748332398915954657977503278793708522449289712121496610845200404391058805918181624594768429043340554934758621157894582721311356156558909532918786045681270767587837998948433969076748578526845944954761438776683716940329407016579481265670650992251529683801558810823187380545194418109311747846661906878876832811601203439260267639625074196990399003752602339968658209715197620334096901454088465066971189400045249756883960365239705496893719873525330536076289718305976085119702328483511513531119036623309769729802155057989975191438136296281988968938080537702914535026275587650702469177833098014805725856975019806377700009675698974570148899525304043429846956645355243612125689241039531177177703291915952725226420123269167004334426135353488820970916793769909422579480004190344896883704522427827359772517885056808615523410008585114229807952142945941647614981209885138930688909349428798698573343615813286541140385637534238183738908076744841158300464692114467364948800957116291450288105415701276824332930576050905499475404704120372216283672594612070480817653094945506958225827428666901510502381262221583906079887147036458693414572507403790336364805273168915437168912765556635695748133834005877349396821161231624791126367040715285605178951148233319571160363014406159950035425293112313866484719554894247101221085755501454350581641621367023488726194127307739765763991877938900891624819531495603462301043007874379998931033321843244830894260980006697180185331838815492999967129373847928633289756881706083351515150144710154602958797113750519400176214521390701044153690263678986472757290892458957919256561880827839526003219065762110899124669594765947724859681159657063838371467111309669594302443865686607602713610324082748169999691961411686110103757709737053640270104107687998172299119132167712388835244805211150709669811617433335700386928602389647833450397909433728481967742615138899325986063282795942371085383674519447185755708110817343864563262607739879873971820957770550547722639427597570068778474831001138938666551880361318024255132185765998404102080817036941695975717652420943743177824451810324321086383056904560635148076754779815768306202710469113966992920407362390873007352596454099365471108475775533152268656940989735221727032669501400486599922063792072905878164388892877331103154244387577161395802639734303774930543644119428817942585975383225703972832580601790458538199922036849253089872265171926296859223046840213136339543420512819097366758293883589822864881638339684023409934851447233898563600585476979370086001556614629381996121292486745139268900908263395286482948499554013324046642108108606026711705047821904047627730399545668144633578060862560243967153690706239040059301977924214057144223866480606902746001925207793053756205265086371981471327360607229514493825719371926684616137452009069030214087475206975164340355442516034767077074870361964501362029608636454937448897673438929377717278112706648819073254604688574131021393234256375045635013970963747623513016186598488735703132343084664871398431212134262950789920333012703465849560994669526199517989406002386113570416547087506551102713471593887056686520444450678657215984877028805386193999229980004351782429076767396054933032166}
30450 1110842171419967451833066201033390003849834816910182976504070483806315623708190020861250: {578189,699821,1034654,1428941,1793069,1853729,2312452,2520461,3125741,3164824,3307169,3560427,3585902,3851021,3971789,4138072,4152881,4655331,4756001,5021115,5229316,5355856,5418509,5478689,5779469,5959841,6025338,6130094,6492974,6860621,7220429,7455595,7939181,8118689,8306571,8477489,8946714,9373229,9432881,9552161,9595972,9888775,9969389,9972184,10148081,10445741,10624241,10650850,10802669,10836302,11218707,11396909,11714395,11866530,12642209,12657632,12781020,12885784,13174829,13633088,13824929,14002061,14057274,14239836,14496507,14709869,15063341,15158894,15215500,15337224,15402052,15651821,16734850,16850692,17002289,17060909,17236721,17254377,17529581,17880749,18258600,18290081,18406961,18745214,18815789,19282541,19475840,19690529,20081820,20540925,20563469,20872922,21086369,21420608,21603902,21608621,21782561,21910320,23344781,23355316,23371008,23385902,23549272,23623131,23979569,24097694,24098184,24159255,24325409,24649110,24843629,25000984,25164302,25533581,25769872,25935521,26050289,26107661,26292384,26492931,26958916,27110457,27138989,28122775,28126107,28510061,28795121,28991106,29364641,29578932,29818460,29819681,30047009,30558029,30841649,30898349,31181729,31183934,31238381,31768024,31917581,32369741,32764961,32934221,33216472,33427252,33747330,33779441,34002302,34060781,34566689,35739027,35782152,35912609,35997152,36472049,36593944,36751469,36757227,37010692,37253921,37368531,37421261,37726516,37811441,37978541,38423789,38479409,38646221,39261902,39922721,40254921,40496796,40586932,41168187,41305421,41415821,41471009,41581361,41895064,42015412,42597800,42628109,43122929,44055821,44767649,45368909,45587309,45696461,45966615,46226584,46350701,46514081,46552611,47131947,47133339,47166881,47710001,47922525,48793841,48847949,49031056,49442609,49993195,50144141,50305841,50965707,51117360,51220781,51274529,51596849,51837115,51982516,52004907,52097054,52187021,52401389,52829741,53471309,53631521,53684909,53816414,54271649,54525184,54591281,54819892,55123361,55159938,55419775,55528516,55601549,55874894,56185121,56313304,56555981,56979341,57050625,57190829,57309655,57349361,57507030,57930029,58231384,58360132,58562381,59508749,59774212,59976302,59991834,60347789,60609569,60661901,60854000,60923441,61132529,61340832,61679102,62064472,62204538,62359214,62696609,63164429,63352467,63500824,63543399,63890861,63942689,64094619,64408781,65073902,65510307,65751629,65803169,66060749,66430555,66503730,66832289,67140401,67294349,67441694,67704855,67889899,67909421,68284504,68460750,68771586,69008436,69034061,69822531,69951341,69985867,70662989,70937312,71119649,71148254,71322401,71418850,71438427,71874715,72218512,73024800,73150516,73242161,73594541,73846001,73896269,74016472,74197709,74348321,74498861,74599181,74899949,74970904,75100301,75200429,75250481,75461995,75840494,76150049,76249841,76653316,76671447,76820067,76842302,76847921,77345441,77494541,77891789,77893120,78238961,78548055,79348971,79716666,79739224,79804476,80116769,80844771,80992015,81245826,81443981,81591089,81640109,82152900,82374449,82814189,82825934,82911821,83213011,83268531,83350769,83487902,83549272,83784592,84342267,84372461,84518129,84937255,84976984,85293809,85702620,86130014,86249658,86405261,86453489,86789102,86983469,87416369,87629760,88471841,88615469,88902509,89129139,89706627,89731864,89761901,90143021,90554394,90618701,90713741,90998669,91330721,91416128,91709729,91757069,92135501,92364314,92749361,93314801,93455981,93471744,93597089,93992931,94113869,94257666,94301549,95004209,95424941,95429272,95579695,95599107,95658401,95705069,95944387,95984909,96243775,96985570,97054961,97190418,97518881,97580894,98351921,98583480,98767469,99412589,99596621,99734561,99872429,99979810,99995467,...,6035807836366917469464984101279632309725831478585753044160993860048513713709205398617219957380648182588683616845392604000932784706662980028067200402432002308679731882236749208238365698201799442612361853470799998643860365502237055607091608975162765579839625962061578038332378812871854502784114829457039350779498198485760670849704701535793626556311363510297501860470057290432515685515128225435023823843568732542983666354447926876045942938190685751297075626721613537453551057683236781204245743492667746903997618355541322896912999394528761108009093296032334697728922373000244369231072879650704031525273602656234045316754180890598736132009791914025883020129839652094511050130376304000106154054428658076773465132793040118220834567675023718455987512755206621230709525809926244758161819695442053867538013352498019303545422895944494180367292440613825681288663811312452555228028949188900875854011254368628012286791478126659293482962914025398032602453516825732235915677663471682157087042817326816872379459799029264926383464706963431201526081798431162127544885238070592819256152231607152863806057050291028443041139886359685055471752221161630347547912047081421377444607315022422646745712501333572749026814482996715726775767171140912264920653692724596687157906177180049992870149091056205550395209519189682769232790002044614267794157489838385000661998092501529859865113188640651892146303354792031449540258244237795308190752785948850878991288626375355921671926934967154116184993991392909099747606041384242259257510149465055898505551225401038338656110619430490852177121547485480236716732907219638769253080525686003579326322458828464062485995598810156328532746158322621814305064933564403216622498598373931986966254918190562783673934568182244916267800606586588208877272436892152643565010832402137931736841874081967034234838364299378179068521906151381756998422650953615122867790268917432142158165025575410494110524869221898505976488377294525702338216234781070817791627163967621769992860318315249217401805158890401459437611295485598505628903509952987314572796430501145352181132697600456784100067874635325940547859558245340579810287995804114434577458964127679553492725267270296678554934964654594703232586984962787157204444422983453407120806554371802539413381476053703766749647022208588785462529709566550014513548461855223349287956065144770434968032865418188533861559296765766554937873929087839630184903750506501639203030233231456375190654864133869220006285517345325556783641741039658776827585212923285115012877671344711928214418912471422471814827708396033364024143198047860015423719929811710578456301357275608362115117261737450697038171701047423201435674437175432158123551915236499395864076358249213107056180558324425508891918105721226479642418260437338741143000352265753571893332375859119830720554688040121858761105685504547207909753373155753369148334953543622200751008816024095231741847437186689550561072928407768426722349979356740544521609239925053137939668470799727079332341370651831628633252181525872462432050535233089291190961609648645987816908351337437229297243405193451564511811569998396549982764867246341391470010045770277997758223239499950694060771892949934635322559125027272725217065231904438195670625779100264321782086051566230535395518479709135936338688436878884842821241759289004828598643166348687004392148921587289521739485595757557200666964504391453665798529911404070415486124122254999537942117529165155636564605580460405156161531997258448678698251568583252867207816726064504717426150003550580392903584471750175596864150592722951613922708348988979094924193913556628075511779170778633562166226015796844893911609819810957731436655825821583959141396355103167712246501708407999827820541977036382698278648997606153121225555412543963576478631415614766736677715486481629574585356840952722115132169723652459304065703670950489380611043586309511028894681149048206662713663299728402985411484602832590549004252100729899883095688109358817246583339315996654731366581365742093703959601455662395815466179143226913878963074838555959248870902685687807299883055273879634808397757889445288834570260319704509315130769228646050137440825384734297322457509526035114902277170850847845400878215469055129002334921944072994181938730117708903351362395092929724422749331019986069963162162909040067557571732856071441595599318502216950367091293840365950730536059358560088952966886321085716335799720910354119002887811689580634307897629557972206991040910844271740738579057890026924206178013603545321131212810462746510533163774052150615612305542946752043044412954682406173346510158394066575917169059973228609881907032861196532089851384562568452520956445621435269524279897733103554698514626997307097646818201394426184880499519055198774341492004289299276984109003579170355624820631259826654070207390830585029780666676017985823977315543208079290998844970006527673643615151094082399548249}
30451 1114268819344410870445016397778575084624035598202929515985031527945523082828585486235261: {60898,1551981,2769221,2890565,3468678,3620813,3956030,4351061,4686374,4747236,5172590,5378853,6207108,6536645,6694820,7363334,7843974,8033784,8725661,9038007,9195141,9739461,11075428,11275061,11928952,11994965,12374021,12465230,13420071,14393958,14958276,15822040,15976275,16022381,16107230,16254453,16752053,17041360,17799795,18568901,18743032,18986448,19019375,19171530,19252565,19328676,20449632,20605613,21063365,21085911,21359754,21875861,22215821,22548638,22738341,22823250,23005836,23103078,23674589,24344800,24384701,24827813,25102275,25276038,25862741,26775760,27321509,27387900,27797021,28028741,28117821,29064413,29194145,29203829,29213760,29436590,29977358,30122730,31161344,31251230,31309383,31424294,31497508,32019701,32130912,32166374,32212340,32405853,32865480,33698645,34588013,35032974,35056512,35078853,35323908,36146541,36147276,36658181,36973665,37135358,37273075,37501476,37746453,38260001,38654808,39438576,39710030,40438374,40448261,41520590,41784065,42347261,42365054,42604901,42902174,43486659,44368398,44428718,44727690,44996440,45742430,46263365,46775901,47158145,47346062,47433254,47652036,47709536,49009636,49274141,49824708,49892981,50140878,50620995,50733665,50952461,51003453,51117662,51612821,51722078,52368830,52519265,52808213,53247250,53537021,53673228,53995728,54306413,54639422,54890916,55516038,55563221,56589774,57783230,58892853,59748941,60245669,60745194,60880398,61288820,62070148,62798933,62842596,62844452,63023118,63191198,63896700,64747694,64764413,64978145,65094893,65432813,65599541,65718341,66197549,67954276,68156480,68524865,68675261,69339876,69410645,69771821,70222958,70391630,70412693,72789230,72950165,73105613,73311518,73546584,74305109,74354861,74717765,75230213,76009733,76067500,76101509,76676040,77447201,77580590,77973774,78145581,78515381,79376030,79600181,79989112,80003813,80724621,81787776,81951041,82229838,82416038,82739907,82939384,83292774,83500613,83812341,83880941,84469956,84724532,85355630,85459492,86260545,87344774,87347076,87412421,87540198,88671640,89088974,89152661,89661318,89933789,89964453,89987751,90273140,90549221,90562853,90963341,91181261,91281000,91438145,91695448,92011248,92518653,92520590,93088481,93096708,93306807,93348158,93538821,93713630,93743093,94607201,94928789,95251236,95714438,95816645,95819393,96755141,97366400,97610853,98500181,99220721,99461333,99674030,99755595,...,8047743781822556625953312135039509746301108638114337392214658480064684951612273864822959943174197576784911489127190138667910379608883973370756267203242669744906309176315665610984487597602399256816482471294399998191813820669649407476122145300217020773119501282748770717776505083829139337045486439276052467705997597981014227799606268714391502075081818013730002480626743053910020914020170967246698431791424976723978221805930569168061257250920914335062767502295484716604734743577649041605660991323556995871996824474055097195883999192705014810678791061376446263638563164000325825641430506200938708700364803541645393755672241187464981509346389218701177360173119536126014733507168405333474872072571544102364620177057386824294446090233364957941316683673608828307612701079901659677549092927256071823384017803330692404727230527925992240489723254151767575051551748416603406970705265585201167805348339158170683049055304168879057977283885367197376803271355767642981220903551295576209449390423102422496505946398705686568511286275951241602034775731241549503393180317427457092341536308809537151741409400388037924054853181812913407295669628215507130063882729441895169926143086696563528994283335111430332035752643995620969034356228187883019894204923632795582877208236240066657160198788074940733860279358919577025643720002726152357058876653117846667549330790002039813153484251520869189528404473056041932720344325650393744254337047931801171988384835167141228895902579956205488246658655190545466330141388512323012343346865953407864674068300534717784874814159240654469569495396647306982288977209626185025670774034248004772435096611771285416647994131746875104710328211096829085740086578085870955496664797831909315955006557587417044898579424242993221690400808782117611836363249189536858086681109869517242315789165442622712313117819065837572091362541535175675997896867938153497157053691889909522877553367433880658814033158962531341301984503059367603117621646374761090388836218623495693323813757753665623202406878520535279250148393980798007505204679937316419430395240668193802908176930133942378800090499513767920730479410993787439747050661072152579436611952170239404656967023027062238073246619539459604310115979950382876272592563977937876161075405829070052551175301404938355666196029611451713950039612755400019351397949140297799050608086859693913290710487224251378482079062354355406583831905450452840246538334008668852270706977641941833587539818845158960008380689793767409044855654719545035770113617231046820017170228459615904285891883295229962419770277861377818698857597397146687231626573082280771275068476367477816153489682316600929384228934729897601914232582900576210831402553648665861152101810998950809408240744432567345189224140961635306189891013916451654857333803021004762524443167812159774294072917386829145014807580672729610546337830874337825531113271391496267668011754698793642322463249582252734081430571210357902296466639142320726028812319900070850586224627732969439109788494202442171511002908701163283242734046977452388254615479531527983755877801783249639062991206924602086015748759997862066643686489661788521960013394360370663677630985999934258747695857266579513763412166703030300289420309205917594227501038800352429042781402088307380527357972945514581784917915838513123761655679052006438131524221798249339189531895449719362319314127676742934222619339188604887731373215205427220648165496339999383922823372220207515419474107280540208215375996344598238264335424777670489610422301419339623234866671400773857204779295666900795818867456963935485230277798651972126565591884742170767349038894371511416221634687729126525215479759747943641915541101095445278855195140137556949662002277877333103760722636048510264371531996808204161634073883391951435304841887486355648903620648642172766113809121270296153509559631536612405420938227933985840814724781746014705192908198730942216951551066304537313881979470443454065339002800973199844127584145811756328777785754662206308488775154322791605279468607549861087288238857635885171950766451407945665161203580917076399844073698506179744530343852593718446093680426272679086841025638194733516587767179645729763276679368046819869702894467797127201170953958740172003113229258763992242584973490278537801816526790572965896999108026648093284216217212053423410095643808095255460799091336289267156121725120487934307381412478080118603955848428114288447732961213805492003850415586107512410530172743962942654721214459028987651438743853369232274904018138060428174950413950328680710885032069534154149740723929002724059217272909874897795346877858755434556225413297638146509209377148262042786468512750091270027941927495247026032373196977471406264686169329742796862424268525901579840666025406931699121989339052399035978812004772227140833094175013102205426943187774113373040888901357314431969754057610772387998459960008703564858153534792109866064332}
30452 1117705976371832633814598982655646225952946669272434088675154748717243645998894925974619: {91347,1156378,1399642,1853851,2069308,2857882,3586138,3707458,4213507,4624904,5040922,5203017,5479051,5839987,5934045,6020347,6251482,6329648,6380851,6614338,6921067,7029561,7120854,7171804,7280851,7702042,7758885,7943578,8179051,8276144,8305762,8368525,8537827,9310662,9433507,9512002,10042230,10437833,10458632,10505947,10711712,10837018,10957378,11045001,11558938,11765961,11919682,12050676,12260188,12985948,13175707,13721242,13844285,13884907,14440858,14911190,15878362,16237378,16400153,16613142,16954978,17062051,17893428,17940451,18466627,18697845,18746458,18865762,19104322,19191944,19777550,19938778,19944368,20296162,20564851,20891482,21248482,21301700,21590937,21605338,21672604,22437414,22793818,22826227,23428790,23733060,24038851,24160845,24384667,25247947,25284418,25315264,25562040,25771568,26109427,26349658,27266176,27649858,28004122,28114548,28479672,28757295,28993014,29419738,29707987,30126682,30317788,30431000,30674448,30804104,30900451,31240507,31303642,31410427,32039631,33469700,33701384,33822957,34004578,34121818,34234875,34473442,34508754,34654617,35059162,35130451,35761498,35971051,36517200,36580162,36813922,37312267,37490428,37631578,37914057,38482051,38565082,38951680,39371885,39381058,40163640,40265425,41081850,41126938,41473867,41745844,42172738,42841216,43207804,43217242,43565122,43820640,44154885,44278051,44606587,44966037,45184095,46408387,46689562,46710632,46742016,46771804,46876845,47098544,47136441,47246262,47876107,47959138,48195388,48196368,48249561,48318510,48650818,48688987,48851347,49298220,49500067,49687258,49985851,50001968,50328604,51067162,51116827,51278107,51539744,51871042,52100578,52215322,52405051,52549461,52584768,52985862,53207851,53528467,53688667,53917832,54220914,54277978,55703037,56245550,56252214,57020122,57590242,57982212,58729282,59157864,59565045,59636920,59639362,60094018,60657561,60666187,61116058,61262045,61683298,61796698,62280885,62363458,62367868,62476762,63480451,63536048,63547581,63835162,63947227,64353261,64739482,65529922,65807851,65868442,66432944,66552597,66580051,66643077,66854504,66888427,67091535,67494660,67558882,68004604,68121562,68613645,69133378,69990473,71019093,71149881,71175451,71478054,71564304,71825218,71994304,72571961,72944098,73187888,73502938,73514454,73901587,74021384,74507842,74654707,74737062,74842522,75211317,75255907,75406027,75453032,75622882,75957082,76611025,76676493,76847578,76958818,77292442,77583117,77587685,78523804,78553245,78555565,79845442,79870875,80233517,80509842,80993592,81173864,81646051,81959133,82336374,82610842,82831642,82942018,83162722,83274057,83790128,84030824,84884661,84942845,85195600,85256218,86245858,86459827,86674845,86749051,88111642,89535298,90625387,90737818,91052851,91117791,91174618,91320597,91392922,91763851,91933230,92453168,92701402,93002777,93028162,93105222,94263894,94266678,94308547,94333762,94534677,94786797,95084375,95420002,95712187,95845050,95992051,96969307,97121541,97387051,97587682,97695898,98062112,98885218,99879907,99986390,...,12071615672733834938929968202559264619451662957171506088321987720097027427418410797234439914761296365177367233690785208001865569413325960056134400804864004617359463764473498416476731396403598885224723706941599997287720731004474111214183217950325531159679251924123156076664757625743709005568229658914078701558996396971521341699409403071587253112622727020595003720940114580865031371030256450870047647687137465085967332708895853752091885876381371502594151253443227074907102115366473562408491486985335493807995236711082645793825998789057522216018186592064669395457844746000488738462145759301408063050547205312468090633508361781197472264019583828051766040259679304189022100260752608000212308108857316153546930265586080236441669135350047436911975025510413242461419051619852489516323639390884107735076026704996038607090845791888988360734584881227651362577327622624905110456057898377801751708022508737256024573582956253318586965925828050796065204907033651464471831355326943364314174085634653633744758919598058529852766929413926862403052163596862324255089770476141185638512304463214305727612114100582056886082279772719370110943504442323260695095824094162842754889214630044845293491425002667145498053628965993431453551534342281824529841307385449193374315812354360099985740298182112411100790419038379365538465580004089228535588314979676770001323996185003059719730226377281303784292606709584062899080516488475590616381505571897701757982577252750711843343853869934308232369987982785818199495212082768484518515020298930111797011102450802076677312221238860981704354243094970960473433465814439277538506161051372007158652644917656928124971991197620312657065492316645243628610129867128806433244997196747863973932509836381125567347869136364489832535601213173176417754544873784305287130021664804275863473683748163934068469676728598756358137043812302763513996845301907230245735580537834864284316330051150820988221049738443797011952976754589051404676432469562141635583254327935243539985720636630498434803610317780802918875222590971197011257807019905974629145592861002290704362265395200913568200135749270651881095719116490681159620575991608228869154917928255359106985450534540593357109869929309189406465173969925574314408888845966906814241613108743605078826762952107407533499294044417177570925059419133100029027096923710446698575912130289540869936065730836377067723118593531533109875747858175679260369807501013003278406060466462912750381309728267738440012571034690651113567283482079317553655170425846570230025755342689423856428837824942844943629655416792066728048286396095720030847439859623421156912602714551216724230234523474901394076343402094846402871348874350864316247103830472998791728152716498426214112361116648851017783836211442452959284836520874677482286000704531507143786664751718239661441109376080243717522211371009094415819506746311506738296669907087244401502017632048190463483694874373379101122145856815536853444699958713481089043218479850106275879336941599454158664682741303663257266504363051744924864101070466178582381923219297291975633816702674874458594486810386903129023623139996793099965529734492682782940020091540555995516446478999901388121543785899869270645118250054545450434130463808876391341251558200528643564172103132461070791036959418271872677376873757769685642483518578009657197286332697374008784297843174579043478971191515114401333929008782907331597059822808140830972248244509999075884235058330311273129211160920810312323063994516897357396503137166505734415633452129009434852300007101160785807168943500351193728301185445903227845416697977958189848387827113256151023558341557267124332452031593689787823219639621915462873311651643167918282792710206335424493003416815999655641083954072765396557297995212306242451110825087927152957262831229533473355430972963259149170713681905444230264339447304918608131407341900978761222087172619022057789362298096413325427326599456805970822969205665181098008504201459799766191376218717634493166678631993309462733162731484187407919202911324791630932358286453827757926149677111918497741805371375614599766110547759269616795515778890577669140520639409018630261538457292100274881650769468594644915019052070229804554341701695690801756430938110258004669843888145988363877460235417806702724790185859448845498662039972139926324325818080135115143465712142883191198637004433900734182587680731901461072118717120177905933772642171432671599441820708238005775623379161268615795259115944413982081821688543481477158115780053848412356027207090642262425620925493021066327548104301231224611085893504086088825909364812346693020316788133151834338119946457219763814065722393064179702769125136905041912891242870539048559795466207109397029253994614195293636402788852369760999038110397548682984008578598553968218007158340711249641262519653308140414781661170059561333352035971647954631086416158581997689940013055347287230302188164799096498}
30453 1121153674545650138454244578665899186114693203595381275349128418197038326225135580744347: {121796,1734567,2099463,2586635,3103962,3682151,4046791,4286823,5142163,5379207,5538442,5561187,5781130,6937356,7241626,7561383,7912060,8702122,8964755,9151303,9372748,9377223,9494472,9921507,10345180,10681281,10757706,11553063,11915367,12414216,12458643,13073290,13389640,13965993,14268003,14623843,14726668,15063345,15325235,15687948,16067568,16232435,16255527,16436067,16792951,17338407,17451322,17716787,17879523,17907367,18076014,18390282,19478922,20581863,21661287,22150856,22366785,22550122,23817543,23857904,23989930,24280811,24356067,24748042,24829447,24919713,24930460,25432467,26627125,26840142,26953591,27090755,28119687,28298643,28656483,28656827,28787916,28818283,29205751,29488711,29666325,29908167,29916552,30444243,31337223,31644080,31872723,31952550,32044762,32214460,32408007,32508906,33504106,33656121,33708851,34082720,34190727,35143185,35599590,37137802,37486064,37897235,37926627,37972896,38038750,38343060,38505130,38657191,38657352,39524487,40871803,40899264,41211226,41474787,41837125,42006183,42126730,42171822,42719508,43489521,43751722,44129607,44431642,45097276,45190023,45476682,45646500,45915011,46011672,46206156,46863035,46955463,47178103,47349178,48689600,48769402,49650227,49655626,50046763,50204550,50552076,51006867,51182727,51710163,51725482,51763131,52182305,52588743,53551520,53642247,54009755,54643018,54775800,54870243,55220883,55594042,56057482,56148583,56235642,56447367,57601907,57847623,57932423,58128826,58250483,58388290,58407658,58427520,58464755,58497691,58873180,59071587,59954716,60244235,60245460,61622775,61690407,62108027,62322688,62502460,62618766,62848588,62910755,62995016,63259107,64039402,64261824,64332748,64424680,64768711,64811706,64825863,65347683,65730960,66021403,67397290,69176026,70034343,70065948,70113024,70157706,70647816,70869393,71027131,71199427,71938707,72293082,72294552,72477765,72976227,73030787,73130791,73316362,73526971,73947330,74270716,74530887,74546150,74624903,75002952,75492906,76520002,76600743,77309616,77806563,77959835,78150867,78233467,78322983,78877152,79403687,79420060,79478793,80876748,80896522,81331371,81416967,83041180,83568130,84152231,84368325,84378321,84694522,84730108,85005755,85209802,85244723,85530183,85804348,85933691,86385363,86973318,88093923,88322651,88736796,88816067,88857436,89455380,89459043,89938147,89992880,90141027,90969403,91484860,91674087,92524947,92526730,92695047,93227651,93545187,93551802,93715143,93749287,94316290,94692124,94866508,94876307,95304072,95419072,95453243,95752743,95934811,96808567,97109223,97174903,98019272,98154755,98294883,98548282,98802663,99649416,99785962,...,18107423509100752408394952303838896929177494435757259132482981580145541141127616195851659872141944547766050850536177812002798354119988940084201601207296006926039195646710247624715097094605398327837085560412399995931581096506711166821274826925488296739518877886184734114997136438615563508352344488371118052338494595457282012549114104607380879668934090530892505581410171871297547056545384676305071471530706197628950999063343780628137828814572057253891226880164840612360653173049710343612737230478003240711992855066623968690738998183586283324027279888097004093186767119000733107693218638952112094575820807968702135950262542671796208396029375742077649060389518956283533150391128912000318462163285974230320395398379120354662503703025071155367962538265619863692128577429778734274485459086326161602614040057494057910636268687833482541101877321841477043865991433937357665684086847566702627562033763105884036860374434379977880448888742076194097807360550477196707747032990415046471261128451980450617138379397087794779150394120890293604578245395293486382634655714211778457768456694821458591418171150873085329123419659079055166415256663484891042643736141244264132333821945067267940237137504000718247080443448990147180327301513422736794761961078173790061473718531540149978610447273168616651185628557569048307698370006133842803382472469515155001985994277504589579595339565921955676438910064376094348620774732713385924572258357846552636973865879126067765015780804901462348554981974178727299242818124152726777772530448395167695516653676203115015968331858291472556531364642456440710150198721658916307759241577058010737978967376485392187457986796430468985598238474967865442915194800693209649867495795121795960898764754571688351021803704546734748803401819759764626631817310676457930695032497206413795210525622245901102704515092898134537205565718454145270995267952860845368603370806752296426474495076726231482331574607665695517929465131883577107014648704343212453374881491902865309978580954945747652205415476671204378312833886456795516886710529858961943718389291503436056543398092801370352300203623905977821643578674736021739430863987412343303732376892383038660478175801810890035664804893963784109697760954888361471613333268950360221362419663115407618240144428161111300248941066625766356387589128699650043540645385565670047863868195434311304904098596254565601584677890297299664813621787263518890554711251519504917609090699694369125571964592401607660018856552035976670350925223118976330482755638769855345038633014034135784643256737414267415444483125188100092072429594143580046271159789435131735368904071826825086345351785212352091114515103142269604307023311526296474370655745709498187592229074747639321168541674973276526675754317163679438927254781312016223429001056797260715679997127577359492161664064120365576283317056513641623729260119467260107445004860630866602253026448072285695225542311560068651683218785223305280167049938070221633564827719775159413819005412399181237997024111955494885899756544577617387296151605699267873572884828945937963450725054012311687891730215580354693535434709995189649948294601739024174410030137310833993274669718499852082182315678849803905967677375081818175651195695713314587011877337300792965346258154698691606186555439127407809016065310636654528463725277867014485795929499046061013176446764761868565218456787272671602000893513174360997395589734212211246458372366764998613826352587495466909693816741381215468484595991775346036094754705749758601623450178193514152278450010651741178710753415250526790592451778168854841768125046966937284772581740669884226535337512335900686498678047390534681734829459432873194309967477464751877424189065309503136739505125223999483461625931109148094835946992818459363676666237631890729435894246844300210033146459444888723756070522858166345396509170957377912197111012851468141833130758928533086684043447144619988140989899185208956234453808497771647012756302189699649287064328076451739750017947989964194099744097226281111878804366987187446398537429680741636889224515667877746612708057063421899649165821638904425193273668335866503710780959113527945392307685938150412322476154202891967372528578105344706831512552543536202634646407165387007004765832218982545816190353126710054087185278789173268247993059958209889486488727120202672715198568214324786797955506650851101273881521097852191608178075680266858900658963257149007399162731062357008663435068741902923692888673916620973122732532815222215737173670080772618534040810635963393638431388239531599491322156451846836916628840256129133238864047218520039530475182199727751507179919685829645721098583589596269554153687705357562869336864305808572839693199310664095543880991921292940454604183278554641498557165596323024476012867897830952327010737511066874461893779479962210622172491755089342000028053957471931946629624237872996534910019583020930845453282247198644747}
30454 1124611946006418314279356409694060545466542742829782190715564857324822203493789689450735: {152245,182694,699913,2312756,2799284,3247129,3428533,3707702,3972313,4138616,4655943,5715764,7172276,7414916,7580953,7760629,8307663,8427014,8671695,8837173,9249808,9553429,9890075,10081844,10406034,10862439,10958102,11517193,11679974,11715935,11868090,12040694,12502964,12659296,12761702,12931475,13053183,13228676,13294873,13842134,14059122,14241708,14343608,14561702,15404084,15517770,15887156,16136559,16358102,16552288,16611524,16737050,17075654,17531929,18408335,18409429,18621324,18867014,19024004,19381999,19609935,20084460,20856853,20875666,20917264,21011894,21423424,21674036,21914756,22090002,23117876,23531922,23839364,24101352,24328693,24520376,25971896,26053813,26176983,26225929,26351414,27114021,27442484,27585423,27688570,27769814,28114453,28627993,28881716,29218383,29822380,30335113,31163075,31756724,32035033,32474756,32800306,33226284,33727753,33825183,33909956,34124102,35749513,35786856,35880902,35984895,36933254,37122063,37395690,37492916,37731524,37928053,38095129,38208644,38383888,39555100,39877556,39888736,40260213,40268075,40592324,41129702,41421529,41587093,41782964,42496964,42603400,43181874,43210676,43238773,43345208,44874828,44883253,45587636,45652454,45702793,46857580,47173429,47466120,47928825,48067143,48077702,48321690,48763359,48769334,50256159,50495894,50568836,50630528,51124080,51543136,51872473,52194313,52218854,52699316,52837129,53399385,54439129,54532352,54598933,55120639,55299716,55706703,56008244,56229096,56371595,56959344,57058125,57514590,57757695,57986028,58839476,59415974,60253364,60635576,60862000,61348896,61608208,61800902,61816839,62481014,62607284,62820854,63190095,63257733,63277273,64055413,64079262,65627583,66224629,66647463,66939400,67402768,67645914,67919113,68009156,68215023,68243636,68469750,68946884,69017508,69309234,70118324,70260902,71023767,71522996,71942102,73034400,73154103,73160324,73591475,73627844,74007433,74483439,74609929,74624534,74943395,74980856,75211273,75263156,75306825,75828114,76260853,76964102,77130164,77456053,77588223,77903360,78128075,78349429,78498073,78560735,78743770,78762116,79980553,80327280,80415935,80530850,80571529,81964527,82163700,82253876,82923913,82947734,83391063,83491688,84086223,84345476,84353463,85682432,85766863,86415608,86434484,87130244,87193239,87582435,87611487,87641280,88309770,88556102,88580629,89213174,89932074,90368190,90727129,92816774,92838395,93379124,93421264,93422773,93484032,93543608,93563929,93753690,93928149,94197088,94272882,94492524,94971529,95111893,95752214,95918276,96059103,96390776,96392736,96499122,96511573,96637020,97217559,97301636,97377974,97702694,98320393,98459029,98596440,99000134,99275075,99374516,99971702,...,24143231345467669877859936405118529238903325914343012176643975440194054854836821594468879829522592730354734467381570416003731138826651920112268801609728009234718927528946996832953462792807197770449447413883199994575441462008948222428366435900651062319358503848246312153329515251487418011136459317828157403117992793943042683398818806143174506225245454041190007441880229161730062742060512901740095295374274930171934665417791707504183771752762743005188302506886454149814204230732947124816982973970670987615990473422165291587651997578115044432036373184129338790915689492000977476924291518602816126101094410624936181267016723562394944528039167656103532080519358608378044200521505216000424616217714632307093860531172160472883338270700094873823950051020826484922838103239704979032647278781768215470152053409992077214181691583777976721469169762455302725154655245249810220912115796755603503416045017474512049147165912506637173931851656101592130409814067302928943662710653886728628348171269307267489517839196117059705533858827853724806104327193724648510179540952282371277024608926428611455224228201164113772164559545438740221887008884646521390191648188325685509778429260089690586982850005334290996107257931986862907103068684563649059682614770898386748631624708720199971480596364224822201580838076758731076931160008178457071176629959353540002647992370006119439460452754562607568585213419168125798161032976951181232763011143795403515965154505501423686687707739868616464739975965571636398990424165536969037030040597860223594022204901604153354624442477721963408708486189941920946866931628878555077012322102744014317305289835313856249943982395240625314130984633290487257220259734257612866489994393495727947865019672762251134695738272728979665071202426346352835509089747568610574260043329608551726947367496327868136939353457197512716274087624605527027993690603814460491471161075669728568632660102301641976442099476887594023905953509178102809352864939124283271166508655870487079971441273260996869607220635561605837750445181942394022515614039811949258291185722004581408724530790401827136400271498541303762191438232981362319241151983216457738309835856510718213970901069081186714219739858618378812930347939851148628817777691933813628483226217487210157653525904214815066998588088834355141850118838266200058054193847420893397151824260579081739872131461672754135446237187063066219751495716351358520739615002026006556812120932925825500762619456535476880025142069381302227134566964158635107310340851693140460051510685378847712857675649885689887259310833584133456096572792191440061694879719246842313825205429102433448460469046949802788152686804189692805742697748701728632494207660945997583456305432996852428224722233297702035567672422884905918569673041749354964572001409063014287573329503436479322882218752160487435044422742018188831639013492623013476593339814174488803004035264096380926967389748746758202244291713631073706889399917426962178086436959700212551758673883198908317329365482607326514533008726103489849728202140932357164763846438594583951267633405349748917188973620773806258047246279993586199931059468985365565880040183081111991032892957999802776243087571799738541290236500109090900868260927617752782682503116401057287128344206264922141582073918836543745354753747515539371284967037156019314394572665394748017568595686349158086957942383030228802667858017565814663194119645616281661944496489019998151768470116660622546258422321841620624646127989033794714793006274333011468831266904258018869704600014202321571614337887000702387456602370891806455690833395955916379696775654226512302047116683114534248664904063187379575646439279243830925746623303286335836565585420412670848986006833631999311282167908145530793114595990424612484902221650175854305914525662459066946710861945926518298341427363810888460528678894609837216262814683801957522444174345238044115578724596192826650854653198913611941645938411330362196017008402919599532382752437435268986333357263986618925466325462968374815838405822649583261864716572907655515852299354223836995483610742751229199532221095518539233591031557781155338281041278818037260523076914584200549763301538937189289830038104140459609108683403391381603512861876220516009339687776291976727754920470835613405449580371718897690997324079944279852648651636160270230286931424285766382397274008867801468365175361463802922144237434240355811867545284342865343198883641416476011551246758322537231590518231888827964163643377086962954316231560107696824712054414181284524851241850986042132655096208602462449222171787008172177651818729624693386040633576266303668676239892914439527628131444786128359405538250273810083825782485741078097119590932414218794058507989228390587272805577704739521998076220795097365968017157197107936436014316681422499282525039306616280829563322340119122666704071943295909262172832317163995379880026110694574460604376329598192996}
30455 1128080822992122382425674821792115898530241168065776548901063490079173662821822083336312: {243592,274041,2890945,3469134,3499105,3621289,4198926,4351633,5173270,5561553,5689849,6207924,7144705,7364302,8093582,8573646,8965345,9268645,10284326,10758414,11076884,11122374,11562260,12550657,12602305,12640521,13711753,13874712,14483252,15122766,15609051,15628705,15824120,16437153,16535845,17404244,17519961,17717953,17802135,17929510,18061041,18302606,18745496,18754446,18988944,19142553,19255105,19843014,19858945,20278801,20690360,20763201,20764405,20938021,21088683,21362562,21455329,21515412,21842553,22725409,23106126,23276655,23780005,23830734,24282409,24537153,24828432,24917286,25105575,25613481,26146580,26779280,27092545,27137377,27393445,27931986,28300521,28536006,28658713,28897345,29247686,29453336,29799205,30054721,30126690,30650470,31313499,31375896,31517841,32135136,32380249,32464870,32511054,32607397,32872134,33135003,33585902,34303105,34376353,34676814,34902644,35297883,35433574,35759046,35814734,36102145,36152028,36652969,36780564,37277975,37927057,38957844,39527121,39695905,39837733,40593445,41163726,41532855,41654721,42387445,43322574,43681033,44301712,44733570,45100244,45672649,46866145,47164405,47635086,47715808,47760805,47979860,48561622,48712134,49200459,49443875,49496084,49658894,49839426,49846945,49860920,50032309,50316673,50740405,50864934,51186153,51316777,51957937,52228705,53056129,53121205,53254250,53680284,53821353,53907182,54013345,54181510,55399881,56093535,56239374,56597286,56984545,57312966,57313654,57575832,57605713,57636566,58411502,58517209,58571975,58677541,58977422,59332650,59816334,59833104,60888486,61694553,62674446,63211045,63288160,63561553,63745446,63905100,64089524,64428920,64772811,64816014,65017812,65103481,65608249,65874145,67008212,67312242,67417702,67493689,68074981,68165440,68381454,68478681,69124645,69524977,70010305,70286370,71199180,72116553,72482535,73055227,73154001,73549345,74275604,74972128,75316705,75613657,75743841,75794470,75853254,75945792,76019761,76077500,76686120,77010260,77314382,77314704,77430793,78067393,78259105,78328281,78799081,79048974,79721569,80068153,81743606,81798528,81850657,82422452,82949574,83363209,83674250,84012366,84253460,84341929,84343644,85011445,85304545,85338649,85439016,85939369,86183605,86271885,86979042,87004849,87313633,87503444,87647905,88075057,88259214,88863284,89123961,89403745,90194552,90380046,90574801,90810613,90953364,91293000,91450405,91830022,92023344,92034805,92078137,92412312,92631073,92701353,93721521,93726070,93840721,93891193,93910926,94078945,94079857,94231281,94356206,94698356,94941313,95543809,96043537,96118893,96412705,96846721,97379200,97538804,98092453,98452645,99300454,99311252,99335701,...,36214847018201504816789904607677793858354988871514518264965963160291082282255232391703319744283889095532101701072355624005596708239977880168403202414592013852078391293420495249430194189210796655674171120824799991863162193013422333642549653850976593479037755772369468229994272877231127016704688976742236104676989190914564025098228209214761759337868181061785011162820343742595094113090769352610142943061412395257901998126687561256275657629144114507782453760329681224721306346099420687225474460956006481423985710133247937381477996367172566648054559776194008186373534238001466215386437277904224189151641615937404271900525085343592416792058751484155298120779037912567066300782257824000636924326571948460640790796758240709325007406050142310735925076531239727384257154859557468548970918172652323205228080114988115821272537375666965082203754643682954087731982867874715331368173695133405255124067526211768073720748868759955760897777484152388195614721100954393415494065980830092942522256903960901234276758794175589558300788241780587209156490790586972765269311428423556915536913389642917182836342301746170658246839318158110332830513326969782085287472282488528264667643890134535880474275008001436494160886897980294360654603026845473589523922156347580122947437063080299957220894546337233302371257115138096615396740012267685606764944939030310003971988555009179159190679131843911352877820128752188697241549465426771849144516715693105273947731758252135530031561609802924697109963948357454598485636248305453555545060896790335391033307352406230031936663716582945113062729284912881420300397443317832615518483154116021475957934752970784374915973592860937971196476949935730885830389601386419299734991590243591921797529509143376702043607409093469497606803639519529253263634621352915861390064994412827590421051244491802205409030185796269074411131436908290541990535905721690737206741613504592852948990153452462964663149215331391035858930263767154214029297408686424906749762983805730619957161909891495304410830953342408756625667772913591033773421059717923887436778583006872113086796185602740704600407247811955643287157349472043478861727974824686607464753784766077320956351603621780071329609787927568219395521909776722943226666537900720442724839326230815236480288856322222600497882133251532712775178257399300087081290771131340095727736390868622609808197192509131203169355780594599329627243574527037781109422503039009835218181399388738251143929184803215320037713104071953340701850446237952660965511277539710690077266028068271569286513474828534830888966250376200184144859188287160092542319578870263470737808143653650172690703570424704182229030206284539208614046623052592948741311491418996375184458149495278642337083349946553053351508634327358877854509562624032446858002113594521431359994255154718984323328128240731152566634113027283247458520238934520214890009721261733204506052896144571390451084623120137303366437570446610560334099876140443267129655439550318827638010824798362475994048223910989771799513089155234774592303211398535747145769657891875926901450108024623375783460431160709387070869419990379299896589203478048348820060274621667986549339436999704164364631357699607811935354750163636351302391391426629174023754674601585930692516309397383212373110878254815618032130621273309056927450555734028971591858998092122026352893529523737130436913574545343204001787026348721994791179468424422492916744733529997227652705174990933819387633482762430936969191983550692072189509411499517203246900356387028304556900021303482357421506830501053581184903556337709683536250093933874569545163481339768453070675024671801372997356094781069363469658918865746388619934954929503754848378130619006273479010250447998966923251862218296189671893985636918727353332475263781458871788493688600420066292918889777447512141045716332690793018341914755824394222025702936283666261517857066173368086894289239976281979798370417912468907616995543294025512604379399298574128656152903479500035895979928388199488194452562223757608733974374892797074859361483273778449031335755493225416114126843799298331643277808850386547336671733007421561918227055890784615371876300824644952308405783934745057156210689413663025105087072405269292814330774014009531664437965091632380706253420108174370557578346536495986119916419778972977454240405345430397136428649573595911013301702202547763042195704383216356151360533717801317926514298014798325462124714017326870137483805847385777347833241946245465065630444431474347340161545237068081621271926787276862776479063198982644312903693673833257680512258266477728094437040079060950364399455503014359839371659291442197167179192539108307375410715125738673728611617145679386398621328191087761983842585880909208366557109282997114331192646048952025735795661904654021475022133748923787558959924421244344983510178684000056107914943863893259248475745993069820039166041861690906564494397289494}
30456 1131560337838471490272060876137767022883250368944573471585445079538892074903621958271237: {213143,304490,365388,882383,1399826,1611359,2036063,2702663,3307823,4153703,4515743,4625512,4937759,5203701,5598568,5961023,6298389,6494258,6857066,7041959,7415404,7759905,7944626,8120303,8277232,9311886,9554063,10150103,10447823,10626359,10804823,11042663,11046453,11431528,11933423,12140373,12289223,12860469,13295759,13846105,14004863,14344552,14452825,14829832,15161906,15243023,15426489,15521258,16137621,16402309,16615326,16683561,16854028,17240183,17343390,17674346,17708759,18104065,18469103,18499616,19106858,19461359,19780150,20163688,20812068,21724878,21755305,21786959,21916204,21960863,22684149,22944959,23034386,23349503,23359948,23431870,23736180,24081388,24387959,24503183,25005928,25318592,25366343,25523404,25771669,25862950,26106366,26112959,26227703,26457352,26589746,26894265,27144503,27430583,27453909,27684268,28118244,28131669,28483416,28687216,28971959,29123404,29764521,29825759,29996303,30393959,30808168,31035540,31414703,31774312,32043843,32093759,32273118,32545823,32683225,32716204,32771663,32940959,33104576,33110183,33223048,33474100,33786359,34151308,34659189,34742303,35063858,35471759,35746101,36479543,36816670,36818858,37242648,37261583,37375929,37428959,37596263,37734028,37986359,38048008,38431703,38654183,38763998,39219870,40168920,41313959,41479583,41589959,41713706,41751332,41755463,41834528,41897979,41976023,42023788,42804009,42846848,43348072,43628305,43829512,43871529,44064959,44180004,45190035,45975705,46087823,46235752,46523759,46687103,47063844,47678728,47882759,47991263,48202704,48657386,48697305,48766581,48804023,49040752,49308201,49776959,50316359,50378853,50478023,51231503,51943792,52015221,52107626,52353966,52451858,52702828,53150361,53638569,53642783,53722101,54228042,54442943,54884968,55170846,55377140,55539628,56228906,56355983,56375305,56726759,57255986,57361463,57625583,57763432,58311359,58436766,58574759,58732703,59644760,59974825,60517703,60670226,61615583,61745589,61870105,62326150,63125903,63513448,64059959,64070066,64577759,64949512,64983861,65600612,65610959,65971823,66229343,66452568,67100355,67308743,67455506,67650366,67819912,68248204,68282303,68844623,69201959,69966359,70881263,71452629,71499026,71573712,71761804,71969790,72652823,72842433,73068201,73257959,73610423,73861943,73866508,74012759,74244126,74364383,74488341,74514959,74665463,74759139,74765759,74791380,74985832,75116543,75266759,75416903,75463048,75856106,76190258,76297401,76417288,76615463,76767776,77511359,78920233,79110200,79755112,79777472,79881375,80111905,80331263,80520426,80536150,80577383,80860773,81184648,81272265,81608903,82259404,82343543,82832303,82843058,83174186,83563943,83565928,83760265,84359061,84536663,84895929,84993928,85206800,85264103,85969449,85970481,86363748,86421352,86454849,86477546,86690416,87291359,87617253,87627863,88466133,88635023,88998975,89724501,89749656,89766506,89924759,90305783,90733823,91175272,91304908,91332729,91405586,91730063,92297759,92844505,93476759,93617903,93715160,94011669,94346858,94932240,95025383,95096875,95618169,95857650,96134286,96155404,96262825,96518759,96643380,96844343,97076663,97215959,97224021,97526718,97538668,97679759,98373959,98928023,99434903,99618983,99756959,99894863,...,54322270527302257225184856911516690787532483307271777397448944740436623423382848587554979616425833643298152551608533436008395062359966820252604803621888020778117586940130742874145291283816194983511256681237199987794743289520133500463824480776464890218556633658554202344991409315846690525057033465113354157015483786371846037647342313822142639006802271592677516744230515613892641169636154028915214414592118592886852997190031341884413486443716171761673680640494521837081959519149131030838211691434009722135978565199871906072216994550758849972081839664291012279560301357002199323079655916856336283727462423906106407850787628015388625188088127226232947181168556868850599451173386736000955386489857922690961186195137361063987511109075213466103887614796859591076385732289336202823456377258978484807842120172482173731908806063500447623305631965524431131597974301812072997052260542700107882686101289317652110581123303139933641346666226228582293422081651431590123241098971245139413783385355941351851415138191263384337451182362670880813734736185880459147903967142635335373305370084464375774254513452619255987370258977237165499245769990454673127931208423732792397001465835201803820711412512002154741241330346970441540981904540268210384285883234521370184421155594620449935831341819505849953556885672707144923095110018401528410147417408545465005957982832513768738786018697765867029316730193128283045862324198140157773716775073539657910921597637378203295047342414704387045664945922536181897728454372458180333317591345185503086549961028609345047904995574874417669594093927369322130450596164976748923277724731174032213936902129456176562373960389291406956794715424903596328745584402079628949602487385365387882696294263715065053065411113640204246410205459279293879895451932029373792085097491619241385631576866737703308113545278694403611616697155362435812985803858582536105810112420256889279423485230178694446994723822997086553788395395650731321043946113029637360124644475708595929935742864837242956616246430013613134938501659370386550660131589576885831155167874510308169630194278404111056900610871717933464930736024208065218292591962237029911197130677149115981434527405432670106994414681891352329093282864665084414839999806851080664087258989346222854720433284483333900746823199877299069162767386098950130621936156697010143591604586302933914712295788763696804754033670891898994440865361790556671664133754558514752827272099083107376715893777204822980056569656107930011052775669356928991448266916309566035115899042102407353929770212242802246333449375564300276217288782430740138813479368305395206106712215480475259036055355637056273343545309426808812921069934578889423111967237128494562776687224242917963505625024919829580027262951491038316781764343936048670287003170391782147039991382732078476484992192361096728849951169540924871187780358401780322335014581892599806759079344216857085676626934680205955049656355669915840501149814210664900694483159325478241457016237197543713991072335866484657699269633732852161888454817097803620718654486837813890352175162036935063675190646741064080606304129985568949844883805217072523230090411932501979824009155499556246546947036549411717903032125245454526953587087139943761035632011902378896038774464096074818559666317382223427048195931909963585391175833601043457387788497138183039529340294285605695655370361818014806002680539523082992186769202636633739375117100294995841479057762486400729081450224143646405453787975326038108284264117249275804870350534580542456835350031955223536132260245751580371777355334506564525304375140900811854317745222009652679606012537007702059496034142171604045204488378298619582929902432394255632272567195928509410218515375671998450384877793327444284507840978455378091029998712895672188307682740532900630099439378334666171268211568574499036189527512872133736591333038554404425499392276785599260052130341433859964422969697555626868703361425493314941038268906569098947861192984229355219250053843969892582299232291678843335636413100961562339195612289042224910667673547003633239838124171190265698947497464916713275579821005007599511132342877340583836176923057814451236967428462608675902117585734316034120494537657630608607903939221496161021014297496656947637448571059380130162261555836367519804743979179874629668459466181360608018145595704642974360393866519952553303821644563293556574824534227040800576701976889771447022197488193187071025990305206225708771078666021749862919368197598445666647211521010242317855602122431907890180915294164718594798473966469355540510749886520768387399716592141655560118591425546599183254521539759057488937163295750768788808662461063116072688608010592917425718519079597931992286631642975763878821363812549835663924495671496788969073428038603693492856981032212533200623385681338439886631866517475265268026000084161872415795839888872713618989604730058749062792536359846741595934241}
30457 1135050522979193226281845463600786648042963162653317957887202717670303824660182754702017: {456735,487184,548082,2099739,4047323,4898747,5142839,5781890,6359243,6724367,6938268,6998210,7242578,8397852,8703266,9269255,9741387,10002587,10285599,10346540,11123106,11379698,11916939,12415848,12551483,12976103,13967829,14289410,14380619,14728604,16187164,16204799,17147292,17643227,17930690,18537290,19123487,20568652,20939399,21067535,21516828,21677339,21880187,22153768,22244748,22742859,23124520,23150183,23281887,24922989,25101314,25204610,25281042,26015085,26388923,26511519,26957147,27139163,27395255,27423506,27749424,27802523,28660287,28966504,29070167,29199935,29670225,30056699,30101735,30245532,31218102,31257410,31648240,31904255,32587317,32609543,32874306,33071690,33292007,34551579,34605335,34808488,34856183,35039922,35147805,35435906,35604270,35859020,36122082,36404255,36605212,37490992,37508892,37685447,37929563,37977888,38267567,38285106,38350823,38510210,38794425,39159549,39686028,39717890,39884619,40456283,40557602,40626599,40895255,40965083,41380720,41526402,41528810,41718887,41842625,41876042,42177366,42355643,42689135,42725124,42910658,43030824,43685106,45450818,46212252,46339403,46553310,46795547,47167535,47560010,47661468,48024347,48409677,48564818,49074306,49656864,49834572,50211150,50543003,51226962,51623039,52189165,52293160,52529735,52595787,53558560,53719223,53976767,54185090,54274754,54786890,55225005,55228287,55541243,55574267,55863972,55918463,56601042,56830823,57072012,57317426,57794690,58145997,58495372,58829805,58906672,59342423,59465159,59549687,59598410,60109442,60253380,61300940,61371707,62570559,62626998,62751792,63035682,64227119,64270272,64760498,64929740,65022108,65214794,65445767,65612603,65744268,65878535,66030167,66270006,66865127,67171804,68079479,68606210,68752706,69221425,69353628,69424535,69785723,69805288,70595766,70867148,71036567,71518092,71629468,72204290,72304056,72986079,73120187,73305938,73561128,74137019,74319803,74369687,74555950,75118199,75434123,75618683,75854114,77915688,78161439,78530949,78677787,79054242,79391810,79675466,79778363,81186890,81342063,81967247,82000765,82327452,82756269,83065710,83309442,84343359,84774890,85310255,85883979,86645148,87362066,87429707,87655149,88495463,88526747,88603424,88686743,89467140,89702255,90200488,91005339,91345298,91509119,91924943,92223803,92333135,93106943,93489225,93732290,94328810,94625999,95240399,95270172,95431616,95521610,95838359,95959720,96049883,96105099,96774503,96821339,97123244,97424268,98014427,98400918,98887750,98992168,99317788,99678852,99693890,99721840,...,72429694036403009633579809215355587716709977743029036529931926320582164564510464783406639488567778191064203402144711248011193416479955760336806404829184027704156782586840990498860388378421593311348342241649599983726324386026844667285099307701953186958075511544738936459988545754462254033409377953484472209353978381829128050196456418429523518675736362123570022325640687485190188226181538705220285886122824790515803996253375122512551315258288229015564907520659362449442612692198841374450948921912012962847971420266495874762955992734345133296109119552388016372747068476002932430772874555808448378303283231874808543801050170687184833584117502968310596241558075825134132601564515648001273848653143896921281581593516481418650014812100284621471850153062479454768514309719114937097941836345304646410456160229976231642545074751333930164407509287365908175463965735749430662736347390266810510248135052423536147441497737519911521795554968304776391229442201908786830988131961660185885044513807921802468553517588351179116601576483561174418312981581173945530538622856847113831073826779285834365672684603492341316493678636316220665661026653939564170574944564977056529335287780269071760948550016002872988321773795960588721309206053690947179047844312695160245894874126160599914441789092674466604742514230276193230793480024535371213529889878060620007943977110018358318381358263687822705755640257504377394483098930853543698289033431386210547895463516504271060063123219605849394219927896714909196971272496610907111090121793580670782066614704812460063873327433165890226125458569825762840600794886635665231036966308232042951915869505941568749831947185721875942392953899871461771660779202772838599469983180487183843595059018286753404087214818186938995213607279039058506527269242705831722780129988825655180842102488983604410818060371592538148822262873816581083981071811443381474413483227009185705897980306904925929326298430662782071717860527534308428058594817372849813499525967611461239914323819782990608821661906684817513251335545827182067546842119435847774873557166013744226173592371205481409200814495623911286574314698944086957723455949649373214929507569532154641912703207243560142659219575855136438791043819553445886453333075801440885449678652461630472960577712644445200995764266503065425550356514798600174162581542262680191455472781737245219616394385018262406338711561189198659254487149054075562218845006078019670436362798777476502287858369606430640075426208143906681403700892475905321931022555079421380154532056136543138573026949657069661777932500752400368289718376574320185084639157740526941475616287307300345381407140849408364458060412569078417228093246105185897482622982837992750368916298990557284674166699893106106703017268654717755709019125248064893716004227189042862719988510309437968646656256481462305133268226054566494917040477869040429780019442523466409012105792289142780902169246240274606732875140893221120668199752280886534259310879100637655276021649596724951988096447821979543599026178310469549184606422797071494291539315783751853802900216049246751566920862321418774141738839980758599793178406956096697640120549243335973098678873999408328729262715399215623870709500327272702604782782853258348047509349203171861385032618794766424746221756509631236064261242546618113854901111468057943183717996184244052705787059047474260873827149090686408003574052697443989582358936848844985833489467059994455305410349981867638775266965524861873938383967101384144379018822999034406493800712774056609113800042606964714843013661002107162369807112675419367072500187867749139090326962679536906141350049343602745994712189562138726939317837731492777239869909859007509696756261238012546958020500895997933846503724436592379343787971273837454706664950527562917743576987377200840132585837779554895024282091432665381586036683829511648788444051405872567332523035714132346736173788578479952563959596740835824937815233991086588051025208758798597148257312305806959000071791959856776398976388905124447515217467948749785594149718722966547556898062671510986450832228253687598596663286555617700773094673343466014843123836454111781569230743752601649289904616811567869490114312421378827326050210174144810538585628661548028019063328875930183264761412506840216348741115156693072991972239832839557945954908480810690860794272857299147191822026603404405095526084391408766432712302721067435602635853028596029596650924249428034653740274967611694771554695666483892490930131260888862948694680323090474136163242543853574553725552958126397965288625807387347666515361024516532955456188874080158121900728798911006028719678743318582884394334358385078216614750821430251477347457223234291358772797242656382175523967685171761818416733114218565994228662385292097904051471591323809308042950044267497847575117919848842488689967020357368000112215829887727786518496951491986139640078332083723381813128988794578988}
30458 1138551410946329017283629556936497830573248738962287725963014399160462981126440664869748: {426286,608980,730776,822123,943237,1764766,2036197,2799652,3222718,4072126,4214341,4576357,5405326,6021541,6615646,8180677,8307406,8360137,8672835,9031486,9251024,9875518,10407402,10497315,10508041,10863867,11043397,11197136,11922046,12596778,12933175,12988516,13054899,13714132,14083918,14830808,14949541,15519810,15889252,16185097,16240606,16554464,16684659,17069547,17241337,18119557,18410755,18623772,19108126,19384547,20233955,20300206,20895646,21252718,21434115,21609646,22085326,22092906,22863056,23351077,23866846,24280746,24562441,24578446,25345691,25425541,25710815,25720938,25942537,26591518,26896035,27692210,27805935,28009726,28689104,28905650,29659664,30055177,30323812,30457427,30486046,30852978,31042516,31416841,32275242,32804618,33230652,33367122,33708056,34295077,34480366,34686780,35348692,35417518,36146377,36208130,36482041,36938206,36999232,37319941,37651971,37654597,37806915,37921563,38213716,38489977,38656837,38922718,39560300,40155337,40327376,40653541,41135259,41624136,43449756,43510610,43573918,43832408,43921726,44287237,44780041,44823775,45368298,45599941,45756515,45889918,46068772,46699006,46719896,46744777,46827153,46863740,46886115,47472360,48048841,48162776,48775918,48861541,49006366,49311459,49607535,50011856,50158117,50637184,50732686,51046808,51288841,51543338,51611257,51725900,52212732,52225918,52416037,52455406,52559883,52914704,53153859,53179492,53219017,53379397,53406405,53699941,53788530,54183123,54289006,54861166,54907818,55368536,56236488,56263338,56966832,57206917,57374432,57427659,57682441,57765315,57943918,58246808,59529042,59576835,59651518,59992606,60787918,60836403,61079627,61149817,61616336,61619941,62071080,62289603,62293215,62814063,62829406,63182341,63266049,63548624,64087686,64187518,64365987,64546236,65091646,65366450,65432408,65527659,65543326,65881918,65976517,66209152,66220366,66446096,66594277,66748537,66948200,67056841,67572718,68176227,68302616,69318378,69484606,69829965,70127716,70886341,70943518,71340015,71342857,71492202,72847227,72959086,73119215,73611459,73633340,73637716,73917541,74485296,74523166,74751858,74857918,75121957,75192526,75316725,75422341,75468056,75972718,76096016,76620997,76626175,76840443,76863406,77308366,77527996,78439740,78925427,80337097,80337840,81162175,81277635,81412131,81663877,82180335,82398457,82627918,82959166,83179918,83427412,83502664,83510926,83570041,83669056,83795958,83862217,83952046,83964755,84047576,84901563,85318777,85608018,85693696,85976139,86618147,86692035,86696144,86768137,86912677,87256610,87634297,87659024,87743058,88129918,88360008,88583935,89397615,89536835,90164163,90360037,90380070,91784197,91951410,92175646,92471504,93047518,93374206,93940497,94127688,94329541,94553523,94610917,95357456,95765518,95982526,96405408,97140747,97314772,97394610,97533162,97547977,97608046,97822191,98081504,98616402,99405009,99553918,99626437,...,108644541054604514450369713823033381575064966614543554794897889480873246846765697175109959232851667286596305103217066872016790124719933640505209607243776041556235173880261485748290582567632389967022513362474399975589486579040267000927648961552929780437113267317108404689982818631693381050114066930226708314030967572743692075294684627644285278013604543185355033488461031227785282339272308057830428829184237185773705994380062683768826972887432343523347361280989043674163919038298262061676423382868019444271957130399743812144433989101517699944163679328582024559120602714004398646159311833712672567454924847812212815701575256030777250376176254452465894362337113737701198902346773472001910772979715845381922372390274722127975022218150426932207775229593719182152771464578672405646912754517956969615684240344964347463817612127000895246611263931048862263195948603624145994104521085400215765372202578635304221162246606279867282693332452457164586844163302863180246482197942490278827566770711882703702830276382526768674902364725341761627469472371760918295807934285270670746610740168928751548509026905238511974740517954474330998491539980909346255862416847465584794002931670403607641422825024004309482482660693940883081963809080536420768571766469042740368842311189240899871662683639011699907113771345414289846190220036803056820294834817090930011915965665027537477572037395531734058633460386256566091724648396280315547433550147079315821843195274756406590094684829408774091329891845072363795456908744916360666635182690371006173099922057218690095809991149748835339188187854738644260901192329953497846555449462348064427873804258912353124747920778582813913589430849807192657491168804159257899204974770730775765392588527430130106130822227280408492820410918558587759790903864058747584170194983238482771263153733475406616227090557388807223233394310724871625971607717165072211620224840513778558846970460357388893989447645994173107576790791301462642087892226059274720249288951417191859871485729674485913232492860027226269877003318740773101320263179153771662310335749020616339260388556808222113801221743435866929861472048416130436585183924474059822394261354298231962869054810865340213988829363782704658186565729330168829679999613702161328174517978692445709440866568966667801493646399754598138325534772197900261243872313394020287183209172605867829424591577527393609508067341783797988881730723581113343328267509117029505654544198166214753431787554409645960113139312215860022105551338713857982896533832619132070231798084204814707859540424485604492666898751128600552434577564861480277626958736610790412213424430960950518072110711274112546687090618853617625842139869157778846223934474256989125553374448485835927011250049839659160054525902982076633563528687872097340574006340783564294079982765464156952969984384722193457699902339081849742375560716803560644670029163785199613518158688433714171353253869360411910099312711339831681002299628421329801388966318650956482914032474395087427982144671732969315398539267465704323776909634195607241437308973675627780704350324073870127350381293482128161212608259971137899689767610434145046460180823865003959648018310999112493093894073098823435806064250490909053907174174279887522071264023804757792077548928192149637119332634764446854096391863819927170782351667202086914775576994276366079058680588571211391310740723636029612005361079046165984373538405273267478750234200589991682958115524972801458162900448287292810907575950652076216568528234498551609740701069161084913670700063910447072264520491503160743554710669013129050608750281801623708635490444019305359212025074015404118992068284343208090408976756597239165859804864788511264545134391857018820437030751343996900769755586654888569015681956910756182059997425791344376615365481065801260198878756669332342536423137148998072379055025744267473182666077108808850998784553571198520104260682867719928845939395111253737406722850986629882076537813138197895722385968458710438500107687939785164598464583357686671272826201923124678391224578084449821335347094007266479676248342380531397894994929833426551159642010015199022264685754681167672353846115628902473934856925217351804235171468632068240989075315261217215807878442992322042028594993313895274897142118760260324523111672735039609487958359749259336918932362721216036291191409285948720787733039905106607643289126587113149649068454081601153403953779542894044394976386374142051980610412451417542157332043499725838736395196891333294423042020484635711204244863815780361830588329437189596947932938711081021499773041536774799433184283311120237182851093198366509043079518114977874326591501537577617324922126232145377216021185834851437038159195863984573263285951527757642727625099671327848991342993577938146856077207386985713962064425066401246771362676879773263733034950530536052000168323744831591679777745427237979209460117498125585072719693483191868482}
30459 1142063034370530410820183169911577998689041789107504628345333595083758378337603998091772: {639429,761225,913470,974368,1096164,2647149,3499565,4199478,4834077,5690597,6108189,7515469,8094646,8107989,9797494,9923469,10285678,11563780,12461109,12718486,12976957,13448734,13547229,13876536,13996420,14485156,14813277,15611103,16235645,16795704,16995277,17142665,17406532,17883069,18538510,18895167,19482774,19722461,19861565,20005174,20571198,20693080,21125877,21373309,22246212,22759396,23279715,23833878,24360909,24831696,25102966,25952206,27380489,27935658,28578820,28662189,28761238,29457208,29494549,30450309,31186909,31343469,31879077,32374328,32409598,32414469,32850509,33127989,33139359,33715517,34294584,34858477,35286454,35711357,35800269,35861380,36132521,36421119,36867669,37074580,37904765,38246974,38353357,38581407,38803145,39887277,40879909,41137304,41538315,41878798,42014589,42119029,42135070,42142429,43033656,43354678,43358475,43760374,44185865,44307536,44489496,44665957,45485718,45729069,46249040,46279467,46300366,46563774,47767145,48412863,48447469,49206927,49450375,49845978,50050683,50056669,50202628,50409220,50562084,50965957,51720549,52030170,52095497,52777846,53023038,53126277,53914294,54278326,54312195,54764749,54790510,54847012,55407309,55498848,55605046,57253357,57320574,57423997,57585965,57933008,58140334,58384077,58399870,58579675,59340450,59599661,59764789,60113398,60203470,60491064,62120309,62436204,62514820,63296480,63808510,64657375,65174634,65219086,65265915,65360877,65748612,65882589,66034549,66143380,66474365,66584014,68052447,68834877,69103158,69210670,69616976,69712366,70048509,70079844,70295610,70871812,71208540,71718040,72244164,72808510,73045229,73064831,73145269,73163877,73210424,73509549,73541629,74981984,75017784,75370894,75859126,75904777,75955776,76099029,76535134,76570212,76701646,76732169,77020420,77315007,77588850,78310121,78319098,78338877,78683109,78809477,79372056,79435780,79769238,80682795,80912566,81115204,81253198,81433509,81790510,81930166,82291749,82361727,82761440,83052804,83057620,83373917,83437774,83685250,83752084,84354732,84395007,84711286,85378270,85450248,85821316,86061648,86915877,87370212,87616477,87659645,88340117,89021129,89293563,89477277,89988909,90901636,91181877,92041675,92047145,92229949,92424504,92678806,93106620,93591094,94092269,94244109,94335070,94895069,95120020,95322936,96048694,96131529,96281277,96819354,96909995,97129636,97194349,97637469,98049675,98148612,98314989,98822877,99313728,99330549,99669144,...,162966811581906771675554570734550072362597449921815332192346834221309870270148545762664938849277500929894457654825600308025185187079900460757814410865664062334352760820392228622435873851448584950533770043711599963384229868560400501391473442329394670655669900975662607034974227947540071575171100395340062471046451359115538112942026941466427917020406814778032550232691546841677923508908462086745643243776355778660558991570094025653240459331148515285021041921483565511245878557447393092514635074302029166407935695599615718216650983652276549916245518992873036838680904071006597969238967750569008851182387271718319223552362884046165875564264381678698841543505670606551798353520160208002866159469573768072883558585412083191962533327225640398311662844390578773229157196868008608470369131776935454423526360517446521195726418190501342869916895896573293394793922905436218991156781628100323648058303867952956331743369909419800924039998678685746880266244954294770369723296913735418241350156067824055554245414573790153012353547088012642441204208557641377443711901427906006119916110253393127322763540357857767962110776931711496497737309971364019383793625271198377191004397505605411462134237536006464223723991040911324622945713620804631152857649703564110553263466783861349807494025458517549860670657018121434769285330055204585230442252225636395017873948497541306216358056093297601087950190579384849137586972594420473321150325220618973732764792912134609885142027244113161136994837767608545693185363117374540999952774035556509259649883085828035143714986724623253008782281782107966391351788494930246769833174193522096641810706388368529687121881167874220870384146274710788986236753206238886848807462156096163648088882791145195159196233340920612739230616377837881639686355796088121376255292474857724156894730600213109924340635836083210834850091466087307438957411575747608317430337260770667838270455690536083340984171468991259661365186186952193963131838339088912080373933427125787789807228594511728869848739290040839404815504978111159651980394768730657493465503623530924508890582835212333170701832615153800394792208072624195654877775886711089733591392031447347944303582216298010320983244045674056987279848593995253244519999420553241992261776968038668564161299853450001702240469599631897207488302158296850391865808470091030430774813758908801744136887366291090414262101012675696983322596085371670014992401263675544258481816297249322130147681331614468940169708968323790033158327008070786974344800748928698105347697126307222061789310636728406739000348126692900828651866347292220416440438104916185618320136646441425777108166066911168820030635928280426438763209803736668269335901711385483688330061672728753890516875074759488740081788854473114950345293031808146010861009511175346441119974148196235429454976577083290186549853508622774613563341075205340967005043745677799420277238032650571257029880804040617865148969067009747521503449442631994702083449477976434724371048711592631141973217007599453973097808901198556485665364451293410862155963460513441671056525486110805191025571940223192241818912389956706849534651415651217569690271235797505939472027466498668739640841109648235153709096375736363580860761261419831283106896035707136688116323392288224455678998952146670281144587795729890756173527500803130372163365491414549118588020882856817086966111085454044418008041618569248976560307607909901218125351300884987524437173287459202187244350672430939216361363925978114324852792351747827414611051603741627370506050095865670608396780737254741115332066003519693575913125422702435562953235666028958038818037611023106178488102426514812135613465134895858748789707297182766896817701587785528230655546127015995351154633379982332853523522935366134273089996138687016564923048221598701890298318135003998513804634705723497108568582538616401209773999115663213276498176830356797780156391024301579893268909092666880606110084276479944823114806719707296843583578952688065657750161531909677746897696875036530006909239302884687017586836867126674732003020641010899719514372513570797096842492394750139826739463015022798533397028632021751508530769173443353710902285387826027706352757202948102361483612972891825823711817664488483063042892489970842912345713178140390486784667509102559414231937539623889005378398544081824054436787113928923081181599559857659911464933689880669724473602681122401730105930669314341066592464579561213077970915618677126313235998065249588758104592795336999941634563030726953566806367295723670542745882494155784395421899408066621532249659562305162199149776424966680355774276639797549763564619277172466811489887252306366425987383189348218065824031778752277155557238793795976859894928927291636464091437649506991773487014490366907220284115811080478570943096637599601870157044015319659895599552425795804078000252485617247387519666618140856968814190176247188377609079540224787802723}
30460 1145585425981356245201875399857489779892348830994897597384640591242680587051276464065684: {334939,852572,882499,1217960,1370205,1461552,1644246,1886474,2157619,3429211,3529532,4072394,4154251,5058931,5599304,5781379,6299217,6445436,7762171,7941811,8144252,8428682,9152714,10449211,10810652,11697619,12043082,12053659,12141969,12942499,13231292,13474939,14454725,14696241,15428517,16361354,16614812,16720274,17345670,17495525,17535451,17711131,18062972,18106445,18502048,19077729,19113979,19751036,20173101,20814804,20861059,20994630,21016082,21383779,21727734,21758165,22079731,22086794,22394272,23641411,23844092,24506491,25193556,25775057,25866350,25977032,26109798,26231251,27428264,27434299,27807765,28167836,28327537,28449245,28804891,29224161,29661616,29899082,30007761,30341299,30852139,30856797,31039620,31192339,31778504,32211211,32370194,32481212,33108928,33369318,34072411,34139094,34482674,35588731,35723525,35750817,35924899,35995141,36239114,36764059,36821510,37247544,37654449,38102971,38216252,38769094,38928309,40467910,40498337,40600412,41430091,41595691,41761219,41791292,41903487,42092059,42505436,42868230,42917899,43141857,43219292,43412539,43741939,44170652,44185812,44826725,45056659,45726112,46203259,46343225,46702154,47733692,47997931,48561492,48614397,49124882,49135459,49156892,50691382,50851082,51421630,51441876,51883339,51885074,52929681,53183036,53792070,53970619,54290659,54610411,55384420,55611870,56019452,56840611,57370461,57378208,57633691,57811300,59319328,59844739,60110354,60630979,60647624,60914854,60944971,60972092,61705956,62085032,62753285,62818197,62833682,63011525,63202605,64059121,64550484,64690411,65000659,65032017,65609236,65640561,66084259,66461304,66734244,67416112,68228577,68394379,68558765,68590154,68854459,68960732,69313891,69373560,69450549,69845661,70697384,70835036,70992931,72292754,72416260,72663259,72964082,73268491,73872571,73876412,73998464,74626051,74639882,74768967,74776531,75227539,75303942,75309194,75613830,75843126,76427432,76979954,77313674,77845436,78045255,78143525,78515131,79120600,79166769,79405699,79534557,80145859,80310674,80654752,80871441,81307082,81417489,82185765,82270518,82648939,82679225,82942051,83248272,83407569,85980861,86899512,87021220,87147836,87210501,87599805,87664816,87736819,87843452,88574474,88589765,89010675,89560082,89647550,90170097,90305205,90736596,91199882,91513030,91779836,92137544,93160939,93398012,93439792,93489554,93584731,93654306,93727480,93772230,94944720,95133091,95273419,95693971,95712765,96097682,96253699,96275525,96325552,97551836,97723082,97761951,97828629,98012732,98064859,98481091,98622918,99035059,99215070,99294725,99876021,...,217289082109209028900739427646066763150129933229087109589795778961746493693531394350219918465703334573192610206434133744033580249439867281010419214487552083112470347760522971496581165135264779934045026724948799951178973158080534001855297923105859560874226534634216809379965637263386762100228133860453416628061935145487384150589369255288570556027209086370710066976922062455570564678544616115660857658368474371547411988760125367537653945774864687046694722561978087348327838076596524123352846765736038888543914260799487624288867978203035399888327358657164049118241205428008797292318623667425345134909849695624425631403150512061554500752352508904931788724674227475402397804693546944003821545959431690763844744780549444255950044436300853864415550459187438364305542929157344811293825509035913939231368480689928694927635224254001790493222527862097724526391897207248291988209042170800431530744405157270608442324493212559734565386664904914329173688326605726360492964395884980557655133541423765407405660552765053537349804729450683523254938944743521836591615868570541341493221480337857503097018053810477023949481035908948661996983079961818692511724833694931169588005863340807215282845650048008618964965321387881766163927618161072841537143532938085480737684622378481799743325367278023399814227542690828579692380440073606113640589669634181860023831931330055074955144074791063468117266920772513132183449296792560631094867100294158631643686390549512813180189369658817548182659783690144727590913817489832721333270365380742012346199844114437380191619982299497670678376375709477288521802384659906995693110898924696128855747608517824706249495841557165627827178861699614385314982337608318515798409949541461551530785177054860260212261644454560816985640821837117175519581807728117495168340389966476965542526307466950813232454181114777614446466788621449743251943215434330144423240449681027557117693940920714777787978895291988346215153581582602925284175784452118549440498577902834383719742971459348971826464985720054452539754006637481546202640526358307543324620671498041232678520777113616444227602443486871733859722944096832260873170367848948119644788522708596463925738109621730680427977658727565409316373131458660337659359999227404322656349035957384891418881733137933335602987292799509196276651069544395800522487744626788040574366418345211735658849183155054787219016134683567595977763461447162226686656535018234059011309088396332429506863575108819291920226278624431720044211102677427715965793067665238264140463596168409629415719080848971208985333797502257201104869155129722960555253917473221580824426848861921901036144221422548225093374181237707235251684279738315557692447868948513978251106748896971671854022500099679318320109051805964153267127057375744194681148012681567128588159965530928313905939968769444386915399804678163699484751121433607121289340058327570399227036317376867428342706507738720823820198625422679663362004599256842659602777932637301912965828064948790174855964289343465938630797078534931408647553819268391214482874617947351255561408700648147740254700762586964256322425216519942275799379535220868290092920361647730007919296036621998224986187788146197646871612128500981818107814348348559775044142528047609515584155097856384299274238665269528893708192783727639854341564703334404173829551153988552732158117361177142422782621481447272059224010722158092331968747076810546534957500468401179983365916231049945602916325800896574585621815151901304152433137056468997103219481402138322169827341400127820894144529040983006321487109421338026258101217500563603247417270980888038610718424050148030808237984136568686416180817953513194478331719609729577022529090268783714037640874061502687993801539511173309777138031363913821512364119994851582688753230730962131602520397757513338664685072846274297996144758110051488534946365332154217617701997569107142397040208521365735439857691878790222507474813445701973259764153075626276395791444771936917420877000215375879570329196929166715373342545652403846249356782449156168899642670694188014532959352496684761062795789989859666853102319284020030398044529371509362335344707692231257804947869713850434703608470342937264136481978150630522434431615756885984644084057189986627790549794284237520520649046223345470079218975916719498518673837864725442432072582382818571897441575466079810213215286578253174226299298136908163202306807907559085788088789952772748284103961220824902835084314664086999451677472790393782666588846084040969271422408489727631560723661176658874379193895865877422162042999546083073549598866368566622240474365702186396733018086159036229955748653183003075155234649844252464290754432042371669702874076318391727969146526571903055515285455250199342655697982685987155876293712154414773971427924128850132802493542725353759546527466069901061072104000336647489663183359555490854475958418920234996251170145439386966383736964}
30461 1149118618607570709908875658139309400214492549013943374913929049439979693759156489309142: {1065715,1278858,1522450,1826940,1948736,2192328,2466369,2829711,4411915,4899391,5294298,6108591,6360079,6725251,6999130,7698031,8056795,8398956,8793403,9668154,10180315,11381194,12216378,12643023,13513315,13729071,15030938,15718351,16189292,16215978,16539115,18064623,19594988,19723759,19846938,20391019,20571356,20768515,21190891,22578715,22729903,23127560,23308363,23999731,24542031,24688795,24922218,25080411,25436972,25568923,25953914,26018505,26897468,27094458,27382291,27725071,27753072,27806191,27992840,28970312,29626554,29805115,30601723,31222206,31491945,31524123,32471290,32591601,32852671,33130191,33591408,33990554,34285330,34383151,34813064,35209795,35766138,36134899,36378859,37077020,37790334,37895083,38624419,38799525,38965548,39164697,39444922,39723130,39845611,40010348,40601515,41142396,41386160,42204331,42251754,42361231,42746618,43689679,44492424,44848623,45518792,45681691,46559430,47667756,47770315,48555291,48721818,49589311,49663392,50042203,50053977,50205932,50750515,51208641,51724011,51904412,52239115,52316011,53066671,53127091,53131795,54024115,54324403,54358671,54760978,55213315,55232265,55871316,57157640,57324378,57522476,58153641,58224379,58914416,58989098,59603599,59667115,60265579,60701865,60900618,61446115,61860211,62373818,62686938,63574159,63758154,64302345,64748656,64819196,64828938,65558251,65701018,65987491,66255978,66278718,66478795,66874003,67080703,67431034,67507051,67690771,68589168,69230525,69716954,70024315,70053231,70435963,70572908,70585003,71422714,71600538,71722760,72264125,72265042,72842238,73687323,73735338,74149160,75466831,75809530,76037073,76215115,76276623,76493948,76706714,77132445,77162814,77606290,77762131,77827611,78082831,79424719,79774554,80620351,80688105,81759818,82011545,82274608,83076630,83417805,83710819,83757596,84029178,84238058,84270140,84284858,85759483,86067312,86200915,86709356,86716950,87330991,87520748,88371730,88543795,88615072,88978992,89027011,89305579,89331914,90165531,90520325,90828571,90971436,91314991,91372281,91458138,92345515,92498080,92558934,92600732,92649391,93064111,93127548,93177211,93252379,94250523,95534290,95562703,95851003,96825726,96894938,97306795,98111851,98231491,98274499,98413854,98532811,98900750,99355363,99494203,99691956,...,325933623163813543351109141469100144725194899843630664384693668442619740540297091525329877698555001859788915309651200616050370374159800921515628821731328124668705521640784457244871747702897169901067540087423199926768459737120801002782946884658789341311339801951325214069948455895080143150342200790680124942092902718231076225884053882932855834040813629556065100465383093683355847017816924173491286487552711557321117983140188051306480918662297030570042083842967131022491757114894786185029270148604058332815871391199231436433301967304553099832491037985746073677361808142013195938477935501138017702364774543436638447104725768092331751128528763357397683087011341213103596707040320416005732318939147536145767117170824166383925066654451280796623325688781157546458314393736017216940738263553870908847052721034893042391452836381002685739833791793146586789587845810872437982313563256200647296116607735905912663486739818839601848079997357371493760532489908589540739446593827470836482700312135648111108490829147580306024707094176025284882408417115282754887423802855812012239832220506786254645527080715715535924221553863422992995474619942728038767587250542396754382008795011210822924268475072012928447447982081822649245891427241609262305715299407128221106526933567722699614988050917035099721341314036242869538570660110409170460884504451272790035747896995082612432716112186595202175900381158769698275173945188840946642300650441237947465529585824269219770284054488226322273989675535217091386370726234749081999905548071113018519299766171656070287429973449246506017564563564215932782703576989860493539666348387044193283621412776737059374243762335748441740768292549421577972473506412477773697614924312192327296177765582290390318392466681841225478461232755675763279372711592176242752510584949715448313789461200426219848681271672166421669700182932174614877914823151495216634860674521541335676540911381072166681968342937982519322730372373904387926263676678177824160747866854251575579614457189023457739697478580081678809631009956222319303960789537461314986931007247061849017781165670424666341403665230307600789584416145248391309755551773422179467182784062894695888607164432596020641966488091348113974559697187990506489039998841106483984523553936077337128322599706900003404480939199263794414976604316593700783731616940182060861549627517817603488273774732582180828524202025351393966645192170743340029984802527351088516963632594498644260295362663228937880339417936647580066316654016141573948689601497857396210695394252614444123578621273456813478000696253385801657303732694584440832880876209832371236640273292882851554216332133822337640061271856560852877526419607473336538671803422770967376660123345457507781033750149518977480163577708946229900690586063616292021722019022350692882239948296392470858909953154166580373099707017245549227126682150410681934010087491355598840554476065301142514059761608081235730297938134019495043006898885263989404166898955952869448742097423185262283946434015198907946195617802397112971330728902586821724311926921026883342113050972221610382051143880446384483637824779913413699069302831302435139380542471595011878944054932997337479281682219296470307418192751472727161721522522839662566213792071414273376232646784576448911357997904293340562289175591459781512347055001606260744326730982829098237176041765713634173932222170908088836016083237138497953120615215819802436250702601769975048874346574918404374488701344861878432722727851956228649705584703495654829222103207483254741012100191731341216793561474509482230664132007039387151826250845404871125906471332057916077636075222046212356976204853029624271226930269791717497579414594365533793635403175571056461311092254031990702309266759964665707047045870732268546179992277374033129846096443197403780596636270007997027609269411446994217137165077232802419547998231326426552996353660713595560312782048603159786537818185333761212220168552959889646229613439414593687167157905376131315500323063819355493795393750073060013818478605769374035173673734253349464006041282021799439028745027141594193684984789500279653478926030045597066794057264043503017061538346886707421804570775652055412705514405896204722967225945783651647423635328976966126085784979941685824691426356280780973569335018205118828463875079247778010756797088163648108873574227857846162363199119715319822929867379761339448947205362244803460211861338628682133184929159122426155941831237354252626471996130499177516209185590673999883269126061453907133612734591447341085491764988311568790843798816133243064499319124610324398299552849933360711548553279595099527129238554344933622979774504612732851974766378696436131648063557504554311114477587591953719789857854583272928182875299013983546974028980733814440568231622160957141886193275199203740314088030639319791199104851591608156000504971234494775039333236281713937628380352494376755218159080449575605446}
30462 1152662645177442298994196908915481336162154367949869166672846756366710531600193183541078: {395837,669878,943361,1705144,1764998,1793777,1918287,2157761,2218397,2283675,2435920,2740410,2923104,3288492,3772948,4214897,4315238,4516637,5781761,5841917,6858422,7059064,7223297,7582961,7941447,8144788,8308502,8480861,8839517,10117862,10498695,10509437,10628477,10806977,11198608,11223197,11562758,12598434,12890872,13002557,13475837,14361857,14502231,15069377,15524342,15883622,16187261,16288504,16857364,17071791,17887937,18305428,18324567,19173617,19640177,20047997,20236615,20862461,20898422,21094877,21621304,21965297,22546407,23395238,24086164,24107318,24283938,24323967,24335261,24493735,24565757,25349023,25543937,25714195,25884998,26060861,26462584,26949878,28909450,29392482,29718077,29770407,30002417,30400157,30461431,30570497,30857034,30910961,31194461,31251137,31796215,32722708,32947697,33116957,33229624,33440548,33621835,33736961,34691340,34917917,34991050,35070902,35422262,35983361,36125944,36212890,37004096,37383327,37436657,37603997,38155458,38227958,38930871,39502072,39606461,39828943,40346202,40641687,40659137,41488157,41629608,41722118,41764097,41989260,42032164,42150077,42767558,42975857,43455468,43516330,44159462,44173588,44439831,44788544,44895677,45715457,46346275,46696817,46833309,47282822,47688184,47861671,48055517,48706935,49012982,49138877,49787357,50012935,50387112,50488577,50985831,51427995,51550114,51618461,51732700,51954064,52219596,52423361,52462502,53493761,53649207,53974397,54614237,54856528,54868598,55571837,55615530,56335672,56655074,56685501,56897537,56898490,57609782,57690557,58323677,58448322,58745117,59167383,59323232,59584695,59798164,59848961,59901437,60015522,60682598,60687617,60949277,61628657,61704278,61713594,62079240,62384678,62757415,63295217,63377631,63502961,63557008,64119927,64280861,64422422,64740388,64880515,64962424,65056961,65779697,66088961,66217856,66738636,66860861,67169117,67630961,68144822,68278188,68965348,69839145,70439261,70998017,71177462,71447050,71501634,71849798,71903095,71910257,71990282,72478228,73082727,73528118,73643020,73928177,74028737,74229761,74495088,74531057,74681597,74932337,75232961,75283037,75308898,75433217,75683357,76205942,76432504,77179997,77538188,77856618,78718961,79411457,80935820,80996674,81023995,81200824,81234077,82141467,82860182,83191382,83522438,83582584,83806974,84184118,85010872,85736460,85835798,85986567,86283714,86346737,86438584,86780861,86825078,87021761,87310577,87454877,87483878,87743261,87854599,88216135,88341304,88371624,88462961,88483647,88941761,89653450,90087617,90113318,91038977,91323761,91350927,91452224,91750397,92406518,92686450,93404308,93560727,93638717,94030407,94624961,95327261,95467384,95617435,95637231,95747777,95982271,95995862,96027761,96260861,96307457,97005437,97122984,97228794,97237697,97243407,98249764,98270918,98313784,98551527,99383967,99418077,99779357,99917297,...,488900434745720315026663712203650217087792349765445996577040502663929610810445637287994816547832502789683372964476800924075555561239701382273443232596992187003058282461176685867307621554345754851601310131134799890152689605681201504174420326988184011967009702926987821104922683842620214725513301186020187413139354077346614338826080824399283751061220444334097650698074640525033770526725386260236929731329067335981676974710282076959721377993445545855063125764450696533737635672342179277543905222906087499223807086798847154649952950956829649748736556978619110516042712213019793907716903251707026553547161815154957670657088652138497626692793145036096524630517011819655395060560480624008598478408721304218650675756236249575887599981676921194934988533171736319687471590604025825411107395330806363270579081552339563587179254571504028609750687689719880184381768716308656973470344884300970944174911603858868995230109728259402772119996036057240640798734862884311109169890741206254724050468203472166662736243721370459037060641264037927323612625672924132331135704283718018359748330760179381968290621073573303886332330795134489493211929914092058151380875813595131573013192516816234386402712608019392671171973122733973868837140862413893458572949110692331659790400351584049422482076375552649582011971054364304307855990165613755691326756676909185053621845492623918649074168279892803263850571738154547412760917783261419963450975661856921198294378736403829655426081732339483410984513302825637079556089352123622999858322106669527778949649257484105431144960173869759026346845346323899174055365484790740309499522580566289925432119165105589061365643503622662611152438824132366958710259618716660546422386468288490944266648373435585477588700022761838217691849133513644919059067388264364128765877424573172470684191800639329773021907508249632504550274398261922316872234727242824952291011782312003514811367071608250022952514406973778984095558560856581889395515017266736241121800281377363369421685783535186609546217870122518214446514934333478955941184306191972480396510870592773526671748505636999512105497845461401184376624217872586964633327660133269200774176094342043832910746648894030962949732137022170961839545781985759733559998261659725976785330904116005692483899560350005106721408798895691622464906474890551175597425410273091292324441276726405232410662098873271242786303038027090949967788256115010044977203791026632775445448891747966390443043994843406820509126904971370099474981024212360923034402246786094316043091378921666185367931910185220217001044380078702485955599041876661249321314314748556854960409939324277331324498200733506460091907784841279316289629411210004808007705134156451064990185018186261671550625224278466220245366563419344851035879095424438032583028533526039323359922444588706288364929731249870559649560525868323840690023225616022901015131237033398260831714097951713771089642412121853595446907201029242564510348327895984106250348433929304173113146134777893425919651022798361919293426703595669456996093353880232586467890381540325013169576458332415573076715820669576725456737169870120548603954246953652709070813707392517818416082399496006218922523328944705461127289127209090742582283784259493849320688107121410064348970176864673367036996856440010843433763387189672268520582502409391116490096474243647355764062648570451260898333256362133254024124855707746929680922823729703654376053902654962573311519862377606561733052017292817649084091777934342974558377055243482243833154811224882111518150287597011825190342211764223345996198010559080727739376268107306688859706998086874116454112833069318535464307279544436406840395404687576246369121891548300690453104763356584691966638381047986053463900139946998560570568806098402819269988416061049694769144664796105670894954405011995541413904117170491325705747615849203629321997346989639829494530491070393340469173072904739679806727278000641818330252829439834469344420159121890530750736858064196973250484595729033240693090625109590020727717908654061052760510601380024196009061923032699158543117540712391290527477184250419480218389045068395600191085896065254525592307520330061132706856163478083119058271608844307084450838918675477471135452993465449189128677469912528737037139534421171460354002527307678242695812618871667016135195632245472163310361341786769243544798679572979734394801069642009173420808043367205190317792007943023199777393738683639233912746856031378939707994195748766274313778386010999824903689092180860700419101887171011628237647482467353186265698224199864596748978686915486597449329274900041067322829919392649290693857831517400434469661756919099277962149568044654197472095336256831466671716381387930579684786781874909392274312948520975320461043471100721660852347433241435712829289912798805610471132045958979686798657277387412234000757456851742162558999854422570906442570528741565132827238620674363408169}
30463 1156217538719043660147505507635245828572259515209806901649653010485670378210745503518472: {1004817,1492001,2131430,2557716,2647497,3044900,3653880,3897472,4110615,4384656,4716185,4932738,5659422,6176681,6472857,7516457,8823830,9097673,9798782,9827921,10180985,10287633,10588596,11279513,12217182,12462753,12720158,13450502,13998260,14252441,15176793,15396062,16113590,16797912,17344137,17586806,18576233,18897651,18918641,19336308,20360630,20392361,21071705,22224593,22762388,22881785,23154761,23286513,23309897,23683937,23825433,24098477,24432756,25286046,25872953,27026630,27332297,27458142,29075921,30061876,30107705,30603737,31347633,31436702,31610201,32378584,32431956,32765993,33078230,34564313,35092857,36129246,36160977,36425907,37897577,38626961,38827497,39189976,39447518,39693876,40424817,40508537,40634633,40782038,40782881,40903385,41142712,41537030,41602541,41727161,41800685,42381782,42993197,43364175,44088723,45157430,45459806,46255120,46285551,46348577,46616726,47999462,49084062,49293713,49377590,49844436,50063273,50160822,50873944,50986193,51137846,51633257,51907828,52037010,52486575,52540205,52606353,53133393,53794936,53987453,54188916,54319335,54764582,55216985,55450142,55506144,55612382,55929521,55985680,56842121,57233187,57341937,57940624,59003081,59253108,59377337,59610230,60269561,60519303,61203446,61828013,62444412,62583177,62983890,63048246,64151337,64239857,64665875,64942580,65183202,65274495,65458721,65705342,66223817,66239193,66260382,66291161,66878441,67182816,67981108,68570660,68766302,69206393,69626128,70189361,70419590,70440617,70924233,71050721,71222957,71532276,71615441,72269798,72757718,73134761,73519473,74154040,74384513,74747705,75133097,75449057,75580668,75633761,75790166,76131737,77248838,77298641,77325171,77477933,77599050,77931096,78329394,78693753,78889121,78889844,79446260,79691222,80020696,80089361,80925485,81203030,82284792,82302897,82772320,83423295,83533961,84408662,84503508,84722462,84982611,85347735,85493236,86024561,86206685,86414673,86910617,87379358,87672483,88544273,88704281,88984848,89188073,89697246,89969561,90023283,90597785,91023897,91037584,91363382,92053775,92556417,92570391,93070313,93118860,93577017,93865577,93916097,95259233,95335512,95540630,96633633,96922735,97110582,97443636,98034041,99178622,99260093,99326784,99500777,...,651867246327627086702218282938200289450389799687261328769387336885239481080594183050659755397110003719577830619302401232100740748319601843031257643462656249337411043281568914489743495405794339802135080174846399853536919474241602005565893769317578682622679603902650428139896911790160286300684401581360249884185805436462152451768107765865711668081627259112130200930766187366711694035633848346982572975105423114642235966280376102612961837324594061140084167685934262044983514229789572370058540297208116665631742782398462872866603934609106199664982075971492147354723616284026391876955871002276035404729549086873276894209451536184663502257057526714795366174022682426207193414080640832011464637878295072291534234341648332767850133308902561593246651377562315092916628787472034433881476527107741817694105442069786084782905672762005371479667583586293173579175691621744875964627126512401294592233215471811825326973479637679203696159994714742987521064979817179081478893187654941672965400624271296222216981658295160612049414188352050569764816834230565509774847605711624024479664441013572509291054161431431071848443107726845985990949239885456077535174501084793508764017590022421645848536950144025856894895964163645298491782854483218524611430598814256442213053867135445399229976101834070199442682628072485739077141320220818340921769008902545580071495793990165224865432224373190404351800762317539396550347890377681893284601300882475894931059171648538439540568108976452644547979351070434182772741452469498163999811096142226037038599532343312140574859946898493012035129127128431865565407153979720987079332696774088386567242825553474118748487524671496883481536585098843155944947012824955547395229848624384654592355531164580780636784933363682450956922465511351526558745423184352485505021169899430896627578922400852439697362543344332843339400365864349229755829646302990433269721349043082671353081822762144333363936685875965038645460744747808775852527353356355648321495733708503151159228914378046915479394957160163357619262019912444638607921579074922629973862014494123698035562331340849332682807330460615201579168832290496782619511103546844358934365568125789391777214328865192041283932976182696227949119394375981012978079997682212967969047107872154674256645199413800006808961878398527588829953208633187401567463233880364121723099255035635206976547549465164361657048404050702787933290384341486680059969605054702177033927265188997288520590725326457875760678835873295160132633308032283147897379202995714792421390788505228888247157242546913626956001392506771603314607465389168881665761752419664742473280546585765703108432664267644675280122543713121705755052839214946673077343606845541934753320246690915015562067500299037954960327155417892459801381172127232584043444038044701385764479896592784941717819906308333160746199414034491098454253364300821363868020174982711197681108952130602285028119523216162471460595876268038990086013797770527978808333797911905738897484194846370524567892868030397815892391235604794225942661457805173643448623853842053766684226101944443220764102287760892768967275649559826827398138605662604870278761084943190023757888109865994674958563364438592940614836385502945454323443045045679325132427584142828546752465293569152897822715995808586681124578351182919563024694110003212521488653461965658196474352083531427268347864444341816177672032166474276995906241230431639604872501405203539950097748693149836808748977402689723756865445455703912457299411169406991309658444206414966509482024200383462682433587122949018964461328264014078774303652501690809742251812942664115832155272150444092424713952409706059248542453860539583434995158829188731067587270806351142112922622184508063981404618533519929331414094091741464537092359984554748066259692192886394807561193272540015994055218538822893988434274330154465604839095996462652853105992707321427191120625564097206319573075636370667522424440337105919779292459226878829187374334315810752262631000646127638710987590787500146120027636957211538748070347347468506698928012082564043598878057490054283188387369969579000559306957852060091194133588114528087006034123076693773414843609141551304110825411028811792409445934451891567303294847270657953932252171569959883371649382852712561561947138670036410237656927750158495556021513594176327296217747148455715692324726398239430639645859734759522678897894410724489606920423722677257364266369858318244852311883662474708505252943992260998355032418371181347999766538252122907814267225469182894682170983529976623137581687597632266486128998638249220648796599105699866721423097106559190199054258477108689867245959549009225465703949532757392872263296127115009108622228955175183907439579715709166545856365750598027967093948057961467628881136463244321914283772386550398407480628176061278639582398209703183216312001009942468989550078666472563427875256760704988753510436318160899151210892}
30464 1159783332360552342087499124459147759204250844228816849167225848519861178996103938169300: {791674,1125799,1339756,1854583,1886722,2218543,2945599,3197145,3410288,3529996,3587554,3806125,3836574,4315522,4436794,4567350,4577263,4758199,4871840,5480820,5842303,5846208,6383383,6576984,6743743,7283743,7399107,7545896,8361799,8429794,8489133,8541223,8630476,9033274,9974023,11045599,11223943,11563522,11683834,13235745,13716844,14118128,14446594,14698173,15165922,15882894,16289576,16364599,16617004,16961722,17497825,17679034,17947663,18298663,18325773,18824623,19080237,19699783,20175753,20235724,20997390,21018874,21256954,21613954,22397216,22446394,23094093,23125516,24170385,24394543,25196868,25258183,25781744,25947799,26005114,26120023,26380209,26951674,27666799,28331261,28452985,28723714,29004462,29207743,30061303,30138754,30540945,31048684,31253263,31767244,32374522,32577008,32780599,33714728,33795583,34143582,34291229,35481463,35775874,35999873,36610856,36649134,37577345,37662343,37829599,37929069,38347234,38664799,39280354,40095994,40473230,40503661,40539945,41187213,41724922,41796844,41987599,42189754,43242608,43930594,44296423,44514701,44625103,45092814,46100599,46754503,46790476,46917799,47070569,47155053,47733199,48172328,48214636,48567876,48647934,48670522,48709303,48987470,49131514,49617345,50006743,50330383,50698046,50976799,51087874,51428390,51622063,51769996,52121722,52925168,53230183,53390599,53550943,53899756,54193869,55628863,56563793,56583799,57377599,57818900,58327783,58784964,59171277,59436154,59540814,59905663,60004834,60800314,60922862,61140994,61173057,61714068,61821922,62305545,62388922,62502274,63572673,63592430,64285423,64884785,65445416,65835943,65895394,66233914,66459248,66762799,66881096,66917023,67243670,67473922,67736145,68189709,68301799,69068599,69382680,69835834,69925089,69982100,69986383,70018109,70141804,70444303,70844524,71966722,71999193,72251888,72425780,72875599,73626093,73631599,74008192,74066385,74235103,74766654,74873314,75207994,75241233,75288463,75738823,76310916,76455916,76637599,76706769,77235343,77861742,78055515,78278623,79004144,79212922,79657886,80692404,81178225,81283374,81318274,82146873,82976314,83175213,83259216,83295799,83418573,83444236,83528194,83978520,84026599,84064328,84300154,84976385,85535116,85713325,85951714,86787223,86910936,86931799,87032660,87860381,88318924,88347176,88517383,88879662,89415345,89577088,89791354,90832721,91093183,91377943,91430914,91804543,91805169,92692550,92797423,93393634,93666618,94475835,94565644,94572369,94631983,94772599,95376368,95723342,96034903,96111034,96314623,97413870,97430623,97708903,97774803,98025964,98277754,98558013,98612305,99307825,99390573,99574714,99648799,99786823,...,977800869491440630053327424407300434175584699530891993154081005327859221620891274575989633095665005579366745928953601848151111122479402764546886465193984374006116564922353371734615243108691509703202620262269599780305379211362403008348840653976368023934019405853975642209845367685240429451026602372040374826278708154693228677652161648798567502122440888668195301396149281050067541053450772520473859462658134671963353949420564153919442755986891091710126251528901393067475271344684358555087810445812174998447614173597694309299905901913659299497473113957238221032085424426039587815433806503414053107094323630309915341314177304276995253385586290072193049261034023639310790121120961248017196956817442608437301351512472499151775199963353842389869977066343472639374943181208051650822214790661612726541158163104679127174358509143008057219501375379439760368763537432617313946940689768601941888349823207717737990460219456518805544239992072114481281597469725768622218339781482412509448100936406944333325472487442740918074121282528075854647225251345848264662271408567436036719496661520358763936581242147146607772664661590268978986423859828184116302761751627190263146026385033632468772805425216038785342343946245467947737674281724827786917145898221384663319580800703168098844964152751105299164023942108728608615711980331227511382653513353818370107243690985247837298148336559785606527701143476309094825521835566522839926901951323713842396588757472807659310852163464678966821969026605651274159112178704247245999716644213339055557899298514968210862289920347739518052693690692647798348110730969581480618999045161132579850864238330211178122731287007245325222304877648264733917420519237433321092844772936576981888533296746871170955177400045523676435383698267027289838118134776528728257531754849146344941368383601278659546043815016499265009100548796523844633744469454485649904582023564624007029622734143216500045905028813947557968191117121713163778791030034533472482243600562754726738843371567070373219092435740245036428893029868666957911882368612383944960793021741185547053343497011273999024210995690922802368753248435745173929266655320266538401548352188684087665821493297788061925899464274044341923679091563971519467119996523319451953570661808232011384967799120700010213442817597791383244929812949781102351194850820546182584648882553452810464821324197746542485572606076054181899935576512230020089954407582053265550890897783495932780886087989686813641018253809942740198949962048424721846068804493572188632086182757843332370735863820370440434002088760157404971911198083753322498642628629497113709920819878648554662648996401467012920183815569682558632579258822420009616015410268312902129980370036372523343101250448556932440490733126838689702071758190848876065166057067052078646719844889177412576729859462499741119299121051736647681380046451232045802030262474066796521663428195903427542179284824243707190893814402058485129020696655791968212500696867858608346226292269555786851839302045596723838586853407191338913992186707760465172935780763080650026339152916664831146153431641339153450913474339740241097207908493907305418141627414785035636832164798992012437845046657889410922254578254418181485164567568518987698641376214242820128697940353729346734073993712880021686867526774379344537041165004818782232980192948487294711528125297140902521796666512724266508048249711415493859361845647459407308752107805309925146623039724755213123466104034585635298168183555868685949116754110486964487666309622449764223036300575194023650380684423528446691992396021118161455478752536214613377719413996173748232908225666138637070928614559088872813680790809375152492738243783096601380906209526713169383933276762095972106927800279893997121141137612196805638539976832122099389538289329592211341789908810023991082827808234340982651411495231698407258643994693979279658989060982140786680938346145809479359613454556001283636660505658879668938688840318243781061501473716128393946500969191458066481386181250219180041455435817308122105521021202760048392018123846065398317086235081424782581054954368500838960436778090136791200382171792130509051184615040660122265413712326956166238116543217688614168901677837350954942270905986930898378257354939825057474074279068842342920708005054615356485391625237743334032270391264490944326620722683573538487089597359145959468789602139284018346841616086734410380635584015886046399554787477367278467825493712062757879415988391497532548627556772021999649807378184361721400838203774342023256475294964934706372531396448399729193497957373830973194898658549800082134645659838785298581387715663034800868939323513838198555924299136089308394944190672513662933343432762775861159369573563749818784548625897041950640922086942201443321704694866482871425658579825597611220942264091917959373597314554774824468001514913703484325117999708845141812885141057483130265654477241348726816338}
30465 1163360059330552442958554321874504792992630092185145922907344103339811692464977274098597: {1187511,1674695,2009634,2830083,2984002,4262860,4412495,5115432,5294994,5381331,5754861,6089800,6473283,6602659,6655191,6851025,7307760,7699043,7794944,8221230,8769312,8794559,9432370,9865476,10788095,10984147,11318844,12353362,12644691,12945714,13549911,14253379,15032914,17146055,17345283,17525751,17647660,18195346,19597564,19655842,20361970,20575266,20771255,21177192,21669891,22559026,22748883,23824341,24100063,24434364,24839251,24925506,25294655,25440316,25442583,26518551,26901004,27996520,28504882,28906895,29217283,29500387,30353586,30480167,30792124,31496085,31528311,31885431,32034499,32227180,32420931,33595824,33669591,34688274,35173612,35718419,37044191,37152466,37713863,37795302,37837282,38672616,38810855,39007671,39709055,40427511,40511203,40721260,40784722,41420207,41605279,42143410,42150787,43085571,43506693,43695443,44449186,45208131,45524776,45580867,45763570,46309522,46573026,46619794,47367874,47650866,48196954,48561783,48865512,50572092,51215373,51745906,52105799,52246055,53663811,54053260,54664594,54775591,54916284,54973701,55190279,57264739,57520851,58151842,58488095,58520959,58920531,60123752,60143991,60215410,60268295,60709845,61207474,62587383,62695266,62873404,63072259,63220402,63284631,64712495,64757168,64863912,65531986,65895891,66156460,67374695,67639221,68538319,69128626,70185714,70482143,71227663,72258492,72273625,72321954,72851814,72971901,73005783,73159747,73481205,73556287,73697271,75795154,75919831,76047069,76631811,77142585,77253922,77303779,77654994,78182583,78264511,78325607,78379952,78895036,79387752,80040787,80849634,81017074,81269266,81564076,81565762,81806770,82285424,82951063,83074060,83205082,83390483,83454322,83601370,84763564,85366919,85986394,86728350,87477625,87677255,88177446,88555655,89154231,89311221,89973871,90007251,90314860,90532225,90919612,91200471,91384293,91711491,92108567,92510240,92571102,92697154,92732883,93233452,93583383,93753411,94651063,95388645,95569895,95998924,97208903,98168124,98587426,98755180,98843091,99350871,99368471,99688872,...,1466701304237160945079991136610950651263377049296337989731121507991788832431336911863984449643497508369050118893430402772226666683719104146820329697790976561009174847383530057601922864663037264554803930393404399670458068817043604512523260980964552035901029108780963463314768051527860644176539903558060562239418062232039843016478242473197851253183661333002292952094223921575101311580176158780710789193987202007945030924130846230879164133980336637565189377293352089601212907017026537832631715668718262497671421260396541463949858852870488949246209670935857331548128136639059381723150709755121079660641485445464873011971265956415492880078379435108289573891551035458966185181681441872025795435226163912655952027268708748727662799945030763584804965599515208959062414771812077476233322185992419089811737244657018690761537763714512085829252063069159640553145306148925970920411034652902912832524734811576606985690329184778208316359988108171721922396204588652933327509672223618764172151404610416499988208731164111377111181923792113781970837877018772396993407112851154055079244992280538145904871863220719911658996992385403468479635789742276174454142627440785394719039577550448703159208137824058178013515919368201921606511422587241680375718847332076994979371201054752148267446229126657948746035913163092912923567970496841267073980270030727555160865536477871755947222504839678409791551715214463642238282753349784259890352926985570763594883136209211488966278245197018450232953539908476911238668268056370868999574966320008583336848947772452316293434880521609277079040536038971697522166096454372220928498567741698869776296357495316767184096930510867987833457316472397100876130778856149981639267159404865472832799945120306756432766100068285514653075547400540934757177202164793092386297632273719517412052575401917989319065722524748897513650823194785766950616704181728474856873035346936010544434101214824750068857543220921336952286675682569745668186545051800208723365400844132090108265057350605559828638653610367554643339544803000436867823552918575917441189532611778320580015245516910998536316493536384203553129872653617760893899982980399807602322528283026131498732239946682092888849196411066512885518637345957279200679994784979177930355992712348017077451698681050015320164226396687074867394719424671653526792276230819273876973323830179215697231986296619813728358909114081272849903364768345030134931611373079898326336346675243899171329131984530220461527380714914110298424943072637082769103206740358282948129274136764998556103795730555660651003133140236107457866797125629983747963942944245670564881229817972831993973494602200519380275723354523837948868888233630014424023115402469353194970555054558785014651875672835398660736099690258034553107637286273314097749085600578117970079767333766118865094789193749611678948681577604971522070069676848068703045393711100194782495142293855141313268927236365560786340721603087727693531044983687952318751045301787912519339438404333680277758953068395085757880280110787008370988280061640697759403671144620975039508729374997246719230147462008730176370211509610361645811862740860958127212441122177553455248247198488018656767569986834116383381867381627272227746851352778481547962064321364230193046910530594020101110990569320032530301290161569016805561747507228173349470289422730942067292187945711353782694999769086399762072374567123240789042768471189110963128161707964887719934559587132819685199156051878452947252275333803028923675131165730446731499464433674646334554450862791035475571026635292670037988594031677242183218128804321920066579120994260622349362338499207955606392921838633309220521186214062728739107365674644902071359314290069754075899915143143958160391700419840995681711706418295208457809965248183149084307433994388317012684863215035986624241712351511473977117242847547610887965992040968919488483591473211180021407519218714219039420181834001925454990758488319503408033260477365671592252210574192590919751453787187099722079271875328770062183153725962183158281531804140072588027185769098097475629352622137173871582431552751258440655167135205186800573257688195763576776922560990183398120568490434249357174814826532921253352516756026432413406358980396347567386032409737586211111418603263514381062007581923034728087437856615001048405586896736416489931084025360307730634396038718939203184403208926027520262424130101615570953376023829069599332181216050917701738240568094136819123982587246298822941335158032999474711067276542582101257305661513034884712942447402059558797094672599593790246936060746459792347987824700123201968489758177947872081573494552201303408985270757297833886448704133962592416286008770494400015149144163791739054360345624728176822938845562925961383130413302164982557042299724307138487869738396416831413396137876939060395971832162236702002272370555226487676999563267712719327711586224695398481715862023090224507}
30466 1166947752958337162415268698089300906041793429257145183582713374087447534306077238204427: {517633,1583348,2251598,2679512,3014451,3709166,3773444,4437086,4476003,5240689,5328575,5891198,5962993,6394290,6820576,7059992,7175108,7612250,7673148,7942491,7943389,8122993,8631044,8873588,9134700,9154526,9516398,9743680,10451293,10629889,10961640,11684606,11692416,12331845,12589693,12766766,13153968,13487486,14148555,14567486,14798214,15091792,16723598,16859588,16978266,17082446,17260952,17538973,17714689,17890333,18066548,18530043,19292893,19418571,19948046,20167153,22059575,22084189,22091198,22447886,22549371,23127044,23367668,23646193,24496955,26471490,27293019,27433688,27439873,28236256,28893188,28981789,29396346,29483763,29835889,30331844,30542955,30862899,31765788,31800395,32387389,32579152,32729198,33234008,33626255,33838539,33923444,34079389,34995650,35358068,35764189,35895326,36597326,36651546,36771613,37388259,37649246,38160474,38444893,38490155,39399566,39834179,40283975,40351506,40471448,41604289,41769853,41994780,42037748,42513908,42757323,43091773,43227908,43967015,44794432,44892788,45530379,46188186,46251032,46376413,47867963,48340770,48789086,50393736,50516366,50901575,51563488,51895598,52010228,52032411,52216189,52240046,52608283,52760418,52859293,53903348,54462013,55333598,55579633,55728699,56216689,56662522,56692953,56755923,56905970,57011389,57447428,57645853,58008924,58415486,58595389,60122606,60277508,61081890,61177083,62097368,62506526,62588339,63148273,63215115,63534488,64749044,65154016,65561198,66252913,66673779,66848119,67429456,67566575,67591166,68287164,68562493,68582458,68645355,69464283,69859539,69929691,70962926,71051811,71160433,71476299,71551748,71999746,72295431,73221712,73298268,73888513,74039389,74642173,74792689,74943133,75154690,75324686,75659198,75694273,75858138,76694468,76892353,77329598,77618859,77936893,78560708,78591755,80191988,80606653,80901853,80946460,81007322,81079890,81344113,81996891,82374426,82695575,83449844,83593688,83975198,84379508,85731073,86455933,86485216,87227763,87861188,88592846,89029402,89250206,90185628,90196189,90323115,90838699,91052413,91763953,91811211,92190013,92201198,93181633,93509006,93580952,93835598,94042899,94141138,94310106,94830603,95294653,95466398,96344656,96429272,97112833,97135752,97295868,97341044,97418606,97974940,98263028,98297979,98618795,99234690,...,1955601738982881260106654848814600868351169399061783986308162010655718443241782549151979266191330011158733491857907203696302222244958805529093772930387968748012233129844706743469230486217383019406405240524539199560610758422724806016697681307952736047868038811707951284419690735370480858902053204744080749652557416309386457355304323297597135004244881777336390602792298562100135082106901545040947718925316269343926707898841128307838885511973782183420252503057802786134950542689368717110175620891624349996895228347195388618599811803827318598994946227914476442064170848852079175630867613006828106214188647260619830682628354608553990506771172580144386098522068047278621580242241922496034393913634885216874602703024944998303550399926707684779739954132686945278749886362416103301644429581323225453082316326209358254348717018286016114439002750758879520737527074865234627893881379537203883776699646415435475980920438913037611088479984144228962563194939451537244436679562964825018896201872813888666650944974885481836148242565056151709294450502691696529324542817134872073438993323040717527873162484294293215545329323180537957972847719656368232605523503254380526292052770067264937545610850432077570684687892490935895475348563449655573834291796442769326639161601406336197689928305502210598328047884217457217231423960662455022765307026707636740214487381970495674596296673119571213055402286952618189651043671133045679853803902647427684793177514945615318621704326929357933643938053211302548318224357408494491999433288426678111115798597029936421724579840695479036105387381385295596696221461939162961237998090322265159701728476660422356245462574014490650444609755296529467834841038474866642185689545873153963777066593493742341910354800091047352870767396534054579676236269553057456515063509698292689882736767202557319092087630032998530018201097593047689267488938908971299809164047129248014059245468286433000091810057627895115936382234243426327557582060069066944964487201125509453477686743134140746438184871480490072857786059737333915823764737224767889921586043482371094106686994022547998048421991381845604737506496871490347858533310640533076803096704377368175331642986595576123851798928548088683847358183127943038934239993046638903907141323616464022769935598241400020426885635195582766489859625899562204702389701641092365169297765106905620929642648395493084971145212152108363799871153024460040179908815164106531101781795566991865561772175979373627282036507619885480397899924096849443692137608987144377264172365515686664741471727640740880868004177520314809943822396167506644997285257258994227419841639757297109325297992802934025840367631139365117265158517644840019232030820536625804259960740072745046686202500897113864880981466253677379404143516381697752130332114134104157293439689778354825153459718924999482238598242103473295362760092902464091604060524948133593043326856391806855084358569648487414381787628804116970258041393311583936425001393735717216692452584539111573703678604091193447677173706814382677827984373415520930345871561526161300052678305833329662292306863282678306901826948679480482194415816987814610836283254829570071273664329597984024875690093315778821844509156508836362970329135137037975397282752428485640257395880707458693468147987425760043373735053548758689074082330009637564465960385896974589423056250594281805043593333025448533016096499422830987718723691294918814617504215610619850293246079449510426246932208069171270596336367111737371898233508220973928975332619244899528446072601150388047300761368847056893383984792042236322910957505072429226755438827992347496465816451332277274141857229118177745627361581618750304985476487566193202761812419053426338767866553524191944213855600559787994242282275224393611277079953664244198779076578659184422683579817620047982165655616468681965302822990463396814517287989387958559317978121964281573361876692291618958719226909112002567273321011317759337877377680636487562123002947432256787893001938382916132962772362500438360082910871634616244211042042405520096784036247692130796634172470162849565162109908737001677920873556180273582400764343584261018102369230081320244530827424653912332476233086435377228337803355674701909884541811973861796756514709879650114948148558137684685841416010109230712970783250475486668064540782528981888653241445367147076974179194718291918937579204278568036693683232173468820761271168031772092799109574954734556935650987424125515758831976782995065097255113544043999299614756368723442801676407548684046512950589929869412745062792896799458386995914747661946389797317099600164269291319677570597162775431326069601737878647027676397111848598272178616789888381345027325866686865525551722318739147127499637569097251794083901281844173884402886643409389732965742851317159651195222441884528183835918747194629109549648936003029827406968650235999417690283625770282114966260531308954482697453632676}
30467 1170546446674212260086469176399507286597139120342449984768071733092507931768066180042996: {30467,1979185,2344573,2375022,3349390,3377397,4019268,4716805,5563749,5660166,5968004,6177493,6655629,8525720,8824990,8836797,8968885,9098869,9591435,9706213,9829213,10230864,10589988,10762662,10788805,11091985,11418375,11509722,11896957,12179600,12946566,13205318,13310382,13702050,13731789,14274597,14615520,15103333,15398086,15589888,16442460,17526909,17538624,17589118,17724949,18864740,19150149,19730952,20231229,21074485,21576190,21851229,21968294,22197321,22396693,22583185,22637688,24004477,24291997,24706724,25085397,25289382,25467399,25623669,25891428,27099822,28506758,28670029,28908805,29079757,29209585,29729293,29922069,30065828,30482173,31513393,33136797,33671829,34066069,34292110,34690566,35051502,35295320,35412517,36116485,36386053,36390692,37046629,37914805,39195128,39311684,39707235,40469653,40723940,41150532,41422933,41542510,42212677,42354384,42404305,42847837,43339782,44094519,44197585,44276773,44570929,45118052,45497766,45690733,46100113,47648682,48200126,48868728,49093797,49673173,49678502,49851012,50589310,50880632,50885166,51640069,52493475,52547185,53037102,53137597,53142385,53802008,53842989,54034885,54315349,54335197,54895989,54977319,55592677,55993040,56115985,56221873,56473869,57009764,57240711,57813790,58235893,58434566,59000774,59099349,60527259,60707172,60960334,61584248,61683253,62525653,62992170,63056622,63770862,64068998,64454360,64841862,65012785,65467357,65571253,67191648,67339182,67379185,67520413,67704157,69282279,69376548,70347224,70598977,71436838,71809285,71877829,72511155,73144477,73183629,73457773,74088382,74304932,75346885,75427726,75590604,75644197,75674564,75774549,77345232,77461549,77621710,77843397,78015342,78360069,79140627,79418110,80852017,80855022,80936305,81022406,81442520,81569444,81883333,82840414,83000397,83210558,83727373,84286820,84301574,84375613,84993783,85349233,85358955,86171142,87013386,87390886,87623229,88898372,89323333,89439685,90183909,90416262,90597493,91049552,91161734,91333069,91527140,91622835,92114653,92619044,93137713,93146052,93195637,93239588,93759789,94324573,94735748,95301732,95497357,95868085,96393908,97123566,97731024,98200885,98250973,98293933,98341797,98552389,99912913,...,2933402608474321890159982273221901302526754098592675979462243015983577664862673823727968899286995016738100237786860805544453333367438208293640659395581953122018349694767060115203845729326074529109607860786808799340916137634087209025046521961929104071802058217561926926629536103055721288353079807116121124478836124464079686032956484946395702506367322666004585904188447843150202623160352317561421578387974404015890061848261692461758328267960673275130378754586704179202425814034053075665263431337436524995342842520793082927899717705740977898492419341871714663096256273278118763446301419510242159321282970890929746023942531912830985760156758870216579147783102070917932370363362883744051590870452327825311904054537417497455325599890061527169609931199030417918124829543624154952466644371984838179623474489314037381523075527429024171658504126138319281106290612297851941840822069305805825665049469623153213971380658369556416632719976216343443844792409177305866655019344447237528344302809220832999976417462328222754222363847584227563941675754037544793986814225702308110158489984561076291809743726441439823317993984770806936959271579484552348908285254881570789438079155100897406318416275648116356027031838736403843213022845174483360751437694664153989958742402109504296534892458253315897492071826326185825847135940993682534147960540061455110321731072955743511894445009679356819583103430428927284476565506699568519780705853971141527189766272418422977932556490394036900465907079816953822477336536112741737999149932640017166673697895544904632586869761043218554158081072077943395044332192908744441856997135483397739552592714990633534368193861021735975666914632944794201752261557712299963278534318809730945665599890240613512865532200136571029306151094801081869514354404329586184772595264547439034824105150803835978638131445049497795027301646389571533901233408363456949713746070693872021088868202429649500137715086441842673904573351365139491336373090103600417446730801688264180216530114701211119657277307220735109286679089606000873735647105837151834882379065223556641160030491033821997072632987072768407106259745307235521787799965960799615204645056566052262997464479893364185777698392822133025771037274691914558401359989569958355860711985424696034154903397362100030640328452793374149734789438849343307053584552461638547753946647660358431394463972593239627456717818228162545699806729536690060269863222746159796652672693350487798342658263969060440923054761429828220596849886145274165538206413480716565896258548273529997112207591461111321302006266280472214915733594251259967495927885888491341129762459635945663987946989204401038760551446709047675897737776467260028848046230804938706389941110109117570029303751345670797321472199380516069106215274572546628195498171201156235940159534667532237730189578387499223357897363155209943044140139353696137406090787422200389564990284587710282626537854472731121572681443206175455387062089967375904637502090603575825038678876808667360555517906136790171515760560221574016741976560123281395518807342289241950079017458749994493438460294924017460352740423019220723291623725481721916254424882244355106910496494396976037313535139973668232766763734763254544455493702705556963095924128642728460386093821061188040202221981138640065060602580323138033611123495014456346698940578845461884134584375891422707565389999538172799524144749134246481578085536942378221926256323415929775439869119174265639370398312103756905894504550667606057847350262331460893462998928867349292669108901725582070951142053270585340075977188063354484366436257608643840133158241988521244698724676998415911212785843677266618441042372428125457478214731349289804142718628580139508151799830286287916320783400839681991363423412836590416915619930496366298168614867988776634025369726430071973248483424703022947954234485695095221775931984081937838976967182946422360042815038437428438078840363668003850909981516976639006816066520954731343184504421148385181839502907574374199444158543750657540124366307451924366316563063608280145176054371538196194951258705244274347743164863105502516881310334270410373601146515376391527153553845121980366796241136980868498714349629653065842506705033512052864826812717960792695134772064819475172422222837206527028762124015163846069456174875713230002096811173793472832979862168050720615461268792077437878406368806417852055040524848260203231141906752047658139198664362432101835403476481136188273638247965174492597645882670316065998949422134553085164202514611323026069769425884894804119117594189345199187580493872121492919584695975649400246403936979516355895744163146989104402606817970541514595667772897408267925184832572017540988800030298288327583478108720691249456353645877691125851922766260826604329965114084599448614276975739476792833662826792275753878120791943664324473404004544741110452975353999126535425438655423172449390796963431724046180449014}
30468 1174156174009800423118228083909233890079714915819680153647525072231656489806749292151761: {578531,1035266,1125947,1247507,2400731,3067067,3166696,3562533,3853307,4503196,4517531,5024085,5359024,5963387,6023531,6028902,6864707,7418332,7460005,7546888,7764227,8183387,8482547,8490249,8874172,8952006,9259427,9975347,10481378,10511531,10657150,10809131,11403731,11782396,11925986,11938187,12294131,12649787,12788580,13182731,13237485,13641152,13715027,14119984,14350216,14364731,15224500,15249131,15346296,15602387,15884982,15886778,16143993,16190507,16245986,16366787,17262088,17264583,17540147,17747176,17950067,18269400,18309052,18418067,18827147,19032796,19419849,19487360,19807977,19965573,20553075,20902586,21099131,21259778,21621707,21923280,22317467,23097129,23369212,23384832,23580925,23647787,24513107,24663690,24858731,25179386,25376627,25533532,26066147,26238347,26307936,26383677,26974972,27670547,27784907,28297110,28527467,29134972,29596428,30183584,30349547,30576731,30883405,31427531,32364285,32952441,33123731,33447196,33719176,33956532,34164892,34295737,34306787,34521904,34587947,35077946,35429378,35598467,35780666,36133096,36158747,36774131,37060086,37276907,37582285,37611731,37934073,37946267,38503187,38585786,38837142,39781067,39896092,40334306,40649733,40944131,41993387,42103667,42324131,42760137,43149731,44119150,44168378,44182396,44520553,44895772,45069131,45098742,45287867,45488365,46106987,46216067,46254088,46434131,46735336,47076757,47292386,48824387,48993910,49139605,49149131,50904925,51438165,51897827,52035849,52577253,52862987,52942980,53237627,53504987,53665307,53886217,53985731,54586038,54867376,54879746,55104947,55636667,56397565,56472512,56571229,57702731,57786376,57963578,57966731,58792692,58967526,59073347,59671778,60663688,61085910,61171427,61553821,61641731,61725798,62313765,63204731,63531576,63600790,63931667,64449947,64774778,65009673,65158304,65458396,66257627,66468016,66617987,66875147,67252510,67337531,67645427,67677078,67799267,67846888,68158778,68246649,68311547,68413907,69078467,69951673,69991300,70454387,70716136,71165531,71216267,71262205,71473023,71528378,71790652,72300189,72886067,72986987,73194652,73303092,73543226,73944131,73968037,74396507,74517753,74697731,74776518,75298492,75449531,75699731,75749747,75883965,76320948,76327749,76648667,76889786,76897907,76980310,78389147,78736067,78799132,78884627,79555653,79626347,79668358,80366267,80567950,80612507,80703012,80907731,80942896,82673027,82868531,83208578,83307947,83405507,83539706,83892827,83989560,84075496,85027816,85514646,86183546,86455816,86510531,86720685,86944547,87040907,87474131,87651849,87934030,87954731,88501161,88626227,88961387,89588864,89785576,91059131,91060758,91106627,91440501,91818107,92196827,92376372,92502064,92752826,92881165,93377027,94488255,94584933,94593205,94786667,95348507,95488787,95656293,95735926,96103497,96681540,96887627,97262793,97578172,98833907,99249131,99939731,...,4400103912711482835239973409832851953790131147889013969193364523975366497294010735591953348930492525107150356680291208316680000051157312440460989093372929683027524542150590172805768593989111793664411791180213199011374206451130813537569782942893656107703087326342890389944304154583581932529619710674181686718254186696119529049434727419593553759550983999006878856282671764725303934740528476342132367581961606023835092772392538692637492401941009912695568131880056268803638721051079613497895147006154787493014263781189624391849576558611466847738629012807571994644384409917178145169452129265363238981924456336394619035913797869246478640235138305324868721674653106376898555545044325616077386305678491737967856081806126246182988399835092290754414896798545626877187244315436232428699966557977257269435211733971056072284613291143536257487756189207478921659435918446777912761233103958708738497574204434729820957070987554334624949079964324515165767188613765958799982529016670856292516454213831249499964626193492334131333545771376341345912513631056317190980221338553462165237734976841614437714615589662159734976990977156210405438907369226828523362427882322356184157118732651346109477624413472174534040547758104605764819534267761725041127156541996230984938113603164256444802338687379973846238107739489278738770703911490523801221940810092182665482596609433615267841667514519035229374655145643390926714848260049352779671058780956712290784649408627634466898834735591055350698860619725430733716004804169112606998724898960025750010546843317356948880304641564827831237121608116915092566498289363116662785495703225096609328889072485950301552290791532603963500371949417191302628392336568449944917801478214596418498399835360920269298298300204856543959226642201622804271531606494379277158892896821158552236157726205753967957197167574246692540952469584357300851850112545185424570619106040808031633302303644474250206572629662764010856860027047709237004559635155400626170096202532396270324795172051816679485915960831102663930018634409001310603470658755727752323568597835334961740045736550732995608949480609152610659389617960853282681699948941199422806967584849078394496196719840046278666547589233199538656555912037871837602039984354937533791067978137044051232355096043150045960492679190061224602184158274014960580376828692457821630919971490537647091695958889859441185076727342243818549710094305035090404794834119239694979009040025731697513987395953590661384582142144742330895274829217911248307309620221074848844387822410294995668311387191666981953009399420708322373600391376889951243891828832737011694643689453918495981920483806601558140827170063571513846606664700890043272069346207408059584911665163676355043955627018506195982208299070774103659322911858819942293247256801734353910239302001298356595284367581248835036846044732814914566210209030544206109136181133300584347485426881565423939806781709096682359022164809263183080593134951063856956253135905363737558018315213001040833276859205185257273640840332361025112964840184922093278211013433862925118526188124991740157690442386026190529110634528831084937435588222582874381637323366532660365744741595464055970302709960502349150145602144881816683240554058335444643886192964092690579140731591782060303332971707960097590903870484707050416685242521684520048410868268192826201876563837134061348084999307259199286217123701369722367128305413567332889384485123894663159803678761398459055597468155635358841756826001409086771025393497191340194498393301023939003663352588373106426713079905878010113965782095031726549654386412965760199737362982781867048087015497623866819178765515899927661563558642188186217322097023934706214077942870209262227699745429431874481175101259522987045135119254885625373429895744549447252922301983164951038054589645107959872725137054534421931351728542642832663897976122906758465450774419633540064222557656142657118260545502005776364972275464958510224099781432097014776756631722577772759254361361561299166237815625986310186549461177886549474844595412420217764081557307294292426888057866411521614747294658253775321965501405615560401719773064587290730330767682970550194361705471302748071524444479598763760057550268079297240219076941189042702158097229212758633334255809790543143186022745769104184262313569845003145216760690209249469793252076080923191903188116156817609553209626778082560787272390304846712860128071487208797996543648152753105214721704282410457371947761738896468824005474098998424133201829627746303771916984539104654138827342206178676391284017798781370740808182239379377043963474100369605905469274533843616244720483656603910226955812271893501659346112401887777248858026311483200045447432491375217163081036874184530468816536688777884149391239906494947671126899172921415463609215189250494240188413630817181187915496486710106006817111665679463030998689803138157983134758674086195445147586069270673521}
30469 1177776968598346545503422189211961423199459871007867270256272951890494679833206003646209: {30469,60934,1552899,2770859,3958370,4689146,4750044,5628995,6603527,6698780,6754794,8038536,9043353,9272915,9433610,10375607,10985591,11092715,11127498,11320332,11470979,11936008,12354986,12556439,13296599,13311258,13428009,14727995,15104327,15528779,15722067,15985725,17051440,17649980,17673594,17888979,17937770,18197738,19030625,19182870,19412426,19658426,20461728,20947667,21179976,21525324,21577610,22183970,22398167,22836750,22886315,23019444,23790995,23793914,23827473,23830167,24359200,24368979,25893132,26410636,26468819,26620764,27149879,27404100,27463578,28549194,29211515,29231040,29504279,30068567,30206666,30796172,31179776,31353879,31515467,31616459,31889667,31916915,32622419,32884920,33718715,34068311,35053818,35077248,35134619,35178236,35220851,35449898,36418715,36995535,37729480,37769079,38300298,39461904,40462458,40472327,40893419,41808995,42148970,42445665,42706115,43001699,43152380,43702458,43936588,44279687,44394642,44793386,45166370,45275376,46103147,46357751,47888759,48008954,48348899,48583994,49413448,49870115,50170794,50339927,50563079,50578764,50934798,51247338,51782856,52616919,53080727,53144067,53670999,53998139,54199644,55176839,55227995,55590129,56119715,57013516,57340058,57817610,57878679,58159514,58255713,58419170,58704659,59366027,59389079,59458586,59844138,60131656,60501459,60964346,61876619,62836211,63026786,64190867,64286939,66178725,66236951,66252567,66273594,66837767,67343658,67648113,68132138,68584220,69381132,70103004,70590640,70825034,70938579,71629619,72232970,72772106,72781384,73169399,73490865,73566059,74093258,74399339,75463991,75648839,75829610,75947867,77041079,77493299,78390256,78562379,78623368,78904739,79414470,80939306,81447880,81822995,81879057,82301064,82319619,82845866,83085020,84425354,84708768,84808610,85695674,86679564,86945367,87489125,88189038,88395170,88451289,88553546,88561799,89141858,89507667,89738315,89987447,90236104,90364019,90995532,91017899,91235387,91381466,91493315,91545467,91628865,91961507,92200226,92588697,93143867,94123115,94330859,95297364,95401185,96400252,96891479,97162167,97737456,98187594,98498915,99279779,99346346,99357004,99702024,...,5866805216948643780319964546443802605053508197185351958924486031967155329725347647455937798573990033476200475573721611088906666734876416587281318791163906244036699389534120230407691458652149058219215721573617598681832275268174418050093043923858208143604116435123853853259072206111442576706159614232242248957672248928159372065912969892791405012734645332009171808376895686300405246320704635122843156775948808031780123696523384923516656535921346550260757509173408358404851628068106151330526862674873049990685685041586165855799435411481955796984838683743429326192512546556237526892602839020484318642565941781859492047885063825661971520313517740433158295566204141835864740726725767488103181740904655650623808109074834994910651199780123054339219862398060835836249659087248309904933288743969676359246948978628074763046151054858048343317008252276638562212581224595703883681644138611611651330098939246306427942761316739112833265439952432686887689584818354611733310038688894475056688605618441665999952834924656445508444727695168455127883351508075089587973628451404616220316979969122152583619487452882879646635987969541613873918543158969104697816570509763141578876158310201794812636832551296232712054063677472807686426045690348966721502875389328307979917484804219008593069784916506631794984143652652371651694271881987365068295921080122910220643462145911487023788890019358713639166206860857854568953131013399137039561411707942283054379532544836845955865112980788073800931814159633907644954673072225483475998299865280034333347395791089809265173739522086437108316162144155886790088664385817488883713994270966795479105185429981267068736387722043471951333829265889588403504523115424599926557068637619461891331199780481227025731064400273142058612302189602163739028708808659172369545190529094878069648210301607671957276262890098995590054603292779143067802466816726913899427492141387744042177736404859299000275430172883685347809146702730278982672746180207200834893461603376528360433060229402422239314554614441470218573358179212001747471294211674303669764758130447113282320060982067643994145265974145536814212519490614471043575599931921599230409290113132104525994928959786728371555396785644266051542074549383829116802719979139916711721423970849392068309806794724200061280656905586748299469578877698686614107169104923277095507893295320716862788927945186479254913435636456325091399613459073380120539726445492319593305345386700975596685316527938120881846109522859656441193699772290548331076412826961433131792517096547059994224415182922222642604012532560944429831467188502519934991855771776982682259524919271891327975893978408802077521102893418095351795475552934520057696092461609877412779882220218235140058607502691341594642944398761032138212430549145093256390996342402312471880319069335064475460379156774998446715794726310419886088280278707392274812181574844400779129980569175420565253075708945462243145362886412350910774124179934751809275004181207151650077357753617334721111035812273580343031521120443148033483953120246562791037614684578483900158034917499988986876920589848034920705480846038441446583247450963443832508849764488710213820992988793952074627070279947336465533527469526509088910987405411113926191848257285456920772187642122376080404443962277280130121205160646276067222246990028912693397881157690923768269168751782845415130779999076345599048289498268492963156171073884756443852512646831859550879738238348531278740796624207513811789009101335212115694700524662921786925997857734698585338217803451164141902284106541170680151954376126708968732872515217287680266316483977042489397449353996831822425571687354533236882084744856250914956429462698579608285437257160279016303599660572575832641566801679363982726846825673180833831239860992732596337229735977553268050739452860143946496966849406045895908468971390190443551863968163875677953934365892844720085630076874856876157680727336007701819963033953278013632133041909462686369008842296770363679005815148748398888317087501315080248732614903848732633126127216560290352108743076392389902517410488548695486329726211005033762620668540820747202293030752783054307107690243960733592482273961736997428699259306131685013410067024105729653625435921585390269544129638950344844445674413054057524248030327692138912349751426460004193622347586945665959724336101441230922537584154875756812737612835704110081049696520406462283813504095316278397328724864203670806952962272376547276495930348985195291765340632131997898844269106170328405029222646052139538851769789608238235188378690398375160987744242985839169391951298800492807873959032711791488326293978208805213635941083029191335545794816535850369665144035081977600060596576655166956217441382498912707291755382251703845532521653208659930228169198897228553951478953585667325653584551507756241583887328648946808009089482220905950707998253070850877310846344898781593926863448092360898028}
30470 1181408864175023921913386926585211699222887067603198530066333771532513227827960541243025: {91401,1157062,1308361,2037001,2070532,2251894,2400889,2495014,3127801,4578169,4759141,4801462,4940041,5937555,6023929,6134134,6333392,6384649,6925189,7033719,7125066,7706614,8373475,8542921,9006392,9035062,9976009,10048170,10132191,10154821,10444007,10718048,11047801,11226181,11404489,11926774,12047062,12057804,13715941,13729414,14150415,14601721,14836664,14920010,15093776,15528454,15662281,16366774,16691247,16965094,16980498,17748344,17904012,18126841,18477769,18518854,18532479,19950694,19966887,20962756,21023062,21100549,21314300,21618262,22062475,22807462,23360521,23564792,23851972,23876374,24572389,24588262,25299574,25435849,25577160,26125321,26365462,26474970,26510391,26906655,27282304,27296607,27430054,28239968,28700432,28729462,28774305,29118639,29384581,29487639,30408421,30449000,30498262,30692592,31204774,31429669,31769964,31773556,31939321,32287986,32366415,32381014,32491972,32733574,32956681,33013295,33275955,34255125,34524176,34529166,35080294,35152069,35494352,35690871,35900134,36497029,36538800,36618104,36836134,37335289,37654294,37670089,37837381,38004601,38065592,38495215,38839698,38974720,39615954,39931146,41106150,41195367,41805172,41996281,42161701,42198262,42519556,42823791,43236767,43243414,43846560,43972795,44634361,44634934,44798629,45309999,46194258,46738424,46769664,46927561,47161850,47295574,47743141,47906041,48881929,49026214,49327380,49717462,50017189,50179081,50358772,50502649,50753254,51067064,51148921,51632869,52132294,52476694,52580727,52615199,52615872,52767354,53174847,53401801,53562181,53722489,53940475,53949944,54920735,55162021,55341094,55569814,56594220,56754661,57054934,57450447,58269944,59130121,59192856,60367168,60693687,60699094,61153462,61175749,61766810,62596567,62855062,63223455,63520969,63683711,63988069,64454521,64728570,65553687,65904882,66004681,66247462,66591963,66622729,66856907,66894392,66931321,67085509,67190079,67438352,67749555,67913064,68329784,68591474,68613574,68795447,69043808,69175894,69236581,70001401,70155892,70858756,71196934,71221369,71266895,71561332,72013431,72266192,72317494,72875991,73548262,73647481,74120172,74251129,74401861,74553814,75154441,75164570,75223462,75256191,75454969,75755209,75868146,75892534,76402197,76871007,77006374,77171572,77401381,77674284,78956591,79562134,79632121,79792184,80668612,81299466,81888262,82670159,83898949,83986774,84207334,84648262,85065349,85520274,85730275,86010087,86299462,86726415,86950921,87239271,87416771,87628755,87672901,87961189,88238300,88336756,88364792,88680649,89041106,89187879,89766207,89791544,90138262,90197484,90575734,90685561,90976730,91113349,91446519,92213974,92432134,92508176,92868262,93470672,94153514,94540179,94584772,94653049,94793701,96894841,97452409,97591621,97648774,97987820,98279210,98298262,99410391,99767087,99809221,99947209,...,8800207825422965670479946819665703907580262295778027938386729047950732994588021471183906697860985050214300713360582416633360000102314624880921978186745859366055049084301180345611537187978223587328823582360426398022748412902261627075139565885787312215406174652685780779888608309167163865059239421348363373436508373392239058098869454839187107519101967998013757712565343529450607869481056952684264735163923212047670185544785077385274984803882019825391136263760112537607277442102159226995790294012309574986028527562379248783699153117222933695477258025615143989288768819834356290338904258530726477963848912672789238071827595738492957280470276610649737443349306212753797111090088651232154772611356983475935712163612252492365976799670184581508829793597091253754374488630872464857399933115954514538870423467942112144569226582287072514975512378414957843318871836893555825522466207917417476995148408869459641914141975108669249898159928649030331534377227531917599965058033341712585032908427662498999929252386984668262667091542752682691825027262112634381960442677106924330475469953683228875429231179324319469953981954312420810877814738453657046724855764644712368314237465302692218955248826944349068081095516209211529639068535523450082254313083992461969876227206328512889604677374759947692476215478978557477541407822981047602443881620184365330965193218867230535683335029038070458749310291286781853429696520098705559342117561913424581569298817255268933797669471182110701397721239450861467432009608338225213997449797920051500021093686634713897760609283129655662474243216233830185132996578726233325570991406450193218657778144971900603104581583065207927000743898834382605256784673136899889835602956429192836996799670721840538596596600409713087918453284403245608543063212988758554317785793642317104472315452411507935914394335148493385081904939168714601703700225090370849141238212081616063266604607288948500413145259325528021713720054095418474009119270310801252340192405064792540649590344103633358971831921662205327860037268818002621206941317511455504647137195670669923480091473101465991217898961218305221318779235921706565363399897882398845613935169698156788992393439680092557333095178466399077313111824075743675204079968709875067582135956274088102464710192086300091920985358380122449204368316548029921160753657384915643261839942981075294183391917779718882370153454684487637099420188610070180809589668238479389958018080051463395027974791907181322769164284289484661790549658435822496614619240442149697688775644820589991336622774383333963906018798841416644747200782753779902487783657665474023389287378907836991963840967613203116281654340127143027693213329401780086544138692414816119169823330327352710087911254037012391964416598141548207318645823717639884586494513603468707820478604002596713190568735162497670073692089465629829132420418061088412218272362266601168694970853763130847879613563418193364718044329618526366161186269902127713912506271810727475116036630426002081666553718410370514547281680664722050225929680369844186556422026867725850237052376249983480315380884772052381058221269057662169874871176445165748763274646733065320731489483190928111940605419921004698300291204289763633366481108116670889287772385928185381158281463183564120606665943415920195181807740969414100833370485043369040096821736536385652403753127674268122696169998614518398572434247402739444734256610827134665778768970247789326319607357522796918111194936311270717683513652002818173542050786994382680388996786602047878007326705176746212853426159811756020227931564190063453099308772825931520399474725965563734096174030995247733638357531031799855323127117284376372434644194047869412428155885740418524455399490858863748962350202519045974090270238509771250746859791489098894505844603966329902076109179290215919745450274109068843862703457085285665327795952245813516930901548839267080128445115312285314236521091004011552729944550929917020448199562864194029553513263445155545518508722723122598332475631251972620373098922355773098949689190824840435528163114614588584853776115732823043229494589316507550643931002811231120803439546129174581460661535365941100388723410942605496143048888959197527520115100536158594480438153882378085404316194458425517266668511619581086286372045491538208368524627139690006290433521380418498939586504152161846383806376232313635219106419253556165121574544780609693425720256142974417595993087296305506210429443408564820914743895523477792937648010948197996848266403659255492607543833969078209308277654684412357352782568035597562741481616364478758754087926948200739211810938549067687232489440967313207820453911624543787003318692224803775554497716052622966400090894864982750434326162073748369060937633073377555768298782479812989895342253798345842830927218430378500988480376827261634362375830992973420212013634223331358926061997379606276315966269517348172390890295172138541347042}
30471 1185051894577241358755258692781013675278571533404774636720941047261545866428763529007374: {60938,121868,1735593,2588165,3105798,3377841,3684329,3742521,5541718,7202193,7880593,7916740,9201201,9378292,9500088,9707489,10687599,11257990,11559921,11898521,12262081,12982081,13207054,13397560,13509588,13552593,15072255,15529801,16077072,17890161,18070593,18086706,18545830,18867220,20594121,20619193,20751214,21971182,22185430,22254996,22380015,22640664,22941958,23292681,23733809,23872016,24550161,24709972,25112878,25447641,25470747,26203445,26470561,26593198,26622516,26642875,26856018,27778281,29455990,29814965,29926041,30208654,31057558,31444134,31534593,31971450,32040841,32427393,33307393,34102880,34211193,34872241,35223169,35299960,35347188,35777958,35814561,35875540,36395476,36882393,37721321,37949361,38061250,38365740,38824852,39316852,39548193,39712455,39716945,40614965,40896121,40923456,41145081,41237873,41895334,42359952,43050648,43094193,43155220,44367940,44683681,44796334,45673500,45696761,45747393,45772630,46038888,46707893,46807161,47206201,47581990,47587828,47654946,47660334,48352081,48431979,48571521,48718400,48737958,49100361,50986201,51083909,51786264,51793749,52256465,52620441,52821272,52937638,53149445,53241528,53850201,54299758,54786433,54808200,54927156,55201193,55254201,55648241,56481441,57098388,58259547,58285061,58423030,58462080,58532593,59008558,59423931,59492641,59788561,59896719,60137134,60413332,61592344,61659225,62359552,62707758,62948465,63030934,63232918,63297393,63595169,63779334,63833830,64865121,65244838,65769840,66952401,67437430,67529321,68136622,68720521,69291387,69818161,70107636,70154496,70269238,70356472,70441702,70496081,70742775,70899796,70943361,72837430,73539321,73991070,74576193,74669201,75279793,75458960,75538158,76129881,76600596,77319193,78198441,78280033,78567601,78715041,78923808,79151031,79652641,80056633,80924916,80944654,81786838,83011641,83354721,83617990,84297940,84891330,85383881,85412230,85582401,86003398,86304760,87359921,87404916,87694865,87873176,88559374,88573445,88789284,88868789,89451665,89586772,90332740,90550752,91048641,91730193,92206294,92650215,92715502,94282593,95777518,96017908,96464465,96697798,97092855,97167988,98826896,98857323,99371193,99740230,...,13200311738134448505719920229498555861370393443667041907580093571926099491882032206775860046791477575321451070040873624950040000153471937321382967280118789049082573626451770518417305781967335380993235373540639597034122619353392440612709348828680968323109261979028671169832912463750745797588859132022545060154762560088358587148304182258780661278652951997020636568848015294175911804221585429026397102745884818071505278317177616077912477205823029738086704395640168806410916163153238840493685441018464362479042791343568873175548729675834400543215887038422715983933153229751534435508356387796089716945773369009183857107741393607739435920705414915974606165023959319130695666635132976848232158917035475213903568245418378738548965199505276872263244690395636880631561732946308697286099899673931771808305635201913168216853839873430608772463268567622436764978307755340333738283699311876126215492722613304189462871212962663003874847239892973545497301565841297876399947587050012568877549362641493748499893878580477002394000637314129024037737540893168951572940664015660386495713204930524843313143846768986479204930972931468631216316722107680485570087283646967068552471356197954038328432873240416523602121643274313817294458602803285175123381469625988692954814340809492769334407016062139921538714323218467836216312111734471571403665822430276547996447789828300845803525002543557105688123965436930172780144544780148058339013176342870136872353948225882903400696504206773166052096581859176292201148014412507337820996174696880077250031640529952070846640913924694483493711364824350745277699494868089349988356487109675289827986667217457850904656872374597811890501115848251573907885177009705349834753404434643789255495199506082760807894894900614569631877679926604868412814594819483137831476678690463475656708473178617261903871591502722740077622857408753071902555550337635556273711857318122424094899906910933422750619717888988292032570580081143127711013678905466201878510288607597188810974385516155450038457747882493307991790055903227003931810411976267183256970705793506004885220137209652198986826848441827457831978168853882559848045099846823598268420902754547235183488590159520138835999642767699598615969667736113615512806119953064812601373203934411132153697065288129450137881478037570183673806552474822044881741130486077373464892759914471612941275087876669578323555230182026731455649130282915105271214384502357719084937027120077195092541962187860771984153746426434226992685824487653733744921928860663224546533163467230884987004934161575000945859028198262124967120801174130669853731675486498211035083931068361755487945761451419804674422481510190714541539819994102670129816208038622224178754734995491029065131866881055518587946624897212322310977968735576459826879741770405203061730717906003895069785853102743746505110538134198444743698630627091632618327408543399901753042456280644696271819420345127290047077066494427789549241779404853191570868759407716091212674054945639003122499830577615555771820922520997083075338894520554766279834633040301588775355578564374975220473071327158078571587331903586493254812306764667748623144911970099597981097234224786392167910908129881507047450436806434645450049721662175006333931658578892278071737422194775346180909998915123880292772711611454121151250055727565053560145232604804578478605629691511402184044254997921777597858651371104109167101384916240701998668153455371683989479411036284195377166792404466906076525270478004227260313076180491574020583495179903071817010990057765119319280139239717634030341897346285095179648963159238897280599212088948345601144261046492871600457536296547699782984690675926564558651966291071804118642233828610627786683099236288295623443525303778568961135405357764656876120289687233648341758766905949494853114163768935323879618175411163603265794055185627928497991693928368720275396352323258900620192667672968427971354781636506017329094916826394875530672299344296291044330269895167733318277763084084683897498713446877958930559648383533659648424533786237260653292244671921882877280664173599234564844241883974761325965896504216846681205159319193761872190992303048911650583085116413908244214573333438796291280172650804237891720657230823567128106474291687638275900002767429371629429558068237307312552786940709535009435650282070627748409379756228242769575709564348470452828659628880334247682361817170914540138580384214461626393989630944458259315644165112847231372115843285216689406472016422296995272399605488883238911315750953617313962416482026618536029173852053396344112222424546718138131131890422301108817716407823601530848734161450969811730680867436815680504978038337205663331746574078934449600136342297474125651489243110622553591406449610066333652448173719719484843013380697518764246390827645567751482720565240892451543563746489460130318020451334997038389092996069409414473949404276022258586335442758207812020563}
30472 1188706093744951205186662430681433650751871280806692750615956240683733717968198315304774: {91407,152335,182802,700327,1247671,2314124,2522287,2616722,3974671,4074002,4141064,4503788,4518127,4658697,4801778,4990028,5422447,6255602,8124607,8312577,9156338,9380071,9518282,9602924,9880082,9895925,10632007,10810567,11524087,11722865,11875110,12047858,12058471,12268268,12666784,12769298,13302847,13835071,13850378,14067438,14250132,15413228,16746950,16886985,17085842,17718247,17893927,18012784,18070124,19471807,19810581,19952018,20096340,20264382,20309642,20345887,20888014,21392407,21436096,22095602,22452362,22808978,23584025,23853548,23997367,24094124,24115608,24862087,27130059,27431882,27458828,27788671,27818745,28300830,28645471,29203442,29673328,29840020,30012607,30187552,30864727,30887465,31056908,31126821,31205071,31324562,32563567,32733548,32956773,33278145,33382494,33930188,33960996,34412937,35496688,35808024,35939647,36253682,36955538,37037708,37064958,37669317,38452807,39889797,39901388,39933774,40284027,40949767,41778487,41925512,42046124,42109471,42201098,42628600,43236524,43265647,43760071,44089327,44124950,44183985,44844425,45312981,45403471,45494345,45614924,46218613,46222471,46549567,46586337,46721042,47129584,47166201,47703944,47752748,47957175,48531065,49144778,49146065,49176524,49480471,50599148,50871698,51154320,51905071,52227127,52250642,52730924,52949940,53020782,53666937,53813310,53893301,53944025,54313471,54564608,54593214,54633367,54860108,55112671,55459925,56228527,56387647,56479936,57091875,57400864,57458924,57548610,57974887,58237278,58607767,58765807,58769162,58975278,59484785,60816842,60898000,60970807,60996524,61385184,61561913,62409548,62843001,62859338,63317647,63539928,63547112,63878642,64575972,64732830,64762028,64983944,65028367,65467148,65913362,66026590,66551910,67194501,68423671,68510250,68658945,69048352,69058332,69960869,70160588,70304138,70718671,70988704,71372985,71381742,71482419,71490501,71800268,71936047,72994058,72997471,73077600,73106937,73236208,73672268,73977761,74055367,74670578,74808847,74959327,75308588,75340178,75516665,75674762,75710647,76009202,76131184,76889029,76990430,77679396,77949440,77953807,78995071,79231908,79406457,79862292,81449637,81509167,82212300,82390734,82978327,83417671,83610344,83992562,84323402,84396524,84678341,85039112,85647582,86473534,86486828,87053671,87634545,87693120,87945590,88512837,88624745,89268722,89269868,89597258,90205701,90359047,90619998,92352367,92388516,93476848,93485071,93539328,93855122,94061637,94190671,94323700,94546401,94591148,94849377,95486282,95669001,95750745,95812082,96296671,96576247,96727433,97273927,97701097,97763858,97867257,98052428,98108767,98386471,98654760,99434924,99773653,...,17600415650845931340959893639331407815160524591556055876773458095901465989176042942367813395721970100428601426721164833266720000204629249761843956373491718732110098168602360691223074375956447174657647164720852796045496825804523254150279131771574624430812349305371561559777216618334327730118478842696726746873016746784478116197738909678374215038203935996027515425130687058901215738962113905368529470327846424095340371089570154770549969607764039650782272527520225075214554884204318453991580588024619149972057055124758497567398306234445867390954516051230287978577537639668712580677808517061452955927697825345578476143655191476985914560940553221299474886698612425507594222180177302464309545222713966951871424327224504984731953599340369163017659587194182507508748977261744929714799866231909029077740846935884224289138453164574145029951024756829915686637743673787111651044932415834834953990296817738919283828283950217338499796319857298060663068754455063835199930116066683425170065816855324997999858504773969336525334183085505365383650054524225268763920885354213848660950939907366457750858462358648638939907963908624841621755629476907314093449711529289424736628474930605384437910497653888698136162191032418423059278137071046900164508626167984923939752454412657025779209354749519895384952430957957114955082815645962095204887763240368730661930386437734461071366670058076140917498620582573563706859393040197411118684235123826849163138597634510537867595338942364221402795442478901722934864019216676450427994899595840103000042187373269427795521218566259311324948486432467660370265993157452466651141982812900386437315556289943801206209163166130415854001487797668765210513569346273799779671205912858385673993599341443681077193193200819426175836906568806491217086126425977517108635571587284634208944630904823015871828788670296986770163809878337429203407400450180741698282476424163232126533209214577897000826290518651056043427440108190836948018238540621602504680384810129585081299180688207266717943663843324410655720074537636005242413882635022911009294274391341339846960182946202931982435797922436610442637558471843413130726799795764797691227870339396313577984786879360185114666190356932798154626223648151487350408159937419750135164271912548176204929420384172600183841970716760244898408736633096059842321507314769831286523679885962150588366783835559437764740306909368975274198840377220140361619179336476958779916036160102926790055949583814362645538328568578969323581099316871644993229238480884299395377551289641179982673245548766667927812037597682833289494401565507559804975567315330948046778574757815673983927681935226406232563308680254286055386426658803560173088277384829632238339646660654705420175822508074024783928833196283096414637291647435279769172989027206937415640957208005193426381137470324995340147384178931259658264840836122176824436544724533202337389941707526261695759227126836386729436088659237052732322372539804255427825012543621454950232073260852004163333107436820741029094563361329444100451859360739688373112844053735451700474104752499966960630761769544104762116442538115324339749742352890331497526549293466130641462978966381856223881210839842009396600582408579527266732962216233341778575544771856370762316562926367128241213331886831840390363615481938828201666740970086738080193643473072771304807506255348536245392339997229036797144868494805478889468513221654269331557537940495578652639214715045593836222389872622541435367027304005636347084101573988765360777993573204095756014653410353492425706852319623512040455863128380126906198617545651863040798949451931127468192348061990495467276715062063599710646254234568752744869288388095738824856311771480837048910798981717727497924700405038091948180540477019542501493719582978197789011689207932659804152218358580431839490900548218137687725406914170571330655591904491627033861803097678534160256890230624570628473042182008023105459889101859834040896399125728388059107026526890311091037017445446245196664951262503945240746197844711546197899378381649680871056326229229177169707552231465646086458989178633015101287862005622462241606879092258349162921323070731882200777446821885210992286097777918395055040230201072317188960876307764756170808632388916851034533337023239162172572744090983076416737049254279380012580867042760836997879173008304323692767612752464627270438212838507112330243149089561219386851440512285948835191986174592611012420858886817129641829487791046955585875296021896395993696532807318510985215087667938156418616555309368824714705565136071195125482963232728957517508175853896401478423621877098135374464978881934626415640907823249087574006637384449607551108995432105245932800181789729965500868652324147496738121875266146755111536597564959625979790684507596691685661854436860757001976960753654523268724751661985946840424027268446662717852123994759212552631932539034696344781780590344277082694084}
30473 1192371495720958306827489781204252415722055343233080628303853820576812204999387269779322: {121876,243736,274203,2892655,3471186,3623431,3925083,4354207,5176330,5629735,6111003,6211596,6237535,6755682,7202667,7368658,7485042,9383403,10376971,11083436,11472487,12003655,13298347,13734507,14277423,14404386,14820123,15000511,15335335,15761186,15833480,16095883,17812665,18071787,18402402,18756584,19000176,19153947,19266535,19414978,19731547,20775567,21101157,21375198,22515980,22587655,23119842,23735371,23797042,24402367,24524162,25120425,25628763,25964162,26414108,26795120,27019176,27105186,27393103,28049047,29816935,29928027,30117655,30144510,30396573,30464463,31059602,31332021,32154144,32865643,33143403,33678543,34213467,34323535,34613071,35780322,36141186,36149167,36173412,36684823,37091660,37300025,37734440,38821135,40916935,41147823,41188242,41238386,41240587,41502428,41740951,42412735,42451245,42635767,43805163,43942364,44370860,44509992,44579743,44760030,45281328,45883916,45945271,46297135,46363867,46585362,46710967,46986843,47467618,47744032,49100322,49419944,49683007,49876735,49929127,50073741,50225756,50895282,50941494,51087271,52406890,52557655,52846471,52941122,53186396,53245032,53285750,53575807,53712036,54005263,54045655,54380523,55433307,55556562,55597437,55603723,56232991,56860951,57018655,57970603,58911980,59629930,59690935,59852082,59900661,60417308,61470655,61695451,62115116,62888268,63069186,63248935,63301647,63599371,63942900,64081682,64261087,64854786,65142127,65766103,65913655,66187425,66614786,68205760,68422386,68575135,69744482,70081563,70446338,70599920,70612951,70694376,71555916,71629122,71751080,71823655,71892043,72790952,73159051,73717167,73764786,74409223,75157927,75442642,75473947,75898722,76064887,76122500,76245655,76307547,76731480,76767631,77649704,78011935,78375963,78633704,79096386,79424910,79433890,79456267,79531173,80719965,80952535,81229930,81792242,81833935,81846912,81889821,82290162,82475746,83412571,83790668,83941903,84207691,84719904,85300903,85366111,86101296,86188386,86310440,86322915,87355917,87700735,88127851,88153743,88462917,88573483,88735880,89367362,89592668,89750335,90628567,91225263,91347000,91351147,91393522,91494786,91545260,92077776,92090335,93289471,93415786,93614322,94135735,94289007,94412402,94997671,95163980,95175656,95309892,95320668,95516263,95817963,96704162,96863958,97099245,97143042,97234687,97436800,97475916,98200722,98870043,99039885,99827865,99932671,...,26400623476268897011439840458997111722740786887334083815160187143852198983764064413551720093582955150642902140081747249900080000306943874642765934560237578098165147252903541036834611563934670761986470747081279194068245238706784881225418697657361936646218523958057342339665824927501491595177718264045090120309525120176717174296608364517561322557305903994041273137696030588351823608443170858052794205491769636143010556634355232155824954411646059476173408791280337612821832326306477680987370882036928724958085582687137746351097459351668801086431774076845431967866306459503068871016712775592179433891546738018367714215482787215478871841410829831949212330047918638261391333270265953696464317834070950427807136490836757477097930399010553744526489380791273761263123465892617394572199799347863543616611270403826336433707679746861217544926537135244873529956615510680667476567398623752252430985445226608378925742425925326007749694479785947090994603131682595752799895174100025137755098725282987496999787757160954004788001274628258048075475081786337903145881328031320772991426409861049686626287693537972958409861945862937262432633444215360971140174567293934137104942712395908076656865746480833047204243286548627634588917205606570350246762939251977385909628681618985538668814032124279843077428646436935672432624223468943142807331644860553095992895579656601691607050005087114211376247930873860345560289089560296116678026352685740273744707896451765806801393008413546332104193163718352584402296028825014675641992349393760154500063281059904141693281827849388966987422729648701490555398989736178699976712974219350579655973334434915701809313744749195623781002231696503147815770354019410699669506808869287578510990399012165521615789789801229139263755359853209736825629189638966275662953357380926951313416946357234523807743183005445480155245714817506143805111100675271112547423714636244848189799813821866845501239435777976584065141160162286255422027357810932403757020577215194377621948771032310900076915495764986615983580111806454007863620823952534366513941411587012009770440274419304397973653696883654915663956337707765119696090199693647196536841805509094470366977180319040277671999285535399197231939335472227231025612239906129625202746407868822264307394130576258900275762956075140367347613104949644089763482260972154746929785519828943225882550175753339156647110460364053462911298260565830210542428769004715438169874054240154390185083924375721543968307492852868453985371648975307467489843857721326449093066326934461769974009868323150001891718056396524249934241602348261339707463350972996422070167862136723510975891522902839609348844963020381429083079639988205340259632416077244448357509469990982058130263733762111037175893249794424644621955937471152919653759483540810406123461435812007790139571706205487493010221076268396889487397261254183265236654817086799803506084912561289392543638840690254580094154132988855579098483558809706383141737518815432182425348109891278006244999661155231111543641845041994166150677789041109532559669266080603177550711157128749950440946142654316157143174663807172986509624613529335497246289823940199195962194468449572784335821816259763014094900873612869290900099443324350012667863317157784556143474844389550692361819997830247760585545423222908242302500111455130107120290465209609156957211259383022804368088509995843555195717302742208218334202769832481403997336306910743367978958822072568390754333584808933812153050540956008454520626152360983148041166990359806143634021980115530238638560278479435268060683794692570190359297926318477794561198424177896691202288522092985743200915072593095399565969381351853129117303932582143608237284467657221255573366198472576591246887050607557137922270810715529313752240579374467296683517533811898989706228327537870647759236350822327206531588110371255856995983387856737440550792704646517801240385335345936855942709563273012034658189833652789751061344598688592582088660539790335466636555526168169367794997426893755917861119296767067319296849067572474521306584489343843765754561328347198469129688483767949522651931793008433693362410318638387523744381984606097823301166170232827816488429146666877592582560345301608475783441314461647134256212948583375276551800005534858743258859116136474614625105573881419070018871300564141255496818759512456485539151419128696940905657319257760668495364723634341829080277160768428923252787979261888916518631288330225694462744231686570433378812944032844593990544799210977766477822631501907234627924832964053237072058347704106792688224444849093436276262263780844602217635432815647203061697468322901939623461361734873631361009956076674411326663493148157868899200272684594948251302978486221245107182812899220132667304896347439438969686026761395037528492781655291135502965441130481784903087127492978920260636040902669994076778185992138818828947898808552044517172670885516415624041126}
30474 1196048134651229884916624960362133019989232679549883406302581070642417367499329825490890: {152345,182814,213269,304670,365604,1308533,1400654,1430069,2158613,2495342,2522453,3249269,3854069,4578773,4628248,5044574,5061269,5206779,5233444,5483033,7046153,7585973,7764495,7945493,7949342,8148004,8185013,8282128,8364569,8843033,9007576,9036254,9317394,9440393,9603556,9980056,10133523,10156169,10844894,11052987,11227563,11524853,12511204,13835993,13854295,13895093,14721653,16249214,16370069,16412011,16625154,16663769,17719433,17953673,18129269,18312676,18760142,19036564,19122953,19205848,19760164,19791850,21264014,21606579,21621134,21800153,22321973,22495769,23048174,23445730,23641779,23750220,24056693,24095716,24116942,24536536,25333568,25538596,25554293,26243669,26605694,26817269,27603603,27670142,27676169,27700756,27962069,28134876,28144975,28500264,29122467,29217653,30071513,30355733,30826456,30923573,31263893,31943669,32056853,32062797,33017635,33493900,33773970,34088693,34171684,34313813,34679763,34763669,35436494,35695563,35773973,35787854,35998133,36025568,36140248,36786243,37452053,37954073,38121269,38511113,38678069,38943614,38946243,39621162,39904036,39955673,40192680,40528764,40619284,40657779,40691774,41776028,42002069,42112373,42167513,42784814,42872192,43242451,44191204,44904724,44914313,45216765,45617956,46364575,46389269,46589403,47168050,47206169,47707096,47749769,47994734,48021269,48188248,48231216,49483913,49537973,49724174,50994569,51263669,51878035,51908693,52445333,52874069,53409269,53516213,53670483,53676569,54211779,54260118,54317273,54863764,54917656,54927955,55169753,55463575,55577342,55637490,56601660,56868569,57239093,57290942,57354895,57662069,58406884,58611893,59085833,59243669,59346656,59680040,60025214,60375104,61729454,61774930,61782363,61857579,62113816,62253642,62410142,62649124,62782195,63692083,64100873,64619033,65084693,65127134,65467096,65913546,66117173,66482995,66556290,66764988,66786569,67140045,67197833,67813769,67860376,67921992,67943491,67967573,68582069,68804491,68825874,69246473,69348569,69878043,70469513,70723733,70993376,71201427,71383769,71616048,71879294,72244853,72507364,73639975,73650483,73658069,73909769,73911076,74075416,74129916,74261813,74563253,75165269,75265493,75338634,75521635,75766133,76016153,76342923,76412241,76905614,76914569,77512073,77643895,78554933,78610335,78901769,79411683,79779594,79802776,79867548,79928625,80568054,81899534,82681027,83278699,83326169,83334843,83556974,83851024,84057269,84092248,84218942,84402196,85257200,85756169,86473048,86531294,87060053,87349013,87428263,87520142,87781913,88178654,88249900,88367970,89444895,89688850,89778123,90413333,90625962,90794069,90806942,90988690,91229848,91364213,92217269,92359193,92437226,92444942,93099134,93172674,93397769,93442084,93539093,94259168,94332402,94603779,95042069,95153125,95407888,95505496,95510069,95914350,96070613,96122523,96303833,96350453,96583433,97048793,97062130,97282179,98289556,98292130,98353048,98440073,98856053,98960942,98994569,99922179,...,39600935214403345517159760688495667584111180331001125722740280715778298475646096620327580140374432725964353210122620874850120000460415811964148901840356367147247720879355311555251917345902006142979706120621918791102367858060177321838128046486042904969327785937086013509498737391252237392766577396067635180464287680265075761444912546776341983835958855991061909706544045882527735412664756287079191308237654454214515834951532848233737431617469089214260113186920506419232748489459716521481056323055393087437128374030706619526646189027503201629647661115268147951799459689254603306525069163388269150837320107027551571323224180823218307762116244747923818495071877957392086999905398930544696476751106425641710704736255136215646895598515830616789734071186910641894685198838926091858299699021795315424916905605739504650561519620291826317389805702867310294934923266021001214851097935628378646478167839912568388613638887989011624541719678920636491904697523893629199842761150037706632648087924481245499681635741431007182001911942387072113212622679506854718821992046981159487139614791574529939431540306959437614792918794405893648950166323041456710261850940901205657414068593862114985298619721249570806364929822941451883375808409855525370144408877966078864443022428478308003221048186419764616142969655403508648936335203414714210997467290829643989343369484902537410575007630671317064371896310790518340433634340444175017039529028610410617061844677648710202089512620319498156289745577528876603444043237522013462988524090640231750094921589856212539922741774083450481134094473052235833098484604268049965069461329025869483960001652373552713970617123793435671503347544754721723655531029116049504260213303931367766485598518248282423684684701843708895633039779814605238443784458449413494430036071390426970125419535851785711614774508168220232868572226259215707666651012906668821135571954367272284699720732800268251859153666964876097711740243429383133041036716398605635530865822791566432923156548466350115373243647479923975370167709681011795431235928801549770912117380518014655660411628956596960480545325482373495934506561647679544135299540470794805262708263641705550465770478560416507998928303098795847909003208340846538418359859194437804119611803233396461091195864388350413644434112710551021419657424466134645223391458232120394678279743414838823825263630008734970665690546080194366947390848745315813643153507073157254811081360231585277625886563582315952461239279302680978057473462961201234765786581989673639599490401692654961014802484725002837577084594786374901362403522392009561195026459494633105251793205085266463837284354259414023267444530572143624619459982308010389448624115866672536264204986473087195395600643166555763839874691636966932933906206729379480639225311215609185192153718011685209357559308231239515331614402595334231095891881274897854982225630199705259127368841934088815458261035381870141231199483283368647725338214559574712606278223148273638022164836917009367499491732846667315462767562991249226016683561664298839503899120904766326066735693124925661419213981474235714761995710759479764436920294003245869434735910298793943291702674359176503732724389644521142351310419303936350149164986525019001794975736676834215212266584326038542729996745371640878318134834362363453750167182695160680435697814413735435816889074534206552132764993765332793575954113312327501304154748722105996004460366115051968438233108852586131500377213400718229575811434012681780939228541474722061750485539709215451032970173295357957840417719152902091025692038855285538946889477716691841797636266845036803432783139478614801372608889643099348954072027779693675955898873215412355926701485831883360049297708864886870330575911335706883406216073293970628360869061700945025276300717848484559342491306805971638854526233490809797382165556883785493975081785106160826189056969776701860578003018905283914064344909518051987284750479184626592016898032888873132990809685503199954833289252254051692496140340633876791678945150600978945273601358711781959876734015765648631841992520797703694532725651924283977897689512650540043615477957581285616572976909146734951749255349241724732643720000316388873840517952412713675161971692470701384319422875062914827700008302288114888288674204711921937658360822128605028306950846211883245228139268684728308727128693045411358485978886641002743047085451512743620415741152643384879181968892833374777946932495338541694116347529855650068219416049266890985817198816466649716733947252860851941887249446079855608087521556160189032336667273640154414393395671266903326453149223470804592546202484352909435192042602310447041514934115011616989995239722236803348800409026892422376954467729331867660774219348830199000957344521159158454529040142092556292739172482936703254448161695722677354630691239468380390954061354004991115167278988208228243421848212828066775759006328274623436061689}
30475 1199736044785206343669611271975008818729370708580306359002758079689906093165747745019348: {243752,274221,457005,487472,548406,2100981,3743013,4049717,5145881,5785310,6541805,6942372,7246862,7566861,7850166,7881629,8708414,8732549,10185005,10352660,11259470,11924013,12004445,12222006,12263693,12383789,12423192,12475070,13511364,13554381,13976091,14405334,14737316,14970084,15639005,16035029,16267341,16765277,16805117,18766806,20400413,20753942,21469469,22166872,22890845,22944974,23319101,23795705,24007310,24373821,24403973,24700205,24937731,26596694,26973149,27469014,28050893,28140213,28554846,28808772,28839161,29640246,29687775,30001022,30119645,30615821,30670670,31522372,31622717,31666960,31896021,31923245,32191766,32401589,32431701,34572261,34615349,34625945,35168595,35625330,36143574,36175413,36804804,37513168,37912541,38000352,38307894,38533070,38642213,38685197,38829956,39463094,39908541,41505213,41551134,41743709,41867375,42164717,42202314,42638573,42714605,42750396,45031960,45175310,46239684,47470742,47594084,48052949,48804734,49048324,49880045,49932413,50240850,50349893,50660955,50774105,51257526,51350597,51928324,52220035,52340189,52828216,52849949,53154741,53579333,53590240,53681781,54038352,54210372,54349589,54786206,54793661,55239005,56098094,56130905,56189261,57022445,57283709,58415421,58716281,59377829,59431743,59633870,59856054,60235310,60289020,60793146,60928926,61037661,62119204,62664042,62848637,64177221,64265333,64308288,64815989,65731286,66286806,67357086,68426934,68579705,68647070,69226142,69570797,69827429,70217213,70752075,71560644,71643797,71992101,72282372,72298334,72346824,73008605,73369646,73580717,74181173,74183320,74586261,74600050,75162893,75468880,75663917,75944921,77642270,77798069,78311405,78920357,79774109,79826117,80121173,81390177,81833870,82295646,82376484,82476772,82481174,83004856,83366013,83418149,83456235,83481902,83567309,84825470,84902490,85271534,85799117,85936413,86058917,87062189,87610326,87884728,88548509,88741720,89019984,89159486,89520060,90037821,90562656,90634205,91253429,91767832,91890542,91979789,92279117,92388845,92594181,92594270,92662395,92727734,93170724,93380463,93421934,93615213,93817421,93902861,93953453,93973686,94935236,95488064,96005189,96878813,96910661,97690701,98200644,98578493,98839888,98870319,99366014,99753470,99834435,99858254,...,52801246952537794022879680917994223445481573774668167630320374287704397967528128827103440187165910301285804280163494499800160000613887749285531869120475156196330294505807082073669223127869341523972941494162558388136490477413569762450837395314723873292437047916114684679331649855002983190355436528090180240619050240353434348593216729035122645114611807988082546275392061176703647216886341716105588410983539272286021113268710464311649908823292118952346817582560675225643664652612955361974741764073857449916171165374275492702194918703337602172863548153690863935732612919006137742033425551184358867783093476036735428430965574430957743682821659663898424660095837276522782666540531907392928635668141900855614272981673514954195860798021107489052978761582547522526246931785234789144399598695727087233222540807652672867415359493722435089853074270489747059913231021361334953134797247504504861970890453216757851484851850652015499388959571894181989206263365191505599790348200050275510197450565974993999575514321908009576002549256516096150950163572675806291762656062641545982852819722099373252575387075945916819723891725874524865266888430721942280349134587868274209885424791816153313731492961666094408486573097255269177834411213140700493525878503954771819257363237971077337628064248559686154857292873871344865248446937886285614663289721106191985791159313203383214100010174228422752495861747720691120578179120592233356052705371480547489415792903531613602786016827092664208386327436705168804592057650029351283984698787520309000126562119808283386563655698777933974845459297402981110797979472357399953425948438701159311946668869831403618627489498391247562004463393006295631540708038821399339013617738575157021980798024331043231579579602458278527510719706419473651258379277932551325906714761853902626833892714469047615486366010890960310491429635012287610222201350542225094847429272489696379599627643733691002478871555953168130282320324572510844054715621864807514041154430388755243897542064621800153830991529973231967160223612908015727241647905068733027882823174024019540880548838608795947307393767309831327912675415530239392180399387294393073683611018188940733954360638080555343998571070798394463878670944454462051224479812259250405492815737644528614788261152517800551525912150280734695226209899288179526964521944309493859571039657886451765100351506678313294220920728106925822596521131660421084857538009430876339748108480308780370167848751443087936614985705736907970743297950614934979687715442652898186132653868923539948019736646300003783436112793048499868483204696522679414926701945992844140335724273447021951783045805679218697689926040762858166159279976410680519264832154488896715018939981964116260527467524222074351786499588849289243911874942305839307518967081620812246922871624015580279143412410974986020442152536793778974794522508366530473309634173599607012169825122578785087277681380509160188308265977711158196967117619412766283475037630864364850696219782556012489999322310462223087283690083988332301355578082219065119338532161206355101422314257499900881892285308632314286349327614345973019249227058670994492579647880398391924388936899145568671643632519526028189801747225738581800198886648700025335726634315569112286949688779101384723639995660495521171090846445816484605000222910260214240580930419218313914422518766045608736177019991687110391434605484416436668405539664962807994672613821486735957917644145136781508667169617867624306101081912016909041252304721966296082333980719612287268043960231060477277120556958870536121367589385140380718595852636955589122396848355793382404577044185971486401830145186190799131938762703706258234607865164287216474568935314442511146732396945153182493774101215114275844541621431058627504481158748934593367035067623797979412456655075741295518472701644654413063176220742511713991966775713474881101585409293035602480770670691873711885419126546024069316379667305579502122689197377185164177321079580670933273111052336338735589994853787511835722238593534134638593698135144949042613168978687687531509122656694396938259376967535899045303863586016867386724820637276775047488763969212195646602332340465655632976858293333755185165120690603216951566882628923294268512425897166750553103600011069717486517718232272949229250211147762838140037742601128282510993637519024912971078302838257393881811314638515521336990729447268683658160554321536857846505575958523777833037262576660451388925488463373140866757625888065689187981089598421955532955645263003814469255849665928106474144116695408213585376448889698186872552524527561689204435270865631294406123394936645803879246922723469747262722019912153348822653326986296315737798400545369189896502605956972442490214365625798440265334609792694878877939372053522790075056985563310582271005930882260963569806174254985957840521272081805339988153556371984277637657895797617104089034345341771032831248082252}
30476 1203435260476113008601410868088330865925885097704960028473921311061479823842279780399489: {213283,304690,365628,426538,609340,731208,822609,2219419,2617066,2801308,2860138,3310003,4317226,4760083,4941019,4990684,5044906,6498538,6746419,7708138,8677965,9157546,9256496,9261883,10089148,10122538,10156843,10413558,10466888,10870293,10966066,11050003,11228419,11406763,11775249,12940825,13062621,13896019,14092306,14604643,15171946,15528990,15890986,15898684,16296008,16370026,16564256,16729138,16889205,17686066,18015152,18072508,18306019,18333009,18421645,18634788,18712605,18880786,19182619,19207112,19396013,19960112,20057419,20267046,20312338,21608001,21689788,22105974,22455126,23049706,25022408,25958323,26819083,27671986,27708590,27790186,28150209,29443306,30414619,30585043,31130913,31945843,32115619,32498428,32740138,32824022,33132763,33250308,33327538,34417461,35438866,35907346,36010965,36258538,36625352,37520284,37845163,38012419,38073128,38245906,38411696,39402965,39520328,39583700,39895041,40678723,41203521,42170419,42335803,42528028,42832269,43213158,43242268,43600306,44460369,44643619,44643946,44807923,44991538,45001533,45300403,46006005,46096348,46119763,46224689,46447003,46891460,47283558,47500440,47916019,48078883,48113386,48191432,48233884,48287649,48537445,49073072,49541419,50189563,50351419,50667136,51077192,51108586,51321043,52487338,53211388,53437995,53573419,53634538,53733763,54215361,55207206,55340284,55352338,55401512,55924138,56269752,56289950,56925523,57000528,57461841,57718963,57799605,58244934,58435306,59142619,59194641,59300443,59492605,60143026,60711466,61310405,61652912,61659163,61847146,62326701,62527786,63303471,63887338,64113706,64125594,64623619,64910405,66035270,66791323,66987800,67099843,67547940,67762965,68177386,68343368,68627626,69359526,69527338,70872988,71206113,71388883,71391126,71547946,71575708,71996266,72051136,72280496,72300619,72629249,73207101,73572486,73965403,74417923,74568619,74904106,75321019,75361275,75908146,76242538,76886289,76899137,77022226,77356138,77567419,77649005,77887228,77892486,79242324,79808072,79911346,80296853,80385360,81057528,81238568,81315558,81383548,82179309,82892683,83552056,83624923,84004138,84063403,84147141,84224746,84335026,84355363,84689473,85084003,85569628,85744384,86484902,87692203,87895073,88382408,89450805,89784081,89809448,89828626,90352965,90433530,91189719,91235912,91393389,91418419,92729150,92778538,92838619,93076193,93178806,93996063,94336100,94412338,94814803,95095963,95414192,95499538,95989468,96042538,96357619,96376496,96462432,96740149,97056019,97613443,97713941,97752619,98596929,98967826,99075946,99430209,99448348,99969643,...,79201870428806691034319521376991335168222360662002251445480561431556596951292193240655160280748865451928706420245241749700240000920831623928297803680712734294495441758710623110503834691804012285959412241243837582204735716120354643676256092972085809938655571874172027018997474782504474785533154792135270360928575360530151522889825093552683967671917711982123819413088091765055470825329512574158382616475308908429031669903065696467474863234938178428520226373841012838465496978919433042962112646110786174874256748061413239053292378055006403259295322230536295903598919378509206613050138326776538301674640214055103142646448361646436615524232489495847636990143755914784173999810797861089392953502212851283421409472510272431293791197031661233579468142373821283789370397677852183716599398043590630849833811211479009301123039240583652634779611405734620589869846532042002429702195871256757292956335679825136777227277775978023249083439357841272983809395047787258399685522300075413265296175848962490999363271482862014364003823884774144226425245359013709437643984093962318974279229583149059878863080613918875229585837588811787297900332646082913420523701881802411314828137187724229970597239442499141612729859645882903766751616819711050740288817755932157728886044856956616006442096372839529232285939310807017297872670406829428421994934581659287978686738969805074821150015261342634128743792621581036680867268680888350034079058057220821234123689355297420404179025240638996312579491155057753206888086475044026925977048181280463500189843179712425079845483548166900962268188946104471666196969208536099930138922658051738967920003304747105427941234247586871343006695089509443447311062058232099008520426607862735532971197036496564847369369403687417791266079559629210476887568916898826988860072142780853940250839071703571423229549016336440465737144452518431415333302025813337642271143908734544569399441465600536503718307333929752195423480486858766266082073432797211271061731645583132865846313096932700230746487294959847950740335419362023590862471857603099541824234761036029311320823257913193920961090650964746991869013123295359088270599080941589610525416527283411100931540957120833015997856606197591695818006416681693076836719718388875608239223606466792922182391728776700827288868225421102042839314848932269290446782916464240789356559486829677647650527260017469941331381092160388733894781697490631627286307014146314509622162720463170555251773127164631904922478558605361956114946925922402469531573163979347279198980803385309922029604969450005675154169189572749802724807044784019122390052918989266210503586410170532927674568708518828046534889061144287249238919964616020778897248231733345072528409972946174390791201286333111527679749383273933865867812413458758961278450622431218370384307436023370418715118616462479030663228805190668462191783762549795709964451260399410518254737683868177630916522070763740282462398966566737295450676429119149425212556446296547276044329673834018734998983465693334630925535125982498452033367123328597679007798241809532652133471386249851322838427962948471429523991421518959528873840588006491738869471820597587886583405348718353007465448779289042284702620838607872700298329973050038003589951473353668430424533168652077085459993490743281756636269668724726907500334365390321360871395628827470871633778149068413104265529987530665587151908226624655002608309497444211992008920732230103936876466217705172263000754426801436459151622868025363561878457082949444123500971079418430902065940346590715915680835438305804182051384077710571077893778955433383683595272533690073606865566278957229602745217779286198697908144055559387351911797746430824711853402971663766720098595417729773740661151822671413766812432146587941256721738123401890050552601435696969118684982613611943277709052466981619594764331113767570987950163570212321652378113939553403721156006037810567828128689819036103974569500958369253184033796065777746265981619371006399909666578504508103384992280681267753583357890301201957890547202717423563919753468031531297263683985041595407389065451303848567955795379025301080087230955915162571233145953818293469903498510698483449465287440000632777747681035904825427350323943384941402768638845750125829655400016604576229776577348409423843875316721644257210056613901692423766490456278537369456617454257386090822716971957773282005486094170903025487240831482305286769758363937785666749555893864990677083388232695059711300136438832098533781971634397632933299433467894505721703883774498892159711216175043112320378064673334547280308828786791342533806652906298446941609185092404968705818870384085204620894083029868230023233979990479444473606697600818053784844753908935458663735321548438697660398001914689042318316909058080284185112585478344965873406508896323391445354709261382478936760781908122708009982230334557976416456486843696425656133551518012656549246872123378}
30477 1207145816181272798586594088740951063376520022636649572180440758883327480846696438054190: {457035,487504,548442,639807,761675,914010,974944,1096812,3501635,3925599,4201962,4290207,5693963,6238355,6475839,7486026,7567359,8099434,9158527,9747807,10291762,11562207,11570620,12611435,13083610,13736319,13884744,14259007,14493724,14635387,15002483,15133722,15183807,15620337,15700332,15763258,16097999,16449099,16806223,17416828,17465098,17921503,19873355,20370010,20705320,21138459,21894607,22518940,22590635,22757919,23293485,23836479,23848026,24008890,24109579,24444012,24527386,24555039,24767578,24846384,24950140,25093707,26529099,27022728,27108762,27112235,27952182,28321179,28810668,28841059,29474632,29940168,30400569,30468507,31278010,32047183,32070058,32534682,33158961,33313987,33530554,33610234,33682689,34574559,34580287,36679523,37533612,38292787,38687743,40527199,40623035,40800826,41507884,41507979,41562885,41621707,41685279,42167503,42938938,44164959,44333744,44692543,45781690,45889948,46638202,46900355,47591410,48014620,48476323,48747642,48807946,49110207,49236033,49400410,49479625,49875462,49991307,51995579,53158299,53160035,53193388,53861019,53946298,54052835,54387807,54938028,56101786,56192959,56280426,57109692,57368859,57617544,57620435,57647579,57678322,58296587,58559603,58614325,59280492,59375550,59504419,59800447,60002044,60239290,60292355,61231642,61341340,61856587,63044744,63245434,63333920,63792042,63846490,64383532,64803178,64819737,64863402,65400459,65592923,66514235,66965919,67487307,69144522,69175355,69230698,69251890,69832063,70337190,70622267,70925337,71083747,71250660,72170079,72287148,72350826,73108049,73609608,74368783,74683967,75026336,75825082,75949939,76000704,76615788,76662879,77066140,77284426,77334607,77370394,77659912,78583267,78731007,78856259,78926188,79817082,79831423,80072479,80451807,82021267,82810809,82983979,83010426,83028507,83102268,83487418,83734750,83886207,84329434,84404628,84434925,85277146,85429210,85500792,86001827,86950783,87367401,87377279,87487327,87652959,87668659,88591235,88886363,89352923,89469635,90063920,90214539,90350620,91067199,91363199,92479368,92770719,93791679,94148123,94688659,94941484,95188168,95831007,96011587,96105898,96170559,96188391,97359035,97609468,98096648,98283443,99052905,99760090,99864826,...,118802805643210036551479282065487002752333540993003377168220842147334895426938289860982740421123298177893059630367862624550360001381247435892446705521069101441743162638065934665755752037706018428939118361865756373307103574180531965514384139458128714907983357811258040528496212173756712178299732188202905541392863040795227284334737640329025951507876567973185729119632137647583206237994268861237573924712963362643547504854598544701212294852407267642780339560761519257698245468379149564443168969166179262311385122092119858579938567082509604888942983345804443855398379067763809919575207490164807452511960321082654713969672542469654923286348734243771455485215633872176260999716196791634089430253319276925132114208765408646940686795547491850369202213560731925684055596516778275574899097065385946274750716817218513951684558860875478952169417108601930884804769798063003644553293806885135939434503519737705165840916663967034873625159036761909475714092571680887599528283450113119897944263773443736499044907224293021546005735827161216339637868038520564156465976140943478461418844374723589818294620920878312844378756383217680946850498969124370130785552822703616972242205781586344955895859163748712419094789468824355650127425229566576110433226633898236593329067285434924009663144559259293848428908966210525946809005610244142632992401872488931968030108454707612231725022892013951193115688932371555021300903021332525051118587085831231851185534032946130606268537860958494468869236732586629810332129712566040388965572271920695250284764769568637619768225322250351443402283419156707499295453812804149895208383987077608451880004957120658141911851371380307014510042634264165170966593087348148512780639911794103299456795554744847271054054105531126686899119339443815715331353375348240483290108214171280910376258607555357134844323524504660698605716678777647122999953038720006463406715863101816854099162198400804755577461000894628293135220730288149399123110149195816906592597468374699298769469645399050346119730942439771926110503129043035386293707786404649312736352141554043966981234886869790881441635976447120487803519684943038632405898621412384415788124790925116651397311435681249523996784909296387543727009625022539615255079577583313412358835409700189383273587593165051240933302338131653064258972273398403935670174374696361184034839230244516471475790890026204911997071638240583100842172546235947440929460521219471764433244080694755832877659690746947857383717837908042934172420388883603704297359745969020918798471205077964883044407454175008512731253784359124704087210567176028683585079378483899315755379615255799391511853062778242069802333591716430873858379946924031168345872347600017608792614959419261586186801929499667291519624074910900798801718620188138441917675933646827555576461154035055628072677924693718545994843207786002693287675643824693564946676890599115777382106525802266446374783106145610423693598449850105943176014643678724137818834669444820914066494510751028102498475198540001946388302688973747678050050684992896518511697362714298978200207079374776984257641944422707144285987132278439293310760882009737608304207730896381829875108023077529511198173168933563427053931257911809050447494959575057005384927210030502645636799752978115628189990236114922634954404503087090361250501548085482041307093443241206307450667223602619656398294981295998380727862339936982503912464246166317988013381098345155905314699326557758394501131640202154688727434302038045342817685624424166185251456619127646353098910519886073873521253157458706273077076116565856616840668433150075525392908800535110410298349418435844404117826668929298046862216083339081027867696619646237067780104457495650080147893126594660610991727734007120650218648219881911885082607185102835075828902153545453678027473920417914916563578700472429392146496670651356481925245355318482478567170909330105581734009056715851742193034728554155961854251437553879776050694098666619398972429056509599864499867756762155077488421021901630375036835451802936835820804076135345879630202047296945895525977562393111083598176955772851933693068537951620130846433872743856849718930727440204855247766047725174197931160000949166621521553857238141025485915077412104152958268625188744483100024906864344664866022614135765812975082466385815084920852538635649735684417806054184926181386079136234075457936659923008229141256354538230861247223457930154637545906678500124333840797486015625082349042589566950204658248147800672957451596449399949150201841758582555825661748338239566824262564668480567097010001820920463243180187013800709979359447670412413777638607453058728305576127806931341124544802345034850969985719166710410046401227080677267130863403187995602982322658046490597002872033563477475363587120426277668878217517448810109763344485087168032063892073718405141172862184062014973345501836964624684730265544638484200327277018984823870308185067}
30478 1210867746462419834437502520641381448276834737871367657895722604958059094207764515813070: {335137,426566,609380,731256,822663,853076,883021,1218680,1371015,1430257,1462416,1645218,2704621,3975457,4156717,4438838,5234132,5602616,5720276,6302943,6620006,8485357,8634452,9520166,9561037,9882038,9981368,10089812,10812721,11229039,11704621,12149151,12594721,12950257,12997076,13483021,13492838,14015137,14463275,15416276,15437643,16665997,17355930,17897521,18117155,18315092,18512992,18523766,19125517,19625415,19650721,20178296,20245076,20313686,20827116,20933776,21396721,21740586,21771035,21932132,22100006,22456838,22614637,22700583,22813526,23550498,23644887,24002221,25790303,25881650,26125242,26197647,26935537,27792038,27794317,27965857,28148675,28184612,28822477,29209286,30343892,30555015,30871021,31057980,31187675,31781972,31797368,32061217,32592016,32740052,33128512,33458276,33755377,33778410,34599757,35372132,35772039,36013335,36030304,36145016,36612038,36666018,36791079,36843290,37151367,37269576,37289677,37425210,37761572,38365238,38414224,38792026,39920224,40114838,40534092,40624676,40663143,41928273,42118177,43216002,43379576,43439521,44211948,44910252,46099412,46395697,46722721,46917015,48105087,48802023,50044816,50295831,50415351,51884855,51916646,52881457,53523697,53638166,54484897,55124257,55164151,55343972,55417180,55580372,56300418,56399521,57362435,57987121,58778221,58886612,60018275,60355021,60829238,61170086,61201239,62261826,63891686,63954337,64231238,64408407,64731757,64996856,65480276,65648044,66265526,66491735,66500616,66655076,66898957,67952423,68591857,68672535,68834922,68898721,69358477,69957303,70733857,70877732,71387115,71814692,72021930,72517076,73121463,73211919,73250704,74100615,74674417,74813193,74975521,75002555,75040568,75276337,75690326,75727021,76024838,76027117,76146256,76491812,76676675,76823392,76925677,77224621,78805930,79012237,79040656,79167400,79790082,79902157,80479415,80641777,80919447,80937121,81357446,81674221,82407042,82409521,83289647,83435917,84152679,84340838,84420639,84671606,85056056,85664538,85834567,86426316,86484536,86517483,87200612,88920738,89063325,89287238,89287892,89615846,89663521,89983076,90003066,90358935,90600806,90874567,91377697,91847463,92012010,92192696,92239526,92449378,92894006,93505837,93647137,93782920,94211617,94567116,94868151,95000880,95056177,95688063,95757997,95769735,95832038,96157766,96226772,96332675,96382864,96467768,96575298,97074890,97156237,97204767,97295103,98146144,98547277,98657735,99082838,99101677,99516721,...,158403740857613382068639042753982670336444721324004502890961122863113193902584386481310320561497730903857412840490483499400480001841663247856595607361425468588990883517421246221007669383608024571918824482487675164409471432240709287352512185944171619877311143748344054037994949565008949571066309584270540721857150721060303045779650187105367935343835423964247638826176183530110941650659025148316765232950617816858063339806131392934949726469876356857040452747682025676930993957838866085924225292221572349748513496122826478106584756110012806518590644461072591807197838757018413226100276653553076603349280428110206285292896723292873231048464978991695273980287511829568347999621595722178785907004425702566842818945020544862587582394063322467158936284747642567578740795355704367433198796087181261699667622422958018602246078481167305269559222811469241179739693064084004859404391742513514585912671359650273554454555551956046498166878715682545967618790095574516799371044600150826530592351697924981998726542965724028728007647769548288452850490718027418875287968187924637948558459166298119757726161227837750459171675177623574595800665292165826841047403763604822629656274375448459941194478884998283225459719291765807533503233639422101480577635511864315457772089713913232012884192745679058464571878621614034595745340813658856843989869163318575957373477939610149642300030522685268257487585243162073361734537361776700068158116114441642468247378710594840808358050481277992625158982310115506413776172950088053851954096362560927000379686359424850159690967096333801924536377892208943332393938417072199860277845316103477935840006609494210855882468495173742686013390179018886894622124116464198017040853215725471065942394072993129694738738807374835582532159119258420953775137833797653977720144285561707880501678143407142846459098032672880931474288905036862830666604051626675284542287817469089138798882931201073007436614667859504390846960973717532532164146865594422542123463291166265731692626193865400461492974589919695901480670838724047181724943715206199083648469522072058622641646515826387841922181301929493983738026246590718176541198161883179221050833054566822201863081914241666031995713212395183391636012833363386153673439436777751216478447212933585844364783457553401654577736450842204085678629697864538580893565832928481578713118973659355295301054520034939882662762184320777467789563394981263254572614028292629019244325440926341110503546254329263809844957117210723912229893851844804939063146327958694558397961606770619844059209938900011350308338379145499605449614089568038244780105837978532421007172820341065855349137417037656093069778122288574498477839929232041557794496463466690145056819945892348781582402572666223055359498766547867731735624826917517922556901244862436740768614872046740837430237232924958061326457610381336924383567525099591419928902520798821036509475367736355261833044141527480564924797933133474590901352858238298850425112892593094552088659347668037469997966931386669261851070251964996904066734246657195358015596483619065304266942772499702645676855925896942859047982843037919057747681176012983477738943641195175773166810697436706014930897558578084569405241677215745400596659946100076007179902946707336860849066337304154170919986981486563513272539337449453815000668730780642721742791257654941743267556298136826208531059975061331174303816453249310005216618994888423984017841464460207873752932435410344526001508853602872918303245736050727123756914165898888247001942158836861804131880693181431831361670876611608364102768155421142155787557910866767367190545067380147213731132557914459205490435558572397395816288111118774703823595492861649423706805943327533440197190835459547481322303645342827533624864293175882513443476246803780101105202871393938237369965227223886555418104933963239189528662227535141975900327140424643304756227879106807442312012075621135656257379638072207949139001916738506368067592131555492531963238742012799819333157009016206769984561362535507166715780602403915781094405434847127839506936063062594527367970083190814778130902607697135911590758050602160174461911830325142466291907636586939806997021396966898930574880001265555495362071809650854700647886769882805537277691500251659310800033209152459553154696818847687750633443288514420113227803384847532980912557074738913234908514772181645433943915546564010972188341806050974481662964610573539516727875571333499111787729981354166776465390119422600272877664197067563943268795265866598866935789011443407767548997784319422432350086224640756129346669094560617657573582685067613305812596893883218370184809937411637740768170409241788166059736460046467959980958888947213395201636107569689507817870917327470643096877395320796003829378084636633818116160568370225170956689931746813017792646782890709418522764957873521563816245416019964460669115952832912973687392851312267103036025313098493744246756}
30479 1214601085986013986789161881040043308168352800528736504906753015793498549790019255033210: {639849,761725,914070,975008,1066345,1096884,1279614,1523350,1828020,1949888,2193624,2467827,4902289,6363841,6542665,6658257,6729229,7003270,7150345,7851198,8403924,8580414,8733697,9930009,10793065,11387926,12385417,12476710,12612265,12951678,13722577,14280249,14823057,14972052,15134718,16037137,16198868,16246345,16767481,17656009,18317054,19270345,19495614,20239257,20294809,20583524,22893865,23124414,23141240,25222870,25306345,26033895,26167220,26408041,27415165,27472638,27769488,27785649,27822697,28518014,28987448,29270774,30004966,30267444,30367614,30470529,30494209,31240674,31400664,31526516,31626889,32195998,32610879,32898198,33150009,33612446,33685257,33737737,34220289,34833656,34930196,35230765,35325747,35843006,36681937,37061257,37712749,37929865,37957129,38822475,39187863,39727465,39746710,40740020,40925065,40994761,41410640,41439289,41688057,41822845,42276918,42386377,43789214,43813929,44215165,45037880,45181270,45515838,46586970,46829449,47201965,47672958,47696052,48017780,48219158,48888024,49054772,49110078,49535156,49692768,49692841,49900280,50187414,50667615,50780845,51999001,53058198,53758141,54045456,54217524,54224470,54918057,54999027,55264935,55581481,55904364,56137815,56642358,56872249,57547857,57621336,57624265,57682118,58188039,58563457,58949264,59592829,59880336,60172257,60801138,60937014,61416169,62161249,62556020,64094366,64140116,64824003,65069364,65155009,65597257,65660497,66258841,66317922,66627974,67061108,67220468,67365378,68128957,69149118,69160574,69179965,69271475,69475465,71653249,73093369,73359046,73608265,74424049,75067224,75511777,75673969,76079929,76585574,76782829,77375486,77518909,77874969,78930769,80457249,80668609,81054398,81246070,81601652,81850345,82060055,83015768,83015958,83125770,83243414,83318845,83370558,84335006,84409297,84450627,85406497,85877876,88329918,88398337,88597165,88667488,89385086,89768365,90017257,90646345,90646489,91243857,91563380,91755129,91779896,93119929,93276404,93308017,93392739,93800710,94957609,95016457,95182820,95535169,95614765,95837529,95907901,96029240,96119689,96346857,96845497,96952646,97495284,97615892,98220414,98289937,98472066,98800820,98959250,99312589,99398289,99750924,99982614,...,237605611286420073102958564130974005504667081986006754336441684294669790853876579721965480842246596355786119260735725249100720002762494871784893411042138202883486325276131869331511504075412036857878236723731512746614207148361063931028768278916257429815966715622516081056992424347513424356599464376405811082785726081590454568669475280658051903015753135946371458239264275295166412475988537722475147849425926725287095009709197089402424589704814535285560679121523038515396490936758299128886337938332358524622770244184239717159877134165019209777885966691608887710796758135527619839150414980329614905023920642165309427939345084939309846572697468487542910970431267744352521999432393583268178860506638553850264228417530817293881373591094983700738404427121463851368111193033556551149798194130771892549501433634437027903369117721750957904338834217203861769609539596126007289106587613770271878869007039475410331681833327934069747250318073523818951428185143361775199056566900226239795888527546887472998089814448586043092011471654322432679275736077041128312931952281886956922837688749447179636589241841756625688757512766435361893700997938248740261571105645407233944484411563172689911791718327497424838189578937648711300254850459133152220866453267796473186658134570869848019326289118518587696857817932421051893618011220488285265984803744977863936060216909415224463450045784027902386231377864743110042601806042665050102237174171662463702371068065892261212537075721916988937738473465173259620664259425132080777931144543841390500569529539137275239536450644500702886804566838313414998590907625608299790416767974155216903760009914241316283823702742760614029020085268528330341933186174696297025561279823588206598913591109489694542108108211062253373798238678887631430662706750696480966580216428342561820752517215110714269688647049009321397211433357555294245999906077440012926813431726203633708198324396801609511154922001789256586270441460576298798246220298391633813185194936749398597538939290798100692239461884879543852221006258086070772587415572809298625472704283108087933962469773739581762883271952894240975607039369886077264811797242824768831576249581850233302794622871362499047993569818592775087454019250045079230510159155166626824717670819400378766547175186330102481866604676263306128517944546796807871340348749392722368069678460489032942951581780052409823994143276481166201684345092471894881858921042438943528866488161389511665755319381493895714767435675816085868344840777767207408594719491938041837596942410155929766088814908350017025462507568718249408174421134352057367170158756967798631510759230511598783023706125556484139604667183432861747716759893848062336691744695200035217585229918838523172373603858999334583039248149821801597603437240376276883835351867293655111152922308070111256145355849387437091989686415572005386575351287649387129893353781198231554764213051604532892749566212291220847387196899700211886352029287357448275637669338889641828132989021502056204996950397080003892776605377947495356100101369985793037023394725428597956400414158749553968515283888845414288571974264556878586621521764019475216608415461792763659750216046155059022396346337867126854107862515823618100894989919150114010769854420061005291273599505956231256379980472229845269908809006174180722501003096170964082614186886482412614901334447205239312796589962591996761455724679873965007824928492332635976026762196690311810629398653115516789002263280404309377454868604076090685635371248848332370502913238255292706197821039772147747042506314917412546154152233131713233681336866300151050785817601070220820596698836871688808235653337858596093724432166678162055735393239292474135560208914991300160295786253189321221983455468014241300437296439763823770165214370205670151657804307090907356054947840835829833127157400944858784292993341302712963850490710636964957134341818660211163468018113431703484386069457108311923708502875107759552101388197333238797944858113019199728999735513524310154976842043803260750073670903605873671641608152270691759260404094593891791051955124786222167196353911545703867386137075903240261692867745487713699437861454880409710495532095450348395862320001898333243043107714476282050971830154824208305916537250377488966200049813728689329732045228271531625950164932771630169841705077271299471368835612108369852362772158272468150915873319846016458282512709076461722494446915860309275091813357000248667681594972031250164698085179133900409316496295601345914903192898799898300403683517165111651323496676479133648525129336961134194020003641840926486360374027601419958718895340824827555277214906117456611152255613862682249089604690069701939971438333420820092802454161354534261726806375991205964645316092981194005744067126954950727174240852555337756435034897620219526688970174336064127784147436810282345724368124029946691003673929249369460531089276968400654554037969647740616370134}
30480 1218345869523556366087977029323060561258350638504598624315508222409530359108597473963378: {335159,396071,670274,853132,943919,1218760,1371105,1462512,1612631,1645326,1706152,1766042,1919421,2285025,2437360,2704799,2742030,2860514,2924832,3290436,3431471,4217399,4760711,5062271,5243111,5409242,6386759,6867431,7227599,7767311,7950914,8126759,8313434,8366231,8545751,8844791,8877676,9382559,10456151,10468264,10504905,11051471,11205232,11440552,11527151,11705399,11776797,12299039,12605886,12654839,12870621,13010351,13240012,14016071,14724599,15608639,16843271,16970714,17081889,17268904,17898719,17957279,18132911,18308471,18425471,18715065,19040332,19122074,19185191,19301951,19427517,19710359,19764076,19962736,20176631,20179624,20248585,20584199,21398159,21625442,21630431,21978599,22458078,22500311,22702077,23409242,23657351,24003839,24061559,24298302,24868799,25189442,25364017,25729405,25900514,25994152,26076719,26822711,26937359,26966042,26985676,27475581,28030274,28139231,28926550,29243421,29394551,30479449,30832552,30875286,30929879,31440359,32063399,32119991,32233151,32709025,32798471,33331994,33814031,34686621,34711860,34939391,35795042,35949479,36173591,36234310,36509519,36630184,36789239,37025984,37047532,37348079,37627199,37834305,37961879,38129111,38251034,38686031,39250830,39301442,39408145,40356592,40490152,40627372,41208957,41654232,41867552,42010751,42176231,42341639,42672239,42777021,42793442,43481172,43542070,43662745,43864264,43906161,44200012,44320919,44913676,44923631,45007449,45087839,45229274,45401166,45416039,45551421,45627052,45634679,46235279,46453439,46562471,46780439,46861011,47100996,47215991,47289774,47922671,48004442,48031271,48293997,49169639,49347297,49494239,50418669,50925025,51005231,51166751,51580606,51763300,51919559,52241711,52250484,52395294,52456319,53259959,53580911,53687831,53764509,53871074,54008399,54328679,54488711,55128119,55181351,55584076,55588634,55931714,56297350,56369224,56615591,57039431,57409871,57644954,58418572,58782359,59256191,59620065,60022225,60359279,60411719,60687784,61110030,61197359,61318465,61742042,61918945,62115960,62294231,62375350,63415377,63543479,63563944,63594736,64010759,64122434,64736351,65184032,65480104,65683821,66257024,66285911,66646439,66903719,66916552,66955151,67212191,67366319,67510754,67556820,67674359,67771905,67982111,68273757,69199514,69880455,70744264,70942199,71509437,71544078,71956679,72026670,72060608,72290032,72328737,72638797,73224076,73321151,73332036,73582158,73665117,73686580,73925711,74076671,74277839,74302734,74428631,74539152,74579354,74679791,74729999,74850420,75181511,75281121,75331871,75523144,75732479,75782519,76032599,76730476,76828448,77230199,77279999,77584052,78195025,78323951,79587297,79840448,79907951,80175145,80229676,80307409,80942999,81068184,81249352,81287231,81326286,81336705,81729239,82415519,82464479,83002511,83637119,83826385,83856546,84025585,84236354,84464951,84963537,85338959,86432004,86523177,86759152,86838119,86879042,87368231,87512639,87801239,88423896,89717879,89820504,91201707,91384439,91405521,91431911,91811399,92198824,92237711,92379671,92791394,93088429,93229919,93445442,93559871,93701159,93834030,94406519,95063231,95110079,95203751,95811839,96141549,96210174,97163471,97488719,97604046,98138039,99016751,99476883,99941961,...,356408416929630109654437846196461008257000622979010131504662526442004686280814869582948221263369894533679178891103587873651080004143742307677340116563207304325229487914197803997267256113118055286817355085597269119921310722541595896543152418374386144723950073433774121585488636521270136534899196564608716624178589122385681853004212920987077854523629703919557187358896412942749618713982806583712721774138890087930642514563795634103636884557221802928341018682284557773094736405137448693329506907498537786934155366276359575739815701247528814666828950037413331566195137203291429758725622470494422357535880963247964141909017627408964769859046202731314366455646901616528782999148590374902268290759957830775396342626296225940822060386642475551107606640682195777052166789550334826724697291196157838824252150451655541855053676582626436856508251325805792654414309394189010933659881420655407818303510559213115497522749991901104620875477110285728427142277715042662798584850350339359693832791320331209497134721672879064638017207481483649018913604115561692469397928422830435384256533124170769454883862762634938533136269149653042840551496907373110392356658468110850916726617344759034867687577491246137257284368406473066950382275688699728331299679901694709779987201856304772028989433677777881545286726898631577840427016830732427898977205617466795904090325364122836695175068676041853579347066797114665063902709063997575153355761257493695553556602098838391818805613582875483406607710197759889430996389137698121166896716815762085750854294308705912859304675966751054330206850257470122497886361438412449685625151961232825355640014871361974425735554114140921043530127902792495512899779262044445538341919735382309898370386664234541813162162316593380060697358018331447145994060126044721449870324642513842731128775822666071404532970573513982095817150036332941368999859116160019390220147589305450562297486595202414266732383002683884879405662190864448197369330447587450719777792405124097896308408936197151038359192827319315778331509387129106158881123359213947938209056424662131900943704660609372644324907929341361463410559054829115897217695864237153247364374372775349954191934307043748571990354727889162631181028875067618845765238732749940237076506229100568149820762779495153722799907014394959192776916820195211807010523124089083552104517690733549414427372670078614735991214914721749302526517638707842322788381563658415293299732242084267498632979072240843572151153513724128802517261166650811112892079237907062756395413615233894649133222362525025538193761353077374112261631701528086050755238135451697947266138845767398174535559188334726209407000775149292621575139840772093505037617042800052826377844878257784758560405788499001874558872224732702396405155860564415325753027800940482666729383462105166884218033774081155637984529623358008079863026931474080694840030671797347332146319577406799339124349318436831271080795349550317829528043931036172413456504008334462742199483532253084307495425595620005839164908066921243034150152054978689555535092088142896934600621238124330952772925833268121432857961396835317879932282646029212824912623192689145489625324069232588533594519506800690281161793773735427151342484878725171016154781630091507936910399258934346884569970708344767904863213509261271083751504644256446123921280329723618922352001670807858969194884943887995142183587019810947511737392738498953964040143295035467715944097979673275183503394920606464066182302906114136028453056873272498555754369857382939059296731559658221620563759472376118819231228349697569850522005299450226576178726401605331230895048255307533212353480006787894140586648250017243083603089858938711203340313372486950240443679379783981832975183202021361950655944659645735655247821555308505227486706460636361034082421761253744749690736101417288176439490011954069445775736065955447435701512727990316745202027170147555226579104185662467885562754312661639328152082295999858196917287169528799593499603270286465232465263065704891125110506355408810507462412228406037638890606141890837686577932687179333250794530867318555801079205613854860392539301618231570549156792182320614565743298143175522593793480002847499864564661571714423076457745232236312458874805875566233449300074720593033994598067842407297438925247399157445254762557615906949207053253418162554778544158237408702226373809979769024687423769063614692583741670373790463912637720035500373001522392458046875247047127768700850613974744443402018872354789348199847450605525275747667476985245014718700472787694005441701291030005462761389729540561041402129938078343011237241332915822359176184916728383420794023373634407035104552909957157500131230139203681242031801392590209563986808946967974139471791008616100690432426090761361278833006634652552346430329290033455261504096191676221155215423518586552186044920036505510893874054190796633915452600981831056954471610924555201}
30481 1222102131951905757489521905500986712947466155963762117811117331077661330376979156086288: {1005411,1066415,1279698,1492883,1523450,1828140,1950016,2132690,2193768,2467989,2559228,2649063,3046700,3656040,3899776,4113045,4290771,4387248,4935654,7520903,8113863,9159731,9804578,10010483,11097095,11926371,12470151,12727682,13085330,13316514,13458458,14006540,14300690,14391971,14637311,15110291,15702396,16217591,16550015,16807848,17160828,17467394,17657171,17923859,18908829,19138583,19860018,21586130,21694451,22407011,22744883,22775852,23800415,24705095,24770834,24953420,25224530,25456071,25903356,26409779,26978483,27445154,28560498,28683111,29646114,29944104,30269436,31209503,31527911,32051411,32074274,32397736,32438163,32492690,33534962,33687117,33732095,34081763,34405811,35113863,35312018,35428883,36447453,36634108,37715231,37784163,38381231,38540690,38850771,38991228,39871871,40449063,40478514,40589618,40997459,41167048,42045411,42149543,43389825,44297171,45787730,46121351,46248828,46282480,46309415,46312929,46832531,49323071,49997991,50075183,50092991,50359859,50445740,50612690,50784215,52067790,52334440,52350551,52816082,53101811,53692563,53761679,54340451,54351465,54830330,54945276,55250015,55538976,55571298,55585139,55618451,55645394,56142095,57033815,57036028,57295091,57376551,57465599,57974896,58541548,58551983,58727903,58876245,58952163,59596751,60009932,60534888,60735228,60941058,60988418,61420211,61901231,62481348,62801328,63053032,63253778,64190163,64391996,64704125,65221758,65313105,65796396,66082751,66263219,66300018,67224892,67370514,67475474,67843911,68101749,68440578,69480095,69667312,69860392,70231139,70461530,70651494,70934661,71093183,71686012,72006663,73023215,73363874,74122514,75425498,75859730,75914258,76177079,77370909,77524031,77644950,77813471,78134291,78305903,78375726,78592941,79454930,79493420,80083043,80673971,80806611,80889383,81480040,81850130,81989522,82821280,82878578,83376114,83382951,83645690,83897571,84446025,84553836,84772754,85816103,86467431,87578428,87627858,88430330,89241191,90075760,90362540,90888431,91031676,91530095,91665045,92108225,92613063,92710451,93173940,93563025,93658898,93972131,94403930,95345916,95392104,95625683,95913095,96035560,96183651,96438316,96851951,96897971,96929843,96980065,97265651,97776048,98109544,98176511,98220156,99070312,99319151,99385536,99385682,99800560,...,475211222572840146205917128261948011009334163972013508672883368589339581707753159443930961684493192711572238521471450498201440005524989743569786822084276405766972650552263738663023008150824073715756473447463025493228414296722127862057536557832514859631933431245032162113984848695026848713198928752811622165571452163180909137338950561316103806031506271892742916478528550590332824951977075444950295698851853450574190019418394178804849179409629070571121358243046077030792981873516598257772675876664717049245540488368479434319754268330038419555771933383217775421593516271055239678300829960659229810047841284330618855878690169878619693145394936975085821940862535488705043998864787166536357721013277107700528456835061634587762747182189967401476808854242927702736222386067113102299596388261543785099002867268874055806738235443501915808677668434407723539219079192252014578213175227540543757738014078950820663363666655868139494500636147047637902856370286723550398113133800452479591777055093774945996179628897172086184022943308644865358551472154082256625863904563773913845675377498894359273178483683513251377515025532870723787401995876497480523142211290814467888968823126345379823583436654994849676379157875297422600509700918266304441732906535592946373316269141739696038652578237037175393715635864842103787236022440976570531969607489955727872120433818830448926900091568055804772462755729486220085203612085330100204474348343324927404742136131784522425074151443833977875476946930346519241328518850264161555862289087682781001139059078274550479072901289001405773609133676626829997181815251216599580833535948310433807520019828482632567647405485521228058040170537056660683866372349392594051122559647176413197827182218979389084216216422124506747596477357775262861325413501392961933160432856685123641505034430221428539377294098018642794422866715110588491999812154880025853626863452407267416396648793603219022309844003578513172540882921152597596492440596783267626370389873498797195077878581596201384478923769759087704442012516172141545174831145618597250945408566216175867924939547479163525766543905788481951214078739772154529623594485649537663152499163700466605589245742724998095987139637185550174908038500090158461020318310333253649435341638800757533094350372660204963733209352526612257035889093593615742680697498785444736139356920978065885903163560104819647988286552962332403368690184943789763717842084877887057732976322779023331510638762987791429534871351632171736689681555534414817189438983876083675193884820311859532177629816700034050925015137436498816348842268704114734340317513935597263021518461023197566047412251112968279209334366865723495433519787696124673383489390400070435170459837677046344747207717998669166078496299643603195206874480752553767670703734587310222305844616140222512290711698774874183979372831144010773150702575298774259786707562396463109528426103209065785499132424582441694774393799400423772704058574714896551275338677779283656265978043004112409993900794160007785553210755894990712200202739971586074046789450857195912800828317499107937030567777690828577143948529113757173243043528038950433216830923585527319500432092310118044792692675734253708215725031647236201789979838300228021539708840122010582547199011912462512759960944459690539817618012348361445002006192341928165228373772964825229802668894410478625593179925183993522911449359747930015649856984665271952053524393380623621258797306231033578004526560808618754909737208152181371270742497696664741005826476510585412395642079544295494085012629834825092308304466263426467362673732600302101571635202140441641193397673743377616471306675717192187448864333356324111470786478584948271120417829982600320591572506378642443966910936028482600874592879527647540330428740411340303315608614181814712109895681671659666254314801889717568585986682605425927700981421273929914268683637320422326936036226863406968772138914216623847417005750215519104202776394666477595889716226038399457999471027048620309953684087606521500147341807211747343283216304541383518520808189187783582103910249572444334392707823091407734772274151806480523385735490975427398875722909760819420991064190900696791724640003796666486086215428952564101943660309648416611833074500754977932400099627457378659464090456543063251900329865543260339683410154542598942737671224216739704725544316544936301831746639692032916565025418152923444988893831720618550183626714000497335363189944062500329396170358267800818632992591202691829806385797599796600807367034330223302646993352958267297050258673922268388040007283681852972720748055202839917437790681649655110554429812234913222304511227725364498179209380139403879942876666841640185604908322709068523453612751982411929290632185962388011488134253909901454348481705110675512870069795240439053377940348672128255568294873620564691448736248059893382007347858498738921062178553936801309108075939295481232740268}
30482 1225869908253596003479042062930673795441757999592592747708768433334634103074922549645864: {396097,670318,792142,1340548,1706264,1887838,1919547,2285175,2401837,2437520,2742210,2925024,3199035,3225262,3290652,3412304,3532084,3808375,3838842,4570050,4874720,4941997,5409598,5484060,5721028,5849664,6387181,6580872,6747757,6862942,6927937,7288081,7403481,8187181,8434798,9442897,9521422,10124542,10486222,10516417,10818484,11230657,11409037,12773518,13734862,14455198,14706867,14961517,15534622,15668557,15901828,16253518,16626868,16732462,17091502,17508175,17689582,17755352,17958481,18485197,18765118,18835981,19091523,19627995,19974771,20187687,20912302,20936528,21009810,21451035,22102942,22410464,22881104,23054302,23410798,23553594,24063181,24598078,25211772,25273537,25309678,25741242,26020702,26135917,26201091,26480024,28032142,28348019,28469815,29449198,29738257,29790027,30591277,31191775,31217278,32122177,32379195,33686542,33941428,34163778,34323181,34537808,35503297,35797438,35914558,36007981,36021167,36265822,36616942,36850942,37156251,37430130,37685581,37836795,38020237,38080664,38244148,38370382,38603902,38855034,39420718,39528152,39925472,40188481,40353262,40359248,40497170,40527619,41167731,41168398,41350957,42344557,42796318,42840747,43250884,43260862,43957198,44469171,44817217,44916156,45000622,45404154,45792635,46818484,47314702,48007678,48088897,48111411,48123118,48596604,48739035,48739777,49551757,49737598,50302443,50361937,50378884,50523757,50728034,51458810,51801028,51988304,52153438,52968027,53263681,53645422,53745037,53874718,53932084,53971352,54951162,55171403,55185217,56060548,56278462,57811035,57853100,58364737,58486842,58789102,59312977,60415981,60717771,60884427,60958898,61127843,61665104,61750572,61859758,62298637,62880718,63057175,64126798,64239982,64326481,64466302,65418050,65596942,66651181,66663988,66959917,67628062,68681595,69373242,69423720,69878782,70489681,70947277,71295035,71590084,71898958,72347182,72468620,73019038,73176935,73260368,73578478,73981357,74051968,74095064,74584717,74696158,74735377,75012415,75254398,75487597,75668610,75787981,75919035,75923758,76238017,76258222,76502068,77285581,77372062,78101685,78501660,78602884,78775981,78816290,79224123,80489995,80713184,80980304,81254744,81293137,82245495,82417914,82470481,83308464,83356947,83468091,83735104,84021502,84031115,84352462,84683278,85344478,85393681,85554042,85586884,85845851,86686523,86962344,87084140,87325490,87728528,87812322,87999937,88400024,88641838,89007181,89607515,89827352,89847262,90014898,90175678,90458548,90802332,90832078,91102842,91254104,91269358,91411587,91438657,91482627,91865581,92470558,92906878,93124942,93560878,93722022,94201992,94431982,94579548,94880667,95117137,95845342,96008884,96062542,96587994,97774477,97832637,98339278,98694594,98988478,99366775,99450027,...,712816833859260219308875692392922016514001245958020263009325052884009372561629739165896442526739789067358357782207175747302160008287484615354680233126414608650458975828395607994534512226236110573634710171194538239842621445083191793086304836748772289447900146867548243170977273042540273069798393129217433248357178244771363706008425841974155709047259407839114374717792825885499237427965613167425443548277780175861285029127591268207273769114443605856682037364569115546189472810274897386659013814997075573868310732552719151479631402495057629333657900074826663132390274406582859517451244940988844715071761926495928283818035254817929539718092405462628732911293803233057565998297180749804536581519915661550792685252592451881644120773284951102215213281364391554104333579100669653449394582392315677648504300903311083710107353165252873713016502651611585308828618788378021867319762841310815636607021118426230995045499983802209241750954220571456854284555430085325597169700700678719387665582640662418994269443345758129276034414962967298037827208231123384938795856845660870768513066248341538909767725525269877066272538299306085681102993814746220784713316936221701833453234689518069735375154982492274514568736812946133900764551377399456662599359803389419559974403712609544057978867355555763090573453797263155680854033661464855797954411234933591808180650728245673390350137352083707158694133594229330127805418127995150306711522514987391107113204197676783637611227165750966813215420395519778861992778275396242333793433631524171501708588617411825718609351933502108660413700514940244995772722876824899371250303922465650711280029742723948851471108228281842087060255805584991025799558524088891076683839470764619796740773328469083626324324633186760121394716036662894291988120252089442899740649285027685462257551645332142809065941147027964191634300072665882737999718232320038780440295178610901124594973190404828533464766005367769758811324381728896394738660895174901439555584810248195792616817872394302076718385654638631556663018774258212317762246718427895876418112849324263801887409321218745288649815858682722926821118109658231794435391728474306494728748745550699908383868614087497143980709455778325262362057750135237691530477465499880474153012458201136299641525558990307445599814028789918385553833640390423614021046248178167104209035381467098828854745340157229471982429829443498605053035277415684645576763127316830586599464484168534997265958144481687144302307027448257605034522333301622225784158475814125512790827230467789298266444725050051076387522706154748224523263403056172101510476270903395894532277691534796349071118376669452418814001550298585243150279681544187010075234085600105652755689756515569517120811576998003749117744449465404792810311721128830651506055601880965333458766924210333768436067548162311275969059246716016159726053862948161389680061343594694664292639154813598678248698636873662542161590699100635659056087862072344826913008016668925484398967064506168614990851191240011678329816133842486068300304109957379111070184176285793869201242476248661905545851666536242865715922793670635759864565292058425649825246385378290979250648138465177067189039013601380562323587547470854302684969757450342032309563260183015873820798517868693769139941416689535809726427018522542167503009288512892247842560659447237844704003341615717938389769887775990284367174039621895023474785476997907928080286590070935431888195959346550367006789841212928132364605812228272056906113746544997111508739714765878118593463119316443241127518944752237638462456699395139701044010598900453152357452803210662461790096510615066424706960013575788281173296500034486167206179717877422406680626744973900480887358759567963665950366404042723901311889319291471310495643110617010454973412921272722068164843522507489499381472202834576352878980023908138891551472131910894871403025455980633490404054340295110453158208371324935771125508625323278656304164591999716393834574339057599186999206540572930464930526131409782250221012710817621014924824456812075277781212283781675373155865374358666501589061734637111602158411227709720785078603236463141098313584364641229131486596286351045187586960005694999729129323143428846152915490464472624917749611751132466898600149441186067989196135684814594877850494798314890509525115231813898414106506836325109557088316474817404452747619959538049374847538127229385167483340747580927825275440071000746003044784916093750494094255537401701227949488886804037744709578696399694901211050551495334953970490029437400945575388010883402582060010925522779459081122082804259876156686022474482665831644718352369833456766841588046747268814070209105819914315000262460278407362484063602785180419127973617893935948278943582017232201380864852181522722557666013269305104692860658580066910523008192383352442310430847037173104372089840073011021787748108381593267830905201963662113908943221849110402}
30483 1229649233517154337036616773604245098148882952232895320081931854938334515406861424501672: {1005477,1188213,1492981,1675685,2010822,2132830,2559396,2831757,2985766,3046900,3656280,3900032,4113315,4265380,4387536,4415105,4837893,4935978,5118456,5298126,5758263,6093400,6855075,7151285,7312080,7703597,7799552,8114397,8226090,8581542,8774496,8799761,9871308,10294413,12652197,13523105,13724381,14282133,15041806,15186813,15535933,15729333,16227726,17008693,18319462,19160277,19609156,19877285,20020966,20297477,20602293,20783585,21390181,21682797,22194190,23170021,23301933,23852742,24380277,24940302,25098693,25455364,25637253,26170660,26481013,26534373,26633028,26916916,27745157,28013080,28147677,28601380,28783942,29274622,30220582,31211557,31368453,31404792,31514715,32435182,33100030,33154413,33320581,33615696,34321656,34581453,34587133,34934788,35116197,35237077,35314342,35330391,35847718,36897117,37817658,37964517,38277166,38611863,39031053,39720036,40661413,42048213,42152317,42426785,43172260,43388902,43721381,44173797,44814022,45489766,45551704,46825917,47224933,47600830,47805185,48371173,49410190,49541668,49625237,49699397,49906840,50449060,50529813,50912142,51245667,51806712,52819558,53696157,53871837,53956966,54063605,54398733,54890308,54925413,55276413,55966381,56145195,57120996,57366222,57469381,57555573,57905853,58282551,58523105,59131077,59292228,59516197,59646917,59888208,60529893,60538872,60745755,61752597,61868833,62419006,62973605,63055822,64102822,64148548,64194477,64220533,64751285,64795472,64833181,64876326,64891293,64985380,65935797,66035297,67069924,67129301,67374234,67415105,67464190,67500933,68106231,68163526,68811622,70075685,70227726,70624036,70857766,70972053,71097901,72011517,72184677,72316375,72894906,73268216,74606397,75430462,75568326,76092051,76762462,77081380,77188215,77350021,77701542,77982456,78230157,78311077,78598933,78871853,79743742,79847341,80468133,80812077,80898126,80957028,81179236,81994918,82334096,82426743,83000437,83329985,84090822,84299086,84417693,86779650,86967997,87730263,88183653,88594342,88762741,89091713,89370677,89487605,90027457,90405781,90585775,91438347,91575460,92242702,92497656,92564960,92618830,92625858,92789637,93665062,94166741,94321077,95322013,95547773,95627585,96190197,96359973,96699453,97272133,98127075,98253605,98395413,98646142,99427457,99995982,...,1069225250788890328963313538589383024771001868937030394513987579326014058842444608748844663790109683601037536673310763620953240012431226923032020349689621912975688463742593411991801768339354165860452065256791807359763932167624787689629457255123158434171850220301322364756465909563810409604697589693826149872535767367157045559012638762961233563570889111758671562076689238828248856141948419751138165322416670263791927543691386902310910653671665408785023056046853673319284209215412346079988520722495613360802466098829078727219447103742586444000486850112239994698585411609874289276176867411483267072607642889743892425727052882226894309577138608193943099366940704849586348997445771124706804872279873492326189027878888677822466181159927426653322819922046587331156500368651004480174091873588473516472756451354966625565161029747879310569524753977417377963242928182567032800979644261966223454910531677639346492568249975703313862626431330857185281426833145127988395754551051018079081498373960993628491404165018637193914051622444450947056740812346685077408193785268491306152769599372512308364651588287904815599408807448959128521654490722119331177069975404332552750179852034277104603062732473738411771853105219419200851146827066099184993899039705084129339961605568914316086968301033333644635860180695894733521281050492197283696931616852400387712270976092368510085525206028125560738041200391343995191708127191992725460067283772481086660669806296515175456416840748626450219823130593279668292989167413094363500690150447286257252562882926117738577914027900253162990620550772410367493659084315237349056875455883698476066920044614085923277206662342422763130590383708377486538699337786133336615025759206146929695111159992703625439486486949780140182092074054994341437982180378134164349610973927541528193386327467998214213598911720541946287451450108998824106999577348480058170660442767916351686892459785607242800197149008051654638216986572593344592107991342762352159333377215372293688925226808591453115077578481957947334994528161387318476643370077641843814627169273986395702831113981828117932974723788024084390231677164487347691653087592711459742093123118326049862575802921131245715971064183667487893543086625202856537295716198249820711229518687301704449462288338485461168399721043184877578330750460585635421031569372267250656313553072200648243282118010235844207973644744165247907579552916123526968365144690975245879899196726252802495898937216722530716453460541172386407551783499952433338676237713721188269186240845701683947399667087575076614581284059232122336784895104584258152265714406355093841798416537302194523606677565004178628221002325447877864725419522316280515112851128400158479133534634773354275681217365497005623676616674198107189215467581693245977259083402821448000188150386315500652654101322243466913953588870074024239589080794422242084520092015392041996438958732220398017373047955310493813242386048650953488584131793108517240369512025003388226598450596759252922486276786860017517494724200763729102450456164936068666605276264428690803801863714372992858318777499804364298573884190505953639796847938087638474737869578067436468875972207697765600783558520402070843485381321206281454027454636175513048464344890274523810731197776803040653709912125034303714589640527783813251254513932769338371763840989170856767056005012423576907584654831663985426550761059432842535212178215496861892120429885106403147832293939019825550510184761819392198546908718342408085359170619817495667263109572148817177890194678974664861691278417128356457693685049092709551566015898350679728536179204815993692685144765922599637060440020363682421759944750051729250809269576816133610020940117460850721331038139351945498925549606064085851967833978937206965743464665925515682460119381909083102247265283761234249072208304251864529318470035862208337327208197866342307104538183970950235606081510442665679737312556987403656688262937984917984456246887999574590751861508586398780498809810859395697395789197114673375331519066226431522387236685218112916671818425672513059733798061537999752383592601955667403237616841564581177617904854694711647470376546961843697229894429526567781380440008542499593693984715143269229373235696708937376624417626698700347900224161779101983794203527221892316775742197472335764287672847720847621159760254487664335632474712226106679121429939307074062271307190844077751225011121371391737913160106501119004567177374140625741141383306102551841924233330206056617064368044599542351816575827243002430955735044156101418363082016325103873090016388284169188621683124206389814235029033711723998747467077528554750185150262382070120903221105313658729871472500393690417611043726095404177770628691960426840903922418415373025848302071297278272284083836499019903957657039290987870100365784512288575028663465646270555759656558134760109516532681622162572389901746357802945493170863414832773665603}
30484 1233440142937420668177281509687229543597265036476271076205448369276181816512057397135489: {517939,792194,1340636,1584284,1612843,2681096,3016233,3199245,3412528,3775676,3808625,3839094,4157539,4478649,4570350,4803674,4875040,5331725,5484420,5785963,5850048,6398070,6450524,6581304,6824608,7064168,7403967,7616750,7677684,7947189,8487043,9140100,9749440,9883994,10457539,10819196,10968120,11442056,11699328,12339135,12774362,12872313,13161744,13495514,13725884,13855874,14576162,14806962,16374362,16669339,16845523,16869596,18427939,18885794,19042844,19304539,20249084,20972444,21032834,21636968,22097563,22461314,22562709,22619203,22818074,24341589,24353323,24511445,25547036,26941003,27469724,27479193,27971539,28143043,28910396,28999483,29413734,29923034,30031449,30366043,31069244,31217803,31337114,31803656,31819205,32237539,32507036,32713325,33253736,33291285,33464924,33646145,33762283,34183004,34606843,34775539,35016350,35379164,35510704,35751725,35779113,35916962,36970394,37297339,37410453,37464883,37530236,37671962,38183046,39255990,39636403,39857741,39949542,40375374,41824604,41873056,42019620,42126883,42902070,43175913,43668485,43911933,44107603,44205884,44820928,45330873,45750283,45762208,46108604,46568923,46821596,47107188,47896277,48037939,48126362,48652773,49196156,49650045,49825483,50423544,50547074,50619356,51281539,51482484,52041404,52249003,52271834,52402182,52960048,52971513,53695339,53771577,53965325,54656323,56064284,56696038,56726487,56939630,57415749,58898396,59106643,59476514,59580054,61182554,61927085,62383550,62407339,62434556,63061325,64109689,64123603,64244354,64758390,65083353,65676283,67221033,67373084,67882856,68234649,68327556,68612885,68646362,69075616,70749043,71006594,71053963,71401245,71594876,71829116,72015962,72042334,72270763,72531644,73233884,73331683,73701884,73936339,74115285,74312502,74841163,74860260,75292603,75371162,75673590,76040474,76043563,76161328,76368213,76488296,76740764,77207804,77710068,78434539,78841436,79056304,79229337,79850944,80067643,80185685,80376962,80706524,80718496,80935449,80994340,81055238,81231725,81397339,82335462,82336796,82701914,83837405,84689114,85592636,85681494,86049333,86501768,86521724,87381043,87914396,88280045,88938342,89634434,89832312,90001244,90808308,91585270,92251339,93628509,93636968,93667939,94232563,94583733,94629404,95217883,95779339,96015356,96154233,96177794,96222822,96246236,96339643,96351725,96619363,97193208,97314489,97317403,97478070,97479554,98430523,99103514,99123883,99475196,99813049,...,1425633667718520438617751384785844033028002491916040526018650105768018745123259478331792885053479578134716715564414351494604320016574969230709360466252829217300917951656791215989069024452472221147269420342389076479685242890166383586172609673497544578895800293735096486341954546085080546139596786258434866496714356489542727412016851683948311418094518815678228749435585651770998474855931226334850887096555560351722570058255182536414547538228887211713364074729138231092378945620549794773318027629994151147736621465105438302959262804990115258667315800149653326264780548813165719034902489881977689430143523852991856567636070509635859079436184810925257465822587606466115131996594361499609073163039831323101585370505184903763288241546569902204430426562728783108208667158201339306898789164784631355297008601806622167420214706330505747426033005303223170617657237576756043734639525682621631273214042236852461990090999967604418483501908441142913708569110860170651194339401401357438775331165281324837988538886691516258552068829925934596075654416462246769877591713691321741537026132496683077819535451050539754132545076598612171362205987629492441569426633872443403666906469379036139470750309964984549029137473625892267801529102754798913325198719606778839119948807425219088115957734711111526181146907594526311361708067322929711595908822469867183616361301456491346780700274704167414317388267188458660255610836255990300613423045029974782214226408395353567275222454331501933626430840791039557723985556550792484667586867263048343003417177234823651437218703867004217320827401029880489991545445753649798742500607844931301422560059485447897702942216456563684174120511611169982051599117048177782153367678941529239593481546656938167252648649266373520242789432073325788583976240504178885799481298570055370924515103290664285618131882294055928383268600145331765475999436464640077560880590357221802249189946380809657066929532010735539517622648763457792789477321790349802879111169620496391585233635744788604153436771309277263113326037548516424635524493436855791752836225698648527603774818642437490577299631717365445853642236219316463588870783456948612989457497491101399816767737228174994287961418911556650524724115500270475383060954930999760948306024916402272599283051117980614891199628057579836771107667280780847228042092496356334208418070762934197657709490680314458943964859658886997210106070554831369291153526254633661173198928968337069994531916288963374288604614054896515210069044666603244451568316951628251025581654460935578596532889450100102152775045412309496449046526806112344203020952541806791789064555383069592698142236753338904837628003100597170486300559363088374020150468171200211305511379513031139034241623153996007498235488898930809585620623442257661303012111203761930666917533848420667536872135096324622551938118493432032319452107725896322779360122687189389328585278309627197356497397273747325084323181398201271318112175724144689653826016033337850968797934129012337229981702382480023356659632267684972136600608219914758222140368352571587738402484952497323811091703333072485731431845587341271519729130584116851299650492770756581958501296276930354134378078027202761124647175094941708605369939514900684064619126520366031747641597035737387538279882833379071619452854037045084335006018577025784495685121318894475689408006683231435876779539775551980568734348079243790046949570953995815856160573180141870863776391918693100734013579682425856264729211624456544113812227493089994223017479429531756237186926238632886482255037889504475276924913398790279402088021197800906304714905606421324923580193021230132849413920027151576562346593000068972334412359435754844813361253489947800961774717519135927331900732808085447802623778638582942620991286221234020909946825842545444136329687045014978998762944405669152705757960047816277783102944263821789742806050911961266980808108680590220906316416742649871542251017250646557312608329183999432787669148678115198373998413081145860929861052262819564500442025421635242029849648913624150555562424567563350746311730748717333003178123469274223204316822455419441570157206472926282196627168729282458262973192572702090375173920011389999458258646286857692305830980928945249835499223502264933797200298882372135978392271369629189755700989596629781019050230463627796828213013672650219114176632949634808905495239919076098749695076254458770334966681495161855650550880142001492006089569832187500988188511074803402455898977773608075489419157392799389802422101102990669907940980058874801891150776021766805164120021851045558918162244165608519752313372044948965331663289436704739666913533683176093494537628140418211639828630000524920556814724968127205570360838255947235787871896557887164034464402761729704363045445115332026538610209385721317160133821046016384766704884620861694074346208744179680146022043575496216763186535661810403927324227817886443698220804}
30485 1237242671815867826704790016417820856308043131760682051805272419728875079431358738134086: {1188291,1675795,1980355,2010954,2345959,2376426,2985962,3351370,4021644,4265660,4719595,5118792,5663514,5758641,5971532,6093800,6181147,6855525,7205511,7312560,7800064,8063155,8226630,8530760,8775072,8830210,9104251,9597105,9675786,9835027,9871956,10011799,10236912,10596252,11425125,11516526,12186800,13523995,13710150,14302570,14393863,14624160,14825991,15407194,15599104,15730759,16219723,16228794,16452180,17157355,17163084,17548992,17599522,18932347,19141099,19161543,19742616,20243271,20588826,20783811,21086995,21207619,21697303,21864243,22210443,23744743,23803555,24561543,25304394,25311355,25589107,26215555,27046210,27448762,27746983,27828199,28328691,28564266,29097019,30083612,30373626,31071866,31458666,31549251,31933795,32455452,32789731,33691971,34017386,34227111,34337155,35741959,36137995,36638924,38320554,38836555,39218312,39754570,40041932,40594954,40633795,40812427,41204586,41256871,41567170,41831155,42394759,42728755,42780362,43365594,44120601,44223955,44388380,44884551,46340042,46603866,46729411,46912795,47005671,47705484,48760554,49628503,49880604,50197386,50366503,50910728,51023131,51107443,51274506,51670723,52140139,52280755,52341320,52524525,52962026,53068746,53266056,53833832,53875443,55257355,55455591,55490314,55673959,56026160,56295354,56507943,57202760,57274569,57567884,57635755,58526995,58549244,58735651,58883985,59045827,59397499,59924313,60313363,60441164,60563061,61495195,62423114,62736906,62809584,63029430,63274195,64353105,64870364,65051755,65506219,66039643,66200060,66308826,66339187,66641162,66927259,67133719,67231392,68643312,69162906,69174266,69256531,69869576,70080355,70232394,70474154,70491811,70628684,70660782,71695436,72189543,73622995,73794234,75635316,75689047,75820611,75929034,76554332,76798027,77223726,77507683,78043195,78062106,78377227,78407751,78603273,79440072,81322826,81932347,83445703,84096426,84216355,84304634,84853570,85044057,85409445,86344520,86777804,87400423,87442762,88163047,88347594,89214771,89370081,89493595,89628044,89786395,90035143,90651799,90664555,90979532,91103408,91542355,91773831,92010259,92127355,93575325,93651834,94381147,94449866,95201660,95610370,95925955,95926867,96366531,96509755,96742346,96942631,97137585,97273363,98105959,98551795,98820380,99083336,99250474,99398794,99573091,99813680,...,2138450501577780657926627077178766049542003737874060789027975158652028117684889217497689327580219367202075073346621527241906480024862453846064040699379243825951376927485186823983603536678708331720904130513583614719527864335249575379258914510246316868343700440602644729512931819127620819209395179387652299745071534734314091118025277525922467127141778223517343124153378477656497712283896839502276330644833340527583855087382773804621821307343330817570046112093707346638568418430824692159977041444991226721604932197658157454438894207485172888000973700224479989397170823219748578552353734822966534145215285779487784851454105764453788619154277216387886198733881409699172697994891542249413609744559746984652378055757777355644932362319854853306645639844093174662313000737302008960348183747176947032945512902709933251130322059495758621139049507954834755926485856365134065601959288523932446909821063355278692985136499951406627725252862661714370562853666290255976791509102102036158162996747921987256982808330037274387828103244888901894113481624693370154816387570536982612305539198745024616729303176575809631198817614897918257043308981444238662354139950808665105500359704068554209206125464947476823543706210438838401702293654132198369987798079410168258679923211137828632173936602066667289271720361391789467042562100984394567393863233704800775424541952184737020171050412056251121476082400782687990383416254383985450920134567544962173321339612593030350912833681497252900439646261186559336585978334826188727001380300894572514505125765852235477155828055800506325981241101544820734987318168630474698113750911767396952133840089228171846554413324684845526261180767416754973077398675572266673230051518412293859390222319985407250878972973899560280364184148109988682875964360756268328699221947855083056386772654935996428427197823441083892574902900217997648213999154696960116341320885535832703373784919571214485600394298016103309276433973145186689184215982685524704318666754430744587377850453617182906230155156963915894669989056322774636953286740155283687629254338547972791405662227963656235865949447576048168780463354328974695383306175185422919484186246236652099725151605842262491431942128367334975787086173250405713074591432396499641422459037374603408898924576676970922336799442086369755156661500921171270842063138744534501312627106144401296486564236020471688415947289488330495815159105832247053936730289381950491759798393452505604991797874433445061432906921082344772815103566999904866677352475427442376538372481691403367894799334175150153229162568118464244673569790209168516304531428812710187683596833074604389047213355130008357256442004650895755729450839044632561030225702256800316958267069269546708551362434730994011247353233348396214378430935163386491954518166805642896000376300772631001305308202644486933827907177740148048479178161588844484169040184030784083992877917464440796034746095910620987626484772097301906977168263586217034480739024050006776453196901193518505844972553573720035034989448401527458204900912329872137333210552528857381607603727428745985716637554999608728597147768381011907279593695876175276949475739156134872937751944415395531201567117040804141686970762642412562908054909272351026096928689780549047621462395553606081307419824250068607429179281055567626502509027865538676743527681978341713534112010024847153815169309663327970853101522118865685070424356430993723784240859770212806295664587878039651101020369523638784397093817436684816170718341239634991334526219144297634355780389357949329723382556834256712915387370098185419103132031796701359457072358409631987385370289531845199274120880040727364843519889500103458501618539153632267220041880234921701442662076278703890997851099212128171703935667957874413931486929331851031364920238763818166204494530567522468498144416608503729058636940071724416674654416395732684614209076367941900471212163020885331359474625113974807313376525875969835968912493775999149181503723017172797560997619621718791394791578394229346750663038132452863044774473370436225833343636851345026119467596123075999504767185203911334806475233683129162355235809709389423294940753093923687394459788859053135562760880017084999187387969430286538458746471393417874753248835253397400695800448323558203967588407054443784633551484394944671528575345695441695242319520508975328671264949424452213358242859878614148124542614381688155502450022242742783475826320213002238009134354748281251482282766612205103683848466660412113234128736089199084703633151654486004861911470088312202836726164032650207746180032776568338377243366248412779628470058067423447997494934155057109500370300524764140241806442210627317459742945000787380835222087452190808355541257383920853681807844836830746051696604142594556544568167672998039807915314078581975740200731569024577150057326931292541111519313116269520219033065363244325144779803492715605890986341726829665547331206}
30486 1241056855560922764026098260929065791134707554966316524659988089548502734381017762809544: {517973,578873,1035878,1126613,1584388,1795193,2523449,2681272,2947733,3016431,3168568,3225686,3564639,4218233,4478943,4942649,5027055,5063273,5244149,5332075,5362192,5424953,5846549,6032466,6398490,6825056,6868793,7048949,7464415,7551352,7617250,7678188,7948649,8315078,8495271,8547449,8957298,9140700,9563573,9607348,9750080,10458233,10517813,10636949,10663450,10968840,11053673,11232149,11529449,11571926,11700096,11707733,11945333,12339945,12796140,12901048,13162608,13190633,13245315,13649216,13723253,14128336,14513679,14807934,15081449,15233500,15355368,15894378,16974086,17022773,17274789,18136553,18280200,18312149,18487673,19480949,19498880,19767988,20355449,20565225,20915078,21453855,21634793,21638392,21808949,21936240,22852373,22884112,23110791,23398656,24343191,24412649,24678270,25276949,25392053,25548724,25744626,26254313,26323488,26399283,26991028,27172073,27451768,27711748,29152324,29613924,29856149,30424949,30879413,30883239,31276649,31956713,32239733,32409449,32748724,32974649,33338678,33691046,33739192,33820949,34316023,35620373,36855878,37299893,37355753,37604515,37771588,37956591,38085688,38136953,38471273,38609078,40498168,40569315,40969493,41173143,41356649,41467193,41944888,42065668,42184949,42350393,42846399,43273936,44195126,44546887,44922628,44932949,45097193,45125418,45238406,45560439,45636148,45798655,46408553,46607799,46735673,46953593,47104603,47187999,48095573,48683178,48706646,48746549,48854933,49022890,49828949,50052415,51026079,51094072,51177449,51338933,52252649,53431673,53752553,53882006,54019733,54500153,54660149,54939448,54958386,55485475,55618613,55943078,56256149,56286086,56604691,56627513,56786549,57480831,57820792,57998966,58003433,58372949,58827468,59163449,59584313,59631855,59846068,60062898,60581813,60732086,60892431,61135879,61680953,61806879,62138488,62307449,62350755,62411753,62435606,62674228,63607312,63638410,63972473,64170543,64475078,65014072,65048391,65426650,66507472,66582570,66815093,66929848,67123733,67292290,67380713,67524566,67842773,68366008,68918393,69122873,69213686,69510063,69551078,69905799,70032700,70041449,70758328,70957433,71021408,71059049,71503450,71558226,71833924,71959855,72326549,73140831,73186555,73940788,73991993,74092649,74444693,74594678,74595449,74695913,74820906,74846549,74929766,75060472,75197753,75296079,75343924,75348149,75498473,75551455,76249013,76348949,76366092,76911759,77246933,77446133,78340949,78511980,79272806,79443039,79603119,79715482,79899084,80073449,80750748,81087955,81403253,82433513,82750075,83235471,83362613,83649208,83655413,83746112,84039240,84253766,84386153,84443031,84629333,85357673,85804140,86351826,86697919,87001913,87336970,87387449,87531893,87823866,88215206,88285855,88411768,89619295,89641856,89880953,90661746,90739049,91119593,91500566,91524416,92217208,92400149,93137846,93634671,93643192,93721973,94105359,94214376,94427513,94544145,95084393,95224949,95365433,95692915,95792554,95833193,96058039,96075878,96252724,96393449,96626549,96952553,97305546,97324649,97649813,98392312,98484149,99300090,99315893,99463239,99650966,99730793,99961743,...,3207675752366670986889940615768149074313005606811091183541962737978042176527333826246533991370329050803112610019932290862859720037293680769096061049068865738927065391227780235975405305018062497581356195770375422079291796502874363068888371765369475302515550660903967094269397728691431228814092769081478449617607302101471136677037916288883700690712667335276014686230067716484746568425845259253414495967250010791375782631074160706932731961014996226355069168140561019957852627646237038239965562167486840082407398296487236181658341311227759332001460550336719984095756234829622867828530602234449801217822928669231677277181158646680682928731415824581829298100822114548759046992337313374120414616839620476978567083636666033467398543479782279959968459766139761993469501105953013440522275620765420549418269354064899876695483089243637931708574261932252133889728784547701098402938932785898670364731595032918039477704749927109941587879293992571555844280499435383965187263653153054237244495121882980885474212495055911581742154867333352841170222437040055232224581355805473918458308798117536925093954764863714446798226422346877385564963472166357993531209926212997658250539556102831313809188197421215235315559315658257602553440481198297554981697119115252388019884816706742948260904903100000933907580542087684200563843151476591851090794850557201163136812928277105530256575618084376682214123601174031985575124381575978176380201851317443259982009418889545526369250522245879350659469391779839004878967502239283090502070451341858771757688648778353215733742083700759488971861652317231102480977252945712047170626367651095428200760133842257769831619987027268289391771151125132459616098013358400009845077277618440789085333479978110876318459460849340420546276222164983024313946541134402493048832921782624584580158982403994642640796735161625838862354350326996472320998732045440174511981328303749055060677379356821728400591447024154963914650959717780033776323974028287056478000131646116881066775680425774359345232735445873842004983584484161955429930110232925531443881507821959187108493341945484353798924171364072253170695031493462043074959262778134379226279369354978149587727408763393737147913192551002463680629259875608569611887148594749462133688556061905113348386865015456383505199163129554632734992251381756906263094708116801751968940659216601944729846354030707532623920934232495743722738658748370580905095434072925737639697590178758407487696811650167592149360381623517159222655350499857300016028713141163564807558722537105051842199001262725229843743852177696367010354685313752774456797143219065281525395249611906583570820032695012535884663006976343633594176258566948841545338553385200475437400603904320062827043652096491016871029850022594321567646402745079737931777250208464344000564451158946501957962303966730400741860766610222072718767242383266726253560276046176125989316876196661194052119143865931481439727158145952860465752395379325551721108536075010164679795351790277758767458830360580052552484172602291187307351368494808205999815828793286072411405591143118978574956332499413092895721652571517860919390543814262915424213608734202309406627916623093296802350675561206212530456143963618844362082363908526539145393034670823571432193593330409121961129736375102911143768921583351439753763541798308015115291522967512570301168015037270730722753964494991956279652283178298527605636534646490585676361289655319209443496881817059476651530554285458176595640726155027224256077511859452487001789328716446451533670584036923994585073835251385069373081055147278128654698047695052039185608537614447981078055434297767798911181320061091047265279834250155187752427808730448400830062820352382552163993114418055836496776648818192257555903501936811620897230393997776547047380358145727249306741795851283702747216624912755593587955410107586625011981624593599026921313614551912850706818244531327997039211937670962210970064788813954753953368740663998723772255584525759196341496429432578187092187367591344020125994557198679294567161710055654338750015455277017539179201394184613999257150777805867002209712850524693743532853714564084134942411129640885531091689683288579703344141320025627498781081954145429807688119707090126812129873252880096101043700672485337305951382610581665676950327226592417007292863018543162542863479280763462993006897424136678320037364289817921222186813921572532233253675033364114175213739480319503357013701532122421877223424149918307655525772699990618169851193104133798627055449727481729007292867205132468304255089246048975311619270049164852507565865049372619169442705087101135171996242401232585664250555450787146210362709663315940976189614417501181071252833131178286212533311886075881280522711767255246119077544906213891834816852251509497059711872971117872963610301097353536865725085990396938811667278969674404280328549598044866487717169705239073408836479512590244498320996809}
30487 1244882729688288716882080341172952648515864206822343489291412081122219211131001909647645: {1553817,1980485,2346113,2376582,2772497,3351590,3960710,4021908,4691918,4752852,4838529,5971924,6607433,6702740,8043288,8531320,9048699,9439190,9597735,10237584,10992089,11288417,11327028,11425875,11517282,11943064,12009185,12187600,12362294,12472617,13435947,13711050,14411022,14625120,15600128,15995175,16126310,16453260,17010929,17061520,17357889,17550144,17660420,18208502,18590897,18933593,19041875,19194210,19351572,19670054,19743912,20023598,20473824,21192504,21392993,22211901,22242137,22850250,23033052,23702633,23841567,24020297,24373600,24413609,24709985,25461129,25893377,27047990,27353873,27420300,28061969,28605140,28787726,29248320,29521793,29651982,30814388,31198208,31372617,31461518,31935905,32439446,32457588,32791889,32904360,33324977,33738785,34314710,34326168,34629017,34639685,35097984,35199044,35435897,36410033,36440405,36701777,37017405,37864694,38282198,38323086,38616939,39485232,40486542,40815113,40935905,41177652,41567622,42173990,42240497,42415238,42655409,43394606,43728486,44420886,44707313,45613889,47214485,47489486,47607110,48072017,49123086,49952129,50008017,50102897,50536569,50593193,50608788,50622710,51026489,51178214,52360913,52431110,52582085,52870817,53172617,53600489,54092420,54351209,54371177,54897524,55283817,55493966,55656398,56153285,56657382,56887313,57045185,57128532,57913617,58194038,58274273,58563617,59049713,59524049,59820257,60167224,60747252,61913537,62143732,62917332,63098502,63117953,63867590,64910904,65579462,65677913,65796497,66292689,66343553,67383942,67688127,67748777,67857609,68034772,68454222,68587973,68674310,69261089,71279429,71483918,72275990,73024767,73059969,73193057,73212833,73277848,73534335,74210609,74807585,76641108,77360297,77673110,77828873,78342785,78436624,79509140,80083864,80690057,80823009,80905397,81189908,81267590,81624854,81937793,82409172,82437579,82513742,83134340,83662310,83782553,83914617,83980697,84429129,84789518,85457510,85560724,85833089,86093273,86731188,86998449,87540875,88241202,88447910,88583873,88776760,89769102,89792405,90094347,91072457,91098129,91599989,92425985,92680084,93207732,93257057,93458822,93653409,93825590,94011342,94179905,95410968,95457615,96712617,97521108,98112497,98139975,98358713,98617649,99257006,99761208,99873855,...,4276901003155561315853254154357532099084007475748121578055950317304056235369778434995378655160438734404150146693243054483812960049724907692128081398758487651902753854970373647967207073357416663441808261027167229439055728670499150758517829020492633736687400881205289459025863638255241638418790358775304599490143069468628182236050555051844934254283556447034686248306756955312995424567793679004552661289666681055167710174765547609243642614686661635140092224187414693277136836861649384319954082889982453443209864395316314908877788414970345776001947400448959978794341646439497157104707469645933068290430571558975569702908211528907577238308554432775772397467762819398345395989783084498827219489119493969304756111515554711289864724639709706613291279688186349324626001474604017920696367494353894065891025805419866502260644118991517242278099015909669511852971712730268131203918577047864893819642126710557385970272999902813255450505725323428741125707332580511953583018204204072316325993495843974513965616660074548775656206489777803788226963249386740309632775141073965224611078397490049233458606353151619262397635229795836514086617962888477324708279901617330211000719408137108418412250929894953647087412420877676803404587308264396739975596158820336517359846422275657264347873204133334578543440722783578934085124201968789134787726467409601550849083904369474040342100824112502242952164801565375980766832508767970901840269135089924346642679225186060701825667362994505800879292522373118673171956669652377454002760601789145029010251531704470954311656111601012651962482203089641469974636337260949396227501823534793904267680178456343693108826649369691052522361534833509946154797351144533346460103036824587718780444639970814501757945947799120560728368296219977365751928721512536657398443895710166112773545309871992856854395646882167785149805800435995296427998309393920232682641771071665406747569839142428971200788596032206618552867946290373378368431965371049408637333508861489174755700907234365812460310313927831789339978112645549273906573480310567375258508677095945582811324455927312471731898895152096337560926708657949390766612350370845838968372492473304199450303211684524982863884256734669951574172346500811426149182864792999282844918074749206817797849153353941844673598884172739510313323001842342541684126277489069002625254212288802592973128472040943376831894578976660991630318211664494107873460578763900983519596786905011209983595748866890122865813842164689545630207133999809733354704950854884753076744963382806735789598668350300306458325136236928489347139580418337032609062857625420375367193666149208778094426710260016714512884009301791511458901678089265122060451404513600633916534138539093417102724869461988022494706466696792428756861870326772983909036333611285792000752601545262002610616405288973867655814355480296096958356323177688968338080368061568167985755834928881592069492191821241975252969544194603813954336527172434068961478048100013552906393802387037011689945107147440070069978896803054916409801824659744274666421105057714763215207454857491971433275109999217457194295536762023814559187391752350553898951478312269745875503888830791062403134234081608283373941525284825125816109818544702052193857379561098095242924791107212162614839648500137214858358562111135253005018055731077353487055363956683427068224020049694307630338619326655941706203044237731370140848712861987447568481719540425612591329175756079302202040739047277568794187634873369632341436682479269982669052438288595268711560778715898659446765113668513425830774740196370838206264063593402718914144716819263974770740579063690398548241760081454729687039779000206917003237078307264534440083760469843402885324152557407781995702198424256343407871335915748827862973858663702062729840477527636332408989061135044936996288833217007458117273880143448833349308832791465369228418152735883800942424326041770662718949250227949614626753051751939671937824987551998298363007446034345595121995239243437582789583156788458693501326076264905726089548946740872451666687273702690052238935192246151999009534370407822669612950467366258324710471619418778846589881506187847374788919577718106271125521760034169998374775938860573076917492942786835749506497670506794801391600896647116407935176814108887569267102968789889343057150691390883390484639041017950657342529898848904426716485719757228296249085228763376311004900044485485566951652640426004476018268709496562502964565533224410207367696933320824226468257472178398169407266303308972009723822940176624405673452328065300415492360065553136676754486732496825559256940116134846895994989868310114219000740601049528280483612884421254634919485890001574761670444174904381616711082514767841707363615689673661492103393208285189113089136335345996079615830628157163951480401463138049154300114653862585082223038626232539040438066130726488650289559606985431211781972683453659331094662412}
30488 1248720329821268335858439041267122745466256581280271359735943649756556229150005163215515: {578911,1035946,1157746,1856047,2071756,2253226,2947927,3168776,3564873,3590386,5027385,5046898,5362544,5485567,5895466,5941065,6032862,6337136,6451372,6929311,7037877,7129278,7464905,8368447,8378425,8436466,8957886,9265567,9885298,10054110,10126546,10450181,10488298,10518511,10664150,10724384,10849906,11411311,11693098,11946127,12064932,12796980,13650112,13737586,14097898,14158785,14928830,14964511,15102704,15234500,15356376,15897298,16201327,16630156,16990542,17082607,17094898,17275923,17914596,18137767,18281400,18543441,19127146,19214696,19500160,20566575,20916466,21035626,21273898,21326900,21616533,21636247,21937680,22075525,22107346,22464298,23058898,23143852,23400192,23415466,23890666,24189465,24679890,25451311,25592280,25802096,25968847,26325216,26381266,26490630,26829967,27173911,27298432,27312753,27446506,28256672,28791315,29027358,29505081,29615868,30035397,30162898,30467000,30710736,30938287,31788756,31958887,33948172,34045546,34275375,34549578,35173687,35756425,36183487,36273106,36560400,36624298,36975346,37358311,37860727,38517985,38529607,38961898,38997760,39535976,40571985,40710898,41130450,41525311,41830156,42684007,42907710,43181589,43269586,43276784,43617898,43872480,43998805,44477973,45319207,45647311,45704746,45768224,46221582,46466311,46793407,46797312,47192277,48659169,48686382,48825298,48912511,49356540,50534311,50553898,50784106,51019447,51097448,51472065,51489252,51665287,52470967,52508626,52646321,52646976,52798566,53274847,53435407,53982056,54344146,54903536,55423496,55675687,56797041,57267247,57423297,57484629,58304648,59227848,59712298,60586087,60729813,60849898,61685311,61758826,61766478,62351433,62553298,62633593,63260985,63622857,63913426,64028911,64118117,64479466,64495687,64818898,65091909,65497448,65592729,65949298,66631329,66677356,66819847,66896453,67128511,67382092,67478384,67615525,67641898,68360287,68621905,68632046,70073381,70504807,71234229,71240746,71410665,73684629,73711756,74299207,74599786,74711506,74751511,75209030,75543176,75913182,75934065,76171376,76254511,76273906,76767321,76942546,77218156,77302327,77451727,77679665,78646665,78941767,80996336,81138630,81938986,82346286,82488487,82713298,82934386,83240949,83484597,83889776,83954047,84131336,84369898,84392311,84700786,84986073,85043465,85412407,85692798,86547872,87291057,87730807,88019311,88390252,89093774,89845256,89865898,90194386,90250836,90476812,91120878,91173847,91272296,91597310,92817106,93215598,93446167,93471346,93907186,94209206,94375998,94647753,95138311,95419327,95801385,96191146,96959767,97366356,97413292,97493098,97709866,98045780,98369193,99386425,99657898,...,6415351504733341973779881231536298148626011213622182367083925475956084353054667652493067982740658101606225220039864581725719440074587361538192122098137731477854130782455560471950810610036124995162712391540750844158583593005748726137776743530738950605031101321807934188538795457382862457628185538162956899235214604202942273354075832577767401381425334670552029372460135432969493136851690518506828991934500021582751565262148321413865463922029992452710138336281122039915705255292474076479931124334973680164814796592974472363316682622455518664002921100673439968191512469659245735657061204468899602435645857338463354554362317293361365857462831649163658596201644229097518093984674626748240829233679240953957134167273332066934797086959564559919936919532279523986939002211906026881044551241530841098836538708129799753390966178487275863417148523864504267779457569095402196805877865571797340729463190065836078955409499854219883175758587985143111688560998870767930374527306306108474488990243765961770948424990111823163484309734666705682340444874080110464449162711610947836916617596235073850187909529727428893596452844693754771129926944332715987062419852425995316501079112205662627618376394842430470631118631316515205106880962396595109963394238230504776039769633413485896521809806200001867815161084175368401127686302953183702181589701114402326273625856554211060513151236168753364428247202348063971150248763151956352760403702634886519964018837779091052738501044491758701318938783559678009757935004478566181004140902683717543515377297556706431467484167401518977943723304634462204961954505891424094341252735302190856401520267684515539663239974054536578783542302250264919232196026716800019690154555236881578170666959956221752636918921698680841092552444329966048627893082268804986097665843565249169160317964807989285281593470323251677724708700653992944641997464090880349023962656607498110121354758713643456801182894048309927829301919435560067552647948056574112956000263292233762133551360851548718690465470891747684009967168968323910859860220465851062887763015643918374216986683890968707597848342728144506341390062986924086149918525556268758452558738709956299175454817526787474295826385102004927361258519751217139223774297189498924267377112123810226696773730030912767010398326259109265469984502763513812526189416233603503937881318433203889459692708061415065247841868464991487445477317496741161810190868145851475279395180357516814975393623300335184298720763247034318445310700999714600032057426282327129615117445074210103684398002525450459687487704355392734020709370627505548913594286438130563050790499223813167141640065390025071769326013952687267188352517133897683090677106770400950874801207808640125654087304192982033742059700045188643135292805490159475863554500416928688001128902317893003915924607933460801483721533220444145437534484766533452507120552092352251978633752393322388104238287731862962879454316291905720931504790758651103442217072150020329359590703580555517534917660721160105104968345204582374614702736989616411999631657586572144822811182286237957149912664998826185791443305143035721838781087628525830848427217468404618813255833246186593604701351122412425060912287927237688724164727817053078290786069341647142864387186660818243922259472750205822287537843166702879507527083596616030230583045935025140602336030074541461445507928989983912559304566356597055211273069292981171352722579310638418886993763634118953303061108570916353191281452310054448512155023718904974003578657432892903067341168073847989170147670502770138746162110294556257309396095390104078371217075228895962156110868595535597822362640122182094530559668500310375504855617460896801660125640704765104327986228836111672993553297636384515111807003873623241794460787995553094094760716291454498613483591702567405494433249825511187175910820215173250023963249187198053842627229103825701413636489062655994078423875341924421940129577627909507906737481327997447544511169051518392682992858865156374184374735182688040251989114397358589134323420111308677500030910554035078358402788369227998514301555611734004419425701049387487065707429128168269884822259281771062183379366577159406688282640051254997562163908290859615376239414180253624259746505760192202087401344970674611902765221163331353900654453184834014585726037086325085726958561526925986013794848273356640074728579635842444373627843145064466507350066728228350427478960639006714027403064244843754446848299836615311051545399981236339702386208267597254110899454963458014585734410264936608510178492097950623238540098329705015131730098745238338885410174202270343992484802465171328501110901574292420725419326631881952379228835002362142505666262356572425066623772151762561045423534510492238155089812427783669633704503018994119423745942235745927220602194707073731450171980793877623334557939348808560657099196089732975434339410478146817672959025180488996641993618}
30489 1252569691691087781549251196818997623161865882247174196268347916578684818793652967300926: {1553919,1736619,2589695,2772679,3107634,3379839,3686507,3960970,4692226,4753164,5385579,5544994,6703180,7570347,7921420,8043816,8064215,8843199,9049293,9383836,9505704,9677058,9713231,10693917,11905559,11943848,12654699,13214866,13405480,13436829,14827947,15081165,15189819,15732447,15732827,15996225,16086576,16274859,16812859,17062640,17539647,18097398,18878380,19043125,19195470,20475168,20606379,20787695,21146847,21210407,21984178,22393245,22576834,22654056,22851750,23034564,23845947,23886128,24018370,24375200,24724588,24858859,24945234,25485813,25592471,25642347,26658625,26871894,27422100,28690719,28822044,28852447,28929815,29240347,29250240,29750831,31200256,31374699,31553439,31910847,31990350,32252620,32906520,33161019,33696447,34021858,34123040,34588347,34593979,34715778,35100288,35123199,35320840,35835999,36417004,37019835,37181794,37867186,38083750,38388420,38703019,38703144,39340108,39487824,39571899,39735945,40047196,40947648,41169759,42385008,42435215,42785986,42878879,43030039,43541037,43730027,44423802,44484274,44710267,45244347,45616891,45700500,45723887,46066104,47234299,47405266,47683134,48040594,48495559,48747200,48827218,49419970,50922258,51016567,51068319,51786754,51824367,52287695,54095980,54409659,54707746,54840600,54936447,55463019,56123938,56215147,57210280,57310267,57575452,58442847,58496640,59043586,59303964,59428219,61066347,61628776,61695675,61881079,62396416,62570951,62745234,62923036,63122107,63871810,64233247,64361565,64878892,64904379,64915176,65426847,65583778,65808720,66100279,66649954,67477570,67569407,68557119,68592487,68629420,68652336,69258034,69279370,69332373,70195968,70398088,70871794,72820066,72880810,73029573,73237947,73403554,73510991,73614919,74034810,75698999,75729388,75830847,76176159,76564396,76646172,76808159,77233878,78614599,78762939,78970464,79197849,79863259,80973084,81516219,81630226,81871810,82355304,83135244,83346695,84227615,84347980,84480994,84830476,85310818,86789212,86985211,87456972,87703447,88841772,89414626,89568447,90423679,91227778,91274847,92139695,92181599,92638239,92649717,93338927,93829947,93860779,94428970,94978972,95214220,95870139,96144034,96522695,96719199,97228347,98246172,98923947,99447119,99904258,...,9623027257100012960669821847304447222939016820433273550625888213934126529582001478739601974110987152409337830059796872588579160111881042307288183147206597216781196173683340707926215915054187492744068587311126266237875389508623089206665115296108425907546651982711901282808193186074293686442278307244435348852821906304413410031113748866651102072138002005828044058690203149454239705277535777760243487901750032374127347893222482120798195883044988679065207504421683059873557882938711114719896686502460520247222194889461708544975023933683277996004381651010159952287268704488868603485591806703349403653468786007695031831543475940042048786194247473745487894302466343646277140977011940122361243850518861430935701250909998100402195630439346839879905379298419285980408503317859040321566826862296261648254808062194699630086449267730913795125722785796756401669186353643103295208816798357696011094194785098754118433114249781329824763637881977714667532841498306151895561790959459162711733485365648942656422637485167734745226464602000058523510667311120165696673744067416421755374926394352610775281864294591143340394679267040632156694890416499073980593629778638992974751618668308493941427564592263645705946677946974772807660321443594892664945091357345757164059654450120228844782714709300002801722741626263052601691529454429775553272384551671603489410438784831316590769726854253130046642370803522095956725373144727934529140605553952329779946028256668636579107751566737638051978408175339517014636902506717849271506211354025576315273065946335059647201226251102278466915584956951693307442931758837136141511879102953286284602280401526773309494859961081804868175313453375397378848294040075200029535231832855322367256000439934332628955378382548021261638828666494949072941839623403207479146498765347873753740476947211983927922390205484877516587063050980989416962996196136320523535943984911247165182032138070465185201774341072464891743952879153340101328971922084861169434000394938350643200327041277323078035698206337621526014950753452485866289790330698776594331644523465877561325480025836453061396772514092216759512085094480386129224877788334403137678838108064934448763182226290181211443739577653007391041887779626825708835661445784248386401065668185715340045160595046369150515597489388663898204976754145270718789284124350405255906821977649805834189539062092122597871762802697487231168215976245111742715286302218777212919092770536275222463090434950502776448081144870551477667966051499571900048086139423490694422676167611315155526597003788175689531231556533089101031064055941258323370391429657195844576185748835719750712460098085037607653989020929030900782528775700846524636015660155601426312201811712960188481130956289473050613089550067782964702939208235239213795331750625393032001693353476839505873886911900191202225582299830666218156301727149800178760680828138528377967950628589983582156357431597794444319181474437858581397257186137976655163325608225030494039386055370833276302376491081740157657452517806873561922054105484424617999447486379858217234216773429356935724868997498239278687164957714553582758171631442788746272640826202606928219883749869279890407052026683618637591368431890856533086247091725579617436179104012470714296580779991227365883389209125308733431306764750054319261290625394924045345874568902537710903504045111812192168261893484975868838956849534895582816909603939471757029083868965957628330490645451178429954591662856374529786922178465081672768232535578357461005367986149339354601011752110771983755221505754155208119243165441834385964094143085156117556825612843343943234166302893303396733543960183273141795839502750465563257283426191345202490188461057147656491979343254167509490329946454576772667710505810434862691691181993329641142141074437181747920225387553851108241649874738266780763866230322759875035944873780797080763940843655738552120454733593983991117635813012886632910194366441864261860106221991996171316766753577277589024489288297734561276562102774032060377983671596037883701485130166963016250046365831052617537604182553841997771452333417601006629138551574081230598561143692252404827233388922656593275069049865739110032423960076882496343245862436289423064359121270380436389619758640288303131102017456011917854147831744997030850981679777251021878589055629487628590437842290388979020692272410034960112092869453763666560441764717596699761025100092342525641218440958510071041104596367265631670272449754922966577318099971854509553579312401395881166349182445187021878601615397404912765267738146925934857810147494557522697595148117857508328115261303405515988727203697756992751666352361438631088128989947822928568843252503543213758499393534858637599935658227643841568135301765738357232634718641675504450556754528491179135618913353618890830903292060610597175257971190816435001836909023212840985648794134599463151509115717220226509438537770733494962990427}
30490 1256430851137221791254090458887321969877236539747123701716066785567367425809036503595378: {700741,1157822,1248409,1795429,2071892,2315492,3069289,3712094,4143512,4506452,4520809,4661451,5063941,5895854,5941455,5967721,6337552,7038339,7129746,7180772,8317491,8378975,8847721,9901775,10054770,10093796,10450867,10638361,10725088,10971134,11729795,11790932,11882130,12065689,12065724,12599749,12674272,12902744,12955429,13310821,13843369,13858622,14075754,14258556,14375269,14515587,14929810,16736894,16756850,16848901,16872932,17025049,17915772,18431641,18531134,19483561,19770596,19822299,20108220,20253092,20882089,20900362,20976596,21037022,21328300,21448768,21699812,22822622,22971241,23386196,23597975,23892254,24129864,24358249,24531301,25395481,25593960,27146097,27300224,27475172,28148761,28195796,28317570,28793205,29857660,29929022,30205408,30469000,30712752,30905735,31224169,31794596,32074309,32402654,32413861,32976267,33260312,33769189,33865251,33981084,34107301,34165214,34189796,34277625,34551846,34782661,34951321,35829192,36027555,36275534,36562800,36801829,37086882,37417851,37472581,37640089,38254292,38429392,39000320,39644569,39811141,40307841,40315775,41133150,41472901,41832932,42071252,42547796,42653800,42962329,43233066,43272494,43787269,43875360,44151050,44214692,44928596,45521255,46117796,46287704,46742149,46800384,46830932,47781332,47985525,48378930,48861721,49175135,49359780,50058995,50902622,51032787,51184560,51292261,51604192,51937694,52073667,52650432,52762532,52903621,52981260,53546149,53659934,53925179,54347822,54596864,54625506,54893012,55147429,55626409,55772691,56264041,56513344,56800779,56900521,57125625,57582630,57694501,58054716,59010162,59119129,59231736,59277061,60070794,60325796,60695209,60934000,61421472,61598327,61876574,62420581,62577001,63577512,63917774,64178979,65069929,65845189,66635703,66726411,66927529,67236121,67619975,67896344,68091092,68550750,68928229,69099156,70002251,70347374,71069221,71107899,71221609,71512850,71524701,71969315,72060891,72366974,72546212,73120800,73240827,73248596,73950692,74021519,74103301,74129955,74706661,74716622,75007909,75308869,75721454,76060009,76359961,76383387,77035970,77059214,77258089,77556889,77680131,77923796,77995520,78451561,78600421,78653795,79071952,79492069,80233129,80972389,81098615,81143970,81421796,81562501,82061619,82260900,82739269,83050622,83472409,83660312,84185907,84495781,85368014,85786775,85815420,86363178,86539172,86553568,87111109,87235796,87544729,87744960,87997610,88553989,88565379,88955946,89703109,90638414,90847621,91294622,91409492,91536448,92413801,92443164,92932622,93586814,93594624,94117851,94384554,94661735,95379589,95705495,95807715,96070667,97318338,97372764,97650596,97825022,98375667,98591401,98713080,99974931,...,12830703009466683947559762463072596297252022427244364734167850951912168706109335304986135965481316203212450440079729163451438880149174723076384244196275462955708261564911120943901621220072249990325424783081501688317167186011497452275553487061477901210062202643615868377077590914765724915256371076325913798470429208405884546708151665155534802762850669341104058744920270865938986273703381037013657983869000043165503130524296642827730927844059984905420276672562244079831410510584948152959862248669947360329629593185948944726633365244911037328005842201346879936383024939318491471314122408937799204871291714676926709108724634586722731714925663298327317192403288458195036187969349253496481658467358481907914268334546664133869594173919129119839873839064559047973878004423812053762089102483061682197673077416259599506781932356974551726834297047729008535558915138190804393611755731143594681458926380131672157910818999708439766351517175970286223377121997741535860749054612612216948977980487531923541896849980223646326968619469333411364680889748160220928898325423221895673833235192470147700375819059454857787192905689387509542259853888665431974124839704851990633002158224411325255236752789684860941262237262633030410213761924793190219926788476461009552079539266826971793043619612400003735630322168350736802255372605906367404363179402228804652547251713108422121026302472337506728856494404696127942300497526303912705520807405269773039928037675558182105477002088983517402637877567119356019515870008957132362008281805367435087030754595113412862934968334803037955887446609268924409923909011782848188682505470604381712803040535369031079326479948109073157567084604500529838464392053433600039380309110473763156341333919912443505273837843397361682185104888659932097255786164537609972195331687130498338320635929615978570563186940646503355449417401307985889283994928181760698047925313214996220242709517427286913602365788096619855658603838871120135105295896113148225912000526584467524267102721703097437380930941783495368019934337936647821719720440931702125775526031287836748433973367781937415195696685456289012682780125973848172299837051112537516905117477419912598350909635053574948591652770204009854722517039502434278447548594378997848534754224247620453393547460061825534020796652518218530939969005527027625052378832467207007875762636866407778919385416122830130495683736929982974890954634993482323620381736291702950558790360715033629950787246600670368597441526494068636890621401999429200064114852564654259230234890148420207368796005050900919374975408710785468041418741255011097827188572876261126101580998447626334283280130780050143538652027905374534376705034267795366181354213540801901749602415617280251308174608385964067484119400090377286270585610980318951727109000833857376002257804635786007831849215866921602967443066440888290875068969533066905014241104184704503957267504786644776208476575463725925758908632583811441863009581517302206884434144300040658719181407161111035069835321442320210209936690409164749229405473979232823999263315173144289645622364572475914299825329997652371582886610286071443677562175257051661696854434936809237626511666492373187209402702244824850121824575854475377448329455634106156581572138683294285728774373321636487844518945500411644575075686333405759015054167193232060461166091870050281204672060149082922891015857979967825118609132713194110422546138585962342705445158621276837773987527268237906606122217141832706382562904620108897024310047437809948007157314865785806134682336147695978340295341005540277492324220589112514618792190780208156742434150457791924312221737191071195644725280244364189061119337000620751009711234921793603320251281409530208655972457672223345987106595272769030223614007747246483588921575991106188189521432582908997226967183405134810988866499651022374351821640430346500047926498374396107685254458207651402827272978125311988156847750683848843880259155255819015813474962655994895089022338103036785365985717730312748368749470365376080503978228794717178268646840222617355000061821108070156716805576738455997028603111223468008838851402098774974131414858256336539769644518563542124366758733154318813376565280102509995124327816581719230752478828360507248519493011520384404174802689941349223805530442326662707801308906369668029171452074172650171453917123053851972027589696546713280149457159271684888747255686290128933014700133456456700854957921278013428054806128489687508893696599673230622103090799962472679404772416535194508221798909926916029171468820529873217020356984195901246477080196659410030263460197490476677770820348404540687984969604930342657002221803148584841450838653263763904758457670004724285011332524713144850133247544303525122090847069020984476310179624855567339267409006037988238847491884471491854441204389414147462900343961587755246669115878697617121314198392179465950868678820956293635345918050360977993283987236}
30491 1260303844107719719098197491207979585430242441481673092793111289808652242414440044370239: {30491,1736733,2589865,2894365,3107838,3473238,3625573,3686749,4356781,5179390,5545358,5568141,5633065,6215268,6759678,7373014,7921940,8843781,8975965,9384452,9506328,10383109,10694619,10771158,11089988,11289901,11479273,12617245,13306213,13406360,14738665,15082155,15140694,15842840,16087632,16128430,16456701,17686398,17738941,17823195,18098586,18593341,18767672,19011408,19354116,19426462,20787933,21091165,21113631,21387834,22245061,22394715,23705749,23811118,23887696,24311173,24713245,25105341,25135275,25309398,25316365,25896781,26220745,26429732,26660375,26810960,26873658,27124765,27357469,27796701,28692661,29102773,29232745,29655894,29752789,30162330,30379638,31350543,31464894,31465654,31555533,31992450,32173152,32549718,33625718,34125280,34233933,34343965,35079294,35160073,35244745,35838381,36194796,36696421,37322075,37746181,37756760,38086250,38390940,39743245,40501741,40950336,41212758,41575390,42293694,42420814,42476355,42737245,42881701,43968356,44786490,44893533,45153668,45308112,45703500,46069128,46391389,47691894,47772256,47817865,47923453,48036740,48603981,48750400,49449176,49717718,49890468,50971626,51184942,51247821,51284694,51680941,51827769,52019533,52291165,52367821,52589065,53184745,53317250,53743788,54037321,54413301,54844200,55216813,55237573,55268365,55630323,55684981,56160745,57381438,57644088,57647245,57674221,57704894,57859630,58480694,58500480,58538665,58586581,59409301,59501662,59726665,61699725,62400512,62575069,62749398,63106878,63821694,63980700,64333513,64505240,64849599,64908741,65519173,65813040,65953165,66226575,66322038,66886189,67392894,68043716,68246080,68616265,69176694,69187958,69431556,70200576,70246398,70254349,70542541,70641680,71671998,72568395,72834008,73202773,73515829,74039670,74363588,75407245,75518749,75541741,75703981,75734372,76002889,76167500,76353933,76776840,77096893,77406038,77406288,77839141,77906541,78680216,78975648,79143798,79471890,79503589,80094392,80489901,81521733,81895296,81938259,82339518,84770016,84870430,85113865,85440421,85571972,85757758,85844413,86041573,86060078,86373945,87082074,87460054,88515243,88626061,88847604,88968548,89394349,89420534,90106191,90488694,90682765,91233782,91401000,91447774,91560745,92028541,92132208,92438365,92814861,93211561,94003261,94468598,94810532,95366268,95876661,96081188,96991118,97292701,97404745,97494400,97654436,98839940,...,19246054514200025921339643694608894445878033640866547101251776427868253059164002957479203948221974304818675660119593745177158320223762084614576366294413194433562392347366681415852431830108374985488137174622252532475750779017246178413330230592216851815093303965423802565616386372148587372884556614488870697705643812608826820062227497733302204144276004011656088117380406298908479410555071555520486975803500064748254695786444964241596391766089977358130415008843366119747115765877422229439793373004921040494444389778923417089950047867366555992008763302020319904574537408977737206971183613406698807306937572015390063663086951880084097572388494947490975788604932687292554281954023880244722487701037722861871402501819996200804391260878693679759810758596838571960817006635718080643133653724592523296509616124389399260172898535461827590251445571593512803338372707286206590417633596715392022188389570197508236866228499562659649527275763955429335065682996612303791123581918918325423466970731297885312845274970335469490452929204000117047021334622240331393347488134832843510749852788705221550563728589182286680789358534081264313389780832998147961187259557277985949503237336616987882855129184527291411893355893949545615320642887189785329890182714691514328119308900240457689565429418600005603445483252526105203383058908859551106544769103343206978820877569662633181539453708506260093284741607044191913450746289455869058281211107904659559892056513337273158215503133475276103956816350679034029273805013435698543012422708051152630546131892670119294402452502204556933831169913903386614885863517674272283023758205906572569204560803053546618989719922163609736350626906750794757696588080150400059070463665710644734512000879868665257910756765096042523277657332989898145883679246806414958292997530695747507480953894423967855844780410969755033174126101961978833925992392272641047071887969822494330364064276140930370403548682144929783487905758306680202657943844169722338868000789876701286400654082554646156071396412675243052029901506904971732579580661397553188663289046931755122650960051672906122793545028184433519024170188960772258449755576668806275357676216129868897526364452580362422887479155306014782083775559253651417671322891568496772802131336371430680090321190092738301031194978777327796409953508290541437578568248700810511813643955299611668379078124184245195743525605394974462336431952490223485430572604437554425838185541072550444926180869901005552896162289741102955335932102999143800096172278846981388845352335222630311053194007576351379062463113066178202062128111882516646740782859314391689152371497671439501424920196170075215307978041858061801565057551401693049272031320311202852624403623425920376962261912578946101226179100135565929405878416470478427590663501250786064003386706953679011747773823800382404451164599661332436312603454299600357521361656277056755935901257179967164312714863195588888638362948875717162794514372275953310326651216450060988078772110741666552604752982163480315314905035613747123844108210968849235998894972759716434468433546858713871449737994996478557374329915429107165516343262885577492545281652405213856439767499738559780814104053367237275182736863781713066172494183451159234872358208024941428593161559982454731766778418250617466862613529500108638522581250789848090691749137805075421807008090223624384336523786969951737677913699069791165633819207878943514058167737931915256660981290902356859909183325712749059573844356930163345536465071156714922010735972298678709202023504221543967510443011508310416238486330883668771928188286170312235113651225686687886468332605786606793467087920366546283591679005500931126514566852382690404980376922114295312983958686508335018980659892909153545335421011620869725383382363986659282284282148874363495840450775107702216483299749476533561527732460645519750071889747561594161527881687311477104240909467187967982235271626025773265820388732883728523720212443983992342633533507154555178048978576595469122553124205548064120755967343192075767402970260333926032500092731662105235075208365107683995542904666835202013258277103148162461197122287384504809654466777845313186550138099731478220064847920153764992686491724872578846128718242540760872779239517280576606262204034912023835708295663489994061701963359554502043757178111258975257180875684580777958041384544820069920224185738907527333120883529435193399522050200184685051282436881917020142082209192734531263340544899509845933154636199943709019107158624802791762332698364890374043757203230794809825530535476293851869715620294989115045395190296235715016656230522606811031977454407395513985503332704722877262176257979895645857137686505007086427516998787069717275199871316455287683136270603531476714465269437283351008901113509056982358271237826707237781661806584121221194350515942381632870003673818046425681971297588269198926303018231434440453018877075541466989925980854}
30492 1264188706659532552473720175342267100555368467616214379613480845400332851155287323995279: {700787,1309307,1401482,1856291,2315644,2496818,2705867,3069491,3130067,3590858,4143784,4581491,4630984,4661757,5209857,5245187,5426027,6028307,6138578,6749987,7050347,7230467,7424188,7590491,7769085,8129987,8287024,8318037,8489291,9012904,9041618,9322902,9386291,9902425,9983291,10127882,10139517,10639067,10817747,11059521,11234387,11412827,11531747,11710067,11730565,11791708,11882910,11935442,12066491,12659891,12675104,13015547,13862485,13903427,14076678,14259492,14361544,14376227,15084467,15261347,16156737,16421713,16634982,16757950,17084891,17695442,18315827,18491387,19134491,19659947,19803550,20068187,20109540,20187592,20901734,21276722,21450176,21813347,21942268,21987467,22335491,22711041,22856987,23459590,23581864,23764260,24013547,24131378,24131448,24192645,24359891,24417587,24590627,25199498,25348544,25454747,25569827,25805488,25910858,26087291,26529597,26621642,26948291,27147879,27177587,27686738,27717244,28151508,28517112,28750538,29031174,29139693,29235491,29748347,29859620,30032987,30601667,30885707,31283027,31453187,32076491,32081751,32133107,32416067,32585747,33037165,33150827,33473788,33513700,33697802,33745864,33827867,34050098,34616291,35716677,35795987,35831544,36524507,36863282,37062268,37475147,37698491,37964097,37977491,38479187,38967122,39541192,39644598,39647291,40216440,40310487,40506184,41531027,41641547,41764178,41800724,41953192,42074044,42359147,42656600,42689891,42897536,43020347,43268029,43399624,44339291,44483841,44668307,45106547,45243495,45434891,45569457,45645244,45762947,45942482,46581827,46772392,46799891,47195950,47197341,47198481,47784508,47988675,48259728,48716498,48824577,48919307,49062602,49514891,49839347,50055491,50438577,50790962,51187920,51349667,52263587,52478291,52618941,53282291,53549891,53603387,54031067,54292194,54351491,54600448,54671627,54950344,54960445,55204547,55683491,56297522,56391592,56427227,56442085,56635140,56798507,56957507,57129375,57586410,57751427,58385267,58649027,59123291,59175947,59333867,59596907,59715320,59858044,60045925,60410816,60699491,60751907,60938000,61425504,61811470,61819137,62320667,62363085,62448338,62581427,63440541,63589192,63631221,63729757,64141787,64148618,64349291,64805308,64827722,65074547,65126291,65901491,65952534,66520624,66932291,66983747,67179735,67240907,67538378,67703291,67730502,67962168,68011187,68214602,68330428,68379592,68472491,68555250,68845189,69103692,69290987,69565322,69902642,70082593,70769291,70972667,71226707,71277491,71537841,71658384,72055110,72291491,72551068,72746747,73125600,73603658,74173764,74576577,74611547,74762267,74835702,74862707,74945162,75013307,75280178,75364427,75514787,75765227,76065491,76265507,76365467,76457439,76508584,76777413,76858784,76927041,77313491,77562491,77612267,78000640,78010187,79052291,79289138,79622282,79975875,80238947,80615682,80631550,81322667,81568427,82266300,82729933,82745291,82945802,83665864,83966291,84142504,84501947,85054645,85095592,85307600,85924658,86072157,86441627,86466132,86544988,86557341,86789445,87479977,87551147,87574538,87721041,87750720,87839891,88302100,88429384,88560491,88608467,89252493,89757491,89857192,90044027,91042510,91852067,92235592,92575408,92893547,92954485,93271307,93484298,93554291,93600768,93661864,94124097,94448507,94660317,94667965,94730291,95209375,95246147,95386667,95433491,95562664,95732541,95971050,96134891,96757860,97113827,97532291,97723442,97810907,98181947,98350270,98459891,98719560,98922491,99338147,99483057,99891347,...,28869081771300038882009465541913341668817050461299820651877664641802379588746004436218805922332961457228013490179390617765737480335643126921864549441619791650343588521050022123778647745162562478232205761933378798713626168525869267619995345888325277722639955948135703848424579558222881059326834921733306046558465718913240230093341246599953306216414006017484132176070609448362719115832607333280730463705250097122382043679667446362394587649134966037195622513265049179620673648816133344159690059507381560741666584668385125634925071801049833988013144953030479856861806113466605810456775420110048210960406358023085095494630427820126146358582742421236463682907399030938831422931035820367083731551556584292807103752729994301206586891318040519639716137895257857941225509953577120964700480586888784944764424186584098890259347803192741385377168357390269205007559060929309885626450395073088033282584355296262355299342749343989474290913645933144002598524494918455686685372878377488135200456096946827969267912455503204235679393806000175570532001933360497090021232202249265266124779183057832325845592883773430021184037801121896470084671249497221941780889335916978924254856004925481824282693776790937117840033840924318422980964330784677994835274072037271492178963350360686534348144127900008405168224878789157805074588363289326659817153655014810468231316354493949772309180562759390139927112410566287870176119434183803587421816661856989339838084770005909737323254700212914155935224526018551043910707520153547814518634062076728945819197839005178941603678753306835400746754870855079922328795276511408424535637308859858853806841204580319928484579883245414604525940360126192136544882120225600088605695498565967101768001319802997886866135147644063784916485999484847218825518870209622437439496296043621261221430841635951783767170616454632549761189152942968250888988588408961570607831954733741495546096414211395555605323023217394675231858637460020303986915766254583508302001184815051929600981123831969234107094619012864578044852260357457598869370992096329782994933570397632683976440077509359184190317542276650278536255283441158387674633365003209413036514324194803346289546678870543634331218732959022173125663338880477126506984337352745159203197004557146020135481785139107451546792468165991694614930262435812156367852373051215767720465932949417502568617186276367793615288408092461693504647928735335228145858906656331638757278311608825667389271304851508329344243434611654433003898154498715700144258418270472083268028502833945466579791011364527068593694669599267303093192167823774970111174288971587533728557246507159252137380294255112822961967062787092702347586327102539573908046980466804278936605435138880565443392868868419151839268650203348894108817624705717641385995251876179096005080060430518517621660735700573606676746899491998654468905181449400536282042484415585133903851885769950746469072294793383332957544423313575744191771558413929965489976824675091482118158166112499828907129473245220472972357553420620685766162316453273853998342459139574651702650320288070807174606992494717836061494873143660748274514894328366238817922478607820784659651249607839671221156080050855912774105295672569599258741275176738852308537312037412142889742339973682097650167627375926200293920294250162957783871876184772136037623706707613132710512135335436576504785680454927606516870548604686748450728811818415271087251606897872884991471936353535289863774988569123589360766535395245018304697606735072383016103958448018063803035256332315951265664517262465624357729496325503157892282429255468352670476838530031829702498908679910190200631880549819425387518508251396689771850278574035607470565383171442969475938029762502528470989839363730318003131517431304588075073545979988923426423223311545243760676162661553324724949624214800342291598690968279625107834621342391242291822530967215656361364200781951973352907439038659898730583099325592785580318665975988513950300260731832767073467864893203683829686308322096181133951014788113651104455390500889048750139097493157852612812547661525993314357000252803019887415654722243691795683431076757214481700166767969779825207149597217330097271880230647489029737587308868269193077363811141309168859275920864909393306052368035753562443495234991092552945039331753065635767166888462885771313526871166937062076817230104880336278608361290999681325294152790099283075300277027576923655322875530213123313789101796895010817349264768899731954299915563528660737937204187643499047547335561065635804846192214738295803214440777804573430442483672568092785444353572524984345783910216547966181611093270978254999057084315893264386969843468785706529757510629641275498180604575912799806974682931524704405905297215071697904155925026513351670263585473537406856740060856672492709876181831791525773913572449305005510727069638522956946382403798389454527347151660679528315613312200484888971281}
30493 1268085474958840907708624105917348247215632423383239728979233206969652730901774829326541: {30493,60982,2102223,2894555,3473466,3625811,3745227,4052111,4357067,5148923,5179730,5386287,5788730,6215676,6946476,7251146,7373498,7886291,8713562,9207867,9280235,10358780,11090716,11136282,11266130,12270947,12430536,12566351,13519356,13562427,13984353,14739635,14746028,15191823,15843880,17664143,17687562,17824365,17903163,17951930,18768904,19012656,20634131,20766218,20964203,21115017,21389238,21542316,22179976,22579802,22958546,24862127,24952473,25136925,25234490,26420207,26543163,26612426,26812720,27171311,27427835,29244191,29477330,29527631,29705325,30092303,30164310,30281388,31352601,31685680,31915083,32175264,32256860,32648171,32913402,34598543,34646555,35162387,35189385,35372796,35442911,35477882,35646390,36197067,36197172,36709043,37186682,37324525,37535344,37730123,37799247,37974671,38022816,38708232,38852924,38866287,39932463,40925843,41013647,41530107,41575866,41842235,41892125,42182330,42227262,42775668,43125807,43546761,44490122,44609123,44789430,46327835,46851023,47411498,47622236,47775392,47926607,48081551,48622346,49342643,49426490,50210682,50270550,50546703,50618796,50632730,51075147,51793562,52250905,52441490,52592555,52859464,53320750,53621920,53747316,53782907,54249530,54361967,54714938,54826187,55220447,55294923,55593402,55607087,55640543,56270051,57056555,57385322,58205546,58450683,58465490,59311788,59466897,59505578,59620283,59730635,59832143,60324660,60759276,61444463,61736111,61889243,62646267,62701086,62929788,62931308,63111066,63984900,64337747,64346304,65099436,65809523,66890591,66945011,67251436,68160443,68250560,68467866,68687930,68770307,68913723,70158588,70258991,70320146,70489490,70793925,71676762,71939423,72389592,73074747,73207631,73227311,73392842,73593903,73624691,74225327,74458643,74644150,74822555,75334331,75492362,75513520,76007891,76172500,76186443,76207307,76781880,77101967,77375711,78625043,79486490,79710347,80168891,80706143,80921411,81003482,81006635,81438291,81900672,81954131,82425516,83027867,83150780,83617331,83997323,84446283,84587388,84841628,84952710,85413035,85422371,85474490,85763402,86379615,86996687,87936712,89276603,89572980,89787066,90058991,90307336,90616224,90688835,91407000,92138256,92334431,92717205,92782778,93672507,93958787,95383788,95544512,95635730,95846906,96062771,96073480,96164111,96222927,97207962,97241583,97500800,98898352,98928801,99435436,99780936,99998531,...,38492109028400051842679287389217788891756067281733094202503552855736506118328005914958407896443948609637351320239187490354316640447524169229152732588826388867124784694733362831704863660216749970976274349244505064951501558034492356826660461184433703630186607930847605131232772744297174745769113228977741395411287625217653640124454995466604408288552008023312176234760812597816958821110143111040973951607000129496509391572889928483192783532179954716260830017686732239494231531754844458879586746009842080988888779557846834179900095734733111984017526604040639809149074817955474413942367226813397614613875144030780127326173903760168195144776989894981951577209865374585108563908047760489444975402075445723742805003639992401608782521757387359519621517193677143921634013271436161286267307449185046593019232248778798520345797070923655180502891143187025606676745414572413180835267193430784044376779140395016473732456999125319299054551527910858670131365993224607582247163837836650846933941462595770625690549940670938980905858408000234094042669244480662786694976269665687021499705577410443101127457178364573361578717068162528626779561665996295922374519114555971899006474673233975765710258369054582823786711787899091230641285774379570659780365429383028656238617800480915379130858837200011206890966505052210406766117817719102213089538206686413957641755139325266363078907417012520186569483214088383826901492578911738116562422215809319119784113026674546316431006266950552207913632701358068058547610026871397086024845416102305261092263785340238588804905004409113867662339827806773229771727035348544566047516411813145138409121606107093237979439844327219472701253813501589515393176160300800118140927331421289469024001759737330515821513530192085046555314665979796291767358493612829916585995061391495014961907788847935711689560821939510066348252203923957667851984784545282094143775939644988660728128552281860740807097364289859566975811516613360405315887688339444677736001579753402572801308165109292312142792825350486104059803013809943465159161322795106377326578093863510245301920103345812245587090056368867038048340377921544516899511153337612550715352432259737795052728905160724845774958310612029564167551118507302835342645783136993545604262672742861360180642380185476602062389957554655592819907016581082875157136497401621023627287910599223336758156248368490391487051210789948924672863904980446970861145208875108851676371082145100889852361739802011105792324579482205910671864205998287600192344557693962777690704670445260622106388015152702758124926226132356404124256223765033293481565718628783378304742995342879002849840392340150430615956083716123603130115102803386098544062640622405705248807246851840753924523825157892202452358200271131858811756832940956855181327002501572128006773413907358023495547647600764808902329199322664872625206908599200715042723312554113511871802514359934328625429726391177777276725897751434325589028744551906620653302432900121976157544221483333105209505964326960630629810071227494247688216421937698471997789945519432868936867093717427742899475989992957114748659830858214331032686525771154985090563304810427712879534999477119561628208106734474550365473727563426132344988366902318469744716416049882857186323119964909463533556836501234933725227059000217277045162501579696181383498275610150843614016180447248768673047573939903475355827398139582331267638415757887028116335475863830513321962581804713719818366651425498119147688713860326691072930142313429844021471944597357418404047008443087935020886023016620832476972661767337543856376572340624470227302451373375772936665211573213586934175840733092567183358011001862253029133704765380809960753844228590625967917373016670037961319785818307090670842023241739450766764727973318564568564297748726991680901550215404432966599498953067123055464921291039500143779495123188323055763374622954208481818934375935964470543252051546531640777465767457047440424887967984685267067014309110356097957153190938245106248411096128241511934686384151534805940520667852065000185463324210470150416730215367991085809333670404026516554206296324922394244574769009619308933555690626373100276199462956440129695840307529985372983449745157692257436485081521745558479034561153212524408069824047671416591326979988123403926719109004087514356222517950514361751369161555916082769089640139840448371477815054666241767058870386799044100400369370102564873763834040284164418385469062526681089799019691866309272399887418038214317249605583524665396729780748087514406461589619651061070952587703739431240589978230090790380592471430033312461045213622063954908814791027971006665409445754524352515959791291714275373010014172855033997574139434550399742632910575366272541207062953428930538874566702017802227018113964716542475653414475563323613168242442388701031884763265740007347636092851363942595176538397852606036462868880906037754151082933979851961708}
30494 1271994185281384007878476606749637377650944222576082194498243398382320470667360964286206: {91473,1401574,2038609,2618614,2802964,3130273,3712582,3856609,4631288,4993636,5210199,5411734,5486653,6138982,6260134,6750433,7181716,7290973,7769595,8190433,8287568,8549713,8683095,9162982,9261968,9267409,9323514,9446653,10419714,10490374,10852054,10876719,11060247,11948509,12056614,12277156,12948475,13070343,13499974,13863395,14100694,14460934,14848376,15180982,15538170,16259974,16381009,16422791,16574048,16636074,16704423,16899195,16978582,17262109,18025808,18083236,18317053,18432535,18645804,18772582,18843553,19194193,19407479,19719613,19804850,19966582,20255764,20279034,20593873,21278134,21635494,21814813,22119042,22468774,22825654,23063494,23420134,23461130,23583416,23765820,23870884,24072913,24132982,24419233,25283773,25319782,25350208,26031094,26146513,26531343,26835409,26927895,27724970,27806854,28153356,28518984,28552609,28723088,28752454,30091933,30168934,30522694,30944593,31149327,32083857,32135293,32313474,32843426,33269964,33515900,33869703,34169782,34437819,35390884,36631654,36982774,37851735,38035873,38268982,38537533,38704609,39319894,39607100,39918639,40136374,40219080,40321075,40375184,41803468,42553444,42692833,42900352,43626694,43884536,43974934,44215995,44670982,45246465,45328609,45422082,45713974,46252031,46919180,46966609,47163728,47528520,47782909,48027094,48262756,48262896,48385290,48566155,48719782,48835174,49181254,49370103,49572433,50058973,50398996,50697088,50909494,51139654,51191713,51610976,51821716,52174582,52481953,53059194,53216823,53243284,53446609,53469585,53607133,53896582,54295758,54355174,55373476,55434488,55780023,56303016,57034224,57438109,57501076,58062348,58279386,58470982,59180113,59496694,59527795,59719240,60065974,60756193,61203334,61771414,62363799,62566054,62906374,63273495,63340893,64152982,64163502,64266214,64664893,64832134,65130913,65171494,66074330,66301654,66679633,66735183,66947576,66988513,67027400,67184145,67395604,67491728,67655734,68100196,68374909,69142609,69232582,71117247,71282593,71433354,71591974,71663088,72347293,72933519,73049014,73711009,73726564,74124536,74139735,74315233,74466109,74950294,75316023,75396982,75405825,75820753,75928194,75949095,75954982,76944623,76958374,77468509,77617873,77690343,77934244,78662235,78664135,79018919,79082384,79289196,79294582,79981125,80432880,80620974,81012368,81328573,81374295,82072407,83062054,83283094,83386909,83390103,83528356,83601448,83906384,84064295,84118609,84148088,84718294,84739567,85313200,85379782,85795072,86040694,86077983,86536058,86799248,87308319,87698235,87750109,88614973,88678582,88967682,89258367,89336614,90213094,90486990,90869782,91138914,91290488,91525894,91884964,91906273,92900413,93163654,93544784,93599782,93608353,94051629,94391900,94394682,94396962,94666599,95215625,95440573,95569016,95581009,95977350,96519456,96797371,97121053,97432996,97539553,97649154,97771739,97838614,98125204,98513533,99029782,99678694,...,57738163542600077764018931083826683337634100922599641303755329283604759177492008872437611844665922914456026980358781235531474960671286253843729098883239583300687177042100044247557295490325124956464411523866757597427252337051738535239990691776650555445279911896271407696849159116445762118653669843466612093116931437826480460186682493199906612432828012034968264352141218896725438231665214666561460927410500194244764087359334892724789175298269932074391245026530098359241347297632266688319380119014763121483333169336770251269850143602099667976026289906060959713723612226933211620913550840220096421920812716046170190989260855640252292717165484842472927365814798061877662845862071640734167463103113168585614207505459988602413173782636081039279432275790515715882451019907154241929400961173777569889528848373168197780518695606385482770754336714780538410015118121858619771252900790146176066565168710592524710598685498687978948581827291866288005197048989836911373370745756754976270400912193893655938535824911006408471358787612000351141064003866720994180042464404498530532249558366115664651691185767546860042368075602243792940169342498994443883561778671833957848509712009850963648565387553581874235680067681848636845961928661569355989670548144074542984357926700721373068696288255800016810336449757578315610149176726578653319634307310029620936462632708987899544618361125518780279854224821132575740352238868367607174843633323713978679676169540011819474646509400425828311870449052037102087821415040307095629037268124153457891638395678010357883207357506613670801493509741710159844657590553022816849071274617719717707613682409160639856969159766490829209051880720252384273089764240451200177211390997131934203536002639605995773732270295288127569832971998969694437651037740419244874878992592087242522442861683271903567534341232909265099522378305885936501777977176817923141215663909467482991092192828422791111210646046434789350463717274920040607973831532509167016604002369630103859201962247663938468214189238025729156089704520714915197738741984192659565989867140795265367952880155018718368380635084553300557072510566882316775349266730006418826073028648389606692579093357741087268662437465918044346251326677760954253013968674705490318406394009114292040270963570278214903093584936331983389229860524871624312735704746102431535440931865898835005137234372552735587230576816184923387009295857470670456291717813312663277514556623217651334778542609703016658688486869223308866007796308997431400288516836540944166536057005667890933159582022729054137187389339198534606186384335647549940222348577943175067457114493014318504274760588510225645923934125574185404695172654205079147816093960933608557873210870277761130886785737736838303678537300406697788217635249411435282771990503752358192010160120861037035243321471401147213353493798983997308937810362898801072564084968831170267807703771539901492938144589586766665915088846627151488383543116827859930979953649350182964236316332224999657814258946490440945944715106841241371532324632906547707996684918279149303405300640576141614349213984989435672122989746287321496549029788656732477635844957215641569319302499215679342442312160101711825548210591345139198517482550353477704617074624074824285779484679947364195300335254751852400587840588500325915567743752369544272075247413415226265421024270670873153009571360909855213033741097209373496901457623636830542174503213795745769982943872707070579727549977138247178721533070790490036609395213470144766032207916896036127606070512664631902531329034524931248715458992651006315784564858510936705340953677060063659404997817359820380401263761099638850775037016502793379543700557148071214941130766342885938951876059525005056941979678727460636006263034862609176150147091959977846852846446623090487521352325323106649449899248429600684583197381936559250215669242684782484583645061934431312722728401563903946705814878077319797461166198651185571160637331951977027900600521463665534146935729786407367659372616644192362267902029576227302208910781001778097500278194986315705225625095323051986628714000505606039774831309444487383591366862153514428963400333535939559650414299194434660194543760461294978059475174617736538386154727622282618337718551841729818786612104736071507124886990469982185105890078663506131271534333776925771542627053742333874124153634460209760672557216722581999362650588305580198566150600554055153847310645751060426246627578203593790021634698529537799463908599831127057321475874408375286998095094671122131271609692384429476591606428881555609146860884967345136185570888707145049968691567820433095932363222186541956509998114168631786528773939686937571413059515021259282550996361209151825599613949365863049408811810594430143395808311850053026703340527170947074813713480121713344985419752363663583051547827144898610011021454139277045913892764807596778909054694303321359056631226624400969777942562}
30495 1275914874012789645684935762215805716640058423915074628220329411760539925475457252047187: {60986,121964,2102361,3503705,3927921,4052377,4204446,5149261,5568873,5697329,5789110,6242045,6946932,7251622,7490454,8104222,8117601,8714134,8977145,9208473,9390201,10297846,10359460,10772574,11577460,12431352,12992329,13744473,13892952,13985271,14502292,14746996,15011357,15346445,15629571,15735561,15772582,16107521,16278081,17427124,17741273,18084921,18415734,18560470,20249961,20635489,20717560,21151041,21691401,22181432,22272564,22532260,22604045,22771473,23307255,24314369,24389961,24541894,24861072,24954111,25132702,25319705,25467873,27038712,27124854,27968706,28158873,28696433,29479270,29492056,29707275,29838605,29949873,30383646,30418551,31223881,31687760,31917201,32453241,33178563,33703161,34238481,34595241,34899769,35130201,35191695,35328286,35375124,35648730,35806326,35903860,36199473,37537808,37979673,38025312,38398969,39046641,41268262,41532436,41587455,41710281,41894875,41928406,42168961,42230034,42778476,43084632,43128681,44238605,44359952,45159604,45253401,45732929,45784041,45917092,45978557,48470211,48505177,49265139,49508875,49724254,49904946,50273850,50468980,51254673,52254335,52840414,53086326,53191805,53224852,53625440,54342622,54855670,54947481,55474161,57403473,57492073,58012601,58488382,58579129,58648975,58954660,58979841,59055262,59410650,60184606,60204561,60328445,60328620,60562776,62705202,62890057,62998745,63371360,63645593,63830166,64245961,64350528,64513720,64777145,64858969,65296342,65440041,65826804,65962401,66554105,67006473,67582769,68133123,68570961,68774833,69197086,69216845,69293110,70324774,70378770,70664189,70745592,70885822,70955764,71292780,71876345,72040641,72394134,72394344,72577935,73079673,73151267,73252761,73418086,73629577,73771881,74373364,74649050,75070688,75339289,75460246,75598494,75949342,76045632,76364241,76709481,77416464,77705848,77732574,78261873,79588791,79715593,79864926,79879177,80844873,81443637,81532761,81851686,82027294,83033353,83060214,83151732,83622889,83684470,83784250,84244505,84268697,84364660,84454524,85125245,85362701,85551336,86251614,87093522,87419079,87706473,87720841,88980244,89218246,89245041,89578860,90063181,90098961,90441577,91313569,91417433,91805001,92158205,92655670,92657121,93357473,93702046,93849081,93879361,94359561,94745053,94822996,95244472,95550784,95853214,96163102,96229473,96245253,96399321,97244692,97248201,97417805,97757241,98685286,98852980,99111495,99452481,...,86607245313900116646028396625740025006451151383899461955632993925407138766238013308656417766998884371684040470538171853297212441006929380765593648324859374951030765563150066371335943235487687434696617285800136396140878505577607802859986037664975833167919867844407111545273738674668643177980504765199918139675397156739720690280023739799859918649242018052452396528211828345088157347497821999842191391115750291367146131039002339087183762947404898111586867539795147538862020946448400032479070178522144682224999754005155376904775215403149501964039434859091439570585418340399817431370326260330144632881219074069255286483891283460378439075748227263709391048722197092816494268793107461101251194654669752878421311258189982903619760673954121558919148413685773573823676529860731362894101441760666354834293272559752296670778043409578224156131505072170807615022677182787929656879351185219264099847753065888787065898028248031968422872740937799432007795573484755367060056118635132464405601368290840483907803737366509612707038181418000526711596005800081491270063696606747795798374337549173496977536778651320290063552113403365689410254013748491665825342668007750936772764568014776445472848081330372811353520101522772955268942892992354033984505822216111814476536890051082059603044432383700025215504674636367473415223765089867979979451460965044431404693949063481849316927541688278170419781337231698863610528358302551410762265449985570968019514254310017729211969764100638742467805673578055653131732122560460643443555902186230186837457593517015536824811036259920506202240264612565239766986385829534225273606911926579576561420523613740959785453739649736243813577821080378576409634646360676800265817086495697901305304003959408993660598405442932191354749457998454541656476556610628867312318488888130863783664292524907855351301511849363897649283567458828904752666965765226884711823495864201224486638289242634186666815969069652184025695575912380060911960747298763750524906003554445155788802943371495907702321283857038593734134556781072372796608112976288989348984800711192898051929320232528077552570952626829950835608765850323475163023900095009628239109542972584410038868640036611630902993656198877066519376990016641431379520953012058235477609591013671438060406445355417322354640377404497975083844790787307436469103557119153647303161397798848252507705851558829103380845865224277385080513943786206005684437576719968994916271834934826477002167813914554524988032730303834963299011694463496147100432775254811416249804085508501836399739373034093581205781084008797801909279576503471324910333522866914762601185671739521477756412140882765338468885901188361278107042758981307618721724140941400412836809816305416641696330178606605257455517805950610046682326452874117152924157985755628537288015240181291555552864982207101720820030240698475995963406715544348201608846127453246755401711555657309852239407216884380149998872633269940727232575314675241789896469930474025274446354474498337499486721388419735661418917072660261862057298486949359821561995027377418723955107950960864212421523820977484153508184484619430982244823544682985098716453767435823462353978953748823519013663468240152567738322315887017708797776223825530216556925611936112236428669227019921046292950502882127778600881760882750488873351615628554316408112871120122839398131536406006309729514357041364782819550611645814060245352186435455245813261754820693618654974415809060605869591324965707370768082299606185735054914092820205217149048311875344054191409105768996947853796993551787396873073188488976509473676847287766405058011430515590095489107496726039730570601895641649458276162555524754190069315550835722106822411696149514328908427814089287507585412969518091190954009394552293913764225220637939966770279269669934635731282028487984659974174848872644401026874796072904838875323503864027173726875467592901646969084092602345855920058722317115979696191749297976778356740955997927965541850900782195498301220403594679611051489058924966288543401853044364340953313366171502667146250417292479473557838437642984577979943071000758409059662246964166731075387050293230271643445100500303909339475621448791651990291815640691942467089212761926604807579232091433423927506577827762594728179918157104107260687330485704973277658835117995259196907301500665388657313940580613500811186230451690314641008835825083872999043975882458370297849225900831082730770965968626590639369941367305390685032452047794306699195862899746690585982213811612562930497142642006683196907414538576644214887409643322333413720291327451017704278356333060717574953037351730649643898544833279812934764997171252947679793160909530406357119589272531888923826494541813727738399420924048794574113217715891645215093712467775079540055010790756420612220570220182570017478129628545495374577321740717347915016532181208915568870839147211395168363582041454982038584946839936601454666913843}
30496 1279847577648905134333429610821171759046540590778186973836673777388300011323329525361887: {91479,152455,182946,883543,1431103,2803148,3251623,4077218,4521703,5237228,5245879,5605928,6260546,6306669,6871063,7425164,7713218,8683665,8849479,9262576,9987272,10420398,10819183,10823468,10877433,10973306,11235681,11533279,12156333,12277964,12520268,12949325,13071201,13491103,13500866,14023543,14363432,14471825,14581946,15446769,15539190,16158861,16380866,16575136,17028463,17099426,17366190,18127865,18325964,18433745,18435343,18523936,18534818,18647028,18893306,19408753,19662583,20187463,20839428,20980748,21704108,21753438,21783905,22106479,22120494,22975879,23658873,23897018,24113228,24536263,24554312,25573279,25805549,25896950,26140686,26999948,27467743,27623601,27726790,27840705,28165325,28201388,28921868,29696752,29866279,30361964,31076340,32250703,32519948,32590183,32762018,32845582,33148096,33272148,33408846,33798390,33957164,34114279,34524218,34958479,36051616,36166472,36634106,36812841,36865070,37291608,37545164,37647823,37687106,37699053,38388386,38814958,39439226,39609700,39819343,39933164,39985879,40511528,40558068,40687281,41187746,41647279,41953059,42556268,43136383,43270988,43629626,44218905,44238084,44879825,44937548,45575469,45651308,46126988,46840268,46922260,47166832,47242183,47531640,47741768,48145826,48265964,48838466,50567546,50639564,50700416,51915545,52062188,52293026,52914703,52992429,53062686,53473095,53670818,53709489,53717863,53855790,54038623,55449940,55613708,55638103,56306712,56435143,56449505,56912503,57037968,57071479,57105218,57396365,57446176,57504908,58657279,59289583,60183866,60337868,61045388,61889186,61902393,62298654,62433823,62590279,62892609,63086225,63345051,63995143,64167714,64270586,64626948,65686852,65704279,66531065,66539928,67031800,67404703,67739406,67992617,68339564,68875638,69403063,70781768,71084479,71236903,71997943,73263308,73693325,73965548,74586381,74722783,74857419,74873479,75410775,75703470,75776143,76071746,76376479,76537964,77075066,77409218,78617479,78639788,79214200,79260621,79509343,79629489,79837278,80272748,80438160,80642150,80750368,81432823,81513933,81727663,82283505,83338913,83606936,84660223,85106888,85385666,85800704,86550943,87253388,87732573,87769072,87949868,88431990,88582893,88694705,88717423,89115975,89341964,89722903,90276909,90492930,90657218,90844164,91427948,91865623,92504062,92966705,93838360,93933218,94057803,94327456,95057040,95565818,95745249,96054188,96525512,96525792,96662479,96770580,97132310,97221343,97439564,97670348,97944513,98362508,98740206,99144866,99583663,...,115476327085200155528037862167653366675268201845199282607510658567209518354984017744875223689331845828912053960717562471062949921342572507687458197766479166601374354084200088495114590980650249912928823047733515194854504674103477070479981383553301110890559823792542815393698318232891524237307339686933224186233862875652960920373364986399813224865656024069936528704282437793450876463330429333122921854821000388489528174718669785449578350596539864148782490053060196718482694595264533376638760238029526242966666338673540502539700287204199335952052579812121919427447224453866423241827101680440192843841625432092340381978521711280504585434330969684945854731629596123755325691724143281468334926206226337171228415010919977204826347565272162078558864551581031431764902039814308483858801922347555139779057696746336395561037391212770965541508673429561076820030236243717239542505801580292352133130337421185049421197370997375957897163654583732576010394097979673822746741491513509952540801824387787311877071649822012816942717575224000702282128007733441988360084928808997061064499116732231329303382371535093720084736151204487585880338684997988887767123557343667915697019424019701927297130775107163748471360135363697273691923857323138711979341096288149085968715853401442746137392576511600033620672899515156631220298353453157306639268614620059241872925265417975799089236722251037560559708449642265151480704477736735214349687266647427957359352339080023638949293018800851656623740898104074204175642830080614191258074536248306915783276791356020715766414715013227341602987019483420319689315181106045633698142549235439435415227364818321279713938319532981658418103761440504768546179528480902400354422781994263868407072005279211991547464540590576255139665943997939388875302075480838489749757985184174485044885723366543807135068682465818530199044756611771873003555954353635846282431327818934965982184385656845582222421292092869578700927434549840081215947663065018334033208004739260207718403924495327876936428378476051458312179409041429830395477483968385319131979734281590530735905760310037436736761270169106601114145021133764633550698533460012837652146057296779213385158186715482174537324874931836088692502653355521908506027937349410980636812788018228584080541927140556429806187169872663966778459721049743248625471409492204863070881863731797670010274468745105471174461153632369846774018591714941340912583435626625326555029113246435302669557085219406033317376973738446617732015592617994862800577033673081888333072114011335781866319164045458108274374778678397069212372768671295099880444697155886350134914228986028637008549521177020451291847868251148370809390345308410158295632187921867217115746421740555522261773571475473676607357074600813395576435270498822870565543981007504716384020320241722074070486642942802294426706987597967994617875620725797602145128169937662340535615407543079802985876289179173533331830177693254302976767086233655719861959907298700365928472632664449999315628517892980881891889430213682482743064649265813095415993369836558298606810601281152283228698427969978871344245979492574642993098059577313464955271689914431283138638604998431358684884624320203423651096421182690278397034965100706955409234149248149648571558969359894728390600670509503704801175681177000651831135487504739088544150494826830452530842048541341746306019142721819710426067482194418746993802915247273661084349006427591491539965887745414141159455099954276494357443066141580980073218790426940289532064415833792072255212141025329263805062658069049862497430917985302012631569129717021873410681907354120127318809995634719640760802527522199277701550074033005586759087401114296142429882261532685771877903752119050010113883959357454921272012526069725218352300294183919955693705692893246180975042704650646213298899798496859201369166394763873118500431338485369564969167290123868862625445456803127807893411629756154639594922332397302371142321274663903954055801201042927331068293871459572814735318745233288384724535804059152454604417821562003556195000556389972631410451250190646103973257428001011212079549662618888974767182733724307028857926800667071879119300828598388869320389087520922589956118950349235473076772309455244565236675437103683459637573224209472143014249773980939964370211780157327012262543068667553851543085254107484667748248307268920419521345114433445163998725301176611160397132301201108110307694621291502120852493255156407187580043269397059075598927817199662254114642951748816750573996190189342244262543219384768858953183212857763111218293721769934690272371141777414290099937383135640866191864726444373083913019996228337263573057547879373875142826119030042518565101992722418303651199227898731726098817623621188860286791616623700106053406681054341894149627426960243426689970839504727327166103095654289797220022042908278554091827785529615193557818109388606642718113262453248801939555885124}
30497 1283792332796129249351189763785026768277488406375505148102164534525917678594606318254414: {30497,121972,243928,274419,3503935,4204722,4905187,5697703,6115827,6367603,6546535,6733207,7007410,7855842,8104754,8408892,8738863,9281455,9390819,10298522,11137746,11394658,11569827,11578220,12392743,12484090,12568003,13529335,13893864,14503244,14980908,15347455,15630597,15650335,16046623,16208444,16235202,16459959,16777399,17428268,17954290,18416946,18780402,19747123,20251299,20595692,20718920,20966959,21485023,21545148,21872919,22907455,23154920,23308785,24571299,24862704,25649139,25984658,26049285,26225935,27130135,27174883,27414727,27488946,27757939,27785904,27802227,27970542,28339959,29004584,29493992,30022714,30096259,30141535,30692890,31259142,31471122,31545164,31645663,32215042,32425063,32556162,32630157,32652463,32891587,33180741,33749935,34854248,35251735,35447587,35482546,35845527,36152335,36169842,36177703,36831468,37120940,37952455,38845425,39211029,40499922,40649935,41270978,41435120,41590185,41774047,42302082,42446455,43382802,44362864,44545128,45064520,45208090,45542946,45981583,46400563,46614510,46931455,48628738,48779922,49083788,49143027,49268373,49512125,49648099,49722144,49908222,49916455,50113269,50265404,50639410,50697585,50935746,51387799,51786327,53195335,54048007,54077424,54088735,54249708,54369139,54951159,55297605,55696003,55937412,56171935,56317746,56530659,57064135,57392866,57582579,57658735,57685639,58016419,58222437,58335007,58550335,58652825,58958540,58984112,59158839,59414550,59674483,59677210,59899746,60332455,60767292,60837102,61781619,61934047,62447762,63299455,63375520,63834402,64312039,64906482,65077735,65444439,66065719,66357126,67160227,67406322,68476962,69190482,69312425,69517135,69621199,69799538,70260402,70383390,70656572,70750248,71297460,71612652,71695783,71807720,71881135,72218739,72398946,73156069,73257699,74468527,74733187,75075616,75217519,75422335,75533683,75556723,75851319,75959346,76050624,76306735,76797938,77538439,78093282,78439539,78977623,79594029,79831903,80506227,80783685,80932087,82108565,82536524,83064872,83174910,83420562,83478583,83789750,83856812,84274243,84337922,84459823,84460068,85368319,85424455,85556952,85657827,86058607,86169264,86257362,87125263,87435139,88198243,88477210,88643587,88719904,88944943,89132887,90275799,90319208,90506802,90688003,91465858,91568082,91579135,91834184,91957114,92456935,92833779,93175747,93447981,94021939,95672455,96251571,96405879,96903583,96940422,97010354,98299735,98530278,99017750,99448508,99809892,...,173214490627800233292056793251480050012902302767798923911265987850814277532476026617312835533997768743368080941076343706594424882013858761531187296649718749902061531126300132742671886470975374869393234571600272792281757011155215605719972075329951666335839735688814223090547477349337286355961009530399836279350794313479441380560047479599719837298484036104904793056423656690176314694995643999684382782231500582734292262078004678174367525894809796223173735079590295077724041892896800064958140357044289364449999508010310753809550430806299003928078869718182879141170836680799634862740652520660289265762438148138510572967782566920756878151496454527418782097444394185632988537586214922202502389309339505756842622516379965807239521347908243117838296827371547147647353059721462725788202883521332709668586545119504593341556086819156448312263010144341615230045354365575859313758702370438528199695506131777574131796056496063936845745481875598864015591146969510734120112237270264928811202736581680967815607474733019225414076362836001053423192011600162982540127393213495591596748675098346993955073557302640580127104226806731378820508027496983331650685336015501873545529136029552890945696162660745622707040203045545910537885785984708067969011644432223628953073780102164119206088864767400050431009349272734946830447530179735959958902921930088862809387898126963698633855083376556340839562674463397727221056716605102821524530899971141936039028508620035458423939528201277484935611347156111306263464245120921286887111804372460373674915187034031073649622072519841012404480529225130479533972771659068450547213823853159153122841047227481919570907479299472487627155642160757152819269292721353600531634172991395802610608007918817987321196810885864382709498915996909083312953113221257734624636977776261727567328585049815710702603023698727795298567134917657809505333931530453769423646991728402448973276578485268373333631938139304368051391151824760121823921494597527501049812007108890311577605886742991815404642567714077187468269113562144745593216225952577978697969601422385796103858640465056155105141905253659901671217531700646950326047800190019256478219085945168820077737280073223261805987312397754133038753980033282862759041906024116470955219182027342876120812890710834644709280754808995950167689581574614872938207114238307294606322795597696505015411703117658206761691730448554770161027887572412011368875153439937989832543669869652954004335627829109049976065460607669926598023388926992294200865550509622832499608171017003672799478746068187162411562168017595603818559153006942649820667045733829525202371343479042955512824281765530676937771802376722556214085517962615237443448281882800825673619632610833283392660357213210514911035611901220093364652905748234305848315971511257074576030480362583111105729964414203441640060481396951991926813431088696403217692254906493510803423111314619704478814433768760299997745266539881454465150629350483579792939860948050548892708948996674998973442776839471322837834145320523724114596973898719643123990054754837447910215901921728424843047641954968307016368969238861964489647089365970197432907534871646924707957907497647038027326936480305135476644631774035417595552447651060433113851223872224472857338454039842092585901005764255557201763521765500977746703231257108632816225742240245678796263072812012619459028714082729565639101223291628120490704372870910491626523509641387237309948831618121211739182649931414741536164599212371470109828185640410434298096623750688108382818211537993895707593987103574793746146376977953018947353694575532810116022861031180190978214993452079461141203791283298916552325111049508380138631101671444213644823392299028657816855628178575015170825939036182381908018789104587827528450441275879933540558539339869271462564056975969319948349697745288802053749592145809677750647007728054347453750935185803293938168185204691711840117444634231959392383498595953556713481911995855931083701801564390996602440807189359222102978117849932577086803706088728681906626732343005334292500834584958947115676875285969155959886142001516818119324493928333462150774100586460543286890201000607818678951242897583303980583631281383884934178425523853209615158464182866847855013155655525189456359836314208214521374660971409946555317670235990518393814603001330777314627881161227001622372460903380629282017671650167745998087951764916740595698451801662165461541931937253181278739882734610781370064904095588613398391725799493381171964427623225125860994285284013366393814829077153288429774819286644666827440582654902035408556712666121435149906074703461299287797089666559625869529994342505895359586321819060812714239178545063777847652989083627455476798841848097589148226435431783290430187424935550159080110021581512841224441140440365140034956259257090990749154643481434695830033064362417831137741678294422790336727164082909964077169893679873202909333827686}
30498 1287749176171745164295508365106572998863031212630152669213663651956212265045635595153861: {152465,182958,213437,304910,365892,883601,944477,1767086,2038877,2160317,2862206,3251837,3312401,3978077,4582397,4763537,5427101,5606296,5788637,6307083,6503246,6871517,6931601,7231901,7771937,8154436,9043406,9388157,9567377,10164257,10474456,10491758,10511115,10819901,11211856,11415101,11712401,11783763,12068897,12157131,12306401,12521092,12613338,13195901,13742126,14472775,14615357,14850328,15264401,15426436,15447783,16706619,17088317,17091987,17264417,17367330,17698958,18129055,18436577,18495101,18525152,18726135,18846077,19313597,19722257,19974544,20260555,20840796,21120401,21638366,21646936,21754866,21785335,21946612,21991901,22471362,22513937,23066558,24312666,24352803,24537917,24555928,24595601,25040536,25379011,25402337,25744615,25807243,25898650,26142402,26264957,26931435,26953757,26982206,27001732,27469601,27625419,28047086,28170603,28556477,28670717,28726864,28943650,29163892,29412497,30497467,30893538,31078380,31232657,31459601,31969757,32252897,32317722,32592401,32761732,33150272,33778397,34056926,34198852,34341917,34732380,34792157,35185697,35971601,36255730,36651928,36867490,36870686,37047872,37069636,37294056,37315217,37650401,37706237,37786612,37873697,38152637,38487101,38817506,38976987,39325166,39431455,39655457,39822077,40374926,41233419,41678856,41815901,41955813,41961496,42698717,42974177,43194401,43408216,43506876,43567810,44212958,44240988,44842001,45034071,45444317,45951758,46039335,46154897,46401175,46755101,46888713,46973117,47206683,47317746,47794036,48226456,48322563,48834243,49072526,49108624,49200401,50227997,51146558,51306557,51611098,51683297,51793900,51952157,52281372,53223819,53454077,53561117,53721617,53775101,53999896,54254763,54362897,54523037,54935486,55247202,55453580,55642001,55681410,55695197,56330650,56402776,56969501,57843736,58819601,59293757,59346401,59393504,59732558,59924957,60723928,60749883,61354735,61707101,61906467,62152680,62803217,62831755,63453123,64051601,64501406,64518557,64777697,65039896,65074203,65180366,65524036,65691164,66070397,66296192,66544296,66817692,67152401,67409501,67596780,67717757,67812135,67871777,67914328,68228558,68314419,68487137,68640797,69048436,69152477,69916958,69921765,70784477,71292797,71445137,72003101,72103232,72332944,72681763,72943107,73169883,73268212,73625682,73698175,73721597,73730140,74325917,74583216,74778401,74862333,75029501,75090328,75230237,75295646,75374212,75398106,75531101,75831677,75959115,76282001,76403619,76776772,77479697,77579297,77629916,78821597,78878452,79029307,79219400,79638686,79712957,79866328,79971758,80354911,80453777,81023056,81116136,81374562,81438737,81733601,81782717,82375492,82763357,82959101,83294558,83496737,83692001,83906118,83984657,84130877,84476619,84666401,85112536,85831457,86089299,86272766,86541976,86605601,87259252,87762977,87859217,88320715,88437810,88476168,88723937,88771901,89121825,89515815,89759650,89777297,89849619,89875096,89920637,90207101,91150938,91255653,91302616,91445117,91872401,91919837,92253976,92299037,93143491,93671643,93680536,93716477,93844520,94333664,94484366,94751357,94892177,95063280,95407901,95483536,95595197,95751603,96156317,96291652,96531928,96995837,97228577,97359723,97676932,97693457,98203901,98620817,99083297,99535689,...,259821735941700349938085189877220075019353454151698385866898981776221416298714039925969253300996653115052121411614515559891637323020788142296780944974578124853092296689450199114007829706463062304089851857400409188422635516732823408579958112994927499503759603533221334635821216024005929533941514295599754419026191470219162070840071219399579755947726054157357189584635485035264472042493465999526574173347250874101438393117007017261551288842214694334760602619385442616586062839345200097437210535566434046674999262015466130714325646209448505892118304577274318711756255021199452294110978780990433898643657222207765859451673850381135317227244681791128173146166591278449482806379322383303753583964009258635263933774569948710859282021862364676757445241057320721471029589582194088682304325281999064502879817679256890012334130228734672468394515216512422845068031548363788970638053555657792299543259197666361197694084744095905268618222813398296023386720454266101180168355905397393216804104872521451723411212099528838121114544254001580134788017400244473810191089820243387395123012647520490932610335953960870190656340210097068230762041245474997476028004023252810318293704044329336418544243991118434060560304568318865806828678977062101953517466648335443429610670153246178809133297151100075646514023909102420245671295269603939938354382895133294214081847190445547950782625064834511259344011695096590831585074907654232286796349956712904058542762930053187635909292301916227403417020734166959395196367681381930330667706558690560512372780551046610474433108779761518606720793837695719300959157488602675820820735779738729684261570841222879356361218949208731440733463241135729228903939082030400797451259487093703915912011878226980981795216328796574064248373995363624969429669831886601936955466664392591350992877574723566053904535548091692947850702376486714258000897295680654135470487592603673459914867727902560000447907208956552077086727737140182735882241896291251574718010663335467366408830114487723106963851571115781202403670343217118389824338928866968046954402133578694155787960697584232657712857880489852506826297550970425489071700285028884717328628917753230116605920109834892708980968596631199558130970049924294138562859036174706432828773041014314181219336066251967063921132213493925251534372361922309407310671357460941909484193396544757523117554676487310142537595672832155241541831358618017053312730159906984748815504804479431006503441743663574964098190911504889897035083390488441301298325764434248749412256525505509199218119102280743617343252026393405727838729510413974731000568600744287803557015218564433269236422648296015406657703565083834321128276943922856165172422824201238510429448916249925088990535819815772366553417851830140046979358622351458772473957266885611864045720543874666658594946621305162460090722095427987890220146633044604826538382359740266205134666971929556718221650653140449996617899809822181697725944025725369689409791422075823339063423495012498460164165259206984256751217980785586171895460848079464685985082132256171865323852882592637264571462932452460524553453858292946734470634048955296149361302307470387061936861246470557040990404720457703214966947661053126393328671476590649670776835808336709286007681059763138878851508646383335802645282648251466620054846885662949224338613360368518194394609218018929188543071124094348458651834937442180736056559306365737439785264462080855964923247427181817608773974897122112304246898818557205164742278460615651447144935626032162574227317306990843561390980655362190619219565466929528421030541863299215174034291546770286467322490178119191711805686924948374828487666574262570207946652507166320467235088448542986725283442267862522756238908554273572862028183656881741292675661913819900310837809009803907193846085463953979922524546617933203080624388218714516625970511592081521180626402778704940907252277807037567760176166951347939088575247893930335070222867993783896625552702346586494903661210784038833154467176774898865630205559133093022859940098514508001438751251877438420673515312928953733939829213002275227178986740892500193226161150879690814930335301500911728018426864346374955970875446922075827401267638285779814422737696274300271782519733483287784184539754471312321782061991457114919832976505353985777590721904501996165971941821741840502433558691355070943923026507475251618997131927647375110893547677702493248192312897905879771918109824101916172055097356143382920097587588699240071757946641434837688791491427926020049590722243615729932644662228929967000241160873982353053112835068999182152724859112055191948931695634499839438804294991513758843039379482728591219071358767817595666771479483625441183215198262772146383722339653147674935645281137403325238620165032372269261836661710660547710052434388885636486123731965222152043745049596543626746706612517441634185505090746124364946115754840519809804364000741529}
30499 1291718144604254383310817575699873203379628975942449897410701155771310897246794806527192: {60994,243944,274437,457365,487856,548838,2650629,4293309,4905509,6368021,6733649,7007870,7525349,8409444,9165149,9754869,9810374,10193045,11395406,12231654,12735206,12994037,13093070,13466414,13565109,14014820,14645969,15651365,15711684,15737637,16209508,16817784,17477726,17934461,18562910,18781638,18920007,18941069,19283045,20416517,20597044,20613189,21486437,21910469,22275492,22789316,23139654,23156440,23337509,24785486,24968180,25136006,26050995,26548437,27058670,27433265,27787728,29006488,29961816,30639989,30694910,31261194,31300670,32070437,32093246,32416888,32427197,32457549,32470404,32632299,32804837,32919918,33554798,33707043,33752165,34599837,34856536,34904357,35908580,36454865,36468999,36716309,36833892,37560804,37942469,37982189,38320529,38672717,38847975,39213603,39494246,40473309,40502598,40831229,40952165,41191384,41437840,41933918,42070629,42198149,42748565,42970046,43090296,43415475,43745838,45814910,46309840,46337045,46340307,46617570,47233265,47249909,48476583,49142598,49352429,49725408,50613269,51046637,51085389,51298278,51391181,51969316,52098570,52451870,53133437,54260270,54349766,54383595,54829454,54837029,54977892,55301235,55306029,55515878,55571808,55604454,55941084,56679918,56909909,58009168,58226259,58987749,58987984,59073029,59425037,59742545,60045428,60192518,60283070,60341237,60562389,61385780,62518284,62942244,63090328,63291326,64254437,64430084,64742375,64850126,65112324,65197949,65260314,65304926,65351715,65704037,65783174,65822549,66319437,66361482,66369749,67499870,68173937,68927637,69288437,69316975,69625781,69708496,69883037,70503470,70524389,70895174,70965092,70976619,71691054,72304670,72339684,72355406,73608789,73662936,74241880,74422661,74473469,75724229,75904910,76005137,76130069,76222421,76719837,77416647,77690850,78422058,78640709,79837157,79889789,80130581,80722229,80999844,81299870,81905045,81970469,82080689,82113955,82403229,82541956,82870240,82870803,83180370,83484077,83522115,83548094,84013949,84465437,84495975,84604164,84892910,86310545,86765604,87130997,87550709,88619237,88725728,89090256,89294309,89598837,90129040,90416180,90453509,90706229,91085892,91108829,91585265,91636337,91963166,92052917,92162675,92801126,93229020,93862910,94217765,95079077,95970965,96183149,96752109,97037395,97257476,97323989,97559844,97770549,98167576,98286054,98536746,98598065,99024250,99296198,99444288,99619109,99816444,99832910,...,346428981255600466584113586502960100025804605535597847822531975701628555064952053234625671067995537486736161882152687413188849764027717523062374593299437499804123062252600265485343772941950749738786469143200545584563514022310431211439944150659903332671679471377628446181094954698674572711922019060799672558701588626958882761120094959199439674596968072209809586112847313380352629389991287999368765564463001165468584524156009356348735051789619592446347470159180590155448083785793600129916280714088578728899999016020621507619100861612598007856157739436365758282341673361599269725481305041320578531524876296277021145935565133841513756302992909054837564194888788371265977075172429844405004778618679011513685245032759931614479042695816486235676593654743094295294706119442925451576405767042665419337173090239009186683112173638312896624526020288683230460090708731151718627517404740877056399391012263555148263592112992127873691490963751197728031182293939021468240224474540529857622405473163361935631214949466038450828152725672002106846384023200325965080254786426991183193497350196693987910147114605281160254208453613462757641016054993966663301370672031003747091058272059105781891392325321491245414080406091091821075771571969416135938023288864447257906147560204328238412177729534800100862018698545469893660895060359471919917805843860177725618775796253927397267710166753112681679125348926795454442113433210205643049061799942283872078057017240070916847879056402554969871222694312222612526928490241842573774223608744920747349830374068062147299244145039682024808961058450260959067945543318136901094427647706318306245682094454963839141814958598944975254311284321514305638538585442707201063268345982791605221216015837635974642393621771728765418997831993818166625906226442515469249273955552523455134657170099631421405206047397455590597134269835315619010667863060907538847293983456804897946553156970536746667263876278608736102782303649520243647842989195055002099624014217780623155211773485983630809285135428154374936538227124289491186432451905155957395939202844771592207717280930112310210283810507319803342435063401293900652095600380038512956438171890337640155474560146446523611974624795508266077507960066565725518083812048232941910438364054685752241625781421669289418561509617991900335379163149229745876414228476614589212645591195393010030823406235316413523383460897109540322055775144824022737750306879875979665087339739305908008671255658218099952130921215339853196046777853984588401731101019245664999216342034007345598957492136374324823124336035191207637118306013885299641334091467659050404742686958085911025648563531061353875543604753445112428171035925230474886896563765601651347239265221666566785320714426421029822071223802440186729305811496468611696631943022514149152060960725166222211459928828406883280120962793903983853626862177392806435384509812987021606846222629239408957628867537520599995490533079762908930301258700967159585879721896101097785417897993349997946885553678942645675668290641047448229193947797439286247980109509674895820431803843456849686095283909936614032737938477723928979294178731940394865815069743293849415915814995294076054653872960610270953289263548070835191104895302120866227702447744448945714676908079684185171802011528511114403527043531001955493406462514217265632451484480491357592526145624025238918057428165459131278202446583256240981408745741820983253047019282774474619897663236242423478365299862829483072329198424742940219656371280820868596193247501376216765636423075987791415187974207149587492292753955906037894707389151065620232045722062360381956429986904158922282407582566597833104650222099016760277262203342888427289646784598057315633711256357150030341651878072364763816037578209175655056900882551759867081117078679738542925128113951938639896699395490577604107499184291619355501294015456108694907501870371606587876336370409383423680234889268463918784766997191907113426963823991711862167403603128781993204881614378718444205956235699865154173607412177457363813253464686010668585001669169917894231353750571938311919772284003033636238648987856666924301548201172921086573780402001215637357902485795166607961167262562767769868356851047706419230316928365733695710026311311050378912719672628416429042749321942819893110635340471981036787629206002661554629255762322454003244744921806761258564035343300335491996175903529833481191396903603324330923083863874506362557479765469221562740129808191177226796783451598986762343928855246450251721988570568026732787629658154306576859549638573289333654881165309804070817113425332242870299812149406922598575594179333119251739059988685011790719172643638121625428478357090127555695305978167254910953597683696195178296452870863566580860374849871100318160220043163025682448882280880730280069912518514181981498309286962869391660066128724835662275483356588845580673454328165819928154339787359746405818667655372}
30500 1295699275033711673501946717715050373013588120689039712255219893085532162360820363269667: {91491,213451,304930,365916,426874,609820,731784,823257,944539,1767202,1888954,2221171,2949091,3312619,3534172,4077754,4320634,5487739,5724412,5849251,6503674,6624802,6932059,7292419,7956154,8371771,9164794,9448531,9527074,9985939,10511805,10854202,11058811,11212592,11577274,11950891,12307219,12614166,13006492,13743034,13863202,14463802,14616331,14715561,15543874,16207819,16308872,17093109,17518525,18086812,18347481,18496339,18776314,19102809,19134754,19639605,20199621,20261885,20328514,20948912,20983516,21022230,21639802,21993379,22423712,22830202,23424802,23567526,24137794,24314262,24597259,24612802,25042184,25226676,25380677,25461619,25746305,26216589,26391802,27184939,27484252,27844365,28172457,28364777,28486645,28945550,29230714,29700656,30499469,30528802,30852872,30895566,31210225,31291531,32820811,33413238,33837091,34176634,34183974,34528834,34709481,34734660,35397916,35525131,36030139,36042461,36258110,36534499,36873154,36990202,37050304,37178229,37373659,37452270,37692154,37704009,37708819,38545459,38627194,38712571,39444514,39949088,40521110,40551577,40588005,40712299,41376571,41681592,42240802,43032211,43276732,43293872,43509732,43570670,43893224,43983802,44885725,44942724,45027874,45338011,45666259,46042365,46133116,46812859,46891791,46951005,47792851,47955931,48139869,48625332,48705606,48770251,49075834,49111856,49191202,49379877,50069419,50081072,50231491,50332197,50758022,50804674,51040771,51363979,51489230,51614486,51797300,52284804,52492939,52529914,53618371,53778859,53862870,53907514,53964412,54003464,54939202,55204037,55250838,55699099,56094172,56341206,56655331,57112954,57341434,57453728,57887300,58327784,58401691,58824994,59241369,59350579,59981731,60753897,60994934,61787076,62156760,62338291,62465314,62807659,62900877,62919202,63939514,64367539,64455069,64505794,64635444,64961645,65184802,65523464,65618757,66300544,66848371,67157179,67556794,68113852,68397704,68683834,68722365,69310771,69464760,69584314,69926355,70076491,70371394,70992979,71450251,71943202,72511460,72969811,73303856,73713897,73734980,73741372,74095744,74139272,74482171,74588112,74630434,74633011,75056785,75235651,75300802,75412474,75573224,75747394,76287499,76305274,76732225,76737211,76947417,76974202,77634691,77635012,77953974,78147855,78650332,78677805,78862910,79310914,79644154,80459611,80537605,80749852,81390405,81524649,81788659,82244181,82466838,82965139,83273817,83357712,83406681,83631802,83911626,83922992,85019877,85397434,85896629,85948354,86388802,86466931,86816432,87013752,87135620,87769411,87964457,88058059,88425916,88481976,88706365,88778419,89684002,90068142,90288777,90424605,90888634,91499371,91903516,91926619,92078670,92309794,92802350,92921011,93487651,93510202,93770539,93777426,93946234,94413366,94635492,94936989,95461819,95588072,95602291,96452912,96645126,97003051,97275189,97668486,97700731,97890471,97957389,98145052,98217248,98400802,98674761,99542223,...,519643471883400699876170379754440150038706908303396771733797963552442832597428079851938506601993306230104242823229031119783274646041576284593561889949156249706184593378900398228015659412926124608179703714800818376845271033465646817159916225989854999007519207066442669271642432048011859067883028591199508838052382940438324141680142438799159511895452108314714379169270970070528944084986931999053148346694501748202876786234014034523102577684429388669521205238770885233172125678690400194874421071132868093349998524030932261428651292418897011784236609154548637423512510042398904588221957561980867797287314444415531718903347700762270634454489363582256346292333182556898965612758644766607507167928018517270527867549139897421718564043724729353514890482114641442942059179164388177364608650563998129005759635358513780024668260457469344936789030433024845690136063096727577941276107111315584599086518395332722395388169488191810537236445626796592046773440908532202360336711810794786433608209745042903446822424199057676242229088508003160269576034800488947620382179640486774790246025295040981865220671907921740381312680420194136461524082490949994952056008046505620636587408088658672837088487982236868121120609136637731613657357954124203907034933296670886859221340306492357618266594302200151293028047818204840491342590539207879876708765790266588428163694380891095901565250129669022518688023390193181663170149815308464573592699913425808117085525860106375271818584603832454806834041468333918790392735362763860661335413117381121024745561102093220948866217559523037213441587675391438601918314977205351641641471559477459368523141682445758712722437898417462881466926482271458457807878164060801594902518974187407831824023756453961963590432657593148128496747990727249938859339663773203873910933328785182701985755149447132107809071096183385895701404752973428516001794591361308270940975185207346919829735455805120000895814417913104154173455474280365471764483792582503149436021326670934732817660228975446213927703142231562404807340686434236779648677857733936093908804267157388311575921395168465315425715760979705013652595101940850978143400570057769434657257835506460233211840219669785417961937193262399116261940099848588277125718072349412865657546082028628362438672132503934127842264426987850503068744723844618814621342714921883818968386793089515046235109352974620285075191345664310483083662717236034106625460319813969497631009608958862013006883487327149928196381823009779794070166780976882602596651528868497498824513051011018398436238204561487234686504052786811455677459020827949462001137201488575607114030437128866538472845296592030813315407130167668642256553887845712330344845648402477020858897832499850177981071639631544733106835703660280093958717244702917544947914533771223728091441087749333317189893242610324920181444190855975780440293266089209653076764719480532410269333943859113436443301306280899993235799619644363395451888051450739378819582844151646678126846990024996920328330518413968513502435961571172343790921696158929371970164264512343730647705765185274529142925864904921049106907716585893468941268097910592298722604614940774123873722492941114081980809440915406429933895322106252786657342953181299341553671616673418572015362119526277757703017292766671605290565296502933240109693771325898448677226720737036388789218436037858377086142248188696917303669874884361472113118612731474879570528924161711929846494854363635217547949794244224608493797637114410329484556921231302894289871252064325148454634613981687122781961310724381238439130933859056842061083726598430348068583093540572934644980356238383423611373849896749656975333148525140415893305014332640934470176897085973450566884535725045512477817108547145724056367313763482585351323827639800621675618019607814387692170927907959845049093235866406161248776437429033251941023184163042361252805557409881814504555614075135520352333902695878177150495787860670140445735987567793251105404693172989807322421568077666308934353549797731260411118266186045719880197029016002877502503754876841347030625857907467879658426004550454357973481785000386452322301759381629860670603001823456036853728692749911941750893844151654802535276571559628845475392548600543565039466966575568369079508942624643564123982914229839665953010707971555181443809003992331943883643483681004867117382710141887846053014950503237994263855294750221787095355404986496384625795811759543836219648203832344110194712286765840195175177398480143515893282869675377582982855852040099181444487231459865289324457859934000482321747964706106225670137998364305449718224110383897863391268999678877608589983027517686078758965457182438142717535635191333542958967250882366430396525544292767444679306295349871290562274806650477240330064744538523673323421321095420104868777771272972247463930444304087490099193087253493413225034883268371010181492248729892231509681039619608728001483058}
30501 1299692604512061000099693931237357922498968887860959176316960268436063266021277421563418: {121988,457395,487888,548874,640311,762275,914730,975712,1097676,2650803,2833431,4417715,5301258,6116631,6480951,7155515,7525843,7708151,8586618,8804963,9755511,9811018,9937203,11934231,12736042,13467298,13732499,13747191,14015740,14270263,14290611,15050698,16258115,16281303,16818888,17365911,18330298,18921249,19509738,19620748,19749719,20309483,20386090,20614551,20794803,21695703,21911911,22608515,22790812,23315811,24128611,24463308,25470412,25988074,26186140,26229395,26932828,26996263,27130218,27418331,28029640,28164471,28702131,29291938,30492771,31302730,31423368,31475274,31533345,32419016,32459703,32895911,33635568,33762179,34245303,34355315,34955452,35137203,35351289,35868922,36182459,36206691,36471393,36919203,37125820,37563276,37840014,37882138,38323051,38406571,38566090,39587703,40559191,40833034,41194088,41226378,41654563,42972874,43418325,43820938,43846071,44247395,44550984,45578632,45634903,45793203,46279308,46312880,46343349,46675018,47253031,49570972,49728899,49936360,50119857,50272012,51036811,51264951,51275961,51793251,52101990,53096874,54095915,54117340,54387165,54866530,55309731,55485303,55575456,55703351,56178405,56538231,57333031,57666395,57940791,58012976,59166771,59847991,59923632,60781665,61279978,61389820,62206283,62522388,62601340,63147031,63361203,64140874,64186492,64746625,64833776,64854394,64871863,64915098,64940808,65264598,65356005,65609674,65644931,65839836,65975703,66126571,67109596,67414086,67455515,67504330,67541811,68619571,69199674,69713072,69808714,70117715,70678163,71312371,71817160,72359125,72909730,72937998,73058409,73146323,73432618,73613751,73667784,73786803,74427559,75121608,75884938,75964378,76137033,76207011,76641058,77233845,77345434,77421729,77695950,78427206,78794871,78988492,80794305,80861271,80946618,81005196,81662458,81904330,82086091,82382768,82408803,82875680,82876257,83639563,83867836,84141258,84396298,84511809,85142315,85497130,85669431,85940092,86012151,86180592,86830950,87491676,87556471,88237491,88462379,90081043,90639325,91435511,91492401,91629820,92168725,92176715,92619680,92674090,92680614,93235140,93697971,93897943,94378803,94466530,94499818,95026403,95604491,95909271,96758691,96953166,96961831,97043765,97324931,97777203,98285196,98312915,98361371,98704858,99450816,...,779465207825101049814255569631660225058060362455095157600696945328664248896142119777907759902989959345156364234843546679674911969062364426890342834923734374559276890068350597342023489119389186912269555572201227565267906550198470225739874338984782498511278810599664003907463648072017788601824542886799263257078574410657486212520213658198739267843178162472071568753906455105793416127480397998579722520041752622304315179351021051784653866526644083004281807858156327849758188518035600292311631606699302140024997786046398392142976938628345517676354913731822956135268765063598356882332936342971301695930971666623297578355021551143405951681734045373384519438499773835348448419137967149911260751892027775905791801323709846132577846065587094030272335723171962164413088768746582266046912975845997193508639453037770670037002390686204017405183545649537268535204094645091366911914160666973376898629777592999083593082254232287715805854668440194888070160161362798303540505067716192179650412314617564355170233636298586514363343632762004740404364052200733421430573269460730162185369037942561472797831007861882610571969020630291204692286123736424992428084012069758430954881112132988009255632731973355302181680913704956597420486036931186305860552399945006330288832010459738536427399891453300226939542071727307260737013885808811819815063148685399882642245541571336643852347875194503533778032035085289772494755224722962696860389049870138712175628288790159562907727876905748682210251062202500878185589103044145790992003119676071681537118341653139831423299326339284555820162381513087157902877472465808027462462207339216189052784712523668638069083656847626194322200389723407187686711817246091202392353778461281111747736035634680942945385648986389722192745121986090874908289009495659805810866399993177774052978632724170698161713606644275078843552107129460142774002691887041962406411462777811020379744603183707680001343721626869656231260183211420548207646725688873754724154031990006402099226490343463169320891554713347343607211011029651355169473016786600904140863206400736082467363882092752697973138573641469557520478892652911276467215100855086654151985886753259690349817760329504678126942905789893598674392910149772882415688577108524119298486319123042942543658008198755901191763396640481775754603117085766928221932014072382825728452580189634272569352664029461930427612787018496465724625494075854051159938190479720954246446514413438293019510325230990724892294572734514669691105250171465323903894977293302746248236769576516527597654357306842230852029756079180217183516188531241924193001705802232863410671045655693299807709267944888046219973110695251502963384830831768568495517268472603715531288346748749775266971607459447317099660253555490420140938075867054376317421871800656835592137161631623999975784839863915487380272166286283963670660439899133814479615147079220798615404000915788670154664951959421349989853699429466545093177832077176109068229374266227470017190270485037495380492495777620952770253653942356758515686382544238394057955246396768515595971558647777911793714388797357381573660361574878840203411902146865888448083906922411161185810583739411671122971214161373109644900842983159379179986014429771949012330507425010127858023043179289416636554525939150007407935847944754399860164540656988847673015840081105554583183827654056787565629213372283045375955504812326542208169677919097212319355793386242567894769742281545452826321924691366336912740696455671615494226835381846954341434806878096487722681951920972530684172941966086571857658696400788585263091625589897645522102874640310859401967470534357575135417060774845124485462999722787710623839957521498961401705265345628960175850326803587568268716725662820718586084550970645223878026985741459700932513427029411721581538256391861939767573639853799609241873164656143549877911534776244563541879208336114822721756833421112703280528500854043817265725743681791005210668603981351689876658107039759484710983632352116499463401530324696596890616677399279068579820295543524004316253755632315262020545938786861201819487639006825681536960222677500579678483452639072444791005904502735184055280593039124867912626340766227482203802914857339443268213088822900815347559200449863352553619263413936965346185974371344759498929516061957332772165713505988497915825465225521507300676074065212831769079522425754856991395782942125332680643033107479744576938693717639315754329472305748516165292068430148760292762766097720215273839924304513066374474283778060148772166730847189797933986686789901000723482621947059159338505206997546458174577336165575846795086903499518316412884974541276529118138448185773657214076303452787000314438450876323549645594788316439151167018959443024806935843412209975715860495097116807785509985131981643130157303166656909458371195895666456131235148789630880240119837552324902556515272238373094838347264521559429413092002224587}
30502 1303698170203472467403656749535610328202862403888645735379590398273604442775279486831481: {152485,182982,335401,426902,609860,731832,823311,853748,1219640,1372095,1463568,1613797,1646514,1889078,2160601,3433957,3534404,3777908,4442342,5427817,5898182,6625238,7052677,7068344,7951887,8155508,8641268,10975478,11448824,11535577,11698502,11713957,12879927,12960601,13007348,13249604,13316137,13864118,14584838,14716527,14735401,15912308,16743542,17519675,18329588,18897062,19054148,19104063,19971878,20200947,20366377,21023610,21708404,22110937,22117622,22425184,22576047,22632901,23154548,23901782,24525935,24614438,24887257,25228332,26012984,27473317,27486068,27495447,27726404,28366639,28488515,28674601,28927604,29232662,29264607,29431122,30043177,30579135,30896197,31087748,31838015,32087401,32415638,32427097,32617744,32732675,33666035,34121257,34186218,35037050,36044827,36173624,36694962,36816937,36992678,37552628,37990501,38205618,38269508,38982111,39279210,39881303,39994117,40399242,40523770,40554239,40657028,40695327,41821657,41897824,41967032,42044460,42980101,43279604,43310437,43694315,43937907,43986758,44135017,44847424,44957797,45660404,46270501,46407275,46849604,46954095,47135052,47212911,47924591,48275588,48628524,49194518,49207237,49225604,50084368,50453352,50761354,50923238,51492610,52433178,52783604,53568601,53803383,54369878,54968504,55170601,55688730,56344914,56729554,56760021,56823207,56973290,57083497,57849135,57891100,58036057,58461428,58669657,58827877,59401312,59617897,60998938,61035397,61057604,61249551,61705744,61791132,61839567,61963715,62420450,62583062,62603557,62840015,64164517,64459311,65641622,65731407,65873257,66183001,66826476,67264837,67646675,67674182,68353268,68367948,69057668,69418962,69469320,70012527,70795832,71050262,71252197,72060278,72084922,72516220,72772837,73068998,73746308,73980404,74100608,74356458,74747318,74889637,74904540,75040297,75341401,75384308,75408018,75417638,75792517,76392997,76737275,77090918,77254388,77425142,77590501,78152985,78251675,78889028,79645311,79898176,80233115,81042220,81103154,81176010,81424598,81598057,82299795,82753142,83069017,83363184,83886995,84481604,86064422,86553464,86587744,87019464,87141340,87438697,87786448,87872101,87967604,89771450,89885448,90055748,90315817,90676022,90946303,91173337,91332518,91919967,92084730,92266232,93625718,93783582,93902010,94295401,95585702,95911862,96211311,96279738,96404101,97250664,97281591,97372647,97382617,97411212,97540502,97896897,98151668,98223712,98382404,98414511,98735615,98759754,99190501,99605977,...,1039286943766801399752340759508880300077413816606793543467595927104885665194856159703877013203986612460208485646458062239566549292083152569187123779898312499412369186757800796456031318825852249216359407429601636753690542066931293634319832451979709998015038414132885338543284864096023718135766057182399017676104765880876648283360284877598319023790904216629428758338541940141057888169973863998106296693389003496405753572468028069046205155368858777339042410477541770466344251357380800389748842142265736186699997048061864522857302584837794023568473218309097274847025020084797809176443915123961735594574628888831063437806695401524541268908978727164512692584666365113797931225517289533215014335856037034541055735098279794843437128087449458707029780964229282885884118358328776354729217301127996258011519270717027560049336520914938689873578060866049691380272126193455155882552214222631169198173036790665444790776338976383621074472891253593184093546881817064404720673423621589572867216419490085806893644848398115352484458177016006320539152069600977895240764359280973549580492050590081963730441343815843480762625360840388272923048164981899989904112016093011241273174816177317345674176975964473736242241218273275463227314715908248407814069866593341773718442680612984715236533188604400302586056095636409680982685181078415759753417531580533176856327388761782191803130500259338045037376046780386363326340299630616929147185399826851616234171051720212750543637169207664909613668082936667837580785470725527721322670826234762242049491122204186441897732435119046074426883175350782877203836629954410703283282943118954918737046283364891517425444875796834925762933852964542916915615756328121603189805037948374815663648047512907923927180865315186296256993495981454499877718679327546407747821866657570365403971510298894264215618142192366771791402809505946857032003589182722616541881950370414693839659470911610240001791628835826208308346910948560730943528967585165006298872042653341869465635320457950892427855406284463124809614681372868473559297355715467872187817608534314776623151842790336930630851431521959410027305190203881701956286801140115538869314515671012920466423680439339570835923874386524798232523880199697176554251436144698825731315092164057256724877344265007868255684528853975701006137489447689237629242685429843767637936773586179030092470218705949240570150382691328620966167325434472068213250920639627938995262019217917724026013766974654299856392763646019559588140333561953765205193303057736994997649026102022036796872476409122974469373008105573622911354918041655898924002274402977151214228060874257733076945690593184061626630814260335337284513107775691424660689691296804954041717795664999700355962143279263089466213671407320560187917434489405835089895829067542447456182882175498666634379786485220649840362888381711951560880586532178419306153529438961064820538667887718226872886602612561799986471599239288726790903776102901478757639165688303293356253693980049993840656661036827937027004871923142344687581843392317858743940328529024687461295411530370549058285851729809842098213815433171786937882536195821184597445209229881548247747444985882228163961618881830812859867790644212505573314685906362598683107343233346837144030724239052555515406034585533343210581130593005866480219387542651796897354453441474072777578436872075716754172284496377393834607339749768722944226237225462949759141057848323423859692989708727270435095899588488449216987595274228820658969113842462605788579742504128650296909269227963374245563922621448762476878261867718113684122167453196860696137166187081145869289960712476766847222747699793499313950666297050280831786610028665281868940353794171946901133769071450091024955634217094291448112734627526965170702647655279601243351236039215628775384341855815919690098186471732812322497552874858066503882046368326084722505611114819763629009111228150271040704667805391756354300991575721340280891471975135586502210809386345979614644843136155332617868707099595462520822236532372091439760394058032005755005007509753682694061251715814935759316852009100908715946963570000772904644603518763259721341206003646912073707457385499823883501787688303309605070553143119257690950785097201087130078933933151136738159017885249287128247965828459679331906021415943110362887618007984663887767286967362009734234765420283775692106029901006475988527710589500443574190710809972992769251591623519087672439296407664688220389424573531680390350354796960287031786565739350755165965711704080198362888974462919730578648915719868000964643495929412212451340275996728610899436448220767795726782537999357755217179966055035372157517930914364876285435071270382667085917934501764732860793051088585534889358612590699742581124549613300954480660129489077047346646842642190840209737555542545944494927860888608174980198386174506986826450069766536742020362984497459784463019362079239217456002966116}
30503 1307716009384680268496099466495928288118286048864891862231429570850422947609519318364601: {243976,274473,640353,762325,914790,975776,1067185,1097748,1280622,1524550,1829460,1951424,2195352,2469771,2833617,4418005,4722385,5301606,5666862,6184801,6663513,7708657,8805541,8835430,8847273,9109633,9840841,9937857,10017721,10194385,10602516,10801585,12233262,12961902,14311030,14402377,15051686,15416302,16229317,16259185,16463217,16562005,17173236,17547753,17609926,19152421,19511022,19622036,19874406,19890385,20419201,20796177,21710137,21877257,22761361,22911985,23340577,23817685,23868462,25115313,25472084,26934596,27135505,27464998,27494382,28031480,28345593,28540526,28581222,28943185,29764537,29957817,30101396,30518281,30644017,31535415,31651921,32516230,32562606,33176433,33637776,33764401,34357585,34430737,34658005,34731822,35852673,36159505,36660596,36721153,36921657,37090513,37842498,37947457,38677801,38859685,39019476,39241496,39499438,39900757,40618966,40772180,41229102,41472001,41589606,42898633,43391406,43823822,43848993,44146683,45217030,45581624,46631622,46940785,47836885,48097441,48257222,48623457,48926616,50111461,50396401,50821285,50940824,51279327,51976148,52372280,52458790,52555575,53865656,53992526,54099505,54260436,54836662,55042443,55489017,56059280,56328942,57075505,57308427,57404262,57697057,58562005,58583876,58770517,58918815,59686297,60344485,60598863,60785655,60985542,61532005,61946353,62210377,62599777,62605460,62846736,62950548,63066690,64838032,64919406,65791822,65831233,65979505,65980137,66311377,67271136,67524358,68490606,68710630,69910904,70274406,70702578,71709961,71737844,72363875,72364918,72413382,72942786,73076785,73151137,73544857,73791777,73838406,74249857,74251640,75126552,75680028,75733873,75734281,75764276,76142031,76322005,76384857,76646102,76813142,77132180,77238915,77553817,77580373,78190897,78649767,78923833,78993241,79175406,79535137,80732953,81118382,81554817,81666068,82388176,82452756,83309126,83495401,83533095,84025033,84517371,85094331,85441585,85459935,85945748,86075641,86322085,86836650,87641876,87692142,88468201,88494790,89101968,89150533,89429857,90645275,90954277,91157264,91269806,91498407,91586406,92182885,92224201,92475505,92558616,92625760,92686698,92777617,93350036,93382201,93630675,93874593,94228801,94230385,94437721,94506062,95032657,95694961,96567985,97000177,98164801,98247637,98462433,98611285,99141944,99391333,99457798,99872720,...,1558930415650202099628511139263320450116120724910190315201393890657328497792284239555815519805979918690312728469687093359349823938124728853780685669847468749118553780136701194684046978238778373824539111144402455130535813100396940451479748677969564997022557621199328007814927296144035577203649085773598526514157148821314972425040427316397478535686356324944143137507812910211586832254960795997159445040083505244608630358702042103569307733053288166008563615716312655699516377036071200584623263213398604280049995572092796784285953877256691035352709827463645912270537530127196713764665872685942603391861943333246595156710043102286811903363468090746769038876999547670696896838275934299822521503784055551811583602647419692265155692131174188060544671446343924328826177537493164532093825951691994387017278906075541340074004781372408034810367091299074537070408189290182733823828321333946753797259555185998167186164508464575431611709336880389776140320322725596607081010135432384359300824629235128710340467272597173028726687265524009480808728104401466842861146538921460324370738075885122945595662015723765221143938041260582409384572247472849984856168024139516861909762224265976018511265463946710604363361827409913194840972073862372611721104799890012660577664020919477072854799782906600453879084143454614521474027771617623639630126297370799765284491083142673287704695750389007067556064070170579544989510449445925393720778099740277424351256577580319125815455753811497364420502124405001756371178206088291581984006239352143363074236683306279662846598652678569111640324763026174315805754944931616054924924414678432378105569425047337276138167313695252388644400779446814375373423634492182404784707556922562223495472071269361885890771297972779444385490243972181749816578018991319611621732799986355548105957265448341396323427213288550157687104214258920285548005383774083924812822925555622040759489206367415360002687443253739312462520366422841096415293451377747509448308063980012804198452980686926338641783109426694687214422022059302710338946033573201808281726412801472164934727764185505395946277147282939115040957785305822552934430201710173308303971773506519380699635520659009356253885811579787197348785820299545764831377154217048238596972638246085885087316016397511802383526793280963551509206234171533856443864028144765651456905160379268545138705328058923860855225574036992931449250988151708102319876380959441908492893028826876586039020650461981449784589145469029339382210500342930647807789954586605492496473539153033055195308714613684461704059512158360434367032377062483848386003411604465726821342091311386599615418535889776092439946221390503005926769661663537136991034536945207431062576693497499550533943214918894634199320507110980840281876151734108752634843743601313671184274323263247999951569679727830974760544332572567927341320879798267628959230294158441597230808001831577340309329903918842699979707398858933090186355664154352218136458748532454940034380540970074990760984991555241905540507307884713517031372765088476788115910492793537031191943117295555823587428777594714763147320723149757680406823804293731776896167813844822322371621167478823342245942428322746219289801685966318758359972028859543898024661014850020255716046086358578833273109051878300014815871695889508799720329081313977695346031680162211109166367655308113575131258426744566090751911009624653084416339355838194424638711586772485135789539484563090905652643849382732673825481392911343230988453670763693908682869613756192975445363903841945061368345883932173143715317392801577170526183251179795291044205749280621718803934941068715150270834121549690248970925999445575421247679915042997922803410530691257920351700653607175136537433451325641437172169101941290447756053971482919401865026854058823443163076512783723879535147279707599218483746329312287099755823069552489127083758416672229645443513666842225406561057001708087634531451487363582010421337207962703379753316214079518969421967264704232998926803060649393193781233354798558137159640591087048008632507511264630524041091877573722403638975278013651363073920445355001159356966905278144889582011809005470368110561186078249735825252681532454964407605829714678886536426177645801630695118400899726705107238526827873930692371948742689518997859032123914665544331427011976995831650930451043014601352148130425663538159044851509713982791565884250665361286066214959489153877387435278631508658944611497032330584136860297520585525532195440430547679848609026132748948567556120297544333461694379595867973373579802001446965243894118318677010413995092916349154672331151693590173806999036632825769949082553058236276896371547314428152606905574000628876901752647099291189576632878302334037918886049613871686824419951431720990194233615571019970263963286260314606333313818916742391791332912262470297579261760480239675104649805113030544476746189676694529043118858826184004449174}
30504 1311746159445321646729494626624708214206538423901335015855530191125045955804298112740742: {213479,304970,335423,365964,396383,670802,853804,1127279,1219720,1372185,1463664,1646622,1707496,1920933,2221463,2286825,2439280,2744190,2927136,3070703,3227594,3293028,3434183,3778156,4160279,4321202,4764479,4945583,5488463,5789783,5970479,6391823,6867914,7053143,7068808,7555816,7593503,7952409,7953383,8492663,8500293,8851823,8884684,9270479,9569279,10855634,11060279,11796364,12071303,13020743,13250476,13253145,13731479,14105354,14136688,14736383,15621143,15903774,16311016,16680479,17267879,17282536,17561279,18349893,18849863,19142183,19442853,19492703,20891903,21466545,21950956,22112423,22344503,22577529,22897648,23071154,23124453,23387279,23397004,23427914,24369743,24527545,25580183,25759854,25921202,26014696,26414889,26499208,26632274,27704279,27728236,28562279,28847879,29169676,29266533,29433054,29470802,29811609,30102143,30386663,30955103,31239023,31824616,31840105,32146223,32429303,32825279,33487084,33668245,34336309,34348943,34968023,35039350,35192903,35642279,35802693,36659176,37490543,37626745,37794124,37881479,38048903,38108296,38208126,39830279,39883921,39943756,39996863,40218863,40401894,40732754,41197497,41241573,41492879,42047220,42707543,42810789,42871833,42983063,43038143,43148279,43416808,44221874,44235244,44573221,44686823,44850368,45152094,45265802,45453743,45781943,45825745,46309096,47132449,47255279,47803564,47927737,48071279,48774345,48843909,48885479,49051870,49228876,49774514,49860143,50400503,50456664,50965225,51694103,52025968,52097733,52929479,53304623,53625863,53732879,54374303,54534479,54694583,54946634,54972136,54990894,55174463,55227743,55452808,56638153,56663279,56733278,56763747,56977030,57299423,57349202,57722879,57855208,58465324,58529214,58862244,59249157,59937623,60086354,60928449,61039703,61158270,61172041,61792394,61843653,62175496,62384409,62451479,62816543,63676030,64174802,64687823,64831276,64854194,64970185,65087109,65235488,65465350,65735733,65929583,66960863,67269623,67332070,67825545,67886279,68040263,68242514,68372436,68655479,69320663,69422879,69947433,70074100,70086503,70545143,71104823,71308103,71460479,72089654,72347248,72385833,73081343,73229845,73389924,73633874,73985356,73989479,74492879,74744279,75105256,75346823,75396983,75848063,75981002,76098383,76398503,76411236,76539016,76748279,77645903,77964222,78256825,78558420,78688185,78838703,78987479,79730279,79762606,79988234,80798484,80988789,81047540,81108478,81314056,81358103,81390654,81603983,82254993,83075063,83643314,83795648,83934064,84088920,84149279,84493413,85850279,85960202,86106393,86559208,86576279,86620874,86749201,87388630,87875814,87878543,87973516,87976021,88270034,88599503,89672305,89694848,89915594,89940479,90083783,91227623,91320808,91478313,92461583,92541002,92814550,93595823,93699208,93908190,94270104,94425822,94600035,94705345,94772423,94913279,95849182,95850479,96415225,96457943,96551176,97157183,97257048,97379109,97389863,97854623,98389036,98414474,98451208,98503943,98687733,98966783,99797879,...,2338395623475303149442766708894980675174181087365285472802090835985992746688426359333723279708969878035469092704530640039024735907187093280671028504771203123677830670205051792026070467358167560736808666716603682695803719650595410677219623016954347495533836431798992011722390944216053365805473628660397789771235723231972458637560640974596217803529534487416214706261719365317380248382441193995739167560125257866912945538053063155353961599579932249012845423574468983549274565554106800876934894820097906420074993358139195176428930815885036553029064741195468868405806295190795070646998809028913905087792914999869892735065064653430217855045202136120153558315499321506045345257413901449733782255676083327717375403971129538397733538196761282090817007169515886493239266306239746798140738927537991580525918359113312010111007172058612052215550636948611805605612283935274100735742482000920130695889332778997250779246762696863147417564005320584664210480484088394910621515203148576538951236943852693065510700908895759543090030898286014221213092156602200264291719808382190486556107113827684418393493023585647831715907061890873614076858371209274977284252036209275292864643336398964027766898195920065906545042741114869792261458110793558917581657199835018990866496031379215609282199674359900680818626215181921782211041657426435459445189446056199647926736624714009931557043625583510601334096105255869317484265674168888090581167149610416136526884866370478688723183630717246046630753186607502634556767309132437372976009359028215044611355024959419494269897979017853667460487144539261473708632417397424082387386622017648567158354137571005914207250970542878582966601169170221563060135451738273607177061335383843335243208106904042828836156946959169166578235365958272624724867028486979417432599199979533322158935898172512094485140819932825236530656321388380428322008075661125887219234388333433061139233809551123040004031164880608968693780549634261644622940177066621264172462095970019206297679471030389507962674664140042030821633033088954065508419050359802712422589619202208247402091646278258093919415720924408672561436677958733829401645302565259962455957660259779071049453280988514034380828717369680796023178730449318647247065731325572357895458957369128827630974024596267703575290189921445327263809351257300784665796042217148477185357740568902817708057992088385791282838361055489397173876482227562153479814571439162862739339543240314879058530975692972174676883718203544009073315750514395971711684931879908238744710308729549582792963071920526692556089268237540651550548565593725772579005117406698590232013136967079899423127803834664138659919332085754508890154492495305705486551805417811146593865040246249325800914822378341951298980760666471260422814227601163128952265615401970506776411484894871999927354519591746462140816498858851891011981319697401443438845441237662395846212002747366010463994855878264049969561098288399635279533496231528327204688122798682410051570811455112486141477487332862858310760961827070275547059147632715182173865739190305546787914675943333735381143166392072144720981084724636520610235706440597665344251720767233483557431751218235013368913642484119328934702528949478137539958043289315847036991522275030383574069129537868249909663577817450022223807543834263199580493621970966543019047520243316663749551482962170362696887640116849136127866514436979626624509033757291636958067380158727703684309226844636358478965774074099010738222089367014846482680506145540863024304420634289463168045855762917592052518825898259715572976089202365755789274876769692936566308623920932578205902411603072725406251182324535373456388999168363131871519872564496884205115796036886880527550980410762704806150176988462155758253652911935671634080957224379102797540281088235164744614769175585819302720919561398827725619493968430649633734604328733690625637625008344468165270500263338109841585502562131451797177231045373015632005811944055069629974321119278454132950897056349498390204590974089790671850032197837205739460886630572012948761266896945786061637816360583605458462917020477044610880668032501739035450357917217334373017713508205552165841779117374603737879022298682446611408744572018329804639266468702446042677601349590057660857790241810896038557923114034278496788548185871998316497140517965493747476395676564521902028222195638495307238567277264570974187348826375998041929099322439233730816081152917947262988416917245548495876205290446280878288298293160645821519772913539199123422851334180446316500192541569393801960060369703002170447865841177478015515620992639374523732008496727540385260710498554949238654923623829587354415344557320971642228910358361000943315352628970648936784364949317453501056878329074420807530236629927147581485291350423356529955395944929390471909499970728375113587686999368393705446368892640720359512656974707669545816715119284515041793564678288239276006673761}
30505 1315788657888276871999261490055497859636275945750363788896880339023504695519259324915430: {457455,487952,548946,1006203,1067255,1280706,1494059,1524650,1829580,1951552,2134370,2195496,2469933,2561244,3049100,3658920,3902848,4116285,4390704,4722695,4841391,4939542,5667234,6185207,6481803,6611339,8836010,9110231,9444770,9841487,10301871,10603212,10998587,11105855,11333724,12369602,13327026,14272139,14745455,15122219,15417314,16283451,16563095,17020991,17611082,17670860,17694546,18219266,19681682,19875714,20035442,20388770,21158031,21205032,21405647,21603170,22424699,22762859,23186807,23855661,24131783,24466524,25923804,27438695,27846539,28622060,28804754,29246255,30103372,30832604,31552799,32076779,32458634,32518370,32926434,33124010,33344759,34108667,34346472,34433003,34606731,34660295,35095506,35141871,35176271,35219852,36462095,37989707,38304842,38639781,38881803,39022044,39244072,39748812,39780770,39903383,39948411,40520459,40564523,40690871,40838402,41592354,41660039,41858855,42422699,43420274,43754514,44149581,44206203,44332139,45522722,45823970,46157759,46681154,47242655,47635370,47736924,47945531,48100619,48521207,49929695,50114759,50230626,50623307,50944168,52559025,53869192,54271010,54403559,54929996,54988764,55242251,55294055,56006927,56062960,56691186,57081052,57162444,57312189,57886370,59529074,59559383,59754455,59915634,60202792,60353183,60602841,61036562,61099131,61288034,61536095,63070830,63303842,64363151,65032460,65125212,65717099,66332811,66352866,66917003,66971639,67275552,67528802,67728141,67898703,68187431,68715170,68861474,69316010,69463644,70538351,71149799,71705346,72319010,73081655,73321192,73442306,73577805,73843314,74181026,74254763,74661771,75684996,75739307,75894914,76037903,77132411,77355602,77719370,78038952,78196043,78367991,78482992,78998876,79801514,79905707,80146427,80200703,81039095,81237932,81544360,81986807,82419951,82458204,82486341,82944002,83179212,84482279,85099917,85465545,85797266,86023803,86144807,86782812,87592625,87647644,87697986,87749831,87793821,88293366,88827047,90094763,90129531,90434060,90960263,91163248,91654511,91737405,92371307,92481695,92688591,92783723,93254639,93263244,93881570,93910331,93996071,94046843,95391071,95514045,95673770,95701259,95990087,96194882,96202187,96262203,96514444,97246914,97281291,97853232,98198025,98254103,98676383,99638831,...,3117860831300404199257022278526640900232241449820380630402787781314656995584568479111631039611959837380625456939374186718699647876249457707561371339694937498237107560273402389368093956477556747649078222288804910261071626200793880902959497355939129994045115242398656015629854592288071154407298171547197053028314297642629944850080854632794957071372712649888286275015625820423173664509921591994318890080167010489217260717404084207138615466106576332017127231432625311399032754072142401169246526426797208560099991144185593568571907754513382070705419654927291824541075060254393427529331745371885206783723886666493190313420086204573623806726936181493538077753999095341393793676551868599645043007568111103623167205294839384530311384262348376121089342892687848657652355074986329064187651903383988774034557812151082680148009562744816069620734182598149074140816378580365467647656642667893507594519110371996334372329016929150863223418673760779552280640645451193214162020270864768718601649258470257420680934545194346057453374531048018961617456208802933685722293077842920648741476151770245891191324031447530442287876082521164818769144494945699969712336048279033723819524448531952037022530927893421208726723654819826389681944147724745223442209599780025321155328041838954145709599565813200907758168286909229042948055543235247279260252594741599530568982166285346575409391500778014135112128140341159089979020898891850787441556199480554848702513155160638251630911507622994728841004248810003512742356412176583163968012478704286726148473366612559325693197305357138223280649526052348631611509889863232109849848829356864756211138850094674552276334627390504777288801558893628750746847268984364809569415113845124446990944142538723771781542595945558888770980487944363499633156037982639223243465599972711096211914530896682792646854426577100315374208428517840571096010767548167849625645851111244081518978412734830720005374886507478624925040732845682192830586902755495018896616127960025608396905961373852677283566218853389374428844044118605420677892067146403616563452825602944329869455528371010791892554294565878230081915570611645105868860403420346616607943547013038761399271041318018712507771623159574394697571640599091529662754308434096477193945276492171770174632032795023604767053586561927103018412468343067712887728056289531302913810320758537090277410656117847721710451148073985862898501976303416204639752761918883816985786057653753172078041300923962899569178290938058678764421000685861295615579909173210984992947078306066110390617429227368923408119024316720868734064754124967696772006823208931453642684182622773199230837071779552184879892442781006011853539323327074273982069073890414862125153386994999101067886429837789268398641014221961680563752303468217505269687487202627342368548646526495999903139359455661949521088665145135854682641759596535257918460588316883194461616003663154680618659807837685399959414797717866180372711328308704436272917497064909880068761081940149981521969983110483811081014615769427034062745530176953576231820985587074062383886234591111647174857555189429526294641446299515360813647608587463553792335627689644644743242334957646684491884856645492438579603371932637516719944057719087796049322029700040511432092172717157666546218103756600029631743391779017599440658162627955390692063360324422218332735310616227150262516853489132181503822019249306168832678711676388849277423173544970271579078969126181811305287698765465347650962785822686461976907341527387817365739227512385950890727807683890122736691767864346287430634785603154341052366502359590582088411498561243437607869882137430300541668243099380497941851998891150842495359830085995845606821061382515840703401307214350273074866902651282874344338203882580895512107942965838803730053708117646886326153025567447759070294559415198436967492658624574199511646139104978254167516833344459290887027333684450813122114003416175269062902974727164020842674415925406759506632428159037938843934529408465997853606121298786387562466709597116274319281182174096017265015022529261048082183755147444807277950556027302726147840890710002318713933810556289779164023618010940736221122372156499471650505363064909928815211659429357773072852355291603261390236801799453410214477053655747861384743897485379037995718064247829331088662854023953991663301860902086029202704296260851327076318089703019427965583131768501330722572132429918978307754774870557263017317889222994064661168273720595041171051064390880861095359697218052265497897135112240595088666923388759191735946747159604002893930487788236637354020827990185832698309344662303387180347613998073265651539898165106116472553792743094628856305213811148001257753803505294198582379153265756604668075837772099227743373648839902863441980388467231142039940527926572520629212666627637833484783582665824524940595158523520960479350209299610226061088953492379353389058086237717652368008898348}
30506 1319843542330010234822135988588437124796280070077852471536833542539253588722308725530740: {396409,426958,609940,670846,731928,792766,823419,1127353,1341604,1707608,1921059,2254558,2286975,2403733,2439440,2744370,2927328,3131509,3201555,3293244,3414992,3811375,3841866,4221013,4442926,4573650,4878560,5488380,5850409,5854272,6031093,6141406,6455188,6586056,6868366,7409313,7556312,8320558,8500851,8553109,8642404,9528958,9891166,10166953,10976926,11061013,11239609,11579566,11940958,11953273,12309673,12783646,13254015,13735828,14106286,14137616,14167155,15111632,15187006,15681109,15904818,15906766,16387573,16985326,17000586,17703646,17769368,18540958,18554403,19138558,19201909,19990539,20077609,21711268,22088575,22120558,23125971,23592728,24142606,24429109,25984633,26041486,26416623,26500952,26506290,26541819,26846293,27190453,27328899,27462958,27706153,28210708,28273376,29472766,29522523,29813571,30053163,30445609,30583155,31242286,31297909,31468153,31807548,32404755,32622032,32827513,32997109,33360958,34338563,34535758,34565072,35122558,35777575,36205753,36699786,37629215,37699726,37884073,38284366,38540755,38720533,38885706,38985406,41551033,41783806,42048373,42933090,43041109,43206313,43207131,43901912,44024815,44224846,44576147,44689006,45155058,45675733,45795296,46142308,46167673,46248906,46774558,46794008,46855828,46986133,47135543,47965909,48128953,48687951,48739486,48777555,48780409,48943093,49055090,49389651,49686015,50241973,50404009,51051433,51160366,51213109,51519708,51842404,52029392,52643259,52677443,52829778,52998416,53264548,53790133,55231609,55408558,55456472,56641871,56826409,57124558,57457263,57695758,57779833,58339352,58533066,58866108,58941604,59623218,59671155,59994409,60204286,60773326,61257603,61910206,62388531,62478046,62670619,63649232,63680210,64156043,64292446,64536853,64858606,65130411,65631771,65650558,66935999,66974168,67017109,67336490,68284083,68404153,68662495,68672618,68697886,68735955,69936046,70021731,70078700,70385806,71008213,71284558,71351315,71453055,71605386,73318352,74045173,74649109,74799913,74981086,75251893,75253490,75345939,75402409,75588248,75762958,76097806,76216592,76416252,76753813,78397609,79660558,79767842,79887512,79993726,80437726,80803788,81290575,81406515,81465508,82394994,82483146,82983253,82985758,83716393,84094440,84447733,85036779,85177273,85415086,85621578,85743666,85966126,86076286,86296558,86630953,86829555,86833616,88077433,88443748,88470488,88654009,89146442,89293611,89373646,89700736,89873451,90304188,90531604,90907486,90958259,91554843,91563886,91651490,91932051,92618192,92941609,93649909,94264898,94510558,94606245,94955763,95607128,95623573,95855474,95904373,96142558,97164409,97548690,97687818,97770958,97861909,98103740,98457752,98557609,98748595,99529299,99549028,99720286,...,4676791246950606298885533417789961350348362174730570945604181671971985493376852718667446559417939756070938185409061280078049471814374186561342057009542406247355661340410103584052140934716335121473617333433207365391607439301190821354439246033908694991067672863597984023444781888432106731610947257320795579542471446463944917275121281949192435607059068974832429412523438730634760496764882387991478335120250515733825891076106126310707923199159864498025690847148937967098549131108213601753869789640195812840149986716278390352857861631770073106058129482390937736811612590381590141293997618057827810175585829999739785470130129306860435710090404272240307116630998643012090690514827802899467564511352166655434750807942259076795467076393522564181634014339031772986478532612479493596281477855075983161051836718226624020222014344117224104431101273897223611211224567870548201471484964001840261391778665557994501558493525393726294835128010641169328420960968176789821243030406297153077902473887705386131021401817791519086180061796572028442426184313204400528583439616764380973112214227655368836786986047171295663431814123781747228153716742418549954568504072418550585729286672797928055533796391840131813090085482229739584522916221587117835163314399670037981732992062758431218564399348719801361637252430363843564422083314852870918890378892112399295853473249428019863114087251167021202668192210511738634968531348337776181162334299220832273053769732740957377446367261434492093261506373215005269113534618264874745952018718056430089222710049918838988539795958035707334920974289078522947417264834794848164774773244035297134316708275142011828414501941085757165933202338340443126120270903476547214354122670767686670486416213808085657672313893918338333156470731916545249449734056973958834865198399959066644317871796345024188970281639865650473061312642776760856644016151322251774438468776666866122278467619102246080008062329761217937387561099268523289245880354133242528344924191940038412595358942060779015925349328280084061643266066177908131016838100719605424845179238404416494804183292556516187838831441848817345122873355917467658803290605130519924911915320519558142098906561977028068761657434739361592046357460898637294494131462651144715790917914738257655261948049192535407150580379842890654527618702514601569331592084434296954370715481137805635416115984176771582565676722110978794347752964455124306959629142878325725478679086480629758117061951385944349353767436407088018146631501028791943423369863759816477489420617459099165585926143841053385112178536475081303101097131187451545158010234813397180464026273934159798846255607669328277319838664171509017780308984990611410973103610835622293187730080492498651601829644756683902597961521332942520845628455202326257904531230803941013552822969789743999854709039183492924281632997717703782023962639394802886877690882475324791692424005494732020927989711756528099939122196576799270559066992463056654409376245597364820103141622910224972282954974665725716621521923654140551094118295265430364347731478380611093575829351886667470762286332784144289441962169449273041220471412881195330688503441534466967114863502436470026737827284968238657869405057898956275079916086578631694073983044550060767148138259075736499819327155634900044447615087668526399160987243941933086038095040486633327499102965924340725393775280233698272255733028873959253249018067514583273916134760317455407368618453689272716957931548148198021476444178734029692965361012291081726048608841268578926336091711525835184105037651796519431145952178404731511578549753539385873132617247841865156411804823206145450812502364649070746912777998336726263743039745128993768410231592073773761055101960821525409612300353976924311516507305823871343268161914448758205595080562176470329489229538351171638605441839122797655451238987936861299267469208657467381251275250016688936330541000526676219683171005124262903594354462090746031264011623888110139259948642238556908265901794112698996780409181948179581343700064395674411478921773261144025897522533793891572123275632721167210916925834040954089221761336065003478070900715834434668746035427016411104331683558234749207475758044597364893222817489144036659609278532937404892085355202699180115321715580483621792077115846228068556993577096371743996632994281035930987494952791353129043804056444391276990614477134554529141948374697652751996083858198644878467461632162305835894525976833834491096991752410580892561756576596586321291643039545827078398246845702668360892633000385083138787603920120739406004340895731682354956031031241985278749047464016993455080770521420997109898477309847247659174708830689114641943284457820716722001886630705257941297873568729898634907002113756658148841615060473259854295162970582700846713059910791889858780943818999941456750227175373998736787410892737785281440719025313949415339091633430238569030083587129356576478552013347522}
30507 1323910850500912061249544570390198118193034328928324695540436645551421092273581500647796: {640437,762425,914910,975904,1006269,1097892,1189149,1494157,1677005,2012406,2134510,2561412,2988118,3049300,3381837,3659160,3903104,4116555,4268740,4390992,4939866,5122488,5762799,6098200,6611773,6664389,6860475,7317840,7805696,8068985,8232570,8781408,9212109,9445390,9682782,9718973,9879084,10302549,10803005,10999309,11334468,11912597,12370414,12480837,12963606,13222678,14293437,14836749,15548197,15742133,16465389,17169785,17369349,17672020,17911437,18220462,18889540,19175469,19682974,20603742,20643637,21159429,21206424,21222953,21997174,22211710,22667448,22780509,23188333,23857227,23860149,24739204,25477989,25500879,25607609,26501917,26555469,26654052,27139085,27811437,28544278,28707837,29490910,30244438,30522293,30834628,32566902,33126190,33180837,34041982,35222164,35263385,35264893,35341720,35389092,35767853,36213909,36438532,37095389,38414173,39062229,39363364,39751428,39759435,40070884,40693549,40777540,40944757,41194437,41477453,42316062,42410064,42811294,43206340,44209149,44849398,45525718,46373614,46863429,47711322,48263566,48409357,48524413,48933048,49738733,50041437,50135917,51046933,51803637,51847608,52177913,52683837,54877390,55049679,55693078,56010613,56549589,57244120,57426549,57609508,57677885,57704669,58328559,58478109,58492510,58569785,58602397,60206744,61665208,62675709,63105598,64153558,64399635,64803005,64917268,65036740,65852868,66139717,66248020,66337269,66580685,66689518,67033509,67732587,68217334,68692944,68801989,68866006,69213462,69320590,69373359,69901573,70161837,70191012,70283742,70352542,70439704,71326489,72924190,73109229,73582635,73677005,75369037,75581693,75979414,76609684,76740549,76853753,77279562,77411677,77763606,78044088,78434009,78488144,79244667,79497624,79561540,79747069,79806766,79896822,81040918,81129046,81381742,81676804,83112837,83184708,83320078,83656237,83717710,84845398,85686837,86086997,86150533,86543637,86840548,87509028,87598375,87755629,87799599,88299162,88412406,88664278,88832893,89434827,90306429,91045444,91159989,91647940,92315518,92865309,93362308,93717069,94485310,94782649,95270740,95397349,95473848,95520315,95623397,95891062,96201238,96438669,97042414,97287909,97344269,98475837,99859390,...,7015186870425909448328300126684942025522543262095856418406272507957978240065279078001169839126909634106407278113591920117074207721561279842013085514313609371033492010615155376078211402074502682210426000149811048087411158951786232031658869050863042486601509295396976035167172832648160097416420885981193369313707169695917375912681922923788653410588603462248644118785158095952140745147323581987217502680375773600738836614159189466061884798739796747038536270723406950647823696662320402630804684460293719260224980074417585529286792447655109659087194223586406605217418885572385211940996427086741715263378744999609678205195193960290653565135606408360460674946497964518136035772241704349201346767028249983152126211913388615193200614590283846272451021508547659479717798918719240394422216782613974741577755077339936030333021516175836156646651910845835416816836851805822302207227446002760392087667998336991752337740288090589442252692015961753992631441452265184731864545609445729616853710831558079196532102726687278629270092694858042663639276469806600792875159425146571459668321341483053255180479070756943495147721185672620842230575113627824931852756108627825878593930009196892083300694587760197719635128223344609376784374332380676752744971599505056972599488094137646827846599023079702042455878645545765346633124972279306378335568338168598943780209874142029794671130876750531804002288315767607952452797022506664271743501448831248409580654599111436066169550892151738139892259559822507903670301927397312118928028077084645133834065074878258482809693937053561002381461433617784421125897252192272247162159866052945701475062412713017742621752911628635748899803507510664689180406355214820821531184006151530005729624320712128486508470840877507499734706097874817874174601085460938252297797599938599966476807694517536283455422459798475709591968964165141284966024226983377661657703165000299183417701428653369120012093494641826906081341648902784933868820531199863792517386287910057618893038413091168523888023992420126092464899099266862196525257151079408137267768857606624742206274938834774281758247162773226017684310033876201488204935907695779887367872980779337213148359842965542103142486152109042388069536191347955941741197193976717073686376872107386482892922073788803110725870569764335981791428053771902353997388126651445431556073221706708453124173976265157373848515083166468191521629446682686460439443714317488588218018629720944637175592927078916524030651154610632027219947251543187915135054795639724716234130926188648748378889215761580077668267804712621954651645696781177317737015352220095770696039410901239698269383411503992415979757996257263526670463477485917116459655416253433439781595120738747977402744467135025853896942281999413781268442682803489386856796846205911520329234454684615999782063558775239386422449496576555673035943959092204330316536323712987187538636008242098031391984567634792149908683294865198905838600488694584981614064368396047230154712434365337458424432461998588574932282885481210826641177442898145546521597217570916640363744027830001206143429499176216434162943254173909561830707119321792996032755162301700450672295253654705040106740927452357986804107586848434412619874129867947541110974566825091150722207388613604749728990733452350066671422631502789598741480865912899629057142560729949991248654448886511088090662920350547408383599543310938879873527101271874910874202140476183111052927680533909075436897322222297032214666268101044539448041518436622589072913261902868389504137567288752776157556477694779146718928267607097267367824630309078809698925871762797734617707234809218176218753546973606120369166997505089395614559617693490652615347388110660641582652941232288114418450530965386467274760958735807014902242871673137308392620843264705494233844307526757457908162758684196483176858481905291948901203812986201071876912875025033404495811500790014329524756507686394355391531693136119046896017435832165208889922963357835362398852691169048495170613772922269372015550096593511617218382659891716038846283800690837358184913449081750816375388751061431133832642004097505217106351073751652003119053140524616656497525337352123811213637066896047339834226233716054989413917799406107338128032804048770172982573370725432688115673769342102835490365644557615994949491421553896481242429187029693565706084666586915485921715701831793712922562046479127994125787297967317701192448243458753841788965250751736645487628615871338842634864894879481937464559318740617597370268554002541338949500577624708181405880181109109006511343597523532434046546862977918123571196025490182621155782131495664847715964770871488762063246033671962914926686731075083002829946057886911946810353094847952360503170634987223262422590709889781442744455874051270069589866187834788171415728499912185125340763060998105181116339106677922161078537970924123008637450145357853545125380694034864717828020021283}
30508 1327990620245641751654318507271368405807054558494860018024387806774888680410837143487548: {335467,518347,792818,853916,1219880,1249147,1341692,1372365,1463856,1585532,1646838,1796491,2254706,2683208,3018609,3201765,3415216,3811625,3842118,4482177,4509116,4573950,4807466,4878880,5066947,5335925,5488740,5854656,6263018,6403110,6586488,6829984,7234291,7409799,7622750,7683732,8442026,8885852,9147300,9391267,9757120,10465867,10976760,11700818,11708544,11716291,12062186,12282812,12348855,12607291,12910376,13172112,13496491,13736732,13851667,14168085,14383891,14524173,14818626,15112624,16641116,17001702,17106218,17284808,17563627,18555621,19057916,19144747,19445409,19782332,19834017,20333906,21418291,21953852,22090025,22122026,22479218,23159132,23611925,23881916,23906546,24619346,24892291,25567292,26508030,27330693,27471656,27822547,28212572,28275232,28334310,28680427,28851787,29524461,30223264,30374012,30905613,30924005,31362218,31809636,31813532,32263867,32603491,32775146,32995761,33317565,33970652,34001172,34635187,35407292,35538736,37081916,37108806,37327987,37998307,38165707,38277116,38403818,38543285,39669067,39981078,40155218,42816417,42988987,43154227,43422536,43484491,44027705,44177150,44236365,44241116,45131491,45366657,45548165,46251942,46443907,47185456,47261827,48285212,48850353,48858218,49204205,49689285,50088605,50971925,51062973,51969266,51970267,52082972,52680901,52833246,52936867,53001904,53012580,53083638,53692586,53740387,53957057,54007925,54061291,54380906,54381907,54657798,54925916,55412306,55661491,56421416,56546752,58840291,58945532,59045046,59627142,59630491,60106326,60891218,61166310,61634741,62484572,62595818,62674733,62936306,63474093,63615096,64216941,64800667,64809510,65244064,65655026,65994218,66351907,66721916,66940393,67274097,67433491,67741867,68288577,68677126,69071516,69130144,69432787,69560421,70043633,70245116,71555150,71566983,72011885,72332947,72395349,72411506,73399572,74000107,74065277,75056491,75258430,75399452,75768146,75808891,76109347,76568732,77081510,77441066,77771412,77970812,78055291,79098067,79989067,80729587,81146585,81295925,81468307,81763291,82316085,82499491,82810025,83102066,83539617,83567612,84096746,85866180,86082218,86412626,86414262,87602491,87738765,87803824,88049630,88449692,89152294,89378012,90310116,90478891,91351466,91590592,92284616,92335346,92497812,93326491,93549116,93588016,93711656,93972266,94271086,94316347,94658397,95161987,95762105,95864707,95931818,96127493,96230337,96257906,96425587,97264747,97375902,97478972,97555110,97560818,97886186,98110180,98240491,98779302,99372030,99451925,99891841,...,9353582493901212597771066835579922700696724349461141891208363343943970986753705437334893118835879512141876370818122560156098943628748373122684114019084812494711322680820207168104281869432670242947234666866414730783214878602381642708878492067817389982135345727195968046889563776864213463221894514641591159084942892927889834550242563898384871214118137949664858825046877461269520993529764775982956670240501031467651782152212252621415846398319728996051381694297875934197098262216427203507739579280391625680299973432556780705715723263540146212116258964781875473623225180763180282587995236115655620351171659999479570940260258613720871420180808544480614233261997286024181381029655605798935129022704333310869501615884518153590934152787045128363268028678063545972957065224958987192562955710151966322103673436453248040444028688234448208862202547794447222422449135741096402942969928003680522783557331115989003116987050787452589670256021282338656841921936353579642486060812594306155804947775410772262042803635583038172360123593144056884852368626408801057166879233528761946224428455310737673573972094342591326863628247563494456307433484837099909137008144837101171458573345595856111067592783680263626180170964459479169045832443174235670326628799340075963465984125516862437128798697439602723274504860727687128844166629705741837780757784224798591706946498856039726228174502334042405336384421023477269937062696675552362324668598441664546107539465481914754892734522868984186523012746430010538227069236529749491904037436112860178445420099837677977079591916071414669841948578157045894834529669589696329549546488070594268633416550284023656829003882171514331866404676680886252240541806953094428708245341535373340972832427616171315344627787836676666312941463833090498899468113947917669730396799918133288635743592690048377940563279731300946122625285553521713288032302644503548876937553333732244556935238204492160016124659522435874775122198537046578491760708266485056689848383880076825190717884121558031850698656560168123286532132355816262033676201439210849690358476808832989608366585113032375677662883697634690245746711834935317606581210261039849823830641039116284197813123954056137523314869478723184092714921797274588988262925302289431581835829476515310523896098385070814301160759685781309055237405029203138663184168868593908741430962275611270832231968353543165131353444221957588695505928910248613919258285756651450957358172961259516234123902771888698707534872814176036293263002057583886846739727519632954978841234918198331171852287682106770224357072950162606202194262374903090316020469626794360928052547868319597692511215338656554639677328343018035560617969981222821946207221671244586375460160984997303203659289513367805195923042665885041691256910404652515809062461607882027105645939579487999709418078366985848563265995435407564047925278789605773755381764950649583384848010989464041855979423513056199878244393153598541118133984926113308818752491194729640206283245820449944565909949331451433243043847308281102188236590530860728695462956761222187151658703773334941524572665568288578883924338898546082440942825762390661377006883068933934229727004872940053475654569936477315738810115797912550159832173157263388147966089100121534296276518151472999638654311269800088895230175337052798321974487883866172076190080973266654998205931848681450787550560467396544511466057747918506498036135029166547832269520634910814737236907378545433915863096296396042952888357468059385930722024582163452097217682537157852672183423051670368210075303593038862291904356809463023157099507078771746265234495683730312823609646412290901625004729298141493825555996673452527486079490257987536820463184147547522110203921643050819224600707953848623033014611647742686536323828897516411190161124352940658978459076702343277210883678245595310902477975873722598534938417314934762502550500033377872661082001053352439366342010248525807188708924181492062528023247776220278519897284477113816531803588225397993560818363896359162687400128791348822957843546522288051795045067587783144246551265442334421833851668081908178443522672130006956141801431668869337492070854032822208663367116469498414951516089194729786445634978288073319218557065874809784170710405398360230643431160967243584154231692456137113987154192743487993265988562071861974989905582706258087608112888782553981228954269109058283896749395305503992167716397289756934923264324611671789051953667668982193983504821161785123513153193172642583286079091654156796493691405336721785266000770166277575207840241478812008681791463364709912062062483970557498094928033986910161541042841994219796954619694495318349417661378229283886568915641433444003773261410515882595747137459797269814004227513316297683230120946519708590325941165401693426119821583779717561887637999882913500454350747997473574821785475570562881438050627898830678183266860477138060167174258713152957104026695044}
30509 1332082889523471846438075786344390384110776931735165387103380680865048015300309784822457: {30509,1067395,1189227,1280874,1524850,1677115,1829820,1951808,1981915,2012538,2195784,2347807,2378298,2470257,2988314,3354010,3382059,4024812,4269020,5122824,5636395,5763177,5976236,6098600,6763674,6860925,7211199,7318320,7806208,8233110,8537480,8781984,9394527,9604665,9719611,9879732,10244976,10389247,11107315,11296579,11434125,11486059,11525598,11913379,12196400,12663039,13223546,13314079,13328778,13720950,14635680,15124207,15353515,15611392,16137970,16465140,17170915,17551227,17562816,18093279,18424218,18604339,18890780,19365564,19437946,19758168,20605098,20801395,21606010,21998618,22227939,22258219,22427647,22668936,23719771,23763487,23822395,23825194,24037699,24727915,24740828,24961674,25502553,25659327,25912099,25927212,26445356,27373651,27442315,28586874,28948915,29673498,29852395,30500859,31096394,31484266,31556947,31959115,32930778,33183039,33718827,34113151,34339570,34738698,35265715,35344040,35770207,35822874,35859819,36436411,36440924,36929019,37779080,37967515,37994719,38350938,39365948,39762045,39766915,41207484,41287274,41289439,42271099,42318858,42412848,42445906,42463315,42501465,43758847,43994348,44259115,44337967,44423420,45334896,45561018,45999739,46163827,46352395,46376666,46766299,47043327,47714454,47720298,47846395,49162719,49368739,49478408,50406367,50955978,51001758,51147787,51215218,52181347,52398907,53003834,53110938,53211139,53308104,54278170,55301395,55622874,55663209,57088556,57415674,57605727,58039327,58316491,58782139,58981820,59698111,59971617,60232827,60356515,60488876,61044586,61669256,63675007,65103715,65133804,66252380,66265725,66361674,67797859,68083964,68196427,68657395,69377913,70444328,70526770,70529786,70683440,70778184,71535706,72427818,72877064,73287327,73681915,74190778,75586687,76247611,76828346,77885347,77953899,78105715,78124458,78439171,78726728,79249869,79502856,79518870,79550911,79625457,80141768,80538879,80749039,81387098,81555080,81571359,81889514,81986697,81997699,82388874,82954906,83118459,83402395,83843251,84307519,84632124,84820128,85402027,85491307,85622588,85895371,86339395,86412680,87806395,88418298,88567569,89168179,89323819,89440713,89698796,90159489,90724207,91051436,91336827,91749465,92242459,92747228,93212959,93324619,93726858,93893727,94249315,94404459,95422644,95710915,96214879,96527132,96818714,97019359,97048826,97214265,97463515,97866096,98429971,98482539,98991327,99477466,99512659,...,14030373740851818896656600253369884051045086524191712836812545015915956480130558156002339678253819268212814556227183840234148415443122559684026171028627218742066984021230310752156422804149005364420852000299622096174822317903572464063317738101726084973203018590793952070334345665296320194832841771962386738627414339391834751825363845847577306821177206924497288237570316191904281490294647163974435005360751547201477673228318378932123769597479593494077072541446813901295647393324640805261609368920587438520449960148835171058573584895310219318174388447172813210434837771144770423881992854173483430526757489999219356410390387920581307130271212816720921349892995929036272071544483408698402693534056499966304252423826777230386401229180567692544902043017095318959435597837438480788844433565227949483155510154679872060666043032351672313293303821691670833633673703611644604414454892005520784175335996673983504675480576181178884505384031923507985262882904530369463729091218891459233707421663116158393064205453374557258540185389716085327278552939613201585750318850293142919336642682966106510360958141513886990295442371345241684461150227255649863705512217255651757187860018393784166601389175520395439270256446689218753568748664761353505489943199010113945198976188275293655693198046159404084911757291091530693266249944558612756671136676337197887560419748284059589342261753501063608004576631535215904905594045013328543487002897662496819161309198222872132339101784303476279784519119645015807340603854794624237856056154169290267668130149756516965619387874107122004762922867235568842251794504384544494324319732105891402950124825426035485243505823257271497799607015021329378360812710429641643062368012303060011459248641424256973016941681755014999469412195749635748349202170921876504595595199877199932953615389035072566910844919596951419183937928330282569932048453966755323315406330000598366835402857306738240024186989283653812162683297805569867737641062399727585034772575820115237786076826182337047776047984840252184929798198533724393050514302158816274535537715213249484412549877669548563516494325546452035368620067752402976409871815391559774735745961558674426296719685931084206284972304218084776139072382695911883482394387953434147372753744214772965785844147577606221451741139528671963582856107543804707994776253302890863112146443413416906248347952530314747697030166332936383043258893365372920878887428634977176436037259441889274351185854157833048061302309221264054439894503086375830270109591279449432468261852377297496757778431523160155336535609425243909303291393562354635474030704440191541392078821802479396538766823007984831959515992514527053340926954971834232919310832506866879563190241477495954805488934270051707793884563998827562536885365606978773713593692411823040658468909369231999564127117550478772844898993153111346071887918184408660633072647425974375077272016484196062783969135269584299817366589730397811677200977389169963228128736792094460309424868730674916848864923997177149864565770962421653282354885796291093043194435141833280727488055660002412286858998352432868325886508347819123661414238643585992065510324603400901344590507309410080213481854904715973608215173696868825239748259735895082221949133650182301444414777227209499457981466904700133342845263005579197482961731825799258114285121459899982497308897773022176181325840701094816767199086621877759747054202543749821748404280952366222105855361067818150873794644444594064429332536202089078896083036873245178145826523805736779008275134577505552315112955389558293437856535214194534735649260618157619397851743525595469235414469618436352437507093947212240738333995010178791229119235386981305230694776221321283165305882464576228836901061930772934549521917471614029804485743346274616785241686529410988467688615053514915816325517368392966353716963810583897802407625972402143753825750050066808991623001580028659049513015372788710783063386272238093792034871664330417779845926715670724797705382338096990341227545844538744031100193187023234436765319783432077692567601381674716369826898163501632750777502122862267665284008195010434212702147503304006238106281049233312995050674704247622427274133792094679668452467432109978827835598812214676256065608097540345965146741450865376231347538684205670980731289115231989898982843107792962484858374059387131412169333173830971843431403663587425845124092958255988251574595934635402384896486917507683577930501503473290975257231742677685269729789758963874929118637481235194740537108005082677899001155249416362811760362218218013022687195047064868093093725955836247142392050980365242311564262991329695431929541742977524126492067343925829853373462150166005659892115773823893620706189695904721006341269974446524845181419779562885488911748102540139179732375669576342831456999824370250681526121996210362232678213355844322157075941848246017274900290715707090250761388069729435656040042566}
30510 1336187696408633121715614704479554100733909763948558686111796533587928060949578076108435: {396461,518381,579329,670934,1036694,1249229,1310081,1585636,1707832,1857389,1921311,2287275,2404049,2439760,2498294,2525441,2683384,2744730,2927712,3018807,3171064,3253121,3293676,3567447,3592982,4482471,4509412,4946561,5031015,5336275,5366416,5790929,5971661,6037218,6403530,6830432,7234769,7294829,7470295,7595009,7623250,7684236,7775021,8134829,8964354,9018232,9147900,9272321,9451661,9614932,9757760,10133894,10145511,10526189,10671850,10977480,11241101,11709312,11954861,12073709,12349665,12526036,12608129,12667469,12806220,13172976,13201169,13659968,13911761,14468582,14819598,14975489,15245500,15367464,15624269,16860161,16884052,17288397,17740781,17771704,18294600,18782534,18853649,19204481,19321361,19514240,19671809,19835319,19993167,20080301,20196941,20581425,20604929,20931734,21953520,22349009,22523021,22870829,23392001,23401636,23417088,23432582,23613475,24124372,24206955,24547841,24565624,24697710,24893969,25214582,25820752,25988141,26103149,26344224,26964689,26992982,27473464,27480749,27636327,27703334,27709901,27824429,28336170,28767782,29025041,29048346,29156919,29637252,29766509,30225248,30907647,30926035,31982801,32409015,32605709,32997927,33001601,33056695,33282232,34003404,34130561,34212436,34355969,34569616,35127254,35537261,35737791,35818001,36827009,37111242,37386449,37442511,37665869,38000909,38056721,38115832,38289494,38502929,38890818,39564664,39668034,40005101,40227149,40667812,41003309,41667341,42054161,42164609,42836582,42880311,43047041,43157201,43212269,43293607,43322381,43907704,44180050,44244052,44366849,44510247,44860589,44958436,45551155,45791441,46283309,46318264,46501709,46644591,47223850,47226399,47763832,47813092,48081281,48787181,48895661,49207435,49238692,49396167,49545869,49784582,50573009,51134584,51328001,51509355,52108047,52296401,52940561,53016060,53315789,53476481,53734311,53797649,53960599,54065069,54545921,54661386,54706061,54943312,54992935,55186049,55529275,55645094,55718609,56303501,56425144,56550464,56668620,56834381,56940461,57311489,57360854,57470381,57526407,57703574,58686161,59048922,59160749,59634689,60446528,60748024,61262189,61638787,61811226,61848010,61930911,62360321,62621261,62724436,62829869,63478287,63619272,63627064,63668859,63767431,64390349,64527734,65116109,65206982,65550292,65991522,66098561,66635130,67438289,67746689,67941304,68002344,68054801,68341527,68516429,68885887,68977409,69270374,69564999,70048231,70124047,70814584,71077472,71120081,71272589,71360695,71475821,71571681,71580447,72338129,72388781,72793709,72995981,73727275,74055809,74070139,74156561,74163832,74217612,74655974,74659841,74760401,74911181,75262721,75363089,75563729,75611095,75864449,75996614,76331414,76433967,76502637,76554232,76764881,76807636,76822827,77014541,77086570,78060929,78508301,79004621,79338134,79505751,79549649,79666407,79962156,80310436,80735441,81417255,81769229,81818369,82554509,82778839,82815475,83093201,83434311,84021389,84460049,84557441,85104955,85632834,85977974,86123511,86308454,86845072,86933549,86968982,87531691,88055410,88090349,88354300,88472730,88482232,88619009,88763021,89098769,89769089,90103661,90246929,90262982,90533249,90733314,91096330,91566879,92339921,92503884,92887814,92955341,93333389,93758081,94370912,94511489,94523654,94934381,95215949,95871821,95918609,96479441,96570424,97039121,97271981,97597649,97700706,97716436,98408410,98525969,98664941,99127661,99378570,99404909,99542511,99820241,99958541,...,21045560611277728344984900380054826076567629786287569255218817523873934720195837234003509517380728902319221834340775760351222623164683839526039256542940828113100476031845466128234634206223508046631278000449433144262233476855358696094976607152589127459804527886190928105501518497944480292249262657943580107941121509087752127738045768771365960231765810386745932356355474287856422235441970745961652508041127320802216509842477568398185654396219390241115608812170220851943471089986961207892414053380881157780674940223252756587860377342965328977261582670759219815652256656717155635822989281260225145790136234998829034615585581880871960695406819225081382024839493893554408107316725113047604040301084749949456378635740165845579601843770851538817353064525642978439153396756157721183266650347841924224733265232019808090999064548527508469939955732537506250450510555417466906621682338008281176263003995010975257013220864271768326758076047885261977894324356795554195593636828337188850561132494674237589596308180061835887810278084574127990917829409419802378625478275439714379004964024449159765541437212270830485443163557017862526691725340883474795558268325883477635781790027590676249902083763280593158905384670033828130353122997142030258234914798515170917798464282412940483539797069239106127367635936637296039899374916837919135006705014505796831340629622426089384013392630251595412006864947302823857358391067519992815230504346493745228741963797334308198508652676455214419676778679467523711010905782191936356784084231253935401502195224634775448429081811160683007144384300853353263377691756576816741486479598158837104425187238139053227865258734885907246699410522531994067541219065644462464593552018454590017188872962136385459525412522632522499204118293624453622523803256382814756893392799815799899430423083552608850366267379395427128775906892495423854898072680950132984973109495000897550253104285960107360036280483925480718244024946708354801606461593599591377552158863730172856679115239273505571664071977260378277394697297800586589575771453238224411803306572819874226618824816504322845274741488319678053052930101628604464614807723087339662103618942338011639445079528896626309427458456327127164208608574043867825223591581930151221059130616322159448678766221366409332177611709293007945374284161315707061992164379954336294668219665120125359372521928795472121545545249499404574564888340048059381318331142952465764654055889162833911526778781236749572091953463831896081659841754629563745405164386919174148702392778565946245136667647284740233004803414137865863954937090343531953211046056660287312088118232703719094808150234511977247939273988771790580011390432457751349378966248760300319344785362216243932208233401405077561690826845998241343805328048410468160570390538617734560987703364053847999346190676325718159267348489729667019107831877276612990949608971138961562615908024726294094175953702904376449726049884595596717515801466083754944842193105188141690464137303096012375273297385995765724796848656443632479923532328694436639564791652712749921091232083490003618430288497528649302488829762521728685492121357965378988098265486905101352016885760964115120320222782357073960412322760545303237859622389603842623332923700475273452166622165840814249186972200357050200014267894508368796224442597738698887171427682189849973745963346659533264271988761051642225150798629932816639620581303815624732622606421428549333158783041601727226310691966666891096643998804303133618344124555309867767218739785708605168512412701866258328472669433084337440156784802821291802103473890927236429096777615288393203853121704427654528656260640920818361107500992515268186843678853080471957846042164331981924747958823696864343255351592896159401824282876207421044706728615019411925177862529794116482701532922580272373724488276052589449530575445715875846703611438958603215630738625075100213487434502370042988574269523059183066174595079408357140688052307496495626669768890073506087196558073507145485511841318766808116046650289780534851655147979675148116538851402072512074554740347245252449126166253184293401497926012292515651319053221254956009357159421573849969492576012056371433640911200688142019502678701148164968241753398218322014384098412146310518947720112176298064347021308026308506471096933672847984848474264661689443727287561089080697118253999760746457765147105495381138767686139437383982377361893901953103577344730376261525366895752255209936462885847614016527904594684638445812393677956221852792110805662007624016848501732874124544217640543327327019534030792570597302139640588933754370713588076470547863467346394486994543147894312614466286189738101015888744780060193225249008489838173660735840431059284543857081509511904961669787267772129669344328233367622153810208769598563504364514247185499736555376022289182994315543349017320033766483235613912772369025912350436073560635376142082104594153484060063849}
30511 1340305079090660718041706806674475281923816494034869879357870200875551799638349313022960: {61018,1006401,1494353,1555041,1982045,2134790,2347961,2378454,2561748,2774681,3049700,3354230,3659640,3747441,3903616,3963830,4025076,4117095,4391568,4695614,4756596,4940514,5389473,5636765,5976628,6708020,6764118,7890953,8049624,8538040,9055827,9605295,10245648,10389929,11272790,11434875,11486813,11526354,11952472,12018665,12197200,12278201,13314953,13446531,13527348,13721850,14422398,14636640,15200841,15550241,15612416,15657545,16007775,16466220,17074960,17563968,18789054,19056875,19209330,19439222,19759464,20489952,20778494,21105065,21494921,21702873,22214630,22229397,22593158,22868250,22972118,23051196,23826758,24039281,24392800,24432881,24876833,25326078,26447092,26505401,26628158,26657556,27441900,28084121,28173801,29121953,29252045,29261489,29271360,30155465,30248414,30707030,31222784,31397601,32275940,32440001,32930280,33351353,34341830,34619081,34656353,35102454,35125632,35148873,35269529,36186558,36438809,36848436,37046565,37208678,37781560,37821873,38419241,38731128,38875892,39516336,40489473,40528481,41210196,41555001,41602790,41793353,42273881,42504255,42689081,42765545,43061213,43151673,43212020,43572519,43997236,44455878,44516438,44742761,44855294,45337872,47439542,47526974,47644790,47650388,48075398,48415721,49372001,49455830,49481656,49923348,49991561,50834765,51005106,51318654,51411473,51715001,51824198,51854424,52690881,52890712,52912553,53154521,53214641,53642801,54747302,54884630,55305065,55666863,55673681,56198045,57173748,57434241,57897830,58320329,58336227,59346996,59448641,59471273,59502051,59571161,59704790,59766365,60365129,61001718,61548365,61925981,61962761,62192788,62968532,63113894,63918230,64254873,64341761,64893353,65562353,65861556,66270075,66366078,66984953,67437654,67802321,68226302,68679140,69477396,69653273,70531430,70552313,70688080,70835775,71540414,71645748,71719638,72872822,72881848,73858038,74676873,75252281,75558160,75935030,75989438,76252649,76701876,77421953,78405545,78731896,79524090,79533830,79868681,80216609,81937865,81992079,82414968,82574548,82578878,83467641,83517041,83848769,84499121,84542198,84637716,84825696,84891812,84926630,85002930,86041281,86555361,87048329,87165401,87517694,87988696,88518230,88573383,88675934,88846840,89329721,90110813,90669792,91122036,91145201,91999478,92089481,92327654,92704790,92716839,92753332,92772015,93273101,93330761,93532598,94014713,94086654,95428908,95440596,95692790,96009545,96120353,96791601,97810473,98325438,98436449,98737478,98956816,98987283,99658553,99952695,...,28060747481703637793313200506739768102090173048383425673625090031831912960261116312004679356507638536425629112454367680468296830886245119368052342057254437484133968042460621504312845608298010728841704000599244192349644635807144928126635476203452169946406037181587904140668691330592640389665683543924773477254828678783669503650727691695154613642354413848994576475140632383808562980589294327948870010721503094402955346456636757864247539194959186988154145082893627802591294786649281610523218737841174877040899920297670342117147169790620438636348776894345626420869675542289540847763985708346966861053514979998438712820780775841162614260542425633441842699785991858072544143088966817396805387068112999932608504847653554460772802458361135385089804086034190637918871195674876961577688867130455898966311020309359744121332086064703344626586607643383341667267347407223289208828909784011041568350671993347967009350961152362357769010768063847015970525765809060738927458182437782918467414843326232316786128410906749114517080370779432170654557105879226403171500637700586285838673285365932213020721916283027773980590884742690483368922300454511299727411024434511303514375720036787568333202778351040790878540512893378437507137497329522707010979886398020227890397952376550587311386396092318808169823514582183061386532499889117225513342273352674395775120839496568119178684523507002127216009153263070431809811188090026657086974005795324993638322618396445744264678203568606952559569038239290031614681207709589248475712112308338580535336260299513033931238775748214244009525845734471137684503589008769088988648639464211782805900249650852070970487011646514542995599214030042658756721625420859283286124736024606120022918497282848513946033883363510029998938824391499271496698404341843753009191190399754399865907230778070145133821689839193902838367875856660565139864096907933510646630812660001196733670805714613476480048373978567307624325366595611139735475282124799455170069545151640230475572153652364674095552095969680504369859596397067448786101028604317632549071075430426498968825099755339097127032988651092904070737240135504805952819743630783119549471491923117348852593439371862168412569944608436169552278144765391823766964788775906868294745507488429545931571688295155212442903482279057343927165712215087609415989552506605781726224292886826833812496695905060629495394060332665872766086517786730745841757774857269954352872074518883778548702371708315666096122604618442528108879789006172751660540219182558898864936523704754594993515556863046320310673071218850487818606582787124709270948061408880383082784157643604958793077533646015969663919031985029054106681853909943668465838621665013733759126380482954991909610977868540103415587769127997655125073770731213957547427187384823646081316937818738463999128254235100957545689797986306222692143775836368817321266145294851948750154544032968392125567938270539168599634733179460795623354401954778339926456257473584188920618849737461349833697729847994354299729131541924843306564709771592582186086388870283666561454976111320004824573717996704865736651773016695638247322828477287171984131020649206801802689181014618820160426963709809431947216430347393737650479496519471790164443898267300364602888829554454418998915962933809400266685690526011158394965923463651598516228570242919799964994617795546044352362651681402189633534398173243755519494108405087499643496808561904732444211710722135636301747589288889188128858665072404178157792166073746490356291653047611473558016550269155011104630225910779116586875713070428389069471298521236315238795703487051190938470828939236872704875014187894424481476667990020357582458238470773962610461389552442642566330611764929152457673802123861545869099043834943228059608971486692549233570483373058821976935377230107029831632651034736785932707433927621167795604815251944804287507651500100133617983246003160057318099026030745577421566126772544476187584069743328660835559691853431341449595410764676193980682455091689077488062200386374046468873530639566864155385135202763349432739653796327003265501555004245724535330568016390020868425404295006608012476212562098466625990101349408495244854548267584189359336904934864219957655671197624429352512131216195080691930293482901730752462695077368411341961462578230463979797965686215585924969716748118774262824338666347661943686862807327174851690248185916511976503149191869270804769792973835015367155861003006946581950514463485355370539459579517927749858237274962470389481074216010165355798002310498832725623520724436436026045374390094129736186187451911672494284784101960730484623128525982659390863859083485955048252984134687851659706746924300332011319784231547647787241412379391809442012682539948893049690362839559125770977823496205080278359464751339152685662913999648740501363052243992420724465356426711688644314151883696492034549800581431414180501522776139458871312080085132}
30512 1344435075874741305254746935814236233175917243445206473815074598008231074189504078820408: {91527,579367,792922,1036762,1158658,1310167,1341868,2073388,2498458,2620162,3171272,3202185,3313927,3415664,3567681,3714778,3812125,3842622,4574550,4808098,4879520,4996588,5031345,5050882,5366768,5489460,5851567,5855424,5945745,6032287,6037614,6342128,6506242,6587352,7043421,7134894,7185964,7295311,7410771,7470785,8195311,8385025,8964942,9018824,9893122,9989911,10062030,10146177,10458413,10672550,10732832,11241847,11420407,11581858,11943322,12074436,12312127,12668311,12807060,13660864,14469538,14589658,14940590,14976487,15190018,15246500,15368472,15550042,15684247,16269658,16909185,17289531,17928708,18036464,18295800,18544642,18854911,18903322,19229864,19515520,19731511,20267788,20291022,20582775,21052378,21130327,21343700,21633597,21954960,22350511,22482202,23418624,23909722,24147418,24607207,24699330,25052072,25216258,25334938,25612440,26162407,26345952,26402338,27319936,27823522,28183581,28813995,28937164,29158833,29639196,29950978,30491000,30622447,30734928,31167741,31248538,31474567,33003847,33058865,33173407,33321945,33720322,33768104,33889737,34302375,34458177,34576794,35202511,35481562,35543408,35740137,36589200,37565068,37707298,37724311,37989117,38059327,38408962,38561311,38642722,39028480,39343618,39670638,39942237,39986334,40160602,40229911,40344925,40393882,41162850,41209858,41863468,42222727,43215247,43296449,43907040,44698018,45046042,45372621,45685207,45741658,46060545,46279373,46784002,46803272,46834176,46865164,47226950,48138967,48248744,48413910,48594865,48953287,49095682,49131248,49395420,49603447,49787938,50090311,50414527,50429164,50576527,51223807,51385447,51512745,51641504,51708511,51976282,52206298,52653681,52688448,53929378,53985964,54015025,54279837,54946928,54961498,54996545,55243207,55272654,55406668,55419802,55648858,55813017,56672340,56997487,57535564,58050082,58096692,58313838,59217607,59274504,59533018,59562985,60450496,61266511,61815294,61852070,62364727,62404185,63771617,63965602,64706167,64818030,65172511,65211418,65995854,66003202,66113390,66564464,66683817,66774657,67185847,67282941,68006808,68261122,68424872,68711938,68890409,69139232,70254508,71074522,71159313,71290461,71328511,71467185,71475582,71636002,72113097,72393967,73654018,74183745,74222484,74772898,74816047,74885022,75331738,75418687,75569167,76001818,76113442,76231664,76320487,76507659,76578988,76977981,76990109,77005858,77736297,77740985,77781636,78710665,79129328,79336068,80010202,80454298,81335624,81824311,82006618,82120953,82326945,82784273,83334682,84108322,84329218,84789661,85673164,85760622,85848925,86094082,86314402,86424538,86587214,86644762,86846745,87537437,87815408,88096807,88360100,88488104,88673527,88733698,88817527,89020494,89105311,89557185,89721178,89823511,89916872,91102310,91502577,91582882,92566618,92636528,93003418,93289182,93812167,94447700,94452798,94670841,95527664,95626184,95877345,95925727,96162562,96854593,97574362,97604911,97791322,97829537,98414870,98477384,98579647,98792334,98996311,99091738,99549117,99569164,99904973,...,42091121222555456689969800760109652153135259572575138510437635047747869440391674468007019034761457804638443668681551520702445246329367679052078513085881656226200952063690932256469268412447016093262556000898866288524466953710717392189953214305178254919609055772381856211003036995888960584498525315887160215882243018175504255476091537542731920463531620773491864712710948575712844470883941491923305016082254641604433019684955136796371308792438780482231217624340441703886942179973922415784828106761762315561349880446505513175720754685930657954523165341518439631304513313434311271645978562520450291580272469997658069231171163761743921390813638450162764049678987787108816214633450226095208080602169499898912757271480331691159203687541703077634706129051285956878306793512315442366533300695683848449466530464039616181998129097055016939879911465075012500901021110834933813243364676016562352526007990021950514026441728543536653516152095770523955788648713591108391187273656674377701122264989348475179192616360123671775620556169148255981835658818839604757250956550879428758009928048898319531082874424541660970886327114035725053383450681766949591116536651766955271563580055181352499804167526561186317810769340067656260706245994284060516469829597030341835596928564825880967079594138478212254735271873274592079798749833675838270013410029011593662681259244852178768026785260503190824013729894605647714716782135039985630461008692987490457483927594668616397017305352910428839353557358935047422021811564383872713568168462507870803004390449269550896858163622321366014288768601706706526755383513153633482972959196317674208850374476278106455730517469771814493398821045063988135082438131288924929187104036909180034377745924272770919050825045265044998408236587248907245047606512765629513786785599631599798860846167105217700732534758790854257551813784990847709796145361900265969946218990001795100506208571920214720072560967850961436488049893416709603212923187199182755104317727460345713358230478547011143328143954520756554789394595601173179151542906476448823606613145639748453237649633008645690549482976639356106105860203257208929229615446174679324207237884676023278890159057793252618854916912654254328417217148087735650447183163860302442118261232644318897357532442732818664355223418586015890748568322631414123984328759908672589336439330240250718745043857590944243091090498998809149129776680096118762636662285904931529308111778325667823053557562473499144183906927663792163319683509259127490810328773838348297404785557131892490273335294569480466009606828275731727909874180687063906422092113320574624176236465407438189616300469023954495878547977543581160022780864915502698757932497520600638689570724432487864416466802810155123381653691996482687610656096820936321140781077235469121975406728107695998692381352651436318534696979459334038215663754553225981899217942277923125231816049452588188351907405808752899452099769191193435031602932167509889684386210376283380928274606192024750546594771991531449593697312887264959847064657388873279129583305425499842182464166980007236860576995057298604977659525043457370984242715930757976196530973810202704033771521928230240640445564714147920824645521090606475719244779207685246665847400950546904333244331681628498373944400714100400028535789016737592448885195477397774342855364379699947491926693319066528543977522103284450301597259865633279241162607631249465245212842857098666317566083203454452621383933333782193287997608606267236688249110619735534437479571417210337024825403732516656945338866168674880313569605642583604206947781854472858193555230576786407706243408855309057312521281841636722215001985030536373687357706160943915692084328663963849495917647393728686510703185792318803648565752414842089413457230038823850355725059588232965403065845160544747448976552105178899061150891431751693407222877917206431261477250150200426974869004740085977148539046118366132349190158816714281376104614992991253339537780147012174393116147014290971023682637533616232093300579561069703310295959350296233077702804145024149109480694490504898252332506368586802995852024585031302638106442509912018714318843147699938985152024112742867281822401376284039005357402296329936483506796436644028768196824292621037895440224352596128694042616052617012942193867345695969696948529323378887454575122178161394236507999521492915530294210990762277535372278874767964754723787803906207154689460752523050733791504510419872925771695228033055809189369276891624787355912443705584221611324015248033697003465748249088435281086654654039068061585141194604279281177867508741427176152941095726934692788973989086295788625228932572379476202031777489560120386450498016979676347321471680862118569087714163019023809923339574535544259338688656466735244307620417539197127008729028494370999473110752044578365988631086698034640067532966471227825544738051824700872147121270752284164209188306968120127698}
30513 1348577725182061286520814969130763064429552214152107726982647195976614555386162805894827: {122036,1189383,1555143,1677335,1737987,2012802,2591735,2774863,2988706,3110082,3689411,3747687,3930243,3964090,4269580,4695922,4756908,5123496,5549362,5572167,5763933,6099400,6245735,6708460,6861825,7212147,7319280,7494882,7576323,7807232,7891471,7927660,8050152,8234190,8783136,8982455,9056421,9391228,9513192,9759363,9881028,10702341,10778946,11273530,11953256,12279007,13416040,13447413,13528236,14839683,15020231,15093045,15781906,16008825,16099248,16117043,16826131,17076080,17372787,17751767,17914983,18111654,19058125,19210590,20491296,20779858,21704307,21884487,21920563,22410885,22545580,22785027,22869750,22973626,23052708,23325063,23766611,23904944,24037330,24328751,24394400,24404487,24556402,25334735,26629906,26679625,26893062,27054696,27443700,27816963,28354983,28713407,28844796,28875223,29273280,29547091,30401682,30436533,31100482,31224832,31315090,31578567,32015550,32932440,33723303,34149920,35127936,35864583,36171455,36221127,37048995,37578108,37773527,37824387,38002407,38113750,38338183,38418660,38733571,38878444,39518928,39603507,40952863,40979904,41294867,41556988,41735283,42210130,42217651,42989842,43064047,43405746,44429260,44458794,44926467,45186316,45736500,45944236,46102392,46772447,46872807,46956335,47653516,48078562,48785600,48865762,49753666,50580483,50652156,51154511,51865191,52329335,52894184,53010802,53222343,53256316,53315112,54883800,55277591,56168242,56259523,56347602,56560947,57613443,57964083,58243906,58504090,58522978,58542720,58581455,59015427,59475187,59505957,59705987,59871763,59979501,60240903,60310930,60496828,60590823,61414060,61744275,61814787,62445568,62795202,63036455,64551880,64880002,65860560,66702706,67047027,67482455,67569063,68612487,68683660,69238162,69258335,69312706,70176003,70204908,70251264,70297746,70539058,70593647,70840425,71168671,71340607,71919455,72373116,72620865,72877618,73275571,73643523,73696872,74093130,74417356,74456947,74681907,75563120,75643746,76040263,76838482,76868951,77427091,77462256,77579447,77751784,77964423,78309447,78677263,79032672,80894067,80978946,81056962,82118503,82420392,82442247,82908981,83110002,83129703,83205580,83473287,83586706,83672911,84547762,85008510,85378162,85531090,86122426,86167711,86303346,86424040,87075123,87145038,87470757,87591043,87818135,87994472,88911756,89032876,89179943,89299527,89485522,89710588,90116767,90675744,92722941,92778105,94801447,94879084,95053948,95289580,95300776,95723735,95948403,96150796,96831442,97227045,97817127,98744002,98911660,98963312,98993781,99004803,99170085,99846696,99983122,...,63136681833833185034954701140164478229702889358862707765656452571621804160587511702010528552142186706957665503022327281053667869494051518578117769628822484339301428095536398384703902618670524139893834001348299432786700430566076088284929821457767382379413583658572784316504555493833440876747787973830740323823364527263256383214137306314097880695297431160237797069066422863569266706325912237884957524123381962406649529527432705194556963188658170723346826436510662555830413269960883623677242160142643473342024820669758269763581132028895986931784748012277659446956769970151466907468967843780675437370408704996487103846756745642615882086220457675244146074518481680663224321950175339142812120903254249848369135907220497536738805531312554616452059193576928935317460190268473163549799951043525772674199795696059424272997193645582525409819867197612518751351531666252400719865047014024843528789011985032925771039662592815304980274228143655785933682973070386662586780910485011566551683397484022712768788924540185507663430834253722383972753488228259407135876434826319143137014892073347479296624311636812491456329490671053587580075176022650424386674804977650432907345370082772028749706251289841779476716154010101484391059368991426090774704744395545512753395392847238821450619391207717318382102907809911888119698124750513757405020115043517390494021888867278268152040177890754786236020594841908471572075173202559978445691513039481235686225891392002924595525958029365643259030336038402571133032717346575809070352252693761806204506585673904326345287245433482049021433152902560059790133075269730450224459438794476511313275561714417159683595776204657721740098231567595982202623657196933387393780656055363770051566618886409156378576237567897567497612354880873360867571409769148444270680178399447399698291269250657826551098802138186281386327720677486271564694218042850398954919328485002692650759312857880322080108841451776442154732074840125064404819384780798774132656476591190518570037345717820516714992215931781134832184091893401759768727314359714673235409919718459622679856474449512968535824224464959034159158790304885813393844423169262018986310856827014034918335238586689878928282375368981381492625825722131603475670774745790453663177391848966478346036298664099227996532835127879023836122852483947121185976493139863008884004658995360376078117565786386416364636635748498213723694665020144178143954993428857397293962167667488501734580336343710248716275860391495688244979525263888691236215493160757522446107178335697838735410002941854220699014410242413597591864811271030595859633138169980861936264354698111157284424450703535931743817821966315371740034171297373254048136898746280900958034356086648731796624700204215232685072480537994724031415984145231404481711171615853203682963110092161543998038572028977154477802045469189001057323495631829838972848826913416884687847724074178882282527861108713129349178149653786790152547404398251264834526579315564425071392411909288037125819892157987297174390545969330897439770596986083309918694374958138249763273696250470010855290865492585947907466489287565186056476364073896136964294796460715304056050657282892345360960668347071221881236968281635909713578867168811527869998771101425820356499866497522442747560916601071150600042803683525106388673327793216096661514283046569549921237890039978599792815966283154926675452395889798449918861743911446874197867819264285647999476349124805181678932075900000673289931996412909400855032373665929603301656219357125815505537238105598774985418008299253012320470354408463875406310421672781709287290332845865179611559365113282963585968781922762455083322502977545804560531036559241415873538126492995945774243876471090593029766054778688478205472848628622263134120185845058235775533587589382349448104598767740817121173464828157768348591726337147627540110834316875809646892215875225300640462303507110128965722808569177549198523785238225071422064156922489486880009306670220518261589674220521436456535523956300424348139950869341604554965443939025444349616554206217536223664221041735757347378498759552880204493778036877546953957159663764868028071478264721549908477728036169114300922733602064426058508036103444494904725260194654966043152295236438931556843160336528894193041063924078925519413290801018543954545422793985068331181862683267242091354761999282239373295441316486143416303058418312151947132085681705859310732034191128784576100687256765629809388657542842049583713784053915337437181033868665558376332416986022872050545505198622373632652921629981981058602092377711791906418921766801263112140764229411643590402039183460983629443682937843398858569214303047666234340180579675747025469514520982207521293177853631571244528535714885009361803316389008032984700102866461430626308795690513093542741556499209666128066867548982946630047051960101299449706841738317107077737051308220681906128426246313782460452180191547}
30514 1352733065550156044670827384003125822057271654881247827200880296896160969387242694071987: {152545,183054,518449,701293,1158734,1431949,1585844,2073524,2317316,2525773,2620334,2683736,3019203,4146776,4483059,4665123,4996916,5067949,5240324,5248993,5336975,5791693,5946135,6342544,6404370,6627854,6831328,7043883,7135362,7429556,7624250,7685244,8324043,8385575,9149100,9393133,9572449,9616196,9759040,9909575,9993176,10062690,10101764,10459099,10646833,10733536,10978920,11242323,11703134,11710848,11739035,11891490,12064574,12075228,12075313,12351285,12684256,13012484,13174704,13321453,14031949,14086842,14269788,14371928,14590622,14821542,14941570,15095533,16168419,16390622,16770050,16910295,17567149,17743153,17929884,18037648,19148593,19323949,19786244,19979822,20124060,20199649,20292354,20916826,21345100,21465664,22483694,22642033,22840814,22989793,23163716,23672859,23684449,23886644,24148872,24624254,25336622,25614120,26106673,27167481,27321728,27828193,27999949,28181975,28815885,28857649,28939076,29028973,29179316,29881180,29884513,29952974,30380036,30396973,30493000,30736944,31100084,31169787,31249633,31368494,32100493,32440333,32539316,33796813,33818370,34304625,34460439,34579062,34642273,34811149,35654449,35857416,36055995,36072928,36591600,36834603,37089284,37503373,37709822,37806644,38173549,38459728,39031040,39463022,39677233,39843949,39944859,40339593,40535576,40582044,41165550,42104756,42170413,42260654,42687400,42997873,43163149,43267194,43328353,43909920,44701022,44964404,44976433,45602523,46282411,46617313,46650723,46837248,46972635,47819444,48023325,48294836,48598055,48902449,49214414,49398660,49552753,50104144,50432516,50669876,51224880,51946235,51981133,52324814,52691904,52804676,53591053,54553549,54639872,55536575,55647044,56311393,56367162,56482895,56948449,57170625,57430295,57627990,57874328,58317666,59169073,59278392,59566895,59901956,59958733,60982000,61244894,61469856,62335482,62473549,62497076,62949134,63255649,63315195,64484763,65108619,65746273,66007694,66117730,66211213,66346814,66570395,66643890,66688191,67440644,67536208,67779474,67910449,68032811,68604750,68916354,69153588,70405022,70824973,70963124,71086816,71480274,72117843,73107553,73178400,73298643,74167213,74630499,74771149,75130136,75373933,75414596,75448622,75621035,75978234,76118654,76125793,76767575,76817924,76995163,77025649,77122622,77285444,78056960,78687236,79115233,79341276,79516203,79884474,79972668,80006449,80154733,80321204,80459822,80689850,80787764,81633613,82325700,82419716,83388179,83726936,84252363,84445454,84521403,84569773,84795227,85854575,86430494,86592898,87365859,87756135,87784467,87814080,89396036,90092084,90355693,90466395,90745242,91370414,91483316,91499053,92121090,92353549,92558746,93021695,93568004,93606544,93668352,93730328,94192803,94453900,95183149,95323873,96277934,96497488,96727153,96827820,96860951,97189730,97320003,97426093,97835959,97906574,98191364,98262496,98790840,99206894,99234913,99575876,...,84182242445110913379939601520219304306270519145150277020875270095495738880783348936014038069522915609276887337363103041404890492658735358104157026171763312452401904127381864512938536824894032186525112001797732577048933907421434784379906428610356509839218111544763712422006073991777921168997050631774320431764486036351008510952183075085463840927063241546983729425421897151425688941767882983846610032164509283208866039369910273592742617584877560964462435248680883407773884359947844831569656213523524631122699760893011026351441509371861315909046330683036879262609026626868622543291957125040900583160544939995316138462342327523487842781627276900325528099357975574217632429266900452190416161204338999797825514542960663382318407375083406155269412258102571913756613587024630884733066601391367696898933060928079232363996258194110033879759822930150025001802042221669867626486729352033124705052015980043901028052883457087073307032304191541047911577297427182216782374547313348755402244529978696950358385232720247343551241112338296511963671317637679209514501913101758857516019856097796639062165748849083321941772654228071450106766901363533899182233073303533910543127160110362704999608335053122372635621538680135312521412491988568121032939659194060683671193857129651761934159188276956424509470543746549184159597499667351676540026820058023187325362518489704357536053570521006381648027459789211295429433564270079971260922017385974980914967855189337232794034610705820857678707114717870094844043623128767745427136336925015741606008780898539101793716327244642732028577537203413413053510767026307266965945918392635348417700748952556212911461034939543628986797642090127976270164876262577849858374208073818360068755491848545541838101650090530089996816473174497814490095213025531259027573571199263199597721692334210435401465069517581708515103627569981695419592290723800531939892437980003590201012417143840429440145121935701922872976099786833419206425846374398365510208635454920691426716460957094022286656287909041513109578789191202346358303085812952897647213226291279496906475299266017291381098965953278712212211720406514417858459230892349358648414475769352046557780318115586505237709833825308508656834434296175471300894366327720604884236522465288637794715064885465637328710446837172031781497136645262828247968657519817345178672878660480501437490087715181888486182180997997618298259553360192237525273324571809863058616223556651335646107115124946998288367813855327584326639367018518254981620657547676696594809571114263784980546670589138960932019213656551463455819748361374127812844184226641149248352472930814876379232600938047908991757095955087162320045561729831005397515864995041201277379141448864975728832933605620310246763307383992965375221312193641872642281562154470938243950813456215391997384762705302872637069393958918668076431327509106451963798435884555846250463632098905176376703814811617505798904199538382386870063205864335019779368772420752566761856549212384049501093189543983062899187394625774529919694129314777746558259166610850999684364928333960014473721153990114597209955319050086914741968485431861515952393061947620405408067543043856460481280891129428295841649291042181212951438489558415370493331694801901093808666488663363256996747888801428200800057071578033475184897770390954795548685710728759399894983853386638133057087955044206568900603194519731266558482325215262498930490425685714197332635132166406908905242767866667564386575995217212534473376498221239471068874959142834420674049650807465033313890677732337349760627139211285167208413895563708945716387110461153572815412486817710618114625042563683273444430003970061072747374715412321887831384168657327927698991835294787457373021406371584637607297131504829684178826914460077647700711450119176465930806131690321089494897953104210357798122301782863503386814445755834412862522954500300400853949738009480171954297078092236732264698380317633428562752209229985982506679075560294024348786232294028581942047365275067232464186601159122139406620591918700592466155405608290048298218961388981009796504665012737173605991704049170062605276212885019824037428637686295399877970304048225485734563644802752568078010714804592659872967013592873288057536393648585242075790880448705192257388085232105234025884387734691391939393897058646757774909150244356322788473015999042985831060588421981524555070744557749535929509447575607812414309378921505046101467583009020839745851543390456066111618378738553783249574711824887411168443222648030496067394006931496498176870562173309308078136123170282389208558562355735017482854352305882191453869385577947978172591577250457865144758952404063554979120240772900996033959352694642943361724237138175428326038047619846679149071088518677377312933470488615240835078394254017458056988741998946221504089156731977262173396069280135065932942455651089476103649401744294242541504568328418376613936240255396}
30515 1356901135633260233932607200834229073096191398354194716036369592090654789676842733988518: {244072,274581,1738101,1982305,2348269,2378766,2591905,2896645,3110286,3354670,3475974,3628429,3689653,3930501,4025604,4360213,5183470,5549726,5977412,6220164,6246145,6550405,7378822,7495374,7860486,7928180,8539160,8744029,9286945,9391844,9513816,9606555,9941781,10246992,10703043,11098724,11144334,11436375,11527866,12020245,12198800,12400069,12491470,12575437,12627205,13416920,13723650,14424294,14638560,14989764,15021217,15094035,15152646,15614464,15782942,15855320,16056109,16100304,16118101,16265605,16468380,16787317,17554701,17566272,17837235,17964910,18096861,18112842,18782456,19026384,19518726,19762056,20979361,21130263,21404682,21557892,21885933,22232313,22412355,22547060,23906512,24436093,24558014,24585933,24732805,25155075,26681375,26832080,26894826,27056472,27190957,28087813,28954645,29679366,29858305,29969733,30040462,30114061,30186090,30438531,31375239,31563812,32017650,32198496,32234086,32671777,33652262,33725541,33777733,34152160,34261221,34660909,34745574,35468629,35503534,35829966,36173845,36223308,36474145,36725389,36936381,37351475,37776013,37975045,38004933,38116250,38421180,38875105,40674145,40982592,41559716,42694693,43408614,43768974,43841126,44641441,44821770,44929461,45091160,45570054,45739500,45763069,45947252,46105416,46361605,46650126,47052741,47258305,47533222,47809888,48074660,48657502,48788800,48808974,49112804,49998133,50640037,50669470,50727555,51868593,52060597,52409269,52630945,52919509,53259812,53359250,53649853,53786124,54109392,54401413,54887400,55281229,55633926,56205505,56310817,56564733,56709966,57426814,57689592,57750446,58546560,58632829,59094182,59194533,59774305,60368545,60373093,60803364,60873066,61748325,61780837,62200964,62234941,62449664,62630180,63040645,63157134,63337345,63390981,63687613,64031100,64900791,65675269,65738869,65864880,66005845,67051533,67446606,67627309,68299840,69558805,70255872,70310053,70561621,70598293,71729166,71991541,72342910,72442254,73180021,73261069,73821621,74097990,74877445,75156216,75547054,75648774,76004814,76227500,76676366,76837320,77467142,77584573,77756888,77900749,78121345,78487221,79037856,79207014,80980129,81905726,81959808,82014037,82589734,83113976,83470566,83528533,84300805,84420260,84435302,84550743,85484257,85912357,85979684,86128094,86441985,86811492,87476499,87487213,88251037,88503133,88703905,88858520,88917588,89852934,90372632,91473000,91684801,91867341,91888472,92204784,92260717,93419293,93503223,93544894,93745614,93912670,94268245,94423701,94475437,95070181,95307032,96022405,96157124,96606805,96961669,97370053,97571200,97731524,98359045,98406829,99011541,99176595,99507332,99520221,99671701,99965835,...,126273363667666370069909402280328956459405778717725415531312905143243608321175023404021057104284373413915331006044654562107335738988103037156235539257644968678602856191072796769407805237341048279787668002696598865573400861132152176569859642915534764758827167317145568633009110987666881753495575947661480647646729054526512766428274612628195761390594862320475594138132845727138533412651824475769915048246763924813299059054865410389113926377316341446693652873021325111660826539921767247354484320285286946684049641339516539527162264057791973863569496024555318893913539940302933814937935687561350874740817409992974207693513491285231764172440915350488292149036963361326448643900350678285624241806508499696738271814440995073477611062625109232904118387153857870634920380536946327099599902087051545348399591392118848545994387291165050819639734395225037502703063332504801439730094028049687057578023970065851542079325185630609960548456287311571867365946140773325173561820970023133103366794968045425537577849080371015326861668507444767945506976456518814271752869652638286274029784146694958593248623273624982912658981342107175160150352045300848773349609955300865814690740165544057499412502579683558953432308020202968782118737982852181549409488791091025506790785694477642901238782415434636764205815619823776239396249501027514810040230087034780988043777734556536304080355781509572472041189683816943144150346405119956891383026078962471372451782784005849191051916058731286518060672076805142266065434693151618140704505387523612409013171347808652690574490866964098042866305805120119580266150539460900448918877588953022626551123428834319367191552409315443480196463135191964405247314393866774787561312110727540103133237772818312757152475135795134995224709761746721735142819538296888541360356798894799396582538501315653102197604276372562772655441354972543129388436085700797909838656970005385301518625715760644160217682903552884309464149680250128809638769561597548265312953182381037140074691435641033429984431863562269664368183786803519537454628719429346470819839436919245359712948899025937071648448929918068318317580609771626787688846338524037972621713654028069836670477173379757856564750737962762985251651444263206951341549491580907326354783697932956692072597328198455993065670255758047672245704967894242371952986279726017768009317990720752156235131572772832729273271496996427447389330040288356287909986857714794587924335334977003469160672687420497432551720782991376489959050527777382472430986321515044892214356671395677470820005883708441398028820484827195183729622542061191719266276339961723872528709396222314568848901407071863487635643932630743480068342594746508096273797492561801916068712173297463593249400408430465370144961075989448062831968290462808963422343231706407365926220184323087996077144057954308955604090938378002114646991263659677945697653826833769375695448148357764565055722217426258698356299307573580305094808796502529669053158631128850142784823818576074251639784315974594348781091938661794879541193972166619837388749916276499526547392500940021710581730985171895814932978575130372112952728147792273928589592921430608112101314565784690721921336694142443762473936563271819427157734337623055739997542202851640712999732995044885495121833202142301200085607367050212777346655586432193323028566093139099842475780079957199585631932566309853350904791779596899837723487822893748395735638528571295998952698249610363357864151800001346579863992825818801710064747331859206603312438714251631011074476211197549970836016598506024640940708816927750812620843345563418574580665691730359223118730226565927171937563845524910166645005955091609121062073118482831747076252985991891548487752942181186059532109557376956410945697257244526268240371690116471551067175178764698896209197535481634242346929656315536697183452674295255080221668633751619293784431750450601280924607014220257931445617138355098397047570476450142844128313844978973760018613340441036523179348441042872913071047912600848696279901738683209109930887878050888699233108412435072447328442083471514694756997519105760408987556073755093907914319327529736056142956529443099816955456072338228601845467204128852117016072206888989809450520389309932086304590472877863113686320673057788386082127848157851038826581602037087909090845587970136662363725366534484182709523998564478746590882632972286832606116836624303894264171363411718621464068382257569152201374513531259618777315085684099167427568107830674874362067737331116752664833972045744101091010397244747265305843259963962117204184755423583812837843533602526224281528458823287180804078366921967258887365875686797717138428606095332468680361159351494050939029041964415042586355707263142489057071429770018723606632778016065969400205732922861252617591381026187085483112998419332256133735097965893260094103920202598899413683476634214155474102616441363812256852492627564920904360383094}
30516 1361081974202659120168878172080298623545285093469106412106210618736957490502383878322371: {213563,305090,366108,579443,701339,1036898,1402586,1432043,2040083,2317468,2708003,2863898,3171688,3435539,3568149,3859403,4147048,4524683,4634632,4665429,5032005,5051546,5213961,5240668,5367472,5852339,5972843,6038406,6755339,7471765,7775205,7776563,7956539,8293552,8324589,8855339,8966118,9330246,9453539,9910225,9993832,10135898,10468643,10480648,10497986,10673950,11068233,11243061,11421923,11540939,11583386,11739805,11790729,11892270,11957243,12610643,12685088,12808740,13255708,13662656,13736963,13873405,14087766,14270724,14624123,14859112,15096539,15248500,15370488,16434649,16648086,16687163,16716501,16771150,17039843,17291799,17920283,18298200,18737205,18786266,19144898,19208339,19232392,19500539,19518080,19819150,19986352,20125380,20203528,20375939,20585475,20918198,21293666,21467072,21636441,21656603,21957840,22484646,22527563,22728969,23406268,23421696,23478070,23674413,23782980,24129148,24150456,24150626,24702570,25302539,25368512,26024968,26165939,26280923,26349408,26642906,26947365,27169263,27486323,28001843,28063898,28173684,28183825,28539576,28743856,29181244,29278089,29643084,29883140,30191066,30455939,31308539,31989323,32107023,32159339,32336838,32781244,32838683,33177923,33540100,33820590,33855539,35134298,35486306,35544539,35859768,35993723,36075296,36837021,38176163,38297186,38647898,39454765,39572488,39959644,40248120,40342239,40399298,40584708,41833652,41841803,42228539,42690200,42931328,43055939,43221203,43331339,43496483,44519049,44967388,45060693,45279135,45284066,45363083,45681628,45800939,45979586,46327432,46456763,47274923,47345718,47368898,47773288,47819363,48026475,48297744,48351129,48960083,49231163,49248508,49610339,50478393,50673244,51228240,51338723,51949645,52118361,52213346,52951643,53255301,53487683,53648339,53744949,54076403,54334962,54643456,54717539,55656386,55999898,56363950,56474723,57005483,57111539,57174375,57434065,57482483,57631770,57715298,57878152,58057946,58064603,58358632,58434539,58856843,59225939,59331323,59762360,59769026,59905948,60015539,60093325,60435923,60760072,60793946,60986000,61391005,61473888,62200168,62339574,62477963,62499266,62736988,63260123,63312203,64200986,64559723,64819043,64880666,65078632,65112921,65653461,65750939,65761689,66574765,67232655,67298339,67593626,67636740,67915283,68037277,68355081,68609250,68684843,68920878,68992163,69158124,69284546,69622298,69975189,71287883,71299833,71308898,71714832,72111990,72145856,72724729,72986253,73183200,73213461,73415939,73669206,74178568,74826803,74927339,75006746,75078083,75278963,75419644,75429539,75613288,76004205,76331483,76347098,76431539,76781483,76919456,77031203,77751205,78062080,78077843,78287725,78674339,78926044,79076053,79354466,79687898,79889718,80038875,80402413,80679186,81071152,81164088,82331100,83393653,83450889,83453723,84186083,84209512,84340826,84478523,84521308,84722003,85064949,85208363,85374800,85451243,85995746,86140221,86326298,86534388,86625669,86656706,87097523,87819840,87820883,88641273,88782563,89402044,89928808,89952866,90266843,91205046,91309599,91553339,91933403,92360363,92502539,92564822,93198553,93234626,93301446,93354083,93542963,93674496,93945270,94532483,94735701,95237123,95284375,95638888,95893163,96046650,96589672,97196110,97200539,97433339,97758923,97804898,98428828,98687003,98797320,99105506,99980939,...,189410045501499555104864103420493434689108668076588123296969357714865412481762535106031585656426560120872996509066981843161003608482154555734353308886467453017904284286609195154111707856011572419681502004044898298360101291698228264854789464373302147138240750975718352949513666481500322630243363921492220971470093581789769149642411918942293642085892293480713391207199268590707800118977736713654872572370145887219948588582298115583670889565974512170040479309531987667491239809882650871031726480427930420026074462009274809290743396086687960795354244036832978340870309910454400722406903531342026312111226114989461311540270236927847646258661373025732438223555445041989672965850526017428436362709762749545107407721661492610216416593937663849356177580730786805952380570805419490649399853130577318022599387088178272818991580936747576229459601592837556254054594998757202159595141042074530586367035955098777313118987778445914940822684430967357801048919211159987760342731455034699655050192452068138306366773620556522990292502761167151918260464684778221407629304478957429411044676220042437889872934910437474368988472013160762740225528067951273160024414932951298722036110248316086249118753869525338430148462030304453173178106974278272324114233186636538260186178541716464351858173623151955146308723429735664359094374251541272215060345130552171482065666601834804456120533672264358708061784525725414716225519607679935337074539118443707058677674176008773786577874088096929777091008115207713399098152039727427211056758081285418613519757021712979035861736300446147064299458707680179370399225809191350673378316383429533939826685143251479050787328613973165220294694702787946607870971590800162181341968166091310154699856659227469135728712703692702492837064642620082602714229307445332812040535198342199094873807751973479653296406414558844158983162032458814694082654128551196864757985455008077952277938573640966240326524355329326464196224520375193214458154342396322397969429773571555710112037153461550144976647795343404496552275680205279306181943079144019706229759155378868039569423348538905607472673394877102477476370914657440181533269507786056958932570481042104755005715760069636784847126106944144477877477166394810427012324237371360989532175546899435038108895992297683989598505383637071508368557451841363557929479419589026652013976986081128234352697359159249093909907245494641171083995060432534431864980286572191881886503002465505203741009031130746148827581174487064734938575791666073708646479482272567338321535007093516206230008825562662097043230727240792775594433813091787578899414509942585808793064094333471853273352110607795231453465898946115220102513892119762144410696238842702874103068259946195389874100612645698055217441613984172094247952435694213445133514847559611048889330276484631994115716086931463433406136407567003171970486895489516918546480740250654063543172222536646847583583326139388047534448961360370457642213194753794503579737946693275214177235727864111377459676473961891523171637907992692319311790958249929756083124874414749289821088751410032565872596477757843722399467862695558169429092221688410892884389382145912168151971848677036082882005041213665643710904844907729140736601506434583609996313304277461069499599492567328242682749803213451800128411050575319166019983379648289984542849139708649763713670119935799378447898849464780026357187669395349756585231734340622593603457792856943998429047374415545036796227700002019869795989238728202565097120997788809904968658071377446516611714316796324956254024897759036961411063225391626218931265018345127861870998537595538834678095339848890757906345768287365249967508932637413681593109677724247620614379478987837322731629413271779089298164336065434616418545885866789402360557535174707326600762768147048344313796303222451363520394484473305045775179011442882620332502950627428940676647625675901921386910521330386897168425707532647595571355714675214266192470767468460640027920010661554784769022661564309369606571868901273044419852608024813664896331817076333048849662618652608670992663125207272042135496278658640613481334110632640861871478991294604084214434794164649725433184108507342902768200806193278175524108310333484714175780583964898129456885709316794670529481009586682579123191772236776558239872403055631863636268381955204993545588049801726274064285997846718119886323949458430248909175254936455841396257045117577932196102573386353728302061770296889428165972628526148751141352161746012311543101605996675128997250958068616151636515595867120897958764889945943175806277133135375719256765300403789336422292688234930771206117550382950888331048813530196575707642909142998703020541739027241076408543562946622563879533560894713733585607144655028085409949167024098954100308599384291878926387071539280628224669497628998384200602646948839890141155880303898349120525214951321233211153924662045718385278738941347381356540574641}
30517 1365275620147040972741393402812351277409745828227171498514457107845251058959652131338406: {30517,457635,488144,549162,1555347,2103879,2775227,2896835,3476202,3628667,3964610,4055303,4295847,4360499,4696538,4757532,5152979,5183810,5793290,6220572,6550835,6709340,6951948,7256858,7379306,7577319,7861002,8051208,8720426,8744603,9057609,9170567,10366940,11099452,11954824,12400883,12440328,12492290,13001723,13100810,13449177,13995369,14654627,14757644,14990748,15203847,15720972,15746979,15856360,16010925,16057163,16569635,16788419,16828343,17078320,17375079,17488058,17678087,17838405,17945063,18573890,18783688,19027632,19060625,19213110,19883562,20493984,21131649,21406086,22197448,22288668,22771847,22872750,23055732,24040490,24397600,24800138,24972129,24982940,25150874,25156725,25254410,26441063,26833840,27447300,28179399,28717347,28848588,28879019,29257835,29277120,29728725,29979528,30042434,30161435,30188070,30305292,31228928,31377297,31565884,31710640,31940499,32112218,32200608,32236202,32531210,32936760,33574634,33726969,34446599,34625927,34925003,35109402,35132544,35217105,35674470,35929820,36193722,36225684,36225939,36476555,37053855,37353925,37564912,37759907,38052768,38738663,39037452,39524112,39919139,39964359,40536503,40976555,41046023,41801627,41925125,41958722,42095847,42260526,42809364,43115784,43771866,44464626,44644379,44824710,45094120,45286599,46431143,46888007,47813024,48505257,48872186,49116028,49171866,49465610,49949555,50134547,50310150,50643383,50730885,51063803,52292065,52701447,53165063,53229459,53362750,53664160,53789652,53825363,54083627,54112944,54381914,54425147,55650983,56175626,56209235,56266919,56314523,56943803,57102035,57445779,57909290,57971847,59358732,59667347,59716610,59939466,60080924,60228122,60372180,60598947,60877062,61492967,61560635,61784903,61938227,62750478,62935619,63127624,63341555,64035300,64292579,64354499,64396992,64468172,64906247,65343554,66161627,66342023,67304524,67451082,67555466,67926099,68304320,68522442,68969379,69321818,69491148,70937258,71007068,71018577,71053347,71350019,71659932,71996279,72347690,72446616,72948290,73450778,73683323,73872762,74702950,74882435,75267179,75552026,75583463,75950090,76009866,76232500,76842360,77616227,77750210,78226919,78320019,78421235,78687707,81348290,81502443,81965184,83093699,83119432,83484579,83684027,83999847,84515963,84545925,85389386,85489883,86447655,86572947,86817228,87065543,87086919,87537948,87682252,88256903,88672283,88702007,89282882,89643540,89653539,89858922,90182320,90507203,90996179,91140108,91190919,91379723,91479000,91526138,91690859,91894504,92210832,92408183,92723210,92820359,93291563,93300252,93509361,93748899,94084199,94105482,94274555,94516610,95066444,95619776,95739047,96149320,96301479,97315004,97320999,97382327,97577600,97617948,98225608,98292899,98657555,98715539,99437267,99996266,...,252546727335332740139818804560657912918811557435450831062625810286487216642350046808042114208568746827830662012089309124214671477976206074312471078515289937357205712382145593538815610474682096559575336005393197731146801722264304353139719285831069529517654334634291137266018221975333763506991151895322961295293458109053025532856549225256391522781189724640951188276265691454277066825303648951539830096493527849626598118109730820778227852754632682893387305746042650223321653079843534494708968640570573893368099282679033079054324528115583947727138992049110637787827079880605867629875871375122701749481634819985948415387026982570463528344881830700976584298073926722652897287800701356571248483613016999393476543628881990146955222125250218465808236774307715741269840761073892654199199804174103090696799182784237697091988774582330101639279468790450075005406126665009602879460188056099374115156047940131703084158650371261219921096912574623143734731892281546650347123641940046266206733589936090851075155698160742030653723337014889535891013952913037628543505739305276572548059568293389917186497246547249965825317962684214350320300704090601697546699219910601731629381480331088114998825005159367117906864616040405937564237475965704363098818977582182051013581571388955285802477564830869273528411631239647552478792499002055029620080460174069561976087555469113072608160711563019144944082379367633886288300692810239913782766052157924942744903565568011698382103832117462573036121344153610284532130869386303236281409010775047224818026342695617305381148981733928196085732611610240239160532301078921800897837755177906045253102246857668638734383104818630886960392926270383928810494628787733549575122624221455080206266475545636625514304950271590269990449419523493443470285639076593777082720713597789598793165077002631306204395208552745125545310882709945086258776872171401595819677313940010770603037251431521288320435365807105768618928299360500257619277539123195096530625906364762074280149382871282066859968863727124539328736367573607039074909257438858692941639678873838490719425897798051874143296897859836136636635161219543253575377692677048075945243427308056139673340954346759515713129501475925525970503302888526413902683098983161814652709567395865913384145194656396911986131340511516095344491409935788484743905972559452035536018635981441504312470263145545665458546542993992854894778660080576712575819973715429589175848670669954006938321345374840994865103441565982752979918101055554764944861972643030089784428713342791354941640011767416882796057640969654390367459245084122383438532552679923447745057418792444629137697802814143726975271287865261486960136685189493016192547594985123603832137424346594927186498800816860930740289922151978896125663936580925617926844686463412814731852440368646175992154288115908617911208181876756004229293982527319355891395307653667538751390896296715529130111444434852517396712598615147160610189617593005059338106317262257700285569647637152148503279568631949188697562183877323589759082387944333239674777499832552999053094785001880043421163461970343791629865957150260744225905456295584547857179185842861216224202629131569381443842673388284887524947873126543638854315468675246111479995084405703281425999465990089770990243666404284602400171214734100425554693311172864386646057132186278199684951560159914399171263865132619706701809583559193799675446975645787496791471277057142591997905396499220726715728303600002693159727985651637603420129494663718413206624877428503262022148952422395099941672033197012049281881417633855501625241686691126837149161331383460718446237460453131854343875127691049820333290011910183218242124146236965663494152505971983783096975505884362372119064219114753912821891394514489052536480743380232943102134350357529397792418395070963268484693859312631073394366905348590510160443337267503238587568863500901202561849214028440515862891234276710196794095140952900285688256627689957947520037226680882073046358696882085745826142095825201697392559803477366418219861775756101777398466216824870144894656884166943029389513995038211520817975112147510187815828638655059472112285913058886199633910912144676457203690934408257704234032144413777979618901040778619864172609180945755726227372641346115576772164255696315702077653163204074175818181691175940273324727450733068968365419047997128957493181765265944573665212233673248607788528342726823437242928136764515138304402749027062519237554630171368198334855136215661349748724135474662233505329667944091488202182020794489494530611686519927924234408369510847167625675687067205052448563056917646574361608156733843934517774731751373595434276857212190664937360722318702988101878058083928830085172711414526284978114142859540037447213265556032131938800411465845722505235182762052374170966225996838664512267470195931786520188207840405197798827366953268428310948205232882727624513704985255129841808720766188}
30518 1369482112472850511130639978397000956894400797206357143369774386831928918001034268836100: {427126,610180,732216,823743,1158886,1402678,2073796,2805172,2864086,3859657,4080166,4585417,4634936,5214303,5416006,5727796,5946915,6033481,6343376,6394777,6871078,7044807,7136298,7718806,7775715,8294096,8376757,8386675,8689935,9049366,9269264,9274777,9330858,9991897,10064010,10103092,10170997,10427922,10460471,10481336,10528981,10734944,10885287,11068959,11422681,11704678,11791503,11945686,12076812,12314581,12670837,12958675,13080639,13510678,13874315,14943530,15550410,15553126,15913078,16435727,16587104,16649178,17099737,17710678,17932236,17980117,18447055,18660492,18738435,18907078,19422767,19651215,19820450,19987664,20271796,20937286,20961296,20995972,21347900,22136466,22486122,22529077,22843846,23081878,23166772,23479610,23581458,23784540,23914486,25221286,25370176,25617480,25995157,26232087,26511416,26857177,27201481,27325312,27473926,27717397,27746810,27860835,28175532,28541448,28819665,29248246,29261257,29718224,29825343,30193078,30497000,30740976,31228675,32109129,32840917,32869298,33180181,33296172,33374326,33433002,33542300,34079686,34309125,34365337,34583598,35840566,36052297,36060735,36556981,36596400,37200207,37474410,37572532,37726311,37881615,37899637,38289796,38416678,38464784,38736457,39001078,39036160,39457355,39638300,39972704,40238197,40250760,40407056,40751878,41170950,41836396,42397081,42587332,42934144,43272882,43313206,43915680,44912275,44969292,45055126,45063651,45282105,45457938,46186837,46514581,46812536,46843392,46956140,47348826,47565960,48168327,48258296,48300912,48301252,48354303,48796815,49405140,50262937,50361951,50587081,50605078,50737024,51396181,52049936,52331878,52525897,52561846,52664103,52698816,53285812,53330677,53511705,53894730,54290583,54338526,54972646,55236671,56003686,56127796,56347368,56367650,57079152,57487712,58362488,58556178,59286168,59388181,59766280,60382132,60492697,60911878,61395035,62617078,62847637,62938083,63316681,63390789,63978646,64214046,64318678,64673676,65562488,65657799,65677366,66355846,66696939,67080200,67237065,67641180,67711078,68433397,69201817,70268596,70580437,70972612,71089078,71343817,71496277,71719536,71987446,72150592,72729503,73016917,73308279,73674042,73757799,74198415,74379337,75101155,75465225,75585481,76352326,76594372,76787017,77295796,78909530,79144976,79770697,79919288,80044125,80407691,80496240,80585215,80684478,80798596,81169416,81572871,83459797,83667304,83683606,84045877,84130655,84263439,84457078,85214581,85380400,85506037,85862656,85947407,86111878,86442406,86662678,86863935,86958997,86992966,88758835,88837081,89038098,89574915,89909199,89934776,89986777,90121386,90342183,90558270,90568132,90726166,91315593,91363256,91601878,91959172,91987657,92654864,92913526,93204671,93549877,94125717,94549846,94691436,94737796,95290625,95546576,95638726,95947081,96052950,96227737,96595488,96702258,97766197,97920166,98015331,98462326,98497016,99157237,99220678,...,378820091002999110209728206840986869378217336153176246593938715429730824963525070212063171312853120241745993018133963686322007216964309111468706617772934906035808568573218390308223415712023144839363004008089796596720202583396456529709578928746604294276481501951436705899027332963000645260486727842984441942940187163579538299284823837884587284171784586961426782414398537181415600237955473427309745144740291774439897177164596231167341779131949024340080958619063975334982479619765301742063452960855860840052148924018549618581486792173375921590708488073665956681740619820908801444813807062684052624222452229978922623080540473855695292517322746051464876447110890083979345931701052034856872725419525499090214815443322985220432833187875327698712355161461573611904761141610838981298799706261154636045198774176356545637983161873495152458919203185675112508109189997514404319190282084149061172734071910197554626237975556891829881645368861934715602097838422319975520685462910069399310100384904136276612733547241113045980585005522334303836520929369556442815258608957914858822089352440084875779745869820874948737976944026321525480451056135902546320048829865902597444072220496632172498237507739050676860296924060608906346356213948556544648228466373273076520372357083432928703716347246303910292617446859471328718188748503082544430120690261104342964131333203669608912241067344528717416123569051450829432451039215359870674149078236887414117355348352017547573155748176193859554182016230415426798196304079454854422113516162570837227039514043425958071723472600892294128598917415360358740798451618382701346756632766859067879653370286502958101574657227946330440589389405575893215741943181600324362683936332182620309399713318454938271457425407385404985674129285240165205428458614890665624081070396684398189747615503946959306592812829117688317966324064917629388165308257102393729515970910016155904555877147281932480653048710658652928392449040750386428916308684792644795938859547143111420224074306923100289953295590686808993104551360410558612363886158288039412459518310757736079138846697077811214945346789754204954952741829314880363066539015572113917865140962084209510011431520139273569694252213888288955754954332789620854024648474742721979064351093798870076217791984595367979197010767274143016737114903682727115858958839178053304027953972162256468705394718318498187819814490989282342167990120865068863729960573144383763773006004931010407482018062261492297655162348974129469877151583332147417292958964545134676643070014187032412460017651125324194086461454481585551188867626183575157798829019885171617586128188666943706546704221215590462906931797892230440205027784239524288821392477685405748206136519892390779748201225291396110434883227968344188495904871388426890267029695119222097778660552969263988231432173862926866812272815134006343940973790979033837092961480501308127086344445073293695167166652278776095068897922720740915284426389507589007159475893386550428354471455728222754919352947923783046343275815985384638623581916499859512166249748829498579642177502820065131745192955515687444798935725391116338858184443376821785768778764291824336303943697354072165764010082427331287421809689815458281473203012869167219992626608554922138999198985134656485365499606426903600256822101150638332039966759296579969085698279417299527427340239871598756895797698929560052714375338790699513170463468681245187206915585713887996858094748831090073592455400004039739591978477456405130194241995577619809937316142754893033223428633592649912508049795518073922822126450783252437862530036690255723741997075191077669356190679697781515812691536574730499935017865274827363186219355448495241228758957975674645463258826543558178596328672130869232837091771733578804721115070349414653201525536294096688627592606444902727040788968946610091550358022885765240665005901254857881353295251351803842773821042660773794336851415065295191142711429350428532384941534936921280055840021323109569538045323128618739213143737802546088839705216049627329792663634152666097699325237305217341985326250414544084270992557317281226962668221265281723742957982589208168428869588329299450866368217014685805536401612386556351048216620666969428351561167929796258913771418633589341058962019173365158246383544473553116479744806111263727272536763910409987091176099603452548128571995693436239772647898916860497818350509872911682792514090235155864392205146772707456604123540593778856331945257052297502282704323492024623086203211993350257994501916137232303273031191734241795917529779891886351612554266270751438513530600807578672844585376469861542412235100765901776662097627060393151415285818285997406041083478054482152817087125893245127759067121789427467171214289310056170819898334048197908200617198768583757852774143078561256449338995257996768401205293897679780282311760607796698241050429902642466422307849324091436770557477882694762713081149282}
30519 1373701490304643409449819718170565898183625730250212015897388681965552126470374729304401: {61034,640689,762725,915270,976288,1098324,1738329,2104017,2592245,3110694,3506465,3690137,4055569,4207758,4296129,5153317,5550454,5701817,5793670,6120249,6952404,7159745,7257334,7929220,8110606,8124009,8591694,8720998,9171169,9393076,9515064,10305958,10306617,10367620,10704447,11578209,11586580,12441144,12628865,13101670,13418680,13574049,13740617,13903896,13996287,14513716,14655589,14758612,15096015,15154638,15641883,15722004,16102416,17440852,17489206,17557017,17918529,17946241,18115218,18341134,19761401,20266017,20321489,20733880,22198904,22415295,23197489,23325615,23329689,23869617,23909648,24801766,24880656,24973767,24984580,25339745,26003446,26201620,26244965,26566017,26684875,26898354,27434549,27990738,28360617,28958465,29309254,29515288,29730675,29981496,30407694,31248529,31405929,31441944,31493958,31712720,32021850,32114326,32915369,33139270,33204699,33576838,33656686,33729183,34156640,34265769,34622817,34750158,34976116,35219415,35356174,35372187,35676810,35871729,35890126,36203861,36730217,37147780,37567376,37831929,38055264,38121250,38426220,39767124,40709617,40960969,40987968,41210889,41620215,41927875,42202249,42226009,42263298,42812172,43872369,44394896,44577336,45289617,45543694,45745500,46111464,46965665,47862245,48080980,48795200,49303947,49547875,49600276,49944258,49965880,50061489,50149503,50301748,50313450,50508820,51067177,51119529,51875397,52067441,52295495,52882126,53234165,53667680,53760849,54873169,54894600,55736417,56032729,56211615,56358798,57367177,57434694,57537457,57625017,57697176,57758038,58377269,58501617,58515670,58554240,58640537,58695175,59457450,59959056,60084868,60322870,60376140,60376565,60610584,61127817,61756425,62457856,62754594,62939761,63131768,63421280,63880998,64224436,64401216,64472404,64909323,64969809,65062420,65873520,66607265,67149268,67453938,67582689,68186907,68893198,69251854,69850006,69929377,70159745,70218804,70265088,70434210,71023239,71348940,71859640,72387444,72451368,72451878,72953110,73208891,74107710,74707850,74787329,75129824,75477665,75519814,75907617,76055317,76105536,77477326,78074904,78404209,78497817,78692929,78842769,79048224,79577201,79838278,79928718,79942849,80842095,81073006,81507789,81953110,82092046,82458969,83603254,83850250,83917444,84005529,84191694,84521052,84551475,85618728,86184889,86231568,87543732,87834267,87835745,88678177,88715765,88867969,88929252,89009381,89288758,89649420,90188240,90573198,91367817,91385737,92272889,92862286,93776014,93925617,95435017,95626048,95742965,95967969,96321069,96478017,96619745,97010514,97744372,98232056,98343732,98516049,98931220,99533769,99899110,...,568230136504498665314592310261480304067326004229764369890908073144596237445287605318094756969279680362618989527200945529483010825446463667203059926659402359053712852859827585462335123568034717259044506012134694895080303875094684794564368393119906441414722252927155058848540999444500967890730091764476662914410280745369307448927235756826880926257676880442140173621597805772123400356933210140964617717110437661659845765746894346751012668697923536510121437928595963002473719429647952613095179441283791260078223386027824427872230188260063882386062732110498935022610929731363202167220710594026078936333678344968383934620810710783542938775984119077197314670666335125969018897551578052285309088129288248635322223164984477830649249781812991548068532742192360417857141712416258471948199559391731954067798161264534818456974742810242728688378804778512668762163784996271606478785423126223591759101107865296331939356963335337744822468053292902073403146757633479963281028194365104098965150577356204414919100320861669568970877508283501455754781394054334664222887913436872288233134028660127313669618804731312423106965416039482288220676584203853819480073244798853896166108330744948258747356261608576015290445386090913359519534320922834816972342699559909614780558535625149393055574520869455865438926170289206993077283122754623816645181035391656514446196999805504413368361601016793076124185353577176244148676558823039806011223617355331121176033022528026321359733622264290789331273024345623140197294456119182281633170274243856255840559271065138937107585208901338441192898376123040538111197677427574052020134949150288601819480055429754437152361985841919495660884084108363839823612914772400486544025904498273930464099569977682407407186138111078107478511193927860247808142687922335998436121605595026597284621423255920438959889219243676532476949486097376444082247962385653590594273956365024233856833815720922898720979573065987979392588673561125579643374463027188967193908289320714667130336111460384650434929943386030213489656827040615837918545829237432059118689277466136604118708270045616716822418020184631307432429112743972320544599808523358170876797711443126314265017147280208910354541378320832433433632431499184431281036972712114082968596526640698305114326687976893051968795516150911214525105672355524090673788438258767079956041930958243384703058092077477747281729721736483923513251985181297603295594940859716575645659509007396515611223027093392238446482743523461194204815727374998221125939438446817702014964605021280548618690026476687986291129692181722378326783301439275362736698243529827757426379192283000415559820056331823385694360397696838345660307541676359286433232088716528108622309204779838586169622301837937094165652324841952516282743857307082640335400544542678833146667990829453895982347148260794390300218409222701009515911460686468550755639442220751962190629516667609940542750749978418164142603346884081111372926639584261383510739213840079825642531707183592334132379029421885674569514913723978076957935372874749789268249374623244247869463266254230097697617789433273531167198403588086674508287276665065232678653168146437736504455915546031108248646015123640996931132714534723187422209804519303750829988939912832383208498798477701984728048249409640355400385233151725957498059950138944869953628547419125949291141010359807398135343696548394340079071563008186049269755695203021867780810373378570831995287142123246635110388683100006059609387967716184607695291362993366429714905974214132339549835142950388974868762074693277110884233189676174878656793795055035383585612995612786616504034286019546672273719037304862095749902526797912241044779329033172742861843138436963511968194888239815337267894493008196303849255637657600368207081672605524121979802288304441145032941388909667354090561183453419915137325537034328647860997508851882286822029942877027705764160731563991160691505277122597942786714067144025642798577412302405381920083760031984664354307067984692928108819715606703819133259557824074440994688995451228999146548987855957826012977989375621816126406488835975921840444002331897922585614436973883812252643304382493949176299552325522028708304602418579834526572324931000454142527341751894694388370657127950384011588443028760047737369575316710329674719617209166895590908805145865614980636764149405178822192857993540154359658971848375290746727525764809367524188771135352733796588307720159061184906185310890668284497917885578446253424056485238036934629304817990025386991752874205848454909546787601362693876294669837829527418831399406127157770295901211368009266878064704792313618352651148852664993146440590589727122928727428996109061625217081723229225630688839867691638600682684141200756821433965084256229847501072296862300925798152875636779161214617841884674008492886995152601807940846519670423467640911695047361575644853963699633461773986137155155836216824042144069621723923}
30520 1377933792885441862001091949748738901068911301154994451476302436194923434237900043338053: {91551,335599,701431,854252,884239,1220360,1372905,1464432,1614751,1647486,2161879,2317772,2708359,2805356,3980959,4147592,4666041,5250031,5431039,5610344,5728172,5973631,6311637,6876511,7597519,7719314,8160332,8325681,8690505,9170834,9269872,9574351,9911525,10428606,10827799,10832012,10886001,11455592,11542471,11741345,11893830,12066962,12077719,12165909,12686752,12789554,12887541,12959525,12968359,13081497,13501879,13742156,13857199,14089614,14272596,14483225,14744239,15275599,15437612,15458937,15551430,16588192,16753514,16773350,17379870,17746711,17922679,18098732,18142145,18448265,18538528,18549554,18661716,19152439,19327831,19424041,19503151,19652505,19983794,20128020,20206184,20341994,20378671,20855844,20903119,20920942,20962672,21057962,21469888,21770574,21801065,22137918,22646599,22731957,22845362,23409356,23583006,23689231,23891372,24153624,24629162,25341674,25421191,25825877,25917350,26161278,26233809,26284471,27021356,27172827,27511701,27748630,28005631,28177351,29034871,29887060,30061519,31100820,31106252,31230725,31826156,32107039,32277031,32616799,32752025,32871454,33174208,33298356,34199474,34649359,34818271,34987111,35421356,35661751,35830231,35864472,35960234,36894110,37202649,37320984,37343311,37476870,37678759,37814156,38516119,38845534,39005169,39302430,39640900,39852151,39975328,40018831,40347531,40543592,41874572,41922592,41986107,41991944,42695800,43172071,43337311,43502479,43720145,43832599,43963881,44272932,44972244,45058154,45150199,45478879,45611541,45687692,46163756,46333544,46434725,46790719,46959220,47162916,47240937,47569080,47828972,48032775,48171489,49708905,50365257,50442572,50485029,50740352,51234960,51990314,52125237,52314631,52464174,53022832,53034261,53515215,53602279,53714354,53762911,53835189,54083959,54402962,54404719,54650624,54725191,54947852,55240297,55434794,55493620,55684879,55721670,56323231,56351064,56482639,57082896,57119551,57181875,57639330,57755311,58496492,58522514,59181559,59339671,59436448,59650686,59971399,60101225,60386156,60994000,61481952,62000345,62457350,62643391,62877185,63136025,63269071,63394947,63425311,64218258,65139199,65681834,65738596,65915359,66360362,66380191,66592344,66748652,66866004,67084600,67770799,68079031,68159372,68315541,68618250,68730674,69167196,71681132,72059839,72104594,72121470,73113962,73192800,74400414,74916387,74938111,74948820,75106085,75145064,75390199,75452622,75470175,75763230,75799274,75841639,76142239,76442551,76579592,76833356,76929568,77042311,77472914,78002156,78072320,78089119,78914710,79276600,79323189,79945408,80172151,80280545,80320399,80476394,80501520,80590505,80814112,81060559,81328025,81503756,81798919,82341900,82829599,83563639,83672792,83936585,84538197,84588271,84734359,84794162,85174664,85868288,85953049,86152041,86545764,86626412,86637057,87206839,87773505,87831360,87930079,89186175,89824550,89938584,90110252,90127302,90375631,90484305,90518839,90564210,90915876,92373674,92516191,93029162,93625072,93651199,93686784,93912280,94131891,94697652,95131920,95204311,95345071,95485759,95821497,96336654,96516592,96601824,96602504,96708606,96748711,97308151,97593630,98284399,98562679,98810280,99672919,...,757640182005998220419456413681973738756434672306352493187877430859461649927050140424126342625706240483491986036267927372644014433928618222937413235545869812071617137146436780616446831424046289678726008016179593193440405166792913059419157857493208588552963003902873411798054665926001290520973455685968883885880374327159076598569647675769174568343569173922853564828797074362831200475910946854619490289480583548879794354329192462334683558263898048680161917238127950669964959239530603484126905921711721680104297848037099237162973584346751843181416976147331913363481239641817602889627614125368105248444904459957845246161080947711390585034645492102929752894221780167958691863402104069713745450839050998180429630886645970440865666375750655397424710322923147223809522283221677962597599412522309272090397548352713091275966323746990304917838406371350225016218379995028808638380564168298122345468143820395109252475951113783659763290737723869431204195676844639951041370925820138798620200769808272553225467094482226091961170011044668607673041858739112885630517217915829717644178704880169751559491739641749897475953888052643050960902112271805092640097659731805194888144440993264344996475015478101353720593848121217812692712427897113089296456932746546153040744714166865857407432694492607820585234893718942657436377497006165088860241380522208685928262666407339217824482134689057434832247138102901658864902078430719741348298156473774828234710696704035095146311496352387719108364032460830853596392608158909708844227032325141674454079028086851916143446945201784588257197834830720717481596903236765402693513265533718135759306740573005916203149314455892660881178778811151786431483886363200648725367872664365240618799426636909876542914850814770809971348258570480330410856917229781331248162140793368796379495231007893918613185625658235376635932648129835258776330616514204787459031941820032311809111754294563864961306097421317305856784898081500772857832617369585289591877719094286222840448148613846200579906591181373617986209102720821117224727772316576078824919036621515472158277693394155622429890693579508409909905483658629760726133078031144227835730281924168419020022863040278547139388504427776577911509908665579241708049296949485443958128702187597740152435583969190735958394021534548286033474229807365454231717917678356106608055907944324512937410789436636996375639628981978564684335980241730137727459921146288767527546012009862020814964036124522984595310324697948258939754303166664294834585917929090269353286140028374064824920035302250648388172922908963171102377735252367150315597658039770343235172256377333887413093408442431180925813863595784460880410055568479048577642784955370811496412273039784781559496402450582792220869766455936688376991809742776853780534059390238444195557321105938527976462864347725853733624545630268012687881947581958067674185922961002616254172688890146587390334333304557552190137795845441481830568852779015178014318951786773100856708942911456445509838705895847566092686551631970769277247163832999719024332499497658997159284355005640130263490385911031374889597871450782232677716368886753643571537557528583648672607887394708144331528020164854662574843619379630916562946406025738334439985253217109844277998397970269312970730999212853807200513644202301276664079933518593159938171396558834599054854680479743197513791595397859120105428750677581399026340926937362490374413831171427775993716189497662180147184910800008079479183956954912810260388483991155239619874632285509786066446857267185299825016099591036147845644252901566504875725060073380511447483994150382155338712381359395563031625383073149460999870035730549654726372438710896990482457517915951349290926517653087116357192657344261738465674183543467157609442230140698829306403051072588193377255185212889805454081577937893220183100716045771530481330011802509715762706590502703607685547642085321547588673702830130590382285422858700857064769883069873842560111680042646219139076090646257237478426287475605092177679410432099254659585327268305332195398650474610434683970652500829088168541985114634562453925336442530563447485915965178416336857739176658598901732736434029371611072803224773112702096433241333938856703122335859592517827542837267178682117924038346730316492767088947106232959489612222527454545073527820819974182352199206905096257143991386872479545295797833720995636701019745823365585028180470311728784410293545414913208247081187557712663890514104595004565408646984049246172406423986700515989003832274464606546062383468483591835059559783772703225108532541502877027061201615157345689170752939723084824470201531803553324195254120786302830571636571994812082166956108964305634174251786490255518134243578854934342428578620112341639796668096395816401234397537167515705548286157122512898677990515993536802410587795359560564623521215593396482100859805284932844615698648182873541114955765389525426162298564}
30521 1382179059577091213031377286498153045115133930813654699306400194514605287570781038795538: {122068,1067815,1281378,1525450,1830540,1952576,2196648,2471229,2897215,3476658,3506695,3629143,4208034,4361071,4909051,5184490,5702191,6221388,6372619,6738511,7012930,7160215,7380274,8111138,8415516,8592258,10023643,10200415,10306634,11100908,11403634,11578971,11587340,12240498,13540015,13741519,13756251,13904808,14319490,14410891,14514668,15642909,15858440,16221212,16238911,16248018,17177695,17183388,17441996,17680411,17840745,18100443,18342338,18786152,19030128,19163743,19184331,19297015,20322823,20431279,20611916,20613234,20735240,21134421,21408894,21722971,22623415,23156418,23173160,23327145,23354383,24882288,25130271,25160025,25257730,26069805,26203340,26444539,26837360,27148098,27481234,27779851,27807792,27824331,27992574,29027432,29261695,29311178,29517224,29864215,29975691,30192030,30309276,30512991,30662143,31283766,31381413,31444008,31586943,32204832,32655861,33206877,33776695,34268043,34881704,34978412,35114034,35374509,35475643,35784331,35837058,35892482,36230436,36682268,36742951,36943743,37358825,37764871,37969903,38012511,38700679,38876025,38882815,39241917,39522802,39782695,40532034,40541851,40642978,41051419,41467760,41622945,44276695,44397808,44830590,46394978,46651230,46659378,46894171,47267695,47739234,47819296,49307181,49551125,49603532,49687291,49761312,49947534,49969160,50679490,51299211,52006892,52201951,52343215,52403240,52489930,53132034,53369750,53796708,53832439,53940351,54412171,54869098,55341165,55658299,55981476,56215305,56721234,57109615,57704695,57916930,58268301,58381111,58618508,58699025,58953645,59030576,59461350,59675191,59786215,59962992,60815388,61501051,62497058,62811858,62883888,62987916,63053215,63425440,63700219,64043700,64228652,65245183,65688271,65751931,65830738,65870311,66117871,66278540,66409398,67007143,67153676,67213243,67313372,67458366,67587231,68313280,68531538,68684815,69245634,69367025,69500316,69952232,70438830,70712348,70724743,70744374,71353620,71743458,71780252,72407722,73120615,73213693,73460434,74295560,74527831,74792251,75134752,75482695,75663858,76110528,76185223,76242500,76852440,77985471,78470143,78696261,79534248,79582459,80243119,80571531,80996143,81419234,81604443,81921938,81975936,82173245,82421778,83152191,83240430,83435815,83545099,83582505,83855750,84074911,84404498,84452018,84526596,84527191,85199215,85525231,85624344,86458995,87744738,87783771,88789792,89015239,89154672,89476029,89483119,89601415,90579234,90771943,91087388,91491000,91495771,92222928,93250171,93303871,93686025,93931330,94045783,95147959,95724490,96041695,96161960,96327387,97502695,97590400,98223643,98426311,98522751,98607894,99095750,99200552,99540543,99888516,99931760,...,1136460273008997330629184620522960608134652008459528739781816146289192474890575210636189513938559360725237979054401891058966021650892927334406119853318804718107425705719655170924670247136069434518089012024269389790160607750189369589128736786239812882829444505854310117697081998889001935781460183528953325828820561490738614897854471513653761852515353760884280347243195611544246800713866420281929235434220875323319691531493788693502025337395847073020242875857191926004947438859295905226190358882567582520156446772055648855744460376520127764772125464220997870045221859462726404334441421188052157872667356689936767869241621421567085877551968238154394629341332670251938037795103156104570618176258576497270644446329968955661298499563625983096137065484384720835714283424832516943896399118783463908135596322529069636913949485620485457376757609557025337524327569992543212957570846252447183518202215730592663878713926670675489644936106585804146806293515266959926562056388730208197930301154712408829838200641723339137941755016567002911509562788108669328445775826873744576466268057320254627339237609462624846213930832078964576441353168407707638960146489597707792332216661489896517494712523217152030580890772181826719039068641845669633944685399119819229561117071250298786111149041738911730877852340578413986154566245509247633290362070783313028892393999611008826736723202033586152248370707154352488297353117646079612022447234710662242352066045056052642719467244528581578662546048691246280394588912238364563266340548487712511681118542130277874215170417802676882385796752246081076222395354855148104040269898300577203638960110859508874304723971683838991321768168216727679647225829544800973088051808996547860928199139955364814814372276222156214957022387855720495616285375844671996872243211190053194569242846511840877919778438487353064953898972194752888164495924771307181188547912730048467713667631441845797441959146131975958785177347122251159286748926054377934387816578641429334260672222920769300869859886772060426979313654081231675837091658474864118237378554932273208237416540091233433644836040369262614864858225487944641089199617046716341753595422886252628530034294560417820709082756641664866867264862998368862562073945424228165937193053281396610228653375953786103937591032301822429050211344711048181347576876517534159912083861916486769406116184154955494563459443472967847026503970362595206591189881719433151291319018014793031222446054186784476892965487046922388409631454749996442251878876893635404029929210042561097237380052953375972582259384363444756653566602878550725473396487059655514852758384566000831119640112663646771388720795393676691320615083352718572866464177433056217244618409559677172339244603675874188331304649683905032565487714614165280670801089085357666293335981658907791964694296521588780600436818445402019031822921372937101511278884441503924381259033335219881085501499956836328285206693768162222745853279168522767021478427680159651285063414367184668264758058843771349139029827447956153915870745749499578536498749246488495738926532508460195395235578866547062334396807176173349016574553330130465357306336292875473008911831092062216497292030247281993862265429069446374844419609038607501659977879825664766416997596955403969456096498819280710800770466303451914996119900277889739907257094838251898582282020719614796270687393096788680158143126016372098539511390406043735561620746757141663990574284246493270220777366200012119218775935432369215390582725986732859429811948428264679099670285900777949737524149386554221768466379352349757313587590110070767171225991225573233008068572039093344547438074609724191499805053595824482089558658066345485723686276873927023936389776479630674535788986016392607698511275315200736414163345211048243959604576608882290065882777819334708181122366906839830274651074068657295721995017703764573644059885754055411528321463127982321383010554245195885573428134288051285597154824604810763840167520063969328708614135969385856217639431213407638266519115648148881989377990902457998293097975711915652025955978751243632252812977671951843680888004663795845171228873947767624505286608764987898352599104651044057416609204837159669053144649862000908285054683503789388776741314255900768023176886057520095474739150633420659349439234418333791181817610291731229961273528298810357644385715987080308719317943696750581493455051529618735048377542270705467593176615440318122369812370621781336568995835771156892506848112970476073869258609635980050773983505748411696909819093575202725387752589339675659054837662798812254315540591802422736018533756129409584627236705302297705329986292881181179454245857454857992218123250434163446458451261377679735383277201365368282401513642867930168512459695002144593724601851596305751273558322429235683769348016985773990305203615881693039340846935281823390094723151289707927399266923547972274310311672433648084288139243447846}
30522 1386437329860617653854361870561619827391460151774881457179825555548441153766107721387207: {152585,183102,396617,671198,884297,945221,1402862,1614857,1708504,1768478,1922067,2222777,2288175,2440720,2745810,2928864,3229502,3294972,3981221,4323758,4635544,5214987,5416718,5491721,5610712,6034277,6312051,6937097,7598021,7776735,7958117,7961918,8138057,8295184,8497721,9332082,9395621,10500062,10519395,10649657,10862078,11070411,11220688,11456344,11543237,11721737,11947262,12166707,12316217,12613157,12623274,12888387,12969221,13028537,13753022,13876135,13917317,14484175,15195038,15276617,15438628,15459951,16320664,16437883,16651362,16866917,17105451,17381010,17982521,18143335,18341668,18360747,18539744,19148702,19153721,19212197,19679717,19823050,20276515,20857212,21428357,21479235,21655598,21664024,21772002,21802495,21835337,22648121,22880057,22911184,23084942,23482690,23787660,24133924,24155438,24331818,24372027,24904037,25307657,25373504,25399003,25480517,25579108,25764895,25775082,25827571,25919050,25936718,26113721,26162994,26975621,27003758,27484312,27513507,27714398,27835721,28179228,28179257,28545192,28966450,29265221,29488478,30120521,30521491,30551198,30632837,30875224,30917177,30917874,30919851,31102860,31485257,32113341,32165897,32754175,33015077,33176384,33507028,33546700,34734627,34759740,35493422,35845358,36197464,36284290,36896530,37077056,37099108,37323432,37401797,37737221,37886595,38016521,38304878,38574521,38655662,38848082,39006302,39305010,39967588,40256040,40412368,40683988,40722147,40743077,40757342,41221851,41711688,41806238,41841884,41925344,41988861,42115924,42402917,42939776,43230137,43505477,43541148,43602130,43723015,43966767,44275836,44714597,45288045,45293198,45463914,45690724,45852835,46302521,46630217,46818712,46848521,46925649,47166012,47378462,47782744,47992517,48307248,49241417,49258324,49891337,50683348,50842382,51651754,51834700,51995621,52322556,52467618,52568942,52671051,53338121,53659577,53755587,53820197,53838723,54042712,54345654,54408521,55023402,55209221,55497260,55688777,55742021,56011262,56327177,56354702,57812297,58069742,59238437,59284203,59396537,59774120,59975621,60028217,60123038,60448697,60798051,60964467,61208203,62004415,62201640,62212504,62386757,62461450,62647817,63325637,63429797,63652312,64214078,64554062,64729097,65008615,65195621,65233598,65504050,65742908,65920037,65971721,66348416,66596712,66746021,67245885,67467077,67775621,68083877,68398948,68545721,69298718,69592467,69636542,69974222,69976845,69989067,70131557,70590521,70842712,71048837,71323502,71608851,71660462,71728944,71920468,72064997,73128521,73273135,73788220,74390021,74405298,74641968,74686622,74921301,74953740,75094277,75357518,75445817,75596357,75628312,75847097,75897221,76019235,76347977,77032238,77347337,77691068,78010338,78442937,78604860,78734895,79281800,79698051,79704302,79950656,80037662,80054625,80285815,80695062,81066437,81087184,81854021,82303647,82848175,83569721,83749144,83845184,83942095,83972214,83983888,84141715,85081851,85391600,86344142,86674622,86800483,86875395,87004958,87440290,87665198,87927762,88028059,88390435,88545864,88658021,89192025,89725315,89944488,90116308,90300398,90573221,90859397,90957758,91223082,91375384,92327512,92523017,92667088,92869450,93374777,93581438,93658121,93705317,93745587,93918440,94217787,94325832,94365221,94481874,94835621,95138160,95258297,95303125,95539721,95657944,96065550,96242021,96342978,97641221,97920197,98291717,98616377,98746107,99264521,99417810,99449417,99614097,...,1704690409513495995943776930784440912201978012689293109672724219433788712335862815954284270907839041087856968581602836588449032476339391001609179779978207077161138558579482756387005370704104151777133518036404084685240911625284054383693105179359719324244166758781465176545622998333502903672190275293429988743230842236107922346781707270480642778773030641326420520864793417316370201070799630422893853151331312984979537297240683040253038006093770609530364313785787889007421158288943857839285538323851373780234670158083473283616690564780191647158188196331496805067832789194089606501662131782078236809001035034905151803862432132350628816327952357231591944011999005377907056692654734156855927264387864745905966669494953433491947749345438974644205598226577081253571425137248775415844598678175195862203394483793604455370924228430728186065136414335538006286491354988814819436356269378670775277303323595888995818070890006013234467404159878706220209440272900439889843084583095312296895451732068613244757300962585008706912632524850504367264344182163003992668663740310616864699402085980381941008856414193937269320896248118446864662029752611561458440219734396561688498324992234844776242068784825728045871336158272740078558602962768504450917028098679728844341675606875448179166723562608367596316778510867620979231849368263871449935543106174969543338590999416513240105084803050379228372556060731528732446029676469119418033670852065993363528099067584078964079200866792872367993819073036869420591883368357546844899510822731568767521677813195416811322755626704015323578695128369121614333593032282722156060404847450865805458440166289263311457085957525758486982652252325091519470838744317201459632077713494821791392298709933047222221558414333234322435533581783580743424428063767007995308364816785079791853864269767761316879667657731029597430848458292129332246743887156960771782821869095072701570501447162768696162938719197963938177766020683376738930123389081566901581724867962144001391008334381153951304789830158090640468970481121847513755637487712296177356067832398409812356124810136850150467254060553893922297287338231916961633799425570074512630393134329378942795051441840626731063624134962497300300897294497553293843110918136342248905789579922094915342980063930679155906386548452733643575317017066572272021365314776301239868125792874730154109174276232433241845189165209451770539755955543892809886784822579149726936978527022189546833669081280176715339448230570383582614447182124994663377818315340453106044893815063841645856070079430063958873389076545167134980349904317826088210094730589483272279137576849001246679460168995470157083081193090515036980922625029077859299696266149584325866927614339515758508866905513811282496956974525857548848231571921247921006201633628036499440003972488361687947041444782383170900655227668103028547734382059405652266918326662255886571888550002829821628252249935254492427810040652243334118779918752784150532217641520239476927595121550777002397137088265657023708544741171934230873806118624249367804748123869732743608389798762690293092853368299820593501595210764260023524861829995195698035959504439313209513367746638093324745938045370922990793398143604169562266629413557911252489966819738497149625496395433105954184144748228921066201155699455177872494179850416834609860885642257377847873423031079422194406031089645183020237214689024558147809267085609065603342431120135712495985861426369739905331166049300018178828163903148553823085874088980099289144717922642397018649505428851166924606286224079831332652699569028524635970381385165106150756838986838359849512102858058640016821157111914586287249707580393736723134337987099518228585529415310890535904584664719446011803683479024588911547766912972801104621245017816572365939406864913323435098824166729002062271683550360259745411976611102985943582992526555646860466089828631083117292482194691973482074515831367793828360142201432076928395732236907216145760251280095953993062921203954078784326459146820111457399778673472223322984066986353686997439646963567873478038933968126865448379219466507927765521332006995693767756843310921651436757929913147481847528898656976566086124913807255739503579716974793001362427582025255684083165111971383851152034765329086280143212108725950130989024158851627500686772726415437596844941910292448215536466578573980620463078976915545125872240182577294428102572566313406058201389764923160477183554718555932672004853493753656735338760272169455714110803887914453970076160975258622617545364728640362804088081628884009513488582256494198218381473310887703634104027800634194114376940855057953446557994979439321771769181368786182286988327184875651245169687676892066519603074915802048052423602270464301895252768689542503216890586902777394458626910337483643853525654022025478660985457805423822539559011270402922735085142084726934561891098900385321958411465467508650472126432208865171769}
30523 1390708643336586990514709495773419043225271845804760730574004209329523348522274654659008: {244136,274653,1006797,1494941,2104293,2135630,2562756,2652717,3050900,3661080,3905152,4056101,4118715,4393296,4844253,4909373,4942458,5153993,5794430,6373037,6485637,6738953,6953316,7013390,7258286,7531277,8125077,8416068,8722142,9818102,10024301,10368980,11404382,11942877,12442776,12745238,13477022,13998123,14025860,14280581,14320430,14411837,14760548,15750093,16222276,16239977,16293117,16831032,17031053,17184516,17920893,18934911,18956021,19165001,19298285,20047286,20400830,20613268,20629533,21418301,21724397,22201816,22792557,22807268,22927085,23157942,23174680,24048773,24146057,24480996,24977043,26071515,27015821,27080030,27483038,27512502,27809616,28638980,28723053,28821782,29029336,29734575,30167405,31252637,31285818,31672781,31716880,31973885,32442424,32477822,32483397,32496036,32658003,32830733,34355390,34366776,34627413,34883992,35224035,35360822,35681490,36200886,36233157,36453197,36497727,36684676,37572304,38060256,38327486,38368662,38594030,38662623,38878575,38905077,39244491,40505637,40588517,40645646,40862558,40863461,40966373,41223832,41226468,41470480,41571597,41684681,41809901,41883785,41933375,42207797,42268842,42290573,42817788,43445942,43449675,44232717,45246830,45826797,46312836,46346320,46373885,46376811,46654290,46708766,47287373,49764576,49959485,50260542,50320050,50515460,50854985,51086933,52139610,52302355,52406680,52644905,52889078,53235653,53240133,53674720,53768037,54296196,54426435,54435941,54962468,55344795,55559702,55615584,55648662,55695773,55985148,57113405,57457317,57545021,57983493,58054864,58272123,58343357,58509453,58523390,58622356,58957515,59034448,59119661,59728430,59951382,60384060,60618552,61025982,61136013,61324286,61572905,61987373,62567532,62709357,62762826,62888016,63173886,63354185,64305293,64367237,64409664,64793375,65249477,65311722,65403195,66174773,66355157,66413754,66422141,67553390,67829093,67939797,68195871,68536086,69343133,69371575,69763408,69956824,70228068,70749018,70951286,71067693,71568662,71674116,71757221,71784964,72460872,73280501,73364536,73485902,73887486,74717650,75282077,75529742,75939806,76025022,76190237,76263573,77401358,77477631,77631593,77752050,77765630,78483834,78701427,78853413,79045301,79045604,79565390,79953461,80248421,80786573,81064068,81083702,81285956,81518481,82102838,82178635,82535103,82935520,83245890,83700701,83881877,84016893,84532053,85498685,87104613,88274501,88553390,88795616,89661180,89900585,90148421,90184557,90525101,90777917,92235275,92789956,93302460,93318756,93367613,93692175,93788342,93966077,94051997,94535390,94832777,95154221,95478468,95638592,96158741,96321117,96831093,97032077,97113835,97850397,98256075,98475317,98614362,98735117,99102250,99207064,99374582,99456953,99522624,99895068,99938320,...,2272920546017994661258369241045921216269304016919057479563632292578384949781150421272379027877118721450475958108803782117932043301785854668812239706637609436214851411439310341849340494272138869036178024048538779580321215500378739178257473572479625765658889011708620235394163997778003871562920367057906651657641122981477229795708943027307523705030707521768560694486391223088493601427732840563858470868441750646639383062987577387004050674791694146040485751714383852009894877718591810452380717765135165040312893544111297711488920753040255529544250928441995740090443718925452808668882842376104315745334713379873535738483242843134171755103936476308789258682665340503876075590206312209141236352517152994541288892659937911322596999127251966192274130968769441671428566849665033887792798237566927816271192645058139273827898971240970914753515219114050675048655139985086425915141692504894367036404431461185327757427853341350979289872213171608293612587030533919853124112777460416395860602309424817659676401283446678275883510033134005823019125576217338656891551653747489152932536114640509254678475218925249692427861664157929152882706336815415277920292979195415584664433322979793034989425046434304061161781544363653438078137283691339267889370798239638459122234142500597572222298083477823461755704681156827972309132491018495266580724141566626057784787999222017653473446404067172304496741414308704976594706235292159224044894469421324484704132090112105285438934489057163157325092097382492560789177824476729126532681096975425023362237084260555748430340835605353764771593504492162152444790709710296208080539796601154407277920221719017748609447943367677982643536336433455359294451659089601946176103617993095721856398279910729629628744552444312429914044775711440991232570751689343993744486422380106389138485693023681755839556876974706129907797944389505776328991849542614362377095825460096935427335262883691594883918292263951917570354694244502318573497852108755868775633157282858668521344445841538601739719773544120853958627308162463351674183316949728236474757109864546416474833080182466867289672080738525229729716450975889282178399234093432683507190845772505257060068589120835641418165513283329733734529725996737725124147890848456331874386106562793220457306751907572207875182064603644858100422689422096362695153753035068319824167723832973538812232368309910989126918886945935694053007940725190413182379763438866302582638036029586062444892108373568953785930974093844776819262909499992884503757753787270808059858420085122194474760105906751945164518768726889513307133205757101450946792974119311029705516769132001662239280225327293542777441590787353382641230166705437145732928354866112434489236819119354344678489207351748376662609299367810065130975429228330561341602178170715332586671963317815583929388593043177561200873636890804038063645842745874203022557768883007848762518066670439762171002999913672656570413387536324445491706558337045534042956855360319302570126828734369336529516117687542698278059654895912307831741491498999157072997498492976991477853065016920390790471157733094124668793614352346698033149106660260930714612672585750946017823662184124432994584060494563987724530858138892749688839218077215003319955759651329532833995193910807938912192997638561421601540932606903829992239800555779479814514189676503797164564041439229592541374786193577360316286252032744197079022780812087471123241493514283327981148568492986540441554732400024238437551870864738430781165451973465718859623896856529358199340571801555899475048298773108443536932758704699514627175180220141534342451982451146466016137144078186689094876149219448382999610107191648964179117316132690971447372553747854047872779552959261349071577972032785215397022550630401472828326690422096487919209153217764580131765555638669416362244733813679660549302148137314591443990035407529147288119771508110823056642926255964642766021108490391771146856268576102571194309649209621527680335040127938657417228271938771712435278862426815276533038231296297763978755981804915996586195951423831304051911957502487264505625955343903687361776009327591690342457747895535249010573217529975796705198209302088114833218409674319338106289299724001816570109367007578777553482628511801536046353772115040190949478301266841318698878468836667582363635220583462459922547056597620715288771431974160617438635887393501162986910103059237470096755084541410935186353230880636244739624741243562673137991671542313785013696225940952147738517219271960101547967011496823393819638187150405450775505178679351318109675325597624508631081183604845472037067512258819169254473410604595410659972585762362358908491714909715984436246500868326892916902522755359470766554402730736564803027285735860337024919390004289187449203703192611502547116644858471367538696033971547980610407231763386078681693870563646780189446302579415854798533847095944548620623344867296168576278486895692}
30524 1394993039725464485179884529155417482220650390435162626969133518503420519948761819246204: {213619,305170,366204,793234,945283,1342396,1768594,1890442,2805724,2951419,3203445,3229714,3417008,3536956,3813625,3844134,4445554,4576350,4767619,4881440,5491620,5857728,6396043,6459004,6589944,7413687,7962442,8198563,8558203,8647516,8691645,9271088,9456043,10173019,10429974,10520085,10833436,10887429,10983442,11221424,12068554,12624102,12673363,12961225,13029403,13083213,13874194,14727153,15196042,15553470,15916234,15923836,16220803,16276114,16590368,16995442,17106573,17279419,17532325,18159619,18450685,18664164,18791242,19117857,19213483,19426589,19739443,20089723,20215533,20277845,20614603,21000124,21038790,21299314,21480645,21724156,22140822,22441376,22912688,23086474,23443474,23894524,24333414,24632434,25226314,25246548,25309363,25400669,25766585,25776774,25938442,26057074,26173003,27506044,27723019,27752270,27834634,28387121,28509085,28968350,29438419,30070929,30390076,30523493,30553234,30601245,30877256,30919902,30976123,31998019,32641328,32875766,33017323,33302724,33733834,34210902,34736913,34762020,35554243,35798725,35965042,36070853,36228019,36286670,36683336,36721494,37079488,38074963,38297404,38307442,38424394,39359434,39646100,40553030,40583521,40620045,41224557,41268753,41410723,41714424,42074419,42856714,42958470,43232673,43311196,43328048,43544004,43604990,43670674,45296242,45760114,45822368,45855845,46169884,46196419,46928727,46965380,47575320,47832619,48267848,48310876,48663636,48716733,48744054,49808074,50435563,50615314,50747008,50798006,50961034,51158216,51529790,51533085,51550164,51655142,51730123,51838100,51873436,52227442,52325988,53041233,53341843,53502619,53522235,53951242,54007516,54301329,54968624,55027014,55266403,55428796,55671442,55745923,56358456,56358514,56703019,57090384,57339643,57491229,57552993,57891045,57932900,58530442,58976956,60032443,60241042,60505483,60663019,60968469,61042982,61102396,61212221,61265674,61293837,61750448,61834354,61835748,61839702,62205720,62970514,63144325,63403263,64193969,64226682,64331794,65168913,65508350,65976403,66030154,66352768,67014056,67093400,67870245,68448019,68703085,69216619,69370123,69469254,69519480,69981435,70063149,70986844,71511619,71690716,72394928,72568580,73277945,73793060,74154112,74198216,74546419,74646864,74803594,75300619,75390813,75474442,75480075,75773190,75902683,76033042,76609756,77149042,77311324,77402803,77696164,78012604,78209415,78448603,78610020,78895723,79333617,79935176,80512080,80824736,81367976,81444294,81486154,81514684,82443702,83339553,83423376,83472993,83478019,83612476,83683768,83850688,83977722,84210619,84231848,84805834,85879552,86460274,86542843,86806181,87010954,87082296,87123019,87204260,87446030,87785085,87933534,88551672,88712563,89144563,89429194,89592645,89731205,89927073,90150043,90576090,90586396,90927828,91012061,91381448,91538973,91705670,91986429,92605042,93003403,93260434,93570619,93637424,93697042,93712243,93851298,94144239,94332024,94756924,94760829,95565488,95985034,96249163,96614496,97648483,97927483,97967583,98482834,98516648,98807005,99040603,99620631,99782674,...,3409380819026991991887553861568881824403956025378586219345448438867577424671725631908568541815678082175713937163205673176898064952678782003218359559956414154322277117158965512774010741408208303554267036072808169370481823250568108767386210358719438648488333517562930353091245996667005807344380550586859977486461684472215844693563414540961285557546061282652841041729586834632740402141599260845787706302662625969959074594481366080506076012187541219060728627571575778014842316577887715678571076647702747560469340316166946567233381129560383294316376392662993610135665578388179213003324263564156473618002070069810303607724864264701257632655904714463183888023998010755814113385309468313711854528775729491811933338989906866983895498690877949288411196453154162507142850274497550831689197356350391724406788967587208910741848456861456372130272828671076012572982709977629638872712538757341550554606647191777991636141780012026468934808319757412440418880545800879779686169166190624593790903464137226489514601925170017413825265049701008734528688364326007985337327480621233729398804171960763882017712828387874538641792496236893729324059505223122916880439468793123376996649984469689552484137569651456091742672316545480157117205925537008901834056197359457688683351213750896358333447125216735192633557021735241958463698736527742899871086212349939086677181998833026480210169606100758456745112121463057464892059352938238836067341704131986727056198135168157928158401733585744735987638146073738841183766736715093689799021645463137535043355626390833622645511253408030647157390256738243228667186064565444312120809694901731610916880332578526622914171915051516973965304504650183038941677488634402919264155426989643582784597419866094444443116828666468644871067163567161486848856127534015990616729633570159583707728539535522633759335315462059194861696916584258664493487774313921543565643738190145403141002894325537392325877438395927876355532041366753477860246778163133803163449735924288002782016668762307902609579660316181280937940962243695027511274975424592354712135664796819624712249620273700300934508121107787844594574676463833923267598851140149025260786268658757885590102883681253462127248269924994600601794588995106587686221836272684497811579159844189830685960127861358311812773096905467287150634034133144544042730629552602479736251585749460308218348552464866483690378330418903541079511911087785619773569645158299453873957054044379093667338162560353430678896461140767165228894364249989326755636630680906212089787630127683291712140158860127917746778153090334269960699808635652176420189461178966544558275153698002493358920337990940314166162386181030073961845250058155718599392532299168651733855228679031517017733811027622564993913949051715097696463143842495842012403267256072998880007944976723375894082889564766341801310455336206057095468764118811304533836653324511773143777100005659643256504499870508984855620081304486668237559837505568301064435283040478953855190243101554004794274176531314047417089482343868461747612237248498735609496247739465487216779597525380586185706736599641187003190421528520047049723659990391396071919008878626419026735493276186649491876090741845981586796287208339124533258827115822504979933639476994299250992790866211908368289496457842132402311398910355744988359700833669219721771284514755695746846062158844388812062179290366040474429378049116295618534171218131206684862240271424991971722852739479810662332098600036357656327806297107646171748177960198578289435845284794037299010857702333849212572448159662665305399138057049271940762770330212301513677973676719699024205716117280033642314223829172574499415160787473446268675974199036457171058830621781071809169329438892023607366958049177823095533825945602209242490035633144731878813729826646870197648333458004124543367100720519490823953222205971887165985053111293720932179657262166234584964389383946964149031662735587656720284402864153856791464473814432291520502560191907986125842407908157568652918293640222914799557346944446645968133972707373994879293927135746956077867936253730896758438933015855531042664013991387535513686621843302873515859826294963695057797313953132172249827614511479007159433949586002724855164050511368166330223942767702304069530658172560286424217451900261978048317703255001373545452830875193689883820584896431072933157147961240926157953831090251744480365154588856205145132626812116402779529846320954367109437111865344009706987507313470677520544338911428221607775828907940152321950517245235090729457280725608176163257768019026977164512988396436762946621775407268208055601268388228753881710115906893115989958878643543538362737572364573976654369751302490339375353784133039206149831604096104847204540928603790505537379085006433781173805554788917253820674967287707051308044050957321970915610847645079118022540805845470170284169453869123782197800770643916822930935017300944252864417730343538}
30525 1399290558867975774454411687013151044643552188715904268851788222956646221239563247845170: {457755,488272,549306,1189851,1677995,2013594,2652891,2835663,2989882,3507155,4208586,4271260,4421195,4844571,5125512,5305434,5702939,5766201,6101800,6668331,6864525,7322160,7531771,7714223,7810304,8073755,8112202,8237430,8786592,8811899,9688506,9818746,9884916,10307986,10809395,11588860,11943663,12746074,12971274,13477906,13541795,13906632,14026780,14516572,15062554,15644961,15751439,16250154,16475163,16832136,17032171,17444284,18102831,18936153,19636204,19904795,20048602,20737960,20811291,21235499,21419707,22794063,22808764,23330205,23874351,23885754,24414171,24885552,25490476,25493163,25622747,26250155,26954044,27017599,27155195,27783503,27996246,28051720,28186863,28561162,28640860,28823674,29521096,29868155,30540347,31500186,31558185,31948971,32097919,32444552,32479954,32586234,33211233,33662064,34062106,34369032,34382555,34629711,35165211,35841786,36500121,36948651,37117331,37839471,37869822,37912042,37987595,38330002,38596570,38665161,38907663,39085611,40094572,40801660,41226536,41259066,41501987,41628405,41751951,42234367,42836602,43081051,43448794,43452525,44403632,44763439,45585114,45614536,45670927,45829851,45854170,46315884,46349360,46379853,47871755,48097546,48292114,48961992,49313649,49557625,49693823,49954086,50600751,51316353,52143030,53947563,54031642,54138995,54160060,54430005,54966076,55025004,55082241,55619232,55747439,57277960,57446106,57461163,57636591,57643564,57712355,57738923,58058672,58637299,58706725,59039151,59469150,59498671,60334810,60388595,60829545,62505274,62571636,63196879,63345562,63433760,63708623,63947770,64285071,64437705,64797625,64841795,64884848,64923439,64955644,64966794,64992072,65316006,65407485,65506011,65661466,66126563,67222079,67509395,67944363,68640171,68673739,68710780,68733552,69254826,69285995,69767984,69943279,70448070,70721644,71196979,71362980,72401772,72416125,72466314,72906394,72995454,73116081,73223297,73369352,73702867,73721195,74712111,75144608,75922971,76070371,76120512,76197009,76377995,76441551,76654972,76737324,77188060,77294685,77325246,77482713,77757150,77810154,78341163,78419731,78488982,78981011,79958767,80199247,80926863,81011274,81177034,81291292,81725116,81726922,81932746,82447664,82452936,82540521,82940960,83143194,83369362,83507163,83619802,83767570,83866750,84415594,84537684,84537771,84581146,85635576,86138099,86202067,86891884,86899350,87795663,88465434,88695859,88733555,89613395,90361563,90493660,90710725,91564473,91653594,91898511,92241325,92625672,92692640,92747770,92751531,92753622,92759553,93308580,93417532,94297067,94455771,94574746,94839043,95762195,96340023,96497691,96639155,97038463,97120205,97515755,98262525,99045231,99529152,99918970,...,5114071228540487987831330792353322736605934038067879329018172658301366137007588447862852812723517123263570905744808509765347097429018173004827539339934621231483415675738448269161016112112312455331400554109212254055722734875852163151079315538079157972732500276344395529636868995000508711016570825880289966229692526708323767040345121811441928336319091923979261562594380251949110603212398891268681559453993938954938611891722049120759114018281311828591092941357363667022263474866831573517856614971554121340704010474250419850850071694340574941474564588994490415203498367582268819504986395346234710427003105104715455411587296397051886448983857071694775832035997016133721170077964202470567781793163594237717900008484860300475843248036316923932616794679731243760714275411746326247533796034525587586610183451380813366112772685292184558195409243006614018859474064966444458309068808136012325831909970787666987454212670018039703402212479636118660628320818701319669529253749285936890686355196205839734271902887755026120737897574551513101793032546489011978005991220931850594098206257941145823026569242581811807962688744355340593986089257834684375320659203189685065494974976704534328726206354477184137614008474818220235675808888305513352751084296039186533025026820626344537500170687825102788950335532602862937695548104791614349806629318524908630015772998249539720315254409151137685117668182194586197338089029407358254101012556197980090584297202752236892237602600378617103981457219110608261775650105072640534698532468194706302565033439586250433968266880112045970736085385107364843000779096848166468181214542352597416375320498867789934371257872577275460947956756975274558412516232951604378896233140484465374176896129799141666664675242999702967306600745350742230273284191301023985925094450355239375561592809303283950639002973193088792292545374876387996740231661470882315348465607285218104711504341488306088488816157593891814533298062050130216790370167244700704745174603886432004173025003143461853914369490474271921406911443365542541266912463136888532068203497195229437068374430410550451401762181661681766891862014695750884901398276710223537891179402988136828385154325521880193190872404887491900902691883492659881529332754409026746717368739766284746028940191792037467719159645358200930725951051199716816064095944328903719604377378624190462327522828697299725535567495628355311619267866631678429660354467737449180810935581066568640501007243840530146018344691711150747843341546374983990133454946021359318134681445191524937568210238290191876620167229635501404941049712953478264630284191768449816837412730547003740038380506986410471249243579271545110942767875087233577899088798448752977600782843018547275526600716541433847490870923577572646544694715763743763018604900884109498320011917465085063841124334347149512701965683004309085643203146178216956800754979986767659715665650008489464884756749805763477283430121956730002356339756258352451596652924560718430782785364652331007191411264796971071125634223515802692621418355872748103414244371609198230825169396288070879278560104899461780504785632292780070574585489985587094107878513317939628540103239914279974237814136112768972380194430812508686799888240673733757469900459215491448876489186299317862552434244686763198603467098365533617482539551250503829582656926772133543620269093238266583218093268935549060711644067073674443427801256827196810027293360407137487957584279109219715993498147900054536484491709445661469257622266940297867434153767927191055948516286553500773818858672239493997958098707085573907911144155495318452270516960515079548536308574175920050463471335743758861749122741181210169403013961298554685756588245932671607713753994158338035411050437073766734643300738918403313863735053449717097818220594739970305296472500187006186815050651080779236235929833308957830748977579666940581398269485893249351877446584075920446223547494103381485080426604296230785187196710721648437280753840287861979188763611862236352979377440460334372199336020416669968952200959061060992318940890703620434116801904380596345137658399523783296563996020987081303270529932764954310273789739442445542586695970929698258374741421767218510739150924379004087282746075767052249495335914151553456104295987258840429636326177850392967072476554882502060318179246312790534825730877344646609399735721941861389236930746635377616720547731883284307717698940218174604169294769481431550664155667798016014560481260970206016280816508367142332411663743361910228482925775867852636094185921088412264244886652028540465746769482594655144419932663110902312083401902582343130822565173860339673984938317965315307544106358546860964981554626953735509063030676199558809224747406144157270806811392905685758306068627509650671760708332183375880731012450931560576962066076435982956373416271467618677033811208768205255426254180803685673296701155965875234396402525951416379296626595515307}
30526 1403601240725468867820849572751688360582181069561356230011159665517415386347975584336809: {427238,518653,610340,732408,823959,884413,1586468,1797553,1890566,2684792,3020391,3537188,3780884,4163293,4484823,5339075,5432113,5611448,5902838,6312879,6406890,6459428,6834016,7058269,7073912,7627250,7688268,7779133,7958151,8891108,9152700,9535238,9762880,10983240,11715456,11723293,12168303,12356145,12792086,12918008,13179888,14037553,14392513,14486075,14532759,14728119,14827374,15461979,15924884,16397126,17116406,17295032,17383290,17533475,17926273,18145715,18542176,18912086,19119111,19331713,19456911,19507069,19682353,20216859,20346038,20859948,21040170,21666872,21774858,21805355,21966884,22442848,22593831,22999069,24041053,24137108,24375231,24545255,25248204,25346726,25426333,25599169,25830959,25922450,26058806,26166426,27748388,28183069,28388983,28510955,29454306,30072903,30392084,31106940,31832468,31847672,31863095,32283613,32441606,32453569,32552228,33180736,33692555,33990884,34149169,34213146,34558838,34825393,34994269,35064650,35801075,35828631,35837569,36006013,36073219,36319238,36901370,37328328,37518769,37582484,38235714,38426966,38524033,38853178,39478886,39912719,40027069,40179446,40431066,40555690,40586183,41229206,41994369,42000248,42077580,42598628,42841743,42961290,43235511,43346269,43448312,43511473,44281644,44882752,45825376,46172948,46886948,47250279,47789048,47962343,48107953,48666828,48719931,48879351,49248253,49264868,49898269,50118215,50452628,50493096,50618726,50801338,51002075,51093159,51533170,51553548,51876884,52114148,52325569,52346006,53762679,53774173,54576433,55012088,55446038,55504540,55669268,56494513,56774242,56804733,56868063,57018170,57495003,57767473,57894855,57936700,58719169,58876838,59352193,60141858,60780152,61046986,61106468,61202490,61754512,61839804,61888599,61952246,62500033,63282493,63438769,63996038,64198183,64254903,64842013,65173191,65282656,65751532,66034646,66605448,67467668,67700075,67939453,68377671,68421804,68707595,68781255,69473826,69524040,71108486,71160769,71597450,71930084,72054455,72075313,72141706,72146319,72438171,72456038,72573340,72835453,73366672,73442269,73442988,74158976,74931129,75105073,76149926,76459069,76594808,76614884,76848788,77058973,77358493,78214545,78553693,78718868,79292200,79595713,80337853,81047463,81106060,81167042,81194555,81240090,82449114,82537506,82553473,82821446,83428848,84148838,84752893,85482433,85713428,85888475,85916940,86169159,86465346,86622392,86656096,87088008,87209980,87341348,88402055,89203725,90502215,90538813,90592484,90968113,91520228,91644736,91711690,92339768,92392838,93388573,93757911,93813553,93857454,93930760,95018343,95150640,95366269,95506993,95665238,95818715,95921655,96184319,96485075,96535696,96621752,97327272,97433466,97450191,97469569,97488108,97974009,98492199,98723773,99616148,...,6818761638053983983775107723137763648807912050757172438690896877735154849343451263817137083631356164351427874326411346353796129905357564006436719119912828308644554234317931025548021482816416607108534072145616338740963646501136217534772420717438877296976667035125860706182491993334011614688761101173719954972923368944431689387126829081922571115092122565305682083459173669265480804283198521691575412605325251939918149188962732161012152024375082438121457255143151556029684633155775431357142153295405495120938680632333893134466762259120766588632752785325987220271331156776358426006648527128312947236004140139620607215449728529402515265311809428926367776047996021511628226770618936627423709057551458983623866677979813733967790997381755898576822392906308325014285700548995101663378394712700783448813577935174417821483696913722912744260545657342152025145965419955259277745425077514683101109213294383555983272283560024052937869616639514824880837761091601759559372338332381249187581806928274452979029203850340034827650530099402017469057376728652015970674654961242467458797608343921527764035425656775749077283584992473787458648119010446245833760878937586246753993299968939379104968275139302912183485344633090960314234411851074017803668112394718915377366702427501792716666894250433470385267114043470483916927397473055485799742172424699878173354363997666052960420339212201516913490224242926114929784118705876477672134683408263973454112396270336315856316803467171489471975276292147477682367533473430187379598043290926275070086711252781667245291022506816061294314780513476486457334372129130888624241619389803463221833760665157053245828343830103033947930609009300366077883354977268805838528310853979287165569194839732188888886233657332937289742134327134322973697712255068031981233459267140319167415457079071045267518670630924118389723393833168517328986975548627843087131287476380290806282005788651074784651754876791855752711064082733506955720493556326267606326899471848576005564033337524615805219159320632362561875881924487390055022549950849184709424271329593639249424499240547400601869016242215575689189149352927667846535197702280298050521572537317515771180205767362506924254496539849989201203589177990213175372443672545368995623158319688379661371920255722716623625546193810934574301268068266289088085461259105204959472503171498920616436697104929732967380756660837807082159023822175571239547139290316598907747914108088758187334676325120706861357792922281534330457788728499978653511273261361812424179575260255366583424280317720255835493556306180668539921399617271304352840378922357933089116550307396004986717840675981880628332324772362060147923690500116311437198785064598337303467710457358063034035467622055245129987827898103430195392926287684991684024806534512145997760015889953446751788165779129532683602620910672412114190937528237622609067673306649023546287554200011319286513008999741017969711240162608973336475119675011136602128870566080957907710380486203108009588548353062628094834178964687736923495224474496997471218992495478930974433559195050761172371413473199282374006380843057040094099447319980782792143838017757252838053470986552373298983752181483691963173592574416678249066517654231645009959867278953988598501985581732423816736578992915684264804622797820711489976719401667338439443542569029511391493692124317688777624124358580732080948858756098232591237068342436262413369724480542849983943445705478959621324664197200072715312655612594215292343496355920397156578871690569588074598021715404667698425144896319325330610798276114098543881525540660424603027355947353439398048411432234560067284628447658345148998830321574946892537351948398072914342117661243562143618338658877784047214733916098355646191067651891204418484980071266289463757627459653293740395296666916008249086734201441038981647906444411943774331970106222587441864359314524332469169928778767893928298063325471175313440568805728307713582928947628864583041005120383815972251684815816315137305836587280445829599114693888893291936267945414747989758587854271493912155735872507461793516877866031711062085328027982775071027373243686605747031719652589927390115594627906264344499655229022958014318867899172005449710328101022736332660447885535404608139061316345120572848434903800523956096635406510002747090905661750387379767641169792862145866314295922481852315907662180503488960730309177712410290265253624232805559059692641908734218874223730688019413975014626941355041088677822856443215551657815880304643901034490470181458914561451216352326515536038053954329025976792873525893243550814536416111202536776457507763420231813786231979917757287087076725475144729147953308739502604980678750707568266078412299663208192209694409081857207581011074758170012867562347611109577834507641349934575414102616088101914643941831221695290158236045081611690940340568338907738247564395601541287833645861870034601888505728835460687076}
30527 1407925125380277229421233529437348209499890984163218787967897459074376105382029457218392: {640857,762925,915510,976544,1098612,1983085,2349193,2379702,2835849,3355990,4027188,4421485,4726105,4910017,5305782,5671326,5979764,6189673,6373873,6739837,7014310,7714729,8074285,8417172,8542520,8812477,8842390,8854257,9116809,9610335,9689142,9848593,10251024,10610868,11113885,11303257,11405878,11440875,11532402,12203600,13336662,13729050,14302857,14644320,15063542,15133153,15428446,15620608,15752473,16147510,16224404,16474860,17573184,17623798,18615337,18958513,19188129,19377012,19637492,19769832,19906105,20615972,21236893,21618790,22241061,22271377,22440913,23177720,23733793,23887326,24595689,25492148,25624429,25674609,25927417,25942548,26074935,26955812,27083590,27389833,27458605,27813264,27866713,28053560,28368129,29033144,29788033,30125108,30171385,30519057,31289922,31502878,31560255,31575613,32500308,32662287,32835049,32950326,33664272,34064342,34133329,34685485,34888568,36205662,36750217,37790929,37872306,37990105,38017273,38020089,38883675,39088209,39249639,39272408,39790585,39809590,40097204,40690285,40868833,41475920,41622582,41815417,42453433,42470998,42488605,42839414,42932497,44181459,44364193,45588126,45617528,46191133,46660410,46978105,47748702,47771508,48135577,48662409,48828342,49771104,49771513,50980952,50986326,51093649,51245494,51319719,51838257,52500310,52596975,53182633,53248285,53908088,54035198,54310390,54478857,55303057,55352055,55567006,55992492,56103440,56373726,57122324,57281720,57353571,57640449,57647348,57716185,58279767,58608685,59042192,59127433,59218329,59736310,60269169,60646599,60833535,61080694,61581085,61843809,62649193,63000372,63065785,63116370,63897942,64195838,64375729,64441935,64846105,64889104,64959908,65142685,65172468,65701273,65883337,66422466,66430873,67020457,67324128,68124212,68236909,68738064,68765110,69259422,69352249,69380675,69586585,70330422,70626169,71683572,72420875,73000242,73602913,73897302,74234662,74308729,75292009,75678942,75739644,75793657,75794593,75824084,75928089,75975190,76202007,76383085,76660004,77193140,77299755,77330322,77815326,78171222,78519009,78986209,80189144,80797297,81603320,82189415,82453072,82518132,83003974,83169057,83256810,83503902,84091537,84334585,84468734,84544033,85161363,85527255,85542193,85673204,86162102,86897588,86905050,87521929,88315257,88807264,89526878,89912605,90212787,90716675,90778513,91170228,91229072,91341854,91570479,91659702,91708340,91803735,92631768,92698720,92759706,92928369,94303273,94513153,95686417,95743510,95768605,95994057,96059629,96060985,96195092,96271993,96584228,97000393,97408729,97923984,98398585,98445793,98627298,99051969,99115250,99387646,99908172,...,10228142457080975975662661584706645473211868076135758658036345316602732274015176895725705625447034246527141811489617019530694194858036346009655078679869242462966831351476896538322032224224624910662801108218424508111445469751704326302158631076158315945465000552688791059273737990001017422033141651760579932459385053416647534080690243622883856672638183847958523125188760503898221206424797782537363118907987877909877223783444098241518228036562623657182185882714727334044526949733663147035713229943108242681408020948500839701700143388681149882949129177988980830406996735164537639009972790692469420854006210209430910823174592794103772897967714143389551664071994032267442340155928404941135563586327188475435800016969720600951686496072633847865233589359462487521428550823492652495067592069051175173220366902761626732225545370584369116390818486013228037718948129932888916618137616272024651663819941575333974908425340036079406804424959272237321256641637402639339058507498571873781372710392411679468543805775510052241475795149103026203586065092978023956011982441863701188196412515882291646053138485163623615925377488710681187972178515669368750641318406379370130989949953409068657452412708954368275228016949636440471351617776611026705502168592078373066050053641252689075000341375650205577900671065205725875391096209583228699613258637049817260031545996499079440630508818302275370235336364389172394676178058814716508202025112395960181168594405504473784475205200757234207962914438221216523551300210145281069397064936389412605130066879172500867936533760224091941472170770214729686001558193696332936362429084705194832750640997735579868742515745154550921895913513950549116825032465903208757792466280968930748353792259598283333329350485999405934613201490701484460546568382602047971850188900710478751123185618606567901278005946386177584585090749752775993480463322941764630696931214570436209423008682976612176977632315187783629066596124100260433580740334489401409490349207772864008346050006286923707828738980948543842813822886731085082533824926273777064136406994390458874136748860821100902803524363323363533783724029391501769802796553420447075782358805976273656770308651043760386381744809774983801805383766985319763058665508818053493434737479532569492057880383584074935438319290716401861451902102399433632128191888657807439208754757248380924655045657394599451071134991256710623238535733263356859320708935474898361621871162133137281002014487681060292036689383422301495686683092749967980266909892042718636269362890383049875136420476580383753240334459271002809882099425906956529260568383536899633674825461094007480076761013972820942498487158543090221885535750174467155798177596897505955201565686037094551053201433082867694981741847155145293089389431527487526037209801768218996640023834930170127682248668694299025403931366008618171286406292356433913601509959973535319431331300016978929769513499611526954566860243913460004712679512516704903193305849121436861565570729304662014382822529593942142251268447031605385242836711745496206828488743218396461650338792576141758557120209798923561009571264585560141149170979971174188215757026635879257080206479828559948475628272225537944760388861625017373599776481347467514939800918430982897752978372598635725104868489373526397206934196731067234965079102501007659165313853544267087240538186476533166436186537871098121423288134147348886855602513654393620054586720814274975915168558218439431986996295800109072968983418891322938515244533880595734868307535854382111897032573107001547637717344478987995916197414171147815822288310990636904541033921030159097072617148351840100926942671487517723498245482362420338806027922597109371513176491865343215427507988316676070822100874147533469286601477836806627727470106899434195636441189479940610592945000374012373630101302161558472471859666617915661497955159333881162796538971786498703754893168151840892447094988206762970160853208592461570374393421443296874561507680575723958377527223724472705958754880920668744398672040833339937904401918122121984637881781407240868233603808761192690275316799047566593127992041974162606541059865529908620547579478884891085173391941859396516749482843534437021478301848758008174565492151534104498990671828303106912208591974517680859272652355700785934144953109765004120636358492625581069651461754689293218799471443883722778473861493270755233441095463766568615435397880436349208338589538962863101328311335596032029120962521940412032561633016734284664823327486723820456965851551735705272188371842176824528489773304057080931493538965189310288839865326221804624166803805164686261645130347720679347969876635930630615088212717093721929963109253907471018126061352399117618449494812288314541613622785811371516612137255019301343521416664366751761462024901863121153924132152871965912746832542935237354067622417536410510852508361607371346593402311931750468792805051902832758593253191030614}
30528 1412262253036083946402249882111970226719516655116323130229736856216266402556641150266334: {335687,579671,854476,945407,1037306,1128167,1220680,1373265,1464816,1647918,1768826,1797671,1858487,2405471,2951807,3073127,3172936,3569553,3595106,3781132,4163567,4224071,5033985,5369584,5492807,6040782,7074376,7474705,7561768,7779647,7958673,8139671,8326586,8506989,8969646,9576887,9995207,10472807,10521465,10678150,10830671,10864226,11069087,11222896,11724071,11805676,12318671,12615671,12625758,12813780,12918856,12971807,13209071,13263585,13668032,13742447,14116538,14147824,14533713,14984471,15254500,15376536,15558266,15916302,17046671,17108817,17298603,17782216,17986127,18162047,18305400,19070476,19333007,19525760,19742087,20004993,20209127,20280505,20593575,20617367,21141671,21966480,22014071,22595313,22884671,23142669,23406167,23430912,23446586,24100487,24221265,24336606,24546865,24712290,25404001,25428047,25485671,25584172,25769965,25836016,26291567,26359776,26435697,27497471,27841367,28013207,28075106,28785026,28972150,29065518,29271167,29442407,29456238,29654748,30527497,30923958,31849768,31865185,32115767,32428185,32794252,32852087,33191471,33694765,34232812,34363357,34590064,34658807,34766580,35066950,35221727,35671487,35830989,35852546,36064607,36291430,36849671,37084352,37353527,37656385,37824172,37912607,38191847,38238222,38526671,38582447,38663426,38749727,38913822,39014138,39364706,39696287,39915337,40252007,40433718,40625385,40692076,40751471,41527127,41719896,42080340,42190727,43333744,43549716,43610710,43844687,43933768,44608333,44885696,44888471,45187662,45381887,45710471,45998138,46312127,46476047,46803671,46934883,47021927,47169577,47254317,47839247,47965489,48082106,48165671,48274216,48750462,49090510,49425489,49576847,50121505,50496408,50693452,50852666,51090527,51096513,51198338,51661918,51844900,52117612,52332852,52544207,53510087,53617247,53831471,54308493,54419927,54580247,55220807,55496776,55700471,56366138,56498471,56682769,56710967,56777966,56808459,57021910,57347687,57824471,58908612,59198207,59409071,59672471,59714385,60145806,60776567,60784168,61772471,62213880,62433873,62869847,63339071,63651527,63664936,63695344,63706497,63726190,64259121,64567226,64883212,64907138,65104456,65157671,66140807,66361472,66914927,67385110,67944287,67981768,68298338,68382189,68426292,68560367,68714207,69021671,69117676,69482327,69650786,69988538,69990615,70129300,70165501,70860407,71402905,71602150,71623053,71657262,71675138,72012026,72059185,72146438,72638476,72840671,73242513,73802740,74557127,74656656,75037538,75164968,75411887,75612671,75863471,76364471,76471428,76479489,76853932,76868241,77048066,77064527,77364071,77413967,77706356,78559367,78750465,78957772,79825438,80047007,80054138,80358892,80541287,80862132,81052797,81111380,81172366,81199885,81465585,82458412,82559471,82608527,83049671,83350509,83587967,83783471,83988738,84000496,84155160,84515471,84560589,85155265,85197256,85488671,85537247,85683486,85922580,86471022,86652287,86692538,86896624,87022946,87232367,88148471,88563288,88677527,88821647,89604465,89765504,90593207,91621041,91650752,92345896,93678887,93773896,93820487,93867671,94500558,94674555,94780105,94856687,94997687,95560967,95578096,95701607,95825005,95846913,95924686,96190633,96215906,96293757,96491425,96497207,97104047,97333656,97439862,97758702,97802567,98496506,98529736,99633699,99796538,99887327,...,15342213685621463963493992377059968209817802114203637987054517974904098411022765343588558438170551369790712717234425529296041292287054519014482618019803863694450247027215344807483048336336937365994201662327636762167168204627556489453237946614237473918197500829033186588910606985001526133049712477640869898689077580124971301121035365434325785008957275771937784687783140755847331809637196673806044678361981816864815835675166147362277342054843935485773278824072091001066790424600494720553569844914662364022112031422751259552550215083021724824423693766983471245610495102746806458514959186038704131281009315314146366234761889191155659346951571215084327496107991048401163510233892607411703345379490782713153700025454580901427529744108950771797850384039193731282142826235238978742601388103576762759830550354142440098338318055876553674586227729019842056578422194899333374927206424408036977495729912363000962362638010054119110206637438908355981884962456103959008587761247857810672059065588617519202815708663265078362213692723654539305379097639467035934017973662795551782294618773823437469079707727745435423888066233066021781958267773504053125961977609569055196484924930113602986178619063431552412842025424454660707027426664916540058253252888117559599075080461879033612500512063475308366851006597808588813086644314374843049419887955574725890047318994748619160945763227453413055353004546583758592014267088222074762303037668593940271752891608256710676712807801135851311944371657331824785326950315217921604095597404584118907695100318758751301904800640336137912208256155322094529002337290544499404543643627057792249125961496603369803113773617731826382843870270925823675237548698854813136688699421453396122530688389397424999994025728999108901919802236052226690819852573903071957775283351065718126684778427909851851917008919579266376877636124629163990220694984412646946045396821855654314134513024464918265466448472781675443599894186150390650371110501734102114235523811659296012519075009430385561743108471422815764220734330096627623800737389410665596204610491585688311205123291231651354205286544985045300675586044087252654704194830130670613673538208964410485155462976565640579572617214662475702708075650477979644587998263227080240152106219298854238086820575376112403157478936074602792177853153599150448192287832986711158813132135872571386982568486091899176606702486885065934857803599895035288981063403212347542432806743199705921503021731521590438055034075133452243530024639124951970400364838064077954404044335574574812704630714870575629860501688906504214823149138860434793890852575305349450512238191641011220115141520959231413747730737814635332828303625261700733697266395346258932802348529055641826579802149624301542472612770732717939634084147291231289055814702652328494960035752395255191523373003041448538105897049012927256929609438534650870402264939960302979146996950025468394654270249417290431850290365870190007069019268775057354789958773682155292348356093956993021574233794390913213376902670547408077864255067618244310242733114827594692475508188864212637835680314698385341514356896878340211723756469956761282323635539953818885620309719742839922713442408338306917140583292437526060399664722021201272409701377646474346629467558897953587657302734060289595810401295096600852447618653751511488747970780316400630860807279714799749654279806806647182134932201221023330283403770481590430081880081221412463872752837327659147980494443700163609453475128336984407772866800820893602302461303781573167845548859660502321456576016718481993874296121256721723733432466485955356811550881545238645608925722527760151390414007231276585247368223543630508209041883895664057269764737798014823141261982475014106233151311221300203929902216755209941591205160349151293454661784219910915889417500561018560445151953242337708707789499926873492246932739000821744194808457679748055632339752227761338670642482310144455241279812888692355561590132164945311842261520863585937566290835586709058938132321381003116598008061250009906856602877183182976956822672110861302350405713141789035412975198571349889691988062961243909811589798294862930821369218327336627760087912789094775124224265301655532217452773137012261848238227301156748486007742454660368312887961776521288908978533551178901217429664647506180954537738938371604477192632033939828199207165825584167710792239906132850161643195649852923153096820654523812507884308444294651992467003394048043681443782910618048842449525101426997234991230085730685448777327603557908282557763265236792734659956085621397240308447783965433259797989332706936250205707747029392467695521581019021954814953895945922632319075640582894944663880861206527189092028598676427674242218432471812420434178717057274918205882528952015282124996550127642193037352794681730886198229307948869120248814402856031101433626304615766278762542411057019890103467897625703189207577854249137889879786545921}
30529 1416612664018286987056938124426478985815410113909708920711664655594158264056694621511434: {30529,1068095,1281714,1525850,1555959,1831020,1953088,2197224,2471877,2653239,2776319,3966170,4698386,4726415,4759404,5392659,5671698,6190079,6616547,6711980,7532759,8054376,8842970,9061173,9117407,9452210,9820034,9849239,10611564,11007251,11303999,11342652,11959528,12379346,12489879,12747746,13454469,13479674,14028620,14757095,15429458,15559439,16017225,16148570,16296339,16834344,17085040,17624954,17684780,17708514,18233618,18616559,18938637,19068125,19220670,19378284,19697186,20502048,21174807,21221736,22227770,22272839,22606514,22811756,22881750,23064804,23337399,23735351,23838095,23874453,24407200,24891539,25929119,26521079,26673324,27391631,27458100,27868547,28605714,29278787,29288640,30127084,30266306,30856892,31241216,31504946,31980215,32295020,32448808,32949720,35146368,35169879,35204039,35247596,35290391,36504909,37068435,37230674,37917026,38376258,38442047,38754024,39274984,39539664,39812210,40992815,41231944,42112659,42239939,42456227,42473786,42791015,43177539,43237580,43458225,43598277,44184357,44482122,44542754,44662007,44881826,45676931,46355440,46385937,47280215,47467586,47774652,47983379,48444359,48559679,49191378,50172239,50439587,50865095,50984296,51248858,51349218,51854834,51885096,52149870,52600425,53186147,53778819,53911624,54167180,54437145,54779666,54917210,55285859,55626528,55706819,55733426,56107120,56336759,56736258,56966399,57357333,57995139,58066288,58370733,58521207,58820879,59047059,59484047,59576066,60250216,60342770,60650577,61038114,61809299,62579844,63005756,63120510,63151226,63205187,63366815,64413959,64806125,65000616,65147015,65324574,65416065,65670098,65769347,65900652,66368291,66969827,67328544,67781493,68128684,68266658,68682767,68997207,69370970,69777136,70342547,72024707,72123159,72411324,73125693,73500434,73635765,74547599,75581858,75744612,75980210,76034546,76040178,76080407,76097927,76278999,76797507,77193299,77492877,77646959,77767350,78176418,78499278,78544816,79581170,79619180,80194408,80802659,81104015,81380570,81737666,82052159,82951840,83245164,83630834,84549207,84906866,84941996,84977210,85166949,85523639,85532865,85678828,85864994,86213519,86397095,87661625,87819407,88292099,88362918,88728386,90218709,90784547,90798095,91176252,91199759,91235056,92144327,92253425,92382266,93320820,93956210,93984659,95497404,95543016,95589285,96065951,96067415,96271154,96850839,97083299,97132945,97324818,97360707,97421219,97656684,98697215,99476639,99542208,99543026,...,20456284914161951951325323169413290946423736152271517316072690633205464548030353791451411250894068493054283622979234039061388389716072692019310157359738484925933662702953793076644064448449249821325602216436849016222890939503408652604317262152316631890930001105377582118547475980002034844066283303521159864918770106833295068161380487245767713345276367695917046250377521007796442412849595565074726237815975755819754447566888196483036456073125247314364371765429454668089053899467326294071426459886216485362816041897001679403400286777362299765898258355977961660813993470329075278019945581384938841708012420418861821646349185588207545795935428286779103328143988064534884680311856809882271127172654376950871600033939441201903372992145267695730467178718924975042857101646985304990135184138102350346440733805523253464451090741168738232781636972026456075437896259865777833236275232544049303327639883150667949816850680072158813608849918544474642513283274805278678117014997143747562745420784823358937087611551020104482951590298206052407172130185956047912023964883727402376392825031764583292106276970327247231850754977421362375944357031338737501282636812758740261979899906818137314904825417908736550456033899272880942703235553222053411004337184156746132100107282505378150000682751300411155801342130411451750782192419166457399226517274099634520063091992998158881261017636604550740470672728778344789352356117629433016404050224791920362337188811008947568950410401514468415925828876442433047102600420290562138794129872778825210260133758345001735873067520448183882944341540429459372003116387392665872724858169410389665501281995471159737485031490309101843791827027901098233650064931806417515584932561937861496707584519196566666658700971998811869226402981402968921093136765204095943700377801420957502246371237213135802556011892772355169170181499505551986960926645883529261393862429140872418846017365953224353955264630375567258133192248200520867161480668978802818980698415545728016692100012573847415657477961897087685627645773462170165067649852547554128272813988780917748273497721642201805607048726646727067567448058783003539605593106840894151564717611952547313540617302087520772763489619549967603610767533970639526117331017636106986869474959065138984115760767168149870876638581432803722903804204798867264256383777315614878417509514496761849310091314789198902142269982513421246477071466526713718641417870949796723243742324266274562004028975362120584073378766844602991373366185499935960533819784085437272538725780766099750272840953160767506480668918542005619764198851813913058521136767073799267349650922188014960153522027945641884996974317086180443771071500348934311596355193795011910403131372074189102106402866165735389963483694310290586178778863054975052074419603536437993280047669860340255364497337388598050807862732017236342572812584712867827203019919947070638862662600033957859539026999223053909133720487826920009425359025033409806386611698242873723131141458609324028765645059187884284502536894063210770485673423490992413656977486436792923300677585152283517114240419597847122019142529171120282298341959942348376431514053271758514160412959657119896951256544451075889520777723250034747199552962694935029879601836861965795505956745197271450209736978747052794413868393462134469930158205002015318330627707088534174481076372953066332872373075742196242846576268294697773711205027308787240109173441628549951830337116436878863973992591600218145937966837782645877030489067761191469736615071708764223794065146214003095275434688957975991832394828342295631644576621981273809082067842060318194145234296703680201853885342975035446996490964724840677612055845194218743026352983730686430855015976633352141644201748295066938573202955673613255454940213798868391272882378959881221185890000748024747260202604323116944943719333235831322995910318667762325593077943572997407509786336303681784894189976413525940321706417184923140748786842886593749123015361151447916755054447448945411917509761841337488797344081666679875808803836244243969275763562814481736467207617522385380550633598095133186255984083948325213082119731059817241095158957769782170346783883718793033498965687068874042956603697516016349130984303068208997981343656606213824417183949035361718545304711401571868289906219530008241272716985251162139302923509378586437598942887767445556947722986541510466882190927533137230870795760872698416677179077925726202656622671192064058241925043880824065123266033468569329646654973447640913931703103471410544376743684353649056979546608114161862987077930378620577679730652443609248333607610329372523290260695441358695939753271861261230176425434187443859926218507814942036252122704798235236898989624576629083227245571622743033224274510038602687042833328733503522924049803726242307848264305743931825493665085870474708135244835072821021705016723214742693186804623863500937585610103805665517186506382061228}
30530 1420976398774365552005280123041896923222859512313168553732915422991166078841939062993785: {396721,671374,1128241,1159342,1708952,1858609,1890814,1922571,2074612,2256334,2288775,2441360,2746530,2929632,3133981,3295836,3537652,3595342,3716974,3861181,4224349,4810942,4949821,5903614,5949255,6146254,6345872,6397309,6758461,7047579,7139106,7190212,7562264,8200189,8327134,8380081,8389975,8448142,8507547,9278461,10067970,10464587,10533169,10739168,10985614,11962801,12081564,12675889,13032001,13209949,13264455,14148752,14178315,14730051,14949410,15123536,15559294,15917346,16224049,16279342,16400701,16653172,17013978,17106589,17535775,17939292,18339121,18569019,19121619,19153774,19990414,20219511,20945614,21042930,21356300,21661342,21666781,21728452,22105975,22138174,22445792,22886209,23144187,23448142,23611352,24222855,24637342,25231342,25251516,25487389,25627560,25837712,25943614,26418142,26437431,26527170,26562771,27212509,27336064,27350427,27484894,28233076,28295648,28392707,28514695,28831005,29067426,29545779,29968942,30509000,30753072,31116532,31832604,32004541,32174641,33193729,33341655,33909771,34093342,34217634,34322625,34365611,34597206,35564432,35972254,36077951,36324094,36610800,37412029,37658855,38140952,38571115,38585089,38666014,39051520,39484174,40009986,40368775,40418254,40561010,40591507,40754269,41187150,41234734,41585329,42248881,42283342,42745789,42908571,43932960,44028142,44059495,44611259,45190626,45399459,45769342,46206001,46285338,46533889,46812334,46861489,46861824,46893172,47172671,47257419,48005821,48200974,48442530,48673212,48821041,49093730,49424580,49634461,50121649,50608189,50808002,50856094,50971342,51094081,51168344,51539930,51672032,51740929,52583134,52718939,52719552,52871394,53353009,53513821,53674561,54046975,54994942,55278001,55682734,55757629,55846011,56026414,56150212,56686487,56874241,56875539,57510721,57564387,57570052,57944300,58131036,58463281,58542334,58884814,58912476,59255101,59309496,59718315,60675841,60833341,61054994,61776829,61847916,62719987,62874289,63656029,63699536,63710679,63730370,64231534,64856370,65214109,65588504,65704174,66145501,66382942,66723183,66814131,66988727,67322739,67389530,67708975,68465624,68726714,69180128,69317614,69384961,69533160,70133900,70151581,70170107,70443454,71201379,71342974,71661978,71705092,72129214,72582860,73699342,73787067,73806301,74168704,74707054,74713501,75312770,75316861,75467521,75648344,75825214,75919069,76383694,76476444,76820221,76873287,77023827,77053342,77164894,77326852,77419549,77499454,77569201,77782251,77827644,78028276,78224805,78465601,78729412,78757195,79061761,79392574,79830674,80504014,80867436,81250770,81384152,81502942,82169499,82375815,82614529,83054254,83439792,83600139,83789569,84160680,84381454,85104387,85160855,85543489,86561821,86667488,86707009,87099432,87221420,87689374,87867536,88732081,88876189,89164189,89216666,89364099,89771392,89776942,90313309,90375324,90514155,90763774,91420942,91557171,91996276,92624254,92952094,93591361,93607342,93733021,93869766,93874609,94043854,94339154,94508634,94581469,94680765,94726839,95678494,95930978,96164212,96270589,96331342,96548432,96551101,97500924,97809841,97986861,98181020,98505147,98850978,99062749,99153694,99201601,99479089,99523975,99964067,...,30684427371242927926987984754119936419635604228407275974109035949808196822045530687177116876341102739581425434468851058592082584574109038028965236039607727388900494054430689614966096672673874731988403324655273524334336409255112978906475893228474947836395001658066373177821213970003052266099424955281739797378155160249942602242070730868651570017914551543875569375566281511694663619274393347612089356723963633729631671350332294724554684109687870971546557648144182002133580849200989441107139689829324728044224062845502519105100430166043449648847387533966942491220990205493612917029918372077408262562018630628292732469523778382311318693903142430168654992215982096802327020467785214823406690758981565426307400050909161802855059488217901543595700768078387462564285652470477957485202776207153525519661100708284880196676636111753107349172455458039684113156844389798666749854412848816073954991459824726001924725276020108238220413274877816711963769924912207918017175522495715621344118131177235038405631417326530156724427385447309078610758195278934071868035947325591103564589237547646874938159415455490870847776132466132043563916535547008106251923955219138110392969849860227205972357238126863104825684050848909321414054853329833080116506505776235119198150160923758067225001024126950616733702013195617177626173288628749686098839775911149451780094637989497238321891526454906826110706009093167517184028534176444149524606075337187880543505783216513421353425615602271702623888743314663649570653900630435843208191194809168237815390200637517502603809601280672275824416512310644189058004674581088998809087287254115584498251922993206739606227547235463652765687740541851647350475097397709626273377398842906792245061376778794849999988051457998217803839604472104453381639705147806143915550566702131436253369556855819703703834017839158532753755272249258327980441389968825293892090793643711308628269026048929836530932896945563350887199788372300781300742221003468204228471047623318592025038150018860771123486216942845631528441468660193255247601474778821331192409220983171376622410246582463302708410573089970090601351172088174505309408389660261341227347076417928820970310925953131281159145234429324951405416151300955959289175996526454160480304212438597708476173641150752224806314957872149205584355706307198300896384575665973422317626264271745142773965136972183798353213404973770131869715607199790070577962126806424695084865613486399411843006043463043180876110068150266904487060049278249903940800729676128155908808088671149149625409261429741151259721003377813008429646298277720869587781705150610698901024476383282022440230283041918462827495461475629270665656607250523401467394532790692517865604697058111283653159604299248603084945225541465435879268168294582462578111629405304656989920071504790510383046746006082897076211794098025854513859218877069301740804529879920605958293993900050936789308540498834580863700580731740380014138038537550114709579917547364310584696712187913986043148467588781826426753805341094816155728510135236488620485466229655189384951016377728425275671360629396770683028713793756680423447512939913522564647271079907637771240619439485679845426884816676613834281166584875052120799329444042402544819402755292948693258935117795907175314605468120579191620802590193201704895237307503022977495941560632801261721614559429599499308559613613294364269864402442046660566807540963180860163760162442824927745505674655318295960988887400327218906950256673968815545733601641787204604922607563146335691097719321004642913152033436963987748592242513443447466864932971910713623101763090477291217851445055520302780828014462553170494736447087261016418083767791328114539529475596029646282523964950028212466302622442600407859804433510419883182410320698302586909323568439821831778835001122037120890303906484675417415578999853746984493865478001643488389616915359496111264679504455522677341284964620288910482559625777384711123180264329890623684523041727171875132581671173418117876264642762006233196016122500019813713205754366365953913645344221722604700811426283578070825950397142699779383976125922487819623179596589725861642738436654673255520175825578189550248448530603311064434905546274024523696476454602313496972015484909320736625775923553042577817957067102357802434859329295012361909075477876743208954385264067879656398414331651168335421584479812265700323286391299705846306193641309047625015768616888589303984934006788096087362887565821236097684899050202853994469982460171461370897554655207115816565115526530473585469319912171242794480616895567930866519595978665413872500411415494058784935391043162038043909629907791891845264638151281165789889327761722413054378184057197352855348484436864943624840868357434114549836411765057904030564249993100255284386074705589363461772396458615897738240497628805712062202867252609231532557525084822114039780206935795251406378415155708498275779759573091842}
30531 1425353497874247521665626053428318685677784320491711592890999504108028225516246818604038: {61058,1007061,1495333,1739013,2136190,2563428,2593265,2836221,3051700,3111918,3384501,3662040,3691589,3906176,4119795,4394448,4422065,4943754,5306478,5393013,5552638,5575461,6616981,7216413,7715741,7932340,8813633,8855421,8987765,9219381,9396772,9452830,9518808,9726629,10708659,10785318,11007973,11343396,11921981,12380158,12490701,12672213,13233094,13423960,15065518,15101955,16108752,16478421,17685940,17762261,18122346,18234814,18904420,19640068,19698478,20659933,20816465,21223128,22014502,22424115,22607998,22685304,23338941,23780669,23876019,23919056,24343133,24419013,24758692,24893173,24979758,25495492,25520967,26695375,26908938,26959348,27160565,28057240,28730381,28730661,29280709,29514190,29791949,29985621,30858916,31118878,31418421,31564395,32034450,32297140,32492013,32592678,33207261,33373333,33668688,34170080,35172213,35249908,35291345,35369560,35417028,36467236,36956013,37233118,37847013,37877274,38136250,38441340,38756568,38895665,38915421,39394372,39627213,39790755,41004096,41227341,41319293,42349614,42443472,42938141,43601139,43790549,44455540,44545678,44772301,44953413,45213028,45623512,45763500,46129608,46674798,46800113,47470702,47676190,47748906,48814400,49783078,50175541,51140013,51184769,51326451,51858238,51895809,53042158,53346648,53958381,54486141,54783262,54916200,55737094,57211428,57389941,57750341,57999021,58557574,58577280,58616465,59226261,59610421,59741429,59907421,60014979,60254168,60532612,60627381,60841515,61713784,61780725,61852101,62482432,62657429,62964613,63009892,63425013,63960430,64590040,64897616,65709941,65899440,66042213,66192301,67785939,68654013,68856301,69428007,70187765,70218501,70292736,70339758,70408078,70495192,70580782,71211133,71962565,72301461,72430375,72663795,73009818,73612589,73640595,74136870,74461348,75428533,75641621,75803621,75834052,76212003,76284141,76457013,76752516,76884094,77309895,77508048,78435253,78549968,78874701,79079328,79307091,79624420,79810021,81985630,82463888,82492413,83132101,83524101,83572709,84039621,84225318,84479878,84912454,84947572,85582030,86155133,86355078,86475160,86916450,87196554,87667375,87813501,88327221,88368714,88713541,88964244,89085508,89232881,89324014,89631365,89763652,90728575,91205821,91353862,91421821,91582491,92710880,92771874,94560430,94935172,95549304,95595555,95966758,96347301,96658565,96888718,97119358,97284555,97535345,98382756,98411765,98458781,98556261,99574413,99584753,...,46026641056864391890481977131179904629453406342610913961163553924712295233068296030765675314511654109372138151703276587888123876861163557043447854059411591083350741081646034422449145009010812097982604986982910286501504613882669468359713839842712421754592502487099559766731820955004578399149137432922609696067232740374913903363106096302977355026871827315813354063349422267541995428911590021418134035085945450594447507025498442086832026164531806457319836472216273003200371273801484161660709534743987092066336094268253778657650645249065174473271081300950413736831485308240419375544877558116112393843027945942439098704285667573466978040854713645252982488323973145203490530701677822235110036138472348139461100076363742704282589232326852315393551152117581193846428478705716936227804164310730288279491651062427320295014954167629661023758683187059526169735266584698000124781619273224110932487189737089002887087914030162357330619912316725067945654887368311877025763283743573432016177196765852557608447125989795235086641078170963617916137292918401107802053920988386655346883856321470312407239123183236306271664198699198065345874803320512159377885932828707165589454774790340808958535857190294657238526076273363982121082279994749620174759758664352678797225241385637100837501536190425925100553019793425766439259932943124529148259663866724177670141956984245857482837289682360239166059013639751275776042801264666224286909113005781820815258674824770132030138423403407553935833114971995474355980850945653764812286792213752356723085300956276253905714401921008413736624768465966283587007011871633498213630930881173376747377884489810109409341320853195479148531610812777471025712646096564439410066098264360188367592065168192274999982077186997326705759406708156680072459557721709215873325850053197154380054335283729555555751026758737799130632908373887491970662084953237940838136190465566962942403539073394754796399345418345026330799682558451171951113331505202306342706571434977888037557225028291156685229325414268447292662202990289882871402212168231996788613831474757064933615369873694954062615859634955135902026758132261757964112584490392011841020614626893231455466388929696921738717851643987427108124226951433938933763994789681240720456318657896562714260461726128337209472436808223808376533559460797451344576863498960133476439396407617714160947705458275697529820107460655197804573410799685105866943190209637042627298420229599117764509065194564771314165102225400356730590073917374855911201094514192233863212133006723724438113892144611726889581505066719512644469447416581304381672557725916048351536714574923033660345424562877694241243192213443905998484910875785102201091799186038776798407045587166925479739406448872904627417838312198153818902252441873693867167444107956985484880107257185765574570119009124345614317691147038781770788828315603952611206794819880908937440990850076405183962810748251871295550871097610570021207057806325172064369876321046465877045068281870979064722701383172739640130708011642224233592765202854732930728199344482784077426524566592637913507040944095156024543070690635020635171269409870283846970906619861456656860929159228519768140327225014920751421749877312578181198994166063603817229104132939423039888402676693860762971908202180868787431203885289802557342855961254534466243912340949201892582421839144399248962839420419941546404796603663069990850211311444771290245640243664237391618258511982977443941483331100490828360425385010953223318600402462680806907383911344719503536646578981506964369728050155445981622888363770165171200297399457866070434652644635715936826777167583280454171242021693829755742104670630891524627125651686992171809294213394044469423785947425042318699453933663900611789706650265629824773615481047453880363985352659732747668252501683055681335455859727013126123368499780620476740798217002465232584425373039244166897019256683284016011927446930433365723839438666077066684770396494835935526784562590757812698872506760127176814396964143009349794024183750029720569808631549548930870468016332583907051217139425367106238925595714049669075964188883731729434769394884588792464107654982009883280263738367284325372672795904966596652358319411036785544714681903470245458023227363981104938663885329563866726935600653536703652288993942518542863613216815114813431577896101819484597621497476752503132376719718398550484929586949558769459290461963571437523652925332883955977401010182144131044331348731854146527348575304280991704973690257192056346331982810673724847673289795710378203979868256864191720925343351896299779393967998120808750617123241088177403086564743057065864444861687837767896957226921748684833991642583619581567276085796029283022726655297415437261302536151171824754617647586856045846374989650382926579112058384045192658594687923846607360746443208568093304300878913847298836287627233171059670310403692877109567622733562747413669639359637763}
30532 1429744002010678003278525624393517541391555301281054827668069453789544143486974455997754: {91587,701707,793442,1250131,1342748,2256482,2318684,2527267,3073531,3204285,3417904,3717218,3781628,3814625,3845142,4149224,4512668,4577550,4667877,4882720,5493060,5795131,5859264,6267962,6591672,7075304,7190684,7240027,7415631,7433948,7722362,7959717,7960747,8328957,8448698,9621884,9899642,9915425,11745965,11807228,11898510,12292508,12617347,12691744,12794618,13329427,13516922,13862731,14095158,14179245,14278212,14380424,15104587,15124528,15635731,16177977,16400378,16654268,16760162,16779950,16896284,17015094,18556922,18570237,19510987,19686307,19849641,20135940,20929174,21066338,21478336,21971228,22107425,22133227,22598277,23003707,23630525,23925602,24045907,24163128,24550085,25351778,25604347,26064002,26419898,26528910,27183519,27352221,28297504,28356630,29460102,29547717,29898820,30247072,30415531,30927667,30948365,31118588,31834692,31869365,32448098,32460187,32558684,32630107,32801402,33021753,33306344,33699185,33911997,34027956,34213178,35001427,35071550,35878584,36013387,36678242,37138038,37469637,37694227,38029531,38243238,38307548,38573645,39920573,39980828,40363407,40371425,40439022,41034307,41891228,42085860,42712600,43322684,43333562,43456904,43520467,43850731,44062385,44180707,44211950,44271285,44276348,44891584,45004387,45497731,45584045,45772418,45826267,46288374,46678317,46896284,47222704,47971781,48051675,48445710,48889017,49242965,49274684,50462684,50503032,50974778,51255120,51675424,51887228,52722397,52836284,52874862,53054340,53125542,53624731,53999561,54106627,54425018,54427531,54672128,54700854,54748147,54969788,55569425,55849677,56346907,56466152,56516285,56591296,56785414,56815911,57029390,57204375,57662010,58097227,58134852,58889947,59091558,59680867,59937884,60469987,61018000,61506144,61683293,62233064,62669947,62724101,63452227,63524421,63665208,64009082,64349282,66253531,66387458,66683310,66818517,66993121,67027531,67819542,68108107,68186684,68435268,68645250,68731222,69194412,70012197,70098809,70870531,71128864,71206053,71328667,71514285,71623359,71944508,72090787,72155902,72395131,72648188,73221600,74123621,74674617,74824058,75317710,75665765,75874387,76175131,76281904,76475587,77142230,77170178,77332028,77375227,77787357,78103040,78719827,78762365,78968348,79563237,79612987,80019972,80737550,80836508,81122020,81183014,81508538,82174893,82374300,82469468,83159707,83170658,83605641,84497762,84566684,84625267,85491578,85817142,87534787,87836361,87865920,88056284,88118990,88690531,89222518,90381252,90798918,91538684,91987627,92412002,92570676,93067778,93076685,93624668,93722978,93723648,93786344,94345342,94514838,94792565,95528227,95940645,96011642,96401948,96511531,96885060,97346424,97642082,98187460,98606731,98849160,99268922,99530525,99717547,...,61368854742485855853975969508239872839271208456814551948218071899616393644091061374354233752682205479162850868937702117184165169148218076057930472079215454777800988108861379229932193345347749463976806649310547048668672818510225957812951786456949895672790003316132746355642427940006104532198849910563479594756310320499885204484141461737303140035829103087751138751132563023389327238548786695224178713447927267459263342700664589449109368219375741943093115296288364004267161698401978882214279379658649456088448125691005038210200860332086899297694775067933884982441980410987225834059836744154816525124037261256585464939047556764622637387806284860337309984431964193604654040935570429646813381517963130852614800101818323605710118976435803087191401536156774925128571304940955914970405552414307051039322201416569760393353272223506214698344910916079368226313688779597333499708825697632147909982919649452003849450552040216476440826549755633423927539849824415836034351044991431242688236262354470076811262834653060313448854770894618157221516390557868143736071894651182207129178475095293749876318830910981741695552264932264087127833071094016212503847910438276220785939699720454411944714476253726209651368101697818642828109706659666160233013011552470238396300321847516134450002048253901233467404026391234355252346577257499372197679551822298903560189275978994476643783052909813652221412018186335034368057068352888299049212150674375761087011566433026842706851231204543405247777486629327299141307801260871686416382389618336475630780401275035005207619202561344551648833024621288378116009349162177997618174574508231168996503845986413479212455094470927305531375481083703294700950194795419252546754797685813584490122753557589699999976102915996435607679208944208906763279410295612287831101133404262872506739113711639407407668035678317065507510544498516655960882779937650587784181587287422617256538052097859673061865793891126701774399576744601562601484442006936408456942095246637184050076300037721542246972433885691263056882937320386510495202949557642662384818441966342753244820493164926605416821146179940181202702344176349010618816779320522682454694152835857641940621851906262562318290468858649902810832302601911918578351993052908320960608424877195416952347282301504449612629915744298411168711412614396601792769151331946844635252528543490285547930273944367596706426809947540263739431214399580141155924253612849390169731226972798823686012086926086361752220136300533808974120098556499807881601459352256311817616177342298299250818522859482302519442006755626016859292596555441739175563410301221397802048952766564044880460566083836925654990922951258541331313214501046802934789065581385035731209394116222567306319208598497206169890451082930871758536336589164925156223258810609313979840143009581020766093492012165794152423588196051709027718437754138603481609059759841211916587987800101873578617080997669161727401161463480760028276077075100229419159835094728621169393424375827972086296935177563652853507610682189632311457020270472977240970932459310378769902032755456850551342721258793541366057427587513360846895025879827045129294542159815275542481238878971359690853769633353227668562333169750104241598658888084805089638805510585897386517870235591814350629210936241158383241605180386403409790474615006045954991883121265602523443229118859198998617119227226588728539728804884093321133615081926361720327520324885649855491011349310636591921977774800654437813900513347937631091467203283574409209845215126292671382195438642009285826304066873927975497184485026886894933729865943821427246203526180954582435702890111040605561656028925106340989472894174522032836167535582656229079058951192059292565047929900056424932605244885200815719608867020839766364820641396605173818647136879643663557670002244074241780607812969350834831157999707493968987730956003286976779233830718992222529359008911045354682569929240577820965119251554769422246360528659781247369046083454343750265163342346836235752529285524012466392032245000039627426411508732731907827290688443445209401622852567156141651900794285399558767952251844975639246359193179451723285476873309346511040351651156379100496897061206622128869811092548049047392952909204626993944030969818641473251551847106085155635914134204715604869718658590024723818150955753486417908770528135759312796828663302336670843168959624531400646572782599411692612387282618095250031537233777178607969868013576192174725775131642472195369798100405707988939964920342922741795109310414231633130231053060947170938639824342485588961233791135861733039191957330827745000822830988117569870782086324076087819259815583783690529276302562331579778655523444826108756368114394705710696968873729887249681736714868229099672823530115808061128499986200510568772149411178726923544792917231795476480995257611424124405734505218463065115050169644228079560413871590502812756830311416996551559519146183684}
30533 1434147951999588980754180278349653577115868300829029052758933096225666217722874971802506: {122116,1190163,1678435,2014122,2898355,2990666,3384723,3478026,3630571,4272380,4362787,4727035,5126856,5186530,5575827,5640835,5672442,5767713,6103400,6190891,6223836,6769002,6866325,7324080,7383178,7812352,8239590,8788896,8844130,8988355,9118603,9292435,9401943,9727267,9850531,9887508,10397431,10612956,10786026,11105276,11150922,11495107,11583543,11922763,12027355,12582871,12673047,13233962,13324567,14432826,14759035,14849463,15365635,15431482,15864680,17627266,17710842,17763427,17847765,17975530,18438762,18793544,18905660,19037616,19191927,19453258,20275383,20817835,20991763,21120355,21142737,21417318,21570636,22015946,22686792,23843962,24344731,24450547,24600567,24760316,24981402,25140243,25169925,25344426,25522641,26466188,26847920,27207031,27464035,27835383,28104427,28732267,29143051,30131036,30131863,30203910,31393761,31599507,32217504,32691091,32956842,34681411,35208667,35371880,35524522,35888403,36244692,36469628,37373525,37808840,38024791,38027667,38898235,39096003,39280136,39396956,39629847,39793365,40698355,41319866,41632930,42446256,42534945,42719947,43793431,44029004,44190153,44848230,45215996,45370608,46036051,46677882,47561338,47752038,47838112,47884435,47989687,48672147,48686266,48838026,49202103,49407883,49517384,49786346,49959516,49976035,50027707,50990984,51041934,51319767,51752467,52364035,52607325,52950811,53390750,53681587,53817876,53918696,54153355,54321130,54453931,55017363,55293127,55345435,55707057,56114480,57364857,57460762,57461322,58085143,58404163,58561418,58620355,59028380,59583898,59971242,60408931,60658533,61593355,61717832,62237756,62836842,63078355,63128790,64068900,64422427,64594280,64859035,64984026,65000343,65185356,65609851,66045355,66317925,66377047,66414522,66746666,66978631,67337376,68250403,68340160,68658627,68712235,69432561,70344426,70499816,70582690,70603507,70739120,70834056,72668565,72934472,73912026,74466236,74821783,74922355,75694026,75754548,76107931,76272500,76308067,76462167,76882680,76919611,77203447,77513136,77657203,77791330,77830842,78788744,79254426,79312293,79581510,79688313,81637527,82008192,82051281,82063051,82454682,82638586,83578231,84374071,84699228,84886944,85178121,85233355,85469443,85544085,85876282,86493015,87202278,87539287,87581098,88637337,88911080,89050387,89091356,89394643,89518627,89544602,89906826,89930635,90426056,90810235,91247024,91527000,92259216,93349596,93474931,93600226,94941404,95352380,95497812,96013623,96291031,96523923,96665035,97628800,98262871,98710435,98767747,99489763,99566156,99581187,99591307,99730867,...,92053282113728783780963954262359809258906812685221827922327107849424590466136592061531350629023308218744276303406553175776247753722327114086895708118823182166701482163292068844898290018021624195965209973965820573003009227765338936719427679685424843509185004974199119533463641910009156798298274865845219392134465480749827806726212192605954710053743654631626708126698844535083990857823180042836268070171890901188895014050996884173664052329063612914639672944432546006400742547602968323321419069487974184132672188536507557315301290498130348946542162601900827473662970616480838751089755116232224787686055891884878197408571335146933956081709427290505964976647946290406981061403355644470220072276944696278922200152727485408565178464653704630787102304235162387692856957411433872455608328621460576558983302124854640590029908335259322047517366374119052339470533169396000249563238546448221864974379474178005774175828060324714661239824633450135891309774736623754051526567487146864032354393531705115216894251979590470173282156341927235832274585836802215604107841976773310693767712642940624814478246366472612543328397398396130691749606641024318755771865657414331178909549580681617917071714380589314477052152546727964242164559989499240349519517328705357594450482771274201675003072380851850201106039586851532878519865886249058296519327733448355340283913968491714965674579364720478332118027279502551552085602529332448573818226011563641630517349649540264060276846806815107871666229943990948711961701891307529624573584427504713446170601912552507811428803842016827473249536931932567174014023743266996427261861762346753494755768979620218818682641706390958297063221625554942051425292193128878820132196528720376735184130336384549999964154373994653411518813416313360144919115443418431746651700106394308760108670567459111111502053517475598261265816747774983941324169906475881676272380931133925884807078146789509592798690836690052661599365116902343902226663010404612685413142869955776075114450056582313370458650828536894585324405980579765742804424336463993577227662949514129867230739747389908125231719269910271804053516264523515928225168980784023682041229253786462910932777859393843477435703287974854216248453902867877867527989579362481440912637315793125428520923452256674418944873616447616753067118921594902689153726997920266952878792815235428321895410916551395059640214921310395609146821599370211733886380419274085254596840459198235529018130389129542628330204450800713461180147834749711822402189028384467726424266013447448876227784289223453779163010133439025288938894833162608763345115451832096703073429149846067320690849125755388482486384426887811996969821751570204402183598372077553596814091174333850959478812897745809254835676624396307637804504883747387734334888215913970969760214514371531149140238018248691228635382294077563541577656631207905222413589639761817874881981700152810367925621496503742591101742195221140042414115612650344128739752642092931754090136563741958129445402766345479280261416023284448467185530405709465861456398688965568154853049133185275827014081888190312049086141381270041270342538819740567693941813239722913313721858318457039536280654450029841502843499754625156362397988332127207634458208265878846079776805353387721525943816404361737574862407770579605114685711922509068932487824681898403785164843678288798497925678840839883092809593207326139981700422622889542580491280487328474783236517023965954887882966662200981656720850770021906446637200804925361613814767822689439007073293157963013928739456100310891963245776727540330342400594798915732140869305289271431873653554335166560908342484043387659511484209341261783049254251303373984343618588426788088938847571894850084637398907867327801223579413300531259649547230962094907760727970705319465495336505003366111362670911719454026252246736999561240953481596434004930465168850746078488333794038513366568032023854893860866731447678877332154133369540792989671871053569125181515625397745013520254353628793928286018699588048367500059441139617263099097861740936032665167814102434278850734212477851191428099338151928377767463458869538789769177584928215309964019766560527476734568650745345591809933193304716638822073571089429363806940490916046454727962209877327770659127733453871201307073407304577987885037085727226433630229626863155792203638969195242994953505006264753439436797100969859173899117538918580923927142875047305850665767911954802020364288262088662697463708293054697150608561983409947380514384112692663965621347449695346579591420756407959736513728383441850686703792599558787935996241617501234246482176354806173129486114131728889723375675535793914453843497369667983285167239163134552171592058566045453310594830874522605072302343649509235295173712091692749979300765853158224116768090385317189375847693214721492886417136186608601757827694597672575254466342119340620807385754219135245467125494827339278719275526}
30534 1438565388780470070624407552675505043774620156180323955925629357321019118157239590434976: {152645,183174,518789,1128389,1250213,1311113,1403414,1586884,2041289,2500262,2685496,3021183,3134393,3255689,3982793,4485999,4512964,4637368,5054534,5071289,5217039,5340475,5855813,6147062,6398153,6408570,6835808,6879689,7300613,7434436,7563256,7629250,7690284,7779795,7961273,8298448,8501093,8508663,8860613,9025336,9155100,9335754,9399353,9765440,9997193,10153503,10176389,10474889,10653893,10986120,11074767,11250053,11590262,11718528,11964389,12083333,12359385,12535924,12677573,12974393,13183344,13266195,13330313,13881595,13922873,14150608,14381368,14480054,14632889,14831262,14867896,15444724,15636773,15695753,15919434,15921494,16179039,16444351,16657914,16726383,16897396,17578889,18165689,18341573,18458789,19243768,19512293,19746053,19799284,19830850,19850943,20388233,20912933,21649239,23005253,23147223,23491930,23614456,23632075,23797020,24105353,24585016,25234694,25383488,25589236,25606073,26440899,26566263,26658854,26963295,27033844,27658143,27725462,28018889,28190316,28190693,28358490,28556424,28591289,28760848,29179887,29448389,30209174,30249056,30474533,30950395,30986633,31270853,31271462,32122313,32125977,32292389,32355954,32800756,33023919,33028553,33082735,33308536,33520324,33559900,33792568,33819833,34030188,34370119,34384073,34834889,35228933,35765943,35847353,36071993,36240389,37113844,37140474,37472103,37529033,37663795,37752713,38016639,38087993,38757689,39021974,39372614,39699282,39704453,39871289,40260293,40271880,41701733,41858348,42132676,42751673,42956672,43327711,43853753,43942456,44214850,44266454,44617111,45196554,45305865,45587035,46007414,46321733,46485689,46649573,47178859,47261050,47851204,48012473,48091814,48121289,48326256,48936389,49100170,49246195,49435263,49587173,50128613,50703556,51208694,51263033,52017353,52128004,52340153,52555193,52839796,52984889,53057820,53286783,53628473,53682053,53789189,54003103,54367038,54591689,54704442,54751973,55036255,55232393,56519995,56595008,56693923,56713260,56722889,56882213,56988389,57518789,58920204,59095434,59368889,59797640,60494144,60526793,60789413,60831062,61687339,61855334,61896730,61979799,62237176,62449395,63300389,63665033,63669384,63738730,63817663,64896196,64920374,65117368,65260214,65602804,65792933,66043506,66258233,66612688,66774473,67083833,67272345,67398370,67804553,67823994,68055912,68112953,68426356,68472389,68728889,68940151,69497189,70002854,70016823,70103407,70143100,70161593,71342007,71384633,71628057,71757168,72026774,72400313,72451013,73029399,73058789,73257039,73356484,73463333,73785475,74128483,74276076,74679519,74724233,74824889,74939274,75327689,75388454,75428153,75929993,76059062,76180613,76486476,76562901,76615096,76831289,77147290,77430713,77580389,77680133,77797195,78476933,78576389,78725513,79122799,79172453,79816889,79841146,79961656,80086125,80212793,80558789,80726814,80742850,80878044,81446693,81481695,82068614,82844047,83782456,84171720,85425200,85944389,86191143,86191983,86645368,86667124,86671289,86913808,87040934,87600643,87701462,87842127,88124770,88361414,88423900,88542570,88552696,88697033,88745093,88841189,89375847,89783168,89956863,90008774,90422153,90899513,90995462,91168090,91544836,91652534,92041913,92421689,92576748,93082795,93356634,93605189,93699653,93792568,93841289,94255263,94407113,94445408,94693185,95018789,95340625,95582213,95722889,95943562,96103350,96518693,96565433,96891420,97125689,97265573,97476039,97684793,97778034,97963913,98485930,98549368,98614073,98660453,99308933,99621783,...,138079923170593175671445931393539713888360219027832741883490661774136885699204888092297025943534962328116414455109829763664371630583490671130343562178234773250052223244938103267347435027032436293947814960948730859504513841648008405079141519528137265263777507461298679300195462865013735197447412298767829088201698221124741710089318288908932065080615481947440062190048266802625986286734770064254402105257836351783342521076495326260496078493595419371959509416648819009601113821404452484982128604231961276199008282804761335972951935747195523419813243902851241210494455924721258126634632674348337181529083837827317296112857002720400934122564140935758947464971919435610471592105033466705330108415417044418383300229091228112847767696980556946180653456352743581539285436117150808683412492932190864838474953187281960885044862502888983071276049561178578509205799754094000374344857819672332797461569211267008661263742090487071991859736950175203836964662104935631077289851230720296048531590297557672825341377969385705259923234512890853748411878755203323406161762965159966040651568964410937221717369549708918814992596097594196037624409961536478133657798486121496768364324371022426875607571570883971715578228820091946363246839984248860524279275993058036391675724156911302512504608571277775301659059380277299317779798829373587444778991600172533010425870952737572448511869047080717498177040919253827328128403793998672860727339017345462445776024474310396090415270210222661807499344915986423067942552836961294436860376641257070169255902868828761717143205763025241209874305397898850761021035614900494640892792643520130242133653469430328228023962559586437445594832438332413077137938289693318230198294793080565102776195504576824999946231560991980117278220124470040217378673165127647619977550159591463140163005851188666667253080276213397391898725121662475911986254859713822514408571396700888827210617220184264389198036255035078992399047675353515853339994515606919028119714304933664112671675084873470055687976242805341877986608970869648614206636504695990365841494424271194800846109621084862187847578904865407706080274396785273892337753471176035523061843880679694366399166789090765216153554931962281324372680854301816801291984369043722161368955973689688142781385178385011628417310424671425129600678382392354033730590496880400429318189222853142482843116374827092589460322381965593413720232399055317600829570628911127881895260688797353293527195583694313942495306676201070191770221752124567733603283542576701589636399020171173314341676433835180668744515200158537933408342249743913145017673177748145054610143724769100981036273688633082723729576640331717995454732627355306603275397558116330395221136761500776439218219346618713882253514936594461456706757325621081601502332323870956454640321771557296723710357027373036842953073441116345312366484946811857833620384459642726812322972550229215551888432244755613886652613292831710063621173418975516193109628963139397631135204845612937194168104149518218920392124034926672700778295608564198792184598033448352232279573699777913740521122832285468073629212071905061905513808229610851540912719859584369970582787477685559304420981675044762254265249631937734543596982498190811451687312398818269119665208030081582288915724606542606362293611655869407672028567883763603398731737022847605677747265517433197746888518261259824639214389810989209972550633934334313870736920730992712174854775535948932331824449993301472485081276155032859669955801207388042420722151734034158510609939736944520893109184150466337944868665091310495513600892198373598211303957933907147810480331502749841362513726065081489267226314011892674573881376955060976515427882640182133408271357842275126956098361800991701835369119950796889474320846443142361641091956057979198243004757505049167044006367579181039378370105499341861430222394651007395697753276119117732500691057770049852048035782340791300097171518315998231200054311189484507806580353687772273438096617520280381530443190892429028049382072551250089161709425894648646792611404048997751721153651418276101318716776787142149007227892566651195188304308184653766377392322964946029649840791215101852976118018387714899789957074958233110356634144045710410736374069682091943314815991655988691600180806801960610110956866981827555628590839650445344440294733688305458453792864492430257509397130159155195651454788760848676308377871385890714312570958775998651867932203030546432393132994046195562439582045725912842975114921070771576169038995948432021174543019869387131134611939604770592575162776030055688899338181903994362426251851369723264532209259694229171197593334585063513303690871680765246054501974927750858744701828257388087849068179965892246311783907608453515474263852942760568137539124968951148779737336175152135577975784063771539822082239329625704279912902636741541896508862881699513179010931211078631328702868200688242241008918078913289}
30535 1442996353416740387389712737489623996225225797309181533814574028609659793422923186449739: {244232,274761,1983605,2105121,2349809,2380326,3356870,3750393,4028244,4057697,5156021,5641205,5796710,5981332,6617849,6769446,6956052,7261142,7581801,7897169,8544760,8725574,9220593,9293045,9454070,9612855,10253712,10373060,10398113,11009417,11151654,11281670,11344884,11443875,11495861,11535426,12206800,12287873,12381782,12447672,12583697,13009409,13325441,13538004,13732650,14003631,14648160,14766356,15624704,15669905,16479180,16838297,17385393,17577792,17688260,17976710,18237206,18584870,18803886,19305905,19454534,19701062,19775016,20662649,20794862,20993141,21121745,21225912,21511889,21572052,21720081,22210552,22246893,22301844,22990214,23167086,23845526,23879151,23882241,24054710,24749105,24986871,25165742,25346094,26467924,26649134,27208817,28865652,28896101,29144969,29518070,29568497,29698926,29746275,30133841,30731270,30862964,31729360,31986545,32465609,32693237,33792305,34945649,35237895,35254532,35421684,35526854,35695530,35951060,36877524,37587088,37811320,37852041,38075232,38383854,38449649,38761577,38906516,39988281,40550766,41000945,41588193,41635670,41900405,41949875,41983526,42240710,42285474,42537735,42834636,43141272,44031892,45313761,45373584,46392305,46907193,47687924,48533931,48689462,48901094,49201134,49520632,49962804,50280486,50339850,50688852,51045282,51452057,51755873,52322935,52443809,52665845,52932376,53695840,54414062,54457529,54928070,55670766,55710711,56208854,56300201,56977697,57464534,58286102,58532961,59058921,59548923,59814005,60262072,60263726,60407820,62787522,63199014,63379445,64435008,65160005,65275241,65382182,65614169,65913684,66049745,66322275,66399681,67038209,67794831,68865353,69011121,69362822,69708257,69966449,70356473,70417334,70743760,70891575,71049044,71392373,71776806,72137721,72489384,72939256,73309649,73328657,73650255,74747050,75438449,75617680,75814697,76049582,76055334,76220321,76813041,77483609,77796470,77952089,78192006,78445601,78560272,78793912,79259694,79586730,79820513,79931729,81120245,81396710,81550557,82003505,82056663,82068497,82639732,83265860,83582969,84892512,85069890,85439894,85532945,85968977,86230697,87234209,87586862,87678875,88058008,88309697,88380306,88643151,89696460,90182261,90184193,90431992,90741216,90802649,90813761,91246593,91695605,92072102,92463497,92783001,92845095,93355764,94140233,95122676,95191793,95504076,95608095,95676224,95768870,95979374,96197129,97344294,97372532,97380561,97676052,97890321,98404206,98774273,98815766,99034768,99065259,99572692,99919032,99952070,...,184106564227457567561927908524719618517813625370443655844654215698849180932273184123062701258046616437488552606813106351552495507444654228173791416237646364333402964326584137689796580036043248391930419947931641146006018455530677873438855359370849687018370009948398239066927283820018313596596549731690438784268930961499655613452424385211909420107487309263253416253397689070167981715646360085672536140343781802377790028101993768347328104658127225829279345888865092012801485095205936646642838138975948368265344377073015114630602580996260697893084325203801654947325941232961677502179510232464449575372111783769756394817142670293867912163418854581011929953295892580813962122806711288940440144553889392557844400305454970817130356929307409261574204608470324775385713914822867744911216657242921153117966604249709281180059816670518644095034732748238104678941066338792000499126477092896443729948758948356011548351656120649429322479649266900271782619549473247508103053134974293728064708787063410230433788503959180940346564312683854471664549171673604431208215683953546621387535425285881249628956492732945225086656794796792261383499213282048637511543731314828662357819099161363235834143428761178628954104305093455928484329119978998480699039034657410715188900965542548403350006144761703700402212079173703065757039731772498116593038655466896710680567827936983429931349158729440956664236054559005103104171205058664897147636452023127283261034699299080528120553693613630215743332459887981897423923403782615059249147168855009426892341203825105015622857607684033654946499073863865134348028047486533992854523723524693506989511537959240437637365283412781916594126443251109884102850584386257757640264393057440753470368260672769099999928308747989306823037626832626720289838230886836863493303400212788617520217341134918222223004107034951196522531633495549967882648339812951763352544761862267851769614156293579019185597381673380105323198730233804687804453326020809225370826285739911552150228900113164626740917301657073789170648811961159531485608848672927987154455325899028259734461479494779816250463438539820543608107032529047031856450337961568047364082458507572925821865555718787686954871406575949708432496907805735755735055979158724962881825274631586250857041846904513348837889747232895233506134237843189805378307453995840533905757585630470856643790821833102790119280429842620791218293643198740423467772760838548170509193680918396471058036260778259085256660408901601426922360295669499423644804378056768935452848532026894897752455568578446907558326020266878050577877789666325217526690230903664193406146858299692134641381698251510776964972768853775623993939643503140408804367196744155107193628182348667701918957625795491618509671353248792615275609009767494775468669776431827941939520429028743062298280476036497382457270764588155127083155313262415810444827179279523635749763963400305620735851242993007485182203484390442280084828231225300688257479505284185863508180273127483916258890805532690958560522832046568896934371060811418931722912797377931136309706098266370551654028163776380624098172282762540082540685077639481135387883626479445826627443716636914079072561308900059683005686999509250312724795976664254415268916416531757692159553610706775443051887632808723475149724815541159210229371423845018137864975649363796807570329687356577596995851357681679766185619186414652279963400845245779085160982560974656949566473034047931909775765933324401963313441701540043812893274401609850723227629535645378878014146586315926027857478912200621783926491553455080660684801189597831464281738610578542863747307108670333121816684968086775319022968418682523566098508502606747968687237176853576177877695143789700169274797815734655602447158826601062519299094461924189815521455941410638930990673010006732222725341823438908052504493473999122481906963192868009860930337701492156976667588077026733136064047709787721733462895357754664308266739081585979343742107138250363031250795490027040508707257587856572037399176096735000118882279234526198195723481872065330335628204868557701468424955702382856198676303856755534926917739077579538355169856430619928039533121054953469137301490691183619866386609433277644147142178858727613880981832092909455924419754655541318255466907742402614146814609155975770074171454452867260459253726311584407277938390485989907010012529506878873594201939718347798235077837161847854285750094611701331535823909604040728576524177325394927416586109394301217123966819894761028768225385327931242694899390693159182841512815919473027456766883701373407585199117575871992483235002468492964352709612346258972228263457779446751351071587828907686994739335966570334478326269104343184117132090906621189661749045210144604687299018470590347424183385499958601531706316448233536180770634378751695386429442985772834272373217203515655389195345150508932684238681241614771508438270490934250989654678557438551052}
30536 1447440887096121521561795449894759496969478931648704925231032084068319419860906238819741: {213703,305290,366348,579823,1037578,1311199,2041423,2256778,2500426,2622226,2806828,3173768,3316543,3570489,4082578,5000524,5035305,5370992,6042366,6268786,6511378,6759799,6940303,7476665,7965586,8381743,8561599,8695065,8971998,9025928,9274736,9459799,10109068,10142578,10154169,10434078,10535263,10680950,10891713,11072023,11711626,11965183,12294124,12796306,12817140,12966325,13034599,13088361,13212583,13671616,13759378,14181105,14601226,14868872,15126512,15258500,15380568,15559590,15696799,15922546,16403983,16596896,16727481,16922505,17002186,17017326,17286343,17303139,17721226,18050672,18310200,18457945,18518623,18572673,18671508,18798706,19434233,19530880,19994386,20097799,20307006,20352778,20598975,20949778,21307786,21845599,21972240,22110325,22149534,22500106,23180524,23437056,23928778,24166666,24718770,25071848,25319599,25355146,25948786,26366688,26532390,26660626,26873503,26965065,27355809,27734263,27763190,27845746,27877305,28205829,28301216,28593223,28762736,28960108,29181801,29265778,29551593,29662524,29735792,29792743,30889448,31192293,31273546,31329799,31391506,31838868,31842988,32181199,32358078,32888702,33084905,33315828,33452766,33794792,33878599,34485321,34750629,35157778,35768289,36082065,36331378,36579463,36683146,36917578,37748613,38019141,38487536,38578705,38760343,39024586,39492106,39598568,39661700,39701886,39973701,40762663,40776466,41825866,42423343,43298478,43330553,44068165,44277105,44548389,44938825,46010506,46096905,46294446,46315829,46543543,46983860,47034943,47228912,47264150,47594040,47852503,48179023,48210706,48633145,48831199,48994063,49170032,49644799,50294383,50469388,50766976,51104743,51178472,51212146,51266599,52729313,52881798,53132526,53290281,53317708,53525023,53543295,53685799,53846503,53926590,54067688,55039865,55289599,55316286,55450924,56037778,56380632,56381386,56716980,56726863,57045463,57112848,57182578,57521696,57575781,58359774,58896778,59425783,59609905,60418348,60498112,60826149,60846199,60949066,61900790,61973266,62453505,62541706,62542924,62732329,62975289,63356983,63361065,63428211,63821849,64244626,64251954,64584778,64711908,65601512,66047838,66057106,66165470,66617072,67001909,67040648,67119800,67585136,67639666,68060376,68477263,68740238,68768146,68944673,69246223,69669778,70457866,71084383,71531886,71694706,72143986,72456199,72480778,73034193,73064023,73351641,73801701,74227688,74280948,74880583,74944206,75058066,75327590,75420729,75483799,75505426,75509775,75634423,76033278,76175986,76567923,77050757,77515378,77585983,77735599,78043948,78745228,79127993,79398564,79408906,79742578,80520586,80543760,81452599,81621093,82392105,82849481,83403466,83506149,83716696,83807863,84265352,84313281,84540103,84856453,85270543,85503346,85913344,86196801,86655422,86726023,87429153,87606389,87707506,87884912,88429700,88532908,88751599,88811305,88895743,89234222,90393108,90395589,90611730,91174070,92014828,92643466,92971378,93044599,93299146,93753799,93895423,94181283,94357718,94522100,94798521,95702408,96024946,96183628,96242578,96572599,96652512,96930889,97872778,97906601,97971199,98073273,98200340,98492390,98667799,98870526,99174346,99223783,...,276159846341186351342891862787079427776720438055665483766981323548273771398409776184594051887069924656232828910219659527328743261166981342260687124356469546500104446489876206534694870054064872587895629921897461719009027683296016810158283039056274530527555014922597358600390925730027470394894824597535658176403396442249483420178636577817864130161230963894880124380096533605251972573469540128508804210515672703566685042152990652520992156987190838743919018833297638019202227642808904969964257208463922552398016565609522671945903871494391046839626487805702482420988911849442516253269265348696674363058167675654634592225714005440801868245128281871517894929943838871220943184210066933410660216830834088836766600458182456225695535393961113892361306912705487163078570872234301617366824985864381729676949906374563921770089725005777966142552099122357157018411599508188000748689715639344665594923138422534017322527484180974143983719473900350407673929324209871262154579702461440592097063180595115345650682755938771410519846469025781707496823757510406646812323525930319932081303137928821874443434739099417837629985192195188392075248819923072956267315596972242993536728648742044853751215143141767943431156457640183892726493679968497721048558551986116072783351448313822605025009217142555550603318118760554598635559597658747174889557983200345066020851741905475144897023738094161434996354081838507654656256807587997345721454678034690924891552048948620792180830540420445323614998689831972846135885105673922588873720753282514140338511805737657523434286411526050482419748610795797701522042071229800989281785585287040260484267306938860656456047925119172874891189664876664826154275876579386636460396589586161130205552391009153649999892463121983960234556440248940080434757346330255295239955100319182926280326011702377333334506160552426794783797450243324951823972509719427645028817142793401777654421234440368528778396072510070157984798095350707031706679989031213838056239428609867328225343350169746940111375952485610683755973217941739297228413273009391980731682988848542389601692219242169724375695157809730815412160548793570547784675506942352071046123687761359388732798333578181530432307109863924562648745361708603633602583968738087444322737911947379376285562770356770023256834620849342850259201356764784708067461180993760800858636378445706284965686232749654185178920644763931186827440464798110635201659141257822255763790521377594706587054391167388627884990613352402140383540443504249135467206567085153403179272798040342346628683352867670361337489030400317075866816684499487826290035346355496290109220287449538201962072547377266165447459153280663435990909465254710613206550795116232660790442273523001552878436438693237427764507029873188922913413514651242163203004664647741912909280643543114593447420714054746073685906146882232690624732969893623715667240768919285453624645945100458431103776864489511227773305226585663420127242346837951032386219257926278795262270409691225874388336208299036437840784248069853345401556591217128397584369196066896704464559147399555827481042245664570936147258424143810123811027616459221703081825439719168739941165574955371118608841963350089524508530499263875469087193964996381622903374624797636538239330416060163164577831449213085212724587223311738815344057135767527206797463474045695211355494531034866395493777036522519649278428779621978419945101267868668627741473841461985424349709551071897864663648899986602944970162552310065719339911602414776084841444303468068317021219879473889041786218368300932675889737330182620991027201784396747196422607915867814295620960663005499682725027452130162978534452628023785349147762753910121953030855765280364266816542715684550253912196723601983403670738239901593778948641692886284723282183912115958396486009515010098334088012735158362078756740210998683722860444789302014791395506552238235465001382115540099704096071564681582600194343036631996462400108622378969015613160707375544546876193235040560763060886381784858056098764145102500178323418851789297293585222808097995503442307302836552202637433553574284298014455785133302390376608616369307532754784645929892059299681582430203705952236036775429799579914149916466220713268288091420821472748139364183886629631983311977383200361613603921220221913733963655111257181679300890688880589467376610916907585728984860515018794260318310391302909577521697352616755742771781428625141917551997303735864406061092864786265988092391124879164091451825685950229842141543152338077991896864042349086039738774262269223879209541185150325552060111377798676363807988724852503702739446529064418519388458342395186669170127026607381743361530492109003949855501717489403656514776175698136359931784492623567815216907030948527705885521136275078249937902297559474672350304271155951568127543079644164478659251408559825805273483083793017725763399026358021862422157262657405736401376484482017836157826578}
30537 1451899031131011633711579847705485500718252199533001550814246100573338020701104275858985: {457935,488464,549522,1556367,2777047,3385167,3508535,3750639,3933339,3967210,4210242,4699618,4760652,5705183,6123867,6250655,6713740,7500786,7897687,8056488,8115394,9063549,9403179,9728543,9767067,10312042,11282410,11593420,11924327,11948379,11962664,12288679,12636335,13010263,13235698,13457997,13538892,13912104,14522284,15032063,15163602,15213867,15367655,15651117,15794338,16021425,16129739,17089520,17451148,17567439,18441186,18586090,18908140,19073125,19194459,19225710,19773083,20507424,20639067,20746120,20796226,21901839,21937867,22018834,22303308,22563340,22689768,22887750,22991722,23070852,23339385,23883819,24413600,24575746,24763564,24895344,25167394,25503279,25525989,26018818,26581839,26650882,27028267,27076008,27450767,27465300,28007262,28198059,28975655,29296320,29532712,29570443,29991579,30460509,30529167,31249408,31339810,31424667,31961679,32934827,32958360,33224301,33676594,33750159,34648747,34770786,34947943,35155584,35376520,35893167,35953420,36200135,36225263,36249999,36474412,36751943,37078155,37169740,37607772,38032719,38368447,38611810,38909068,38923179,39402124,39550032,39798585,39803735,39990939,41325298,41589724,41644785,41768619,41986282,42243490,42451824,43023778,43144104,43440162,43898667,44421104,44493786,44603688,44781163,45796223,45980428,46042103,46334172,46910319,47087259,47309227,47691052,47758302,47764482,48109420,48537117,49333053,49498210,49577125,49973742,50179149,50331484,50692188,52098239,52736667,52935848,53298268,54417634,54497067,55024719,55376367,57401323,57731304,57792202,58092779,58289938,58536879,58660567,58675223,58729825,59036140,59136994,59238159,59397852,59492550,59552829,59753243,60267682,61164699,61462540,61725928,61979047,62738799,63086735,63458720,63973090,64931218,64947717,64949227,65386474,66647135,67584610,67676303,69015759,69313655,69441669,69891298,70475790,70509064,70843368,70896225,71053708,71391060,71902120,72316059,73252109,73333483,73732183,73755048,74515723,75174176,75522935,75622640,75704082,76150464,76767708,76818219,76899298,77523154,77640959,77813032,78178655,79322697,79698789,79976562,80889885,81101532,82001890,82183327,82974429,83148559,83176386,83271340,83739607,83800810,83899750,83967052,84056667,84385163,84481420,84570948,84572079,85075470,85480679,85570463,85669272,85773867,86282544,87122923,87539661,87660187,88063784,88345167,88731223,89250527,90627522,90747168,91224007,91423599,92327663,92469643,92784610,92851185,92959899,93812559,93814386,95375848,96366939,96377931,96877167,97067862,97076779,97378924,97554935,97802188,98402268,98431535,99041264,99071757,99085659,99248205,99925608,...,414239769511779527014337794180619141665080657083498225650471985322410657097614664276891077830604886984349243365329489290993114891750472013391030686534704319750156669734814309802042305081097308881843444882846192578513541524944025215237424558584411795791332522383896037900586388595041205592342236896303487264605094663374225130267954866726796195241846445842320186570144800407877958860204310192763206315773509055350027563229485978781488235480786258115878528249946457028803341464213357454946385812695883828597024848414284007918855807241586570259439731708553723631483367774163774379903898023045011544587251513481951888338571008161202802367692422807276842394915758306831414776315100400115990325246251133255149900687273684338543303090941670838541960369058230744617856308351452426050237478796572594515424859561845882655134587508666949213828148683535735527617399262282001123034573459016998392384707633801025983791226271461215975579210850525611510893986314806893231869553692160888145594770892673018476024133908157115779769703538672561245235636265609970218485288895479898121954706893232811665152108649126756444977788292782588112873229884609434400973395458364490305092973113067280626822714712651915146734686460275839089740519952746581572837827979174109175027172470733907537513825713833325904977178140831897953339396488120762334336974800517599031277612858212717345535607141242152494531122757761481984385211381996018582182017052036387337328073422931188271245810630667985422498034747959269203827658510883883310581129923771210507767708606486285151429617289075723629622916193696552283063106844701483922678377930560390726400960408290984684071887678759312336784497314997239231413814869079954690594884379241695308328586513730474999838694682975940351834660373410120652136019495382942859932650478774389420489017553566000001759240828640192175696175364987427735958764579141467543225714190102666481631851660552793167594108765105236977197143026060547560019983546820757084359142914800992338015025254620410167063928728416025633959826912608945842619909514087971097524483272813584402538328863254586563542736714596223118240823190355821677013260413528106569185531642039083099197500367272295648460664795886843973118042562905450403875953107131166484106867921069064428344155535155034885251931274014275388802035147177062101191771490641201287954567668559427448529349124481277768380967145896780241160697197165952802488711886733383645685782066392059880581586751082941827485920028603210575310665256373703200809850627730104768909197060513519943025029301505542006233545600475613800225026749231739435053019533244435163830431174307302943108821065899248171188729920995153986364197882065919809826192674348991185663410284502329317654658039856141646760544809783384370120271976863244804506996971612869363920965314671890171131071082119110528859220323349035937099454840435573500861153378928180436968917650687646655665296734266841659957839878495130190863520256926548579328886889418192893405614536838811582504312448554656761176372104780018102334886825692596376553794100345056696838721099333741221563368496856404220887636215715185716541424688832554622738159578753109911748362433056677913262945025134286762795748895813203630790947494572434355061937196454807358995624090244746866747173819627819086880834967608223016085703651290810196195211068542817033241796552299593240665554783779473917643169432967629917651901803002941612210762192978136524564326607846796995473349979904417455243828465098579009867403622164127262166455202102475531829819210833562679327552451399013834605995273931486540802676595120794633911873801721443431440994508249524087541178195244467801678942035678023721644130865182929546283647920546400224814073526825380868295085402975105506107359852390668422962539329427084923275868173937594729014272515147501132019102737543118135110316498025584290667183953022187093259828357353197502073173310149556144107347022373900291514554947994693600162933568453523419741061063316820314289852560841144591329572677287084148146217653750267485128277683945940377834212146993255163460954254828303956150330361426447021683677699953585564912924553961299132176968894838088949522373645305558928354055163144699369871224874699331069902432137131232209122209046275829944447974967966074800542420405881830332870600945482666885772518951336033320884201064916375361378593477290772528191390477465586954364366282546028925133614157672142937712876327995955603796609091639297179398982138586687318746137177738528925344763212314728507116987845296063523629059608161393403835818814311777725488328090167066698014545711983087278755554109169793596627779082687513592780003755190539911072615042295738163505924783252576234105484772164263547204539897676738935351722825360546422791558828281704412617374906853446339212008525456406733927352191314619466246717988877112839738707910224625689526588645098539537032793633235893986108604602064726723026754236739867}
30538 1456370826958860667842647010491359238141628770542668779349308466220916883765003931915739: {427406,610580,732696,824283,884761,1159646,1250377,1433077,2075156,2163157,2622398,2709961,3256117,4082846,4513556,4527961,5000852,5244452,5613656,5796277,5950815,5977177,6315363,6347536,6633086,7049427,7140978,8142361,8165156,8392175,10001048,10070610,10467331,10741984,11251179,12084732,12084937,12173091,12537572,12619861,13022756,13509961,13519598,13880606,14043157,14398261,14491775,14753077,14953330,15284761,15468063,15931172,16763486,16923615,17123198,17390130,17943996,18051856,18152855,18461257,18549472,18919598,19690261,19853547,20218136,20285156,20308338,20868156,20915737,21070526,21361900,21439861,21783426,21813935,22144046,22745403,23423252,23635175,23691507,23703577,23930366,24397657,24588248,25592612,25634280,25841123,25932650,26069198,26176722,26425166,27343232,27518756,27661779,27879135,28204175,28362210,28709557,28838565,29202452,29737744,30253024,30517000,30761136,30954455,31119180,31194339,31393598,31845092,32636761,32807966,33028251,33193792,33454962,33824437,33845010,34004372,34034652,34331625,34487583,34572686,34606278,35442452,36101344,36620400,36863619,36915890,37037246,37145346,37343016,37597412,37751091,38204917,38868466,39028227,39061760,39976323,39988772,40195598,40614012,40705556,41042761,41197950,41899556,42010893,42615572,43691198,43859797,43944480,44220650,44299068,44941775,45000212,45178261,45593015,46318867,46361048,46462175,46874112,47009715,47310937,47857556,48127957,48333332,48636335,49252655,49437540,49594057,50143696,50514891,50639198,50710292,51378037,51897572,51987155,52156179,52733376,53064780,53321252,53747006,53796697,53930130,54010187,54117961,54599317,54711618,55240117,55468526,55526380,55691492,55754610,56411658,56518261,56602432,56996377,57186446,57475535,57525472,57917715,57920216,58109461,58363602,58531556,59103186,59325048,59471584,59585486,59613815,59693461,60136775,60482761,61695431,61778896,61987947,62384586,62547092,62659598,62783012,62914355,62979423,63365235,63677736,63685976,64362398,64535667,64716156,65160243,65180761,65777404,66169810,66422617,66622835,66631656,66740679,66905532,67589584,67757198,68086403,68584777,68970642,69501258,70112603,70315556,71536578,71637453,71646723,72164130,72410677,72662756,73158926,73170457,73366292,73795175,73835156,74138207,74247315,74835637,74960613,75438997,75497226,75890761,76038282,76828175,76975072,77055811,77157410,77391961,77520686,77691337,78049172,78587737,78984212,79197136,79323400,79403772,79947402,80817397,81525326,81552932,81557017,81626451,82589461,82883797,83453867,83651732,84789961,84846686,84862019,86596956,86661106,86688303,87434907,87698761,88136330,88554210,88705491,88817135,88854217,89096778,89238825,89861461,89877650,90401523,91008277,91294261,92021012,92193810,92588892,92631658,93087086,93713497,93967720,94069886,94457824,94528300,95188080,95267797,95705006,95959635,95971417,96358046,96421412,96937247,97266290,97373257,97396827,97662398,97913023,97988126,98079711,98340064,98350261,98767897,99289598,...,552319692682372702685783725574158855553440876111330967533962647096547542796819552369188103774139849312465657820439319054657486522333962684521374248712939093000208892979752413069389740108129745175791259843794923438018055366592033620316566078112549061055110029845194717200781851460054940789789649195071316352806792884498966840357273155635728260322461927789760248760193067210503945146939080257017608421031345407133370084305981305041984313974381677487838037666595276038404455285617809939928514416927845104796033131219045343891807742988782093679252975611404964841977823698885032506538530697393348726116335351309269184451428010881603736490256563743035789859887677742441886368420133866821320433661668177673533200916364912451391070787922227784722613825410974326157141744468603234733649971728763459353899812749127843540179450011555932285104198244714314036823199016376001497379431278689331189846276845068034645054968361948287967438947800700815347858648419742524309159404922881184194126361190230691301365511877542821039692938051563414993647515020813293624647051860639864162606275857643748886869478198835675259970384390376784150497639846145912534631193944485987073457297484089707502430286283535886862312915280367785452987359936995442097117103972232145566702896627645210050018434285111101206636237521109197271119195317494349779115966400690132041703483810950289794047476188322869992708163677015309312513615175994691442909356069381849783104097897241584361661080840890647229997379663945692271770211347845177747441506565028280677023611475315046868572823052100964839497221591595403044084142459601978563571170574080520968534613877721312912095850238345749782379329753329652308551753158773272920793179172322260411104782018307299999784926243967920469112880497880160869514692660510590479910200638365852560652023404754666669012321104853589567594900486649903647945019438855290057634285586803555308842468880737057556792145020140315969596190701414063413359978062427676112478857219734656450686700339493880222751904971221367511946435883478594456826546018783961463365977697084779203384438484339448751390315619461630824321097587141095569351013884704142092247375522718777465596667156363060864614219727849125297490723417207267205167937476174888645475823894758752571125540713540046513669241698685700518402713529569416134922361987521601717272756891412569931372465499308370357841289527862373654880929596221270403318282515644511527581042755189413174108782334777255769981226704804280767080887008498270934413134170306806358545596080684693257366705735340722674978060800634151733633368998975652580070692710992580218440574899076403924145094754532330894918306561326871981818930509421226413101590232465321580884547046003105756872877386474855529014059746377845826827029302484326406009329295483825818561287086229186894841428109492147371812293764465381249465939787247431334481537838570907249291890200916862207553728979022455546610453171326840254484693675902064772438515852557590524540819382451748776672416598072875681568496139706690803113182434256795168738392133793408929118294799111654962084491329141872294516848287620247622055232918443406163650879438337479882331149910742237217683926700179049017060998527750938174387929992763245806749249595273076478660832120326329155662898426170425449174446623477630688114271535054413594926948091390422710989062069732790987554073045039298556857559243956839890202535737337255482947682923970848699419102143795729327297799973205889940325104620131438679823204829552169682888606936136634042439758947778083572436736601865351779474660365241982054403568793494392845215831735628591241921326010999365450054904260325957068905256047570698295525507820243906061711530560728533633085431369100507824393447203966807341476479803187557897283385772569446564367824231916792972019030020196668176025470316724157513480421997367445720889578604029582791013104476470930002764231080199408192143129363165200388686073263992924800217244757938031226321414751089093752386470081121526121772763569716112197528290205000356646837703578594587170445616195991006884614605673104405274867107148568596028911570266604780753217232738615065509569291859784118599363164860407411904472073550859599159828299832932441426536576182841642945496278728367773259263966623954766400723227207842440443827467927310222514363358601781377761178934753221833815171457969721030037588520636620782605819155043394705233511485543562857250283835103994607471728812122185729572531976184782249758328182903651371900459684283086304676155983793728084698172079477548524538447758419082370300651104120222755597352727615977449705007405478893058128837038776916684790373338340254053214763486723060984218007899711003434978807313029552351396272719863568985247135630433814061897055411771042272550156499875804595118949344700608542311903136255086159288328957318502817119651610546966167586035451526798052716043724844314525314811472802752968964035672315653156}
30539 1460856316142546687419766606362416928905081395932006192254505548285964035323710368029354: {30539,641109,763225,915870,976928,1099044,1739469,2593945,3112734,3692557,3933597,4911949,5554094,5641945,6124269,6251065,6376381,6555565,6742489,6770334,7017070,7501278,7866678,7934420,8420484,8750917,9399236,9521304,9949629,10206445,10399477,10711467,11410366,11497369,12247734,12409837,12501310,13327189,13427480,15001572,15033049,15105915,15671965,15795374,16068757,16112976,16130797,16230788,16278445,16800541,17690869,18127098,18806358,19457086,19534134,19774381,19913965,20279397,20443357,20624084,20820909,21514717,22429995,22564820,23186840,23368189,23848654,23896758,23925328,24577358,25145229,25272670,25356445,25684797,26020526,26085195,26460181,26471396,26702375,26915994,27077784,27452569,27824208,28379397,29044568,29279065,30064126,30327204,30427734,30462507,30680269,30735310,31302234,31588676,31605789,31990765,32042850,32259478,32469877,32675139,32936989,33216069,33804397,34179040,34398445,34902296,35134878,35895549,36227641,36503065,36882372,37172180,37787209,37816280,37992349,38146250,38388918,38451420,38723557,38898975,39103797,39265083,39546166,39637749,39806365,40565917,41014848,41075701,41278134,41492240,41592452,42505465,42543315,43803678,43875734,44037668,44303065,44606616,45126680,45379536,45775500,45799237,45983444,46141704,46464781,46678770,46921909,46996765,47090397,47767638,48827200,49151492,49211949,49527128,49790688,49985965,50182443,50334788,50680189,50767515,50881945,51006558,51051978,51458821,51859029,51909417,52037636,52374445,53163678,53269465,53301764,53864281,54056534,54122809,54152016,54901534,54930600,55373835,55555869,55691221,55718019,55725229,56014524,56250265,56396118,57951310,58302699,58592640,59065424,59140886,59710489,59821945,59983158,60293397,60416665,60420877,60921018,61058334,61537429,61796925,62284069,62498816,62679620,62849334,63387865,63923358,64871965,65536797,65869654,65916720,66330975,66448602,66651565,67353188,67500318,67680757,69297494,69407975,69541572,69614365,69717421,69895886,70311168,70617469,70753040,71786334,71906840,72400270,72450526,72499998,72948824,73164445,73237789,73503886,74156310,74339480,75215544,75638221,75958797,76065438,76736894,77223620,77818136,77846358,78183865,78478765,78804248,79017397,79100064,79597170,79607470,79942237,79981878,80620509,80895195,82067427,82221755,82650596,83179448,83202789,83289570,83537238,83593957,83631915,83972564,84486980,84617487,84903648,85576117,85779669,86047556,86288208,86880324,87245677,87545403,87797334,87894445,88321429,88572997,88654779,88766269,88842208,88987572,89207376,89378229,89536381,89562326,90828445,91592446,91707865,91757497,91960856,92084206,92293945,92668344,93305989,93359257,93576879,93820638,93989397,94174518,94340509,94618454,95145229,95382104,95516604,95528964,96218840,96543597,97039117,97074234,97561465,98666106,98730265,98996420,99154250,99254715,99750589,99947484,...,828479539023559054028675588361238283330161314166996451300943970644821314195229328553782155661209773968698486730658978581986229783500944026782061373069408639500313339469628619604084610162194617763686889765692385157027083049888050430474849117168823591582665044767792075801172777190082411184684473792606974529210189326748450260535909733453592390483692891684640373140289600815755917720408620385526412631547018110700055126458971957562976470961572516231757056499892914057606682928426714909892771625391767657194049696828568015837711614483173140518879463417107447262966735548327548759807796046090023089174503026963903776677142016322405604735384845614553684789831516613662829552630200800231980650492502266510299801374547368677086606181883341677083920738116461489235712616702904852100474957593145189030849719123691765310269175017333898427656297367071471055234798524564002246069146918033996784769415267602051967582452542922431951158421701051223021787972629613786463739107384321776291189541785346036952048267816314231559539407077345122490471272531219940436970577790959796243909413786465623330304217298253512889955576585565176225746459769218868801946790916728980610185946226134561253645429425303830293469372920551678179481039905493163145675655958348218350054344941467815075027651427666651809954356281663795906678792976241524668673949601035198062555225716425434691071214282484304989062245515522963968770422763992037164364034104072774674656146845862376542491621261335970844996069495918538407655317021767766621162259847542421015535417212972570302859234578151447259245832387393104566126213689402967845356755861120781452801920816581969368143775357518624673568994629994478462827629738159909381189768758483390616657173027460949999677389365951880703669320746820241304272038990765885719865300957548778840978035107132000003518481657280384351392350729974855471917529158282935086451428380205332963263703321105586335188217530210473954394286052121095120039967093641514168718285829601984676030050509240820334127857456832051267919653825217891685239819028175942195048966545627168805076657726509173127085473429192446236481646380711643354026520827056213138371063284078166198395000734544591296921329591773687946236085125810900807751906214262332968213735842138128856688311070310069770503862548028550777604070294354124202383542981282402575909135337118854897058698248962555536761934291793560482321394394331905604977423773466767291371564132784119761163173502165883654971840057206421150621330512747406401619701255460209537818394121027039886050058603011084012467091200951227600450053498463478870106039066488870327660862348614605886217642131798496342377459841990307972728395764131839619652385348697982371326820569004658635309316079712283293521089619566768740240543953726489609013993943225738727841930629343780342262142164238221057718440646698071874198909680871147001722306757856360873937835301375293311330593468533683319915679756990260381727040513853097158657773778836385786811229073677623165008624897109313522352744209560036204669773651385192753107588200690113393677442198667482443126736993712808441775272431430371433082849377665109245476319157506219823496724866113355826525890050268573525591497791626407261581894989144868710123874392909614717991248180489493733494347639255638173761669935216446032171407302581620392390422137085634066483593104599186481331109567558947835286338865935259835303803606005883224421524385956273049128653215693593990946699959808834910487656930197158019734807244328254524332910404204951063659638421667125358655104902798027669211990547862973081605353190241589267823747603442886862881989016499048175082356390488935603357884071356047443288261730365859092567295841092800449628147053650761736590170805950211012214719704781336845925078658854169846551736347875189458028545030295002264038205475086236270220632996051168581334367906044374186519656714706395004146346620299112288214694044747800583029109895989387200325867136907046839482122126633640628579705121682289182659145354574168296292435307500534970256555367891880755668424293986510326921908509656607912300660722852894043367355399907171129825849107922598264353937789676177899044747290611117856708110326289398739742449749398662139804864274262464418244418092551659888895949935932149601084840811763660665741201890965333771545037902672066641768402129832750722757186954581545056382780954931173908728732565092057850267228315344285875425752655991911207593218183278594358797964277173374637492274355477057850689526424629457014233975690592127047258119216322786807671637628623555450976656180334133396029091423966174557511108218339587193255558165375027185560007510381079822145230084591476327011849566505152468210969544328527094409079795353477870703445650721092845583117656563408825234749813706892678424017050912813467854704382629238932493435977754225679477415820449251379053177290197079074065587266471787972217209204129453446053508473479734}
30540 1465355540370753337392072423441541343638302119712077129588605821559563636730707998719801: {335819,701891,854812,945779,1221160,1311371,1373805,1433171,1465392,1648566,1769522,2163299,2224091,2319292,2500754,2866154,3316979,3438251,4150312,4165211,4326314,4528259,4588739,4669101,5244796,5253491,5419922,5856971,6037859,6512234,6881051,7061531,8142899,8165692,8202899,8331141,8502779,9027112,9055922,9580691,9918025,10001704,10155501,10178411,10488904,10525605,10656011,10834979,11227312,11251917,11431019,11592554,11749045,11800017,11901630,11954354,12085739,12630726,12680099,12695072,12976979,13266172,13332971,13510859,14098854,14281956,16284722,16330312,16700531,16784350,17115549,17758571,18345251,18371601,18521099,18751965,19691579,19750019,20002096,20100491,20141220,20217251,20288485,20934662,21483968,22371539,22502358,23415611,23693061,24169464,24169874,24346182,24457091,25075144,25239722,25413997,25438331,25780105,26014451,26045512,26877131,26992019,27019922,27039196,27190647,27508619,27761212,27852659,28086314,28196411,28206025,28209537,28597091,28711499,28796522,28983550,29185629,29301201,29506154,29796779,29906660,29910851,30539509,30569522,30651539,30936126,31862344,32015411,32298971,32469011,32865491,33089245,33205019,33526972,33826739,33847230,33883211,34246396,34780260,35010971,35236139,35573651,35772981,35845137,35887992,36023219,36103712,36247811,36305710,36866037,36922514,37098944,37704539,37839196,37909005,37928171,38542499,39030789,39380522,39485845,39707094,39712619,39879491,40046291,40373991,40436272,40570312,40616676,41045579,41736312,41831474,41876339,42141052,42723800,42879722,43036379,43336237,43566852,43627870,44192891,44288092,44412779,45096189,45490806,45641601,45729419,46102965,46465225,46495331,46659251,46823099,46846504,46953351,47270350,47383014,47407154,47860732,48064275,48185699,48389217,48795314,48946571,49176496,49651691,49922531,50301371,51185224,51268560,51381611,51435539,51682246,51865300,51990565,52028219,52138396,52353444,52702317,52850332,53639699,53800451,53854019,54686464,54763451,55037512,55047085,55297331,55323558,55723859,55758270,56408350,56724420,56894171,57053459,57159611,57219375,57419114,57479305,57583377,57677130,57795851,58404904,58748051,59319249,59475488,60013619,60487019,60506048,60539579,60697211,61034000,61117211,61439365,61522272,61908910,61917201,62238360,62388678,62787196,62896499,62918485,63470171,63678539,63690184,63830221,65047045,65237219,65273522,65615932,65705517,65813601,65962139,66056502,66387584,66427331,66627205,66909924,66943451,67252739,67648874,67690020,67973291,68008744,68069304,68090869,68589659,68663250,68953717,68975166,69051179,69145372,69212556,70018155,70635899,70884904,71094539,71196371,71552531,71651457,72111419,72202688,72466571,72782017,73175699,73240800,73727238,73831780,73832771,74074492,74085131,74290692,74686032,74891339,74991971,75194824,75494651,75502182,75946379,76197059,76397459,76409834,76509837,76577967,76847891,77097851,77397539,77447459,77597171,77696939,77736932,77746811,78056454,78123520,78349525,78742571,78941339,79745517,79834211,79952646,79977544,80378579,80391196,80465749,81084801,81228024,81411112,81562931,82085522,82352301,82395900,82595459,82644539,82860349,82889819,83459341,83799112,84021786,84113219,84191485,84594177,84649931,85231144,85282979,86926965,87382396,87560411,87617881,87719594,87888960,88080097,88441300,88598136,88711329,88860731,88908779,89868059,89883550,89915939,89974737,90000424,90356522,90585419,90919571,91186030,91348619,91381527,91587501,92584451,92637734,92722096,92924350,93058331,93271969,93436859,93748224,93767651,93862091,94019430,94274001,94621874,95321819,95715112,95744171,95885037,96025379,96255914,96529525,96540179,96666664,96820571,97272670,97287251,97846211,98357579,98505310,98775251,98804481,98875080,99099659,99188114,99331139,99672903,99747299,99932051,...,1242719308535338581043013382541857424995241971250494676951415955967231971292843992830673233491814660953047730095988467872979344675251416040173092059604112959250470009204442929406126915243291926645530334648538577735540624574832075645712273675753235387373997567151688113701759165785123616777026710688910461793815283990122675390803864600180388585725539337526960559710434401223633876580612930578289618947320527166050082689688457936344464706442358774347635584749839371086410024392640072364839157438087651485791074545242852023756567421724759710778319195125661170894450103322491323139711694069135034633761754540445855665015713024483608407103077268421830527184747274920494244328945301200347970975738753399765449702061821053015629909272825012515625881107174692233853568925054357278150712436389717783546274578685537647965403762526000847641484446050607206582852197786846003369103720377050995177154122901403077951373678814383647926737632551576834532681958944420679695608661076482664436784312678019055428072401724471347339309110616017683735706908796829910655455866686439694365864120679698434995456325947380269334933364878347764338619689653828303202920186375093470915278919339201841880468144137955745440204059380827517269221559858239744718513483937522327525081517412201722612541477141499977714931534422495693860018189464362287003010924401552797093832838574638152036606821423726457483593368273284445953155634145988055746546051156109162011984220268793564813737431892003956267494104243877807611482975532651649931743389771313631523303125819458855454288851867227170888868748581089656849189320534104451768035133791681172179202881224872954052215663036277937010353491944991717694241444607239864071784653137725085924985759541191424999516084048927821055503981120230361956408058486148828579797951436323168261467052660698000005277722485920576527088526094962283207876293737424402629677142570307999444895554981658379502782326295315710931591429078181642680059950640462271253077428744402977014045075763861230501191786185248076901879480737826837527859728542263913292573449818440753207614986589763759690628210143788669354722469571067465031039781240584319707556594926117249297592501101816886945381994387660531919354127688716351211627859321393499452320603763207193285032466605465104655755793822042826166406105441531186303575314471923603863863703005678282345588047373443833305142901437690340723482091591497858407466135660200150937057346199176179641744760253248825482457760085809631725931995769121109602429551883190314306727591181540559829075087904516626018700636801426841400675080247695218305159058599733305491491293522921908829326463197697744513566189762985461959092593646197759429478578023046973556990230853506987952963974119568424940281634429350153110360815930589734413520990914838608091762895944015670513393213246357331586577660970047107811298364521306720502583460136784541310906752952062939966995890202800524979873519635485390572590560770779645737986660668254578680216843610516434747512937345663970283529116314340054307004660477077789129661382301035170090516163298001223664690105490569212662662908647145557149624274066497663868214478736259329735245087299170033739788835075402860288387246687439610892372842483717303065185811589364422076986872270734240600241521458883457260642504902824669048257110953872430588585633205628451099725389656898779721996664351338421752929508298902889752955705409008824836632286578934409573692979823540390986420049939713252365731485395295737029602210866492381786499365606307426595489457632500688037982657354197041503817985821794459622408029785362383901735621405164330294322983524748572262623534585733403405036826107034071164932392595548788638850943761639200674442220580476142604885256208925316518322079557172005268887617988281254769827604521812784187042817545442503396057308212629354405330949494076752872001551859066561279779485072059592506219519930448668432322041067121700874543664843984080800488800705360570259223183189950460942869557682523433773988718031861252444438652961250802455384833051837821133502636440979765490382862764484911868450991084279341065051033099860756694738773661883897396530906684514266848567120935916676785062165489434098109613674624097993209707296411393696627366627138827489833343924903898224401627261217645490998611802836448000657317556854008099962652603194749126084135780431872317584574171432396760863093098847638086775400842473016428813138628983987866811389827274917891538196946415760061956238411533215586776034289636944185521350963535888190570887178824484180211507456442935333176464984270501200094043637135949261836266662327509380789883337248062540778340011265571619733217845126887214490517774349757728702316454316492790641613619693030216806055168476081639268374676484845113237852124720560339017636025576369220201782056573943858398740153966631338519216123730673877068579765935295618611098380899707681958325813806194180169080262710219601}
30541 1469868541458348435560302759802925985915068504622274532250834131921610459409122046982390: {61078,1068515,1282218,1526450,1831740,1953856,2198088,2472849,2654283,2899115,3478938,3631523,3751131,4299231,4363931,5187890,6225468,6489471,6555995,7385114,7535723,7867194,7898723,8129883,8751491,9177791,9768351,9823898,10207115,11108188,11283890,12248538,12290291,12410651,12502130,12752762,13111130,13484978,13540668,13583883,14034140,14289023,14666171,15002556,15733356,15868840,16069811,16582715,16801643,16840968,17388831,17501834,17852445,17931531,17959199,18798472,18946089,19042608,19899258,20412890,20444699,20798954,21148281,21422934,21940751,22789823,22820732,22994738,23369723,24160331,24427083,24495468,24819674,25002620,25176525,26654378,26854960,27879551,30003144,30066098,30211830,30682283,31271123,31343930,31401993,31590748,32137514,32225952,32261594,32461576,32556890,33601082,33753537,33798995,34473791,34701515,35381738,35499023,36254196,36254811,36519273,37383325,37612716,37859583,37994843,38373491,38726099,38914172,39068268,39548762,39827930,39950651,40529883,40558794,40612511,40886714,40990691,41248168,41641818,41709323,41908715,42129471,42232763,42472991,42807995,43029434,43194783,43475325,44259231,44787071,44859990,45129640,45854283,46373680,46404189,46467839,46736378,47298995,47697308,47793516,47850656,48157823,49154716,50174123,50290458,50545340,50712890,50770845,51104291,51369594,52041052,52170390,52676315,52920362,52942792,53404750,53831988,54126371,54155568,54448031,54458565,54905138,54912923,55360115,55383771,55648416,55728911,56758794,57579059,58089136,58558130,59070783,59507651,59560641,59825915,60128252,60654408,60855468,60925014,61360538,61470620,62024291,62604468,62747211,63177352,63211578,63981530,64085700,64319583,64518956,64831625,64939754,65172995,65350278,65441805,65795471,65873978,66062915,66432138,67608794,68236209,68358080,68796890,69804592,69980351,70269756,70370399,70905525,71074521,71110731,71234723,71406491,71791098,72455282,73006130,73192971,73324223,73764744,74343071,74344360,74525519,74577251,75574418,75632560,75643199,75984698,76292500,76777836,76902840,77447114,77523369,77797950,78207594,78288671,78483995,78530166,78750371,79092332,79275498,79612730,81049523,81131834,82019915,82029696,82151402,82194131,82556268,82984480,82985337,83184904,83637405,83750723,84583331,84612525,85010930,85086630,86128671,86431715,86515695,87607356,87671711,87751468,88075336,88606130,88743011,88772111,89213232,90202079,90253360,90759072,90820751,91068011,91551000,91598474,91966888,92180891,92283408,92289725,92593115,92863365,92893631,92929562,93312191,93357540,93583017,93843818,93993530,94180794,95535276,95814623,96103883,97171165,97460111,97654400,97910283,98302984,98370491,98423898,99054256,99084753,99581376,99971930,...,1656959078047118108057351176722476566660322628333992902601887941289642628390458657107564311322419547937396973461317957163972459567001888053564122746138817279000626678939257239208169220324389235527373779531384770314054166099776100860949698234337647183165330089535584151602345554380164822369368947585213949058420378653496900521071819466907184780967385783369280746280579201631511835440817240771052825263094036221400110252917943915125952941923145032463514112999785828115213365856853429819785543250783535314388099393657136031675423228966346281037758926834214894525933471096655097519615592092180046178349006053927807553354284032644811209470769691229107369579663033227325659105260401600463961300985004533020599602749094737354173212363766683354167841476232922978471425233405809704200949915186290378061699438247383530620538350034667796855312594734142942110469597049128004492138293836067993569538830535204103935164905085844863902316843402102446043575945259227572927478214768643552582379083570692073904096535632628463119078814154690244980942545062439880873941155581919592487818827572931246660608434596507025779911153171130352451492919538437737603893581833457961220371892452269122507290858850607660586938745841103356358962079810986326291351311916696436700108689882935630150055302855333303619908712563327591813357585952483049337347899202070396125110451432850869382142428564968609978124491031045927937540845527984074328728068208145549349312293691724753084983242522671941689992138991837076815310634043535533242324519695084842031070834425945140605718469156302894518491664774786209132252427378805935690713511722241562905603841633163938736287550715037249347137989259988956925655259476319818762379537516966781233314346054921899999354778731903761407338641493640482608544077981531771439730601915097557681956070214264000007036963314560768702784701459949710943835058316565870172902856760410665926527406642211172670376435060420947908788572104242190240079934187283028337436571659203969352060101018481640668255714913664102535839307650435783370479638056351884390097933091254337610153315453018346254170946858384892472963292761423286708053041654112426276742126568156332396790001469089182593842659183547375892472170251621801615503812428524665936427471684276257713376622140620139541007725096057101555208140588708248404767085962564805151818270674237709794117396497925111073523868583587120964642788788663811209954847546933534582743128265568239522326347004331767309943680114412842301242661025494812803239402510920419075636788242054079772100117206022168024934182401902455200900106996926957740212078132977740655321724697229211772435284263596992684754919683980615945456791528263679239304770697395964742653641138009317270618632159424566587042179239133537480481087907452979218027987886451477455683861258687560684524284328476442115436881293396143748397819361742294003444613515712721747875670602750586622661186937067366639831359513980520763454081027706194317315547557672771573622458147355246330017249794218627044705488419120072409339547302770385506215176401380226787354884397334964886253473987425616883550544862860742866165698755330218490952638315012439646993449732226711653051780100537147051182995583252814523163789978289737420247748785819229435982496360978987466988695278511276347523339870432892064342814605163240784780844274171268132967186209198372962662219135117895670572677731870519670607607212011766448843048771912546098257306431387187981893399919617669820975313860394316039469614488656509048665820808409902127319276843334250717310209805596055338423981095725946163210706380483178535647495206885773725763978032998096350164712780977871206715768142712094886576523460731718185134591682185600899256294107301523473180341611900422024429439409562673691850157317708339693103472695750378916057090060590004528076410950172472540441265992102337162668735812088748373039313429412790008292693240598224576429388089495601166058219791978774400651734273814093678964244253267281257159410243364578365318290709148336592584870615001069940513110735783761511336848587973020653843817019313215824601321445705788086734710799814342259651698215845196528707875579352355798089494581222235713416220652578797479484899498797324279609728548524928836488836185103319777791899871864299202169681623527321331482403781930667543090075805344133283536804259665501445514373909163090112765561909862347817457465130184115700534456630688571750851505311983822415186436366557188717595928554346749274984548710954115701379052849258914028467951381184254094516238432645573615343275257247110901953312360668266792058182847932349115022216436679174386511116330750054371120015020762159644290460169182952654023699133010304936421939088657054188818159590706955741406891301442185691166235313126817650469499627413785356848034101825626935709408765258477864986871955508451358954831640898502758106354580394158148131174532943575944434418408258906892107016946959468}
30542 1474395361346763696647432119446497508705989249289426810884752594988982658727842930883532: {91617,396877,671638,1403782,1709624,1891558,1923327,2224237,2289675,2442320,2622742,2747610,2866342,2930784,3297132,3539044,4226017,4326598,4448182,4589041,4638584,5001508,5218407,5732308,6633958,6761137,6876502,6941677,7781835,8203441,8300624,8330422,8563297,8652628,9056518,9177478,9338202,9999841,10489592,10506982,10839844,11077671,11253037,11713942,11800791,12075718,12324397,13024468,13037197,13215217,13762102,13885235,14123062,14735847,16285798,16331384,16405798,16448663,16662282,16925835,17005558,17542675,18054224,18111844,18372807,18753195,19129143,19161382,19666695,19751341,19836050,20003408,20227467,20311002,20356822,20627041,20977808,21051210,21151597,21312022,21669958,22024417,22454624,22503834,22862038,23185108,23498090,23600034,23803260,23908708,24171478,25261452,25360198,25390144,25497697,25953958,26252751,26532344,26665942,27021718,28197708,28403879,28525915,28563912,29848887,30619335,31198431,31253275,31506637,32134401,32569444,32660624,33401062,33568700,33885517,34231098,34492107,35517142,36081841,36092147,36690502,36743202,37042198,37229511,37503930,37763041,38600941,39383158,39488435,39500038,39981567,40004192,40200982,40282440,40434502,40576970,40607479,41869324,42967936,43094497,44743078,45004716,45099147,45317745,46324943,46553197,46831222,46880941,47015895,47386122,48025777,48206271,48338928,48339748,48392391,48642715,48692364,48835335,48914182,49004257,50150288,50401623,50467117,50479444,50827994,50876662,51277297,51439117,51560210,52028902,52091024,52569841,53072607,53697037,53754262,53857777,53984038,54039844,54078392,54381294,55017238,55280183,55522424,55705318,55781041,56172628,56392822,56412050,56419074,56898157,57194182,57422998,57593044,57852877,57967100,58371258,58602402,59012308,59323143,59593558,59621635,59741895,59813320,59821702,60070477,60543841,60838191,61079018,61139044,61303078,61330071,61443395,61872252,62462727,63181675,63724688,64030822,64544151,64597942,64938022,65051315,65730982,66018541,66178490,66410038,67053944,67289985,67653478,67694460,67766422,68492792,69414637,69560520,70021942,70104567,70472278,71147302,71545962,71690274,71775984,72046438,72207424,72495622,72611420,72786791,73732074,73845028,74140897,74197888,75160315,75409078,75435687,75650737,75678392,75818010,75856342,76069335,76402957,76838275,77054391,77065919,77084998,77453041,77752417,78061578,78255585,78761044,78947041,78971690,79380543,79414188,79425238,79758982,80092582,80107125,80471027,80648695,80747982,80872544,81140624,81233352,82091158,82357707,82650541,83472624,83662948,83752678,84119341,84282104,84873151,85138191,85447600,85759444,86015111,86072758,86672474,87035341,87133704,87255740,87837195,88085879,88385782,88576184,88825558,88915297,89203441,89922541,90192378,90639841,90981612,91065863,91283202,91387521,91458838,92040807,92205930,92930450,92990662,93065197,93278087,93318502,93646198,93693008,93906702,93916237,94540700,94623457,94766028,94814308,94817367,94905841,95365625,95721464,95972295,96128550,96371398,96594097,96778434,96949963,97409631,97590628,97893142,97925867,98025417,98352992,98810967,98865415,99303382,99523597,99648207,99845062,...,2485438617070677162086026765083714849990483942500989353902831911934463942585687985661346466983629321906095460191976935745958689350502832080346184119208225918500940018408885858812253830486583853291060669297077155471081249149664151291424547351506470774747995134303376227403518331570247233554053421377820923587630567980245350781607729200360777171451078675053921119420868802447267753161225861156579237894641054332100165379376915872688929412884717548695271169499678742172820048785280144729678314876175302971582149090485704047513134843449519421556638390251322341788900206644982646279423388138270069267523509080891711330031426048967216814206154536843661054369494549840988488657890602400695941951477506799530899404123642106031259818545650025031251762214349384467707137850108714556301424872779435567092549157371075295930807525052001695282968892101214413165704395573692006738207440754101990354308245802806155902747357628767295853475265103153669065363917888841359391217322152965328873568625356038110856144803448942694678618221232035367471413817593659821310911733372879388731728241359396869990912651894760538669866729756695528677239379307656606405840372750186941830557838678403683760936288275911490880408118761655034538443119716479489437026967875044655050163034824403445225082954282999955429863068844991387720036378928724574006021848803105594187665677149276304073213642847452914967186736546568891906311268291976111493092102312218324023968440537587129627474863784007912534988208487755615222965951065303299863486779542627263046606251638917710908577703734454341777737497162179313698378641068208903536070267583362344358405762449745908104431326072555874020706983889983435388482889214479728143569306275450171849971519082382849999032168097855642111007962240460723912816116972297657159595902872646336522934105321396000010555444971841153054177052189924566415752587474848805259354285140615998889791109963316759005564652590631421863182858156363285360119901280924542506154857488805954028090151527722461002383572370496153803758961475653675055719457084527826585146899636881506415229973179527519381256420287577338709444939142134930062079562481168639415113189852234498595185002203633773890763988775321063838708255377432702423255718642786998904641207526414386570064933210930209311511587644085652332812210883062372607150628943847207727727406011356564691176094746887666610285802875380681446964183182995716814932271320400301874114692398352359283489520506497650964915520171619263451863991538242219204859103766380628613455182363081119658150175809033252037401273602853682801350160495390436610318117199466610982982587045843817658652926395395489027132379525970923918185187292395518858957156046093947113980461707013975905927948239136849880563268858700306220721631861179468827041981829677216183525791888031341026786426492714663173155321940094215622596729042613441005166920273569082621813505904125879933991780405601049959747039270970781145181121541559291475973321336509157360433687221032869495025874691327940567058232628680108614009320954155578259322764602070340181032326596002447329380210981138425325325817294291114299248548132995327736428957472518659470490174598340067479577670150805720576774493374879221784745684967434606130371623178728844153973744541468481200483042917766914521285009805649338096514221907744861177171266411256902199450779313797559443993328702676843505859016597805779505911410818017649673264573157868819147385959647080781972840099879426504731462970790591474059204421732984763572998731212614853190978915265001376075965314708394083007635971643588919244816059570724767803471242810328660588645967049497144525247069171466806810073652214068142329864785191097577277701887523278401348884441160952285209770512417850633036644159114344010537775235976562509539655209043625568374085635090885006792114616425258708810661898988153505744003103718133122559558970144119185012439039860897336864644082134243401749087329687968161600977601410721140518446366379900921885739115365046867547977436063722504888877305922501604910769666103675642267005272881959530980765725528969823736901982168558682130102066199721513389477547323767794793061813369028533697134241871833353570124330978868196219227349248195986419414592822787393254733254277654979666687849807796448803254522435290981997223605672896001314635113708016199925305206389498252168271560863744635169148342864793521726186197695276173550801684946032857626277257967975733622779654549835783076393892831520123912476823066431173552068579273888371042701927071776381141774357648968360423014912885870666352929968541002400188087274271898523672533324655018761579766674496125081556680022531143239466435690253774428981035548699515457404632908632985581283227239386060433612110336952163278536749352969690226475704249441120678035272051152738440403564113147887716797480307933262677038432247461347754137159531870591237222196761799415363916651627612388360338160525420439202}
30543 1478936042104375592441955239509702250234337593348488133100327900011547248885097027417045: {122156,1007457,1495921,2105673,2137030,2564436,2837337,3052900,3663480,3907712,3934113,4058761,4121415,4299513,4396176,4423805,4945698,5157373,5308566,5798230,6251885,6489897,6672273,6957876,7165385,7263046,7502262,7718777,8598462,8727862,8817101,9178393,9950937,10314753,10375780,10815785,12450936,12495633,12978942,13111990,13549805,13584777,13751441,13766217,14007303,14289961,14667133,14770228,15035021,15071446,15734388,15760473,15797446,16132913,16259766,16280585,17502982,17570913,17960377,18113577,18355582,19536702,19647796,20337497,20414230,20643153,21184593,22216376,22567780,22639805,23215801,24161917,24428697,24497076,24580582,24608697,24821302,24993423,25004260,25505524,25508337,26222260,26969956,27081336,27167766,27799937,28068280,28578046,28742073,28981385,29332342,29754075,29885885,30005112,30466503,30535233,30558401,31466712,31576815,31737680,31968033,32139622,32504937,33165430,33603286,33681936,33755751,33808841,34293057,34777662,35003668,35247135,35400051,35704890,35863062,35918398,36257217,37139273,37596944,37892178,38040297,38085216,38930937,39798516,39998913,40532577,40615177,40711805,40741753,40825780,40889398,41526521,41597908,41712061,41960875,42296562,42845868,43881502,45579646,45641464,45989476,46739446,47318593,48320662,48582121,48854166,48990936,49639348,49723217,50005240,50101593,50195353,50353050,51346647,52336655,53275713,53308756,53709920,54916537,55035753,55114803,55563297,55759102,56076961,56255895,58672201,59074737,59250057,59931193,60006288,60132196,60301473,60423660,60424685,60651753,60865455,61364566,62292257,62542246,62687860,62803986,63099305,63181496,63746441,64275028,64347673,64451904,64523188,64923152,65113780,66165677,66218593,67114617,67202164,67261841,67507074,67549805,67597990,68947582,69403030,70215785,70246833,70763476,70775981,70998046,71079183,71991305,72458875,72508392,72509622,73038546,73247417,73371273,73746841,73765385,74766650,75225432,75719166,75989686,76241991,76314993,76423805,76746982,77340315,77452198,77504161,77828344,78043353,78136536,79097524,79640297,79655860,79901302,80631393,80976057,81059766,81117588,81225022,81571941,81773428,81981382,82496336,82525857,83165017,83283636,83418646,83557977,83756281,83817430,84258942,84465526,84589233,84618075,84628611,84945982,85615990,85791273,86058868,86134497,86389566,86950650,87556887,87568217,87859993,87903603,88518462,88584641,88938121,89390337,89574142,89719980,89732553,90259280,90584761,90764275,91242193,91562057,91618527,91708566,91954617,92306285,92345921,92488081,92747360,92808378,92935678,93472756,94597990,95157737,95394616,95510353,95587032,95701312,96046233,96315646,96896913,97407033,98309432,98451305,98596473,99267735,99615057,...,3728157925606015743129040147625572274985725913751484030854247867901695913878531978492019700475443982859143190287965403618938034025754248120519276178812338877751410027613328788218380745729875779936591003945615733206621873724496226937136821027259706162121992701455064341105277497355370850331080132066731385381445851970368026172411593800541165757176618012580881679131303203670901629741838791734868856841961581498150248069065373809033394119327076323042906754249518113259230073177920217094517472314262954457373223635728556071269702265174279132334957585376983512683350309967473969419135082207405103901285263621337566995047139073450825221309231805265491581554241824761482732986835903601043912927216260199296349106185463159046889727818475037546877643321524076701560706775163071834452137309169153350638823736056612943896211287578002542924453338151821619748556593360538010107311161131152985531462368704209233854121036443150943780212897654730503598045876833262039086825983229447993310352938034057166284217205173414042017927331848053051207120726390489731966367600059319083097592362039095304986368977842140808004800094635043293015859068961484909608760559125280412745836758017605525641404432413867236320612178142482551807664679574719234155540451812566982575244552236605167837624431424499933144794603267487081580054568393086861009032773204658391281498515723914456109820464271179372450780104819853337859466902437964167239638153468327486035952660806380694441212295676011868802482312731633422834448926597954949795230169313940894569909377458376566362866555601681512666606245743268970547567961602313355304105401375043516537608643674618862156646989108833811031060475834975153082724333821719592215353959413175257774957278623574274998548252146783463166511943360691085869224175458446485739393854308969504784401157982094000015833167457761729581265578284886849623628881212273207889031427710923998334686664944975138508346978885947132794774287234544928040179851921386813759232286233208931042135227291583691503575358555744230705638442213480512583579185626791739877720349455322259622844959769291279071884630431366008064167408713202395093119343721752959122669784778351747892777503305450660836145983162981595758062383066149053634883577964180498356961811289621579855097399816395313967267381466128478499218316324593558910725943415770811591591109017034847036764142120331499915428704313071022170446274774493575222398406980600452811172038597528538925234280759746476447373280257428895177795987307363328807288655649570942920182773544621679487225263713549878056101910404280524202025240743085654915477175799199916474473880568765726487979389593093233540698569288956385877277780938593278288435734069140920670970692560520963858891922358705274820844903288050459331082447791769203240562972744515824275288687832047011540179639739071994759732982910141323433895093563920161507750380410353623932720258856188819900987670608401574939620558906456171717771682312338937213959982004763736040650530831549304242538812036991910850587348943020162921013981431233367388984146903105510271548489894003670994070316471707637987988725941436671448872822199492991604643436208777989205735261897510101219366505226208580865161740062318832677118527451151909195557434768093266230960616812202721800724564376650371781927514708474007144771332861617291765756899616885353299176168970696339165989993054015265258788524896708669258867116227026474509896859736803228721078939470621172959260149819139757097194456185887211088806632599477145359498096818922279786468372897502064113947972062591124511453957465383378867224089356087151705206864215492990882968950574245716787870603757200210215110478321102213494797177786646365916552831284917602023326661741428427814655768626775949554966238671516015806662853964843764309482813565438352561128452636327510188171924637888063215992848482230258616004655577199683839338455216178777518658559791346005296966123201365102623630994531952242401466402116081710777669549569851382828608673047570301321966154095583757333315958883752407366154499155513463400507909322939296471148588293454735605352973252838023195153099299582270084216320985651692189592720053542800545701362807750030355186496468302294328841023872293979629121889234181089882099881416482469500031774711694673204881783652936472995835408509344001971952670562024299887957809584247378252407341295616952753722514297190282589279296542914260326202527419049286439415886951963600434169481824753674614590839247280185868715234599646760328102868910832556564052890607664571712661536473452540634522369328805999529394952811503600282130911407847785508799986982528142369650011744187622335020033796714859199653535380661643471553323049273186106949362949478371924840859079090650418165505428244917805124029454535339713556374161681017052908076729107660605346169721831575196220461899894015557648371192021631205739297805886855833295142699123045874977441418582540507240788130658803}
30544 1483490625926887351393048260522162806653021130607264989181000225079233220278868558383666: {152695,183234,793754,1343276,1433359,1616023,2807564,3205545,3419248,3438703,3783116,3816125,3846654,4448474,4579350,4884640,5245484,5495220,5732684,5861568,5978359,6594264,7078088,7418547,7603543,7962849,8452034,8653196,8697345,8896364,9178082,9277168,10003016,10436814,10478359,10894569,11253393,11464616,11551663,12897693,12969725,12978703,13091793,13267916,13522274,13753004,13883354,15563670,16406882,16601248,16660844,17126594,17305256,18113036,18354956,18462785,18464959,18676404,19439329,19468413,19667985,19999682,20219959,20979184,21013964,21679688,22155342,22506074,22607169,23427884,23601582,23696169,24151436,24389649,24402583,24559745,24575959,24648794,26048936,26074394,26133103,26254473,26430434,26995663,27524204,27533373,27770470,28209725,28246124,28715383,28886959,29305053,29471694,29914903,30621345,31255325,31281463,31881905,32133223,32571596,32662768,32777825,32811596,32897326,33324564,33712445,33851670,34011116,34677703,35085350,35690959,36108448,36223688,36745614,36870873,37231953,37506390,38045143,38258286,38322764,39333390,39502682,39672100,39936281,40006816,40454934,40622004,40713644,40751649,41254082,41955616,42102420,42303194,42624044,42867069,43042303,43339916,43754585,43868863,43998513,44048834,44198983,44909248,45007668,45724076,45845263,46370216,46996180,47200068,47606520,47817416,47990657,48209433,48342956,49748145,50404929,50522904,50720396,50780288,50995394,51032225,51907916,51997385,52166493,52505502,53003359,53064688,53331884,53557335,53794593,53877597,54043436,54450343,54771103,55283809,56370583,56395416,56807758,56838267,57008359,57051830,57127824,57167623,57486845,57803959,59231503,59697774,60022063,60810823,61238670,61334097,62049185,62396862,62506550,63013274,63322759,63444843,64103959,64268802,65138888,65321248,65816263,65822253,66635945,66802124,67056103,67137400,67365343,67771034,68099801,68369469,68462196,68753359,68984214,70109169,71034284,71206543,72163682,72184294,72426223,72480993,73281249,73381004,73486404,74084396,74459022,75002743,75007860,75165245,75526082,75529575,76208023,76508623,77108959,77201882,77708143,78359825,78753943,78766316,78976870,79000076,79963134,80008384,80093359,80343785,80401964,80564880,80653985,80834959,80869004,81153940,81214958,81392225,81722503,83470289,83638653,83738648,84002705,85935872,85975759,86020753,86188994,88454345,89486156,90009432,90198294,90635490,91028359,91071841,92046849,92649886,93106394,93662444,93761882,93813369,93875959,94031790,94205979,94772244,95288959,95429863,95992759,96051554,96412542,96677856,96679496,96784782,96834943,97285430,97384728,97394959,97534783,97670670,97828364,98008514,98871905,99569825,...,4970877234141354324172053530167429699980967885001978707805663823868927885171375971322692933967258643812190920383953871491917378701005664160692368238416451837001880036817771717624507660973167706582121338594154310942162498299328302582849094703012941549495990268606752454807036663140494467108106842755641847175261135960490701563215458400721554342902157350107842238841737604894535506322451722313158475789282108664200330758753831745377858825769435097390542338999357484345640097570560289459356629752350605943164298180971408095026269686899038843113276780502644683577800413289965292558846776276540138535047018161783422660062852097934433628412309073687322108738989099681976977315781204801391883902955013599061798808247284212062519637091300050062503524428698768935414275700217429112602849745558871134185098314742150591861615050104003390565937784202428826331408791147384013476414881508203980708616491605612311805494715257534591706950530206307338130727835777682718782434644305930657747137250712076221712289606897885389357236442464070734942827635187319642621823466745758777463456482718793739981825303789521077339733459513391057354478758615313212811680745500373883661115677356807367521872576551822981760816237523310069076886239432958978874053935750089310100326069648806890450165908565999910859726137689982775440072757857449148012043697606211188375331354298552608146427285694905829934373473093137783812622536583952222986184204624436648047936881075174259254949727568015825069976416975511230445931902130606599726973559085254526093212503277835421817155407468908683555474994324358627396757282136417807072140535166724688716811524899491816208862652145111748041413967779966870776965778428959456287138612550900343699943038164765699998064336195711284222015924480921447825632233944595314319191805745292673045868210642792000021110889943682306108354104379849132831505174949697610518708570281231997779582219926633518011129305181262843726365716312726570720239802561849085012309714977611908056180303055444922004767144740992307607517922951307350111438914169055653170293799273763012830459946359055038762512840575154677418889878284269860124159124962337278830226379704468997190370004407267547781527977550642127677416510754865404846511437285573997809282415052828773140129866421860418623023175288171304665624421766124745214301257887694415455454812022713129382352189493775333220571605750761362893928366365991433629864542640800603748229384796704718566979041012995301929831040343238526903727983076484438409718207532761257226910364726162239316300351618066504074802547205707365602700320990780873220636234398933221965965174091687635317305852790790978054264759051941847836370374584791037717914312092187894227960923414027951811855896478273699761126537717400612441443263722358937654083963659354432367051583776062682053572852985429326346310643880188431245193458085226882010333840547138165243627011808251759867983560811202099919494078541941562290362243083118582951946642673018314720867374442065738990051749382655881134116465257360217228018641908311156518645529204140680362064653192004894658760421962276850650651634588582228598497096265990655472857914945037318940980349196680134959155340301611441153548986749758443569491369934869212260743246357457688307947489082936962400966085835533829042570019611298676193028443815489722354342532822513804398901558627595118887986657405353687011718033195611559011822821636035299346529146315737638294771919294161563945680199758853009462925941581182948118408843465969527145997462425229706381957830530002752151930629416788166015271943287177838489632119141449535606942485620657321177291934098994289050494138342933613620147304428136284659729570382195154555403775046556802697768882321904570419541024835701266073288318228688021075550471953125019079310418087251136748171270181770013584229232850517417621323797976307011488006207436266245119117940288238370024878079721794673729288164268486803498174659375936323201955202821442281036892732759801843771478230730093735095954872127445009777754611845003209821539332207351284534010545763919061961531451057939647473803964337117364260204132399443026778955094647535589586123626738057067394268483743666707140248661957736392438454698496391972838829185645574786509466508555309959333375699615592897606509044870581963994447211345792002629270227416032399850610412778996504336543121727489270338296685729587043452372395390552347101603369892065715252554515935951467245559309099671566152787785663040247824953646132862347104137158547776742085403854143552762283548715297936720846029825771741332705859937082004800376174548543797047345066649310037523159533348992250163113360045062286478932871380507548857962071097399030914809265817265971162566454478772120867224220673904326557073498705939380452951408498882241356070544102305476880807128226295775433594960615866525354076864494922695508274319063741182474444393523598830727833303255224776720676321050840878404}
30545 1488059155137712101046824932464414924374861937241334600843908935309948930874249038702880: {244312,274851,1190631,1679095,2014914,2991842,3509455,4211346,4274060,4728895,5128872,5674674,5706679,5769981,6105800,6193327,6556855,6672711,6869025,7165855,7326960,7815424,7868226,8117522,8242830,8599026,8752639,8792352,8847610,9122191,9854407,9891396,10031539,10314746,10617132,10816495,11120455,11596460,12412279,12503770,12678051,12979794,13344546,13752343,13767123,13915752,14330770,14422243,14526092,15004524,15142099,15437554,15655221,16071919,16251703,16584895,16803847,17191255,17196924,17455724,17634202,18356786,18969727,19178839,19901874,20283411,20338831,20629506,20751560,20825031,20826055,21631570,21740083,22454179,22641295,22792819,22943695,23345505,24610323,24901872,24991266,25689891,25957884,26223980,26267455,27099610,27169554,27502882,27532434,28014606,28579922,29284855,29334266,29540456,29999523,30070042,30142892,30189295,30560407,31468776,31520946,31594279,31594892,31695727,32265826,32519532,32561170,32854471,33233013,33759111,34153507,34405255,34478323,35005964,35141826,35307655,35402373,35812579,35920754,36227154,36711164,36973191,37141711,39073404,39111591,39295592,39645651,39955903,40573939,40674994,40714495,40828460,40893007,41014495,41286306,41529247,41655705,41840239,42369186,42513895,43810723,44207541,44390419,44432752,45135560,45279610,46218439,46431602,47903455,48323834,48857394,48994152,49161164,49217394,49345989,49590125,49642604,49986846,50008520,50180719,50777505,50892055,51011048,51016674,51123871,52243159,52444520,52628025,53280055,53939912,54162672,54174895,54335532,55118421,55599874,55784179,56136560,56259585,56996527,57155095,57156092,57387429,57484146,57962770,58664684,58745225,59000085,59162407,59254023,59508150,59771770,60010224,60428695,60682401,60933006,61070466,61116802,61881123,62933424,63153630,63400495,63454791,63475360,63936066,64279244,64413943,64884895,65009874,66073251,66330860,66470167,66664855,67206572,67363872,67511502,67554295,67617682,68586114,69393271,69555324,70007336,70379683,70494270,70780639,70800102,71409780,71726124,71809207,71836796,72514434,73271317,74278546,75193888,75336703,75676579,75784356,76080594,76170432,76493091,77861874,78298963,78532087,78758253,79102567,79597032,79997826,80306743,81065154,81230354,81423610,81483506,81651560,81778796,83053042,83195816,83424122,83502655,83921750,84593124,84594559,85211637,85577745,85691736,87574003,87763004,88339027,88792855,89546661,91079983,91159292,91282928,91568083,91726255,91858005,91978952,92605495,92905843,93377719,93478892,93512023,93595293,93759825,94120351,94519911,94569727,94637186,95827219,96403203,96641324,97164242,97466743,97708332,97981872,98302099,98383423,98457895,98750095,99278696,99446434,99630631,...,7456315851212031486258080295251144549971451827502968061708495735803391827757063956984039400950887965718286380575930807237876068051508496241038552357624677755502820055226657576436761491459751559873182007891231466413243747448992453874273642054519412324243985402910128682210554994710741700662160264133462770762891703940736052344823187601082331514353236025161763358262606407341803259483677583469737713683923162996300496138130747618066788238654152646085813508499036226518460146355840434189034944628525908914746447271457112142539404530348558264669915170753967025366700619934947938838270164414810207802570527242675133990094278146901650442618463610530983163108483649522965465973671807202087825854432520398592698212370926318093779455636950075093755286643048153403121413550326143668904274618338306701277647472113225887792422575156005085848906676303643239497113186721076020214622322262305971062924737408418467708242072886301887560425795309461007196091753666524078173651966458895986620705876068114332568434410346828084035854663696106102414241452780979463932735200118638166195184724078190609972737955684281616009600189270086586031718137922969819217521118250560825491673516035211051282808864827734472641224356284965103615329359149438468311080903625133965150489104473210335675248862848999866289589206534974163160109136786173722018065546409316782562997031447828912219640928542358744901560209639706675718933804875928334479276306936654972071905321612761388882424591352023737604964625463266845668897853195909899590460338627881789139818754916753132725733111203363025333212491486537941095135923204626710608210802750087033075217287349237724313293978217667622062120951669950306165448667643439184430707918826350515549914557247148549997096504293566926333023886721382171738448350916892971478787708617939009568802315964188000031666334915523459162531156569773699247257762424546415778062855421847996669373329889950277016693957771894265589548574469089856080359703842773627518464572466417862084270454583167383007150717111488461411276884426961025167158371253583479755440698910644519245689919538582558143769260862732016128334817426404790186238687443505918245339569556703495785555006610901321672291966325963191516124766132298107269767155928360996713923622579243159710194799632790627934534762932256956998436632649187117821451886831541623183182218034069694073528284240662999830857408626142044340892549548987150444796813961200905622344077195057077850468561519492952894746560514857790355591974614726657614577311299141885840365547089243358974450527427099756112203820808561048404050481486171309830954351598399832948947761137531452975958779186186467081397138577912771754555561877186556576871468138281841341941385121041927717783844717410549641689806576100918662164895583538406481125945489031648550577375664094023080359279478143989519465965820282646867790187127840323015500760820707247865440517712377639801975341216803149879241117812912343435543364624677874427919964009527472081301061663098608485077624073983821701174697886040325842027962862466734777968293806211020543096979788007341988140632943415275975977451882873342897745644398985983209286872417555978411470523795020202438733010452417161730323480124637665354237054902303818391114869536186532461921233624405443601449128753300743563855029416948014289542665723234583531513799233770706598352337941392678331979986108030530517577049793417338517734232454052949019793719473606457442157878941242345918520299638279514194388912371774422177613265198954290718996193637844559572936745795004128227895944125182249022907914930766757734448178712174303410413728430985981765937901148491433575741207514400420430220956642204426989594355573292731833105662569835204046653323482856855629311537253551899109932477343032031613325707929687528618965627130876705122256905272655020376343849275776126431985696964460517232009311154399367678676910432357555037317119582692010593932246402730205247261989063904484802932804232163421555339099139702765657217346095140602643932308191167514666631917767504814732308998311026926801015818645878592942297176586909471210705946505676046390306198599164540168432641971303384379185440107085601091402725615500060710372992936604588657682047744587959258243778468362179764199762832964939000063549423389346409763567305872945991670817018688003943905341124048599775915619168494756504814682591233905507445028594380565178558593085828520652405054838098572878831773903927200868338963649507349229181678494560371737430469199293520656205737821665113128105781215329143425323072946905081269044738657611999058789905623007200564261822815695571017599973965056284739300023488375244670040067593429718399307070761323286943106646098546372213898725898956743849681718158181300836331010856489835610248058909070679427112748323362034105816153458215321210692339443663150392440923799788031115296742384043262411478595611773711666590285398246091749954882837165081014481576261317606}
30546 1492641672188357156722928210326407283545444799265351442286845863846800959380013346279964: {213773,305390,366468,518993,884993,1128833,1587508,1616129,2406893,2686552,2866718,2953553,3022371,3232046,4487763,4771073,5342575,5435693,5615128,6039053,6317019,6411090,6762029,6838496,6877406,6882413,7062929,7243373,7566232,7632250,7693308,8384513,8512011,8864129,8896948,9158700,9769280,10490968,10538753,10837133,10990440,11465368,11723136,11802339,11956718,12176283,12326033,12364245,12898539,13038929,13188528,13271415,13335629,13513553,13750673,14156176,14495575,14638733,14837094,14993453,15207086,15472119,15925698,16703873,16880429,16904068,17306392,17394690,17585933,17792728,17938253,18157615,18356164,18524813,18554336,18755655,19469691,20006032,20016819,20104529,20396429,20873628,20956718,21154433,21496155,21678413,21789138,21819655,22143629,22506786,22550273,22929232,23103326,23156331,23420333,24462029,24635393,25616429,25795386,25847899,25939450,25957406,26019713,26183586,26192429,26451303,26535832,27044548,27506008,27535179,27766708,28030253,28888913,29802833,29852811,30088013,30944259,31127340,31340429,32192129,32447355,32475629,32645633,32779975,32813764,32872193,33042029,33202496,33321688,34172429,34253188,34383643,34610512,35580929,36226072,36591953,36709912,36872333,36925570,36929918,37352808,37376513,37486899,37678615,38103629,38878658,38936826,39335970,39493615,39887693,39999364,40054529,40439918,40649415,40754331,40776653,41054033,41254323,41298651,41442029,41958368,42021909,42027928,42869883,43100429,43210733,43359376,43757455,44001399,44202029,44310684,44634667,45012148,45105063,45214338,45410093,45888955,46231553,46668929,46832813,46855768,47197423,47203164,47281419,47324033,47392338,48141293,48302872,48398739,48779298,48805166,48841755,49119490,49151918,49282433,49297588,49932929,50474129,51035575,51392333,52097872,52148788,52266206,52362029,52508946,52712739,52860868,53811713,53881131,53991326,54133073,54340731,55048408,55066746,55540940,55735553,56374529,56419450,56492248,56716231,56746733,57012353,57065453,57430766,57773918,57860993,58496129,58610106,58918913,58943388,59288429,59710253,59829806,60078929,60710033,60867629,61012491,61130129,61242690,61256419,61451455,61929459,62053255,62510650,62562926,63327233,63379373,63553779,63763810,64108493,64160513,64266446,65143192,65325536,65555650,65623192,65794652,66649128,67112429,67424890,67703340,67919415,68022232,68142029,68501633,68758253,69065933,69355406,69526913,69647403,70170700,71364353,71381918,71445115,72126893,72216896,72447376,72482129,72485751,72796339,73286091,73330855,73491228,73741746,73826091,74252429,74463906,74980269,75012780,75159053,75661613,75912593,76090286,76514129,76516572,76525011,76645528,76864493,77613953,77763629,78666780,79005364,79107473,79344200,79872562,80013632,80349055,80481583,80909868,81244008,81427288,81503298,81728429,82508164,82913575,83104013,83399811,83544833,83911232,84008215,84204840,84278093,84606388,84814673,85248088,85301633,85544813,85734138,85982033,86084606,86226219,86679832,86868859,86944155,87509170,87724433,87737726,87917393,87997026,88097668,88397966,89262225,89657655,89795995,89818496,90015336,90079373,91399509,91448152,91605699,91675203,91690526,92740432,93290323,93930113,93992360,94400136,94730445,95213040,95342993,95634832,95904099,95981314,96046733,96418866,96685912,96842129,97514811,98007629,99260753,99496290,...,11184473776818047229387120442876716824957177741254452092562743603705087741635595935476059101426331948577429570863896210856814102077262744361557828536437016633254230082839986364655142237189627339809773011836847199619865621173488680811410463081779118486365978104365193023315832492066112550993240396200194156144337555911104078517234781401623497271529854037742645037393909611012704889225516375204606570525884744494450744207196121427100182357981228969128720262748554339777690219533760651283552416942788863372119670907185668213809106795522837397004872756130950538050050929902421908257405246622215311703855790864012700985141417220352475663927695415796474744662725474284448198960507710803131738781648780597889047318556389477140669183455425112640632929964572230104682120325489215503356411927507460051916471208169838831688633862734007628773360014455464859245669780081614030321933483393458956594387106112627701562363109329452831340638692964191510794137630499786117260477949688343979931058814102171498852651615520242126053781995544159153621362179171469195899102800177957249292777086117285914959106933526422424014400283905129879047577206884454728826281677375841238237510274052816576924213297241601708961836534427447655422994038724157702466621355437700947725733656709815503512873294273499799434383809802461244740163705179260583027098319613975173844495547171743368329461392813538117352340314459560013578400707313892501718914460404982458107857982419142083323636887028035606407446938194900268503346779793864849385690507941822683709728132375129699088599666805044537999818737229806911642703884806940065912316204125130549612825931023856586469940967326501433093181427504925459248173001465158776646061878239525773324871835870722824995644756440350389499535830082073257607672526375339457218181562926908514353203473946282000047499502373285188743796734854660548870886643636819623667094283132771995004059994834925415525040936657841398384322861703634784120539555764160441277696858699626793126405681874751074510726075667232692116915326640441537750737556880375219633161048365966778868534879307873837215653891294098024192502226139607185279358031165258877368009354335055243678332509916351982508437949488944787274187149198447160904650733892541495070885433868864739565292199449185941901802144398385435497654948973780676732177830247312434774773327051104541110292426360994499746286112939213066511338824323480725667195220941801358433516115792585616775702842279239429342119840772286685533387961922089986421865966948712828760548320633865038461675791140649634168305731212841572606075722229256964746431527397599749423421641706297179463938168779279700622095707866869157631833342815779834865307202207422762012912077681562891576675767076115824462534709864151377993247343375307609721688918233547472825866063496141034620538919217215984279198948730423970301685280691760484523251141231060871798160776568566459702963011825204724818861676719368515153315046937016811641879946014291208121951592494647912727616436110975732551762046829060488763041944293700102166952440709316530814645469682011012982210949415122913963966177824310014346618466598478974813930308626333967617205785692530303658099515678625742595485220186956498031355582353455727586672304304279798692881850436608165402173693129951115345782544125422021434313998584851875297270698850656059897528506912089017497969979162045795776365574690126007776601348681079423529690579210409686163236818411863518877780449457419271291583368557661633266419897798431436078494290456766839359405118692506192341843916187773373534361872396150136601672268068261455115620592646478972648906851722737150363611811271600630645331434963306640484391533359939097749658493854752806069979985224285283443967305880327848664898716014548047419988561894531292928448440696315057683385357908982530564515773913664189647978545446690775848013966731599051518015365648536332555975679374038015890898369604095307870892983595856727204399206348245132333008648709554148485826019142710903965898462286751271999947876651257222098463497466540390201523727968817889413445764880364206816058919758514069585459297898746810252648962956955076568778160160628401637104088423250091065559489404906882986523071616881938887365667702543269646299644249447408500095324135084019614645350958809418987506225528032005915858011686072899663873428752742134757222023886850858261167542891570847767837889628742780978607582257147859318247660855890801302508445474261023843772517741840557606145703798940280984308606732497669692158671822993715137984609420357621903567107986417998588184858434510800846392734223543356526399960947584427108950035232562867005060101390144577598960606141984930414659969147819558320848088848435115774522577237271951254496516284734753415372088363606019140669122485043051158724230187322981816038509165494725588661385699682046672945113576064893617217893417660567499885428097369137624932324255747621521722364391976409}
30547 1497238219658809459840749519650682402325019240926137182172477121554563753299152797660675: {458085,488624,549702,1984385,2350733,2381262,3358190,4029828,4300077,4848069,4913237,5983684,6378053,6620453,6744257,7018910,8422692,8548120,9179597,9457790,9616635,10032197,10257744,10316109,11013749,11121185,11349348,11413358,11448375,11539962,12211600,12386654,13113710,13345422,13738050,14331710,14423189,14653920,14669057,15143093,15568637,15630848,15736452,16235044,16252769,16485660,17044469,17198052,17505278,17584704,17695220,17935077,17962733,18244382,19180097,19708814,19782792,20063078,20629492,21130085,21234264,21435173,21632990,21741509,22240910,22255641,22455653,22810629,22945205,23192920,23218853,23888547,24067757,24824558,25007540,25356102,25959588,26092035,26536757,26689092,27504686,27534246,27831504,28661540,28844486,29052184,29156477,30009048,30284198,30875108,31310442,31435077,31596353,31697813,32121173,32143838,32503406,32683707,33169790,33607694,33760179,33805685,34155749,34382510,34393848,34654989,34708385,34911448,35268404,35311253,36481973,36713572,36774437,37939454,38357678,38693079,38909175,38936109,39275379,39803748,40566822,40677662,40747109,40998797,41017205,41259012,41503120,41650062,41652110,42265013,42323957,42816485,43263140,43480166,44393333,44908358,45282590,45585638,45703949,45887390,46221473,46691010,48167357,48472997,49220646,49430717,49803744,49982532,49999205,51379782,51776309,51915768,52447960,52534910,53277677,54199220,54339108,55005764,55064868,55388355,55394877,56029212,56084333,56265185,57000293,57159844,57420293,58317987,58389413,58405239,58569710,58668532,59003955,59080912,59519453,59999046,60140084,60285784,60378590,60659877,61120814,61621985,62937552,63041892,63188558,63189784,63242573,63391454,64531652,65039064,65122340,65185985,65640077,65708942,65926757,66076085,66466026,67064837,67518222,67821507,67882637,68307014,68723393,68810510,68956646,69426175,70011928,70283652,70615310,70804746,71088507,71248877,71625158,71813933,71841508,72454308,73168947,73207749,73422328,73679235,73727877,73946382,74283422,74357789,74592077,75844853,76125569,76343333,78146808,78223182,78399309,78591184,78763419,79107773,79291302,79911806,80017133,80257349,80986989,81147878,81349988,81428990,81656920,81786014,82028990,82243315,82572612,82600119,83058494,83175989,83311410,83680478,83948093,84146957,84600173,84629175,84738372,85027790,86146149,86660877,87621446,87713375,87915159,88415082,88760693,88780838,88865504,88949813,89435957,89744709,90271120,90559220,90838853,91864035,92199173,92436878,92863204,93330797,93441317,93765975,93844389,94177589,94576013,94907969,95522909,95645715,95806910,96399669,96647668,97714788,97988304,98322328,98333475,98434788,98553053,98691978,98756705,99180250,99285208,99973692,...,14912631702424062972516160590502289099942903655005936123416991471606783655514127913968078801901775931436572761151861614475752136103016992482077104715249355511005640110453315152873522982919503119746364015782462932826487494897984907748547284109038824648487970805820257364421109989421483401324320528266925541525783407881472104689646375202164663028706472050323526716525212814683606518967355166939475427367846325992600992276261495236133576477308305292171627016998072453036920292711680868378069889257051817829492894542914224285078809060697116529339830341507934050733401239869895877676540328829620415605141054485350267980188556293803300885236927221061966326216967299045930931947343614404175651708865040797185396424741852636187558911273900150187510573286096306806242827100652287337808549236676613402555294944226451775584845150312010171697813352607286478994226373442152040429244644524611942125849474816836935416484145772603775120851590618922014392183507333048156347303932917791973241411752136228665136868820693656168071709327392212204828482905561958927865470400237276332390369448156381219945475911368563232019200378540173172063436275845939638435042236501121650983347032070422102565617729655468945282448712569930207230658718298876936622161807250267930300978208946420671350497725697999732579178413069948326320218273572347444036131092818633565125994062895657824439281857084717489803120419279413351437867609751856668958552613873309944143810643225522777764849182704047475209929250926533691337795706391819799180920677255763578279637509833506265451466222406726050666424982973075882190271846409253421216421605500174066150434574698475448626587956435335244124241903339900612330897335286878368861415837652701031099829114494297099994193008587133852666047773442764343476896701833785942957575417235878019137604631928376000063332669831046918325062313139547398494515524849092831556125710843695993338746659779900554033387915543788531179097148938179712160719407685547255036929144932835724168540909166334766014301434222976922822553768853922050334316742507166959510881397821289038491379839077165116287538521725464032256669634852809580372477374887011836490679139113406991571110013221802643344583932651926383032249532264596214539534311856721993427847245158486319420389599265581255869069525864513913996873265298374235642903773663083246366364436068139388147056568481325999661714817252284088681785099097974300889593627922401811244688154390114155700937123038985905789493121029715580711183949229453315229154622598283771680731094178486717948901054854199512224407641617122096808100962972342619661908703196799665897895522275062905951917558372372934162794277155825543509111123754373113153742936276563682683882770242083855435567689434821099283379613152201837324329791167076812962251890978063297101154751328188046160718558956287979038931931640565293735580374255680646031001521641414495730881035424755279603950682433606299758482235625824686871086729249355748855839928019054944162602123326197216970155248147967643402349395772080651684055925724933469555936587612422041086193959576014683976281265886830551951954903765746685795491288797971966418573744835111956822941047590040404877466020904834323460646960249275330708474109804607636782229739072373064923842467248810887202898257506601487127710058833896028579085331446469167063027598467541413196704675882785356663959972216061061035154099586834677035468464908105898039587438947212914884315757882484691837040599276559028388777824743548844355226530397908581437992387275689119145873491590008256455791888250364498045815829861533515468896357424348606820827456861971963531875802296982867151482415028800840860441913284408853979188711146585463666211325139670408093306646965713711258623074507103798219864954686064063226651415859375057237931254261753410244513810545310040752687698551552252863971393928921034464018622308798735357353820864715110074634239165384021187864492805460410494523978127808969605865608464326843110678198279405531314434692190281205287864616382335029333263835535009629464617996622053853602031637291757185884594353173818942421411893011352092780612397198329080336865283942606768758370880214171202182805451231000121420745985873209177315364095489175918516487556936724359528399525665929878000127098846778692819527134611745891983341634037376007887810682248097199551831238336989513009629365182467811014890057188761130357117186171657041304810109676197145757663547807854401736677927299014698458363356989120743474860938398587041312411475643330226256211562430658286850646145893810162538089477315223998117579811246014401128523645631391142035199947930112569478600046976750489340080135186859436798614141522646573886213292197092744427797451797913487699363436316362601672662021712979671220496117818141358854225496646724068211632306916430642421384678887326300784881847599576062230593484768086524822957191223547423333180570796492183499909765674330162028963152522635212}
30548 1501848840257922169314649451314702117107609609278002792643607239298893829816779485251520: {427546,580051,610780,732936,824553,946027,1037986,1769986,2257666,2407051,3175016,3232258,3571893,4771387,4813786,5037285,5373104,5496427,5733436,5907106,6044742,6464092,6943051,7303987,7479605,8385067,8975526,9283987,9542146,10181107,10528365,10685150,10871386,11076427,11230256,11434051,12078106,12326851,12634038,12822180,13217851,13524058,13676992,13751587,13754812,13764826,14125858,14186685,14486746,15132464,15264500,15386616,16769026,17024022,17120037,17309943,17728258,17793896,17998147,18317400,18579981,18877627,19538560,19670565,20018133,20293805,20607075,20981936,21077506,21497565,21674266,21980880,22119025,22930736,23421907,23446272,23604678,23913436,24352566,24652066,24728490,25420661,25786865,25797078,26021467,26077858,26257917,26377056,26542830,26671258,26884387,27027106,27229051,27366573,27501346,27745507,28312352,28604827,28991150,29277466,29563221,29674188,29986906,30094617,30147067,30414172,30547517,30944238,31259425,31851396,32449485,33361365,33407746,33760858,33808136,34612784,34789380,35171866,35245747,35585456,35826925,35876506,36257707,36315230,36712328,37049626,37108672,37236837,37435051,37511310,37938547,38034153,38593885,38776267,38939382,40012064,40033638,40209058,40279627,40792858,41257029,41301369,41747256,41913436,42109147,42308866,42772267,42992310,43266729,43268851,43356826,43578276,43639310,44085505,44287258,44425027,45013572,45100546,45426297,45858464,45891965,46206652,46312662,46840666,46890667,46965663,47054467,48199051,48215757,48755109,48924058,49270786,49754685,50152987,50411541,50639851,51126067,51232858,51449851,51573765,51590772,51695798,51878900,51914812,52039426,52367172,52384858,52750061,52902606,53071664,53386507,53869051,54078925,54089096,55012016,55070358,55291061,55533416,55792747,56060506,56909181,57069451,57387907,57536517,57777826,59605666,59705622,60176026,60714307,60850233,61016493,61260437,61344307,61888518,62254680,62475093,62478165,62680858,62757013,63383851,63696547,64165051,64244537,64384258,64894710,64951258,65220249,65291266,65559950,65627528,65744386,66084058,66187747,66404992,66643376,67028273,67362537,67749025,67923885,68344858,68378457,68506376,68506507,68757205,68767286,68831085,69221024,69275827,70036515,70656067,71161858,71420347,71449805,72452144,73183906,73335665,73419824,73744666,73830969,73851140,73853947,73859836,74705616,74753026,74973798,75175105,75357230,75968227,76207258,76419451,77069673,77619547,77757316,77873652,78671940,78802365,78964147,78987230,79113187,79775386,79998728,80109058,80599627,80664565,80879836,81298830,81402925,81508662,81553306,82108066,82508646,82597302,82884058,83110051,83916736,84043818,84055856,84137707,84284227,85599667,85739766,86032037,86200858,86421466,86718752,86874557,87054427,87199507,87514910,87854565,88002798,88404058,88621368,89223067,89269334,89801885,89998569,90024296,90085987,90210126,90428676,90567885,90820186,91681221,91777910,92463106,93337858,93653587,93665626,93711536,94394846,94406328,94562838,94648066,94782837,94784676,95068027,95087181,96282586,96605744,96797478,97558596,97610332,97683510,98238980,98303836,98563413,98564866,98595176,99545851,99699039,99865858,99961867,...,22368947553636094458774240885753433649914355482508904185125487207410175483271191870952118202852663897154859141727792421713628204154525488723115657072874033266508460165679972729310284474379254679619546023673694399239731242346977361622820926163558236972731956208730386046631664984132225101986480792400388312288675111822208157034469562803246994543059708075485290074787819222025409778451032750409213141051769488988901488414392242854200364715962457938257440525497108679555380439067521302567104833885577726744239341814371336427618213591045674794009745512261901076100101859804843816514810493244430623407711581728025401970282834440704951327855390831592949489325450948568896397921015421606263477563297561195778094637112778954281338366910850225281265859929144460209364240650978431006712823855014920103832942416339677663377267725468015257546720028910929718491339560163228060643866966786917913188774212225255403124726218658905662681277385928383021588275260999572234520955899376687959862117628204342997705303231040484252107563991088318307242724358342938391798205600355914498585554172234571829918213867052844848028800567810259758095154413768909457652563354751682476475020548105633153848426594483203417923673068854895310845988077448315404933242710875401895451467313419631007025746588546999598868767619604922489480327410358521166054196639227950347688991094343486736658922785627076234704680628919120027156801414627785003437828920809964916215715964838284166647273774056071212814893876389800537006693559587729698771381015883645367419456264750259398177199333610089075999637474459613823285407769613880131824632408250261099225651862047713172939881934653002866186362855009850918496346002930317553292123756479051546649743671741445649991289512880700778999071660164146515215345052750678914436363125853817028706406947892564000094999004746570377487593469709321097741773287273639247334188566265543990008119989669850831050081873315682796768645723407269568241079111528320882555393717399253586252811363749502149021452151334465384233830653280883075501475113760750439266322096731933557737069758615747674431307782588196048385004452279214370558716062330517754736018708670110487356665019832703965016875898977889574548374298396894321809301467785082990141770867737729479130584398898371883803604288796770870995309897947561353464355660494624869549546654102209082220584852721988999492572225878426133022677648646961451334390441883602716867032231585171233551405684558478858684239681544573371066775923844179972843731933897425657521096641267730076923351582281299268336611462425683145212151444458513929492863054795199498846843283412594358927876337558559401244191415733738315263666685631559669730614404414845524025824155363125783153351534152231648925069419728302755986494686750615219443377836467094945651732126992282069241077838434431968558397897460847940603370561383520969046502282462121743596321553137132919405926023650409449637723353438737030306630093874033623283759892028582416243903184989295825455232872221951465103524093658120977526083888587400204333904881418633061629290939364022025964421898830245827927932355648620028693236933196957949627860617252667935234411571385060607316199031357251485190970440373912996062711164706911455173344608608559597385763700873216330804347386259902230691565088250844042868627997169703750594541397701312119795057013824178034995939958324091591552731149380252015553202697362158847059381158420819372326473636823727037755560898914838542583166737115323266532839795596862872156988580913533678718810237385012384683687832375546747068723744792300273203344536136522910231241185292957945297813703445474300727223622543201261290662869926613280968783066719878195499316987709505612139959970448570566887934611760655697329797432029096094839977123789062585856896881392630115366770715817965061129031547827328379295957090893381551696027933463198103036030731297072665111951358748076031781796739208190615741785967191713454408798412696490264666017297419108296971652038285421807931796924573502543999895753302514444196926994933080780403047455937635778826891529760728413632117839517028139170918595797493620505297925913910153137556320321256803274208176846500182131118978809813765973046143233763877774731335405086539292599288498894817000190648270168039229290701917618837975012451056064011831716023372145799327746857505484269514444047773701716522335085783141695535675779257485561957215164514295718636495321711781602605016890948522047687545035483681115212291407597880561968617213464995339384317343645987430275969218840715243807134215972835997176369716869021601692785468447086713052799921895168854217900070465125734010120202780289155197921212283969860829319938295639116641696177696870231549045154474543902508993032569469506830744176727212038281338244970086102317448460374645963632077018330989451177322771399364093345890227152129787234435786835321134999770856194738275249864648511495243043444728783952818}
30549 1506473576823802409447664761932453796185119541247223898857302586939210704257064010346304: {641319,763475,916170,977248,1099404,1556979,2654979,2778139,3386499,3968770,4701466,4762524,4848387,6716380,7166795,7220679,7537699,8059656,8080115,8600154,8860659,9067113,9696138,9732371,9826474,11929019,11967368,12756106,13240906,13463289,13488514,13754147,14037820,14313219,15569659,15763847,16027725,16307079,16845384,17045587,17096240,17193515,18117159,18359194,18915580,18951057,19080625,19233270,20064394,20286087,20341499,20515488,20632218,20647239,21188787,21252227,21436579,21730119,22027498,22242370,22698696,22826716,22896750,23079924,23794727,24423200,24773308,25153539,25536033,25642931,26227420,26538499,26592387,26690844,27476100,28663420,28846378,29307840,29338114,29582119,29809571,29891795,30286186,31137274,31261696,31472904,31616259,32123287,32470088,32505538,32511399,32971320,34088938,34396104,35010556,35169408,35313571,35390440,35407017,35817287,35870154,35925466,36488764,36528849,36978099,37092735,38017715,38360194,38695617,39116787,39417628,39565584,39814245,40006887,40126156,40540659,41252019,41258984,41343719,42260170,42468528,42870346,42963539,43115059,43265980,43483018,43486725,43916199,44481820,44511282,44911306,44980359,45621258,45890410,46385840,46416357,46437706,46827779,47327959,47777094,48135514,48476179,48591739,49649116,49807571,50015080,50111619,50641287,50712204,51215027,51919176,52184070,52250027,52391795,52757799,53073514,53378184,53814759,54472845,55009372,55068492,55574439,55663008,56266965,57323080,57424087,57688972,57758315,58104368,58312954,58409073,59545639,59943079,60018096,60050457,60313587,60568396,61189287,61750216,62620884,62694491,62870154,63192706,63395626,63463299,63759047,64242346,64287676,64488465,64848625,64893515,65006812,65035239,65367414,65458965,65748947,66339580,66430887,67215388,67520358,67611370,67650819,68311498,68765020,68787696,69309978,69416770,69468993,69822896,69998887,70260999,70536808,70622506,72963946,73362439,73386087,73427144,73548874,73656131,73906179,75848459,75878908,76715356,76849287,77386158,77543697,77818350,77872218,78059139,78542411,78550758,78577287,78771259,79353909,79607496,80262631,81133644,81355324,81494218,81997594,82034410,82518024,82605537,83006240,83300124,83304220,84090759,84530026,84647914,85632970,86270779,86526280,86666739,86960332,87877387,88786666,89408499,89558433,89565971,89816716,90223939,90264039,90565180,91171276,91260379,91407898,91774780,92313925,92324795,92442946,92506519,92832777,93382020,94021287,94046599,95755739,96334714,96576387,96945994,97196645,97342065,97426887,97936899,98339925,98441292,98517227,98616579,98861434,99126087,99607488,99965064,99998410,...,33553421330454141688161361328630150474871533223763356277688230811115263224906787806428177304278995845732288712591688632570442306231788233084673485609311049899762690248519959093965426711568882019429319035510541598859596863520466042434231389245337355459097934313095579069947497476198337652979721188600582468433012667733312235551704344204870491814589562113227935112181728833038114667676549125613819711577654233483352232621588364281300547073943686907386160788245663019333070658601281953850657250828366590116359012721557004641427320386568512191014618268392851614150152789707265724772215739866645935111567372592038102955424251661057426991783086247389424233988176422853344596881523132409395216344946341793667141955669168431422007550366275337921898789893716690314046360976467646510069235782522380155749413624509516495065901588202022886320080043366394577737009340244842090965800450180376869783161318337883104687089327988358494021916078892574532382412891499358351781433849065031939793176442306514496557954846560726378161345986632477460864086537514407587697308400533871747878331258351857744877320800579267272043200851715389637142731620653364186478845032127523714712530822158449730772639891724805126885509603282342966268982116172473107399864066313102843177200970129446510538619882820499398303151429407383734220491115537781749081294958841925521533486641515230104988384178440614352057020943378680040735202121941677505156743381214947374323573947257426249970910661084106819222340814584700805510040339381594548157071523825468051129184397125389097265799000415133613999456211689420734928111654420820197736948612375391648838477793071569759409822901979504299279544282514776377744519004395476329938185634718577319974615507612168474986934269321051168498607490246219772823017579126018371654544688780725543059610421838846000142498507119855566231390204563981646612659930910458871001282849398315985012179984504776246575122809973524195152968585110904352361618667292481323833090576098880379379217045624253223532178227001698076350745979921324613252212670641125658899483145097900336605604637923621511646961673882294072577506678418821555838074093495776632104028063005165731034997529749055947525313848466834361822561447595341482713952201677624485212656301606594218695876598347557825705406433195156306492964846921342030196533490741937304324319981153313623330877279082983499238858338817639199534016472970442177001585662825404075300548347377756850327108526837718288026359522316860056600163885766269959265597900846138486281644961901595115385027373421948902504917193638524717818227166687770894239294582192799248270264925118891538391814506337839101866287123600607472895500028447339504595921606622268286038736233044688674730027301228347473387604129592454133979742030125922829165066754700642418477598190488423103861616757651647952837596846191271910905055842075281453569753423693182615394482329705699379108889035475614174456585030158105545459945140811050434925639838042873624365854777483943738182849308332927197655286140487181466289125832881100306500857322127949592443936409046033038946632848245368741891898533472930043039855399795436924441790925879001902851617357077590910974298547035877227786455660560869494094066747060367182760016912912839396078645551309824496206521079389853346037347632376266064302941995754555625891812096551968179692585520736267052493909937486137387329096724070378023329804046043238270589071737631229058489710455235590556633341348372257813874750105672984899799259693395294308235482871370300518078215356077518577025531748563320120603085617188450409805016804204784365346861777939436917946720555168211451090835433814801891935994304889919921453174600079817293248975481564258418209939955672855850331901917640983545994696148043644142259965685683593878785345322088945173050156073726947591693547321740992568943935636340072327544041900194797154554046096945608997667927038122114047672695108812285923612678950787570181613197619044735396999025946128662445457478057428132711897695386860253815999843629953771666295390492399621170604571183906453668240337294641092620448176759275542208756377893696240430757946888870865229706334480481885204911312265269750273196678468214720648959569214850645816662097003107629808938898932748342225500285972405252058843936052876428256962518676584096017747574035058218698991620286258226404271666071660552574783502628674712543303513668886228342935822746771443577954742982567672403907525336422783071531317553225521672818437111396820842952925820197493009076476015468981145413953828261072865710701323959253995764554575303532402539178202670630069579199882842753281326850105697688601015180304170433732796881818425954791243979907443458674962544266545305347323567731711815853763489548854204260246116265090818057422007367455129153476172690561968945448115527496484176765984157099046140018835340728194680851653680252981702499656284292107412874796972767242864565167093175929227}
30550 1511112472324200177763327398364086276298450109112197737781295841635776986808303391902652: {335929,855092,1160102,1221560,1250869,1374255,1465872,1616341,1649106,1798969,1892054,2075972,2528761,3075349,3539972,4515332,4814102,5953155,6350032,6464516,6883321,7052199,7143786,7785301,8395475,8505589,9542774,9627572,10074570,10471447,10480441,10659541,10746208,10992854,11466872,11732629,11814212,12089484,12900231,12928184,12981289,13871029,13886102,14404009,14544207,14607974,14739711,14758969,14959210,15113641,15645109,16770134,17547275,17951052,18567974,19084292,19134159,19861359,20224021,20232771,20362214,20399161,21056730,21370300,21742772,22152854,22460512,22669429,22868102,23644475,23713141,24060469,24156212,24580921,24653702,25268076,25644360,26138389,26311081,26435702,27048116,27353984,27503174,27509624,27529652,27538791,28251716,28373370,28411327,28533395,28849905,28892821,28973492,29064361,29920981,30092089,30096591,30264928,30529000,30773232,30946549,30948327,30966635,32309941,32784275,33041247,33363555,33538052,33838249,34048044,34177081,34240074,34345125,34619886,34853881,35456516,35587792,35698261,35829275,35866921,35996294,36101611,36634800,37159962,37755254,38220601,38555689,39077120,39341130,40036266,40587610,40618127,41214150,41558521,41963872,42155012,42995130,43216681,43269567,43348532,43763195,43961760,44007171,44208121,44238050,45429279,45526009,45610955,45861472,46347349,46705911,46843814,46892544,47209356,47826872,48705132,48758307,49272035,49304132,49456980,49939861,50157695,50841322,51133407,51573730,51594156,52042934,52155716,52515834,52754112,53014441,53085660,53342516,53768774,53805231,53888199,54031439,54054212,54082475,54140629,54458102,54461749,54622201,54733146,55002692,55263289,55491014,55602275,56542009,56624704,57179641,57209654,57540291,57982300,58554932,59126442,59348376,59402281,59973812,60034729,60189234,60294134,60823669,60828344,61095034,61719707,61888476,62061395,62518850,63390255,63492601,63702792,64117561,64248751,64273621,64305519,64898970,65224527,65985529,66722730,66766923,66815492,67366959,67521716,67534249,67616272,68431887,68614069,68761715,68835615,69225568,69578760,69656559,70140191,70343732,70491494,70916089,71170912,71374549,71653850,71665641,71753012,72111215,72203271,72515414,72630460,72898069,73424656,73505461,74099252,74111701,74167379,74217344,74473674,74870102,75022620,75169849,75710495,75877094,76068306,76224469,77125621,77187770,77552534,77724949,77878764,78276105,79218229,79610271,80024128,80067276,80110741,80259241,80359595,80418116,80559254,81148729,81258515,81585716,81887989,82514058,82602738,82625449,82919929,82924475,83214121,83494512,83654869,83826872,84019235,84218294,84617732,85544534,85557289,85956275,85984620,86533458,86537702,86713652,87156552,87278620,87469431,88026709,88171010,88574516,88749049,88850054,90027144,90201092,90852594,91334569,91620409,91716928,91783930,92413304,92476201,92625324,93681332,93781334,93931326,94108934,94305231,94462969,94789059,94848635,95093439,95451061,95591929,95894195,96014101,96260087,96363519,96398102,96431514,97510218,97556521,97848116,98051121,98394169,98541572,98672809,99368149,99509370,...,44737895107272188917548481771506867299828710965017808370250974414820350966542383741904236405705327794309718283455584843427256408309050977446231314145748066533016920331359945458620568948758509359239092047347388798479462484693954723245641852327116473945463912417460772093263329968264450203972961584800776624577350223644416314068939125606493989086119416150970580149575638444050819556902065500818426282103538977977802976828784485708400729431924915876514881050994217359110760878135042605134209667771155453488478683628742672855236427182091349588019491024523802152200203719609687633029620986488861246815423163456050803940565668881409902655710781663185898978650901897137792795842030843212526955126595122391556189274225557908562676733821700450562531719858288920418728481301956862013425647710029840207665884832679355326754535450936030515093440057821859436982679120326456121287733933573835826377548424450510806249452437317811325362554771856766043176550521999144469041911798753375919724235256408685995410606462080968504215127982176636614485448716685876783596411200711828997171108344469143659836427734105689696057601135620519516190308827537818915305126709503364952950041096211266307696853188966406835847346137709790621691976154896630809866485421750803790902934626839262014051493177093999197737535239209844978960654820717042332108393278455900695377982188686973473317845571254152469409361257838240054313602829255570006875657841619929832431431929676568333294547548112142425629787752779601074013387119175459397542762031767290734838912529500518796354398667220178151999274948919227646570815539227760263649264816500522198451303724095426345879763869306005732372725710019701836992692005860635106584247512958103093299487343482891299982579025761401557998143320328293030430690105501357828872726251707634057412813895785128000189998009493140754975186939418642195483546574547278494668377132531087980016239979339701662100163746631365593537291446814539136482158223056641765110787434798507172505622727499004298042904302668930768467661306561766151002950227521500878532644193463867115474139517231495348862615565176392096770008904558428741117432124661035509472037417340220974713330039665407930033751797955779149096748596793788643618602935570165980283541735475458958261168797796743767607208577593541741990619795895122706928711320989249739099093308204418164441169705443977998985144451756852266045355297293922902668780883767205433734064463170342467102811369116957717368479363089146742133551847688359945687463867794851315042193282535460153846703164562598536673222924851366290424302888917027858985726109590398997693686566825188717855752675117118802488382831467476630527333371263119339461228808829691048051648310726251566306703068304463297850138839456605511972989373501230438886755672934189891303464253984564138482155676868863937116795794921695881206741122767041938093004564924243487192643106274265838811852047300818899275446706877474060613260187748067246567519784057164832487806369978591650910465744443902930207048187316241955052167777174800408667809762837266123258581878728044051928843797660491655855864711297240057386473866393915899255721234505335870468823142770121214632398062714502970381940880747825992125422329413822910346689217217119194771527401746432661608694772519804461383130176501688085737255994339407501189082795402624239590114027648356069991879916648183183105462298760504031106405394724317694118762316841638744652947273647454075511121797829677085166333474230646533065679591193725744313977161827067357437620474770024769367375664751093494137447489584600546406689072273045820462482370585915890595627406890948601454447245086402522581325739853226561937566133439756390998633975419011224279919940897141133775869223521311394659594864058192189679954247578125171713793762785260230733541431635930122258063095654656758591914181786763103392055866926396206072061462594145330223902717496152063563593478416381231483571934383426908817596825392980529332034594838216593943304076570843615863593849147005087999791506605028888393853989866161560806094911875271557653783059521456827264235679034056278341837191594987241010595851827820306275112640642513606548416353693000364262237957619627531946092286467527755549462670810173078585198576997789634000381296540336078458581403835237675950024902112128023663432046744291598655493715010968539028888095547403433044670171566283391071351558514971123914430329028591437272990643423563205210033781897044095375090070967362230424582815195761123937234426929990678768634687291974860551938437681430487614268431945671994352739433738043203385570936894173426105599843790337708435800140930251468020240405560578310395842424567939721658639876591278233283392355393740463098090308949087805017986065138939013661488353454424076562676489940172204634896920749291927264154036661978902354645542798728186691780454304259574468871573670642269999541712389476550499729297022990486086889457567905636}
30551 1515765569856898416225391918792409976444893962163212727875469753288297173731502985590257: {1068865,1282638,1526950,1740153,1832340,1954496,2198808,2473659,2594965,2838081,3113958,3694009,4424965,5309958,5556278,5644165,6772998,7221153,7720801,7937540,8080645,8819413,9402932,9525048,9696774,10033513,10403569,10715679,11312161,11501893,12034465,13332433,13432760,14314161,14333590,14425081,14441358,14767765,15075398,15111855,15764881,16119312,16160230,16254901,16489281,17200308,17721318,18134226,18630001,19182613,19392276,19464742,19652948,20829153,21253621,21744361,21911961,22288921,22438815,23752489,23796289,23855365,23858038,23934736,24070921,24465001,25155201,25512212,25644613,25947841,26481812,26712875,26926578,26977028,27178465,27411409,27508294,27851961,28075640,28121041,28626438,30195265,30543321,31139318,31527694,31585095,32055450,32614158,33229281,33690768,33810145,34091174,34192480,34302153,34387030,34412065,34701913,35229493,35314645,36216865,36234318,36486769,36718388,36980553,37820761,37831160,37902114,38161250,38466540,39653553,40128788,40572174,40682998,41030976,41254761,41264436,41294478,41346433,41848513,41922565,42329521,42377574,42504454,42560055,42745201,42873158,43460238,44054996,44320645,44484740,45397392,45653432,45793500,45817321,46159848,46830853,47589454,48018073,48846400,49546616,49810849,50057281,50307078,50476129,51072066,51218389,51285862,51360111,51929829,52454840,52693765,52982113,53076998,53184774,53224801,53284681,53381688,53713321,53994441,54185665,54952200,55325833,55346713,55739943,56632881,57326840,57692756,57788401,58397089,58615680,58676228,58863493,59011695,59164238,59619142,59783590,60054399,60572372,60881415,61630165,61821225,62274548,62523392,62945808,63232518,64246574,64426681,64460533,64492695,64940176,65011076,65022798,65194645,65942640,66357075,66416449,66678145,67018249,67567765,67707481,67891561,68177876,68753365,68792208,70021112,70265721,70338816,70627142,70681921,70780880,70814034,71634574,71740308,71850932,72477875,72977528,73057698,73193665,73348513,73956198,74185470,74967265,75351601,75691561,76035430,76152949,76261983,76720388,77249113,77360595,77391234,77676841,77703301,78064401,78233574,78773751,78835256,79131168,79628490,80013774,80252312,80653161,80861641,81081318,81687153,82099719,82504038,82517968,82687438,83236521,83519365,83959129,84402145,84520340,84937056,85740692,85814481,85927078,86211913,86230118,86531960,86966036,86973450,87832398,87929665,88689663,88963640,89022564,89571889,89691265,89822612,89960718,90231889,90283851,90441201,90788075,90850921,91242516,91642551,91780820,92624065,92771680,92832714,92875412,93453601,93530569,93655558,93778275,94655918,95554188,95762041,96271028,96952358,97153633,97183478,97348455,98566009,99298232,99548821,99615142,...,67106842660908283376322722657260300949743066447526712555376461622230526449813575612856354608557991691464577425183377265140884612463576466169346971218622099799525380497039918187930853423137764038858638071021083197719193727040932084868462778490674710918195868626191158139894994952396675305959442377201164936866025335466624471103408688409740983629179124226455870224363457666076229335353098251227639423155308466966704465243176728562601094147887373814772321576491326038666141317202563907701314501656733180232718025443114009282854640773137024382029236536785703228300305579414531449544431479733291870223134745184076205910848503322114853983566172494778848467976352845706689193763046264818790432689892683587334283911338336862844015100732550675843797579787433380628092721952935293020138471565044760311498827249019032990131803176404045772640160086732789155474018680489684181931600900360753739566322636675766209374178655976716988043832157785149064764825782998716703562867698130063879586352884613028993115909693121452756322691973264954921728173075028815175394616801067743495756662516703715489754641601158534544086401703430779274285463241306728372957690064255047429425061644316899461545279783449610253771019206564685932537964232344946214799728132626205686354401940258893021077239765640998796606302858814767468440982231075563498162589917683851043066973283030460209976768356881228704114041886757360081470404243883355010313486762429894748647147894514852499941821322168213638444681629169401611020080678763189096314143047650936102258368794250778194531598000830267227998912423378841469856223308841640395473897224750783297676955586143139518819645803959008598559088565029552755489038008790952659876371269437154639949231015224336949973868538642102336997214980492439545646035158252036743309089377561451086119220843677692000284997014239711132462780409127963293225319861820917742002565698796631970024359969009552493150245619947048390305937170221808704723237334584962647666181152197760758758434091248506447064356454003396152701491959842649226504425341282251317798966290195800673211209275847243023293923347764588145155013356837643111676148186991553264208056126010331462069995059498111895050627696933668723645122895190682965427904403355248970425312603213188437391753196695115651410812866390312612985929693842684060393066981483874608648639962306627246661754558165966998477716677635278399068032945940884354003171325650808150601096694755513700654217053675436576052719044633720113200327771532539918531195801692276972563289923803190230770054746843897805009834387277049435636454333375541788478589164385598496540529850237783076783629012675678203732574247201214945791000056894679009191843213244536572077472466089377349460054602456694946775208259184908267959484060251845658330133509401284836955196380976846207723233515303295905675193692382543821810111684150562907139506847386365230788964659411398758217778070951228348913170060316211090919890281622100869851279676085747248731709554967887476365698616665854395310572280974362932578251665762200613001714644255899184887872818092066077893265696490737483783797066945860086079710799590873848883581851758003805703234714155181821948597094071754455572911321121738988188133494120734365520033825825678792157291102619648992413042158779706692074695264752532128605883991509111251783624193103936359385171041472534104987819874972274774658193448140756046659608092086476541178143475262458116979420910471181113266682696744515627749500211345969799598519386790588616470965742740601036156430712155037154051063497126640241206171234376900819610033608409568730693723555878873835893441110336422902181670867629603783871988609779839842906349200159634586497950963128516836419879911345711700663803835281967091989392296087288284519931371367187757570690644177890346100312147453895183387094643481985137887871272680144655088083800389594309108092193891217995335854076244228095345390217624571847225357901575140363226395238089470793998051892257324890914956114856265423795390773720507631999687259907543332590780984799242341209142367812907336480674589282185240896353518551084417512755787392480861515893777741730459412668960963770409822624530539500546393356936429441297919138429701291633324194006215259617877797865496684451000571944810504117687872105752856513925037353168192035495148070116437397983240572516452808543332143321105149567005257349425086607027337772456685871645493542887155909485965135344807815050672845566143062635106451043345636874222793641685905851640394986018152952030937962290827907656522145731421402647918507991529109150607064805078356405341260139158399765685506562653700211395377202030360608340867465593763636851909582487959814886917349925088533090610694647135463423631707526979097708408520492232530181636114844014734910258306952345381123937890896231054992968353531968314198092280037670681456389361703307360505963404999312568584214825749593945534485729130334186351858454}
30552 1520432912650104249305468235787633285864710158820067668894506455294339545796511833614561: {397007,671858,702167,1311887,1710184,1799087,1859951,1923957,2290425,2320204,2443120,2501738,2528927,2748510,2931744,3136247,3232682,3298212,3597938,3784108,4151944,4530047,4670937,4953407,5057522,6150698,6401951,6943967,7064327,7079944,7244807,7964937,8334417,8506151,8566127,8865887,9030664,9404951,9628204,9921925,10159497,10540847,11554727,11753665,11906310,12625727,12700064,12929032,13041527,13219607,13338287,13516247,13766642,13871951,13931207,14104398,14287572,14545161,15570602,15705167,16235951,16790950,16883807,17011178,17060327,17765687,18880151,19085548,19255144,20108567,20149140,20925551,20942894,20960882,21319082,21449927,21492416,21500385,21662037,21857327,21985708,22613097,22933744,23465258,23628424,24119951,24178968,24240345,24566185,24640367,25800462,25856368,25962578,26140151,26197727,26581977,27002951,27201339,27232727,27742058,27772204,27863951,28207847,28723151,28808018,29066327,29088414,29197113,29215948,29479422,29517938,29918420,30151151,30227282,31005551,31290218,31517327,31890265,32652287,33048767,33102265,33218567,33540268,33721285,33840551,33897047,34179407,35094550,35588207,35787057,35902104,36599447,37135948,37552127,38055551,38168584,38268318,38614151,39722718,39728951,39946753,40062767,40389867,40448042,40465542,40724428,40785047,40798322,41262441,41450567,41616767,42113460,42225551,42740600,42939657,43274807,43353289,43385087,43485544,44305708,44431151,44760887,44921024,45338858,45736204,45897985,46708977,46842527,47288950,47291541,47426282,48003241,48083175,48120938,48312424,48858287,48921237,49161842,49292687,49307404,50160985,50536152,50646887,51136761,51288720,51580545,51780551,52276778,52372967,52622162,52871404,54096232,54144407,54351477,54707968,55006348,55019248,55059304,55068745,55077582,55267151,55320527,55605925,55747247,56386367,56503432,56545967,56746740,56822654,56853171,56918087,57066790,57183647,57241875,57395951,57699810,57785642,57946984,58128722,58138007,58508447,59459207,59841962,60091607,60184178,60193182,60529856,60827951,60858261,60880487,61024497,61058000,61268473,61546464,61893098,61896654,61933270,61941717,62452847,63497087,63566361,63756681,63855337,64174127,64278167,64309737,64619882,65190357,65568550,65834927,66041951,66082494,66300551,66727110,66817151,67076104,67281407,67676498,68096088,68354162,68480148,68618951,68690250,68980849,69239772,69707762,70220773,70666151,70913032,71175584,71384181,71396522,71430551,71658550,71733842,71992588,72115945,72203222,72446951,72903287,73269600,73345285,73510727,74167487,74319924,75460617,75510508,75715465,75928967,76430447,76441202,76530647,76608099,76928793,77111378,77431007,77730551,77780447,77843185,78154240,78179327,78682260,78975551,79223951,79615497,79670567,79777161,80072532,81175220,81236254,81263845,81893927,81943151,82428300,82680551,82892953,82925951,83117042,83220167,83927744,84310024,85222345,85612151,85990260,86433362,86539134,86697064,86885953,87308951,87526390,87652357,87923520,88014342,88416242,88476100,88746357,88803647,89236151,89428713,89675385,89813665,89907647,90242807,90858558,91052018,91221910,91388951,91674767,91722944,92694698,93411822,93478247,93687628,93761951,93785088,94418712,94469951,94848777,95645951,95653744,95900485,96068087,96266401,96349151,96369861,96863687,97410264,97516614,97534197,97750151,98401487,98544070,98608264,98680151,98726567,98913960,99143951,99791927,99879722,...,100660263991362425064484083985890451424614599671290068833064692433345789674720363419284531912836987537196866137775065897711326918695364699254020456827933149699288070745559877281896280134706646058287957106531624796578790590561398127302694167736012066377293802939286737209842492428595012958939163565801747405299038003199936706655113032614611475443768686339683805336545186499114344003029647376841459134732962700450056697864765092843901641221831060722158482364736989057999211975803845861551971752485099770349077038164671013924281961159705536573043854805178554842450458369121797174316647219599937805334702117776114308866272754983172280975349258742168272701964529268560033790644569397228185649034839025381001425867007505294266022651098826013765696369681150070942139082929402939530207707347567140467248240873528549485197704764606068658960240130099183733211028020734526272897401350541130609349483955013649314061267983965075482065748236677723597147238674498075055344301547195095819379529326919543489673864539682179134484037959897432382592259612543222763091925201601615243634993775055573234631962401737801816129602555146168911428194861960092559436535096382571144137592466475349192317919675174415380656528809847028898806946348517419322199592198939308529531602910388339531615859648461498194909454288222151202661473346613345247243884876525776564600459924545690314965152535321843056171062830136040122205606365825032515470230143644842122970721841772278749912731983252320457667022443754102416530121018144783644471214571476404153387553191376167291797397001245400841998368635068262204784334963262460593210845837126174946515433379214709278229468705938512897838632847544329133233557013186428989814556904155731959923846522836505424960802807963153505495822470738659318469052737378055114963634066342176629178831265516538000427495521359566698694170613691944939837979792731376613003848548194947955036539953514328739725368429920572585458905755332713057084856001877443971499271728296641138137651136872759670596534681005094229052237939763973839756638011923376976698449435293701009816813913770864534940885021646882217732520035256464667514222280487329896312084189015497193104992589247167842575941545400503085467684342786024448141856605032873455637968904819782656087629795042673477116219299585468919478894540764026090589600472225811912972959943459940869992631837248950497716575016452917598602049418911326531004756988476212225901645042133270550981325580513154864079078566950580169800491657298809877796793702538415458844934885704785346155082120265846707514751580915574153454681500063312682717883746578397744810794775356674615175443519013517305598861370801822418686500085342018513787764819866804858116208699134066024190081903685042420162812388777362401939226090377768487495200264101927255432794571465269311584850272954943858512790538573815732715167526225844360709260271079547846183446989117098137326667106426842523369755090474316636379835422433151304776919514128620873097564332451831214548547924998781592965858421461544398867377498643300919502571966383848777331809227138099116839898544736106225675695600418790129119566199386310773325372777637005708554852071232772732922895641107631683359366981682608482282200241181101548280050738738518188235936653929473488619563238169560038112042897128798192908825987263666877675436289655904539077756562208801157481729812458412161987290172211134069989412138129714811767215212893687175469131365706771669900024045116773441624250317018954699397779080185882924706448614110901554234646068232555731076595245689960361809256851565351229415050412614353096040585333818310753840161665504634353272506301444405675807982914669759764359523800239451879746926444692775254629819867018567550995705752922950637984088444130932426779897057050781636356035966266835519150468221180842775080641965222977706831806909020216982632125700584391463662138290836826993003781114366342143018085326436857770838036852362710544839592857134206190997077838385987336372434172284398135693086160580761447999530889861314998886171477198863511813713551719361004721011883923277861344530277826626626269133681088721292273840666612595689119003441445655614733936795809250819590035404644161946878707644551937449986291009322889426816696798245026676500857917215756176531808158629284770887556029752288053242722105174656096974860858774679212814998214981657724350507886024137629910541006658685028807468240314330733864228947703017211722576009268349214593952659676565018455311334190462528858777460592479027229428046406943436241861484783218597132103971877761987293663725910597207617534608011890208737599648528259843980550317093065803045540912511301198390645455277864373731939722330376024887632799635916041970703195135447561290468646562612780738348795272454172266022102365387460428518071685906836344346582489452530297952471297138420056506022184584042554961040758945107498968852876322238624390918301728593695501279527787681}
30553 1525114544062841392368787146120853008072570531217103890232630551882893299544431547044131: {30553,1007787,1496411,2137730,2565276,2900255,3053900,3480306,3632951,3664680,3752607,3908992,4122765,4365647,4397616,4730135,4849023,4947318,5189930,5396907,5676162,6194951,6227916,7388018,7586283,7901831,8849930,9124583,9226047,9856991,10619916,11112556,11288330,11312903,12035255,12295127,13545996,14442306,15441602,15875080,16161290,16848251,17047823,17638826,17859465,18631223,18805864,19050096,19393548,20067026,20649963,20674871,20807138,21156597,21431358,21439391,22290383,22624322,23003786,23355903,23754047,23856935,24068930,24466607,24911147,25186425,25516767,25949543,26664866,26865520,27413207,27482135,28122887,28628322,28667180,28850162,28882716,28913183,29301851,29535530,30150796,30223710,31414341,31441323,31529762,31978623,32238624,32320460,32509802,32978562,33397511,34400616,34704191,34715255,35197887,35442636,36268452,36519935,37260002,37398025,38049851,38365226,38700693,38784491,38784552,38929484,38943867,39305896,41613087,41658306,41925335,42273371,42507242,42748007,43120727,43212027,43488722,43632621,43823922,44219133,44276907,44577842,44697263,44877630,45340923,46419935,46486187,46935327,47334203,47504978,47592578,47710730,47716076,47869472,48141842,48176891,48930002,49440503,50060567,50310402,50479451,50703611,50905535,51024424,51289226,51895682,52641825,52963624,52985591,53425750,53716847,53853156,53954056,54147743,54356930,54822818,55016588,55382135,55703922,56151280,56242082,56333483,56381231,57170255,57252876,57402477,58691591,58867367,59553467,59584077,59653607,60390530,60672063,60698313,61086642,61197483,61634255,61858091,62048903,62278636,63055388,63170190,64110900,65228316,66089255,66458562,67381536,67620290,68008287,68182348,68295383,68384960,68604306,68757935,68774060,68824130,68906087,69403826,70458986,70629290,70933425,71139423,72081563,72181407,72433730,72468636,72973538,73436776,73742763,73771271,73961106,74372507,75483071,75641522,75662320,75673067,75804228,75859931,76140623,76322500,76358447,76933080,78415167,78492167,78933243,79307106,79867727,80257576,81144348,81365996,82061952,82509522,82528872,82588956,82616373,82692866,83697026,83845130,84659042,84755148,85008908,85120110,85233981,85490402,85591151,85600185,85746316,86282231,86549715,86678463,86920476,87193083,88109992,88641290,88807163,88969480,89453663,89762943,89990735,90237851,90276267,90289773,90794784,91272503,91306864,91587000,91634642,91799903,92319696,92839647,92844981,92899905,93349403,93661706,94196267,94388135,94594871,95178908,96036146,96254711,96354491,96929823,97160027,97692800,98352825,99093232,99123741,99621698,...,134213685321816566752645445314520601899486132895053425110752923244461052899627151225712709217115983382929154850366754530281769224927152932338693942437244199599050760994079836375861706846275528077717276142042166395438387454081864169736925556981349421836391737252382316279789989904793350611918884754402329873732050670933248942206817376819481967258358248452911740448726915332152458670706196502455278846310616933933408930486353457125202188295774747629544643152982652077332282634405127815402629003313466360465436050886228018565709281546274048764058473073571406456600611158829062899088862959466583740446269490368152411821697006644229707967132344989557696935952705691413378387526092529637580865379785367174668567822676673725688030201465101351687595159574866761256185443905870586040276943130089520622997654498038065980263606352808091545280320173465578310948037360979368363863201800721507479132645273351532418748357311953433976087664315570298129529651565997433407125735396260127759172705769226057986231819386242905512645383946529909843456346150057630350789233602135486991513325033407430979509283202317069088172803406861558548570926482613456745915380128510094858850123288633798923090559566899220507542038413129371865075928464689892429599456265252411372708803880517786042154479531281997593212605717629534936881964462151126996325179835367702086133946566060920419953536713762457408228083773514720162940808487766710020626973524859789497294295789029704999883642644336427276889363258338803222040161357526378192628286095301872204516737588501556389063196001660534455997824846757682939712446617683280790947794449501566595353911172286279037639291607918017197118177130059105510978076017581905319752742538874309279898462030448673899947737077284204673994429960984879091292070316504073486618178755122902172238441687355384000569994028479422264925560818255926586450639723641835484005131397593263940048719938019104986300491239894096780611874340443617409446474669169925295332362304395521517516868182497012894128712908006792305402983919685298453008850682564502635597932580391601346422418551694486046587846695529176290310026713675286223352296373983106528416112252020662924139990118996223790101255393867337447290245790381365930855808806710497940850625206426376874783506393390231302821625732780625225971859387685368120786133962967749217297279924613254493323509116331933996955433355270556798136065891881768708006342651301616301202193389511027401308434107350873152105438089267440226400655543065079837062391603384553945126579847606380461540109493687795610019668774554098871272908666751083576957178328771196993081059700475566153567258025351356407465148494402429891582000113789358018383686426489073144154944932178754698920109204913389893550416518369816535918968120503691316660267018802569673910392761953692415446467030606591811350387384765087643620223368301125814279013694772730461577929318822797516435556141902456697826340120632422181839780563244201739702559352171494497463419109935774952731397233331708790621144561948725865156503331524401226003429288511798369775745636184132155786531392981474967567594133891720172159421599181747697767163703516007611406469428310363643897194188143508911145822642243477976376266988241468731040067651651357584314582205239297984826084317559413384149390529505064257211767983018222503567248386207872718770342082945068209975639749944549549316386896281512093319216184172953082356286950524916233958841820942362226533365393489031255499000422691939599197038773581177232941931485481202072312861424310074308102126994253280482412342468753801639220067216819137461387447111757747671786882220672845804363341735259207567743977219559679685812698400319269172995901926257033672839759822691423401327607670563934183978784592174576569039862742734375515141381288355780692200624294907790366774189286963970275775742545360289310176167600779188618216184387782435990671708152488456190690780435249143694450715803150280726452790476178941587996103784514649781829912229712530847590781547441015263999374519815086665181561969598484682418284735625814672961349178564370481792707037102168835025511574784961723031787555483460918825337921927540819645249061079001092786713872858882595838276859402583266648388012430519235755595730993368902001143889621008235375744211505713027850074706336384070990296140232874795966481145032905617086664286642210299134010514698850173214054675544913371743290987085774311818971930270689615630101345691132286125270212902086691273748445587283371811703280789972036305904061875924581655815313044291462842805295837015983058218301214129610156712810682520278316799531371013125307400422790754404060721216681734931187527273703819164975919629773834699850177066181221389294270926847263415053958195416817040984465060363272229688029469820516613904690762247875781792462109985936707063936628396184560075341362912778723406614721011926809998625137168429651499187891068971458260668372703716908}
30554 1529810507585343733858586725440633928462635860655745756304675678036701531451773189650533: {794014,1129129,1343716,1404334,1860073,2623774,3206595,3420368,3598174,3719902,3817375,3847914,3864229,4580850,4590853,4640408,4886240,4953733,5003476,5057854,5220459,5497020,5863488,6272494,6465364,6596424,7195876,7305433,7420977,7568216,7784895,8303888,8514243,8566693,9060094,9341874,9465433,9906814,10003813,10115044,11078629,11082027,11257513,12301396,12685993,12803902,13274895,13754329,13887934,13890695,13932133,14128654,14159888,14489614,15929874,16237033,16455131,16668834,16932495,17012302,17120293,17132254,17731774,18061328,18177829,18809902,19256408,19843850,20109913,20318994,20635333,21081694,21663459,22382053,23109454,23162403,23507330,23812620,24241935,25251454,25400128,25858064,26083054,26199493,26439214,26458239,26676574,27032494,27533284,27743902,27862414,28208796,28575144,28610629,29090322,30100539,31141204,31210707,31410334,32147037,32471902,32881129,33581900,33767614,33899353,33936483,34022356,34120654,34392659,34407493,34505679,35531374,35833975,36103395,37688495,37760302,38114053,38171096,38510288,39997299,40217134,40287913,40298280,40400575,41453413,41851102,41885788,41921764,42283753,42638164,42899854,42942483,42984832,43000770,43275243,43324074,43714654,43971416,44303295,44434213,44646371,45226194,45335565,45867488,46343171,46900393,46930516,47064229,47209799,47256848,47294643,48239902,48357936,48480690,48661855,48764703,49132370,49280734,49467843,50163433,50325829,51298693,51600924,51712736,51784153,51925156,52280302,52395454,52591813,53163954,53558629,54005902,54402678,54465454,55324393,55484116,55544408,55727902,55804453,55890003,56415694,56731103,57446302,57547839,57559129,57616036,58132654,58176828,58394226,58431896,58958844,59035876,59645095,59836840,60302302,60454564,60884773,61357273,62011102,62457253,62487459,62580436,63034654,63760863,63780530,64257179,65233083,65304574,65735883,66097534,66204530,66437134,66821893,66866763,67080536,67316445,67442570,67681102,67794094,68358814,68770735,69290629,69444313,70189100,70211653,70225379,71176414,71257467,71388867,71566095,71574114,71588329,71804208,72212763,72502873,73198894,73395003,74271896,74475493,75104254,75381829,75465603,75984613,76111102,76337168,76536636,76933839,77096243,77228302,77486533,77786053,77843523,77848295,78819235,79130329,79445436,79457902,79893506,80125534,80138625,80779734,80896084,80931084,81448856,81535395,81570094,81596644,81949093,82234227,82524882,82901134,83233534,83555883,84226920,84302629,84363123,84451102,84906547,85227935,85481200,85879314,85967575,86549614,86706578,86770174,86971088,87218629,87943129,88611416,88862302,89242693,89521774,89842048,89962153,90249433,90585795,90677716,90966373,91472408,91629963,91795970,93417954,93685054,93816133,94577900,94583082,94755285,94852564,94947973,95403125,96006482,96166350,96241876,96624848,96988111,97197829,97716574,97842474,97964399,98323684,98585374,98614808,98733913,99151333,99687843,...,201320527982724850128968167971780902849229199342580137666129384866691579349440726838569063825673975074393732275550131795422653837390729398508040913655866299398576141491119754563792560269413292116575914213063249593157581181122796254605388335472024132754587605878573474419684984857190025917878327131603494810598076006399873413310226065229222950887537372679367610673090372998228688006059294753682918269465925400900113395729530185687803282443662121444316964729473978115998423951607691723103943504970199540698154076329342027848563922319411073146087709610357109684900916738243594348633294439199875610669404235552228617732545509966344561950698517484336545403929058537120067581289138794456371298069678050762002851734015010588532045302197652027531392739362300141884278165858805879060415414695134280934496481747057098970395409529212137317920480260198367466422056041469052545794802701082261218698967910027298628122535967930150964131496473355447194294477348996150110688603094390191638759058653839086979347729079364358268968075919794864765184519225086445526183850403203230487269987550111146469263924803475603632259205110292337822856389723920185118873070192765142288275184932950698384635839350348830761313057619694057797613892697034838644399184397878617059063205820776679063231719296922996389818908576444302405322946693226690494487769753051553129200919849091380629930305070643686112342125660272080244411212731650065030940460287289684245941443683544557499825463966504640915334044887508204833060242036289567288942429142952808306775106382752334583594794002490801683996737270136524409568669926524921186421691674252349893030866758429418556458937411877025795677265695088658266467114026372857979629113808311463919847693045673010849921605615926307010991644941477318636938105474756110229927268132684353258357662531033076000854991042719133397388341227383889879675959585462753226007697096389895910073079907028657479450736859841145170917811510665426114169712003754887942998543456593282276275302273745519341193069362010188458104475879527947679513276023846753953396898870587402019633627827541729069881770043293764435465040070512929335028444560974659792624168378030994386209985178494335685151883090801006170935368685572048896283713210065746911275937809639565312175259590085346954232438599170937838957789081528052181179200944451623825945919886919881739985263674497900995433150032905835197204098837822653062009513976952424451803290084266541101962651161026309728158157133901160339600983314597619755593587405076830917689869771409570692310164240531693415029503161831148306909363000126625365435767493156795489621589550713349230350887038027034611197722741603644837373000170684037027575529639733609716232417398268132048380163807370084840325624777554724803878452180755536974990400528203854510865589142930538623169700545909887717025581077147631465430335052451688721418520542159095692366893978234196274653334212853685046739510180948633272759670844866302609553839028257241746195128664903662429097095849997563185931716842923088797734754997286601839005143932767697554663618454276198233679797089472212451351391200837580258239132398772621546650745555274011417109704142465545465845791282215263366718733963365216964564400482362203096560101477477036376471873307858946977239126476339120076224085794257596385817651974527333755350872579311809078155513124417602314963459624916824323974580344422268139978824276259429623534430425787374350938262731413543339800048090233546883248500634037909398795558160371765849412897228221803108469292136465111462153190491379920723618513703130702458830100825228706192081170667636621507680323331009268706545012602888811351615965829339519528719047600478903759493852889385550509259639734037135101991411505845901275968176888261864853559794114101563272712071932533671038300936442361685550161283930445955413663613818040433965264251401168782927324276581673653986007562228732684286036170652873715541676073704725421089679185714268412381994155676771974672744868344568796271386172321161522895999061779722629997772342954397727023627427103438722009442023767846555722689060555653253252538267362177442584547681333225191378238006882891311229467873591618501639180070809288323893757415289103874899972582018645778853633393596490053353001715834431512353063616317258569541775112059504576106485444210349312193949721717549358425629996429963315448701015772048275259821082013317370057614936480628661467728457895406034423445152018536698429187905319353130036910622668380925057717554921184958054458856092813886872483722969566437194264207943755523974587327451821194415235069216023780417475199297056519687961100634186131606091081825022602396781290910555728747463879444660752049775265599271832083941406390270895122580937293125225561476697590544908344532044204730774920857036143371813672688693164978905060595904942594276840113012044369168085109922081517890214997937705752644477248781836603457187391002559055575362}
30555 1534520846839450094769898441188206185223025515474254462664079894756893891068407466137910: {61106,1191021,1679645,2015574,2106501,2992822,3935661,4060357,4275460,5130552,5159401,5397261,5579853,5771871,5800510,6107800,6254345,6622189,6871275,6960612,7265902,7329360,7505214,7586781,7817984,8081705,8245530,8731294,8795232,8994845,9408741,9460270,9698046,9894636,10379860,10793814,11016637,11352324,12389902,12455832,12643805,13590141,14012811,14776036,14860221,15040937,15172566,15376745,15766949,15803662,16139261,16849357,17699860,17776253,18249166,18452094,19205853,19713982,20831901,21192981,21239832,21256409,21734421,22225112,22576660,22625806,23894811,24070510,24362309,24590254,24912781,25003251,25518453,25647977,25698381,26597661,27091992,28214853,28753013,28884612,28915081,29303773,29765775,30478491,30883204,31622541,31750160,32322580,33399709,33696502,34095646,34416605,34664181,35260995,35277652,35718930,36773669,37262446,37611728,37825733,37877181,38100192,38474989,38787037,38787096,38926505,39124581,39658821,40014861,40134052,40548741,41299926,41349742,41614276,41615853,41793621,41977375,42313194,42527945,42862716,42878782,43635483,44580766,45248644,46007572,46069337,46711806,47115501,47508094,47713870,48137860,48601357,48707853,48933214,49822294,50372850,50651421,51033534,51127909,51180981,51899086,52129037,52357235,52402205,53297061,53297705,53329732,53731040,54826414,54938221,54964270,55353989,56245774,56337181,56640453,57256644,57334360,57700324,57765432,57826366,58127141,58603702,58663145,58695469,58709909,59071060,59657533,60301592,60325701,60447420,62776653,62828682,62882646,63014317,63059524,63957246,64349781,64477248,64501155,64640920,64906445,64986111,64987909,65019604,65571981,65761949,65957124,66795022,67839291,68801232,69355145,69408382,69430510,70395774,70691213,70885272,71267749,72020045,72359853,72536904,72721035,73039870,73698555,73794845,73921101,74520004,74796050,75568205,76099702,76730452,76975337,77401386,77534989,77568982,77569104,77858968,77887734,78225545,78420453,78593181,78611792,79745931,80038357,81008853,81604017,81698181,83226174,83316612,83591853,83638973,83850670,84435077,84546742,84623541,85014484,85496014,85531241,86169453,86241454,86287957,86424054,86977444,87198981,87265242,87591339,87647844,87736375,87894781,88438266,88553814,89155684,89394526,89755260,90241801,90453453,90681846,91493989,92524957,92839870,92972374,93016653,93870654,94551981,94668406,95009956,95185156,95421460,95432152,95670795,95738944,96261109,96283684,96353782,97860004,97956861,98536709,98881006,99146301,99306795,99655701,...,301980791974087275193452251957671354273843799013870206499194077300037369024161090257853595738510962611590598413325197693133980756086094097762061370483799449097864212236679631845688840404119938174863871319594874389736371771684194381908082503208036199131881408817860211629527477285785038876817490697405242215897114009599810119965339097843834426331306059019051416009635559497343032009088942130524377404198888101350170093594295278531704923665493182166475447094210967173997635927411537584655915257455299311047231114494013041772845883479116609719131564415535664527351375107365391522949941658799813416004106353328342926598818264949516842926047776226504818105893587805680101371933708191684556947104517076143004277601022515882798067953296478041297089109043450212826417248788208818590623122042701421401744722620585648455593114293818205976880720390297551199633084062203578818692204051623391828048451865040947942183803951895226446197244710033170791441716023494225166032904641585287458138587980758630469021593619046537403452113879692297147776778837629668289275775604804845730904981325166719703895887205213405448388807665438506734284584585880277678309605289147713432412777399426047576953759025523246141969586429541086696420839045552257966598776596817925588594808731165018594847578945384494584728362864666453607984420039840035741731654629577329693801379773637070944895457605965529168513188490408120366616819097475097546410690430934526368912165525316836249738195949756961373001067331262307249590363054434350933413643714429212460162659574128501875392191003736202525995105905204786614353004889787381779632537511378524839546300137644127834688406117815538693515898542632987399700671039559286969443670712467195879771539568509516274882408423889460516487467412215977955407158212134165344890902199026529887536493796549614001282486564078700096082511841075834819513939378194129839011545644584843865109619860542986219176105289761717756376717265998139171254568005632331914497815184889923414412953410618279011789604043015282687156713819291921519269914035770130930095348305881103029450441741312593604822655064940646653197560105769394002542666841461989688936252567046491579314977767741503527727824636201509256403053028358073344425569815098620366913906714459347968262889385128020431348657898756406758436683622292078271768801416677435738918879830379822609977895511746851493149725049358752795806148256733979593014270965428636677704935126399811652943976741539464592237235700851740509401474971896429633390381107615246376534804657114356038465246360797540122544254742746722460364044500189938048153651239735193234432384326070023845526330557040551916796584112405467256059500256026055541363294459600414574348626097402198072570245711055127260488437166332087205817678271133305462485600792305781766298383714395807934754550818864831575538371615721447198145502578677533082127780813238643538550340967351294411980001319280527570109265271422949909139506267299453914330758542385862619292692997355493643645643774996344778897575264384633196602132495929902758507715899151546331995427681414297350519695634208318677027086801256370387358698598158932319976118332911017125664556213698318198768686923322895050078100945047825446846600723543304644840152216215554564707809961788420465858689714508680114336128691386394578726477961791000633026308868967713617233269686626403472445189437375236485961870516633402209968236414389144435301645638681061526407394097120315009700072135350320324872750951056864098193337240557648774119345842332704662703938204697667193229785737069881085427770554696053688245151237843059288121756001454932261520484996513903059817518904333217027423948744009279293078571400718355639240779334078325763889459601055702652987117258768851913952265332392797280339691171152344909068107898800506557451404663542528325241925895668933120495420727060650947896377101753174390986414872510480979011343343099026429054255979310573312514110557088131634518778571402618572991233515157962009117302516853194407079258481742284343998592669583944996658514431596590535441140655158083014163035651769833584033590833479879878807401043266163876821521999837787067357010324336966844201810387427752458770106213932485840636122933655812349958873027968668280450090394735080029502573751647268529595424475887854312662668089256864159728166315523968290924582576324037638444994644944973173051523658072412889731623019976055086422404720942992201592686843109051635167728027805047643781857979029695055365934002571387586576332381777437081688284139220830308725584454349655791396311915633285961880991177731791622852603824035670626212798945584779531941650951279197409136622737533903595171936365833593121195819166991128074662898398907748125912109585406342683871405939687838342215046385817362516798066307096162381285554215057720509033039747468357590893857413891415260169518066553752127664883122276835322496906558628966715873172754905185781086503838583363043}
30556 1539245605579000168913832862443460535769178749472421677542188028770857030173307446829331: {91659,519163,1433923,1588028,1799323,2258258,2687432,2711563,2808668,3023361,3258043,3720146,4489233,5074963,5247548,5344325,6413190,6840736,7065259,7196348,7439804,7634750,7695828,7728458,7967059,8700765,9161700,9181706,9280816,9772480,9907466,10006952,10115708,10440918,10661659,10840723,10898853,10994040,11257821,11726976,12368295,12544988,12627403,12930728,12974825,13096941,13192848,13340059,14051563,14190405,14391752,14547069,14610866,14841954,15136432,15293923,15569790,16190721,16607776,17028486,17133386,18120188,18470045,18584853,18683748,18930866,19446973,19813628,20007626,20228083,20230088,20403259,21452803,22124825,22157258,22164054,22515026,22758849,23705493,23717923,24602792,24932563,25371986,25607804,26316403,26549790,27373749,27508658,27678141,27775868,27781390,27864266,28220825,28257308,28319776,28979228,29070259,29570973,30098203,31859748,32474066,32486659,32910262,33337668,33864990,33938709,34024604,34240586,34264508,35030059,35463548,35705563,35874259,36042883,36105765,36122656,36355658,36884923,36885381,37619804,38512816,38604005,39687700,40219826,40403225,40637988,41068123,41270666,41567083,41733259,42163388,43326918,43391059,44097065,44217259,44764106,46218908,46324806,46521043,47014660,47625240,48483870,48973723,50167565,50502908,50544753,50800256,51143469,51716128,52017845,52166108,52398986,52763893,52878428,52916478,53353148,53578395,54064988,54633643,54794059,55066568,55487804,55724828,55755043,55893669,56417592,56560805,57032323,57150288,57221258,57509465,58146163,58180644,58781059,60172325,60201078,61151659,61949889,62024613,62282408,62421414,62566243,62773469,62820668,63349603,63469791,64131163,64287259,64294074,64318173,64943804,65762258,66662165,66871149,67045849,67163800,67394059,67535228,67798706,67872966,68044712,68126597,68241308,68782723,68785318,68814986,69011358,69090523,70067709,71062748,71262141,71570805,71667950,72125405,72206790,72913723,73399821,73838825,74279059,74733441,75376990,75520604,75559275,75939883,76228106,76342192,76541659,76550301,77020576,77142283,77442163,77848629,78190603,78824405,79994598,80276659,80425123,80434268,80575826,80596560,80801150,81166363,81274505,82239621,82446405,82906826,83503133,83702204,83771576,83843528,84368661,84567506,85276328,85576003,85799708,85884966,85969664,86001540,86550486,86648148,86739549,87429308,87905553,87942832,88606590,88868426,88912843,89292742,90452388,90671130,91354723,91734976,92639059,92686342,93150005,93492043,93800786,93861032,94128458,94243023,94323969,94419598,94513696,94589286,95613163,95913065,95935869,96279029,96479804,96715872,96961380,97323710,97529406,98264740,98561468,98834083,98935686,...,402641055965449700257936335943561805698458398685160275332258769733383158698881453677138127651347950148787464551100263590845307674781458797016081827311732598797152282982239509127585120538826584233151828426126499186315162362245592509210776670944048265509175211757146948839369969714380051835756654263206989621196152012799746826620452130458445901775074745358735221346180745996457376012118589507365836538931850801800226791459060371375606564887324242888633929458947956231996847903215383446207887009940399081396308152658684055697127844638822146292175419220714219369801833476487188697266588878399751221338808471104457235465091019932689123901397034968673090807858117074240135162578277588912742596139356101524005703468030021177064090604395304055062785478724600283768556331717611758120830829390268561868992963494114197940790819058424274635840960520396734932844112082938105091589605402164522437397935820054597256245071935860301928262992946710894388588954697992300221377206188780383277518117307678173958695458158728716537936151839589729530369038450172891052367700806406460974539975100222292938527849606951207264518410220584675645712779447840370237746140385530284576550369865901396769271678700697661522626115239388115595227785394069677288798368795757234118126411641553358126463438593845992779637817152888604810645893386453380988975539506103106258401839698182761259860610141287372224684251320544160488822425463300130061880920574579368491882887367089114999650927933009281830668089775016409666120484072579134577884858285905616613550212765504669167189588004981603367993474540273048819137339853049842372843383348504699786061733516858837112917874823754051591354531390177316532934228052745715959258227616622927839695386091346021699843211231852614021983289882954637273876210949512220459854536265368706516715325062066152001709982085438266794776682454767779759351919170925506452015394192779791820146159814057314958901473719682290341835623021330852228339424007509775885997086913186564552550604547491038682386138724020376916208951759055895359026552047693507906793797741174804039267255655083458139763540086587528870930080141025858670056889121949319585248336756061988772419970356988671370303766181602012341870737371144097792567426420131493822551875619279130624350519180170693908464877198341875677915578163056104362358401888903247651891839773839763479970527348995801990866300065811670394408197675645306124019027953904848903606580168533082203925302322052619456316314267802320679201966629195239511187174810153661835379739542819141384620328481063386830059006323662296613818726000253250730871534986313590979243179101426698460701774076054069222395445483207289674746000341368074055151059279467219432464834796536264096760327614740169680651249555109449607756904361511073949980801056407709021731178285861077246339401091819775434051162154295262930860670104903377442837041084318191384733787956468392549306668425707370093479020361897266545519341689732605219107678056514483492390257329807324858194191699995126371863433685846177595469509994573203678010287865535395109327236908552396467359594178944424902702782401675160516478264797545243093301491110548022834219408284931090931691582564430526733437467926730433929128800964724406193120202954954072752943746615717893954478252952678240152448171588515192771635303949054667510701745158623618156311026248835204629926919249833648647949160688844536279957648552518859247068860851574748701876525462827086679600096180467093766497001268075818797591116320743531698825794456443606216938584272930222924306380982759841447237027406261404917660201650457412384162341335273243015360646662018537413090025205777622703231931658679039057438095200957807518987705778771101018519279468074270203982823011691802551936353776523729707119588228203126545424143865067342076601872884723371100322567860891910827327227636080867930528502802337565854648553163347307972015124457465368572072341305747431083352147409450842179358371428536824763988311353543949345489736689137592542772344642323045791998123559445259995544685908795454047254854206877444018884047535693111445378121111306506505076534724354885169095362666450382756476013765782622458935747183237003278360141618576647787514830578207749799945164037291557707266787192980106706003431668863024706127232634517139083550224119009152212970888420698624387899443435098716851259992859926630897402031544096550519642164026634740115229872961257322935456915790812068846890304037073396858375810638706260073821245336761850115435109842369916108917712185627773744967445939132874388528415887511047949174654903642388830470138432047560834950398594113039375922201268372263212182163650045204793562581821111457494927758889321504099550531198543664167882812780541790245161874586250451122953395181089816689064088409461549841714072286743627345377386329957810121191809885188553680226024088738336170219844163035780429995875411505288954497563673206914374782005118111150724}
30557 1543984827690231647483816209170226738171525948598418265407935843971313827770023754842744: {30557,122212,1985035,2351503,2382042,3359290,3387387,3510835,4031148,4213002,5580219,5708923,5985644,6559435,7871322,8120714,8550920,8756083,8995435,9299755,9619785,9734923,10261104,10318802,10794522,11159706,11314387,11452125,11543742,11592687,11601020,11932147,12215600,12417163,12508690,12592783,12644635,13244378,13742550,13772559,13921224,14531804,14658720,14861199,15010428,15173562,15635968,15661377,15681235,16078243,16163410,16491060,16810459,17462588,17590464,17701327,17777419,17989690,18633667,18817482,18920540,19396092,19789272,20759720,21008299,21527443,21587628,21916299,22033274,22262931,22293307,22650235,22704648,23354685,23757163,24363907,24767035,24779804,24911664,25287610,25542729,25700079,25952947,26475823,27180282,27228463,27416803,28025622,28396299,28754899,29552072,29720442,30011439,30081874,30155599,30345132,30753490,31533898,31607324,32009755,32278522,32489083,32716843,33235887,33246081,33698714,33772539,34719835,35321635,35399720,35552506,36224035,36498332,36776083,36904188,37809547,38057979,38411706,39427964,39824685,41099983,41262987,41663802,41672085,41796399,42385962,42479664,42512818,42530755,42830635,43468842,44329435,44450224,44703139,45153320,45251612,46949647,47024755,47789622,48141020,48183247,48711099,48724618,49180508,49365393,49609625,49825562,50006502,50797485,51036906,51295954,51360879,51396762,51489259,52132459,52481803,52704235,53195322,53896123,54183984,54497107,54533487,55724143,56388643,56429706,57506026,57769224,57773635,57830162,58450267,58607546,58713763,58768325,59531550,59539123,59745787,59792623,60329739,60956982,61573807,61766408,61866223,61905999,63128635,63245082,63500320,64645160,64990377,65207635,66098035,66429583,66691435,66799418,67146159,67393004,67581235,68191292,68833210,69328362,69359755,69487209,69656035,69758659,70521990,70555304,70808587,71437860,72091039,72725805,73300129,73363087,73547338,74382319,74524892,74616787,74880847,75223456,75651466,75706543,75754362,76200384,76949978,76980403,77574074,77574192,77692219,77718667,77853010,78008563,78249162,78525835,78598479,79317642,79374717,79677103,79989523,80029722,80268104,81097482,81179755,82128403,82599852,82699484,83228552,83231706,83587242,83643403,83954750,84419035,84626388,85055890,85301635,85602403,85725432,85757564,85831887,86031259,87270966,87297283,88828435,89120683,89161532,89309347,90301617,90497288,90869023,91604239,92015144,92138674,92229643,93423612,93632121,94231002,94400755,95016188,95427740,96275720,96441111,97097203,97202714,97415706,97505419,97866428,98643387,98846059,99568507,99644588,...,603961583948174550386904503915342708547687598027740412998388154600074738048322180515707191477021925223181196826650395386267961512172188195524122740967598898195728424473359263691377680808239876349727742639189748779472743543368388763816165006416072398263762817635720423259054954571570077753634981394810484431794228019199620239930678195687668852662612118038102832019271118994686064018177884261048754808397776202700340187188590557063409847330986364332950894188421934347995271854823075169311830514910598622094462228988026083545691766958233219438263128831071329054702750214730783045899883317599626832008212706656685853197636529899033685852095552453009636211787175611360202743867416383369113894209034152286008555202045031765596135906592956082594178218086900425652834497576417637181246244085402842803489445241171296911186228587636411953761440780595102399266168124407157637384408103246783656096903730081895884367607903790452892394489420066341582883432046988450332065809283170574916277175961517260938043187238093074806904227759384594295553557675259336578551551209609691461809962650333439407791774410426810896777615330877013468569169171760555356619210578295426864825554798852095153907518051046492283939172859082173392841678091104515933197553193635851177189617462330037189695157890768989169456725729332907215968840079680071483463309259154659387602759547274141889790915211931058337026376980816240733233638194950195092821380861869052737824331050633672499476391899513922746002134662524614499180726108868701866827287428858424920325319148257003750784382007472405051990211810409573228706009779574763559265075022757049679092600275288255669376812235631077387031797085265974799401342079118573938887341424934391759543079137019032549764816847778921032974934824431955910814316424268330689781804398053059775072987593099228002564973128157400192165023682151669639027878756388259678023091289169687730219239721085972438352210579523435512753434531996278342509136011264663828995630369779846828825906821236558023579208086030565374313427638583843038539828071540261860190696611762206058900883482625187209645310129881293306395120211538788005085333682923979377872505134092983158629955535483007055455649272403018512806106056716146688851139630197240733827813428918695936525778770256040862697315797512813516873367244584156543537602833354871477837759660759645219955791023493702986299450098717505591612296513467959186028541930857273355409870252799623305887953483078929184474471401703481018802949943792859266780762215230492753069609314228712076930492721595080245088509485493444920728089000379876096307302479470386468864768652140047691052661114081103833593168224810934512119000512052111082726588919200829148697252194804396145140491422110254520976874332664174411635356542266610924971201584611563532596767428791615869509101637729663151076743231442894396291005157355066164255561626477287077100681934702588823960002638561055140218530542845899818279012534598907828661517084771725238585385994710987287291287549992689557795150528769266393204264991859805517015431798303092663990855362828594701039391268416637354054173602512740774717397196317864639952236665822034251329112427396636397537373846645790100156201890095650893693201447086609289680304432431109129415619923576840931717379429017360228672257382772789157452955923582001266052617737935427234466539373252806944890378874750472971923741033266804419936472828778288870603291277362123052814788194240630019400144270700640649745501902113728196386674481115297548238691684665409325407876409395334386459571474139762170855541109392107376490302475686118576243512002909864523040969993027806119635037808666434054847897488018558586157142801436711278481558668156651527778919202111405305974234517537703827904530664785594560679382342304689818136215797601013114902809327085056650483851791337866240990841454121301895792754203506348781972829745020961958022686686198052858108511958621146625028221114176263269037557142805237145982467030315924018234605033706388814158516963484568687997185339167889993317028863193181070882281310316166028326071303539667168067181666959759757614802086532327753643043999675574134714020648673933688403620774855504917540212427864971681272245867311624699917746055937336560900180789470160059005147503294537059190848951775708625325336178513728319456332631047936581849165152648075276889989289889946346103047316144825779463246039952110172844809441885984403185373686218103270335456055610095287563715958059390110731868005142775173152664763554874163376568278441660617451168908699311582792623831266571923761982355463583245705207648071341252425597891169559063883301902558394818273245475067807190343872731667186242391638333982256149325796797815496251824219170812685367742811879375676684430092771634725033596132614192324762571108430115441018066079494936715181787714827782830520339036133107504255329766244553670644993813117257933431746345509810371562173007677166726086}
30558 1548738557192178531445610774226329275871058853899840021473877401267074157583327331738920: {152765,183318,580241,885341,1038326,1251197,1860317,2042897,2711741,2867846,3176056,3318941,3573063,3598646,3864737,3985937,4516516,5038935,5075297,5374864,5423126,5617336,5800097,6046722,6319503,6403217,6516086,7246241,7440292,7482055,7607057,8978466,9586397,10149926,10483217,10495096,10688650,11735741,11806983,11973917,12181071,12628241,12687677,12826380,13222241,13518941,13681472,13874717,14052497,14130518,14392696,14501275,14644577,14879608,14999441,15269500,15391656,15456916,15478203,15934118,16191783,16416017,16739559,17063741,17315613,17401530,17945441,18164755,18323400,18363412,18561632,18763035,18883937,19176797,19544960,19814932,19866567,20013904,20229437,20231416,20613825,20638097,20881836,21323318,21681446,21797706,21828235,21988080,22036241,22515642,22760343,22907741,23453952,23650675,23719517,24245115,24736590,25089976,25254806,25858063,25861456,25949650,26193882,26318177,26385696,26680118,26984535,27525341,28041617,28103126,28226223,28380810,28728977,28783504,28900637,29094138,29221732,29300897,29683908,30157277,30272864,30442337,30587846,30974755,31139580,32381442,33049911,33215552,33225341,34056972,34266772,34412177,36101537,36240376,36940090,37169706,37367496,37727741,37861732,37931415,38231057,38789537,38893946,39509155,39627256,39904097,40015252,40456166,40460176,40770423,40806518,41569937,41625341,42038433,42905606,43063037,43559441,44249650,44314516,44328108,44440337,44580663,44934941,45030052,45122811,45517698,45622915,45757841,46130235,46250717,46578941,47300847,47343677,47410986,47435846,47888957,48417783,49031441,49205584,49284955,49628477,49865126,50170397,50548071,50743972,51215608,51413777,52632806,53029217,53099580,53328759,53405117,53673377,54045607,54155741,54476957,54747498,55017316,55278737,55356282,55551736,55562780,55728532,55812257,56441650,56514616,56557841,56564515,56639552,56770577,57089441,57408017,57567197,57617559,57958456,58140518,59141946,59260637,60051617,60176275,60196406,60525341,61475635,61735891,62495703,62570657,63406241,63578943,63719057,63719496,63769227,64187741,64499837,64948132,64973318,65203263,65820524,66004241,66211217,66469757,66675336,66986237,67729980,67877418,68049208,68481172,68529016,68787617,69095441,69556637,70060118,70158583,70234591,70927096,70936337,71140241,71411126,71598557,71684433,71748518,72085766,72211530,72245312,72462497,72711316,72824983,73086927,73121597,73769846,73770762,74132957,74186827,74738343,75009753,75239608,75392657,75493217,75995537,76246397,76446941,76555359,76897697,76943931,77025632,77095143,77208010,77497697,78196241,79141757,79185127,79241117,79375400,79792983,80439652,80513251,80806450,80875937,81275976,82136246,82541332,83134166,83140241,83466518,83874941,84241255,84326776,84607841,84644559,85239115,85338941,85630877,86259039,86653836,86745243,86782118,87328097,87911319,88052477,88194130,88245341,88434518,88967441,89297325,89528212,89927441,90406241,91075217,91409117,91435473,92437816,92649612,93042086,93156115,93327031,93498941,93924497,94029320,94490897,94679441,94867623,95250480,95338337,95667197,95808017,96370577,96967740,97212257,97771937,97911677,97947446,98841437,99305117,99582941,99814241,...,905942375922261825580356755873014062821531397041610619497582231900112107072483270773560787215532887834771795239975593079401942268258282293286184111451398347293592636710038895537066521212359814524591613958784623169209115315052583145724247509624108597395644226453580634888582431857355116630452472092215726647691342028799430359896017293531503278993918177057154248028906678492029096027266826391573132212596664304050510280782885835595114770996479546499426341282632901521992907782234612753967745772365897933141693343482039125318537650437349829157394693246606993582054125322096174568849824976399440248012319059985028779796454794848550528778143328679514454317680763417040304115801124575053670841313551228429012832803067547648394203859889434123891267327130350638479251746364626455771869366128104264205234167861756945366779342881454617930642161170892653598899252186610736456076612154870175484145355595122843826551411855685679338591734130099512374325148070482675498098713924755862374415763942275891407064780857139612210356341639076891443330336512889004867827326814414537192714943975500159111687661615640216345166422996315520202853753757640833034928815867443140297238332198278142730861277076569738425908759288623260089262517136656773899796329790453776765784426193495055784542736836153483754185088593999360823953260119520107225194963888731989081404139320911212834686372817896587505539565471224361099850457292425292639232071292803579106736496575950508749214587849270884119003201993786921748771089163303052800240931143287637380487978722385505626176573011208607577985317715614359843059014669362145338897612534135574518638900412932383504065218353446616080547695627898962199102013118677860908331012137401587639314618705528548824647225271668381549462402236647933866221474636402496034672706597079589662609481389648842003847459692236100288247535523227504458541818134582389517034636933754531595328859581628958657528315869285153269130151797994417513763704016896995743493445554669770243238860231854837035368812129045848061470141457875764557809742107310392790286044917643309088351325223937780814467965194821939959592680317308182007628000524385969066808757701139474737944933303224510583183473908604527769209159085074220033276709445295861100741720143378043904788668155384061294045973696269220275310050866876234815306404250032307216756639491139467829933686535240554479449175148076258387418444770201938779042812896285910033114805379199434958831930224618393776711707102555221528204424915689288900171143322845739129604413971343068115395739082392620367632764228240167381092133500569814144460953719205579703297152978210071536578991671121655750389752337216401768178500768078166624089883378801243723045878292206594217710737133165381781465311498996261617453034813399916387456802376917345298895151143187423804263652456594494726615114847164341594436507736032599246383342439715930615651022902053883235940003957841582710327795814268849727418518801898361742992275627157587857878078992066480930936931324989034336692725793153899589806397487789708275523147697454638995986283044242892051559086902624956031081260403769111162076095794476796959928354998733051376993668641094954596306060769968685150234302835143476340539802170629913934520456648646663694123429885365261397576069143526040343008386074159183736179433885373001899078926606903140851699809059879210417335568312125709457885611549900206629904709243167433305904936916043184579222182291360945029100216406050960974618252853170592294580011721672946322358037526998113988111814614093001579689357211209643256283311664088161064735453713529177864365268004364796784561454989541709179452556712999651082271846232027837879235714202155066917722338002234977291668378803167107958961351776306555741856795997178391841019073513457034727204323696401519672354213990627584975725777687006799361486262181181952843689131305259523172959244617531442937034030029297079287162767937931719937542331671264394903556335714207855718973700545473886027351907550559583221237775445226853031995778008751834989975543294789771606323421965474249042489106955309500752100772500439639636422203129798491630464565999513361202071030973010900532605431162283257376310318641797457521908368800967437049876619083906004841350271184205240088507721254941805588786273427663562937988004267770592479184498946571904872773747728972112915334983934834919519154570974217238669194869059928165259267214162828976604778060529327154905503184083415142931345573937089085166097802007714162759728997145332311245064852417662490926176753363048967374188935746899857885642973533195374868557811472107011878638396836754338595824952853837592227409868212601710785515809097500779363587457500973384223988695196723244377736328756219028051614217819063515026645139157452087550394198921288487143856662645173161527099119242405072772681572241674245780508554199661256382994649366830505967490719675886900147619518264715557343259511515750089129}
30559 1553506838237070635283364558440273899350459161600555261242489681206477003928974865752789: {30559,61114,244424,274977,1557489,2779049,3970070,4301769,4703006,4764084,4915169,5397969,5645645,6380561,6718580,6746909,6774774,7021670,8062296,8134689,8426004,9070083,9183209,9300365,9774129,10406297,11160438,11417846,11504909,11971288,12593609,13019657,13118870,13335929,13467699,14674829,15224889,15742644,16032975,16241428,17101840,17512166,17702489,17969801,17990870,18599510,19086875,19239570,19321145,19469846,20522208,20637604,21009677,21195777,21589044,21953729,22319412,22628774,22904250,22954265,23087484,23185374,23202040,23864294,23901177,24431200,24768665,24834326,24916049,25017380,25185566,25289270,26102295,26477561,26488756,27230249,27485100,27545118,27842448,29063608,29307617,29317440,29722398,30020856,30157577,30347124,31271936,31289609,31322754,31362470,31710329,31984977,32156486,32326820,32522169,32696559,32718989,32982120,33620918,33773463,34673849,34925176,34973177,35180928,35402654,35554838,35979380,36527165,37104885,37267334,37634964,37812029,37841080,37882209,38396189,38792184,38924475,39290823,39578544,40020177,41102681,41519440,42016598,42154689,42257729,42571215,42833465,43054886,43175256,43641207,43832598,44066548,44525862,44586614,44813657,45300470,45409296,45881769,46709370,46952729,47327165,47514326,48572163,48607769,48727814,49450289,49534070,49559608,49823328,50019065,50575220,50713649,51085458,51400158,51905894,52485257,52951646,53899661,54360564,54456926,54833606,55393145,55410135,55727801,55754559,56051244,56287565,56792598,57509798,57613097,58340919,59104144,59440884,59543057,59749709,59962889,60022878,60163748,60311198,60460697,60684249,60690264,61209777,61506980,61577849,62023949,62061209,63022601,63067796,63214648,63429965,64019510,64358409,64557044,64978166,65326769,65433686,65834657,66374475,66471774,66492162,67397428,67545078,68276547,68771645,69439670,69453475,69660665,70643270,70664009,70799440,71105012,71116479,71153769,71842289,72448070,72996664,73552166,73785929,73808376,74569601,74797689,75619094,76115958,76280489,76373561,76823412,78013697,78507689,78855928,78949209,79139009,79649370,80343857,80883089,81185165,82121247,82199966,82242749,82275655,82525974,83034423,83327604,83344170,83592798,84662475,84771924,84959328,85025636,85061510,85601465,85661270,86036921,86937684,87186041,87210777,87723569,87906377,88380089,88658870,88712919,88900448,89406278,89471369,90294609,90306640,90503224,90885449,90889145,91290689,91506017,91818077,92235737,92537249,93368009,93899294,94049510,94163849,94613729,95266937,95579244,96282040,96366494,97103657,97422198,97449236,97459977,97518449,98361016,98730786,99219250,99651124,99816329,...,1207923167896349100773809007830685417095375196055480825996776309200149476096644361031414382954043850446362393653300790772535923024344376391048245481935197796391456848946718527382755361616479752699455485278379497558945487086736777527632330012832144796527525635271440846518109909143140155507269962789620968863588456038399240479861356391375337705325224236076205664038542237989372128036355768522097509616795552405400680374377181114126819694661972728665901788376843868695990543709646150338623661029821197244188924457976052167091383533916466438876526257662142658109405500429461566091799766635199253664016425413313371706395273059798067371704191104906019272423574351222720405487734832766738227788418068304572017110404090063531192271813185912165188356436173800851305668995152835274362492488170805685606978890482342593822372457175272823907522881561190204798532336248814315274768816206493567312193807460163791768735215807580905784788978840132683165766864093976900664131618566341149832554351923034521876086374476186149613808455518769188591107115350518673157103102419219382923619925300666878815583548820853621793555230661754026937138338343521110713238421156590853729651109597704190307815036102092984567878345718164346785683356182209031866395106387271702354379234924660074379390315781537978338913451458665814431937680159360142966926618518309318775205519094548283779581830423862116674052753961632481466467276389900390185642761723738105475648662101267344998952783799027845492004269325049228998361452217737403733654574857716849840650638296514007501568764014944810103980423620819146457412019559149527118530150045514099358185200550576511338753624471262154774063594170531949598802684158237147877774682849868783519086158274038065099529633695557842065949869648863911821628632848536661379563608796106119550145975186198456005129946256314800384330047364303339278055757512776519356046182578339375460438479442171944876704421159046871025506869063992556685018272022529327657991260739559693657651813642473116047158416172061130748626855277167686077079656143080523720381393223524412117801766965250374419290620259762586612790240423077576010170667365847958755745010268185966317259911070966014110911298544806037025612212113432293377702279260394481467655626857837391873051557540512081725394631595025627033746734489168313087075205666709742955675519321519290439911582046987405972598900197435011183224593026935918372057083861714546710819740505599246611775906966157858368948942803406962037605899887585718533561524430460985506139218628457424153860985443190160490177018970986889841456178000759752192614604958940772937729537304280095382105322228162207667186336449621869024238001024104222165453177838401658297394504389608792290280982844220509041953748665328348823270713084533221849942403169223127065193534857583231739018203275459326302153486462885788792582010314710132328511123252954574154201363869405177647920005277122110280437061085691799636558025069197815657323034169543450477170771989421974574582575099985379115590301057538532786408529983719611034030863596606185327981710725657189402078782536833274708108347205025481549434794392635729279904473331644068502658224854793272795074747693291580200312403780191301787386402894173218579360608864862218258831239847153681863434758858034720457344514765545578314905911847164002532105235475870854468933078746505613889780757749500945943847482066533608839872945657556577741206582554724246105629576388481260038800288541401281299491003804227456392773348962230595096477383369330818650815752818790668772919142948279524341711082218784214752980604951372237152487024005819729046081939986055612239270075617332868109695794976037117172314285602873422556963117336313303055557838404222810611948469035075407655809061329571189121358764684609379636272431595202026229805618654170113300967703582675732481981682908242603791585508407012697563945659490041923916045373372396105716217023917242293250056442228352526538075114285610474291964934060631848036469210067412777628317033926969137375994370678335779986634057726386362141764562620632332056652142607079334336134363333919519515229604173064655507286087999351148269428041297347867376807241549711009835080424855729943362544491734623249399835492111874673121800361578940320118010295006589074118381697903551417250650672357027456638912665262095873163698330305296150553779978579779892692206094632289651558926492079904220345689618883771968806370747372436206540670912111220190575127431916118780221463736010285550346305329527109748326753136556883321234902337817398623165585247662533143847523964710927166491410415296142682504851195782339118127766603805116789636546490950135614380687745463334372484783276667964512298651593595630992503648438341625370735485623758751353368860185543269450067192265228384649525142216860230882036132158989873430363575429655565661040678072266215008510659532489107341289987626234515866863492691019620743124346015354333452172}
30560 1558289715110734285644378371209114550257441706783118099640532936641772652877960693992192: {91671,213871,305530,366636,946399,1160482,1312231,1770682,2043031,2076652,2502394,3720634,4085794,4773271,5423482,5735692,5860831,5955105,6352112,6637882,7054509,7146126,7197292,7306879,7729474,7971874,8398225,9033032,9287671,10077870,10150594,10162161,10185151,10474877,10532505,10543639,10749728,10846252,11234672,11259751,11438599,11600194,12093444,12639006,12688519,12806434,13032172,13757071,13934911,14492482,14880584,14964110,15214114,16417111,16740657,17123719,17126769,17300191,17956932,18005359,18357511,19172794,19236631,19678305,20299852,20301785,20966434,20990192,21164359,21377300,21688591,22560871,23471482,23613966,23947834,24362142,25256482,25375354,25430657,25652760,25797005,26031991,26268249,26444482,26986305,27037882,27240079,27362944,27749434,27899265,28104994,28261036,28785392,28859355,29002550,29204769,29289154,29302879,29759216,29998882,30501391,30539000,30559529,30783312,30913832,30956406,31271725,31868236,32037151,32383566,32832034,32887831,33057751,33110945,33479118,33943161,34127482,34356375,34414519,34631226,34778061,34803060,35597911,35796441,35890882,36329510,36609439,36646800,36726824,37123264,37251489,37526070,37767874,37778349,37786279,37933905,38353594,39089920,39629864,39733134,40027808,40296199,40408525,40458874,40462832,41227650,41276194,41317677,41461951,41628199,41763672,42458359,42646636,43121191,43362892,43364657,43595412,43656470,43976160,44072482,44583597,44773231,44974225,45031284,45520686,45815482,46907904,46984131,47043705,47073991,47301350,47439034,48234729,48490230,48871831,49473180,49686151,50179952,50336311,50431377,50498671,50509612,51471319,51716126,51722912,51794959,51899300,52387764,52602799,52636354,52771392,53103981,53332257,53360236,53730751,53969070,55050682,55083185,55312817,55335991,55901001,56083234,56206252,56452446,56761620,56774551,57412039,57457954,57567008,57801274,58188276,58443464,58601794,59317591,59367816,60108511,60314554,60545728,60582199,60884674,61175692,61949510,62279160,63024897,63219025,63723559,63872081,64504399,64582329,64762884,65748897,66060679,66099822,66431104,66450682,66788793,66879921,66990991,67950705,68113944,68533544,68535751,68824354,68998937,69459151,70064055,70226671,71271489,72203074,72480752,72518431,73091721,73126831,73880180,74188759,74301105,74339412,74642791,74734992,75204685,75455482,75548911,75723464,75862830,76462114,76628187,76883725,76903231,77100237,77579074,77653111,77787892,77858841,78834745,79018310,79190321,79254512,79427469,79808194,79891951,80030504,80696305,80912332,80920352,81540846,81613036,81685389,82250409,82914689,83139874,83146279,83250682,84076866,84246785,84613999,85188897,85811212,86065889,86126074,86264697,86656711,87118882,87675341,88499300,88629032,88656216,88880674,88881265,89161326,89869882,89981959,90034317,90060104,90125671,90245622,90412879,90466797,91035396,91245830,91515682,92260470,92501434,93126991,93157882,93695071,93978679,94601694,94686439,94687354,94821972,94871692,95110231,95392399,95777914,96029265,96835566,97219471,97359511,97467249,98062882,98150529,98411168,98569910,99256954,99312511,99707661,99730252,99738243,...,1811884751844523651160713511746028125643062794083221238995164463800224214144966541547121574431065775669543590479951186158803884536516564586572368222902796694587185273420077791074133042424719629049183227917569246338418230630105166291448495019248217194791288452907161269777164863714710233260904944184431453295382684057598860719792034587063006557987836354114308496057813356984058192054533652783146264425193328608101020561565771671190229541992959092998852682565265803043985815564469225507935491544731795866283386686964078250637075300874699658314789386493213987164108250644192349137699649952798880496024638119970057559592909589697101057556286657359028908635361526834080608231602249150107341682627102456858025665606135095296788407719778868247782534654260701276958503492729252911543738732256208528410468335723513890733558685762909235861284322341785307197798504373221472912153224309740350968290711190245687653102823711371358677183468260199024748650296140965350996197427849511724748831527884551782814129561714279224420712683278153782886660673025778009735654653628829074385429887951000318223375323231280432690332845992631040405707507515281666069857631734886280594476664396556285461722554153139476851817518577246520178525034273313547799592659580907553531568852386990111569085473672306967508370177187998721647906520239040214450389927777463978162808278641822425669372745635793175011079130942448722199700914584850585278464142585607158213472993151901017498429175698541768238006403987573843497542178326606105600481862286575274760975957444771011252353146022417215155970635431228719686118029338724290677795225068271149037277800825864767008130436706893232161095391255797924398204026237355721816662024274803175278629237411057097649294450543336763098924804473295867732442949272804992069345413194159179325218962779297684007694919384472200576495071046455008917083636269164779034069273867509063190657719163257917315056631738570306538260303595988835027527408033793991486986891109339540486477720463709674070737624258091696122940282915751529115619484214620785580572089835286618176702650447875561628935930389643879919185360634616364015256001048771938133617515402278949475889866606449021166366947817209055538418318170148440066553418890591722201483440286756087809577336310768122588091947392538440550620101733752469630612808500064614433513278982278935659867373070481108958898350296152516774836889540403877558085625792571820066229610758398869917663860449236787553423414205110443056408849831378577800342286645691478259208827942686136230791478164785240735265528456480334762184267001139628288921907438411159406594305956420143073157983342243311500779504674432803536357001536156333248179766757602487446091756584413188435421474266330763562930622997992523234906069626799832774913604753834690597790302286374847608527304913188989453230229694328683188873015472065198492766684879431861231302045804107766471880007915683165420655591628537699454837037603796723485984551254315175715756157984132961861873862649978068673385451586307799179612794975579416551046295394909277991972566088485784103118173805249912062162520807538222324152191588953593919856709997466102753987337282189909192612121539937370300468605670286952681079604341259827869040913297293327388246859770730522795152138287052080686016772148318367472358867770746003798157853213806281703399618119758420834671136624251418915771223099800413259809418486334866611809873832086369158444364582721890058200432812101921949236505706341184589160023443345892644716075053996227976223629228186003159378714422419286512566623328176322129470907427058355728730536008729593569122909979083418358905113425999302164543692464055675758471428404310133835444676004469954583336757606334215917922703552613111483713591994356783682038147026914069454408647392803039344708427981255169951451555374013598722972524362363905687378262610519046345918489235062885874068060058594158574325535875863439875084663342528789807112671428415711437947401090947772054703815101119166442475550890453706063991556017503669979951086589579543212646843930948498084978213910619001504201545000879279272844406259596983260929131999026722404142061946021801065210862324566514752620637283594915043816737601934874099753238167812009682700542368410480177015442509883611177572546855327125875976008535541184958368997893143809745547495457944225830669967869669839038309141948434477338389738119856330518534428325657953209556121058654309811006368166830285862691147874178170332195604015428325519457994290664622490129704835324981852353506726097934748377871493799715771285947066390749737115622944214023757276793673508677191649905707675184454819736425203421571031618195001558727174915001946768447977390393446488755472657512438056103228435638127030053290278314904175100788397842576974287713325290346323054198238484810145545363144483348491561017108399322512765989298733661011934981439351773800295239036529431114686519023031500178258}
30561 1563087232232994218435752255877156239932913581844629459528346961508299546616945045284046: {61118,122228,458295,488848,549954,1740723,2595815,2656023,3114978,3695219,3753591,5558098,5580951,6128691,7169615,7540663,7903903,7940140,8135223,8603538,8996615,9406012,9528168,9830338,9956823,10719189,10795938,11291290,11594211,11957811,12298351,12761122,13020511,13437160,13493818,13549548,13557815,13759559,14043340,15116805,15225891,16124592,16269378,16290215,16852008,17400291,17779751,18140166,18366418,18600730,18958509,19209651,19548258,19788659,20349503,20812594,21738723,22320876,22446165,22821171,22835692,23009818,23942576,24367103,25187218,25374815,26039314,26237740,26671858,26721625,26935398,27049603,27472391,27816371,28758671,28759191,29349658,30449778,31291663,31449651,31485288,32065950,32135971,32482856,32960771,33828839,34203680,34676131,34975471,35024332,35207223,35326295,35404978,35420949,35921751,35939602,35981740,36253799,36543213,37199020,37884723,38063031,38173750,38479140,38642290,38939692,39666723,39835295,40556823,41044416,41275208,41624151,42019354,42157491,42260503,42391554,43178088,43503825,43907458,43933731,44638824,44998323,45257548,45808500,45908530,46174968,46370748,46404080,46434609,47728588,47802354,48575349,48862400,49248051,49537330,49668652,49752611,49832098,50034760,50218677,50371132,50578540,51138031,51191223,51946839,52204590,52955122,52977512,53308295,53836323,54203615,54460498,54494265,54970200,55090236,55684896,56289105,56651811,57530391,57616879,58127216,58457951,58615234,58634880,59444796,59599701,59966851,60041712,60315154,60688311,60694248,61841475,61914291,62028031,62329103,62543872,62579218,62645508,62724940,63137015,63420658,63969954,64312972,64653640,64874125,65044338,65393118,65437978,65484705,65964240,66108723,66204791,66258031,66700295,67241836,67301603,67546926,68281029,68723223,69347698,69850352,69946354,70026691,70257815,70361856,70805308,70952025,71109676,71158551,71453551,71958760,72735345,73054330,73290743,74209770,74534668,74890691,75269928,75624058,75682160,75716531,75764418,76469615,76792378,77550403,77574189,77584368,77848950,78581646,78802591,78954531,79157088,80040354,80294323,80953605,82205362,82576023,83038880,84033196,84124851,84309378,84515458,84678669,85142430,85638311,85666930,86109772,86186931,86350512,86701911,87191779,87282414,87665196,87902691,88133096,88637039,88801951,89051724,89132399,89173228,89627314,90259663,90471831,90600940,90818592,91327011,91763538,92350225,92924265,93418740,93561479,93905458,94654330,94951831,95028652,95214023,96280303,97144326,97153411,97215538,97234865,97455628,97524931,98900578,99068140,99119216,99149733,99646656,99676023,...,2717827127766785476741070267619042188464594191124831858492746695700336321217449812320682361646598663504315385719926779238205826804774846879858552334354195041880777910130116686611199563637079443573774841876353869507627345945157749437172742528872325792186932679360741904665747295572065349891357416276647179943074026086398291079688051880594509836981754531171462744086720035476087288081800479174719396637789992912151530842348657506785344312989438639498279023847898704565978723346703838261903237317097693799425080030446117375955612951312049487472184079739820980746162375966288523706549474929198320744036957179955086339389364384545651586334429986038543362953042290251120912347403373725161012523940653685287038498409202642945182611579668302371673801981391051915437755239093879367315608098384312792615702503585270836100338028644363853791926483512677960796697756559832209368229836464610526452436066785368531479654235567057038015775202390298537122975444211448026494296141774267587123247291826827674221194342571418836631069024917230674329991009538667014603481980443243611578144831926500477335062984846920649035499268988946560608561261272922499104786447602329420891714996594834428192583831229709215277726277865869780267787551409970321699388989371361330297353278580485167353628210508460451262555265781998082471859780358560321675584891666195967244212417962733638504059118453689762516618696413673083299551371877275877917696213878410737320209489727851526247643763547812652357009605981360765246313267489909158400722793429862912141463936167156516878529719033625822733955953146843079529177044008086436016692837602406723555916701238797150512195655060339848241643086883696886597306039356033582724993036412204762917943856116585646473941675815005144648387206709943801598664423909207488104018119791238768987828444168946526011542379076708300864742606569682513375625454403747168551103910801263594785986578744886875972584947607855459807390455393983252541291112050690987230480336664009310729716580695564511106106436387137544184410424373627293673429226321931178370858134752929927265053975671813342443403895584465819878778040951924546022884001573157907200426273103418424213834799909673531749550421725813583307627477255222660099830128335887583302225160430134131714366004466152183882137921088807660825930152600628704445919212750096921650269918473418403489801059605721663438347525444228775162255334310605816337128438688857730099344416137598304876495790673855181330135121307665664584613274747067866700513429968537217388813241914029204346187217247177861102898292684720502143276400501709442433382861157616739109891458934630214609736975013364967251169257011649205304535502304234499872269650136403731169137634876619782653132211399496145344395934496988784852359104440199749162370407130752035896685453429562271412790957369783484179845344541493024783309523208097797739150027319147791846953068706161649707820011873524748130983387442806549182255556405695085228976826881472763573634236976199442792810793974967103010078177379461698769419192463369124826569443092363916987958849132728676154677260707874868093243781211307333486228287383430390879785064996199154130981005923284863788918182309906055450702908505430429021619406511889741803561369945939991082370289656095784192728207430578121029025158222477551208538301656119005697236779820709422555099427179637631252006704936377128373656834649700619889714127729502299917714810748129553737666546874082835087300649218152882923854758559511776883740035165018838967074112580994341964335443842279004739068071633628929768849934992264483194206361140587533593095804013094390353684364968625127538357670138998953246815538696083513637707142606465200753167014006704931875005136409501323876884055328919667225570387991535175523057220540371104181612971089204559017062641971882754927177333061020398084458786543545858531067393915778569518877733852594328811102090087891237861488303813795159812626995013793184710669007142623567156921101636421658082055722651678749663713326335680559095987334026255504969926629884369314818970265896422747127467320865928502256302317501318918909266609389395474891393697998540083606213092919032701597816293486849772128930955925392372565725106402902311149629857251718014524050813552615720265523163764825416766358820282990688813964012803311777437553496839715714618321243186916338746004951804504758557463712922651716007584607179784495777801642488486929814334181587981464716509552250245428794036721811267255498293406023142488279186991435996933735194557252987472778530260089146902122566807240699573656928920599586124605673434416321035635915190510263015787474858561512776682229604637805132356547427292502338090762372502920152671966085590169733133208986268657084154842653457190545079935417472356262651182596763865461431569987935519484581297357727215218318044716725022737341525662598983769148983948100491517902472159027660700442858554794146672029778534547250267387}
30562 1567899434158076677936577490308573248028172045774715073537719555683586359437577452181271: {91677,152785,183342,427742,611060,702397,733272,824931,1616977,1892798,2164861,2320964,2624462,3440737,3541364,3986461,4086062,4153304,4672467,5004788,5257297,7247197,7441268,8148817,8171588,8337147,8868817,9546542,9925175,10842877,10846964,11471384,11721662,11757515,11910210,12094561,12704224,12905307,13275764,13342717,13520737,14109018,14292252,14394584,14613758,14745507,14764861,15119677,15458948,15943748,16193907,16796450,16936935,17554175,18066064,18575342,19141683,19179361,20155740,20240727,20301188,20324322,20370302,20407357,20949754,21065010,21087278,21499456,21692504,22155517,22469344,22519502,22877198,23026897,23200388,24070177,24186888,24404067,24417361,24937597,25278012,25377038,25612868,26064344,27210249,27514142,27529057,27549627,27869822,27901095,28422499,28544615,28984964,29322387,29761168,29928220,30428228,30446461,31218891,31300561,32663377,32797175,32834222,33481314,33852061,34191037,34247438,34253538,34514727,34600382,35881597,35913864,36010718,36050257,36115807,36715022,36892477,37780827,38345588,38473262,38571517,39058971,39356610,39742561,40007787,40403097,40599704,40603570,40634099,41076577,41741857,41907997,41932868,41980384,42328718,42754600,43377182,43565437,43780415,44024487,44977175,45050977,45121742,45674667,45873757,46355323,46366561,46498775,46694737,46942964,47227932,47895668,48098925,48674615,48724284,50512964,50750708,50861314,51305520,51594010,52063982,52068061,52536498,52888964,53107467,53909403,53972610,54075764,54480158,54484561,54725888,54805537,55286461,55498868,55798530,56209988,56522072,56571935,57203677,57260625,57570784,57718710,57963435,58005100,58409538,58578308,58605758,58793437,58952017,59518432,59660735,59743837,59997764,60533857,61002782,61078000,61119058,61164577,61566624,61827664,61912812,62085815,62543450,62736337,62963915,63029031,63223175,63519517,63587331,63736472,64074302,64300897,64767132,65664068,65775662,65858257,65861187,66115502,66221890,66324061,66958236,67098961,67563037,67872061,67886322,68254964,68712750,68829038,68862795,69262452,69556122,69606120,70946461,71195822,71252317,71592882,71703531,71781764,72168157,72659020,72929377,73218878,73233361,73293600,73453648,74246528,74305995,74502978,74748147,75052140,75504061,75535748,75556698,75572558,75867810,76558177,76707188,77116459,77458897,78179840,78207517,78306885,78406175,79252561,79259728,79432683,79466268,80055616,80391215,80442577,80592398,80817050,80917748,80925664,81690747,82455300,82552388,82635354,82923902,82956061,83250397,83256398,83527344,84052295,84717757,84916718,84928811,85293272,86242382,86725784,86729314,87190824,87312940,87922851,87952320,88144964,88506635,88887095,89167194,89546462,89948450,90062568,90472731,90515197,91041372,91630964,91660861,93168335,93815808,93868827,93968262,94087410,94147982,94602700,94878068,95130987,95954931,96469458,96618961,96980460,97013543,97566507,97743662,97990087,98089677,98156967,98438077,98716861,98946360,99372302,99412561,...,3623769503689047302321427023492056251286125588166442477990328927600448428289933083094243148862131551339087180959902372317607769073033129173144736445805593389174370546840155582148266084849439258098366455835138492676836461260210332582896990038496434389582576905814322539554329727429420466521809888368862906590765368115197721439584069174126013115975672708228616992115626713968116384109067305566292528850386657216202041123131543342380459083985918185997705365130531606087971631128938451015870983089463591732566773373928156501274150601749399316629578772986427974328216501288384698275399299905597760992049276239940115119185819179394202115112573314718057817270723053668161216463204498300214683365254204913716051331212270190593576815439557736495565069308521402553917006985458505823087477464512417056820936671447027781467117371525818471722568644683570614395597008746442945824306448619480701936581422380491375306205647422742717354366936520398049497300592281930701992394855699023449497663055769103565628259123428558448841425366556307565773321346051556019471309307257658148770859775902000636446750646462560865380665691985262080811415015030563332139715263469772561188953328793112570923445108306278953703635037154493040357050068546627095599185319161815107063137704773980223138170947344613935016740354375997443295813040478080428900779855554927956325616557283644851338745491271586350022158261884897444399401829169701170556928285171214316426945986303802034996858351397083536476012807975147686995084356653212211200963724573150549521951914889542022504706292044834430311941270862457439372236058677448581355590450136542298074555601651729534016260873413786464322190782511595848796408052474711443633324048549606350557258474822114195298588901086673526197849608946591735464885898545609984138690826388318358650437925558595368015389838768944401152990142092910017834167272538329558068138547735018126381315438326515834630113263477140613076520607191977670055054816067587982973973782218679080972955440927419348141475248516183392245880565831503058231238968429241571161144179670573236353405300895751123257871860779287759838370721269232728030512002097543876267235030804557898951779733212898042332733895634418111076836636340296880133106837781183444402966880573512175619154672621536245176183894785076881101240203467504939261225617000129228867026557964557871319734746140962217917796700592305033549673779080807755116171251585143640132459221516797739835327720898473575106846828410220886112817699662757155600684573291382956518417655885372272461582956329570481470531056912960669524368534002279256577843814876822318813188611912840286146315966684486623001559009348865607072714003072312666496359533515204974892183513168826376870842948532661527125861245995985046469812139253599665549827209507669381195580604572749695217054609826377978906460459388657366377746030944130396985533369758863722462604091608215532943760015831366330841311183257075398909674075207593446971969102508630351431512315968265923723747725299956137346770903172615598359225589951158833102092590789818555983945132176971568206236347610499824124325041615076444648304383177907187839713419994932205507974674564379818385224243079874740600937211340573905362159208682519655738081826594586654776493719541461045590304276574104161372033544296636734944717735541492007596315706427612563406799236239516841669342273248502837831542446199600826519618836972669733223619747664172738316888729165443780116400865624203843898473011412682369178320046886691785289432150107992455952447258456372006318757428844838573025133246656352644258941814854116711457461072017459187138245819958166836717810226851998604329087384928111351516942856808620267670889352008939909166673515212668431835845407105226222967427183988713567364076294053828138908817294785606078689416855962510339902903110748027197445945048724727811374756525221038092691836978470125771748136120117188317148651071751726879750169326685057579614225342856831422875894802181895544109407630202238332884951101780907412127983112035007339959902173179159086425293687861896996169956427821238003008403090001758558545688812519193966521858263998053444808284123892043602130421724649133029505241274567189830087633475203869748199506476335624019365401084736820960354030885019767222355145093710654251751952017071082369916737995786287619491094990915888451661339935739339678076618283896868954676779476239712661037068856651315906419112242117308619622012736333660571725382295748356340664391208030856651038915988581329244980259409670649963704707013452195869496755742987599431542571894132781499474231245888428047514553587347017354383299811415350368909639472850406843142063236390003117454349830003893536895954780786892977510945315024876112206456871276254060106580556629808350201576795685153948575426650580692646108396476969620291090726288966696983122034216798645025531978597467322023869962878703547600590478073058862229373038046063000356516}
30563 1572726365575013721499875678525256760175485751904673385123294384151578976309583877804126: {122236,244456,275013,641613,763825,916590,977696,1099908,2839197,2901205,3481446,3634141,3936693,4367077,4426705,5191630,5312046,6129093,6229956,6255985,7390438,7507182,7723837,8822881,9301585,10037461,10214485,11116196,11161902,12257382,12595261,13558705,14319813,14339230,14430757,15044881,15081326,15807806,15880280,16143493,16261297,16270446,16594705,17207076,17582493,17865315,17993230,18812024,18980941,19056336,19190161,19323685,19660676,19789957,19913646,19929685,20459461,21012433,21163527,21438378,21591876,21752917,21920637,22582580,22806301,23188422,23386597,23915622,24596702,25194675,25376485,25522244,26041022,26874320,26987636,27099096,27115630,27233821,27474193,27519118,27818197,27863013,28086680,29000485,30161533,30233610,30451782,30486483,30555453,30704437,31424631,31597515,31630917,32016085,32249184,32538756,32580430,32723281,32873893,32962933,33704016,33779253,34315797,34498717,34800582,35524741,35559502,36231205,36256177,36280332,36732836,37201460,37410275,37917018,38022277,38035285,38065557,38419302,38754061,39096516,39577318,39979537,40699006,40917181,41271213,41625188,41804733,43477446,44641752,44892330,45642342,45671384,46019636,47885152,47931985,48734206,49251333,49456813,49755877,49830517,50210401,50221971,50374436,50749630,51154093,51371157,51380307,51900573,52078628,52416085,52475480,53343716,53443250,53870796,54016077,54099206,54487477,54944782,55072533,55632742,55769413,57517342,57518382,57709893,58678705,58699316,59034915,59197381,59869585,60899556,60905355,62583326,62899302,62970576,63141205,63438385,63493077,64131900,64271942,64965712,65065773,65335357,65921542,66111205,66209137,66509461,67306021,67594705,67657678,67682613,68407360,69352262,69373585,69434293,69950942,70048664,70262485,70414446,70421461,70652590,70809956,70841898,71843502,71879204,71963480,72506375,72507598,73086426,73222885,74398040,74631613,74997205,75769446,75885061,76126062,76290517,76291971,76347500,76383637,76958280,77284580,77391015,77707597,77879384,78095973,78345277,78804747,79079773,79333446,79670590,79692877,80958915,81108241,81113646,81720237,82080085,82088832,82550416,83248302,83697795,84038708,84314982,84521006,84783108,85318705,86356176,86578065,87007650,87614307,87814916,87867462,87908637,88391821,89277648,89483173,89727205,89996646,90515096,90823775,90897397,91133857,91504173,91617000,91678587,91817060,92349936,92406781,92741496,92808160,92869218,92960797,93380413,93567661,93815175,94227397,94414981,94419685,95279461,95457176,95604708,95799853,95883901,95883985,96111453,97150698,97524757,97724800,98360941,98441617,98496102,98663493,99074660,99173253,99332835,99337304,99505222,99664196,...,5435654255533570953482140535238084376929188382249663716985493391400672642434899624641364723293197327008630771439853558476411653609549693759717104668708390083761555820260233373222399127274158887147549683752707739015254691890315498874345485057744651584373865358721483809331494591144130699782714832553294359886148052172796582159376103761189019673963509062342925488173440070952174576163600958349438793275579985824303061684697315013570688625978877278996558047695797409131957446693407676523806474634195387598850160060892234751911225902624098974944368159479641961492324751932577047413098949858396641488073914359910172678778728769091303172668859972077086725906084580502241824694806747450322025047881307370574076996818405285890365223159336604743347603962782103830875510478187758734631216196768625585231405007170541672200676057288727707583852967025355921593395513119664418736459672929221052904872133570737062959308471134114076031550404780597074245950888422896052988592283548535174246494583653655348442388685142837673262138049834461348659982019077334029206963960886487223156289663853000954670125969693841298070998537977893121217122522545844998209572895204658841783429993189668856385167662459418430555452555731739560535575102819940643398777978742722660594706557160970334707256421016920902525110531563996164943719560717120643351169783332391934488424835925467277008118236907379525033237392827346166599102743754551755835392427756821474640418979455703052495287527095625304714019211962721530492626534979818316801445586859725824282927872334313033757059438067251645467911906293686159058354088016172872033385675204813447111833402477594301024391310120679696483286173767393773194612078712067165449986072824409525835887712233171292947883351630010289296774413419887603197328847818414976208036239582477537975656888337893052023084758153416601729485213139365026751250908807494337102207821602527189571973157489773751945169895215710919614780910787966505082582224101381974460960673328018621459433161391129022212212872774275088368820848747254587346858452643862356741716269505859854530107951343626684886807791168931639757556081903849092045768003146315814400852546206836848427669599819347063499100843451627166615254954510445320199660256671775166604450320860268263428732008932304367764275842177615321651860305201257408891838425500193843300539836946836806979602119211443326876695050888457550324510668621211632674256877377715460198688832275196609752991581347710362660270242615331329169226549494135733401026859937074434777626483828058408692374434494355722205796585369441004286552801003418884866765722315233478219782917869260429219473950026729934502338514023298410609071004608468999744539300272807462338275269753239565306264422798992290688791868993977569704718208880399498324740814261504071793370906859124542825581914739566968359690689082986049566619046416195595478300054638295583693906137412323299415640023747049496261966774885613098364511112811390170457953653762945527147268473952398885585621587949934206020156354758923397538838384926738249653138886184727833975917698265457352309354521415749736186487562422614666972456574766860781759570129992398308261962011846569727577836364619812110901405817010860858043238813023779483607122739891879982164740579312191568385456414861156242058050316444955102417076603312238011394473559641418845110198854359275262504013409872754256747313669299401239779428255459004599835429621496259107475333093748165670174601298436305765847709517119023553767480070330037677934148225161988683928670887684558009478136143267257859537699869984528966388412722281175067186191608026188780707368729937250255076715340277997906493631077392167027275414285212930401506334028013409863750010272819002647753768110657839334451140775983070351046114441080742208363225942178409118034125283943765509854354666122040796168917573087091717062134787831557139037755467705188657622204180175782475722976607627590319625253990027586369421338014285247134313842203272843316164111445303357499327426652671361118191974668052511009939853259768738629637940531792845494254934641731857004512604635002637837818533218778790949782787395997080167212426185838065403195632586973699544257861911850784745131450212805804622299259714503436029048101627105231440531046327529650833532717640565981377627928025606623554875106993679431429236642486373832677492009903609009517114927425845303432015169214359568991555603284976973859628668363175962929433019104500490857588073443622534510996586812046284976558373982871993867470389114505974945557060520178293804245133614481399147313857841199172249211346868832642071271830381020526031574949717123025553364459209275610264713094854585004676181524745005840305343932171180339466266417972537314168309685306914381090159870834944712525302365193527730922863139975871038969162594715454430436636089433450045474683051325197967538297967896200983035804944318055321400885717109588293344059557069094500534774}
30564 1577568071308048733429052679262082898627961946965686896261920482733134572212774432953824: {152795,183354,213899,305570,336083,366684,855484,1222120,1374885,1404794,1434299,1466544,1649862,2043299,2165003,2225843,2955299,3233954,3785596,4168499,4329722,4641928,5222169,5248924,5257643,5982299,6766043,6881474,7082728,7307843,7608563,7787445,7788899,7968069,7972922,8172124,8209403,8306608,8869403,9344934,9408683,10009576,10514594,10664483,11082299,11085657,11260773,11559323,12987323,13877483,13895245,14055299,14494394,14882536,16297634,16343176,16460521,16674294,16742853,17737634,18386073,18477299,19093084,19239203,19356299,19850350,20408723,20642243,20933963,21508845,21685754,21691499,21693928,22621989,22680083,22942768,23443324,23515030,23711709,23820420,24129683,24189122,24405669,24476843,24575845,25408448,25810614,26150723,26551528,26685434,26989845,27041474,28218036,28219283,28228225,28584504,28789168,28906499,29078123,29227516,29306843,29478299,29491014,29529722,29870469,30239354,30505523,30917896,31359563,31887496,31902805,32155043,32157567,32387814,33592900,33734545,33873870,33910883,34193363,34701323,34782633,35108350,35264963,35715299,35873433,36108923,36132128,36277499,36895053,37150684,37399499,38283366,38358722,38630003,39061533,39962461,40079243,40311480,40481454,40602376,40648644,40673445,40740604,40814714,41278677,41578499,41744723,41899508,42130020,42174556,42998912,43237499,43385008,44311034,44449523,44779403,44938688,45039004,45350415,45677673,45754396,45916045,46053794,46400776,46501825,47353499,48022117,48062363,48140354,48373776,48808134,48834722,48870645,48878603,48987299,49638803,49875194,50343299,50556024,50754076,51225736,52031485,52071683,52128688,52200873,53339253,53416283,53577299,53845499,54420498,54488363,54648899,55028284,55058114,55099254,55343723,55739644,55802190,56410043,56844998,56875527,56942003,57089230,57524545,57579299,57628953,57844499,57969928,58644774,59365977,59431499,59522336,59856440,60590723,60856456,60892922,61048509,61168883,61292581,61378883,62437782,62601122,62740763,62968045,64149299,64513523,64669499,65098285,65216169,65326754,65594350,65668444,66679645,66962628,67103723,67155323,67338495,67704122,68144461,68382074,68463513,68494876,68507076,68648243,69029454,69200764,69315299,69571499,71763194,71827728,72021436,72100514,72231614,73101309,73137299,73238603,73374145,73430044,73784954,73896299,74300363,74502203,75559763,75561654,76124445,76262843,76691176,76946524,77143034,77514443,77664299,77764163,78117942,78713220,79200709,79485122,80015574,80164875,80646299,80806194,81148809,81199408,81207140,81268198,81535283,82153154,82417173,83256443,83449113,83483714,83525029,83599499,83815994,83865736,83960768,84657436,84723923,85509200,86038499,86276013,86277573,86754364,86766299,86920141,87130874,87560830,87637283,88048974,88149481,88512445,89849005,89954350,90101954,90243484,90521843,91349334,91715243,91747514,92710646,92733122,92997550,93389474,93708899,93803483,93874989,93885928,94348953,94455864,94511843,95434375,95500523,95791336,95829299,96197850,96392003,96407913,96605725,96672923,97349230,97373963,97448568,97467299,97933499,98073203,98724203,98770643,98882313,99419963,...,8153481383300356430223210802857126565393782573374495575478240087101008963652349436962047084939795990512946157159780337714617480414324540639575657003062585125642333730390350059833598690911238330721324525629061608522882037835473248311518227586616977376560798038082225713997241886716196049674072248829941539829222078259194873239064155641783529510945263593514388232260160106428261864245401437524158189913369978736454592527045972520356032938968315918494837071543696113697936170040111514785709711951293081398275240091338352127866838853936148462416552239219462942238487127898865571119648424787594962232110871539865259018168093153636954759003289958115630088859126870753362737042210121175483037571821961055861115495227607928835547834739004907115021405944173155746313265717281638101946824295152938377847107510755812508301014085933091561375779450538033882390093269679496628104689509393831579357308200356105594438962706701171114047325607170895611368926332634344079482888425322802761369741875480483022663583027714256509893207074751692022989973028616001043810445941329730834734434495779501432005188954540761947106497806966839681825683783818767497314359342806988262675144989784503284577751493689127645833178833597609340803362654229910965098166968114083990892059835741455502060884631525381353787665797345994247415579341075680965026754674998587901732637253888200915512177355361069287549856089241019249898654115631827633753088641635232211960628469183554578742931290643437957071028817944082295738939802469727475202168380289588736424391808501469550635589157100877468201867859440529238587531132024259308050078512807220170667750103716391451536586965181019544724929260651090659791918118068100748174979109236614288753831568349756939421825027445015433945161620129831404795993271727622464312054359373716306963485332506839578034627137230124902594227819709047540126876363211241505653311732403790784357959736234660627917754842823566379422171366181949757623873336152072961691441009992027932189149742086693533318319309161412632553231273120881881020287678965793535112574404258789781795161927015440027330211686753397459636334122855773638068652004719473721601278819310255272641504399729020595248651265177440749922882431765667980299490385007662749906675481290402395143098013398456551646413763266422982477790457801886113337757638250290764950809755420255210469403178817164990315042576332686325486766002931817449011385316066573190298033248412794914629487372021565543990405363922996993753839824241203600101540289905611652166439725742087613038561651741533583308694878054161506429829201505128327300148583472850217329674376803890643829210925040094901753507771034947615913606506912703499616808950409211193507412904629859347959396634198488436033187803490966354557077313320599247487111221392256107690056360288686814238372872109350452539536033624479074349928569624293393217450081957443375540859206118484949123460035620574244392950162328419647546766669217085255686930480644418290720902710928598328378432381924901309030234532138385096308257577390107374479708329277091750963876547398186028464031782123624604279731343633922000458684862150291172639355194988597462392943017769854591366754546929718166352108725516291287064858219535669225410684109837819973247110868968287352578184622291734363087075474667432653625614904968357017091710339462128267665298281538912893756020114809131385120970503949101859669142383188506899753144432244388661212999640622248505261901947654458648771564275678535330651220105495056516901222337742983025893006331526837014217204214900886789306549804976793449582619083421762600779287412039283171061053094905875382615073010416996859740446616088250540913121427819395602259501042020114795625015409228503971630652165986759001676711163974605526569171661621113312544838913267613677051187925915648264781531999183061194253376359630637575593202181747335708556633201557782986433306270263673713584464911441385479437880985041379554132007021427870701470763304909264974246167167955036248991139979007041677287962002078766514909779889653107944456910797689268241382401962597785506768906952503956756727799828168186424674181093995620250818639278757098104793448880460549316386792867776177117697175319208706933448889571755154043572152440657847160796569491294476250299076460848972066441892038409935332312660490519147143854963729560749016238014855413514275672391138767955148022753821539353487333404927465460789443002544763944394149528656750736286382110165433801766494880218069427464837560974307990801205583671758962418335590780267440706367700421722098720970786761798758373817020303248963106907745571530789047362424575684538330046688813913415397069642281877507014272287117508760458015898256770509199399626958805971252464527960371571635239806252417068787953547790291596384294709963806558453743892073181645654954134150175068212024576987796951307446951844301474553707416477082982101328575664382440016089335603641750802161}
30565 1582424596317043151624232402275234899837650138486654795268345613124277886922743896969063: {244472,275031,458355,488912,550026,1069355,1283226,1527650,1833180,1955392,2107191,2199816,2474793,4061687,4731995,4850931,5161091,5678394,5802410,6197387,6494583,6561155,6962892,7268282,7873386,8734154,8758379,8853410,9128171,9860867,10215155,10322211,10383260,10624092,11959383,12258186,12420419,12459912,12511970,13022219,14017401,14300279,14780876,15014364,15447674,15771891,16082459,16814867,17054531,17645762,18603170,18982187,20074922,20428970,20460803,21447827,21741591,22232392,22323804,23232587,23388131,23866355,24179363,24446451,24514764,25011441,25190522,26606451,27053159,27117410,27901559,28639626,28678460,28861514,29304155,29775525,30089762,30162652,30706451,31615612,31760560,32286986,32522594,32528631,32540892,32876051,33189410,34414152,34980059,35164986,35272545,35527079,35730630,35986460,36283683,36534395,37624048,37961882,38024771,38112672,38380322,38647370,38715921,38756603,39321352,39579914,39827292,39859370,40028151,40562211,40600679,40644503,40771211,40918922,40919867,41742179,41991125,42024866,42327054,42506519,42876756,43183752,43505834,43841274,44236521,44294583,44822519,45165160,45359031,45612602,45730967,46376844,46438355,46773194,47831244,48581721,49193404,50389350,50499383,50723687,50752970,50810805,50925755,51044488,51157451,52082044,52374385,52662525,52718195,53249399,53748640,53975272,54198192,54231260,54467642,54491063,54948386,55038236,55636394,55726026,56117507,56173360,56298755,57192995,57425049,57538083,58000970,58890611,59201267,60323066,60467220,60722181,60903564,60972966,61110906,61222071,61408874,62849262,63195030,63261834,63279959,63442595,64032170,64394291,64498368,65077512,65160860,65446562,65747786,65925866,66466551,66513827,67104779,67408032,67558506,68631594,68764019,68785355,68997434,69080691,69438851,69601164,69674555,71049482,71119004,72210531,72462410,72512354,72560664,73212201,73252083,73382519,73465672,74402920,74812791,74820550,75834036,76044554,76070570,76131114,76838604,77508122,78193032,79154636,79959074,80359763,81113579,81398012,81630747,81834362,82085555,82150187,82542426,82587171,82648881,83225363,83250376,83609466,83703285,83817419,85267497,85618595,85633845,86500955,86954892,87967161,88397687,88813739,89002427,89283504,89784660,90026795,90271571,90650387,91284684,91339383,91342768,91787555,91836251,92039272,92555687,93439259,93656673,93901683,94182491,94233623,94632587,95579411,95770304,95863970,96179747,96183155,97123019,97166183,97198391,97468412,97990131,98367479,98391525,98502666,98913626,99511754,99661034,...,10871308511067141906964281070476168753858376764499327433970986782801345284869799249282729446586394654017261542879707116952823307219099387519434209337416780167523111640520466746444798254548317774295099367505415478030509383780630997748690970115489303168747730717442967618662989182288261399565429665106588719772296104345593164318752207522378039347927018124685850976346880141904349152327201916698877586551159971648606123369394630027141377251957754557993116095391594818263914893386815353047612949268390775197700320121784469503822451805248197949888736318959283922984649503865154094826197899716793282976147828719820345357557457538182606345337719944154173451812169161004483649389613494900644050095762614741148153993636810571780730446318673209486695207925564207661751020956375517469262432393537251170462810014341083344401352114577455415167705934050711843186791026239328837472919345858442105809744267141474125918616942268228152063100809561194148491901776845792105977184567097070348492989167307310696884777370285675346524276099668922697319964038154668058413927921772974446312579327706001909340251939387682596141997075955786242434245045091689996419145790409317683566859986379337712770335324918836861110905111463479121071150205639881286797555957485445321189413114321940669414512842033841805050221063127992329887439121434241286702339566664783868976849671850934554016236473814759050066474785654692333198205487509103511670784855513642949280837958911406104990575054191250609428038423925443060985253069959636633602891173719451648565855744668626067514118876134503290935823812587372318116708176032345744066771350409626894223666804955188602048782620241359392966572347534787546389224157424134330899972145648819051671775424466342585895766703260020578593548826839775206394657695636829952416072479164955075951313776675786104046169516306833203458970426278730053502501817614988674204415643205054379143946314979547503890339790431421839229561821575933010165164448202763948921921346656037242918866322782258044424425745548550176737641697494509174693716905287724713483432539011719709060215902687253369773615582337863279515112163807698184091536006292631628801705092413673696855339199638694126998201686903254333230509909020890640399320513343550333208900641720536526857464017864608735528551684355230643303720610402514817783676851000387686601079673893673613959204238422886653753390101776915100649021337242423265348513754755430920397377664550393219505983162695420725320540485230662658338453098988271466802053719874148869555252967656116817384748868988711444411593170738882008573105602006837769733531444630466956439565835738520858438947900053459869004677028046596821218142009216937999489078600545614924676550539506479130612528845597984581377583737987955139409436417760798996649481628523008143586741813718249085651163829479133936719381378165972099133238092832391190956600109276591167387812274824646598831280047494098992523933549771226196729022225622780340915907307525891054294536947904797771171243175899868412040312709517846795077676769853476499306277772369455667951835396530914704618709042831499472372975124845229333944913149533721563519140259984796616523924023693139455155672729239624221802811634021721716086477626047558967214245479783759964329481158624383136770912829722312484116100632889910204834153206624476022788947119282837690220397708718550525008026819745508513494627338598802479558856510918009199670859242992518214950666187496331340349202596872611531695419034238047107534960140660075355868296450323977367857341775369116018956272286534515719075399739969057932776825444562350134372383216052377561414737459874500510153430680555995812987262154784334054550828570425860803012668056026819727500020545638005295507536221315678668902281551966140702092228882161484416726451884356818236068250567887531019708709332244081592337835146174183434124269575663114278075510935410377315244408360351564951445953215255180639250507980055172738842676028570494268627684406545686632328222890606714998654853305342722236383949336105022019879706519537477259275881063585690988509869283463714009025209270005275675637066437557581899565574791994160334424852371676130806391265173947399088515723823701569490262900425611609244598519429006872058096203254210462881062092655059301667065435281131962755255856051213247109750213987358862858473284972747665354984019807218019034229854851690606864030338428719137983111206569953947719257336726351925858866038209000981715176146887245069021993173624092569953116747965743987734940778229011949891114121040356587608490267228962798294627715682398344498422693737665284142543660762041052063149899434246051106728918418551220529426189709170009352363049490011680610687864342360678932532835945074628336619370613828762180319741669889425050604730387055461845726279951742077938325189430908860873272178866900090949366102650395935076595935792401966071609888636110642801771434219176586688119114138189001069548}
30566 1587295985697884410604463933967995581690355164033614686296715872072492801991165711597219: {213913,305590,366708,397189,427798,611140,672166,733368,825039,1129573,1710968,1924839,2225989,2291475,2444240,2749770,2809588,2868598,2933088,2955493,3299724,4086598,4229353,4330006,4451686,4955689,5910598,6043033,6467908,7571192,8336998,8517591,8659444,8703615,9283856,9289513,9469189,10444338,10497848,10515286,10902423,11440873,11810079,11964598,11977093,12979075,13047589,13101231,13280115,13532086,13759813,13762948,13937689,14165456,14615686,15217126,15574890,15577798,15936138,15945844,16344248,16418806,16613216,17303653,17738806,18185113,18387279,18476095,18537193,18689868,18767955,18817366,19453343,20019152,21029188,21328966,21867589,22164598,22171314,22521546,23118646,23171511,25974646,26210089,26468643,27754966,27762373,27790490,27904755,28110598,28622233,28988788,29480293,29765072,30112383,30643455,30678553,32213989,32595268,32686352,32921042,33064489,33234373,33348588,33485706,34406183,35475268,35848075,36772146,36954598,37458073,37703315,37785783,37961893,38186168,38478406,38712598,39519515,39700700,40676115,40804633,40817446,41284486,41636773,41867926,42959439,43017690,43292271,43295653,43371508,43382998,43387856,44663927,44782489,44947333,44983075,45134643,45243978,45360166,45885536,46886648,47030060,47228363,47423418,47640840,47902213,48259366,48378244,48430479,48783891,48811338,48953686,49045033,49151690,49696489,49784115,50509189,50671513,50816896,51158053,51621228,52301446,52747479,53103056,53370868,53595945,53902873,53979690,54082948,56436072,56438566,56456450,56753411,56786473,56942823,56945989,57169008,57570483,57578336,57583333,57812998,57901573,57971055,58156246,58455032,58537189,58613686,58956598,58982028,59059444,59369871,59488453,59740938,59789055,60478708,60752773,61011046,61378383,61491755,61835792,61855273,62719126,63037299,63490581,63774992,63805610,64205893,64282463,64310086,64315134,64674073,64775628,65102555,65258751,65761911,66229993,67160089,67185800,67469090,67747740,67789075,67821766,68386726,68418903,68797795,69320233,69402646,69565266,70159791,70216700,70529926,71160553,71430598,71746866,72217846,72264256,72554998,72844079,73790106,73901593,74301368,74798998,74810089,75584025,75715993,76129455,76468933,76566732,76717444,76919833,77260006,77819689,78123066,78567589,79924922,80158486,80534363,80622960,80962908,81204752,81297288,81346890,81451075,81481208,81629428,81701463,82422579,82557354,83156998,83454591,83489446,83589039,83605573,83799016,84260040,84349112,84632473,85363813,85997824,86474998,86770016,86821093,87001455,88155263,88271173,88622068,88898755,88899046,89558806,89877376,90078008,90145513,90289189,90484599,90700830,91137599,91355346,91459449,91508792,91666359,91832090,92107588,92113311,92801552,93003650,93351503,93715813,93857689,94273893,94706998,94707433,94792545,94892751,96044234,96048255,96124726,96280708,96747552,97241113,97381189,97616268,97669444,97741290,97757206,97974598,98169843,98621679,98777989,98888799,98943295,99277606,99750388,...,16306962766600712860446421605714253130787565146748991150956480174202017927304698873924094169879591981025892314319560675429234960828649081279151314006125170251284667460780700119667197381822476661442649051258123217045764075670946496623036455173233954753121596076164451427994483773432392099348144497659883079658444156518389746478128311283567059021890527187028776464520320212856523728490802875048316379826739957472909185054091945040712065877936631836989674143087392227395872340080223029571419423902586162796550480182676704255733677707872296924833104478438925884476974255797731142239296849575189924464221743079730518036336186307273909518006579916231260177718253741506725474084420242350966075143643922111722230990455215857671095669478009814230042811888346311492626531434563276203893648590305876755694215021511625016602028171866183122751558901076067764780186539358993256209379018787663158714616400712211188877925413402342228094651214341791222737852665268688158965776850645605522739483750960966045327166055428513019786414149503384045979946057232002087620891882659461669468868991559002864010377909081523894212995613933679363651367567637534994628718685613976525350289979569006569155502987378255291666357667195218681606725308459821930196333936228167981784119671482911004121769263050762707575331594691988494831158682151361930053509349997175803465274507776401831024354710722138575099712178482038499797308231263655267506177283270464423921256938367109157485862581286875914142057635888164591477879604939454950404336760579177472848783617002939101271178314201754936403735718881058477175062264048518616100157025614440341335500207432782903073173930362039089449858521302181319583836236136201496349958218473228577507663136699513878843650054890030867890323240259662809591986543455244928624108718747432613926970665013679156069254274460249805188455639418095080253752726422483011306623464807581568715919472469321255835509685647132758844342732363899515247746672304145923382882019984055864378299484173387066636638618322825265106462546241763762040575357931587070225148808517579563590323854030880054660423373506794919272668245711547276137304009438947443202557638620510545283008799458041190497302530354881499845764863531335960598980770015325499813350962580804790286196026796913103292827526532845964955580915603772226675515276500581529901619510840510420938806357634329980630085152665372650973532005863634898022770632133146380596066496825589829258974744043131087980810727845993987507679648482407200203080579811223304332879451484175226077123303483067166617389756108323012859658403010256654600297166945700434659348753607781287658421850080189803507015542069895231827213013825406999233617900818422387014825809259718695918793268396976872066375606981932709114154626641198494974222442784512215380112720577373628476745744218700905079072067248958148699857139248586786434900163914886751081718412236969898246920071241148488785900324656839295093533338434170511373860961288836581441805421857196656756864763849802618060469064276770192616515154780214748959416658554183501927753094796372056928063564247249208559462687267844000917369724300582345278710389977194924785886035539709182733509093859436332704217451032582574129716439071338450821368219675639946494221737936574705156369244583468726174150949334865307251229809936714034183420678924256535330596563077825787512040229618262770241941007898203719338284766377013799506288864488777322425999281244497010523803895308917297543128551357070661302440210990113033802444675485966051786012663053674028434408429801773578613099609953586899165238166843525201558574824078566342122106189811750765230146020833993719480893232176501081826242855638791204519002084040229591250030818457007943261304331973518003353422327949211053138343323242226625089677826535227354102375851831296529563063998366122388506752719261275151186404363494671417113266403115565972866612540527347427168929822882770958875761970082759108264014042855741402941526609818529948492334335910072497982279958014083354575924004157533029819559779306215888913821595378536482764803925195571013537813905007913513455599656336372849348362187991240501637278557514196209586897760921098632773585735552354235394350638417413866897779143510308087144304881315694321593138982588952500598152921697944132883784076819870664625320981038294287709927459121498032476029710827028551344782277535910296045507643078706974666809854930921578886005089527888788299057313501472572764220330867603532989760436138854929675121948615981602411167343517924836671181560534881412735400843444197441941573523597516747634040606497926213815491143061578094724849151369076660093377627826830794139284563755014028544574235017520916031796513541018398799253917611942504929055920743143270479612504834137575907095580583192768589419927613116907487784146363291309908268300350136424049153975593902614893903688602949107414832954165964202657151328764880032178671207283501604322}
30567 1592182284682895104522455121378930736767504013131646082136771112174409171098753046588030: {458385,488944,550062,641697,763925,916710,977824,1008249,1100052,1497097,2138710,2566452,3055300,3511985,3666360,3910784,4124655,4214382,4302897,4399632,4949586,5710793,6129897,6495009,6624793,6677529,8084885,8123374,8865897,9185617,9463990,9701862,10322182,10824305,11020969,11356788,11604820,12394774,12505497,12989166,13122310,13925784,14301217,14536564,14678677,15666507,15746772,15772929,15773153,17203685,17468308,17516758,17706820,17946897,17974513,18256342,19721734,19792553,19932305,20298129,20430310,20644422,20766520,21248184,21264773,21923529,22825689,23362335,23366697,23904207,23918766,24180949,24516372,24628209,24840838,24919824,25023940,25658069,26044438,26286485,26608209,27477797,28034802,28226049,28600558,29561752,29827193,30028728,30582473,30895348,31543782,31993449,32164918,32967257,33246897,33256971,33412897,33629734,33782319,34109062,34677969,35291524,35838473,36235985,36260933,37168529,37206340,37964374,38961969,40149844,40647169,40744085,40857940,40921606,41025817,41559233,41632449,41685735,41744917,42165897,42895654,42988937,43483182,44344085,44464784,44647608,45733969,46465174,46776262,47732710,48358726,48892902,49029528,49381563,49625875,50022882,50228559,50234977,50381044,51148153,52280933,53212902,54106318,54214385,54234820,55158219,55431897,55803118,55824593,57279252,57356920,57717609,57723028,58068897,58608310,58787575,59551050,59681089,60179524,60325304,60472805,61226169,61412902,61926729,62731553,62801889,63231224,63284113,63521120,64398529,64526535,64573972,65013697,65045188,65057262,65074497,65081784,65752102,66378820,66713585,67603685,67865967,68040249,68768533,68828304,69960118,70329972,70545090,71054158,71135127,71296057,71461260,71972920,72389049,72567366,73068790,73217007,73324139,73430529,73699673,73727535,73805473,73824305,75248096,75598385,75893297,75923764,76049542,76225344,76760644,77294740,77431842,77513206,77717849,78452169,78588869,78642704,78818257,79090169,79159828,79654584,79718740,80056302,80070193,80969535,81124422,81201358,81289006,81542422,81837844,81839734,83484358,83982250,84049732,84654108,84657849,84684675,85013038,85753512,86367504,86719497,87011668,87234369,87637649,87682548,87770875,87920529,88434897,88473042,88589166,88819633,89611407,89645038,90330320,90656353,90718062,91225204,91461934,91516569,92753688,92876710,93546388,94078689,94427393,94970629,95662488,95708415,95896805,96299497,96465129,96472701,97163442,97544377,98386808,...,24460444149901069290669632408571379696181347720123486726434720261303026890957048310886141254819387971538838471479341013143852441242973621918726971009187755376927001191171050179500796072733714992163973576887184825568646113506419744934554682759850932129682394114246677141991725660148588149022216746489824619487666234777584619717192466925350588532835790780543164696780480319284785592736204312572474569740109936209363777581137917561068098816904947755484511214631088341093808510120334544357129135853879244194825720274015056383600516561808445387249656717658388826715461383696596713358945274362784886696332614619595777054504279460910864277009869874346890266577380612260088211126630363526449112715465883167583346485682823786506643504217014721345064217832519467238939797151844914305840472885458815133541322532267437524903042257799274684127338351614101647170279809038489884314068528181494738071924601068316783316888120103513342141976821512686834106778997903032238448665275968408284109225626441449067990749083142769529679621224255076068969919085848003131431337823989192504203303487338504296015566863622285841319493420900519045477051351456302491943078028420964788025434969353509853733254481067382937499536500792828022410087962689732895294500904342251972676179507224366506182653894576144061362997392037982742246738023227042895080264024995763705197911761664602746536532066083207862649568267723057749695962346895482901259265924905696635881885407550663736228793871930313871213086453832246887216819407409182425606505140868766209273175425504408651906767471302632404605603578321587715762593396072777924150235538421660512003250311149174354609760895543058634174787781953271979375754354204302244524937327709842866261494705049270818265475082335046301835484860389494214387979815182867392936163078121148920890455997520518734103881411690374707782683459127142620380629089633724516959935197211372353073879208703981883753264528470699138266514098545849272871620008456218885074323029976083796567449226260080599954957927484237897659693819362645643060863036897380605337723212776369345385485781046320081990635060260192378909002368567320914205956014158421164803836457930765817924513199187061785745953795532322249768647295297003940898471155022988249720026443871207185429294040195369654939241289799268947433371373405658340013272914750872294852429266260765631408209536451494970945127728998058976460298008795452347034155948199719570894099745238384743888462116064696631971216091768990981261519472723610800304620869716834956499319177226262839115684955224600749926084634162484519289487604515384981900445750418550651989023130411671931487632775120284705260523313104842847740819520738110498850426851227633580522238713889578043878189902595465308099563410472899063671231939961797742461333664176768323070169080866060442715118616328051357618608100873437223049785708872880179652350245872330126622577618355454847370380106861722733178850486985258942640300007651255767060791441933254872162708132785794985135297145774703927090703596415155288924772732170322123439124987831275252891629642194558085392095346370873812839194030901766001376054586450873517918065584965792387178829053309563774100263640789154499056326176548873861194574658607007676232052329513459919741332606904862057734553866875203089261226424002297960876844714905071051275131018386384802995894844616738681268060344427394155362911511847305579007427149565520699259433296733165983638998921866745515785705842963375946314692827035605991953660316485169550703667013228949077679018994580511042651612644702660367919649414930380348747857250265287802337862236117849513183159284717626147845219031250990579221339848264751622739364283458186806778503126060344386875046227685511914891956497960277005030133491923816579707514984863339937634516739802841031153563777746944794344595997549183582760129078891912726779606545242007125669899604673348959299918810791021140753394734324156438313642955124138662396021064283612104412289914727794922738501503865108746973419937021125031863886006236299544729339668959323833370732393067804724147205887793356520306720857511870270183399484504559274022543281986860752455917836271294314380346641381647949160378603328531353091525957626120800346668715265462130716457321973541482389708473883428750897229382546916199325676115229805996937981471557441431564891188682247048714044566240542827017173416303865444068261464618060462000214782396382368329007634291833182448585970252208859146330496301405299484640654208282394512682922923972403616751015276887255006772340802322119103101265166296162912360285396275121451060909746889320723236714592367142087273727053614990140066441740246191208926845632521042816861352526281374047694770311527598198880876417913757393583881114714905719418757251206363860643370874789152884129891419675361231676219544936964862402450525204636073730963390853922340855532904423661122249431248946303985726993147320048268006810925252406483}
30568 1597083538641243373799176739080363427615389615122705229450940981267219860050963619940697: {336127,427826,611180,733416,794378,825093,855596,885631,1222280,1344332,1375065,1466736,1650078,1800031,2165287,2259146,3077167,3208065,3421936,3819125,3849678,4169047,4451978,4582950,4888480,5439631,5499540,5619176,5737196,5866176,5910986,6321573,6599448,6887407,7424379,8173196,8458706,8660012,8903372,9911378,11821196,12086066,12185061,12935816,12989047,13523431,14195985,14412631,14506025,14552793,15142384,15300031,15483273,15654487,16673996,16716127,17035182,17318888,17407230,18170705,18567712,18579026,18592161,18938378,19183207,19358887,19483749,19683465,20888676,20936767,20995696,21030572,21804846,21835385,22133525,22881746,23620158,23929196,23954186,24075031,24595807,25866533,25958150,26095178,26202462,26275137,26560230,27064172,27384513,27519626,27525896,27875378,28330912,29231372,29582601,30434252,30452647,30645465,30966633,31149780,31155596,31279925,31872276,31891688,32688496,32837612,33226432,34607306,34706047,35477612,35878149,36057631,36370226,36774558,36952190,37074386,37261257,37379736,37535910,37634732,38619185,38906686,39066657,39750727,39917767,40038304,41916631,42052203,42058376,42657932,42900837,43735178,44114405,44329196,44342628,45043092,45225031,46237292,46343022,46507925,46540327,46868431,47315673,48177967,48247377,48994087,49320031,50187305,50444601,51072425,51163593,51949292,52420178,52784641,52937286,53692087,54656527,55327321,55509932,55524746,55580980,55778431,55809510,56221196,56946561,57056287,57244466,57852607,57977576,58960586,58964431,59530144,60224766,60546631,61286910,61357106,61382409,62798153,62976305,64343481,64427978,65190536,65224773,65372704,65842084,66027631,66128978,66468746,66493327,66697176,66971412,67072213,67793525,68040967,68812366,69120031,69697761,70164393,70950536,71420431,71599065,71696150,72153785,72538089,73249087,73339353,73544292,73909196,74916146,75034323,75224405,75406630,75571566,75923786,76273807,76372336,76956812,77175607,77425196,77475631,77775367,78224431,79039030,79401400,79716631,79819353,80717465,81159477,81306485,81352230,81609266,81634892,81645727,82568972,82973525,83273546,83704677,83709607,83735852,84882631,85613431,85918878,86035380,86051047,86088457,86584542,86591306,86743016,86765996,86775712,87912465,89326575,89327854,89564978,89894666,89966150,90269286,90487956,90678631,90720332,91143577,91681087,91771072,92109631,92119353,93773296,93817327,94060120,94456726,94525807,94846836,94904705,95281680,95804426,95950805,96078127,96316913,96518732,96618425,96640447,96756488,96860958,97481767,97567782,97585893,97622676,97907372,98090066,98303380,98628153,98878207,98949785,99392978,99568230,99648425,99851431,...,32613925533201425720892843211428506261575130293497982301912960348404035854609397747848188339759183962051784628639121350858469921657298162558302628012250340502569334921561400239334394763644953322885298102516246434091528151341892993246072910346467909506243192152328902855988967546864784198696288995319766159316888313036779492956256622567134118043781054374057552929040640425713047456981605750096632759653479914945818370108183890081424131755873263673979348286174784454791744680160446059142838847805172325593100960365353408511467355415744593849666208956877851768953948511595462284478593699150379848928443486159461036072672372614547819036013159832462520355436507483013450948168840484701932150287287844223444461980910431715342191338956019628460085623776692622985253062869126552407787297180611753511388430043023250033204056343732366245503117802152135529560373078717986512418758037575326317429232801424422377755850826804684456189302428683582445475705330537376317931553701291211045478967501921932090654332110857026039572828299006768091959892114464004175241783765318923338937737983118005728020755818163047788425991227867358727302735135275069989257437371227953050700579959138013138311005974756510583332715334390437363213450616919643860392667872456335963568239342965822008243538526101525415150663189383976989662317364302723860107018699994351606930549015552803662048709421444277150199424356964076999594616462527310535012354566540928847842513876734218314971725162573751828284115271776329182955759209878909900808673521158354945697567234005878202542356628403509872807471437762116954350124528097037232200314051228880682671000414865565806146347860724078178899717042604362639167672472272402992699916436946457155015326273399027757687300109780061735780646480519325619183973086910489857248217437494865227853941330027358312138508548920499610376911278836190160507505452844966022613246929615163137431838944938642511671019371294265517688685464727799030495493344608291846765764039968111728756598968346774133273277236645650530212925092483527524081150715863174140450297617035159127180647708061760109320846747013589838545336491423094552274608018877894886405115277241021090566017598916082380994605060709762999691529727062671921197961540030650999626701925161609580572392053593826206585655053065691929911161831207544453351030553001163059803239021681020841877612715268659961260170305330745301947064011727269796045541264266292761192132993651179658517949488086262175961621455691987975015359296964814400406161159622446608665758902968350452154246606966134333234779512216646025719316806020513309200594333891400869318697507215562575316843700160379607014031084139790463654426027650813998467235801636844774029651618519437391837586536793953744132751213963865418228309253282396989948444885569024430760225441154747256953491488437401810158144134497916297399714278497173572869800327829773502163436824473939796493840142482296977571800649313678590187066676868341022747721922577673162883610843714393313513729527699605236120938128553540385233030309560429497918833317108367003855506189592744113856127128494498417118925374535688001834739448601164690557420779954389849571772071079418365467018187718872665408434902065165148259432878142676901642736439351279892988443475873149410312738489166937452348301898669730614502459619873428068366841357848513070661193126155651575024080459236525540483882015796407438676569532754027599012577728977554644851998562488994021047607790617834595086257102714141322604880421980226067604889350971932103572025326107348056868816859603547157226199219907173798330476333687050403117149648157132684244212379623501530460292041667987438961786464353002163652485711277582409038004168080459182500061636914015886522608663947036006706844655898422106276686646484453250179355653070454708204751703662593059126127996732244777013505438522550302372808726989342834226532806231131945733225081054694854337859645765541917751523940165518216528028085711482805883053219637059896984668671820144995964559916028166709151848008315066059639119558612431777827643190757072965529607850391142027075627810015827026911199312672745698696724375982481003274557115028392419173795521842197265547171471104708470788701276834827733795558287020616174288609762631388643186277965177905001196305843395888265767568153639741329250641962076588575419854918242996064952059421654057102689564555071820592091015286157413949333619709861843157772010179055777576598114627002945145528440661735207065979520872277709859350243897231963204822334687035849673342363121069762825470801686888394883883147047195033495268081212995852427630982286123156189449698302738153320186755255653661588278569127510028057089148470035041832063593027082036797598507835223885009858111841486286540959225009668275151814191161166385537178839855226233814975568292726582619816536600700272848098307951187805229787807377205898214829665908331928405314302657529760064357342414567003208644}
30569 1601999793079354519016403778596379829730378016140393042544984249744414137165941497905361: {641739,763975,916770,977888,1069495,1100124,1191567,1283394,1527850,1680415,1833420,1955648,2016498,2200104,2475117,2994194,3388719,4277420,4916779,5132904,5774517,6110600,6382651,6677967,6749119,6874425,7023970,7171495,7332720,7821568,8249310,8428764,8605794,8799264,8866479,9738751,9899172,10216495,10825015,11129215,11318839,11421586,11936839,12259794,12688059,12990018,13249586,13355058,13763167,14776495,14867067,15154027,16169770,16246748,17731794,18129099,18371234,18640999,18927980,19403724,20354839,20463487,20644364,20842495,21648610,22041938,22302079,22471867,22713576,23209640,23391199,23766511,24085159,24789548,25010994,25552773,25963159,25978332,26110845,26244620,26288215,27427591,27851568,27868539,27905227,28407567,28602434,29073128,29357354,29829151,29911495,30584479,30710479,31333014,31493544,31545858,31546306,31619167,32707269,33830215,34180411,34322619,34407370,34936616,35033516,35250319,35413640,35430237,35893794,35931279,35949026,36508351,36512684,36539215,36801079,37170967,38029759,38042815,38761687,38937225,38944495,39142767,39303693,39443468,39585106,39840345,39864610,40596258,40860620,41047015,41279439,41288844,41533040,41561959,41813067,42354559,42496368,42512107,42529546,42991759,43845307,43847058,44347015,44425387,45651378,46254847,46724670,46733394,47043415,47808414,47837532,48046459,48361898,49032744,49256418,49681676,49839648,50047880,50730379,51316138,51910959,52088876,52572970,53216418,53316199,53322415,54555339,54955594,55161837,55358539,55411495,55428285,55611579,55828267,56069604,56303865,56452098,57041719,57201116,57796615,58360029,58431631,59123504,59654386,60057456,61164946,61790696,62081719,62735671,63087564,63801067,63986898,64329836,64498639,64936615,65602767,65934514,65974519,66493794,66513942,66825794,67057867,67259468,67564638,67931719,68218124,69355938,69387415,69476225,69514533,70276495,70435387,70583048,71676946,72471970,72521866,73704511,74337058,74412680,75898279,75900139,75928748,76197967,77010799,77294779,77923938,78630267,79405929,79708651,80299688,81294338,81488170,81715880,81843212,82051634,82302605,83118466,83264898,83287119,83371470,83489834,83677627,83714265,84008791,84207919,84331794,84661927,85791308,85866699,85977874,86966364,88440879,88688170,88929568,89295216,90337149,91467938,91848367,91930365,92035659,92386495,92930348,93399019,93508879,93552524,94645159,95465420,96192391,96196015,96641967,96717452,96781495,97785804,98059056,98624311,98763126,99193467,99251750,99703119,99709279,...,48920888299802138581339264817142759392362695440246973452869440522606053781914096621772282509638775943077676942958682026287704882485947243837453942018375510753854002382342100359001592145467429984327947153774369651137292227012839489869109365519701864259364788228493354283983451320297176298044433492979649238975332469555169239434384933850701177065671581561086329393560960638569571185472408625144949139480219872418727555162275835122136197633809895510969022429262176682187617020240669088714258271707758488389651440548030112767201033123616890774499313435316777653430922767393193426717890548725569773392665229239191554109008558921821728554019739748693780533154761224520176422253260727052898225430931766335166692971365647573013287008434029442690128435665038934477879594303689828611680945770917630267082645064534875049806084515598549368254676703228203294340559618076979768628137056362989476143849202136633566633776240207026684283953643025373668213557995806064476897330551936816568218451252882898135981498166285539059359242448510152137939838171696006262862675647978385008406606974677008592031133727244571682638986841801038090954102702912604983886156056841929576050869938707019707466508962134765874999073001585656044820175925379465790589001808684503945352359014448733012365307789152288122725994784075965484493476046454085790160528049991527410395823523329205493073064132166415725299136535446115499391924693790965802518531849811393271763770815101327472457587743860627742426172907664493774433638814818364851213010281737532418546350851008817303813534942605264809211207156643175431525186792145555848300471076843321024006500622298348709219521791086117268349575563906543958751508708408604489049874655419685732522989410098541636530950164670092603670969720778988428775959630365734785872326156242297841780911995041037468207762823380749415565366918254285240761258179267449033919870394422744706147758417407963767506529056941398276533028197091698545743240016912437770148646059952167593134898452520161199909915854968475795319387638725291286121726073794761210675446425552738690770971562092640163981270120520384757818004737134641828411912028316842329607672915861531635849026398374123571491907591064644499537294590594007881796942310045976499440052887742414370858588080390739309878482579598537894866742746811316680026545829501744589704858532521531262816419072902989941890255457996117952920596017590904694068311896399439141788199490476769487776924232129393263942432183537981962523038945447221600609241739433669912998638354452525678231369910449201499852169268324969038578975209030769963800891500837101303978046260823343862975265550240569410521046626209685695481639041476220997700853702455267161044477427779156087756379805190930616199126820945798127342463879923595484922667328353536646140338161732120885430237232656102715237216201746874446099571417745760359304700491744660253245155236710909694740760213723445466357700973970517885280600015302511534121582883866509744325416265571589970270594291549407854181407192830310577849545464340644246878249975662550505783259284389116170784190692741747625678388061803532002752109172901747035836131169931584774357658106619127548200527281578308998112652353097747722389149317214015352464104659026919839482665213809724115469107733750406178522452848004595921753689429810142102550262036772769605991789689233477362536120688854788310725823023694611158014854299131041398518866593466331967277997843733491031571411685926751892629385654071211983907320632970339101407334026457898155358037989161022085303225289405320735839298829860760697495714500530575604675724472235699026366318569435252295690438062501981158442679696529503245478728566916373613557006252120688773750092455371023829783912995920554010060266983847633159415029969726679875269033479605682062307127555493889588689191995098367165520258157783825453559213090484014251339799209346697918599837621582042281506789468648312876627285910248277324792042128567224208824579829455589845477003007730217493946839874042250063727772012472599089458679337918647666741464786135609448294411775586713040613441715023740540366798969009118548045086563973721504911835672542588628760693282763295898320757206657062706183051915252241600693337430530924261432914643947082964779416947766857501794458765093832398651352230459611993875962943114882863129782377364494097428089132481085654034346832607730888136522929236120924000429564792764736658015268583666364897171940504417718292660992602810598969281308416564789025365845847944807233502030553774510013544681604644238206202530332592325824720570792550242902121819493778641446473429184734284174547454107229980280132883480492382417853691265042085633722705052562748095389540623055196397761752835827514787167762229429811438837514502412727721286741749578305768259782839350722463352439089873929724804901050409272147461926781707844681711065808847322244498862497892607971453986294640096536013621850504812966}
30570 1606931093641323845716014326371095205590045041723022410605671937941212778338449065164082: {336149,397241,519401,672254,855652,946709,1222360,1251689,1375155,1466832,1588756,1617401,1650186,1711192,1771262,1861049,1925091,2226281,2291775,2408789,2444560,2688664,2750130,2933472,3024747,3077369,3138101,3300156,3600062,4229909,4330574,4491291,4518292,5077301,5346775,5439989,5500409,6154334,6416130,6767381,6843872,6948089,7610069,7638250,7699356,7790441,7970741,8338094,8391161,8903956,9165900,9410549,9590201,9776960,10487381,10535955,10845749,10879262,10999080,11084501,11238352,11263481,11474392,11561621,11732352,11740409,11821972,12097769,12335849,12373965,12643146,12908691,12989909,13049321,13198896,13761641,13774814,13880249,14058101,14413589,14848758,15005429,15714581,16245689,16346392,16717241,16917412,17132379,17320024,17600021,17806744,18389691,19243061,19485027,19535801,19822756,19874379,20032587,20308435,20646389,21462869,21870521,22394069,23642392,23659975,24076649,24134549,24172132,24254655,24370122,24655289,25348601,25438987,25805455,25871632,25978094,26328821,26597691,26904341,27046862,27536489,27556851,27766121,27880889,28391970,28740629,28825262,29012050,29084021,29105586,29484281,30284768,30511721,30569539,30600062,30682709,30966546,30986935,31308974,31536569,32048021,32331881,32472915,32805775,32899001,33062907,33347992,33432254,34070364,34426229,34637776,34708409,34814460,34877621,35891381,36116309,36284921,36341410,36902549,37135424,37158052,37184322,37516491,37575221,37876756,38078969,38366414,38582069,38717774,38805461,38967498,39366930,39753449,41476181,41753321,41777352,41873534,41919509,41991392,42061144,42140981,42903651,43411961,43609692,43670770,43791895,43908149,44036031,44267050,44788661,44953529,45063401,45640855,45763492,46598249,46926329,46999521,47240316,47318787,47319459,47363321,47858392,47908372,48150062,48235769,49051829,49191614,49304335,49974521,50516201,51075775,51165161,51611055,51733066,51916300,52082549,52190356,52404924,52550274,53051381,53120460,53588501,53749481,53840691,53923539,54066859,54128344,54499769,54660341,54769026,54820841,55039252,55051792,55750756,55782329,55835669,56421881,56581589,56661824,57060281,57113429,57432149,57909689,58462744,58545401,59165202,59377659,59796915,60603509,60761321,60866489,60868504,60894387,60905294,61290930,61391849,61760167,61933266,62102095,62299560,62311192,62559850,62963129,63744552,63746069,63783376,63794319,64319081,64527209,64683221,64839161,65111095,65376992,65675224,65770587,66084089,66342869,66452864,67324409,68477067,68816981,69124949,69214612,69412094,69483881,70087005,70100091,70186171,70262227,70955224,71170709,71272661,71476469,71501395,71712621,71756298,72115262,72542847,72740452,72950249,73153001,73549116,73884627,73904380,74148772,74215999,74522514,74669561,74759472,74921621,75071820,75269464,75726869,76580201,76930901,76974207,77181161,77238370,77531189,77681081,77813372,77830901,78133314,78230069,78578921,78678521,78859455,79501454,79722389,79824627,79835534,80076608,80168681,80412295,80663801,81207509,81553001,82433391,83176469,83715689,83833262,84074335,84104406,84116752,84205049,84678147,84742421,84888809,85272655,85315864,85668329,85801674,86688341,87470356,87656501,87801449,88166827,88228810,88658392,88685256,89295029,89481579,89967029,90086184,90450062,90685289,90733109,91401749,91735481,91747419,92163989,92474584,92686044,93015850,93080654,93736862,93824249,93871541,93966101,94631346,94910935,95004149,95380661,95662709,95980347,96132149,96355934,96494754,96694421,97489001,97628981,97988174,98095061,98640062,98885561,98901771,99210389,99627449,99740691,99770913,...,73381332449703207872008897225714139088544043160370460179304160783909080672871144932658423764458163914616515414438023039431557323728920865756180913027563266130781003573513150538502388218201144976491920730661554476705938340519259234803664048279552796389047182342740031425975176980445764447066650239469473858462998704332753859151577400776051765598507372341629494090341440957854356778208612937717423709220329808628091332743413752683204296450714843266453533643893265023281425530361003633071387407561637732584477160822045169150801549685425336161748970152975166480146384151089790140076835823088354660088997843858787331163512838382732592831029609623040670799732141836780264633379891090579347338146397649502750039457048471359519930512651044164035192653497558401716819391455534742917521418656376445400623967596802312574709126773397824052382015054842304941510839427115469652942205584544484214215773803204950349950664360310540026425930464538060502320336993709096715345995827905224852327676879324347203972247249428308589038863672765228206909757257544009394294013471967577512609910462015512888046700590866857523958480262701557136431154054368907475829234085262894364076304908060529561199763443202148812498609502378484067230263888069198685883502713026755918028538521673099518547961683728432184088992176113948226740214069681128685240792074987291115593735284993808239609596198249623587948704803169173249087887040686448703777797774717089907645656222651991208686381615790941613639259361496740661650458222227547276819515422606298627819526276513225955720302413907897213816810734964763147287780188218333772450706615264981536009750933447523063829282686629175902524363345859815938127263062612906733574811983129528598784484115147812454796425247005138905506454581168482643163939445548602178808489234363446762671367992561556202311644235071124123348050377381427861141887268901173550879805591634117059221637626111945651259793585412097414799542295637547818614860025368656655222969089928251389702347678780241799864873782452713692979081458087936929182589110692141816013169638329108036156457343138960245971905180780577136727007105701962742617868042475263494411509373792297453773539597561185357237861386596966749305941885891011822695413465068964749160079331613621556287882120586108964817723869397806842300114120216975020039818744252616884557287798782296894224628609354484912835383186994176929380894026386357041102467844599158712682299235715154231665386348194089895913648275306972943784558418170832400913862609150504869497957531678788517347054865673802249778253902487453557868462813546154945701337251255651955967069391235015794462898325360854115781569939314528543222458562214331496551280553682900741566716141668734131634569707786395924298690231418697191013695819885393227384000992530304969210507242598181328145355848984154072855824302620311669149357126618640538957050737616990379867732855066364542111140320585168199536551460955776827920900022953767301182374325799764616488124398357384955405891437324111781272110789245465866774318196510966370317374963493825758674888926583674256176286039112621438517582092705298004128163759352620553754196754897377161536487159928691322300790922367463497168978529646621583583723975821023028696156988540379759223997820714586173203661600625609267783679272006893882630534144715213153825393055159154408987684533850216043804181033282182466088734535541916737022281448696562097778299890199497950916996765600236547357117528890127838944078481106817975860980949455508652111001039686847233037056983741533127954837934107981103758948244791141046243571750795863407013586708353548539549477854152878443535657093752971737664019544794254868218092850374560420335509378181033160625138683056535744675869493880831015090400475771449739122544954590019812903550219408523093460691333240834383033787992647550748280387236675738180338819635726021377009698814020046877899756432373063422260184202972469314940928865372415987188063192850836313236869744183384768215504511595326240920259811063375095591658018708898634188019006877971500112197179203414172441617663380069560920162572535610810550198453513677822067629845960582257367753508813882943141039924144943847481135809985594059274577872878362401040006145796386392149371965920624447169125421650286252691688147640748597977028345689417990813944414672324294694673566046741146142133698721628481051520248911596332204784393854181386000644347189147104987022902875499547345757910756626577438991488904215898453921962624847183538048768771917210850253045830661765020317022406966357309303795498888488737080856188825364353182729240667962169710143777101426261821181160844970420199325220738573626780536897563128450584057578844122143084310934582794596642629253741272180751643344144717158256271753619091581930112624367458652389674259026083695028658634810894587207351575613908221192890172561767022566598713270983366748293746838911957180979441960144804020432775757219449}
30571 1611877486109330743765652026167997098988003092069534508298687958621153498908576542157370: {1008381,1069565,1283478,1497293,1527950,1833540,1955776,1985945,2138990,2200248,2352581,2383134,2475279,2566788,2656893,3055700,3360830,3666840,3911296,4032996,4125195,4400208,4950234,5400093,5647865,5988388,6495861,6777438,7543133,8554840,9231501,9624195,9833558,10040093,10265808,10410389,11129945,11457375,11509433,11549034,12221200,12507141,12765302,13341173,13355934,13498238,13748850,14047940,14303093,14342990,14434541,14665440,14777465,15155021,15580901,15643136,16265561,16318893,16498620,16857528,17211588,17598528,17732958,18964719,19195193,19477502,19798344,20432990,20662221,20687093,21146765,21650030,21758621,22258430,22273137,22473341,22637678,22843172,23873678,24184121,24519588,24778445,24925853,25376118,25980036,26499172,26557661,26710116,27526334,29179493,29319149,29552990,29734134,30215165,30308054,31621241,32339540,32493496,34182653,35252633,35339069,35463588,36258198,36555183,36742468,36803501,37281998,37855960,38807448,38967141,40570293,40652501,40709678,40926974,41288728,41684990,41750393,41876093,42587955,43146233,43237893,43297220,43518075,43658379,44083876,44428301,44604158,44943734,45427152,45900093,46257881,46419280,46447565,46449819,46782398,46963461,47345945,47362301,47533022,48049613,48170318,48511181,49579096,50021988,50148381,50241581,51105546,51154901,51817181,51926318,51956664,52221690,52489240,52505981,52576430,53259941,54512115,54522293,54855182,55362173,55703136,55737078,55776483,55810454,56815134,57204365,57204868,57465821,57549621,58076661,58146256,58451247,58714708,59050395,59588693,59658302,59822990,59885465,61168958,61420958,62085821,62666028,62810301,62987088,63091716,63092612,63238334,64469141,64502873,64895375,65237945,65414538,65506155,65691893,65860781,65978861,66400575,67062269,67660430,68360822,68645238,68799065,68814740,68946821,69688445,69873232,70067032,70500638,70827280,70860474,71787588,71862558,71898052,72225093,73016702,73025368,73078430,73602158,73787421,74341934,74651381,75401261,75527693,76059518,76085630,76202969,77299853,77523374,77576093,77599599,77874450,77888990,78044501,78285534,78607386,78825411,78886936,79170212,79680690,79729220,79914941,80375669,80915261,81192516,81721240,82094030,82153539,82558878,82577688,83066080,83123918,83241821,83626134,84213461,84709118,84992736,85024214,85059092,85983518,86070893,86518265,87690614,87694116,88694030,88747803,88850774,90911261,90925565,91302756,91357941,91936395,92380475,92509694,92685965,92899899,93449340,93466788,93839775,94086830,94114733,94201133,95616828,95675064,96092918,96723796,97142381,97266715,98065488,98387093,98512836,98891741,99363352,99679296,...,97841776599604277162678529634285518784725390880493946905738881045212107563828193243544565019277551886155353885917364052575409764971894487674907884036751021507708004764684200718003184290934859968655894307548739302274584454025678979738218731039403728518729576456986708567966902640594352596088866985959298477950664939110338478868769867701402354131343163122172658787121921277139142370944817250289898278960439744837455110324551670244272395267619791021938044858524353364375234040481338177428516543415516976779302881096060225534402066247233781548998626870633555306861845534786386853435781097451139546785330458478383108218017117843643457108039479497387561066309522449040352844506521454105796450861863532670333385942731295146026574016868058885380256871330077868955759188607379657223361891541835260534165290129069750099612169031197098736509353406456406588681119236153959537256274112725978952287698404273267133267552480414053368567907286050747336427115991612128953794661103873633136436902505765796271962996332571078118718484897020304275879676343392012525725351295956770016813213949354017184062267454489143365277973683602076181908205405825209967772312113683859152101739877414039414933017924269531749998146003171312089640351850758931581178003617369007890704718028897466024730615578304576245451989568151930968986952092908171580321056099983054820791647046658410986146128264332831450598273070892230998783849387581931605037063699622786543527541630202654944915175487721255484852345815328987548867277629636729702426020563475064837092701702017634607627069885210529618422414313286350863050373584291111696600942153686642048013001244596697418439043582172234536699151127813087917503017416817208978099749310839371465045978820197083273061900329340185207341939441557976857551919260731469571744652312484595683561823990082074936415525646761498831130733836508570481522516358534898067839740788845489412295516834815927535013058113882796553066056394183397091486480033824875540297292119904335186269796905040322399819831709936951590638775277450582572243452147589522421350892851105477381541943124185280327962540241040769515636009474269283656823824056633684659215345831723063271698052796748247142983815182129288999074589181188015763593884620091952998880105775484828741717176160781478619756965159197075789733485493622633360053091659003489179409717065043062525632838145805979883780510915992235905841192035181809388136623792798878283576398980953538975553848464258786527884864367075963925046077890894443201218483478867339825997276708905051356462739820898402999704338536649938077157950418061539927601783001674202607956092521646687725950531100481138821042093252419371390963278082952441995401707404910534322088954855558312175512759610381861232398253641891596254684927759847190969845334656707073292280676323464241770860474465312205430474432403493748892199142835491520718609400983489320506490310473421819389481520427446890932715401947941035770561200030605023068243165767733019488650832531143179940541188583098815708362814385660621155699090928681288493756499951325101011566518568778232341568381385483495251356776123607064005504218345803494071672262339863169548715316213238255096401054563156617996225304706195495444778298634428030704928209318053839678965330427619448230938215467500812357044905696009191843507378859620284205100524073545539211983579378466954725072241377709576621451646047389222316029708598262082797037733186932663934555995687466982063142823371853503785258771308142423967814641265940678202814668052915796310716075978322044170606450578810641471678597659721521394991429001061151209351448944471398052732637138870504591380876125003962316885359393059006490957457133832747227114012504241377547500184910742047659567825991841108020120533967695266318830059939453359750538066959211364124614255110987779177378383990196734331040516315567650907118426180968028502679598418693395837199675243164084563013578937296625753254571820496554649584084257134448417649159658911179690954006015460434987893679748084500127455544024945198178917358675837295333482929572271218896588823551173426081226883430047481080733597938018237096090173127947443009823671345085177257521386565526591796641514413314125412366103830504483201386674861061848522865829287894165929558833895533715003588917530187664797302704460919223987751925886229765726259564754728988194856178264962171308068693665215461776273045858472241848000859129585529473316030537167332729794343881008835436585321985205621197938562616833129578050731691695889614467004061107549020027089363209288476412405060665184651649441141585100485804243638987557282892946858369468568349094908214459960560265766960984764835707382530084171267445410105125496190779081246110392795523505671655029574335524458859622877675029004825455442573483499156611536519565678701444926704878179747859449609802100818544294923853563415689363422131617694644488997724995785215942907972589280193072027243701009625932}
30572 1616839016404054004961175347395762690029169397674122286753331613297011286122407363064966: {397267,580507,672298,794482,1038802,1312747,1344508,1711304,1893418,1925217,2291925,2408947,2444720,2503378,2750310,2933664,3138307,3177512,3208485,3234802,3300372,3422384,3542524,3574701,3722098,3819625,3850182,4452562,4583550,4817578,4889120,5041245,5377328,5500260,5500771,5866944,6049494,6154738,6276202,6600312,7200124,7425351,7485485,8459818,8661148,8982582,9036584,9471067,10009771,10154602,10166157,10547827,10693550,10879978,11000818,12308668,12832260,13050187,13228387,13534762,13687744,13896178,13940467,14750337,15220138,15276500,15398712,15580882,15941482,16676188,16782322,17323551,17559925,17807912,18331800,18364867,18821098,19147953,19180402,19553920,20033901,20247357,20623275,20647771,20974762,21071910,21172867,21514485,21691498,21758524,21998160,22046587,22169002,22476704,22526962,22918507,22948784,23123242,23464704,23480818,23643944,24136171,24195538,24671698,24747930,25286292,25817382,25979818,26098642,26397792,26599437,27523282,27549628,27760498,28116202,28431809,28553965,28827178,29216253,29314771,29697516,30010858,30649485,31429162,32475045,32491378,32692784,33123965,33241147,33387645,33434482,33834824,33956517,34264758,34428571,34640048,35200042,35613488,35810517,36127637,36779382,38064177,38137507,38486122,38640571,38970054,39071602,39645512,39748758,40065174,40312771,40424425,40616870,40647409,40813027,41289501,41292778,42807571,42925738,43381709,43741042,44329485,44601201,44788138,44956627,45462081,45928085,47284784,47319950,48075667,48153298,48269098,48344264,48509310,48740244,48892147,49310578,50682067,50697202,50877974,51330787,51610910,51743264,51816571,51956188,52657642,53195382,53431171,53808682,54093724,54121525,54387297,55072978,55104845,55113702,55532242,55761778,55839571,55922997,56783940,56957947,57117427,57481258,57650524,58024100,58168042,58211172,58968562,60569536,60923347,61023442,61064517,61139078,61200124,61308653,61365418,61390461,61396171,61868347,61933092,61973870,62527485,62617948,62967571,63073138,63897197,64096042,64663762,64843747,64945830,65611550,65798002,66125814,66695984,66864508,66864571,66906237,67329187,67415601,68140728,68852458,69026069,69275552,69416818,69488827,69628920,69755242,70173597,70256707,70716571,71299533,71506085,71782762,72232618,72255477,72569842,72682820,73393385,73805098,74270848,74316104,74368644,74523571,74977387,75032982,75150442,75753512,76157938,76485427,76658319,76732828,77164138,77435548,77610922,77889477,77934996,78332535,78584587,78733860,78864645,78865765,79506898,82282773,82947293,82952362,83506642,83554704,83605617,83715681,83747068,83839018,83982784,84122288,84281962,85222701,85807302,86018425,86694667,86823922,86942933,87219384,87341540,87583790,87709817,87816298,88072062,88534100,89487453,89577322,89734485,89872565,89907058,90021571,90126802,90309067,90452707,90739771,91155533,91281710,91456171,91526984,91753437,92131437,93196498,93852658,93878467,93999042,94020307,94480632,94637574,94638918,94726642,94728427,94857501,95011171,95434747,95716771,95716784,95816744,96300124,96471538,97402867,98103658,98121807,98383228,98608670,98962765,99217771,99634867,99661525,99949042,...,146762664899406415744017794451428278177088086320740920358608321567818161345742289865316847528916327829233030828876046078863114647457841731512361826055126532261562007147026301077004776436402289952983841461323108953411876681038518469607328096559105592778094364685480062851950353960891528894133300478938947716925997408665507718303154801552103531197014744683258988180682881915708713556417225875434847418440659617256182665486827505366408592901429686532907067287786530046562851060722007266142774815123275465168954321644090338301603099370850672323497940305950332960292768302179580280153671646176709320177995687717574662327025676765465185662059219246081341599464283673560529266759782181158694676292795299005500078914096942719039861025302088328070385306995116803433638782911069485835042837312752890801247935193604625149418253546795648104764030109684609883021678854230939305884411169088968428431547606409900699901328720621080052851860929076121004640673987418193430691991655810449704655353758648694407944494498856617178077727345530456413819514515088018788588026943935155025219820924031025776093401181733715047916960525403114272862308108737814951658468170525788728152609816121059122399526886404297624997219004756968134460527776138397371767005426053511836057077043346199037095923367456864368177984352227896453480428139362257370481584149974582231187470569987616479219192396499247175897409606338346498175774081372897407555595549434179815291312445303982417372763231581883227278518722993481323300916444455094553639030845212597255639052553026451911440604827815794427633621469929526294575560376436667544901413230529963072019501866895046127658565373258351805048726691719631876254526125225813467149623966259057197568968230295624909592850494010277811012909162336965286327878891097204357616978468726893525342735985123112404623288470142248246696100754762855722283774537802347101759611183268234118443275252223891302519587170824194829599084591275095637229720050737313310445938179856502779404695357560483599729747564905427385958162916175873858365178221384283632026339276658216072312914686277920491943810361561154273454014211403925485235736084950526988823018747584594907547079195122370714475722773193933498611883771782023645390826930137929498320158663227243112575764241172217929635447738795613684600228240433950040079637488505233769114575597564593788449257218708969825670766373988353858761788052772714082204935689198317425364598471430308463330772696388179791827296550613945887569116836341664801827725218301009738995915063357577034694109731347604499556507804974907115736925627092309891402674502511303911934138782470031588925796650721708231563139878629057086444917124428662993102561107365801483133432283337468263269139415572791848597380462837394382027391639770786454768001985060609938421014485196362656290711697968308145711648605240623338298714253237281077914101475233980759735465710132729084222280641170336399073102921911553655841800045907534602364748651599529232976248796714769910811782874648223562544221578490931733548636393021932740634749926987651517349777853167348512352572078225242877035164185410596008256327518705241107508393509794754323072974319857382644601581844734926994337957059293243167167447951642046057392313977080759518447995641429172346407323201251218535567358544013787765261068289430426307650786110318308817975369067700432087608362066564364932177469071083833474044562897393124195556599780398995901833993531200473094714235057780255677888156962213635951721961898911017304222002079373694466074113967483066255909675868215962207517896489582282092487143501591726814027173416707097079098955708305756887071314187505943475328039089588509736436185700749120840671018756362066321250277366113071489351738987761662030180800951542899478245089909180039625807100438817046186921382666481668766067575985295101496560774473351476360677639271452042754019397628040093755799512864746126844520368405944938629881857730744831974376126385701672626473739488366769536431009023190652481840519622126750191183316037417797268376038013755943000224394358406828344883235326760139121840325145071221621100396907027355644135259691921164514735507017627765886282079848289887694962271619971188118549155745756724802080012291592772784298743931841248894338250843300572505383376295281497195954056691378835981627888829344648589389347132093482292284267397443256962103040497823192664409568787708362772001288694378294209974045805750999094691515821513253154877982977808431796907843925249694367076097537543834421700506091661323530040634044813932714618607590997776977474161712377650728706365458481335924339420287554202852523642362321689940840398650441477147253561073795126256901168115157688244286168621869165589193285258507482544361503286688289434316512543507238183163860225248734917304779348518052167390057317269621789174414703151227816442385780345123534045133197426541966733496587493677823914361958883920289608040865551514438898}
30573 1621815730585088382547165894839119025624340470070224689083730396009032813203183530954991: {1008447,1191723,1497391,1558203,1680635,2016762,2139130,2566956,2780323,2840127,2994586,3055900,3667080,3755067,3911552,3971890,4125465,4277980,4400496,4428155,4705162,4766268,4852203,4950558,5133576,5313786,5583147,5775273,6111400,6678843,6721660,6875325,7226367,7333680,7726367,7822592,7907011,8065992,8250390,8800416,8825771,9000155,9074241,9232107,9414303,9900468,10800186,10826435,11295730,11976776,12303187,12689727,12991722,13473873,13554876,15086266,15231903,15385835,15581923,16040325,16319967,16501227,17059003,17109680,17786747,18463002,19095625,19248390,19667116,20080186,20302143,20531616,20688451,20820778,20844267,20845235,21453451,22259890,22830207,22914750,23018866,23098068,23371323,23813471,23912223,24376691,24442400,25014282,25173483,25530604,26559403,26682346,26711868,26996476,27198155,27497700,28095880,28231647,28606186,28685980,28769987,28770603,28869082,29330880,29554930,29605471,30310042,30588491,31161802,31286272,31462143,31607865,32531122,32537247,32637786,32997240,33253503,33715056,33790443,34423176,34437035,34684863,34689823,35197056,35221227,35341387,35465916,36293307,37007547,37121895,37175843,37848107,37929438,38390386,38726073,38955004,38969727,39147963,39596688,40865980,41284923,41324442,41374186,41376287,41567411,41640747,42174303,42293530,42301231,43240767,43300060,43517242,43851071,44516860,44546274,44946682,45016287,45275356,45686344,46096571,46864667,47143743,47747356,48368242,48514363,48737067,49039176,49556890,49851706,50151723,50752236,51255371,51397137,51960072,52800063,52998344,53115322,53420232,55052668,55169073,55386731,57729183,57830267,58161503,58358986,58455081,58607403,58638298,59105980,59468268,59623137,60097761,60430330,60616108,60925305,61939167,62052523,63242482,64388607,64679080,64945235,64986992,65026591,65611563,66284323,67182207,67617155,68365306,68951347,70505266,70678138,70733027,70927176,70979925,72063155,72229947,72403647,72516396,72530125,72763965,73110366,73420351,73484936,73607002,73965867,74563996,75532651,75711920,76045803,76190803,76316961,76500155,77416365,77614896,77934282,78272435,78986463,79719167,79793073,79920187,80086111,80713023,81140586,81305002,81419356,81853948,82577456,82609467,82670553,83298363,83369980,83500786,83580635,83642667,83752186,83839651,84484991,85175910,85581803,86221887,86274371,86292466,86475786,86594440,87036150,87226207,87252063,87316758,88167752,88452843,88856602,89208316,89636987,89887468,90853525,90854304,91333123,91535163,91708617,91800186,92048127,92515762,92838560,92895130,92899638,92960805,93564796,93926922,94120927,94609707,94691890,94724602,94989427,95066044,95916035,96099226,96144063,96318691,96340636,96794435,96995643,97022362,97418745,97556987,97563823,98417325,98697003,99158192,99188721,99722387,...,220143997349109623616026691677142417265632129481111380537912482351727242018613434797975271293374491743849546243314069118294671971186762597268542739082689798392343010720539451615507164654603434929475762191984663430117815021557777704410992144838658389167141547028220094277925530941337293341199950718408421575388996112998261577454732202328155296795522117024888482271024322873563070334625838813152271127660989425884273998230241258049612889352144529799360600931679795069844276591083010899214162222684913197753431482466135507452404649056276008485246910458925499440439152453269370420230507469265063980266993531576361993490538515148197778493088828869122012399196425510340793900139673271738042014439192948508250118371145414078559791537953132492105577960492675205150458174366604228752564255969129336201871902790406937724127380320193472157146045164526914824532518281346408958826616753633452642647321409614851049851993080931620079277791393614181506961010981127290146037987483715674556983030637973041611916741748284925767116591018295684620729271772632028182882040415902732537829731386046538664140101772600572571875440788104671409293462163106722427487702255788683092228914724181588683599290329606446437495828507135452201690791664207596057650508139080267754085615565019298555643885051185296552266976528341844680220642209043386055722376224961873346781205854981424718828788594748870763846114409507519747263661122059346111333393324151269722936968667955973626059144847372824840917778084490221984951374666682641830458546267818895883458578829539677867160907241723691641450432204894289441863340564655001317352119845794944608029252800342569191487848059887527707573090037579447814381789187838720200724435949388585796353452345443437364389275741015416716519363743505447929491818336645806536425467703090340288014103977684668606934932705213372370044151132144283583425661806703520652639416774902351177664912878335836953779380756236292244398626886912643455844580076105969965668907269784754169107043036340725399594621347358141078937244374263810787547767332076425448039508914987324108469372029416880737915715542341731410181021317105888227853604127425790483234528121376892361320618792683556071713584159790900247917825657673035468086240395206894247480237994840864668863646361758326894453171608193420526900342360650925060119456232757850653671863396346890682673885828063454738506149560982530788142682079159071123307403533797476138046897707145462694996159044582269687740944825920918831353675254512497202741587827451514608493872595036365552041164597021406749334761707462360673605388440638464837104011753766955867901208173705047383388694976082562347344709817943585629667375686642994489653841661048702224700148425006202394903709123359187772896070694256091573041087459656179682152002977590914907631521727794543984436067546952462218567472907860935007448071379855921616871152212850971139603198565199093626333420961755504598609654382867330483762700068861301903547122977399293849464373195072154866217674311972335343816332367736397600322954589532899110952124890481477276024666779751022768528858117337864315552746278115894012384491278057861661262590264692131484609461479786073966902372767102390491506935588939864750751171927463069086088470965621139277671993462143758519610984801876827803351037816020681647891602434145639461476179165477463226963053601550648131412543099846547398266203606625750211066844346089686293334899670598493852750990296800709642071352586670383516832235443320453927582942848366525956333003119060541699111170951224599383864513802323943311276844734373423138730715252387590221040760125060645618648433562458635330606971281258915212992058634382764604654278551123681261006528134543099481875416049169607234027608481642493045271201427314349217367634863770059438710650658225569280382073999722503149101363977942652244841161710027214541016458907178064131029096442060140633699269297119190266780552608917407944822786596117247961564189578552508939710609232550154304646513534785978722760779433190125286774974056126695902564057020633914500336591537610242517324852990140208682760487717606832431650595360541033466202889537881746772103260526441648829423119772434831542443407429956782177823733618635087203120018437389159176448115897761873341507376264950858758075064442922245793931085037068253972441833244016972884084020698140223438426401096164885443154560746734788996614353181562544158001933041567441314961068708626498642037273732269879732316974466712647695361765887874541550614146306315751632550759137491985295060951067220899071927911386496665466211242568566476093059548187722003886509130431331304278785463543482534911260597975662215720880341610692689385351752172736532366429252932803748383789927887761223816542254930032434151474768815260857274745790337873102375957169022777078251085085975904432683761622054726841724663578670517685301067699796139812950100244881240516735871542938325880434412061298327271658347}
30574 1626807674851362396347648890498163460036854127651548316671785990634142880912858358909413: {519469,794534,1161014,1344596,1588964,2077604,2530753,2625494,2689016,3025143,3208695,3259969,3422608,3786836,3819875,3850434,4491879,4583850,4817894,4889440,5006756,5347475,5500620,5867328,5957835,6276614,6355024,6416970,6469604,6600744,6844768,6888769,7057743,7069453,7085048,7149402,7425837,7444196,7611073,7639250,7700364,7970679,8402075,8512333,8905124,9167100,9635156,9778240,10082490,10479679,10754656,11000520,11001542,11733888,12098988,12309476,12375585,12552404,13200624,13882093,14400248,14850702,14970970,15125713,16200279,16896193,16919636,16943595,17322296,17965164,18073168,18942134,19362769,19487583,19538413,20019542,20309204,20332314,20940973,21095654,21387100,21759956,22001636,22629399,24427213,24583895,24617336,25467469,25664520,26100374,26456774,27022993,27069524,27375488,27694503,27792356,27880934,27884653,28872585,29500674,30120279,30440276,30553000,30797424,31161764,31231167,31882964,31913255,32165953,33352376,33389835,33564644,33745595,33865873,34204993,34372125,34528299,34647102,34882369,35119850,35615824,35857475,36663600,36729734,37412269,37521423,37642196,38295906,38360804,39107840,39925969,39975551,40023519,40067802,40092973,40494714,41246550,41295542,41592769,41949524,42143820,42257473,42345734,42909279,43028970,43303623,43382996,43517048,43914193,43996320,44093174,44332395,44338004,44953408,45053924,45069613,45465063,45837014,45897568,46246484,46373551,46714093,46742703,46929408,46961636,47287888,48037847,48272342,48391076,48693755,48796683,48956679,49343396,49495860,50572584,51082475,51634764,51959636,52197284,52413073,52795584,53198874,53703313,53864269,54125075,54828493,55046564,55099256,55309633,55520996,55646075,56232404,56594195,56863618,56894157,57107930,57227713,57585579,57654356,57864769,58432506,58629542,59293933,59395032,59684195,60021716,60085393,60875053,61298970,61986663,62061279,62858324,63440295,64171969,64299319,64950090,64952269,64982756,65275863,65385568,66247930,66482294,66775290,66819411,66868964,67420023,67437133,67669648,67900993,67913034,68209873,68529516,68815835,68857142,69280096,69596269,70400084,71226976,71282833,71621034,72255274,72503953,72552363,73264813,73558764,73568653,73882475,74175469,74335335,74777559,75770135,76128354,76275014,76972244,77146783,77281142,77792173,77940108,78143204,78689869,79291024,79497516,79672983,80130348,80625542,80848850,80922769,81233740,81294818,81626054,81663469,81811393,82579002,82585556,83286673,84962207,85615142,85851476,86069869,86763418,86797969,87482084,87538479,87957447,88658970,89202402,89576276,89913254,90645495,90924162,91856170,93204995,93979969,94569568,94639900,94863723,96099469,96151334,96306596,96538196,96661933,96688528,96942733,97018620,97051691,97480488,97643473,97784294,98028619,98621156,98760913,...,293525329798812831488035588902856556354176172641481840717216643135636322691484579730633695057832655658466061657752092157726229294915683463024723652110253064523124014294052602154009552872804579905967682922646217906823753362077036939214656193118211185556188729370960125703900707921783057788266600957877895433851994817331015436606309603104207062394029489366517976361365763831417427112834451750869694836881319234512365330973655010732817185802859373065814134575573060093125702121444014532285549630246550930337908643288180676603206198741701344646995880611900665920585536604359160560307343292353418640355991375435149324654051353530930371324118438492162683198928567347121058533519564362317389352585590598011000157828193885438079722050604176656140770613990233606867277565822138971670085674625505781602495870387209250298836507093591296209528060219369219766043357708461878611768822338177936856863095212819801399802657441242160105703721858152242009281347974836386861383983311620899409310707517297388815888988997713234356155454691060912827639029030176037577176053887870310050439641848062051552186802363467430095833921050806228545724616217475629903316936341051577456305219632242118244799053772808595249994438009513936268921055552276794743534010852107023672114154086692398074191846734913728736355968704455792906960856278724514740963168299949164462374941139975232958438384792998494351794819212676692996351548162745794815111191098868359630582624890607964834745526463163766454557037445986962646601832888910189107278061690425194511278105106052903822881209655631588855267242939859052589151120752873335089802826461059926144039003733790092255317130746516703610097453383439263752509052250451626934299247932518114395137936460591249819185700988020555622025818324673930572655757782194408715233956937453787050685471970246224809246576940284496493392201509525711444567549075604694203519222366536468236886550504447782605039174341648389659198169182550191274459440101474626620891876359713005558809390715120967199459495129810854771916325832351747716730356442768567264052678553316432144625829372555840983887620723122308546908028422807850970471472169901053977646037495169189815094158390244741428951445546387866997223767543564047290781653860275858996640317326454486225151528482344435859270895477591227369200456480867900080159274977010467538229151195129187576898514437417939651341532747976707717523576105545428164409871378396634850729196942860616926661545392776359583654593101227891775138233672683329603655450436602019477991830126715154069388219462695208999113015609949814231473851254184619782805349005022607823868277564940063177851593301443416463126279757258114172889834248857325986205122214731602966266864566674936526538278831145583697194760925674788764054783279541572909536003970121219876842028970392725312581423395936616291423297210481246676597428506474562155828202950467961519470931420265458168444561282340672798146205843823107311683600091815069204729497303199058465952497593429539821623565749296447125088443156981863467097272786043865481269499853975303034699555706334697024705144156450485754070328370821192016512655037410482215016787019589508646145948639714765289203163689469853988675914118586486334334895903284092114784627954161519036895991282858344692814646402502437071134717088027575530522136578860852615301572220636617635950738135400864175216724133128729864354938142167666948089125794786248391113199560797991803667987062400946189428470115560511355776313924427271903443923797822034608444004158747388932148227934966132511819351736431924415035792979164564184974287003183453628054346833414194158197911416611513774142628375011886950656078179177019472872371401498241681342037512724132642500554732226142978703477975523324060361601903085798956490179818360079251614200877634092373842765332963337532135151970590202993121548946702952721355278542904085508038795256080187511599025729492253689040736811889877259763715461489663948752252771403345252947478976733539072862018046381304963681039244253500382366632074835594536752076027511886000448788716813656689766470653520278243680650290142443242200793814054711288270519383842329029471014035255531772564159696579775389924543239942376237098311491513449604160024583185545568597487863682497788676501686601145010766752590562994391908113382757671963255777658689297178778694264186964584568534794886513924206080995646385328819137575416725544002577388756588419948091611501998189383031643026506309755965955616863593815687850499388734152195075087668843401012183322647060081268089627865429237215181995553954948323424755301457412730916962671848678840575108405705047284724643379881680797300882954294507122147590252513802336230315376488572337243738331178386570517014965088723006573376578868633025087014476366327720450497469834609558697036104334780114634539243578348829406302455632884771560690247068090266394853083933466993174987355647828723917767840579216081731103028877796}
30575 1631814895541557387210091827848933136478039527584424373778685928809978709184722143778615: {1191801,1680745,1741521,1986205,2016894,2352889,2383446,2597005,2994782,3116406,3361270,3696913,3938241,4033524,4278260,4733545,5133912,5560646,5680254,5775651,5989172,6111800,6199417,6258445,6875775,7226841,7334160,7510134,7823104,7943780,8087005,8250930,8555960,8800992,8856310,9131161,9305245,9410324,9414921,9532536,9625455,9704406,9864097,9901116,10267152,10627572,10724103,11131405,11166294,11458875,11550546,12043945,12222800,12600217,13357686,13443320,13750650,14452734,14667360,15050797,15123735,15157009,15386845,15452734,15645184,15690505,15777289,15814022,16131984,16149841,16500780,16502313,17600832,17651542,18000310,18148482,18464214,18828606,19800936,21020701,21149545,21270349,21540169,21600372,21652870,22276053,22456455,22476289,22591460,23815033,23953552,24484273,24606374,25379454,25386505,25664797,25983444,26733875,26947746,27109752,27199945,27244537,27502045,28143193,28413201,29183329,30029313,30172532,30173401,30463806,30498471,30771670,31163846,31625389,31643481,32080650,32508289,32639934,32736157,33002454,33836905,34118006,34187137,34219360,34729249,34740445,35573494,36926004,38050345,38077417,38191250,38496780,38952205,39150561,39334232,39685161,39853705,40160372,40604286,41063232,41376902,41379001,41641556,41688534,41690470,41821401,41955805,42778873,42906902,44251011,44434129,44519780,44729581,45660414,45829500,45853489,46037732,46099597,46196136,46263949,46742646,46867741,47052745,47626942,47824446,47951005,48211849,48753382,48884800,50028564,50096713,50346966,51061208,51258733,51519697,51823993,51970653,52436905,52679775,53023849,53118806,53364692,53423736,53755633,53992952,54228745,54396310,54995400,55094601,55422505,56191760,56317405,56421997,56463294,57212372,57371960,57443859,57539974,57541206,57738164,57808105,57834073,58165321,58661760,58702045,59109860,59210942,60101703,60488845,60620084,60742071,61176982,61679245,61869825,61902817,61943313,62323604,62572544,62924286,63215730,63518601,64543455,64949545,65062244,65074494,65246605,65275572,65700529,65805289,65994480,66139761,66507006,67430112,67580886,67760929,68344861,68755521,68808205,68846352,68874070,69369726,69379646,69401245,69799897,70290505,70394112,70442454,70682774,70931832,72067945,72133681,72408513,72586614,74015094,74243790,74351686,74426473,75027145,75696214,75858876,76780772,77452146,77910008,77939454,78295926,78572905,79193376,79798311,80036809,80386273,81228445,81731960,82569846,82648884,82748372,82752574,83134822,83281494,83586205,83692849,83694193,84348606,84490537,84587060,84602462,85295427,85587421,85653037,85661895,85677889,86280049,86481534,86600120,87034484,87348889,87648759,87702142,87944313,88000105,89033720,89092548,89893364,90032574,90303433,90550712,90923329,91372688,91948455,92193142,93729334,94213561,94287486,94664017,95494712,96215305,96424297,96736484,97028726,97425135,97474134,97563433,97679005,98078352,98601649,99113780,99371895,99703412,99723441,...,440287994698219247232053383354284834531264258962222761075824964703454484037226869595950542586748983487699092486628138236589343942373525194537085478165379596784686021441078903231014329309206869858951524383969326860235630043115555408821984289677316778334283094056440188555851061882674586682399901436816843150777992225996523154909464404656310593591044234049776964542048645747126140669251677626304542255321978851768547996460482516099225778704289059598721201863359590139688553182166021798428324445369826395506862964932271014904809298112552016970493820917850998880878304906538740840461014938530127960533987063152723986981077030296395556986177657738244024798392851020681587800279346543476084028878385897016500236742290828157119583075906264984211155920985350410300916348733208457505128511938258672403743805580813875448254760640386944314292090329053829649065036562692817917653233507266905285294642819229702099703986161863240158555582787228363013922021962254580292075974967431349113966061275946083223833483496569851534233182036591369241458543545264056365764080831805465075659462772093077328280203545201145143750881576209342818586924326213444854975404511577366184457829448363177367198580659212892874991657014270904403381583328415192115301016278160535508171231130038597111287770102370593104533953056683689360441284418086772111444752449923746693562411709962849437657577189497741527692228819015039494527322244118692222666786648302539445873937335911947252118289694745649681835556168980443969902749333365283660917092535637791766917157659079355734321814483447383282900864409788578883726681129310002634704239691589889216058505600685138382975696119775055415146180075158895628763578375677440401448871898777171592706904690886874728778551482030833433038727487010895858983636673291613072850935406180680576028207955369337213869865410426744740088302264288567166851323613407041305278833549804702355329825756671673907558761512472584488797253773825286911689160152211939931337814539569508338214086072681450799189242694716282157874488748527621575095534664152850896079017829974648216938744058833761475831431084683462820362042634211776455707208254851580966469056242753784722641237585367112143427168319581800495835651315346070936172480790413788494960475989681729337727292723516653788906343216386841053800684721301850120238912465515701307343726792693781365347771656126909477012299121965061576285364158318142246614807067594952276093795414290925389992318089164539375481889651841837662707350509024994405483175654903029216987745190072731104082329194042813498669523414924721347210776881276929674208023507533911735802416347410094766777389952165124694689419635887171259334751373285988979307683322097404449400296850012404789807418246718375545792141388512183146082174919312359364304005955181829815263043455589087968872135093904924437134945815721870014896142759711843233742304425701942279206397130398187252666841923511009197219308765734660967525400137722603807094245954798587698928746390144309732435348623944670687632664735472795200645909179065798221904249780962954552049333559502045537057716234675728631105492556231788024768982556115723322525180529384262969218922959572147933804745534204780983013871177879729501502343854926138172176941931242278555343986924287517039221969603753655606702075632041363295783204868291278922952358330954926453926107203101296262825086199693094796532407213251500422133688692179372586669799341196987705501980593601419284142705173340767033664470886640907855165885696733051912666006238121083398222341902449198767729027604647886622553689468746846277461430504775180442081520250121291237296867124917270661213942562517830425984117268765529209308557102247362522013056269086198963750832098339214468055216963284986090542402854628698434735269727540118877421301316451138560764147999445006298202727955885304489682323420054429082032917814356128262058192884120281267398538594238380533561105217834815889645573192234495923128379157105017879421218465100308609293027069571957445521558866380250573549948112253391805128114041267829000673183075220485034649705980280417365520975435213664863301190721082066932405779075763493544206521052883297658846239544869663084886814859913564355647467237270174406240036874778318352896231795523746683014752529901717516150128885844491587862170074136507944883666488033945768168041396280446876852802192329770886309121493469577993228706363125088316003866083134882629922137417252997284074547464539759464633948933425295390723531775749083101228292612631503265101518274983970590121902134441798143855822772993330932422485137132952186119096375444007773018260862662608557570927086965069822521195951324431441760683221385378770703504345473064732858505865607496767579855775522447633084509860064868302949537630521714549491580675746204751914338045554156502170171951808865367523244109453683449327157341035370602135399592279625900200489762481033471743085876651760868824122596654543316694}
30576 1636837439134527824476692236245292851152886435767177254065712945718782738923490414726071: {519503,580583,702719,1038938,1129943,1434863,1589068,1800503,2044103,2322028,2409263,2530919,2689192,3025341,3177928,3260183,3320903,3575169,3867023,4155208,4492173,4533623,4674609,5041905,5061506,5250988,5259719,5347825,5378032,6050286,6417390,6519938,6845216,6949463,7486465,7573672,7639750,7700868,7791983,7972319,8152583,8340969,8520381,8572919,8983758,9167700,9292583,9592103,9635788,9778880,9929725,10013512,10668719,10694950,11001240,11265201,11265719,11444663,11734656,11742743,11762905,11915670,12376395,12553228,12710048,12833940,12939208,13201488,13230143,13284465,13348919,13689536,13764383,13777538,13942319,14060903,14115486,14138906,14170096,14298804,14416463,14556609,14653343,14851674,14888392,15222146,15278500,15400728,15941358,16425863,16749441,16804150,16897319,17024666,17325819,17603543,17779919,17810248,18334200,18484703,19270312,19556480,19715303,20036529,20164980,20625975,20959358,21175703,21509312,21679101,22001040,22003084,22049543,22165919,22572983,23037719,23179101,23443943,23467776,23721033,24197976,24486719,24618952,24751170,25104808,25353719,25526903,26401248,26477313,26909783,27000465,27222723,27696321,27764186,28058663,28239325,28242909,28800496,28918223,29701404,29833103,29941940,30251426,30688943,30973823,32224919,32400558,32479305,32508719,33075719,33792386,33839272,33887190,33924719,34417453,34644592,34884743,35053919,35617319,35930328,36067463,36146336,36292343,36629423,36909561,37470863,37715665,37750943,37884268,38069181,38254583,38725538,38975166,39076826,39928703,40039084,40421619,40618408,40664628,41096303,41484719,41651063,41881946,41928143,42149663,42191308,42315719,42774200,43519912,43586423,44003272,44678557,44797919,44962823,45072719,45237503,45258798,45457103,45695709,46157505,46279463,46745769,47100023,47243833,48120975,48191303,48854426,48959901,49007663,49167790,49234672,49333703,49503681,49984919,50200465,50689103,50934938,51177009,51329040,51337919,51445943,52051945,52200748,52416719,52913548,53062463,53360241,53760719,53921663,54045986,54139048,54189743,54671783,54750976,54832319,55366919,55389006,55584712,55649725,55761868,55769306,55794023,56433719,56593463,56772001,57072263,57231719,57286875,57547165,57603503,57745170,57868823,57921863,58186943,58822319,59001348,59350919,59773223,60142319,60240558,60563663,60774143,60880552,60906429,60931919,61106000,61594848,62065353,62323528,62462334,62532801,62535705,63765928,63826510,64176503,64228583,64331906,64360353,64696943,64852919,64956863,66253463,66512183,66704752,66705865,66779670,67129288,67441919,67491190,67731746,68171257,68409986,68490621,68744250,69056598,69294204,69344903,69601223,69764738,70113969,70239700,71231648,71440413,71440823,71515465,71644583,71714950,71736669,72172705,72204263,72559919,72965903,73130073,73327200,73459468,73573919,73887325,74180783,74231303,74824538,74836919,75042846,75088919,75284392,75520449,75775105,75994463,76496423,76591812,76596719,76721608,76947503,77197823,77697863,77847719,77904505,78215680,78595919,78695543,78844919,79231873,79678209,79739663,79851938,79938143,79951102,80047038,80135604,80185946,80334719,80989428,81327805,81594465,82493100,82591084,83185538,83557873,83635943,83899048,83929823,84287640,84370103,84514946,84691468,84694941,84907343,85638383,85818558,86057940,86309961,86311809,86607246,86765992,86804303,86852783,87034096,87820703,87828386,87992640,88186348,88664790,88676008,88816413,89906816,89986823,90107848,90139226,90561719,90930126,91674028,91765473,91795136,92492968,92747102,93181919,93428186,93485406,93561023,93858816,93923272,93986903,94034183,94386429,94575776,94742423,94823595,95166503,95542919,95975965,96075694,96153503,96342169,96544684,96715919,96782152,97387510,97510703,97593366,97611741,97650719,97913358,98686792,98814719,98991720,99371663,99760509,...,660431992047328870848080075031427251796896388443334141613737447055181726055840304393925813880123475231548638729942207354884015913560287791805628217248069395177029032161618354846521493963810304788427286575953990290353445064673333113232976434515975167501424641084660282833776592824011880023599852155225264726166988338994784732364196606984465890386566351074665446813072968620689211003877516439456813382982968277652821994690723774148838668056433589398081802795039385209532829773249032697642486668054739593260294447398406522357213947168828025455740731376776498321317457359808111260691522407795191940800980594729085980471615545444593335479266486607366037197589276531022381700419019815214126043317578845524750355113436242235679374613859397476316733881478025615451374523099812686257692767907388008605615708371220813172382140960580416471438135493580744473597554844039226876479850260900357927941964228844553149555979242794860237833374180842544520883032943381870438113962451147023670949091913919124835750225244854777301349773054887053862187815317896084548646121247708197613489194158139615992420305317801717715626322364314014227880386489320167282463106767366049276686744172544766050797870988819339312487485521406356605072374992622788172951524417240803262256846695057895666931655153555889656800929585025534040661926627130158167167128674885620040343617564944274156486365784246612291538343228522559241790983366178038334000179972453809168810906003867920878177434542118474522753334253470665954854124000047925491375638803456687650375736488619033601482721725171074924351296614682868325590021693965003952056359537384833824087758401027707574463544179662583122719270112738343443145367563516160602173307848165757389060357036330312093167827223046250149558091230516343788475455009937419609276403109271020864042311933054005820804798115640117110132453396432850750276985420110561957918250324707053532994738635007510861338142268708876733195880660737930367533740228317909897006721809354262507321129109022176198783864042074423236811733122791432362643301996229276344118526744961972325408116088250642213747146627025194230543063951317664683560812382277371449703584364130677083961856378050668215140752479372700743753476973019106404258721185620682742440713984522594006590939085274980683359514824580261580701027081952775180358368698273551961015590189040672048021657484190364215518448682947592364428046237477213369922210601392428414140693121436388084988477133746809063222834477762756494061025763537491608224763482354543825481617785109096656123493791064220248004285122387082020816165321915394511312035261300867603703624521115142150166084928247687042034129453830756889002127059928983468961524983146106674100445275018607184711127370077563318688212082768274719123262378968539046456008932772744722894565183383631953308202640857386655702418723582805022344214139567764850613456638552913418809595695597280879000262885266513795828963148601991451288100206583905710641368932197881548393119585216464598653022935917006031448997103209192800968863768598697332856374671444431828074000339253068305586574352013592946658238834347682037153473834173584983787770794076394453828384439358221900707118301307171474520806766819594252253515782389207258265412896863417833015980386431275558832954405630483410053113448062044943674807302436918384428537496432389680889160804651944394237629299539642194798610819877250633200533038269058880004699011795481558252970890402128926214057760011150550496706329961361782748828545099577868999009357181625097333512853673798151593541406971829933830534203120269416192145757162770663122280375181936855945300687375905991820913843776745638976175903148293813962835653371043783019584403629298445626248147508821702082825444927479135813604281943047652102904591310178316131951974676707841146221999167509447304091933827956734523485130081643623049376721534192393087289326180421901097807891357570800341657826752223834468359788351743884692568735657526819131827697650462913939540604357936168282338299570375860324922168380087707692171061901743501009774612830727551974558970420626048281463152820497294951786081623100398608668613645240316309781579324946488269359317304494627330222289870346533471200855905261609360055312167477529344347693285620024522128794852576274225193328766737381793255111204761917325499732050918652252062094420670315279203288494656329463682240204366989843059544687632474005799124702323944883206125879495926111821196809639196950923400137943086085297663623624651842438918947254897652277412475955885182853201662697215783734159489996398633727705699428279178644563166011659527391293993912836356390630447604733781793926986647162641024832078068156055256518209597099287758798411245151369783663283671449626764790097302454424306445782571824237371013619307127871507068331234753255257927713298051284866164180525173990736011553055903203099388419438850300734643721550207614628814977641303236183894981814975041}
30577 1641875352249722870207942592072107641004927142742485818527333975871678503783256977747908: {30577,1558407,1986335,2353043,2383602,2780687,2902535,3361490,3483042,3635807,3972410,4033788,4369079,4705778,4766892,5194010,5989564,6232812,6563735,6626963,6722540,7393826,7592259,7876482,8067048,8556520,8761823,9075429,9467090,9626085,9779907,10267824,11024579,11121292,11321807,11360508,11459625,11551302,11978344,12044735,12223600,12398834,12425303,12516890,13027343,13475637,13751550,14453682,14668320,15020268,15583967,15646208,15691535,15887560,16042425,16088783,16174010,16501860,16821479,16861523,17111920,17601984,17712620,17873505,18262322,18610490,18645887,18820648,18829842,19065072,19098125,19250910,19408812,19728194,19802232,20534304,20666307,21173229,21208359,21255144,21448206,21541583,21966707,22262810,22277511,22307927,22332588,22833219,22917750,23101092,23772743,23912037,24087890,24445600,24485879,25200434,25206225,25536999,25969967,26562887,26715372,26886640,27434783,27501300,27503855,28145039,28905468,28935959,29334720,29609363,30101594,30247470,30314018,30773690,30905468,31290368,31381010,31439037,31554578,31628044,32263968,32299682,32510423,33001560,33004626,34731527,34993823,35201664,35303084,35346023,35541107,36000620,36296964,36928428,37126755,37427425,37657212,38079923,38418887,38502863,38815043,39601872,41646279,42041402,42299090,42540698,42781679,43080338,43200744,43305740,44552106,44912910,44952578,45182920,45377139,46522883,47355335,47371667,47630066,47907104,48520727,48600837,48636623,48968546,49212748,50048855,50099999,50688579,50758908,50773010,50830785,51329594,51523079,51966888,52739135,53027327,53270483,53467750,53759159,53895492,54190487,54219504,54399890,54489074,54512579,54533087,55004090,55795187,56286386,56377859,56826402,58088307,58366658,58462749,58615239,58738127,60058626,60345064,60346802,60927612,60996942,61543340,62327692,62822919,63059879,63250778,63286962,64161300,65016578,65250935,65279868,65472314,65873843,66004908,66141935,66473363,67131407,67673810,67888197,68236012,68349359,68374274,68438720,69458498,69480890,69702335,69804479,71146988,73281639,73411667,73430003,73751685,73852008,74613683,75732803,75920243,76100690,76154834,76382500,76402407,76993560,77591507,77769887,77904410,78301122,78668464,78844367,79370322,79707410,80042063,80320744,80931347,81068979,81145607,81208572,82126464,82182863,82291367,82753804,82758002,83083509,83283112,83377068,83380940,83642802,83653959,83698343,83911610,84684383,85557746,85813804,86350943,86617755,87354623,87775427,87799625,87958559,88502022,88868258,88877267,89039560,89459162,90360837,90929363,91320828,91345247,91560143,91659000,91706978,91824335,92075464,92199194,92392272,92527898,93485292,93693501,93735482,94105490,95001959,95253884,95648892,95739765,95902010,96331487,96423698,96430643,96497859,97161743,97506764,97769600,98406707,98911319,99634127,...,880575989396438494464106766708569669062528517924445522151649929406908968074453739191901085173497966975398184973256276473178687884747050389074170956330759193569372042882157806462028658618413739717903048767938653720471260086231110817643968579354633556668566188112880377111702123765349173364799802873633686301555984451993046309818928809312621187182088468099553929084097291494252281338503355252609084510643957703537095992920965032198451557408578119197442403726719180279377106364332043596856648890739652791013725929864542029809618596225104033940987641835701997761756609813077481680922029877060255921067974126305447973962154060592791113972355315476488049596785702041363175600558693086952168057756771794033000473484581656314239166151812529968422311841970700820601832697466416915010257023876517344807487611161627750896509521280773888628584180658107659298130073125385635835306467014533810570589285638459404199407972323726480317111165574456726027844043924509160584151949934862698227932122551892166447666966993139703068466364073182738482917087090528112731528161663610930151318925544186154656560407090402290287501763152418685637173848652426889709950809023154732368915658896726354734397161318425785749983314028541808806763166656830384230602032556321071016342462260077194222575540204741186209067906113367378720882568836173544222889504899847493387124823419925698875315154378995483055384457638030078989054644488237384445333573296605078891747874671823894504236579389491299363671112337960887939805498666730567321834185071275583533834315318158711468643628966894766565801728819577157767453362258620005269408479383179778432117011201370276765951392239550110830292360150317791257527156751354880802897743797554343185413809381773749457557102964061666866077454974021791717967273346583226145701870812361361152056415910738674427739730820853489480176604528577134333702647226814082610557667099609404710659651513343347815117523024945168977594507547650573823378320304423879862675629079139016676428172145362901598378485389432564315748977497055243150191069328305701792158035659949296433877488117667522951662862169366925640724085268423552911414416509703161932938112485507569445282475170734224286854336639163600991671302630692141872344961580827576989920951979363458675454585447033307577812686432773682107601369442603700240477824931031402614687453585387562730695543312253818954024598243930123152570728316636284493229614135189904552187590828581850779984636178329078750963779303683675325414701018049988810966351309806058433975490380145462208164658388085626997339046829849442694421553762553859348416047015067823471604832694820189533554779904330249389378839271774342518669502746571977958615366644194808898800593700024809579614836493436751091584282777024366292164349838624718728608011910363659630526086911178175937744270187809848874269891631443740029792285519423686467484608851403884558412794260796374505333683847022018394438617531469321935050800275445207614188491909597175397857492780288619464870697247889341375265329470945590401291818358131596443808499561925909104098667119004091074115432469351457262210985112463576049537965112231446645050361058768525938437845919144295867609491068409561966027742355759459003004687709852276344353883862484557110687973848575034078443939207507311213404151264082726591566409736582557845904716661909852907852214406202592525650172399386189593064814426503000844267377384358745173339598682393975411003961187202838568285410346681534067328941773281815710331771393466103825332012476242166796444683804898397535458055209295773245107378937493692554922861009550360884163040500242582474593734249834541322427885125035660851968234537531058418617114204494725044026112538172397927501664196678428936110433926569972181084805709257396869470539455080237754842602632902277121528295998890012596405455911770608979364646840108858164065835628712256524116385768240562534797077188476761067122210435669631779291146384468991846256758314210035758842436930200617218586054139143914891043117732760501147099896224506783610256228082535658001346366150440970069299411960560834731041950870427329726602381442164133864811558151526987088413042105766595317692479089739326169773629719827128711294934474540348812480073749556636705792463591047493366029505059803435032300257771688983175724340148273015889767332976067891536336082792560893753705604384659541772618242986939155986457412726250176632007732166269765259844274834505994568149094929079518929267897866850590781447063551498166202456585225263006530203036549967941180243804268883596287711645545986661864844970274265904372238192750888015546036521725325217115141854173930139645042391902648862883521366442770757541407008690946129465717011731214993535159711551044895266169019720129736605899075261043429098983161351492409503828676091108313004340343903617730735046488218907366898654314682070741204270799184559251800400979524962066943486171753303521737648245193309086633388}
30578 1646928681647609203894469767588992214770300380479645444126729368293504246602627426826239: {580621,1039006,1161166,1405438,1861537,2077876,2259886,2869726,3178136,3321121,3575403,3601006,4088206,4594477,4644056,4818526,5042235,5061838,5224563,5378384,5958615,6050682,6355856,6407437,6520366,6641806,7058667,7150338,7486955,7734046,7791015,8213197,8310416,8403175,8984346,9067246,9293197,9349218,10083810,10123012,10191217,10481051,10501976,10519438,10695650,10756064,11087437,11090739,11814723,11981857,12100572,12339121,12834780,13039876,13231021,13690432,13898926,13901615,14200635,14654317,14972930,15147344,15279500,15401736,15583966,15944638,16305166,16468067,16681938,17040762,17145838,17326953,17967516,18335400,18544621,18585166,18598251,18775335,18896557,19184206,19271576,19557760,19775137,19859450,20027024,20627325,21337438,21389900,21680523,21701677,22002480,22140775,22530402,22531438,22889326,23469312,23485486,23525810,23831340,24261015,24752790,25106456,25420096,25667880,25878416,26402976,26460286,26568930,26697838,26911597,27379072,27393483,27528766,27555076,27773617,27884638,27915735,28121806,28230972,28244763,28277812,28340192,28597608,28633837,28832926,28876365,29113218,29306686,29320717,29492257,29592291,29703348,29776784,29835121,30444292,30557000,30801456,31032877,31882716,32172309,32851726,33394215,33498882,33608300,33794638,34049332,34376625,34651638,35207086,35559838,35620496,36126157,36131835,36668400,36969406,37800651,37809517,38540624,38631835,38816077,39112960,39430606,39535055,40073058,40329960,40821421,41251950,41918716,42152557,42351406,43018624,43358202,44002080,44006168,44099086,44128855,44331838,45000775,45145966,45152391,45371205,45471027,46075438,46160535,46358202,46887886,46935552,47071515,47331867,47442066,47922097,48249121,48395952,48449523,48973438,49065421,49237904,49502340,49506939,50205217,50209616,50707438,51053806,51503521,52801931,52802496,52954626,53603437,53819566,54000930,54132175,54445446,55392642,55528372,55851277,56117326,56478650,56485818,56810317,57129421,57600992,57836446,57925921,59402808,59666206,59883880,60502852,60620557,61377886,61515935,61947646,62818723,63062103,63448635,63811047,64233121,64449838,64545457,64620507,64801116,64958610,65017438,66151438,66828159,67033777,67094183,67369365,67428867,67584772,67678544,67774380,67849438,68834906,69289184,69349837,69769486,70107838,70280651,70731697,71234638,71445099,71496877,71860656,72134926,72292672,72584686,72872723,73173937,73258846,73452819,73819122,74236621,74690977,74941726,75431330,75501886,75768536,76050157,76138362,76159515,76509166,76929175,76994391,77451076,77909615,77950332,78153652,79857406,79943917,80078168,80201625,80566031,80843238,81236816,81329256,81599835,81733611,82192606,82506135,82969438,83302126,83642017,83763892,83856286,83935921,84299326,84382616,84429579,84631438,85239603,85295015,85548400,85693297,86859121,87039824,87149857,87172846,87549987,88006544,88020337,88933735,89357114,89595838,89925646,90041377,90087939,90145438,90185197,90472621,90475006,90517596,90520203,90914206,91391418,91495413,92315010,92558926,93388211,93491538,94041121,94200046,94487666,94876167,94930443,95032237,95173537,95478125,95878957,96241950,96382606,97524867,97708852,97844557,97919802,98015326,98208471,98335580,98469344,98667406,99007362,99379057,99969838,...,1320863984094657741696160150062854503593792776886668283227474894110363452111680608787851627760246950463097277459884414709768031827120575583611256434496138790354058064323236709693042987927620609576854573151907980580706890129346666226465952869031950335002849282169320565667553185648023760047199704310450529452333976677989569464728393213968931780773132702149330893626145937241378422007755032878913626765965936555305643989381447548297677336112867178796163605590078770419065659546498065395284973336109479186520588894796813044714427894337656050911481462753552996642634914719616222521383044815590383881601961189458171960943231090889186670958532973214732074395178553062044763400838039630428252086635157691049500710226872484471358749227718794952633467762956051230902749046199625372515385535814776017211231416742441626344764281921160832942876270987161488947195109688078453752959700521800715855883928457689106299111958485589720475666748361685089041766065886763740876227924902294047341898183827838249671500450489709554602699546109774107724375630635792169097292242495416395226978388316279231984840610635603435431252644728628028455760772978640334564926213534732098553373488345089532101595741977638678624974971042812713210144749985245576345903048834481606524513693390115791333863310307111779313601859170051068081323853254260316334334257349771240080687235129888548312972731568493224583076686457045118483581966732356076668000359944907618337621812007735841756354869084236949045506668506941331909708248000095850982751277606913375300751472977238067202965443450342149848702593229365736651180043387930007904112719074769667648175516802055415148927088359325166245438540225476686886290735127032321204346615696331514778120714072660624186335654446092500299116182461032687576950910019874839218552806218542041728084623866108011641609596231280234220264906792865701500553970840221123915836500649414107065989477270015021722676284537417753466391761321475860735067480456635819794013443618708525014642258218044352397567728084148846473623466245582864725286603992458552688237053489923944650816232176501284427494293254050388461086127902635329367121624764554742899407168728261354167923712756101336430281504958745401487506953946038212808517442371241365484881427969045188013181878170549961366719029649160523161402054163905550360716737396547103922031180378081344096043314968380728431036897365895184728856092474954426739844421202784856828281386242872776169976954267493618126445668955525512988122051527074983216449526964709087650963235570218193312246987582128440496008570244774164041632330643830789022624070522601735207407249042230284300332169856495374084068258907661513778004254119857966937923049966292213348200890550037214369422254740155126637376424165536549438246524757937078092912017865545489445789130366767263906616405281714773311404837447165610044688428279135529701226913277105826837619191391194561758000525770533027591657926297203982902576200413167811421282737864395763096786239170432929197306045871834012062897994206418385601937727537197394665712749342888863656148000678506136611173148704027185893316477668695364074306947668347169967575541588152788907656768878716443801414236602614342949041613533639188504507031564778414516530825793726835666031960772862551117665908811260966820106226896124089887349614604873836768857074992864779361778321609303888788475258599079284389597221639754501266401066076538117760009398023590963116505941780804257852428115520022301100993412659922723565497657090199155737998018714363250194667025707347596303187082813943659867661068406240538832384291514325541326244560750363873711890601374751811983641827687553491277952351806296587627925671306742087566039168807258596891252496295017643404165650889854958271627208563886095304205809182620356632263903949353415682292443998335018894608183867655913469046970260163287246098753443068384786174578652360843802195615782715141600683315653504447668936719576703487769385137471315053638263655395300925827879081208715872336564676599140751720649844336760175415384342123803487002019549225661455103949117940841252096562926305640994589903572163246200797217337227290480632619563158649892976538718634608989254660444579740693066942401711810523218720110624334955058688695386571240049044257589705152548450386657533474763586510222409523834650999464101837304504124188841340630558406576989312658927364480408733979686119089375264948011598249404647889766412251758991852223642393619278393901846800275886172170595327247249303684877837894509795304554824951911770365706403325394431567468318979992797267455411398856558357289126332023319054782587987825672712781260895209467563587853973294325282049664156136312110513036419194198575517596822490302739567326567342899253529580194604908848612891565143648474742027238614255743014136662469506510515855426596102569732328361050347981472023106111806406198776838877700601469287443100415229257629955282606472367789963629950082}
30579 1651997474230095111404188112402386731041963111155984372443918509980198173191862327165478: {61154,1558509,1741749,2108157,2597345,2780869,3116814,3389829,3697397,3972670,4063549,4304589,4706086,4767204,5163457,5401509,5561374,5805070,6132309,6722980,6966084,7227789,7271614,7592757,7944820,8067576,8738158,9076023,9189229,9411556,9533784,9741941,9780549,9962709,10388020,10725507,11601069,11940749,11979128,12465624,12653765,13127470,13253926,13445080,13476519,13600869,14023827,14684449,14787652,15125715,15184518,15752964,15779157,16043475,16134096,16299845,16862629,17113040,17523646,17981581,18150858,18934180,19099375,19252170,19559814,19800341,20535648,20848389,21968149,22049158,22242584,22459395,22643614,22721016,22919250,23102604,23375949,23818157,23916957,23956688,24089470,24447200,24457749,24797668,24850606,24932389,25022907,25033780,25561143,25718757,26054686,26737375,26951274,27488609,27503100,27877749,28776309,28907364,28937857,29326837,29336640,29789175,30040536,31167934,31292416,31383070,31775120,32006157,32084850,32177566,32348020,32980229,33003720,33642958,33723046,33795603,33797157,33848837,34223840,34333989,34443845,35203968,35228229,35288715,35347265,35425240,35747010,36275201,36524644,36802637,37129185,37220980,37291774,37641296,37659684,38055365,38130144,38196250,38421409,38501820,38505397,38817589,38817624,39456388,39604464,39690429,39853395,40046757,41068608,41293149,41332614,41384429,41826957,42010375,42182709,42346458,42416718,42510288,42561665,42896412,43083166,43249389,43669827,43933414,43960029,44525620,44555022,44615854,44665176,45666438,45835500,45859517,46202184,46873889,47545486,47824074,48175780,48891200,48971758,49277589,50248323,50400868,50412450,50691957,51073998,51265457,51939934,51977457,52170101,52398395,52810629,53125774,53339757,53430744,53773280,54869566,54981589,55002600,55007710,55454109,56290078,56381557,57810936,57871918,58492529,58669440,58756157,59145909,59218726,59835941,60109587,60203188,60494940,60628036,61547380,61810936,61877925,62365949,62580736,62762020,62878074,63109156,63256088,63527109,64423957,64527936,64599364,65020846,65037303,66003120,66009252,66148629,66297469,66497757,67718949,67769837,69113157,69410465,69463054,69537303,69987646,70068397,70331829,70403328,70606168,70692046,71082214,71163099,72001240,72593928,73334069,73460157,73834789,73856856,74253510,74618581,74854850,74934989,75314424,75628565,75761477,76061157,76159846,76580709,76837774,77005726,77630086,78559429,79203744,79431939,80729349,81001395,81668169,82296769,83088963,83292558,84082804,84175989,84480965,84598180,84717975,84728727,85081396,85563358,86160676,86401488,86611480,86754669,87781189,88689437,89104212,89185121,89374049,89499309,89825820,89905156,90365840,90692149,90754278,91351309,92066829,92598709,92921469,93045766,94710670,94743334,95260132,95270309,95814208,96674757,96813845,97041454,97201674,97273246,97437915,97526157,97583269,97692065,97937092,98425496,99227157,...,1981295976141986612544240225094281755390689165330002424841212341165545178167520913181777441640370425694645916189826622064652047740680863375416884651744208185531087096484855064539564481891430914365281859727861970871060335194019999339698929303547925502504273923253980848501329778472035640070799556465675794178500965016984354197092589820953397671159699053223996340439218905862067633011632549318370440148948904832958465984072171322446516004169300768194245408385118155628598489319747098092927460004164218779780883342195219567071641841506484076367222194130329494963952372079424333782074567223385575822402941784187257941414846636333780006437799459822098111592767829593067145101257059445642378129952736536574251065340308726707038123841578192428950201644434076846354123569299438058773078303722164025816847125113662439517146422881741249414314406480742233420792664532117680629439550782701073783825892686533659448667937728384580713500122542527633562649098830145611314341887353441071012847275741757374507250675734564331904049319164661161586563445953688253645938363743124592840467582474418847977260915953405153146878967092942042683641159467960501847389320302098147830060232517634298152393612966458017937462456564219069815217124977868364518854573251722409786770540085173687000794965460667668970402788755076602121985779881390474501501386024656860121030852694832822469459097352739836874615029685567677725372950098534115002000539917361427506432718011603762634532303626355423568260002760411997864562372000143776474126916410370062951127209465857100804448165175513224773053889844048604976770065081895011856169078612154501472263275203083122723390632538987749368157810338215030329436102690548481806519923544497272167181071108990936279503481669138750448674273691549031365426365029812258827829209327813062592126935799162017462414394346920351330397360189298552250830956260331685873754750974121160598984215905022532584014426806126630199587641982213791102601220684953729691020165428062787521963387327066528596351592126223269710435199368374297087929905988687829032355580234885916976224348264751926641241439881075582691629191853952994050682437146832114349110753092392031251885569134152004645422257438118102231260430919057319212776163556862048227322141953567782019772817255824942050078544473740784742103081245858325541075106094820655883046770567122016144064972452571092646555346048842777093284138712431640109766631804177285242422079364309164254965431401240427189668503433288269482183077290612474824674290447063631476444853355327289968370481373192660744012855367161246062448495965746183533936105783902602811110873563345426450498254784743061126102388361492270667006381179786950406884574949438320022301335825055821554133382110232689956064636248304824157369787136905617139368026798318234168683695550150895859924607922572159967107256170748415067032642418703294551840369915658740256428787086791842637000788655799541387486889445805974353864300619751717131924106796593644645179358755649393795959068807751018094346991309627578402906591305796091998569124014333295484222001017759204916759723056040778839974716503043046111460421502520754951363312382229183361485153318074665702121354903921514423562420300458782756760547347167621774796238690590253499047941159293826676498863216891450230159340344186134831024421907310755153285612489297169042667482413955833182712887898618926584395832459631751899601599114807176640014097035386444674758912671206386778642173280033451651490118989884085348246485635298733606997028071544875292000538561021394454780624220915489801491602609360808248576437271488311989366841125545810567835902062127717975462741531330236916928527709444881441888506960113131349058753210887895336878744442526465106248476334782437407440812845829142956308713773930534948395855924030123523438665997502528341912275801483870203570455390244930869148130164602577179261867978541265703293423674072712401024973480256671503405079365055231654077706206972580457395483092951388741818621813073808504847014898711127580974766505140263123076513185705230503029323838492182655923676911261878144844389458461491884855358244869301195826005840935720948929344737974839464808077951913483881990666869611039600413602567715784828080165936502432588033043079856860073566386384557728822675579986300212145379765333614285751976499196152755956756186283262010945837609865483968988391046720613100969529178634062897422017397374106971834649618377638487778335463590428917590852770200413829258255892990870873955527316756841764692956832237427867655548559604988091647351202478469989195901183117098284837535933689498034978582173881981738509069171891342814201345381780959941487923074496234204468165769554628791297863276395233735454109350989851014348880294370291907363272919337347715472712113040857921383614521204993704259765773783139894153854598492541575521972208034659167709609298165258316550902203931164650622843886444932923909708551684945444925123}
30580 1657081777040955841922879410674678762425755924391703475789292466696852077853964388238344: {91731,702811,1161242,1252099,2078012,2166139,2322332,2531251,2713699,2810876,3442771,3723074,3988819,4155752,4519772,4534219,4675221,5739452,5804299,5959005,6356272,6642242,7059129,7070851,7150806,7202012,7251499,7793011,8176412,8342061,8403725,8707605,9188954,9288112,9413659,9637052,9931025,10084470,10123676,10449126,10481737,10756768,10907421,11565451,11764445,11917230,12101364,12637459,12711712,12814874,12985025,13040732,13107237,13283612,13350691,13884859,14062771,14117334,14300676,14773699,14973910,15306139,15468092,15582030,15660739,16426394,16620832,16806350,17076259,17968692,18134492,18484565,18586394,18698436,19462261,19542331,19691205,19717939,19880889,20167620,20246024,20382434,20945179,20962102,21003952,21038876,21391300,21512128,22168891,22174874,22181478,22692259,22776777,23629446,23667725,23963714,24201144,24432139,24605731,24678242,24952699,25472611,25645771,25669560,26079752,26285469,26462042,27028459,27226287,27380864,27797852,27803230,28062451,28401270,28878255,29308634,29339721,29945860,29951371,30294688,30559000,30803472,30978019,30997085,31167932,31292225,31889276,32342851,32610332,32936134,33073737,33363876,33872779,33965421,34081524,34291676,34378875,34653906,34720219,35058691,35734771,35935032,36134205,36670800,37089242,37170332,37196502,37275909,37419931,37550670,37588051,37793114,38368412,38543152,39082029,39115520,39550274,39718900,40054048,40101211,40426911,40435025,41254650,41601331,41767651,42266179,42674876,42779800,43361046,43403354,44004960,44281550,45060804,45062876,45078931,45243739,45573139,45655805,45778652,46395379,46526225,46751901,46887859,46938624,46970972,47051620,47074605,47662680,48127275,48266349,48522030,49320485,49340539,49505580,49666339,50212912,50464437,50584569,50840192,51335760,51453091,51756832,52805952,52920572,53137860,53395676,53620515,53823194,53875531,54084569,54758144,54786966,55057532,55110152,55321219,55349077,55547234,55657025,55769276,55801819,55831470,55937661,56243612,56441611,56461944,56489526,56555624,56680384,57195216,57267674,57294375,57665852,57752730,58195099,58226436,58613372,58641434,58830571,58984514,59184582,59306419,59406696,59464891,59553568,59670242,60219725,60887899,60888584,61114000,61602912,61780397,61998921,62065754,63001085,63519687,63625077,63765432,64341811,64344618,64624749,64966051,65703452,65900121,66366379,66788430,66832533,66923781,66997764,67216600,67589276,67606219,68069971,68098664,68499657,68753250,69303276,70209161,70414172,71119676,71240992,71318229,71451019,71736111,72214579,72252314,72263670,73336800,73457637,73584451,73938812,74240309,74342971,74948491,75253985,75601302,75618675,75619034,75785045,76005379,76607731,76610997,76934225,77081248,77208931,77263670,77509099,77632154,77808979,77909901,78225920,78452525,78706891,78856291,78861212,78886445,79070110,79688661,79751179,80146116,80659920,80749205,80940331,81642842,81829171,81977059,82304349,82503900,82511565,82715419,83746099,83837432,84305114,84435117,84702812,86037248,86122309,86716404,86807877,88004160,88012336,88198172,88257710,88663676,88828089,88846579,90000019,90001550,90291932,90304782,90742410,90942054,92150299,92150876,92321070,92716404,93775772,93871104,94143030,94317111,94663734,94884132,95844194,96498242,96791904,96899046,96964291,97531269,97946876,98130842,98475808,98503939,98922331,99004680,99013878,99479179,99896059,...,2641727968189315483392320300125709007187585553773336566454949788220726904223361217575703255520493900926194554919768829419536063654241151167222512868992277580708116128646473419386085975855241219153709146303815961161413780258693332452931905738063900670005698564338641131335106371296047520094399408620901058904667953355979138929456786427937863561546265404298661787252291874482756844015510065757827253531931873110611287978762895096595354672225734357592327211180157540838131319092996130790569946672218958373041177789593626089428855788675312101822962925507105993285269829439232445042766089631180767763203922378916343921886462181778373341917065946429464148790357106124089526801676079260856504173270315382099001420453744968942717498455437589905266935525912102461805498092399250745030771071629552034422462833484883252689528563842321665885752541974322977894390219376156907505919401043601431711767856915378212598223916971179440951333496723370178083532131773527481752455849804588094683796367655676499343000900979419109205399092219548215448751261271584338194584484990832790453956776632558463969681221271206870862505289457256056911521545957280669129852427069464197106746976690179064203191483955277357249949942085625426420289499970491152691806097668963213049027386780231582667726620614223558627203718340102136162647706508520632668668514699542480161374470259777096625945463136986449166153372914090236967163933464712153336000719889815236675243624015471683512709738168473898091013337013882663819416496000191701965502555213826750601502945954476134405930886900684299697405186458731473302360086775860015808225438149539335296351033604110830297854176718650332490877080450953373772581470254064642408693231392663029556241428145321248372671308892185000598232364922065375153901820039749678437105612437084083456169247732216023283219192462560468440529813585731403001107941680442247831673001298828214131978954540030043445352569074835506932783522642951721470134960913271639588026887237417050029284516436088704795135456168297692947246932491165729450573207984917105376474106979847889301632464353002568854988586508100776922172255805270658734243249529109485798814337456522708335847425512202672860563009917490802975013907892076425617034884742482730969762855938090376026363756341099922733438059298321046322804108327811100721433474793094207844062360756162688192086629936761456862073794731790369457712184949908853479688842405569713656562772485745552339953908534987236252891337911051025976244103054149966432899053929418175301926471140436386624493975164256880992017140489548328083264661287661578045248141045203470414814498084460568600664339712990748168136517815323027556008508239715933875846099932584426696401781100074428738844509480310253274752848331073098876493049515874156185824035731090978891578260733534527813232810563429546622809674894331220089376856558271059402453826554211653675238382782389123516001051541066055183315852594407965805152400826335622842565475728791526193572478340865858394612091743668024125795988412836771203875455074394789331425498685777727312296001357012273222346297408054371786632955337390728148613895336694339935151083176305577815313537757432887602828473205228685898083227067278377009014063129556829033061651587453671332063921545725102235331817622521933640212453792248179774699229209747673537714149985729558723556643218607777576950517198158568779194443279509002532802132153076235520018796047181926233011883561608515704856231040044602201986825319845447130995314180398311475996037428726500389334051414695192606374165627887319735322136812481077664768583028651082652489121500727747423781202749503623967283655375106982555904703612593175255851342613484175132078337614517193782504992590035286808331301779709916543254417127772190608411618365240713264527807898706831364584887996670037789216367735311826938093940520326574492197506886136769572349157304721687604391231565430283201366631307008895337873439153406975538770274942630107276527310790601851655758162417431744673129353198281503441299688673520350830768684247606974004039098451322910207898235881682504193125852611281989179807144326492401594434674454580961265239126317299785953077437269217978509320889159481386133884803423621046437440221248669910117377390773142480098088515179410305096900773315066949527173020444819047669301998928203674609008248377682681261116813153978625317854728960817467959372238178750529896023196498809295779532824503517983704447284787238556787803693600551772344341190654494498607369755675789019590609109649903823540731412806650788863134936637959985594534910822797713116714578252664046638109565175975651345425562521790418935127175707946588650564099328312272624221026072838388397151035193644980605479134653134685798507059160389209817697225783130287296949484054477228511486028273324939013021031710853192205139464656722100695962944046212223612812397553677755401202938574886200830458515259910565212944735579927259900164}
30581 1662181637266260236657419644300424677717807383163732266078037295471253434981820804522015: {122308,1741863,2597515,2902915,3117018,3483498,3513595,3636283,3697639,4216314,4369651,5194690,5561738,5584611,5649715,5713411,6233628,6779658,7174315,7394794,7945340,8127098,8609178,9002515,9412172,9534408,9963363,10220515,10326914,10413799,10726209,10803018,11122748,11513203,11610140,12046315,12264618,12654595,13345543,13445960,13768579,13783431,13932168,14455578,14543228,15126705,15185514,15673689,15889640,16135152,16300915,16604515,17476316,17715271,17791411,17875845,18152046,18378458,18823112,19067568,19222311,19335115,19483882,19561098,19925418,20362843,20471539,20776040,21176001,21451014,22460865,22668115,22819783,23202138,23373045,23400403,23881498,23958256,24383083,24489091,24639591,24931248,25209525,25307530,26254940,26298595,26496679,26507852,26739125,26890160,26953038,27201738,27879591,28047654,28148731,28777531,29368898,29575304,30251430,30369036,30573651,30722563,31443153,31505928,31558314,32086950,32268192,32599690,33262311,33272217,33725258,33851059,34226080,34519111,34736083,34747315,35047292,35444169,35945571,35963162,36301716,36805051,37017363,37432325,37839331,37868360,38044723,38198750,38504340,38776939,38959915,39119628,39600682,39693063,39861595,40003171,40762915,41071296,41132359,41696778,41704845,42601905,42787291,42864595,43936298,43962951,44098316,44485168,44918790,45287228,45442032,45838500,46205208,46462915,46528999,46751898,46986631,47636314,47833914,47913376,47960515,48178940,48221383,48894400,48915498,49404201,49486171,49595336,49648625,49701212,49864778,50045814,50067560,50106571,50240083,51122286,51437514,51980859,52109372,52173523,53034283,53277511,53343595,53474750,53766211,53902548,53938579,54197611,54977218,55006200,55633863,55755498,55768039,55794753,55850311,56326005,56328595,56689671,57223315,57552618,57814728,57875714,58653674,58673280,58713715,58760011,58814525,59325411,59578350,59586331,59792851,59839879,60081072,60504499,61622311,61881975,62335868,62370043,62584832,62766140,63550240,64012314,64169700,64355132,64696040,65041569,65105031,65374003,65960458,66007440,66150715,66422325,66744595,67285916,67446092,67591206,67594314,67697674,68447680,68667978,68821915,68887690,69711595,70304515,70407936,70456458,70577430,70694530,70715203,70850480,70864483,71494020,72082315,72550402,72783045,73049288,73266715,73338883,73357753,73605274,74258370,74441191,74441960,74583548,75282592,75319368,75742759,76110730,76260288,76335643,76392500,76428979,76842818,77003640,77010794,77635178,77635248,78391591,78912776,79208928,79380858,79706790,80093514,80734791,82129315,82137216,82180449,82586298,82665228,82768858,83320851,83653914,83710759,83747205,84020750,84365418,84486595,84692916,84734289,84833436,85020576,85123330,85694851,85792824,85901511,86166332,86498778,86629095,87339654,87678151,87866828,87920058,87962151,88017715,88476771,88695259,88776873,88888951,88899595,89051240,89110044,89231708,89330352,89379931,89505363,89536291,90951163,91187731,91332876,91671000,91676551,91719034,92302771,92404368,92423515,93015751,93098631,93747778,95090972,95276563,95335819,95648148,95940583,96351560,96516927,97174651,97782400,97943516,98499811,98555178,98576515,99888643,...,3962591952283973225088480450188563510781378330660004849682424682331090356335041826363554883280740851389291832379653244129304095481361726750833769303488416371062174192969710129079128963782861828730563719455723941742120670388039998679397858607095851005008547846507961697002659556944071280141599112931351588357001930033968708394185179641906795342319398106447992680878437811724135266023265098636740880297897809665916931968144342644893032008338601536388490816770236311257196978639494196185854920008328437559561766684390439134143283683012968152734444388260658989927904744158848667564149134446771151644805883568374515882829693272667560012875598919644196223185535659186134290202514118891284756259905473073148502130680617453414076247683156384857900403288868153692708247138598876117546156607444328051633694250227324879034292845763482498828628812961484466841585329064235361258879101565402147567651785373067318897335875456769161427000245085055267125298197660291222628683774706882142025694551483514749014501351469128663808098638329322323173126891907376507291876727486249185680935164948837695954521831906810306293757934185884085367282318935921003694778640604196295660120465035268596304787225932916035874924913128438139630434249955736729037709146503444819573541080170347374001589930921335337940805577510153204243971559762780949003002772049313720242061705389665644938918194705479673749230059371135355450745900197068230004001079834722855012865436023207525269064607252710847136520005520823995729124744000287552948253832820740125902254418931714201608896330351026449546107779688097209953540130163790023712338157224309002944526550406166245446781265077975498736315620676430060658872205381096963613039847088994544334362142217981872559006963338277500897348547383098062730852730059624517655658418655626125184253871598324034924828788693840702660794720378597104501661912520663371747509501948242321197968431810045065168028853612253260399175283964427582205202441369907459382040330856125575043926774654133057192703184252446539420870398736748594175859811977375658064711160469771833952448696529503853282482879762151165383258383707905988101364874293664228698221506184784062503771138268304009290844514876236204462520861838114638425552327113724096454644283907135564039545634511649884100157088947481569484206162491716651082150212189641311766093541134244032288129944905142185293110692097685554186568277424863280219533263608354570484844158728618328509930862802480854379337006866576538964366154581224949649348580894127262952889706710654579936740962746385321488025710734322492124896991931492367067872211567805205622221747126690852900996509569486122252204776722984541334012762359573900813769149898876640044602671650111643108266764220465379912129272496609648314739574273811234278736053596636468337367391100301791719849215845144319934214512341496830134065284837406589103680739831317480512857574173583685274001577311599082774973778891611948707728601239503434263848213593187289290358717511298787591918137615502036188693982619255156805813182611592183997138248028666590968444002035518409833519446112081557679949433006086092222920843005041509902726624764458366722970306636149331404242709807843028847124840600917565513521094694335243549592477381180506998095882318587653352997726433782900460318680688372269662048843814621510306571224978594338085334964827911666365425775797237853168791664919263503799203198229614353280028194070772889349517825342412773557284346560066903302980237979768170696492971270597467213994056143089750584001077122042788909561248441830979602983205218721616497152874542976623978733682251091621135671804124255435950925483062660473833857055418889762883777013920226262698117506421775790673757488885052930212496952669564874814881625691658285912617427547861069896791711848060247046877331995005056683824551602967740407140910780489861738296260329205154358523735957082531406586847348145424802049946960513343006810158730110463308155412413945160914790966185902777483637243626147617009694029797422255161949533010280526246153026371410461006058647676984365311847353822523756289688778916922983769710716489738602391652011681871441897858689475949678929616155903826967763981333739222079200827205135431569656160331873004865176066086159713720147132772769115457645351159972600424290759530667228571503952998392305511913512372566524021891675219730967937976782093441226201939058357268125794844034794748213943669299236755276975556670927180857835181705540400827658516511785981741747911054633513683529385913664474855735311097119209976183294702404956939978391802366234196569675071867378996069957164347763963477018138343782685628402690763561919882975846148992468408936331539109257582595726552790467470908218701979702028697760588740583814726545838674695430945424226081715842767229042409987408519531547566279788307709196985083151043944416069318335419218596330516633101804407862329301245687772889865847819417103369890889850246}
30582 1667297102234798633082011813404531501950278451237655599616302702665756523384148755825039: {152885,183462,702857,886037,1313177,1405622,1618037,2227157,2322484,2504198,2713877,3442997,4156024,4332278,4595081,4644664,4675527,5062502,5225247,5427398,5442137,5621752,5804681,5865077,6324471,6885542,7312181,7446148,7792035,7973897,7977638,8154197,8311504,8342607,9039544,9068438,9350442,9414281,9474197,9931675,10169487,10850057,11092191,11446937,11478904,11608598,11765215,11918010,12102581,12190647,12697781,12712544,12913767,13284484,13351577,13529717,13903435,13945097,14118258,14141702,14301612,14404024,14419337,14502998,14512675,14774681,15490371,15586022,15720857,16204527,16352824,16470223,16684122,16807450,17077397,17136281,17415210,17783477,17959817,18179035,18377908,18396927,18576224,18827318,19274104,19777781,19862050,20168940,20247352,20898252,20946581,20963474,21179957,21471497,21513536,21683367,21814842,21845395,22778271,23130902,23528890,23834460,24202728,24433781,24491657,24665237,25274918,25423424,25532057,25629748,25878391,25970050,26081464,26214474,26567224,26701382,27030281,27228069,27260297,27567687,27769718,27892181,28125542,28234668,28236437,28601352,28752281,29095817,29225823,29341647,29547398,29839157,29888127,29947820,29953397,30612278,30936184,31037081,31164060,31321478,32176521,32685557,32818675,32852788,33134815,33241664,33252437,33612700,33931637,34152518,34440281,34722581,34803207,35061077,35822247,35937384,36268984,36636917,36969130,37172788,37396872,37478537,37961295,38924522,39084662,39382410,39435878,39761778,39769781,40103957,40326581,40335240,40429557,40492048,40764868,40802607,41104757,41659637,41890358,41924204,42007904,42071481,42077752,42269081,42324437,42490457,42782600,43024256,43098581,43395919,43809115,44053347,44256857,44337782,44349748,44362956,44972117,45246857,45377145,45384518,45553554,46945781,47258892,47335450,47337471,47927428,48130425,48402288,48864278,48899535,49211462,49356484,49724057,49905398,50587887,50945222,51291542,51339120,51510677,52104281,52159504,52427657,52570938,52643081,52924084,53718281,53932937,53944743,54056918,54452574,54761728,54843797,55122895,55378517,55595704,55606460,55859081,56124902,56605337,56609035,56802540,57243737,57298125,57456281,57756510,58617268,58679442,58993397,59363417,59401023,59521877,59891720,59902742,60223675,60589376,60944777,61118000,61207637,61606944,61890137,61956038,61994170,62126515,62335864,62545167,62584450,63778552,63918127,64346357,64685702,64866677,65136715,65220664,65872268,65904447,66147474,66727752,66888281,67146581,67378185,67611017,67745558,67930842,68163048,68583352,68757750,69048679,69154457,69307812,69440438,69513557,70117382,70127847,70997081,71454471,71469542,71507081,71750871,71870064,72268410,73285781,73341600,73373247,74178484,74340664,74348297,74393004,74551818,74797167,74839862,75004277,75068721,75101340,75176102,75256217,75586228,76061081,76683429,76736824,77086304,77156271,77514677,77564681,77864537,77919835,78164058,78231040,78263897,78457675,78612917,78861977,79100548,79437800,80108096,80202422,80212125,80443915,80500757,80853822,80870050,82032281,82465827,82509300,82721417,82770581,82974463,83202662,83535302,83633247,83752181,84107395,84307615,84532358,85349752,85559600,86328927,86722092,86806708,86813571,87738547,87980511,88009920,88129781,88201519,88563100,88901237,89367525,90006617,90054581,90121608,90125752,90157862,90487478,90581657,90725237,91059977,91146278,91311610,91557304,91728281,92204681,92790758,93052450,93229435,93503802,93775718,93877248,93941944,94103240,94149210,94574681,95325360,95490625,95705177,96018471,96254550,96456281,96532698,97044060,97672457,97859081,98640970,98681078,98940687,99011160,99254681,99332678,99486581,99903497,...,5943887928425959837632720675282845266172067495990007274523637023496635534502562739545332324921111277083937748569479866193956143222042590126250653955232624556593261289454565193618693445674292743095845579183585912613181005582059998019096787910643776507512821769761942545503989335416106920212398669397027382535502895050953062591277769462860193013479097159671989021317656717586202899034897647955111320446846714498875397952216513967339548012507902304582736225155354466885795467959241294278782380012492656339342650026585658701214925524519452229101666582390988484891857116238273001346223701670156727467208825352561773824244539909001340019313398379466294334778303488779201435303771178336927134389858209609722753196020926180121114371524734577286850604933302230539062370707898314176319234911166492077450541375340987318551439268645223748242943219442226700262377993596353041888318652348103221351477678059600978346003813185153742140500367627582900687947296490436833943025662060323213038541827225272123521752027203692995712147957493983484759690337861064760937815091229373778521402747423256543931782747860215459440636901278826128050923478403881505542167960906294443490180697552902894457180838899374053812387369692657209445651374933605093556563719755167229360311620255521061002384896382003006911208366265229806365957339644171423504504158073970580363092558084498467408377292058219510623845089056703033176118850295602345006001619752084282519298154034811287903596910879066270704780008281235993593687116000431329422380749231110188853381628397571302413344495526539674319161669532145814930310195245685035568507235836463504416789825609249368170171897616963248104473431014645090988308308071645445419559770633491816501543213326972808838510445007416251346022821074647094096279095089436776483487627983439187776380807397486052387243183040761053991192080567895656752492868780995057621264252922363481796952647715067597752043280418379890598762925946641373307803662054861189073060496284188362565890161981199585789054776378669809131305598105122891263789717966063487097066740704657750928673044794255779923724319643226748074887575561858982152047311440496343047332259277176093755656707402456013936266772314354306693781292757171957638328490670586144681966425860703346059318451767474826150235633421222354226309243737574976623225318284461967649140311701366048432194917357713277939666038146528331279852416137294920329299895412531855727266238092927492764896294203721281569005510299864808446549231871837424474022871341190894429334560065981869905111444119577982232038566101483738187345487897238550601808317351707808433332620690036279351494764354229183378307165084476812001019143539360851220653724848314960066904007475167464662400146330698069868193908744914472472109361410716851418104080394954702506051086650452687579773823767716479901321768512245245201097927256109883655521109746976220769286361260375527911002365967398624162460668337417923061592901859255151395772320389780933935538076266948181387877206423253054283040973928882735208719773917388275995707372042999886452666003053277614750279169168122336519924149509129138334381264507562264854089937146687550084455459954223997106364064711764543270687260901376348270281642041502865324388716071770760497143823477881480029496589650674350690478021032558404493073265721932265459856837467891507128002447241867499548138663695856779753187497378895255698804797344421529920042291106159334024276738013619160335926519840100354954470356969652256044739456905896200820991084214634625876001615683064183364341872662746469404474807828082424745729311814464935968100523376637431703507706186383153926388224593990710750785583128334644325665520880339394047176259632663686010636233327579395318745429004347312222322438537487428868926141321791604845187567772090370570315997992507585025736827404451610610711366170734792607444390493807731537785603935623797109880271022218137203074920440770014510215238095165694962233118620917741372186449278854166225455865439221425514541044696133382742924299515420789369229539557115691509087971515476547967771030733785634434533168375384475654566074734607903587478017522807162846788034213924518394424233855740451645972000608833118801240807703147354484240497809507297764099129239570580220699159153673186468026739958900636436139296000842857255929497588458267870268558849786032837512829596451906965173140161839302908587535902188692266052192122320915503948855132915463335006390771286752772558310601241487774767678972612621866581950270525294078870496712283602966645678814964274942053607435409967587703549351294854512607801068494104935746521645945215527207515674028442604036145342879824463769223488702613404497308663886373893589829185701206362328052969553043046640883110875722089818758012043146418136339122573764150843563614981112779297321349419682461563795477624726565916624103977503128827894495774949652706611793493951868531659334798771729125655054836334775369}
30583 1672428219418512048518956115974710011983312884621503208429467624671198933497525035801643: {244616,275193,2108433,2903105,3483726,3636521,3756297,4064081,4369937,4919033,5164133,5195030,5805830,6234036,6385577,6498417,6752213,6966996,7027190,7272566,7395278,7593753,7909601,8141097,8432628,8739302,9307685,10044041,10328313,10389380,11123476,11169222,11299430,11426822,11966457,12307217,12467256,12603521,13559316,13602657,14025663,14308721,14348630,14440217,14789588,15890680,16254196,16271957,16605605,16864841,17218356,17412897,17716433,17877015,18005030,18824344,19068816,19202741,19926726,20441030,20653828,20827598,21026213,21177387,21212553,21452418,21606036,21754497,21767177,22245496,22821281,22972385,23026406,23220280,23246321,23379033,24092630,24193637,24529236,25026183,25211175,25309190,26122815,26498417,26691086,26891920,27069161,27251681,27537158,27566862,27864336,28240977,28911156,28941653,29086456,29793075,30181313,30253410,30371028,31314257,31347378,31445211,31735361,31779280,32037185,32270304,32601830,32722263,32744741,33209030,34521377,34696353,34952632,35293335,35430542,35582822,35751690,36304092,36756916,36818033,37434775,37646224,37841813,37912377,38135136,38444622,38670230,38822681,38955075,38967764,39122196,39321711,39850836,40005797,40052073,40668497,40725686,40795313,40943078,41065985,41135057,41552080,41654577,41766821,42015875,42188313,42291017,42352002,42902028,44321097,44921730,45336230,45639566,45918417,46404276,46465985,46746090,46800806,46982217,46989713,47762996,47916512,48646241,48766166,48978182,49279182,49862496,50243381,50419050,50615060,50956085,51228777,52405255,52509880,52597190,52993358,53015704,53478250,53780320,53906076,53942117,54403476,54543881,54988817,55437185,55453695,55759182,55771697,55806233,56095308,56150681,56297462,56388953,57068081,57555062,57658481,58386783,58626993,58737796,59073615,59150608,59153817,59642667,59796773,59909285,60010433,60502860,60508481,60738072,61147302,61445126,61626353,61695605,62835537,62886306,63011856,63116628,64173900,64536384,65048081,65199380,66004913,66155105,66506673,66524622,66544434,67144721,67450516,67702118,68076777,68330331,68452160,69038222,69472166,69494630,69508075,70094584,70719857,70888338,71003175,71505317,71891142,71899001,71926324,72603432,73271585,73296417,73610102,73817193,74034726,74681033,74858097,74864650,75678662,75736720,76089446,76397500,76417833,76937313,77008680,77553878,77919830,78239256,78396737,78856407,78860033,79201364,79201481,79386126,79723190,80006342,80112641,81085377,81525830,81678861,82142592,82199201,82264718,82340335,83393556,83409690,84187353,84246713,85203810,85574582,85729190,86634765,87872596,87925902,87975953,88019163,88196632,88970336,89055041,89837580,89854113,90325157,90574456,90884064,91193717,91677000,92410416,92611001,92723105,92925830,92934057,92991255,93021857,93057998,93442433,93503796,93876675,93973262,94482785,95272628,95635913,95667828,95826752,95921030,95946881,96350681,96357880,96442766,97028553,97223657,97596233,97788800,97830996,98426321,98506277,98808402,98875685,98930897,98972342,99190672,99221211,99297250,99402424,99729556,99895217,...,7925183904567946450176960900377127021562756661320009699364849364662180712670083652727109766561481702778583664759306488258608190962723453501667538606976832742124348385939420258158257927565723657461127438911447883484241340776079997358795717214191702010017095693015923394005319113888142560283198225862703176714003860067937416788370359283813590684638796212895985361756875623448270532046530197273481760595795619331833863936288685289786064016677203072776981633540472622514393957278988392371709840016656875119123533368780878268286567366025936305468888776521317979855809488317697335128298268893542303289611767136749031765659386545335120025751197839288392446371071318372268580405028237782569512519810946146297004261361234906828152495366312769715800806577736307385416494277197752235092313214888656103267388500454649758068585691526964997657257625922968933683170658128470722517758203130804295135303570746134637794671750913538322854000490170110534250596395320582445257367549413764284051389102967029498029002702938257327616197276658644646346253783814753014583753454972498371361870329897675391909043663813620612587515868371768170734564637871842007389557281208392591320240930070537192609574451865832071749849826256876279260868499911473458075418293006889639147082160340694748003179861842670675881611155020306408487943119525561898006005544098627440484123410779331289877836389410959347498460118742270710901491800394136460008002159669445710025730872046415050538129214505421694273040011041647991458249488000575105896507665641480251804508837863428403217792660702052899092215559376194419907080260327580047424676314448618005889053100812332490893562530155950997472631241352860121317744410762193927226079694177989088668724284435963745118013926676555001794697094766196125461705460119249035311316837311252250368507743196648069849657577387681405321589440757194209003323825041326743495019003896484642395936863620090130336057707224506520798350567928855164410404882739814918764080661712251150087853549308266114385406368504893078841740797473497188351719623954751316129422320939543667904897393059007706564965759524302330766516767415811976202729748587328457396443012369568125007542276536608018581689029752472408925041723676229276851104654227448192909288567814271128079091269023299768200314177894963138968412324983433302164300424379282623532187082268488064576259889810284370586221384195371108373136554849726560439066527216709140969688317457236657019861725604961708758674013733153077928732309162449899298697161788254525905779413421309159873481925492770642976051421468644984249793983862984734135744423135610411244443494253381705801993019138972244504409553445969082668025524719147801627538299797753280089205343300223286216533528440930759824258544993219296629479148547622468557472107193272936674734782200603583439698431690288639868429024682993660268130569674813178207361479662634961025715148347167370548003154623198165549947557783223897415457202479006868527696427186374578580717435022597575183836275231004072377387965238510313611626365223184367994276496057333181936888004071036819667038892224163115359898866012172184445841686010083019805453249528916733445940613272298662808485419615686057694249681201835131027042189388670487099184954762361013996191764637175306705995452867565800920637361376744539324097687629243020613142449957188676170669929655823332730851551594475706337583329838527007598406396459228706560056388141545778699035650684825547114568693120133806605960475959536341392985942541194934427988112286179501168002154244085577819122496883661959205966410437443232994305749085953247957467364502183242271343608248510871901850966125320947667714110837779525767554027840452525396235012843551581347514977770105860424993905339129749629763251383316571825234855095722139793583423696120494093754663990010113367649103205935480814281821560979723476592520658410308717047471914165062813173694696290849604099893921026686013620317460220926616310824827890321829581932371805554967274487252295234019388059594844510323899066020561052492306052742820922012117295353968730623694707645047512579377557833845967539421432979477204783304023363742883795717378951899357859232311807653935527962667478444158401654410270863139312320663746009730352132172319427440294265545538230915290702319945200848581519061334457143007905996784611023827024745133048043783350439461935875953564186882452403878116714536251589688069589496427887338598473510553951113341854361715670363411080801655317033023571963483495822109267027367058771827328949711470622194238419952366589404809913879956783604732468393139350143734757992139914328695527926954036276687565371256805381527123839765951692297984936817872663078218515165191453105580934941816437403959404057395521177481167629453091677349390861890848452163431685534458084819974817039063095132559576615418393970166302087888832138636670838437192661033266203608815724658602491375545779731695638834206739781779700492}
30584 1677575036432922646856693663836621952465699183415036479734455663748045726046612051996463: {214039,305770,366924,947143,1405714,1772074,2044639,2626354,2811244,3236074,4454314,4644968,4777039,5008396,5225589,5427754,5502943,5865463,6885994,7792545,8214823,8312048,8395039,8664556,8708745,9190162,9289328,9351054,9474823,10013743,10125004,10450494,10540785,10854796,10884274,10908849,11092917,11243504,11268703,11609362,11730154,11984239,12648942,12986725,13108953,13771084,13904345,14624362,14657239,14892296,15584070,15947794,15955276,16308394,16471301,16623008,16685214,16753833,16949145,17137423,17140233,18019783,18079088,18136876,18486985,18700884,18828562,18948394,19464809,19863350,20317745,20338974,21522945,21700114,21880783,22184382,22404583,22893874,22957808,23217196,23530430,23836020,24205162,24381294,24493303,25395562,25425088,25450649,25817285,25827534,26568968,26703154,27007545,27059434,27806870,27890194,28236516,28283404,28603224,28808048,28838674,29005996,29025350,29498239,29549362,29890089,30583553,30661545,30980742,31172044,31241397,31441714,32178627,32409054,32705648,32940446,33368244,33614900,34154794,34272562,34539609,34830420,35288983,35566954,35919634,36138945,36302239,36358070,36755816,36793854,37152448,37654636,37963785,37985239,38548208,39555562,39724100,40036629,40337880,40494704,41305737,41350293,41796504,41893162,41926948,42161239,42327343,42359914,42942994,43027072,43156783,43366734,43629684,43690790,45380115,45469639,45556542,45946145,46261804,46388741,47021067,47057780,47668920,47932039,48095623,48405456,48709705,48867562,48902745,48983314,49330474,49813545,50215663,50378239,50549836,50846848,51064114,51190039,51259496,51756782,51940100,52162928,52428948,52646743,53134448,53145813,53374233,53402764,53453503,53627535,53775703,54060562,54456138,54520594,55135374,55539436,55784362,56251084,56469336,56472874,56822239,56981863,57202704,57460303,57504562,57666933,58005345,58191634,58451646,58683294,59094796,59678314,59703745,59776254,59895640,59906794,60791239,61088529,61224556,61332761,61414617,61872368,62074162,62328120,62642956,63268825,63528003,64353042,64715239,65371114,65637350,65705576,66269630,66483328,66504874,67202983,67225400,67382595,67863274,68004345,68305036,68459349,68880562,69445162,69518503,69606414,70119135,70122154,70201209,70286743,71644494,71665039,71874768,72537968,73149249,73189639,73273834,73422245,73467273,73918773,73938260,74345576,74793744,74858383,74957074,75628575,75922590,76969639,77172053,77570263,77849044,78169324,78618583,78764820,78871756,78895785,79066783,79252649,79490037,79523556,79539562,79961239,80207914,80217375,80653162,80670480,80859114,80984096,81499225,81529736,81594343,81605214,82209514,82776583,83319274,83638773,83780716,83848408,84015808,84142962,84155504,84313145,84446193,84538162,84648874,84980914,84990037,85565200,86048512,86197162,86332593,86791838,86977121,87314239,87618230,88039639,88106694,88513714,88675564,88699496,88725912,89907905,89944234,90061183,90205039,90348823,90493714,90754290,90769036,90779743,91066663,91107108,91191401,91720953,91782703,92167689,93778039,93891562,94329459,94517784,94670900,94674942,95053303,95194639,95496875,95759263,95854856,96260850,96804576,97083481,97728556,97799070,97866343,98006239,98060729,98422924,98712968,99001705,99262063,99448114,99786933,99810796,99816651,...,11887775856851919675265441350565690532344134991980014549047274046993271069005125479090664649842222554167875497138959732387912286444085180252501307910465249113186522578909130387237386891348585486191691158367171825226362011164119996038193575821287553015025643539523885091007978670832213840424797338794054765071005790101906125182555538925720386026958194319343978042635313435172405798069795295910222640893693428997750795904433027934679096025015804609165472450310708933771590935918482588557564760024985312678685300053171317402429851049038904458203333164781976969783714232476546002692447403340313454934417650705123547648489079818002680038626796758932588669556606977558402870607542356673854268779716419219445506392041852360242228743049469154573701209866604461078124741415796628352638469822332984154901082750681974637102878537290447496485886438884453400524755987192706083776637304696206442702955356119201956692007626370307484281000735255165801375894592980873667886051324120646426077083654450544247043504054407385991424295914987966969519380675722129521875630182458747557042805494846513087863565495720430918881273802557652256101846956807763011084335921812588886980361395105805788914361677798748107624774739385314418891302749867210187113127439510334458720623240511042122004769792764006013822416732530459612731914679288342847009008316147941160726185116168996934816754584116439021247690178113406066352237700591204690012003239504168565038596308069622575807193821758132541409560016562471987187374232000862658844761498462220377706763256795142604826688991053079348638323339064291629860620390491370071137014471672927008833579651218498736340343795233926496208946862029290181976616616143290890839119541266983633003086426653945617677020890014832502692045642149294188192558190178873552966975255966878375552761614794972104774486366081522107982384161135791313504985737561990115242528505844726963593905295430135195504086560836759781197525851893282746615607324109722378146120992568376725131780323962399171578109552757339618262611196210245782527579435932126974194133481409315501857346089588511559847448639286453496149775151123717964304094622880992686094664518554352187511313414804912027872533544628708613387562585514343915276656981341172289363932851721406692118636903534949652300471266842444708452618487475149953246450636568923935298280623402732096864389834715426555879332076293056662559704832274589840658599790825063711454532476185854985529792588407442563138011020599729616893098463743674848948045742682381788858669120131963739810222888239155964464077132202967476374690975794477101203616634703415616866665241380072558702989528708458366756614330168953624002038287078721702441307449696629920133808014950334929324800292661396139736387817489828944944218722821433702836208160789909405012102173300905375159547647535432959802643537024490490402195854512219767311042219493952441538572722520751055822004731934797248324921336674835846123185803718510302791544640779561867871076152533896362775754412846506108566081947857765470417439547834776551991414744085999772905332006106555229500558338336244673039848299018258276668762529015124529708179874293375100168910919908447994212728129423529086541374521802752696540563284083005730648777432143541520994287646955762960058993179301348701380956042065116808986146531443864530919713674935783014256004894483734999096277327391713559506374994757790511397609594688843059840084582212318668048553476027238320671853039680200709908940713939304512089478913811792401641982168429269251752003231366128366728683745325492938808949615656164849491458623628929871936201046753274863407015412372766307852776449187981421501571166256669288651331041760678788094352519265327372021272466655158790637490858008694624444644877074974857737852282643583209690375135544180741140631995985015170051473654808903221221422732341469585214888780987615463075571207871247594219760542044436274406149840881540029020430476190331389924466237241835482744372898557708332450911730878442851029082089392266765485848599030841578738459079114231383018175943030953095935542061467571268869066336750768951309132149469215807174956035045614325693576068427849036788848467711480903291944001217666237602481615406294708968480995619014595528198258479141160441398318307346372936053479917801272872278592001685714511858995176916535740537117699572065675025659192903813930346280323678605817175071804377384532104384244641831007897710265830926670012781542573505545116621202482975549535357945225243733163900541050588157740993424567205933291357629928549884107214870819935175407098702589709025215602136988209871493043291890431054415031348056885208072290685759648927538446977405226808994617327772747787179658371402412724656105939106086093281766221751444179637516024086292836272678245147528301687127229962225558594642698839364923127590955249453131833248207955006257655788991549899305413223586987903737063318669597543458251310109672669550738}
30585 1682737601037565492219097708398591852729793765479669592683038666609038409621683366530418: {458655,489232,550386,2108571,2658111,3514055,3939531,4064347,4216866,4854111,5164471,5714159,5806210,6260495,6681471,6967452,7273042,7512594,7546591,8128162,8141631,8739874,9838066,10328266,10328991,10390060,10830695,11611660,12468072,12656255,12771154,12996834,13030759,13504426,13568495,13785243,13933992,14026581,14054380,14545132,14790556,15055727,15187506,15675741,15819202,16155131,16282194,16326411,16865256,17065711,17213855,17414043,17478604,17595231,18615370,18973413,19944095,20088082,20656626,20778760,21461887,21936543,22246952,22338444,22598860,22671095,22853644,23247847,23376105,23921691,23932914,24462591,24614434,24934512,25027821,25207042,27118632,27205314,27838283,28051326,28242843,28422591,28617442,28697260,28880434,29021495,29579176,29795025,30508461,30600527,31316311,31781360,32161339,32508392,32543914,32550171,33211210,33276573,33729682,34340811,34436712,34825794,35002999,35295645,35354255,35432866,35754030,35859659,36010060,36257495,36307743,36571941,36809879,37190471,37648688,38093343,38137632,38405482,38741301,38965055,39853452,40054731,40589151,40797991,40882060,41307656,41583767,41655196,41710305,41835291,42018625,42052426,42293791,42354774,42425106,42904836,43212072,43258011,43508994,43534354,43538025,44324043,44490992,44852059,45642562,45944770,46052812,46440560,46471113,46492642,46758066,47068295,47162571,48185260,48387274,48613581,49058472,49410669,49655125,49791803,50052366,50422350,50618380,51232191,51408843,52180367,52245630,52311839,52408685,52996834,53350431,53382172,53783840,53879451,54138322,54503362,54537105,55074316,55133724,55190781,55728672,56154367,56481954,57492379,57662263,57822312,57827255,57883306,58172912,58767719,58822225,59333343,59586150,60362626,60506820,60742056,62628514,62694756,62839743,62890422,63187295,63470722,63539871,63558560,64074370,64414491,64540608,64925125,65050101,65052379,65203660,65444526,65489482,65536185,66256943,66418060,66753455,67354619,68334813,69042754,69392706,69424295,69905264,70313855,70586670,70861084,70873799,71165644,71338519,71503380,71510023,72608184,73301343,73367357,73474971,73513832,73636066,73868495,73995711,74869550,75292448,75683626,75776459,75824754,76270272,76530695,76596171,76889244,77340460,77612059,77635173,77645362,77763983,77910150,77935528,78244392,78303695,78635327,78643422,79136951,79701672,80011594,80104146,80357707,81090843,81336994,81451372,81590626,81684207,81780891,81886156,82131970,82270114,82703061,83104160,83309154,83533642,83676543,83721803,83872999,84031750,84376626,84582034,84704004,84709311,85381295,85804056,86256843,86373847,87287451,87677469,88024941,88642194,89060887,89517471,89664381,89843460,89860191,90672460,91279132,91688603,91836834,92422825,92473727,92617147,92808552,92931970,93111243,93492180,93601612,93635663,93964434,93979426,94158091,94483247,95525992,95642191,95833024,96529563,97292482,97311305,97532332,97711655,97956364,98056671,98456025,98558364,98589695,99404445,99724992,99757311,...,17831663785277879512898162025848535798516202487970021823570911070489906603507688218635996974763333831251813245708439598581868429666127770378751961865697873669779783868363695580856080337022878229287536737550757737839543016746179994057290363731931329522538465309285827636511968006248320760637196008191082147606508685152859187773833308388580579040437291479015967063952970152758608697104692943865333961340540143496626193856649541902018644037523706913748208675466063400657386403877723882836347140037477969018027950079756976103644776573558356687304999747172965454675571348714819004038671105010470182401626476057685321472733619727004020057940195138398883004334910466337604305911313535010781403169574628829168259588062778540363343114574203731860551814799906691617187112123694942528957704733499476232351624126022961955654317805935671244728829658326680100787133980789059125664955957044309664054433034178802935038011439555461226421501102882748702063841889471310501829076986180969639115625481675816370565256081611078987136443872481950454279071013583194282813445273688121335564208242269769631795348243580646378321910703836478384152770435211644516626503882718883330470542092658708683371542516698122161437162109077971628336954124800815280669691159265501688080934860766563183007154689146009020733625098795689419097872018932514270513512474221911741089277674253495402225131876174658531871535267170109099528356550886807035018004859256252847557894462104433863710790732637198812114340024843707980781061348001293988267142247693330566560144885192713907240033486579619022957485008596437444790930585737055106705521707509390513250369476827748104510515692850889744313420293043935272964924924214936336258679311900475449504629639980918426515531335022248754038068463223941282288837285268310329450462883950317563329142422192458157161729549122283161973576241703686970257478606342985172863792758767090445390857943145202793256129841255139671796288777839924119923410986164583567219181488852565087697670485943598757367164329136009427393916794315368673791369153898190461291200222113973252786019134382767339771172958929680244224662726685576946456141934321489029141996777831528281266970122207368041808800316943062920081343878271515872914985472011758434045899277582110038177955355302424478450706900263667062678927731212724929869675954853385902947420935104098145296584752073139833818998114439584993839557248411884760987899686237595567181798714278782478294688882611163844707016530899594425339647695615512273422068614023572683288003680197945609715334332358733946696115698304451214562036463691715651805424952055123425299997862070108838054484293062687550134921495253430436003057430618082553661961174544944880200712022425502393987200438992094209604581726234743417416328084232150554254312241184864107518153259951358062739321471303149439703965305536735735603293781768329650966563329240928662307859083781126583733007097902195872487382005012253769184778705577765454187316961169342801806614228800844544163631619269759162849122921786648205626159321752164827987122116128999659357998009159832844250837507504367009559772448527387415003143793522686794562269811440062650253366379862671991319092194135293629812061782704129044810844926124508595973166148215312281491431470433644440088489768952023052071434063097675213479219797165796796379570512403674521384007341725602498644415991087570339259562492136685767096414392033264589760126873318478002072830214040857481007779559520301064863411070908956768134218370717688602462973252643903877628004847049192550093025617988239408213424423484247274237187935443394807904301570129912295110523118559149461779164673781972132252356749385003932976996562641018182141528778897991058031908699982738185956236287013041936666967315612462286606778423965374814535562703316271111710947993977522755077210482213354831832134098512204377822333171481423194613356811806871391329640813066654411609224761322310043530645714285497084886699355862753224116559347836562498676367596317664276543623134088400148228772898546262368107688618671347074527263914546429643903313092201356903303599505126153426963698224203823710762434052568421488540364102641773555183272701567221354937916001826499356403722423109442063452721493428521893292297387718711740662097477461019559404080219876701909308417888002528571767788492765374803610805676549358098512538488789355720895519420485517908725762607706566076798156576366962746511846565398746390005019172313860258317674931803724463324303036917837865599745850811575882236611490136850808899937036444892824826160822306229902763110648053884563537823403205482314807239564937835646581622547022085327812108436028639473391307670466107840213491925991659121680769487557103619086984158908659129139922649332627166269456274036129439254409017367721292452530690844943338337891964048259047384691386432874179697749872311932509386483683487324848958119835380481855605594978004396315187376965164509004326107}
30586 1687915961136421593411257162795664158565005781743606892633335699460611294221089566642867: {428078,611540,733848,825579,886153,1435333,1894286,2714233,2811428,3544148,4089278,4171513,5252708,5622488,5986633,6325299,6472148,7252933,7974949,8709315,8875849,8908628,9289936,9554078,9595273,10016792,10451178,10855508,10909563,11005886,11268891,11567749,11730926,11746633,12192243,12987575,13109811,13531513,13771988,14065573,14514575,14757099,15492399,15585090,16429646,16624096,16726153,16790078,17329112,17417490,17567975,18181415,18380324,18488195,18578656,18702108,18949646,19156731,19466083,19495251,19721893,20027486,20250008,20256639,20900988,21081570,21474373,21709592,21768548,21817698,21848255,22185834,22487008,22537406,22781259,23218724,23460308,23728803,23741833,23968478,24423291,24610693,25297884,25650949,25881779,25973450,26217906,27542168,27808690,27923055,28240249,28248575,28444843,28567055,29248724,29314478,29784592,29957449,30128773,30132123,30984313,30984939,31168140,31895588,31910552,32519749,32616788,32942602,33246016,33370428,33507666,33898290,34218949,34274846,34280466,34896613,35871575,35899371,35910949,36039566,36144199,36158176,36273752,36921651,36922693,36973970,37401768,37595749,37657124,37763833,37810563,37896788,38929618,39726700,40635490,40666043,40677948,40807971,41776249,41942533,42076989,42926163,43045890,43320651,43400228,43761566,44262949,44368764,44809166,45012575,45088249,45253093,45787748,45915616,46434392,46569253,47060860,47389513,47672040,48410324,48762588,48815871,48986606,49816815,50594523,50791124,50850176,50901298,51102575,51634570,51655068,52068995,52238691,53137936,53149299,53406308,53631045,54015090,54118868,54208633,55613740,55780388,56473032,56566808,56613253,57206448,57566015,57608223,57616096,57677348,57889093,58011992,58050700,58207333,58996478,59001673,59098724,59477413,59780178,60231575,61167106,61216249,61323090,61961484,62344088,62482794,62883428,63078639,63272975,63416713,63532161,63637659,64199173,64324603,64357254,64818108,64979833,65263491,65291593,65301531,65411296,65880892,66535753,66727715,66736488,67229800,68193587,68238949,68309588,68463843,68545124,68842895,68917155,69079218,69625993,69660840,69738963,70137099,70577966,71133908,71839268,72277890,72580911,72604478,72716140,73511632,73587708,73600249,74304896,75078549,75115849,75309272,75633525,75927570,75970478,77096416,77225593,78275173,78368445,78723913,78873349,79111124,79448200,79495251,80073258,80215033,80675760,80989408,81207483,81254533,81504575,81755043,81994873,82611474,82700586,83022575,83585243,83593008,83786324,83853896,84322478,84654686,84719828,84722931,85885988,86054144,86107513,86313566,86733468,86824959,87259368,87381580,88576355,88957055,89010553,89379225,90543939,90760230,90939278,91113084,91168933,91892290,92170633,92523608,92598853,92777482,93942771,94042134,94115560,94335633,95206083,95337840,95437093,95864078,96111555,96191246,96675575,96810912,96985849,97419410,97735124,97805490,97966628,98166789,98234223,98525893,98660948,99627090,...,23775551713703839350530882701131381064688269983960029098094548093986542138010250958181329299684445108335750994277919464775824572888170360505002615820930498226373045157818260774474773782697170972383382316734343650452724022328239992076387151642575106030051287079047770182015957341664427680849594677588109530142011580203812250365111077851440772053916388638687956085270626870344811596139590591820445281787386857995501591808866055869358192050031609218330944900621417867543181871836965177115129520049970625357370600106342634804859702098077808916406666329563953939567428464953092005384894806680626909868835301410247095296978159636005360077253593517865177339113213955116805741215084713347708537559432838438891012784083704720484457486098938309147402419733208922156249482831593256705276939644665968309802165501363949274205757074580894992971772877768906801049511974385412167553274609392412885405910712238403913384015252740614968562001470510331602751789185961747335772102648241292852154167308901088494087008108814771982848591829975933939038761351444259043751260364917495114085610989693026175727130991440861837762547605115304512203693913615526022168671843625177773960722790211611577828723355597496215249549478770628837782605499734420374226254879020668917441246481022084244009539585528012027644833465060919225463829358576685694018016632295882321452370232337993869633509168232878042495380356226812132704475401182409380024006479008337130077192616139245151614387643516265082819120033124943974374748464001725317689522996924440755413526513590285209653377982106158697276646678128583259721240780982740142274028943345854017667159302436997472680687590467852992417893724058580363953233232286581781678239082533967266006172853307891235354041780029665005384091284298588376385116380357747105933950511933756751105523229589944209548972732163044215964768322271582627009971475123980230485057011689453927187810590860270391008173121673519562395051703786565493231214648219444756292241985136753450263560647924798343156219105514679236525222392420491565055158871864253948388266962818631003714692179177023119694897278572906992299550302247435928608189245761985372189329037108704375022626829609824055745067089257417226775125171028687830553313962682344578727865703442813384237273807069899304600942533684889416905236974950299906492901273137847870596561246805464193728779669430853111758664152586113325119409664549179681317199581650127422909064952371709971059585176814885126276022041199459233786196927487349697896091485364763577717338240263927479620445776478311928928154264405934952749381951588954202407233269406831233733330482760145117405979057416916733513228660337907248004076574157443404882614899393259840267616029900669858649600585322792279472775634979657889888437445642867405672416321579818810024204346601810750319095295070865919605287074048980980804391709024439534622084438987904883077145445041502111644009463869594496649842673349671692246371607437020605583089281559123735742152305067792725551508825693012217132163895715530940834879095669553103982829488171999545810664012213110459001116676672489346079696598036516553337525058030249059416359748586750200337821839816895988425456258847058173082749043605505393081126568166011461297554864287083041988575293911525920117986358602697402761912084130233617972293062887729061839427349871566028512009788967469998192554654783427119012749989515581022795219189377686119680169164424637336097106952054476641343706079360401419817881427878609024178957827623584803283964336858538503504006462732256733457367490650985877617899231312329698982917247257859743872402093506549726814030824745532615705552898375962843003142332513338577302662083521357576188705038530654744042544933310317581274981716017389248889289754149949715475704565287166419380750271088361482281263991970030340102947309617806442442845464682939170429777561975230926151142415742495188439521084088872548812299681763080058040860952380662779848932474483670965488745797115416664901823461756885702058164178784533530971697198061683157476918158228462766036351886061906191871084122935142537738132673501537902618264298938431614349912070091228651387152136855698073577696935422961806583888002435332475204963230812589417936961991238029191056396516958282320882796636614692745872106959835602545744557184003371429023717990353833071481074235399144131350051318385807627860692560647357211634350143608754769064208768489283662015795420531661853340025563085147011090233242404965951099070715890450487466327801082101176315481986849134411866582715259857099768214429741639870350814197405179418050431204273976419742986086583780862108830062696113770416144581371519297855076893954810453617989234655545495574359316742804825449312211878212172186563532443502888359275032048172585672545356490295056603374254459924451117189285397678729846255181910498906263666496415910012515311577983099798610826447173975807474126637339195086916502620219345339101476}
30587 1693110164778352242978301133691544513576237734944554876081452776249569854936236008729444: {642117,764425,917310,978464,1100772,2841429,3514285,4217142,4430185,4919677,5316222,5714533,6133917,6386413,6565885,6753097,7028110,7729909,7879062,8090185,8128694,8433732,8764693,8829817,9708222,10328942,11135785,11428318,11612420,12429373,12520990,13362942,13569385,13934904,14331117,14546084,15025188,15093182,15162973,15676767,15783493,16094053,16256324,16283262,16508829,16826989,17214985,17479748,17596389,17718757,18995893,19676132,19805533,20656532,20657982,20780120,21278713,21661390,22485133,22975405,23223320,23377635,24099397,24644469,24936144,25185117,25312510,25542308,25674889,25993668,26061518,26126235,26501893,27008852,27136990,27210685,27495817,27570486,27840109,27867984,27921733,28053162,28108760,28424469,29023405,29090264,29325385,29581112,30041229,30111454,30375012,31351482,31622355,31637833,31638404,31739533,32310262,32564388,32652822,32726547,32899789,32988877,33278751,33730512,33806109,34131422,34200589,34427710,34828086,34957208,35190462,35862013,35952717,36284713,36529933,36560905,37230740,37846777,37946826,38960175,39326859,39869485,39888190,40176164,40630093,40770985,40949413,41140453,41313252,41557520,41713035,42379597,42537253,42923774,43873086,43971717,44451613,44493904,44676888,45197720,45342190,45707288,46282153,46495694,46752210,46995877,47071405,47370985,47843382,47865828,48925182,49228868,49413903,49495957,49658375,49795069,49869024,49869853,50055642,50261499,50414084,50760493,50847435,51194389,51412269,51420699,52315273,53347717,53949193,54059349,54237264,54250285,54410628,54551077,55460955,55676566,55779013,56102652,56485686,56845182,57234685,57234884,57394520,57760868,57856909,58042990,58394427,58466173,58826075,59158352,59244013,59590050,59804617,60512905,60953235,61016922,61201054,61634437,62632622,63488905,63562720,64322678,64568835,65016784,65087828,65100342,65642349,65895613,66261289,66422420,66553146,66561853,66757885,67213749,67359037,67459364,67648585,67971877,68681622,68873424,69488989,69517175,69651588,69725485,70005998,70591290,70708510,70865732,71508060,71719318,71908453,72020120,72096685,72514990,72563375,72615486,73143882,73372159,73479909,73619758,73873405,74380942,75297376,76186686,76275264,76351947,76444093,76810964,77451855,77482602,77930110,78604285,78640489,79211893,79706904,80109462,80958157,81022635,81178302,81595982,81764120,82351115,82615312,83167534,83310392,83420610,83670582,84037250,84058453,84104852,84587582,84709548,84850212,85386985,85681405,85711813,85809672,86314117,86424144,86516022,87017988,87068708,87076050,87695509,88462213,88494717,88648086,88917385,88981984,89553997,89670267,89678413,89704118,89799085,90895175,91285124,91750659,91889540,91902889,91984635,92105624,92479813,92881120,92942226,92985284,93454837,93506953,93516132,93564157,93724191,94136590,94302109,94325142,95875477,96249289,96370520,96535881,96774548,97194013,97227162,98116944,98439397,98682613,98821338,98888905,98943949,99310250,99583606,...,35663327570555759025796324051697071597032404975940043647141822140979813207015376437271993949526667662503626491416879197163736859332255540757503923731395747339559567736727391161712160674045756458575073475101515475679086033492359988114580727463862659045076930618571655273023936012496641521274392016382164295213017370305718375547666616777161158080874582958031934127905940305517217394209385887730667922681080286993252387713299083804037288075047413827496417350932126801314772807755447765672694280074955938036055900159513952207289553147116713374609999494345930909351142697429638008077342210020940364803252952115370642945467239454008040115880390276797766008669820932675208611822627070021562806339149257658336519176125557080726686229148407463721103629599813383234374224247389885057915409466998952464703248252045923911308635611871342489457659316653360201574267961578118251329911914088619328108866068357605870076022879110922452843002205765497404127683778942621003658153972361939278231250963351632741130512163222157974272887744963900908558142027166388565626890547376242671128416484539539263590696487161292756643821407672956768305540870423289033253007765437766660941084185317417366743085033396244322874324218155943256673908249601630561339382318531003376161869721533126366014309378292018041467250197591378838195744037865028541027024948443823482178555348506990804450263752349317063743070534340218199056713101773614070036009718512505695115788924208867727421581465274397624228680049687415961562122696002587976534284495386661133120289770385427814480066973159238045914970017192874889581861171474110213411043415018781026500738953655496209021031385701779488626840586087870545929849848429872672517358623800950899009259279961836853031062670044497508076136926447882564577674570536620658900925767900635126658284844384916314323459098244566323947152483407373940514957212685970345727585517534180890781715886290405586512259682510279343592577555679848239846821972329167134438362977705130175395340971887197514734328658272018854787833588630737347582738307796380922582400444227946505572038268765534679542345917859360488449325453371153892912283868642978058283993555663056562533940244414736083617600633886125840162687756543031745829970944023516868091798555164220076355910710604848956901413800527334125357855462425449859739351909706771805894841870208196290593169504146279667637996228879169987679114496823769521975799372475191134363597428557564956589377765222327689414033061799188850679295391231024546844137228047145366576007360395891219430668664717467893392231396608902429124072927383431303610849904110246850599995724140217676108968586125375100269842990506860872006114861236165107323922349089889760401424044851004787974400877984188419209163452469486834832656168464301108508624482369728215036306519902716125478642942606298879407930611073471471206587563536659301933126658481857324615718167562253167466014195804391744974764010024507538369557411155530908374633922338685603613228457601689088327263238539518325698245843573296411252318643504329655974244232257999318715996018319665688501675015008734019119544897054774830006287587045373589124539622880125300506732759725343982638184388270587259624123565408258089621689852249017191946332296430624562982862940867288880176979537904046104142868126195350426958439594331593592759141024807349042768014683451204997288831982175140678519124984273371534192828784066529179520253746636956004145660428081714962015559119040602129726822141817913536268436741435377204925946505287807755256009694098385100186051235976478816426848846968494548474375870886789615808603140259824590221046237118298923558329347563944264504713498770007865953993125282036364283057557795982116063817399965476371912472574026083873333934631224924573213556847930749629071125406632542223421895987955045510154420964426709663664268197024408755644666342962846389226713623613742782659281626133308823218449522644620087061291428570994169773398711725506448233118695673124997352735192635328553087246268176800296457545797092524736215377237342694149054527829092859287806626184402713806607199010252306853927396448407647421524868105136842977080728205283547110366545403134442709875832003652998712807444846218884126905442986857043786584594775437423481324194954922039118808160439753403818616835776005057143535576985530749607221611353098716197025076977578711441791038840971035817451525215413132153596313152733925493023693130797492780010038344627720516635349863607448926648606073835675731199491701623151764473222980273701617799874072889785649652321644612459805526221296107769127075646806410964629614479129875671293163245094044170655624216872057278946782615340932215680426983851983318243361538975114207238173968317817318258279845298665254332538912548072258878508818034735442584905061381689886676675783928096518094769382772865748359395499744623865018772967366974649697916239670760963711211189956008792630374753930329018008652214}
30588 1698320260157534654725150312773019622050625444617450129464493950418415550625612931359204: {336347,856156,886211,947267,1223080,1375965,1467696,1651158,1772306,1801211,2166707,2410211,2870666,2957627,3788572,4232411,4777667,5428466,5622856,5987027,6047411,6325713,7088296,7313627,7974333,8155811,8178556,8343026,8516267,9595907,10493627,10505416,10542165,11244976,11818593,11973266,12104987,12193041,12640811,12650598,12944296,13532411,14422211,14505866,14515525,14562333,14777627,15014411,15493413,15949898,16255427,17142477,17316347,17418630,17751698,17817256,17963411,18182605,18579872,18781485,19108156,19190546,19196027,19781747,20033584,20044413,20320405,20902356,21184211,21711016,21819126,21849685,22011772,22407587,22537782,22639773,22930811,23135498,23461852,23493266,24384486,24424893,24595165,24612347,24670211,25453981,25820665,25883473,25975150,26219622,27063026,27265811,27543976,28070027,28131146,28929947,29029150,29514198,30130811,30187907,30587557,30984798,30986973,31043387,31170180,31328147,31927885,32067587,32492085,32859292,33248192,33452306,33580156,33761065,33881987,34658224,34834980,34898987,35135950,35293787,36362830,36644411,36760648,36976390,37157312,37404216,37430147,37822427,37899292,37968765,38102387,38313462,38605811,38932166,38990502,39092277,39443786,39548005,39945107,39993877,40054972,40334867,40500016,40513278,40705485,41113211,41355729,41801976,42079743,42163140,42277787,42499211,42948746,43273187,43419184,43537096,43635396,43696510,43935347,44371668,44974016,45074812,45167181,45475907,45562518,45585707,45805211,46437448,46538425,46627211,46920616,47027223,47119547,47457606,47483666,47936956,48059869,48211307,48465393,48846582,48979233,49221386,49354211,49680107,50220205,50595768,51197133,51301898,51641565,51763558,51946900,52242129,52435812,52785693,53890547,54533987,55084336,55336667,55617380,55846110,56480498,56497150,56889686,56920239,57096227,57134110,57627707,57946211,58211411,58497448,58628956,59534411,59569184,59832285,59914898,60114947,60257546,60264246,60905027,61536085,61903211,61968626,61969878,62336280,63017605,63421187,63473411,63791176,63821104,64255811,64385661,64568267,65039498,65233576,65296211,65348147,65809629,65885204,66492032,66740856,67015332,67057547,67796580,68013285,68437898,68549692,68560932,68603987,69630947,69743541,69793226,70128315,71012267,71543605,71675267,71743150,71765073,71798742,71821898,72079132,72201085,72288398,72316352,72540227,72547504,72896593,73301507,73387773,73843302,73845386,73947940,73959827,74566307,74803536,74969987,75083463,75191498,75314248,75527666,75621126,75793576,76328627,77531411,77731427,77859236,78729587,79078187,79453400,79972787,80220827,80592421,81270980,81332086,81355896,81359785,81615942,81704867,82050107,83028025,83514849,83552498,83672387,83885066,83966411,84153978,84260147,84324205,84700211,84728529,85267773,85432211,85852326,86091780,86641302,86800456,87064485,87181667,87423827,87523132,88149107,88525898,88582165,88737528,88872587,89065211,89385075,89618332,90025150,90176498,90218267,90506186,90745211,91175627,91525383,91575496,91801581,91831232,92225027,92868784,93138506,93418801,93886547,93948933,94121720,94779026,95067347,95344080,95444147,95491211,96013705,96149267,96380053,96477707,96484017,96820648,97320467,97525176,97631742,97650513,97973212,98020787,99416027,99633630,99694211,99829719,...,53494991355833638538694486077545607395548607463910065470712733211469719810523064655907990924290001493755439737125318795745605288998383311136255885597093621009339351605091086742568241011068634687862610212652273213518629050238539982171871091195793988567615395927857482909535904018744962281911588024573246442819526055458577563321499925165741737121311874437047901191858910458275826091314078831596001884021620430489878581569948625706055932112571120741244626026398190201972159211633171648509041420112433907054083850239270928310934329720675070061914999241518896364026714046144457012116013315031410547204879428173055964418200859181012060173820585415196649013004731399012812917733940605032344209508723886487504778764188335621090029343722611195581655444399720074851561336371084827586873114200498428697054872378068885866962953417807013734186488974980040302361401942367177376994867871132928992163299102536408805114034318666383679264503308648246106191525668413931505487230958542908917346876445027449111695768244833236961409331617445851362837213040749582848440335821064364006692624726809308895386044730741939134965732111509435152458311305634933549879511648156649991411626277976126050114627550094366484311486327233914885010862374402445842009073477796505064242804582299689549021464067438027062200875296387068257293616056797542811540537422665735223267833022760486206675395628523975595614605801510327298585069652660421105054014577768758542673683386313301591132372197911596436343020074531123942343184044003881964801426743079991699680434655578141721720100459738857068872455025789312334372791757211165320116565122528171539751108430483244313531547078552669232940260879131805818894774772644809008776037935701426348513888919942755279546594005066746262114205389671823846866511855804930988351388651850952689987427266577374471485188647366849485920728725111060910772435819028955518591378276301271336172573829435608379768389523765419015388866333519772359770232958493750701657544466557695263093011457830796272101492987408028282181750382946106021374107461694571383873600666341919758358057403148302019313518876789040732673988180056730839368425802964467087425990333494584843800910366622104125426400950829188760244031634814547618744956416035275302137697832746330114533866065907273435352120700791001188036783193638174789609027864560157708842262805312294435889754256219419501456994343318754981518671745235654282963699058712786701545396142836347434884066647833491534121049592698783276018943086846536820266205842070718049864011040593836829146002997076201840088347094913353643686109391075146955416274856165370275899993586210326514163452879188062650404764485760291308009172291854247660985883523634834640602136067276507181961601316976282628813745178704230252248984252696451662762936723554592322554459779854074188217964413909448319111895916610207206809881345304988952899689987722785986923577251343379751199021293706587617462146015036761307554336116733296362561950883508028405419842686402533632490894857809277488547368765359944616878477965256494483961366348386998978073994027479498532752512522513101028679317345582162245009431380568060383686809434320187950760099139588015973957276582405880889436185348112387134432534778373525787919498444645936844474294411300933320265469306856069156214302189293025640437659391497390389138711537211023564152022025176807495933247973262711017778687476410057301289243176099793769280380619955434006218490642122572443023338678560903194590233212726870304402655112153065807388919757931711632884014541147577650279076853964718224640273270452741822711563806330184423712904710389736885331569355677448385337494021345916396757070248155011798930989687923054546424586336693973174095726099948214557868708861039125810000901946837386859820335271896124443606688109948813335132843981932568265231631446640064495496402295536613133466999514444269583840070435420614173988922439199963234827674283966930130591937142856491254660098067588259672349678043509687496029102788952992829630869402265200444686318695638787104323065856014041223581791743639288931709939276604070709910798515378460280891094672611471132287302157705264465621092307925320665549818104701664064813748005479498069211167269328326190358164480285565679876892163156135221986292432383058678212240659630105727925253664007585715303365478296124410832417029648074295537615466368067162686558261456553726177287823119698230394469729100888239535539696196239170015057516941580774953024795411173389972909110753513596799237552434727646709834470410552426699811109334678474478482466918689708289331944161653690613470209616446944421718694813506939744867641066255983436325308085918420173923011398323520640475777974977365042308462671310857260952476725977387419767947997881498808368822108388317763227052103163877357592072534830015013675892144777142154074159298622539093249616935797528159451050461974546874359506141445566816784934013188945562130895493527012978321}
30589 1703546295613898903556451521897125700177859214609717793828235247722889855642727996021735: {1070195,1284234,1528850,1834620,1956928,2201544,2476737,2658459,4305999,4735715,4919999,5682858,6202259,6386831,6753539,7028570,7547579,8142699,8434284,8860370,9135347,9192239,9839354,9868619,10223195,10632444,11326259,11429066,12267834,12514539,12772826,13131770,13506194,14056220,14689259,15459818,15590099,15758124,16180370,16257388,16867464,17529386,17659634,17959899,17987471,18653219,18975897,18997139,19416444,20476907,20657884,21758799,22271570,22316699,22856636,23224840,23406539,23782091,23885195,23924847,24100979,24858746,25041980,25980179,26127945,26573339,26627547,26725884,27138770,27445571,27514715,27869808,28662234,28785819,29092168,29327315,30050376,30186364,30325946,30730619,31320419,31353534,31566986,32165567,32188106,32512648,32566524,32728689,32901947,33017658,33653978,33806673,34429970,34703247,34959496,35192778,35239899,35359931,35437514,36532331,36576729,37991786,38054699,38094959,38787107,38962725,39329433,39352264,39611066,40594539,40632767,40952099,41055539,41074115,41313064,41315964,41560240,41975195,42196719,42299339,42382379,42557426,43171739,43322780,43543725,44271297,44970266,45766991,45950810,46446640,46477197,46755270,47374115,48198794,48539819,49288938,49872288,50068715,50178459,50271299,50370234,50539247,50625020,51084616,51185267,51197747,51349778,51987336,52123036,52252470,52703925,53003786,53351219,54017704,54273980,54421370,54544245,54991634,55140972,55464585,55680218,55735968,55817279,55843466,56106324,56217520,56343515,56848938,57079379,57470193,57669827,58046810,58180528,58398249,58470011,58485753,58650770,58937099,59162224,59165679,59247899,59623919,59921195,60082458,60222908,60750024,60769917,62702964,63244710,63275666,63276808,63329807,63479066,64423119,64620524,64933625,65128776,65305644,65453094,65544765,65799578,65899967,65977754,66319379,66557502,66566219,67461024,67612218,67976339,68262844,68343777,68376347,68401178,68818187,68855420,69493547,69521725,69656172,69914416,70380924,70481807,71186409,71225499,71724026,71905434,72569426,73059866,73121810,73269873,73286195,73832079,74461480,75693554,75893652,75950399,76952847,77645337,77920350,78653718,79738970,79776380,80128559,80352328,80368271,81260186,81541970,81898826,82280906,82356505,82626504,83115040,83426070,83769165,84063971,84718067,84720747,84745725,84759194,85074506,85334529,85687115,85701165,85847548,87746172,87943434,88884467,88903226,88987808,89353776,89872347,90098915,90343019,90345167,90386319,90395440,90396369,90684380,91414576,92434925,92564306,92952939,92954817,92991388,93461039,93504420,93513107,93570299,93991754,94142810,94708019,94741970,95686764,95731656,96468719,97275119,97324045,97559247,97615679,97850364,98457736,98689091,98827806,98991914,99316750,99590138,99738048,99739706,...,71326655141111518051592648103394143194064809951880087294283644281959626414030752874543987899053335325007252982833758394327473718664511081515007847462791494679119135473454782323424321348091512917150146950203030951358172066984719976229161454927725318090153861237143310546047872024993283042548784032764328590426034740611436751095333233554322316161749165916063868255811880611034434788418771775461335845362160573986504775426598167608074576150094827654992834701864253602629545615510895531345388560149911876072111800319027904414579106294233426749219998988691861818702285394859276016154684420041880729606505904230741285890934478908016080231760780553595532017339641865350417223645254140043125612678298515316673038352251114161453372458296814927442207259199626766468748448494779770115830818933997904929406496504091847822617271223742684978915318633306720403148535923156236502659823828177238656217732136715211740152045758221844905686004411530994808255367557885242007316307944723878556462501926703265482261024326444315948545775489927801817116284054332777131253781094752485342256832969079078527181392974322585513287642815345913536611081740846578066506015530875533321882168370634834733486170066792488645748648436311886513347816499203261122678764637062006752323739443066252732028618756584036082934500395182757676391488075730057082054049896887646964357110697013981608900527504698634127486141068680436398113426203547228140072019437025011390231577848417735454843162930548795248457360099374831923124245392005175953068568990773322266240579540770855628960133946318476091829940034385749779163722342948220426822086830037562053001477907310992418042062771403558977253681172175741091859699696859745345034717247601901798018518559923673706062125340088995016152273852895765129155349141073241317801851535801270253316569688769832628646918196489132647894304966814747881029914425371940691455171035068361781563431772580811173024519365020558687185155111359696479693643944658334268876725955410260350790681943774395029468657316544037709575667177261474695165476615592761845164800888455893011144076537531069359084691835718720976898650906742307785824567737285956116567987111326113125067880488829472167235201267772251680325375513086063491659941888047033736183597110328440152711821421209697913802827601054668250715710924850899719478703819413543611789683740416392581186339008292559335275992457758339975358228993647539043951598744950382268727194857115129913178755530444655378828066123598377701358590782462049093688274456094290733152014720791782438861337329434935786784462793217804858248145854766862607221699808220493701199991448280435352217937172250750200539685981013721744012229722472330214647844698179779520802848089702009575948801755968376838418326904938973669665312336928602217017248964739456430072613039805432250957285885212597758815861222146942942413175127073318603866253316963714649231436335124506334932028391608783489949528020049015076739114822311061816749267844677371207226456915203378176654526477079036651396491687146592822504637287008659311948488464515998637431992036639331377003350030017468038239089794109549660012575174090747178249079245760250601013465519450687965276368776541174519248247130816516179243379704498034383892664592861249125965725881734577760353959075808092208285736252390700853916879188663187185518282049614698085536029366902409994577663964350281357038249968546743068385657568133058359040507493273912008291320856163429924031118238081204259453644283635827072536873482870754409851893010575615510512019388196770200372102471952957632853697693936989096948751741773579231617206280519649180442092474236597847116658695127888529009426997540015731907986250564072728566115115591964232127634799930952743824945148052167746667869262449849146427113695861499258142250813265084446843791975910091020308841928853419327328536394048817511289332685925692778453427247227485565318563252266617646436899045289240174122582857141988339546797423451012896466237391346249994705470385270657106174492536353600592915091594185049472430754474685388298109055658185718575613252368805427613214398020504613707854792896815294843049736210273685954161456410567094220733090806268885419751664007305997425614889692437768253810885973714087573169189550874846962648389909844078237616320879506807637233671552010114287071153971061499214443222706197432394050153955157422883582077681942071634903050430826264307192626305467850986047386261594985560020076689255441033270699727214897853297212147671351462398983403246303528946445960547403235599748145779571299304643289224919611052442592215538254151293612821929259228958259751342586326490188088341311248433744114557893565230681864431360853967703966636486723077950228414476347936635634636516559690597330508665077825096144517757017636069470885169810122763379773353351567856193036189538765545731496718790999489247730037545934733949299395832479341521927422422379912017585260749507860658036017304428}
30590 1708788319633566171507355554210637382224998770949639389148223690142316183375103529854959: {397501,672694,947329,1130461,1712312,1772422,1862269,1894534,1926351,2227741,2293275,2446160,2751930,2935392,2957821,3302316,3544612,3602422,4333414,4820422,4959601,5741332,5915254,6047809,6771841,7577144,8216449,8396701,8464822,8524287,8576881,9555334,10015729,10195261,10542855,10554109,10856932,11091841,11245712,11449969,11974054,12094822,12344029,12651426,12701149,13290555,13770781,14176592,14627254,14660161,14759031,15015409,15948666,16311622,16357112,16686052,17032534,17143599,17317501,17570275,18023389,18199681,18401751,18904129,19159239,19191814,19255921,19697655,20134141,20259291,20321735,20987254,21010832,21084330,21185629,21710401,22059889,22489952,22583581,23189727,23454961,23637186,23946532,24209974,24270555,24386082,24671869,25281622,25301196,25455647,25822355,25888592,26294079,26489451,26922481,27064822,27267649,28448567,28570795,28844422,29011732,29031050,29124666,29332609,29555254,29847229,30028822,30189949,30589559,30986826,31302475,31387201,31899796,32510854,32921341,33407355,33940861,34284954,34433231,34632694,34837260,35296189,35503396,35634512,35926822,36148931,36365210,37159744,37288119,37488769,37562970,37732955,38160961,38216312,38381092,38392054,38664349,39563494,40067168,40088826,40337629,40640810,40671367,40708155,40838209,41504641,41804712,42336061,42368422,42502129,42993351,43331389,43422032,43638252,43699370,44023544,44489329,44699039,44815174,45075564,45279546,45479041,45488919,45861622,46270996,46923704,46986532,47030301,47265491,47350479,47941981,48105601,48269149,48282159,48768972,48849786,49190330,49224694,49340422,49526487,49737841,50388721,50480967,50551261,50907962,51200701,51362881,51641330,51644955,51766946,51848989,51950300,52439244,52657729,52789167,53156271,53464669,53625841,53947969,54126052,54153475,54531622,55087952,55367207,55393981,56140054,56262292,56798027,56834161,56987679,56993821,57153409,57472369,57631741,57859894,58058300,58586461,59028396,59416599,60171901,60261622,60375814,60961921,61175114,61435069,61907569,61969596,61973946,62086774,62340360,62536561,62656294,63281275,63477889,63836139,63855770,64135174,64572829,64885021,64984170,65153795,65352769,65718584,66496384,66904612,66907249,67160312,67372189,67455399,67522130,67763974,67842475,68926215,69316448,69379441,69669960,69797974,70132905,70271900,70301761,70308287,70587574,70761949,71221489,72298191,72596221,72725660,73288822,73521296,73933407,73952780,73965121,74314624,74571649,74808432,74860294,75025789,75278635,75479281,75555351,75644854,75798584,75937530,76204774,76626924,76986241,77024667,77211622,77587009,77737021,77864332,77981004,78184554,78378705,78887572,79083889,79096010,79233181,79505679,79890214,79987754,80109944,80669734,80722141,80775655,81000032,81026556,81410970,81632055,82226422,82487451,82711458,83520327,83603952,83765199,83972509,84159486,84266269,84326280,84555574,84998422,85273407,85328555,85438429,85897492,86069275,86150519,86546374,86751601,86838368,87070215,87074192,87188029,87270792,87393020,87870694,87976155,88224647,88348669,88743336,88927261,89948032,90123687,90149624,90224881,90334362,90368701,90512449,90799729,90951814,91125036,91171414,91610422,92874896,93076850,93254422,93841232,93940801,94054446,94239094,94791409,94867065,94913499,94915212,94967332,95215741,95218599,95498269,95873912,95921521,96119738,96203329,96422614,96930786,97693164,97888129,97958466,98028061,98167921,98179641,98442772,98699367,98708422,98966631,99360214,99423421,99701629,99720475,99836253,...,106989982711667277077388972155091214791097214927820130941425466422939439621046129311815981848580002987510879474250637591491210577996766622272511771194187242018678703210182173485136482022137269375725220425304546427037258100477079964343742182391587977135230791855714965819071808037489924563823176049146492885639052110917155126642999850331483474242623748874095802383717820916551652182628157663192003768043240860979757163139897251412111864225142241482489252052796380403944318423266343297018082840224867814108167700478541856621868659441350140123829998483037792728053428092288914024232026630062821094409758856346111928836401718362024120347641170830393298026009462798025625835467881210064688419017447772975009557528376671242180058687445222391163310888799440149703122672742169655173746228400996857394109744756137771733925906835614027468372977949960080604722803884734354753989735742265857984326598205072817610228068637332767358529006617296492212383051336827863010974461917085817834693752890054898223391536489666473922818663234891702725674426081499165696880671642128728013385249453618617790772089461483878269931464223018870304916622611269867099759023296313299982823252555952252100229255100188732968622972654467829770021724748804891684018146955593010128485609164599379098042928134876054124401750592774136514587232113595085623081074845331470446535666045520972413350791257047951191229211603020654597170139305320842210108029155537517085347366772626603182264744395823192872686040149062247884686368088007763929602853486159983399360869311156283443440200919477714137744910051578624668745583514422330640233130245056343079502216860966488627063094157105338465880521758263611637789549545289618017552075871402852697027777839885510559093188010133492524228410779343647693733023711609861976702777303701905379974854533154748942970377294733698971841457450222121821544871638057911037182756552602542672345147658871216759536779047530838030777732667039544719540465916987501403315088933115390526186022915661592544202985974816056564363500765892212042748214923389142767747201332683839516716114806296604038627037753578081465347976360113461678736851605928934174851980666989169687601820733244208250852801901658377520488063269629095237489912832070550604275395665492660229067732131814546870704241401582002376073566387276349579218055729120315417684525610624588871779508512438839002913988686637509963037343490471308565927398117425573403090792285672694869768133295666983068242099185397566552037886173693073640532411684141436099728022081187673658292005994152403680176694189826707287372218782150293910832549712330740551799987172420653028326905758376125300809528971520582616018344583708495321971767047269669281204272134553014363923202633952565257627490357408460504497968505392903325525873447109184645108919559708148376435928827818896638223791833220414413619762690609977905799379975445571973847154502686759502398042587413175234924292030073522615108672233466592725123901767016056810839685372805067264981789715618554977094737530719889233756955930512988967922732696773997956147988054958997065505025045026202057358634691164324490018862761136120767373618868640375901520198279176031947914553164811761778872370696224774268865069556747051575838996889291873688948588822601866640530938613712138312428604378586051280875318782994780778277423074422047128304044050353614991866495946525422035557374952820114602578486352199587538560761239910868012436981284245144886046677357121806389180466425453740608805310224306131614777839515863423265768029082295155300558153707929436449280546540905483645423127612660368847425809420779473770663138711354896770674988042691832793514140496310023597861979375846109092849172673387946348191452199896429115737417722078251620001803893674773719640670543792248887213376219897626670265687963865136530463262893280128990992804591073226266933999028888539167680140870841228347977844878399926469655348567933860261183874285712982509320196135176519344699356087019374992058205577905985659261738804530400889372637391277574208646131712028082447163583487278577863419878553208141419821597030756920561782189345222942264574604315410528931242184615850641331099636209403328129627496010958996138422334538656652380716328960571131359753784326312270443972584864766117356424481319260211455850507328015171430606730956592248821664834059296148591075230932736134325373116522913107452354575646239396460788939458201776479071079392392478340030115033883161549906049590822346779945818221507027193598475104869455293419668940821104853399622218669356948956964933837379416578663888323307381226940419232893888843437389627013879489735282132511966872650616171836840347846022796647041280951555949954730084616925342621714521904953451954774839535895995762997616737644216776635526454104206327754715184145069660030027351784289554284308148318597245078186499233871595056318902100923949093748719012282891133633569868026377891124261790987054025956642}
30591 1714046380849288303847235803920880427031185155687994007348217036959441164548701460307270: {1009041,1498273,2140390,2568468,2658633,2841801,3057700,3669240,3913856,4127895,4403088,4430765,4953474,5316918,5403633,6500121,6630001,7176665,7230633,7548073,7730921,8611998,8830973,8872881,9471430,9839998,11029633,11365716,12404518,12697233,12773662,13507078,13571165,13773089,14057140,14312473,14333001,15095158,16285398,16868568,17720740,17961081,18142233,18270694,18384478,18977139,19678708,19737238,20369513,20446390,20857565,21264888,21940881,22652518,22858132,23827529,23922999,24199981,24467433,24535668,24942193,25029078,25545652,25548801,26263540,27012388,27843761,28112440,28787721,29338369,29378518,29850689,29933165,30919636,31180198,31480881,31516248,31626495,32360740,32514776,33439273,33734928,35058772,35319268,35455779,35919798,35974942,36264665,36314961,36579123,37306438,37870481,37922433,37951794,37994278,38520601,38832888,39874745,40597233,40679161,40953814,41058241,41315768,41400713,41777773,43022801,43174573,43266633,43517598,43546575,43686999,43877009,44332881,44379245,44543140,44633398,45043233,45713272,45769993,46449680,46480239,46813078,46892333,47564182,47770390,47849694,47976365,48201958,48766281,49717492,49801601,49876409,50083960,51285629,51427431,51949041,51960358,52255890,53146678,53255094,53451768,53890233,54277540,54547815,54891142,55029430,55419473,55739616,56344455,57324468,57503761,57571638,57588081,57838745,58184336,58654630,58733165,58765273,59345241,59627833,59728201,60100752,60133239,60372728,60651892,60961215,61461238,62640838,62707068,62780969,63133972,63333961,63552633,63847289,64331134,64376212,64937875,65025296,65133048,65457378,65549055,65803894,66035316,66269981,66323761,67222761,67307956,67367873,67613346,67657565,67919319,68792433,68822701,68859940,69406494,69918992,70096201,70327865,70385556,70479798,70719862,70774841,70875028,72572875,73064662,73153458,73274679,73757729,73785495,73837041,74010633,75953081,75983572,76109398,76189918,76361943,77461995,77574214,77650419,77779361,77925450,78658866,78704528,78880921,79222132,79766489,81189078,81265534,81797433,81904198,82111078,82148230,82626128,82631928,83120480,83296681,83630765,83889673,83950390,84210081,84393438,84598678,84764758,85114852,85723121,86343478,86645560,86789841,87087450,87839875,88542594,89940532,90392433,90563721,90907075,91533982,91762671,91901620,92440975,92893280,92954394,92960919,93130161,93510540,93984441,94748230,95783655,95888081,96202761,96397588,97079638,97330415,97476255,98577876,98609465,99744576,99781373,...,160484974067500915616083458232636822186645822391730196412138199634409159431569193967723972772870004481266319211375956387236815866995149933408767656791280863028018054815273260227704723033205904063587830637956819640555887150715619946515613273587381965702846187783572448728607712056234886845734764073719739328458578166375732689964499775497225211363935623311143703575576731374827478273942236494788005652064861291469635744709845877118167796337713362223733878079194570605916477634899514945527124260337301721162251550717812784932802989162025210185744997724556689092080142138433371036348039945094231641614638284519167893254602577543036180521461756245589947039014194197038438753201821815097032628526171659462514336292565006863270088031167833586744966333199160224554684009113254482760619342601495286091164617134206657600888860253421041202559466924940120907084205827101532130984603613398786976489897307609226415342102955999151037793509925944738318574577005241794516461692875628726752040629335082347335087304734499710884227994852337554088511639122248748545321007463193092020077874180427926686158134192225817404897196334528305457374933916904800649638534944469949974234878833928378150343882650283099452934458981701744655032587123207337526027220433389515192728413746899068647064392202314081186602625889161204771880848170392628434621612267997205669803499068281458620026186885571926786843817404530981895755208957981263315162043733306275628021050158939904773397116593734789309029060223593371827029552132011645894404280229239975099041303966734425165160301379216571206617365077367937003118375271633495960349695367584514619253325291449732940594641235658007698820782637395417456684324317934427026328113807104279045541666759828265838639782015200238786342616169015471540599535567414792965054165955552858069962281799732123414455565942100548457762186175333182732317307457086866555774134828903814008517721488306825139305168571296257046166599000559317079310698875481252104972633399673085789279034373492388816304478962224084846545251148838318064122322385083714151620801999025759275074172209444906057940556630367122198021964540170192518105277408893401262277971000483754531402731099866312376279202852487566280732094904443642856234869248105825906413093498238990343601598197721820306056362102373003564110349580914524368827083593680473126526788415936883307669262768658258504370983029956264944556015235706962848891097176138360104636188428509042304652199943500474602363148778096349828056829260539610460798617526212154149592033121781510487438008991228605520265041284740060931058328173225440866248824568496110827699980758630979542490358637564187951214293457280873924027516875562742982957650570904503921806408201829521545884803950928847886441235536112690756746952758089354988288810170663776967663379339562222564653893241728344957335687749830621620429644035914966858699069963168357960770731754030139253597063881119762852386438045110283922663008350199889087685852650524085216259528059207600897472684573427832465642106296079833850635433895769483451884099045160996934221982082438495598257537567539303086037952036746486735028294141704181151060428302960563852280297418764047921871829747217642668308556044337161403297604335120577363758495333937810533422883233902799960796407920568207468642906567879076921312978174492171167416134611633070692456066075530422487799743919788133053336062429230171903867729528299381307841141859866302018655471926367717329070016035682709583770699638180610913207965336459197422166759273795134898652043623442732950837230561894154673920819811358225468134691418990553271138714131169210655994708067032345156012482064037749190271210744465035396792969063769163639273759010081919522287178299844643673606126583117377430002705840512160579461005815688373330820064329846440005398531945797704795694894339920193486489206886609839400400998543332808751520211306261842521966767317599889704483022851900790391775811428569473763980294202764779017049034130529062488087308366858978488892608206795601334058956086916361312969197568042123670745375230917866795129817829812212129732395546135380842673284017834413396861906473115793396863276923775961996649454314104992194441244016438494207633501807984978571074493440856697039630676489468405665958877297149176034636721978890317183775760992022757145910096434888373232497251088944222886612846399104201488059674784369661178531863469359094691183409187302664718606619088588717510045172550824742324859074386233520169918727332260540790397712657304182940129503411231657280099433328004035423435447400756069124867995832484961071840410628849340833265156084440520819234602923198767950308975924257755260521769034194970561921427333924932095126925388013932571782857430177932162259303843993644496425106466325164953289681156309491632072776217604490045041027676434331426462222477895867617279748850807392584478353151385923640623078518424336700450354802039566836686392686480581038934963}
30592 1719320528040888679149916127606248584460000632400859804602404391203085776605321955630749: {795002,1345388,1618567,1894658,2260922,2532247,3079591,3210585,3424624,3544844,3724538,3789068,3822125,3852702,4455482,4586550,4892320,5503860,5870784,5915642,6604632,7089224,7204844,7430211,7615591,7975377,8156887,8666828,9640844,9919202,11482664,11748967,11830508,12095618,12917997,12999391,13543682,14207145,14424127,14759997,15134767,15154288,15666991,16432898,16793402,16906327,16929644,17048574,17153762,17571425,18606777,19110668,19160493,20031458,20260617,20390522,21085710,21108218,21478687,21713864,22150925,22183682,22491424,22642737,22899938,23050087,23948108,24189644,24428097,24598385,24688058,24962767,25302852,25402298,26581110,27406041,27541562,27556927,27576717,28353184,28450429,28572665,29254508,29320322,29518062,29605857,30030818,30134887,30669585,31332391,31897332,31932065,32185591,32623244,32696647,32714224,32829425,33372104,33765485,33978777,34065068,34225927,34287198,34635002,34734391,35073007,35140550,36046778,36087127,36151297,36399362,36803502,36930247,37543617,37771567,37808258,38318478,38383628,38511842,38649545,39395310,39783391,39999113,40268282,40450925,40518582,40643470,40674029,41951167,41974508,42021664,42168660,42371258,43420802,43823465,44067777,44119778,44149085,44979904,45167162,45262447,45591991,45921247,46379454,46743127,46770297,46909922,47274372,47893064,48066161,48419948,48541110,48772164,49343738,49686991,50012647,50563244,50602392,50911294,51644710,51777184,52588158,52826137,52978902,53844962,53879697,53962413,54129644,54219967,54535298,55344391,55678925,55825207,55959657,56465287,56897134,56927691,56991417,57141590,57688844,58023464,58062100,58249332,58665218,59110508,59694458,59806807,60057644,60379898,60597727,61179118,61229167,61430721,61973652,62146865,62604950,62774402,62847521,63586807,63799592,64369087,65021708,65276397,65305447,65842682,66814710,66950097,67124941,67170391,67846925,67881722,67944391,68569908,68716591,68866462,69265388,69674520,70219617,70592378,71006792,71269024,71346273,71655585,71774541,71853644,72297862,72302937,72550591,72730420,73007647,74319488,74576238,74977538,75125940,75283207,75465910,75814865,76321922,76339591,76432624,76762184,76784108,77328698,77542567,77842591,77940537,78292087,78383835,78890407,78917465,79126988,79720017,79882641,80134336,80177652,80381167,80470265,80675258,81272167,81281620,81342734,81416310,81676418,82336713,82544145,83009282,83046391,83609424,83782591,84134945,84672122,84736844,84810247,85004258,85986702,86074925,86357457,86662778,86844064,87276504,87398740,87981945,88047088,88593785,88978658,89398078,89630348,90151128,90559092,90958082,90977838,91215313,91723244,92191857,92541992,92761927,93616207,93847408,93961257,93973064,94060602,94530982,94700958,94979465,95599447,95883962,96211202,96496701,96538298,96564318,96726391,97537944,97699572,98186067,98380660,98449388,98680844,98705841,98826991,99027665,99052974,99475682,99523591,...,213979965423334554154777944310182429582194429855640261882850932845878879242092258623631963697160005975021758948501275182982421155993533244545023542388374484037357406420364346970272964044274538751450440850609092854074516200954159928687484364783175954270461583711429931638143616074979849127646352098292985771278104221834310253285999700662966948485247497748191604767435641833103304365256315326384007536086481721959514326279794502824223728450284482964978504105592760807888636846532686594036165680449735628216335400957083713243737318882700280247659996966075585456106856184577828048464053260125642188819517712692223857672803436724048240695282341660786596052018925596051251670935762420129376838034895545950019115056753342484360117374890444782326621777598880299406245345484339310347492456801993714788219489512275543467851813671228054936745955899920161209445607769468709507979471484531715968653196410145635220456137274665534717058013234592984424766102673655726021948923834171635669387505780109796446783072979332947845637326469783405451348852162998331393761343284257456026770498907237235581544178922967756539862928446037740609833245222539734199518046592626599965646505111904504200458510200377465937245945308935659540043449497609783368036293911186020256971218329198758196085856269752108248803501185548273029174464227190171246162149690662940893071332091041944826701582514095902382458423206041309194340278610641684420216058311075034170694733545253206364529488791646385745372080298124495769372736176015527859205706972319966798721738622312566886880401838955428275489820103157249337491167028844661280466260490112686159004433721932977254126188314210676931761043516527223275579099090579236035104151742805705394055555679771021118186376020266985048456821558687295387466047423219723953405554607403810759949709066309497885940754589467397943682914900444243643089743276115822074365513105205085344690295317742433519073558095061676061555465334079089439080931833975002806630177866230781052372045831323185088405971949632113128727001531784424085496429846778285535494402665367679033432229612593208077254075507156162930695952720226923357473703211857868349703961333978339375203641466488416501705603803316755040976126539258190474979825664141101208550791330985320458135464263629093741408482803164004752147132774552699158436111458240630835369051221249177743559017024877678005827977373275019926074686980942617131854796234851146806181584571345389739536266591333966136484198370795133104075772347386147281064823368282872199456044162375347316584011988304807360353388379653414574744437564300587821665099424661481103599974344841306056653811516752250601619057943041165232036689167416990643943534094539338562408544269106028727846405267905130515254980714816921008995937010785806651051746894218369290217839119416296752871857655637793276447583666440828827239525381219955811598759950891143947694309005373519004796085174826350469848584060147045230217344466933185450247803534032113621679370745610134529963579431237109954189475061439778467513911861025977935845465393547995912295976109917994131010050090052404114717269382328648980037725522272241534747237737280751803040396558352063895829106329623523557744741392449548537730139113494103151677993778583747377897177645203733281061877227424276624857208757172102561750637565989561556554846148844094256608088100707229983732991893050844071114749905640229205156972704399175077121522479821736024873962568490289772093354714243612778360932850907481217610620448612263229555679031726846531536058164590310601116307415858872898561093081810967290846255225320737694851618841558947541326277422709793541349976085383665587028280992620047195723958751692218185698345346775892696382904399792858231474835444156503240003607787349547439281341087584497774426752439795253340531375927730273060926525786560257981985609182146452533867998057777078335360281741682456695955689756799852939310697135867720522367748571425965018640392270353038689398712174038749984116411155811971318523477609060801778745274782555148417292263424056164894327166974557155726839757106416282839643194061513841123564378690445884529149208630821057862484369231701282662199272418806656259254992021917992276844669077313304761432657921142262719507568652624540887945169729532234712848962638520422911701014656030342861213461913184497643329668118592297182150461865472268650746233045826214904709151292478792921577878916403552958142158784784956680060230067766323099812099181644693559891636443014054387196950209738910586839337881642209706799244437338713897913929867674758833157327776646614762453880838465787777686874779254027758979470564265023933745301232343673680695692045593294082561903111899909460169233850685243429043809906903909549679071791991525995233475288433553271052908208412655509430368290139320060054703568579108568616296637194490156372998467743190112637804201847898187497438024565782267267139736052755782248523581974108051913284}
30593 1724610810135704397235481028148073926097466779073903114876988084965129804575047435944008: {30593,1192503,1681735,2018082,2841987,2996546,3391383,4280780,4431055,4736335,5136936,5317266,5586807,5683602,5779053,6115400,6203071,6683223,6879825,7338480,7731427,7827712,8255790,8806176,8831551,8861530,8873463,9006055,9136543,9746407,9869911,9906948,10047331,10633836,10807266,10833535,11946223,12051055,13000242,13260002,14353330,14444947,14461266,14788135,14878803,15096146,15461842,16277287,17223996,17661946,17745762,17798407,18143427,18942860,18999631,19209031,19679996,20315523,21162055,21774307,22059266,22731432,23888335,24392671,24498727,24649347,24809036,25190103,25394466,25547324,25572861,25730643,27014156,27142330,27546178,28114280,28159807,28624946,28666002,28788847,29200591,29852647,29935135,30047187,30190316,30237055,30585783,30608551,31628565,31662327,32570796,32906263,33275523,33737136,34349907,34749751,35278087,35441480,35922162,36284466,36541388,36568135,36768956,37032087,37200223,37872967,37954278,38103447,39357416,39474476,39871665,40739026,40779055,40892780,40957471,41312343,41594671,41715130,41906431,42529776,42581335,42804127,43025623,43881762,43980483,44277093,44756023,45046227,45305036,45716264,47655058,47845998,47979535,48084307,48399962,48934866,49071336,49884386,50058156,50126287,50545891,50770531,51091304,51097602,51204463,51430797,51854647,51952503,52468135,52527080,52710825,53055151,53787367,54024776,54070167,54599043,55205253,55402147,55423111,55687522,55824643,56224880,56455351,56712387,57477717,57575442,57767763,58676738,58757036,58944847,59092965,59255671,59701378,59863507,59866330,60402423,60524935,60777873,60965205,61839272,61939411,62130943,62360396,62785087,62961762,63032496,63204055,63252990,63556887,63851491,64515847,64549447,64721480,65029552,65131203,65739391,66179667,66574951,66878546,67110691,67166911,67469856,67662055,67750743,69502663,69569181,70117544,70364883,70638536,70779487,70911558,71839596,71949884,72111055,72176323,72529330,72577625,72629922,72811665,73158246,73762567,73888135,74015607,74612876,75072055,75455887,75740962,75844866,75903588,75958063,75988556,76257991,76366941,77041202,77071591,77355667,77467065,77665776,78882237,79468353,79749490,80433991,80767443,80974243,81194466,81277135,81358322,81802947,81907628,82116482,82226431,82631536,82801426,83555546,85345701,85703671,85712385,86045602,86349146,86533266,86581735,87035196,87093150,87373998,87712867,87754018,87997827,88665762,88758490,89086280,89266796,89415223,89541687,89696167,89817055,90086466,90569847,90913025,91426544,91539986,91768677,91921063,92899360,92960478,93626156,93784666,93907425,94161603,94269487,94720591,95128364,95540780,95699388,95952730,95980135,96403916,97287907,97532562,98459011,98764023,98908735,99434984,99603202,99752818,...,320969948135001831232166916465273644373291644783460392824276399268818318863138387935447945545740008962532638422751912774473631733990299866817535313582561726056036109630546520455409446066411808127175661275913639281111774301431239893031226547174763931405692375567144897457215424112469773691469528147439478656917156332751465379928999550994450422727871246622287407151153462749654956547884472989576011304129722582939271489419691754236335592675426724447467756158389141211832955269799029891054248520674603442324503101435625569865605978324050420371489995449113378184160284276866742072696079890188463283229276569038335786509205155086072361042923512491179894078028388394076877506403643630194065257052343318925028672585130013726540176062335667173489932666398320449109368018226508965521238685202990572182329234268413315201777720506842082405118933849880241814168411654203064261969207226797573952979794615218452830684205911998302075587019851889476637149154010483589032923385751257453504081258670164694670174609468999421768455989704675108177023278244497497090642014926386184040155748360855853372316268384451634809794392669056610914749867833809601299277069888939899948469757667856756300687765300566198905868917963403489310065174246414675052054440866779030385456827493798137294128784404628162373205251778322409543761696340785256869243224535994411339606998136562917240052373771143853573687634809061963791510417915962526630324087466612551256042100317879809546794233187469578618058120447186743654059104264023291788808560458479950198082607933468850330320602758433142413234730154735874006236750543266991920699390735169029238506650582899465881189282471316015397641565274790834913368648635868854052656227614208558091083333519656531677279564030400477572685232338030943081199071134829585930108331911105716139924563599464246828911131884201096915524372350666365464634614914173733111548269657807628017035442976613650278610337142592514092333198001118634158621397750962504209945266799346171578558068746984777632608957924448169693090502297676636128244644770167428303241603998051518550148344418889812115881113260734244396043929080340385036210554817786802524555942000967509062805462199732624752558405704975132561464189808887285712469738496211651812826186996477980687203196395443640612112724204746007128220699161829048737654167187360946253053576831873766615338525537316517008741966059912529889112030471413925697782194352276720209272376857018084609304399887000949204726297556192699656113658521079220921597235052424308299184066243563020974876017982457211040530082569480121862116656346450881732497649136992221655399961517261959084980717275128375902428586914561747848055033751125485965915301141809007843612816403659043091769607901857695772882471072225381513493905516178709976577620341327553935326758679124445129307786483456689914671375499661243240859288071829933717398139926336715921541463508060278507194127762239525704772876090220567845326016700399778175371705301048170432519056118415201794945369146855664931284212592159667701270867791538966903768198090321993868443964164876991196515075135078606172075904073492973470056588283408362302120856605921127704560594837528095843743659494435285336617112088674322806595208670241154727516990667875621066845766467805599921592815841136414937285813135758153842625956348984342334832269223266141384912132151060844975599487839576266106672124858460343807735459056598762615682283719732604037310943852735434658140032071365419167541399276361221826415930672918394844333518547590269797304087246885465901674461123788309347841639622716450936269382837981106542277428262338421311989416134064690312024964128075498380542421488930070793585938127538327278547518020163839044574356599689287347212253166234754860005411681024321158922011631376746661640128659692880010797063891595409591389788679840386972978413773219678800801997086665617503040422612523685043933534635199779408966045703801580783551622857138947527960588405529558034098068261058124976174616733717956977785216413591202668117912173832722625938395136084247341490750461835733590259635659624424259464791092270761685346568035668826793723812946231586793726553847551923993298908628209984388882488032876988415267003615969957142148986881713394079261352978936811331917754594298352069273443957780634367551521984045514291820192869776746464994502177888445773225692798208402976119349568739322357063726938718189382366818374605329437213238177177435020090345101649484649718148772467040339837454664521081580795425314608365880259006822463314560198866656008070846870894801512138249735991664969922143680821257698681666530312168881041638469205846397535900617951848515510521043538068389941123842854667849864190253850776027865143565714860355864324518607687987288992850212932650329906579362312618983264145552435208980090082055352868662852924444955791735234559497701614785168956706302771847281246157036848673400900709604079133673372785372961162077869926}
30594 1729917276209029788900279696961557936249183535389530528394106781119680714000339994946475: {519809,1130609,1252673,1590004,2690776,2958209,3027123,3079793,3140573,3237134,3789316,3869309,4494819,4521844,4960253,5064494,5081309,5350975,5806973,6159182,6421170,6849248,6893309,7089688,7449076,7578136,7644250,7705404,7975899,8217533,8517953,8525403,8910964,9173100,9784640,10675073,11007720,11570813,11741568,11831284,11988209,12383685,13059713,13209264,13292295,13772609,13891313,14178448,14409688,14780573,14860422,15135773,15231182,15727133,15950754,16210899,16313774,16435709,17333656,19281688,19375709,19500363,19838404,19890003,20136833,20253809,21529995,21691899,21713309,22179293,22586609,22644219,22702913,22965328,23192763,23497934,23661016,23678575,24191236,24599995,25369073,25835994,25998782,26061809,26492919,26618643,27041213,27087364,28247873,28414290,28848254,29107613,29519994,29965553,30194033,30269534,30308576,31011295,31333982,31391453,31934155,32244593,32865796,33088899,33586804,33767695,33812654,33859288,33888893,34097148,34307524,34437739,34454333,35075393,35142850,36145853,37213554,37606013,37737895,37830173,37998209,38091699,38221336,38278109,38320986,40001731,40062916,40120433,40521234,40713495,40781044,41319267,41621309,42171420,42175709,42216436,42839933,42937419,42957374,42999003,43427728,43447793,44301850,44367364,44495453,44704891,44982848,45285474,45485309,45595133,45676735,45799876,45961195,46100174,47271679,47896216,48069307,48221309,48379288,48856194,48929393,49196770,49343095,49376116,49744733,49925534,50605704,50804596,51115975,51207809,51478109,51856193,52449533,53162220,53740733,53883243,54109363,54426699,54706109,54812082,55083124,55113854,55153434,55348253,55401713,55882493,56469233,56631295,56706368,56805463,56842109,56900858,56931417,57108209,57145330,57267773,58509016,58594673,58640644,59036124,59211714,59335553,60061636,60269774,60654653,61108539,61339170,61352851,61443713,61808719,62572695,62650109,62664782,63591293,63794664,63864130,64371182,64738109,64998209,65246488,65362013,65393294,65428448,65658850,65822643,66744208,67226813,67484993,67530970,67949213,67957554,68130136,68451854,68574396,69270004,69468782,70146014,70241347,70281100,71333693,71482587,71768997,72093556,72174254,72302594,72599943,72606593,72798724,73402299,73446295,73607004,73621313,73860494,73975709,74274343,74733809,74826579,75087234,75137393,75543134,75590813,75616516,76636956,76646403,76767256,76997309,77023684,77247809,77299090,77598173,77848193,77898173,77950495,78790620,78896093,79095293,79244609,79344113,79566782,79998226,80238209,80386973,80536564,80901850,81037164,81286940,81348058,81870653,83052413,83531283,83902334,83949016,84043328,84337320,84425309,84742516,86132609,86363163,86764253,86841604,86861309,87005611,87346109,87646930,88015107,88135554,88239556,88298170,89036609,89552067,89799495,89937355,89959808,90334324,90381953,90524894,90621533,91183982,91842494,92758908,93266095,93486254,93540594,93819844,94049309,94442643,94548744,94616573,94879485,94985695,95229809,95465309,95606513,95786128,96132322,96780413,96839896,97082220,97342109,97482353,97544328,98182493,98687476,98880833,99298973,99373982,99530993,...,481454922202502746848250374697910466559937467175190589236414598903227478294707581903171918318610013443798957634127869161710447600985449800226302970373842589084054164445819780683114169099617712190763491913870458921667661452146859839546839820762145897108538563350717346185823136168704660537204292221159217985375734499127198069893499326491675634091806869933431110726730194124482434821826709484364016956194583874408907234129537631354503389013140086671201634237583711817749432904698544836581372781011905163486754652153438354798408967486075630557234993173670067276240426415300113109044119835282694924843914853557503679763807732629108541564385268736769841117042582591115316259605465445291097885578514978387543008877695020589810264093503500760234898999597480673664052027339763448281858027804485858273493851402619972802666580760263123607678400774820362721252617481304596392953810840196360929469691922827679246026308867997453113380529777834214955723731015725383549385078626886180256121888005247042005261914203499132652683984557012662265534917366746245635963022389579276060233622541283780058474402576677452214691589003584916372124801750714401948915604833409849922704636501785134451031647950849298358803376945105233965097761369622012578081661300168545578185241240697205941193176606942243559807877667483614315642544511177885303864836803991617009410497204844375860078560656715780360531452213592945687265626873943789945486131199918826884063150476819714320191349781204367927087180670780115481088656396034937683212840687719925297123911900203275495480904137649713619852095232103811009355125814900487881049086102753543857759975874349198821783923706974023096462347912186252370052972953803281078984341421312837136625000279484797515919346045600716359027848507046414621798606702244378895162497866658574209886845399196370243366697826301645373286558525999548196951922371260599667322404486711442025553164464920475417915505713888771138499797001677951237932096626443756314917900199019257367837103120477166448913436886672254539635753446514954192366967155251142454862405997077277825222516628334718173821669891101366594065893620510577554315832226680203786833913001451263594208193299598937128837608557462698842196284713330928568704607744317477719239280494716971030804794593165460918169086307119010692331048742743573106481250781041419379580365247810649923007788305974775513112949089868794833668045707120888546673291528415080313908565285527126913956599830501423807089446334289049484170487781618831382395852578636462448776099365344531462314026973685816560795123854220182793174984519676322598746473705488332483099942275892938627471075912692563853642880371842621772082550626688228948872951712713511765419224605488564637654411852786543659323706608338072270240858274268064964866430511991330902990138018686667693961679725185034872007063249491864861288932107744900576097209889505073882312195262090417760791191643359288557159314135330851767989025050599667263057557951572255648778584177622802692418053720283497396926318888239501551906301687308450355652297135482990802665946247315486794772612702617909258113856110239460205084882425112543453181284908881691556840892256292143765615489241652928004925668133011484209892813005361732091275486001813431600268649701708399882389223761704622405928719703637230763938934523476513502248403834899212077368198226591267463399231759364399160008187287690515711603188584898143923523425579598906055966415779103151987210048107048128751312098914541832739623896009377592266500277821385404695956130870328198852511691685682464021762459434074676404404074256971659813416142393507631967984124201097035468037446192113247570813632233395106190378907191307490917821277030245758566861534899533931020818379749352132290008117521536481738383017447065119992460192989539320016195595837393114387084683019760580459467620659829518201202995629998426254560633918785527565900301952799669113449068555702371175327434285708421291940882608294337051147102391587187464261925100576935466677824620386804002176868260749083938907592704126371012236125692753600385389453489436636389197186638406142528019852053503240190585719419347380190589830771327885989948362942314976583323732049315482622900505423954935713223480322570091118892029468405216997876631891447528103910165936670951551327282976068271437730289304665119697491753266832668659838539197312604464179024353108983535595590408077284073550227561907994155819857265766152530135517652474226974577223158700560509756181996781622371193137971912548820388510233694971840298299984012106270306342202268207374603987497454883215521231886548022499795468253321562457703808769596303850926927772773265781565307102584911685764282001774796285380776164041797715348572290533796486777911531980933489275319398975494859869043468928474896218328652813470135123083029302994279386667433687602851839246552422177753435059454157770921869235555273010101351064406118700510059178059441743116804889}
30595 1735239975484561251363307789906988134419256483756796206108139040728552516696041426313780: {61186,1987505,2354429,2385006,3363470,4036164,4736645,4855701,5652305,5683974,5993092,6203477,6630869,6782766,7596741,8561560,8862110,9137141,9238773,9311345,9472670,9631755,9870557,10273872,10418573,10634532,11031077,11138705,11173614,11367204,11466375,11518481,11558106,12230800,12406142,12608477,13351661,13366446,13759650,14676960,14789105,15166949,15462854,15655424,16511580,16871477,17071301,17612352,17663102,17723060,17746926,18012110,18273086,19492814,19739822,19813896,20094662,20703389,21034481,21267672,21468917,21614532,21667070,22290633,22491029,22846773,23892446,23926131,24102110,24470661,24798005,26000484,26520004,27262397,28706660,28889894,28922532,28953041,29576270,29626877,29757606,30192292,30193181,30239045,30923684,31646129,32554574,32757617,33443669,33859205,34209557,34447992,35246901,35280401,35323892,35491524,35596814,36286854,37885720,37999262,38418062,38753991,38837957,38998173,39359992,40631046,41082245,41909189,41983505,42324110,42331877,42621435,42884405,43272381,43548614,44118532,44279991,44463269,44758961,45404301,45462864,45775997,46294289,47000973,47776670,48087461,48785342,48997454,49298694,49618072,50078645,50380206,50718981,50788932,50976305,51094648,51145722,51195389,51461286,52547429,52714275,52770545,54028312,54284660,55092356,55405781,55459205,55820331,56228560,56319614,56411141,56459057,57090677,57249845,57249892,57332004,57481479,57577694,58401182,59613869,59705294,59736053,59870270,60094374,60380632,60474110,60532373,60781851,61171566,61217102,61720145,61943477,63097157,63257130,63324654,63342269,63505745,64436061,64520093,64553681,65141592,65812526,66452775,66551046,67115093,67171349,67474272,67928211,68699814,68831729,68853905,69001133,69150261,69499502,70556174,70747781,70882960,71844324,72181061,72568932,73082776,73136270,73284291,73300805,73455389,73473437,73537912,73795155,74064174,74400446,74888301,75077045,75460853,75587189,75745934,75908556,76206894,76246001,76262993,77360741,78106109,78714832,78948952,79743330,79977893,81478052,81558110,81785560,81914942,82218123,82624686,82670781,82730151,83189342,83430260,83812862,84734909,85059552,85162670,85351287,85608254,85709297,85717995,86051246,86138837,86587505,87763524,87851375,87960966,88485677,88554186,88817571,89512046,90092454,90116945,90363053,90404661,90610072,90998405,91432528,91614269,92008755,92345429,93997173,94520645,94726877,95058353,95310116,95691996,95796195,95959070,96168614,96279605,96556773,96799924,97869732,98089941,98142672,98488275,99768772,99934661,...,641939896270003662464333832930547288746583289566920785648552798537636637726276775870895891091480017925065276845503825548947263467980599733635070627165123452112072219261093040910818892132823616254351322551827278562223548602862479786062453094349527862811384751134289794914430848224939547382939056294878957313834312665502930759857999101988900845455742493244574814302306925499309913095768945979152022608259445165878542978839383508472671185350853448894935512316778282423665910539598059782108497041349206884649006202871251139731211956648100840742979990898226756368320568553733484145392159780376926566458553138076671573018410310172144722085847024982359788156056776788153755012807287260388130514104686637850057345170260027453080352124671334346979865332796640898218736036453017931042477370405981144364658468536826630403555441013684164810237867699760483628336823308406128523938414453595147905959589230436905661368411823996604151174039703778953274298308020967178065846771502514907008162517340329389340349218937998843536911979409350216354046556488994994181284029852772368080311496721711706744632536768903269619588785338113221829499735667619202598554139777879799896939515335713512601375530601132397811737835926806978620130348492829350104108881733558060770913654987596274588257568809256324746410503556644819087523392681570513738486449071988822679213996273125834480104747542287707147375269618123927583020835831925053260648174933225102512084200635759619093588466374939157236116240894373487308118208528046583577617120916959900396165215866937700660641205516866284826469460309471748012473501086533983841398781470338058477013301165798931762378564942632030795283130549581669826737297271737708105312455228417116182166667039313063354559128060800955145370464676061886162398142269659171860216663822211432279849127198928493657822263768402193831048744701332730929269229828347466223096539315615256034070885953227300557220674285185028184666396002237268317242795501925008419890533598692343157116137493969555265217915848896339386181004595353272256489289540334856606483207996103037100296688837779624231762226521468488792087858160680770072421109635573605049111884001935018125610924399465249505116811409950265122928379617774571424939476992423303625652373992955961374406392790887281224225448409492014256441398323658097475308334374721892506107153663747533230677051074633034017483932119825059778224060942827851395564388704553440418544753714036169218608799774001898409452595112385399312227317042158441843194470104848616598368132487126041949752035964914422081060165138960243724233312692901763464995298273984443310799923034523918169961434550256751804857173829123495696110067502250971931830602283618015687225632807318086183539215803715391545764942144450763026987811032357419953155240682655107870653517358248890258615572966913379829342750999322486481718576143659867434796279852673431843082927016120557014388255524479051409545752180441135690652033400799556350743410602096340865038112236830403589890738293711329862568425184319335402541735583077933807536396180643987736887928329753982393030150270157212344151808146985946940113176566816724604241713211842255409121189675056191687487318988870570673234224177348645613190417340482309455033981335751242133691532935611199843185631682272829874571626271516307685251912697968684669664538446532282769824264302121689951198975679152532213344249716920687615470918113197525231364567439465208074621887705470869316280064142730838335082798552722443652831861345836789688667037095180539594608174493770931803348922247576618695683279245432901872538765675962213084554856524676842623978832268129380624049928256150996761084842977860141587171876255076654557095036040327678089148713199378574694424506332469509720010823362048642317844023262753493323280257319385760021594127783190819182779577359680773945956827546439357601603994173331235006080845225047370087867069270399558817932091407603161567103245714277895055921176811059116068196136522116249952349233467435913955570432827182405336235824347665445251876790272168494682981500923671467180519271319248848518929582184541523370693136071337653587447625892463173587453107695103847986597817256419968777764976065753976830534007231939914284297973763426788158522705957873622663835509188596704138546887915561268735103043968091028583640385739553492929989004355776891546451385596416805952238699137478644714127453877436378764733636749210658874426476354354870040180690203298969299436297544934080679674909329042163161590850629216731760518013644926629120397733312016141693741789603024276499471983329939844287361642515397363333060624337762083276938411692795071801235903697031021042087076136779882247685709335699728380507701552055730287131429720711728649037215375974577985700425865300659813158724625237966528291104870417960180164110705737325705848889911583470469118995403229570337913412605543694562492314073697346801801419208158267346745570745922324155739852}
30596 1740578957334843413368757146064710673213928241608704894433899520515426218633917314077368: {91779,580963,1039618,1130683,1313779,2045443,2261218,2410843,2505346,3140779,3180008,3577509,3869563,5045205,5381552,5867779,5916418,6054246,6159586,6281146,6474268,6954043,7491365,7578632,7738618,8398363,8525961,8578579,8989638,9043688,9920506,10128988,10162618,10174149,10197283,10701950,11273179,11613946,12318364,12346483,12842340,13293165,13698496,13773523,13786618,13951579,14179376,14209005,14663083,14898152,15018403,15156272,15288500,15410808,15951798,16435066,16760421,17035906,17050806,17337159,17821928,18203323,18346200,18379579,18609213,19569280,20049669,20639475,21350146,21889579,22015440,22153825,23141626,23194281,23483136,23662568,23976418,24767370,26119426,26418528,26494653,26584590,26620389,27018165,27409629,27545218,27782626,28356896,28651243,28819376,29239221,29510203,29561146,29609733,29720844,29853283,30141993,30271546,30462364,31454266,31564363,31901508,32421798,32500605,32627548,32871418,33098179,33150005,33947779,34439993,34667312,35641579,35838669,35883325,36153165,36654403,37740365,38563376,38654605,38751418,38839963,39000726,39676808,39780006,40273666,40507618,41513179,41679643,42510883,43059990,43334841,43383798,43415813,43426618,44154865,44358586,44364405,44636409,44707817,45173218,45288438,45405826,45817843,45930656,46385526,46995868,47274773,47322032,47357150,48115579,48279163,48382472,48831861,49199990,50561779,50724283,50738146,51373579,51535723,51671988,51997564,52123618,52833053,52985838,53237286,53395221,53637043,53798179,54082426,54174728,54430281,55148165,55405579,56495746,56809181,56828580,56998893,57005779,57165403,57627093,57643843,57696508,58215226,59039988,59392579,59931106,60388066,60539068,60617152,60946569,62022590,62549779,62667964,62782906,62855749,63486165,63868310,63947429,64345673,64489186,64742683,65322921,65731592,66177798,67076563,67133729,67173608,67535390,67625308,67718576,67777786,67855825,68194296,68615048,68865445,68875478,68908666,69080333,69548179,70150786,70285700,71236723,71562365,71665005,72291706,73178013,73496181,73948041,74427108,74739163,75212026,75475790,75570309,75646579,75660346,75996418,76183398,76442672,76551403,76556218,76641972,76718583,77191929,77753803,77903779,78652579,79250323,79283813,80003462,80125832,80240866,81042468,81426990,81562088,82638534,83012501,83242618,84342840,84351418,84431443,84432872,84479421,85457083,85679866,85874838,85914748,85998006,86366541,86855456,86895586,86916163,87352483,87601773,87778769,88368043,88603700,88734728,88990906,89091283,89409782,89557941,89805405,89965696,90141561,90388579,90532363,90570948,90711165,90970618,91106779,91190266,91353470,91599752,91757349,91825653,91922390,92200348,94103563,94543358,94885695,94986981,95519443,95792432,96138614,96442618,96758576,97712388,97858786,98049883,98189779,98393540,98686190,98718789,98752232,99489466,99826569,99851068,...,962909844405005493696500749395820933119874934350381178472829197806454956589415163806343836637220026887597915268255738323420895201970899600452605940747685178168108328891639561366228338199235424381526983827740917843335322904293719679093679641524291794217077126701434692371646272337409321074408584442318435970751468998254396139786998652983351268183613739866862221453460388248964869643653418968728033912389167748817814468259075262709006778026280173342403268475167423635498865809397089673162745562023810326973509304306876709596817934972151261114469986347340134552480852830600226218088239670565389849687829707115007359527615465258217083128770537473539682234085165182230632519210930890582195771157029956775086017755390041179620528187007001520469797999194961347328104054679526896563716055608971716546987702805239945605333161520526247215356801549640725442505234962609192785907621680392721858939383845655358492052617735994906226761059555668429911447462031450767098770157253772360512243776010494084010523828406998265305367969114025324531069834733492491271926044779158552120467245082567560116948805153354904429383178007169832744249603501428803897831209666819699845409273003570268902063295901698596717606753890210467930195522739244025156163322600337091156370482481394411882386353213884487119615755334967228631285089022355770607729673607983234018820994409688751720157121313431560721062904427185891374531253747887579890972262399837653768126300953639428640382699562408735854174361341560230962177312792069875366425681375439850594247823800406550990961808275299427239704190464207622018710251629800975762098172205507087715519951748698397643567847413948046192924695824372504740105945907606562157968682842625674273250000558969595031838692091201432718055697014092829243597213404488757790324995733317148419773690798392740486733395652603290746573117051999096393903844742521199334644808973422884051106328929840950835831011427777542276999594003355902475864193252887512629835800398038514735674206240954332897826873773344509079271506893029908384733934310502284909724811994154555650445033256669436347643339782202733188131787241021155108631664453360407573667826002902527188416386599197874257675217114925397684392569426661857137409215488634955438478560989433942061609589186330921836338172614238021384662097485487146212962501562082838759160730495621299846015576611949551026225898179737589667336091414241777093346583056830160627817130571054253827913199661002847614178892668578098968340975563237662764791705157272924897552198730689062924628053947371633121590247708440365586349969039352645197492947410976664966199884551785877254942151825385127707285760743685243544165101253376457897745903425427023530838449210977129275308823705573087318647413216676144540481716548536129929732861023982661805980276037373335387923359450370069744014126498983729722577864215489801152194419779010147764624390524180835521582383286718577114318628270661703535978050101199334526115115903144511297557168355245605384836107440566994793852637776479003103812603374616900711304594270965981605331892494630973589545225405235818516227712220478920410169764850225086906362569817763383113681784512584287531230978483305856009851336266022968419785626010723464182550972003626863200537299403416799764778447523409244811857439407274461527877869046953027004496807669798424154736396453182534926798463518728798320016374575381031423206377169796287847046851159197812111932831558206303974420096214096257502624197829083665479247792018755184533000555642770809391912261740656397705023383371364928043524918868149352808808148513943319626832284787015263935968248402194070936074892384226495141627264466790212380757814382614981835642554060491517133723069799067862041636759498704264580016235043072963476766034894130239984920385979078640032391191674786228774169366039521160918935241319659036402405991259996852509121267837571055131800603905599338226898137111404742350654868571416842583881765216588674102294204783174374928523850201153870933355649240773608004353736521498167877815185408252742024472251385507200770778906978873272778394373276812285056039704107006480381171438838694760381179661542655771979896725884629953166647464098630965245801010847909871426446960645140182237784058936810433995753263782895056207820331873341903102654565952136542875460578609330239394983506533665337319677078394625208928358048706217967071191180816154568147100455123815988311639714531532305060271035304948453949154446317401121019512363993563244742386275943825097640777020467389943680596599968024212540612684404536414749207974994909766431042463773096044999590936506643124915407617539192607701853855545546531563130614205169823371528564003549592570761552328083595430697144581067592973555823063961866978550638797950989719738086937856949792436657305626940270246166058605988558773334867375205703678493104844355506870118908315541843738471110546020202702128812237401020118356118883486233609778}
30597 1745934271281716633896164085736997544399803386791324903122756208002851254700191333534750: {122372,1559427,2782507,3391827,3758019,3975010,4708858,4770012,6631303,6726940,7913227,8072328,8092835,8874627,9081369,9239379,9421719,9473290,9711402,9747683,11031799,11304610,11367948,11607927,11947787,11986184,12312859,12406954,12661235,13035883,13261738,13484457,13565532,14880759,15193482,15243927,15397955,15594187,15788663,16052925,17123120,17420919,17724220,18274282,18477546,18622690,18945340,19110625,19263510,19741114,20547744,20679927,20704747,20837146,21269064,21285683,22062154,22277410,22347228,22734408,22932750,23036962,23116212,23927697,24461600,24652599,24812284,25216954,25553859,25576209,25683299,26580307,26703322,26732892,27519300,29353920,29578210,29856563,30333898,30925708,31310848,32025219,33023160,33742954,34142602,34712439,34717207,35016763,35224704,35326204,35369203,35446120,35493852,35964627,36024220,36546172,36824363,37151055,38077955,38985628,39179139,39479644,39627792,39876885,40189324,40784435,41317827,41406778,41673939,42068962,42334663,42535344,42937834,43031267,43229064,43334140,44341719,44581266,44982058,45407319,45693546,45886643,46132883,47181399,47402887,47784892,47852262,48204220,48552547,48632697,48941322,49307127,49596010,52000968,52200899,53040008,54524794,57413320,57515143,57779788,57845064,57906082,58127127,58207319,58501089,58527107,58744835,58776907,58790843,59152540,59253754,59515212,59670009,60038167,60384584,60386362,60410499,60478090,60761427,61847368,62101507,62793323,63101299,63292258,64589985,64996955,65075697,65109148,65139927,65515234,65852963,66537879,66887338,67718410,67759827,67809923,67932657,68108739,68419114,68895984,69005659,69578289,70110103,70493802,70560802,70647784,70983048,71035725,71193628,71366827,71538259,72120635,72573708,73772243,73799985,73878763,74979287,75592147,75673835,75771440,75968027,75998524,76107219,76251019,76836124,77081723,77507982,77642887,77675914,77996346,78185427,78334955,78719984,79478757,79782263,79855929,79983139,80149783,81123639,81262092,82164490,83818378,83967010,84531635,84551543,84648220,84663754,84743619,85242870,85649219,85768810,86408203,86544762,87097228,87295063,87322839,87724439,87857125,88237064,88559982,88908043,88926538,89237843,89517922,89896659,90582099,90808602,90925728,91551994,91620283,92588578,93033885,94001946,94174359,95553340,95802465,96174922,96395467,96733779,97570684,97634339,97994908,98597388,98673083,99236144,99266697,...,1444364766607508240544751124093731399679812401525571767709243796709682434884122745709515754955830040331396872902383607485131342802956349400678908911121527767252162493337459342049342507298853136572290475741611376765002984356440579518640519462286437691325615690052152038557469408506113981611612876663477653956127203497381594209680497979475026902275420609800293332180190582373447304465480128453092050868583751623226721702388612894063510167039420260013604902712751135453248298714095634509744118343035715490460263956460315064395226902458226891671704979521010201828721279245900339327132359505848084774531744560672511039291423197887325624693155806210309523351127747773345948778816396335873293656735544935162629026633085061769430792280510502280704696998792442020992156082019290344845574083413457574820481554207859918407999742280789370823035202324461088163757852443913789178861432520589082788409075768483037738078926603992359340141589333502644867171193047176150648155235880658540768365664015741126015785742610497397958051953671037986796604752100238736907889067168737828180700867623851340175423207730032356644074767010754749116374405252143205846746814500229549768113909505355403353094943852547895076410130835315701895293284108866037734244983900505636734555723722091617823579529820826730679423633002450842946927633533533655911594510411974851028231491614533127580235681970147341081594356640778837061796880621831369836458393599756480652189451430459142960574049343613103781261542012340346443265969188104813049638522063159775891371735700609826486442712412949140859556285696311433028065377444701463643147258308260631573279927623047596465351771120922069289387043736558757110158918861409843236953024263938511409875000838454392547758038136802149077083545521139243865395820106733136685487493599975722629660536197589110730100093478904936119859675577998644590855767113781799001967213460134326076659493394761426253746517141666313415499391005033853713796289879331268944753700597057772103511309361431499346740310660016763618907260339544862577100901465753427364587217991231833475667549885004154521465009673304099782197680861531732662947496680040611360501739004353790782624579898796811386512825672388096526588854139992785706113823232952433157717841484150913092414383779496382754507258921357032076993146228230719319443752343124258138741095743431949769023364917924326539338847269606384501004137121362665640019874585245240941725695856581380741869799491504271421268339002867148452511463344856494147187557735909387346328298096033594386942080921057449682385371562660548379524953559028967796239421116464997449299826827678815882413227738077691560928641115527865316247651880064686846618855138140535296257673816465693912963235558359630977971119825014216810722574822804194894599291535973992708970414056060003081885039175555104616021189748475594583866796323234701728291629668515221646936585786271253282373574930077865671477942405992555303967075151799001789172673854716766946335752532868408077254161160850492190778956664718504655718905061925351066956891406448972407997838741946460384317838107853727774341568330718380615254647275337630359543854726645074670522676768876431296846467724958784014777004399034452629678439016085196273826458005440294800805949105125199647167671285113867217786159110911692291816803570429540506745211504697636232104594679773802390197695278093197480024561863071547134809565754694431770570276738796718167899247337309455961630144321144386253936296743625498218871688028132776799500833464156214087868392610984596557535075057047392065287378302224029213212222770914979440248427180522895903952372603291106404112338576339742712440896700185318571136721573922472753463831090737275700584604698601793062455139248056396870024352564609445215149052341195359977380578968617960048586787512179343161254049059281741378402861979488554603608986889995278763681901756356582697700905858399007340347205667107113525982302857125263875822647824883011153441307174761562392785775301730806400033473861160412006530604782247251816722778112379113036708377078260801156168360468309909167591559915218427584059556160509720571757158258042140571769492313983657969845088826944929749971196147946447868701516271864807139670440967710273356676088405215650993629895674342584311730497810012854653981848928204814313190867913995359092475259800498005979515617591937813392537073059326950606786771224231852220650682685723982467459571797298457590406552957422680923731669476101681529268545990344867113579413915737646461165530701084915520894899952036318810919026606804622123811962492364649646563695659644067499386404759964687373111426308788911552780783318319797344695921307754735057292846005324388856142328492125393146045716871601389460333734595942800467825958196926484579607130406785424688654985958440410405369249087908982838160002301062808555517739657266533260305178362473312765607706665819030304053193218356101530177534178325229350414667}
30598 1751305966996765838441261544163987353649033571583953713793116379845795376794174270089726: {152965,183558,1161926,1252837,1801801,2079236,2261366,2627558,2715301,3080197,3262537,3991177,4090886,4522436,4536901,4821686,5010692,5081977,5962515,6281558,6360016,7063287,7155018,7617097,7739126,7797637,8408675,10090410,10487911,10763104,11735558,11832836,12108492,12108997,12319172,12562292,12948536,13893157,13908086,14209935,14427001,14567103,14982730,15157264,15315301,15477236,16796726,16956915,17051922,17086501,17157158,17616457,17979276,18087376,18610431,19841012,19892607,20256517,20257976,20325236,20348298,20394566,21403900,21483001,22155275,22546358,22705957,22790223,23227892,23681675,24099301,24636728,24692966,24967801,25488037,25684680,26180677,26586330,27396992,27411423,27547046,27562501,27573236,27716319,27903158,27934035,28358752,28418010,28895265,29326166,29611671,29796304,30036806,30312544,30483577,30577000,30821616,31015355,31255719,31338757,31903596,32362597,32870132,33093231,33416115,33520842,34071812,34101612,34399125,34555443,34674318,34910857,35643856,36406646,36692400,36759158,36937801,37218426,37825431,38115397,38657135,39138560,39958777,40054983,40099338,41278950,42292297,42700292,43779158,44030880,44157755,44307650,44367315,45030275,45500847,45601417,45682715,46283252,46388562,46410007,46917001,46966272,47325136,47409157,47952836,48732035,49044997,49349555,49534740,50236655,50614431,51213903,52238852,52836511,52837056,52989306,53103097,53169180,53240778,54036330,54116447,54167675,54552997,54819258,55090436,55565252,55836901,56637001,56713792,57302486,57638752,57913417,58231801,58478442,59020406,59122292,59219466,59343877,59441688,59706566,59731115,59819401,60255275,60283986,60543092,60924728,61816811,62110167,62859863,62908532,63103443,63128726,63803016,64406751,64843596,65001210,65255096,65319301,65742836,66196358,66300010,66871899,67138123,67473087,67895558,68113477,68540319,68879986,68885497,69334624,70250543,71283158,71677338,71766650,71778393,72224735,72261001,72306330,73308806,73411983,73940675,74239237,74284067,74394015,75480730,77126752,77207431,77309210,77502836,77559301,77679926,78001452,78309001,79353616,79355557,79560012,80249797,80547301,80547332,81015236,81386435,81787191,83026358,83359286,84975301,85021766,85028999,85707001,86119980,86669682,86767596,86831626,86853236,86859123,86873977,87455737,88309730,88717172,88728810,88880631,88992035,89272818,89415634,90059401,90346436,90576876,90579543,90717135,90811652,91495801,91635686,91861312,92639737,92771052,93991736,94549546,94630537,94644064,94714300,94938387,94998155,95761801,96045155,96231158,96411623,96558326,96747877,96764944,97127987,97590277,97663722,98105683,98272851,98399980,98849017,98988517,99963001,...,1925819688810010987393001498791641866239749868700762356945658395612909913178830327612687673274440053775195830536511476646841790403941799200905211881495370356336216657783279122732456676398470848763053967655481835686670645808587439358187359283048583588434154253402869384743292544674818642148817168884636871941502937996508792279573997305966702536367227479733724442906920776497929739287306837937456067824778335497635628936518150525418013556052560346684806536950334847270997731618794179346325491124047620653947018608613753419193635869944302522228939972694680269104961705661200452436176479341130779699375659414230014719055230930516434166257541074947079364468170330364461265038421861781164391542314059913550172035510780082359241056374014003040939595998389922694656208109359053793127432111217943433093975405610479891210666323041052494430713603099281450885010469925218385571815243360785443717878767691310716984105235471989812453522119111336859822894924062901534197540314507544721024487552020988168021047656813996530610735938228050649062139669466984982543852089558317104240934490165135120233897610306709808858766356014339665488499207002857607795662419333639399690818546007140537804126591803397193435213507780420935860391045478488050312326645200674182312740964962788823764772706427768974239231510669934457262570178044711541215459347215966468037641988819377503440314242626863121442125808854371782749062507495775159781944524799675307536252601907278857280765399124817471708348722683120461924354625584139750732851362750879701188495647600813101981923616550598854479408380928415244037420503259601951524196344411014175431039903497396795287135694827896092385849391648745009480211891815213124315937365685251348546500001117939190063677384182402865436111394028185658487194426808977515580649991466634296839547381596785480973466791305206581493146234103998192787807689485042398669289617946845768102212657859681901671662022855555084553999188006711804951728386505775025259671600796077029471348412481908665795653747546689018158543013786059816769467868621004569819449623988309111300890066513338872695286679564405466376263574482042310217263328906720815147335652005805054376832773198395748515350434229850795368785138853323714274818430977269910876957121978867884123219178372661843672676345228476042769324194970974292425925003124165677518321460991242599692031153223899102052451796359475179334672182828483554186693166113660321255634261142108507655826399322005695228357785337156197936681951126475325529583410314545849795104397461378125849256107894743266243180495416880731172699938078705290394985894821953329932399769103571754509884303650770255414571521487370487088330202506752915795491806850854047061676898421954258550617647411146174637294826433352289080963433097072259859465722047965323611960552074746670775846718900740139488028252997967459445155728430979602304388839558020295529248781048361671043164766573437154228637256541323407071956100202398669052230231806289022595114336710491210769672214881133989587705275552958006207625206749233801422609188541931963210663784989261947179090450810471637032455424440957840820339529700450173812725139635526766227363569025168575062461956966611712019702672532045936839571252021446928365101944007253726401074598806833599529556895046818489623714878814548923055755738093906054008993615339596848309472792906365069853596927037457596640032749150762062846412754339592575694093702318395624223865663116412607948840192428192515005248395658167330958495584037510369066001111285541618783824523481312795410046766742729856087049837736298705617616297027886639253664569574030527871936496804388141872149784768452990283254528933580424761515628765229963671285108120983034267446139598135724083273518997408529160032470086145926953532069788260479969840771958157280064782383349572457548338732079042321837870482639318072804811982519993705018242535675142110263601207811198676453796274222809484701309737142833685167763530433177348204588409566348749857047700402307741866711298481547216008707473042996335755630370816505484048944502771014401541557813957746545556788746553624570112079408214012960762342877677389520762359323085311543959793451769259906333294928197261930491602021695819742852893921290280364475568117873620867991506527565790112415640663746683806205309131904273085750921157218660478789967013067330674639354156789250417856716097412435934142382361632309136294200910247631976623279429063064610120542070609896907898308892634802242039024727987126489484772551887650195281554040934779887361193199936048425081225368809072829498415949989819532862084927546192089999181873013286249830815235078385215403707711091093063126261228410339646743057128007099185141523104656167190861394289162135185947111646127923733957101277595901979439476173875713899584873314611253880540492332117211977117546669734750411407356986209688711013740237816631083687476942221092040405404257624474802040236712237766972467219556}
30599 1756694094301770696842349210365328100499669730625702974081188387943704833465082236512302: {244744,275337,1742889,2599045,3118854,3392049,3699817,3941337,5565014,5653045,6136329,6263365,6783654,7232529,7516038,7950020,9417716,9422337,9540024,9748321,10419937,10732527,11329969,11519989,11608689,11948569,13262606,13353409,13453880,14791045,15062629,15135615,15398965,15702865,15826454,16144656,16162537,16185670,17603337,17725729,17749254,18162738,18478758,18659329,18843438,18946580,19346545,19422804,19495366,19813321,20862129,21557137,22063598,22324009,22474095,22609220,22735896,23215854,23789881,23833777,23895574,23972368,24625718,24801265,24813908,25195089,25322470,25406545,25577883,25735737,25988689,26071766,26512321,26523476,26754875,26968914,27131064,27454561,27506629,29034865,29761518,30386964,30487854,30522447,30591849,30795910,31188374,31577326,32105850,32533897,33001849,33819537,34246240,34466545,34841838,35285029,35448440,36298981,36548564,36955092,37039449,37245380,37861669,37890680,38221250,38527020,39482228,39879495,41087665,41095488,41156641,41320569,41359854,41409494,41411569,41674292,41854737,42538128,42571366,42589765,42627015,43989249,44124308,44554820,44694456,45055209,45468816,45865500,46073924,46135909,46232424,46556521,46904629,47014369,47855394,48093769,48923200,49305198,49624568,50281263,50433908,51107718,51152418,51299077,51366598,51560281,52011477,52554337,53160614,53309137,53375365,53406644,53465784,53970421,54229669,54609969,55038600,55138737,55413049,55800961,55827639,57098209,57854065,58211137,58530949,58707840,59156420,59713126,59828149,59941045,60149007,60667796,61658689,61851416,61918425,62621696,64050438,64562149,65298565,65412649,65668737,65857297,66046320,66461475,66521521,67123897,67485908,68285204,68863045,69424878,69434414,69456565,69582843,69854881,70033526,70449408,70652408,70738406,70892240,70987704,71929254,72048440,73092344,73648726,73902865,74302110,74984209,75678865,75787561,76155910,76272997,76380769,77370889,77826229,77971256,78116377,78358278,78635665,78959288,79255584,79483959,79753770,79861167,80099857,80378648,80449897,81054495,81568870,82178545,82228887,82242769,82635654,82813556,83347878,83758777,84137924,84557089,84669326,85070688,85654837,85875668,85953729,86062534,86150161,86458128,86668280,87417697,87717663,88530609,88683438,88829199,88941529,89162532,89243701,89559849,89713921,89964116,90425979,90814638,90995737,91004929,91387092,91773286,92265766,92516329,93678937,94288129,94362798,94693089,94805774,95392177,95569784,95704524,96408440,96878545,97105094,97265394,97501815,97882644,98614254,98679577,99192020,99294537,99450015,99706309,...,2888729533215016481089502248187462799359624803051143535418487593419364869768245491419031509911660080662793745804767214970262685605912698801357817822243055534504324986674918684098685014597706273144580951483222753530005968712881159037281038924572875382651231380104304077114938817012227963223225753326955307912254406994763188419360995958950053804550841219600586664360381164746894608930960256906184101737167503246453443404777225788127020334078840520027209805425502270906496597428191269019488236686071430980920527912920630128790453804916453783343409959042020403657442558491800678654264719011696169549063489121345022078582846395774651249386311612420619046702255495546691897557632792671746587313471089870325258053266170123538861584561021004561409393997584884041984312164038580689691148166826915149640963108415719836815999484561578741646070404648922176327515704887827578357722865041178165576818151536966075476157853207984718680283178667005289734342386094352301296310471761317081536731328031482252031571485220994795916103907342075973593209504200477473815778134337475656361401735247702680350846415460064713288149534021509498232748810504286411693493629000459099536227819010710806706189887705095790152820261670631403790586568217732075468489967801011273469111447444183235647159059641653461358847266004901685893855267067067311823189020823949702056462983229066255160471363940294682163188713281557674123593761243662739672916787199512961304378902860918285921148098687226207562523084024680692886531938376209626099277044126319551782743471401219652972885424825898281719112571392622866056130754889402927286294516616521263146559855246095192930703542241844138578774087473117514220317837722819686473906048527877022819750001676908785095516076273604298154167091042278487730791640213466273370974987199951445259321072395178221460200186957809872239719351155997289181711534227563598003934426920268652153318986789522852507493034283332626830998782010067707427592579758662537889507401194115544207022618722862998693480621320033527237814520679089725154201802931506854729174435982463666951335099770008309042930019346608199564395361723063465325894993360081222721003478008707581565249159797593622773025651344776193053177708279985571412227646465904866315435682968301826184828767558992765509014517842714064153986292456461438638887504686248516277482191486863899538046729835848653078677694539212769002008274242725331280039749170490481883451391713162761483739598983008542842536678005734296905022926689712988294375115471818774692656596192067188773884161842114899364770743125321096759049907118057935592478842232929994898599653655357631764826455476155383121857282231055730632495303760129373693237710276281070592515347632931387825926471116719261955942239650028433621445149645608389789198583071947985417940828112120006163770078351110209232042379496951189167733592646469403456583259337030443293873171572542506564747149860155731342955884811985110607934150303598003578345347709433533892671505065736816154508322321700984381557913329437009311437810123850702133913782812897944815995677483892920768635676215707455548683136661436761230509294550675260719087709453290149341045353537752862593692935449917568029554008798068905259356878032170392547652916010880589601611898210250399294335342570227734435572318221823384583633607140859081013490423009395272464209189359547604780395390556186394960049123726143094269619131509388863541140553477593436335798494674618911923260288642288772507872593487250996437743376056265553599001666928312428175736785221969193115070150114094784130574756604448058426424445541829958880496854361045791807904745206582212808224677152679485424881793400370637142273443147844945506927662181474551401169209397203586124910278496112793740048705129218890430298104682390719954761157937235920097173575024358686322508098118563482756805723958977109207217973779990557527363803512713165395401811716798014680694411334214227051964605714250527751645295649766022306882614349523124785571550603461612800066947722320824013061209564494503633445556224758226073416754156521602312336720936619818335183119830436855168119112321019441143514316516084281143538984627967315939690177653889859499942392295892895737403032543729614279340881935420546713352176810431301987259791348685168623460995620025709307963697856409628626381735827990718184950519600996011959031235183875626785074146118653901213573542448463704441301365371447964934919143594596915180813105914845361847463338952203363058537091980689734227158827831475292922331061402169831041789799904072637621838053213609244247623924984729299293127391319288134998772809519929374746222852617577823105561566636639594689391842615509470114585692010648777712284656984250786292091433743202778920667469191885600935651916393852969159214260813570849377309971916880820810738498175817965676320004602125617111035479314533066520610356724946625531215413331638060608106386436712203060355068356650458700829334}
30600 1762098703169157146638739146389967889135823614107838545997684335397651254343895211317079: {214151,305930,367116,703271,1252919,1313951,1435991,1862879,2167559,2323852,2505674,2532911,3141191,3262751,3323519,3603602,3991439,4158472,4522732,4597799,4678281,5255116,5263871,5430602,5989391,6160394,6412079,6525074,7075511,7982354,8181772,8347521,8399471,8519639,8879951,9044872,9073802,9299951,9643372,9937525,10019039,10021384,10163954,10175481,10497791,10856519,11274057,11752079,11772145,11925030,11990591,12563116,12645839,12720032,13002839,13240679,13894079,13953431,14072111,14126574,14310036,14665031,14783519,15138791,15234194,15316319,15478252,15595274,16261919,16817350,17146559,17617631,18499511,19203719,19555391,19893909,20140871,20180820,20433311,20975822,21484439,21526208,21717671,21892511,23471116,23665672,23683225,23739681,23752991,24158879,24216984,24217994,24278505,24638344,24969479,25124584,25547519,25897072,26067071,26240111,26623881,27244107,27564359,27718137,27786314,27794231,27816172,28261525,28265157,28419870,28655111,28769759,28854002,29134206,29243049,29965460,29971631,30143039,30314528,30485639,30542711,30630602,30954472,31017385,31397831,31568639,32932511,33095397,33154345,33593452,33913830,34103844,34173002,34235231,34314316,34461359,34823781,35232914,35308199,35646431,35759111,35843361,35958552,36174752,36322031,36938577,37220862,37781879,37983705,38005991,38173991,39107649,39682024,39785214,40453371,40513034,40515952,40650472,40696596,40789132,40852199,41130119,41629871,41796311,42184391,42350591,42807800,42848759,42966002,43421497,43622399,44284271,44310550,44642277,45092716,45411914,45494711,45580446,45685705,45731781,45824159,45933911,46193865,46455784,46556725,46782561,46974959,47363350,47365989,48158775,48198602,48231311,49102799,49273456,49352785,49385932,49700759,49935602,50026511,50243519,50976074,51369360,51380711,51488831,52092865,52136879,52262757,52361354,53106791,53172660,53751959,53913071,54119989,54235079,54793984,54822846,54878231,55094092,55125002,55146472,55155385,55359839,55432638,55693525,55806316,55868070,55894199,56481071,56640959,56717504,56836020,57013751,57120191,57279791,57331875,57592405,57790530,57917471,57970559,58606991,58652332,58871831,59223342,59400911,59506631,59592608,60073612,60625088,60825431,60967154,61154000,61246391,61456679,61643232,61820857,62030710,62039781,62114241,62511438,62663351,62677514,62820431,63042385,63807192,63813599,63857049,63955801,64595639,64725194,64907951,65375879,65740264,66186462,66758305,66832230,66930959,67041684,67189439,67396079,67654199,68118311,68143624,68203224,68224849,68633231,68798250,69089377,69110886,69348636,69660671,69821714,70255141,70326791,70331317,71042639,71287712,71348951,71501999,71783091,72813292,73231511,73384800,73518316,73637111,73875602,73945525,73957797,73991591,74244551,74288929,74295119,74436852,74901311,75304799,75506351,75650862,75834745,76230794,76562399,76661577,76662791,76728627,77049897,77264471,77314270,77614919,77764991,77864999,78277120,78663911,78763631,79112399,79261751,79361279,79740921,79917554,80109966,80198676,80404391,80553119,80998871,81641591,82036439,82557900,83023369,83267039,83623561,84002999,84296879,84357385,84584594,85356505,85400584,85713239,85761959,86783231,86928839,87462119,87558316,87752591,87790261,88061760,88315510,88615300,88734630,89393159,89569689,90060550,90113999,90545639,90641471,90785159,91001694,91202834,91215791,91365430,91502519,91550279,92218079,92566504,92777124,92820014,93833351,93834002,93932544,94637519,94650272,94818314,95486471,95627711,95768879,95815919,95905672,96075657,96191951,96801911,97363751,97464070,97504031,98089994,98699110,98902871,99069480,99460391,99738719,99970439,...,4333094299822524721634253372281194199039437204576715303127731390129047304652368237128547264867490120994190618707150822455394028408869048202036726733364583301756487480012378026148027521896559409716871427224834130295008953069321738555921558386859313073976847070156456115672408225518341944834838629990432961868381610492144782629041493938425080706826261829400879996540571747120341913396440385359276152605751254869680165107165838682190530501118260780040814708138253406359744896142286903529232355029107146471380791869380945193185680707374680675015114938563030605486163837737701017981397078517544254323595233682017533117874269593661976874079467418630928570053383243320037846336449189007619880970206634805487887079899255185308292376841531506842114090996377326062976468246057871034536722250240372724461444662623579755223999226842368112469105606973383264491273557331741367536584297561767248365227227305449113214236779811977078020424768000507934601513579141528451944465707641975622305096992047223378047357227831492193874155861013113960389814256300716210723667201506213484542102602871554020526269623190097069932224301032264247349123215756429617540240443500688649304341728516066210059284831557643685229230392505947105685879852326598113202734951701516910203667171166274853470738589462480192038270899007352528840782900600600967734783531235924553084694474843599382740707045910442023244783069922336511185390641865494109509375180799269441956568354291377428881722148030839311343784626037021039329797907564314439148915566189479327674115207101829479459328137238847422578668857088934299084196132334104390929441774924781894719839782869142789396055313362766207868161131209676271330476756584229529710859072791815534229625002515363177643274114410406447231250636563417731596187460320199410056462480799927167888981608592767332190300280436714808359579026733995933772567301341345397005901640380402978229978480184284278761239551424998940246498173015101561141388869637993806834261101791173316310533928084294498040220931980050290856721781018634587731302704397260282093761653973695500427002649655012463564395029019912299346593042584595197988842490040121834081505217013061372347873739696390434159538477017164289579766562419978357118341469698857299473153524452452739277243151338489148263521776764071096230979438684692157958331257029372774416223287230295849307070094753772979618016541808819153503012411364087996920059623755735722825177087569744142225609398474512814263805017008601445357534390034569482441562673207728162038984894288100783160826242763172349047156114687981645138574860677086903388718263349394992347899480483036447647239683214233074682785923346583595948742955640194060539856565414421605888773021449397081738889706675078892933913359475042650432167724468412584683797874607921978126911242168180009245655117526665313848063569245426783751600388969704105184874889005545664940809757358813759847120724790233597014433827217977665911901225455397005367518021564150300839007257598605224231762483482551476572336869994155513967156715185776053200870674219346917223993516225839381152953514323561183323024704992155141845763941826012891078631564179935224011568030306629293890539403174876352044331013197103357889035317048255588821479374016320884402417847315375598941503013855341601653358477332735076875450410711288621520235634514092908696313784039321407170593085834279592440073685589214641404428697264083295311710830216390154503697742011928367884890432963433158761808890230876494656615064084398330398502500392468642263605177832953789672605225171142176195862134906672087639636668312744938320745281541568687711857117809873319212337015729019228137322690100555955713410164721767418260391493272211827101753814095805379187365417744169190610073057693828335645447157023586079932141736905853880145760362536538029483762147177845224135208585938465663810826960669985836291045705269069748093102717575197022021041617001321340577946908571375791627467943474649033460323921524284687178357325905192419200100421583481236019591814346741755450168334337137339110125131234782403468505081404929727502774679745655282752178668481529161715271474774126421715308476941950973909535266480834789249913588443839343606104548815594421419011322903130820070028265215646952980889687023027752935191493430038563961945546784614442939572603741986077277425779401494017938546852775813440177611219177980851820360313672695556661952048057171947402378715391895372771219658872268042771195008428305044587805637971034601340738241747212939383496592103254746562684699856108956432757079820413866371435887477093948939691086978932202498159214279894062119334278926366734658342349954959392034087763923264205171878538015973166568426985476376179438137150614804168381001203787828401403477874590779453738821391220356274065964957875321231216107747263726948514480006903188425666553218971799599780915535087419938296823119997457090912159579655068304590532602534975688051244001}
30601 1767519843722450265959612161510442582603724436769956961082764771974570331099322706931463: {458895,489488,550674,2904815,3485778,3638663,3758511,4372511,5198090,5405403,5653415,6237708,6568895,6784098,7399634,7882674,7914263,8145903,8768711,9240591,9787611,10227215,10420619,11130028,11306090,11520743,11973531,12054215,12272658,12314471,12435071,12526730,13354283,13567308,13610703,14465058,15032076,15245931,15703895,15900040,16101431,16834703,17887545,18835432,18844674,19080048,19347815,19496642,20484959,20707463,20839874,21189861,21465054,21558551,21984011,22659938,22851291,23039978,23217378,23392911,23415743,23897138,24505151,24950363,25226025,26525212,26706818,26907760,27085163,28167191,29338895,29347979,29582090,30125258,30271230,30742703,30797930,31332743,31405730,31463733,31652908,32289312,32325074,32371340,32536031,34721771,34758863,34770215,35206674,35451458,35498508,35569163,36325476,36326991,36957516,37318658,37456825,37686876,37893160,38069663,38449151,38693090,38802359,38845608,38990732,39626642,40648811,41679471,41724258,41991815,42315983,42629805,42815351,42892895,43114274,43281003,43701309,44127196,44648018,44948190,45218440,45471792,45945903,46431708,47579762,47667554,47791148,47944736,48253163,49251436,49602530,49627816,50139431,50390178,50644940,50813090,50870745,50986415,51155766,51259503,51471474,51563663,51977378,52143532,52849371,53024642,53046952,53069063,53509750,53801471,53937828,54262128,54555611,54909122,55013258,55021343,55831293,56365895,57522731,57692519,58069730,59523036,59625671,59677821,60769551,60773928,60975708,61044894,61183698,61591820,61732415,62109671,62376748,63154652,64211700,64449003,65067794,65416943,66003698,66465825,66525899,67639074,68117871,68370669,68492480,68867615,68933090,69014711,69683676,69757895,69859463,70570058,70896880,71045025,72297903,72597962,73097128,73315415,73910184,74078898,74490251,74490760,74672459,74725511,74903403,75092015,75602063,75723338,75781360,76385783,76442500,76464111,77054040,77831351,78542031,78616343,78964456,79758990,79993631,80105111,80995691,81209663,82175330,82190976,82234269,82313282,82356191,82641138,82687503,82719708,82818988,82823138,83148957,83348584,83709474,83764271,83802105,83917463,85076256,85142732,85179530,85254030,86685795,87306539,87423431,87844571,87978498,88248616,88835013,89109640,89388912,90110418,90380939,90937632,91010903,91016615,91417991,91450731,91731000,91897895,92147848,92271818,92363711,92464848,93046065,93113042,93550031,93767157,93809258,94016271,94028738,94345691,95077151,95398439,95710788,96187538,96408263,97087791,97239191,97281131,97846400,98610396,99249136,99279693,99712871,...,5777459066430032962179004496374925598719249606102287070836975186838729739536490982838063019823320161325587491609534429940525371211825397602715635644486111069008649973349837368197370029195412546289161902966445507060011937425762318074562077849145750765302462760208608154229877634024455926446451506653910615824508813989526376838721991917900107609101682439201173328720762329493789217861920513812368203474335006492906886809554451576254040668157681040054419610851004541812993194856382538038976473372142861961841055825841260257580907609832907566686819918084040807314885116983601357308529438023392339098126978242690044157165692791549302498772623224841238093404510991093383795115265585343493174626942179740650516106532340247077723169122042009122818787995169768083968624328077161379382296333653830299281926216831439673631998969123157483292140809297844352655031409775655156715445730082356331153636303073932150952315706415969437360566357334010579468684772188704602592620943522634163073462656062964504063142970441989591832207814684151947186419008400954947631556268674951312722803470495405360701692830920129426576299068043018996465497621008572823386987258000918199072455638021421613412379775410191580305640523341262807581173136435464150936979935602022546938222894888366471294318119283306922717694532009803371787710534134134623646378041647899404112925966458132510320942727880589364326377426563115348247187522487325479345833574399025922608757805721836571842296197374452415125046168049361385773063876752419252198554088252639103565486942802439305945770849651796563438225142785245732112261509778805854572589033233042526293119710492190385861407084483688277157548174946235028440635675445639372947812097055754045639500003353817570191032152547208596308334182084556975461583280426932546741949974399902890518642144790356442920400373915619744479438702311994578363423068455127196007868853840537304306637973579045705014986068566665253661997564020135414855185159517325075779014802388231088414045237445725997386961242640067054475629041358179450308403605863013709458348871964927333902670199540016618085860038693216399128790723446126930651789986720162445442006956017415163130498319595187245546051302689552386106355416559971142824455292931809732630871365936603652369657535117985531018029035685428128307972584912922877277775009372497032554964382973727799076093459671697306157355389078425538004016548485450662560079498340980963766902783426325522967479197966017085685073356011468593810045853379425976588750230943637549385313192384134377547768323684229798729541486250642193518099814236115871184957684465859989797199307310715263529652910952310766243714564462111461264990607520258747386475420552562141185030695265862775651852942233438523911884479300056867242890299291216779578397166143895970835881656224240012327540156702220418464084758993902378335467185292938806913166518674060886587746343145085013129494299720311462685911769623970221215868300607196007156690695418867067785343010131473632309016644643401968763115826658874018622875620247701404267827565625795889631991354967785841537271352431414911097366273322873522461018589101350521438175418906580298682090707075505725187385870899835136059108017596137810518713756064340785095305832021761179203223796420500798588670685140455468871144636443646769167267214281718162026980846018790544928418378719095209560790781112372789920098247452286188539238263018777727082281106955186872671596989349237823846520577284577545015745186974501992875486752112531107198003333856624856351473570443938386230140300228189568261149513208896116852848891083659917760993708722091583615809490413164425616449354305358970849763586800741274284546886295689891013855324362949102802338418794407172249820556992225587480097410258437780860596209364781439909522315874471840194347150048717372645016196237126965513611447917954218414435947559981115054727607025426330790803623433596029361388822668428454103929211428501055503290591299532044613765228699046249571143101206923225600133895444641648026122419128989007266891112449516452146833508313043204624673441873239636670366239660873710336238224642038882287028633032168562287077969255934631879380355307779718999884784591785791474806065087459228558681763870841093426704353620862603974519582697370337246921991240051418615927395712819257252763471655981436369901039201992023918062470367751253570148292237307802427147084896927408882602730742895929869838287189193830361626211829690723694926677904406726117074183961379468454317655662950585844662122804339662083579599808145275243676106427218488495247849969458598586254782638576269997545619039858749492445705235155646211123133273279189378783685231018940229171384021297555424569313968501572584182867486405557841334938383771201871303832787705938318428521627141698754619943833761641621476996351635931352640009204251234222070958629066133041220713449893251062430826663276121216212772873424406120710136713300917401658668}
30602 1772957566236728499953432609263313668675458984567606647318235111306905430991292450959916: {428302,611860,734232,826011,1314037,1406542,2228617,2505838,2627902,2871982,3323737,3725758,4335118,4647704,5011348,5065822,5228667,6050197,6282382,6412501,6525502,6647038,7207204,7797135,7982878,8316944,8580277,9045464,9195598,9356562,10019701,10176147,10510232,10527742,10558297,10861204,11099451,11454517,11824011,11978782,12320788,12706201,12824158,13050148,13063177,13912535,13954357,14151022,15021397,15964708,16363544,16481003,16695042,16798942,16959135,17039278,17759902,18089744,18147604,18383257,18408987,18559477,18599902,18790095,19263637,19286744,19875050,20038078,20042768,20327908,20350962,20995582,21697587,21713038,22068757,22418101,22548114,22941577,23504158,23544290,23850060,23981182,25126232,25291678,25440064,26005678,26481358,27278677,27788158,27906862,28144222,28253148,28267011,28620072,29244963,29330062,29344501,29567038,30202201,30277582,30468388,30544777,30632638,30956504,31190548,31259811,32197581,32523838,33156515,33275017,33634700,33989907,34293118,34559967,34826067,35235262,35310601,35648857,35845707,36999022,37840501,38407438,39110782,39566135,39787818,40060227,40281742,40354201,40361640,40464175,40866622,41521717,41688217,41951644,42851701,42968878,43052416,43424339,43435342,43785022,44373135,44838037,45187887,45406845,45827317,46196895,46416083,46942232,47108595,47331344,47366450,47479362,47505982,48289177,48317758,48433968,48435988,48487611,48557010,48738415,48942937,49276688,49758517,49938958,50249168,50734837,51095038,51546457,51794144,52134142,52480222,52679701,52810011,53177187,53247762,53809417,53970517,54488214,55128718,55158995,55417177,55436274,55572628,55588462,55632344,55977987,56523050,56530314,56839740,57177397,57310222,57496501,57539518,57708004,57974617,58039635,58268412,58486098,58611097,59439963,59563657,59738935,59930920,59943262,60286078,60629056,60971278,61085422,61261204,61564295,61908944,62034770,62586387,62795662,63137278,63306175,63818101,63959987,64671411,64912537,65179415,65865022,66190794,66308690,66972027,67186904,67245877,67422285,67827660,68207688,68346004,68470462,68628632,68922718,69093899,69647562,70331797,70465828,70616398,70792201,71292862,71369643,71501331,71518222,71558101,71686722,71917104,72349504,72644062,72930011,73877154,74300437,74403795,74441724,74906677,75563758,75585267,75813877,75967410,76011982,76219635,76347982,76733649,76989775,77207211,77217539,77920597,77966067,77970935,78215298,78943315,79118101,79364048,79536963,79570428,80264625,80629367,80906742,81026068,81031904,81300944,81393192,81578264,81704398,82091701,82260238,82363683,82519887,83028803,83259742,83273077,83592622,84303001,84368782,84701182,85040131,85615600,85697518,85768201,85932004,86842994,87104595,87244798,87796007,88259339,88568542,88621100,89284554,90185432,90552277,90823828,90839701,90989422,91126837,91160892,91371410,91463562,91557001,91567341,91648318,91775547,91867822,92272501,92387730,92911568,93113450,93461627,93565122,93949918,94726700,94731978,94833397,95116501,95540617,95553125,95823001,96246037,96317550,96397204,96462622,96527701,97140703,97601691,98118527,98205598,98211637,98546912,98705570,98771864,99005547,99401518,99746137,99871204,...,8666188599645049443268506744562388398078874409153430606255462780258094609304736474257094529734980241988381237414301644910788056817738096404073453466729166603512974960024756052296055043793118819433742854449668260590017906138643477111843116773718626147953694140312912231344816451036683889669677259980865923736763220984289565258082987876850161413652523658801759993081143494240683826792880770718552305211502509739360330214331677364381061002236521560081629416276506812719489792284573807058464710058214292942761583738761890386371361414749361350030229877126061210972327675475402035962794157035088508647190467364035066235748539187323953748158934837261857140106766486640075692672898378015239761940413269610975774159798510370616584753683063013684228181992754652125952936492115742069073444500480745448922889325247159510447998453684736224938211213946766528982547114663482735073168595123534496730454454610898226428473559623954156040849536001015869203027158283056903888931415283951244610193984094446756094714455662984387748311722026227920779628512601432421447334403012426969084205205743108041052539246380194139864448602064528494698246431512859235080480887001377298608683457032132420118569663115287370458460785011894211371759704653196226405469903403033820407334342332549706941477178924960384076541798014705057681565801201201935469567062471849106169388949687198765481414091820884046489566139844673022370781283730988219018750361598538883913136708582754857763444296061678622687569252074042078659595815128628878297831132378958655348230414203658958918656274477694845157337714177868598168392264668208781858883549849563789439679565738285578792110626725532415736322262419352542660953513168459059421718145583631068459250005030726355286548228820812894462501273126835463192374920640398820112924961599854335777963217185534664380600560873429616719158053467991867545134602682690794011803280760805956459956960368568557522479102849997880492996346030203122282777739275987613668522203582346632621067856168588996080441863960100581713443562037269175462605408794520564187523307947391000854005299310024927128790058039824598693186085169190395977684980080243668163010434026122744695747479392780868319076954034328579159533124839956714236682939397714598946307048904905478554486302676978296527043553528142192461958877369384315916662514058745548832446574460591698614140189507545959236033083617638307006024822728175993840119247511471445650354175139488284451218796949025628527610034017202890715068780069138964883125346415456324077969788576201566321652485526344698094312229375963290277149721354173806777436526698789984695798960966072895294479366428466149365571846693167191897485911280388121079713130828843211777546042898794163477779413350157785867826718950085300864335448936825169367595749215843956253822484336360018491310235053330627696127138490853567503200777939408210369749778011091329881619514717627519694241449580467194028867654435955331823802450910794010735036043128300601678014515197210448463524966965102953144673739988311027934313430371552106401741348438693834447987032451678762305907028647122366646049409984310283691527883652025782157263128359870448023136060613258587781078806349752704088662026394206715778070634096511177642958748032641768804835694630751197883006027710683203306716954665470153750900821422577243040471269028185817392627568078642814341186171668559184880147371178429282808857394528166590623421660432780309007395484023856735769780865926866317523617780461752989313230128168796660797005000784937284527210355665907579345210450342284352391724269813344175279273336625489876641490563083137375423714235619746638424674031458038456274645380201111911426820329443534836520782986544423654203507628191610758374730835488338381220146115387656671290894314047172159864283473811707760291520725073076058967524294355690448270417171876931327621653921339971672582091410538139496186205435150394044042083234002642681155893817142751583254935886949298066920647843048569374356714651810384838400200843166962472039183628693483510900336668674274678220250262469564806937010162809859455005549359491310565504357336963058323430542949548252843430616953883901947819070532961669578499827176887678687212209097631188842838022645806261640140056530431293905961779374046055505870382986860077127923891093569228885879145207483972154554851558802988035877093705551626880355222438355961703640720627345391113323904096114343894804757430783790745542439317744536085542390016856610089175611275942069202681476483494425878766993184206509493125369399712217912865514159640827732742871774954187897879382173957864404996318428559788124238668557852733469316684699909918784068175527846528410343757076031946333136853970952752358876274301229608336762002407575656802806955749181558907477642782440712548131929915750642462432215494527453897028960013806376851333106437943599199561831070174839876593646239994914181824319159310136609181065205069951376102488002}
30603 1778411921139079244779916363734870260445469671043197449474895819428338616350989627087671: {642453,764825,917790,978976,1101348,2109813,3758757,3941853,4066741,4307973,5167513,5588637,5809630,6264185,6502677,6971556,7277326,7517022,7598733,7914781,8745022,9009005,9196453,9423573,9788253,9970557,10396180,10810806,11306830,11974317,12315277,12475416,13137790,13568196,13576505,13793397,14034843,14318101,14695993,14799268,15064601,15400985,15765348,15791613,15828526,16164653,16291806,16312685,16875901,17537422,17804237,17968173,17995717,18481182,19236237,19575222,19955885,20454430,20841238,21226533,21985453,22260056,22612180,22684505,23041486,23947062,24108430,24209497,24400661,24545316,24628942,24870142,25042563,25053460,25198413,25409885,25558917,26639853,26708566,27086941,27134616,27221406,27854717,27899853,28798277,28930116,28960633,29812575,30057117,30064152,30491862,30526443,31407790,31493373,31800080,32202862,32569557,33669406,33822171,33875501,35256237,35316435,35775090,35971773,37670864,37689348,37937517,38085485,38160096,38451673,38695630,38848141,38988185,38993284,39008517,39722037,40695157,40969918,41074453,41414926,41679748,41682237,41794201,41860293,42043375,42216333,42379722,42930108,43117102,43968022,43995093,44350557,45319876,45416373,45702582,45948957,46079956,46141961,46434756,46785822,46831486,47794276,48678301,48785757,49010302,49821197,49900726,50452050,51439677,52439555,52852893,53050424,53413636,53815520,54170326,55498533,56334382,56425933,57611157,58218773,58666173,58677790,58695958,58788541,59164180,59681727,60050053,60250516,60422613,60542460,60544985,61299933,61485406,61595860,62415077,62665486,62811460,62927466,63305816,64453317,64474813,64578624,64650148,64742680,65072062,65153013,65677533,66296057,67394381,69443542,69465785,69517726,69540430,70413348,70902916,70915721,70997016,71049675,71138326,71219043,71258973,71380981,72135005,72476637,72650952,72653982,72835515,73391837,73915032,74637316,74677357,74908437,74913650,75373752,75786320,76139326,76576505,76642557,76898302,77386180,77604718,77691216,77981464,78201213,78621517,78720333,78912253,79183733,79253284,79871643,81297622,81732321,82361593,82693077,83154411,83358942,83382693,83448516,83771501,83983630,84568181,84631966,84784575,84795471,85259610,85432505,85630702,85666073,85785790,85965333,86228548,86309277,86425381,86562006,87402618,87729147,87850333,88033933,88082285,88254392,88759301,89296036,89725757,89896380,89914893,90429117,90436880,90763741,90943584,91456917,91628133,91742837,91891806,92863416,93052155,94193493,94539101,94705917,95159524,95335108,95345357,95582296,95889472,96414661,96506326,97287517,97661053,98502872,98797533,99205060,99255632,99286191,99463035,...,12999282899467574164902760116843582597118311613730145909383194170387141913957104711385641794602470362982571856121452467366182085226607144606110180200093749905269462440037134078444082565689678229150614281674502390885026859207965215667764675160577939221930541210469368347017224676555025834504515889971298885605144831476434347887124481815275242120478785488202639989621715241361025740189321156077828457817253764609040495321497516046571591503354782340122444124414760219079234688426860710587697065087321439414142375608142835579557042122124042025045344815689091816458491513213103053944191235552632762970785701046052599353622808780985930622238402255892785710160149729960113539009347567022859642910619904416463661239697765555924877130524594520526342272989131978188929404738173613103610166750721118173384333987870739265671997680527104337407316820920149793473820671995224102609752892685301745095681681916347339642710339435931234061274304001523803804540737424585355833397122925926866915290976141670134142071683494476581622467583039341881169442768902148632171001604518640453626307808614662061578808869570291209796672903096792742047369647269288852620721330502065947913025185548198630177854494672931055687691177517841317057639556979794339608204855104550730611001513498824560412215768387440576114812697022057586522348701801802903204350593707773659254083424530798148222121137731326069734349209767009533556171925596482328528125542397808325869705062874132286645166444092517934031353878111063117989393722692943317446746698568437983022345621305488438377984411716542267736006571266802897252588397002313172788325324774345684159519348607428368188165940088298623604483393629028813991430269752688589132577218375446602688875007546089532929822343231219341693751909690253194788562380960598230169387442399781503666944825778301996570900841310144425078737080201987801317701904024036191017704921141208934689935440552852836283718654274996820739494519045304683424166608913981420502783305373519948931601784252883494120662795940150872570165343055903763193908113191780846281284961921086501281007948965037390693185087059736898039779127753785593966527470120365502244515651039184117043621219089171302478615431051492868739299687259935071355024409096571898419460573357358217831729454015467444790565330292213288692938316054076473874993771088118323248669861690887547921210284261318938854049625426457460509037234092263990760178871267207168475531262709232426676828195423538442791415051025804336072603170103708447324688019623184486116954682864302349482478728289517047141468344063944935415724582031260710166154790048184977043698441449109342941719049642699224048357770039750787846228866920582181619569696243264817666319064348191245216669120025236678801740078425127951296503173405237754051393623823765934380733726504540027736965352579995941544190707736280351254801166909112315554624667016636994822429272076441279541362174370700791043301481653932997735703676366191016102554064692450902517021772795815672695287450447654429717010609982466541901470145557328159602612022658040751671980548677518143458860542970683549969074114976465425537291825478038673235894692539805672034704090919887881671618209524629056132993039591310073667105951144766766464438122048962653207253541946126796824509041566024804960075431998205230626351232133865864560706903542278726088941352117964221511779257502838777320221056767643924213286091792249885935132490649170463511093226035785103654671298890299476285426670692629483969845192253194991195507501177405926790815533498861369017815675513426528587586404720016262918910004938234814962235844624706063135571353429619957637011047187057684411968070301667867140230494165302254781174479816635481305261442287416137562096253232507571830219173081485006936341471070758239796425210717561640437281087609614088451286441533535672405625757815396991432480882009957508873137115807209244279308152725591066063124851003964021733840725714127374882403830423947100380971764572854061535071977715577257600301264750443708058775443040225266350505003011412017330375393704347210405515244214789182508324039236965848256536005444587485145814424322379265145925430825852921728605799442504367749740765331518030818313646446783264257033968709392460210084795646940858942669061069083258805574480290115691885836640353843328818717811225958231832277338204482053815640558327440320532833657533942555461080941018086669985856144171515842207136146175686118313658976616804128313585025284915133763416913913103804022214725241638818150489776309764239688054099568326869298271239461241599114307662431281846819073260936796607494477642839682186358002836779100203975027049864878176102263291769792615515635614047919499705280956429128538314411451844412505143003611363485204210433623772338361216464173661068822197894873625963693648323241791180845543440020709565276999659656915398799342746605262259814890469359992371272736478738965204913771597807604927064153732003}
30604 1783882959009055793198428616434865189175135134418963197953755702193267393188750089783790: {336523,856604,1223720,1376685,1436179,1468464,1652022,2628074,2813084,3263179,3445483,4173979,4457234,5011676,5255804,5264563,5743964,6647474,7451516,7799179,7979683,8520763,8670236,8714445,9295408,9421123,10022696,10131644,10457334,10915989,11275533,12100394,12111403,12564764,12825002,12995225,13051004,13117533,13294076,13361323,14073979,14414408,14785483,15594270,15965756,16216209,16633888,16736179,16960245,17160554,17796523,18090928,18391196,18499085,18713124,19477549,19706685,20039402,20260579,20352294,20436043,21020464,21055484,21116594,21722408,22198902,22909034,23648022,23742789,23957564,24437709,24641576,25412402,25648316,25666483,26100296,26126354,26185963,26306133,26358979,27721773,27825070,27908714,27912883,28265225,28302044,28773643,29362833,30042794,30489763,30681645,31261857,31316825,31929416,32539603,32727088,32962006,33390084,33597884,33900403,33918270,34078556,34562229,34748563,35087323,35519804,35763979,35920593,36162645,36179488,36295208,36766514,36817974,36943413,37118954,37199804,37305213,37450579,37580190,38123203,38291179,38527274,38573488,39750100,39799723,40062849,40076156,40085536,40134163,40655816,40701924,40832109,41991164,42301003,43131163,43395174,43426076,44137514,44836202,45096228,45610843,45737793,45883154,45940243,46419121,47008316,47088580,47111685,47700120,47962364,48304293,48741605,50033443,50252464,50504109,50583356,50880128,51495979,52011356,52099685,52144123,52962716,53662635,54557354,54564403,54725179,55392589,55576316,55813724,56288444,56488963,56506296,56534022,56649845,57128179,57240144,57599945,58043445,58489926,58660124,58689002,58880083,59134076,59514979,59742845,60148723,60404402,60555164,60936776,60939283,61089554,61265276,61454877,61913008,62122389,62381096,62519622,63569583,64395162,64675653,65021179,65047676,65952033,66313030,66550034,66767045,67269400,67508923,67979814,68233781,68282563,68553873,68586236,68745883,69119934,69652134,70178733,70247229,70470524,70621202,71297714,71691414,73343443,73515453,73955225,73998044,74255179,74406883,74851089,75012979,75313145,75617923,75678075,75681002,76673803,76814876,76994825,77222593,77275579,77876203,78221564,78514325,78774979,79132270,79372723,79575636,80120454,80416003,80563484,80708402,80723280,80812685,80928350,81255489,81733244,81752179,83043434,83376434,83377363,83634509,83903288,84501573,85045697,85703402,85937756,86104832,86190013,86848678,86870684,86892979,87570044,88016685,88043937,88628645,88746270,89676074,90375774,90654763,90813690,91251181,91654634,92228109,92393790,92660179,92802883,92832166,93296645,93884464,93941923,93998229,94217190,94391199,94662688,94732900,94958724,95011964,95500579,96578354,96635516,96732725,96867936,96871976,96975222,97050523,97114020,97147061,97476830,97608093,97611979,97752163,97885874,98124949,98553376,99010579,99066605,99517034,99568003,99877916,...,17332377199290098886537013489124776796157748818306861212510925560516189218609472948514189059469960483976762474828603289821576113635476192808146906933458333207025949920049512104592110087586237638867485708899336521180035812277286954223686233547437252295907388280625824462689632902073367779339354519961731847473526441968579130516165975753700322827305047317603519986162286988481367653585761541437104610423005019478720660428663354728762122004473043120163258832553013625438979584569147614116929420116428585885523167477523780772742722829498722700060459754252122421944655350950804071925588314070177017294380934728070132471497078374647907496317869674523714280213532973280151385345796756030479523880826539221951548319597020741233169507366126027368456363985509304251905872984231484138146889000961490897845778650494319020895996907369472449876422427893533057965094229326965470146337190247068993460908909221796452856947119247908312081699072002031738406054316566113807777862830567902489220387968188893512189428911325968775496623444052455841559257025202864842894668806024853938168410411486216082105078492760388279728897204129056989396492863025718470160961774002754597217366914064264840237139326230574740916921570023788422743519409306392452810939806806067640814668684665099413882954357849920768153083596029410115363131602402403870939134124943698212338777899374397530962828183641768092979132279689346044741562567461976438037500723197077767826273417165509715526888592123357245375138504148084157319191630257257756595662264757917310696460828407317917837312548955389690314675428355737196336784529336417563717767099699127578879359131476571157584221253451064831472644524838705085321907026336918118843436291167262136918500010061452710573096457641625788925002546253670926384749841280797640225849923199708671555926434371069328761201121746859233438316106935983735090269205365381588023606561521611912919913920737137115044958205699995760985992692060406244565555478551975227337044407164693265242135712337177992160883727920201163426887124074538350925210817589041128375046615894782001708010598620049854257580116079649197386372170338380791955369960160487336326020868052245489391494958785561736638153908068657158319066249679913428473365878795429197892614097809810957108972605353956593054087107056284384923917754738768631833325028117491097664893148921183397228280379015091918472066167235276614012049645456351987680238495022942891300708350278976568902437593898051257055220068034405781430137560138277929766250692830912648155939577152403132643304971052689396188624458751926580554299442708347613554873053397579969391597921932145790588958732856932298731143693386334383794971822560776242159426261657686423555092085797588326955558826700315571735653437900170601728670897873650338735191498431687912507644968672720036982620470106661255392254276981707135006401555878816420739499556022182659763239029435255039388482899160934388057735308871910663647604901821588021470072086256601203356029030394420896927049933930205906289347479976622055868626860743104212803482696877387668895974064903357524611814057294244733292098819968620567383055767304051564314526256719740896046272121226517175562157612699505408177324052788413431556141268193022355285917496065283537609671389261502395766012055421366406613433909330940307501801642845154486080942538056371634785255136157285628682372343337118369760294742356858565617714789056333181246843320865560618014790968047713471539561731853732635047235560923505978626460256337593321594010001569874569054420711331815158690420900684568704783448539626688350558546673250979753282981126166274750847428471239493276849348062916076912549290760402223822853640658887069673041565973088847308407015256383221516749461670976676762440292230775313342581788628094344319728566947623415520583041450146152117935048588711380896540834343753862655243307842679943345164182821076278992372410870300788088084166468005285362311787634285503166509871773898596133841295686097138748713429303620769676800401686333924944078367257386967021800673337348549356440500524939129613874020325619718910011098718982621131008714673926116646861085899096505686861233907767803895638141065923339156999654353775357374424418195262377685676045291612523280280113060862587811923558748092111011740765973720154255847782187138457771758290414967944309109703117605976071754187411103253760710444876711923407281441254690782226647808192228687789609514861567581491084878635489072171084780033713220178351222551884138405362952966988851757533986368413018986250738799424435825731028319281655465485743549908375795758764347915728809992636857119576248477337115705466938633369399819837568136351055693056820687514152063892666273707941905504717752548602459216673524004815151313605613911498363117814955285564881425096263859831501284924864430989054907794057920027612753702666212875887198399123662140349679753187292479989828363648638318620273218362130410139902752204976004}
30605 1789370730579135645798604918099075802478790681734518952694847144134921611178069771141215: {1070755,1284906,1529650,1835580,1957952,2202696,2478033,3516355,3942111,4219626,5717899,6264595,6569755,6685851,7179955,7517514,7883706,8133482,8615946,8769859,9314395,9971211,10335026,10837795,11177274,11619260,12436699,12528370,12612607,12664555,13005354,13779403,13943112,14554652,15034044,15065587,15197466,15686001,15705955,15829562,16103539,16165711,16313755,16617595,16836907,17490044,18018010,18150591,18392906,18847146,19007107,19237503,19576506,19941114,19957195,20378851,20792360,21041371,21561379,21621612,22613660,22837759,22988995,23391405,23948634,24630554,24950832,25740831,26275580,26319355,27136392,27153010,27271327,27586794,27938239,28069686,28636202,29391986,29598536,29946955,30059103,30129202,30203071,30528441,30620587,30801970,31530696,31583226,31657052,31674891,31758307,32060395,32329306,32540299,32583612,32625370,32768347,32919211,33298353,33751802,33877723,34363551,34546303,35074844,35377555,35472033,35573839,35608474,35936346,35991434,36834019,36962364,37214851,38118603,38472474,39150444,39189531,39911770,40034683,40908860,40973587,41611027,41682476,41737605,41863071,41997355,42453066,42562399,42598195,43970906,44399755,44520112,45064191,45224360,45369010,46082972,46499755,47894124,48216860,48418994,48801322,49090632,49257884,49443009,49687625,49740284,50085126,50095195,50106920,50279659,50396826,50819770,50877405,51117834,51224611,51570427,52214587,52488955,53279706,53319679,53417132,54173882,54269232,54282595,54442812,54562783,54583459,55149771,55226961,55678431,55709434,55799706,55894399,56370285,57596554,57790911,57860232,57921266,58760395,58806259,58860725,59278987,59625150,59952955,60114234,60128304,60983724,61052886,62419171,62815580,62986746,63229195,63600160,63876703,64405724,65014195,65092761,65139114,66203395,66206271,66601147,67254303,67338812,67644342,67751002,68824731,69470395,69530011,69767155,69868627,70360555,70512474,70632870,71550180,71943546,71950987,73325155,73396651,73415377,73917595,75341728,75378696,75693955,75826399,75875034,76170970,76320192,76581595,76903346,77391260,77696282,77976370,77986568,78017034,78453343,79188931,79258747,79444074,80115619,81220339,81309595,81390314,81836031,81939836,82148906,82829852,83359496,83364474,83588402,83720586,83775259,84086750,84432666,84759444,84762979,84801033,85732795,85860216,86234204,87434899,87734889,87936044,87990186,88033503,88088155,88701114,88765123,90392863,90606603,90639752,90832746,91259563,91405164,91634331,91897914,92159912,92283922,92497555,92869512,93089023,93571644,93662972,93697483,93779433,94545307,95351611,95588552,96016159,96018595,96306187,96592743,97252099,97356602,97571514,97776955,98020604,98577403,99002683,99469545,99642394,99801452,99825051,...,25998565798935148329805520233687165194236623227460291818766388340774283827914209422771283589204940725965143712242904934732364170453214289212220360400187499810538924880074268156888165131379356458301228563349004781770053718415930431335529350321155878443861082420938736694034449353110051669009031779942597771210289662952868695774248963630550484240957570976405279979243430482722051480378642312155656915634507529218080990642995032093143183006709564680244888248829520438158469376853721421175394130174642878828284751216285671159114084244248084050090689631378183632916983026426206107888382471105265525941571402092105198707245617561971861244476804511785571420320299459920227078018695134045719285821239808832927322479395531111849754261049189041052684545978263956377858809476347226207220333501442236346768667975741478531343995361054208674814633641840299586947641343990448205219505785370603490191363363832694679285420678871862468122548608003047607609081474849170711666794245851853733830581952283340268284143366988953163244935166078683762338885537804297264342003209037280907252615617229324123157617739140582419593345806193585484094739294538577705241442661004131895826050371096397260355708989345862111375382355035682634115279113959588679216409710209101461222003026997649120824431536774881152229625394044115173044697403603605806408701187415547318508166849061596296444242275462652139468698419534019067112343851192964657056251084795616651739410125748264573290332888185035868062707756222126235978787445385886634893493397136875966044691242610976876755968823433084535472013142533605794505176794004626345576650649548691368319038697214856736376331880176597247208966787258057627982860539505377178265154436750893205377750015092179065859644686462438683387503819380506389577124761921196460338774884799563007333889651556603993141801682620288850157474160403975602635403808048072382035409842282417869379870881105705672567437308549993641478989038090609366848333217827962841005566610747039897863203568505766988241325591880301745140330686111807526387816226383561692562569923842173002562015897930074781386370174119473796079558255507571187933054940240731004489031302078368234087242438178342604957230862102985737478599374519870142710048818193143796838921146714716435663458908030934889581130660584426577385876632108152947749987542176236646497339723381775095842420568522637877708099250852914921018074468184527981520357742534414336951062525418464853353656390847076885582830102051608672145206340207416894649376039246368972233909365728604698964957456579034094282936688127889870831449164062521420332309580096369954087396882898218685883438099285398448096715540079501575692457733841164363239139392486529635332638128696382490433338240050473357603480156850255902593006346810475508102787247647531868761467453009080055473930705159991883088381415472560702509602333818224631109249334033273989644858544152882559082724348741401582086602963307865995471407352732382032205108129384901805034043545591631345390574900895308859434021219964933083802940291114656319205224045316081503343961097355036286917721085941367099938148229952930851074583650956077346471789385079611344069408181839775763343236419049258112265986079182620147334211902289533532928876244097925306414507083892253593649018083132049609920150863996410461252702464267731729121413807084557452177882704235928443023558515005677554640442113535287848426572183584499771870264981298340927022186452071570207309342597780598952570853341385258967939690384506389982391015002354811853581631066997722738035631351026853057175172809440032525837820009876469629924471689249412126271142706859239915274022094374115368823936140603335734280460988330604509562348959633270962610522884574832275124192506465015143660438346162970013872682942141516479592850421435123280874562175219228176902572883067071344811251515630793982864961764019915017746274231614418488558616305451182132126249702007928043467681451428254749764807660847894200761943529145708123070143955431154515200602529500887416117550886080450532701010006022824034660750787408694420811030488429578365016648078473931696513072010889174970291628848644758530291850861651705843457211598885008735499481530663036061636627292893566528514067937418784920420169591293881717885338122138166517611148960580231383771673280707686657637435622451916463664554676408964107631281116654880641065667315067885110922161882036173339971712288343031684414272292351372236627317953233608256627170050569830267526833827826207608044429450483277636300979552619528479376108199136653738596542478922483198228615324862563693638146521873593214988955285679364372716005673558200407950054099729756352204526583539585231031271228095838999410561912858257076628822903688825010286007222726970408420867247544676722432928347322137644395789747251927387296646483582361691086880041419130553999319313830797598685493210524519629780938719984742545472957477930409827543195615209854128307464006}
30606 1794875286735180191930940672717013801391600557303474800162607786677119803417305914547419: {397709,673046,886733,1436273,1619309,1713208,1927359,2046113,2294475,2447440,2716013,2753370,2872358,2936928,2959373,3304044,3324173,3445709,4174253,4234913,4780493,5256148,5446433,5626168,6329439,6526358,6890966,7257713,8347958,8581409,8881709,8914468,9481709,10023352,10200653,10499873,10511608,10529126,10679309,11276271,11487928,11575409,11825559,12200223,12350573,12648353,12923919,13294948,14074913,14524075,14667953,14903032,15141809,15319373,15502539,15598358,15959366,16442273,16765911,17041526,17326733,17340472,17428890,17797709,18193315,18503213,18590816,18792555,18842246,19383473,19508031,19735073,20045392,20263288,20914668,21722033,21831978,21862555,21896909,22071713,22188209,22551066,22796199,22944653,23060909,23467553,23744343,24200788,24222806,25129528,25379309,25650004,25898719,25990450,26102008,26235066,26245409,26588152,26722646,27027015,27589359,27799853,28147958,28267075,28270719,28828816,28947533,29364759,29570966,29911671,30149153,30548909,30720113,31188540,31575053,31931512,32432418,32844475,33109409,33267776,33472358,33920490,33959309,34242209,34321108,35593046,35766413,35922951,35935409,36181856,36782392,36945831,36947873,36998170,37426248,37509233,38181809,38629553,38955098,39413370,39571315,40078804,40521158,40704588,40729515,40860593,40872086,41380191,41638433,41804909,41971313,42040928,42104529,42110968,42233188,42359309,42525473,42954303,43189409,43444816,43843555,44087979,44397804,44844209,45193803,45818068,45833633,45943409,46202955,46327373,47148833,47296044,47374839,47485578,47915128,47968493,48493959,48875418,48938055,49058573,49283152,50416673,50627703,50824804,51136075,51296632,51332966,51553613,52103095,52200592,52252708,52371926,52612266,52717958,53117873,53412711,53904519,53924333,53987151,55443546,55650140,55817428,55825766,55852493,56530450,56604088,56652833,56865953,57185393,57291809,57547286,57603715,57708711,57929633,58725666,59043053,59572013,59867655,60085588,60205709,60271075,60627533,60979526,60996209,61363290,61572355,62175355,62523714,62571809,62633650,62833709,63679599,63858832,64765553,65025773,65079206,65337773,65454176,65924012,65956359,66771415,66780168,67100333,67195768,67800806,67836540,68053515,68157112,68238247,68287409,69124458,69497126,70174646,71039608,71517293,71527958,71841186,72281633,72325290,72358976,72590416,72628491,72939559,73044173,73201983,73533028,73635948,73886826,74237908,74311073,74399608,74412209,74610426,74901158,75018353,75068813,75127689,75160380,75595239,75673709,76229655,76246406,76582358,76676751,77054548,77146976,77581613,77781773,77931809,78519475,78680909,78930209,79278893,79309783,79500200,79599446,79919559,80125698,80152312,80171072,80268326,80507155,80570573,80639923,80768813,81260823,81311632,81403848,81659309,81664218,83383409,83564151,83639983,83699559,83982328,84173515,84462113,84602006,84755633,85731953,86262326,86394831,86790348,86852152,86881899,86947853,87916973,88275028,89437725,89672404,90171351,90192456,90277793,90661409,90805133,91221686,91235873,91475586,91579329,91766308,91880486,92838242,93473863,93996209,94016632,94177160,94223370,94480119,94847393,95400240,95554733,95648909,95790113,95924728,95978273,96608586,96739075,97483210,97525709,97708671,98599073,...,38997848698402722494708280350530747791354934841190437728149582511161425741871314134156925383807411088947715568364357402098546255679821433818330540600281249715808387320111402235332247697069034687451842845023507172655080577623895647003294025481733817665791623631408105041051674029665077503513547669913896656815434494429303043661373445445825726361436356464607919968865145724083077220567963468233485373451761293827121485964492548139714774510064347020367332373244280657237704065280582131763091195261964318242427126824428506738671126366372126075136034447067275449375474539639309161832573706657898288912357103138157798060868426342957791866715206767678357130480449189880340617028042701068578928731859713249390983719093296667774631391573783561579026818967395934566788214214520839310830500252163354520153001963612217797015993041581313012221950462760449380421462015985672307829258678055905235287045045749042018928131018307793702183822912004571411413622212273756067500191368777780600745872928425010402426215050483429744867402749118025643508328306706445896513004813555921360878923425843986184736426608710873629390018709290378226142108941807866557862163991506197843739075556644595890533563484018793167063073532553523951172918670939383018824614565313652191833004540496473681236647305162321728344438091066172759567046105405408709613051781123320977762250273592394444666363413193978209203047629301028600668515776789446985584376627193424977609115188622396859935499332277553802094061634333189353968181168078829952340240095705313949067036863916465315133953235149626803208019713800408691757765191006939518364975974323037052478558045822285104564497820264895870813450180887086441974290809258065767397731655126339808066625022638268598789467029693658025081255729070759584365687142881794690508162327199344511000834477334905989712702523930433275236211240605963403953105712072108573053114763423626804069806321658558508851155962824990462218483557135914050272499826741944261508349916120559846794805352758650482361988387820452617710496029167711289581724339575342538843854885763259503843023846895112172079555261179210694119337383261356781899582410361096506733546953117552351130863657267513907435846293154478606217899061779805214065073227289715695258381720072074653495188362046402334371695990876639866078814948162229421624981313264354969746009585072662643763630852783956816562148876279372381527111702276791972280536613801621505426593788127697280030484586270615328374245153077413008217809510311125341974064058869553458350864048592907048447436184868551141424405032191834806247173746093782130498464370144554931131095324347328028825157148928097672145073310119252363538686600761746544858709088729794452998957193044573735650007360075710036405220235275383853889509520215713262154180871471297803142201179513620083210896057739987824632572123208841053764403500727336946663874001049910984467287816229323838624086523112102373129904444961798993207111029098573048307662194077352707551065318387447018085862351342963289151031829947399625704410436671984478807836067974122255015941646032554430376581628912050649907222344929396276611875476434116019707684077619417016104112272759663645014854628573887168398979118773930221001317853434300299393314366146887959621760625838380390473527124698074414880226295994615691879053696401597593682120710626836178266824056353892664535337772508516331960663170302931772639858275376749657805397471947511390533279678107355310964013896670898428856280012077888451909535576759584973586522503532217780372446600496584107053447026540279585762759214160048788756730014814704444886707533874118189406714060288859872911033141561173053235904210905003601420691482495906764343523439449906443915784326862248412686288759697522715490657519244455020809024413212274719389275632152684921311843262828842265353859324600607017216877273446190974297442646029872526619411347421627732837924458176773198189374553011892065201522177142382124647211491271841301142915293718562184605215933146731772800903794251331124176326329120675799051515009034236051991126181113041631216545732644367547524972117710897544769608016333762455437443272967137795437776292477558765185817398327513103249222295994554092454940939340349792771101906128177380630254386940822576828007183207249776416723440870347075657509921061529986456153433677874695496832014613446161446921674982320961598500972601827666383242823054260009957568432514547526621408438527058354940976929850412384940755075854745401290250741739311412066644175724916454451469328929292719064162298704980607894813718383724797342922987293845540457219782810389822483432928519046559074008510337300611925081149594634528306789875309377846546906842143758499115842869287385614943234355533237515429010834090455612631300871317015083649392520983206466593684620877891080944969725373542536630320062128695830998978970746196398028239815786779444671408079977113818209436216895614741314793422814781192461196009}
30607 1800396678516895764407081176193134257869811070285587357210940365246473337240156913021429: {1009569,1499057,2141510,2569812,3059300,3671160,3915904,4130055,4308537,4405392,4922897,4956066,6390593,6570185,6757517,7032710,7884222,8439252,8770433,9197657,9789537,10051937,10336449,11143085,11435798,12437513,12521937,12529190,13040153,13139510,13371702,14359910,14451569,14697917,15035028,15172913,15767412,15793689,16104593,16266964,16284749,16618685,16838009,17231892,17539718,17730377,17998073,18628790,19217837,19942422,20670052,21675590,21784289,21988337,22354548,22499873,22839257,23238520,23264633,23397537,23939049,24873398,25056740,25225214,25329110,25562289,26010708,26143335,26519273,27558806,27886224,27940073,28263369,29109304,30068088,30131174,30250985,30394932,31372002,31411910,31658573,31659124,32062505,32184593,32207078,32331422,32627510,32747967,33235190,33673814,33826599,34223009,34548569,34980088,35028233,36036020,36301182,36334209,36785812,36847097,37694292,37871597,38014214,38456717,38475006,38985675,39153012,39352599,39882228,39914390,40037309,40083969,40757702,40827449,41167433,41584720,41925737,42082742,42221937,42565193,42901385,43122758,43243224,44356449,44480753,44884553,45227320,45675518,45794009,45977990,46312493,46782810,47026697,47897268,48648627,49261108,49528577,49901664,50098505,50208537,50282957,50301017,50880735,51481662,52551160,52638710,52791485,53389569,53984573,54272784,54306020,54542654,55173588,55497255,55815593,55876478,56139372,56194913,57272404,57272585,58432647,58783972,58796297,59120055,59197072,59637473,59843837,59893910,60118206,60258404,60406142,60781737,61056882,61241174,61308129,61603940,61674857,62159657,63061392,63166452,63314104,63349782,63367193,63516614,63531005,64120790,64483289,64545569,64658612,65080598,65099657,65167224,65250740,65315885,65536694,65838422,66057017,66596706,67503604,67755446,68727102,68858813,69092606,69562675,69771785,70133273,70149688,70755110,70944066,71147678,71216948,71228367,71872692,71982868,73313127,73484537,73668038,73924728,74429702,74687153,75106985,75490649,75995633,76237206,76494473,76944948,76999449,78300888,78379062,78458489,78557889,78918399,79076937,79823540,80069366,80415809,81817720,81947174,82264553,82372397,82405015,83165319,83222054,83364952,83475210,83726142,83738649,83934137,83994710,84313217,84795675,84906132,85124798,85196390,86320929,87861857,87941812,88088499,88520873,88799510,89040224,89125193,89613017,90128382,90448720,90738020,90775673,91019873,91265549,91469289,91916285,92044935,92165944,92381993,92684753,92797385,92999510,93095129,93785571,93950475,94364369,95711249,95788248,96022457,96312509,96318185,96433720,96837988,97258553,97602644,97618809,97674017,98181264,98504777,98515768,98583869,98886018,99375250,99480568,...,51997131597870296659611040467374330388473246454920583637532776681548567655828418845542567178409881451930287424485809869464728340906428578424440720800374999621077849760148536313776330262758712916602457126698009563540107436831860862671058700642311756887722164841877473388068898706220103338018063559885195542420579325905737391548497927261100968481915141952810559958486860965444102960757284624311313831269015058436161981285990064186286366013419129360489776497659040876316938753707442842350788260349285757656569502432571342318228168488496168100181379262756367265833966052852412215776764942210531051883142804184210397414491235123943722488953609023571142840640598919840454156037390268091438571642479617665854644958791062223699508522098378082105369091956527912755717618952694452414440667002884472693537335951482957062687990722108417349629267283680599173895282687980896410439011570741206980382726727665389358570841357743724936245097216006095215218162949698341423333588491703707467661163904566680536568286733977906326489870332157367524677771075608594528684006418074561814505231234458648246315235478281164839186691612387170968189478589077155410482885322008263791652100742192794520711417978691724222750764710071365268230558227919177358432819420418202922444006053995298241648863073549762304459250788088230346089394807207211612817402374831094637016333698123192592888484550925304278937396839068038134224687702385929314112502169591233303478820251496529146580665776370071736125415512444252471957574890771773269786986794273751932089382485221953753511937646866169070944026285067211589010353588009252691153301299097382736638077394429713472752663760353194494417933574516115255965721079010754356530308873501786410755500030184358131719289372924877366775007638761012779154249523842392920677549769599126014667779303113207986283603365240577700314948320807951205270807616096144764070819684564835738759741762211411345134874617099987282957978076181218733696666435655925682011133221494079795726407137011533976482651183760603490280661372223615052775632452767123385125139847684346005124031795860149562772740348238947592159116511015142375866109880481462008978062604156736468174484876356685209914461724205971474957198749039740285420097636386287593677842293429432871326917816061869779162261321168853154771753264216305895499975084352473292994679446763550191684841137045275755416198501705829842036148936369055963040715485068828673902125050836929706707312781694153771165660204103217344290412680414833789298752078492737944467818731457209397929914913158068188565873376255779741662898328125042840664619160192739908174793765796437371766876198570796896193431080159003151384915467682328726478278784973059270665276257392764980866676480100946715206960313700511805186012693620951016205574495295063737522934906018160110947861410319983766176762830945121405019204667636449262218498668066547979289717088305765118165448697482803164173205926615731990942814705464764064410216258769803610068087091183262690781149801790617718868042439929866167605880582229312638410448090632163006687922194710072573835442171882734199876296459905861702149167301912154692943578770159222688138816363679551526686472838098516224531972158365240294668423804579067065857752488195850612829014167784507187298036166264099219840301727992820922505404928535463458242827614169114904355765408471856886047117030011355109280884227070575696853144367168999543740529962596681854044372904143140414618685195561197905141706682770517935879380769012779964782030004709623707163262133995445476071262702053706114350345618880065051675640019752939259848943378498824252542285413718479830548044188748230737647872281206671468560921976661209019124697919266541925221045769149664550248385012930030287320876692325940027745365884283032959185700842870246561749124350438456353805145766134142689622503031261587965729923528039830035492548463228836977117232610902364264252499404015856086935362902856509499529615321695788401523887058291416246140287910862309030401205059001774832235101772160901065402020012045648069321501574817388841622060976859156730033296156947863393026144021778349940583257697289517060583701723303411686914423197770017470998963061326072123273254585787133057028135874837569840840339182587763435770676244276333035222297921160462767543346561415373315274871244903832927329109352817928215262562233309761282131334630135770221844323764072346679943424576686063368828544584702744473254635906467216513254340101139660535053667655652415216088858900966555272601959105239056958752216398273307477193084957844966396457230649725127387276293043747186429977910571358728745432011347116400815900108199459512704409053167079170462062542456191677998821123825716514153257645807377650020572014445453940816841734495089353444865856694644275288791579494503854774593292967164723382173760082838261107998638627661595197370986421049039259561877439969485090945914955860819655086391230419708256614928012}
30608 1805934957118296072051566381814075271329165801687745433238267393170550869993025786204076: {795418,947887,1346092,1773466,2411791,2872546,3212265,3238618,3426416,3824125,3854718,4092226,4235191,4588950,4894880,5432026,5506740,5507287,5744716,5873856,5918746,6608088,6648346,6891418,7318447,7434099,8348506,8469826,9560986,10201327,10512296,10549065,10560391,10892866,11098447,11252336,11826333,11993767,12658878,12708727,13052716,13244191,13781932,14515426,15024391,16695916,17153697,17162818,17763418,17828936,18563191,18793785,18963418,19709265,19794967,20046704,20057553,20333705,20401306,20672647,20999746,21023216,21058252,21358618,21539865,21723487,22552542,22597207,22975856,23150818,23651118,24400446,24701146,25296706,25470641,25837565,25847838,26309577,26589896,27801727,27943185,28149826,28662847,29048150,29335906,29522167,29806064,29865391,29913633,30208327,30283618,30607577,30638746,30722191,31005078,31196716,31320925,31918732,32513385,32884546,33531822,34083052,34470727,34653466,34680944,34857780,35595418,36386630,37006426,37181632,37310097,37585110,37684492,37837821,37993665,38016367,38688127,38766946,39016062,39470146,39573905,40090784,40526576,40863391,41338209,41696791,41829336,42860527,43444066,43663956,43725110,43793818,44143426,44376418,44516887,45012391,45045025,45102132,45196761,45592398,45889306,45982265,46121818,46935106,47058003,47117865,47488686,48310617,48401576,48445612,48497133,48941265,49116391,49852785,50257447,50259056,50510721,50758618,51300008,51797438,51881407,51980900,52204016,52470132,52490818,53176304,53445292,53981791,54054030,54451773,55178718,55399841,55599706,55909807,56295916,56534150,56541438,56869927,57021321,57508567,57657632,57668047,57712509,57895066,57986791,58729518,59141932,59823342,59871585,60298306,60684487,61097818,61136553,61380977,61440226,61473967,61576385,61946791,62377080,63047527,63124113,63150106,63863024,64684137,64864836,65394367,65688950,66218818,66535552,66944716,67415191,67840980,67882525,67918618,68484418,68513277,68642216,68966985,70174215,70807327,71186092,71267191,71532826,71573407,71590505,71726407,71845902,71870818,72363712,72944333,73479965,73564784,73891662,73895746,73996340,74012767,74852496,75018466,75074191,75323005,75528007,76363618,77004925,77222493,77259106,77637247,77910196,78826740,78958065,79142630,79284607,80157608,80645201,80774647,80823265,81042316,81409176,81459030,81563425,81721186,81744172,81813981,82760382,83276866,83609818,83814717,83942626,84081856,84209058,84221936,84379505,84466376,84468247,84718618,84761791,85050946,85786927,85908606,86201297,86378818,86889632,87045497,87245287,87687110,88175958,88795608,89021185,89419327,89688418,89840865,89978585,90177309,90387606,90609213,90859687,91585323,91636136,91667266,91861761,91886818,92405910,92654746,93479981,94297666,94592088,94749678,94854391,94971156,95024673,95274921,95279047,95830256,95844247,95936986,95985367,96181185,96987918,97620897,97750836,97876110,98117146,98305041,98566304,98757633,99779425,99895059,...,77995697396805444989416560701061495582709869682380875456299165022322851483742628268313850767614822177895431136728714804197092511359642867636661081200562499431616774640222804470664495394138069374903685690047014345310161155247791294006588050963467635331583247262816210082103348059330155007027095339827793313630868988858606087322746890891651452722872712929215839937730291448166154441135926936466970746903522587654242971928985096279429549020128694040734664746488561314475408130561164263526182390523928636484854253648857013477342252732744252150272068894134550898750949079278618323665147413315796577824714206276315596121736852685915583733430413535356714260960898379760681234056085402137157857463719426498781967438186593335549262783147567123158053637934791869133576428429041678621661000504326709040306003927224435594031986083162626024443900925520898760842924031971344615658517356111810470574090091498084037856262036615587404367645824009142822827244424547512135000382737555561201491745856850020804852430100966859489734805498236051287016656613412891793026009627111842721757846851687972369472853217421747258780037418580756452284217883615733115724327983012395687478151113289191781067126968037586334126147065107047902345837341878766037649229130627304383666009080992947362473294610324643456688876182132345519134092210810817419226103562246641955524500547184788889332726826387956418406095258602057201337031553578893971168753254386849955218230377244793719870998664555107604188123268666378707936362336157659904680480191410627898134073727832930630267906470299253606416039427600817383515530382013879036729951948646074104957116091644570209128995640529791741626900361774172883948581618516131534795463310252679616133250045276537197578934059387316050162511458141519168731374285763589381016324654398689022001668954669811979425405047860866550472422481211926807906211424144217146106229526847253608139612643317117017702311925649980924436967114271828100544999653483888523016699832241119693589610705517300964723976775640905235420992058335422579163448679150685077687709771526519007686047693790224344159110522358421388238674766522713563799164820722193013467093906235104702261727314535027814871692586308957212435798123559610428130146454579431390516763440144149306990376724092804668743391981753279732157629896324458843249962626528709939492019170145325287527261705567913633124297752558744763054223404553583944561073227603243010853187576255394560060969172541230656748490306154826016435619020622250683948128117739106916701728097185814096894872369737102282848810064383669612494347492187564260996928740289109862262190648694656057650314297856195344290146620238504727077373201523493089717418177459588905997914386089147471300014720151420072810440470550767707779019040431426524308361742942595606284402359027240166421792115479975649265144246417682107528807001454673893327748002099821968934575632458647677248173046224204746259808889923597986414222058197146096615324388154705415102130636774894036171724702685926578302063659894799251408820873343968957615672135948244510031883292065108860753163257824101299814444689858792553223750952868232039415368155238834032208224545519327290029709257147774336797958237547860442002635706868600598786628732293775919243521251676760780947054249396148829760452591989231383758107392803195187364241421253672356533648112707785329070675545017032663921326340605863545279716550753499315610794943895022781066559356214710621928027793341796857712560024155776903819071153519169947173045007064435560744893200993168214106894053080559171525518428320097577513460029629408889773415067748236378813428120577719745822066283122346106471808421810007202841382964991813528687046878899812887831568653724496825372577519395045430981315038488910041618048826424549438778551264305369842623686525657684530707718649201214034433754546892381948594885292059745053238822694843255465675848916353546396378749106023784130403044354284764249294422982543682602285830587437124369210431866293463545601807588502662248352652658241351598103030018068472103982252362226083262433091465288735095049944235421795089539216032667524910874886545934275590875552584955117530371634796655026206498444591989108184909881878680699585542203812256354761260508773881645153656014366414499552833446881740694151315019842123059972912306867355749390993664029226892322893843349964641923197001945203655332766485646108520019915136865029095053242816877054116709881953859700824769881510151709490802580501483478622824133288351449832908902938657858585438128324597409961215789627436767449594685845974587691080914439565620779644966865857038093118148017020674601223850162299189269056613579750618755693093813684287516998231685738574771229886468711066475030858021668180911225262601742634030167298785041966412933187369241755782161889939450747085073260640124257391661997957941492392796056479631573558889342816159954227636418872433791229482629586845629562384922392018}
30609 1811490173888166014198841971904000638955001096470255376308098547951156935371815467477482: {1193127,1682615,2019138,2660199,2998114,4283020,4308819,4857927,5139624,5782077,6118600,6138339,6883425,7180895,7342320,7552519,7831808,8148039,8260110,8617074,8810784,8878119,9198259,9845794,9912132,9972519,10337127,12522759,12704739,12781186,13140370,13515034,13781207,14065420,14341479,14698879,15600319,15768444,16315895,16339299,16878504,17079127,17227415,17540866,17999251,18395314,18988317,19579074,19819811,20103874,20381519,20672898,20869895,21478759,21773139,22286170,22871596,23266159,24875026,25043874,25058380,25744227,26080306,26279020,26322815,26590759,26645127,26743404,27515639,28445127,28719820,28903138,29395834,29868311,30070056,30345826,30601959,31340959,31499619,31534824,31587378,32037927,32209186,32533928,32569498,33012659,33237370,33676018,33828813,33882167,34463784,34726227,35079436,35383111,35460754,35476677,35887907,35996146,36310871,36600669,37051719,37257580,37945059,38435674,38771757,38995895,39884844,39898415,40830127,41340104,42224739,42327079,42351379,42603815,43048199,43351180,43568578,43572225,43902947,43976674,44003859,44709096,44887507,44999746,45425427,45678514,45958119,46477040,46507617,46529266,46795074,47105615,47878098,48571639,49326819,49746796,49905911,50113480,50297733,50304319,50450428,50658220,51124578,51980199,52021416,52286670,52353047,53038546,53393127,54579945,55117612,55509639,55772448,55880146,55901747,56198599,56377665,56526738,57707647,58150419,58218608,58524093,59205219,60061939,60136176,60262348,60501970,60557015,60789864,62427359,62744004,62818031,62823820,63317146,63318248,64125010,64369186,64414156,64662844,64976125,65166099,65255020,65495934,65587665,65690727,66215139,66470380,66564627,66806615,67347628,67653198,68388597,68446018,68833959,69097138,69182727,69960176,70056466,70137907,70369895,70402659,71233029,72072040,72602364,72668418,73406279,73571624,73694194,73801271,73908079,73927415,75388584,75743194,75997919,76028428,76137927,76281127,76913434,76950012,77696157,77971350,78306024,78697271,78705198,78736227,79764456,79828780,80074618,80167938,80181619,81081045,81515404,81654898,82334866,82768077,83169440,83399559,83680895,83788067,83851474,84165484,84443874,84801225,84812157,85130386,85774007,85802770,86245516,86486448,86842599,88094277,88712898,88776767,88943407,88961506,88982615,89131039,89735013,89769106,90402559,90447459,90454640,91351036,91442239,91588018,91646727,91955980,92160339,92495425,92624986,93565620,94053394,94232419,94725159,95364119,95717527,95794536,95944799,97297254,97387745,97680499,98522216,98533425,99057154,99328227,99803328,99840359,...,116993546095208167484124841051592243374064804523571313184448747533484277225613942402470776151422233266843146705093072206295638767039464301454991621800843749147425161960334206705996743091207104062355528535070521517965241732871686941009882076445201452997374870894224315123155022088995232510540643009741689970446303483287909130984120336337477179084309069393823759906595437172249231661703890404700456120355283881481364457893477644419144323530193041061101997119732841971713112195841746395289273585785892954727281380473285520216013379099116378225408103341201826348126423618917927485497721119973694866737071309414473394182605279028873375600145620303035071391441347569641021851084128103205736786195579139748172951157279890003323894174721350684737080456902187803700364642643562517932491500756490063560459005890836653391047979124743939036665851388281348141264386047957016923487776034167715705861135137247126056784393054923381106551468736013714234240866636821268202500574106333341802237618785275031207278645151450289234602208247354076930524984920119337689539014440667764082636770277531958554209279826132620888170056127871134678426326825423599673586491974518593531217226669933787671600690452056379501189220597660571853518756012818149056473843695940956575499013621489421043709941915486965185033314273198518278701138316216226128839155343369962933286750820777183333999090239581934627609142887903085802005547330368340956753129881580274932827345565867190579806497996832661406282184902999568061904543504236489857020720287115941847201110591749395945401859705448880409624059141401226075273295573020818555094927922969111157435674137466855313693493460794687612440350542661259325922872427774197302193194965379019424199875067914805796368401089080974075243767187212278753097061428645384071524486981598033533002503432004717969138107571791299825708633721817890211859317136216325719159344290270880412209418964975675526553467888474971386655450671407742150817499480225832784525049748361679540384416058275951447085965163461357853131488087503133868745173018726027616531564657289778511529071540685336516238665783537632082358012149784070345698747231083289520200640859352657053392590971802541722307538879463435818653697185339415642195219681869147085775145160216223960485565086139207003115087972629919598236444844486688264874943939793064909238028755217987931290892558351870449686446628838117144581335106830375916841609841404864516279781364383091840091453758811845985122735459232239024653428530933376025922192176608660375052592145778721145342308554605653424273215096575504418741521238281346391495393110433664793393285973041984086475471446784293016435219930357757090616059802285239634576127266189383358996871579133721206950022080227130109215660705826151561668528560647139786462542614413893409426603538540860249632688173219963473897716369626523161293210502182010839991622003149732953401863448687971515872259569336307119389713334885396979621333087295719144922986582232058122653195955162341054257587054028889867453095489842198877113231310015953436423508203922366765047824938097663291129744886736151949721667034788188829835626429302348059123052232858251048312336818278990935044563885721661505196937356321790663003953560302900898179943098440663878865281877515141171420581374094223244640678887983847075637161089204792781046362131880508534800472169061677993606013317525548995881989510908795317919574826130248973416192415842534171599839034322065932892041690012695286568840036233665355728606730278754920759567510596653341117339801489752321160341079620838757288277642480146366270190044444113334660122601622354568220142180866579618733099424683519159707712632715010804262074447487720293030570318349719331747352980586745238058866279092568146471972557733365062427073239636824158167826896458054763935529788486526796061577973801821051650631820338572922892327938089617579858234042264883198513773374530319594568123659035676195604566531427146373941634473815523903428745881155686553815647799440195318402711382753993372528978987362027397154545027102708155973378543339124893649637197933102642574916353132692634308824049001287366312329818901413386313328877432676295557452194982539309747666887983662277364822818021049378313305718384532141890763160822467730484021549621749329250170322611041226972529763184589959368460301033624086490496043840338484340765024946962884795502917805482999149728469162780029872705297543642579864225315581175064822930789551237154822265227564236203870752225217934236199932527174749363354407986787878157192486896114941823684441155151174392028768961881536621371659348431169467450298785557139677222025531011901835775243448783903584920369625928133539640720526431275497347528607862156844829703066599712546287032502271366837893902613951045250948177562949619399781053862633673242834909176120627609890960186386087492996936912238589194084719447360338334014224239931341454628308650686844223944380268444343577383588027}
30610 1817062380330526881241441122796621914978574499862028792982895223093162849753633785294178: {520081,1590836,1619521,1895774,2168269,2692184,3028707,3081409,3446161,3546932,4497171,4823582,5353775,5447149,5745092,6424530,6477236,6852832,7648250,7709436,7981261,8161729,8184452,8470382,9177900,9602881,9789760,10864052,11013480,11014574,11489432,11747712,11837492,12390165,12925611,13216176,13296692,13542289,13782836,14636894,14768691,14788429,14868198,15676369,16697012,16916461,16939652,17581775,17976589,19121972,19171779,19710555,20272551,20402654,20440141,21024592,21098130,21120782,21785732,22191181,22196894,22504672,23064001,23652666,23987534,24456769,25317756,25417454,25498321,26105432,26311299,26364301,26488382,27563864,27592971,27918529,28090861,28467187,28589495,28951441,29030852,29368611,30048782,30155811,31009347,31322975,32716609,32848775,33391832,33429255,34307394,34325636,34755649,34925101,35526836,35657872,35899775,35940301,36172591,37126382,37312539,37458241,37565811,37587570,37626541,37926836,38299021,39120459,39418530,39589934,39975181,40093408,40115106,40667410,40697987,40802612,41144209,41345294,41999492,42046432,42116504,42717236,43079730,43140049,43305901,43354707,43446974,43849295,44093751,45105084,45194414,45518739,45949741,45951712,46301636,46443409,46571975,47302236,47381067,48313779,48800892,48854247,49391809,49402292,49856055,50514027,50593412,50941282,51675130,51695676,52619154,53179792,53191131,53994219,54188975,54736621,54897361,55403467,55603454,55860289,55886370,56299652,56660749,57299821,57325694,57653511,58096300,58256269,58671812,58892461,59044334,59051329,59612128,59730782,59827266,60161389,60416654,60567236,61215154,61277492,61444382,62010156,62183495,62393432,62641850,62685421,63063035,63322775,63837464,64375171,65026770,65352867,65769092,65965011,65970241,67063644,67213249,67499619,67678189,68166104,68517771,68897015,68914861,68941454,69223309,69306932,69361888,69715560,69793899,70192611,71190836,71817147,72291949,72597229,72773260,73054609,74012852,74271121,74363264,74422861,74620194,75170220,75180481,75327935,75368984,75675642,75987330,76032734,76686867,77376254,77533892,77893009,78032124,78342829,78430005,78529775,78792001,78940292,78941581,79147810,79389889,79557819,80181568,80517695,80582209,80828555,81053152,81568775,81726782,81769921,81918061,82676418,82805389,83087975,83393582,83658672,83820219,84184535,84790107,84865741,85721054,86206939,86888132,87327912,87450220,87587636,87784621,88286852,88752836,89033774,90024782,90090050,90204264,90393522,90752955,90818449,91184796,91778612,91822669,91964530,92243636,92823361,93870212,94104781,94116006,94235730,94975719,94977372,95035535,95663041,96187515,96553779,96621234,96803152,96891224,96994266,97072081,97633681,97773901,97882530,98232782,98243901,98613709,99705570,99785975,...,155991394793610889978833121402122991165419739364761750912598330044645702967485256536627701535229644355790862273457429608394185022719285735273322162401124998863233549280445608941328990788276138749807371380094028690620322310495582588013176101926935270663166494525632420164206696118660310014054190679655586627261737977717212174645493781783302905445745425858431679875460582896332308882271853872933941493807045175308485943857970192558859098040257388081469329492977122628950816261122328527052364781047857272969708507297714026954684505465488504300544137788269101797501898158557236647330294826631593155649428412552631192243473705371831167466860827070713428521921796759521362468112170804274315714927438852997563934876373186671098525566295134246316107275869583738267152856858083357243322001008653418080612007854448871188063972166325252048887801851041797521685848063942689231317034712223620941148180182996168075712524073231174808735291648018285645654488849095024270000765475111122402983491713700041609704860201933718979469610996472102574033313226825783586052019254223685443515693703375944738945706434843494517560074837161512904568435767231466231448655966024791374956302226578383562134253936075172668252294130214095804691674683757532075298458261254608767332018161985894724946589220649286913377752364264691038268184421621634838452207124493283911049001094369577778665453652775912836812190517204114402674063107157787942337506508773699910436460754489587439741997329110215208376246537332757415872724672315319809360960382821255796268147455665861260535812940598507212832078855201634767031060764027758073459903897292148209914232183289140418257991281059583483253800723548345767897163237032263069590926620505359232266500090553074395157868118774632100325022916283038337462748571527178762032649308797378044003337909339623958850810095721733100944844962423853615812422848288434292212459053694507216279225286634234035404623851299961848873934228543656201089999306967777046033399664482239387179221411034601929447953551281810470841984116670845158326897358301370155375419543053038015372095387580448688318221044716842776477349533045427127598329641444386026934187812470209404523454629070055629743385172617914424871596247119220856260292909158862781033526880288298613980753448185609337486783963506559464315259792648917686499925253057419878984038340290650575054523411135827266248595505117489526108446809107167889122146455206486021706375152510789120121938345082461313496980612309652032871238041244501367896256235478213833403456194371628193789744739474204565697620128767339224988694984375128521993857480578219724524381297389312115300628595712390688580293240477009454154746403046986179434836354919177811995828772178294942600029440302840145620880941101535415558038080862853048616723485885191212568804718054480332843584230959951298530288492835364215057614002909347786655496004199643937869151264917295354496346092448409492519617779847195972828444116394292193230648776309410830204261273549788072343449405371853156604127319789598502817641746687937915231344271896489020063766584130217721506326515648202599628889379717585106447501905736464078830736310477668064416449091038654580059418514295548673595916475095720884005271413737201197573257464587551838487042503353521561894108498792297659520905183978462767516214785606390374728482842507344713067296225415570658141351090034065327842652681211727090559433101506998631221589887790045562133118712429421243856055586683593715425120048311553807638142307038339894346090014128871121489786401986336428213788106161118343051036856640195155026920059258817779546830135496472757626856241155439491644132566244692212943616843620014405682765929983627057374093757799625775663137307448993650745155038790090861962630076977820083236097652849098877557102528610739685247373051315369061415437298402428068867509093784763897189770584119490106477645389686510931351697832707092792757498212047568260806088708569528498588845965087365204571661174874248738420863732586927091203615177005324496705305316482703196206060036136944207964504724452166524866182930577470190099888470843590179078432065335049821749773091868551181751105169910235060743269593310052412996889183978216369819763757361399171084407624512709522521017547763290307312028732828999105666893763481388302630039684246119945824613734711498781987328058453784645787686699929283846394003890407310665532971292217040039830273730058190106485633754108233419763907719401649539763020303418981605161002966957245648266576702899665817805877315717170876256649194819922431579254873534899189371691949175382161828879131241559289933731714076186236296034041349202447700324598378538113227159501237511386187627368575033996463371477149542459772937422132950061716043336361822450525203485268060334597570083932825866374738483511564323779878901494170146521280248514783323995915882984785592112959263147117778685632319908455272837744867582458965259173691259124769844784036}
30611 1822651628105102945347369671926807390030663113991044211566261440836404778903967815501488: {1988545,2355661,2386254,2843661,3365230,4038276,4433665,5320398,5996228,7181365,7235373,7735981,8096545,8566040,8617638,8836753,9636795,9715854,10053253,10230565,10279248,11472375,11564154,12237200,12276678,12705573,13580065,13766850,13782109,14361790,14453461,14684640,14796865,15105038,15663616,15795901,16286881,16296078,16520220,16521861,16620865,17228545,17234148,17621568,17756238,18396518,19220353,19691588,19824264,19945038,20382853,20491669,20674254,20871265,21174565,21295441,21787141,21955341,22302297,22842253,23423413,23843149,23902465,24118381,25045518,25409478,25562372,25695073,26280740,27030068,27232165,27562414,27862021,28130840,28682958,29217853,29397758,30603981,30752773,31200638,31536888,31647195,31681173,32631790,32678598,33295341,33757008,34158254,34454830,34553101,35081732,35298913,35478999,35890261,35981301,35998502,36288565,36558709,36790628,36851941,37976634,38082133,38126181,38815069,39158148,39639622,39732573,40042561,40207748,40763038,41345796,41427853,41739790,42412981,42907045,42957518,43546278,43905829,44408545,44572340,45073173,45743192,46532318,46923073,47408545,48112693,49750052,49834261,50087748,50116760,50289553,50575789,51003265,51319249,51461091,51488454,51885301,52160612,52356481,52499365,52558040,52645630,53181518,53290254,53389741,53396545,53486808,54594253,55031278,55434853,55689573,55857781,56381355,56890254,57439640,57806276,57877045,57902581,58512229,58791668,58979713,59127795,59384901,59645341,59736622,60140112,60172659,60691652,61001115,61203918,61752865,62017941,62681918,62999238,63069648,63174756,63241765,64075854,64418372,64587553,64619595,65067856,65138996,65170461,65778253,65883301,65947861,66025318,66065701,66313441,66474740,67150309,67352036,67412053,67657626,67764334,67791621,68025421,68927568,69452454,70158872,70374565,70532869,70766222,70921508,70953354,71775814,71992292,72620375,72621742,73201338,73339765,74103438,74515160,75709045,75890118,76303009,76411923,76596865,76871348,77401333,77512695,77543514,77830621,77991790,78468781,78702433,78928731,79769688,79796830,81660254,82211365,82680208,83405181,83829555,84124669,84324301,84449478,84654158,84702758,84779821,85207630,85988541,86096398,86382253,86633665,86702360,87137156,87144450,87805894,87953348,88007718,88566501,88988545,89418192,89596173,89740899,89775014,89999492,90624981,90850854,90966575,91277521,91357028,91822731,91916238,92166573,92394181,92516065,92954080,93015234,93058532,93107341,93529261,93590148,93637861,93716029,93962775,94211230,95756196,96035053,96917365,97143278,97345453,97540155,97679461,98517853,98596801,98653638,98675365,98718541,98760349,99022261,99493592,99811822,99846913,...,233987092190416334968249682103184486748129609047142626368897495066968554451227884804941552302844466533686293410186144412591277534078928602909983243601687498294850323920668413411993486182414208124711057070141043035930483465743373882019764152890402905994749741788448630246310044177990465021081286019483379940892606966575818261968240672674954358168618138787647519813190874344498463323407780809400912240710567762962728915786955288838288647060386082122203994239465683943426224391683492790578547171571785909454562760946571040432026758198232756450816206682403652696252847237835854970995442239947389733474142618828946788365210558057746751200291240606070142782882695139282043702168256206411473572391158279496345902314559780006647788349442701369474160913804375607400729285287125035864983001512980127120918011781673306782095958249487878073331702776562696282528772095914033846975552068335431411722270274494252113568786109846762213102937472027428468481733273642536405001148212666683604475237570550062414557290302900578469204416494708153861049969840238675379078028881335528165273540555063917108418559652265241776340112255742269356852653650847199347172983949037187062434453339867575343201380904112759002378441195321143707037512025636298112947687391881913150998027242978842087419883830973930370066628546397036557402276632432452257678310686739925866573501641554366667998180479163869255218285775806171604011094660736681913506259763160549865654691131734381159612995993665322812564369805999136123809087008472979714041440574231883694402221183498791890803719410897760819248118282802452150546591146041637110189855845938222314871348274933710627386986921589375224880701085322518651845744855548394604386389930758038848399750135829611592736802178161948150487534374424557506194122857290768143048973963196067066005006864009435938276215143582599651417267443635780423718634272432651438318688580541760824418837929951351053106935776949942773310901342815484301634998960451665569050099496723359080768832116551902894171930326922715706262976175006267737490346037452055233063129314579557023058143081370673032477331567075264164716024299568140691397494462166579040401281718705314106785181943605083444615077758926871637307394370678831284390439363738294171550290320432447920971130172278414006230175945259839196472889688973376529749887879586129818476057510435975862581785116703740899372893257676234289162670213660751833683219682809729032559562728766183680182907517623691970245470918464478049306857061866752051844384353217320750105184291557442290684617109211306848546430193151008837483042476562692782990786220867329586786571946083968172950942893568586032870439860715514181232119604570479269152254532378766717993743158267442413900044160454260218431321411652303123337057121294279572925085228827786818853207077081720499265376346439926947795432739253046322586421004364021679983244006299465906803726897375943031744519138672614238779426669770793959242666174591438289845973164464116245306391910324682108515174108057779734906190979684397754226462620031906872847016407844733530095649876195326582259489773472303899443334069576377659671252858604696118246104465716502096624673636557981870089127771443323010393874712643581326007907120605801796359886196881327757730563755030282342841162748188446489281357775967694151274322178409585562092724263761017069600944338123355987212026635051097991763979021817590635839149652260497946832384831685068343199678068644131865784083380025390573137680072467330711457213460557509841519135021193306682234679602979504642320682159241677514576555284960292732540380088888226669320245203244709136440284361733159237466198849367038319415425265430021608524148894975440586061140636699438663494705961173490476117732558185136292943945115466730124854146479273648316335653792916109527871059576973053592123155947603642103301263640677145845784655876179235159716468084529766397027546749060639189136247318071352391209133062854292747883268947631047806857491762311373107631295598880390636805422765507986745057957974724054794309090054205416311946757086678249787299274395866205285149832706265385268617648098002574732624659637802826772626657754865352591114904389965078619495333775967324554729645636042098756626611436769064283781526321644935460968043099243498658500340645222082453945059526369179918736920602067248172980992087680676968681530049893925769591005835610965998299456938325560059745410595087285159728450631162350129645861579102474309644530455128472407741504450435868472399865054349498726708815973575756314384973792229883647368882310302348784057537923763073242743318696862338934900597571114279354444051062023803671550486897567807169840739251856267079281441052862550994695057215724313689659406133199425092574065004542733675787805227902090501896355125899238799562107725267346485669818352241255219781920372772174985993873824477178388169438894720676668028448479862682909256617301373688447888760536888687154767176054}
30612 1828257969027789445476891335137832151635088830226412082783157274845274517469166202047649: {581267,1040162,1619627,1802627,2229347,2533907,3142427,3181672,3239042,3579381,3791548,4336538,4963187,5047845,5384368,5508011,6057414,6162818,6776747,6892322,7093864,7495285,7980597,8222411,8883467,8994342,9647164,10681427,10707550,10860827,10894298,11490184,11756747,12114611,12353027,12849060,12926457,12954472,13008011,13364867,13705664,14433707,14573781,15026387,15144827,15296500,15322427,15418872,15677411,15736547,15962522,16268411,16323458,16368904,16940764,17346231,17977787,18036611,18355800,18415017,19205762,19563227,19579520,20650275,20675411,21542685,21728104,21901307,22026960,22029148,22076147,22657557,22716611,22978864,23495424,23674984,24110627,24444117,24516347,24614485,24780330,25384427,25557827,25851222,26432352,26593384,26634357,27084578,27565672,27575507,27594777,27920411,28781411,29125307,29273788,29537382,29576858,29736396,29917557,29983787,30498011,30726347,31011381,31352738,31952965,32850925,33286307,33394024,33787585,33832922,33879304,35163550,35322611,35660987,35942747,35953178,36111707,36674387,37516907,37568277,38114217,38133611,38243944,38343558,39421110,39810611,40025293,40368011,40545102,40805308,40880282,41343621,41813507,41979947,42049184,42196260,42241564,42534227,43024437,43143011,43198307,43364147,43571464,43852165,43971611,44096637,44382362,44393788,45009344,45018587,45128627,45843107,45988285,46128002,46800957,47305332,47975068,48097621,48142187,48913538,48947685,49017897,50047307,50259685,50264411,50589827,50635512,50834908,50996642,51237381,51682245,52210864,52482347,52622598,52728602,52976764,53505611,53997753,54257747,54579611,55127728,55185942,55715425,55837058,55864187,55917611,56181722,56934374,56964951,57037667,57178990,57902882,58061704,58260347,58631627,58737222,58896587,59459433,59848787,60097564,60218387,60311622,61144557,61389013,61955507,62018694,62187565,62585027,62609685,62645950,64436277,64935467,65200765,65319417,65433218,65697550,65974907,66783664,66858510,67269707,67528067,67992611,68614788,68651272,69511298,69798477,69850202,70356827,71053672,71073011,71315744,71379467,71799550,71880602,72257845,72345182,72653267,73489585,74252764,74327027,74625078,74630411,74916482,75131622,75175140,75185867,75253082,75639611,75841067,75853672,75864565,76092707,76598042,77232681,77598347,77948627,78240918,78348467,78697907,78837060,78968445,79179868,79395611,79772277,79843307,79935381,79950362,80186816,80230212,80522965,81330947,81334820,81395974,81423745,81605224,82288418,82546917,82690588,82860611,83093425,83998984,84092864,84190045,84233008,84333611,84871907,85335381,85434472,86159460,86280098,86611802,86709414,86821187,86893948,87056893,87258011,87698590,87791027,88187502,88288249,88651885,88950611,89604933,89990365,90210168,90388828,90441587,90825107,90873011,91037478,91542827,91805877,91829411,91877147,91899482,91903424,92603272,92886818,93143950,93305507,94022877,94159067,94498857,94604472,94762134,95811347,96089185,96113781,96455821,96627558,96798011,97601784,97708494,97968011,98621027,98783618,98804584,99037977,99365411,99712110,99783227,...,350980638285624502452374523154776730122194413570713939553346242600452831676841827207412328454266699800529440115279216618886916301118392904364974865402531247442275485881002620117990229273621312187066585605211564553895725198615060823029646229335604358992124612682672945369465066266985697531621929029225069911338910449863727392952361009012431537252927208181471279719786311516747694985111671214101368361065851644444093373680432933257432970590579123183305991359198525915139336587525239185867820757357678864181844141419856560648040137297349134676224310023605479044379270856753782456493163359921084600211213928243420182547815837086620126800436860909105214174324042708923065553252384309617210358586737419244518853471839670009971682524164052054211241370706563411101093927930687553797474502269470190681377017672509960173143937374231817109997554164844044423793158143871050770463328102503147117583405411741378170353179164770143319654406208041142702722599910463804607501722319000025406712856355825093621835935454350867703806624742062230791574954760358013068617043322003292247910310832595875662627839478397862664510168383613404035278980476270799020759475923555780593651680009801363014802071356169138503567661792981715560556268038454447169421531087822869726497040864468263131129825746460895555099942819595554836103414948648678386517466030109888799860252462331550001997270718745803882827428663709257406016641991105022870259389644740824798482036697601571739419493990497984218846554708998704185713630512709469571062160861347825541603331775248187836205579116346641228872177424203678225819886719062455665284783768907333472307022412400565941080480382384062837321051627983777977768617283322591906579584896137058272599625203744417389105203267242922225731301561636836259291184285936152214573460944794100599007510296014153907414322715373899477125901165453670635577951408648977157478032870812641236628256894927026579660403665424914159966352014223226452452498440677498353575149245085038621153248174827854341257895490384073559394464262509401606235519056178082849594693971869335534587214622056009548715997350612896247074036449352211037096241693249868560601922578057971160177772915407625166922616638390307455961091556018246926585659045607441257325435480648671881456695258417621009345263917889758794709334533460064794624831819379194727714086265653963793872677675055611349059339886514351433744005320491127750524829524214593548839344093149275520274361276435537955368206377696717073960285592800128077766576529825981125157776437336163436026925663816960272819645289726513256224563714844039174486179331300994380179857919125952259426414340352879049305659791073271271848179406855718903728381798568150076990614737401163620850066240681390327646982117478454685005585681941419359387627843241680228279810615622580748898064519659890421693149108879569483879631506546032519974866009449198860205590346063914547616778708008921358169140004656190938863999261887157434768959746696174367959587865487023162772761162086669602359286469526596631339693930047860309270524611767100295143474814292989873389234660208455849165001104364566489506879287907044177369156698574753144937010454836972805133691657164984515590812068965371989011860680908702694539829295321991636595845632545423514261744122282669733922036663951541226911483267614378343139086395641525604401416507185033980818039952576646987645968532726385953758724478390746920248577247527602514799517102966197798676125070038085859706520108700996067185820190836264762278702531789960023352019404469256963481023238862516271864832927440439098810570133332340003980367804867063704660426542599738856199298274050557479123137898145032412786223342463160879091710955049157995242058941760235714176598837277704439415917673200095187281219718910472474503480689374164291806589365459580388184733921405463154951895461015718768676983814268852739574702126794649595541320123590958783704370977107028586813699594281439121824903421446571710286237643467059661446943398320585955208134148261980117586936962086082191463635081308124467920135630017374680948911593799307927724749059398077902926472147003862098936989456704240158939986632298028886672356584947617929243000663950986832094468454063148134939917155153596425672289482467403191452064648865247987750510967833123680917589289553769878105380903100872259471488131521015453022295074840888654386508753416448997449185407488340089618115892630927739592675946743525194468792368653711464466795682692708611612256675653802708599797581524248090063223960363634471577460688344825471053323465453523176086306885644609864114978045293508402350896356671419031666076593035705507325730346351710754761108877784400618922161579293826492042585823586470534489109199799137638861097506814100513681707841853135752844532688848858199343161587901019728504727528361882829672880559158262478990810736715767582254158342081015002042672719794024363884925952060532671833140805333030732150764081}
30613 1833881455071121970841109283204264196541872241708530038998124015541237037610026737947863: {1560243,2783963,3977090,4711322,4739435,4772508,4858563,5687322,6207131,6504807,6730460,8076552,8867330,9086121,9142523,9244227,9876371,10053911,10338483,10640796,11335163,11992456,12058955,13491513,14322791,14362730,14454407,14470746,15471962,16061325,16193090,16287947,16341447,17081363,17132080,17235276,17673506,18667883,19012091,19120625,19221611,19273590,19431708,20106506,20461130,20558496,20715611,21175955,21481571,21788567,22334243,22944750,23128308,23269211,23800787,23943783,24119963,24217427,24474400,24485187,24514787,24553356,25411146,26000603,27160130,27467147,27533700,27536435,27564218,28178267,28723580,28808643,28906922,29219771,29369280,29593730,29644391,30210076,31327232,31591802,32573762,32592156,32927843,33040440,33043722,33241730,33463451,34457090,34468296,34772531,35243136,35512476,36561107,36592235,36793036,37170495,38125031,38440706,38776833,39383176,39648528,39890076,40626867,40708487,40765706,40835483,40983338,40984331,41348508,41742530,41807891,42349130,42415763,42590882,42832187,43205747,43574282,43910682,44306073,44365287,44604594,45684506,46846826,47029107,47686298,47804930,48236762,50091036,50159147,50749383,50803991,50818956,51006635,51124744,51238043,51390146,51888707,52561480,52745325,52801955,53089931,53393243,53822627,53929767,54060136,54464330,55124828,55492235,55724042,56205971,56261680,57365916,57515337,58435706,58516067,58795516,59131665,59294531,59670887,59771387,59968835,60069863,60817653,61207962,61320423,61505546,62171963,62401276,63073776,63294390,63362346,63543635,65263580,65357196,65782571,66220955,66371963,66552167,66573543,66590682,66618611,67514016,68029883,68316508,68430323,68909660,69041867,69106202,69192003,69548243,70163464,70537511,70597826,70957998,71404571,71780522,71962602,71997004,72577130,73117418,73370307,73499111,73516871,73581256,73703882,74755163,75121955,75631811,75953268,76164266,76252362,76494963,77630138,77862083,78316296,78933897,79092903,79279244,79465146,80025107,80085122,80415496,81027863,81526076,82691592,82778913,82855706,83357027,83479580,83755587,84130187,84272583,84825962,85401561,85768485,85814090,85915036,86454011,86854323,87092556,87811658,88105833,88538471,88817090,89142731,89144680,90146346,90467433,91486384,91981643,92815955,93028041,93064636,93644003,93846146,93968925,94244807,94383047,94817090,95730083,96225386,96544871,98149827,98524391,98546325,98766827,98974835,99500104,99668522,99752243,...,467974184380832669936499364206368973496259218094285252737794990133937108902455769609883104605688933067372586820372288825182555068157857205819966487203374996589700647841336826823986972364828416249422114140282086071860966931486747764039528305780805811989499483576897260492620088355980930042162572038966759881785213933151636523936481345349908716337236277575295039626381748688996926646815561618801824481421135525925457831573910577676577294120772164244407988478931367886852448783366985581157094343143571818909125521893142080864053516396465512901632413364807305392505694475671709941990884479894779466948285237657893576730421116115493502400582481212140285565765390278564087404336512412822947144782316558992691804629119560013295576698885402738948321827608751214801458570574250071729966003025960254241836023563346613564191916498975756146663405553125392565057544191828067693951104136670862823444540548988504227137572219693524426205874944054856936963466547285072810002296425333367208950475141100124829114580605801156938408832989416307722099939680477350758156057762671056330547081110127834216837119304530483552680224511484538713705307301694398694345967898074374124868906679735150686402761808225518004756882390642287414075024051272596225895374783763826301996054485957684174839767661947860740133257092794073114804553264864904515356621373479851733147003283108733335996360958327738510436571551612343208022189321473363827012519526321099731309382263468762319225991987330645625128739611998272247618174016945959428082881148463767388804442366997583781607438821795521638496236565604904301093182292083274220379711691876444629742696549867421254773973843178750449761402170645037303691489711096789208772779861516077696799500271659223185473604356323896300975068748849115012388245714581536286097947926392134132010013728018871876552430287165199302834534887271560847437268544865302876637377161083521648837675859902702106213871553899885546621802685630968603269997920903331138100198993446718161537664233103805788343860653845431412525952350012535474980692074904110466126258629159114046116286162741346064954663134150528329432048599136281382794988924333158080802563437410628213570363887210166889230155517853743274614788741357662568780878727476588343100580640864895841942260344556828012460351890519678392945779377946753059499775759172259636952115020871951725163570233407481798745786515352468578325340427321503667366439365619458065119125457532367360365815035247383940490941836928956098613714123733504103688768706434641500210368583114884581369234218422613697092860386302017674966084953125385565981572441734659173573143892167936345901885787137172065740879721431028362464239209140958538304509064757533435987486316534884827800088320908520436862642823304606246674114242588559145850170457655573637706414154163440998530752692879853895590865478506092645172842008728043359966488012598931813607453794751886063489038277345228477558853339541587918485332349182876579691946328928232490612783820649364217030348216115559469812381959368795508452925240063813745694032815689467060191299752390653164518979546944607798886668139152755319342505717209392236492208931433004193249347273115963740178255542886646020787749425287162652015814241211603592719772393762655515461127510060564685682325496376892978562715551935388302548644356819171124185448527522034139201888676246711974424053270102195983527958043635181271678299304520995893664769663370136686399356137288263731568166760050781146275360144934661422914426921115019683038270042386613364469359205959009284641364318483355029153110569920585465080760177776453338640490406489418272880568723466318474932397698734076638830850530860043217048297789950881172122281273398877326989411922346980952235465116370272585887890230933460249708292958547296632671307585832219055742119153946107184246311895207284206602527281354291691569311752358470319432936169059532794055093498121278378272494636142704782418266125708585495766537895262095613714983524622746215262591197760781273610845531015973490115915949448109588618180108410832623893514173356499574598548791732410570299665412530770537235296196005149465249319275605653545253315509730705182229808779930157238990667551934649109459291272084197513253222873538128567563052643289870921936086198486997317000681290444164907890119052738359837473841204134496345961984175361353937363060099787851539182011671221931996598913876651120119490821190174570319456901262324700259291723158204948619289060910256944815483008900871736944799730108698997453417631947151512628769947584459767294737764620604697568115075847526146485486637393724677869801195142228558708888102124047607343100973795135614339681478503712534158562882105725101989390114431448627379318812266398850185148130009085467351575610455804181003792710251798477599124215450534692971339636704482510439563840745544349971987747648954356776338877789441353336056896959725365818513234602747376895777521073777374309534352108}
30614 1839522138364747246956975873379054272341574401211468933791136387219888108207047696554571: {1131349,1162534,1863733,2080324,2960149,3239254,3605254,4458694,5067814,5965635,6284854,6363344,6415033,6478084,6777193,7066983,7158762,7583096,8413075,8530983,8673076,9304249,9926374,10095690,10493399,10768736,11016022,11279893,12114828,12325636,13068373,13300995,13553494,13784644,14187728,14990570,15737593,15961194,16444822,17766934,17988684,18037813,18919273,19294328,21362854,21415100,21544095,21706119,21721654,21788596,21902773,22427113,22980368,23207943,23513494,24170233,24229222,24289635,24706054,25386133,25698120,25852914,25908944,26016022,26510259,26729734,27411328,28867414,28910385,29147562,30052774,30159759,30289654,30557173,30593000,30644854,30691695,30837744,31354822,31473094,31925044,32095849,32536822,32646916,32737808,33881528,34417125,34460279,34477753,34692462,35663413,35904475,35955574,36073222,36170473,36711600,36830034,37762595,38116719,38192233,38411524,38863849,39126454,39159040,40740195,41300550,41346327,41350822,41538793,42204649,43085370,43201273,43360383,43456208,43802614,44053920,44058296,44152294,44390595,44734151,45315114,45433222,45957728,45991295,46340149,46990848,47302619,47349968,47387703,48221254,48860643,48888234,48963253,49032694,49228970,49560660,49565583,49862595,50430649,50768854,51115654,51243349,51685635,51702444,51892213,52864704,53186768,53268714,53509333,54169156,55131344,55151014,55189554,55840822,55921513,56842643,56881849,57041653,57520633,57562822,57661059,57680149,58250614,58547576,59074764,59153716,59472792,59835114,59967574,60855349,60996022,61148559,61393031,61452694,61475007,62022762,62589433,62613795,62705476,63060853,63523695,63886323,63905930,64383599,65361423,65701850,65866023,66572614,66788048,66906891,67575170,67665844,67758608,68526759,68906035,70270239,70327100,70361833,70363559,70645222,71321974,71529447,71707395,71741749,71885494,71906356,72223414,72355143,73268149,73348774,73494395,74028649,74635753,75033814,75136554,75695413,76148473,76228434,76267222,76487888,76687116,77052649,77085219,77653993,77804149,78001595,78842220,79152313,79621222,80050586,80736022,80792149,81090204,81579475,81610616,81696495,81760564,82687242,83586063,83627014,83959894,84098368,84392520,84483128,85068454,85395635,86048874,86137075,86286022,86396614,86728294,87062591,87142928,87409849,87653559,87704330,87943222,88136149,88193274,88764724,88787576,89005333,89996255,90018688,90037174,90257254,90879673,91166953,91281071,91597333,91686214,91811943,91883893,91976570,92256004,92258319,93601914,94610664,94941585,95043519,95158633,95865493,95950136,96006649,96195242,96284374,96570553,96852073,97827076,97895370,98035794,99099055,99886023,...,701961276571249004904749046309553460244388827141427879106692485200905663353683654414824656908533399601058880230558433237773832602236785808729949730805062494884550971762005240235980458547242624374133171210423129107791450397230121646059292458671208717984249225365345890738930132533971395063243858058450139822677820899727454785904722018024863074505854416362942559439572623033495389970223342428202736722131703288888186747360865866514865941181158246366611982718397051830278673175050478371735641514715357728363688282839713121296080274594698269352448620047210958088758541713507564912986326719842169200422427856486840365095631674173240253600873721818210428348648085417846131106504768619234420717173474838489037706943679340019943365048328104108422482741413126822202187855861375107594949004538940381362754035345019920346287874748463634219995108329688088847586316287742101540926656205006294235166810823482756340706358329540286639308812416082285405445199820927609215003444638000050813425712711650187243671870908701735407613249484124461583149909520716026137234086644006584495820621665191751325255678956795725329020336767226808070557960952541598041518951847111561187303360019602726029604142712338277007135323585963431121112536076908894338843062175645739452994081728936526262259651492921791110199885639191109672206829897297356773034932060219777599720504924663100003994541437491607765654857327418514812033283982210045740518779289481649596964073395203143478838987980995968437693109417997408371427261025418939142124321722695651083206663550496375672411158232693282457744354848407356451639773438124911330569567537814666944614044824801131882160960764768125674642103255967555955537234566645183813159169792274116545199250407488834778210406534485844451462603123273672518582368571872304429146921889588201198015020592028307814828645430747798954251802330907341271155902817297954314956065741625282473256513789854053159320807330849828319932704028446452904904996881354996707150298490170077242306496349655708682515790980768147118788928525018803212471038112356165699189387943738671069174429244112019097431994701225792494148072898704422074192483386499737121203845156115942320355545830815250333845233276780614911922183112036493853171318091214882514650870961297343762913390516835242018690527835779517589418669066920129589249663638758389455428172531307927587745355350111222698118679773028702867488010640982255501049659048429187097678688186298551040548722552871075910736412755393434147920571185600256155533153059651962250315552874672326872053851327633920545639290579453026512449127429688078348972358662601988760359715838251904518852828680705758098611319582146542543696358813711437807456763597136300153981229474802327241700132481362780655293964234956909370011171363882838718775255686483360456559621231245161497796129039319780843386298217759138967759263013092065039949732018898397720411180692127829095233557416017842716338280009312381877727998523774314869537919493392348735919175730974046325545522324173339204718572939053193262679387860095720618541049223534200590286949628585979746778469320416911698330002208729132979013758575814088354738313397149506289874020909673945610267383314329969031181624137930743978023721361817405389079658590643983273191691265090847028523488244565339467844073327903082453822966535228756686278172791283051208802833014370067961636079905153293975291937065452771907517448956781493840497154495055205029599034205932395597352250140076171719413040217401992134371640381672529524557405063579920046704038808938513926962046477725032543729665854880878197621140266664680007960735609734127409320853085199477712398596548101114958246275796290064825572446684926321758183421910098315990484117883520471428353197674555408878831835346400190374562439437820944949006961378748328583613178730919160776369467842810926309903790922031437537353967628537705479149404253589299191082640247181917567408741954214057173627399188562878243649806842893143420572475286934119322893886796641171910416268296523960235173873924172164382927270162616248935840271260034749361897823187598615855449498118796155805852944294007724197873978913408480317879973264596057773344713169895235858486001327901973664188936908126296269879834310307192851344578964934806382904129297730495975501021935666247361835178579107539756210761806201744518942976263042030906044590149681777308773017506832897994898370814976680179236231785261855479185351893487050388937584737307422928933591365385417223224513351307605417199595163048496180126447920727268943154921376689650942106646930907046352172613771289219728229956090587016804701792713342838063332153186071411014651460692703421509522217755568801237844323158587652984085171647172941068978218399598275277722195013628201027363415683706271505689065377697716398686323175802039457009455056723765659345761118316524957981621473431535164508316684162030004085345439588048727769851904121065343666281610666061464301528162}
30615 1845180071195895328465633749083169575710055937317890658521274297257041420483960263249620: {1743801,2600405,3120486,3701753,4858881,5407881,5567926,6635209,6688041,7601721,7954180,8097605,9422644,9427281,9478870,9545016,9717126,10738143,10841345,11038297,11374644,12414262,13009614,13460920,14889561,15143535,15407045,15797969,16153104,16524033,16882537,17082481,17230805,17734660,18172242,18285046,18488454,19752742,20107822,20330241,20676966,21281592,21298229,21482977,22485855,22670326,23941791,23984912,24117910,24667233,24961801,25698437,26650401,26768875,26983026,27235745,28645582,28725460,28908814,28941492,28972021,29361433,29646337,30630617,30943924,32044281,32122650,32386180,32575894,32582481,32682894,34162726,34264160,34470552,35270241,35347012,35894969,36343833,37059081,37227041,37335766,37900313,38024182,38241250,38443222,38547180,38551009,38779371,38863416,38863417,39024033,39906305,40094601,40213012,40808645,40922260,41116992,41431222,41624657,42351910,42963142,43208581,43301121,43577134,43721343,44668486,45079161,45434481,45806017,45889500,45913769,45967281,46160117,46256616,46538422,47032233,47209641,47601574,47887566,48014405,48239926,48434854,48805233,48948800,48970374,49029574,49106712,50822292,51229129,52001206,52038693,52363349,53933361,54109833,54320260,54934294,55067400,55072870,55128436,55245051,55463129,56356534,56448121,57447160,57617286,57813844,57910193,58241681,58439542,58689681,58738560,59187460,59288782,59674801,60420152,61950825,62026233,62654464,63183604,63383809,64628055,65147524,65184312,65703921,65855686,66080880,66087444,66228441,66483460,66926902,67711445,67850009,67972671,68149833,68876869,68914180,68936592,69545062,70486272,70830593,71024952,71409289,72331881,73122214,73184470,73332351,73521697,73549041,73586072,73843455,73922737,73942145,74340990,76153281,76250062,76673481,76881412,77127317,77553666,77689129,78381845,78652561,78712757,78766352,79297056,79780152,79903071,81253734,81416974,81531412,81670966,81966676,81968662,82697016,82726521,82784331,83362513,83485060,83615782,83761233,83956369,84582305,84601457,84698260,84831526,85181764,85664374,85699781,85790969,86344233,86393609,86411494,87148564,87375921,87776513,87821364,87908875,88612146,88730574,88961089,89209188,89752671,89882945,89951361,91369012,91494033,92179041,92709337,93034143,93693652,93728393,94058214,95372596,95609860,95858895,96473524,98552775,99858921,...,1052941914856873507357123569464330190366583240712141818660038727801358495030525481622236985362800099401588320345837649856660748903355178713094924596207593742326826457643007860353970687820863936561199756815634693661687175595845182469088938688006813076976373838048018836108395198800957092594865787087675209734016731349591182178857083027037294611758781624544413839159358934550243084955335013642304105083197554933332280121041298799772298911771737369549917974077595577745418009762575717557603462272073036592545532424259569681944120411892047404028672930070816437133137812570261347369479490079763253800633641784730260547643447511259860380401310582727315642522972128126769196659757152928851631075760212257733556560415519010029915047572492156162633724112119690233303281783792062661392423506808410572044131053017529880519431812122695451329992662494532133271379474431613152311389984307509441352750216235224134511059537494310429958963218624123428108167799731391413822505166957000076220138569067475280865507806363052603111419874226186692374724864281074039205851129966009876743730932497787626987883518435193587993530505150840212105836941428812397062278427770667341780955040029404089044406214068507415510702985378945146681668804115363341508264593263468609179491122593404789393389477239382686665299828458786664508310244845946035159552398090329666399580757386994650005991812156237411648482285991127772218049925973315068610778168934222474395446110092804715218258481971493952656539664126996112557140891538128408713186482584043476624809995325744563508616737349039923686616532272611034677459660157187366995854351306722000416921067237201697823241441147152188511963154883951333933305851849967775719738754688411174817798875611233252167315609801728766677193904684910508777873552857808456643720382834382301797022530888042461722242968146121698431377703496361011906733854225946931472434098612437923709884770684781079738981210996274742479899056042669679357357495322032495060725447735255115863459744524483563023773686471152220678183392787528204818706557168534248548784081915608006603761643866168028646147992051838688741222109348056633111288725079749605681805767734173913480533318746222875500767849915170922367883274668054740779756977136822323771976306441946015644370085775252863028035791753669276384128003600380194383874495458137584183142258796961891381618033025166834047178019659543054301232015961473383251574488572643780646518032279447826560823083829306613866104619133090151221880856778400384233299729589477943375473329312008490308080776991450880818458935869179539768673691144532117523458537993902983140539573757377856778279243021058637147916979373219813815544538220567156711185145395704450230971844212203490862550198722044170982940946352435364055016757045824258078162883529725040684839431846867742246694193558979671265079447326638708451638894519638097559924598028347596580616771038191743642850336124026764074507420013968572816591997785661472304306879240088523103878763596461069488318283486260008807077859408579789894019081790143580927811573835301300885430424442878969620167703980625367547495003313093699468520637863721132532107470095724259434811031364510918415401074971494953546772436206896115967035582042726108083619487885965974909787536897636270542785232366848009201766109991854623680734449802843135029417259186924576813204249521555101942454119857729940962937905598179157861276173435172240760745731742582807544398551308898593396028375210114257579119560326102988201557460572508794286836107595369880070056058213407770890443069716587548815594498782321317296431710399997020011941103414601191113981279627799216568597894822151672437369413694435097238358670027389482637275132865147473985726176825280707142529796511833113318247753019600285561843659156731417423510442068122492875419768096378741164554201764216389464855686383047156306030951442806558218724106380383948786623960370772876351113112931321085760441098782844317365474710264339715130858712930401178984340830194961757865624402444785940352760810886258246574390905243924373403760406890052124042846734781397923783174247178194233708779416441011586296810968370112720476819959896894086660017069754842853787729001991852960496283405362189444404819751465460789277016868447402209574356193946595743963251532903499371042752767868661309634316142709302616778414464394563046359066885224522665963159526260249346992347556222465020268854347677892783218778027840230575583406377105961134393400387048078125834836770026961408125799392744572744270189671881090903414732382065034476413159970396360569528258920656933829592344934135880525207052689070014257094998229779107116521977191039055132264283326633353201856766484737881479476127757470759411603467327599397412916583292520442301541045123525559407258533598066546574598029484763703059185514182585085648489018641677474787436972432210147302746762475026243045006128018159382073091654777856181598015499422415999092196452292243}
30616 1850855306009853202893298973567255218564209993961576146818462166153923979251866907942867: {703639,1802863,2262698,2325068,3264463,3727466,4160648,4539583,4680729,5084983,5920298,6478508,6898303,7210508,8163343,8351889,8884639,8917388,9942725,10135628,10503343,11778305,11931270,12569708,12652543,12726688,12830066,12956168,13554386,14133966,14218305,14317524,14435623,14575689,15146839,15166192,16742863,16826150,17061966,17096743,17346152,17627023,18608498,18621393,19514421,19852748,20191380,20986798,21537472,22032044,22168325,22195639,22559786,23765743,24229656,24635503,24651272,25503463,25676839,26136746,26601990,27106988,27258363,27427569,27569288,27732681,28096543,28268839,28375456,29129239,29629113,29981140,30161733,31015449,31015783,31475186,31922388,32889644,34005489,34253839,34932223,35101639,35533868,35778583,35906825,35977368,36075626,36116623,36176865,37465903,37634239,37802503,37838546,38588656,38642743,38679905,40150639,40474539,40482725,41152663,42725708,42830200,42968373,43088190,43314823,43363221,43412238,43443308,43480639,43577192,43805546,44183765,44854226,45134839,45959239,45960736,46415886,46617463,47026988,47438623,48183975,48257983,48340466,48458444,48579270,48863841,49024341,49412108,50266265,50772266,51152825,51244089,51396240,51705828,51817888,52032044,52489639,52867633,53020518,53459468,54822656,54908839,56003649,56512639,57036273,57152143,57361875,57664833,57734828,57820770,58295124,59063743,59857183,60105548,60319518,60579308,61114346,61186000,61280839,61289708,61383390,61675488,62146833,62698663,62709644,62855839,62896889,62946188,63527865,63850088,64191698,64267183,64387813,64444713,65048743,65073644,65293832,65360863,65365701,65475616,65984239,66139903,67002729,67177669,67763056,67900325,68834250,68910545,68920558,68955506,69384924,69807633,71326826,71402361,71808950,71831349,71911148,72146444,72267305,72340946,72359889,72652281,73423200,73455561,73544361,73660068,73679239,73984325,74438839,75347983,75525190,76233438,76384466,76823048,77609503,77727698,78001809,78252908,78318080,78809023,78958639,78979505,79854823,81045703,81434405,81480390,81935839,82083943,82401441,82601100,82609305,82692654,82701644,82823383,83077586,83104325,84409298,84534801,85030903,86142725,86170740,86201623,86402546,86425929,86720766,86912416,86930983,87605228,87659313,87949063,88107840,88116592,88304588,88781190,88933173,89468302,90630228,90866444,91915456,91982590,92680298,93981696,94605238,94699936,94775406,95825503,96101765,96248863,96442508,96468449,97721286,97776468,97795639,97926506,98065388,98457940,98783529,99121320,99131166,99725190,...,1403922553142498009809498092619106920488777654282855758213384970401811326707367308829649313817066799202117760461116866475547665204473571617459899461610124989769101943524010480471960917094485248748266342420846258215582900794460243292118584917342417435968498450730691781477860265067942790126487716116900279645355641799454909571809444036049726149011708832725885118879145246066990779940446684856405473444263406577776373494721731733029731882362316492733223965436794103660557346350100956743471283029430715456727376565679426242592160549189396538704897240094421916177517083427015129825972653439684338400844855712973680730191263348346480507201747443636420856697296170835692262213009537238468841434346949676978075413887358680039886730096656208216844965482826253644404375711722750215189898009077880762725508070690039840692575749496927268439990216659376177695172632575484203081853312410012588470333621646965512681412716659080573278617624832164570810890399641855218430006889276000101626851425423300374487343741817403470815226498968248923166299819041432052274468173288013168991641243330383502650511357913591450658040673534453616141115921905083196083037903694223122374606720039205452059208285424676554014270647171926862242225072153817788677686124351291478905988163457873052524519302985843582220399771278382219344413659794594713546069864120439555199441009849326200007989082874983215531309714654837029624066567964420091481037558578963299193928146790406286957677975961991936875386218835994816742854522050837878284248643445391302166413327100992751344822316465386564915488709696814712903279546876249822661139135075629333889228089649602263764321921529536251349284206511935111911074469133290367626318339584548233090398500814977669556420813068971688902925206246547345037164737143744608858293843779176402396030041184056615629657290861495597908503604661814682542311805634595908629912131483250564946513027579708106318641614661699656639865408056892905809809993762709993414300596980340154484612992699311417365031581961536294237577857050037606424942076224712331398378775887477342138348858488224038194863989402451584988296145797408844148384966772999474242407690312231884640711091661630500667690466553561229823844366224072987706342636182429765029301741922594687525826781033670484037381055671559035178837338133840259178499327277516778910856345062615855175490710700222445396237359546057405734976021281964511002099318096858374195357376372597102081097445105742151821472825510786868295841142371200512311066306119303924500631105749344653744107702655267841091278581158906053024898254859376156697944717325203977520719431676503809037705657361411516197222639164293085087392717627422875614913527194272600307962458949604654483400264962725561310587928469913818740022342727765677437550511372966720913119242462490322995592258078639561686772596435518277935518526026184130079899464037796795440822361384255658190467114832035685432676560018624763755455997047548629739075838986784697471838351461948092651091044648346678409437145878106386525358775720191441237082098447068401180573899257171959493556938640833823396660004417458265958027517151628176709476626794299012579748041819347891220534766628659938062363248275861487956047442723634810778159317181287966546383382530181694057046976489130678935688146655806164907645933070457513372556345582566102417605666028740135923272159810306587950583874130905543815034897913562987680994308990110410059198068411864791194704500280152343438826080434803984268743280763345059049114810127159840093408077617877027853924092955450065087459331709761756395242280533329360015921471219468254818641706170398955424797193096202229916492551592580129651144893369852643516366843820196631980968235767040942856706395349110817757663670692800380749124878875641889898013922757496657167226357461838321552738935685621852619807581844062875074707935257075410958298808507178598382165280494363835134817483908428114347254798377125756487299613685786286841144950573868238645787773593282343820832536593047920470347747848344328765854540325232497871680542520069498723795646375197231710898996237592311611705888588015448395747957826816960635759946529192115546689426339790471716972002655803947328377873816252592539759668620614385702689157929869612765808258595460991951002043871332494723670357158215079512421523612403489037885952526084061812089180299363554617546035013665795989796741629953360358472463570523710958370703786974100777875169474614845857867182730770834446449026702615210834399190326096992360252895841454537886309842753379301884213293861814092704345227542578439456459912181174033609403585426685676126664306372142822029302921385406843019044435511137602475688646317175305968170343294345882137956436799196550555444390027256402054726831367412543011378130755395432797372646351604078914018910113447531318691522236633049915963242946863070329016633368324060008170690879176097455539703808242130687332563221332122928603056324}
30617 1856547895410439809546240456691973949585697378286652614024085964276905998392997118243104: {2906335,3394047,3487602,3640567,4374799,5200810,5591199,6240972,7403506,8098135,8880447,9013135,9717762,9754063,10815762,11135852,11146735,11336647,11955607,12669535,13270418,13376082,15177883,15203442,15712135,15799003,15908360,16195210,17812399,17896905,18670327,18845288,18854562,18957740,19090032,19245099,19434252,20331579,21200949,21299623,21476286,21569863,21682690,22076594,22337167,22507243,22749288,23803903,24123127,24411847,24815935,24828524,25239225,25592949,25700119,26004007,26019228,26921840,27470743,27540055,27912747,28811479,29779122,29876143,30287070,30814090,31480197,31595938,31668943,32306208,32553103,33048066,33765074,33839679,33883735,34164962,34234219,34461610,35469320,36344484,36565903,36570092,36848503,36976908,37476425,37902799,38130043,39205119,39505484,39902985,40215644,40660482,41112055,41353932,42421327,42563184,42596458,42965954,43059487,44417335,44495323,44791279,44971710,45340652,45916783,46327663,46584043,47212779,47883582,47969824,48235820,49334466,49923602,51396874,51590719,52235119,52585423,53300802,53400247,53407135,53537750,53966052,54113439,54261727,54304135,54471490,55466767,55868827,56499823,56757819,57132103,57291164,57450920,57817628,57882984,57944042,58523743,58722866,58783735,58829383,59292674,59910763,60573055,61261234,61765135,61887848,61988203,62834503,64088562,64245300,64632285,64772360,65040055,65118357,65151788,65164962,65365788,65708319,66824335,67220167,67281339,67854463,68038807,68325452,68439319,68528320,68941104,69623829,69896119,70540482,70694024,70835239,71789938,72168535,72233179,72510699,72687666,72868905,73820623,74118162,74454082,74671532,75131935,75724135,75800626,75832363,76017847,76048364,76158399,76482500,76612135,76886444,77094360,77102018,77558742,77726832,77726834,78048066,78162583,78387055,78682735,79530777,79812610,79834843,80147143,80189202,80426024,81342055,81617290,81844520,82233984,82862444,83249314,83808223,84141223,84703820,85771183,85926284,86201119,86417162,86602242,86731155,87154268,87442686,87469303,88994107,89336972,89485807,89888935,90158322,90183055,90479277,90868962,91612034,91671519,91779000,91827538,91934562,92075085,92320234,92513232,93076844,93656287,94064466,94395499,94419282,94796023,95203148,95775132,96028810,96287547,96479852,96557563,96869708,97610466,97698799,97816135,97897600,97940748,98059148,98213424,98779783,...,2105883829713747014714247138928660380733166481424283637320077455602716990061050963244473970725600198803176640691675299713321497806710357426189849192415187484653652915286015720707941375641727873122399513631269387323374351191690364938177877376013626153952747676096037672216790397601914185189731574175350419468033462699182364357714166054074589223517563249088827678318717869100486169910670027284608210166395109866664560242082597599544597823543474739099835948155191155490836019525151435115206924544146073185091064848519139363888240823784094808057345860141632874266275625140522694738958980159526507601267283569460521095286895022519720760802621165454631285045944256253538393319514305857703262151520424515467113120831038020059830095144984312325267448224239380466606563567584125322784847013616821144088262106035059761038863624245390902659985324989064266542758948863226304622779968615018882705500432470448269022119074988620859917926437248246856216335599462782827645010333914000152440277138134950561731015612726105206222839748452373384749449728562148078411702259932019753487461864995575253975767036870387175987061010301680424211673882857624794124556855541334683561910080058808178088812428137014831021405970757890293363337608230726683016529186526937218358982245186809578786778954478765373330599656917573329016620489691892070319104796180659332799161514773989300011983624312474823296964571982255544436099851946630137221556337868444948790892220185609430436516963942987905313079328253992225114281783076256817426372965168086953249619990651489127017233474698079847373233064545222069354919320314374733991708702613444000833842134474403395646482882294304377023926309767902667866611703699935551439477509376822349635597751222466504334631219603457533354387809369821017555747105715616913287440765668764603594045061776084923444485936292243396862755406992722023813467708451893862944868197224875847419769541369562159477962421992549484959798112085339358714714990644064990121450895470510231726919489048967126047547372942304441356366785575056409637413114337068497097568163831216013207523287732336057292295984103677377482444218696113266222577450159499211363611535468347826961066637492445751001535699830341844735766549336109481559513954273644647543952612883892031288740171550505726056071583507338552768256007200760388767748990916275168366284517593923782763236066050333668094356039319086108602464031922946766503148977145287561293036064558895653121646167658613227732209238266180302443761713556800768466599459178955886750946658624016980616161553982901761636917871738359079537347382289064235046917075987805966281079147514755713556558486042117274295833958746439627631089076441134313422370290791408900461943688424406981725100397444088341965881892704870728110033514091648516156325767059450081369678863693735484493388387117959342530158894653277416903277789039276195119849196056695193161233542076383487285700672248053528149014840027937145633183995571322944608613758480177046207757527192922138976636566972520017614155718817159579788038163580287161855623147670602601770860848885757939240335407961250735094990006626187398937041275727442265064214940191448518869622062729021836830802149942989907093544872413792231934071164085452216167238975771931949819575073795272541085570464733696018403532219983709247361468899605686270058834518373849153626408499043110203884908239715459881925875811196358315722552346870344481521491463485165615088797102617797186792056750420228515158239120652205976403114921145017588573672215190739760140112116426815541780886139433175097631188997564642634592863420799994040023882206829202382227962559255598433137195789644303344874738827388870194476717340054778965274550265730294947971452353650561414285059593023666226636495506039200571123687318313462834847020884136244985750839536192757482329108403528432778929711372766094312612061902885613116437448212760767897573247920741545752702226225862642171520882197565688634730949420528679430261717425860802357968681660389923515731248804889571880705521621772516493148781810487848746807520813780104248085693469562795847566348494356388467417558832882023172593621936740225440953639919793788173320034139509685707575458003983705920992566810724378888809639502930921578554033736894804419148712387893191487926503065806998742085505535737322619268632285418605233556828928789126092718133770449045331926319052520498693984695112444930040537708695355785566437556055680461151166812754211922268786800774096156251669673540053922816251598785489145488540379343762181806829464764130068952826319940792721139056517841313867659184689868271761050414105378140028514189996459558214233043954382078110264528566653266706403713532969475762958952255514941518823206934655198794825833166585040884603082090247051118814517067196133093149196058969527406118371028365170171296978037283354949574873944864420294605493524950052486090012256036318764146183309555712363196030998844831998184392904584486}
30618 1862257892160482477743789773406873948703906279455689030306753376466455279112342844623444: {1253657,1407278,1802981,1863977,2412581,2717081,3082217,3325481,3605726,3872357,4525396,4539881,4600517,4650136,5231403,5811557,6528926,6898757,6959081,7454932,7622117,7801215,8224037,8321296,8404457,9079166,9361458,9425477,10169966,10504037,10563881,10862981,11105259,11840596,12712937,12957016,13010597,13545881,13783577,13796606,13919815,14421016,14436581,14576643,15029381,15325481,15680537,16223643,16326686,16448837,16489627,16703778,17156837,17769278,17834776,18216677,19742981,19885450,19905627,20064123,20271256,20679557,20971817,21006686,22080581,22430117,22805163,23556610,23697175,23862540,24292815,24695081,25139416,25305086,25453376,25505177,25562981,25660132,25912336,26082857,27108772,28098437,28267932,28281843,28436610,28635048,28871246,28959257,29151378,30161381,30293678,30332384,30504197,31017881,31035655,31074917,32100197,32213957,32214429,32524035,32952617,33114891,33485726,33652300,34123932,34193486,34692304,34765097,35254046,35781017,36119081,36175397,37216996,37242786,37524581,37861157,38309477,38701337,39028842,39705496,39986117,40382760,41155481,41655557,41973596,41988581,42321317,42875237,43074944,43151897,43317797,43373081,44064088,44336650,44391278,44668683,45119572,45302981,45430605,45712615,46221135,46346537,46456217,46675481,47393907,47531486,47988377,48315881,48459312,49078937,49271006,49302544,49381855,49405481,49572099,50269555,50437637,50647611,50762981,51006926,51247443,51353678,51692415,51899417,52169477,52273492,53140037,53203980,53678117,54151867,54213976,54269081,54516726,54751877,54855138,55138576,55394597,55465362,55875881,56193086,56537678,56675815,56750912,56889797,57156137,57209381,57528677,57953957,58258478,58272581,59067881,59258226,59385497,59962280,60294775,60323466,60969257,60990723,61857271,61968581,62030898,62031566,62703077,62950372,63844776,63894687,64271717,64323881,64448931,65365481,65417477,65779288,66144581,66196457,67439081,67457565,67697381,68010978,68161817,68507678,68677097,69448517,69864446,70203278,70296523,70372771,70832537,71067736,71088197,71547881,71557166,71613955,71813650,71825373,71954736,72151252,72233246,72272035,72353730,72617957,73278617,73380137,74001699,74292377,74332687,74646437,74798057,74885403,74931806,75268478,75353381,75605006,75677092,77063717,77095311,77177312,77285486,77359810,77665157,77915417,78365381,79163717,79860581,79951203,80301278,80306625,80803817,80949078,80965450,81051557,81439735,81707235,82139237,82305326,82878617,83763497,84498917,84792581,85037081,85406815,85451416,85525481,85660400,85936746,86176380,86207897,86629646,86726442,86824476,86886616,86916063,86961278,86985881,87154384,87277097,87422597,87519557,87611092,87955481,88084299,88245737,88367530,88939011,88970117,89114777,89708452,90269678,90605381,91276037,91562981,91891851,91918478,91921472,92707877,92831772,93234926,93339415,94053976,94700357,94877246,95060455,95172677,95549957,95603125,95879657,96108055,96132843,96255977,96302981,96367950,96474763,96515966,96680932,96916888,97158540,97428677,97727682,97747443,97989797,98048682,98129897,98642981,98824216,98922437,99387557,99526937,...,3158825744570620522071370708392990571099749722136425455980116183404075485091576444866710956088400298204764961037512949569982246710065536139284773788622781226980479372929023581061912063462591809683599270446904080985061526787535547407266816064020439230929121514144056508325185596402871277784597361263025629202050194048773546536571249081111883835276344873633241517478076803650729254866005040926912315249592664799996840363123896399316896735315212108649753922232786733236254029287727152672810386816219109777636597272778709045832361235676142212086018790212449311399413437710784042108438470239289761401900925354190781642930342533779581141203931748181946927568916384380307589979271458786554893227280636773200669681246557030089745142717476468487901172336359070699909845351376187984177270520425231716132393159052589641558295436368086353989977987483596399814138423294839456934169952922528324058250648705672403533178612482931289876889655872370284324503399194174241467515500871000228660415707202425842596523419089157809334259622678560077124174592843222117617553389898029630231192797493362880963650555305580763980591515452520636317510824286437191186835283312002025342865120088212267133218642205522246532108956136835440045006412346090024524793779790405827538473367780214368180168431718148059995899485376359993524930734537838105478657194270988999198742272160983950017975436468712234945446857973383316654149777919945205832334506802667423186338330278414145654775445914481857969618992380988337671422674614385226139559447752130429874429985977233690525850212047119771059849596817833104032378980471562100987563053920166001250763201711605093469724323441456565535889464651854001799917555549903327159216264065233524453396626833699756501946829405186300031581714054731526333620658573425369931161148503146905391067592664127385166728904438365095294133110489083035720201562677840794417302295837313771129654312054343239216943632988824227439697168128009038072072485966097485182176343205765347590379233573450689071321059413456662034550178362584614456119671505602745646352245746824019811284931598504085938443976155516066223666328044169899333866175239248817045417303202521740441599956238668626502303549745512767103649824004164222339270931410466971315928919325838046933110257325758589084107375261007829152384010801140583151623486374412752549426776390885674144854099075500502141534058978629162903696047884420149754723465717931341939554096838343479682469251487919841598313857399270453665642570335201152699899188768433830126419987936025470924242330974352642455376807607538619306021073433596352570375613981708949421618721272133570334837729063175911443750938119659441446633614661701470133555436187113350692915532636610472587650596166132512948822839057306092165050271137472774234488650589175122054518295540603226740082580676939013795238341979916125354916683558914292679773794085042789741850313114575230928551008372080292223522260041905718449775993356984416912920637720265569311636290789383208464954850458780026421233578225739369682057245370430742783434721505903902656291273328636908860503111941876102642485009939281098405561913591163397596322410287172778304433094093532755246203224914484860640317308620688347901106746128178324250858463657897924729362610692908811628355697100544027605298329975563871042203349408529405088251777560773730439612748564665305827362359573189822888813716794537473583828520305516722282237195227748422633195653926695780188085125630342772737358680978308964604672381717526382860508322786109640210168174640223312671329209149762646446783496346963951889295131199991060035823310243803573341943838883397649705793684466455017312108241083305291715076010082168447911825398595442421957178530475842121427589389535499339954743259058800856685530977470194252270531326204367478626259304289136223493662605292649168394567059149141468918092854328419674656172319141151846359871881112318629053339338793963257281323296348532952096424130793019145392576138791203536953022490584885273596873207334357821058282432658774739723172715731773120211281220670156372128540204344193771349522741534582701126338249323034758890432905110338161430459879690682259980051209264528561363187005975558881488850216086568333214459254396382367831050605342206628723068581839787231889754598710498113128258303605983928902948428127907850335243393183689139077200655673567997889478578780748040977042668667395060806563043033678349656334083520691726750219131317883403180201161144234377504510310080884224377398178233718232810569015643272710244197146195103429239479911189081708584776761970801488777034802407641575621158067210042771284994689337321349565931573117165396792849979900059605570299454213644438428383272412278234810401982798192238749749877561326904623135370576678221775600794199639723794088454291109177556542547755256945467055925032424362310917296630441908240287425078729135018384054478146219274964333568544794046498267247997276589356876729}
30619 1867985349182294788605731663873116218282370886455565287369117561911524751190769061682838: {2110917,4068869,5170217,5408589,5656745,5812670,6788094,6975204,7281134,8749598,9318665,9793389,10401620,10426757,11182398,11337389,11527529,12481944,12618389,13362149,13618749,14042187,14800745,14807012,15254949,15605429,16196270,17737349,17760894,18026270,18671549,19435524,19508126,20694909,21051017,21631524,21996989,22271704,22293470,22338629,22673294,23805461,23911214,24490029,24965069,25055667,25339070,26005709,26529701,26540836,26599469,26653917,26752164,27283829,27472541,29365277,29828175,30216917,30355766,30406884,31424270,31510029,31598006,31816720,32075165,32390420,32783369,33885965,34742309,35308169,35334915,35394701,35624798,35793810,37340654,37690576,37709124,37886489,37915480,37957629,38180064,38471849,38490198,38556077,38868504,40663158,41183621,42065375,42401898,42599246,42654915,42952572,43139726,43214249,43306869,43365380,43727067,44153188,44674334,44794217,45014486,45440517,45498576,46521245,46587101,47045189,47437229,47607806,48125309,48246254,48587549,48823694,49631870,49657048,50228589,50478450,51185898,51290229,51400238,52008014,52038456,52466995,52881069,53843680,54005801,54265289,54941486,55053869,55080110,55449389,55825494,55837541,55864179,56399465,56503529,57556877,57622958,58543263,59558244,59682629,59752286,59867369,60574140,60580157,61628180,61699109,61992269,62146409,62184269,62960394,63146861,63191876,63337886,64604489,64612416,65106206,65341865,66096132,66504975,66586917,67167917,67530148,67679358,67767470,68329924,68468438,68923220,70803629,70938640,71297229,72237917,72688968,73131806,73140184,73697006,73906509,73953816,74716541,74769989,74952850,75805598,75837341,76025789,76260086,76323017,76510389,77030517,77421629,78410238,78687965,79010968,79805970,80431288,80502917,81320964,81775089,82224110,82282707,82297229,82404809,82707864,83198043,84289629,84802277,84806517,84842654,85126368,85192916,85776809,85931908,86118974,86471189,87358181,87387717,87896429,88834670,88887339,88990646,88999949,89582558,89943420,90189065,90485199,90681304,91056077,91686437,91833566,92655326,93046347,93047349,93168086,93554069,94350269,94425558,94596365,95767164,95939648,96471640,98668932,99847204,...,4211767659427494029428494277857320761466332962848567274640154911205433980122101926488947941451200397606353281383350599426642995613420714852379698384830374969307305830572031441415882751283455746244799027262538774646748702383380729876355754752027252307905495352192075344433580795203828370379463148350700838936066925398364728715428332108149178447035126498177655356637435738200972339821340054569216420332790219733329120484165195199089195647086949478199671896310382310981672039050302870230413849088292146370182129697038278727776481647568189616114691720283265748532551250281045389477917960319053015202534567138921042190573790045039441521605242330909262570091888512507076786639028611715406524303040849030934226241662076040119660190289968624650534896448478760933213127135168250645569694027233642288176524212070119522077727248490781805319970649978128533085517897726452609245559937230037765411000864940896538044238149977241719835852874496493712432671198925565655290020667828000304880554276269901123462031225452210412445679496904746769498899457124296156823404519864039506974923729991150507951534073740774351974122020603360848423347765715249588249113711082669367123820160117616356177624856274029662042811941515780586726675216461453366033058373053874436717964490373619157573557908957530746661199313835146658033240979383784140638209592361318665598323029547978600023967248624949646593929143964511088872199703893260274443112675736889897581784440371218860873033927885975810626158656507984450228563566152513634852745930336173906499239981302978254034466949396159694746466129090444138709838640628749467983417405226888001667684268948806791292965764588608754047852619535805335733223407399871102878955018753644699271195502444933008669262439206915066708775618739642035111494211431233826574881531337529207188090123552169846888971872584486793725510813985444047626935416903787725889736394449751694839539082739124318955924843985098969919596224170678717429429981288129980242901790941020463453838978097934252095094745884608882712733571150112819274826228674136994195136327662432026415046575464672114584591968207354754964888437392226532445154900318998422727223070936695653922133274984891502003071399660683689471533098672218963119027908547289295087905225767784062577480343101011452112143167014677105536512014401520777535497981832550336732569035187847565526472132100667336188712078638172217204928063845893533006297954290575122586072129117791306243292335317226455464418476532360604887523427113601536933198918357911773501893317248033961232323107965803523273835743476718159074694764578128470093834151975611932562158295029511427113116972084234548591667917492879255262178152882268626844740581582817800923887376848813963450200794888176683931763785409741456220067028183297032312651534118900162739357727387470968986776774235918685060317789306554833806555578078552390239698392113390386322467084152766974571401344496107056298029680055874291266367991142645889217227516960354092415515054385844277953273133945040035228311437634319159576076327160574323711246295341205203541721697771515878480670815922501470189980013252374797874082551454884530128429880382897037739244125458043673661604299885979814187089744827584463868142328170904432334477951543863899639150147590545082171140929467392036807064439967418494722937799211372540117669036747698307252816998086220407769816479430919763851751622392716631445104693740688963042982926970331230177594205235594373584113500840457030316478241304411952806229842290035177147344430381479520280224232853631083561772278866350195262377995129285269185726841599988080047764413658404764455925118511196866274391579288606689749477654777740388953434680109557930549100531460589895942904707301122828570119186047332453272991012078401142247374636626925669694041768272489971501679072385514964658216807056865557859422745532188625224123805771226232874896425521535795146495841483091505404452451725284343041764395131377269461898841057358860523434851721604715937363320779847031462497609779143761411043243545032986297563620975697493615041627560208496171386939125591695132696988712776934835117665764046345187243873480450881907279839587576346640068279019371415150916007967411841985133621448757777619279005861843157108067473789608838297424775786382975853006131613997484171011071474645238537264570837210467113657857578252185436267540898090663852638105040997387969390224889860081075417390711571132875112111360922302333625508423844537573601548192312503339347080107845632503197570978290977080758687524363613658929528260137905652639881585442278113035682627735318369379736543522100828210756280057028379992919116428466087908764156220529057133306533412807427065938951525917904511029883037646413869310397589651666333170081769206164180494102237629034134392266186298392117939054812236742056730340342593956074566709899149747889728840589210987049900104972180024512072637528292366619111424726392061997689663996368785809168972}
30620 1873730319558155864622878154596530144111417796077226195089244141615710077762959684630938: {1314811,1864099,2047051,2507314,2814556,3143251,3605962,3727954,3872611,4600819,4825162,5434162,5872411,6164434,6650962,6959539,7211452,7744714,8719005,9050792,9079762,9201034,9300272,9306091,9486091,10182141,10462806,10564579,10921701,11102851,11461339,11623114,11998531,12356299,13002025,13057852,13070971,13124397,13249459,13797514,13918162,14674771,14909864,15244234,15602430,15740731,16448074,16642592,16773597,16808914,18158332,18217891,18508765,18722916,18850954,18923059,19487741,19802899,20154331,20339932,21008074,21127762,21725962,22082059,22210518,22606291,22955419,23478571,23681192,24294405,25425874,25564699,25914032,26021194,26641341,27039405,27091762,27567154,27593212,27812971,27839630,28842032,28873162,29153286,29262189,29362339,29877499,30058762,30220579,30563371,30650962,30734659,31077019,31361074,32273011,32447286,32653372,32897674,32979254,33176045,33407556,33440205,34009941,34313674,35538556,35669552,35866821,36177859,36346771,36433354,38008605,39485962,39770900,39811254,40128246,40488025,40542512,40880179,41359114,41713939,41943634,42013372,42213331,42379651,43210171,43376059,43449917,44161162,44860234,44865811,45533649,45610326,46349731,47113220,47136405,47394350,47397009,47725080,48585630,48973411,49136779,49390162,50278339,50278832,50603851,50610172,50906752,51010354,51125962,51254011,51320264,51416371,51824672,52165714,52712659,53437197,53520499,53681851,53690715,54206725,54217544,55191485,55451971,55933219,56010981,56196874,56535864,56563686,56873220,57053611,57213379,57270096,57692251,57735297,57742492,57918514,58011139,58302756,59442571,60322762,60587356,60664768,60994737,61008394,61026211,62035762,62071310,62149834,63602847,63898869,63997661,64200394,64328419,64427914,64428858,64709589,65048070,65422099,65905234,66201139,66229782,66971452,67011501,67304600,67521729,68247864,68386972,68681971,69134597,69384608,69530194,70377377,70508092,70837579,71297659,71411709,71562034,71604019,72238162,72350794,72369381,72674011,73235541,74348299,74433992,74447805,74485572,74803411,75049162,75717675,75722314,75862819,76618954,76778847,77035225,77100357,77402674,77820931,77971051,78012021,78057684,78989845,79318891,79346141,79410992,79972234,80065171,80765520,82310962,82412229,82620165,83077709,83311114,83738241,83769571,83947192,83977162,84412685,84642634,84798739,85412405,85750474,86149888,86154025,86303794,86434437,86635594,86746162,86846491,87847721,88128176,88673300,88782556,89024851,89169499,89337366,89628429,90239144,90605962,90861210,91187011,91425230,91617499,92442270,92693074,92912434,93350962,94440591,94787814,95006829,95062972,95179699,95321251,95604139,95976754,96027931,96310099,96631762,96918624,97659309,98157874,98542012,98605088,98763710,98810962,98976331,99144198,...,6317651489141241044142741416785981142199499444272850911960232366808150970183152889733421912176800596409529922075025899139964493420131072278569547577245562453960958745858047162123824126925183619367198540893808161970123053575071094814533632128040878461858243028288113016650371192805742555569194722526051258404100388097547093073142498162223767670552689747266483034956153607301458509732010081853824630499185329599993680726247792798633793470630424217299507844465573466472508058575454305345620773632438219555273194545557418091664722471352284424172037580424898622798826875421568084216876940478579522803801850708381563285860685067559162282407863496363893855137832768760615179958542917573109786454561273546401339362493114060179490285434952936975802344672718141399819690702752375968354541040850463432264786318105179283116590872736172707979955974967192799628276846589678913868339905845056648116501297411344807066357224965862579753779311744740568649006798388348482935031001742000457320831414404851685193046838178315618668519245357120154248349185686444235235106779796059260462385594986725761927301110611161527961183030905041272635021648572874382373670566624004050685730240176424534266437284411044493064217912273670880090012824692180049049587559580811655076946735560428736360336863436296119991798970752719987049861469075676210957314388541977998397484544321967900035950872937424469890893715946766633308299555839890411664669013605334846372676660556828291309550891828963715939237984761976675342845349228770452279118895504260859748859971954467381051700424094239542119699193635666208064757960943124201975126107840332002501526403423210186939448646882913131071778929303708003599835111099806654318432528130467048906793253667399513003893658810372600063163428109463052667241317146850739862322297006293810782135185328254770333457808876730190588266220978166071440403125355681588834604591674627542259308624108686478433887265977648454879394336256018076144144971932194970364352686411530695180758467146901378142642118826913324069100356725169228912239343011205491292704491493648039622569863197008171876887952311032132447332656088339798667732350478497634090834606405043480883199912477337253004607099491025534207299648008328444678541862820933942631857838651676093866220514651517178168214750522015658304768021602281166303246972748825505098853552781771348289708198151001004283068117957258325807392095768840299509446931435862683879108193676686959364938502975839683196627714798540907331285140670402305399798377536867660252839975872050941848484661948705284910753615215077238612042146867192705140751227963417898843237442544267140669675458126351822887501876239318882893267229323402940267110872374226701385831065273220945175301192332265025897645678114612184330100542274945548468977301178350244109036591081206453480165161353878027590476683959832250709833367117828585359547588170085579483700626229150461857102016744160584447044520083811436899551986713968833825841275440531138623272581578766416929909700917560052842467156451478739364114490740861485566869443011807805312582546657273817721006223883752205284970019878562196811123827182326795192644820574345556608866188187065510492406449828969721280634617241376695802213492256356648501716927315795849458725221385817623256711394201088055210596659951127742084406698817058810176503555121547460879225497129330611654724719146379645777627433589074947167657040611033444564474390455496845266391307853391560376170251260685545474717361956617929209344763435052765721016645572219280420336349280446625342658418299525292893566992693927903778590262399982120071646620487607146683887677766795299411587368932910034624216482166610583430152020164336895823650797190884843914357060951684242855178779070998679909486518117601713371061954940388504541062652408734957252518608578272446987325210585298336789134118298282937836185708656839349312344638282303692719743762224637258106678677587926514562646592697065904192848261586038290785152277582407073906044981169770547193746414668715642116564865317549479446345431463546240422562441340312744257080408688387542699045483069165402252676498646069517780865810220676322860919759381364519960102418529057122726374011951117762977700432173136666428918508792764735662101210684413257446137163679574463779509197420996226256516607211967857805896856255815700670486786367378278154401311347135995778957157561496081954085337334790121613126086067356699312668167041383453500438262635766806360402322288468755009020620161768448754796356467436465621138031286545420488394292390206858478959822378163417169553523941602977554069604815283151242316134420085542569989378674642699131863146234330793585699959800119211140598908427288876856766544824556469620803965596384477499499755122653809246270741153356443551201588399279447588176908582218355113085095510513890934111850064848724621834593260883816480574850157458270036768108956292438549928667137089588092996534495994553178713753458}
30621 1879492856530791091252118453845640724092989859095182466259639107762270482739680715904242: {3518195,3760971,4221834,5408943,5591931,5720891,7237743,7919443,8137738,8151243,9014315,9246651,9976443,10340434,10817178,11313490,11617071,11625340,12322531,13046131,13576188,13619643,13801551,13950408,14562268,15694209,16322315,17434671,17499196,17814731,18637330,19586778,20696271,20721043,20803240,20853514,20877243,22364796,22674778,22697915,22866351,23055058,23403645,23850959,24415043,24672111,24963888,24966703,25213371,25236778,25424915,26724298,27237498,28084374,28276431,28815251,29367199,29601490,29614024,30509898,31210858,31353283,31512111,31691643,32392540,32588943,33315777,33895499,34491515,35044291,35474698,35521788,36052540,37343098,37907771,38138811,38871048,39016252,39031791,40637643,40816715,41350731,41389818,41441423,41759445,42102034,42343723,43263048,43309743,43729929,43993978,44423195,44543408,44586940,44677258,44905231,45088143,45346588,45976443,46938443,47041611,47440351,47610922,47822428,48670929,48980058,49346511,49468881,49713625,49930138,50111334,50678140,51336059,51470511,52011418,52516715,53059402,53081672,53198938,53307834,53504328,54567658,54650031,54945082,55057483,55474043,57730339,58573211,58730554,58891525,59228943,59656350,59716881,59918639,60192369,60433834,60711532,60813768,62038671,62451923,62848540,62915451,63020058,63151003,63196012,63262715,63633440,64150330,64780840,65129743,65566738,66241743,67290351,67771930,68415489,69059971,69484618,70616338,70669830,70789402,70844531,70957643,71091525,71249596,71587620,71594731,72178115,72878445,73435163,73453793,74085243,74681308,75038351,75381152,75418248,75651643,75734195,75772978,75830960,75915258,76360128,76515531,76688943,76943698,76980396,77112154,77737008,78248571,78959251,80046091,81326316,82367242,83714315,84130750,84295311,84803796,84845529,85198492,85309830,85483715,85905144,86279452,86428498,86613738,86730760,86877771,87454134,87793871,88135115,88306376,88811699,89308139,89348668,89497571,89588434,89779019,90028972,90484143,90881034,90997152,91478611,91512591,91692451,91797071,93042490,93053643,93106965,93174202,93224751,94090378,94874458,95139811,95215612,95401643,96250618,96300591,96492508,96641871,96643287,97175098,97572105,97647388,98857851,99263740,99314096,99344673,...,9476477233711861566214112125178971713299249166409276367940348550212226455274729334600132868265200894614294883112538848709946740130196608417854321365868343680941438118787070743185736190387775429050797811340712242955184580362606642221800448192061317692787364542432169524975556789208613833353792083789076887606150582146320639609713747243335651505829034620899724552434230410952187764598015122780736945748777994399990521089371689197950690205945636325949261766698360199708762087863181458018431160448657329332909791818336127137497083707028426636258056370637347934198240313132352126325315410717869284205702776062572344928791027601338743423611795244545840782706749153140922769937814376359664679681841910319602009043739671090269235428152429405463703517009077212099729536054128563952531811561275695148397179477157768924674886309104259061969933962450789199442415269884518370802509858767584972174751946117017210599535837448793869630668967617110852973510197582522724402546502613000685981247121607277527789570257267473428002778868035680231372523778529666352852660169694088890693578392480088642890951665916742291941774546357561908952532472859311573560505849936006076028595360264636801399655926616566739596326868410506320135019237038270073574381339371217482615420103340643104540505295154444179987698456129079980574792203613514316435971582812966997596226816482951850053926309406136704836340573920149949962449333759835617497003520408002269559014990835242436964326337743445573908856977142965013014268023843155678418678343256391289623289957931701071577550636141359313179548790453499312097136941414686302962689161760498003752289605134815280409172970324369696607668393955562005399752666649709981477648792195700573360189880501099269505840488215558900094745142164194579000861975720276109793483445509440716173202777992382155500186713315095285882399331467249107160604688033522383251906887511941313388962936163029717650830898966472682319091504384027114216217457898292455546529029617296042771137700720352067213963178240369986103650535087753843368359014516808236939056737240472059433854794795512257815331928466548198670998984132509698001598525717746451136251909607565221324799868716005879506910649236538301310949472012492667017812794231400913947786757977514140799330771977275767252322125783023487457152032403421749454870459123238257648280329172657022434562297226501506424602176935887488711088143653260449264170397153794025818662290515030439047407754463759524794941572197811360996927711005603458099697566305301490379259963808076412772726992923057927366130422822615857918063220300789057711126841945126848264856163816400711004513187189527734331252814358978324339900843985104410400666308561340052078746597909831417762951788498397538846468517171918276495150813412418322703465951767525366163554886621809680220247742030817041385715025939748376064750050676742878039321382255128369225550939343725692785653025116240876670566780125717155349327980070953250738761913160796707934908872368149625394864551376340079263700734677218109046171736111292228350304164517711707968873819985910726581509335825628307927455029817843295216685740773490192788967230861518334913299282280598265738609674743454581920951925862065043703320238384534972752575390973693774188087832078726434885067091301632082815894989926691613126610048225588215264755332682321191318838245693995917482087078719569468666441150383612420751485560916550166846711585683245267899586961780087340564255376891028318212076042934926893814017145152579148581524968358328920630504523920669938013987627449287939340350489040891855667885393599973180107469930731410720025831516650192949117381053399365051936324723249915875145228030246505343735476195786327265871535591427526364282768168606498019864229777176402570056592932410582756811593978613102435878777912867408670480987815877947505183701177447424406754278562985259023968516957423455539079615643336955887160018016381889771843969889045598856289272392379057436177728416373610610859067471754655820790619622003073463174847297976324219169518147195319360633843662010469116385620613032581314048568224603748103379014747969104276671298715331014484291379639072046779940153627793585684089561017926676644466550648259704999643377763189147103493151816026619886169205745519361695669263796131494339384774910817951786708845284383723551005730179551067417231601967020703993668435736342244122931128006002185182419689129101035048969002250562075180250657393953650209540603483432703132513530930242652673132194534701154698431707046929818130732591438585310287718439733567245125754330285912404466331104407222924726863474201630128313854984068011964048697794719351496190378549939700178816710898362640933315285149817236834704431205948394576716249249632683980713869406111730034665326802382598919171382265362873327532669627643265770836401167775097273086932751889891325724720862275236187405055152163434438657824893000705634382139494801743991829768070630187}
30622 1885273013503854274789762659764804622230002776847692811156611458143915782815255827683054: {887197,2534737,2629622,3447517,3728198,3994321,4094102,5014628,5267677,5629112,5812321,6286502,6332751,7080637,7211924,7455908,7745222,8525821,9201638,9650324,10684957,10868324,11744822,12206607,12328868,12655057,13301924,13904221,13919078,14422904,14531675,15149857,15327517,15489428,15510651,16225767,16923217,16970235,17438010,17807197,18101584,18159524,18202835,18402068,18600544,18612182,18972182,20364282,20925612,20974621,21129158,21843402,21873995,22200097,22205702,22922678,23246228,23997062,24712598,25682017,25912271,26004050,26115704,26141942,26201821,26248794,26498918,27595028,27836324,27955995,28274557,29349542,29380167,29819728,30488468,31022077,31204860,31280271,31481462,32218321,32896148,33285184,33547194,33617828,34012167,34582587,35108797,35954977,36316664,36435782,36968017,37017530,37445832,37641937,37701908,37810237,37846118,37855167,38650657,38975482,39605798,40086447,40308662,40490675,40679864,40856247,42016148,42126561,42255524,43451924,43489597,43655377,44164118,44402235,44421036,45065675,45212582,45309217,45764847,45910838,46446463,46462621,46791517,46816287,46957142,47362384,48588810,48770315,49738621,50851748,51129398,51828064,52042388,53212047,53282682,53793121,54078810,54183524,55134308,55186424,55625942,55679260,55733675,56014647,56524477,56683235,56684497,57323857,57684064,57746324,58306572,58524378,58724678,58917217,59393821,59754998,59778035,60117524,60441158,60661597,61126742,61301924,61469318,62084727,62154038,62722148,62869117,63153051,63347675,64437277,64546022,64894572,65306744,65795348,65958508,65990967,65998237,66153937,66352090,66815112,66880410,67015887,67551997,68016721,68019882,68627348,68789821,69252817,71077112,71339104,71416383,71733642,72355718,72628321,72693542,72866708,73390621,73470087,74895207,75167001,75889415,76017210,76119997,77268079,78017127,78376657,78560675,78971924,78975697,78995015,79541800,79589103,79622508,79798407,79872097,79961751,80256492,80976050,81085024,81760358,81851487,82101757,82417623,82718228,83136721,83427878,83873821,83887268,84026744,84426662,84759302,84902737,85095791,86420342,86752118,86899834,87532321,88095831,88322324,89061995,89484525,89720468,89731622,90650751,90714577,91067298,91220652,92699462,93351635,94226440,94272810,94530087,94788700,94794018,95450160,96225495,97171260,97204283,97946822,98182747,98273558,98350107,98780324,98937121,99634621,...,12635302978282482088285482833571962284398998888545701823920464733616301940366305779466843824353601192819059844150051798279928986840262144557139095154491124907921917491716094324247648253850367238734397081787616323940246107150142189629067264256081756923716486056576226033300742385611485111138389445052102516808200776195094186146284996324447535341105379494532966069912307214602917019464020163707649260998370659199987361452495585597267586941260848434599015688931146932945016117150908610691241547264876439110546389091114836183329444942704568848344075160849797245597653750843136168433753880957159045607603701416763126571721370135118324564815726992727787710275665537521230359917085835146219572909122547092802678724986228120358980570869905873951604689345436282799639381405504751936709082081700926864529572636210358566233181745472345415959911949934385599256553693179357827736679811690113296233002594822689614132714449931725159507558623489481137298013596776696965870062003484000914641662828809703370386093676356631237337038490714240308496698371372888470470213559592118520924771189973451523854602221222323055922366061810082545270043297145748764747341133248008101371460480352849068532874568822088986128435824547341760180025649384360098099175119161623310153893471120857472720673726872592239983597941505439974099722938151352421914628777083955996794969088643935800071901745874848939781787431893533266616599111679780823329338027210669692745353321113656582619101783657927431878475969523953350685690698457540904558237791008521719497719943908934762103400848188479084239398387271332416129515921886248403950252215680664005003052806846420373878897293765826262143557858607416007199670222199613308636865056260934097813586507334799026007787317620745200126326856218926105334482634293701479724644594012587621564270370656509540666915617753460381176532441956332142880806250711363177669209183349255084518617248217372956867774531955296909758788672512036152288289943864389940728705372823061390361516934293802756285284237653826648138200713450338457824478686022410982585408982987296079245139726394016343753775904622064264894665312176679597335464700956995268181669212810086961766399824954674506009214198982051068414599296016656889357083725641867885263715677303352187732441029303034356336429501044031316609536043204562332606493945497651010197707105563542696579416396302002008566136235914516651614784191537680599018893862871725367758216387353373918729877005951679366393255429597081814662570281340804610799596755073735320505679951744101883696969323897410569821507230430154477224084293734385410281502455926835797686474885088534281339350916252703645775003752478637765786534458646805880534221744748453402771662130546441890350602384664530051795291356229224368660201084549891096937954602356700488218073182162412906960330322707756055180953367919664501419666734235657170719095176340171158967401252458300923714204033488321168894089040167622873799103973427937667651682550881062277246545163157532833859819401835120105684934312902957478728228981481722971133738886023615610625165093314547635442012447767504410569940039757124393622247654364653590385289641148691113217732376374131020984812899657939442561269234482753391604426984512713297003433854631591698917450442771635246513422788402176110421193319902255484168813397634117620353007110243094921758450994258661223309449438292759291555254867178149894335314081222066889128948780910993690532782615706783120752340502521371090949434723913235858418689526870105531442033291144438560840672698560893250685316836599050585787133985387855807557180524799964240143293240975214293367775355533590598823174737865820069248432964333221166860304040328673791647301594381769687828714121903368485710357558141997359818973036235203426742123909880777009082125304817469914505037217156544893974650421170596673578268236596565875672371417313678698624689276564607385439487524449274516213357355175853029125293185394131808385696523172076581570304555164814147812089962339541094387492829337431284233129730635098958892690862927092480845124882680625488514160817376775085398090966138330804505352997292139035561731620441352645721839518762729039920204837058114245452748023902235525955400864346273332857837017585529471324202421368826514892274327359148927559018394841992452513033214423935715611793712511631401340973572734756556308802622694271991557914315122992163908170674669580243226252172134713398625336334082766907000876525271533612720804644576937510018041240323536897509592712934872931242276062573090840976788584780413716957919644756326834339107047883205955108139209630566302484632268840171085139978757349285398263726292468661587171399919600238422281197816854577753713533089649112939241607931192768954998999510245307618492541482306712887102403176798558895176353817164436710226170191021027781868223700129697449243669186521767632961149700314916540073536217912584877099857334274179176185993068991989106357427506916}
30623 1891070844042411240789559983005475098898523734464452805906484265935314677219768018785973: {3944433,4925473,5592297,6141153,6268285,6393937,6761053,7036390,7521942,8443668,9014905,9319885,9429753,10817886,11183862,11441782,11617833,12062905,12620041,13585405,13802457,14475486,15074461,15411085,15838886,16175233,16275476,16302486,16627405,17617233,17815897,18028630,18493302,19361785,19828897,19952886,20680868,20878617,21053773,21634356,22626980,22699405,22851241,23002585,23234142,23250680,24416641,24522817,24645062,26092262,26157015,27152376,27239286,27287401,27528253,27603102,27872977,27900816,27918273,28187497,28458273,28817137,29057785,29124536,30220873,30546423,31388418,31693737,31777081,32644630,32765103,32787661,33027793,33308553,34384017,34493785,34566697,34783921,34795405,34869342,34998392,35594881,35629462,35995593,36327517,37068897,37274660,38110585,39006075,39173556,39212913,39373191,39748377,40058317,41120185,41392542,41442086,41606480,41707028,41754486,42022285,42846217,44024313,44729592,44800093,45349556,45395830,45732702,46110116,46172221,46807290,47127385,47222193,47701918,48288121,48830086,49344222,49853857,49927776,49933406,50175577,50309341,50320791,50426742,50473556,50849830,52520185,52819405,53107321,53448596,53840257,54314905,54474996,54595057,54653673,55526295,56168748,56510941,56552862,56769177,57143401,57630502,58256953,58463223,58577053,58734398,59202980,59228048,59408697,60462993,60588121,61019796,62000401,62192473,62421716,62706566,63024222,63383286,63564685,64785080,65052985,65177886,65464177,66246177,66339517,66631554,67438561,67729405,67790998,67818873,68866257,68917885,68983030,69599075,70088582,70435713,70812937,70949396,70962301,71043576,71993521,72105080,72182905,72247393,72883215,73523401,74544217,74686196,75043273,75146905,75815542,76277622,76440937,76627405,76694097,77742096,78032504,78063582,78402685,78499657,79305601,79924023,81118215,81268381,81275286,81633430,82244185,82448135,82701462,82779636,82882846,83438913,83518890,84204068,84623641,84687446,85722253,85784185,85788061,86526096,86619486,87459858,87786567,87987956,88087017,88567801,88846390,89086816,89173880,89313997,89354516,89632497,89810462,90176286,90446521,90661737,90693176,91076617,91083385,91313437,91690113,91803097,91952886,92203977,92589361,93143977,93231057,93876886,94083222,94880702,95221844,95467321,95644856,96072841,96819033,97341858,97718137,97960116,98635597,98693022,98714905,98937762,99427250,99528135,99860276,...,18952954467423723132428224250357943426598498332818552735880697100424452910549458669200265736530401789228589766225077697419893480260393216835708642731736687361882876237574141486371472380775550858101595622681424485910369160725213284443600896384122635385574729084864339049951113578417227666707584167578153775212301164292641279219427494486671303011658069241799449104868460821904375529196030245561473891497555988799981042178743378395901380411891272651898523533396720399417524175726362916036862320897314658665819583636672254274994167414056853272516112741274695868396480626264704252650630821435738568411405552125144689857582055202677486847223590489091681565413498306281845539875628752719329359363683820639204018087479342180538470856304858810927407034018154424199459072108257127905063623122551390296794358954315537849349772618208518123939867924901578398884830539769036741605019717535169944349503892234034421199071674897587739261337935234221705947020395165045448805093005226001371962494243214555055579140514534946856005557736071360462745047557059332705705320339388177781387156784960177285781903331833484583883549092715123817905064945718623147121011699872012152057190720529273602799311853233133479192653736821012640270038474076540147148762678742434965230840206681286209081010590308888359975396912258159961149584407227028632871943165625933995192453632965903700107852618812273409672681147840299899924898667519671234994007040816004539118029981670484873928652675486891147817713954285930026028536047686311356837356686512782579246579915863402143155101272282718626359097580906998624194273882829372605925378323520996007504579210269630560818345940648739393215336787911124010799505333299419962955297584391401146720379761002198539011680976431117800189490284328389158001723951440552219586966891018881432346405555984764311000373426630190571764798662934498214321209376067044766503813775023882626777925872326059435301661797932945364638183008768054228432434915796584911093058059234592085542275401440704134427926356480739972207301070175507686736718029033616473878113474480944118867709589591024515630663856933096397341997968265019396003197051435492902272503819215130442649599737432011759013821298473076602621898944024985334035625588462801827895573515955028281598661543954551534504644251566046974914304064806843498909740918246476515296560658345314044869124594453003012849204353871774977422176287306520898528340794307588051637324581030060878094815508927519049589883144395622721993855422011206916199395132610602980758519927616152825545453985846115854732260845645231715836126440601578115422253683890253696529712327632801422009026374379055468662505628717956648679801687970208820801332617122680104157493195819662835525903576996795077692937034343836552990301626824836645406931903535050732327109773243619360440495484061634082771430051879496752129500101353485756078642764510256738451101878687451385571306050232481753341133560251434310698655960141906501477523826321593415869817744736299250789729102752680158527401469354436218092343472222584456700608329035423415937747639971821453163018671651256615854910059635686590433371481546980385577934461723036669826598564561196531477219349486909163841903851724130087406640476769069945505150781947387548376175664157452869770134182603264165631789979853383226253220096451176430529510665364642382637676491387991834964174157439138937332882300767224841502971121833100333693423171366490535799173923560174681128510753782056636424152085869853787628034290305158297163049936716657841261009047841339876027975254898575878680700978081783711335770787199946360214939861462821440051663033300385898234762106798730103872649446499831750290456060493010687470952391572654531743071182855052728565536337212996039728459554352805140113185864821165513623187957226204871757555825734817340961975631755895010367402354894848813508557125970518047937033914846911078159231286673911774320036032763779543687939778091197712578544784758114872355456832747221221718134943509311641581239244006146926349694595952648438339036294390638721267687324020938232771241226065162628097136449207496206758029495938208553342597430662028968582759278144093559880307255587171368179122035853353288933101296519409999286755526378294206986303632053239772338411491038723391338527592262988678769549821635903573417690568767447102011460359102134834463203934041407987336871472684488245862256012004370364839378258202070097938004501124150360501314787907300419081206966865406265027061860485305346264389069402309396863414093859636261465182877170620575436879467134490251508660571824808932662208814445849453726948403260256627709968136023928097395589438702992380757099879400357633421796725281866630570299634473669408862411896789153432498499265367961427738812223460069330653604765197838342764530725746655065339255286531541672802335550194546173865503779782651449441724550472374810110304326868877315649786001411268764278989603487983659536141260374}
30624 1896886401873424877304371734749642002021622408456088373796363400623596922012897727796988: {948383,1437119,1774394,2047319,2169263,3265319,3873119,3994583,4783319,5069474,5259244,5873183,5994119,6895034,7081103,7456396,7804319,7988642,8188204,8406119,8586503,9427343,9607319,10026983,10029256,10535354,10554585,10685663,11258224,11282913,11582303,11624642,12119423,12573004,12665502,12715463,13370183,13964543,14161274,14423848,14676719,14795303,14911816,15490444,15683663,16226829,16775793,17051642,17162673,17337119,18396743,18403276,19219103,19300648,20274119,20344345,21369914,21713229,21736648,22201583,22434623,22609319,22725743,23074823,23481719,23489644,23758329,24413214,24453729,24468263,24657736,25310114,25483969,25683743,25851085,26261303,26603848,26953319,27042945,27739953,27808442,27838156,27931703,28276463,28283725,28845808,29063350,29137103,29366303,29929329,29995943,30299714,30623593,30655034,30978856,31021302,31081223,32106719,32277383,32391119,32451534,33129623,33846434,33923423,33940470,34489463,34772183,34851213,34876020,34941719,35337023,35614394,35675543,35957423,36203168,36319048,36351719,36405670,36804136,36967593,37201088,37224364,37476119,37868903,37944364,38037119,38709263,38877119,39138393,40161623,40384583,40728564,40858929,41404653,41553023,41830703,41851224,41949242,42258316,42330023,42884063,43326719,43492583,43686804,43747990,44320823,44400194,44411404,45845356,46356119,46465823,46492456,46593325,46630319,47082627,47994124,48162143,48966945,49089119,49425196,49796423,50610863,51364034,51531719,51824542,52008100,52133785,52180343,52231408,52283884,52304013,52403642,52497588,52719983,52997836,53444193,53796863,53850623,54602423,54924143,55190056,55672648,55911990,56549114,56686945,57061583,57168119,57327863,57637645,57700319,57966119,58656263,58699084,58760334,59450903,59556719,59639456,60190943,60718583,60976936,61508543,62044154,62088813,62163129,62409720,62560542,62631729,62873543,62962924,63083063,63091945,63501719,64436642,64441823,65792296,66210503,66366119,66570368,66810745,67094388,67235656,68024334,68093745,68278441,68331023,68599053,68794703,69165174,69617423,70210935,70217594,71409983,71552877,71909954,72633328,72684383,72871564,73245129,73936034,74003725,74016333,74035060,74308319,74460143,74662463,74814119,74891664,74900109,74965703,75283874,75403816,75571319,75620474,75640113,75692236,75710334,76175783,76274745,76427303,77301314,77331119,77832119,77932223,77950964,78027145,78731903,79180823,79211596,79330319,79356529,79429943,80076719,80172894,80617324,80981350,81069119,81359728,81712494,82157063,83689249,83879903,84032296,84253122,84511048,84829293,84908903,86226719,86445753,86903848,86956319,86979194,87310754,87441719,88101597,88168319,88328236,88686745,88804470,88842072,89134319,90131350,90425164,90618434,91200383,91296119,91529694,91821676,91869863,92871143,92892926,92925242,93346703,93357745,93583034,93632574,93914284,94059849,94536333,94724768,95074929,95335319,95712503,96042119,96277319,96840983,97122383,97177620,97450319,97540630,97590743,97766829,98011583,98151719,98291783,98944463,98991023,99084119,99477242,99549119,99947331,...,28429431701135584698642336375536915139897747499227829103821045650636679365824188003800398604795602683842884649337616546129840220390589825253562964097605031042824314356361212229557208571163326287152393434022136728865553741087819926665401344576183953078362093627296508574926670367625841500061376251367230662818451746438961918829141241730006954517487103862699173657302691232856563293794045368342210837246333983199971563268115067593852070617836908977847785300095080599126286263589544374055293481345971987998729375455008381412491251121085279908774169111912043802594720939397056378975946232153607852617108328187717034786373082804016230270835385733637522348120247459422768309813443129078994039045525730958806027131219013270807706284457288216391110551027231636299188608162385691857595434683827085445191538431473306774024658927312777185909801887352367598327245809653555112407529576302754916524255838351051631798607512346381608892006902851332558920530592747568173207639507839002057943741364821832583368710771802420284008336604107040694117571335588999058557980509082266672080735177440265928672854997750226875825323639072685726857597418577934720681517549808018228085786080793910404198967779849700218788980605231518960405057711114810220723144018113652447846260310021929313621515885463332539963095368387239941724376610840542949307914748438900992788680449448855550161778928218410114509021721760449849887348001279506852491010561224006808677044972505727310892979013230336721726570931428895039042804071529467035256035029769173868869869873795103214732651908424077939538646371360497936291410824244058908888067485281494011256868815404445841227518910973109089823005181866686016199257999949129944432946376587101720080569641503297808517521464646676700284235426492583737002585927160828329380450336528322148519608333977146466500560139945285857647197994401747321481814064100567149755720662535823940166888808489089152952492696899418046957274513152081342648652373694877366639587088851888128313413102161056201641889534721109958310951605263261530105077043550424710817170211721416178301564384386536773445995785399644596012996952397529094004795577153239353408755728822695663974399606148017638520731947709614903932848416037478001053438382694202741843360273932542422397992315931827301756966377349070462371456097210265248364611377369714772944840987517971067303686891679504519273806530807662466133264430959781347792511191461382077455986871545091317142223263391278574384824716593434082990783133016810374299092698915904471137779891424229238318180978769173782098391268467847573754189660902367173133380525835380544794568491449202133013539561568583202993758443076934973019702531955313231201998925684020156236239793729494253288855365495192616539405551515754829485452440237254968110397855302576098490664659865429040660743226092451124157145077819245128194250152030228634117964146765385107676652818031177078356959075348722630011700340377151466047983940212859752216285739482390123804726617104448876184593654129020237791102204031654327138515208333876685050912493553135123906621459957732179744528007476884923782365089453529885650057222320470578366901692584555004739897846841794797215829024230363745762855777586195131109960715153604918257726172921081322564263496236179304655201273904896248447684969780074839379830144676764645794265998046963573956514737081987752446261236158708405999323451150837262254456682749650500540134757049735803698760885340262021692766130673084954636228128804780681442051435457737445744574905074986761891513571762009814041962882347863818021051467122675567003656180799919540322409792194232160077494549950578847352143160198095155808974169749747625435684090739516031206428587358981797614606774282579092848304505819494059592689331529207710169778797231748270434781935839307307636333738602226011442963447633842515551103532342273220262835688955777071905550872270366617238846930010867661480054049145669315531909667136796568867817177137172308533185249120831832577202415263967462371858866009220389524541893928972657508554441585958081901530986031407349156861839097743942145704673811244310137044243907312830013896145993043452874138917216140339820460883380757052268683053780029933399651944779114998930133289567441310479455448079859658507617236558085087007791388394483018154324732453855360126535853151170653017190538653202251694805901062111981005307209026732368793384018006555547259067387303105146907006751686225540751972181860950628621810450298109397540592790727958019396583604103464095295121140789454392197774315755930863155319200701735377262990857737213398993313221668774180590422604890384941564952204035892146093384158054488571135649819100536450132695087922799945855449451710504113293617845183730148747748898051942141608218335190103995980407147796757514146796088619982598008882929797312509203503325291819260798255669673977174162586825708562215165456490303315973474679002116903146418484405231975489304211890561}
30625 1902719740886241627243115873360996325188884402192243607083325950409373624634402018248663: {2661591,6574055,7556471,7604211,7888866,8775599,9320495,9850946,10235255,10342551,11184594,11982963,12282306,12444839,12536570,12620867,12787874,13047839,13522106,14072780,15043884,15716255,15803031,16114079,16847927,16887336,16888067,17436963,18029810,18639770,18859506,18998253,19019567,19363055,20501063,21055151,21241911,21575519,21635772,22367724,22883564,23004095,23235666,23278367,23434151,24125810,25240082,25577463,27106499,27170810,27289187,27604914,28950972,28981511,29362055,30148922,30222851,30766871,30822170,31677772,31779167,32054871,32203619,32350466,32550952,32561639,32604972,32789807,32940791,33254810,34797695,35048879,35234466,35631794,36057260,36619821,36986604,37965171,38099591,38723570,38832863,38876147,39657794,39905772,40680899,40851551,41000447,41361736,41712663,41757234,42107546,43268712,43595025,45253960,45398810,45449571,45702482,45982551,46005170,46468284,46501360,46530455,46531953,47430455,48291299,48677301,48713567,48833282,49045634,49290124,50769651,50910705,51258191,51604247,52184524,52314030,52822895,53354819,53421591,54304752,54478572,54574802,54608505,55056506,55206204,55514255,55745954,55801632,55836546,56228087,56374994,56466611,56916546,57306695,57568259,57634274,58115570,58249072,58831199,59317847,59992655,60441746,61092846,61781495,62776836,62923863,63159287,63387474,63554162,64521431,65010125,65289260,65354855,65468471,65530206,65575322,65621985,65978339,66055586,66247295,66600291,66617106,66644807,68768034,68987570,69133394,69567842,69575591,69590810,69738684,69914447,69996784,70565363,71189762,71258924,71604143,71991186,71998247,72655034,73373855,73528259,73947167,74137794,74549123,74549320,76040867,76221170,76445951,77046051,77736813,78012150,78347112,78425826,78605463,78703655,78746382,79310807,79496754,80116634,80168159,80463347,82240370,82785084,82884172,83212960,83414056,83508972,83830199,83867985,84044570,84823671,85692434,87492239,88048626,88097711,88140501,88990559,89177807,89459184,89600186,90699112,90791660,90829367,91074179,91082591,91089455,91465404,91704479,92220232,92344442,92543825,93066231,93614580,93623879,93840813,94254770,94444386,94615295,94821167,95403836,95473583,95767751,96485039,96576242,96654963,97357763,97438705,97660172,98688444,99014495,99707714,99855552,99866812,...,37905908934847446264856448500715886853196996665637105471761394200848905821098917338400531473060803578457179532450155394839786960520786433671417285463473374723765752475148282972742944761551101716203191245362848971820738321450426568887201792768245270771149458169728678099902227156834455333415168335156307550424602328585282558438854988973342606023316138483598898209736921643808751058392060491122947782995111977599962084357486756791802760823782545303797047066793440798835048351452725832073724641794629317331639167273344508549988334828113706545032225482549391736792961252529408505301261642871477136822811104250289379715164110405354973694447180978183363130826996612563691079751257505438658718727367641278408036174958684361076941712609717621854814068036308848398918144216514255810127246245102780593588717908631075698699545236417036247879735849803156797769661079538073483210039435070339888699007784468068842398143349795175478522675870468443411894040790330090897610186010452002743924988486429110111158281029069893712011115472142720925490095114118665411410640678776355562774313569920354571563806663666969167767098185430247635810129891437246294242023399744024304114381441058547205598623706466266958385307473642025280540076948153080294297525357484869930461680413362572418162021180617776719950793824516319922299168814454057265743886331251867990384907265931807400215705237624546819345362295680599799849797335039342469988014081632009078236059963340969747857305350973782295635427908571860052057072095372622713674713373025565158493159831726804286310202544565437252718195161813997248388547765658745211850756647041992015009158420539261121636691881297478786430673575822248021599010666598839925910595168782802293440759522004397078023361952862235600378980568656778316003447902881104439173933782037762864692811111969528622000746853260381143529597325868996428642418752134089533007627550047765253555851744652118870603323595865890729276366017536108456864869831593169822186116118469184171084550802881408268855852712961479944414602140351015373473436058067232947756226948961888237735419179182049031261327713866192794683995936530038792006394102870985804545007638430260885299199474864023518027642596946153205243797888049970668071251176925603655791147031910056563197323087909103069009288503132093949828608129613686997819481836492953030593121316690628089738249188906006025698408707743549954844352574613041797056681588615176103274649162060121756189631017855038099179766288791245443987710844022413832398790265221205961517039855232305651090907971692231709464521691290463431672252881203156230844507367780507393059424655265602844018052748758110937325011257435913297359603375940417641602665234245360208314986391639325671051807153993590155385874068687673105980603253649673290813863807070101464654219546487238720880990968123268165542860103758993504259000202706971512157285529020513476902203757374902771142612100464963506682267120502868621397311920283813002955047652643186831739635489472598501579458205505360317054802938708872436184686944445168913401216658070846831875495279943642906326037343302513231709820119271373180866742963093960771155868923446073339653197129122393062954438698973818327683807703448260174813280953538139891010301563894775096752351328314905739540268365206528331263579959706766452506440192902352861059021330729284765275352982775983669928348314878277874665764601534449683005942243666200667386846342732981071598347847120349362257021507564113272848304171739707575256068580610316594326099873433315682522018095682679752055950509797151757361401956163567422671541574399892720429879722925642880103326066600771796469524213597460207745298892999663500580912120986021374941904783145309063486142365710105457131072674425992079456919108705610280226371729642331027246375914452409743515111651469634681923951263511790020734804709789697627017114251941036095874067829693822156318462573347823548640072065527559087375879556182395425157089569516229744710913665494442443436269887018623283162478488012293852699389191905296876678072588781277442535374648041876465542482452130325256194272898414992413516058991876417106685194861324057937165518556288187119760614511174342736358244071706706577866202593038819998573511052756588413972607264106479544676822982077446782677055184525977357539099643271807146835381137534894204022920718204269668926407868082815974673742945368976491724512024008740729678756516404140195876009002248300721002629575814600838162413933730812530054123720970610692528778138804618793726828187719272522930365754341241150873758934268980503017321143649617865324417628891698907453896806520513255419936272047856194791178877405984761514199758800715266843593450563733261140599268947338817724823793578306864996998530735922855477624446920138661307209530395676685529061451493310130678510573063083345604671100389092347731007559565302898883449100944749620220608653737754631299572002822537528557979206975967319072282520748}
30626 1908570915133079434147273546556162240784005984636080624572981108928579910537413328995264: {1896766,2047453,2230369,2874238,2961313,3326353,3548788,4094638,4338526,4783633,6054973,6530638,6779869,7746238,7989166,9307933,9487969,9566638,10138948,10518488,11105053,11284369,11746366,11833299,11988238,13252093,13787233,13790068,14162206,14677693,14776419,14912792,15608638,15743869,15977284,16376408,16776891,16812238,17173006,17590975,18397969,18423459,18804855,18854686,19181811,19214638,19279069,20053966,20058512,20283159,21070708,21109170,21211153,21371326,22516448,22565826,23164606,23249284,24238846,24527869,25146008,25331004,25430926,26740366,27044715,27929086,27959655,28289259,28322548,28482083,28604455,28847696,29353438,29540113,29590606,29823632,30740893,30980888,31367326,32453658,33551586,33982369,34103284,34325346,34674238,34853499,36188715,36191519,36354193,36793486,36806552,37534813,37860123,38438206,38601296,39597215,40548238,40688690,40719283,40756215,41407371,42222013,42388369,42554653,42739828,43384993,43426458,43473296,44403166,44869246,45040273,45071575,45218638,45223383,45451486,45535453,46149646,46233255,46688353,46963438,46979288,47516658,48525699,48826428,48907458,48936526,48983569,49146973,49315472,49882215,50451613,50620228,50777053,50967938,51367486,51427069,51589393,51702170,52522606,52851699,53207696,53447691,53693053,53854369,53906638,54085890,55479906,55616884,55676312,55863406,56552926,56567450,57225373,57691616,58023313,58085355,58126700,58274206,58660369,58732606,59486691,59613793,59858658,59991886,60247969,60599428,61247186,61310068,61612655,61957712,61986013,62042604,62162446,62635851,63161319,63558493,64213438,64554766,64782238,64903068,65230655,66259246,66370813,67692868,67846846,67880940,68098215,68553723,68978926,69007755,69544366,69702426,69752040,69883438,70391869,70674046,71228788,71312893,71351086,71772433,71914846,72406336,72638096,72703438,72811340,72987299,73249923,73568451,73608272,73935186,74364253,74402176,74448728,74952238,74971069,75576733,75737806,75888728,76074238,77418526,77754238,77987869,78276786,78471045,78737569,79361723,80082493,80323246,80692703,80769166,81457128,81611575,81717858,81718369,81862203,82584759,82809306,83106046,83618931,83661406,83702448,83754819,83898484,84516632,84562491,84660046,85374819,85768126,86451411,86653438,86985166,87011233,87173355,87373608,87495980,88174753,88328723,88464913,88641646,88800388,88822808,89073655,89189053,90662619,91207069,91639269,91690712,91924369,92712238,92931646,92984912,93186650,93260638,93535043,94165254,94917373,95081211,95331243,95342353,95988248,96324286,96331453,96895069,97933890,98178238,98295309,98362983,98850392,98998369,99083379,99592846,99925659,...,56858863402271169397284672751073830279795494998455658207642091301273358731648376007600797209591205367685769298675233092259680440781179650507125928195210062085648628712722424459114417142326652574304786868044273457731107482175639853330802689152367906156724187254593017149853340735251683000122752502734461325636903492877923837658282483460013909034974207725398347314605382465713126587588090736684421674492667966399943126536230135187704141235673817955695570600190161198252572527179088748110586962691943975997458750910016762824982502242170559817548338223824087605189441878794112757951892464307215705234216656375434069572746165608032460541670771467275044696240494918845536619626886258157988078091051461917612054262438026541615412568914576432782221102054463272598377216324771383715190869367654170890383076862946613548049317854625554371819603774704735196654491619307110224815059152605509833048511676702103263597215024692763217784013805702665117841061185495136346415279015678004115887482729643665166737421543604840568016673208214081388235142671177998117115961018164533344161470354880531857345709995500453751650647278145371453715194837155869441363035099616036456171572161587820808397935559699400437577961210463037920810115422229620441446288036227304895692520620043858627243031770926665079926190736774479883448753221681085898615829496877801985577360898897711100323557856436820229018043443520899699774696002559013704982021122448013617354089945011454621785958026460673443453141862857790078085608143058934070512070059538347737739739747590206429465303816848155879077292742720995872582821648488117817776134970562988022513737630808891682455037821946218179646010363733372032398515999898259888865892753174203440161139283006595617035042929293353400568470852985167474005171854321656658760900673056644297039216667954292933001120279890571715294395988803494642963628128201134299511441325071647880333777616978178305904985393798836093914549026304162685297304747389754733279174177703776256626826204322112403283779069442219916621903210526523060210154087100849421634340423442832356603128768773073546891991570799289192025993904795058188009591154306478706817511457645391327948799212296035277041463895419229807865696832074956002106876765388405483686720547865084844795984631863654603513932754698140924742912194420530496729222754739429545889681975035942134607373783359009038547613061615324932266528861919562695585022382922764154911973743090182634284446526782557148769649433186868165981566266033620748598185397831808942275559782848458476636361957538347564196782536935695147508379321804734346266761051670761089589136982898404266027079123137166405987516886153869946039405063910626462403997851368040312472479587458988506577710730990385233078811103031509658970904880474509936220795710605152196981329319730858081321486452184902248314290155638490256388500304060457268235928293530770215353305636062354156713918150697445260023400680754302932095967880425719504432571478964780247609453234208897752369187308258040475582204408063308654277030416667753370101824987106270247813242919915464359489056014953769847564730178907059771300114444640941156733803385169110009479795693683589594431658048460727491525711555172390262219921430307209836515452345842162645128526992472358609310402547809792496895369939560149678759660289353529291588531996093927147913029474163975504892522472317416811998646902301674524508913365499301001080269514099471607397521770680524043385532261346169909272456257609561362884102870915474891489149810149973523783027143524019628083925764695727636042102934245351134007312361599839080644819584388464320154989099901157694704286320396190311617948339499495250871368181479032062412857174717963595229213548565158185696609011638988119185378663058415420339557594463496540869563871678614615272667477204452022885926895267685031102207064684546440525671377911554143811101744540733234477693860021735322960108098291338631063819334273593137735634354274344617066370498241663665154404830527934924743717732018440779049083787857945315017108883171916163803061972062814698313723678195487884291409347622488620274088487814625660027792291986086905748277834432280679640921766761514104537366107560059866799303889558229997860266579134882620958910896159719317015234473116170174015582776788966036308649464907710720253071706302341306034381077306404503389611802124223962010614418053464737586768036013111094518134774606210293814013503372451081503944363721901257243620900596218795081185581455916038793167208206928190590242281578908784395548631511861726310638401403470754525981715474426797986626443337548361180845209780769883129904408071784292186768316108977142271299638201072900265390175845599891710898903421008226587235690367460297495497796103884283216436670380207991960814295593515028293592177239965196017765859594625018407006650583638521596511339347954348325173651417124430330912980606631946949358004233806292836968810463950978608423781122}
30627 1914439978829517145703958919238616420147427063581903023732800756680511461268015324174179: {2845149,4311357,4435985,5323182,6141957,6507789,7740029,8841377,9203677,9795957,11619357,11983749,12673685,13048693,13148110,14329357,14349957,14707537,15112942,15208422,15777732,17237585,17551198,17619549,17982357,18009853,18640990,19701892,19831493,19971605,20470510,20685102,21243309,22002757,22369188,23412957,23965926,24228529,24564612,24889678,25073140,25218357,25241734,25575748,25759509,26095678,26338385,27044212,27108277,27531857,28145560,28282029,28821957,29061605,30080949,30087768,31432510,31606062,31663755,32056989,32205733,32228158,33032117,33695854,33774672,33776134,33848739,34746909,34873926,35051173,35403185,35909093,36059620,36332273,36358269,36860573,37279540,37719012,37996506,38039134,38146389,38481937,38726110,40110549,40727149,41002126,41106877,41827057,41893629,42110302,42483822,42629105,43151038,43271544,44030157,44385909,44735448,45767128,45824029,46008190,46471332,46556734,46868302,47050989,48251620,48680487,48716773,49935413,50327379,50480164,51154926,51488019,52011357,52252229,52383953,53424785,54212998,54341620,54578374,55190229,55209828,55934813,57657309,57901944,57963022,58584737,58724110,58848653,60297844,60445702,60822357,61033035,61533742,61644340,63275285,63355544,63408733,63558334,64109742,64407238,64700932,65101904,65123278,65139687,65142637,65209944,65579614,65881582,66402637,66509620,66604749,67303869,67827957,68177229,68903953,69224469,69521105,69595390,70097758,70445157,70468932,71263588,71274987,72114520,72658375,73239642,73361187,73404789,73952053,73973208,74736133,75053117,75749285,75881333,75930342,76199182,76451907,76637585,77051229,77447140,77553255,77665726,77719957,77752294,78743729,78783909,79246109,79315588,79811544,80229373,80468629,80859957,81128835,81361798,81703102,82000894,82426417,82723472,83219859,83395429,83425326,83514468,83795109,83989717,84215092,84616085,84829389,84851175,86494093,86537424,87190050,87411309,87919477,88098909,88103509,89035985,89325713,89787987,89796773,89987829,90507920,90797620,90899142,91014175,91404964,91496797,91870779,91965102,92010340,92601533,92746213,92936568,93002720,93060910,93063906,93243669,94613573,94860910,96001517,96320157,96582598,96832149,97173357,97354602,97364149,97427134,97666564,97731029,98091268,98580248,99388869,...,85288295103406754095927009126610745419693242497683487311463136951910038097472564011401195814386808051528653948012849638389520661171769475760688892292815093128472943069083636688671625713489978861457180302066410186596661223263459779996204033728551859235086280881889525724780011102877524500184128754101691988455355239316885756487423725190020863552461311588097520971908073698569689881382136105026632511739001949599914689804345202781556211853510726933543355900285241797378858790768633122165880444037915963996188126365025144237473753363255839726322507335736131407784162818191169136927838696460823557851324984563151104359119248412048690812506157200912567044360742378268304929440329387236982117136577192876418081393657039812423118853371864649173331653081694908897565824487157075572786304051481256335574615294419920322073976781938331557729405662057102794981737428960665337222588728908264749572767515053154895395822537039144826676020708553997676761591778242704519622918523517006173831224094465497750106132315407260852025009812321122082352714006766997175673941527246800016242205532320797786018564993250680627475970917218057180572792255733804162044552649424054684257358242381731212596903339549100656366941815694556881215173133344430662169432054340957343538780930065787940864547656389997619889286105161719825173129832521628847923744245316702978366041348346566650485336784655230343527065165281349549662044003838520557473031683672020426031134917517181932678937039691010165179712794286685117128412214588401105768105089307521606609609621385309644197955725272233818615939114081493808874232472732176726664202455844482033770606446213337523682556732919327269469015545600058048597773999847389833298839129761305160241708924509893425552564393940030100852706279477751211007757781482484988141351009584966445558825001931439399501680419835857572941593983205241964445442192301701449267161987607471820500666425467267458857478090698254140871823539456244027945957121084632099918761266555664384940239306483168604925668604163329874932854815789784590315231130651274132451510635164248534904693153159610320337987356198933788038990857192587282014386731459718060226267186468086991923198818444052915562195843128844711798545248112434003160315148082608225530080821797627267193976947795481905270899132047211387114368291630795745093834132109144318834522962553913201911060675038513557821419592422987398399793292879344043377533574384146232367960614635273951426669790173835723154474149780302248972349399050431122897278096747713413413339674272687714954542936307521346295173805403542721262568982707101519400141577506141634383705474347606399040618684705749608981275329230804919059107595865939693605996777052060468708719381188482759866566096485577849618216654547264488456357320711764904331193565907728295471993979596287121982229678277353372471435233457735384582750456090685902353892440296155323029958454093531235070877226046167890035101021131454398143951820638579256648857218447170371414179851313346628553780962387060713373306612094962981415545625001630055152737480659405371719864379873196539233584022430654771347095268360589656950171666961411735100705077753665014219693540525384391647487072691091237288567332758585393329882145460814754773178518763243967692790488708537913965603821714688745343054909340224518139490434030293937382797994140890721869544211245963257338783708476125217997970353452511786763370048248951501620404271149207411096282656020786065078298392019254863908684386414342044326154306373212337233724715224960285674540715286029442125888647043591454063154401368026701010968542399758620967229376582696480232483649851736542056429480594285467426922509249242876307052272218548093619285762076945392843820322847737278544913517458482178778067994587623130509336391695244811304345807517921922909001215806678034328890342901527546653310597026819660788507066867331215716652616811099851716540790032602984440162147437007946595729001410389706603451531411516925599555747362495497731607245791902387115576598027661168573625681786917972525663324757874245704592958094222047470585517293231826437114021433732930411132731721938490041688437979130358622416751648421019461382650142271156806049161340089800198955834337344996790399868702323931438366344239578975522851709674255261023374165183449054462974197361566080379607559453511959051571615959606755084417703186335943015921627080197106380152054019666641777202161909315440721020255058676622255916545582851885865431350894328192621778372183874058189750812310392285885363422368363176593322947267792589465957602105206131788972573211640196979939665006322541771267814671154824694856612107676438280152474163465713406949457301609350398085263768399837566348355131512339880853535551190446243246694155826424824655005570311987941221443390272542440388265859947794026648789391937527610509975875457782394767009021931522487760477125686645496369470909947920424037006350709439255453215695926467912635671683}
30628 1920326986354985379325301748594152978029721130898688584335832452600675696011709072043690: {2169547,2717971,3793532,3995107,4094906,4177267,4460738,5450371,5748476,5922626,5994907,6652706,7097576,7262971,7984773,8189276,8527507,8677052,9567266,10866571,12109946,13014907,13061276,13559738,14085187,14797267,15330571,15492476,15978332,16749547,17103571,17987371,18516787,18615866,18975938,19133276,19722165,20277896,20978827,21036976,22210106,22568738,22669413,22728787,22812633,23492732,23666598,23976476,24123571,24627365,24992971,26326797,26380267,26504186,27072187,27574466,27580136,27961485,28324412,29355386,29552838,29825584,30705765,31027653,31217276,31341425,31370587,31487738,31954568,31969685,32224867,32395507,32752816,33553782,33624476,33805265,34346012,35181950,35793187,35948889,36131371,36795938,36846918,37334517,37609710,37709372,37817971,37862601,38154427,38363622,38429276,38558138,39143517,40046237,40107932,40117024,40566318,41669827,42141416,42218340,42422306,42742652,43166707,43664371,45032896,45074525,45131652,46329212,46472227,46498568,46599425,46636747,46965571,47148765,47409093,48122789,48277987,48342237,48477692,49055738,50292016,50543781,50662008,50664201,50861852,52187587,52310889,53480732,53965627,54089430,55413907,55436101,55858172,55919310,56578518,56645096,56696371,56964166,56994759,57058701,57176107,57208910,57695392,58089165,58706876,59080226,59088571,59181212,59406307,59565067,59647264,60199387,60314525,60674371,61481786,61503189,61961776,62734652,63100205,63165453,63725733,64726557,64907316,65388571,66167971,66479227,67103172,67721371,67927025,67964738,68185987,68206568,68650692,68958907,69012285,69348476,69706998,69730027,69835101,70302453,71113507,72377430,72383038,72708386,73101571,73586972,73613104,75069626,75077467,75372305,75682987,75720246,76732389,76876412,77055425,77202592,77342227,77943427,78393571,78843067,79194430,79441387,79889371,80876165,81080827,81096476,81319497,81377380,81377971,81438566,81512430,81867561,82814742,83137025,83154787,84444026,84776738,85067971,85109306,85479656,85800571,86257717,86769986,86852916,86944533,86946592,87551467,88086165,88277947,88806332,89079485,89738492,90080546,90143150,90158371,90437276,90446766,90668553,90878371,90902972,91070906,91309507,91322917,92299292,92300613,92312971,92466510,93376706,93740371,93926876,93958576,95033316,95337501,96164613,96610857,96808925,97051398,97652856,97684917,97698787,97814916,97873052,97967138,98293946,98369421,98630944,98822373,99098827,99144485,99656827,99764430,...,113717726804542338794569345502147660559590989996911316415284182602546717463296752015201594419182410735371538597350466184519360881562359301014251856390420124171297257425444848918228834284653305148609573736088546915462214964351279706661605378304735812313448374509186034299706681470503366000245505005468922651273806985755847675316564966920027818069948415450796694629210764931426253175176181473368843348985335932799886253072460270375408282471347635911391141200380322396505145054358177496221173925383887951994917501820033525649965004484341119635096676447648175210378883757588225515903784928614431410468433312750868139145492331216064921083341542934550089392480989837691073239253772516315976156182102923835224108524876053083230825137829152865564442204108926545196754432649542767430381738735308341780766153725893227096098635709251108743639207549409470393308983238614220449630118305211019666097023353404206527194430049385526435568027611405330235682122370990272692830558031356008231774965459287330333474843087209681136033346416428162776470285342355996234231922036329066688322940709761063714691419991000907503301294556290742907430389674311738882726070199232072912343144323175641616795871119398800875155922420926075841620230844459240882892576072454609791385041240087717254486063541853330159852381473548959766897506443362171797231658993755603971154721797795422200647115712873640458036086887041799399549392005118027409964042244896027234708179890022909243571916052921346886906283725715580156171216286117868141024140119076695475479479495180412858930607633696311758154585485441991745165643296976235635552269941125976045027475261617783364910075643892436359292020727466744064797031999796519777731785506348406880322278566013191234070085858586706801136941705970334948010343708643313317521801346113288594078433335908585866002240559781143430588791977606989285927256256402268599022882650143295760667555233956356611809970787597672187829098052608325370594609494779509466558348355407552513253652408644224806567558138884439833243806421053046120420308174201698843268680846885664713206257537546147093783983141598578384051987809590116376019182308612957413635022915290782655897598424592070554082927790838459615731393664149912004213753530776810967373441095730169689591969263727309207027865509396281849485824388841060993458445509478859091779363950071884269214747566718018077095226123230649864533057723839125391170044765845528309823947486180365268568893053565114297539298866373736331963132532067241497196370795663617884551119565696916953272723915076695128393565073871390295016758643609468692533522103341522179178273965796808532054158246274332811975033772307739892078810127821252924807995702736080624944959174917977013155421461980770466157622206063019317941809760949019872441591421210304393962658639461716162642972904369804496628580311276980512777000608120914536471856587061540430706611272124708313427836301394890520046801361508605864191935760851439008865142957929560495218906468417795504738374616516080951164408816126617308554060833335506740203649974212540495626485839830928718978112029907539695129460357814119542600228889281882313467606770338220018959591387367179188863316096921454983051423110344780524439842860614419673030904691684325290257053984944717218620805095619584993790739879120299357519320578707058583177063992187854295826058948327951009785044944634833623997293804603349049017826730998602002160539028198943214795043541361048086771064522692339818544912515219122725768205741830949782978299620299947047566054287048039256167851529391455272084205868490702268014624723199678161289639168776928640309978199802315389408572640792380623235896678998990501742736362958064124825714349435927190458427097130316371393218023277976238370757326116830840679115188926993081739127743357229230545334954408904045771853790535370062204414129369092881051342755823108287622203489081466468955387720043470645920216196582677262127638668547186275471268708548689234132740996483327330308809661055869849487435464036881558098167575715890630034217766343832327606123944125629396627447356390975768582818695244977240548176975629251320055584583972173811496555668864561359281843533523028209074732215120119733598607779116459995720533158269765241917821792319438634030468946232340348031165553577932072617298929815421440506143412604682612068762154612809006779223604248447924021228836106929475173536072026222189036269549212420587628027006744902163007888727443802514487241801192437590162371162911832077586334416413856381180484563157817568791097263023723452621276802806941509051963430948853595973252886675096722361690419561539766259808816143568584373536632217954284542599276402145800530780351691199783421797806842016453174471380734920594990995592207768566432873340760415983921628591187030056587184354479930392035531719189250036814013301167277043193022678695908696650347302834248860661825961213263893898716008467612585673937620927901957216847562244}
30629 1926231992253258854136677766636622105340114494838890883335747492035234501065511166680516: {4741915,5690298,6142359,6210379,6691107,7185595,8622714,8871970,8883939,9147307,9881539,9979059,10236595,10646364,10846315,12283914,13015578,13790227,14350899,15480058,16326595,17682754,17743159,18164919,18407354,19365595,19591914,19832791,19972915,20339607,20394859,20503747,23238714,23437219,23916595,23967498,24132619,25347370,26097386,26296220,26538391,27533659,27923799,27960247,28463907,28658714,28699914,29365915,29415074,29887891,29970595,30225884,30416844,30644659,30770899,31555464,33034279,33315159,33853107,33904387,34475170,35102396,35239098,35405515,35499897,35964714,36019706,36334651,36580291,36873739,37244107,37281980,37898899,38104579,38837947,39021595,39403784,39662986,39756279,39943210,40686247,40941020,41197111,41361699,41370204,41643739,42030595,42438019,42486618,42595927,42932515,43076419,44005514,44033079,44329257,44738376,46825914,47060599,47136715,47231607,47931852,48036595,48457058,49129224,49564459,49779356,49938691,50134915,50146280,50330673,50436714,50483468,50605687,51151496,51519018,52191356,52676770,52772925,53421259,53428315,54023491,54088424,54216554,55063714,55193907,55270377,55855831,56291120,56414565,56564058,57545433,57643914,57837207,57911515,58123210,58546771,59014579,59680747,59886979,60161898,60175536,60597115,60849477,61719319,62468299,62859211,62865020,63212124,63327510,63577315,63633459,63927127,64113978,64411466,64456316,65477059,66064234,66104779,66850915,67391708,67549344,67552268,67697478,68065579,69493818,69747852,69822715,70102346,70806370,71818186,72119240,72664546,72716538,73383595,73454419,73583607,73721146,73849651,73976515,74559080,74794699,75438024,75886327,75993012,76047739,76078268,76292778,76455979,76549891,76963874,77452220,78418315,79251307,80221098,81134145,81454298,82004252,82213754,83654114,83787258,83843287,83878965,84174331,84220604,84374179,84867777,84967644,85258210,85446249,85813365,86302076,86543088,86685595,88060314,88585399,88620339,88771818,88834987,89470896,89677939,90464407,91094539,91534256,91648058,91983715,92016380,92222679,92449027,92942664,93113468,93636187,93693139,93736604,94101978,94619779,95426659,95486107,96007819,96095515,96382051,96503240,97329547,97360974,97402999,97433546,98818651,99870826,...,170576590206813508191854018253221490839386484995366974622926273903820076194945128022802391628773616103057307896025699276779041322343538951521377784585630186256945886138167273377343251426979957722914360604132820373193322446526919559992408067457103718470172561763779051449560022205755049000368257508203383976910710478633771512974847450380041727104922623176195041943816147397139379762764272210053265023478003899199829379608690405563112423707021453867086711800570483594757717581537266244331760888075831927992376252730050288474947506726511679452645014671472262815568325636382338273855677392921647115702649969126302208718238496824097381625012314401825134088721484756536609858880658774473964234273154385752836162787314079624846237706743729298346663306163389817795131648974314151145572608102962512671149230588839840644147953563876663115458811324114205589963474857921330674445177457816529499145535030106309790791645074078289653352041417107995353523183556485409039245837047034012347662448188930995500212264630814521704050019624642244164705428013533994351347883054493600032484411064641595572037129986501361254951941834436114361145584511467608324089105298848109368514716484763462425193806679098201312733883631389113762430346266688861324338864108681914687077561860131575881729095312779995239778572210323439650346259665043257695847488490633405956732082696693133300970673569310460687054130330562699099324088007677041114946063367344040852062269835034363865357874079382020330359425588573370234256824429176802211536210178615043213219219242770619288395911450544467637231878228162987617748464945464353453328404911688964067541212892426675047365113465838654538938031091200116097195547999694779666597678259522610320483417849019786851105128787880060201705412558955502422015515562964969976282702019169932891117650003862878799003360839671715145883187966410483928890884384603402898534323975214943641001332850934534917714956181396508281743647078912488055891914242169264199837522533111328769880478612966337209851337208326659749865709631579569180630462261302548264903021270328497069809386306319220640675974712397867576077981714385174564028773462919436120452534372936173983846397636888105831124391686257689423597090496224868006320630296165216451060161643595254534387953895590963810541798264094422774228736583261591490187668264218288637669045925107826403822121350077027115642839184845974796799586585758688086755067148768292464735921229270547902853339580347671446308948299560604497944698798100862245794556193495426826826679348545375429909085872615042692590347610807085442525137965414203038800283155012283268767410948695212798081237369411499217962550658461609838118215191731879387211993554104120937417438762376965519733132192971155699236433309094528976912714641423529808662387131815456590943987959192574243964459356554706744942870466915470769165500912181371804707784880592310646059916908187062470141754452092335780070202042262908796287903641277158513297714436894340742828359702626693257107561924774121426746613224189925962831091250003260110305474961318810743439728759746393078467168044861309542694190536721179313900343333922823470201410155507330028439387081050768783294974145382182474577134665517170786659764290921629509546357037526487935385580977417075827931207643429377490686109818680449036278980868060587874765595988281781443739088422491926514677567416952250435995940706905023573526740096497903003240808542298414822192565312041572130156596784038509727817368772828684088652308612746424674467449430449920571349081430572058884251777294087182908126308802736053402021937084799517241934458753165392960464967299703473084112858961188570934853845018498485752614104544437096187238571524153890785687640645695474557089827034916964357556135989175246261018672783390489622608691615035843845818002431613356068657780685803055093306621194053639321577014133734662431433305233622199703433081580065205968880324294874015893191458002820779413206903062823033851199111494724990995463214491583804774231153196055322337147251363573835945051326649515748491409185916188444094941171034586463652874228042867465860822265463443876980083376875958260717244833503296842038922765300284542313612098322680179600397911668674689993580799737404647862876732688479157951045703419348510522046748330366898108925948394723132160759215118907023918103143231919213510168835406372671886031843254160394212760304108039333283554404323818630881442040510117353244511833091165703771730862701788656385243556744367748116379501624620784571770726844736726353186645894535585178931915204210412263577945146423280393959879330012645083542535629342309649389713224215352876560304948326931426813898914603218700796170527536799675132696710263024679761707071102380892486493388311652849649310011140623975882442886780545084880776531719895588053297578783875055221019951750915564789534018043863044975520954251373290992738941819895840848074012701418878510906431391852935825271343366}
30630 1932155051232950193729145065359941787575758307399849411528896102707412912059576242027299: {1131941,1620581,2169689,2230661,3083429,3448421,4177541,4238249,4339094,4966121,5435942,5511269,6055769,6901481,7263449,7323749,7587064,7986521,7990214,8189812,8354534,8535447,8588201,8921476,9309161,9429209,9609221,10208741,10867289,10900742,11496952,11763749,11845252,11989814,12658409,12934071,13075301,13305412,13307955,13372841,13551269,13907909,14195152,14525942,14798249,15686789,15969546,16278149,16378552,17055014,17163689,17354104,18047429,18425871,18518021,18576809,19134532,19222949,19399001,19523367,20453801,21213989,21733142,22439129,22613861,23220087,23776901,24183209,24219892,24647081,26029814,26093381,26122552,26524131,26958761,27119476,27611031,28109801,28170374,28684121,29387871,29544101,29594534,30173609,30516569,30661142,30984952,31030469,31372709,31429721,31956664,32283941,32568281,32870275,33306629,33499094,34207142,34478311,34858071,34948841,35118341,35344229,35951247,35974742,36133829,36190169,37033574,37231732,37652201,37782355,37876649,37951876,38021055,38044901,38213081,38266552,38661209,38885081,39146079,39444330,39835109,40555792,40894169,41172389,41561561,41728229,41957654,42005849,42073952,42338729,42988071,43049871,43225001,43501541,43667369,43877995,44122611,44420212,44757559,45137476,45156581,45338826,45457574,45541721,45625266,45651689,46365701,46602475,46639961,46694789,46804421,46985464,47023589,47327371,47333196,47952952,48247142,48335909,49099301,49254730,49425989,49752389,49985942,50784089,51176275,51542441,51712755,52515161,52653594,52760534,52858647,53008372,53808089,53947071,53969381,54023129,54029559,54144374,54613829,54774761,55148932,55160272,55471301,55922970,56540261,56648824,56872387,56913641,57233369,57339881,57552809,57978281,58297049,58710772,59105676,59410469,59463401,59494479,59622149,59651168,59914815,60256421,60731369,60889541,61310981,61411530,62055306,62224195,62434552,62682850,62741174,62975476,63096389,63104335,63515141,63672041,63729927,63909136,63939370,64449734,64664069,64791014,65239195,65445209,65505632,66008271,66016901,66224549,66380201,66483929,67107564,67248952,67610530,68036009,68692024,68963801,69478121,70238871,70363900,70862789,71118569,71425241,71578469,71586374,71897778,72262742,72343529,72685587,73591876,73693836,73716101,74071001,74476121,74669034,74830181,74981801,75082841,75133349,75219420,75418744,75635942,75655071,75688409,75725202,75738821,76141829,76308854,76727244,76858552,77116276,77278527,77999081,78287034,78581275,78848741,79015155,79197929,79347461,79895129,80092474,80094041,80215864,80234048,80342501,80570395,81132636,81324831,81383849,81829061,82595571,82865369,83339654,83357609,84094469,84239635,84282832,84436680,84440335,84829529,84844612,84846087,85074149,85485304,85855589,86333414,86465871,87184815,87315269,87328742,87848681,88284389,88340287,90065792,90149050,90213029,90242847,90263304,90932969,91316201,91603289,91890089,92319749,92367449,92658424,92944454,92997136,93198850,93273494,93367301,93931142,94297530,94818186,94991265,95097835,95592281,95875049,96170967,96245578,96298661,96555974,96617199,96627689,96684474,96815275,96955384,97612421,98111476,98173541,98313641,98966489,99096351,99106181,99849989,...,255864885310220262287781027379832236259079727493050461934389410855730114292417692034203587443160424154585961844038548915168561983515308427282066676878445279385418829207250910066014877140469936584371540906199230559789983669790379339988612101185655577705258842645668577174340033308632573500552386262305075965366065717950657269462271175570062590657383934764292562915724221095709069644146408315079897535217005848799744069413035608344668635560532180800630067700855725392136576372305899366497641332113747891988564379095075432712421260089767519178967522007208394223352488454573507410783516089382470673553974953689453313077357745236146072437518471602737701133082227134804914788320988161710946351409731578629254244180971119437269356560115593947519994959245084726692697473461471226718358912154443769006723845883259760966221930345814994673188216986171308384945212286881996011667766186724794248718302545159464686187467611117434480028062125661993030284775334728113558868755570551018521493672283396493250318396946221782556075029436963366247058142020300991527021824581740400048726616596962393358055694979752041882427912751654171541718376767201412486133657948272164052772074727145193637790710018647301969100825447083670643645519400033291986508296163022872030616342790197363822593642969169992859667858315485159475519389497564886543771232735950108935098124045039699951456010353965691030581195495844048648986132011515561672419095051016061278093404752551545798036811119073030495539138382860055351385236643765203317304315267922564819828828864155928932593867175816701455847817342244481426622697418196530179992607367533446101311819338640012571047670198757981808407046636800174145793321999542169499896517389283915480725126773529680276657693181820090302558118838433253633023273344447454964424053028754899336676475005794318198505041259507572718824781949615725893336326576905104347801485962822415461501999276401802376572434272094762422615470618368732083837871363253896299756283799666993154820717919449505814777005812489989624798564447369353770945693391953822397354531905492745604714079459478830961013962068596801364116972571577761846043160194379154180678801559404260975769596455332158746686587529386534135395635744337302009480945444247824676590242465392881801581930843386445715812697396141634161343104874892387235281502396327432956503568887661739605733182025115540673464258777268962195199379878638032130132600723152438697103881843905821854280009370521507169463422449340906746917048197151293368691834290243140240240019022818063144863628808922564038885521416210628163787706948121304558200424732518424903151116423042819197121856054117248826943825987692414757177322787597819080817990331156181406126158143565448279599698289456733548854649963641793465369071962135294712993580697723184886415981938788861365946689034832060117414305700373206153748251368272057707061677320888465969089875362280593705212631678138503670105303063394363194431855461915737769946571655341511114242539553940039885661342887161182140119919836284888944246636875004890165458212441978216115159593139619589617700752067291964314041285805081768970850515000884235205302115233260995042659080621576153174942461218073273711865701998275756179989646436382444264319535556289731903078371466125613741896811465144066236029164728020673554418471302090881812148393982422672165608632633737889772016351125428375653993911060357535360290110144746854504861212813447622233288847968062358195234895176057764591726053159243026132978462919119637011701174145674880857023622145858088326377665941130774362189463204104080103032905627199275862901688129748089440697450949555209626169288441782856402280767527747728628921156816655644280857857286230836178531460968543211835634740552375446536334203983762869391528009175085734433913037422553765768727003647420034102986671028704582639959931791080458982365521200601993647149957850433299555149622370097808953320486442311023839787187004231169119810354594234550776798667242087486493194821737375707161346729794082983505720877045360753917576989974273622737113778874282666142411756551879695479311342064301198791233398195165815470125065313937391075867250254945263058384147950426813470418147484020269400596867503012034990371199606106971794315099032718736926568555129022765783070122495550347163388922592084698241138822678360535877154714847878820265253253109559007829047764881240591319140456162058999925331606485727946322163060765176029866767749636748555657596294052682984577865335116551622174569252436931176857656090267105089529779968841803377768397872806315618395366917719634920590939818995018967625313803444013464474084569836323029314840457422490397140220848371904828051194255791305199512699045065394537019642560606653571338729740082467479274473965016710935963823664330170817627321164797579843382079946368175812582831529927626373347184301027065794567463281431377059936489108412729843761272111019052128317766359647087779403737907015049}
30631 1938096218168005204044305460557838148584798862826156509767174372884605624352980048848325: {30631,6508641,6638681,8153913,9483830,10059833,10237265,11044073,11151845,11380596,11985321,12284718,12420758,12531801,13382214,14331233,14371190,14462921,14806565,15184841,16297541,16351113,16631765,17245428,17743940,17767878,17984721,18294614,19232933,19763078,19958118,20473190,20505089,21292728,21692630,21788913,21801401,22517561,22857233,23438753,23918165,23954319,24231701,24567828,25582521,26031156,27111833,27580454,27962081,28701798,30274865,30772913,30960116,31363553,31683461,32599713,32653190,33483233,33899345,34249913,34575761,35322053,35365508,35486318,36329838,36814708,38107073,38731190,38840489,39044721,39183828,39665582,39945830,40068821,40679214,40732481,40789718,41007494,41112281,41832533,41958833,42255561,42357593,42598721,43231253,44391801,44515721,45991713,46348901,46477428,46539665,46874438,47439845,47833190,47934996,48144233,48265238,49567721,50248641,50322533,50340641,50609009,50694740,51310713,52194772,52592440,53076782,53962113,54630233,55067318,55471193,55525265,55550361,55847598,55920494,56421845,56927814,57317428,57399828,57749249,58731830,58830148,58842833,59018453,59166495,59706113,59775782,59806721,59941190,60105521,60451768,60833688,61289318,61541798,62936481,63110928,64596521,64629893,65991401,66068558,66260465,66630318,67194329,67251233,67706214,67808774,68008239,68186361,68437899,68936165,68950340,70188881,70204792,70478196,70811030,70999794,71929428,72039412,72370713,72669302,73160582,73388465,73747478,73882095,74488214,74563960,74799641,74978913,75550241,75797798,76209158,76353029,76554929,77452073,77675894,78043190,78520241,78719345,78807568,78980391,79140801,79325972,79512558,79886420,81076121,81216561,81372494,81882040,82394222,82723398,82740408,83287478,83884455,84061190,84835961,84876038,84973236,85191854,85865030,86152838,87954875,88011028,88066158,88658514,89008241,89476752,89683841,90468053,91337381,91989845,92117295,93082959,93168401,93591281,93651828,94024275,94111761,94121198,94273430,94300553,94463214,95863704,95909055,96073190,96098033,96388373,96395345,96674601,96914116,97186521,97376921,97409393,97751801,98258448,98661461,99087521,99128918,99558712,99877382,...,341153180413627016383708036506442981678772969990733949245852547807640152389890256045604783257547232206114615792051398553558082644687077903042755569171260372513891772276334546754686502853959915445828721208265640746386644893053839119984816134914207436940345123527558102899120044411510098000736515016406767953821420957267543025949694900760083454209845246352390083887632294794278759525528544420106530046956007798399658759217380811126224847414042907734173423601140967189515435163074532488663521776151663855984752505460100576949895013453023358905290029342944525631136651272764676547711354785843294231405299938252604417436476993648194763250024628803650268177442969513073219717761317548947928468546308771505672325574628159249692475413487458596693326612326779635590263297948628302291145216205925025342298461177679681288295907127753326230917622648228411179926949715842661348890354915633058998291070060212619581583290148156579306704082834215990707046367112970818078491674094068024695324896377861991000424529261629043408100039249284488329410856027067988702695766108987200064968822129283191144074259973002722509903883668872228722291169022935216648178210597696218737029432969526924850387613358196402625467767262778227524860692533377722648677728217363829374155123720263151763458190625559990479557144420646879300692519330086515391694976981266811913464165393386266601941347138620921374108260661125398198648176015354082229892126734688081704124539670068727730715748158764040660718851177146740468513648858353604423072420357230086426438438485541238576791822901088935274463756456325975235496929890928706906656809823377928135082425784853350094730226931677309077876062182400232194391095999389559333195356519045220640966835698039573702210257575760120403410825117911004844031031125929939952565404038339865782235300007725757598006721679343430291766375932820967857781768769206805797068647950429887282002665701869069835429912362793016563487294157824976111783828484338528399675045066222657539760957225932674419702674416653319499731419263159138361260924522605096529806042540656994139618772612638441281351949424795735152155963428770349128057546925838872240905068745872347967692795273776211662248783372515378847194180992449736012641260592330432902120323287190509068775907791181927621083596528188845548457473166523182980375336528436577275338091850215652807644242700154054231285678369691949593599173171517376173510134297536584929471842458541095805706679160695342892617896599121208995889397596201724491589112386990853653653358697090750859818171745230085385180695221614170885050275930828406077600566310024566537534821897390425596162474738822998435925101316923219676236430383463758774423987108208241874834877524753931039466264385942311398472866618189057953825429282847059617324774263630913181887975918385148487928918713109413489885740933830941538331001824362743609415569761184621292119833816374124940283508904184671560140404084525817592575807282554317026595428873788681485656719405253386514215123849548242853493226448379851925662182500006520220610949922637621486879457519492786156934336089722619085388381073442358627800686667845646940402820311014660056878774162101537566589948290764364949154269331034341573319528581843259019092714075052975870771161954834151655862415286858754981372219637360898072557961736121175749531191976563562887478176844983853029355134833904500871991881413810047147053480192995806006481617084596829644385130624083144260313193568077019455634737545657368177304617225492849348934898860899841142698162861144117768503554588174365816252617605472106804043874169599034483868917506330785920929934599406946168225717922377141869707690036996971505228209088874192374477143048307781571375281291390949114179654069833928715112271978350492522037345566780979245217383230071687691636004863226712137315561371606110186613242388107278643154028267469324862866610467244399406866163160130411937760648589748031786382916005641558826413806125646067702398222989449981990926428983167609548462306392110644674294502727147671890102653299031496982818371832376888189882342069172927305748456085734931721644530926887753960166753751916521434489667006593684077845530600569084627224196645360359200795823337349379987161599474809295725753465376958315902091406838697021044093496660733796217851896789446264321518430237814047836206286463838427020337670812745343772063686508320788425520608216078666567108808647637261762884081020234706489023666182331407543461725403577312770487113488735496232759003249241569143541453689473452706373291789071170357863830408420824527155890292846560787919758660025290167085071258684619298779426448430705753120609896653862853627797829206437401592341055073599350265393420526049359523414142204761784972986776623305699298620022281247951764885773561090169761553063439791176106595157567750110442039903501831129579068036087726089951041908502746581985477883639791681696148025402837757021812862783705871650542686732}
30632 1944055548098199630772708347095121497950647788676507085596481190124351878436583138252536: {2230807,2263882,2413687,3144487,3241162,4238527,4339378,4461322,4966447,6166858,6896842,6962287,7324231,8355082,8476498,8678188,9489847,9932242,10871884,11022538,11286607,11465887,12111538,12361207,12718831,13802962,13968247,14225745,14526898,14647498,15036367,15174128,15747007,15973042,15980428,16279231,16379624,16709068,17070894,17176402,17842952,18427077,18578047,18618322,18631137,18858418,19218442,19282927,20073321,20162407,20417482,21556785,21734578,21801484,22179925,22440631,22964647,22993904,23527498,23690504,23979628,24706687,25316818,25868142,26150602,26610824,26615910,26651817,26745682,27102538,27441921,27815818,28390304,29051884,29374231,29596498,29644617,29937177,30232831,30575767,30709785,31089631,31373578,31431847,31939092,32538945,32556298,32757104,34110028,34327378,34708208,36094858,36192631,36699367,36851742,37036042,37153618,38269064,38445898,38700145,38719831,38798002,39046734,40395631,40907602,41370681,41564407,42397087,42427978,42563407,43052697,43466284,44206885,44553631,44878258,45227722,46018385,46440174,46698007,47553802,48366418,48439784,48979785,49157167,49294162,49810207,50624887,51600127,52059628,52186762,52245104,52895297,53048262,53229477,53542831,53865607,53917522,54026887,54238952,54494757,55222062,56219602,56340748,57368242,57556831,58035487,58096785,58672687,58775742,59088202,59189068,59467567,59498373,59918745,60347218,61018821,61033138,61184577,61322284,61429193,61511241,61969904,62060938,62629087,62745418,62859442,62929801,63100831,63368425,63571927,63913328,64567882,64668631,65136562,65243465,65740550,66613258,66998188,67212821,68414284,68956622,69716142,69897682,70236682,70311657,70688458,70867831,71634631,71646785,71749785,71902494,71949484,72267658,72380338,72397857,73537685,74067148,74463464,74683831,75138727,75304402,75564710,75744247,75753298,75903752,76042110,76089802,76197631,76426162,76533104,76650367,77322418,77770162,78292158,78754567,78888660,79615173,79670218,81111584,81788338,82344778,82600977,82920631,83123122,83456458,83771397,83880741,83915308,84011698,84100567,84147904,84677458,85391721,85976142,86099742,86187925,86450002,87003082,87113873,87334738,87755990,88097745,88245222,88346069,88840424,89497831,89515118,89663673,89911785,90049265,90274952,90313162,90677652,90915148,91083442,91250532,91303378,91334873,91657831,91933977,91944607,92312697,92374231,92731402,93204950,93279922,93389578,93608842,93970928,94047178,94654742,94666392,95646487,95905904,95929231,96352807,96494284,96634831,96671818,98198602,98509460,98851978,99020407,99102837,99157465,99504778,99858025,99945477,99971884,...,511729770620440524575562054759664472518159454986100923868778821711460228584835384068407174886320848309171923688077097830337123967030616854564133353756890558770837658414501820132029754280939873168743081812398461119579967339580758679977224202371311155410517685291337154348680066617265147001104772524610151930732131435901314538924542351140125181314767869528585125831448442191418139288292816630159795070434011697599488138826071216689337271121064361601260135401711450784273152744611798732995282664227495783977128758190150865424842520179535038357935044014416788446704976909147014821567032178764941347107949907378906626154715490472292144875036943205475402266164454269609829576641976323421892702819463157258508488361942238874538713120231187895039989918490169453385394946922942453436717824308887538013447691766519521932443860691629989346376433972342616769890424573763992023335532373449588497436605090318929372374935222234868960056124251323986060569550669456227117737511141102037042987344566792986500636793892443565112150058873926732494116284040601983054043649163480800097453233193924786716111389959504083764855825503308343083436753534402824972267315896544328105544149454290387275581420037294603938201650894167341287291038800066583973016592326045744061232685580394727645187285938339985719335716630970318951038778995129773087542465471900217870196248090079399902912020707931382061162390991688097297972264023031123344838190102032122556186809505103091596073622238146060991078276765720110702770473287530406634608630535845129639657657728311857865187734351633402911695634684488962853245394836393060359985214735066892202623638677280025142095340397515963616814093273600348291586643999084338999793034778567830961450253547059360553315386363640180605116237676866507266046546688894909928848106057509798673352950011588636397010082519015145437649563899231451786672653153810208695602971925644830923003998552803604753144868544189524845230941236737464167675742726507792599512567599333986309641435838899011629554011624979979249597128894738707541891386783907644794709063810985491209428158918957661922027924137193602728233945143155523692086320388758308361357603118808521951539192910664317493373175058773068270791271488674604018961890888495649353180484930785763603163861686772891431625394792283268322686209749784774470563004792654865913007137775323479211466364050231081346928517554537924390398759757276064260265201446304877394207763687811643708560018741043014338926844898681813493834096394302586737383668580486280480480038045636126289727257617845128077771042832421256327575413896242609116400849465036849806302232846085638394243712108234497653887651975384829514354645575195638161635980662312362812252316287130896559199396578913467097709299927283586930738143924270589425987161395446369772831963877577722731893378069664120234828611400746412307496502736544115414123354641776931938179750724561187410425263356277007340210606126788726388863710923831475539893143310683022228485079107880079771322685774322364280239839672569777888493273750009780330916424883956432230319186279239179235401504134583928628082571610163537941701030001768470410604230466521990085318161243152306349884922436146547423731403996551512359979292872764888528639071112579463806156742932251227483793622930288132472058329456041347108836942604181763624296787964845344331217265267475779544032702250856751307987822120715070720580220289493709009722425626895244466577695936124716390469790352115529183452106318486052265956925838239274023402348291349761714047244291716176652755331882261548724378926408208160206065811254398551725803376259496178881394901899110419252338576883565712804561535055495457257842313633311288561715714572461672357062921937086423671269481104750893072668407967525738783056018350171468867826074845107531537454007294840068205973342057409165279919863582160917964731042401203987294299915700866599110299244740195617906640972884622047679574374008462338239620709188469101553597334484174972986389643474751414322693459588165967011441754090721507835153979948547245474227557748565332284823513103759390958622684128602397582466796390331630940250130627874782151734500509890526116768295900853626940836294968040538801193735006024069980742399212213943588630198065437473853137110258045531566140244991100694326777845184169396482277645356721071754309429695757640530506506219118015658095529762481182638280912324117999850663212971455892644326121530352059733535499273497111315192588105365969155730670233103244349138504873862353715312180534210179059559937683606755536795745612631236790733835439269841181879637990037935250627606888026928948169139672646058629680914844980794280441696743809656102388511582610399025398090130789074039285121213307142677459480164934958548947930033421871927647328660341635254642329595159686764159892736351625165663059855252746694368602054131589134926562862754119872978216825459687522544222038104256635532719294175558807475814030098}
30633 1950033096229637400659850961151107279342149896575140625567781707841333348074078956164662: {61262,3395823,4861743,6509067,6691983,9250287,9759167,10345263,10847735,11961863,12532623,12714747,13017282,13277362,13589855,14332171,14898363,15612583,16307826,16533807,17092543,18167307,18967660,19975535,20119666,20474530,20704443,20729191,20886335,21495631,21790347,21971247,22088146,22303690,22761192,23284471,23959563,23970642,24233287,24569436,24841516,25063602,25606341,25764603,26611663,26764428,27251855,27882107,27927483,28287627,28662466,28742380,28827663,28925842,29613130,29974535,30369682,30626223,30648671,32595082,32601867,32702226,33263530,33485431,34490856,35291247,35410927,35487880,35535756,35969442,36314855,36589228,37248983,37922687,37975227,38465866,38802213,39225903,39526156,39916236,39923865,40118523,40653807,40735147,40862263,40946380,41010178,41649191,41723727,41835271,42384811,42585456,42637535,43385260,43577826,43602802,43937531,44394747,45035122,45714466,46877506,47060367,47459083,47836330,47908638,48463402,48609823,48834447,49135656,49870187,50343943,51165042,51491067,52062312,54142287,54223666,54332855,55160908,55277613,55495871,55554063,55730427,55924162,56242831,57403596,57668847,57944447,58197003,58570101,59810647,60549730,61361403,61545826,61920232,62727106,63366922,63641967,63935531,65074535,65155531,65199426,65306380,66361247,66415783,66966466,67317387,67460651,67798690,67841583,68499826,69087127,69151522,69660261,70425935,70644106,70731016,70872407,70972636,71330703,72549627,72659676,73629416,73941243,73986335,75681391,76214146,76341343,76652855,77172911,77462380,77680978,77735371,77887007,78089442,78280143,78367656,78990583,79261703,79331164,79572393,79891660,80077567,80137642,80876283,81358428,81464962,81579436,82014988,82224562,82833093,83665066,83747735,83917666,84329403,84511122,84715186,85197442,85517855,86052363,86444711,86462506,88163613,88632303,88783602,89031442,89201191,89936855,90474007,90520827,91549707,91983426,92583935,92697802,92764651,92954856,93079330,93091407,93748876,93784031,94118127,94289163,94632191,94879690,95666380,95792863,95869992,96288466,96510631,96530476,96851823,97704843,98610825,99135442,99919007,99919887,...,767594655930660786863343082139496708777239182479151385803168232567190342877253076102610762329481272463757885532115646745505685950545925281846200030635335838156256487621752730198044631421409809753114622718597691679369951009371138019965836303556966733115776527937005731523020099925897720501657158786915227896098197153851971808386813526710187771972151804292877688747172663287127208932439224945239692605651017546399232208239106825034005906681596542401890203102567176176409729116917698099492923996341243675965693137285226298137263780269302557536902566021625182670057465363720522232350548268147412020661924861068359939232073235708438217312555414808213103399246681404414744364962964485132839054229194735887762732542913358311808069680346781842559984877735254180078092420384413680155076736463331307020171537649779282898665791037444984019564650958513925154835636860645988035003298560174382746154907635478394058562402833352303440084186376985979090854326004184340676606266711653055564481016850189479750955190838665347668225088310890098741174426060902974581065473745221200146179849790887180074167084939256125647283738254962514625155130301604237458400973844816492158316224181435580913372130055941905907302476341251011930936558200099875959524888489068616091849028370592091467780928907509978579003574946455478426558168492694659631313698207850326805294372135119099854368031061897073091743586487532145946958396034546685017257285153048183834280214257654637394110433357219091486617415148580166054155709931295609951912945803767694459486486592467786797781601527450104367543452026733444279868092254589590539977822102600338303935458015920037713143010596273945425221139910400522437379965998626508499689552167851746442175380320589040829973079545460270907674356515299760899069820033342364893272159086264698010029425017382954595515123778522718156474345848847177680008979730715313043404457888467246384505997829205407129717302816284287267846411855106196251513614089761688899268851399000979464462153758348517444331017437469968874395693342108061312837080175861467192063595716478236814142238378436492883041886205790404092350917714733285538129480583137462542036404678212782927308789365996476240059762588159602406186907233011906028442836332743474029770727396178645404745792530159337147438092188424902484029314624677161705844507188982298869510706662985218817199546075346622020392776331806886585598139635914096390397802169457316091311645531717465562840028111564521508390267348022720240751144591453880106075502870729420720720057068454189434590886426767692116656564248631884491363120844363913674601274197555274709453349269128457591365568162351746480831477963077244271531968362793457242453970993468544218378474430696344838799094868370200646563949890925380396107215886405884138980742093169554659247945816366584097840067104496180352242917101119618461244754104816173121185031962665397907269626086841781115637895034415511010315909190183089583295566385747213309839714966024533342727618661820119656984028661483546420359759508854666832739910625014670496374637325934648345478779418858768853102256201875892942123857415245306912551545002652705615906345699782985127977241864728459524827383654219821135597105994827268539968939309147332792958606668869195709235114398376841225690434395432198708087494184062020663255413906272645436445181947268016496825897901213669316049053376285126961981733181072606080870330434240563514583638440342866699866543904187074585704685528173293775178159477729078398935388757358911035103522437024642571070866437574264979132997823392323086568389612312240309098716881597827588705064389244268322092352848665628878507865325348569206842302583243185886763470449966932842573571858692508535594382905629635506904221657126339609002611951288608174584027525257203301739112267661297306181010942260102308960013086113747919879795373241376947096563601805980941449873551299898665448867110293426859961459326933071519361561012693507359431063782703652330396001726262459479584465212127121484040189382248950517162631136082261752730969922820868211341336622847998427235269655639086437934026192903596373700194585497446410375195941812173227601750764835789175152443851280440411254442452060808201790602509036104971113598818320915382945297098156210779705665387068297349210367486651041490166767776254094723416468035081607631464144543636460795759759328677023487143294643721773957421368486176999775994819457183838966489182295528089600303248910245666972788882158048953733596005349654866523707757310793530572968270801315268589339906525410133305193618418946855186100753158904761772819456985056902875941410332040393422253709508969087944521372267471191420662545115714484153582767373915598538097135196183611058927681819960714016189220247402437823421895050132807891470992990512452881963494392739530146239839104527437748494589782879120041552903081197383702389844294131179809467325238189531283816333057156384953299078941263338211213721045147}
30634 1956028917935250351126803344224363439375995094117038614132790756419358404957758959768393: {91893,1254313,4178089,4461614,4527764,4827374,5087989,6288974,6482324,8477054,8678756,8889913,8922644,9430453,9932894,12333716,13017493,13793684,13924574,14648462,15688873,16710164,16929973,16952996,17356376,17637589,18979694,19525923,19864484,19916043,21743768,22045076,22573214,22733353,22931774,23709575,23780089,24223076,24461739,24722414,25437662,26212393,27077653,27605924,27936494,28451490,28802773,29053796,29294996,30072734,30179499,30348256,30711795,31051895,31376953,31494014,31946084,31960856,32402089,32558462,32572693,32759248,33132219,33418136,33455535,33934933,34141788,34352804,34783993,35685904,35927975,35955963,35969653,36854154,37156094,37236644,37262274,37595403,37716836,38162233,38330389,38436884,38565854,40146642,40324814,40834964,41678389,41845033,42993699,43113570,43175593,43341589,43388763,43469156,43602968,44004853,44359850,44419695,44881262,45554523,45657973,45736535,45929294,45987808,46481833,46646389,46810873,47054996,47381008,47959256,48892623,49053339,49407695,49413374,49895295,50085433,50633636,51182975,51736284,52301204,53221648,53231820,53303634,53491364,53954163,54180203,54205076,54231575,54883842,55425493,55631636,56548153,56780608,57347893,57698799,57986389,58103768,58748462,58941973,59192996,59289234,59577589,59874354,60465662,61003513,61151534,61419570,61515267,61889639,62179262,62747156,62863694,63878184,64425739,65077890,65112596,65366739,65404203,65514208,66493333,66648889,67552683,68220056,68355253,68571699,68654756,68951135,69416416,70316259,70333307,71754495,71862957,72189716,72385262,72695103,73398734,73703484,73726633,74072084,74307236,74371583,75093589,75245113,76454713,76538128,76747563,76891796,77400290,77439662,77596004,78093468,79009813,79458553,80354089,80791262,81335499,81632975,81815204,82741362,83128814,83468053,83886243,84794174,84855956,84939733,85126814,86105394,86932568,87861493,88413770,88715795,89107262,89756516,90455444,90824595,91340851,92036770,92318739,92880348,93396014,94090659,94756213,95050383,95107604,95606389,96312889,96732836,96827975,96879568,97720489,97799139,97860853,97959570,98314334,98588324,99163955,99620414,99864575,...,1023459541240881049151124109519328945036318909972201847737557643422920457169670768136814349772641696618343847376154195660674247934061233709128266707513781117541675316829003640264059508561879746337486163624796922239159934679161517359954448404742622310821035370582674308697360133234530294002209545049220303861464262871802629077849084702280250362629535739057170251662896884382836278576585633260319590140868023395198976277652142433378674542242128723202520270803422901568546305489223597465990565328454991567954257516380301730849685040359070076715870088028833576893409953818294029643134064357529882694215899814757813252309430980944584289750073886410950804532328908539219659153283952646843785405638926314517016976723884477749077426240462375790079979836980338906770789893845884906873435648617775076026895383533039043864887721383259978692752867944685233539780849147527984046671064746899176994873210180637858744749870444469737920112248502647972121139101338912454235475022282204074085974689133585973001273587784887130224300117747853464988232568081203966108087298326961600194906466387849573432222779919008167529711651006616686166873507068805649944534631793088656211088298908580774551162840074589207876403301788334682574582077600133167946033184652091488122465371160789455290374571876679971438671433261940637902077557990259546175084930943800435740392496180158799805824041415862764122324781983376194595944528046062246689676380204064245112373619010206183192147244476292121982156553531440221405540946575060813269217261071690259279315315456623715730375468703266805823391269368977925706490789672786120719970429470133784405247277354560050284190680795031927233628186547200696583173287998168677999586069557135661922900507094118721106630772727280361210232475353733014532093093377789819857696212115019597346705900023177272794020165038030290875299127798462903573345306307620417391205943851289661846007997105607209506289737088379049690461882473474928335351485453015585199025135198667972619282871677798023259108023249959958499194257789477415083782773567815289589418127621970982418856317837915323844055848274387205456467890286311047384172640777516616722715206237617043903078385821328634986746350117546136541582542977349208037923781776991298706360969861571527206327723373545782863250789584566536645372419499569548941126009585309731826014275550646958422932728100462162693857035109075848780797519514552128520530402892609754788415527375623287417120037482086028677853689797363626987668192788605173474767337160972560960960076091272252579454515235690256155542085664842512655150827792485218232801698930073699612604465692171276788487424216468995307775303950769659028709291150391276323271961324624725624504632574261793118398793157826934195418599854567173861476287848541178851974322790892739545663927755155445463786756139328240469657222801492824614993005473088230828246709283553863876359501449122374820850526712554014680421212253577452777727421847662951079786286621366044456970158215760159542645371548644728560479679345139555776986547500019560661832849767912864460638372558478358470803008269167857256165143220327075883402060003536940821208460933043980170636322486304612699769844872293094847462807993103024719958585745529777057278142225158927612313485864502454967587245860576264944116658912082694217673885208363527248593575929690688662434530534951559088065404501713502615975644241430141441160440578987418019444851253790488933155391872249432780939580704231058366904212636972104531913851676478548046804696582699523428094488583432353305510663764523097448757852816416320412131622508797103451606752518992357762789803798220838504677153767131425609123070110990914515684627266622577123431429144923344714125843874172847342538962209501786145336815935051477566112036700342937735652149690215063074908014589680136411946684114818330559839727164321835929462084802407974588599831401733198220598489480391235813281945769244095359148748016924676479241418376938203107194668968349945972779286949502828645386919176331934022883508181443015670307959897094490948455115497130664569647026207518781917245368257204795164933592780663261880500261255749564303469001019781052233536591801707253881672589936081077602387470012048139961484798424427887177260396130874947706274220516091063132280489982201388653555690368338792964555290713442143508618859391515281061013012438236031316191059524962365276561824648235999701326425942911785288652243060704119467070998546994222630385176210731938311461340466206488698277009747724707430624361068420358119119875367213511073591491225262473581467670878539682363759275980075870501255213776053857896338279345292117259361829689961588560883393487619312204777023165220798050796180261578148078570242426614285354918960329869917097895860066843743855294657320683270509284659190319373528319785472703250331326119710505493388737204108263178269853125725508239745956433650919375045088444076208513271065438588351117614951628060196}
30635 1962043068755299452625498770326314803604406755759346983734070548017884030288325609114505: {122524,5659705,6692421,6791646,7241061,8102905,9433461,9723486,10432213,10848445,11153305,11533561,12715581,13018134,13369141,13383966,14899341,15186829,15417145,15808309,17242105,18500574,19025797,19518334,20690526,20886861,20887705,21191245,21312169,21695470,21972693,22520509,23861893,23923726,24830605,25065246,25429494,25715257,26034564,26554724,27179710,27556345,27965749,28469541,28664342,29240869,29796726,30278845,30650677,31225166,31687609,32615652,32951581,33067614,33859821,34185086,34254397,34397661,34507405,35918509,36317245,36334614,36618745,37083621,37251421,37935320,38152597,38156493,39932605,39951070,40239332,40949060,41013877,41408886,41458382,41460421,41651917,41772670,41904741,41964349,42604309,42677235,42941005,42991262,43580694,43940413,43942494,44176292,44521549,44607380,44817721,45109101,45522384,46190377,46354969,46545805,46568942,46959961,47146045,47241021,47919126,47941284,48046105,48466574,48837693,49138872,49683032,50127204,50840797,51043705,51212682,51274981,51359593,51529206,51926173,52397689,52616509,53223326,53528856,54336445,54503710,55281231,55734141,55764214,55854966,55893411,56533177,56575254,57324932,57484760,57655326,57848781,57851684,58279861,58818745,59226260,59337277,59692549,59949070,60219963,60487221,60739364,61252446,61297342,62024797,63292045,64605013,64670355,65190164,65203734,65376505,65404452,65830069,65935309,66527060,66539775,66666637,66864205,66970862,67321893,67756345,68479801,68893941,68981712,69539545,69598381,70582494,70821854,70975760,71071512,71938884,72275821,72629710,73178456,73991245,74120061,74497966,75560173,75845374,75950454,76065997,76931732,77177977,77604426,77892133,78208789,78433945,78451806,78764377,79052312,79832472,79847730,79955451,80237046,81307614,81390745,81470294,81724526,81892760,82020356,82325763,83298382,83447454,83670542,84656917,84769622,85170912,85275070,85755961,85818445,85821817,85847509,86252077,86770520,87155652,87205604,87875062,88122693,88789494,88933851,89811531,90070244,90237145,90698493,91104349,91428932,91727301,92048281,92129355,92467309,92590105,92884045,93268893,93755012,94120734,94295541,94451533,94918166,95672660,95817276,96114745,96401017,96614677,96926804,96995005,97219646,97616835,97668894,98271312,98596309,98796469,99740374,99925561,...,1535189311861321573726686164278993417554478364958302771606336465134380685754506152205221524658962544927515771064231293491011371901091850563692400061270671676312512975243505460396089262842819619506229245437195383358739902018742276039931672607113933466231553055874011463046040199851795441003314317573830455792196394307703943616773627053420375543944303608585755377494345326574254417864878449890479385211302035092798464416478213650068011813363193084803780406205134352352819458233835396198985847992682487351931386274570452596274527560538605115073805132043250365340114930727441044464701096536294824041323849722136719878464146471416876434625110829616426206798493362808829488729925928970265678108458389471775525465085826716623616139360693563685119969755470508360156184840768827360310153472926662614040343075299558565797331582074889968039129301917027850309671273721291976070006597120348765492309815270956788117124805666704606880168372753971958181708652008368681353212533423306111128962033700378959501910381677330695336450176621780197482348852121805949162130947490442400292359699581774360148334169878512251294567476509925029250310260603208474916801947689632984316632448362871161826744260111883811814604952682502023861873116400199751919049776978137232183698056741184182935561857815019957158007149892910956853116336985389319262627396415700653610588744270238199708736062123794146183487172975064291893916792069093370034514570306096367668560428515309274788220866714438182973234830297160332108311419862591219903825891607535388918972973184935573595563203054900208735086904053466888559736184509179181079955644205200676607870916031840075426286021192547890850442279820801044874759931997253016999379104335703492884350760641178081659946159090920541815348713030599521798139640066684729786544318172529396020058850034765909191030247557045436312948691697694355360017959461430626086808915776934492769011995658410814259434605632568574535692823710212392503027228179523377798537702798001958928924307516697034888662034874939937748791386684216122625674160351722934384127191432956473628284476756872985766083772411580808184701835429466571076258961166274925084072809356425565854617578731992952480119525176319204812373814466023812056885672665486948059541454792357290809491585060318674294876184376849804968058629249354323411689014377964597739021413325970437634399092150693244040785552663613773171196279271828192780795604338914632182623291063434931125680056223129043016780534696045440481502289182907760212151005741458841441440114136908378869181772853535384233313128497263768982726241688727827349202548395110549418906698538256915182731136324703492961662955926154488543063936725586914484907941986937088436756948861392689677598189736740401293127899781850760792214431772811768277961484186339109318495891632733168195680134208992360704485834202239236922489508209632346242370063925330795814539252173683562231275790068831022020631818380366179166591132771494426619679429932049066685455237323640239313968057322967092840719519017709333665479821250029340992749274651869296690957558837717537706204512403751785884247714830490613825103090005305411231812691399565970255954483729456919049654767308439642271194211989654537079937878618294665585917213337738391418470228796753682451380868790864397416174988368124041326510827812545290872890363894536032993651795802427338632098106752570253923963466362145212161740660868481127029167276880685733399733087808374149171409371056346587550356318955458156797870777514717822070207044874049285142141732875148529958265995646784646173136779224624480618197433763195655177410128778488536644184705697331257757015730650697138413684605166486371773526940899933865685147143717385017071188765811259271013808443314252679218005223902577216349168055050514406603478224535322594612362021884520204617920026172227495839759590746482753894193127203611961882899747102599797330897734220586853719922918653866143038723122025387014718862127565407304660792003452524918959168930424254242968080378764497901034325262272164523505461939845641736422682673245695996854470539311278172875868052385807192747400389170994892820750391883624346455203501529671578350304887702560880822508884904121616403581205018072209942227197636641830765890594196312421559411330774136594698420734973302082980333535552508189446832936070163215262928289087272921591519518657354046974286589287443547914842736972353999551989638914367677932978364591056179200606497820491333945577764316097907467192010699309733047415514621587061145936541602630537178679813050820266610387236837893710372201506317809523545638913970113805751882820664080786844507419017938175889042744534942382841325090231428968307165534747831197076194270392367222117855363639921428032378440494804875646843790100265615782941985981024905763926988785479060292479678209054875496989179565758240083105806162394767404779688588262359618934650476379062567632666114312769906598157882526676422427442090294}
30636 1968075604397877528161781062958979444993242540915708154863232209786918394451314462385861: {153155,183786,1315499,1804043,2414003,2508626,2535899,2962283,3266603,3874643,4239083,5088323,7083899,8168723,8356178,8923228,9055528,9491099,9611123,9654748,10175978,10187469,11108723,11586899,12577948,12964648,13077899,13256483,13553963,14088923,14585229,15038363,15156899,15749099,16458683,16954108,17344043,17357512,17779826,17845288,18227603,18860906,19402883,19527201,19578899,19865788,20075949,20282243,21218243,21510323,22618403,22967723,23084099,24667432,26034986,26098643,26271899,27309923,27587368,27750861,27849148,28287899,28689923,29277501,29296924,31035789,31036763,31377746,31436099,31607123,32543205,32745443,33193405,33420328,33859946,33905992,33993899,34277099,34712752,35125499,35275178,35690099,35885589,36366563,36704363,37597869,37828283,37959388,38052683,38144241,38220899,39051846,39728968,39832086,40010723,40769565,41681243,41736803,42996513,43233899,43399883,43472653,43487536,43676363,44090152,44695089,45146428,45331043,45466706,45863548,46704443,46814099,46837749,46978523,47197643,47419150,47560178,48018203,48446152,48923478,49436243,49444828,49601421,50299165,50875324,51186325,51277629,51282443,52424786,52526099,53173283,53980643,54155306,54501921,54786203,54947099,55211848,55220365,55482899,55759225,55872988,55910963,56552099,56712203,56902980,56925563,57085499,57605546,57724523,58043603,58107592,58309283,58589992,58946099,59581763,59634683,59899163,59926605,60145468,60358998,60696512,60902363,61060499,61423590,62103790,62113329,62187573,62637899,62659005,62742803,62753906,62988028,63685499,63892168,63921712,64031149,64486893,64804178,64834163,65116924,65145386,65371041,65518496,65913741,66186683,66264438,66394283,66653603,66836272,66911070,67869866,68205323,68283576,68705608,69170773,69567986,69647099,69853413,71338283,71371808,71593763,71656165,71855950,71878689,71911926,71939306,72314605,72359003,72699861,73122443,73325723,73708308,74032825,74312188,74473288,74524548,74997899,75149483,75190806,75250499,75433672,75906323,75924205,76324466,76660778,76761899,76819023,76873768,77131708,77293809,77665283,78416123,78765899,78865763,79015499,79364603,79834989,80111363,80293284,80359883,80508899,80649628,81401483,81487705,81669928,81755565,81995099,83121181,83158825,83356778,83375723,83646321,83690066,83782449,84862881,85581443,85987398,86227140,86351186,86482989,86683178,86777526,86938312,87205936,87479963,87893689,88009706,88013243,88497203,88719700,88839390,89762524,89923605,90184763,90377003,91109046,91315946,91473070,91623443,91858588,91878669,91946013,91975616,92963666,93292778,93621746,93957803,94109992,94762016,95613443,95660603,95754899,95918512,96164665,96367043,96531589,97165499,97785246,97805601,98106678,98335499,98815390,98826748,99128243,99790590,99872243,...,2302783967791982360590029246418490126331717547437454157409504697701571028631759228307832286988443817391273656596346940236517057851637775845538600091906007514468769462865258190594133894264229429259343868155793075038109853028113414059897508910670900199347329583811017194569060299777693161504971476360745683688294591461555915425160440580130563315916455412878633066241517989861381626797317674835719077816953052639197696624717320475102017720044789627205670609307701528529229187350753094298478771989023731027897079411855678894411791340807907672610707698064875548010172396091161566697051644804442236061985774583205079817696219707125314651937666244424639310197740044213244233094888893455398517162687584207663288197628740074935424209041040345527679954633205762540234277261153241040465230209389993921060514612949337848695997373112334952058693952875541775464506910581937964105009895680523148238464722906435182175687208500056910320252559130957937272562978012553022029818800134959166693443050550568439252865572515996043004675264932670296223523278182708923743196421235663600438539549372661540222501254817768376941851214764887543875465390904812712375202921534449476474948672544306742740116390167825717721907429023753035792809674600299627878574665467205848275547085111776274403342786722529935737010724839366435279674505478083978893941094623550980415883116405357299563104093185691219275230759462596437840875188103640055051771855459144551502840642772963912182331300071657274459852245445740498162467129793886829855738837411303083378459459777403360393344804582350313102630356080200332839604276763768771619933466307801014911806374047760113139429031788821836275663419731201567312139897995879525499068656503555239326526140961767122489919238636380812723023069545899282697209460100027094679816477258794094030088275052148863786545371335568154469423037546541533040026939192145939130213373665401739153517993487616221389151908448852861803539235565318588754540842269285066697806554197002938393386461275045552332993052312409906623187080026324183938511240527584401576190787149434710442426715135309478649125658617371212277052753144199856614388441749412387626109214034638348781926368097989428720179287764478807218560721699035718085328508998230422089312182188535936214237377590478011442314276565274707452087943874031485117533521566946896608532119988955656451598638226039866061178328995420659756794418907742289171193406508371948273934936595152396688520084334693564525170802044068160722253433774361640318226508612188262162160171205362568303772659280303076349969692745895653474089362533091741023803822592665824128360047807385372774096704487055239442494433889231732814595905088380371727361912980405632655135423292089034516397284605110601939691849672776141188321647659217652416942226279508663977743837449099752293520201313488541056728751303358855383734262314448519363555095887996193721808878260525343346913685103246533030947727570549268749886699157241639929519144898073600028182855985460358970952085984450639261079278526564000498219731875044011489123911977803945036436338256576306559306768605627678826371572245735920737654635007958116847719037099348955383931725594185378574482150962659463406791317984481805619906817927441998378875820006607587127705343195130523677071303186296596124262482552186061989766241718817936309335545841804049490477693703641007948147160128855380885945199543217818242610991302721690543750915321028600099599631712561223757114056584519881325534478433187235196806166272076733105310567311073927713212599312722794937398993470176969259705168836936720927296150644793482766115193167732804966277058545996886635523595976045707620526907749729557660290411349900798527720715576077525606783148716888906520712664971379018827007835853865824523752082575771609905217336802983891918543032826780306926880039258341243759639386119724130841289690805417942824349620653899695996346601330880280579884377980799214558084683038080522078293191348110956991188005178787378438753395636381364452120568146746851551487893408246785258192909768462604634024009868543995281705808966917259313802078578710789121100583756492339231125587825436519682805252294507367525457331553841321233763327356182424605371807527108314913340796454962746148835891294468632339116996161204892047631102459953124470500303328762284170249404105244822894392433630909382387279277986031070461429883931165321872264105458530999327984458371551516899467546886584268800909746730737000918366646474146861200788016048964599571123271932380591718904812403945805768019719576230399915580855256840565558302259476714285318458370955170708627824230996121180266761128526907263833564116802413574261987635347143452460748302121746795614291405588550833176783045459882142048567660742207313470265685150398423674412978971537358645890483178218590438719517313582313245483769348637360124658709243592151107169532882393539428401975714568593851448999171469154859897236823790014633641163135441}
30637 1974126580739413474432389203651410172024402732279225336856975822319398516431819659587518: {30637,245048,275679,3762939,7923587,11154035,11319410,11344067,12068435,12328979,12534267,13384842,13583292,14482122,15187823,15263967,15614627,15722435,16205810,18682547,18866922,19446972,20864426,21192635,21584003,21696890,22306610,22351787,22521983,23067122,23819483,24138947,24534059,24832235,25431162,26021027,26036268,26615147,26669739,26738282,26767932,27488723,28200419,28291359,29242787,29667743,29798682,30373658,30834290,31616618,31689683,32574443,34256639,34484210,34762847,34799867,34811435,35415563,36589883,36621155,37001148,38051594,38578883,39036668,39052479,41381052,41773722,41775410,42382490,42390383,42449147,42624338,42865859,43390940,43945386,44524463,45041018,45839039,46358003,47066619,47449235,47723786,47847452,48310367,48616187,49661210,50130492,50198579,50350547,50789919,50844143,50858988,51266243,51430514,51624539,51929579,52069128,52619963,52912767,53109448,53131667,53435267,53864939,54359420,55112690,55905647,55931498,56433035,56939082,57328684,57329435,58481738,58562123,58577769,59593452,59748129,60117407,60557690,61301354,61806035,62183147,62450332,63184139,63375218,63429503,63594155,65164127,65231304,65834387,65903162,66004463,66135228,66604703,67264547,67719642,68083427,68200059,68370172,68508794,68795322,68926523,69014810,69841235,69941939,71128725,71340267,71461187,71837018,72634490,72669228,73237490,73385217,73574783,74167242,74502842,74578559,75181835,75870640,76071023,76305194,76312986,76351379,77923547,78213923,78637179,78735035,79865210,79902140,80199683,80478664,81232959,81396155,81898120,82027754,82346243,82817772,82916764,82920842,83303834,83545340,83809482,83863163,83928698,84196403,85208618,85354470,85882010,85982524,86257739,86408319,87161388,87409823,87526643,87880826,87884988,88352584,88608863,89043098,89214760,89635442,90218202,90538497,91044768,91527107,91740563,92054339,92135385,92380754,92709938,92890235,93091610,93137884,93155685,93609887,93717707,93919922,94130859,94292090,94482042,94858883,95838252,95882568,96092210,96414635,96933148,97206267,97355363,97675386,97718079,98277744,98844563,99366064,99396657,99830987,...,3070378623722643147453372328557986835108956729916605543212672930268761371509012304410443049317925089855031542128462586982022743802183701127384800122541343352625025950487010920792178525685639239012458490874390766717479804037484552079863345214227866932463106111748022926092080399703590882006628635147660911584392788615407887233547254106840751087888607217171510754988690653148508835729756899780958770422604070185596928832956427300136023626726386169607560812410268704705638916467670792397971695985364974703862772549140905192549055121077210230147610264086500730680229861454882088929402193072589648082647699444273439756928292942833752869250221659232852413596986725617658977459851857940531356216916778943551050930171653433247232278721387127370239939510941016720312369681537654720620306945853325228080686150599117131594663164149779936078258603834055700619342547442583952140013194240697530984619630541913576234249611333409213760336745507943916363417304016737362706425066846612222257924067400757919003820763354661390672900353243560394964697704243611898324261894980884800584719399163548720296668339757024502589134953019850058500620521206416949833603895379265968633264896725742323653488520223767623629209905365004047723746232800399503838099553956274464367396113482368365871123715630039914316014299785821913706232673970778638525254792831401307221177488540476399417472124247588292366974345950128583787833584138186740069029140612192735337120857030618549576441733428876365946469660594320664216622839725182439807651783215070777837945946369871147191126406109800417470173808106933777119472369018358362159911288410401353215741832063680150852572042385095781700884559641602089749519863994506033998758208671406985768701521282356163319892318181841083630697426061199043596279280133369459573088636345058792040117700069531818382060495114090872625897383395388710720035918922861252173617831553868985538023991316821628518869211265137149071385647420424785006054456359046755597075405596003917857848615033394069777324069749879875497582773368432245251348320703445868768254382865912947256568953513745971532167544823161616369403670858933142152517922332549850168145618712851131709235157463985904960239050352638409624747628932047624113771345330973896119082909584714581618983170120637348589752368753699609936117258498708646823378028755929195478042826651940875268798184301386488081571105327227546342392558543656385561591208677829264365246582126869862251360112446258086033561069392090880963004578365815520424302011482917682882880228273816757738363545707070768466626256994527537965452483377455654698405096790221098837813397076513830365462272649406985923325911852308977086127873451173828969815883973874176873513897722785379355196379473480802586255799563701521584428863545623536555922968372678218636991783265466336391360268417984721408971668404478473844979016419264692484740127850661591629078504347367124462551580137662044041263636760732358333182265542988853239358859864098133370910474647280478627936114645934185681439038035418667330959642500058681985498549303738593381915117675435075412409024807503571768495429660981227650206180010610822463625382799131940511908967458913838099309534616879284542388423979309074159875757236589331171834426675476782836940457593507364902761737581728794832349976736248082653021655625090581745780727789072065987303591604854677264196213505140507847926932724290424323481321736962254058334553761371466799466175616748298342818742112693175100712637910916313595741555029435644140414089748098570284283465750297059916531991293569292346273558449248961236394867526391310354820257556977073288369411394662515514031461301394276827369210332972743547053881799867731370294287434770034142377531622518542027616886628505358436010447805154432698336110101028813206956449070645189224724043769040409235840052344454991679519181492965507788386254407223923765799494205199594661795468441173707439845837307732286077446244050774029437724255130814609321584006905049837918337860848508485936160757528995802068650524544329047010923879691283472845365346491391993708941078622556345751736104771614385494800778341989785641500783767248692910407003059343156700609775405121761645017769808243232807162410036144419884454395273283661531781188392624843118822661548273189396841469946604165960667071105016378893665872140326430525856578174545843183039037314708093948573178574887095829685473944707999103979277828735355865956729182112358401212995640982667891155528632195814934384021398619466094831029243174122291873083205261074357359626101640533220774473675787420744403012635619047091277827940227611503765641328161573689014838035876351778085489069884765682650180462857936614331069495662394152388540784734444235710727279842856064756880989609751293687580200531231565883971962049811527853977570958120584959356418109750993978359131516480166211612324789534809559377176524719237869300952758125135265332228625539813196315765053352844854884180588}
30638 1980196053825177989035187030825894824471421453785927657015182011741785013550121692527809: {214417,306310,367572,1865197,2414161,2630998,3327661,3608086,4828006,5017252,5071798,5924566,6420097,6533206,7749286,8229457,8478166,10031617,10176646,11109457,11468161,12005677,13792717,14167798,15039361,16282477,16337446,16459777,16712356,16979115,17846456,18111056,18982198,19222246,19309496,20077263,20351956,20374938,20693377,21723183,22217446,22619917,23173798,23492737,24308715,25155896,25929296,26100397,26155798,26512966,27107926,28177846,28300383,28691857,29170458,29552077,29895661,30076726,30313798,30753361,31095937,31296639,31498198,31609261,32545335,32917366,33459915,33908216,34600683,34688086,34715024,35353837,35559652,35690576,36369037,36455206,36706861,37721812,37886977,38146743,38805766,38895697,39054402,39157798,39731576,40107423,40151898,40564486,41739661,42239377,42436486,42572161,42904657,43020646,44698023,45236806,45560487,45884161,45935446,46168198,46251435,46470767,47036557,47424927,48795835,49334864,50798161,51726315,51935437,52069972,52197286,52543798,52745617,53715457,54038161,54238675,54619846,55174736,55501722,55698296,55968337,56575798,57077391,57379846,57568897,57728557,58555002,58593848,59638861,59809315,61538797,62071578,62073526,62660583,62663115,62755492,62872198,63214246,63573735,63899137,63936507,64838737,65086410,65490886,65918079,66243277,66386810,66840656,67561527,67719892,67811984,67949275,67987798,68554198,68725837,69425504,70250998,70418831,70550356,71343361,71380198,71585679,71649937,71660855,71771178,71803117,72733126,73408726,74491815,74699857,74851597,75195738,75656566,75911761,75918776,76105366,76288482,76441798,77145771,77308511,77720977,78062915,78103692,79457936,79664172,80021446,80117137,81539130,82669035,83362486,83473606,83897247,85140319,85408623,85462715,85587661,85993026,86467798,86799766,86945306,86975072,87340717,87352726,87722607,88180304,88503661,89390178,89517457,90239437,90292856,90662086,90836535,90933412,91677997,91727096,91952031,93408886,93628198,93675498,93957046,94395286,94838300,95062827,95120356,95242897,95667661,96036406,96091777,96656257,96892304,97255147,97500817,97846956,98234123,98854743,98872486,98889656,99202842,99461377,99877675,...,4605567935583964721180058492836980252663435094874908314819009395403142057263518456615664573976887634782547313192693880473034115703275551691077200183812015028937538925730516381188267788528458858518687736311586150076219706056226828119795017821341800398694659167622034389138120599555386323009942952721491367376589182923111830850320881160261126631832910825757266132483035979722763253594635349671438155633906105278395393249434640950204035440089579254411341218615403057058458374701506188596957543978047462055794158823711357788823582681615815345221415396129751096020344792182323133394103289608884472123971549166410159635392439414250629303875332488849278620395480088426488466189777786910797034325375168415326576395257480149870848418082080691055359909266411525080468554522306482080930460418779987842121029225898675697391994746224669904117387905751083550929013821163875928210019791361046296476929445812870364351374417000113820640505118261915874545125956025106044059637600269918333386886101101136878505731145031992086009350529865340592447046556365417847486392842471327200877079098745323080445002509635536753883702429529775087750930781809625424750405843068898952949897345088613485480232780335651435443814858047506071585619349200599255757149330934411696551094170223552548806685573445059871474021449678732870559349010956167957787882189247101960831766232810714599126208186371382438550461518925192875681750376207280110103543710918289103005681285545927824364662600143314548919704490891480996324934259587773659711477674822606166756918919554806720786689609164700626205260712160400665679208553527537543239866932615602029823612748095520226278858063577643672551326839462403134624279795991759050998137313007110478653052281923534244979838477272761625446046139091798565394418920200054189359632954517588188060176550104297727573090742671136308938846075093083066080053878384291878260426747330803478307035986975232442778303816897705723607078471130637177509081684538570133395613108394005876786772922550091104665986104624819813246374160052648367877022481055168803152381574298869420884853430270618957298251317234742424554105506288399713228776883498824775252218428069276697563852736195978857440358575528957614437121443398071436170657017996460844178624364377071872428474755180956022884628553130549414904175887748062970235067043133893793217064239977911312903197276452079732122356657990841319513588837815484578342386813016743896547869873190304793377040168669387129050341604088136321444506867548723280636453017224376524324320342410725136607545318560606152699939385491791306948178725066183482047607645185331648256720095614770745548193408974110478884988867778463465629191810176760743454723825960811265310270846584178069032794569210221203879383699345552282376643295318435304833884452559017327955487674898199504587040402626977082113457502606717710767468524628897038727110191775992387443617756521050686693827370206493066061895455141098537499773398314483279859038289796147200056365711970920717941904171968901278522158557053128000996439463750088022978247823955607890072872676513152613118613537211255357652743144491471841475309270015916233695438074198697910767863451188370757148964301925318926813582635968963611239813635854883996757751640013215174255410686390261047354142606372593192248524965104372123979532483437635872618671091683608098980955387407282015896294320257710761771890399086435636485221982605443381087501830642057200199199263425122447514228113169039762651068956866374470393612332544153466210621134622147855426425198625445589874797986940353938519410337673873441854592301289586965532230386335465609932554117091993773271047191952091415241053815499459115320580822699801597055441431152155051213566297433777813041425329942758037654015671707731649047504165151543219810434673605967783837086065653560613853760078516682487519278772239448261682579381610835885648699241307799391992693202661760561159768755961598429116169366076161044156586382696221913982376010357574756877506791272762728904241136293493703102975786816493570516385819536925209268048019737087990563411617933834518627604157157421578242201167512984678462251175650873039365610504589014735050914663107682642467526654712364849210743615054216629826681592909925492297671782588937264678233992322409784095262204919906248941000606657524568340498808210489645788784867261818764774558555972062140922859767862330643744528210917061998655968916743103033798935093773168537601819493461474001836733292948293722401576032097929199142246543864761183437809624807891611536039439152460799831161710513681131116604518953428570636916741910341417255648461992242360533522257053814527667128233604827148523975270694286904921496604243493591228582811177101666353566090919764284097135321484414626940531370300796847348825957943074717291780966356437180877439034627164626490967538697274720249317418487184302214339065764787078856803951429137187702897998342938309719794473647580029267282326270882}
30639 1986284079869790808225111758708664094637004272442717666465453291195621048242846200296462: {61274,459465,490096,551358,3946497,5412129,6271565,7242009,7525878,7607697,8886849,9799809,11623929,12717249,15082349,15264969,15615649,15847174,16183697,16895809,20890445,21251697,22011409,22308070,22638820,22688134,23865017,24136870,24506169,24657958,24981409,25068534,25439945,26616889,26769684,27166584,28473297,28833369,28964244,28994797,29384497,29669689,29897681,30375646,30527934,30562407,31229254,31444870,32411620,33326169,34760697,34765129,35417881,37365094,37733844,38497069,38893944,38893969,39233697,39769449,40661889,41465849,41728852,42266769,42385270,43090529,43168006,43242589,43393780,43755687,43946177,44449565,44613220,44703574,45043966,45115089,45470697,45949937,46134244,46966109,47152265,47247297,47638966,48277894,48619369,48736009,49068118,49376049,49664470,50862324,51269617,51366317,52032129,52042054,52072536,53230294,53339478,53476564,53535864,54682809,54977446,56400838,56492497,56582718,58208649,58485574,58581603,58607789,58736697,59335486,59597364,59721769,59954081,60227847,60747316,60846729,61668580,62187229,62879801,63233236,63379366,63654729,64530969,65087465,65148886,65943977,66428929,67855209,67903457,68513278,68903169,68968420,69252297,69525694,69599734,69622870,70831126,73179766,73242310,73579609,73873841,74002296,74765521,75082649,76072649,76103188,77157766,78073336,78104958,78295929,78444365,78714649,78815697,79006249,79892681,80261209,81929769,82458829,82762104,83252583,83547444,83550820,84649865,84764980,84780766,84863697,84898294,85248676,85731718,86069769,86528449,86781880,87415561,87832503,87890772,87954049,88138297,88187945,89031817,89048926,89360861,89550509,90082036,91678078,92716006,93107367,93110289,93802577,94133238,94308297,94821369,94898470,95447572,95694904,96620734,97232374,97629615,97777729,98236329,98809457,99322420,99580215,99938669,...,6908351903375947081770087739255470378995152642312362472228514093104713085895277684923496860965331452173820969789040820709551173554913327536615800275718022543406308388595774571782401682792688287778031604467379225114329559084340242179692526732012700598041988751433051583707180899333079484514914429082237051064883774384667746275481321740391689947749366238635899198724553969584144880391953024507157233450859157917593089874151961425306053160134368881617011827923104585587687562052259282895436315967071193083691238235567036683235374022423723017832123094194626644030517188273484700091154934413326708185957323749615239453088659121375943955812998733273917930593220132639732699284666680366195551488062752622989864592886220224806272627123121036583039863899617287620702831783459723121395690628169981763181543838848013546087992119337004856176081858626625326393520731745813892315029687041569444715394168719305546527061625500170730960757677392873811817688934037659066089456400404877500080329151651705317758596717547988129014025794798010888670569834548126771229589263706990801315618648117984620667503764453305130825553644294662631626396172714438137125608764603348429424846017632920228220349170503477153165722287071259107378429023800898883635723996401617544826641255335328823210028360167589807211032174518099305839023516434251936681823283870652941247649349216071898689312279557073657825692278387789313522625564310920165155315566377433654508521928318891736546993900214971823379556736337221494487401389381660489567216512233909250135378379332210081180034413747050939307891068240600998518812830291306314859800398923403044735419122143280339418287095366465508826990259193604701936419693987638576497205969510665717979578422885301367469757715909142438169069208637697848091628380300081284039449431776382282090264825156446591359636114006704463408269112639624599120080817576437817390640120996205217460553980462848664167455725346558585410617706695955766263622526807855200093419662591008815180159383825136656998979156937229719869561240078972551815533721582753204728572361448304131327280145405928435947376975852113636831158259432599569843165325248237162878327642103915046345779104293968286160537863293436421655682165097107154255985526994691266267936546565607808642712132771434034326942829695824122356263831622094455352600564700840689825596359966866969354795914678119598183534986986261979270383256723226867513580219525115844821804809785457190065560253004080693575512406132204482166760301323084920954679525836564786486480513616087704911317977840909229049909078237686960422268087599275223071411467777997472385080143422156118322290113461165718327483301667695198443787715265141115182085738941216897965406269876267103549191853815331805819075549018328423564964942977652957250826678838525991933231512347299256880560603940465623170186253910076566151202786943345558090665287663988581165426634781576030040741055309739599092843182711647806249660097471724919788557434694220800084548567956381076912856257953351917783237835579692001494659195625132034467371735933411835109309014769728919677920305816883036479114716737207762212963905023874350543157111298046866151795176782556135723446452887978390220373953953445416859720453782325995136627460019822761383116029585391571031213909558889788372787447656558185969298725156453808928006637525412148471433081110923023844441480386566142657835598629653454727832973908165071631252745963085800298798895137683671271342169753559643976603435299561705590418498816230199315931701933221783139637797938168384812196980410530907779115506510810162781888451934380448298345579503198414898831175637990659906570787928137122861580723249188672980871234049702395583162146728232576820349446150666719562137994914137056481023507561597473571256247727314829715652010408951675755629098480340920780640117775023731278918158359172392523869072416253828473048861961699087989039803992640841739653133942397643674254049114241566234879574044332870973564015536362135316260186909144093356361704440240554654463680224740355774578729305387813902072029605631985845117426900751777941406235736132367363301751269477017693376763476309559048415756883522102576371994661523963701289982068547273816115422581324944740022389364888238446507673883405897017350988483614676142893307379859373411500909986286852510748212315734468683177300892728147161837833958093211384289651793495965616792316375592997983953375114654550698402640659752806402729240192211002755099939422440583602364048146893798713369815797141775156714437211837417304059158728691199746742565770521696674906778430142855955375112865512125883472692988363540800283385580721791500692350407240722785962906041430357382244906365240386842874216765652499530349136379646426145702982226621940410797055451195271023238936914612075937671449534655771316158551940746939736451308045912080373976127730776453321508598647180618285205927143705781554346997514407464579691710471370043900923489406323}
30640 1992390715257729459701519623346136298456517747698041797717107901394963119157228158066513: {91911,428834,612620,735144,827037,1437871,2536231,3084439,3730394,3996679,4543159,4828322,5261996,5270791,5815759,6655322,7216172,7627639,8891671,9612391,9656012,10034504,10143596,10511671,11288817,11849132,12840194,13066412,13377271,14447119,15158911,15498572,15691999,16458914,16956332,17110399,17817871,20063234,20353292,21513199,22218914,22737919,22936322,23087191,23770761,24011354,24481399,26217679,26390911,27585434,28298525,28335596,28808599,28980751,30078722,32564954,32579311,32674892,32749879,32919554,33424712,33462105,33958230,34032201,34960711,35692912,35807791,36146119,36205305,36222112,36986937,37496551,37602801,37964396,38170039,38338231,38444492,38618992,40154526,40514525,40703912,40749876,41186479,41386754,41853631,42020239,43350511,43446366,43516471,44013919,44434892,45239834,45563469,45791901,46347596,46656031,46820551,46843881,46984999,46985474,47167305,48617430,50311792,51858592,52161065,52200794,52311596,52533391,53025932,53180671,54215852,54242225,54310639,55766525,56047641,56355692,56600766,56720119,57200071,57383714,57667805,58340916,59104154,59113399,59431279,59791322,59907559,60153452,60627596,61016359,61506722,62191874,62593278,62751631,62996396,63218522,63537511,63577905,64752009,65090670,65834732,66040231,66507439,66663031,66845705,66919830,67055361,67565949,67816432,68060119,68314169,69201366,69297079,69376172,69430048,69759751,70707674,71119304,71143879,71381152,71450671,71458449,72416841,72738074,72910412,73132879,73413722,73437799,73602177,74350831,74496705,75109711,75261271,75412759,75443624,75773954,75934145,76293486,77085725,77611532,77676439,77791394,78063081,78108804,78315596,78877111,79041545,79463152,79475719,79845441,80009217,80214846,80303796,80371471,80520511,81128972,81413239,82466169,83479322,83486191,83733041,84478754,84601257,84872972,84874077,85105039,85144322,85809314,86041292,86210525,87589759,87728361,87880711,88026079,89003229,89396046,90473612,91120974,91636879,91768322,91870892,92336396,92502870,92941534,93781759,94066519,94073114,94849854,95069049,95128985,95769031,96898279,97591670,97723329,97882591,98669728,98723479,...,9211135871167929442360116985673960505326870189749816629638018790806284114527036913231329147953775269565094626385387760946068231406551103382154400367624030057875077851461032762376535577056917717037375472623172300152439412112453656239590035642683600797389318335244068778276241199110772646019885905442982734753178365846223661700641762320522253263665821651514532264966071959445526507189270699342876311267812210556790786498869281900408070880179158508822682437230806114116916749403012377193915087956094924111588317647422715577647165363231630690442830792259502192040689584364646266788206579217768944247943098332820319270784878828501258607750664977698557240790960176852976932379555573821594068650750336830653152790514960299741696836164161382110719818532823050160937109044612964161860920837559975684242058451797351394783989492449339808234775811502167101858027642327751856420039582722092592953858891625740728702748834000227641281010236523831749090251912050212088119275200539836666773772202202273757011462290063984172018701059730681184894093112730835694972785684942654401754158197490646160890005019271073507767404859059550175501861563619250849500811686137797905899794690177226970960465560671302870887629716095012143171238698401198511514298661868823393102188340447105097613371146890119742948042899357465741118698021912335915575764378494203921663532465621429198252416372742764877100923037850385751363500752414560220207087421836578206011362571091855648729325200286629097839408981782961992649868519175547319422955349645212333513837839109613441573379218329401252410521424320801331358417107055075086479733865231204059647225496191040452557716127155287345102653678924806269248559591983518101996274626014220957306104563847068489959676954545523250892092278183597130788837840400108378719265909035176376120353100208595455146181485342272617877692150186166132160107756768583756520853494661606956614071973950464885556607633795411447214156942261274355018163369077140266791226216788011753573545845100182209331972209249639626492748320105296735754044962110337606304763148597738841769706860541237914596502634469484849108211012576799426457553766997649550504436856138553395127705472391957714880717151057915228874242886796142872341314035992921688357248728754143744856949510361912045769257106261098829808351775496125940470134086267787586434128479955822625806394552904159464244713315981682639027177675630969156684773626033487793095739746380609586754080337338774258100683208176272642889013735097446561272906034448753048648640684821450273215090637121212305399878770983582613896357450132366964095215290370663296513440191229541491096386817948220957769977735556926931258383620353521486909447651921622530620541693168356138065589138420442407758767398691104564753286590636870609667768905118034655910975349796399009174080805253954164226915005213435421534937049257794077454220383551984774887235513042101373387654740412986132123790910282197074999546796628966559718076579592294400112731423941841435883808343937802557044317114106256001992878927500176045956495647911215780145745353026305226237227074422510715305486288982943682950618540031832467390876148397395821535726902376741514297928603850637853627165271937927222479627271709767993515503280026430348510821372780522094708285212745186384497049930208744247959064966875271745237342183367216197961910774814564031792588640515421523543780798172871272970443965210886762175003661284114400398398526850244895028456226338079525302137913732748940787224665088306932421242269244295710852850397250891179749595973880707877038820675347746883709184602579173931064460772670931219865108234183987546542094383904182830482107630998918230641161645399603194110882862304310102427132594867555626082850659885516075308031343415463298095008330303086439620869347211935567674172131307121227707520157033364975038557544478896523365158763221671771297398482615598783985386405323521122319537511923196858232338732152322088313172765392443827964752020715149513755013582545525457808482272586987406205951573632987141032771639073850418536096039474175981126823235867669037255208314314843156484402335025969356924502351301746078731221009178029470101829326215365284935053309424729698421487230108433259653363185819850984595343565177874529356467984644819568190524409839812497882001213315049136680997616420979291577569734523637529549117111944124281845719535724661287489056421834123997311937833486206067597870187546337075203638986922948003673466585896587444803152064195858398284493087729522366875619249615783223072078878304921599662323421027362262233209037906857141273833483820682834511296923984484721067044514107629055334256467209654297047950541388573809842993208486987182457165622354203332707132181839528568194270642968829253881062740601593694697651915886149434583561932712874361754878069254329252981935077394549440498634836974368604428678131529574157713607902858274375405795996685876619439588947295160058534564652541764}
30641 1998516016543839534925850299318243739308811718259699569715726987532259225360024584117675: {122548,643251,765775,918930,980192,1102716,5595591,6577495,7242483,7892994,8780191,9020215,9982983,10824258,12070015,12451351,12543130,12679495,14484018,14811415,15051756,15215394,16122511,16333015,16856743,17773698,17826391,19260291,19373215,19599618,21195415,23247858,23866579,24431023,24537271,24688371,25434498,25441615,28204111,28834111,29246623,30094851,30164698,30529938,31231298,31694348,32367394,33328371,33791618,33917719,34404483,34804423,35333623,35419495,35615923,36017031,36877471,37932631,40843615,41378151,41468563,41780890,42503394,42871471,44022818,44616140,45118083,45277640,45376268,45952951,46620739,46969183,47455495,47730034,48055615,48160003,48273740,48847431,49012338,49315916,49379331,49962818,50137068,50205151,50879890,50937345,51369679,51936391,52276183,53138623,53233778,53539368,53871991,54304471,54333168,54627331,55489363,55510423,55543615,56946594,57666738,57928488,57934495,57989594,58768994,58875631,59339378,59795362,60231789,60623959,60751292,61055868,61124814,62080131,62229391,62458508,62492863,62889740,64651063,64823240,65169549,65389495,65502823,65843023,66013171,66282415,66613459,66652338,67216339,67769815,67859751,67907911,69521394,69530258,70444615,70478211,70835762,70854823,70890991,72926145,73483303,74730188,75191815,75467688,75784495,75892099,75916291,76378039,76486063,76994138,77477443,77787888,77787938,77933791,78301191,78467394,78745495,79538898,79897939,80561239,81316423,81323778,82293415,82931698,83457704,84533538,84770540,84901149,86075571,86181058,86336012,86485178,86720215,86787560,87511374,87851731,87892354,88656231,88869919,88899130,89064211,89226440,89407148,89686983,90087932,90230178,90941394,91122451,91130383,91138015,91899874,92260083,92268488,93287811,93889917,93932218,94304530,94418623,94470211,94494594,94827783,95277932,95464183,95523679,96555788,97014415,97238738,97472018,97636005,97894495,98136236,98752098,99328940,99844111,...,13816703806751894163540175478510940757990305284624724944457028186209426171790555369846993721930662904347641939578081641419102347109826655073231600551436045086812616777191549143564803365585376575556063208934758450228659118168680484359385053464025401196083977502866103167414361798666158969029828858164474102129767548769335492550962643480783379895498732477271798397449107939168289760783906049014314466901718315835186179748303922850612106320268737763234023655846209171175375124104518565790872631934142386167382476471134073366470748044847446035664246188389253288061034376546969400182309868826653416371914647499230478906177318242751887911625997466547835861186440265279465398569333360732391102976125505245979729185772440449612545254246242073166079727799234575241405663566919446242791381256339963526363087677696027092175984238674009712352163717253250652787041463491627784630059374083138889430788337438611093054123251000341461921515354785747623635377868075318132178912800809755000160658303303410635517193435095976258028051589596021777341139669096253542459178527413981602631237296235969241335007528906610261651107288589325263252792345428876274251217529206696858849692035265840456440698341006954306331444574142518214756858047601797767271447992803235089653282510670657646420056720335179614422064349036198611678047032868503873363646567741305882495298698432143797378624559114147315651384556775578627045251128621840330310631132754867309017043856637783473093987800429943646759113472674442988974802778763320979134433024467818500270756758664420162360068827494101878615782136481201997037625660582612629719600797846806089470838244286560678836574190732931017653980518387209403872839387975277152994411939021331435959156845770602734939515431818284876338138417275395696183256760600162568078898863552764564180529650312893182719272228013408926816538225279249198240161635152875634781280241992410434921107960925697328334911450693117170821235413391911532527245053615710400186839325182017630360318767650273313997958313874459439739122480157945103631067443165506409457144722896608262654560290811856871894753951704227273662316518865199139686330650496474325756655284207830092691558208587936572321075726586872843311364330194214308511971053989382532535873093131215617285424265542868068653885659391648244712527663244188910705201129401681379651192719933733938709591829356239196367069973972523958540766513446453735027160439050231689643609619570914380131120506008161387151024812264408964333520602646169841909359051673129572972961027232175409822635955681818458099818156475373920844536175198550446142822935555994944770160286844312236644580226922331436654966603335390396887575430530282230364171477882433795930812539752534207098383707630663611638151098036656847129929885955305914501653357677051983866463024694598513761121207880931246340372507820153132302405573886691116181330575327977162330853269563152060081482110619479198185686365423295612499320194943449839577114869388441600169097135912762153825712515906703835566475671159384002989318391250264068934743471866823670218618029539457839355840611633766072958229433474415524425927810047748701086314222596093732303590353565112271446892905775956780440747907906890833719440907564651990273254920039645522766232059170783142062427819117779576745574895313116371938597450312907617856013275050824296942866162221846047688882960773132285315671197259306909455665947816330143262505491926171600597597790275367342542684339507119287953206870599123411180836997632460398631863403866443566279275595876336769624393960821061815558231013021620325563776903868760896596691159006396829797662351275981319813141575856274245723161446498377345961742468099404791166324293456465153640698892301333439124275989828274112962047015123194947142512495454629659431304020817903351511258196960681841561280235550047462557836316718344785047738144832507656946097723923398175978079607985281683479306267884795287348508098228483132469759148088665741947128031072724270632520373818288186712723408880481109308927360449480711549157458610775627804144059211263971690234853801503555882812471472264734726603502538954035386753526952619118096831513767044205152743989323047927402579964137094547632230845162649889480044778729776476893015347766811794034701976967229352285786614759718746823001819972573705021496424631468937366354601785456294323675667916186422768579303586991931233584632751185995967906750229309101396805281319505612805458480384422005510199878844881167204728096293787597426739631594283550313428874423674834608118317457382399493485131541043393349813556860285711910750225731024251766945385976727081600566771161443583001384700814481445571925812082860714764489812730480773685748433531304999060698272759292852291405964453243880821594110902390542046477873829224151875342899069311542632317103881493879472902616091824160747952255461552906643017197294361236570411854287411563108693995028814929159383420942740087801846978812646}
30642 2004660040453846485481813939564002659356603660631451515195972761940677477142544835451444: {153185,183822,336941,857668,1225240,1378395,1470288,1654074,2536397,2719217,2875742,3145517,3449777,4543457,4604141,5072462,5271137,5876657,6168878,6420941,7266317,7460788,7628141,7993358,9086318,9656644,10523992,10541582,10572257,11290337,11589197,11631518,11768417,11839491,12126641,12663437,13020941,13259117,13310644,13913441,14432344,15159917,15255278,15337697,15752237,16236387,17170541,17783342,18407777,18814695,18936941,19224782,19312024,19582817,19758797,20069008,20287192,20461997,21023342,21726027,22577634,22739441,22823091,22972337,23698264,24134897,24541037,25004717,25410017,25680388,26132824,26219441,26277197,26660547,26754542,27315437,28810541,28894238,29399427,29899697,30014177,30317822,30528941,30997144,31383998,31385441,31613537,32917828,33912664,34220798,34871787,35635742,35697377,36204941,36993197,37555277,38151747,38228717,39617935,40126468,40186337,40706584,40910957,41856497,42356141,43026398,43408817,44016941,44437828,45247047,45475838,45794907,45872644,45890477,46000397,46174382,46714097,46846947,46988237,47043041,47541522,48022708,48192077,48551091,48962798,49010657,49446497,49773041,50099297,50316641,50687427,51455597,52435358,52781822,53830541,54314417,54958577,55170868,55440941,55770175,56563937,56597050,56671192,56720335,56724077,57097457,57257357,57576941,57617198,57961502,58321517,58958477,59117537,59488397,60157444,60342175,60704177,61073357,61644895,62020877,62651117,62671335,62913377,63594317,63755091,65004257,65129908,65158622,65349784,65499758,65839108,66034227,66044897,66849424,66924210,67916460,68064402,68374637,68838641,69301997,69921422,71148941,71385824,71455757,71595051,71615582,72292238,72410610,72444224,72680141,73025491,73518507,73973874,74406797,74944227,74993102,75165617,75205602,75418157,75928792,75939115,76319835,76340078,76476641,76676462,76677857,76888984,77237984,77732141,78073135,78433037,78612175,78782897,79032557,79232141,79850667,79929677,80309052,80526317,80675297,80734927,81029050,81407824,81499752,81765617,82161137,82372958,82773508,83196941,83707262,84040478,84425441,85419891,86500107,86701022,86892732,86916077,86984391,87032942,88027838,88153491,88869784,89009067,89693043,90479668,90540977,91126938,91260557,91583802,91643597,91687221,91691441,91930541,92360417,92695192,93312062,93412735,93583987,93641102,93687762,93969998,93970948,94120877,94334610,94973357,95776097,95917517,96905441,96952397,97234860,98076941,99476141,99978507,...,20725055710127841245310263217766411136985457926937087416685542279314139257685833054770490582895994356521462909367122462128653520664739982609847400827154067630218925165787323715347205048378064863334094813402137675342988677253020726539077580196038101794125966254299154751121542697999238453544743287246711153194651323154003238826443965221175069843248098715907697596173661908752434641175859073521471700352577473752779269622455884275918159480403106644851035483769313756763062686156777848686308947901213579251073714706701110049706122067271169053496369282583879932091551564820454100273464803239980124557871971248845718359265977364127831867438996199821753791779660397919198097854000041098586654464188257868969593778658660674418817881369363109749119591698851862862108495350379169364187071884509945289544631516544040638263976358011014568528245575879875979180562195237441676945089061124708334146182506157916639581184876500512192882273032178621435453066802112977198268369201214632500240987454955115953275790152643964387042077384394032666011709503644380313688767791120972403946855944353953862002511293359915392476660932883987894879188518143314411376826293810045288274538052898760684661047511510431459497166861213777322135287071402696650907171989204852634479923766005986469630085080502769421633096523554297917517070549302755810045469851611958823742948047648215696067936838671220973477076835163367940567876692932760495465946699132300963525565784956675209640981700644915470138670209011664483462204168144981468701649536701727750406135137996630243540103241241152817923673204721802995556438490873918944579401196770209134206257366429841018254861286099396526480970777580814105809259081962915729491617908531997153938735268655904102409273147727427314507207625913093544274885140900243852118348295329146846270794475469339774078908342020113390224807337918873797360242452729313452171920362988615652381661941388545992502367176039675756231853120087867298790867580423565600280258987773026445540478151475409970996937470811689159608683720236917655446601164748259614185717084344912393981840436217785307842130927556340910493474778297798709529495975744711488634982926311745139037337312881904858481613589880309264967046495291321462767956580984073798803809639696823425928136398314302102980828489087472367068791494866283366057801694102522069476789079900600908064387744034358794550604960958785937811149770169680602540740658575347534465414429356371570196680759012242080726537218396613446500280903969254762864038577509694359459441540848263114733953933522727687149727234713060881266804262797825669214234403333992417155240430266468354966870340383497154982449905003085595331363145795423345546257216823650693896218809628801310647575561445995417457226647054985270694894828932958871752480036515577975799694537041897770641681811821396869510558761730229698453608360830036674271995862991965743496279904344728090122223165929218797278529548134943418748980292415174759365672304082662400253645703869143230738568773860055753349713506739076004483977586875396103402115207800235505327927044309186759033760917450649109437344150211623286638891715071623051629471333894140598455385530347668407170339358663935170661121861860336250579161361346977985409882380059468284149348088756174713093641728676669365118362342969674557907896175469361426784019912576236445414299243332769071533324441159698427973506795888960364183498921724495214893758237889257400896396685413051013814026509260678931929810305898685116771255496448690597947795105799665349418913393814505154436590941231592723337346519532430488345665355803141344895036738509595244696493526913971979719712363784411368584742169747566018942613702149107186749486440184697730461048338452000158686413984742411169443070522684792420713768743181944489146956031226855027266887295441022762341920353325071193836754475077517177571607217248761485419146585885097263967119411977922525218959401827192931022762147342724698704638722132998612920692046609086405948780560727432280069085113320721663963391040674221067323736187916163441706216088816895957535352280702255333824218707208397102089905253808431053080130290428928677145247270650566307729115983984571891103869946205641821448346267743974834220067168094664715339523021650217691052052965450844028428679922139578120234502729958860557532244636947203406049531902678184441485513501874279634152868955380487896850376949126778993951860125343963652095207921979258419208187720576633008265299818267321750807092144440681396140109447391425325470143311635512251912177476186073599240227697311565090024720335290428567866125338596536377650418078965090622400850156742165374502077051221722168357888718124291072146734719095721160528622650296957498591047409138939278437108946679865821232391166353585813069716810743836227813014348603967313948475655822240819209353924137736241121928383192329359964525795941541854855617781431117344663040992543222393739075131414110131702770468218969}
30643 2010822843884868948003625885288238526164167008536753098662085014210805665363376486031555: {30643,245096,275733,1072085,1286502,1531550,1837860,1960384,2205432,2481111,4313613,7608693,9208493,9253317,9325985,11191182,11990037,12070805,12628301,13154990,13629477,14484966,14715233,15785988,15812373,16638305,16898021,17447277,17560382,17751293,18019277,18040430,19965966,20735981,21067553,21648516,22866221,22882917,24140030,24538877,24902702,25086260,25358990,26550557,26675013,27122501,27305261,28205957,28837173,28968036,28998593,29622830,29673581,30103512,30240653,30430788,31535013,32100485,32245022,32666030,32809121,33713486,33866451,34589357,34806701,35547396,35618261,35652782,37916273,38520582,38746430,38899061,39199236,40084577,40131813,41147285,41215997,42390830,42874277,43341357,44829473,45476733,46495716,46623797,47075997,47082173,47733158,48862046,49074542,49376742,49587293,50158085,50208437,50342321,50868996,50883230,51331197,53142101,53453613,53875517,54048257,54308033,54630917,55097237,55547285,55881437,56408222,56499893,56548001,57181061,57340805,57668222,58493246,59914433,60028385,60189702,60329396,61059876,61747613,62041061,62462596,63388696,64539597,64559573,64734788,66437693,66656742,67277861,67583236,67835438,68213757,68808966,68963585,69109757,69261573,69608846,70667246,70838990,71231846,71312283,71646497,72034062,72294773,73444197,73589261,73754942,75196805,75706181,75865262,75897077,76585157,77761061,78551117,78653037,78724997,79172733,80103797,80566541,81108293,81321761,81412385,81687230,82298885,82756302,82937126,83561780,84895575,85006788,85742942,85844321,86425797,86942253,88045636,89070053,89232280,89719253,90236166,90555280,90752536,90883061,91373297,91545293,91905902,92795381,93205037,93241478,93938366,94424837,94877741,94910990,95208737,95460068,96111230,96135821,96320006,96547480,97415237,97694862,97737933,98024676,98249637,98622461,98631832,98700257,98758662,99925636,...,27633407613503788327080350957021881515980610569249449888914056372418852343581110739693987443861325808695283879156163282838204694219653310146463201102872090173625233554383098287129606731170753151112126417869516900457318236337360968718770106928050802392167955005732206334828723597332317938059657716328948204259535097538670985101925286961566759790997464954543596794898215878336579521567812098028628933803436631670372359496607845701224212640537475526468047311692418342350750248209037131581745263868284772334764952942268146732941496089694892071328492376778506576122068753093938800364619737653306832743829294998460957812354636485503775823251994933095671722372880530558930797138666721464782205952251010491959458371544880899225090508492484146332159455598469150482811327133838892485582762512679927052726175355392054184351968477348019424704327434506501305574082926983255569260118748166277778861576674877222186108246502000682923843030709571495247270755736150636264357825601619510000321316606606821271034386870191952516056103179192043554682279338192507084918357054827963205262474592471938482670015057813220523302214577178650526505584690857752548502435058413393717699384070531680912881396682013908612662889148285036429513716095203595534542895985606470179306565021341315292840113440670359228844128698072397223356094065737007746727293135482611764990597396864287594757249118228294631302769113551157254090502257243680660621262265509734618034087713275566946187975600859887293518226945348885977949605557526641958268866048935637000541513517328840324720137654988203757231564272962403994075251321165225259439201595693612178941676488573121357673148381465862035307961036774418807745678775950554305988823878042662871918313691541205469879030863636569752676276834550791392366513521200325136157797727105529128361059300625786365438544456026817853633076450558498396480323270305751269562560483984820869842215921851394656669822901386234341642470826783823065054490107231420800373678650364035260720637535300546627995916627748918879478244960315890207262134886331012818914289445793216525309120581623713743789507903408454547324633037730398279372661300992948651513310568415660185383116417175873144642151453173745686622728660388428617023942107978765065071746186262431234570848531085736137307771318783296489425055326488377821410402258803362759302385439867467877419183658712478392734139947945047917081533026892907470054320878100463379287219239141828760262241012016322774302049624528817928667041205292339683818718103346259145945922054464350819645271911363636916199636312950747841689072350397100892285645871111989889540320573688624473289160453844662873309933206670780793775150861060564460728342955764867591861625079505068414196767415261327223276302196073313694259859771910611829003306715354103967732926049389197027522242415761862492680745015640306264604811147773382232362661150655954324661706539126304120162964221238958396371372730846591224998640389886899679154229738776883200338194271825524307651425031813407671132951342318768005978636782500528137869486943733647340437236059078915678711681223267532145916458866948831048851855620095497402172628445192187464607180707130224542893785811551913560881495815813781667438881815129303980546509840079291045532464118341566284124855638235559153491149790626232743877194900625815235712026550101648593885732324443692095377765921546264570631342394518613818911331895632660286525010983852343201195195580550734685085368679014238575906413741198246822361673995264920797263726807732887132558551191752673539248787921642123631116462026043240651127553807737521793193382318012793659595324702551962639626283151712548491446322892996754691923484936198809582332648586912930307281397784602666878248551979656548225924094030246389894285024990909259318862608041635806703022516393921363683122560471100094925115672633436689570095476289665015313892195447846796351956159215970563366958612535769590574697016196456966264939518296177331483894256062145448541265040747636576373425446817760962218617854720898961423098314917221551255608288118422527943380469707603007111765624942944529469453207005077908070773507053905238236193663027534088410305487978646095854805159928274189095264461690325299778960089557459552953786030695533623588069403953934458704571573229519437493646003639945147410042992849262937874732709203570912588647351335832372845537158607173983862467169265502371991935813500458618202793610562639011225610916960768844011020399757689762334409456192587575194853479263188567100626857748847349669216236634914764798986970263082086786699627113720571423821500451462048503533890771953454163201133542322887166002769401628962891143851624165721429528979625460961547371496867062609998121396545518585704582811928906487761643188221804781084092955747658448303750685798138623085264634207762987758945805232183648321495904510923105813286034394588722473140823708574823126217387990057629858318766841885480175603693957625292}
30644 2017004483905933602211174386968400034918793327700352831050758527361016198237636371713697: {214459,306370,367644,398203,673882,1715336,1929753,2048659,2297325,2450480,2756790,2940576,3308148,3875659,4604443,5072794,5438434,5751484,6291034,6899554,7327123,8411659,9086914,9208282,10033603,10144924,10213459,10542274,11291083,11753314,12337756,12723883,12841882,13081363,13795459,13973803,14532634,14921576,15256282,15986716,16285723,16463059,16786773,18172636,18938203,19313288,19732485,19818763,21047984,21083164,21144514,21727449,21749659,22580674,23178394,23263036,23536834,23678982,24194563,24253282,25326874,26041882,26278963,26340573,26518234,26621288,27060645,27826882,28864688,29948949,30319834,30510556,30588163,30675394,31357825,31444603,31504474,32472774,32981659,34341082,34512883,35361043,35566684,36210045,36815554,37354053,37629390,37873882,38038485,38063059,38449564,38624048,39165634,39517594,40138016,40574384,40923994,41581483,42046684,42414523,42913483,43452054,44434245,44902843,45155268,45478882,45563659,45646182,45944674,47046283,47210659,47396528,48269794,48367533,48999045,49082074,49830883,50009434,50570229,50820034,51296659,51360776,51946243,52265648,52438882,52554394,52756603,53321094,53479173,53509084,53888083,54630874,55465109,55498363,56941459,57621082,57740659,57780873,57788476,58119645,58697323,58798854,59799394,60028354,60635644,60761203,61057882,61994288,62767996,62770882,63227074,63586245,63912643,65008843,65835656,66413059,67825328,68441596,69743574,70898083,71271484,71394754,71599737,71818459,72409882,72736243,73293069,73346659,73611813,73986394,74065113,74108059,74867659,75019363,75110554,75411745,76303494,76324845,76457434,77888059,78078245,79235870,79237843,79408469,80252936,80372674,80918485,81413168,81771523,81821914,82216483,83712994,84431563,84479045,84612333,84712282,86052796,86302853,86502333,86817634,86922403,87505459,87739869,88033882,88232659,88875656,90284553,90403459,90494094,90951676,91589814,91698163,91745288,91780954,91985083,92000794,92348764,92414923,93415363,93428194,93693894,93976474,94086082,95083044,95405659,95971723,96045416,96384154,96677683,96959563,97102182,97663003,97925596,98021314,98892994,99483523,99546082,99623059,99985113,...,41450111420255682490620526435532822273970915853874174833371084558628278515371666109540981165791988713042925818734244924257307041329479965219694801654308135260437850331574647430694410096756129726668189626804275350685977354506041453078155160392076203588251932508598309502243085395998476907089486574493422306389302646308006477652887930442350139686496197431815395192347323817504869282351718147042943400705154947505558539244911768551836318960806213289702070967538627513526125372313555697372617895802427158502147429413402220099412244134542338106992738565167759864183103129640908200546929606479960249115743942497691436718531954728255663734877992399643507583559320795838396195708000082197173308928376515737939187557317321348837635762738726219498239183397703725724216990700758338728374143769019890579089263033088081276527952716022029137056491151759751958361124390474883353890178122249416668292365012315833279162369753001024385764546064357242870906133604225954396536738402429265000481974909910231906551580305287928774084154768788065332023419007288760627377535582241944807893711888707907724005022586719830784953321865767975789758377036286628822753652587620090576549076105797521369322095023020862918994333722427554644270574142805393301814343978409705268959847532011972939260170161005538843266193047108595835034141098605511620090939703223917647485896095296431392135873677342441946954153670326735881135753385865520990931893398264601927051131569913350419281963401289830940277340418023328966924408336289962937403299073403455500812270275993260487080206482482305635847346409443605991112876981747837889158802393540418268412514732859682036509722572198793052961941555161628211618518163925831458983235817063994307877470537311808204818546295454854629014415251826187088549770281800487704236696590658293692541588950938679548157816684040226780449614675837747594720484905458626904343840725977231304763323882777091985004734352079351512463706240175734597581735160847131200560517975546052891080956302950819941993874941623378319217367440473835310893202329496519228371434168689824787963680872435570615684261855112681820986949556595597419058991951489422977269965852623490278074674625763809716963227179760618529934092990582642925535913161968147597607619279393646851856272796628604205961656978174944734137582989732566732115603388205044138953578159801201816128775488068717589101209921917571875622299540339361205081481317150695068930828858712743140393361518024484161453074436793226893000561807938509525728077155019388718918883081696526229467907867045455374299454469426121762533608525595651338428468806667984834310480860532936709933740680766994309964899810006171190662726291590846691092514433647301387792437619257602621295151122891990834914453294109970541389789657865917743504960073031155951599389074083795541283363623642793739021117523460459396907216721660073348543991725983931486992559808689456180244446331858437594557059096269886837497960584830349518731344608165324800507291407738286461477137547720111506699427013478152008967955173750792206804230415600471010655854088618373518067521834901298218874688300423246573277783430143246103258942667788281196910771060695336814340678717327870341322243723720672501158322722693955970819764760118936568298696177512349426187283457353338730236724685939349115815792350938722853568039825152472890828598486665538143066648882319396855947013591777920728366997843448990429787516475778514801792793370826102027628053018521357863859620611797370233542510992897381195895590211599330698837826787629010308873181882463185446674693039064860976691330711606282689790073477019190489392987053827943959439424727568822737169484339495132037885227404298214373498972880369395460922096676904000317372827969484822338886141045369584841427537486363888978293912062453710054533774590882045524683840706650142387673508950155034355143214434497522970838293171770194527934238823955845050437918803654385862045524294685449397409277444265997225841384093218172811897561121454864560138170226641443327926782081348442134647472375832326883412432177633791915070704561404510667648437414416794204179810507616862106160260580857857354290494541301132615458231967969143782207739892411283642896692535487949668440134336189329430679046043300435382104105930901688056857359844279156240469005459917721115064489273894406812099063805356368882971027003748559268305737910760975793700753898253557987903720250687927304190415843958516838416375441153266016530599636534643501614184288881362792280218894782850650940286623271024503824354952372147198480455394623130180049440670580857135732250677193072755300836157930181244801700313484330749004154102443444336715777436248582144293469438191442321057245300593914997182094818277878556874217893359731642464782332707171626139433621487672455626028697207934627896951311644481638418707848275472482243856766384658719929051591883083709711235562862234689326081985086444787478150262828220263405540936437938}
30645 2023205017758491566604406185122886688897055169519926071597189922309018304683479317507300: {61286,459555,490192,551466,1010823,1500919,2144170,2573004,3063100,3675720,3920768,4135185,4410864,4962222,7189355,7609191,8157651,8627226,9436551,10349331,12681155,13056379,13630371,13797443,13812423,15217386,15422195,15813411,16899127,17629971,18416986,18506634,18651970,19262823,19983395,20405531,21798951,22382364,22715795,22884423,23293627,23980074,24141610,25256602,26309980,26353955,27258954,28969932,29000491,29078795,29430466,31377931,31571976,31624746,31716771,33276610,33796042,33871011,34767591,34894554,35071819,35120764,35305251,35502586,35518473,36038554,36080860,36379923,36882299,37990311,38138195,38901607,39062823,39777351,39931932,40878331,41471962,41740323,42135106,42377011,43297032,44458355,44940679,45479751,45732442,45765834,45958979,46013091,46205507,47256711,48061955,48280060,48709161,49077754,49805404,50172520,50717980,51511623,52283027,52558355,53101114,53350026,54245002,54610522,55100851,55223331,55967879,56264947,56411914,56444085,56503591,56810823,57606199,57674346,57775723,57936072,57997186,58298951,58748451,58883339,59245660,59276391,59347162,60207024,60481306,60861576,61385991,63070026,63200707,64200970,64490044,64563811,65178081,65332060,65618242,66886355,67426972,67732902,67916819,68218323,68469273,68917011,69178714,69613402,70221319,71013539,71094792,71236522,71305564,72235595,72404691,73623111,75014151,75794555,75832546,76230051,77041164,77492860,77766199,77798122,78398472,78459995,78658323,78831591,79292891,79981641,80169154,80263626,80277127,81946311,82294570,82431994,84039739,84684647,84781660,85551995,85748554,85784051,86431623,86682714,88198281,89089355,89236267,89658946,89699091,90042531,90509731,90889027,90953466,91586823,91764619,91869383,92656307,92991432,93247594,94151994,94156323,94164346,94669427,94840611,95215003,95466316,95830531,96549019,97724092,97789043,98149084,98753484,99174586,...,62175167130383523735930789653299233410956373780811262250056626837942417773057499164311471748687983069564388728101367386385960561994219947829542202481462202890656775497361971146041615145134194590002284440206413026028966031759062179617232740588114305382377898762897464253364628093997715360634229861740133459583953969462009716479331895663525209529744296147723092788520985726257303923527577220564415101057732421258337808867367652827754478441209319934553106451307941270289188058470333546058926843703640737753221144120103330149118366201813507160489107847751639796274654694461362300820394409719940373673615913746537155077797932092383495602316988599465261375338981193757594293562000123295759963392564773606908781335975982023256453644108089329247358775096555588586325486051137508092561215653529835868633894549632121914791929074033043705584736727639627937541686585712325030835267183374125002438547518473749918743554629501536578646819096535864306359200406338931594805107603643897500722962364865347859827370457931893161126232153182097998035128510933140941066303373362917211840567833061861586007533880079746177429982798651963684637565554429943234130478881430135864823614158696282053983142534531294378491500583641331966405861214208089952721515967614557903439771298017959408890255241508308264899289570662893752551211647908267430136409554835876471228844142944647088203810516013662920431230505490103821703630078798281486397840097396902890576697354870025628922945101934746410416010627034993450386612504434944406104948610105183251218405413989890730620309723723458453771019614165408986669315472621756833738203590310627402618772099289523054764583858298189579442912332742442317427777245888747188474853725595991461816205805967712307227819443182281943521622877739280632824655422700731556355044885987440538812383426408019322236725026060340170674422013756621392080727358187940356515761088965846957144985824165637977507101528119027268695559360263601896372602741270696800840776963319079336621434454426229912990812412435067478826051160710752966339803494244778842557151253034737181945521308653355923526392782669022731480424334893396128588487927234134465904948778935235417112011938645714575444840769640927794901139485873964388303869742952221396411428919090470277784409194942906308942485467262417101206374484598850098173405082307566208430367239701802724193163232103076383651814882876357813433449310509041807622221975726042603396243288069114710590042277036726242179611655189840339500842711907764288592115732529083078378324622544789344201861800568183061449181704139182643800412788393477007642703210001977251465721290799405064900611021150491464947349715009256785994089437386270036638771650470952081688656428886403931942726684337986252371679941164955812084684486798876615257440109546733927399083611125693311925045435464190608531676285190689095360825082490110022815987588975897230488839713034184270366669497787656391835588644404830256246940877245524278097016912247987200760937111607429692215706321580167260049140520217228013451932760626188310206345623400706515983781132927560277101282752351947328312032450634869859916675145214869154888414001682421795366156591043005221511018075991805511983365585581008751737484084040933956229647140178404852448044266268524139280925186030008095355087028909023673723688526408084280352059737728709336242897729998307214599973323479095283920520387666881092550496765173485644681274713667772202689190056239153041442079527782036795789430917696055350313766489346071793843385317398996048256740181443515463309772823694778170012039558597291465036996067409424034685110215528785734089480580741915939159137091353234105754226509242698056827841106447321560248459320554093191383145015356000476059241954227233508329211568054377262141306229545833467440868093680565081800661886323068287025761059975213581510263425232551532714821651746284456257439757655291791901358235933767575656878205481578793068286442028174096113916166398995838762076139827259217846341682182296840207255339962164991890173122022663201971208563748490325118648266450687872606056842106766001472656121625191306269715761425293159240390871286786031435741811951698923187347951953715673311609838616925464345038803231924502660201504283994146018569064950653073156158896352532085286039766418734360703508189876581672596733910841610218148595708034553324456540505622838902458606866141463690551130847380336981855580376031890956285623765937775257624563161729899024795899454801965252421276433322044188420328342174275976410429934906536755736532428558220797720683091934695270074161005871285703598376015789609132951254236895271867202550470226496123506231153665166505073666154372873216440204157287163481585867950890872495773142227416817835311326840039597463697173499060757439209150432231508683439043045811901941845426967466722457628061772413208723365785149576988079893577387824625564566853344293352033989122977629667181217225394242330395108311404656907}
30646 2029424502856936336382653635164484616568694021506453005707805691753615014969021955125991: {91929,428918,612740,735288,796406,827199,1347764,1621429,2719573,3216255,3267673,3430672,3828875,3859506,4097318,4179733,4544053,4594650,4900960,5453593,5513580,5881152,5998453,6616296,7443333,7751318,7809973,9208886,10145588,10693429,10876868,11502968,12582068,12940839,13379929,13558453,13799108,14654246,15339733,16759573,16823318,17644633,17998153,18173828,18416564,18527893,20067206,20289848,20426918,21084548,21517513,22582166,22826079,23091829,23506628,24138133,24660313,24675512,25447766,25529173,25683764,26162726,26396233,27590918,27607093,27625479,27759951,27947606,27977955,28986613,29065268,29158729,29843152,30018229,30512564,31973432,32571446,32756533,32887475,32926118,33573546,34288729,35137429,35815093,35970111,35984329,36212415,36345272,36998233,37672729,37876406,37884903,38346073,38626576,38682313,39464970,39637526,40888431,42028873,42095968,42166328,42289028,43454898,43499318,43525429,43691353,43900955,44145699,44354329,45101075,45161348,46006729,46356788,46526072,46830229,46994713,47073668,47357964,47437119,47487733,48307993,48389126,48506564,49126453,49914915,50653748,50694063,51571033,52083764,52341831,52557926,52681146,53036468,53242576,53253879,54057831,54121290,55653764,55930453,57212053,57371929,57729376,58010713,58329673,59602633,59897898,59920153,60350075,60639668,60712693,61021112,61176326,61345429,61350788,62207943,62256755,62715650,62764873,62889206,62922229,63008948,63202659,63397475,63550933,63707929,64945548,65117653,65963318,66210073,66677173,68229493,68598663,68648751,68682164,69025766,70722086,71133368,71619253,72420090,73616631,73631108,74057075,74518729,74708106,75258780,75277429,75428953,75747764,76076970,76126118,76185493,76789429,76899128,77248096,78331268,78444313,78894133,79035188,79043929,79651671,79941193,80025039,80276032,80388853,80537929,80612555,80686933,81148768,81367503,81665075,81847988,81876373,81915783,82913353,83162966,84093368,84283715,84617871,84829046,85826966,85856713,86295733,86511519,86904108,86995779,87025993,88045333,88868490,89020743,89131955,89805686,90310536,90721959,90957764,91127318,91292364,91369753,91889348,92803273,93802453,94092566,94229593,94421318,94605039,94793056,95931673,96301455,96539588,96735066,96866075,97998090,98164148,98427363,98745433,99661766,...,82900222840511364981241052871065644547941831707748349666742169117256557030743332219081962331583977426085851637468489848514614082658959930439389603308616270520875700663149294861388820193512259453336379253608550701371954709012082906156310320784152407176503865017196619004486170791996953814178973148986844612778605292616012955305775860884700279372992394863630790384694647635009738564703436294085886801410309895011117078489823537103672637921612426579404141935077255027052250744627111394745235791604854317004294858826804440198824488269084676213985477130335519728366206259281816401093859212959920498231487884995382873437063909456511327469755984799287015167118641591676792391416000164394346617856753031475878375114634642697675271525477452438996478366795407451448433981401516677456748287538039781158178526066176162553055905432044058274112982303519503916722248780949766707780356244498833336584730024631666558324739506002048771529092128714485741812267208451908793073476804858530000963949819820463813103160610575857548168309537576130664046838014577521254755071164483889615787423777415815448010045173439661569906643731535951579516754072573257645507305175240181153098152211595042738644190046041725837988667444855109288541148285610786603628687956819410537919695064023945878520340322011077686532386094217191670068282197211023240181879406447835294971792190592862784271747354684883893908307340653471762271506771731041981863786796529203854102263139826700838563926802579661880554680836046657933848816672579925874806598146806911001624540551986520974160412964964611271694692818887211982225753963495675778317604787080836536825029465719364073019445144397586105923883110323256423237036327851662917966471634127988615754941074623616409637092590909709258028830503652374177099540563600975408473393181316587385083177901877359096315633368080453560899229351675495189440969810917253808687681451954462609526647765554183970009468704158703024927412480351469195163470321694262401121035951092105782161912605901639883987749883246756638434734880947670621786404658993038456742868337379649575927361744871141231368523710225363641973899113191194838117983902978845954539931705246980556149349251527619433926454359521237059868185981165285851071826323936295195215238558787293703712545593257208411923313956349889468275165979465133464231206776410088277907156319602403632257550976137435178202419843835143751244599080678722410162962634301390137861657717425486280786723036048968322906148873586453786001123615877019051456154310038777437837766163393052458935815734090910748598908938852243525067217051191302676856937613335969668620961721065873419867481361533988619929799620012342381325452583181693382185028867294602775584875238515205242590302245783981669828906588219941082779579315731835487009920146062311903198778148167591082566727247285587478042235046920918793814433443320146697087983451967862973985119617378912360488892663716875189114118192539773674995921169660699037462689216330649601014582815476572922954275095440223013398854026956304017935910347501584413608460831200942021311708177236747036135043669802596437749376600846493146555566860286492206517885335576562393821542121390673628681357434655740682644487447441345002316645445387911941639529520237873136597392355024698852374566914706677460473449371878698231631584701877445707136079650304945781657196973331076286133297764638793711894027183555841456733995686897980859575032951557029603585586741652204055256106037042715727719241223594740467085021985794762391791180423198661397675653575258020617746363764926370893349386078129721953382661423212565379580146954038380978785974107655887918878849455137645474338968678990264075770454808596428746997945760738790921844193353808000634745655938969644677772282090739169682855074972727777956587824124907420109067549181764091049367681413300284775347017900310068710286428868995045941676586343540389055868477647911690100875837607308771724091048589370898794818554888531994451682768186436345623795122242909729120276340453282886655853564162696884269294944751664653766824864355267583830141409122809021335296874828833588408359621015233724212320521161715714708580989082602265230916463935938287564415479784822567285793385070975899336880268672378658861358092086600870764208211861803376113714719688558312480938010919835442230128978547788813624198127610712737765942054007497118536611475821521951587401507796507115975807440501375854608380831687917033676832750882306532033061199273069287003228368577762725584560437789565701301880573246542049007648709904744294396960910789246260360098881341161714271464501354386145510601672315860362489603400626968661498008308204886888673431554872497164288586938876382884642114490601187829994364189636555757113748435786719463284929564665414343252278867242975344911252057394415869255793902623288963276837415696550944964487713532769317439858103183766167419422471125724469378652163970172889574956300525656440526811081872875876}
30647 2035662996789123268168105339103527082423756086607559885725541699908851189692738828771393: {122572,643377,765925,919110,980384,1102932,1194609,1684705,2021646,3001838,4288340,5146008,5789259,6126200,6145977,6891975,7351440,7841536,8270370,8821728,9924444,10065097,11626977,12681985,13596085,13813329,14378710,14470489,15218382,15727585,16306069,16315302,17248885,17254452,17753617,18873102,19242997,19844473,20698662,21591073,21812809,21981369,22717285,23020705,25234977,25362310,26112758,26355685,26554033,27260742,27549877,27594886,27624846,27894889,27976753,29383285,30100809,30434772,30640377,30844390,31626822,31802113,32104705,32585113,33053737,33798254,33873249,35259942,35932633,36331585,36356053,36833972,36884713,36895537,37013268,37303940,37921237,38140705,38171649,38525646,39244089,39966790,40710313,40811062,41221393,41386377,41921409,42621073,43597902,44764728,45431590,45768846,46587254,46629913,47088337,47960148,48283220,48857169,49389177,49893049,50360319,50513204,51641449,52286449,52418293,52619960,52707910,52861285,53393473,54055333,54315157,54517908,55888753,55971553,56451685,56814609,57939864,57945985,58000982,58157590,58623157,58842085,58860932,58887193,59197455,59456289,59922277,60633205,61755697,62241697,62755862,63143952,63249492,63317185,63433542,65104705,65182347,65248977,66143857,66295585,66391669,66553220,67286737,67491577,67592084,67742022,69535182,69567205,69789108,69964849,70143638,70241528,70610502,71005172,71018197,71036946,72050233,72077108,72161720,72583689,72759846,73581697,73764598,75102337,75799585,75907033,75980622,76276390,76688485,77803214,77922889,78125646,78761185,78795349,78836889,79021719,79368073,79554702,79863864,80225953,81181935,81756662,82943924,83480646,83890633,84270212,84424057,84754022,85852705,86594064,87555313,88916710,89081737,89384293,89846847,89855953,89881358,90959502,91464884,91531668,91764489,91875409,91917958,92026182,92038885,92411014,93640897,93691573,94073475,94333809,94513422,94684705,96123910,96438949,96560120,97418322,97914085,98155508,98793985,98944977,99610808,...,124350334260767047471861579306598466821912747561622524500113253675884835546114998328622943497375966139128777456202734772771921123988439895659084404962924405781313550994723942292083230290268389180004568880412826052057932063518124359234465481176228610764755797525794928506729256187995430721268459723480266919167907938924019432958663791327050419059488592295446185577041971452514607847055154441128830202115464842516675617734735305655508956882418639869106212902615882540578376116940667092117853687407281475506442288240206660298236732403627014320978215695503279592549309388922724601640788819439880747347231827493074310155595864184766991204633977198930522750677962387515188587124000246591519926785129547213817562671951964046512907288216178658494717550193111177172650972102275016185122431307059671737267789099264243829583858148066087411169473455279255875083373171424650061670534366748250004877095036947499837487109259003073157293638193071728612718400812677863189610215207287795001445924729730695719654740915863786322252464306364195996070257021866281882132606746725834423681135666123723172015067760159492354859965597303927369275131108859886468260957762860271729647228317392564107966285069062588756983001167282663932811722428416179905443031935229115806879542596035918817780510483016616529798579141325787505102423295816534860272819109671752942457688285889294176407621032027325840862461010980207643407260157596562972795680194793805781153394709740051257845890203869492820832021254069986900773225008869888812209897220210366502436810827979781461240619447446916907542039228330817973338630945243513667476407180621254805237544198579046109529167716596379158885824665484884634855554491777494376949707451191982923632411611935424614455638886364563887043245755478561265649310845401463112710089771974881077624766852816038644473450052120680341348844027513242784161454716375880713031522177931693914289971648331275955014203056238054537391118720527203792745205482541393601681553926638158673242868908852459825981624824870134957652102321421505932679606988489557685114302506069474363891042617306711847052785565338045462960848669786792257176975854468268931809897557870470834224023877291429150889681539281855589802278971747928776607739485904442792822857838180940555568818389885812617884970934524834202412748969197700196346810164615132416860734479403605448386326464206152767303629765752715626866898621018083615244443951452085206792486576138229421180084554073452484359223310379680679001685423815528577184231465058166156756649245089578688403723601136366122898363408278365287600825576786954015285406420003954502931442581598810129801222042300982929894699430018513571988178874772540073277543300941904163377312857772807863885453368675972504743359882329911624169368973597753230514880219093467854798167222251386623850090870928381217063352570381378190721650164980220045631975177951794460977679426068368540733338995575312783671177288809660512493881754491048556194033824495974401521874223214859384431412643160334520098281040434456026903865521252376620412691246801413031967562265855120554202565504703894656624064901269739719833350290429738309776828003364843590732313182086010443022036151983611023966731171162017503474968168081867912459294280356809704896088532537048278561850372060016190710174057818047347447377052816168560704119475457418672485795459996614429199946646958190567841040775333762185100993530346971289362549427335544405378380112478306082884159055564073591578861835392110700627532978692143587686770634797992096513480362887030926619545647389556340024079117194582930073992134818848069370220431057571468178961161483831878318274182706468211508453018485396113655682212894643120496918641108186382766290030712000952118483908454467016658423136108754524282612459091666934881736187361130163601323772646136574051522119950427163020526850465103065429643303492568912514879515310583583802716471867535151313756410963157586136572884056348192227832332797991677524152279654518435692683364364593680414510679924329983780346244045326403942417127496980650237296532901375745212113684213532002945312243250382612539431522850586318480781742573572062871483623903397846374695903907431346623219677233850928690077606463849005320403008567988292037138129901306146312317792705064170572079532837468721407016379753163345193467821683220436297191416069106648913081011245677804917213732282927381102261694760673963711160752063781912571247531875550515249126323459798049591798909603930504842552866644088376840656684348551952820859869813073511473064857116441595441366183869390540148322011742571407196752031579218265902508473790543734405100940452992247012462307330333010147332308745746432880408314574326963171735901781744991546284454833635670622653680079194927394346998121514878418300864463017366878086091623803883690853934933444915256123544826417446731570299153976159787154775649251129133706688586704067978245955259334362434450788484660790216622809313814}
30648 2041920557316890616126140083177366335453645544907540855643879602188437937389190537067103: {153215,183858,337007,520727,857836,1225480,1378665,1470576,1592812,1654398,2170967,2695528,2719751,3032469,3242858,3328751,3997727,4240751,4502757,4605047,4787087,5360425,5439146,5453951,5514527,6059351,6432510,6535346,6861344,7657750,7719012,7810487,8194636,8359466,8533127,9088106,9189300,9314687,9801920,10907186,11027160,11471951,11762304,11770751,11996906,12405555,13232592,13916207,14094527,14450951,14688407,14886666,15340751,15502636,15619946,16760687,17350967,18058247,18417772,18587951,19762751,20291176,20992847,21386858,21568065,21752567,21753736,22827573,22976951,23005936,23791247,24197807,24472953,24719951,25164136,25588751,25881678,26398007,26759858,26975087,27116906,27598216,28309653,28988567,29308492,30191951,30679466,31047993,31049351,31391807,32986127,33519146,33646636,35289266,35996306,36347656,36381407,36719351,36833128,37000751,37055786,38043465,38180447,38740967,39169137,39859607,40134412,40579696,40853836,40891113,41392329,41437269,41698367,42031751,42169096,42253847,43035026,43196327,44026007,45164332,45652158,45679967,46042465,46183658,46266585,46629925,47013256,47052767,47217167,47440233,48276266,48365951,49184351,49320626,49351024,49783367,50490047,50697381,50895532,51058346,51303767,51367528,51628751,52223807,52325452,52763927,52792466,52889913,54003167,54325751,55181836,55214186,55250958,55519902,55895212,55955910,55987847,56735951,56949407,57269351,57748727,57788469,57973226,58014767,58067951,58130536,58317458,59129951,59659751,59686304,59924351,59950185,60036458,60241607,60354025,60769727,61025128,61216593,61461337,63141505,63555407,63607751,63946864,65122247,65142892,65396853,65513066,65774950,65852236,66214751,66266687,66526247,67044767,67147092,68147385,68577458,68653269,68750207,69007847,69522527,69880881,70274858,71368751,71624351,71630186,71675447,71940222,71968658,72389951,72424830,72690544,72695687,73357127,73458767,73576165,73996466,74118647,75131207,75345458,75636287,75752812,75769806,76190951,76241327,76692146,77253152,77364626,77899247,77999447,78929940,79061865,79275052,79398887,80394647,80692751,81776862,81882287,82968647,83191525,83854607,84057746,84191936,84332656,84490105,84578056,84590927,85618751,85862951,85911767,86909796,86998636,87001473,87032327,87050858,87080951,87159457,87236385,87382706,87615287,87801910,88245527,88291398,88342367,88708658,88756465,89067647,90096385,90202150,90322696,90704951,91950767,92013458,92380751,92713576,92810087,93052144,93660458,93989426,93999287,94133793,94147336,94283951,94715928,94874238,94975466,95150313,95938751,95985887,96362687,96615986,96691967,96778252,96926927,97013128,97771127,98098727,98239007,98252906,99637847,99730847,99829830,...,186525501391150571207792368959897700232869121342433786750169880513827253319172497492934415246063949208693166184304102159157881685982659843488626607444386608671970326492085913438124845435402583770006853320619239078086898095277186538851698221764342916147133696288692392760093884281993146081902689585220400378751861908386029149437995686990575628589232888443169278365562957178771911770582731661693245303173197263775013426602102958483263435323627959803659319353923823810867564175411000638176780531110922213259663432360309990447355098605440521481467323543254919388823964083384086902461183229159821121020847741239611465233393796277150486806950965798395784126016943581272782880686000369887279890177694320820726344007927946069769360932324267987742076325289666765758976458153412524277683646960589507605901683648896365744375787222099131116754210182918883812625059757136975092505801550122375007315642555421249756230663888504609735940457289607592919077601219016794784415322810931692502168887094596043579482111373795679483378696459546293994105385532799422823198910120088751635521703499185584758022601640239238532289948395955891053912696663289829702391436644290407594470842476088846161949427603593883135474501750923995899217583642624269858164547902843673710319313894053878226670765724524924794697868711988681257653634943724802290409228664507629413686532428833941264611431548040988761293691516470311465110890236394844459193520292190708671730092064610076886768835305804239231248031881104980351159837513304833218314845830315549753655216241969672191860929171170375361313058842496226960007946417865270501214610770931882207856316297868569164293751574894568738328736998227326952283331737666241565424561176787974385448617417903136921683458329546845830564868633217841898473966268102194669065134657962321616437150279224057966710175078181020512023266041269864176242182074563821069547283266897540871434957472496913932521304584357081806086678080790805689117808223812090402522330889957238009864303363278689738972437237305202436478153482132258899019410482734336527671453759104211545836563925960067770579178348007068194441273004680188385765463781702403397714846336805706251336035815937143726334522308922783384703418457621893164911609228856664189234286757271410833353227584828718926827456401787251303619123453796550294520215246922698625291101719105408172579489696309229150955444648629073440300347931527125422866665927178127810188729864207344131770126831110178726538834965569521018502528135723292865776347197587249235134973867634368032605585401704549184347545112417547931401238365180431022928109630005931754397163872398215194701833063451474394842049145027770357982268312158810109916314951412856245065969286659211795828180053013958757115039823494867436254053460396629845772320328640201782197250833377079935775136306392571825595028855572067286082475247470330068447962766927691691466519139102552811100008493362969175506765933214490768740822631736572834291050736743961602282811334822289076647118964740501780147421560651684040355798281878564930619036870202119547951343398782680831303848257055841984936097351904609579750025435644607464665242005047265386098469773129015664533054227975416535950096756743026255212452252122801868688941420535214557344132798805572417842775558090024286065261086727071021171065579224252841056179213186128008728693189994921643799919970437285851761561163000643277651490295520456934043824141003316608067570168717459124326238583346110387368292753088166050941299468038215381530155952196988144770220544330546389929318471084334510036118675791874395110988202228272104055330646586357202268441742225747817477411274059702317262679527728094170483523319341964680745377961662279574149435046068001428177725862681700524987634704163131786423918688637500402322604281041695245401985658969204861077283179925640744530790275697654598144464955238853368772319272965875375704074707801302726970634616444736379204859326084522288341748499196987516286228419481777653539025046546890520621766019886494975670519366067989605913625691245470975355944799352063617818170526320298004417968364875573918809147284275879477721172613860358094307225435855096769562043855861147019934829515850776393035116409695773507980604512851982438055707194851959219468476689057596255858119299256203082110524569629745017790201732524830654445787124103659973369621516868516707375820598424391071653392542141010945566741128095672868856871297813325772873689485189697074387698364405895757263829299966132565260985026522827929231289804719610267209597285674662393162049275804085810222483017613857110795128047368827398853762710685815601607651410679488370518693460995499515220998463118619649320612471861490444757603852672617487319426682250453505933980520118792391091520497182272317627451296694526050317129137435705825536280902400167372884185317239626170097355448730964239680732163473876693700560032880056101967368932889001543651676182726991185324934213970721}
30649 2048197242376582124088801390091641310564359645088505106297003931313109744072496143325404: {30649,245144,275787,1072295,1286754,1531850,1838220,1960768,1991015,2205864,2358587,2389218,2481597,3369410,4043292,4864287,6003676,8158719,8576680,9648765,9803019,10243295,10292016,11486625,11578518,12252400,12291954,12539199,13632159,13783950,14702880,15683072,16360779,16540740,17101487,17643456,17754779,17995359,19034519,19378295,19848888,20130194,20517167,21506879,22018619,22329999,23022215,23253954,23429919,23452559,24148439,25363970,26555771,27192170,27626658,28757420,28940978,30436764,30791039,31382039,31455170,31804199,32080287,32228987,32612138,32630604,32966687,34497770,34508904,35507234,36604271,36635615,36897959,37746204,37923719,38129519,38485994,38509679,38822517,38863367,39688946,40139787,40675359,41032679,41136599,41224091,41397324,42058295,42382559,42465839,43182146,43625618,43962738,44946587,45434570,46019199,46041410,47091419,50168015,50278719,50370359,50469954,50724620,50864219,51067295,51298487,52225516,52711370,52933899,53108066,53396987,53456279,53994459,54058871,54521484,55099754,55108079,55189772,55249692,55583679,55789778,55892411,55953506,56455415,57783287,58585151,58766570,59364479,59926199,60201618,60869544,61280754,61688780,61759739,63253644,63604226,63619415,64209410,64552539,65170226,65406815,65519999,66107474,66148199,66697199,67596508,67746498,68110199,68478237,68977295,69275487,69630287,69869015,70519884,70621067,71865266,72054959,72414399,72663170,72712106,73667944,73769426,73791074,73980939,74005799,74026536,74607880,74790011,75842474,76281410,76343298,76506119,76587519,77051292,78488178,79032359,79188699,79373279,79933580,80526731,81124379,81420626,81428615,81622124,82315295,82378919,82442786,82485839,82772754,82821279,82876437,83279853,83842818,83933865,84229511,84429599,84886487,85242146,86959839,87195804,87476187,87982859,88644059,89529456,90054687,90524027,90863180,91146587,91154279,91537692,92090687,92813819,93174508,93259826,93754559,94176674,94356299,94691015,95548727,95920296,96566440,97394087,97714338,98269599,98662425,98778354,98883431,99093815,99786098,...,248700668521534094943723158613196933643825495123245049000226507351769671092229996657245886994751932278257554912405469545543842247976879791318168809925848811562627101989447884584166460580536778360009137760825652104115864127036248718468930962352457221529511595051589857013458512375990861442536919446960533838335815877848038865917327582654100838118977184590892371154083942905029215694110308882257660404230929685033351235469470611311017913764837279738212425805231765081156752233881334184235707374814562951012884576480413320596473464807254028641956431391006559185098618777845449203281577638879761494694463654986148620311191728369533982409267954397861045501355924775030377174248000493183039853570259094427635125343903928093025814576432357316989435100386222354345301944204550032370244862614119343474535578198528487659167716296132174822338946910558511750166746342849300123341068733496500009754190073894999674974218518006146314587276386143457225436801625355726379220430414575590002891849459461391439309481831727572644504928612728391992140514043732563764265213493451668847362271332247446344030135520318984709719931194607854738550262217719772936521915525720543459294456634785128215932570138125177513966002334565327865623444856832359810886063870458231613759085192071837635561020966033233059597158282651575010204846591633069720545638219343505884915376571778588352815242064054651681724922021960415286814520315193125945591360389587611562306789419480102515691780407738985641664042508139973801546450017739777624419794440420733004873621655959562922481238894893833815084078456661635946677261890487027334952814361242509610475088397158092219058335433192758317771649330969769269711108983554988753899414902383965847264823223870849228911277772729127774086491510957122531298621690802926225420179543949762155249533705632077288946900104241360682697688055026485568322909432751761426063044355863387828579943296662551910028406112476109074782237441054407585490410965082787203363107853276317346485737817704919651963249649740269915304204642843011865359213976979115370228605012138948727782085234613423694105571130676090925921697339573584514353951708936537863619795115740941668448047754582858301779363078563711179604557943495857553215478971808885585645715676361881111137636779771625235769941869049668404825497938395400392693620329230264833721468958807210896772652928412305534607259531505431253733797242036167230488887902904170413584973152276458842360169108146904968718446620759361358003370847631057154368462930116332313513298490179157376807447202272732245796726816556730575201651153573908030570812840007909005862885163197620259602444084601965859789398860037027143976357749545080146555086601883808326754625715545615727770906737351945009486719764659823248338737947195506461029760438186935709596334444502773247700181741856762434126705140762756381443300329960440091263950355903588921955358852136737081466677991150625567342354577619321024987763508982097112388067648991948803043748446429718768862825286320669040196562080868912053807731042504753240825382493602826063935124531710241108405131009407789313248129802539479439666700580859476619553656006729687181464626364172020886044072303967222047933462342324035006949936336163735824918588560713619409792177065074096557123700744120032381420348115636094694894754105632337121408238950914837344971590919993228858399893293916381135682081550667524370201987060693942578725098854671088810756760224956612165768318111128147183157723670784221401255065957384287175373541269595984193026960725774061853239091294779112680048158234389165860147984269637696138740440862115142936357922322967663756636548365412936423016906036970792227311364425789286240993837282216372765532580061424001904236967816908934033316846272217509048565224918183333869763472374722260327202647545292273148103044239900854326041053700930206130859286606985137825029759030621167167605432943735070302627512821926315172273145768112696384455664665595983355048304559309036871385366728729187360829021359848659967560692488090652807884834254993961300474593065802751490424227368427064005890624486500765225078863045701172636961563485147144125742967247806795692749391807814862693246439354467701857380155212927698010640806017135976584074276259802612292624635585410128341144159065674937442814032759506326690386935643366440872594382832138213297826162022491355609834427464565854762204523389521347927422321504127563825142495063751101030498252646919596099183597819207861009685105733288176753681313368697103905641719739626147022946129714232883190882732367738781080296644023485142814393504063158436531805016947581087468810201880905984494024924614660666020294664617491492865760816629148653926343471803563489983092568909667271341245307360158389854788693996243029756836601728926034733756172183247607767381707869866889830512247089652834893463140598307952319574309551298502258267413377173408135956491910518668724868901576969321580433245618627628}
30650 2054493110079571178301287293225476430324605649694206273940014705888380775452235802050165: {214501,306430,367716,398281,581989,674014,1041454,1715672,1930131,2232121,2297775,2450960,2757330,2941152,2963641,3185624,3308796,3583827,4341934,4787401,5054115,5391056,5439502,5514889,6064938,6485716,6657502,6785221,7504595,7995454,8481502,8593861,9005514,9210094,9574174,10035589,10215481,10720850,10878292,10907902,11029054,11472709,12010441,12118702,12368569,12865020,13070692,13262629,13722688,13976581,15315500,15438024,15620974,16288969,16389272,16466341,16718932,17066254,17367777,18176212,18378600,18437931,18629374,19603840,19822729,20675925,20701669,21814372,21929161,22054320,22943902,22978489,23502181,23524608,23541502,23993812,24811110,26465184,27832414,28189054,28703461,28901902,29376814,29773332,29907769,30195291,30251209,30681502,30765829,31005272,31108549,31239892,31450981,31622089,33158821,33521374,34701934,34880931,35707081,35946775,36116494,36721849,36835544,37175902,38045955,38239141,39525502,40420489,40582352,40788255,40922149,41439987,41756809,41985694,42589669,42773716,42922309,43136130,43254661,43411467,43505134,43507472,45077449,45655146,45953902,46011872,47182755,47220421,47582494,48395614,48918207,48945906,49439902,49841221,50328272,50330569,51177502,51469861,51746655,51763356,52796014,53260851,53519716,53576329,53950174,54060709,54233812,55196432,56619306,56953381,57113401,57728991,57977134,58072009,58616984,58709641,59533419,60298681,60383902,60932281,61358932,62095986,62098702,62668741,62783614,63140809,63405775,63612229,64459451,64773219,65281895,65438427,65944107,65972254,66271369,67038292,67049509,67293272,68151855,68987215,69062115,69527461,70578532,71373829,71680549,71992612,72695312,72751801,72762814,73438702,73666256,74001502,74111572,75035461,75187129,75641701,75704931,76086930,76246789,76360894,76699849,77110975,77152261,77481934,78055141,78338274,78805561,79067055,79254949,79404601,79662099,79719214,80151781,80268824,80897161,81159392,81707672,81782226,81789241,82649631,82784658,82874538,83396734,83417989,83684667,83930259,84063502,84338192,84495635,84507694,84597061,85624969,85918009,86070052,86392654,86941381,87087289,88052014,88149855,88398107,89122441,90302427,90328664,90567481,91304316,91359934,91921131,92005321,92084930,92367316,92435269,92533170,93259850,94026512,94105534,94434334,94880466,95406339,95992969,96134341,96314115,96416869,96552532,96731902,96981061,97544101,97755339,98368702,98641252,98702048,99161211,99505669,99566734,99645241,99916975,...,373051002782301142415584737919795400465738242684867573500339761027654506638344994985868830492127898417386332368608204318315763371965319686977253214888773217343940652984171826876249690870805167540013706641238478156173796190554373077703396443528685832294267392577384785520187768563986292163805379170440800757503723816772058298875991373981151257178465776886338556731125914357543823541165463323386490606346394527550026853204205916966526870647255919607318638707847647621735128350822001276353561062221844426519326864720619980894710197210881042962934647086509838777647928166768173804922366458319642242041695482479222930466787592554300973613901931596791568252033887162545565761372000739774559780355388641641452688015855892139538721864648535975484152650579333531517952916306825048555367293921179015211803367297792731488751574444198262233508420365837767625250119514273950185011603100244750014631285110842499512461327777009219471880914579215185838155202438033589568830645621863385004337774189192087158964222747591358966757392919092587988210771065598845646397820240177503271043406998371169516045203280478477064579896791911782107825393326579659404782873288580815188941684952177692323898855207187766270949003501847991798435167285248539716329095805687347420638627788107756453341531449049849589395737423977362515307269887449604580818457329015258827373064857667882529222863096081977522587383032940622930221780472789688918387040584381417343460184129220153773537670611608478462496063762209960702319675026609666436629691660631099507310432483939344383721858342340750722626117684992453920015892835730541002429221541863764415712632595737138328587503149789137476657473996454653904566663475332483130849122353575948770897234835806273843366916659093691661129737266435683796947932536204389338130269315924643232874300558448115933420350156362041024046532082539728352484364149127642139094566533795081742869914944993827865042609168714163612173356161581611378235616447624180805044661779914476019728606726557379477944874474610404872956306964264517798038820965468673055342907518208423091673127851920135541158356696014136388882546009360376771530927563404806795429692673611412502672071631874287452669044617845566769406836915243786329823218457713328378468573514542821666706455169657437853654912803574502607238246907593100589040430493845397250582203438210816345158979392618458301910889297258146880600695863054250845733331854356255620377459728414688263540253662220357453077669931139042037005056271446585731552694395174498470269947735268736065211170803409098368695090224835095862802476730360862045856219260011863508794327744796430389403666126902948789684098290055540715964536624317620219832629902825712490131938573318423591656360106027917514230079646989734872508106920793259691544640657280403564394501666754159871550272612785143651190057711144134572164950494940660136895925533855383382933038278205105622200016986725938351013531866428981537481645263473145668582101473487923204565622669644578153294237929481003560294843121303368080711596563757129861238073740404239095902686797565361662607696514111683969872194703809219159500050871289214929330484010094530772196939546258031329066108455950833071900193513486052510424904504245603737377882841070429114688265597611144835685551116180048572130522173454142042342131158448505682112358426372256017457386379989843287599839940874571703523122326001286555302980591040913868087648282006633216135140337434918248652477166692220774736585506176332101882598936076430763060311904393976289540441088661092779858636942168669020072237351583748790221976404456544208110661293172714404536883484451495634954822548119404634525359055456188340967046638683929361490755923324559148298870092136002856355451725363401049975269408326263572847837377275000804645208562083390490803971317938409722154566359851281489061580551395309196288929910477706737544638545931750751408149415602605453941269232889472758409718652169044576683496998393975032572456838963555307078050093093781041243532039772989951341038732135979211827251382490941950711889598704127235636341052640596008835936729751147837618294568551758955442345227720716188614450871710193539124087711722294039869659031701552786070232819391547015961209025703964876111414389703918438936953378115192511716238598512406164221049139259490035580403465049661308891574248207319946739243033737033414751641196848782143306785084282021891133482256191345737713742595626651545747378970379394148775396728811791514527658599932265130521970053045655858462579609439220534419194571349324786324098551608171620444966035227714221590256094737654797707525421371631203215302821358976741037386921990999030441996926237239298641224943722980889515207705345234974638853364500907011867961040237584782183040994364544635254902593389052100634258274871411651072561804800334745768370634479252340194710897461928479361464326947753387401120065760112203934737865778003087303352365453982370649868427941442}
30651 2060808218712786525424967143973787133538524332104566354125222621984793732740343666181326: {61298,459645,490288,551574,1011021,1501213,1562181,2144590,2573508,2787421,3063700,3676440,3921536,3982030,4135995,4411728,4717174,4778436,4963194,6512901,6738820,8086584,8107145,8159253,9097407,9728574,9986253,11993181,12007352,12722253,13508271,13597865,13815141,14340613,14361261,15816581,16081275,16317438,16338365,16361853,16543581,17153360,18178053,19144375,19297530,19606038,20486590,20584032,20898665,21323321,22720265,22973250,23157036,23431461,24247561,24504800,24583908,25078398,25599381,25728713,27129613,27264318,27267965,27567900,27898541,27944061,29405760,29992265,31366144,31384093,32231101,32721558,33081480,33928829,34202974,34415853,35286912,35312253,35509558,35990718,37216665,38069038,38756590,39049865,39697776,40260388,40759141,41034334,41748621,41859913,42283581,42385333,43013758,43259593,43352853,43963469,44037238,44065221,44659998,45860053,46022253,46044430,46507908,46859838,46905118,48296878,49899581,49974749,50282061,50727940,51289861,52052901,53111542,53467145,54174741,54384340,55253316,55763853,57514840,57787069,57881956,57978701,58881613,59288253,59745253,60873528,61582078,62513333,62764078,62910340,62978541,63458581,63608398,63973349,64160574,64457974,64704195,65224276,65257701,65261208,65933374,66400361,66899645,67500413,67792265,68482719,68930853,68958121,68995540,69017808,70235221,71014468,71027513,71373741,71494213,72593421,73208542,73271230,73418859,73507373,73795918,74159853,75492408,75847438,76259038,76698665,76766253,76971988,77019358,77645034,77726734,79037581,79194021,79377892,80279574,80532013,80925261,81350718,82065358,82273198,82448182,82794648,83461261,83797865,83904029,84116590,84765118,84928959,84931678,86364292,86495813,86965701,87251236,87925476,88223165,88899029,89067181,89893174,89990765,90575853,90869140,91569541,91887461,92038398,92082820,92639465,93143979,93148053,94175421,94182838,94362493,95495453,96077141,96568213,97440781,97808381,97816621,98958381,99977993,...,559576504173451713623377106879693100698607364027301360250509641541481759957517492478803245738191847626079498552912306477473645057947979530465879822333159826015910979476257740314374536306207751310020559961857717234260694285831559616555094665293028748441401088866077178280281652845979438245708068755661201136255585725158087448313987060971726885767698665329507835096688871536315735311748194985079735909519591791325040279806308875449790305970883879410977958061771471432602692526233001914530341593332766639778990297080929971342065295816321564444401970629764758166471892250152260707383549687479463363062543223718834395700181388831451460420852897395187352378050830743818348642058001109661839670533082962462179032023783838209308082796972803963226228975869000297276929374460237572833050940881768522817705050946689097233127361666297393350262630548756651437875179271410925277517404650367125021946927666263749268691991665513829207821371868822778757232803657050384353245968432795077506506661283788130738446334121387038450136089378638881982316156598398268469596730360266254906565110497556754274067804920717715596869845187867673161738089989869489107174309932871222783412527428266538485848282810781649406423505252771987697652750927872809574493643708531021130957941682161634680012297173574774384093606135966043772960904831174406871227685993522888241059597286501823793834294644122966283881074549410934395332670709184533377580560876572126015190276193830230660306505917412717693744095643314941053479512539914499654944537490946649260965648725909016575582787513511126083939176527488680880023839253595811503643832312795646623568948893605707492881254724683706214986210994681980856849995212998724696273683530363923156345852253709410765050374988640537491694605899653525695421898804306584007195403973886964849311450837672173900130525234543061536069798123809592528726546223691463208641849800692622614304872417490741797563913753071245418260034242372417067353424671436271207566992669871714029592910089836069216917311711915607309434460446396776697058231448203009583014361277312634637509691777880203311737535044021204583323819014040565157296391345107210193144539010417118754008107447811431179003566926768350154110255372865679494734827686569992567702860271814232500059682754486156780482369205361753910857370361389650883560645740768095875873305157316224517738469088927687452866333945887220320901043794581376268599997781534383430566189592622032395310380493330536179616504896708563055507584407169878597329041592761747705404921602903104097816756205113647553042635337252643794203715095541293068784328890017795263191491617194645584105499190354423184526147435083311073946804936476430329748944854238568735197907859977635387484540159041876271345119470484602308762160381189889537316960985920605346591752500131239807325408919177715476785086566716201858247425742410990205343888300783075074399557417307658433300025480088907526520297799643472306222467895209718502873152210231884806848434004466867229941356894221505340442264681955052121067394845635694791857110610606358643854030196348042493911544771167525954808292055713828739250076306933822393995726015141796158295409319387046993599162683926249607850290270229078765637356756368405606066824261605643672032398396416717253528326674270072858195783260181213063513196737672758523168537639558384026186079569984764931399759911311857555284683489001929832954470886561370802131472423009949824202710506152377372978715750038331162104878259264498152823898404114646144590467856590964434310661632991639169787955413253003530108356027375623185332964606684816312165991939759071606805325226677243452432233822179106951788038583184282511450569958025894042236133884986838722448305138204004284533177588045101574962904112489395359271756065912501206967812843125085736205956976907614583231849539776922233592370827092963794433394865716560106316957818897626127112224123403908180911903849334209137614577978253566865025245497590962548858685258445332960617075139640671561865298059659484927011558098203968817740877073736412926067834398056190853454511578960894013253905094626721756427441852827638433163517841581074282921676307565290308686131567583441059804488547552329179105349229087320523941813538555947314167121584555877658405430067172788767574357897768609246331573708889235053370605197574491963337361372310979920108864550605550122127461795273173214960177626423032836700223384287018606570613893439977318621068455569091223163095093217687271791487899898397695782955079568483787693869414158830801628791857023987179486147827412257430667449052841571332385384142106482196561288132057446804822954232038465111556080382986498545662995389355858947961837415584471334272811558017852461958280046751360517801941560356377173274561491546816952882353890083578150951387412307117476608842707200502118652555951718878510292066346192892719042196490421630081101680098640168305902106798667004630955028548180973555974802641912163}
30652 2067142626739239560444114488808714678340924417839865873506795260486572372101045952811811: {91947,429002,612860,735432,796562,827361,1163978,1348028,1804987,2082908,3216885,3431344,3450907,3829625,3860262,4464242,4595550,4901920,5514660,5882304,5927282,5973045,6371248,6617592,7075761,7167654,7444791,7992307,8423525,8683868,9436051,9574802,10108230,10506433,10782112,10875187,10879004,11029778,11593027,12129876,12971432,13315004,13561147,13570442,14592861,14809051,15009190,15990908,16940107,16963004,17187722,17824987,18011028,18420188,19148348,19237051,20071178,20430962,21441700,21756584,21815804,22058108,22945418,23096467,24020882,24237404,24476157,24737138,25707907,25730040,26141384,26525258,27094051,27445376,27612667,27953162,28946295,29164627,29409057,30196027,30631000,30729885,30876048,31241948,32577938,32778544,32932682,33437864,33955651,34132508,34459875,34735554,35991667,36160867,36352424,36757200,36875862,37258748,37617597,37848907,38690227,39207680,39645458,40896477,41203387,41351850,41403338,42370651,43628744,43700347,43858322,44108640,44363467,45887804,45956978,47004362,47004427,47049216,47083004,47987624,49082337,49622220,50325485,51304461,52930368,53264337,53986077,54655651,55664828,55942147,56378108,57103557,57383947,57406922,57803804,58134885,58753628,59456251,59546664,59815538,60250051,60390582,60502418,61358347,61363004,61531658,61551501,62010544,62217098,62479784,62901962,62935507,63244178,63409925,63721387,64520637,66055857,66068227,66317642,66989997,67042748,67980425,68398867,68863051,69066645,69403868,69761862,70289757,70357677,71414162,71481187,71893550,72232988,72352445,72445317,73443698,73469251,73671088,73774027,74351804,75445147,75748051,76091910,76478282,78010651,78637925,79051004,79060987,79510051,79667313,79958467,80555347,80704387,80840978,81164704,81530345,81576510,81844298,82042507,82879974,82931347,83513618,83965051,83971388,85179338,85547432,85844618,86244425,86272260,86509322,86822934,87010268,87014944,87919147,88355251,88768085,90154898,90814267,91310292,91394653,91907804,91964251,92023744,92373117,92966707,94108051,94146117,94365510,94440842,95164988,95412597,96214985,96240861,96582101,96686961,96791228,97222987,97836414,97891812,98767387,98879804,98900061,99047251,99222365,99682442,99745651,...,746102005564602284831169475839590800931476485369735147000679522055309013276689989971737660984255796834772664737216408636631526743930639373954506429777546434687881305968343653752499381741610335080027413282476956312347592381108746155406792887057371664588534785154769571040375537127972584327610758340881601515007447633544116597751982747962302514356931553772677113462251828715087647082330926646772981212692789055100053706408411833933053741294511839214637277415695295243470256701644002552707122124443688853038653729441239961789420394421762085925869294173019677555295856333536347609844732916639284484083390964958445860933575185108601947227803863193583136504067774325091131522744001479549119560710777283282905376031711784279077443729297071950968305301158667063035905832613650097110734587842358030423606734595585462977503148888396524467016840731675535250500239028547900370023206200489500029262570221684999024922655554018438943761829158430371676310404876067179137661291243726770008675548378384174317928445495182717933514785838185175976421542131197691292795640480355006542086813996742339032090406560956954129159793583823564215650786653159318809565746577161630377883369904355384647797710414375532541898007003695983596870334570497079432658191611374694841277255576215512906683062898099699178791474847954725030614539774899209161636914658030517654746129715335765058445726192163955045174766065881245860443560945579377836774081168762834686920368258440307547075341223216956924992127524419921404639350053219332873259383321262199014620864967878688767443716684681501445252235369984907840031785671461082004858443083727528831425265191474276657175006299578274953314947992909307809133326950664966261698244707151897541794469671612547686733833318187383322259474532871367593895865072408778676260538631849286465748601116896231866840700312724082048093064165079456704968728298255284278189133067590163485739829889987655730085218337428327224346712323163222756471232895248361610089323559828952039457213453114758955889748949220809745912613928529035596077641930937346110685815036416846183346255703840271082316713392028272777765092018720753543061855126809613590859385347222825005344143263748574905338089235691133538813673830487572659646436915426656756937147029085643333412910339314875707309825607149005214476493815186201178080860987690794501164406876421632690317958785236916603821778594516293761201391726108501691466663708712511240754919456829376527080507324440714906155339862278084074010112542893171463105388790348996940539895470537472130422341606818196737390180449670191725604953460721724091712438520023727017588655489592860778807332253805897579368196580111081431929073248635240439665259805651424980263877146636847183312720212055835028460159293979469745016213841586519383089281314560807128789003333508319743100545225570287302380115422288269144329900989881320273791851067710766765866076556410211244400033973451876702027063732857963074963290526946291337164202946975846409131245339289156306588475858962007120589686242606736161423193127514259722476147480808478191805373595130723325215393028223367939744389407618438319000101742578429858660968020189061544393879092516062658132216911901666143800387026972105020849809008491207474755765682140858229376531195222289671371102232360097144261044346908284084684262316897011364224716852744512034914772759979686575199679881749143407046244652002573110605961182081827736175296564013266432270280674869836497304954333384441549473171012352664203765197872152861526120623808787952579080882177322185559717273884337338040144474703167497580443952808913088416221322586345428809073766968902991269909645096238809269050718110912376681934093277367858722981511846649118296597740184272005712710903450726802099950538816652527145695674754550001609290417124166780981607942635876819444309132719702562978123161102790618392577859820955413475089277091863501502816298831205210907882538465778945516819437304338089153366993996787950065144913677927110614156100186187562082487064079545979902682077464271958423654502764981883901423779197408254471272682105281192017671873459502295675236589137103517910884690455441432377228901743420387078248175423444588079739318063403105572140465638783094031922418051407929752222828779407836877873906756230385023432477197024812328442098278518980071160806930099322617783148496414639893478486067474066829503282393697564286613570168564043782266964512382691475427485191253303091494757940758788297550793457623583029055317199864530261043940106091311716925159218878441068838389142698649572648197103216343240889932070455428443180512189475309595415050842743262406430605642717953482074773843981998060883993852474478597282449887445961779030415410690469949277706729001814023735922080475169564366081988729089270509805186778104201268516549742823302145123609600669491536741268958504680389421794923856958722928653895506774802240131520224407869475731556006174606704730907964741299736855882884}
30653 2073496392798553189137262416410034511002609678343392217912609038876582983703186456128175: {122596,643503,766075,919290,980576,1103148,1194843,1685035,1745967,2022042,2603635,3002426,3124362,3706351,4289180,5147016,5574842,5790393,6127400,6696363,6893325,7352880,7843072,7964060,8271990,8823456,8890923,9434348,9556872,9926388,10751481,10854835,11350003,13025802,13477640,13598755,14362203,15162345,16173168,16214290,16318506,16544667,16643755,18194814,18692323,19037011,19457148,19972506,19988635,20355663,21203755,22363483,22513785,22873711,23025235,23831947,23935435,23986362,24014704,25444506,25781583,26034643,26802125,27016542,27195730,27269755,27503107,27572635,27630282,27900367,28681226,28722522,29258131,29911387,30106767,30296755,30646443,30668731,31633162,31808371,32162550,32634876,32676730,32723706,32971003,33087162,34306720,34418127,34600687,36031323,36356106,37105707,37273363,37947547,38175151,38288750,38595060,39052435,39212076,39787887,40097707,40973180,41038051,41168064,41676451,41797330,41929743,41989171,42646642,42665635,43110283,45440530,45946500,46314072,46573435,46862922,48495122,48866907,49009600,49167816,49399023,49902847,49978027,50156796,50358811,50645551,51198762,51305203,51457426,51956827,52103331,54259226,54528636,54535930,54669811,55135800,55313793,55532251,55797082,55888122,57359755,57982507,58811520,58853755,59061067,59372251,59468187,59984530,62027775,62105007,62732288,62768186,62908627,64462202,64643227,65443116,65787483,65868931,66162960,66404707,66705931,67504831,67857658,68405948,68520283,68831706,68935467,69581035,69639403,70472635,70506543,70573824,70624506,70630351,70918867,71019116,71981436,72064411,72254755,73442035,73907707,74433330,74854003,75604867,76107523,76138076,76703755,77513180,78099730,78576847,79313683,79383691,79395552,79929487,80520776,81518282,82068668,83497242,83719826,83803435,83909551,84567162,84770666,86027516,86110383,86501491,86519186,86705706,86754835,87926938,88074476,88130442,89319996,89723307,90291235,90585873,90753627,91403227,91720106,92044506,92088860,92297487,92939755,93015816,93235567,93325647,93659503,93719676,93810236,94352943,94694251,94866267,94909171,96083443,96167311,96593756,96671791,97479727,98732587,98813755,99159307,99476463,99799162,99949498,...,1119153008346903427246754213759386201397214728054602720501019283082963519915034984957606491476383695252158997105824612954947290115895959060931759644666319652031821958952515480628749072612415502620041119923715434468521388571663119233110189330586057496882802177732154356560563305691958876491416137511322402272511171450316174896627974121943453771535397330659015670193377743072631470623496389970159471819039183582650080559612617750899580611941767758821955916123542942865205385052466003829060683186665533279557980594161859942684130591632643128888803941259529516332943784500304521414767099374958926726125086447437668791400362777662902920841705794790374704756101661487636697284116002219323679341066165924924358064047567676418616165593945607926452457951738000594553858748920475145666101881763537045635410101893378194466254723332594786700525261097513302875750358542821850555034809300734250043893855332527498537383983331027658415642743737645557514465607314100768706491936865590155013013322567576261476892668242774076900272178757277763964632313196796536939193460720532509813130220995113508548135609841435431193739690375735346323476179979738978214348619865742445566825054856533076971696565621563298812847010505543975395305501855745619148987287417062042261915883364323269360024594347149548768187212271932087545921809662348813742455371987045776482119194573003647587668589288245932567762149098821868790665341418369066755161121753144252030380552387660461320613011834825435387488191286629882106959025079828999309889074981893298521931297451818033151165575027022252167878353054977361760047678507191623007287664625591293247137897787211414985762509449367412429972421989363961713699990425997449392547367060727846312691704507418821530100749977281074983389211799307051390843797608613168014390807947773929698622901675344347800261050469086123072139596247619185057453092447382926417283699601385245228609744834981483595127827506142490836520068484744834134706849342872542415133985339743428059185820179672138433834623423831214618868920892793553394116462896406019166028722554625269275019383555760406623475070088042409166647638028081130314592782690214420386289078020834237508016214895622862358007133853536700308220510745731358989469655373139985135405720543628465000119365508972313560964738410723507821714740722779301767121291481536191751746610314632449035476938177855374905732667891774440641802087589162752537199995563068766861132379185244064790620760986661072359233009793417126111015168814339757194658083185523495410809843205806208195633512410227295106085270674505287588407430191082586137568657780035590526382983234389291168210998380708846369052294870166622147893609872952860659497889708477137470395815719955270774969080318083752542690238940969204617524320762379779074633921971841210693183505000262479614650817838355430953570173133432403716494851484821980410687776601566150148799114834615316866600050960177815053040595599286944612444935790419437005746304420463769613696868008933734459882713788443010680884529363910104242134789691271389583714221221212717287708060392696084987823089542335051909616584111427657478500152613867644787991452030283592316590818638774093987198325367852499215700580540458157531274713512736811212133648523211287344064796792833434507056653348540145716391566520362426127026393475345517046337075279116768052372159139969529862799519822623715110569366978003859665908941773122741604262944846019899648405421012304754745957431500076662324209756518528996305647796808229292289180935713181928868621323265983278339575910826506007060216712054751246370665929213369632624331983879518143213610650453354486904864467644358213903576077166368565022901139916051788084472267769973677444896610276408008569066355176090203149925808224978790718543512131825002413935625686250171472411913953815229166463699079553844467184741654185927588866789731433120212633915637795252254224448246807816361823807698668418275229155956507133730050490995181925097717370516890665921234150279281343123730596119318969854023116196407937635481754147472825852135668796112381706909023157921788026507810189253443512854883705655276866327035683162148565843352615130580617372263135166882119608977095104658358210698458174641047883627077111894628334243169111755316810860134345577535148715795537218492663147417778470106741210395148983926674722744621959840217729101211100244254923590546346429920355252846065673400446768574037213141227786879954637242136911138182446326190186435374543582975799796795391565910159136967575387738828317661603257583714047974358972295654824514861334898105683142664770768284212964393122576264114893609645908464076930223112160765972997091325990778711717895923674831168942668545623116035704923916560093502721035603883120712754346549122983093633905764707780167156301902774824614234953217685414401004237305111903437757020584132692385785438084392980843260162203360197280336611804213597334009261910057096361947111949605283824326}
30654 2079869575707492269787845394451072783479292663912811295867861739874243524327798003468770: {153245,183894,337073,520829,704513,858004,1225720,1378935,1470864,1593124,1654722,1866173,2327956,2696056,2964029,3033063,3085853,3609974,4165816,4180829,4503639,4686543,4788029,4970033,5361475,6433770,6786113,6862688,6901814,6906929,7631153,7659250,7720524,7992833,8362263,8928484,9191100,9316529,9496733,9803840,9955075,10036913,10516529,11029320,11593793,11764608,11792935,11854564,11946090,12131453,12407985,12742496,13026113,13235184,13383473,13800029,14097329,14151522,14335308,14889582,15699293,15984614,16291133,16764029,16847050,16941233,17367736,18238529,18872102,19149604,19238333,19297073,19538703,20216460,21012866,21564224,21750374,21756929,21758008,21932093,22059556,23098013,23186054,23505329,24259752,24321435,24477759,24492893,25942864,26630008,27122294,27140884,27292221,27844829,28822193,29166593,29185722,29396033,29618102,29958759,30018380,30026333,30255293,31981816,32139329,32992829,33163313,33880214,33926008,34014653,34375444,34524593,34807613,35373053,35649974,35824829,35979543,36022056,36219713,36840376,37907633,38166759,38296696,38356529,38474102,38748893,38916929,40035329,40142356,40524813,40793595,40861924,41445423,41595713,41873693,42262529,42429053,42883400,43021839,43083783,43205213,43371329,43513168,43631608,44116216,44366513,44587313,45193853,45890836,46192934,47062493,47226929,47449743,47500829,48041764,48243825,48474808,48952314,49015095,49030973,49085559,49474276,49630743,49793693,50120093,50663453,51216475,51415814,51460080,51476993,51585329,52234673,52282768,53050516,53206529,53583773,54188102,54534159,54659453,54890752,55225334,55464113,55906324,55999553,57121373,57228029,57433125,57601073,57892590,58026929,58329254,58818114,58983233,59460413,59513393,60307133,60392054,60940829,61046333,61262000,61459770,61573373,61752096,62483896,62695995,62782529,63149693,63725873,63935153,63969963,64353329,65155876,65557088,65865364,66436529,66696029,66875728,67058993,67214429,67911302,68160795,68265016,68919750,69471108,69691613,70294383,70455679,70461953,71179313,71486273,71844029,71983334,72321734,72704848,72742683,73514400,73751724,74388029,74517496,74742593,75147329,75235194,75298973,75652529,75697814,75753473,75803933,76798143,76811453,77186139,77380454,78066353,78415360,78916829,79266353,79290916,79515773,80163329,80561153,80908829,81388839,81792954,81801053,81803895,81900029,82048433,82406774,82703700,82806676,82986653,83528513,83695623,83832183,83872829,84741302,85507435,87051329,87257488,87400694,87716644,88217280,88264829,88726934,88773895,89232029,89976795,91775608,91913956,91970993,92018813,92973533,94008724,94008854,94020029,94098432,94152279,94162433,94166008,95172595,95299073,95676929,95975248,96148529,96693303,96891475,96948413,97230173,97933313,98164674,98260829,98401073,99101213,99244440,99753053,...,1678729512520355140870131320639079302095822092081904080751528924624445279872552477436409737214575542878238495658736919432420935173843938591397639466999479478047732938428773220943123608918623253930061679885573151702782082857494678849665283995879086245324203266598231534840844958537938314737124206266983603408766757175474262344941961182915180657303095995988523505290066614608947205935244584955239207728558775373975120839418926626349370917912651638232933874185314414297808077578699005743591024779998299919336970891242789914026195887448964693333205911889294274499415676750456782122150649062438390089187629671156503187100544166494354381262558692185562057134152492231455045926174003328985519011599248887386537096071351514627924248390918411889678686927607000891830788123380712718499152822645305568453115152840067291699382084998892180050787891646269954313625537814232775832552213951101375065840782998791247806075974996541487623464115606468336271698410971151153059737905298385232519519983851364392215339002364161115350408268135916645946948469795194805408790191080798764719695331492670262822203414762153146790609535563603019485214269969608467321522929798613668350237582284799615457544848432344948219270515758315963092958252783618428723480931125593063392873825046484904040036891520724323152280818407898131318882714493523220613683057980568664723178791859505471381502883932368898851643223648232803185998012127553600132741682629716378045570828581490691980919517752238153081232286929944823160438537619743498964833612472839947782896946177727049726748362540533378251817529582466042640071517760787434510931496938386939870706846680817122478643764174051118644958632984045942570549985638996174088821050591091769469037556761128232295151124965921612475083817698960577086265696412919752021586211921660894547934352513016521700391575703629184608209394371428777586179638671074389625925549402077867842914617252472225392691741259213736254780102727117251202060274014308813622700978009615142088778730269508207650751935135746821928303381339190330091174694344609028749043083831937903912529075333640609935212605132063613749971457042121695471889174035321630579433617031251356262024322343434293537010700780305050462330766118597038484204483059709977703108580815442697500179048263458470341447107616085261732572111084168952650681937222304287627619915471948673553215407266783062358599001837661660962703131383744128805799993344603150291698568777866097185931141479991608538849514690125689166522753221509635791987124778285243116214764808709312293450268615340942659127906011757931382611145286623879206352986670053385789574474851583936752316497571063269553578442305249933221840414809429290989246834562715706205593723579932906162453620477125628814035358411453806926286481143569668611950882957761816039775257500393719421976226757533146430355259700148605574742277227232970616031664902349225223198672251922975299900076440266722579560893398930416918667403685629155508619456630695654420545302013400601689824070682664516021326794045865156363202184536907084375571331831819075931562090589044127481734634313502577864424876167141486217750228920801467181987178045425388474886227958161140980797488051778748823550870810687236296912070269105216818200472784816931016097195189250151760584980022810218574587349780543639190539590213018275569505612918675152078558238709954294794199279733935572665854050467005789498863412659684112406394417269029849472608131518457132118936147250114993486314634777793494458471695212343938433771403569772893302931984898974917509363866239759010590325068082126869555998893820054448936497975819277214820415975680031730357296701466537320855364115749552847534351709874077682126708401654960516167344915414612012853599532764135304724888712337468186077815268197737503620903438529375257208617870930722843749695548619330766700777112481278891383300184597149680318950873456692878381336672370211724542735711548002627412843733934760700595075736492772887646576055775335998881851225418922014685595894178978454781034674294611906453222631221209238778203503194168572560363534736882682039761715283880165269282325558482915299490553524743222848765028922695870926058394702750323179413465642656987537316047687261961571825440615667841942501364753667632975216290201518366302723073693305827738994721126667705160111815592723475890012084116932939760326593651816650366382385385819519644880532879269098510100670152861055819711841680319931955863205366707273669489285279653061815374463699695193087348865238705451363081608242476492404886375571071961538458443482236772292002347158524713997156152426319446589683864396172340414468862696115395334668241148959495636988986168067576843885512246753414002818434674053557385874840140254081553405824681069131519823684474640450858647061670250734452854162236921352429826528121601506355957667855156635530876199038578678157126589471264890243305040295920504917706320396001013892865085644542920667924407925736489}
30655 2086262234460495638822589607781820468663644742557118236913275808780580611089080844768075: {245192,275841,1072505,1287006,1532150,1838580,1961152,1991405,2206296,2359049,2389686,2482083,2909945,3370070,3491934,3645089,4044084,4380233,5207270,5414961,6004852,6248724,7412702,8578360,9650655,10294032,10352721,11149684,11160605,11488875,11580786,12254800,13392726,13786650,14705760,14818205,15196769,15686144,15928120,16543980,17646912,17781846,17919135,18868696,19038257,19113744,19852776,21227283,21502962,21709670,22334373,22535249,22700006,23301257,23937005,23976921,24994481,25270575,26051604,26955280,27197510,27574445,27984089,28308153,28724406,29399873,29685257,30324690,31519299,31708349,32235329,32346336,32428580,32625561,32637012,32973161,33089334,33287510,33509609,33926105,34276817,34779081,35349821,36389628,37384646,37522975,38074022,38177657,38601689,38914296,39945012,39977270,40683441,40711326,40891721,41040737,42407510,42415457,42632249,42969305,43778583,44427153,44550689,44726966,44847101,45027570,45747422,45866057,46050470,46385309,47663894,47870870,47972724,48029408,48182081,50177945,50648873,50820321,50889012,51077405,51308561,51563166,52069286,53474961,53604250,54033084,54391460,54539510,54673409,55006214,55145270,55260564,55514801,55800734,56283377,56570237,57362452,57363545,57445044,57711153,58516262,59064941,59376137,59731889,59822774,59853833,60052205,60213534,60593510,61292886,61337462,61842845,62065457,63266324,63466889,63616742,64325100,64680701,65202809,65269752,65353460,65447412,65942006,66174324,66313145,66710297,67247153,68524781,68613440,68836254,68967149,69201374,69289401,69643961,69882905,72062646,72323201,72712212,73428471,73618217,74211414,74546726,75895094,76350302,76396541,76413053,76577500,77123721,77190120,77512961,78104870,78424152,79575774,80195414,80303657,80542577,80598353,81282153,81444845,81946360,82076102,82331705,82336128,82395257,82838001,83352902,83472233,83594660,83859486,83978342,85293284,85331270,85878077,86220566,86838885,87493881,88227171,89265497,90588081,90881060,91893000,92189655,92528249,92628144,93146870,93725844,94462121,95861921,96464237,96678137,96990244,97413449,97486121,97733814,98019200,98335632,98661689,98798046,99113645,99165833,99805694,99956054,...,2238306016693806854493508427518772402794429456109205441002038566165927039830069969915212982952767390504317994211649225909894580231791918121863519289332639304063643917905030961257498145224831005240082239847430868937042777143326238466220378661172114993765604355464308713121126611383917752982832275022644804545022342900632349793255948243886907543070794661318031340386755486145262941246992779940318943638078367165300161119225235501799161223883535517643911832247085885730410770104932007658121366373331066559115961188323719885368261183265286257777607882519059032665887569000609042829534198749917853452250172894875337582800725555325805841683411589580749409512203322975273394568232004438647358682132331849848716128095135352837232331187891215852904915903476001189107717497840950291332203763527074091270820203786756388932509446665189573401050522195026605751500717085643701110069618601468500087787710665054997074767966662055316831285487475291115028931214628201537412983873731180310026026645135152522953785336485548153800544357514555527929264626393593073878386921441065019626260441990227017096271219682870862387479380751470692646952359959477956428697239731484891133650109713066153943393131243126597625694021011087950790611003711491238297974574834124084523831766728646538720049188694299097536374424543864175091843619324697627484910743974091552964238389146007295175337178576491865135524298197643737581330682836738133510322243506288504060761104775320922641226023669650870774976382573259764213918050159657998619778149963786597043862594903636066302331150054044504335756706109954723520095357014383246014575329251182586494275795574422829971525018898734824859944843978727923427399980851994898785094734121455692625383409014837643060201499954562149966778423598614102781687595217226336028781615895547859397245803350688695600522100938172246144279192495238370114906184894765852834567399202770490457219489669962967190255655012284981673040136969489668269413698685745084830267970679486856118371640359344276867669246847662429237737841785587106788232925792812038332057445109250538550038767111520813246950140176084818333295276056162260629185565380428840772578156041668475016032429791245724716014267707073400616441021491462717978939310746279970270811441087256930000238731017944627121929476821447015643429481445558603534242582963072383503493220629264898070953876355710749811465335783548881283604175178325505074399991126137533722264758370488129581241521973322144718466019586834252222030337628679514389316166371046990821619686411612416391267024820454590212170541349010575176814860382165172275137315560071181052765966468778582336421996761417692738104589740333244295787219745905721318995779416954274940791631439910541549938160636167505085380477881938409235048641524759558149267843943682421386367010000524959229301635676710861907140346266864807432989702969643960821375553203132300297598229669230633733200101920355630106081191198573889224889871580838874011492608840927539227393736017867468919765427576886021361769058727820208484269579382542779167428442442425434575416120785392169975646179084670103819233168222855314957000305227735289575982904060567184633181637277548187974396650735704998431401161080916315062549427025473622424267297046422574688129593585666869014113306697080291432783133040724852254052786950691034092674150558233536104744318279939059725599039645247430221138733956007719331817883546245483208525889692039799296810842024609509491914863000153324648419513037057992611295593616458584578361871426363857737242646531966556679151821653012014120433424109502492741331858426739265248663967759036286427221300906708973809728935288716427807152154332737130045802279832103576168944535539947354889793220552816017138132710352180406299851616449957581437087024263650004827871251372500342944823827907630458332927398159107688934369483308371855177733579462866240425267831275590504508448896493615632723647615397336836550458311913014267460100981990363850195434741033781331842468300558562686247461192238637939708046232392815875270963508294945651704271337592224763413818046315843576053015620378506887025709767411310553732654071366324297131686705230261161234744526270333764239217954190209316716421396916349282095767254154223789256668486338223510633621720268691155070297431591074436985326294835556940213482420790297967853349445489243919680435458202422200488509847181092692859840710505692131346800893537148074426282455573759909274484273822276364892652380372870749087165951599593590783131820318273935150775477656635323206515167428095948717944591309649029722669796211366285329541536568425928786245152528229787219291816928153860446224321531945994182651981557423435791847349662337885337091246232071409847833120187005442071207766241425508693098245966187267811529415560334312603805549649228469906435370828802008474610223806875514041168265384771570876168785961686520324406720394560673223608427194668018523820114192723894223899210567648652}
30656 2092674428230209725079952292614831942197241423094548299355712179594661451339370494751608: {214543,306490,367788,398359,582103,674146,1041658,1409026,1716008,1930509,2298225,2415583,2451440,2757870,2941728,2964223,3146959,3186248,3309444,3584529,3732346,3877183,4241863,4655912,4970359,5055105,5237901,5392112,5928058,6066126,6171706,6967783,7219948,7506065,7810905,8331632,8361658,9007278,9373086,9576058,9940066,10217503,10577143,10722950,11119053,12012823,12867540,13086559,13572226,13725376,13803628,13813858,13937105,14692303,15262306,15318500,15441048,15759559,15985666,16469623,16510109,16724526,17371179,17856968,18382200,18633058,18993466,19298359,19607680,19910150,20073826,20089089,20178559,20679975,21033058,21232423,22058640,22108663,23187586,23529216,23585870,23709128,23892180,24262906,24552559,24815970,25421959,25484992,26052226,26470368,26672769,26766946,27600058,28194658,28303044,28670616,29779164,31398586,31628503,31969228,32141503,32254443,32564505,32582266,33335983,33528058,33694100,33882466,34050009,34735472,35714359,36477058,37744204,38299208,38476666,38594146,39077406,40432920,40535725,40796265,42025732,42265423,43086609,43128448,43263559,43429663,43500748,43513858,43516016,43864186,44119112,45487035,45912583,46196026,46372108,46407223,47010658,48519504,48642870,48955518,48985786,49634001,49851559,49931265,50504023,51317983,51643063,51885728,53260016,53749063,54244588,54281768,54584442,55521559,55689658,56076969,56965303,57111033,57125359,57285343,57644386,58084183,58333186,58371444,58721959,58792066,59236204,59517559,59917518,59965905,60036760,60052666,60510586,61066989,61103359,62051383,63611265,63963632,64278658,64410103,65985658,66326626,66441223,67090449,67219183,67541355,67760428,67852016,67989325,68029306,68621133,68750888,68769703,69049186,69075705,69615226,69696559,70746106,71299948,71495841,71649658,71703065,71806305,71849143,71959086,72044112,72439426,73680752,74444023,75203263,75809359,75815266,76333518,76593392,76713058,76948204,77344749,77497786,77833858,78103929,78822559,79082905,79421743,80070658,80284712,80406375,80914663,81049626,81587190,81691825,81723848,81809265,82509321,82717905,82890846,83191426,83701101,83747386,84525058,84858106,85766800,86043678,86167566,86410426,86742658,87026336,87106303,87263216,87774393,88232432,88561783,88733026,89174626,89286823,89734161,90320301,90387706,90731503,90890265,91781672,91939329,92006193,92025559,92385868,94124986,94453858,94899486,95001658,95425113,95721875,95731183,96083528,96155623,96487650,96949616,97002559,97706359,97904628,98030190,98061946,98171118,98913009,98948552,99261486,99587386,99667423,99946423,...,3357459025040710281740262641278158604191644184163808161503057849248890559745104954872819474429151085756476991317473838864841870347687877182795278933998958956095465876857546441886247217837246507860123359771146303405564165714989357699330567991758172490648406533196463069681689917075876629474248412533967206817533514350948524689883922365830361314606191991977047010580133229217894411870489169910478415457117550747950241678837853252698741835825303276465867748370628828595616155157398011487182049559996599838673941782485579828052391774897929386666411823778588548998831353500913564244301298124876780178375259342313006374201088332988708762525117384371124114268304984462910091852348006657971038023198497774773074192142703029255848496781836823779357373855214001783661576246761425436998305645290611136906230305680134583398764169997784360101575783292539908627251075628465551665104427902202750131681565997582495612151949993082975246928231212936672543396821942302306119475810596770465039039967702728784430678004728322230700816536271833291893896939590389610817580382161597529439390662985340525644406829524306293581219071127206038970428539939216934643045859597227336700475164569599230915089696864689896438541031516631926185916505567236857446961862251186126785747650092969808080073783041448646304561636815796262637765428987046441227366115961137329446357583719010942763005767864737797703286447296465606371996024255107200265483365259432756091141657162981383961839035504476306162464573859889646320877075239486997929667224945679895565793892355454099453496725081066756503635059164932085280143035521574869021862993876773879741413693361634244957287528348102237289917265968091885141099971277992348177642101182183538938075113522256464590302249931843224950167635397921154172531392825839504043172423843321789095868705026033043400783151407258369216418788742857555172359277342148779251851098804155735685829234504944450785383482518427472509560205454234502404120548028617627245401956019230284177557460539016415301503870271493643856606762678380660182349388689218057498086167663875807825058150667281219870425210264127227499942914084243390943778348070643261158867234062502712524048644686868587074021401560610100924661532237194076968408966119419955406217161630885395000358096526916940682894215232170523465144222168337905301363874444608575255239830943897347106430814533566124717198003675323321925406262767488257611599986689206300583397137555732194371862282959983217077699029380251378333045506443019271583974249556570486232429529617418624586900537230681885318255812023515862765222290573247758412705973340106771579148949703167873504632995142126539107156884610499866443680829618858581978493669125431412411187447159865812324907240954251257628070716822907613852572962287139337223901765915523632079550515000787438843952453515066292860710519400297211149484554454465941232063329804698450446397344503845950599800152880533445159121786797860833837334807371258311017238913261391308841090604026801203379648141365329032042653588091730312726404369073814168751142663663638151863124181178088254963469268627005155728849752334282972435500457841602934363974356090850776949772455916322281961594976103557497647101741621374472593824140538210433636400945569633862032194390378500303521169960045620437149174699561087278381079180426036551139011225837350304157116477419908589588398559467871145331708100934011578997726825319368224812788834538059698945216263036914264237872294500229986972629269555586988916943390424687876867542807139545786605863969797949835018727732479518021180650136164253739111997787640108897872995951638554429640831951360063460714593402933074641710728231499105695068703419748155364253416803309921032334689830829224025707199065528270609449777424674936372155630536395475007241806877058750514417235741861445687499391097238661533401554224962557782766600369194299360637901746913385756762673344740423449085471423096005254825687467869521401190151472985545775293152111550671997763702450837844029371191788357956909562069348589223812906445262442418477556407006388337145120727069473765364079523430567760330538564651116965830598981107049486445697530057845391741852116789405500646358826931285313975074632095374523923143650881231335683885002729507335265950432580403036732605446147386611655477989442253335410320223631185446951780024168233865879520653187303633300732764770771639039289761065758538197020201340305722111639423683360639863911726410733414547338978570559306123630748927399390386174697730477410902726163216484952984809772751142143923076916886964473544584004694317049427994312304852638893179367728792344680828937725392230790669336482297918991273977972336135153687771024493506828005636869348107114771749680280508163106811649362138263039647368949280901717294123340501468905708324473842704859653056243203012711915335710313271061752398077157356314253178942529780486610080591841009835412640792002027785730171289085841335848815851472978}
30657 2099106216368023757424789653024077270910279041738140988581426009539343869052542155365940: {459735,490384,551682,1011219,1501507,1562487,2113539,2145010,2574012,2787967,3064300,3677160,3922304,3982810,4073923,4136805,4412592,4718098,4779372,4964166,5176639,5598519,5819890,6740140,6983868,7290178,8088168,8760466,8892087,9024935,9099189,9257559,10414540,10829922,12009704,12497448,12542487,13510917,14059629,14364087,14825404,14910099,15624847,16084425,17156720,17254535,17835719,19148125,19301310,20358339,20588064,20705442,20720787,20745487,22299368,22321210,22893459,22977750,23161572,23978499,24443807,24509600,25086789,26632567,26785452,27573300,27949587,28490199,28849199,29411520,29636410,29865225,29915303,30110739,30393538,31372288,31549587,31856240,33087960,33511807,34781379,35293824,35378805,35438743,35563692,35838270,35944403,36394359,37223955,37737392,38076514,38227488,38604223,39078339,39705552,39961535,40150419,41400087,42117625,42291987,42454566,43005924,43115927,43419340,44668746,45070498,45400012,45869059,45977063,46602514,47097879,47180255,47496547,47874010,47953842,48648007,48873399,49984583,49988962,50292087,50383567,50541150,50823699,52103208,52435463,52532165,53910560,54375935,54395020,54715587,55148890,55968178,56616306,57448812,57714999,57891219,57965135,58616109,58799746,59370514,59857759,59989523,60157027,60649380,62916863,63038598,63225559,63416698,63471043,64470658,64692672,64857160,65251122,65270787,65274024,65796279,65946322,65982983,66178668,66575020,67019218,67805735,67852210,67943543,68553634,68971663,69141439,69294039,69558162,70249123,70515987,70699642,71508367,72779256,72964305,73433277,73478679,73917383,74045255,74769292,75045950,75740887,76117487,76148044,76355314,77203378,77233703,77828592,78821159,79890024,79954540,80140519,80308963,81366882,81422652,81783442,81876663,82081474,83534487,84073087,84700535,84815020,84830914,85264498,85909703,85938610,86466579,86579983,87499779,87557166,88188099,88854306,89101378,89124935,89453932,89603447,89694202,89876277,90055140,90078999,90765879,91494844,91732114,91800703,92100940,92770618,92838403,95252599,95327788,95741740,95945448,96058816,96096047,96185255,96364162,96417987,97836067,98867903,98978487,99489939,...,5036188537561065422610393961917237906287466276245712242254586773873335839617657432309229211643726628634715486976210758297262805521531815774192918400998438434143198815286319662829370826755869761790185039656719455108346248572484036548995851987637258735972609799794694604522534875613814944211372618800950810226300271526422787034825883548745541971909287987965570515870199843826841617805733754865717623185676326121925362518256779879048112753737954914698801622555943242893424232736097017230773074339994899758010912673728369742078587662346894079999617735667882823498247030251370346366451947187315170267562889013469509561301632499483063143787676076556686171402457476694365137778522009986956557034797746662159611288214054543883772745172755235669036060782821002675492364370142138155497458467935916705359345458520201875098146254996676540152363674938809862940876613442698327497656641853304125197522348996373743418227924989624462870392346819405008815095232913453459179213715895155697558559951554093176646017007092483346051224804407749937840845409385584416226370573242396294159085994478010788466610244286459440371828606690809058455642809908825401964568789395841005050712746854398846372634545297034844657811547274947889278874758350855286170442793376779190178621475139454712120110674562172969456842455223694393956648143480569661841049173941705994169536375578516414144508651797106696554929670944698409557994036382660800398225047889149134136712485744472075942758553256714459243696860789834469481315612859230496894500837418519843348690838533181149180245087621600134755452588747398127920214553282362303532794490815160819612120540042451367435931292522153355934875898952137827711649956916988522266463151773275308407112670283384696885453374897764837425251453096881731258797089238759256064758635764982683643803057539049565101174727110887553824628183114286332758538916013223168877776648206233603528743851757416676178075223777641208764340308181351753606180822042926440868102934028845426266336190808524622952255805407240465784910144017570990273524083033827086247129251495813711737587226000921829805637815396190841249914371126365086415667522105964891738300851093754068786072967030302880611032102340915151386992298355791115452613449179129933109325742446328092500537144790375411024341322848255785197716333252506857952045811666912862882859746415846020659646221800349187075797005512984982888109394151232386417399980033809450875095706333598291557793424439974825616548544070377067499568259664528907375961374334855729348644294426127936880350805846022827977383718035273794147833435859871637619058960010160157368723424554751810256949492713189808660735326915749799665521244428287872967740503688147118616781170739798718487360861431376886442106075234361420778859443430709005835852648873285448119325772501181158265928680272599439291065779100445816724226831681698911848094994707047675669596016755768925899700229320800167738682680196791250756002211056887466525858369892086963261635906040201805069472212047993548063980382137595469089606553610721253126713995495457227794686271767132382445203902940507733593274628501424458653250686762404401545961534136276165424658683874483422942392464155336246470652612432061708890736210807315650454601418354450793048291585567750455281754940068430655723762049341630917571618770639054826708516838756025456235674716129862884382597839201806717997562151401017368496590237979052337219183251807089548417824394555371396356808441750344980458943904333380483375415085637031815301314210709318679908795954696924752528091598719277031770975204246380608667996681460163346809493927457831644461247927040095191071890104399611962566092347248658542603055129622233046380125204964881548502034746243836038560798598292405914174666137012404558233445804593212510862710315588125771625853612792168531249086645857992300102331337443836674149900553791449040956852620370078635144010017110635173628207134644007882238531201804282101785227209478318662939728167326007996645553676256766044056787682536935364343104022883835719359667893663627716334610509582505717681090604210648046119285145851640495807846976675448745898471660574229668546295086768087612778175184108250969538240396927970962611948143061785884715476321847003525827504094261002898925648870604555098908169221079917483216984163380003115480335446778170427670036252350798819280979780955449951099147156157458558934641598637807295530302010458583167459135525040959795867589616100121821008467855838959185446123391099085579262046595716116354089244824727429477214659126713215884615375330446710316876007041475574141991468457278958339769051593188517021243406588088346186004004723446878486910966958504202730531656536740260242008455304022160672157624520420762244660217474043207394559471053423921352575941185010752203358562486710764057289479584364804519067873003565469906592628597115736034471379768413794670729915120887761514753118961188003041678595256933628762003773223777209467}
30658 2105557658404606570439352765086776865333997061415229744680313774322735128168970269207877: {429086,612980,735576,796718,827523,1164206,1348292,2083316,2818052,3086257,3217515,3432016,3830375,3861018,4545841,4596450,4831166,4902880,5091997,5515740,5819197,5883456,5928446,5974215,6293918,6372496,6618888,6907837,7077147,7169058,7446249,7464692,7754366,8174641,8425175,8483726,8729835,9311824,9437917,9618097,9940718,10110210,10475802,10508491,10784224,10935267,11774641,11856116,12132252,12343412,13018175,13140699,13920817,13935566,14439896,15012130,15621810,15701377,16244883,16663264,16723316,17120641,17651677,18005341,18014556,18531755,18746172,19152116,19417117,19511947,19880132,20435006,21154286,21445900,22238106,24025646,24496177,25018141,25735080,26173118,27144452,27450752,27607256,27627716,27874210,27963697,28951965,29384606,30524612,30637000,30882096,31058163,31519118,31971332,32257597,32939246,33020218,33449052,33481815,34466625,34742358,35713936,36168241,36764400,37013341,37266116,37986932,38596718,38698141,39215360,39820300,39873217,40147652,40178178,40357118,41359950,41712637,42066116,42379357,42464846,44041117,44117280,44217326,44454615,45590307,46375172,47058432,47171740,47418256,47507377,47784360,48525812,49105118,49146817,49473841,49631940,50843918,50969984,51592477,52104452,52940736,53345538,53533892,53757405,54274175,54828157,55200116,56389316,56606088,56750015,57114771,57236017,57341232,58035037,58354141,59558328,59627677,59945341,60262717,61054897,62797172,63257006,63681849,63938456,64283006,64508886,65129010,65164532,65457841,66238141,66549757,66671966,67003119,67056116,67327537,67388200,67605747,67764932,67993775,68100018,69032317,69470944,69804337,69903771,71428718,71649841,71811015,71930763,72954116,74398657,74983443,75488408,75764317,75811725,76520497,76598416,76953332,77188292,78154812,79975741,80721841,80865840,81071450,81592530,81911857,82208641,82723335,83218775,83245117,83952267,83983297,84051464,84530846,84924459,85894141,86173218,86256896,86527118,86859326,87001496,87027716,87032032,87728372,88083841,88199619,88238224,88374577,89055771,89100157,90974070,90978241,91697341,91825166,92392052,92744216,92814446,93461615,94021316,94128817,94271197,94557897,95125047,95185055,96705987,96962737,97039008,97285740,97876683,97911036,97971572,98919483,99069277,99209137,99268002,99703118,99862530,99943175,...,6714918050081420563480525282556317208383288368327616323006115698497781119490209909745638948858302171512953982634947677729683740695375754365590557867997917912190931753715092883772494435674493015720246719542292606811128331429978715398661135983516344981296813066392926139363379834151753258948496825067934413635067028701897049379767844731660722629212383983954094021160266458435788823740978339820956830914235101495900483357675706505397483671650606552931735496741257657191232310314796022974364099119993199677347883564971159656104783549795858773332823647557177097997662707001827128488602596249753560356750518684626012748402176665977417525050234768742248228536609968925820183704696013315942076046396995549546148384285406058511696993563673647558714747710428003567323152493522850873996611290581222273812460611360269166797528339995568720203151566585079817254502151256931103330208855804405500263363131995164991224303899986165950493856462425873345086793643884604612238951621193540930078079935405457568861356009456644461401633072543666583787793879180779221635160764323195058878781325970681051288813659048612587162438142254412077940857079878433869286091719194454673400950329139198461830179393729379792877082063033263852371833011134473714893923724502372253571495300185939616160147566082897292609123273631592525275530857974092882454732231922274658892715167438021885526011535729475595406572894592931212743992048510214400530966730518865512182283314325962767923678071008952612324929147719779292641754150478973995859334449891359791131587784710908198906993450162133513007270118329864170560286071043149738043725987753547759482827386723268489914575056696204474579834531936183770282199942555984696355284202364367077876150227044512929180604499863686449900335270795842308345062785651679008086344847686643578191737410052066086801566302814516738432837577485715110344718554684297558503702197608311471371658469009888901570766965036854945019120410908469004808241096057235254490803912038460568355114921078032830603007740542987287713213525356761320364698777378436114996172335327751615650116301334562439740850420528254454999885828168486781887556696141286522317734468125005425048097289373737174148042803121220201849323064474388153936817932238839910812434323261770790000716193053833881365788430464341046930288444336675810602727748889217150510479661887794694212861629067132249434396007350646643850812525534976515223199973378412601166794275111464388743724565919966434155398058760502756666091012886038543167948499113140972464859059234837249173801074461363770636511624047031725530444581146495516825411946680213543158297899406335747009265990284253078214313769220999732887361659237717163956987338250862824822374894319731624649814481908502515256141433645815227705145924574278674447803531831047264159101030001574877687904907030132585721421038800594422298969108908931882464126659609396900892794689007691901199600305761066890318243573595721667674669614742516622034477826522782617682181208053602406759296282730658064085307176183460625452808738147628337502285327327276303726248362356176509926938537254010311457699504668565944871000915683205868727948712181701553899544911832644563923189952207114995294203483242748945187648281076420867272801891139267724064388780757000607042339920091240874298349399122174556762158360852073102278022451674700608314232954839817179176797118935742290663416201868023157995453650638736449625577669076119397890432526073828528475744589000459973945258539111173977833886780849375753735085614279091573211727939595899670037455464959036042361300272328507478223995575280217795745991903277108859281663902720126921429186805866149283421456462998211390137406839496310728506833606619842064669379661658448051414398131056541218899554849349872744311261072790950014483613754117501028834471483722891374998782194477323066803108449925115565533200738388598721275803493826771513525346689480846898170942846192010509651374935739042802380302945971091550586304223101343995527404901675688058742383576715913819124138697178447625812890524884836955112814012776674290241454138947530728159046861135520661077129302233931661197962214098972891395060115690783483704233578811001292717653862570627950149264190749047846287301762462671367770005459014670531900865160806073465210892294773223310955978884506670820640447262370893903560048336467731759041306374607266601465529541543278078579522131517076394040402680611444223278847366721279727823452821466829094677957141118612247261497854798780772349395460954821805452326432969905969619545502284287846153833773928947089168009388634098855988624609705277786358735457584689361657875450784461581338672964595837982547955944672270307375542048987013656011273738696214229543499360561016326213623298724276526079294737898561803434588246681002937811416648947685409719306112486406025423830671420626542123504796154314712628506357885059560973220161183682019670825281584004055571460342578171682671697631702945956}
30659 2112028814050445012934671539151613514494349994041449541649800261048360083927207766058490: {643629,766225,919470,980768,1103364,1195077,1685365,1746309,2022438,2604145,3003014,3124974,3522565,3707077,4227078,4290020,5148024,5575934,5727997,5791527,6128600,6894675,7246749,7354320,7844608,7965620,8147846,8273610,8825184,8892669,9330865,9436196,9440877,9558744,9928332,10353278,10753587,11197038,11631549,11639780,12634909,12725589,13480280,13967736,14580356,14820145,14911077,15165315,15429265,15713703,16176336,17520932,17784174,18049870,18198378,18515118,20829080,20903349,20904145,21078577,21659844,22518195,23432715,23880637,23940145,24019408,24156349,24850165,24994896,25084974,26807375,27021834,27319549,28119258,28728174,29650808,29820198,29917261,30256477,30652509,31249694,31731429,32168850,32826289,33357159,33930565,34313440,34509070,34534645,35354449,35671438,36038469,36616261,38155765,38296250,38602620,39259677,39964165,40716678,41176128,41410884,41441574,41490974,41492989,41811315,42479749,43118749,43974997,44076909,44598736,44642420,45786918,45955500,46226689,46323144,46582645,46648261,46996849,47278677,47483665,47956998,48188389,48887614,49019200,49408869,49530327,49775375,50173578,50184565,50655517,51399937,52113537,52582645,52657957,53265134,53473789,53570904,54336529,55146600,55522069,55899174,55946149,56980398,57698398,57895077,57968965,58325677,58604341,58646209,58823040,58964675,59072689,59272820,59730450,59830606,59993461,60221478,60267267,60535677,60657265,60659797,60787076,62039925,62744576,62920981,63099174,63697269,63712480,64689169,65130565,66052357,66175920,66325989,66652861,66917365,67023614,67255957,68132509,69000145,69562758,70486645,70587648,70757610,70877486,70896709,71127384,71676540,71888806,72788718,73545031,73657677,73922221,74447910,75131869,75474784,75936901,76122469,76126309,76153028,76265877,76423057,76454976,77208446,77238769,77523109,77979889,78156678,78270397,78496465,79411104,79923070,80018307,80300838,81151189,81455665,82800174,83820145,84235250,84257101,84583974,84706165,84723469,84909132,85823377,85915357,86011848,86231854,86320021,86838680,89116789,89337492,89419441,89609329,90140996,90800024,91192645,91738118,91954126,93205028,93785269,93864397,94195758,94360510,94885509,94928029,94993094,95748020,95907684,96191665,96424509,96485365,96763329,97296014,97498909,97693515,97746798,98915821,99903169,99969166,99977924,...,10072377075122130845220787923834475812574932552491424484509173547746671679235314864618458423287453257269430973952421516594525611043063631548385836801996876868286397630572639325658741653511739523580370079313438910216692497144968073097991703975274517471945219599589389209045069751227629888422745237601901620452600543052845574069651767097491083943818575975931141031740399687653683235611467509731435246371352652243850725036513559758096225507475909829397603245111886485786848465472194034461546148679989799516021825347456739484157175324693788159999235471335765646996494060502740692732903894374630340535125778026939019122603264998966126287575352153113372342804914953388730275557044019973913114069595493324319222576428109087767545490345510471338072121565642005350984728740284276310994916935871833410718690917040403750196292509993353080304727349877619725881753226885396654995313283706608250395044697992747486836455849979248925740784693638810017630190465826906918358427431790311395117119903108186353292034014184966692102449608815499875681690818771168832452741146484792588318171988956021576933220488572918880743657213381618116911285619817650803929137578791682010101425493708797692745269090594069689315623094549895778557749516701710572340885586753558380357242950278909424240221349124345938913684910447388787913296286961139323682098347883411988339072751157032828289017303594213393109859341889396819115988072765321600796450095778298268273424971488944151885517106513428918487393721579668938962631225718460993789001674837039686697381677066362298360490175243200269510905177494796255840429106564724607065588981630321639224241080084902734871862585044306711869751797904275655423299913833977044532926303546550616814225340566769393770906749795529674850502906193763462517594178477518512129517271529965367287606115078099130202349454221775107649256366228572665517077832026446337755553296412467207057487703514833352356150447555282417528680616362703507212361644085852881736205868057690852532672381617049245904511610814480931569820288035141980547048166067654172494258502991627423475174452001843659611275630792381682499828742252730172831335044211929783476601702187508137572145934060605761222064204681830302773984596711582230905226898358259866218651484892656185001074289580750822048682645696511570395432666505013715904091623333825725765719492831692041319292443600698374151594011025969965776218788302464772834799960067618901750191412667196583115586848879949651233097088140754134999136519329057814751922748669711458697288588852255873760701611692045655954767436070547588295666871719743275238117920020320314737446849109503620513898985426379617321470653831499599331042488856575745935481007376294237233562341479597436974721722862753772884212150468722841557718886861418011671705297746570896238651545002362316531857360545198878582131558200891633448453663363397823696189989414095351339192033511537851799400458641600335477365360393582501512004422113774933051716739784173926523271812080403610138944424095987096127960764275190938179213107221442506253427990990914455589372543534264764890407805881015467186549257002848917306501373524808803091923068272552330849317367748966845884784928310672492941305224864123417781472421614631300909202836708901586096583171135500910563509880136861311447524098683261835143237541278109653417033677512050912471349432259725768765195678403613435995124302802034736993180475958104674438366503614179096835648789110742792713616883500689960917887808666760966750830171274063630602628421418637359817591909393849505056183197438554063541950408492761217335993362920326693618987854915663288922495854080190382143780208799223925132184694497317085206110259244466092760250409929763097004069492487672077121597196584811828349332274024809116466891609186425021725420631176251543251707225584337062498173291715984600204662674887673348299801107582898081913705240740157270288020034221270347256414269288015764477062403608564203570454418956637325879456334652015993291107352513532088113575365073870728686208045767671438719335787327255432669221019165011435362181208421296092238570291703280991615693953350897491796943321148459337092590173536175225556350368216501939076480793855941925223896286123571769430952643694007051655008188522005797851297741209110197816338442159834966433968326760006230960670893556340855340072504701597638561959561910899902198294312314917117869283197275614591060604020917166334918271050081919591735179232200243642016935711677918370892246782198171158524093191432232708178489649454858954429318253426431769230750660893420633752014082951148283982936914557916679538103186377034042486813176176692372008009446893756973821933917008405461063313073480520484016910608044321344315249040841524489320434948086414789118942106847842705151882370021504406717124973421528114578959168729609038135746007130939813185257194231472068942759536827589341459830241775523029506237922376006083357190513867257524007546447554418934}
30660 2118519743196383964040388441166448762647505165838964896877059001877460685710593716595454: {337139,520931,704651,858172,888299,1225960,1379205,1471152,1593436,1655046,2049731,2328412,2537891,2696584,3033657,3086459,3147371,3269171,3999299,4166632,4504521,4606859,4687461,4971011,5092331,5362525,5636104,5819579,5880131,6172514,6340617,6424739,6435030,6864032,6968699,7089491,7660750,7722036,7813571,8175179,8235419,8363901,8897531,9091682,9192900,9498611,9662332,9805760,9957025,10183994,10218851,10518611,10698371,11031480,11117531,11638394,11766912,11775419,11795245,11856892,11948430,12133859,12221769,12410415,12587836,12670979,12744992,13237776,13564739,13802771,13815674,13981211,14154294,14338116,14456699,14549725,14812979,14892498,14929384,15050339,15508732,15529917,15702419,15761651,16294379,16349282,16471811,16767371,16795557,16850350,16944611,16967452,17121779,17180819,17459670,18065459,18225445,18418811,18623648,18875834,18948299,19236194,19418411,19881436,20220420,20298491,20951604,21001259,21016982,21568448,21870534,21901165,21936491,22111619,22228331,23510051,23549282,23712232,23800811,24149459,24264504,24555851,24671891,24686824,25541171,25944457,26036350,26281398,26676261,26985971,27074805,27297567,27331979,27772677,27841634,27850451,27871132,28879792,29000291,29401979,29574011,30024260,30204179,30547499,31061939,31243620,31402754,31404539,32145851,32259779,32316731,32489766,33170051,33326528,33340499,33446632,34241282,34984451,35303354,35832131,36001451,36010682,36029112,36227099,36396251,36734339,37015859,37063510,37492344,37522091,37627461,38083811,38304232,38756819,38834234,38924891,39023894,39760264,40211051,40532751,40870012,41214659,41771099,42049019,42178887,42308572,42382259,42437771,42604259,42891800,43092261,43214099,43380251,43546331,44375651,44476212,44596499,44730297,45368459,46028891,46413611,46523459,46874541,47236691,47510651,48051292,48253275,48992354,49204739,50036282,50130491,50836859,51470160,51650219,51763605,51975059,52346236,52569851,53217611,53507157,53756531,53864219,54288904,54348419,54670859,54831971,54901504,55214512,55255432,55475699,55748420,55803025,55927394,55957739,56599451,57240011,57293339,57399971,57444375,57613139,57772931,57903930,58092299,58358219,58730171,58769212,58995611,59154779,59472899,59631851,59684819,60266939,60319811,61049224,61075017,61111931,61274000,61586339,61764192,62116326,62162361,62236461,62953211,63038236,63163019,63942664,63948659,64366931,64515194,64523651,65462459,65514539,65878492,66040436,66294779,66554459,66898104,66963630,67073219,67228691,67332299,67384091,68680377,68882579,68933250,69346259,69484716,69809291,71427872,71654939,71706059,71935497,72336482,72420899,72726779,73185059,73331421,73528800,73795091,74026682,74091025,74454659,74532232,74556011,74910491,75260367,75315131,75466739,75668771,75820211,75971579,75973864,75983845,76525979,77179931,77193436,77396282,77431091,78430720,78833891,78933851,79083731,79283459,79433171,79450021,79532939,79640600,79746434,79897701,80180651,80295304,80356356,80429411,80714236,80727659,80926331,81174491,82066211,82214579,82264019,82719900,83425274,83848761,84132232,84185939,84758714,84921899,84929692,85470597,85656059,85900379,85949219,86547597,87410699,87944771,88082234,88234560,88434652,88574699,88909230,89106659,89154971,89595675,89745909,90263939,90332217,90840851,91032899,91180614,91751939,92421419,92750344,92850971,93850739,94116864,94183211,94325579,94343480,94648761,94836512,95014754,95191285,95461931,95568720,95839691,96405371,97016891,97051624,97251731,97814531,98210236,98293634,98422931,98947682,99123251,99263880,99775259,99961259,...,15108565612683196267831181885751713718862398828737136726763760321620007518852972296927687634931179885904146460928632274891788416564595447322578755202995315302429596445858958988488112480267609285370555118970158365325038745717452109646987555962911776207917829399384083813567604626841444832634117856402852430678900814579268361104477650646236625915727863963896711547610599531480524853417201264597152869557028978365776087554770339637144338261213864744096404867667829728680272698208291051692319223019984699274032738021185109226235762987040682239998853207003648470494741090754111039099355841561945510802688667040408528683904897498449189431363028229670058514207372430083095413335566029960869671104393239986478833864642163631651318235518265707007108182348463008026477093110426414466492375403807750116078036375560605625294438764990029620457091024816429588822629840328094982492969925559912375592567046989121230254683774968873388611177040458215026445285698740360377537641147685467092675679854662279529938051021277450038153674413223249813522536228156753248679111719727188882477257983434032365399830732859378321115485820072427175366928429726476205893706368187523015152138240563196539117903635891104533973434641824843667836624275052565858511328380130337570535864425418364136360332023686518908370527365671083181869944430441708985523147521825117982508609126735549242433525955391320089664789012834095228673982109147982401194675143667447402410137457233416227828275659770143377731090582369503408443946838577691490683502512255559530046072515599543447540735262864800404266357766242194383760643659847086910598383472445482458836361620127354102307793877566460067804627696856413483134949870750965566799389455319825925221338010850154090656360124693294512275754359290645193776391267716277768194275907294948050931409172617148695303524181332662661473884549342858998275616748039669506633329944618700810586231555272250028534225671332923626293020924544055260818542466128779322604308802086536278799008572425573868856767416221721397354730432052712970820572249101481258741387754487441135212761678002765489416913446188572523749743113379095259247002566317894675214902553281262206358218901090908641833096307022745454160976895067373346357840347537389799327977227338984277501611434371126233073023968544767355593148999757520573856137435000738588648579239247538061978938665401047561227391016538954948664328182453697159252199940101428352625287119000794874673380273319924476849645632211131202498704778993586722127884123004567188045932883278383810641052417538068483932151154105821382443500307579614912857176880030480472106170273664255430770848478139569425982205980747249398996563733284863618903221511064441355850343512219396155462082584294130659326318225703084262336578330292127017507557946619856344357977317503543474797786040817798317873197337301337450172680495045096735544284984121143027008788050267306777699100687962400503216048040590373752268006633170662399577575109676260889784907718120605415208416636143980644191941146412786407268819660832163759380141986486371683384058815301397147335611708821523200779823885504273375959752060287213204637884602408828496273976051623450268827177392466008739411957837296185126672208632421946951363804255063352379144874756703251365845264820205291967171286148024892752714856311917164480125550516268076368707024148389588653147793517605420153992686454203052105489770713937157011657549755421268645253473183666114189070425325251034941376831713000141450126245256911095445903942632127956039726387864090774257584274796157831095312925612739141826003990044380490040428481782373494933383743781120285573215670313198835887698277041745975627809165388866699139140375614894644645506104238731508115682395794877217742523998411037213674700337413779637532588130946764377314877560838376505593747259937573976900306994012331510022449701661374347122870557861110235905432030051331905520884621403932023646715593605412846305355681628434955988819184501978023989936661028770298132170363047610806093029312068651507158079003680990883149003831528747517153043271812631944138357855437554921487423540930026346237695414981722689005638885260304262838334525552324752908614721190783912887835844429185357654146428965541010577482512282783008696776946611813665296724507663239752449650952490140009346441006340334511283010108757052396457842939342866349853297441468472375676803924795913421886590906031375749502377406575122879387602768848300365463025403567516877556338370173297256737786139787148349062267734474182288431643977380139647653846125991340130950628021124426722425974405371836875019307154779565551063730219764265038558012014170340635460732900875512608191594969610220780726025365912066482016472873561262286733980652422129622183678413160271764057727823555032256610075687460132292171868438753094413557203619010696409719777885791347208103414139305241384012189745362663284544259356883564009125035785770800886286011319671331628401}
30661 2125030505914167961645146389253249265781834787808977684212579966488277142056307326765822: {30661,1072715,1287258,1532450,1838940,1961536,1991795,2206728,2359511,2390154,2482569,2910515,3370730,3492618,3645803,4044876,4381091,4931591,5208290,6006028,6249948,6401879,6769451,7045130,7414154,8454156,8580040,9258771,9652545,10296048,11151868,11455994,11491125,11583054,12077915,12257200,13063211,13637523,13789350,14493498,14708640,14821115,15275991,15689216,15734795,15931240,16295692,16547220,17457591,17650368,17785338,17922645,18661730,18872392,18881754,19117488,19385915,19856664,20706556,20723511,20748203,21209315,21231441,21507174,21600971,22338747,22394076,23263098,23279560,24523923,24553331,24851795,25269818,25275525,25451178,26189505,26960560,27935472,28222571,28313751,28854291,29160712,29265803,29640290,29822154,30330630,30858530,31427406,31525473,32352672,32600051,32805801,33516203,34790231,34827203,34838915,35041864,35090171,35323923,35356763,35568348,36099740,36396756,37030236,37530325,39054525,39422097,41658160,41762451,41806698,41808290,42157154,42899531,43273763,43319688,45036390,46865430,47104131,47502791,47761274,47880290,48038816,48191543,48312698,48348503,48734649,49700330,49989792,50169948,50238011,51087515,51361923,51665123,51970451,52661411,52885715,52955031,53173403,53418071,53614750,53907251,54016023,54043668,54639098,55129763,55525703,55595265,55949831,56238516,57456348,58251351,58535841,59301616,59640396,59764823,59834522,59865611,60064115,60512954,60663779,61305018,62232131,62499388,63462858,64337700,64693403,65215703,65432795,65545763,65652578,65886203,66477131,66714318,67260359,67861130,68626880,69018140,69069290,69150491,69685525,69996923,70258391,70708898,70901363,71342876,71688851,72076938,73232522,73461515,73488531,73615703,74637431,75054423,75750803,76311530,76428059,76536203,76592500,77205240,77528183,78275531,78519354,78771563,78797795,79928330,80151011,80262731,81156551,81433356,82348115,82352256,82550545,82821768,82883148,82981948,82985978,83622630,83891091,83929091,84920171,84959498,86237498,86325683,86855895,87478679,87595451,87949994,88153818,89197472,89284840,91182791,91190123,91573836,91911000,92453378,92646288,93165290,93174489,93296522,93684311,93993698,94532471,94557354,94967330,95586299,95913996,96376778,96491795,96600203,96772791,97775228,98038400,98681303,98817738,99060654,99550750,...,20144754150244261690441575847668951625149865104982848969018347095493343358470629729236916846574906514538861947904843033189051222086127263096771673603993753736572795261145278651317483307023479047160740158626877820433384994289936146195983407950549034943890439199178778418090139502455259776845490475203803240905201086105691148139303534194982167887637151951862282063480799375307366471222935019462870492742705304487701450073027119516192451014951819658795206490223772971573696930944388068923092297359979599032043650694913478968314350649387576319998470942671531293992988121005481385465807788749260681070251556053878038245206529997932252575150704306226744685609829906777460551114088039947826228139190986648638445152856218175535090980691020942676144243131284010701969457480568552621989833871743666821437381834080807500392585019986706160609454699755239451763506453770793309990626567413216500790089395985494973672911699958497851481569387277620035260380931653813836716854863580622790234239806216372706584068028369933384204899217630999751363381637542337664905482292969585176636343977912043153866440977145837761487314426763236233822571239635301607858275157583364020202850987417595385490538181188139378631246189099791557115499033403421144681771173507116760714485900557818848480442698248691877827369820894777575826592573922278647364196695766823976678145502314065656578034607188426786219718683778793638231976145530643201592900191556596536546849942977888303771034213026857836974787443159337877925262451436921987578003349674079373394763354132724596720980350486400539021810354989592511680858213129449214131177963260643278448482160169805469743725170088613423739503595808551310846599827667954089065852607093101233628450681133538787541813499591059349701005812387526925035188356955037024259034543059930734575212230156198260404698908443550215298512732457145331034155664052892675511106592824934414114975407029666704712300895110564835057361232725407014424723288171705763472411736115381705065344763234098491809023221628961863139640576070283961094096332135308344988517005983254846950348904003687319222551261584763364999657484505460345662670088423859566953203404375016275144291868121211522444128409363660605547969193423164461810453796716519732437302969785312370002148579161501644097365291393023140790865333010027431808183246667651451531438985663384082638584887201396748303188022051939931552437576604929545669599920135237803500382825334393166231173697759899302466194176281508269998273038658115629503845497339422917394577177704511747521403223384091311909534872141095176591333743439486550476235840040640629474893698219007241027797970852759234642941307662999198662084977713151491870962014752588474467124682959194873949443445725507545768424300937445683115437773722836023343410595493141792477303090004724633063714721090397757164263116401783266896907326726795647392379978828190702678384067023075703598800917283200670954730720787165003024008844227549866103433479568347853046543624160807220277888848191974192255921528550381876358426214442885012506855981981828911178745087068529529780815611762030934373098514005697834613002747049617606183846136545104661698634735497933691769569856621344985882610449728246835562944843229262601818405673417803172193166342271001821127019760273722622895048197366523670286475082556219306834067355024101824942698864519451537530391356807226871990248605604069473986360951916209348876733007228358193671297578221485585427233767001379921835775617333521933501660342548127261205256842837274719635183818787699010112366394877108127083900816985522434671986725840653387237975709831326577844991708160380764287560417598447850264369388994634170412220518488932185520500819859526194008138984975344154243194393169623656698664548049618232933783218372850043450841262352503086503414451168674124996346583431969200409325349775346696599602215165796163827410481480314540576040068442540694512828538576031528954124807217128407140908837913274651758912669304031986582214705027064176227150730147741457372416091535342877438671574654510865338442038330022870724362416842592184477140583406561983231387906701794983593886642296918674185180347072350451112700736433003878152961587711883850447792572247143538861905287388014103310016377044011595702595482418220395632676884319669932867936653520012461921341787112681710680145009403195277123919123821799804396588624629834235738566394551229182121208041834332669836542100163839183470358464400487284033871423355836741784493564396342317048186382864465416356979298909717908858636506852863538461501321786841267504028165902296567965873829115833359076206372754068084973626352353384744016018893787513947643867834016810922126626146961040968033821216088642688630498081683048978640869896172829578237884213695685410303764740043008813434249946843056229157918337459218076271492014261879626370514388462944137885519073655178682919660483551046059012475844752012166714381027734515048015092895108837868}
30662 2131561162456984447973719161632454482998275938579511371600767559072953590815148241474822: {398437,582217,674278,949561,1041862,1409302,1716344,1776598,1930887,2298675,2451920,2758410,2942304,3147577,3186872,3310092,3330277,3585231,4099462,4656824,5056095,5075782,5238927,5393168,5880517,6067314,6172918,6294742,6538342,7507535,7812435,7998598,8235961,8333264,9009042,9213718,9374922,9942022,10184662,10567695,10579237,10725050,11121231,11272208,11639158,11760262,12345028,12373477,12681234,12731461,12849478,12870060,13267897,13728064,13937398,13939835,14178982,15321500,15444072,15627142,15762697,16350358,16470838,16513343,16727802,17181961,17183991,17374581,17795062,18183364,18385800,18997222,19324664,19611520,19914050,20182597,20367988,20369615,20437702,20684025,21037222,21396742,21740247,22062960,22235062,23276788,23533824,23550838,23590490,23713784,23896860,24209161,24267718,24443538,24731557,24820830,25175672,25341958,25489984,25515623,25600777,25883195,26475552,26678007,27129478,27605542,27631348,27962422,27992595,28308588,28322631,28676232,28913398,29099450,29403961,29625958,29784996,29858768,30100678,30263461,30606757,30661631,31017464,31059834,31121161,31404838,31463737,31523302,32260761,32318917,32588758,32698564,32943622,33534742,33591114,33700700,33889222,33934904,34243558,34361638,34894647,34919340,36130918,36450890,36837622,37247296,37580857,37751668,37896598,37904727,38176767,38472388,38836822,39762872,40440840,40596982,41903208,42002518,42033964,42440677,42939961,43136896,43272457,43438597,43741068,43802330,43872982,44223238,44456662,44460435,44599561,44733231,45124675,45495945,46287795,47020102,47098564,47141109,47424464,47601622,48298918,48529008,49111702,49343782,49373648,50351461,50677477,51082342,51491257,51888914,52072700,52562796,53352522,53921797,53971942,54149610,54595134,54663958,55533157,55545354,55683268,55700902,55742264,56015161,57137317,57297337,57759584,58000582,58803958,59148022,59530057,59688997,60048520,60324037,60408358,61094998,62123878,62487240,62710047,62712435,62805508,62809078,63235731,63953161,64291702,64423717,64519558,64633462,64979532,65519161,66340102,66653056,66680998,66893264,67388857,67554585,68482564,69968902,70298145,70606708,71404297,71641911,71664262,71711161,71820435,72002902,72021364,72058224,72454198,72469047,72782917,72792502,73468678,74031718,74127020,74550495,74984688,75044182,75254922,75977017,76167622,76608464,77513638,77668468,77849782,78047788,78124235,79520528,80422102,80422125,81065502,81740024,81958647,82269961,82429318,83542198,84098038,84357774,84617144,84764518,84875542,84928057,85208518,85783600,85955461,86184522,86272675,86428198,86760502,87092662,87417061,88751302,88952424,89161477,89178595,89192998,89460594,89751783,90318661,90736918,90769431,91957527,92057782,92475961,92827222,93046918,93749082,94473382,95021302,95194287,95740625,96102584,96459577,96506550,96741961,97984708,98149561,98409478,98478867,99968677,...,30217131225366392535662363771503427437724797657474273453527520643240015037705944593855375269862359771808292921857264549783576833129190894645157510405990630604859192891717917976976224960535218570741110237940316730650077491434904219293975111925823552415835658798768167627135209253682889665268235712805704861357801629158536722208955301292473251831455727927793423095221199062961049706834402529194305739114057956731552175109540679274288676522427729488192809735335659457360545396416582103384638446039969398548065476042370218452471525974081364479997706414007296940989482181508222078198711683123891021605377334080817057367809794996898378862726056459340117028414744860166190826671132059921739342208786479972957667729284327263302636471036531414014216364696926016052954186220852828932984750807615500232156072751121211250588877529980059240914182049632859177645259680656189964985939851119824751185134093978242460509367549937746777222354080916430052890571397480720755075282295370934185351359709324559059876102042554900076307348826446499627045072456313506497358223439454377764954515966868064730799661465718756642230971640144854350733856859452952411787412736375046030304276481126393078235807271782209067946869283649687335673248550105131717022656760260675141071728850836728272720664047373037816741054731342166363739888860883417971046295043650235965017218253471098484867051910782640179329578025668190457347964218295964802389350287334894804820274914466832455656551319540286755462181164739006816887893677155382981367005024511119060092145031199086895081470525729600808532715532484388767521287319694173821196766944890964917672723240254708204615587755132920135609255393712826966269899741501931133598778910639651850442676021700308181312720249386589024551508718581290387552782535432555536388551814589896101862818345234297390607048362665325322947769098685717996551233496079339013266659889237401621172463110544500057068451342665847252586041849088110521637084932257558645208617604173072557598017144851147737713534832443442794709460864105425941641144498202962517482775508974882270425523356005530978833826892377145047499486226758190518494005132635789350429805106562524412716437802181817283666192614045490908321953790134746692715680695074779598655954454677968555003222868742252466146047937089534711186297999515041147712274870001477177297158478495076123957877330802095122454782033077909897328656364907394318504399880202856705250574238001589749346760546639848953699291264422262404997409557987173444255768246009134376091865766556767621282104835076136967864302308211642764887000615159229825714353760060960944212340547328510861541696956279138851964411961494498797993127466569727237806443022128882711700687024438792310924165168588261318652636451406168524673156660584254035015115893239712688715954635007086949595572081635596635746394674602674900345360990090193471088569968242286054017576100534613555398201375924801006432096081180747504536013266341324799155150219352521779569815436241210830416833272287961288383882292825572814537639321664327518760283972972743366768117630602794294671223417643046401559647771008546751919504120574426409275769204817656992547952103246900537654354784932017478823915674592370253344417264843893902727608510126704758289749513406502731690529640410583934342572296049785505429712623834328960251101032536152737414048296779177306295587035210840307985372908406104210979541427874314023315099510842537290506946367332228378140850650502069882753663426000282900252490513822190891807885264255912079452775728181548515168549592315662190625851225478283652007980088760980080856963564746989866767487562240571146431340626397671775396554083491951255618330777733398278280751229789289291012208477463016231364791589754435485047996822074427349400674827559275065176261893528754629755121676753011187494519875147953800613988024663020044899403322748694245741115722220471810864060102663811041769242807864047293431187210825692610711363256869911977638369003956047979873322057540596264340726095221612186058624137303014316158007361981766298007663057495034306086543625263888276715710875109842974847081860052692475390829963445378011277770520608525676669051104649505817229442381567825775671688858370715308292857931082021154965024565566017393553893223627330593449015326479504899301904980280018692882012680669022566020217514104792915685878685732699706594882936944751353607849591826843773181812062751499004754813150245758775205537696600730926050807135033755112676740346594513475572279574296698124535468948364576863287954760279295307692251982680261901256042248853444851948810743673750038614309559131102127460439528530077116024028340681270921465801751025216383189939220441561452050731824132964032945747122524573467961304844259244367356826320543528115455647110064513220151374920264584343736877506188827114407238021392819439555771582694416206828278610482768024379490725326569088518713767128018250071571541601772572022639342663256802}
30663 2138111773260008637101197896776208747900772901058648660887134349255470766301791881544503: {61322,1011417,1501801,1562793,2113953,2145430,2574516,2664897,2788513,3064900,3677880,3923072,3983590,4074721,4137615,4413456,4719022,4780308,4965138,5177653,5821030,6149193,6741460,6985236,7291606,7565857,7613673,8089752,8762182,9100971,9259377,9442113,9807513,9863182,10416580,11997897,12012056,12499896,12803758,13513563,13538902,13820577,14062383,14090260,14828308,14913033,15276993,15431285,16087575,16908312,16909081,17160080,17458737,17640393,18517542,19021851,19151875,19274217,19305090,19854857,20592096,20749561,20906097,21268473,22028713,22303736,22729205,22911988,22982250,23166108,23440713,24155830,24514400,24525537,24706257,25091703,25459985,26126422,26692593,27140281,27275046,27564293,27578700,28495833,28986996,29017573,29095985,29417280,29642230,29693041,29871075,30551982,30656553,31378432,31469590,31555833,31862480,32095113,32591384,33071033,33094440,33352593,34539185,34792513,34915182,35300736,35326257,35385735,35570676,35845290,36375077,36401577,36665307,37231245,37323460,37744784,37763508,37959977,38012937,38234976,38527333,38771830,38924521,39713328,40694217,40873205,41408313,41413112,41447022,41496406,41943633,42125875,42418630,42462882,43014348,43201942,43370097,43649175,44438937,44677494,44788152,45151017,46232741,46526196,46559120,46589751,47107257,47189585,47284953,48090485,48774481,48883137,49047846,49106662,49415433,49703590,50302113,50386671,50539636,50551050,50833833,50902356,51365337,51542457,52379010,52542455,53921120,54196377,54676335,55256433,55550441,55870944,56445142,56536873,56627502,56844897,57708582,58255233,58321424,58333313,58531606,58873205,59280580,59644308,60661260,60895473,61717060,62236213,62854812,63003777,63050946,64705344,65090875,65200102,65611602,65703495,65809473,66334857,66684993,67032406,69155017,69580462,69604085,69654406,69677830,70083728,70180342,70530153,70647846,70713526,70942097,71055461,71136696,71402433,71522521,71693557,72199480,72448377,72793512,73637521,73667553,74015673,74040001,74060472,74824297,75060650,75755761,76623513,77248901,77833371,78109050,78506885,78844194,80028783,80156257,80957913,81224415,81892701,81995937,82523653,83316320,83318031,83524902,83551353,83613396,83616580,84089761,84314308,84734561,85603205,85799062,85834613,86547526,86639376,87000873,87484417,87915377,88023193,88205937,88207873,88258385,88722033,90026705,90072780,90612537,91605913,91642497,91923617,92658775,92711081,93185817,93730860,94208262,94213617,95005582,95522548,95760580,96077632,96383086,96437553,96625396,96697006,96779337,96950193,97085585,97469298,97479097,97559735,99400660,99510153,99979584,...,45325696838049588803493545657255141156587196486211410180291280964860022556558916890783062904793539657712439382785896824675365249693786341967736265608985945907288789337576876965464337440802827856111665356910475095975116237152356328940962667888735328623753488198152251440702813880524334497902353569208557292036702443737805083313432951938709877747183591891690134642831798594441574560251603793791458608671086935097328262664311018911433014783641594232289214603003489186040818094624873155076957669059954097822098214063555327678707288961122046719996559621010945411484223272262333117298067524685836532408066001121225586051714692495347568294089084689010175542622117290249286240006698089882609013313179719959436501593926490894953954706554797121021324547045389024079431279331279243399477126211423250348234109126681816875883316294970088861371273074449288766467889520984284947478909776679737126777701140967363690764051324906620165833531121374645079335857096221081132612923443056401278027039563986838589814153063832350114461023239669749440567608684470259746037335159181566647431773950302097096199492198578134963346457460217281526100785289179428617681119104562569045456414721689589617353710907673313601920303925474531003509872825157697575533985140391012711607593276255092409080996071059556725111582097013249545609833291325126956569442565475353947525827380206647727300577866173960268994367038502285686021946327443947203584025431002342207230412371700248683484826979310430133193271747108510225331840515733074472050507536766678590138217546798630342622205788594401212799073298726583151281930979541260731795150417336447376509084860382062306923381632699380203413883090569240449404849612252896700398168365959477775664014032550462271969080374079883536827263077871935581329173803148833304582827721884844152794227517851446085910572543997987984421653648028576994826850244119008519899989833856102431758694665816750085602677013998770878879062773632165782455627398386337967812926406259608836397025717276721606570302248665164192064191296158138912461716747304443776224163263462323405638285034008296468250740338565717571249229340137285777741007698953684025644707659843786619074656703272725925499288921068236362482930685202120039073521042612169397983931682016952832504834303113378699219071905634302066779446999272561721568412305002215765945737717742614185936815996203142683682173049616864845992984547361091477756599820304285057875861357002384624020140819959773430548936896633393607496114336980760166383652369013701564137798649835151431923157252614205451796453462317464147330500922738844738571530640091441416318510820992766292312545434418708277946617942241748196989691199854590856709664533193324067551030536658188466386247752882391977978954677109252787009734990876381052522673839859569033073931952510630424393358122453394953619592011904012350518041485135290206632854952363429081026364150801920333097302063887201509648144121771121256804019899511987198732725329028782669354723154361816245625249908431941932575823439238359221806458982496491278140425959459115050152176445904191442006835126464569602339471656512820127879256180861639613913653807226485488821928154870350806481532177398026218235873511888555380016625897265840854091412765190057137434624270109754097535794460615875901513858444074678258144568935751493440376651548804229106121072445168765959443380552816260461978059362609156316469312141811471034972649266263805935760419550998342567211275975753104824130495139000424350378735770733286337711827896383868119179163592272322772752824388473493285938776838217425478011970133141470121285445347120484800151231343360856719647010939596507663094831125237926883427496166600097417421126844683933936518312716194524347047187384631653227571995233111641024101012241338912597764392840293131944632682515129516781241779812721930700920982036994530067349104984123041368611673583330707716296090153995716562653864211796070940146780816238538916067044885304867966457553505934071969809983086310894396511089142832418279087936205954521474237011042972649447011494586242551459129815437895832415073566312664764462270622790079038713086244945168067016916655780912788515003576656974258725844163572351738663507533287556072962439286896623031732447536848349026090330839835440995890173522989719257348952857470420028039323019021003533849030326271157189373528818028599049559892324405417127030411774387740265659772718094127248507132219725368638162808306544901096389076210702550632669015110519891770213358419361445047186803203422546865294931932140418942961538377974020392851884063373280167277923216115510625057921464338696653191190659292795115674036042511021906382198702626537824574784908830662342178076097736199446049418620683786860201941957266388866551035239480815292173183470665096769830227062380396876515605316259283240671610857032089229159333657374041624310242417915724152036569236087989853632778070650692027375107357312402658858033959013994885203}
30664 2144682398940950009218713956861078342788719757539217059815593167321396739076487218538375: {91983,796874,1164434,1348556,1899122,2083724,2172103,2818604,3218145,3269599,3432688,3553196,3831125,3861774,4597350,4903840,5092999,5274943,5516820,5884608,5975385,6001999,6295154,6373744,6620184,6660554,7078533,7090423,7170462,7447707,8198924,8426825,8731545,9313648,9619999,10112190,10151564,10477854,10510549,10786336,10937409,11761034,12134628,12345836,12589484,13020725,13076684,13143273,13923583,14101999,14794773,15015070,15170983,15624870,15997196,16471922,16666528,17612825,17832103,18018084,18427436,18535385,18538999,18749844,19205637,19515769,19597183,19884044,20308353,20369324,21135390,21158474,21450100,22231303,22242462,22544416,23278316,23520524,23803999,24675199,24690056,24746954,25362468,25462922,25698956,25740120,26535794,27104983,27456128,27776313,27874796,27879670,27969343,28141999,28357964,28517461,28639985,28957635,30551623,30643000,30888144,31254284,31525394,32264143,32434999,32700716,32941676,33026686,33455604,34309663,34363922,34367982,34473375,34749162,34819423,35590124,36233745,36236473,36366728,36771600,37527199,37994444,38201263,38649328,39189633,39223040,39828100,39881383,40048999,40365194,40735976,40739230,40769861,40875404,40912569,41368050,41888023,42074444,42793484,43480494,44050183,44125920,44463345,44470124,45827973,46529863,46553576,46654325,47067648,47101676,47180980,47204385,47427568,47517199,47793720,48418322,48535436,48887076,49463114,49641660,50351344,50683916,50979968,51031246,51201554,51766390,52372773,52951104,53224999,53356014,53767935,53871703,54258956,55000663,55211084,55262696,55924844,55985190,56617176,56645262,57352464,57407983,57826796,58157745,58198900,58807922,59251916,59569992,59717536,60201356,60526922,61213514,61323262,62034928,62119668,62170533,62242322,62244609,62809676,62927474,63046604,63174545,63627945,63694323,64521522,64637834,64802913,65177516,65397128,65887244,66719599,67016241,67069484,67182228,67341823,67401400,67778444,67869808,68487116,68723276,69789294,69838680,72261836,72901780,73571769,73659993,73675244,73805623,74100725,74494592,74555385,74566663,75161714,75503336,75780583,75793196,75809454,75826575,76353534,76944776,77146325,77673644,78568515,78945199,79525744,79544383,80440999,80881680,81186199,81193964,82078063,83263183,83806416,84005036,84067928,84667713,84881354,84941253,85032223,85879922,86273792,86352199,86544914,86562873,86877194,87482136,87604660,87745964,87797409,88446476,88913324,88920870,89199122,89264599,89466462,90249350,90991890,92575590,94040204,94197128,94282218,94291999,94576419,94848928,95203244,96419599,96597836,97058016,97800153,98223404,98417403,98687564,98747296,99091303,99231199,...,60434262450732785071324727543006854875449595314948546907055041286480030075411889187710750539724719543616585843714529099567153666258381789290315020811981261209718385783435835953952449921070437141482220475880633461300154982869808438587950223851647104831671317597536335254270418507365779330536471425611409722715603258317073444417910602584946503662911455855586846190442398125922099413668805058388611478228115913463104350219081358548577353044855458976385619470671318914721090792833164206769276892079938797096130952084740436904943051948162728959995412828014593881978964363016444156397423366247782043210754668161634114735619589993796757725452112918680234056829489720332381653342264119843478684417572959945915335458568654526605272942073062828028432729393852032105908372441705657865969501615231000464312145502242422501177755059960118481828364099265718355290519361312379929971879702239649502370268187956484921018735099875493554444708161832860105781142794961441510150564590741868370702719418649118119752204085109800152614697652892999254090144912627012994716446878908755529909031933736129461599322931437513284461943280289708701467713718905904823574825472750092060608552962252786156471614543564418135893738567299374671346497100210263434045313520521350282143457701673456545441328094746075633482109462684332727479777721766835942092590087300471930034436506942196969734103821565280358659156051336380914695928436591929604778700574669789609640549828933664911313102639080573510924362329478013633775787354310765962734010049022238120184290062398173790162941051459201617065431064968777535042574639388347642393533889781929835345446480509416409231175510265840271218510787425653932539799483003862267197557821279303700885352043400616362625440498773178049103017437162580775105565070865111072777103629179792203725636690468594781214096725330650645895538197371435993102466992158678026533319778474803242344926221089000114136902685331694505172083698176221043274169864515117290417235208346145115196034289702295475427069664886885589418921728210851883282288996405925034965551017949764540851046712011061957667653784754290094998972453516381036988010265271578700859610213125048825432875604363634567332385228090981816643907580269493385431361390149559197311908909355937110006445737484504932292095874179069422372595999030082295424549740002954354594316956990152247915754661604190244909564066155819794657312729814788637008799760405713410501148476003179498693521093279697907398582528844524809994819115974346888511536492018268752183731533113535242564209670152273935728604616423285529774001230318459651428707520121921888424681094657021723083393912558277703928823922988997595986254933139454475612886044257765423401374048877584621848330337176522637305272902812337049346313321168508070030231786479425377431909270014173899191144163271193271492789349205349800690721980180386942177139936484572108035152201069227110796402751849602012864192162361495009072026532682649598310300438705043559139630872482421660833666544575922576767764585651145629075278643328655037520567945945486733536235261205588589342446835286092803119295542017093503839008241148852818551538409635313985095904206493801075308709569864034957647831349184740506688834529687787805455217020253409516579499026813005463381059280821167868685144592099571010859425247668657920502202065072305474828096593558354612591174070421680615970745816812208421959082855748628046630199021685074581013892734664456756281701301004139765507326852000565800504981027644381783615770528511824158905551456363097030337099184631324381251702450956567304015960177521960161713927129493979733534975124481142292862681252795343550793108166983902511236661555466796556561502459578578582024416954926032462729583179508870970095993644148854698801349655118550130352523787057509259510243353506022374989039750295907601227976049326040089798806645497388491482231444440943621728120205327622083538485615728094586862374421651385221422726513739823955276738007912095959746644115081192528681452190443224372117248274606028632316014723963532596015326114990068612173087250527776553431421750219685949694163720105384950781659926890756022555541041217051353338102209299011634458884763135651551343377716741430616585715862164042309930049131132034787107786447254661186898030652959009798603809960560037385764025361338045132040435028209585831371757371465399413189765873889502707215699183653687546363624125502998009509626300491517550411075393201461852101614270067510225353480693189026951144559148593396249070937896729153726575909520558590615384503965360523802512084497706889703897621487347500077228619118262204254920879057060154232048056681362541842931603502050432766379878440883122904101463648265928065891494245049146935922609688518488734713652641087056230911294220129026440302749840529168687473755012377654228814476042785638879111543165388832413656557220965536048758981450653138177037427534256036500143143083203545144045278685326513604}
30665 2151273100300600436479386682097043783504580205913920752913711929056091388854574545325532: {122644,1195311,1685695,1746651,2022834,2604655,2848683,3003602,3125586,3523255,3707803,4227906,4290860,4441495,5149032,5329794,5577026,5729119,5792661,6129800,6896025,7355760,7749643,7846144,7967180,8149442,8275230,8826912,8852359,9438044,9442731,9560616,9930276,9990831,10248655,10355306,10755693,11642060,12298386,12689455,13482920,13970472,14583212,15131714,15168285,15227346,15432295,15716781,15736855,16179504,16345855,17524364,17641551,18201942,18518754,18884226,19615026,19726364,19996495,20527903,20833160,21603799,22522605,23034295,23437305,23464831,23995794,24024112,24707883,24855055,24999792,25461655,25607516,26812625,27027126,27077804,27641154,28124766,28180520,29097895,29400655,29656616,29826066,30553986,30807151,30862570,31703085,31737711,31820887,32123695,32175150,32604319,33363693,33816624,33818162,33944383,34320160,34843495,34917474,35280786,35447455,35643979,36906439,37035084,37120431,38043702,38149471,38194383,38303750,38548434,38610180,38883703,39067855,39709714,39803691,40734379,40875895,41177095,41184192,41499122,41812194,41819505,42536946,44057426,44487655,44607472,44861791,45458410,45823976,45964500,45989119,46235767,46332216,46881426,47288091,47493055,48311660,48354859,49028800,49051074,49412514,49540029,49785125,50183406,50919970,51094255,51545883,51551973,51671887,52123743,52252844,52317247,52593055,52668319,53385186,53491855,54280562,54550092,54670363,55128586,55157400,55587655,56588767,56991666,57222487,57973992,58035146,58191970,58337131,58834560,58877095,58921879,58976225,59284460,59386082,59742150,60547791,60669295,61103964,61108845,61313106,62052075,62085787,62541991,62756864,62939180,63111666,63354895,63724960,64190226,65182768,65220741,66065419,66142066,66188880,66705186,67326679,67823695,67961359,69013855,69078370,69585026,69830364,69906055,70006087,70601472,70652514,70771470,71141352,71690580,72092767,72283495,72346891,72627483,72748625,72750154,72803154,73330614,73541071,73559437,74064895,74194671,74462490,74646920,74647243,75251695,75489568,75527016,75919954,75976219,76025874,76469952,76546869,76802331,77054666,77543660,77649585,77849042,78285799,78512095,78808255,79344871,79414927,79426656,80034021,80273239,81380479,81388434,81471895,81746410,82359055,82422487,82816626,82826224,82894044,82992812,83836855,83887266,83940079,83942683,83977785,84251750,84723055,84740107,84837260,84925764,84967893,85608895,85840231,85904095,85906207,86028696,86337007,86403884,86740194,87298350,87606919,87921163,88211883,88877874,88939783,89354988,89576304,90302034,90327295,90790383,91127225,91820271,91984893,92094055,92465482,92717167,93052392,93118240,93179502,93363483,93746959,94214514,94379170,94391211,94569906,94731487,94741495,95539231,96180970,96782283,96956751,97092055,97445719,97548962,97766274,98095692,98213324,98830866,99407180,...,90651393676099177606987091314510282313174392972422820360582561929720045113117833781566125809587079315424878765571793649350730499387572683935472531217971891814577578675153753930928674881605655712223330713820950191950232474304712657881925335777470657247506976396304502881405627761048668995804707138417114584073404887475610166626865903877419755494367183783380269285663597188883149120503207587582917217342173870194656525328622037822866029567283188464578429206006978372081636189249746310153915338119908195644196428127110655357414577922244093439993119242021890822968446544524666234596135049371673064816132002242451172103429384990695136588178169378020351085244234580498572480013396179765218026626359439918873003187852981789907909413109594242042649094090778048158862558662558486798954252422846500696468218253363633751766632589940177722742546148898577532935779041968569894957819553359474253555402281934727381528102649813240331667062242749290158671714192442162265225846886112802556054079127973677179628306127664700228922046479339498881135217368940519492074670318363133294863547900604194192398984397156269926692914920434563052201570578358857235362238209125138090912829443379179234707421815346627203840607850949062007019745650315395151067970280782025423215186552510184818161992142119113450223164194026499091219666582650253913138885130950707895051654760413295454601155732347920537988734077004571372043892654887894407168050862004684414460824743400497366969653958620860266386543494217020450663681031466148944101015073533357180276435093597260685244411577188802425598146597453166302563861959082521463590300834672894753018169720764124613846763265398760406827766181138480898809699224505793400796336731918955551328028065100924543938160748159767073654526155743871162658347606297666609165655443769688305588455035702892171821145087995975968843307296057153989653700488238017039799979667712204863517389331633500171205354027997541757758125547264331564911254796772675935625852812519217672794051434553443213140604497330328384128382592316277824923433494608887552448326526924646811276570068016592936501480677131435142498458680274571555482015397907368051289415319687573238149313406545451850998577842136472724965861370404240078147042085224338795967863364033905665009668606226757398438143811268604133558893998545123443136824610004431531891475435485228371873631992406285367364346099233729691985969094722182955513199640608570115751722714004769248040281639919546861097873793266787214992228673961520332767304738027403128275597299670302863846314505228410903592906924634928294661001845477689477143061280182882832637021641985532584625090868837416555893235884483496393979382399709181713419329066386648135102061073316376932772495505764783955957909354218505574019469981752762105045347679719138066147863905021260848786716244906789907239184023808024701036082970270580413265709904726858162052728301603840666194604127774403019296288243542242513608039799023974397465450658057565338709446308723632491250499816863883865151646878476718443612917964992982556280851918918230100304352891808382884013670252929139204678943313025640255758512361723279227827307614452970977643856309740701612963064354796052436471747023777110760033251794531681708182825530380114274869248540219508195071588921231751803027716888149356516289137871502986880753303097608458212242144890337531918886761105632520923956118725218312632938624283622942069945298532527611871520839101996685134422551951506209648260990278000848700757471541466572675423655792767736238358327184544645545505648776946986571877553676434850956023940266282940242570890694240969600302462686721713439294021879193015326189662250475853766854992333200194834842253689367867873036625432389048694094374769263306455143990466223282048202024482677825195528785680586263889265365030259033562483559625443861401841964073989060134698209968246082737223347166661415432592180307991433125307728423592141880293561632477077832134089770609735932915107011868143939619966172621788793022178285664836558175872411909042948474022085945298894022989172485102918259630875791664830147132625329528924541245580158077426172489890336134033833311561825577030007153313948517451688327144703477327015066575112145924878573793246063464895073696698052180661679670881991780347045979438514697905714940840056078646038042007067698060652542314378747057636057198099119784648810834254060823548775480531319545436188254497014264439450737276325616613089802192778152421405101265338030221039783540426716838722890094373606406845093730589863864280837885923076755948040785703768126746560334555846432231021250115842928677393306382381318585590231348072085022043812764397405253075649149569817661324684356152195472398892098837241367573720403883914532777733102070478961630584346366941330193539660454124760793753031210632518566481343221714064178458318667314748083248620484835831448304073138472175979707265556141301384054750214714624805317716067918027989770406}
30666 2157883938323383945267434507582299545065112208715813655661055428236026518871787242900367: {153305,183966,521033,704789,888473,1593748,2233289,2328868,2697112,2721353,3034251,3269813,3330713,3452489,3798244,3878453,4167448,4182473,4344206,4505403,4547033,4688379,4789913,5275289,5363575,5637208,6002393,6062933,6341859,6436290,6539198,6865376,7106392,7272053,7662250,7723548,7994691,7995989,8365539,8417753,9194700,9807680,9958975,10185998,10520693,10549886,10700489,10880213,11033640,11299289,11769216,11797555,11950770,12003998,12016793,12224163,12412845,12590308,12747488,13240368,13321108,13388789,13983989,14157066,14180846,14340924,14459573,14552575,14895414,15532959,16397848,16475093,16770713,16853650,16947989,17125193,17361353,17463090,18229015,18245813,18447579,18599093,18627296,19239998,19598489,20224380,20302553,20303128,20478389,20955708,21021098,21531893,21572672,21874818,21905455,22116053,22697571,22841019,23514773,23522068,24269256,24657955,24691672,24734873,25178968,25719989,25949539,26041450,26124953,26153368,26286546,26991413,27302913,27778131,27847166,28203998,28326339,29178389,29422539,29579993,29589546,30030140,30341966,30610889,31249740,31994392,32009395,32323289,32437193,32943844,33333056,33347273,33847255,35161289,35225650,35664206,35726489,35993691,36008789,36036168,36178073,36403673,36854872,37070770,37077998,37499688,37529753,37585973,37698389,38259989,38411274,38708693,38932853,39031538,39194366,39768088,40095979,40540689,40616706,40738648,41461731,41612789,42187149,42270780,42316948,42613013,42900200,43389173,43555289,43721333,44462606,44484924,44739099,44936789,45088832,45830979,46293855,46556632,46697813,47041048,47607998,48067913,48182563,48262725,49350398,49380112,49493908,50140889,50724936,50727243,50925844,51397912,51480240,51606773,52376211,52580789,52921179,53071588,53929289,54036953,54209966,54843413,54912256,55004489,55552626,55749592,55759340,55938686,56283998,56715928,56771573,57034922,57065553,57251993,57279970,57411989,57455625,57785033,57822651,57915270,58370453,59007989,59167193,59564571,59644373,60389575,60755273,61103246,61286000,61388489,61776288,62248683,62508568,62703989,62718291,63050788,63595673,63805419,64528286,64537289,64869998,65316055,65401432,65883352,66053372,66086139,66464693,66724313,66911208,67242953,67398389,67553753,68187615,68619326,68727844,68735964,68794073,68946750,69051893,69498324,69638846,70322139,70491989,71180248,71516789,71874713,72436373,72467490,72472946,72733456,73200713,73543200,73576611,74105575,74118771,74166293,75054398,75078389,75275109,75482933,75836489,75987893,75988888,76379955,76402526,76743833,77298656,78379266,78446080,78500693,78673975,79100789,79450313,79656200,79762766,80077779,80097998,80197973,80595989,80730388,80943833,81192053,81420843,81471952,81478460,81539722,81750808,81825138,82232393,82692879,82736100,83466293,83776046,84148888,84204233,85038389,85487499,85586968,86358473,86960988,87052719,87287955,87575573,88100366,88109513,88251840,88303433,88444363,88594073,88926690,88940248,89079123,89271113,89319413,89613225,90283733,91004873,91655946,91969659,92441753,92871413,93014489,93059726,93107152,93308650,94135296,94203352,94346393,94361960,94408770,94667499,94855136,95034398,95587440,96002453,96285339,96426713,96473813,96836644,96929575,97070872,97273289,97601813,97774152,97976789,98926228,99145289,99213099,99283320,...,135977090514148766410480636971765423469761589458634230540873842894580067669676750672349188714380618973137318148357690474026095749081359025903208796826957837721866368012730630896393012322408483568334996070731425287925348711457068986822888003666205985871260464594456754322108441641573003493707060707625671876110107331213415249940298855816129633241550775675070403928495395783324723680754811381374375826013260805291984787992933056734299044350924782696867643809010467558122454283874619465230873007179862293466294642190665983036121866883366140159989678863032836234452669816786999351894202574057509597224198003363676758155144077486042704882267254067030526627866351870747858720020094269647827039939539159878309504781779472684861864119664391363063973641136167072238293837993837730198431378634269751044702327380045450627649948884910266584113819223347866299403668562952854842436729330039211380333103422902091072292153974719860497500593364123935238007571288663243397838770329169203834081118691960515769442459191497050343383069719009248321702826053410779238112005477544699942295321850906291288598476595734404890039372380651844578302355867538285853043357313687707136369244165068768852061132723019940805760911776423593010529618475473092726601955421173038134822779828765277227242988213178670175334746291039748636829499873975380869708327696426061842577482140619943181901733598521880806983101115506857058065838982331841610752076293007026621691237115100746050454480937931290399579815241325530675995521547199223416151522610300035770414652640395891027866617365783203638397219896179749453845792938623782195385451252009342129527254581146186920770144898098140610241649271707721348214548836758690101194505097878433326992042097651386815907241122239650610481789233615806743987521409446499913748483165654532458382682553554338257731717631993963953264960944085730984480550732357025559699969501568307295276083997450250256808031041996312636637188320896497347366882195159013903438779218778826509191077151830164819710906745995492576192573888474416737385150241913331328672489790386970216914855102024889404752221015697152713747688020411857333223023096861052076934122979531359857223970109818177776497866763204709087448792055606360117220563127836508193951795046050858497514502909340136097657215716902906200338340997817685164705236915006647297837213153227842557810447988609428051046519148850594537978953642083274433269799460912855173627584071007153872060422459879320291646810689900180822488343010942280499150957107041104692413395949505454295769471757842616355389360386952392441991502768216534215714591920274324248955532462978298876937636303256124833839853826725244590969073599563772570128993599579972202653091609974565399158743258647175933936864031327758361029204972629143157568021519578707099221795857531891273180074367360184860858776035712037051554124455405870619898564857090287243079092452405760999291906191661604528944432365313363770412059698535961596198175987086348008064169463085448736875749725295825797727470317715077665419376947489473834421277878377345150456529337712574326020505379393708807018414969538460383637768542584918841740961421679456466465784464611052419444596532194078654707620535665666140049877691797522562274238295570171412303872810329262292607383381847627704541575332224034774433706807254480321129954646412687318363217335506297878330141658448781385934178087827468949407936425434413104917947798791417807281258652995027701633827927259314472391485417001273051136207312199859013135483689151604357537490776816968318258473165420479857816330514652276434035910399424410363856336041361454400453694030082570158941032818789522989284493375713780650282488499800292252263380534051801809554938148583573041141562153894959682715985699334923072303036724016737793293178520879395833898047545388550343725339438165792102762946110983590202047314952369124105835020749992123148888270461987149687961592635388212820440342448715616748201134655914603899372660517802215909429949258932683189533267428497254837263808617863564422711033128917948341034483758727654377389446313687497245220698937994293386811868370237116139258734835504201050749967342738365545010729970922776177532490717055215990522599862668218887317860689869095197342610545047078270992519506322987670520568969157772046858572411260084117969057063010601547090978813471568120586454085797148679676973216251381091235323163220796979318154282381745521396659176105914488424919634703289167228632107651898007045331559675310640075258084335141560409610267640595884795796421256828884615133922061178555652190119840501833769648346531875173764393016089959573571977878385347022108127533065719146596107879613473724354726491987026534228293208598338148255862051360580605825871799166599653105718442445876519550411995290309490681187141190629546815948777849722014832571096267687478000972122124872930727253747172456109707708263969560898334211952076082125322071937207976574101877041984655609}
30667 2164514974177908119747679667575953652615530652343061378676713790119033494329326487788075: {245288,275949,1992185,2359973,2390622,2911085,3371390,3493302,3646517,4045668,4381949,4747805,4932557,5209310,5697366,6007204,6218093,6251172,6403133,6516309,6770777,7046510,7415606,8455812,8581720,8882990,9158669,9654435,9808797,9893813,10298064,10659588,11154052,11458238,11493375,11585322,12259600,13792050,14348117,14711520,15278997,15499286,15692288,15737885,15824829,15934360,16298884,16550460,16651385,17653824,17704718,17765237,17926155,18005997,18876088,18885462,19121232,19860552,19981662,20497310,20710612,21235599,21271269,21511386,21605213,22031597,22343121,22884197,23284120,24260249,24596772,25280475,25378910,26194635,26571413,26965840,27940944,27995093,28859997,29166424,29402585,30263428,30336570,30454692,30864590,31433562,31473710,31531647,32248013,32359008,32606453,32691710,32812227,34616549,34797077,35048728,35283102,35646317,36403884,37037508,37537675,37768452,37946057,38532377,39062175,39230052,39429819,39452728,39992990,40116089,40737053,40780469,41055806,41160917,41179805,41248373,41666320,41770749,41881817,42305997,42649013,43207598,44384319,44973173,45045210,45512949,46068590,46660493,46874610,46929662,47119157,47991588,48048224,48780893,49415766,49626437,49710110,49999584,50381897,50923310,51215032,51675269,52838475,52896185,53496309,53625250,54054252,54090713,54155608,54350777,54673949,54694997,55282308,55606155,55616997,55925333,56249532,56361040,57226253,57616911,57647933,58195790,58547307,58791549,58801310,59313232,59652132,59961497,60925059,61107972,61614302,61725140,61796117,61867385,62244377,62282717,63246269,63406170,63475422,63641774,63657305,64247390,64350300,64610429,65208638,66339485,66490277,66693909,66727386,67633248,67636324,67888766,68640320,69686990,69699175,69834948,70010669,70561572,70894910,71287958,71411997,71531957,73630277,73812878,74025597,74070168,74240862,74834093,74888597,75956813,76087404,76298942,76388766,76607500,76645613,77096868,77220360,77767406,77822717,78135710,78612869,78813485,79419428,79607382,80278493,80574269,81314949,81385817,81468758,81751790,82354190,82368384,82427933,82534457,82566715,82998244,83328939,83624388,83639010,83908029,83945573,84425997,84937013,85073892,85552383,85909805,85919955,86872905,87495893,87612653,88034717,88114852,88219469,88696853,88975310,89140157,89214944,89723582,89790077,90916820,90954653,91445129,91647952,91654869,91830773,91929000,91978238,92471534,92664432,93278309,93753113,93762852,94576182,94953173,94986110,96211397,96502169,96619397,96623320,96709718,96792429,97304997,97868477,98057600,98102148,98777849,98825028,99080058,99204989,99570250,...,181302787352198355213974182629020564626348785944845640721165123859440090226235667563132251619174158630849757531143587298701460998775145367870945062435943783629155157350307507861857349763211311424446661427641900383900464948609425315763850671554941314495013952792609005762811255522097337991609414276834229168146809774951220333253731807754839510988734367566760538571327194377766298241006415175165834434684347740389313050657244075645732059134566376929156858412013956744163272378499492620307830676239816391288392856254221310714829155844488186879986238484043781645936893089049332469192270098743346129632264004484902344206858769981390273176356338756040702170488469160997144960026792359530436053252718879837746006375705963579815818826219188484085298188181556096317725117325116973597908504845693001392936436506727267503533265179880355445485092297797155065871558083937139789915639106718948507110804563869454763056205299626480663334124485498580317343428384884324530451693772225605112108158255947354359256612255329400457844092958678997762270434737881038984149340636726266589727095801208388384797968794312539853385829840869126104403141156717714470724476418250276181825658886758358469414843630693254407681215701898124014039491300630790302135940561564050846430373105020369636323984284238226900446328388052998182439333165300507826277770261901415790103309520826590909202311464695841075977468154009142744087785309775788814336101724009368828921649486800994733939307917241720532773086988434040901327362062932297888202030147066714360552870187194521370488823154377604851196293194906332605127723918165042927180601669345789506036339441528249227693526530797520813655532362276961797619398449011586801592673463837911102656056130201849087876321496319534147309052311487742325316695212595333218331310887539376611176910071405784343642290175991951937686614592114307979307400976476034079599959335424409727034778663267000342410708055995083515516251094528663129822509593545351871251705625038435345588102869106886426281208994660656768256765184632555649846866989217775104896653053849293622553140136033185873002961354262870284996917360549143110964030795814736102578830639375146476298626813090903701997155684272945449931722740808480156294084170448677591935726728067811330019337212453514796876287622537208267117787997090246886273649220008863063782950870970456743747263984812570734728692198467459383971938189444365911026399281217140231503445428009538496080563279839093722195747586533574429984457347923040665534609476054806256551194599340605727692629010456821807185813849269856589322003690955378954286122560365765665274043283971065169250181737674833111786471768966992787958764799418363426838658132773296270204122146632753865544991011529567911915818708437011148038939963505524210090695359438276132295727810042521697573432489813579814478368047616049402072165940541160826531419809453716324105456603207681332389208255548806038592576487084485027216079598047948794930901316115130677418892617447264982500999633727767730303293756953436887225835929985965112561703837836460200608705783616765768027340505858278409357886626051280511517024723446558455654615228905941955287712619481403225926128709592104872943494047554221520066503589063363416365651060760228549738497080439016390143177842463503606055433776298713032578275743005973761506606195216916424484289780675063837773522211265041847912237450436625265877248567245884139890597065055223743041678203993370268845103903012419296521980556001697401514943082933145350847311585535472476716654369089291091011297553893973143755107352869701912047880532565880485141781388481939200604925373443426878588043758386030652379324500951707533709984666400389669684507378735735746073250864778097388188749538526612910287980932446564096404048965355650391057571361172527778530730060518067124967119250887722803683928147978120269396419936492165474446694333322830865184360615982866250615456847184283760587123264954155664268179541219471865830214023736287879239932345243577586044356571329673116351744823818085896948044171890597788045978344970205836519261751583329660294265250659057849082491160316154852344979780672268067666623123651154060014306627897034903376654289406954654030133150224291849757147586492126929790147393396104361323359341763983560694091958877029395811429881680112157292076084014135396121305084628757494115272114396198239569297621668508121647097550961062639090872376508994028528878901474552651233226179604385556304842810202530676060442079567080853433677445780188747212813690187461179727728561675771846153511896081571407536253493120669111692864462042500231685857354786612764762637171180462696144170044087625528794810506151298299139635322649368712304390944797784197674482735147440807767829065555466204140957923261168692733882660387079320908249521587506062421265037132962686443428128356916637334629496166497240969671662896608146276944351959414531112282602768109500429429249610635432135836055979540812}
30668 2171166269217517151567010396449002861972546114990915679485467760943135531302426752919645: {214627,306610,367932,582331,949747,1042066,1133347,1409578,1776946,3187496,3330931,3585933,4243531,4466578,4608067,4657736,5057085,5239953,5394224,5442706,6063331,6068502,6539626,6661426,6904978,7332907,7509005,7596488,7756906,7813965,8334896,8364946,8418307,8546049,8688412,9010806,9094066,9376758,9579826,10550578,10569765,10581331,10727150,11123409,11274416,12004786,12017587,12125866,12375931,12683718,12872580,13078396,13324485,13730752,13806427,13942565,14212784,14544106,14698147,15054331,15324500,15447096,15989382,15991978,16516577,16731078,16835506,17185387,17187357,17362507,17377983,18389400,19615360,19917950,20371996,20373605,20688075,21041386,21099772,21240931,21400978,21760426,22067280,22467667,22598578,23248929,23516347,23538432,23595110,23901540,24007996,24033586,24448326,24825690,25180616,25494976,25520621,25888265,26480736,26557077,26642216,26777578,26993227,27967978,28314132,28328193,28361692,28681848,28919146,29105150,29581987,29790828,29972493,30667637,30745965,30784531,31065918,31641331,32154547,32267079,32795696,32950186,33541426,33707300,33895978,34250386,34521137,34722706,34926180,36236947,36458030,36491626,36895158,37198186,37254592,37588531,37829285,38068365,38479996,38767387,39196978,40445347,40448760,40605106,40606256,40947331,40956778,41911416,42042196,42282787,42615931,43063786,43145344,43447531,43749636,43810910,44232106,44608747,44813153,45395142,45504855,45601267,45682038,46296885,46755931,47029546,47044136,47150343,47210565,47386157,48538512,49037565,49315910,49383344,49469746,50357936,50361907,50524987,50850931,51439978,51664531,51899078,51989467,52082900,52249906,52306736,52573092,52800547,52924653,53609827,53982826,54094531,54605826,55556262,55694332,56407996,56652678,56943029,57309331,57629227,58356778,58845078,59159986,59179092,59701531,59989485,60060280,60683932,60812347,61221778,61583709,62499480,63180787,63652531,63988784,64018790,64646578,64750747,64811397,64874386,65887688,66666112,66694546,67092187,67558531,67567815,67694510,69102885,69571867,70311915,70322578,70394493,70451300,71328412,71452978,71879827,71987382,72017578,72072336,72356146,72807346,73409467,73709744,74123649,74141540,74155996,74565165,74779987,74999376,75059506,75171946,75396778,75690427,76384965,76519978,76749331,76822548,77156425,77202067,77417386,77865706,78063076,78388732,79306267,79536176,80191958,80437875,80949667,81081378,81233412,81477296,82287787,82923462,83225578,83915347,84374298,84541560,84545405,84633896,85226026,85800400,86778346,87110578,87293685,87436147,87442666,87581947,88201965,88925212,88969848,89325931,89478198,89615587,89873578,90177664,90338467,90482827,91059547,91442477,91661958,92421453,92496307,92587710,93113264,93395626,94068427,94082096,95109255,95213133,95215996,95462661,95759375,96056707,96135826,96365126,96371085,96480931,96525450,97609027,97812957,98311747,98700796,98760224,98987816,99274285,99990931,...,271954181028297532820961273943530846939523178917268461081747685789160135339353501344698377428761237946274636296715380948052191498162718051806417593653915675443732736025461261792786024644816967136669992141462850575850697422914137973645776007332411971742520929188913508644216883283146006987414121415251343752220214662426830499880597711632259266483101551350140807856990791566649447361509622762748751652026521610583969575985866113468598088701849565393735287618020935116244908567749238930461746014359724586932589284381331966072243733766732280319979357726065672468905339633573998703788405148115019194448396006727353516310288154972085409764534508134061053255732703741495717440040188539295654079879078319756619009563558945369723728239328782726127947282272334144476587675987675460396862757268539502089404654760090901255299897769820533168227638446695732598807337125905709684873458660078422760666206845804182144584307949439720995001186728247870476015142577326486795677540658338407668162237383921031538884918382994100686766139438018496643405652106821558476224010955089399884590643701812582577196953191468809780078744761303689156604711735076571706086714627375414272738488330137537704122265446039881611521823552847186021059236950946185453203910842346076269645559657530554454485976426357340350669492582079497273658999747950761739416655392852123685154964281239886363803467197043761613966202231013714116131677964663683221504152586014053243382474230201492100908961875862580799159630482651061351991043094398446832303045220600071540829305280791782055733234731566407276794439792359498907691585877247564390770902504018684259054509162292373841540289796196281220483298543415442696429097673517380202389010195756866653984084195302773631814482244479301220963578467231613487975042818892999827496966331309064916765365107108676515463435263987927906529921888171461968961101464714051119399939003136614590552167994900500513616062083992625273274376641792994694733764390318027806877558437557653018382154303660329639421813491990985152385147776948833474770300483826662657344979580773940433829710204049778809504442031394305427495376040823714666446046193722104153868245959062719714447940219636355552995733526409418174897584111212720234441126255673016387903590092101716995029005818680272195314431433805812400676681995635370329410473830013294595674426306455685115620895977218856102093038297701189075957907284166548866539598921825710347255168142014307744120844919758640583293621379800361644976686021884560998301914214082209384826791899010908591538943515685232710778720773904784883983005536433068431429183840548648497911064925956597753875272606512249667679707653450489181938147199127545140257987199159944405306183219949130798317486517294351867873728062655516722058409945258286315136043039157414198443591715063782546360148734720369721717552071424074103108248910811741239797129714180574486158184904811521998583812383323209057888864730626727540824119397071923192396351974172696016128338926170897473751499450591651595454940635430155330838753894978947668842555756754690300913058675425148652041010758787417614036829939076920767275537085169837683481922843358912932931568929222104838889193064388157309415241071331332280099755383595045124548476591140342824607745620658524585214766763695255409083150664448069548867413614508960642259909292825374636726434671012595756660283316897562771868356175654937898815872850868826209835895597582835614562517305990055403267655854518628944782970834002546102272414624399718026270967378303208715074981553633936636516946330840959715632661029304552868071820798848820727712672082722908800907388060165140317882065637579045978568986751427561300564976999600584504526761068103603619109876297167146082283124307789919365431971398669846144606073448033475586586357041758791667796095090777100687450678876331584205525892221967180404094629904738248211670041499984246297776540923974299375923185270776425640880684897431233496402269311829207798745321035604431818859898517865366379066534856994509674527617235727128845422066257835896682068967517455308754778892627374994490441397875988586773623736740474232278517469671008402101499934685476731090021459941845552355064981434110431981045199725336437774635721379738190394685221090094156541985039012645975341041137938315544093717144822520168235938114126021203094181957626943136241172908171594297359353946432502762182470646326441593958636308564763491042793318352211828976849839269406578334457264215303796014090663119350621280150516168670283120819220535281191769591592842513657769230267844122357111304380239681003667539296693063750347528786032179919147143955756770694044216255066131438293192215759226947448709452983974053068456586417196676296511724102721161211651743598333199306211436884891753039100823990580618981362374282381259093631897555699444029665142192535374956001944244249745861454507494344912219415416527939121796668423904152164250644143874415953148203754083969311218}
30669 2177837884980846540593740273377546490005068710527615562203483430556241263729725281010143: {459915,490576,551898,1563099,2114367,2665419,2789059,3984370,4075519,4719946,4781244,5178667,5822170,6646927,6699867,6742780,6986604,7293034,7567339,8091336,8164059,8763898,9102753,9495610,9809439,9865114,9992139,10357467,10418620,10860515,11057791,11394732,11635359,12014408,12436186,12502344,12547419,12806266,13032618,13516209,13541554,13641099,14065137,14093020,14369739,14831212,15825867,16090725,16347995,16911624,17163440,17765980,18007179,18188799,18317338,19025577,19155625,19308870,19617594,19787626,20596128,21319176,21816159,22033039,22308104,22916476,22986750,23170644,23311939,23984073,23987967,24519200,25096617,25253259,25464995,26374715,27584100,28696234,29423040,29876925,30009995,30557994,30684779,30998572,31384576,31402579,31475770,31562079,31649658,31868720,32101467,32597768,32640639,33100920,33302770,33897867,33948827,35307648,35392665,35409436,35452115,35530474,35852310,36011994,36050379,36672489,37238535,37292867,37752176,37770924,38242464,38534899,39721104,39963324,40166367,40910467,40994620,41163619,41421224,41698259,41951967,42134125,42410299,42471198,42542538,43022772,43210426,43378719,43657725,44063194,44686242,45768394,46568240,46598877,48099995,48520498,49193544,49425279,50004251,50312139,50403379,50560950,50757820,50843967,51375579,52084059,52389270,52552745,53142826,53931680,54687045,54737439,55144219,55342737,55797279,55881888,55990186,56011967,56309179,57651727,57719994,57821107,58332848,58665419,58795467,58805170,60526856,60673140,60907659,60909384,61435167,61729180,62550179,62867124,62947420,63063294,64011167,64496026,64595679,64614667,64718016,65103625,65212906,65383420,65624454,65716365,66348159,68092713,68523057,69233098,69594154,69617915,70097456,70509995,70544319,70566204,71292634,72807768,73550699,73973865,74054659,74075016,74204619,74838991,75075350,75156479,75536904,75854915,75892114,75986207,77064754,77159967,77848617,78124350,78374859,78460104,78859638,78905456,79985980,80232178,80974239,81474106,81560938,81908739,82111612,82321834,82359610,82496746,82539859,83332640,83334393,83541498,83763634,84611994,84979017,85298026,86415196,86614339,87535167,88040479,88064125,88267617,88739979,88768638,88951427,89120227,89160515,89306419,89448731,89921051,89946346,90090420,90581179,90960619,91025898,91832667,92137180,92676925,92694995,92875279,93320986,93749220,93859324,94238314,95551739,95905867,95983176,96028185,96096448,96133859,96969867,97311579,97561786,97578845,97985915,98831532,99252874,99420220,99999168,...,407931271542446299231441910915296270409284768375902691622621528683740203009030252017047566143141856919411954445073071422078287247244077077709626390480873513165599104038191892689179036967225450705004988212194275863776046134371206960468664010998617957613781393783370262966325324924719010481121182122877015628330321993640245749820896567448388899724652327025211211785486187349974171042264434144123127478039782415875954363978799170202897133052774348090602931427031402674367362851623858395692619021539586880398883926571997949108365600650098420479969036589098508703358009450360998055682607722172528791672594010091030274465432232458128114646801762201091579883599055612243576160060282808943481119818617479634928514345338418054585592358993174089191920923408501216714881513981513190595294135902809253134106982140136351882949846654730799752341457670043598898211005688858564527310187990117634140999310268706273216876461924159581492501780092371805714022713865989730193516310987507611502243356075881547308327377574491151030149209157027744965108478160232337714336016432634099826885965552718873865795429787203214670118117141955533734907067602614857559130071941063121409107732495206306556183398169059822417282735329270779031588855426419278179805866263519114404468339486295831681728964639536010526004238873119245910488499621926142609124983089278185527732446421859829545705200795565642420949303346520571174197516946995524832256228879021079865073711345302238151363442813793871198739445723976592027986564641597670248454567830900107311243957921187673083599852097349610915191659688539248361537378815871346586156353756028026388581763743438560762310434694294421830724947815123164044643646510276070303583515293635299980976126292954160447721723366718951831445367700847420231962564228339499741245449496963597375148047660663014773195152895981891859794882832257192953441652197071076679099908504704921885828251992350750770424093125988937909911564962689492042100646585477041710316337656336479527573231455490494459132720237986477728577721665423250212155450725739993986017469371160910650744565306074668214256663047091458141243064061235571999669069290583156230802368938594079571671910329454533329493600289614127262346376166819080351661689383509524581855385138152575492543508728020408292971647150708718601015022993453055494115710745019941893511639459683527673431343965828284153139557446551783613936860926249823299809398382738565520882752213021461616181267379637960874940432069700542467465029032826841497452871321123314077240187848516362887308415273527849066168081160857177325974508304649602647143775760822972746866597388934896630812908909768374501519561480175733772907220798691317710386980798739916607959274829923696197476229775941527801810592093983275083087614917887429472704064558736121297665387572595673819540223102080554582576328107136111154662373366217611859695694571270861729237277357217282997875718574984813586833297095940091311236179095607884788594527961259044024192508389256346210627249175887477393182410953145232996258130842468421503263833635132035451369588013137722978061516138181126421055244908615381150913305627754756525222884265038369399397353393833157258333789596582235964122861606996998420149633075392567686822714886710514236911618430987786877822150145542883113624725996672104323301120421763440963389863939238061955089652006518893634990424975346344157802534263482406848223809276303239314753843396374253421843775958985083104901483781777943417174456251003819153408621936599577039406451067454813072612472330450904954775419496261439573448991543956829302107731198273231091569008124084363201361082090247710476823098456368568967853480127141341950847465499400876756790141602155405428664814445750719123424686461684879048147957098004769216909110172050213379879535562638187501694142636165651031176018314497376308288838332950770606141944857107372317505062249976369446664811385961449063884777906164638461321027346146850244603403967743811698117981553406647728289847776798049568599802285491764511791425853590693268133099386753845023103451276182963132168338941062491735662096813982880160435605110711348417776204506512603152249902028215096635032189912768328532597472151165647971567799588004656661953582069607285592027831635141234812977558518968963011561706907473316140575717233780252353907171189031804641272936440414704361759362257391446039030919648754143273705969489662390937954462847145236564189977528317743465274758904109867501685896322955694021135994679025931920225774253005424681228830802921787654387389263770486653845401766183535666956570359521505501308945039595625521293179048269878720715933635156041066324382599197157439788323638840421173064179475961079602684879625795014444767586154081741817477615397499798959317155327337629558651235985870928472043561423571888640447846333549166044497713288803062434002916366374618792181761241517368329123124791908682695002635856228246375966215811623929722305631125953966827}
30670 2184529883192379451595222271745369970178798915766904900076706892370322429728380398619905: {429254,613220,735864,827847,1164662,1899494,2084132,2266694,2819156,3452941,3553892,4000609,5275981,5457889,5976555,6374992,6661862,7079919,7171866,7273009,8428475,8487062,8539309,8733255,8933156,9216134,9315472,10114170,10479906,10512607,10522081,10788448,10885412,10939551,12126662,12137004,12137869,13023275,13079252,13145847,13322852,13809956,14104801,14243415,14665814,14797671,15018010,15192976,15351949,15513812,15627930,16669792,16729892,16772941,16836614,17092098,17376824,17616275,18012529,18021612,18188132,18539015,18654279,18753516,19159652,19209399,19248589,19519591,19548927,19777249,20312331,21101156,21139530,21162662,21454300,22207475,22235761,22246818,22548832,23808781,24009572,24035174,24251732,24751862,25367436,25745160,26156792,26244109,26648970,27110449,27461504,27476007,27612854,27629389,27885130,28147681,28320301,28425568,28523047,28645595,28963305,29088212,29396294,29426391,29681439,30108662,30649000,30894192,31978764,31983956,32441581,32612401,33033154,33462156,33671012,34370774,34374714,34480125,34725014,34755966,34996321,35844301,36243571,36778800,37028449,37703521,38377441,38748215,39230720,39835900,40057201,40224781,40743992,40747210,40777847,41376150,41729761,42063409,42082772,42199544,42481862,42801956,43044351,43520852,44134560,44261795,44390881,44935334,45197156,45836991,46497858,46704241,47032694,47076864,47190220,47213655,47474487,47527021,47803080,48015992,48067172,48896652,49494349,49651380,49821229,49954155,50361232,50989952,51041242,51243275,51776530,52263649,52960999,52961472,53114154,53284432,53295711,53555156,53778465,53986454,54017991,54044461,55935956,56619181,56628264,56656386,56723384,57363696,57838292,58059361,58210300,58378609,59016241,59163974,59581656,59944986,59970529,60288049,60763789,61335274,61397101,61491930,61569062,62131836,62817841,63007967,63282662,63447275,63604621,63706797,63813807,64309094,64389601,64534158,64815639,65591392,65900372,66094791,66577969,67029363,67082852,67296307,67356109,67414600,67666861,67791956,68500772,68652591,68906989,69042274,69370849,69445412,69852360,72473894,72780747,72916060,72983252,73790316,74396372,74509184,75177062,75190321,75658570,75841425,76136730,76250989,76855501,76959992,77161475,77458861,77534774,78393956,78511969,78583905,78684275,79112161,79561549,79714239,80010289,80458381,80607601,80890694,80897520,81203761,81210212,81212512,81729275,81894662,81913556,82244269,83576881,83822832,83985279,84084392,84565574,85197709,85231862,85931569,86127572,86290688,86579991,86895062,87499272,87621820,87685489,88207755,88413229,88464212,89217494,89626306,90790284,91009710,91202534,91364076,92024929,92455309,92593770,93511862,94059092,94088272,94300686,94421130,94594941,94772314,94881889,95733361,96744039,97077024,97287661,97819359,98075130,98436681,98631820,98766688,98833249,98939492,99253261,99982475,...,543908362056595065641922547887061693879046357834536922163495371578320270678707002689396754857522475892549272593430761896104382996325436103612835187307831350887465472050922523585572049289633934273339984282925701151701394845828275947291552014664823943485041858377827017288433766566292013974828242830502687504440429324853660999761195423264518532966203102700281615713981583133298894723019245525497503304053043221167939151971732226937196177403699130787470575236041870232489817135498477860923492028719449173865178568762663932144487467533464560639958715452131344937810679267147997407576810296230038388896792013454707032620576309944170819529069016268122106511465407482991434880080377078591308159758156639513238019127117890739447456478657565452255894564544668288953175351975350920793725514537079004178809309520181802510599795539641066336455276893391465197614674251811419369746917320156845521332413691608364289168615898879441990002373456495740952030285154652973591355081316676815336324474767842063077769836765988201373532278876036993286811304213643116952448021910178799769181287403625165154393906382937619560157489522607378313209423470153143412173429254750828545476976660275075408244530892079763223043647105694372042118473901892370906407821684692152539291119315061108908971952852714680701338985164158994547317999495901523478833310785704247370309928562479772727606934394087523227932404462027428232263355929327366443008305172028106486764948460402984201817923751725161598319260965302122703982086188796893664606090441200143081658610561583564111466469463132814553588879584718997815383171754495128781541805008037368518109018324584747683080579592392562440966597086830885392858195347034760404778020391513733307968168390605547263628964488958602441927156934463226975950085637785999654993932662618129833530730214217353030926870527975855813059843776342923937922202929428102238799878006273229181104335989801001027232124167985250546548753283585989389467528780636055613755116875115306036764308607320659278843626983981970304770295553897666949540600967653325314689959161547880867659420408099557619008884062788610854990752081647429332892092387444208307736491918125439428895880439272711105991467052818836349795168222425440468882252511346032775807180184203433990058011637360544390628862867611624801353363991270740658820947660026589191348852612911370231241791954437712204186076595402378151915814568333097733079197843651420694510336284028615488241689839517281166587242759600723289953372043769121996603828428164418769653583798021817183077887031370465421557441547809569767966011072866136862858367681097296995822129851913195507750545213024499335359415306900978363876294398255090280515974398319888810612366439898261596634973034588703735747456125311033444116819890516572630272086078314828396887183430127565092720297469440739443435104142848148206216497821623482479594259428361148972316369809623043997167624766646418115777729461253455081648238794143846384792703948345392032256677852341794947502998901183303190909881270860310661677507789957895337685111513509380601826117350850297304082021517574835228073659878153841534551074170339675366963845686717825865863137858444209677778386128776314618830482142662664560199510767190090249096953182280685649215491241317049170429533527390510818166301328896139097734827229017921284519818585650749273452869342025191513320566633795125543736712351309875797631745701737652419671791195165671229125034611980110806535311709037257889565941668005092204544829248799436052541934756606417430149963107267873273033892661681919431265322058609105736143641597697641455425344165445817601814776120330280635764131275158091957137973502855122601129953999201169009053522136207207238219752594334292164566248615579838730863942797339692289212146896066951173172714083517583335592190181554201374901357752663168411051784443934360808189259809476496423340082999968492595553081847948598751846370541552851281761369794862466992804538623658415597490642071208863637719797035730732758133069713989019349055234471454257690844132515671793364137935034910617509557785254749988980882795751977173547247473480948464557034939342016804202999869370953462180042919883691104710129962868220863962090399450672875549271442759476380789370442180188313083970078025291950682082275876631088187434289645040336471876228252042406188363915253886272482345816343188594718707892865005524364941292652883187917272617129526982085586636704423657953699678538813156668914528430607592028181326238701242560301032337340566241638441070562383539183185685027315538460535688244714222608760479362007335078593386127500695057572064359838294287911513541388088432510132262876586384431518453894897418905967948106136913172834393352593023448205442322423303487196666398612422873769783506078201647981161237962724748564762518187263795111398888059330284385070749912003888488499491722909014988689824438830833055878243593336847808304328501288287748831906296407508167938622436}
30671 2191242325763004731768535287245772894577687988495279466616819825080331789400492039570194: {30671,643881,766525,919830,981152,1103796,1746993,2605165,2849241,3126198,3400041,3523945,3708529,4228734,4442365,5330838,5578118,5730241,7751161,7968740,8151038,8854093,9439892,9562488,9771289,9992793,10357334,10757799,11166445,11644340,11976721,12730593,13293854,13399734,13485560,13606765,13824201,13973208,14586068,15134678,15171255,15204721,15719859,16182672,16328118,16349065,16653565,17262445,17527796,18189993,18205506,18991220,19392265,19618878,19730228,19984278,20714934,20837240,20912365,21721030,21998721,22115582,22527015,22547041,22735165,22789464,22887193,23270718,23441895,23949565,24028816,24872372,25004688,25094838,25254921,25612532,25638147,26065236,26376445,26817875,27032418,27083108,27282198,27916801,28130274,28186040,28739478,29662424,30011965,30314665,31651734,31709295,31724941,31743993,32181450,32695990,33370227,33823248,33951049,34294753,34326880,34621081,35531960,35650993,35960881,36014358,36052761,36360265,36377598,36634676,36924601,37127793,38051154,38311250,38617740,39235188,39575252,39973455,39979945,40121341,41192256,41419281,41827695,42013993,42088765,42638352,43632318,43992289,44066078,44094441,44574001,44616208,45162993,45832952,45973500,46341288,46409581,46623878,47968146,47975934,49038400,49549731,49632961,49794875,49932241,50193234,50388493,50506518,50675449,50929990,51556161,51562071,52087521,52133949,52459501,52603465,52749430,53502445,54401065,54681121,55168200,56015641,56496445,57392468,58846080,58987775,59095933,59753850,60019990,60083965,61115988,61120815,61369558,61997144,62064225,62554273,62769152,62805158,62951540,63124158,63299316,63722793,63737440,64015369,64202934,64681441,65195536,65281278,65567233,66195961,66201840,66443821,66605540,66943945,67339993,67403001,67544593,67795734,67897654,69746787,69919945,70549041,70615296,70672129,70785330,70818872,70904230,71060948,71074093,71704620,72023988,72100758,72297865,72762875,73344978,73555513,73573843,74477070,74585734,75504352,75541848,75649561,76484928,76561273,76561863,76655689,77069798,77664795,77984401,78623161,78857293,79442208,79671231,79926648,80332734,80979681,81396493,81820934,81989240,82327238,82375465,82842448,83396518,83853565,83903934,84268250,84490561,84739945,84820598,84942396,84984579,85085076,85625965,85949281,86045544,86420852,86757438,86806765,87315450,88126388,88745961,88957249,89372484,89801881,89917479,89926969,90589609,91145075,91219993,91229065,91457101,91536788,91947721,92002911,92237895,92353593,92995465,93136480,93197754,93290521,94923993,95557993,95617609,96199990,96223993,96463641,96801237,97040996,97465081,97537273,97872841,97992445,98387088,98713993,98790781,98850558,...,815862543084892598462883821830592540818569536751805383245243057367480406018060504034095132286283713838823908890146142844156574494488154155419252780961747026331198208076383785378358073934450901410009976424388551727552092268742413920937328021997235915227562787566740525932650649849438020962242364245754031256660643987280491499641793134896777799449304654050422423570972374699948342084528868288246254956079564831751908727957598340405794266105548696181205862854062805348734725703247716791385238043079173760797767853143995898216731201300196840959938073178197017406716018900721996111365215444345057583345188020182060548930864464916256229293603524402183159767198111224487152320120565617886962239637234959269857028690676836109171184717986348178383841846817002433429763027963026381190588271805618506268213964280272703765899693309461599504682915340087197796422011377717129054620375980235268281998620537412546433752923848319162985003560184743611428045427731979460387032621975015223004486712151763094616654755148982302060298418314055489930216956320464675428672032865268199653771931105437747731590859574406429340236234283911067469814135205229715118260143882126242818215464990412613112366796338119644834565470658541558063177710852838556359611732527038228808936678972591663363457929279072021052008477746238491820976999243852285218249966178556371055464892843719659091410401591131284841898606693041142348395033893991049664512457758042159730147422690604476302726885627587742397478891447953184055973129283195340496909135661800214622487915842375346167199704194699221830383319377078496723074757631742693172312707512056052777163527486877121524620869388588843661449895630246328089287293020552140607167030587270599961952252585908320895443446733437903662890735401694840463925128456678999482490898993927194750296095321326029546390305791963783719589765664514385906883304394142153358199817009409843771656503984701501540848186251977875819823129925378984084201293170954083420632675312672959055146462910980988918265440475972955457155443330846500424310901451479987972034938742321821301489130612149336428513326094182916282486128122471143999338138581166312461604737877188159143343820658909066658987200579228254524692752333638160703323378767019049163710770276305150985087017456040816585943294301417437202030045986906110988231421490039883787023278919367055346862687931656568306279114893103567227873721852499646599618796765477131041765504426042923232362534759275921749880864139401084934930058065653682994905742642246628154480375697032725774616830547055698132336162321714354651949016609299205294287551521645945493733194777869793261625817819536749003039122960351467545814441597382635420773961597479833215918549659847392394952459551883055603621184187966550166175229835774858945408129117472242595330775145191347639080446204161109165152656214272222309324746732435223719391389142541723458474554714434565995751437149969627173666594191880182622472358191215769577189055922518088048385016778512692421254498351774954786364821906290465992516261684936843006527667270264070902739176026275445956123032276362252842110489817230762301826611255509513050445768530076738798794706787666314516667579193164471928245723213993996840299266150785135373645429773421028473823236861975573755644300291085766227249451993344208646602240843526881926779727878476123910179304013037787269980849950692688315605068526964813696447618552606478629507686792748506843687551917970166209802967563555886834348912502007638306817243873199154078812902134909626145224944660901809909550838992522879146897983087913658604215462396546462183138016248168726402722164180495420953646196912737137935706960254282683901694930998801753513580283204310810857329628891501438246849372923369758096295914196009538433818220344100426759759071125276375003388285272331302062352036628994752616577676665901541212283889714214744635010124499952738893329622771922898127769555812329276922642054692293700489206807935487623396235963106813295456579695553596099137199604570983529023582851707181386536266198773507690046206902552365926264336677882124983471324193627965760320871210221422696835552409013025206304499804056430193270064379825536657065194944302331295943135599176009313323907164139214571184055663270282469625955117037937926023123413814946632281151434467560504707814342378063609282545872880829408723518724514782892078061839297508286547411938979324781875908925694290473128379955056635486930549517808219735003371792645911388042271989358051863840451548506010849362457661605843575308774778527540973307690803532367071333913140719043011002617890079191251042586358096539757441431867270312082132648765198394314879576647277680842346128358951922159205369759251590028889535172308163483634955230794999597918634310654675259117302471971741856944087122847143777280895692667098332088995426577606124868005832732749237584363522483034736658246249583817365390005271712456492751932431623247859444611262251907933654}
30672 2197975274790576594053563554191574569752146629072454183238652049304620866612141720686749: {337271,704927,858508,888647,1226440,1255871,1379745,1471728,1655694,2329324,2416847,3453167,3798988,4168264,4533388,4689297,4972967,5458247,5518871,5638312,6343101,6790127,6905882,7107784,7333871,7996257,8001218,8178407,8367177,8539871,8600087,9960925,10042871,10551962,10582727,10702607,10882367,10915778,11481047,11799865,11953110,12138671,12226557,12676007,12749984,13033871,13323724,13570127,13927271,14159838,14343732,14546018,14555425,14818871,15175007,15536001,16856950,16951367,16974124,17078618,17128607,17466510,17866312,18072671,18232585,18426167,18432268,18630944,19308647,19778567,19837271,19940781,20099601,20228340,20482487,20959812,21025214,21044162,21576896,21770824,21879102,21909745,22470671,22702017,23739025,24159167,24253324,24274008,24275738,24492177,24507671,24662785,25029887,25435607,25954621,26046550,26158504,26291694,26303687,26645704,27112271,27308259,27343007,27619912,28209602,28486830,29331628,29428317,29595342,29929967,29976417,30036020,30385952,30559871,30703898,30788687,31027624,31072401,31090465,31255860,31417271,32015665,32272871,32581545,32614607,33173373,33339584,33459784,33545882,33673228,33853885,34184196,34545671,34753648,34906077,35232550,36025058,36043224,36185447,36376264,36749327,37078030,37308558,37507032,37642257,37706087,37874687,38319304,38418798,38497178,39039182,39097854,39554498,39892271,40103833,40548627,40624662,40923297,41788247,42195411,42202312,42279060,42325324,42399671,42908600,42954671,43109217,43231871,43564247,43730327,44414950,44471522,44493636,44946047,45097664,45111527,45717671,45793345,46762367,46872167,47477601,47617562,48019144,48070348,48192001,48241967,48272175,48503464,49043985,49061447,49469065,49503724,49879127,50734872,51490320,51996671,52313584,52488218,53297940,54021537,54102047,54220898,54247501,54566397,54693671,54923008,54952014,55015967,55225708,55258778,55770260,55981127,56295362,56640602,56851136,57046094,57076731,57291190,57424007,57466875,57637271,57926610,58116647,58176424,58754807,58792588,58852782,59179607,59362878,59497871,59974727,60217324,60345167,60820871,61298000,61788384,61966513,62086247,63661487,63766247,63957528,63967912,64446407,64883162,65224802,65448477,66066308,66099117,66924312,67342024,67412687,67568087,67671647,68741548,68749428,68960250,69450028,69511932,69935817,69992642,70420669,70968671,71685527,71688602,71740585,71952219,71963901,72487142,72757871,73521671,73557600,74056898,74463961,74790671,75246287,75289851,75407042,75759777,75802271,76004207,76256447,76306871,76394985,76754882,76861007,77496430,77765687,78461440,78689425,79124145,79671800,80016047,80114402,80449562,80762567,81487984,81494420,81507287,81555694,82299671,82752300,82991327,83256925,83459522,83484407,84025871,84126818,84165544,84399088,84517271,84963724,85203887,85603912,85986671,86088702,87010967,87041704,87691871,88269120,88523590,88781762,88826185,89630775,89870668,90029985,90394312,91360847,91673982,92054337,92079527,92462087,92509871,92995716,93034967,93408482,93511487,94065388,94153728,94177271,94207737,94380440,94427310,94686237,94948974,95054042,95606160,95787647,96031984,96134344,96304401,97012871,97764167,97793304,97921917,98988698,99302760,99586871,99642458,99908310,...,1223793814627338897694325732745888811227854305127708074867864586051220609027090756051142698429425570758235863335219214266234861741732231233128879171442620539496797312114575678067537110901676352115014964636582827591328138403113620881405992032995853872841344181350110788898975974774157031443363546368631046884990965980920737249462689702345166699173956981075633635356458562049922513126793302432369382434119347247627863091936397510608691399158323044271808794281094208023102088554871575187077857064618760641196651779715993847325096801950295261439907109767295526110074028351082994167047823166517586375017782030273090823396296697374384343940405286603274739650797166836730728480180848426830443359455852438904785543036015254163756777076979522267575762770225503650144644541944539571785882407708427759402320946420409055648849539964192399257024373010130796694633017066575693581930563970352902422997930806118819650629385772478744477505340277115417142068141597969190580548932962522834506730068227644641924982132723473453090447627471083234895325434480697013143008049297902299480657896658156621597386289361609644010354351425866601204721202807844572677390215823189364227323197485618919668550194507179467251848205987812337094766566279257834539417598790557343213405018458887495045186893918608031578012716619357737731465498865778427827374949267834556583197339265579488637115602386696927262847910039561713522592550840986574496768686637063239595221134035906714454090328441381613596218337171929776083959693924793010745363703492700321933731873763563019250799556292048832745574979065617745084612136447614039758469061268084079165745291230315682286931304082883265492174843445369492133930939530828210910750545880905899942928378878862481343165170100156855494336103102542260695887692685018499223736348490890792125444142981989044319585458687945675579384648496771578860324956591213230037299725514114765657484755977052252311272279377966813729734694888068476126301939756431125130949012969009438582719694366471483377398160713959433185733164996269750636466352177219981958052408113482731952233695918224004642769989141274374423729192183706715999007207871749468692407106815782238715015730988363599988480800868842381787039128500457241054985068150528573745566155414457726477630526184061224878914941452126155803045068980359166482347132235059825680534918379050583020294031897484852459418672339655350841810582778749469899428195148215696562648256639064384848543802138913882624821296209101627402395087098480524492358613963369942231720563545549088661925245820583547198504243482571531977923524913948807941431327282468918240599792166804689892438726729305123504558684440527201318721662396073953131160942396219749823877824489771088592428689327824583405431776281949825249262844753662288418112193676208363892996162717787021458620669306241663747728984321408333463987120098652835579087083713812585187711832071651848993627155724954440760499891287820273933708537286823654365783583883777132072577525167769038631881747527662432179547232859435698988774392527405264509791500905396106354108764039413168934184548414543379263165734725846143452739916883264269575668652795115108198192060181499471775001368789746707892368584820990995260448899226177703060468144660131542710734855292963360633466450436628649340874177990016312969903361265290322890169591817714185865268956019556680904971274926039032473407602790447220544671427828909717944261530189122760265531327876955249314704451345333830251523368753011457460225865809798731118219353202364439217837416991352714864326258488784318720346974631870487906323193594819693274707024372253089604083246270743131430469295369105706903560440381424025852542396498202630270370424806466216285994443337252157370274059385054637144443871294014307650727330516150640139638606687914562505082427908496953093528054943492128924866514998852311818425834571322116952515186749929108339994434157884347191654333718493915383963082038440550733810211903231435094353944660219943184869543330394148705799406856475293535374277560772079804399298160261535069310353828548889396505016823187475206986290441948640481306815332134045253328613519537809456749706084645289905096569738304985597792416453496943914703398764013969985860746208821856776083494905423704438932675556906889034685120722419948421727151701340757061721513567095413923818809321244113085278086772174338117092758946262429821117908468987172813863388541435709692569932584953230395824276712329602505057688968867082063407984037077795760677322759016274043686492408765362963162167791311459961536205298550607000869711078564516503926835118786876563879537144809636162147800905468123198973147797591472319364970916521263519192538427883238808054638877385043334302758462245225452432846192499396877951465982012888675953707957612785416130684270715665921343539000647498133493139866409187302008749099123856376545283724552104987369374375726048085007907568684739127898647434871789166916893377861900481}
30673 2204728792560475971172334541292114294271765315960518581610472708472335801997132997658574: {61342,1073135,1287762,1533050,1839660,1962304,2207592,2483541,2911655,3493986,3647231,4382807,4748735,4933523,5210330,5666735,5698482,6219311,6252396,6404387,6772103,6800082,7047890,7417058,8457468,8884730,9160463,9895751,10358823,10445171,10661676,11156236,11460482,11547887,12001827,13385747,15502322,15633023,15827943,15937480,16302076,16373667,16654655,17708186,17929665,18879784,19049471,19124976,19542578,19985586,20714668,21217655,21239757,21515598,21819027,22332890,22888691,23040335,23288680,23314991,23953442,24167423,25285425,25461186,25617927,26199765,26587708,26646503,26799468,26971120,27149171,27213530,27648402,27946416,29172136,29277311,30269356,30316655,30342510,30409442,31439718,31537821,31566243,31829231,32365344,32656236,32698130,32818653,32992583,33307130,33529391,34524890,34623347,35055592,35457287,36379986,36411012,36413607,36633047,36664535,36927023,37545025,37982440,38784530,39069825,39237756,39437541,39460456,39968556,40123967,40915823,41064911,41429868,41674480,41824730,42016751,42091535,42314403,42440531,42499223,42730245,43442060,43997442,44231164,44393013,45054030,45094082,45470330,45578928,45774386,46055847,46541436,46883790,47899130,48057632,48673463,49744744,50009376,50189676,50318823,50391791,50509842,50904371,51225064,51276294,51338783,51990887,52130472,52752890,52848825,52906655,53498303,53635750,54037587,54064836,54166216,54564396,55617045,55833602,55962837,55971923,56260548,56316551,56372080,57478956,57628197,57745767,58558773,58631207,58646781,58924271,59324848,59331747,59411111,59889167,60023930,60087935,60629330,60936993,61879655,63303468,63418590,63449882,63487986,64362900,64623143,64685687,65391980,65912111,66200303,66622425,66707283,66740454,66749591,67646496,67902098,68163743,68589506,68653760,69032135,69242162,69684983,69712825,71063920,71301986,71426343,71921762,72028716,72105522,72111671,72720530,72755196,73269352,73490735,73644851,73849202,74255586,74903423,75271655,75654527,76102308,76161491,76441703,76622500,77235480,78470376,78628307,78732327,79095023,79150504,79435751,79946910,79959890,80242682,81331347,82384512,82428021,82582885,82838562,82888167,83521607,83655390,84027986,84117551,84177530,84295727,84443043,84496103,84960903,85276704,85569141,85926935,85936785,86812535,86889915,87264636,87984578,88132156,88188882,88279173,89044317,89148002,89232416,89318111,90325986,90593087,90595571,90972551,91463087,91665904,91947000,92163383,92682576,92819162,93247756,93296627,93721523,93828263,94430627,95918423,95936292,95951868,96230291,97324743,97511027,97837203,97887923,98076800,98797247,98961167,99099462,99265922,99589750,99864482,...,1631725086169785196925767643661185081637139073503610766490486114734960812036121008068190264572567427677647817780292285688313148988976308310838505561923494052662396416152767570756716147868901802820019952848777103455104184537484827841874656043994471830455125575133481051865301299698876041924484728491508062513321287974560982999283586269793555598898609308100844847141944749399896684169057736576492509912159129663503817455915196680811588532211097392362411725708125610697469451406495433582770476086158347521595535706287991796433462402600393681919876146356394034813432037801443992222730430888690115166690376040364121097861728929832512458587207048804366319534396222448974304640241131235773924479274469918539714057381353672218342369435972696356767683693634004866859526055926052762381176543611237012536427928560545407531799386618923199009365830680174395592844022755434258109240751960470536563997241074825092867505847696638325970007120369487222856090855463958920774065243950030446008973424303526189233309510297964604120596836628110979860433912640929350857344065730536399307543862210875495463181719148812858680472468567822134939628270410459430236520287764252485636430929980825226224733592676239289669130941317083116126355421705677112719223465054076457617873357945183326726915858558144042104016955492476983641953998487704570436499932357112742110929785687439318182820803182262569683797213386082284696790067787982099329024915516084319460294845381208952605453771255175484794957782895906368111946258566390680993818271323600429244975831684750692334399408389398443660766638754156993446149515263485386344625415024112105554327054973754243049241738777177687322899791260492656178574586041104281214334061174541199923904505171816641790886893466875807325781470803389680927850256913357998964981797987854389500592190642652059092780611583927567439179531329028771813766608788284306716399634018819687543313007969403003081696372503955751639646259850757968168402586341908166841265350625345918110292925821961977836530880951945910914310886661693000848621802902959975944069877484643642602978261224298672857026652188365832564972256244942287998676277162332624923209475754376318286687641317818133317974401158456509049385504667276321406646757534038098327421540552610301970174034912081633171886588602834874404060091973812221976462842980079767574046557838734110693725375863313136612558229786207134455747443704999293199237593530954262083531008852085846464725069518551843499761728278802169869860116131307365989811485284493256308960751394065451549233661094111396264672324643428709303898033218598410588575103043291890987466389555739586523251635639073498006078245920702935091628883194765270841547923194959666431837099319694784789904919103766111207242368375933100332350459671549717890816258234944485190661550290382695278160892408322218330305312428544444618649493464870447438782778285083446916949109428869131991502874299939254347333188383760365244944716382431539154378111845036176096770033557025384842508996703549909572729643812580931985032523369873686013055334540528141805478352052550891912246064552724505684220979634461524603653222511019026100891537060153477597589413575332629033335158386328943856491446427987993680598532301570270747290859546842056947646473723951147511288600582171532454498903986688417293204481687053763853559455756952247820358608026075574539961699901385376631210137053929627392895237105212957259015373585497013687375103835940332419605935127111773668697825004015276613634487746398308157625804269819252290449889321803619819101677985045758293795966175827317208430924793092924366276032496337452805444328360990841907292393825474275871413920508565367803389861997603507027160566408621621714659257783002876493698745846739516192591828392019076867636440688200853519518142250552750006776570544662604124704073257989505233155353331803082424567779428429489270020248999905477786659245543845796255539111624658553845284109384587400978413615870975246792471926213626590913159391107192198274399209141967058047165703414362773072532397547015380092413805104731852528673355764249966942648387255931520641742420442845393671104818026050412608999608112860386540128759651073314130389888604662591886271198352018626647814328278429142368111326540564939251910234075875852046246827629893264562302868935121009415628684756127218565091745761658817447037449029565784156123678595016573094823877958649563751817851388580946256759910113270973861099035616439470006743585291822776084543978716103727680903097012021698724915323211687150617549557055081946615381607064734142667826281438086022005235780158382502085172716193079514882863734540624164265297530396788629759153294555361684692256717903844318410739518503180057779070344616326967269910461589999195837268621309350518234604943943483713888174245694287554561791385334196664177990853155212249736011665465498475168727044966069473316492499167634730780010543424912985503864863246495718889222524503815867308}
30674 2211502941546173545353068770230088876595363277126762400210169837293470004694333964126795: {92013,398593,674542,949933,1133569,1317133,1409854,1717016,1777294,1931643,2299575,2452880,2511742,2759490,2943456,2965969,3311388,4658648,4791169,4833694,5240979,5519233,6906334,7597976,7815495,8239213,8336528,8547723,8600653,9066776,9322669,9378594,9945934,10200123,10571835,10916494,11037742,11122669,11125587,11276624,12686202,12736513,13094353,13327095,13580254,13811764,13945295,13987693,14215568,14667742,14701069,15992514,16002436,16301953,16356814,16519811,16734354,17079742,17188813,17190723,17200174,17365969,19838593,19921850,20085742,20377595,20718253,21103924,21165454,21405214,21764734,21771469,21831556,22647169,22962094,23253483,23599730,23906220,24218893,24277342,24453114,24567373,25352014,25499968,25525619,25893335,26067742,26562279,26647448,27140254,27854542,28319676,28687464,29092036,29110850,29313867,29415853,29637742,29978379,30350014,30619153,30673643,31072002,31476493,32161069,32273397,32332033,33234635,33499335,33713900,33902734,33948248,34157236,34257214,34527899,34933020,35397073,35732624,35930163,36145342,36244333,36413569,36465170,36852334,36864536,37261888,37836695,37933453,38191779,38617294,38943469,39557134,39674542,39881562,40199202,40456680,40820295,40964974,41472603,41624173,41919624,42050428,42088324,42458113,43153792,43290253,43526651,43541648,43758204,43819490,44821931,44941342,44949133,45404034,45513765,45614163,46435969,47159577,47395439,47478050,48081169,48318334,48506648,48548016,48551476,48984354,49015342,49047195,49325570,49960695,50059774,50372353,50535469,50698513,50871214,51787335,51909242,52093100,52317008,52583388,52607374,52811533,53291408,53620993,53782669,54224542,54302575,54569979,54616518,54686014,55239824,55288955,56038573,56419204,56954183,56973660,57001069,57641293,57801169,58176795,58663256,58758913,58856634,59190684,59555053,59859934,59952834,60072040,60771904,60983569,61119742,61407796,61577374,61616593,62055248,62144802,62180930,62511720,62737095,62834542,64031330,64110683,64545742,64764433,64921069,65163090,65229214,65996163,66346746,66679168,66919568,67091764,67261969,67346456,67581045,67641123,67707770,68205495,68368392,68661579,69091342,69256691,69507296,69741073,69812154,70325685,70465100,71741773,71848695,72050116,72086448,72370894,72752528,72814033,73425169,73498654,74156060,74187469,74617116,74947969,75014064,75284514,75412174,75706669,75749374,75764763,75858193,76312333,76638608,76837596,76914441,76994356,77821453,78078364,78195708,79108996,79129335,79323373,79473169,79784542,80207666,80453625,81097254,81249324,81739975,81846594,83046673,83224427,83576494,83750403,84390822,84404624,84558120,84650648,84799342,85817200,85909342,86218434,86463742,87128494,87460654,87601069,88002863,88329169,88829900,88943044,88987272,89892094,90035895,90195328,90223054,90502669,90646993,90943995,91435342,91586690,92516653,93518353,93524734,93744334,94231693,94955202,95127885,95174823,95231979,95235124,95778125,96038288,96140696,96219469,96384002,96483934,96544350,96784813,97006928,97067053,97630669,97771393,98087970,98122894,98193133,98473933,98938130,99007448,99758254,...,2447587629254677795388651465491777622455708610255416149735729172102441218054181512102285396858851141516471726670438428532469723483464462466257758342885241078993594624229151356135074221803352704230029929273165655182656276806227241762811984065991707745682688362700221577797951949548314062886727092737262093769981931961841474498925379404690333398347913962151267270712917124099845026253586604864738764868238694495255726183872795021217382798316646088543617588562188416046204177109743150374155714129237521282393303559431987694650193603900590522879814219534591052220148056702165988334095646333035172750035564060546181646792593394748768687880810573206549479301594333673461456960361696853660886718911704877809571086072030508327513554153959044535151525540451007300289289083889079143571764815416855518804641892840818111297699079928384798514048746020261593389266034133151387163861127940705804845995861612237639301258771544957488955010680554230834284136283195938381161097865925045669013460136455289283849964265446946906180895254942166469790650868961394026286016098595804598961315793316313243194772578723219288020708702851733202409442405615689145354780431646378728454646394971237839337100389014358934503696411975624674189533132558515669078835197581114686426810036917774990090373787837216063156025433238715475462930997731556855654749898535669113166394678531158977274231204773393854525695820079123427045185101681973148993537373274126479190442268071813428908180656882763227192436674343859552167919387849586021490727406985400643867463747527126038501599112584097665491149958131235490169224272895228079516938122536168158331490582460631364573862608165766530984349686890738984267861879061656421821501091761811799885856757757724962686330340200313710988672206205084521391775385370036998447472696981781584250888285963978088639170917375891351158769296993543157720649913182426460074599451028229531314969511954104504622544558755933627459469389776136952252603879512862250261898025938018877165439388732942966754796321427918866371466329992539501272932704354439963916104816226965463904467391836448009285539978282548748847458384367413431998014415743498937384814213631564477430031461976727199976961601737684763574078257000914482109970136301057147491132310828915452955261052368122449757829882904252311606090137960718332964694264470119651361069836758101166040588063794969704918837344679310701683621165557498939798856390296431393125296513278128769697087604277827765249642592418203254804790174196961048984717227926739884463441127091098177323850491641167094397008486965143063955847049827897615882862654564937836481199584333609379784877453458610247009117368881054402637443324792147906262321884792439499647755648979542177184857378655649166810863552563899650498525689507324576836224387352416727785992325435574042917241338612483327495457968642816666927974240197305671158174167427625170375423664143303697987254311449908881520999782575640547867417074573647308731567167767554264145155050335538077263763495055324864359094465718871397977548785054810529019583001810792212708217528078826337868369096829086758526331469451692286905479833766528539151337305590230216396384120362998943550002737579493415784737169641981990520897798452355406120936289320263085421469710585926721266932900873257298681748355980032625939806722530580645780339183635428371730537912039113361809942549852078064946815205580894441089342855657819435888523060378245520531062655753910498629408902690667660503046737506022914920451731619597462236438706404728878435674833982705429728652516977568637440693949263740975812646387189639386549414048744506179208166492541486262860938590738211413807120880762848051705084792996405260540740849612932432571988886674504314740548118770109274288887742588028615301454661032301280279277213375829125010164855816993906187056109886984257849733029997704623636851669142644233905030373499858216679988868315768694383308667436987830767926164076881101467620423806462870188707889320439886369739086660788297411598813712950587070748555121544159608798596320523070138620707657097778793010033646374950413972580883897280962613630664268090506657227039075618913499412169290579810193139476609971195584832906993887829406797528027939971721492417643713552166989810847408877865351113813778069370241444839896843454303402681514123443027134190827847637618642488226170556173544348676234185517892524859642235816937974345627726777082871419385139865169906460791648553424659205010115377937734164126815968074155591521354645518032548087372984817530725926324335582622919923072410597101214001739422157129033007853670237573753127759074289619272324295601810936246397946295595182944638729941833042527038385076855766477616109277754770086668605516924490450904865692384998793755902931964025777351907415915225570832261368541431331842687078001294996266986279732818374604017498198247712753090567449104209974738748751452096170015815137369478255797294869743578333833786755723800962}
30675 2218297784409794458712025647222389862182187884390177472092695790281109681995707514821232: {122684,1011813,1502389,2114781,2146270,2575524,2665941,3066100,3679320,3767613,3924608,4076317,4139235,4415184,4967082,5179681,5823310,6648229,6987972,7250541,7294462,7568821,7933429,8765614,9497470,9867046,10359501,10420660,11059957,11333470,11396964,12344293,12438622,12504792,12808774,13544206,13600164,14067891,14095780,14834116,14918901,16374741,16556613,16914936,17264705,17769460,18320926,19029303,19791502,20003045,20370381,20717646,20890342,21323352,22001613,22312472,22920964,23095774,23316517,23893133,23988771,24003654,24535221,25101531,25619613,25800261,26379905,26771494,27289445,29704717,29882775,30128613,31004644,31266046,31655886,31748181,31874960,32107821,32256469,32604152,32647101,32747334,33309310,34443141,35399595,35416372,35859330,35965589,36365045,36416013,36679671,37759568,38028021,38098942,38249952,39085156,39101613,39971172,40710381,40918501,41429336,41514701,41781813,42142375,42435310,42443317,42479514,42696545,43031196,43293601,43638054,43666275,44456613,44665780,45525021,45777382,45896077,46080670,46577360,46608003,46629982,47021441,47906884,48334846,50570850,50854101,50922372,51235854,51330349,51385821,51426833,52399530,52466369,52563035,52610405,53175416,53293006,53598936,53942240,54218013,54298342,54427060,54697755,55278501,55296804,55892832,56022989,56320237,57925941,58024373,58344272,58554622,58928149,59335701,59511813,59792221,59822343,60298803,60538712,60633310,60685020,60689345,60818884,61447461,62879436,63075642,63132486,63508429,63658462,64730688,65116375,65312472,65396260,65637306,65729235,65985166,66021989,66614260,67058782,67412013,68106051,69012289,69049780,69246694,70111184,70524005,70914574,71217075,72477501,72759972,72822024,72827214,73266094,73329070,73476531,73523013,73666477,73854046,73988355,74069317,75089661,75090050,75964880,76306821,76446721,76759745,77279297,77569060,77863863,77994653,78139650,78475512,78867617,78875082,78911061,78920912,79370861,79937112,80247934,80595397,81336813,81831646,81924777,82029021,82129822,82859736,83348960,83649460,83864705,84033502,84123109,84183070,84628806,84881062,84998446,85460490,86563949,86631517,86884120,87994884,88081375,88284951,88462328,88786026,89323957,89789901,89929251,90062645,90108060,90188164,90940660,91157856,91548772,91679613,92111694,92366061,92695075,93082872,93217203,93271395,93767580,94251813,94436821,94762517,95798260,95924701,96046995,96115264,96242945,96644989,96818613,97346926,97597955,97744635,97843821,98886245,98926349,99489488,99520119,...,3671381443882016693082977198237666433683562915383124224603593758153661827081272268153428095288276712274707590005657642798704585225196693699386637514327861618490391936343727034202611332705029056345044893909748482773984415209340862644217976098987561618524032544050332366696927924322471094330090639105893140654972897942762211748388069107035500097521870943226900906069375686149767539380379907297108147302358041742883589275809192531826074197474969132815426382843282624069306265664614725561233571193856281923589955339147981541975290405850885784319721329301886578330222085053248982501143469499552759125053346090819272470188890092123153031821215859809824218952391500510192185440542545280491330078367557316714356629108045762491270331230938566802727288310676510950433933625833618715357647223125283278206962839261227166946548619892577197771073119030392390083899051199727080745791691911058707268993792418356458951888157317436233432516020831346251426204424793907571741646798887568503520190204682933925774946398170420359271342882413249704685976303442091039429024147893706898441973689974469864792158868084828932031063054277599803614163608423533718032170647469568092681969592456856759005650583521538401755544617963437011284299698837773503618252796371672029640215055376662485135560681755824094734038149858073213194396496597335283482124847803503669749592017796738465911346807160090781788543730118685140567777652522959723490306059911189718785663402107720143362270985324144840788655011515789328251879081774379032236091110478100965801195621290689057752398668876146498236724937196853235253836409342842119275407183804252237497235873690947046860793912248649796476524530336108476401792818592484632732251637642717699828785136636587444029495510300470566483008309307626782087663078055055497671209045472672376376332428945967132958756376063837026738153945490314736580974869773639690111899176542344296972454267931156756933816838133900441189204084664205428378905819269293375392847038907028315748159083099414450132194482141878299557199494988809251909399056531659945874157224340448195856701087754672013928309967423823123271187576551120147997021623615248406077221320447346716145047192965090799965442402606527145361117385501371723164955204451585721236698466243373179432891578552183674636744824356378467409135206941077499447041396705179477041604755137151749060882095692454557378256017018966052525431748336248409698284585444647089687944769917193154545631406416741647874463888627304882207185261295441573477075841890109826695161690636647265985775737461750641595512730447714595933770574741846423824293981847406754721799376500414069677316180187915370513676053321581603956164987188221859393482827188659249471633473469313265777286067983473750216295328845849475747788534260986865254336581028625091678988488153361064375862007918724991243186952964225000391961360295958506737261251141437755563135496214955546980881467174863322281499673863460821801125611860470963097350751651331396217732575503307115895645242582987296538641698578307096966323177582215793529374502716188319062326292118239506802553645243630137789497204177538430358219750649792808727005958385345324594576180544498415325004106369240123677105754462972985781346697678533109181404433980394628132204565878890081900399351309885948022622533970048938909710083795870968670508775453142557595806868058670042714913824778117097420222808371341661634014283486729153832784590567368280796593983630865747944113354036001490754570106259034372380677597429396193354658059607093317653512250974058144592978775466352956161040923895611463718969580784459079824121073116759268812249738812229394291407886107317120710681321144272077557627189494607890811111274419398648857983330011756472110822178155163911433331613882042922952181991548451920418915820063743687515247283725490859280584164830476386774599544996556935455277503713966350857545560249787325019983302473653041574963001155481746151889246115321652201430635709694305283061833980659829554608629991182446117398220569425880606122832682316239413197894480784605207931061485646668189515050469562425620958871325845921443920445996402135759985840558613428370249118253935869715289709214914956793377249360490831744110196292041909957582238626465570328250484716271113316798026670720667104055362167259845265181455104022271185164540701286241771456427963732339255834260316523014351278276838787289463353725406961518441590165624307129077709797754859691187472830136988807515173066906601246190223952111233387282031968277048822131059477226296088889486503373934379884608615895651821002609133235693549511780505356360629691638611434428908486443402716404369596919443392774416958094912749563790557577615283649716424163916632155130002908275386735676357298538577498190633854397946038666027861123872838356248392052812146997764030617001942494400479419599227561906026247297371569129635851173656314962108123127178144255023722706054217383695942304615367500750680133585701443}
30676 2225113384002684709280902964191746708880196077252171750416529333381085801804218854221969: {153355,184026,797186,1349084,1899866,2267138,2539219,2634266,2819708,3219405,3434032,3554588,3832625,3863286,4183843,4599150,4905760,5023484,5095003,5458963,5518980,5886912,5931938,6622776,6911923,7450623,8734965,9317296,9582338,9667388,10481958,10704019,10941693,11038466,11602219,13025825,13148421,13812668,14246205,14464363,14800569,15195952,15630990,16478426,16673056,16776283,16953619,17000205,17095446,17201306,17619725,17662243,18133552,18542645,18546403,18645338,18657933,18757188,19213161,19428763,19523413,19891868,20316309,20400246,21143670,21832988,22075484,22211825,22245338,22251174,22553248,23813563,24162403,25033243,25372404,25473026,25554883,26188706,26422843,26654190,27160508,27481389,27623528,27890590,27975386,28326019,28431136,28528633,28651205,29335484,29402138,29687253,30048619,31076469,31335513,31985028,32004872,32603906,32619019,32713628,32789803,33039622,33468708,34159484,34377626,34381446,34400348,34643661,34731938,35173219,36005481,36021019,36250669,37542523,37879843,38755805,39677186,39843700,40157241,40171484,40233019,40755190,40785833,41436506,41905219,42207848,42330908,42810428,43529468,43542938,43663112,44270465,44400019,45228019,45294338,45924188,46506966,46528489,46878619,46899069,47199460,47483829,47812440,48358003,48437786,48554684,48856445,48906228,49121001,49134746,49177363,49963965,50704028,50999936,51051238,51786670,52135484,52971373,53124558,53294896,53788995,54280508,55709084,55832225,56631019,56639352,56791363,57148413,57374928,58071523,58184072,58221700,58627734,58831706,59187883,59275484,59883605,59956758,60700028,60776563,61238306,61347286,62144004,62952986,62988619,63020309,63618043,63652965,63719271,63775219,64322138,64403203,64546794,64560019,64664066,65457081,66469270,66747883,66998670,67309489,67427800,67681219,67805468,67836523,67896496,68033825,68314472,68514428,68666073,69055798,69076363,69121005,69866040,69944973,70794146,71465248,71860326,72290684,72462163,72488666,72502269,72827138,72930340,73704668,73729072,74446483,74523776,75358219,75673390,75856275,75866906,76023605,76267363,76383558,76853781,77234588,77404537,77886938,78599295,79114268,79349084,79763124,79939509,80398404,80475763,80625019,80774203,80913360,81221323,81447513,81519043,81640590,81745325,81929948,82945206,83248346,83267825,83595019,83839248,84100856,84176648,84916226,85246073,86307584,86312225,86389843,86580506,87053302,87083296,87121003,87516408,87638980,87831933,89643862,89882684,89898266,90808068,90949965,91027530,91228326,91470163,92871938,94319154,94613463,94698729,94790878,94956100,95487693,95896219,96162338,96636668,96961325,97013296,97096032,97102952,97375949,97872403,97968708,98030684,98094390,98356141,98455959,98651140,98855203,98977749,99921390,...,4895175258509355590777302930983555244911417220510832299471458344204882436108363024204570793717702283032943453340876857064939446966928924932515516685770482157987189248458302712270148443606705408460059858546331310365312553612454483525623968131983415491365376725400443155595903899096628125773454185474524187539963863923682948997850758809380666796695827924302534541425834248199690052507173209729477529736477388990511452367745590042434765596633292177087235177124376832092408354219486300748311428258475042564786607118863975389300387207801181045759628439069182104440296113404331976668191292666070345500071128121092363293585186789497537375761621146413098958603188667346922913920723393707321773437823409755619142172144061016655027108307918089070303051080902014600578578167778158287143529630833711037609283785681636222595398159856769597028097492040523186778532068266302774327722255881411609691991723224475278602517543089914977910021361108461668568272566391876762322195731850091338026920272910578567699928530893893812361790509884332939581301737922788052572032197191609197922631586632626486389545157446438576041417405703466404818884811231378290709560863292757456909292789942475678674200778028717869007392823951249348379066265117031338157670395162229372853620073835549980180747575674432126312050866477430950925861995463113711309499797071338226332789357062317954548462409546787709051391640158246854090370203363946297987074746548252958380884536143626857816361313765526454384873348687719104335838775699172042981454813970801287734927495054252077003198225168195330982299916262470980338448545790456159033876245072336316662981164921262729147725216331533061968699373781477968535723758123312843643002183523623599771713515515449925372660680400627421977344412410169042783550770740073996894945393963563168501776571927956177278341834751782702317538593987086315441299826364852920149198902056459062629939023908209009245089117511867254918938779552273904505207759025724500523796051876037754330878777465885933509592642855837732742932659985079002545865408708879927832209632453930927808934783672896018571079956565097497694916768734826863996028831486997874769628427263128954860062923953454399953923203475369527148156514001828964219940272602114294982264621657830905910522104736244899515659765808504623212180275921436665929388528940239302722139673516202332081176127589939409837674689358621403367242331114997879597712780592862786250593026556257539394175208555655530499285184836406509609580348393922097969434455853479768926882254182196354647700983282334188794016973930286127911694099655795231765725309129875672962399168667218759569754906917220494018234737762108805274886649584295812524643769584878999295511297959084354369714757311298333621727105127799300997051379014649153672448774704833455571984650871148085834482677224966654990915937285633333855948480394611342316348334855250340750847328286607395974508622899817763041999565151281095734834149147294617463134335535108528290310100671076154527526990110649728718188931437742795955097570109621058039166003621584425416435056157652675736738193658173517052662938903384573810959667533057078302674611180460432792768240725997887100005475158986831569474339283963981041795596904710812241872578640526170842939421171853442533865801746514597363496711960065251879613445061161291560678367270856743461075824078226723619885099704156129893630411161788882178685711315638871777046120756491041062125311507820997258817805381335321006093475012045829840903463239194924472877412809457756871349667965410859457305033955137274881387898527481951625292774379278773098828097489012358416332985082972525721877181476422827614241761525696103410169585992810521081481699225864865143977773349008629481096237540218548577775485176057230602909322064602560558554426751658250020329711633987812374112219773968515699466059995409247273703338285288467810060746999716433359977736631537388766617334873975661535852328153762202935240847612925740377415778640879772739478173321576594823197627425901174141497110243088319217597192641046140277241415314195557586020067292749900827945161767794561925227261328536181013314454078151237826998824338581159620386278953219942391169665813987775658813595056055879943442984835287427104333979621694817755730702227627556138740482889679793686908606805363028246886054268381655695275237284976452341112347088697352468371035785049719284471633875948691255453554165742838770279730339812921583297106849318410020230755875468328253631936148311183042709291036065096174745969635061451852648671165245839846144821194202428003478844314258066015707340475147506255518148579238544648591203621872492795892591190365889277459883666085054076770153711532955232218555509540173337211033848980901809731384769997587511805863928051554703814831830451141664522737082862663685374156002589992533972559465636749208034996396495425506181134898208419949477497502904192340031630274738956511594589739487156667667573511447601924}
30677 2231949803365979237682264337385894941100714850995979135264775730455064135077592691855719: {30677,245368,276039,1195779,1686355,2023626,2849799,3004778,3400707,3524635,3951399,4229562,4292540,4443235,5151048,5331882,5731363,5794929,6132200,6279355,6898725,7358640,7535226,7752679,7849216,8152634,8278470,8830368,8855827,8897907,9773203,9934164,10359362,11646620,11979067,12084235,13296458,13975944,14373507,14501082,14588924,15101083,15137642,15722937,15866858,16203799,16557699,17265835,17531228,18994940,19734092,20719002,20841320,22119914,22666940,22793928,23446485,24170587,24566179,24688586,24717639,24864835,24877244,25009584,25617548,25643169,25801959,27088412,27200328,27291235,27594355,27968007,28004263,28135782,28191560,28237339,29668232,29837802,29934883,30600369,31715505,32749482,33113226,33368007,33376761,33829872,33950635,34529410,34845427,35538920,35967943,36637843,36641852,36669355,36931867,37977379,38058606,38205223,38209539,39283059,39583004,39981285,40006090,40740762,40892035,41435292,41780684,41835885,41963079,42504787,42646704,42662983,42699355,42921979,43000435,43144147,44003226,44103207,44624944,45841928,46007203,46191548,46633034,47786266,47977542,48007308,48905859,49070442,49559433,49804625,50017363,50203062,50214355,50264299,50911063,51239226,51566439,51572169,51600522,52097907,52469803,52689043,52759810,52913635,53201227,53505307,53513035,53542988,53935459,54411835,54578890,55575907,57405235,58028179,58638883,58999325,59409434,59515779,59765550,59775163,60257226,60693355,61132785,62009288,62154759,62532092,62958043,63311772,63380035,63496362,63749920,64215642,64512938,65169355,65208304,65294202,65314407,65494668,66026323,66208987,66618620,66692263,67850635,67941507,67988083,68172667,68574259,68886282,69636355,69760449,70799190,70832744,70974619,71718660,71931178,72656679,72730090,72777125,72832026,73359342,73588249,73654567,73702119,73965763,74094355,75519136,75875035,76056042,76167307,76197884,76499904,76576857,77680005,78025987,78170312,78203226,78316603,78872779,79686837,79942344,79992583,81420762,81837002,82858672,83029402,83563626,84284750,84306763,84507187,84756835,84870620,84886634,84959028,84965083,85393090,85643035,86062392,86370979,86569627,86587202,87276108,87332550,87941601,87955879,88247559,88913226,89331560,89935137,90363355,91050042,91162925,91554764,91792154,91857459,92020929,92130835,92161340,92175499,92595283,93154720,93216006,93259964,93840547,94042882,94429479,95813768,96159067,96483207,96533779,96543235,96669692,96747943,96820191,96996099,98733607,98892835,98932843,98974123,99186355,99703905,99962227,...,7342762887764033386165954396475332867367125830766248449207187516307323654162544536306856190576553424549415180011315285597409170450393387398773275028655723236980783872687454068405222665410058112690089787819496965547968830418681725288435952197975123237048065088100664733393855848644942188660181278211786281309945795885524423496776138214071000195043741886453801812138751372299535078760759814594216294604716083485767178551618385063652148394949938265630852765686565248138612531329229451122467142387712563847179910678295963083950580811701771568639442658603773156660444170106497965002286938999105518250106692181638544940377780184246306063642431719619648437904783001020384370881085090560982660156735114633428713258216091524982540662461877133605454576621353021900867867251667237430715294446250566556413925678522454333893097239785154395542146238060784780167798102399454161491583383822117414537987584836712917903776314634872466865032041662692502852408849587815143483293597775137007040380409365867851549892796340840718542685764826499409371952606884182078858048295787413796883947379948939729584317736169657864062126108555199607228327216847067436064341294939136185363939184913713518011301167043076803511089235926874022568599397675547007236505592743344059280430110753324970271121363511648189468076299716146426388792993194670566964249695607007339499184035593476931822693614320181563577087460237370281135555305045919446980612119822379437571326804215440286724541970648289681577310023031578656503758163548758064472182220956201931602391242581378115504797337752292996473449874393706470507672818685684238550814367608504474994471747381894093721587824497299592953049060672216952803585637184969265464503275285435399657570273273174888058991020600941132966016618615253564175326156110110995342418090945344752752664857891934265917512752127674053476307890980629473161949739547279380223798353084688593944908535862313513867633676267800882378408169328410856757811638538586750785694077814056631496318166198828900264388964283756599114398989977618503818798113063319891748314448680896391713402175509344027856619934847646246542375153102240295994043247230496812154442640894693432290094385930181599930884805213054290722234771002743446329910408903171442473396932486746358865783157104367349273489648712756934818270413882154998894082793410358954083209510274303498121764191384909114756512034037932105050863496672496819396569170889294179375889539834386309091262812833483295748927777254609764414370522590883146954151683780219653390323381273294531971551474923501283191025460895429191867541149483692847648587963694813509443598753000828139354632360375830741027352106643163207912329974376443718786965654377318498943266946938626531554572135966947500432590657691698951495577068521973730508673162057250183357976976306722128751724015837449982486373905928450000783922720591917013474522502282875511126270992429911093961762934349726644562999347726921643602251223720941926194701503302662792435465151006614231791290485165974593077283397156614193932646355164431587058749005432376638124652584236479013605107290487260275578994408355076860716439501299585617454011916770690649189152361088996830650008212738480247354211508925945971562693395357066218362808867960789256264409131757780163800798702619771896045245067940097877819420167591741937341017550906285115191613736117340085429827649556234194840445616742683323268028566973458307665569181134736561593187967261731495888226708072002981509140212518068744761355194858792386709316119214186635307024501948116289185957550932705912322081847791222927437939161568918159648242146233518537624499477624458788582815772214634241421362642288544155115254378989215781622222548838797297715966660023512944221644356310327822866663227764085845904363983096903840837831640127487375030494567450981718561168329660952773549199089993113870910555007427932701715091120499574650039966604947306083149926002310963492303778492230643304402861271419388610566123667961319659109217259982364892234796441138851761212245665364632478826395788961569210415862122971293336379030100939124851241917742651691842887840891992804271519971681117226856740498236507871739430579418429829913586754498720981663488220392584083819915164477252931140656500969432542226633596053341441334208110724334519690530362910208044542370329081402572483542912855927464678511668520633046028702556553677574578926707450813923036883180331248614258155419595509719382374945660273977615030346133813202492380447904222466774564063936554097644262118954452592177778973006747868759769217231791303642005218266471387099023561010712721259383277222868857816972886805432808739193838886785548833916189825499127581115155230567299432848327833264310260005816550773471352714597077154996381267708795892077332055722247745676712496784105624293995528061234003884988800958839198455123812052494594743138259271702347312629924216246254356288510047445412108434767391884609230735001501360267171402886}
30678 2238807105731171709470228632797074681244327469375648360752637032095470948975889805735940: {214697,306710,368052,521237,888821,1256117,1439657,1594372,2698168,3035439,3088277,3799732,4244921,4507167,4534276,4548821,5078438,5268532,5365675,5519957,5639416,6344343,6428537,6438810,6868064,6972821,7109176,7637177,7665250,7726572,7997823,8367686,9198300,9444137,9811520,10044857,10046968,10190006,10224917,10884521,10917926,11037960,11302839,11773824,11863876,12228951,12380021,12417705,12678521,13245552,13823846,14108537,14558275,14821817,14901246,15356021,15539043,16304117,17132021,17469930,17663417,18236155,18253097,18606521,18634592,18959657,19164676,19334776,19944687,20963916,21408038,21540521,21751623,21883386,21914035,22076932,22475177,22650197,22706463,22766837,23204438,23743675,23800287,23815157,24222137,24667615,24686777,25614521,25959703,26051650,26296842,27348521,27625336,27867317,28333675,28492410,28928726,29601138,29936021,30391904,31078503,31080821,31096555,31261980,32021935,32279417,32450357,32792021,32956852,33179871,33346112,33552566,33860515,33907238,33985577,34000410,34190892,34402612,35239450,35324486,36267104,36756821,37032879,37085290,37092806,37290676,37315866,37514376,37545077,37601321,37882421,37938617,38426322,38857526,39046826,39783736,40068137,40111687,40459157,40632618,40800492,41240021,41741177,42203673,42287340,42297257,42963497,43407017,43665976,43739321,44071337,44150968,44423650,44490676,44502348,44624057,44756703,45106496,45120821,45802315,46552277,47046521,47627126,48087797,48201439,48324806,48416021,49124223,49235321,49478755,49669839,50066486,50744808,50946052,51109766,51357077,51794115,52225855,52278137,52377412,52845686,53308380,53628437,53897897,54258127,54321016,54382421,54866297,54962778,55247056,55781180,55950772,55992821,56652038,56862272,57057266,57087909,57302410,57739435,57809237,58128821,58670968,58804276,59374506,59510357,59669417,59987321,60009135,60097238,60780821,60833657,60992117,61097717,61111143,61625237,61978651,62099321,62152938,62671026,63674921,63970056,64009744,64407737,64460021,65207812,65238038,65427256,65579606,66004839,66079244,66928735,66937416,67115897,67375157,67582421,67841321,68318968,68399023,68755252,68762892,68800696,69287322,69390521,69463876,69596537,69853877,69949551,70346438,70434463,71679399,71966313,72010962,72042038,72467321,72501338,72773417,73232021,73537397,73605663,74198057,74478547,74502521,74958677,75085046,75304593,75759686,75818537,76323257,76858839,77400783,77481077,77511610,78165115,79139715,79334777,79354372,79584437,79687400,80033321,80232617,80314482,80342968,80466038,81227177,81510380,81524921,81571666,81868335,82873012,83273275,83810438,83837047,84415696,84535637,84661816,84682937,85620856,86396117,87058936,87085876,87176021,87326224,87711017,88438997,88540930,88632821,88800038,89114151,89165177,89648297,89648325,90385839,90456038,90588676,91848376,92912297,93013932,93056978,93757238,93798138,94340537,94398920,94967658,95099321,95244543,95247355,95624880,96323463,96716006,96769407,96799097,96875572,97109368,97712890,97812456,97879637,97941303,98242002,98269492,98354726,99609017,99748757,99927930,...,11014144331646050079248931594712999301050688746149372673810781274460985481243816804460284285864830136824122770016972928396113755675590081098159912542983584855471175809031181102607833998115087169035134681729245448321953245628022587932653928296962684855572097632150997100090783772967413282990271917317679421964918693828286635245164207321106500292565612829680702718208127058449302618141139721891324441907074125228650767827427577595478222592424907398446279148529847872207918796993844176683700713581568845770769866017443944625925871217552657352959163987905659734990666255159746947503430408498658277375160038272457817410566670276369459095463647579429472656857174501530576556321627635841473990235102671950143069887324137287473810993692815700408181864932029532851301800877500856146072941669375849834620888517783681500839645859677731593313219357091177170251697153599181242237375075733176121806981377255069376855664471952308700297548062494038754278613274381722715224940396662705510560570614048801777324839194511261077814028647239749114057928910326273118287072443681120695325921069923409594376476604254486796093189162832799410842490825270601154096511942408704278045908777370570277016951750564615205266633853890311033852899096513320510854758389115016088920645166129987455406682045267472284202114449574219639583189489792005850446374543410511009248776053390215397734040421480272345365631190356055421703332957568879170470918179733569156356990206323160430086812955972434522365965034547367984755637245323137096708273331434302897403586863872067173257196006628439494710174811590559705761509228028526357826221551412756712491707621072841140582381736745949389429573591008325429205378455777453898196754912928153099486355409909762332088486530901411699449024927922880346262989234165166493013627136418017129128997286837901398876269128191511080214461836470944209742924609320919070335697529627032890917362803793470270801450514401701323567612253992616285136717457807880126178541116721084947244477249298243350396583446425634898671598484966427755728197169594979837622471673021344587570103263264016041784929902271469369813562729653360443991064870845745218231663961342040148435141578895272399896327207819581436083352156504115169494865613354757163710095398730119538298674735656551023910234473069135402227405620823232498341124190115538431124814265411455247182646287077363672134768051056898157576295245008745229094853756333941269063834309751579463636894219250224943623391665881914646621555783886324720431227525670329480085485071909941797957327212385251924786538191343143787801311724225539271472881945542220264165398129501242209031948540563746111541028159964744811868494961564665578180448481565977748414900420407939797331858203950421250648885986537548427243365602782960595763009743085875275036965464460083193127586023756174973729560858892675001175884080887875520211783753424313266689406488644866640942644401524589966844499021590382465403376835581412889292052254953994188653197726509921347686935727748961889615925095734921290898969532746647380588123508148564957186978876354718520407660935730890413368491612532615291074659251949378426181017875156035973783728541633495245975012319107720371031317263388918957344040093035599327544213301941183884396613697636670245701198053929657844067867601910146816729130251387612906011526326359427672787420604176010128144741474334351292260668425114024984902042850460187461498353771702104842389781950892597243832340062108004472263710318777103117142032792288188580063974178821279952960536752922174433778936326399058868483122771686834391156908742353377239472363219350277806436749216436688182874223658321951362132043963432816232672881568483823672433333823258195946573949990035269416332466534465491734299994841646128768856545974645355761256747460191231062545741851176472577841752494491429160323798634989670806365832511141899052572636680749361975059949907420959124724889003466445238455667738345964956604291907129082915849185501941979488663825889973547338352194661708277641818368498046948718239593683442353815623793184456940004568545151408687276862876613977537764331761337989206407279957521675840285110747354761807609145869127644744870380131748081472495232330588876125729872746715879396710984751454148813339950394080012162001312166086501779535795544365312066813555493622103858725314369283891197017767502780949569043053834830516361868390061176220884555324770496872921387233129393264579073562418490410966422545519200719803738570671856333700161846095904831146466393178431678888266668459510121803139653825847686955463007827399707080648535341516069081889074915834303286725459330208149213108790758330178323250874284738248691371672732845850949149272491749896465390008724826160207029071895615732494571901563193838115998083583371618515068745176158436440993292091851005827483201438258797682685718078741892114707388907553520968944886324369381534432765071168118162652151087826913846102502252040400757104329}
30679 2245685354520685998168458505459835132431508278072433437281892546216363424909001735976894: {61354,460065,490736,552078,1992965,2360897,2391558,3372710,4047252,4749665,4934489,5667845,5699598,6009556,6220529,6405641,6585665,6773429,6801414,7049270,7617657,7902798,8459124,8585080,8791097,8886470,9162257,9658215,9897689,10302096,10447217,10663764,11462726,11497875,11550149,11589858,12264400,12466817,12551529,12558710,13388369,13797450,14717280,14829845,15070452,15285009,15505358,15698432,16142537,16305268,16376889,16556940,16877681,16917929,17660736,17711654,17795814,19546406,19868328,20718724,20735769,22351869,23293240,23955845,23958134,24168470,24172169,26204895,26592916,27596165,27951888,28747014,29002164,29032757,29177848,30202166,30275284,31445874,31733716,32112057,32407598,32825079,33115398,34531670,34806657,34810769,35062456,35377589,36640241,37989880,38207729,38632097,38944889,39077475,39445263,39468184,41196065,41438004,41682640,42507569,42738615,43003265,43299269,43393089,44239828,44401707,44882357,45333880,45587856,46613345,46678841,46892970,47530889,48219929,48341174,49132358,49377172,49435278,49729670,49754488,50019168,50328849,50419889,50688737,50860857,51000615,51235096,51286338,51337097,51603918,52859175,52986729,53508809,54176824,54372149,54400656,54582470,55188710,55558409,55613345,55627935,55639209,55936014,55973799,56008526,56271564,56383120,56474678,56566457,56614709,57248849,57639483,58286289,58570239,58642721,59111429,59336464,59675604,59779097,59800049,59869766,60200609,60948927,61200738,62114249,62268869,63431010,63682565,64731509,65471765,65498964,66226452,66635475,66696641,66736014,66753522,67299977,67659744,67901270,68177129,68578757,69058820,69690854,69726475,69938465,70300097,71077840,71440689,71935886,72380057,72487209,73275686,73283704,73338710,73505345,73863734,74079089,74918249,75099729,75954758,75986681,76117212,76176569,76410446,76419078,76473077,76664649,77573849,78031109,78566118,78818129,79166008,79268529,79962570,80012180,80367329,80661977,81481524,81509765,81784070,82444167,82599055,82870584,83561368,83671770,83926158,84312281,84970697,84978057,85009574,85293408,85325966,85398710,85585899,85843958,85944065,85945589,85953615,86000870,86288294,86829845,87530321,88006452,88206414,88732049,89061759,89175209,89249888,90145857,91237097,91683856,92014406,92383096,92601377,93229407,93266068,93846689,94006539,94449209,94536689,94990889,95572532,95955084,96014616,96754289,97490897,97562849,97811718,97857057,98140884,98369409,98980601,99118866,99192965,99609250,99968789,...,14685525775528066772331908792950665734734251661532496898414375032614647308325089072613712381153106849098830360022630571194818340900786774797546550057311446473961567745374908136810445330820116225380179575638993931095937660837363450576871904395950246474096130176201329466787711697289884377320362556423572562619891591771048846993552276428142000390087483772907603624277502744599070157521519629188432589209432166971534357103236770127304296789899876531261705531373130496277225062658458902244934284775425127694359821356591926167901161623403543137278885317207546313320888340212995930004573877998211036500213384363277089880755560368492612127284863439239296875809566002040768741762170181121965320313470229266857426516432183049965081324923754267210909153242706043801735734503334474861430588892501133112827851357044908667786194479570308791084292476121569560335596204798908322983166767644234829075975169673425835807552629269744933730064083325385005704817699175630286966587195550274014080760818731735703099785592681681437085371529652998818743905213768364157716096591574827593767894759897879459168635472339315728124252217110399214456654433694134872128682589878272370727878369827427036022602334086153607022178471853748045137198795351094014473011185486688118560860221506649940542242727023296378936152599432292852777585986389341133928499391214014678998368071186953863645387228640363127154174920474740562271110610091838893961224239644758875142653608430880573449083941296579363154620046063157313007516327097516128944364441912403863204782485162756231009594675504585992946899748787412941015345637371368477101628735217008949988943494763788187443175648994599185906098121344433905607171274369938530929006550570870799315140546546349776117982041201882265932033237230507128350652312220221990684836181890689505505329715783868531835025504255348106952615781961258946323899479094558760447596706169377187889817071724627027735267352535601764756816338656821713515623277077173501571388155628113262992636332397657800528777928567513198228797979955237007637596226126639783496628897361792783426804351018688055713239869695292493084750306204480591988086494460993624308885281789386864580188771860363199861769610426108581444469542005486892659820817806342884946793864973492717731566314208734698546979297425513869636540827764309997788165586820717908166419020548606996243528382769818229513024068075864210101726993344993638793138341778588358751779079668772618182525625666966591497855554509219528828741045181766293908303367560439306780646762546589063943102949847002566382050921790858383735082298967385695297175927389627018887197506001656278709264720751661482054704213286326415824659948752887437573931308754636997886533893877253063109144271933895000865181315383397902991154137043947461017346324114500366715953952613444257503448031674899964972747811856900001567845441183834026949045004565751022252541984859822187923525868699453289125998695453843287204502447441883852389403006605325584870930302013228463582580970331949186154566794313228387865292710328863174117498010864753276249305168472958027210214580974520551157988816710153721432879002599171234908023833541381298378304722177993661300016425476960494708423017851891943125386790714132436725617735921578512528818263515560327601597405239543792090490135880195755638840335183483874682035101812570230383227472234680170859655299112468389680891233485366646536057133946916615331138362269473123186375934523462991776453416144005963018280425036137489522710389717584773418632238428373270614049003896232578371915101865411824644163695582445854875878323137836319296484292467037075248998955248917577165631544429268482842725284577088310230508757978431563244445097677594595431933320047025888443288712620655645733326455528171691808727966193807681675663280254974750060989134901963437122336659321905547098398179986227741821110014855865403430182240999149300079933209894612166299852004621926984607556984461286608805722542838777221132247335922639318218434519964729784469592882277703522424491330729264957652791577923138420831724245942586672758060201878249702483835485303383685775681783985608543039943362234453713480996473015743478861158836859659827173508997441963326976440785168167639830328954505862281313001938865084453267192106682882668416221448669039381060725820416089084740658162805144967085825711854929357023337041266092057405113107355149157853414901627846073766360662497228516310839191019438764749891320547955230060692267626404984760895808444933549128127873108195288524237908905184355557946013495737519538434463582607284010436532942774198047122021425442518766554445737715633945773610865617478387677773571097667832379650998255162230310461134598865696655666528620520011633101546942705429194154309992762535417591784154664111444495491353424993568211248587991056122468007769977601917678396910247624104989189486276518543404694625259848432492508712577020094890824216869534783769218461470003002720534342805772}
30680 2252584613348449374052331679907339798227346920781005514887463818853453225227287805830657: {92031,429394,582559,613420,736104,828117,950119,1042474,1133791,1317391,1777642,2512234,2879314,3149431,3188744,3587337,3880231,4609879,4974271,5059065,5396336,6070878,6176554,6428959,7511945,7599464,8421631,8489842,8549397,9014334,9068552,9097642,9504871,10156876,10202121,10537064,10573905,10731350,11039914,11124871,11278832,11304511,11854197,12380839,12688686,12739039,12857074,12877620,13275799,13329705,13736128,13811911,13945642,14218352,15060319,15274354,15330500,15453144,15995646,16305199,16482751,16735372,17192239,17194089,17369431,17384787,18396600,18838065,18888274,19623040,20089714,20093936,20380012,20381585,20449834,20696175,20722399,21769042,21835852,21951151,22075920,22605678,23258037,23547648,23727752,24457902,24746479,24760042,24835410,25357042,25530617,25898405,26137231,26491104,26567481,26693721,27350359,27647692,28217074,29116550,29319609,29593951,29643634,29802492,29938039,30679649,30712042,30796999,31078086,31140079,31654159,32338591,32608234,33241145,34044631,34264042,34534661,34939860,35326834,35937201,36252705,36420991,36472310,36506194,37213042,37269184,37603879,37844105,37919314,37941199,38109751,38329352,38669552,39667145,39889374,41799679,41927832,42633439,42816076,42966439,43081042,43120521,43465399,43503246,43535177,43766772,43828070,44153864,44830709,44950354,44958391,45123919,45300394,45303249,45412926,45533674,45950479,46408876,47104639,47168811,47404721,47487350,47600574,47630314,48091111,48255271,48444274,48611397,49335230,49373554,49673097,50545951,50709031,50872039,51229042,51797505,51919406,52011079,52103300,52593684,53793871,53955511,54697042,55250672,55299785,55734634,56050279,56667350,56965337,56984820,57173191,57653359,57813271,57857452,58771231,59202276,59567551,59726599,59872042,60783808,60837919,61154791,61721465,62157006,62161642,62193110,62523960,62734831,63993679,64043870,64123241,64464559,64558834,64900714,64934791,65091391,65584042,65913704,66359742,66692224,67105132,67120639,67431751,67721030,67814476,67971154,68000820,68381784,68805224,69270257,70339455,70478900,70648972,71910511,72511761,72534208,72829591,73116197,73513642,73698537,74065758,74152917,74170580,74185612,74581352,74594505,74631732,75028752,75090154,75115951,75202642,75764842,75874471,75877234,76025959,76852644,76929507,77405877,77715052,77988751,78093652,78890551,79490311,79567472,80136274,80223374,80238391,80835209,80918314,80984671,81265236,81600984,81873705,82480042,82783065,83240729,83482354,83904021,84012789,84246919,84407346,84574680,84594514,84712017,85926994,86323525,86814034,87331952,87478642,88020101,88142674,88301936,88847300,88981352,89004696,89220031,89248114,89513406,89654839,89804649,90212992,90241642,90666871,90811159,91387591,91604630,91801107,93104554,93700229,94093042,94394959,95146515,95254252,96175594,96402878,96649612,96806239,96832042,97652311,97793071,98248446,98355391,98470642,98957510,99339678,...,22028288663292100158497863189425998602101377492298745347621562548921970962487633608920568571729660273648245540033945856792227511351180162196319825085967169710942351618062362205215667996230174338070269363458490896643906491256045175865307856593925369711144195264301994200181567545934826565980543834635358843929837387656573270490328414642213000585131225659361405436416254116898605236282279443782648883814148250457301535654855155190956445184849814796892558297059695744415837593987688353367401427163137691541539732034887889251851742435105314705918327975811319469981332510319493895006860816997316554750320076544915634821133340552738918190927295158858945313714349003061153112643255271682947980470205343900286139774648274574947621987385631400816363729864059065702603601755001712292145883338751699669241777035567363001679291719355463186626438714182354340503394307198362484474750151466352243613962754510138753711328943904617400595096124988077508557226548763445430449880793325411021121141228097603554649678389022522155628057294479498228115857820652546236574144887362241390651842139846819188752953208508973592186378325665598821684981650541202308193023884817408556091817554741140554033903501129230410533267707780622067705798193026641021709516778230032177841290332259974910813364090534944568404228899148439279166378979584011700892749086821022018497552106780430795468080842960544690731262380712110843406665915137758340941836359467138312713980412646320860173625911944869044731930069094735969511274490646274193416546662868605794807173727744134346514392013256878989420349623181119411523018456057052715652443102825513424983415242145682281164763473491898778859147182016650858410756911554907796393509825856306198972710819819524664176973061802823398898049855845760692525978468330332986027254272836034258257994573675802797752538256383022160428923672941888419485849218641838140671395059254065781834725607586940541602901028803402647135224507985232570273434915615760252357082233442169894488954498596486700793166892851269797343196969932855511456394339189959675244943346042689175140206526528032083569859804542938739627125459306720887982129741691490436463327922684080296870283157790544799792654415639162872166704313008230338989731226709514327420190797460239076597349471313102047820468946138270804454811241646464996682248380231076862249628530822910494365292574154727344269536102113796315152590490017490458189707512667882538127668619503158927273788438500449887246783331763829293243111567772649440862455051340658960170970143819883595914654424770503849573076382686287575602623448451078542945763891084440528330796259002484418063897081127492223082056319929489623736989923129331156360896963131955496829800840815879594663716407900842501297771973075096854486731205565921191526019486171750550073930928920166386255172047512349947459121717785350002351768161775751040423567506848626533378812977289733281885288803049179933688998043180764930806753671162825778584104509907988377306395453019842695373871455497923779231850191469842581797939065493294761176247016297129914373957752709437040815321871461780826736983225065230582149318503898756852362035750312071947567457083266990491950024638215440742062634526777837914688080186071198655088426603882367768793227395273340491402396107859315688135735203820293633458260502775225812023052652718855345574841208352020256289482948668702584521336850228049969804085700920374922996707543404209684779563901785194487664680124216008944527420637554206234284065584576377160127948357642559905921073505844348867557872652798117736966245543373668782313817484706754478944726438700555612873498432873376365748447316643902724264087926865632465345763136967647344866667646516391893147899980070538832664933068930983468599989683292257537713091949290711522513494920382462125091483702352945155683504988982858320647597269979341612731665022283798105145273361498723950119899814841918249449778006932890476911335476691929913208583814258165831698371003883958977327651779947094676704389323416555283636736996093897436479187366884707631247586368913880009137090302817374553725753227955075528663522675978412814559915043351680570221494709523615218291738255289489740760263496162944990464661177752251459745493431758793421969502908297626679900788160024324002624332173003559071591088730624133627110987244207717450628738567782394035535005561899138086107669661032723736780122352441769110649540993745842774466258786529158147124836980821932845091038401439607477141343712667400323692191809662292932786356863357776533336919020243606279307651695373910926015654799414161297070683032138163778149831668606573450918660416298426217581516660356646501748569476497382743345465691701898298544983499792930780017449652320414058143791231464989143803126387676231996167166743237030137490352316872881986584183702011654966402876517595365371436157483784229414777815107041937889772648738763068865530142336236325304302175653827692205004504080801514208658}
30681 2259504946020467403737068648379708026951137223330407752580100158500907375983770435768856: {122708,644091,766775,920130,981472,1104156,1563711,2666463,2790151,3768351,3985930,4318971,4721794,4783116,6649531,6745420,7570303,7934983,8094504,9106317,9219931,9264831,9499330,9868978,11062123,11335690,11399196,12019112,12346711,12441058,12696095,12734763,12811282,13171330,13521501,13546858,13602828,13646463,14098540,14733511,15235314,15805596,16097025,16559871,16918248,17170160,17582194,17772940,18041659,18324514,19033029,19163125,19285611,19316430,19795378,20604192,20761783,20894434,20918463,20919215,21327528,22911531,22925452,22995750,23100298,23179716,23993469,24528800,24933634,25103058,25117420,25475015,26776738,27294815,27594900,28332411,29434560,29659690,30134571,30140904,30570018,30674751,31010716,31396864,32285074,32610536,32653563,32753778,33113880,33538183,33755362,33835858,33908517,34559615,35321472,35423308,35591628,36686853,36925751,37140063,37253115,37982351,38035563,38634631,39092812,39736656,41437448,41471538,42325611,43302103,43674825,44006699,44465451,44703738,46068063,46586480,46617129,47911690,47916268,48336940,48344338,48912351,51396063,52344623,52409790,52990251,53185832,53520095,54708465,54759291,55165903,55192330,55583183,55819563,55903776,56878971,57494028,57674491,58004328,58011095,58035791,58065514,58355696,58952711,59803963,59834061,59904871,60036779,60204571,60404332,60550568,62891748,63275263,63467432,64224114,64621563,64815196,65129125,65254869,65258683,65650158,65742105,66230796,67425531,67950591,68119389,68300511,69063340,69195751,69613314,69621538,70124912,70755178,70983911,71231025,71400861,71445471,72321815,72666411,73280482,74002845,74060331,75800383,75979760,76415458,76843563,77264194,77858683,77879109,77889778,78154950,78823303,78890526,78936368,80003099,80203471,82045563,82392130,82876008,83365280,83601951,83881415,84768095,85001025,85015138,85477230,86006530,86580983,86598538,86786178,88098625,88311215,88479656,88803414,89155591,89674031,89764714,89808063,90667760,91175712,91660471,91872871,92713225,92732015,93226690,93235509,93242463,93289665,93357682,93785940,93932399,95061778,95327791,96065805,96439858,96682348,96838251,97143815,97351071,97617065,97913851,98264716,98376063,98754344,98870556,99459340,99508976,99539613,...,33042432994938150237746794784138997903152066238448118021432343823382956443731450413380852857594490410472368310050918785188341267026770243294479737628950754566413527427093543307823501994345261507105404045187736344965859736884067763797961784890888054566716292896452991300272351318902239848970815751953038265894756081484859905735492621963319500877696838489042108154624381175347907854423419165673973325721222375685952303482282732786434667777274722195338837445589543616623756390981532530051102140744706537312309598052331833877777613652657972058877491963716979204971998765479240842510291225495974832125480114817373452231700010829108377286390942738288417970571523504591729668964882907524421970705308015850429209661972411862421432981078447101224545594796088598553905402632502568438218825008127549503862665553351044502518937579033194779939658071273531510755091460797543726712125227199528365420944131765208130566993415856926100892644187482116262835839823145168145674821189988116531681711842146405331974517583533783233442085941719247342173786730978819354861217331043362085977763209770228783129429812763460388279567488498398232527472475811803462289535827226112834137726332111710831050855251693845615799901561670933101558697289539961532564275167345048266761935498389962366220046135802416852606343348722658918749568469376017551339123630231533027746328160170646193202121264440817036096893571068166265109998872706637511412754539200707469070970618969481290260438867917303567097895103642103954266911735969411290124819994302908692210760591616201519771588019885318484130524434771679117284527684085579073478664654238270137475122863218523421747145210237848168288720773024976287616135367332361694590264738784459298459066229729286996265459592704235098347074783768641038788967702495499479040881409254051387386991860513704196628807384574533240643385509412832629228773827962757211007092588881098672752088411380410812404351543205103970702836761977848855410152373423640378535623350163254841733431747894730051189750339276904696014795454899283267184591508784939512867415019064033762710309789792048125354789706814408109440688188960081331973194612537235654694991884026120445305424736685817199688981623458744308250056469512345508484596840064271491130286196190358614896024206969653071730703419207406206682216862469697495023372570346615293374442796234365741547938861232091016404304153170694472728885735026235687284561269001823807191502929254738390910682657750674830870174997645743939864667351658974161293682577010988440256455215729825393871981637155755774359614574029431363403935172676617814418645836626660792496194388503726627095845621691238334623084479894234435605484884693996734541345444697933245244701261223819391995574611851263751946657959612645281730096808348881787289029229257625825110896393380249579382758071268524921188682576678025003527652242663626560635351260272939800068219465934599922827933204573769900533497064771147396210130506744238667876156764861982565959593179529764043060807183246885668847775287204763872696908598239942141764370524445694871560936629064155561222982807192671240105474837597845873223977755848135278543053625468107921351185624900485737925036957323161113093951790166756872032120279106797982632639905823551653189841092910010737103594161788973532203602805730440450187390754162838718034578979078283018362261812528030384434224423003053876782005275342074954706128551380562384495061315106314527169345852677791731497020186324013416791130956331309351426098376864565740191922536463839858881610258766523301336808979197176605449368315060503173470726227060131718417089658050833419310247649310064548622670974965854086396131890298448698018644705451471017300001469774587839721849970105808248997399603396475202899984524938386306569637923936067283770242380573693187637225553529417733525257483474287480971395904969012419097497533425697157717910042248085925179849722262877374174667010399335715367003215037894869812875721387248747547556505825938465991477669920642015056583985124832925455105494140846154718781050327061446871379553370820013705635454226061830588629841932613292995284013967619221839872565027520855332242064285422827437607382934234611140395244244417485696991766628377189618240147638190132954254362446440019851182240036486003936498259505338607386633095936200440666480866311576175943107851673591053302508342848707129161504491549085605170183528662653665974311490618764161699388179793737220687255471232899267636557602159411215712015569001100485538287714493439399179535295036664800005378530365409418961477543060866389023482199121241945606024548207245667224747502909860176377990624447639326372274990534969752622854214746074115018198537552847447817475249689396170026174478480621087215686847197483715704689581514347994250750114855545206235528475309322979876275553017482449604314776393048057154236225676344122166722660562906834658973108144603298295213504354487956453263480741538307506756121202271312987}
30682 2266446416535400565648524188803626084770016183626287458029710730281473948336913057769369: {153385,184062,337381,858788,1165118,1226840,1380195,1472208,1656234,1900238,2084948,2267582,2634782,2722777,3555284,5024468,5278057,5758628,5823781,5978895,6298862,6377488,7082691,7094617,7174674,7638181,7760462,8431775,8903977,9219758,9948542,10118130,10516723,10792672,10885957,11783977,12141756,12353108,12857918,14248995,14467237,14803467,15023890,15198928,15713881,16843262,16956997,16979684,17003535,17098794,17134297,17623175,17842777,18028668,18137104,18195284,18661587,19009742,19216923,19608937,19756995,20313752,20320287,20404242,21074128,21147810,21462700,22079828,22216175,22249742,22557664,22609022,22769881,22852971,23708394,24167257,24761678,25377372,25478078,25714148,25733797,25755240,26373291,26551598,26659410,27472256,27486771,27623822,27640537,27891284,27986281,28436704,28534219,28656815,28974645,29693067,30054697,30120638,30226597,30548708,30661000,30906288,31085017,31341651,31396775,31991292,32610398,32796457,32965502,33470744,33990181,34384478,34388178,34493625,34650447,34738862,34769574,34840681,36197737,36257767,36793200,37043557,37400451,37654587,37676130,37718917,37776548,38729797,38763395,39246080,40165107,40179428,40187872,40760024,40763170,40793819,40899668,41392350,41444798,42080677,42414181,43246681,43538084,43671704,43902302,44151840,44279135,44489535,45211356,45237337,45402757,45855027,46516074,46537603,47052997,47095296,47455504,48427611,48866015,48915804,49130667,49492958,49520084,49670820,49841881,50168617,50633043,50714084,50753787,51061234,51796810,52274462,52285381,52609957,52981747,52982208,53134962,53387442,54389977,54700718,55295384,55518181,55534003,56434148,56803237,58233100,58403077,58639218,59040997,59187902,59287268,59604984,59876078,59895335,60313381,60421175,61106281,61359298,61424084,61593998,62156172,62207307,62280158,63032651,63308318,63788677,64573657,64677182,65216468,66138217,66482290,67055607,67322671,67695577,67850917,68089262,68528084,69069322,69879720,70653668,71250181,71867535,71874402,72505410,72516507,72841982,72944620,73012388,74426084,74538368,74614597,75207758,75505415,75526117,75688210,75838628,75882398,76219502,76283737,76586281,76658704,77339104,77419699,77793577,78614685,79334290,79778748,80044837,80642437,80791657,81018995,81536677,82788495,83599358,83855664,85262771,85266878,85632152,85932878,86162084,86241042,86329175,86410051,86930798,87006492,87070354,87098271,87533544,87656140,88015237,88307728,89178181,89661418,89900708,89916782,90247838,90600788,90606498,90825852,91067348,91900958,92817752,94209278,94337622,94809442,94923781,94974700,95201148,95260628,96059077,96182222,96336171,96510542,96888548,97222794,97395023,98034757,98375407,98475237,98670460,98747108,99157381,99346194,99856681,...,44056577326584200316995726378851997204202754984597490695243125097843941924975267217841137143459320547296491080067891713584455022702360324392639650171934339421884703236124724410431335992460348676140538726916981793287812982512090351730615713187850739422288390528603988400363135091869653131961087669270717687859674775313146540980656829284426001170262451318722810872832508233797210472564558887565297767628296500914603071309710310381912890369699629593785116594119391488831675187975376706734802854326275383083079464069775778503703484870210629411836655951622638939962665020638987790013721633994633109500640153089831269642266681105477836381854590317717890627428698006122306225286510543365895960940410687800572279549296549149895243974771262801632727459728118131405207203510003424584291766677503399338483554071134726003358583438710926373252877428364708681006788614396724968949500302932704487227925509020277507422657887809234801190192249976155017114453097526890860899761586650822042242282456195207109299356778045044311256114588958996456231715641305092473148289774724482781303684279693638377505906417017947184372756651331197643369963301082404616386047769634817112183635109482281108067807002258460821066535415561244135411596386053282043419033556460064355682580664519949821626728181069889136808457798296878558332757959168023401785498173642044036995104213560861590936161685921089381462524761424221686813331830275516681883672718934276625427960825292641720347251823889738089463860138189471939022548981292548386833093325737211589614347455488268693028784026513757978840699246362238823046036912114105431304886205651026849966830484291364562329526946983797557718294364033301716821513823109815592787019651712612397945421639639049328353946123605646797796099711691521385051956936660665972054508545672068516515989147351605595505076512766044320857847345883776838971698437283676281342790118508131563669451215173881083205802057606805294270449015970465140546869831231520504714164466884339788977908997192973401586333785702539594686393939865711022912788678379919350489886692085378350280413053056064167139719609085877479254250918613441775964259483382980872926655845368160593740566315581089599585308831278325744333408626016460677979462453419028654840381594920478153194698942626204095640937892276541608909622483292929993364496760462153724499257061645820988730585148309454688539072204227592630305180980034980916379415025335765076255337239006317854547576877000899774493566663527658586486223135545298881724910102681317920341940287639767191829308849541007699146152765372575151205246896902157085891527782168881056661592518004968836127794162254984446164112639858979247473979846258662312721793926263910993659601681631759189327432815801685002595543946150193708973462411131842383052038972343501100147861857840332772510344095024699894918243435570700004703536323551502080847135013697253066757625954579466563770577606098359867377996086361529861613507342325651557168209019815976754612790906039685390747742910995847558463700382939685163595878130986589522352494032594259828747915505418874081630643742923561653473966450130461164298637007797513704724071500624143895134914166533980983900049276430881484125269053555675829376160372142397310176853207764735537586454790546680982804792215718631376271470407640587266916521005550451624046105305437710691149682416704040512578965897337405169042673700456099939608171401840749845993415086808419369559127803570388975329360248432017889054841275108412468568131169152754320255896715285119811842147011688697735115745305596235473932491086747337564627634969413508957889452877401111225746996865746752731496894633287805448528175853731264930691526273935294689733335293032783786295799960141077665329866137861966937199979366584515075426183898581423045026989840764924250182967404705890311367009977965716641295194539958683225463330044567596210290546722997447900239799629683836498899556013865780953822670953383859826417167628516331663396742007767917954655303559894189353408778646833110567273473992187794872958374733769415262495172737827760018274180605634749107451506455910151057327045351956825629119830086703361140442989419047230436583476510578979481520526992325889980929322355504502919490986863517586843939005816595253359801576320048648005248664346007118143182177461248267254221974488415434901257477135564788071070011123798276172215339322065447473560244704883538221299081987491685548932517573058316294249673961643865690182076802879214954282687425334800647384383619324585865572713726715553066673838040487212558615303390747821852031309598828322594141366064276327556299663337213146901837320832596852435163033320713293003497138952994765486690931383403796597089966999585861560034899304640828116287582462929978287606252775352463992334333486474060274980704633745763973168367404023309932805753035190730742872314967568458829555630214083875779545297477526137731060284672472650608604351307655384410009008161603028417316}
30683 2273409089085142586468327633469971656643912570466575778607717776938709238191820633173723: {245416,276093,1073485,1288182,1533550,1747677,1840260,1962944,2208312,2484351,2606185,2850357,3127422,3401373,3709981,3952173,4444105,5332926,5580302,6280585,7198285,7536702,7754197,7971860,8637942,8857561,9443588,9448293,9566232,9775117,10762011,11640693,11981413,13299062,13490840,13814581,13829637,14922813,15104041,15140606,15177195,15441385,15869966,16189008,16206973,17774533,18212634,18439862,18529662,18998660,19286877,19737956,20430877,21224605,22124246,22535835,22671380,22744105,22798392,24038224,24693422,24882116,25264893,25392190,25469526,25622564,25648191,26342660,26585317,26828375,27043002,27093716,27205656,27292926,27599785,28197080,28514613,29286901,29467022,30470628,30606363,31611192,31721715,32142685,32194050,33119742,33374613,33836496,33913533,34340320,34864105,35164388,35545880,35562591,35665021,36083318,36649028,37142517,37965913,37984837,38066058,38185885,38212741,38217117,38326250,38571222,38632860,39590756,39827397,39989115,41208384,41269957,41435733,41523566,41788868,41836926,41838430,42655056,44888233,45180957,45823062,45850904,45991500,46200596,46263001,46359432,47143813,47220685,47986938,48383461,48915597,49057600,49448253,49867268,50206116,50224285,50234840,50950030,51124585,51576717,51582267,52007917,52108293,52154361,53553476,54119017,54422605,54589630,54702637,55189800,55586821,55954597,56514195,56622121,56664822,58371493,58692313,58869120,59319380,59992873,60040717,60269142,60281808,60707581,61140036,61144755,61349502,61828453,61900105,62021432,62088525,62122381,62167197,62793728,63392605,64570148,65221072,65307126,65507556,65853453,65933701,66227760,67076366,67510724,67671716,67817034,68587753,69119230,69774111,70542685,70642944,70846616,70952557,70988557,71102041,71183256,72389533,72791375,73373706,73851502,74109085,74239437,74280126,74506230,74691397,74928133,75190933,75964702,76071126,76591851,76780105,77269262,77299561,77695215,78185624,78411693,79473312,79702443,80081163,80672581,81215533,81428521,81520585,82051077,82874896,82943076,84651222,84790021,85660105,85890793,85956841,86604206,87349650,87958827,88013398,88317085,88781853,88930902,89407476,89489737,89679913,89814117,89962477,91180775,91265485,91983877,92038947,92136126,92390997,93032605,93172960,93234258,93420237,93938581,94549117,94600957,94798285,94962477,95823380,95832536,96673880,96688676,96766981,97015773,97824702,99723435,...,66084865989876300475493589568277995806304132476896236042864687646765912887462900826761705715188980820944736620101837570376682534053540486588959475257901509132827054854187086615647003988690523014210808090375472689931719473768135527595923569781776109133432585792905982600544702637804479697941631503906076531789512162969719811470985243926639001755393676978084216309248762350695815708846838331347946651442444751371904606964565465572869335554549444390677674891179087233247512781963065060102204281489413074624619196104663667755555227305315944117754983927433958409943997530958481685020582450991949664250960229634746904463400021658216754572781885476576835941143047009183459337929765815048843941410616031700858419323944823724842865962156894202449091189592177197107810805265005136876437650016255099007725331106702089005037875158066389559879316142547063021510182921595087453424250454399056730841888263530416261133986831713852201785288374964232525671679646290336291349642379976233063363423684292810663949035167067566466884171883438494684347573461957638709722434662086724171955526419540457566258859625526920776559134976996796465054944951623606924579071654452225668275452664223421662101710503387691231599803123341866203117394579079923065128550334690096533523870996779924732440092271604833705212686697445317837499136938752035102678247260463066055492656320341292386404242528881634072193787142136332530219997745413275022825509078401414938141941237938962580520877735834607134195790207284207908533823471938822580249639988605817384421521183232403039543176039770636968261048869543358234569055368171158146957329308476540274950245726437046843494290420475696336577441546049952575232270734664723389180529477568918596918132459458573992530919185408470196694149567537282077577935404990998958081762818508102774773983721027408393257614769149066481286771018825665258457547655925514422014185177762197345504176822760821624808703086410207941405673523955697710820304746847280757071246700326509683466863495789460102379500678553809392029590909798566534369183017569879025734830038128067525420619579584096250709579413628816218881376377920162663946389225074471309389983768052240890610849473371634399377963246917488616500112939024691016969193680128542982260572392380717229792048413939306143461406838414812413364433724939394990046745140693230586748885592468731483095877722464182032808608306341388945457771470052471374569122538003647614383005858509476781821365315501349661740349995291487879729334703317948322587365154021976880512910431459650787743963274311511548719229148058862726807870345353235628837291673253321584992388777007453254191691243382476669246168959788468871210969769387993469082690889395866490489402522447638783991149223702527503893315919225290563460193616697763574578058458515251650221792786760499158765516142537049842377365153356050007055304485327253121270702520545879600136438931869199845655866409147539801066994129542294792420261013488477335752313529723965131919186359059528086121614366493771337695550574409527745393817196479884283528741048891389743121873258128311122445965614385342480210949675195691746447955511696270557086107250936215842702371249800971475850073914646322226187903580333513744064240558213595965265279811647103306379682185820021474207188323577947064407205611460880900374781508325677436069157958156566036724523625056060768868448846006107753564010550684149909412257102761124768990122630212629054338691705355583462994040372648026833582261912662618702852196753729131480383845072927679717763220517533046602673617958394353210898736630121006346941452454120263436834179316101666838620495298620129097245341949931708172792263780596897396037289410902942034600002939549175679443699940211616497994799206792950405799969049876772613139275847872134567540484761147386375274451107058835467050514966948574961942791809938024838194995066851394315435820084496171850359699444525754748349334020798671430734006430075789739625751442774497495095113011651876931982955339841284030113167970249665850910210988281692309437562100654122893742759106741640027411270908452123661177259683865226585990568027935238443679745130055041710664484128570845654875214765868469222280790488488834971393983533256754379236480295276380265908508724892880039702364480072972007872996519010677214773266191872400881332961732623152351886215703347182106605016685697414258323008983098171210340367057325307331948622981237528323398776359587474441374510942465798535273115204318822431424031138002200971076575428986878798359070590073329600010757060730818837922955086121732778046964398242483891212049096414491334449495005819720352755981248895278652744549981069939505245708429492148230036397075105694895634950499378792340052348956961242174431373694394967431409379163028695988501500229711090412471056950618645959752551106034964899208629552786096114308472451352688244333445321125813669317946216289206596590427008708975912906526961483076615013512242404542625974}
30684 2280393028055400503660078279464258151956608027696549225334964134599905122363449847787542: {214739,306770,368124,398723,674762,705203,1256363,1439939,1623443,1717576,1932273,2300325,2330236,2453680,2760390,2944416,3271739,3312468,3800476,3880739,4002443,4169896,4535164,4691133,5096339,5269564,5445554,5824163,5884763,7110568,7819739,7999389,8370453,8543243,8904563,9626339,9964825,10048936,10226939,10556114,11305053,11517256,11647562,11804485,11957790,12597724,12754976,12956913,13039043,13396763,13932803,14165382,14189234,14349348,14705939,15181043,15276362,15520924,15774203,16484939,16863550,17194523,17666939,17807954,17843963,18433523,18439516,19897084,19948593,20197403,20236260,21018083,21033446,21585344,21771914,22654739,22710909,23567954,23748325,23804949,24227003,24283512,24517523,24672445,24706216,25715836,26256443,27318951,27659793,27794493,28339225,28497990,28736339,28934474,29606934,30047780,30056723,30285923,30397856,31102645,31144283,31427762,32028205,32456939,32627843,32928325,33026339,33186369,33686524,33867145,33913994,33959368,34007070,34049243,34197588,34268594,35246350,35409083,35685554,36057336,36256643,36274208,36390568,37040133,37323174,37721483,38019484,38088285,38114939,38204289,38227283,38433846,38788523,39217874,39513990,40119541,40244003,40467443,40564503,40627504,40640574,40808484,40939389,41916683,42148256,42295620,42472643,42925400,43305083,43582163,43955485,44080403,44159656,44200533,44432350,44499484,44633243,45115328,45218044,45240443,45539762,45705942,45811285,46066883,46726739,47111123,47416788,48097739,48210877,48261923,48291075,48334514,48371339,49488445,49523356,49679613,49899803,50754744,50956156,51428296,51467594,51510480,51530483,52236085,52746582,53103196,53261939,53318820,53801339,53909123,54070739,54124977,54268753,54944512,54973542,55038923,55247644,55281074,55522043,55575683,55782568,55972562,56646803,56873408,57020939,57068438,57099087,57287939,57313630,57489375,57750745,57856833,57949290,58087739,58779443,59045123,59386134,59522843,59681939,60109394,60241276,60317603,60370523,60453194,61004939,61097416,61163363,61322000,61812576,61990789,62170034,62285349,62334085,62683302,62755389,62757645,62793550,62848739,63216323,63635939,63982584,64002683,64578203,64787243,65204939,65220796,65592914,65931004,66142883,66941488,66941845,67285739,67980362,68412421,68734593,68768956,68776356,68987250,69300894,69477724,69539148,69681362,69765803,70448257,70537043,70998923,71980407,72395474,72515534,73586400,73858283,74087114,74149225,74467739,74493133,74800902,75126683,75227939,75309174,75352260,75437834,75553096,76339643,76425045,76591763,77246339,77459594,77526790,77849363,78100283,78492160,78901883,79001939,79501739,79601603,80330214,80358856,80375744,80712685,80996339,81520048,81526340,81587638,81799336,81884445,82784700,82889596,83323403,83853469,83963939,84161354,84388405,84589645,84701339,84828362,84997233,86493362,87076168,87343408,87804604,88021643,88303680,88558270,88979070,89233043,89329739,90403713,90422712,90474674,90805514,90920603,91496939,91710054,92024253,92932739,93032148,93075206,93075923,94105994,94190592,94911008,96113363,96490739,96855222,97055843,97337963,97666739,97732030,97831608,97901339,97960689,98042003,98261334,98985916,99040168,99211403,99341640,99631163,99683762,99770939,...,99127298984814450713240384352416993709456198715344354064297031470148869331194351240142558572783471231417104930152756355565023801080310729883439212886852263699240582281280629923470505983035784521316212135563209034897579210652203291393885354672664163700148878689358973900817053956706719546912447255859114797684268244454579717206477865889958502633090515467126324463873143526043723563270257497021919977163667127057856910446848198359304003331824166586016512336768630849871269172944597590153306422234119611936928794156995501633332840957973916176632475891150937614915996296437722527530873676487924496376440344452120356695100032487325131859172828214865253911714570513775189006894648722573265912115924047551287628985917235587264298943235341303673636784388265795661716207897507705314656475024382648511587996660053133507556812737099584339818974213820594532265274382392631180136375681598585096262832395295624391700980247570778302677932562446348788507519469435504437024463569964349595045135526439215995923552750601349700326257825157742026521360192936458064583651993130086257933289629310686349388289438290381164838702465495194697582417427435410386868607481678338502413178996335132493152565755081536847399704685012799304676091868619884597692825502035144800285806495169887098660138407407250557819030046167976756248705408128052654017370890694599083238984480511938579606363793322451108290680713204498795329996618119912534238263617602122407212911856908443870781316603751910701293685310926311862800735207908233870374459982908726076632281774848604559314764059655955452391573304315037351853583052256737220435993962714810412425368589655570265241435630713544504866162319074928862848406101997085083770794216353377895377198689187860988796378778112705295041224351305923116366903107486498437122644227762154162160975581541112589886422153723599721930156528238497887686321483888271633021277766643296018256265234141232437213054629615311912108510285933546566230457120270921135606870050489764525200295243684190153569251017830714088044386364697849801553774526354818538602245057192101288130929369376144376064369120443224328322064566880243995919583837611706964084975652078361335916274210057451599066944870376232924750169408537036525453790520192814473390858588571075844688072620908959215192110257622218620046650587409092485070117711039845880123328388703097224643816583696273049212912459512083418186657205078707061853683807005471421574508787764215172732047973252024492610524992937231819594002054976922483881047731032965320769365647189476181615944911467267323078843722088294090211805518029853443255937509879982377488583165511179881287536865073715003869253439682703306816454654081990203624036334093799735734103783671458175986723835553791255839973878837935845190290425046645361867087687772877475332689180140748738148274213805574763566047730034075010582956727990879681906053780818819400204658397803799768483799613721309701600491194313442188630391520232716003628470294585947697878779538589292129182421549740657006543325861614291618090725794719826425293111573337084614682809887192466683668948421578013720316424512793537619671933267544405835629160876404323764053556874701457213775110871969483339281855370500270616096360837320393947897919717470654959569523278730032211310782485366920596610808417191321350562172262488516154103736937234849055086785437584091153302673269009161630346015826026224864118385654141687153485183945318943581508037558033375194491060558972040250373392868993928054278295130593697220575767609391519576644830776299569904010426937591529816348104945181509520412178681180395155251268974152500257930742947930193645868012924897562259188395670895346094055934116354413051900004409323763519165549910317424746992198810189425608699953574815158919708913771808201851310727141721079562911676660588253200575772450422862442914187714907037257292492600277091473153730126744257775539549166788632122524001031198007146101009645113684609438627164161746242642669517477815397974433009761926045169751955374498776365316482422538464156343150981184340614138660112460041116906362678185491765889525797839878985852041902857665519617695082562565996726192856268482312822148802703833421185732733252457090975299885131568854720442914570398862763087339320059553546720109458011809494778516015822159899287808601321999442598934728527829323555020773159907525028546121387484513474647256815510550585987960997922934471856292485098164539381211662061766413698697802909672806478233647136046707003301456614863143480318197538605885109994400016135591096228256884432629182599167070446597363725836818073644621737001674242508729580529133971873342917979116824971604909257868562644238222345054595612658542343452425749068188510078523435441863261647060541592451147114068744543043982752250344566635618706585425927968939628826659052447348812944329179144171462708677029032366500167981688720503976919324433809894885640513063463869359790442224614922520268363606813938961}
30685 2287398298026276459198367851362405041766514025284536869187397364924789017292414168967559: {460155,490832,552186,1012143,1502879,2146970,2576364,2912795,3067100,3495354,3648659,3680520,3925888,4140585,4384523,4416624,4750595,4968702,5212370,5668955,5700714,6221747,6254844,6586955,6802746,7419962,7904346,8168331,8792819,8888210,9164051,9899627,10077599,10449263,10665852,11160604,11552411,12469259,12561170,13390991,14396570,14488463,15073404,15508394,15747155,15834171,15943720,16145699,16326323,16880987,17275884,17471343,17715122,17936685,18887176,18896586,19132464,19266899,19401155,19550234,21248073,21283851,21524022,21617939,21839903,22914543,23049395,23281386,23962826,24871355,25295325,26598124,26711931,26981680,27629162,27659274,29714447,29845626,30208082,30281212,30354390,30882770,31419011,31550169,31739932,31841747,32144795,32378016,32413946,32625659,32657871,35351931,35549066,36425268,36879724,37059324,37559725,37997320,38573754,38639699,39475912,40861754,42108155,42432491,42449210,42746985,43401711,44248492,44410401,44891171,44999759,45071670,45342760,45488210,45596784,47141643,47524355,48076448,48809747,49386844,49764232,50529786,50784380,50870991,50939052,51010605,51245128,51296382,51402891,51705707,52685320,52702859,52869525,53170634,53460239,53528331,53656750,54086004,54187432,54411312,54585852,55199570,55624355,55984761,56394160,56522555,56625827,57029226,57650769,57851363,58573802,58826811,58934044,59270985,60711563,60941256,60960861,61212726,61904195,62126447,63222384,63283547,63443430,63695195,64285370,64388100,64648571,65597291,66108959,66239484,66378995,66648525,66749226,67672992,67827066,68309643,68558913,68680640,69059555,69728210,70051907,70313999,70328776,70957211,71091760,71125182,71330042,71574419,71745323,72140027,72166636,72394271,72501771,73298056,73690607,74285034,75301595,75931826,75969674,76132116,76191647,76371770,76425482,76434234,76596371,76652500,77142444,77201391,77265720,78337139,79119873,79181512,79466987,79654794,79978230,80325779,81525995,82413755,82416768,82460313,82539914,82871466,82921611,83047132,83577736,83673852,83676860,83958843,83995019,85310112,85602657,85961195,85962467,85970445,86393627,86660147,86847155,86923935,87664259,88271651,88749647,89079201,89776466,90164091,90361914,90631343,90679791,91008347,91261811,91646124,91701808,91884899,91983000,92401192,92526002,92718864,93255051,94024953,94190325,94287626,94441370,94607183,95340323,95661443,95973876,96766922,97831194,98115200,98389371,98759759,98896506,99734536,...,132169731979752600950987179136555991612608264953792472085729375293531825774925801653523411430377961641889473240203675140753365068107080973177918950515803018265654109708374173231294007977381046028421616180750945379863438947536271055191847139563552218266865171585811965201089405275608959395883263007812153063579024325939439622941970487853278003510787353956168432618497524701391631417693676662695893302884889502743809213929130931145738671109098888781355349782358174466495025563926130120204408562978826149249238392209327335511110454610631888235509967854867916819887995061916963370041164901983899328501920459269493808926800043316433509145563770953153671882286094018366918675859531630097687882821232063401716838647889647449685731924313788404898182379184354394215621610530010273752875300032510198015450662213404178010075750316132779119758632285094126043020365843190174906848500908798113461683776527060832522267973663427704403570576749928465051343359292580672582699284759952466126726847368585621327898070334135132933768343766876989368695146923915277419444869324173448343911052839080915132517719251053841553118269953993592930109889903247213849158143308904451336550905328446843324203421006775382463199606246683732406234789158159846130257100669380193067047741993559849464880184543209667410425373394890635674998273877504070205356494520926132110985312640682584772808485057763268144387574284272665060439995490826550045651018156802829876283882475877925161041755471669214268391580414568415817067646943877645160499279977211634768843042366464806079086352079541273936522097739086716469138110736342316293914658616953080549900491452874093686988580840951392673154883092099905150464541469329446778361058955137837193836264918917147985061838370816940393388299135074564155155870809981997916163525637016205549547967442054816786515229538298132962573542037651330516915095311851028844028370355524394691008353645521643249617406172820415882811347047911395421640609493694561514142493400653019366933726991578920204759001357107618784059181819597133068738366035139758051469660076256135050841239159168192501419158827257632437762752755840325327892778450148942618779967536104481781221698946743268798755926493834977233000225878049382033938387360257085964521144784761434459584096827878612286922813676829624826728867449878789980093490281386461173497771184937462966191755444928364065617216612682777890915542940104942749138245076007295228766011717018953563642730631002699323480699990582975759458669406635896645174730308043953761025820862919301575487926548623023097438458296117725453615740690706471257674583346506643169984777554014906508383382486764953338492337919576937742421939538775986938165381778791732980978805044895277567982298447405055007786631838450581126920387233395527149156116917030503300443585573520998317531032285074099684754730306712100014110608970654506242541405041091759200272877863738399691311732818295079602133988259084589584840522026976954671504627059447930263838372718119056172243228732987542675391101148819055490787634392959768567057482097782779486243746516256622244891931228770684960421899350391383492895911023392541114172214501872431685404742499601942951700147829292644452375807160667027488128481116427191930530559623294206612759364371640042948414376647155894128814411222921761800749563016651354872138315916313132073449047250112121537736897692012215507128021101368299818824514205522249537980245260425258108677383410711166925988080745296053667164523825325237405704393507458262960767690145855359435526441035066093205347235916788706421797473260242012693882904908240526873668358632203333677240990597240258194490683899863416345584527561193794792074578821805884069200005879098351358887399880423232995989598413585900811599938099753545226278551695744269135080969522294772750548902214117670934101029933897149923885583619876049676389990133702788630871640168992343700719398889051509496698668041597342861468012860151579479251502885548994990190226023303753863965910679682568060226335940499331701820421976563384618875124201308245787485518213483280054822541816904247322354519367730453171981136055870476887359490260110083421328968257141691309750429531736938444561580976977669942787967066513508758472960590552760531817017449785760079404728960145944015745993038021354429546532383744801762665923465246304703772431406694364213210033371394828516646017966196342420680734114650614663897245962475056646797552719174948882749021884931597070546230408637644862848062276004401942153150857973757596718141180146659200021514121461637675845910172243465556093928796484967782424098192828982668898990011639440705511962497790557305489099962139879010491416858984296460072794150211389791269900998757584680104697913922484348862747388789934862818758326057391977003000459422180824942113901237291919505102212069929798417259105572192228616944902705376488666890642251627338635892432578413193180854017417951825813053922966153230027024484809085251948}
30686 2294424963772851229637511633972177645364749014312521835709435371516015750429487863626163: {429478,613540,736248,797446,828279,1134013,1317649,1349524,1410406,2512726,2879878,3220455,3246886,3332893,3435152,3833875,3864546,3880993,4600650,4660472,4793053,4907360,5243031,5520780,5885149,5888832,6543478,6624936,7453053,7600952,7761478,7818555,8004886,8339792,8551071,8604049,9070328,9382266,10192678,10204119,10539128,10891108,11127073,11129943,11306749,11486353,11648326,11769526,11856519,13099549,13332315,13950755,13993249,14221136,15063313,15639478,15998778,16486033,16526279,16740906,17086486,17372893,17809126,18841755,19252678,19929650,20097872,20198749,20453878,21112228,21594855,21780193,22130833,22610106,23006173,23034512,23262591,23295124,23608970,23915580,24577249,25195448,25447549,25509952,25913826,26078086,26316049,26572683,26793526,27865606,28330764,28344879,28378468,28698696,29325351,29411878,30362086,30552724,31041848,31548406,32174113,32286033,32969878,33028573,33247655,33727100,34389046,34541423,34922079,35333878,35615908,35687926,35750749,35944239,36766813,36867046,36879032,37851515,38117533,38286049,39674915,39794168,39897186,40394806,40472520,40972513,41443743,41488911,42036166,42066892,43170688,43543703,43543828,44768439,44839487,45133213,45309478,45312123,45421818,45531585,46099655,46324155,46784893,47135908,47278993,47414003,47496650,47609898,48265249,48429373,48454006,48567024,48620919,49035046,49344890,49412432,50719549,50882593,51371293,51431672,52512886,53323599,53966749,54128353,54637902,55310615,55319586,55579549,55588986,56678450,56976491,56995980,57345313,57472678,57825373,57860631,57868948,58145053,59213868,59580049,59739133,60095560,60113446,60374749,60571846,60795712,61009213,61292631,61537679,61733555,62205290,62288566,62855524,63480475,63673815,63692833,64056410,64135799,64913878,65105149,65255686,65856650,66052678,66372738,67290493,67373048,67601533,67607505,67734290,67827988,67918736,68014140,68098486,68232315,68395176,68537188,69283823,69616273,70492700,70542049,70818166,71371108,72114672,72513286,72548416,72781136,73130519,73456573,73667555,74080266,74523793,74646348,75283933,75442966,75794679,76038968,76042273,76176570,76229878,76408578,76454566,76867692,76944573,77251873,77577046,78156049,78435748,79027980,79755951,80239082,80255713,80485125,80488006,80851043,80934886,81129006,81255008,81281148,81616968,81878778,81895549,82799355,83257031,83833366,84296512,84591240,84945286,85543839,85850800,86610166,87164326,87267719,87860703,87910970,88037339,88160806,88319312,88401066,88658653,88864700,88998968,89266486,89384593,90208295,90230656,90436088,90480886,90831073,91079524,91411884,91622570,91819089,92133766,93453478,93559549,93718583,94222246,94833576,95165145,95815625,96195478,96421754,96428055,96523846,96544993,96582150,96669028,96742678,97110049,97814749,98517649,98976890,99046712,99359226,99799606,...,198254597969628901426480768704833987418912397430688708128594062940297738662388702480285117145566942462834209860305512711130047602160621459766878425773704527398481164562561259846941011966071569042632424271126418069795158421304406582787770709345328327400297757378717947801634107913413439093824894511718229595368536488909159434412955731779917005266181030934252648927746287052087447126540514994043839954327334254115713820893696396718608006663648333172033024673537261699742538345889195180306612844468239223873857588313991003266665681915947832353264951782301875229831992592875445055061747352975848992752880688904240713390200064974650263718345656429730507823429141027550378013789297445146531824231848095102575257971834471174528597886470682607347273568776531591323432415795015410629312950048765297023175993320106267015113625474199168679637948427641189064530548764785262360272751363197170192525664790591248783401960495141556605355865124892697577015038938871008874048927139928699190090271052878431991847105501202699400652515650315484053042720385872916129167303986260172515866579258621372698776578876580762329677404930990389395164834854870820773737214963356677004826357992670264986305131510163073694799409370025598609352183737239769195385651004070289600571612990339774197320276814814501115638060092335953512497410816256105308034741781389198166477968961023877159212727586644902216581361426408997590659993236239825068476527235204244814425823713816887741562633207503821402587370621852623725601470415816467740748919965817452153264563549697209118629528119311910904783146608630074703707166104513474440871987925429620824850737179311140530482871261427089009732324638149857725696812203994170167541588432706755790754397378375721977592757556225410590082448702611846232733806214972996874245288455524308324321951163082225179772844307447199443860313056476995775372642967776543266042555533286592036512530468282464874426109259230623824217020571867093132460914240541842271213740100979529050400590487368380307138502035661428176088772729395699603107549052709637077204490114384202576261858738752288752128738240886448656644129133760487991839167675223413928169951304156722671832548420114903198133889740752465849500338817074073050907581040385628946781717177142151689376145241817918430384220515244437240093301174818184970140235422079691760246656777406194449287633167392546098425824919024166836373314410157414123707367614010942843149017575528430345464095946504048985221049985874463639188004109953844967762095462065930641538731294378952363231889822934534646157687444176588180423611036059706886511875019759964754977166331022359762575073730147430007738506879365406613632909308163980407248072668187599471468207567342916351973447671107582511679947757675871690380580850093290723734175375545754950665378360281497476296548427611149527132095460068150021165913455981759363812107561637638800409316795607599536967599227442619403200982388626884377260783040465432007256940589171895395757559077178584258364843099481314013086651723228583236181451589439652850586223146674169229365619774384933367337896843156027440632849025587075239343866535088811671258321752808647528107113749402914427550221743938966678563710741000541232192721674640787895795839434941309919139046557460064422621564970733841193221616834382642701124344524977032308207473874469698110173570875168182306605346538018323260692031652052449728236771308283374306970367890637887163016075116066750388982121117944080500746785737987856108556590261187394441151535218783039153289661552599139808020853875183059632696209890363019040824357362360790310502537948305000515861485895860387291736025849795124518376791341790692188111868232708826103800008818647527038331099820634849493984397620378851217399907149630317839417827543616403702621454283442159125823353321176506401151544900845724885828375429814074514584985200554182946307460253488515551079098333577264245048002062396014292202019290227369218877254328323492485285339034955630795948866019523852090339503910748997552730632964845076928312686301962368681228277320224920082233812725356370983531779051595679757971704083805715331039235390165125131993452385712536964625644297605407666842371465466504914181950599770263137709440885829140797725526174678640119107093440218916023618989557032031644319798575617202643998885197869457055658647110041546319815050057092242774969026949294513631021101171975921995845868943712584970196329078762423324123532827397395605819345612956467294272093414006602913229726286960636395077211770219988800032271182192456513768865258365198334140893194727451673636147289243474003348485017459161058267943746685835958233649943209818515737125288476444690109191225317084686904851498136377020157046870883726523294121083184902294228137489086087965504500689133271237413170851855937879257653318104894697625888658358288342925417354058064733000335963377441007953838648867619789771281026126927738719580884449229845040536727213627877922}
30687 2301473090265769497672023916831599215639522063168745306448365844905803911884003301897820: {644217,766925,920310,981664,1104372,1196169,1686905,2024286,2115609,3005758,3769089,4077913,4293940,4319817,4870329,5152728,5181709,5796819,5825590,6134200,6650833,6900975,6990708,7297318,7361040,7851776,7936537,8281170,8769046,8833248,9221737,9501190,9815217,9937404,10424740,11064289,11337910,11401428,11642217,12007329,12349129,12443494,12509688,13173910,13605492,13613885,14073399,14736397,14839924,15289017,15808692,16336662,17122729,17472489,17585638,17654289,17776420,18045193,18328102,19799254,20155198,20898526,21331704,21533593,22046017,22321208,23104822,23459217,23998167,24938518,25111359,25122340,25629729,26390285,26713689,26781982,27161617,27931409,28793140,28879017,28976926,29118905,29894475,30146808,30680817,31016788,31494310,31668342,31887440,32269153,32291398,32652646,33761974,33915159,34551768,34819897,34942686,35413455,35430244,35473085,35873370,37774352,37793172,38190905,38264928,38533798,38557597,38802310,38870739,39100468,39117129,40190289,41798409,42158875,42496146,42567702,43048044,43235878,43679806,44117817,44519885,45002713,45543129,45829086,46022273,46098790,46562772,47322609,47925652,49454817,49742710,49958369,50590650,51583569,52583615,53000817,53196248,53423862,53531889,53963360,54429785,55258324,55300569,55318548,56045033,58699997,58919885,58951417,59428894,59691252,59845779,60048593,60416164,60562424,60592209,60708780,61765540,62285197,62838022,63054249,63100338,63287689,63479864,63683494,64289590,64756032,64827892,65251318,65315742,66478589,66534097,67579937,67964217,68010353,68132727,70703862,71098132,71244975,71414847,71750029,72336185,72681009,72850536,73552569,73759448,74017335,74118648,74883073,75119450,75200777,75994640,76031153,77147508,77279398,77874097,78569405,78769329,78951824,79131577,80627089,81723508,81956853,82588477,82979379,83383479,84216310,84784985,84864982,84898420,85017675,85493970,85671485,86209017,86665873,86803422,87553273,88092337,88115875,88496984,88820802,89173273,89213885,89501453,89691677,89782342,89999518,90143340,90170169,90685520,90857769,90976420,91193568,91890913,92784113,92930593,93307935,93432849,94283286,95048710,96084615,96152896,96683377,97370817,97555729,97619494,97883529,98044685,98773688,98784975,99079017,99528464,99559107,...,297381896954443352139721153057250981128368596146033062192891094410446607993583053720427675718350413694251314790458269066695071403240932189650317638660556791097721746843841889770411517949107353563948636406689627104692737631956609874181656064017992491100446636068076921702451161870120158640737341767577344393052804733363739151619433597669875507899271546401378973391619430578131170689810772491065759931491001381173570731340544595077912009995472499758049537010305892549613807518833792770459919266702358835810786382470986504899998522873921748529897427673452812844747988889313167582592621029463773489129321033356361070085300097461975395577518484644595761735143711541325567020683946167719797736347772142653862886957751706761792896829706023911020910353164797386985148623692523115943969425073147945534763989980159400522670438211298753019456922641461783596795823147177893540409127044795755288788497185886873175102940742712334908033797687339046365522558408306513311073390709893048785135406579317647987770658251804049100978773475473226079564080578809374193750955979390258773799868887932059048164868314871143494516107396485584092747252282306231160605822445035015507239536989005397479457697265244610542199114055038397914028275605859653793078476506105434400857419485509661295980415222221751673457090138503930268746116224384157962052112672083797249716953441535815738819091379967353324872042139613496385989989854359737602714790852806367221638735570725331612343949811255732103881055932778935588402205623724701611123379948726178229896845324545813677944292178967866357174719912945112055560749156770211661307981888144431237276105768966710795724306892140633514598486957224786588545218305991255251312382649060133686131596067563582966389136334338115885123673053917769349100709322459495311367932683286462486482926744623337769659266461170799165790469584715493663058964451664814899063833299929888054768795702423697311639163888845935736325530857800639698691371360812763406820610151469293575600885731052570460707753053492142264133159094093549404661323579064455615806735171576303864392788108128433128193107361329672984966193700640731987758751512835120892254926956235084007748822630172354797200834611128698774250508225611109576361371560578443420172575765713227534064217862726877645576330772866655860139951762227277455210353133119537640369985166109291673931449751088819147638737378536250254559971615236121185561051421016414264723526363292645518196143919756073477831574978811695458782006164930767451643143193098895962308096941568428544847834734401801969236531166264882270635416554089560329767812529639947132465749496533539643862610595221145011607760319048109920449363962245970610872109002281399207202311351014374527960171506661373767519921636513807535570871275139936085601263063318632425998067540422246214444822641416724290698143190102225031748870183972639045718161342456458200613975193411399305451398841163929104801473582940326565891174560698148010885410883757843093636338615767876387547264649221971019629977584842874854272177384159479275879334720011253844048429661577400051006845264734041160949273538380612859015799802633217506887482629212971292160670624104371641325332615908450017845566111500811848289082511961181843693759152411964878708569836190096633932347456100761789832425251573964051686516787465548462311210811704547165260356312752273459908019807027484891038047478078674592355156962425061460455551835956830744524112674100125583473181676916120751120178606981784162834885391781091661727302828174558729934492328898709712031280812774589449044314835544528561236536043541185465753806922457500773792228843790580937604038774692686777565187012686038282167802349063239155700013227971290557496649730952274240976596430568276826099860724445476759126741315424605553932181425163238688735029981764759601727317351268587328742563144721111771877477800831274419461190380232773326618647500365896367572003093594021438303028935341053828315881492485238727928008552433446193923299029285778135509255866123496329095949447267615392469029452943553021842415980337380123350719088034556475297668577393519636957556125708572996558853085247687697990178578568805446938466446408111500263557198199757371272925899655394706564161328743711196588289262017960178660640160328374035428484335548047466479697863425803965998327796804185583487970665062319479722575085638364162453540423941770446531651757963882993768803415568877455294493618143634986185299241096093408729018419434700941408140121009904369844589430440954592615817655329983200048406773288684770653297887547797501211339792091177510454220933865211005022727526188741587401915620028753937350474914814727773605687932714667035163786837975627030357277247204565530235570306325589784941181624777353441342206233629131948256751033699906856119756277783906818886479977157342046438832987537432514388126031087097099500503945066161511930757973301429684656921539190391608079371326673844767560805090820441816883}
30688 2308542742671826870356071861996263299082913308186441688296735135747811930603134415045276: {337447,521407,858956,1227080,1380465,1472496,1594892,1656558,2268026,2635298,2699048,2820812,3036429,4002967,4508637,4550311,5025452,5367425,5461111,5759756,5824927,6006727,6440910,6493772,6665786,6870304,7277311,7667750,7729092,7761986,7820767,8738385,9201300,9320944,9586106,9814720,10486062,10528327,10945977,11041560,11770298,11777664,12421755,12682711,13030925,13086956,13153569,13249872,14251785,14826727,14906106,15201904,15522956,15637110,16009772,16679584,17006865,17102142,17137711,17208098,18023311,18140656,18549905,18553807,18665241,18764532,19260127,19531057,19760865,19789111,20317447,20385356,20408238,21078256,21782216,22220525,22254146,22259886,22613498,22774447,22972706,23296652,23539052,23713038,24172111,24504993,24520807,26199098,26378457,26664630,27492153,27646111,27901510,27986498,28164727,28442272,28855207,29698881,30126626,30232711,30232797,31278956,31347789,31402925,31997556,32972066,33052558,33481812,33997087,34172972,34657233,34745786,35017687,35618252,35991425,37051111,37407777,37557847,37683510,37895311,38232487,38505356,38770985,39859300,39914047,40172973,40195744,40397498,40907756,42224456,43189710,43255567,43421887,43465389,43560386,44261666,44287805,45220212,45412111,46012346,46069024,46525182,46546717,46590248,47217940,47241465,47502513,47831160,48378007,48437097,48875585,48978969,49154498,49525111,50390896,50642961,50895098,51019904,51646087,51827652,52156172,52414029,52632098,52992121,53145366,53587052,53810055,53916607,55544881,55731212,56661528,56689758,56756936,57397392,57800697,58095847,58203465,58415311,58650702,58823756,59212711,59531167,59907065,60724172,60802111,61105448,61119127,62083696,63044993,63096812,63744219,63851553,64348226,64539517,64572066,64853817,65519709,65939756,66057146,66308311,66495310,67335853,67398967,67454200,67865311,68175847,68743629,68778092,69072905,69082846,69148185,69415111,69844158,69878647,70667756,71231816,71375852,71501498,71888478,72493111,72799327,73533626,73734092,73758064,74478367,74614065,75238687,75520205,75703030,75885975,76235066,76572098,76602727,77206925,77434861,79013287,79349830,79588336,79613047,79794372,80062111,80135793,80510527,80789612,80809111,80945040,81034865,81554311,81945026,82887486,82977822,83039311,84072332,84074527,84133784,85279469,86341376,86426977,86427487,87087406,87087656,88180111,88872665,89143341,89197687,89342767,89536878,89678974,90266426,90618956,90624246,90843636,91063170,91798111,92199310,92516311,92648310,92946367,93569786,93947311,94257033,94271816,94557986,94650507,94828006,94944727,94993300,95219796,95525241,96434385,96530498,96858746,96908012,97070167,97134048,97241838,97414097,97876977,97973613,98070092,98394673,98689780,98824864,99179407,99319447,99878887,...,396509195939257802852961537409667974837824794861377416257188125880595477324777404960570234291133884925668419720611025422260095204321242919533756851547409054796962329125122519693882023932143138085264848542252836139590316842608813165575541418690656654800595514757435895603268215826826878187649789023436459190737072977818318868825911463559834010532362061868505297855492574104174894253081029988087679908654668508231427641787392793437216013327296666344066049347074523399485076691778390360613225688936478447747715176627982006533331363831895664706529903564603750459663985185750890110123494705951697985505761377808481426780400129949300527436691312859461015646858282055100756027578594890293063648463696190205150515943668942349057195772941365214694547137553063182646864831590030821258625900097530594046351986640212534030227250948398337359275896855282378129061097529570524720545502726394340385051329581182497566803920990283113210711730249785395154030077877742017748097854279857398380180542105756863983694211002405398801305031300630968106085440771745832258334607972520345031733158517242745397553157753161524659354809861980778790329669709741641547474429926713354009652715985340529972610263020326147389598818740051197218704367474479538390771302008140579201143225980679548394640553629629002231276120184671907024994821632512210616069483562778396332955937922047754318425455173289804433162722852817995181319986472479650136953054470408489628851647427633775483125266415007642805174741243705247451202940831632935481497839931634904306529127099394418237259056238623821809566293217260149407414332209026948881743975850859241649701474358622281060965742522854178019464649276299715451393624407988340335083176865413511581508794756751443955185515112450821180164897405223692465467612429945993748490576911048616648643902326164450359545688614894398887720626112953991550745285935553086532085111066573184073025060936564929748852218518461247648434041143734186264921828481083684542427480201959058100801180974736760614277004071322856352177545458791399206215098105419274154408980228768405152523717477504577504257476481772897313288258267520975983678335350446827856339902608313445343665096840229806396267779481504931699000677634148146101815162080771257893563434354284303378752290483635836860768441030488874480186602349636369940280470844159383520493313554812388898575266334785092196851649838048333672746628820314828247414735228021885686298035151056860690928191893008097970442099971748927278376008219907689935524190924131861283077462588757904726463779645869069292315374888353176360847222072119413773023750039519929509954332662044719525150147460294860015477013758730813227265818616327960814496145336375198942936415134685832703946895342215165023359895515351743380761161700186581447468350751091509901330756720562994952593096855222299054264190920136300042331826911963518727624215123275277600818633591215199073935198454885238806401964777253768754521566080930864014513881178343790791515118154357168516729686198962628026173303446457166472362903178879305701172446293348338458731239548769866734675793686312054881265698051174150478687733070177623342516643505617295056214227498805828855100443487877933357127421482001082464385443349281575791591678869882619838278093114920128845243129941467682386443233668765285402248689049954064616414947748939396220347141750336364613210693076036646521384063304104899456473542616566748613940735781275774326032150232133500777964242235888161001493571475975712217113180522374788882303070437566078306579323105198279616041707750366119265392419780726038081648714724721580621005075896610001031722971791720774583472051699590249036753582683581384376223736465417652207600017637295054076662199641269698987968795240757702434799814299260635678835655087232807405242908566884318251646706642353012802303089801691449771656750859628149029169970401108365892614920506977031102158196667154528490096004124792028584404038580454738437754508656646984970570678069911261591897732039047704180679007821497995105461265929690153856625372603924737362456554640449840164467625450712741967063558103191359515943408167611430662078470780330250263986904771425073929251288595210815333684742930933009828363901199540526275418881771658281595451052349357280238214186880437832047237979114064063288639597151234405287997770395738914111317294220083092639630100114184485549938053898589027262042202343951843991691737887425169940392658157524846648247065654794791211638691225912934588544186828013205826459452573921272790154423540439977600064542364384913027537730516730396668281786389454903347272294578486948006696970034918322116535887493371671916467299886419637031474250576952889380218382450634169373809702996272754040314093741767453046588242166369804588456274978172175931009001378266542474826341703711875758515306636209789395251777316716576685850834708116129466000671926754882015907677297735239579542562052253855477439161768898459690081073454427255755844}
30689 2315633986354558649164384951958943871202178376095452170454041719922392734193779530741471: {30689,1073695,1288434,1533850,1840620,1963328,1993615,2208744,2361667,2392338,2484837,3373810,3402039,3526015,3952947,4048572,4231218,5733607,6011516,6281815,7199695,7538178,8117215,8155826,8587880,8639634,9661365,9740658,9777031,9998679,10305456,10363418,11501625,11593638,11642979,11651180,11983759,12268400,13301666,13801950,13817287,13981416,14379159,14594636,14722080,15106999,15703552,15729093,15836227,15873074,16210147,16358695,16562340,17538092,17655447,17666496,18443474,19002380,19059439,19403695,19630434,19874808,20012215,20434879,20849480,21349807,22128578,22359159,22675820,22802856,23284434,23455665,24014658,24698258,24886988,25019376,25481695,25653213,25760671,25812147,26347820,27210984,27227770,28146798,29120815,29423815,29472794,29679848,30578034,30612357,31617384,32673324,33009847,33381219,33389829,33920247,33971047,34245458,34459059,34944978,35171276,35308578,35552840,35569557,36090386,36656204,36946399,39098695,39298647,39598508,39996945,40310396,40766467,41086399,41797052,41852265,41979747,42663408,42716215,43067186,44092034,44522815,44642416,45189939,46209644,46694131,46918434,47996334,48131695,49458099,49578837,49662319,49824125,49877036,50037031,50222718,50244680,51134695,51259458,51365647,52118679,52780570,53427378,53467267,53563964,54323234,54389959,55862818,56525265,57586280,57758034,57953852,58237810,58703839,59022425,59442199,59788950,60293616,60596247,60719527,61361634,62033576,62327839,62591119,62988620,63336684,63774880,64538306,64582796,64784565,65195215,65305292,65340579,65605879,66235039,66392499,66784519,66983815,67523948,67830318,69018519,69103536,69639794,69664015,69721447,69787773,69885372,70713907,70826910,70860488,70946170,70966519,71746740,73529695,73598839,73617061,73731747,75205699,75548704,75586344,75905215,76011571,76201699,76342647,76381810,76529856,76606399,76701031,77067596,77115194,77604620,77741478,78200936,78234258,78871015,78948147,79407247,79718049,80380578,82424695,82487839,83596818,84008947,84317750,84540439,84992292,85034637,85135404,85972615,86096088,86471756,87359612,87976053,88235634,88334695,89009647,89039770,89204419,89219815,89507311,89854999,90005426,91086258,91273759,91658172,92044546,92167615,92197580,92790199,93125544,93820807,94645218,94805959,95614279,95673967,95851304,96196879,96522339,96858099,98909634,99085719,99485420,99742965,99916738,...,594763793908886704279442306114501962256737192292066124385782188820893215987166107440855351436700827388502629580916538133390142806481864379300635277321113582195443493687683779540823035898214707127897272813379254209385475263913219748363312128035984982200893272136153843404902323740240317281474683535154688786105609466727478303238867195339751015798543092802757946783238861156262341379621544982131519862982002762347141462681089190155824019990944999516099074020611785099227615037667585540919838533404717671621572764941973009799997045747843497059794855346905625689495977778626335165185242058927546978258642066712722140170600194923950791155036969289191523470287423082651134041367892335439595472695544285307725773915503413523585793659412047822041820706329594773970297247385046231887938850146295891069527979960318801045340876422597506038913845282923567193591646294355787080818254089591510577576994371773746350205881485424669816067595374678092731045116816613026622146781419786097570270813158635295975541316503608098201957546950946452159128161157618748387501911958780517547599737775864118096329736629742286989032214792971168185494504564612462321211644890070031014479073978010794958915394530489221084398228110076795828056551211719307586156953012210868801714838971019322591960830444443503346914180277007860537492232448768315924104225344167594499433906883071631477638182759934706649744084279226992771979979708719475205429581705612734443277471141450663224687899622511464207762111865557871176804411247449403222246759897452356459793690649091627355888584357935732714349439825890224111121498313540423322615963776288862474552211537933421591448613784281267029196973914449573177090436611982510502624765298120267372263192135127165932778272668676231770247346107835538698201418644918990622735865366572924972965853489246675539318532922341598331580939169430987326117928903329629798127666599859776109537591404847394623278327777691871472651061715601279397382742721625526813641220302938587151201771462105140921415506106984284528266318188187098809322647158128911231613470343152607728785576216256866256386214722659345969932387401281463975517503025670241784509853912470168015497645260344709594401669222257397548501016451222219152722743121156886840345151531426455068128435725453755291152661545733311720279903524454554910420706266239075280739970332218583347862899502177638295277474757072500509119943230472242371122102842032828529447052726585291036392287839512146955663149957623390917564012329861534903286286386197791924616193883136857089695669468803603938473062332529764541270833108179120659535625059279894264931498993067079287725221190442290023215520638096219840898727924491941221744218004562798414404622702028749055920343013322747535039843273027615071141742550279872171202526126637264851996135080844492428889645282833448581396286380204450063497740367945278091436322684912916401227950386822798610902797682327858209602947165880653131782349121396296021770821767515686187272677231535752775094529298443942039259955169685749708544354768318958551758669440022507688096859323154800102013690529468082321898547076761225718031599605266435013774965258425942584321341248208743282650665231816900035691132223001623696578165023922363687387518304823929757417139672380193267864694912201523579664850503147928103373033574931096924622421623409094330520712625504546919816039614054969782076094956157349184710313924850122920911103671913661489048225348200251166946363353832241502240357213963568325669770783562183323454605656349117459868984657797419424062561625549178898088629671089057122473072087082370931507613844915001547584457687581161875208077549385373555130374025372076564335604698126478311400026455942581114993299461904548481953192861136553652199721448890953518253482630849211107864362850326477377470059963529519203454634702537174657485126289442223543754955601662548838922380760465546653237295000731792735144006187188042876606057870682107656631762984970477455856017104866892387846598058571556271018511732246992658191898894535230784938058905887106043684831960674760246701438176069112950595337154787039273915112251417145993117706170495375395980357157137610893876932892816223000527114396399514742545851799310789413128322657487422393176578524035920357321280320656748070856968671096094932959395726851607931996655593608371166975941330124638959445150171276728324907080847883540893063303515927765987537606831137754910588987236287269972370598482192186817458036838869401882816280242019808739689178860881909185231635310659966400096813546577369541306595775095595002422679584182355020908441867730422010045455052377483174803831240057507874700949829629455547211375865429334070327573675951254060714554494409131060471140612651179569882363249554706882684412467258263896513502067399813712239512555567813637772959954314684092877665975074865028776252062174194199001007890132323023861515946602859369313843078380783216158742653347689535121610181640883633766}
30690 2322746886874830357092384925324108409106463194385524818579795870025156860554835517305205: {398801,582749,674894,889169,1042814,1256609,1440221,1623761,1717912,1807229,1932651,2300775,2454160,2760930,2944992,2967521,3189784,3313116,3455201,3588507,4003229,4185761,4536052,4611389,5060715,5270596,5279441,5398096,5522129,5641624,5885921,6007121,6067709,6072858,6346827,6794141,7338209,7514395,8002301,8005934,9017274,9100622,10050904,10589009,10734850,10922222,11128541,11307267,11519512,11607581,11649854,12013454,12026321,12233739,12683549,12743249,12881820,12959451,12987544,13041629,13331572,13578209,13740608,14114141,14471069,14554622,14563975,14610987,14708861,15184061,15335500,15362129,15458184,15523972,15545127,15641534,15718049,16784081,17197949,17375201,17390457,17476770,17670461,17847521,18024509,18083489,18243295,18402600,18613949,18641888,18967229,19172212,19320221,19629440,19849169,19952499,20318801,20702925,20972124,21022289,21056654,21891954,21922615,22083120,22250621,23009249,23125841,23540596,23555328,23752975,23809611,24173729,24231869,24580541,24696701,24843510,25044989,25365422,25450961,25566881,25969867,26061850,26173912,26307138,26435261,26499744,27647969,27665211,27878561,28344775,28503570,28742141,29445651,29653454,29812212,30234749,30292049,30403808,31045912,31093409,31108735,31274220,31436369,32019544,32292509,32634461,32805329,32934775,33033041,33192867,33203741,33359168,34013730,34056161,34204284,34275422,34339901,34416196,34926651,35868641,36021987,36046622,36281312,36433361,37047387,37099810,37107614,37330482,37529064,37616669,37897889,37954109,38235089,38291261,38403581,38520254,38964701,39062114,39521730,39578222,40634894,40770712,40816476,40841655,42092189,42156512,42220197,42314621,42648029,43258529,43313981,43480289,43564432,43757309,43964095,44089469,44209191,44421341,44441050,44508292,44519772,44973821,45226996,45249761,45415229,45548894,45635741,45820255,45867051,45945412,46593304,46901201,47078104,47285501,47426076,48107681,48271901,48344222,48381341,48436049,49009986,49041614,49498135,50387995,50400209,51368187,51703889,52246315,52299869,52398196,52417467,52624541,52756914,52840829,52962867,53273021,53329260,53974241,54082001,54135579,54279379,54727889,54984306,55292222,55533629,55803020,55972996,56329454,56819069,56884544,57032861,57193121,57460061,57710414,57762055,58099901,58153169,59057501,59216849,59397762,59588381,59694461,60012509,60253252,60330269,60465422,60465594,60859229,61123409,61176221,61440161,62002927,62346295,62557912,62695578,62805850,63019601,63806621,63995112,64016189,64600779,64800929,64957661,65218721,65944132,66105116,66138051,66312989,66365009,66954955,66963624,67144349,67403729,67455581,67714721,67994174,68180669,68345944,68425819,69314466,69491572,70035374,70377651,70462051,71236504,71475389,71982850,71994501,72442315,72498269,72804509,72855521,73263329,73568849,73874081,74102222,74507719,74534429,74635901,74815554,74838749,75115694,75294689,75334077,75367020,75395921,75749981,75790622,76305569,76464974,76809809,76889187,77010712,77541970,77815889,78016721,78735775,79169021,79170855,79718600,79828094,80141067,80267261,80345946,80391488,80516321,80728495,80794996,81013841,81262301,81484851,81560189,81631615,81815512,81907361,82006481,83045309,83094689,83794227,83869891,83982161,84404935,84448912,85014269,85749329,86379420,86511134,86637051,86843774,86930778,87067901,87120772,87356715,87506129,88040861,88186529,88523332,88575610,89252561,89397629,89683425,90440424,90824222,90940541,91084769,91852769,92024692,92042451,92138048,92570909,92953181,93050364,93093434,93096401,93180496,93954209,94435880,94482930,95005026,95141309,95425469,95662320,96276221,96334495,96702067,96756014,96807459,96874194,97005775,97077329,97124381,97751170,97829201,97923041,97957938,98063741,98251229,98308996,98906429,99050222,99233441,99793121,...,892145690863330056419163459171752943385105788438099186578673283231339823980749161161283027155051241082753944371374807200085214209722796568950952915981670373293165240531525669311234553847322060691845909220068881314078212895869829622544968192053977473301339908204230765107353485610360475922212025302732033179158414200091217454858300793009626523697814639204136920174858291734393512069432317473197279794473004143520712194021633785233736029986417499274148611030917677648841422556501378311379757800107076507432359147412959514699995568621765245589692283020358438534243966667939502747777863088391320467387963100069083210255900292385926186732555453933787285205431134623976701062051838503159393209043316427961588660873255120285378690489118071733062731059494392160955445871077569347831908275219443836604291969940478201568011314633896259058370767924385350790387469441533680621227381134387265866365491557660619525308822228137004724101393062017139096567675224919539933220172129679146355406219737952943963311974755412147302936320426419678238692241736428122581252867938170776321399606663796177144494604944613430483548322189456752278241756846918693481817467335105046521718610967016192438373091795733831626597342165115193742084826817578961379235429518316303202572258456528983887941245666665255020371270415511790806238348673152473886156338016251391749150860324607447216457274139902059974616126418840489157969969563079212808144372558419101664916206712175994837031849433767196311643167798336806765206616871174104833370139846178534689690535973637441033832876536903599071524159738835336166682247470310634983923945664433293711828317306900132387172920676421900543795460871674359765635654917973765753937147947180401058394788202690748899167409003014347655371019161753308047302127967378485934103798049859387459448780233870013308977799383512397497371408754146480989176893354994444697191499899789664164306387107271091934917491666537807208976592573401919096074114082438290220461830454407880726802657193157711382123259160476426792399477282280648213983970737193366847420205514728911593178364324385299384579322083989018954898581101922195963276254538505362676764780868705252023246467890517064391602503833386096322751524676833328729084114681735330260517727297139682602192653588180632936728992318599967580419855286681832365631059399358612921109955498327875021794349253266457442916212135608750763679914845708363556683154263049242794170579089877936554588431759268220433494724936435086376346018494792302354929429579296687886924290824705285634543504203205405907709593498794646811906249662268680989303437588919841397397248489600618931587831785663435034823280957144329761348091886737911832616327006844197621606934053043123583880514519984121302559764909541422606712613825419808256803789189955897277994202621266738643334467924250172872094429570306675095246610551917917137154484027369374601841925580234197916354196523491787314404420748820979697673523682094444032656232651273529280909015847303629162641793947665913058889932754528624562816532152478437827638004160033761532145288984732200153020535794202123482847820615141838577047399407899652520662447887638913876482011872313114923975997847725350053536698334502435544867247535883545531081277457235894636125709508570289901797042368302285369497275754721892155059550362396645386933632435113641495781068938256820379724059421082454673114142434236023777065470887275184381366655507870492233572338022300376750419545030748362253360535820945352488504656175343274985181908484523676189803476986696129136093842438323768347132944506633585683709608130623556397261420767372502321376686531371742812812116324078060332695561038058114846503407047189717467100039683913871672489949192856822722929789291704830478299582173336430277380223946273816661796544275489716066205089945294278805181952053805761986227689434163335315632433402493823258383571140698319979855942501097689102716009280782064314909086806023161484947644477455716183784025657300338581769897087857334406527767598370488987287848341802846177407088358830659065527247941012140370052157264103669425893005732180558910872668377125718989676559255743063093970535735706416340815399339224334500790671594599272113818777698966184119692483986231133589764867786053880535981920480985122106285453006644142399439093590277411897994983390412556750463911995186958439167725256915092487360621271825311339594955273891648981306410246706632365883480854430904958555897723288280226187055258304102824224420363029713109533768291322863777847452965989949600145220319866054311959893662643392503634019376273532531362662801595633015068182578566224762205746860086261812051424744444183320817063798144001105491360513926881091071831741613696590706710918976769354823544874332060324026618700887395844770253101099720568359268833351720456659439931472026139316498962612297543164378093261291298501511835198484535792273919904289053970764617571174824238113980021534302682415272461325450649}
30691 2329881509991430028008633694460576507986898504189630740405268352828553731808217465954771: {61378,1012341,1503173,1564221,2147390,2576868,2791061,3067700,3681240,3926656,3987230,4141395,4417488,4723334,4784676,4936421,4969674,5670065,6408149,6588245,6747620,6776081,6804078,7052030,7905894,8097144,8462436,8794541,9109287,10079573,10451309,11364101,11467214,11554673,12008901,12023032,12471701,12563630,13393613,13525911,13650933,14399390,14491301,15076356,16102275,16148861,16234430,16311652,16329521,16383333,16664465,16884293,17175760,17279268,17474781,18020181,18715541,19169375,19270673,19322730,19404965,19481316,19554062,19997358,20610912,20726836,21831933,21844181,22391261,22902173,23003250,23187276,23285958,23302360,23462301,23861549,23965265,23967518,24536800,26066981,26215155,26603332,27165173,27537269,27603900,27634574,27962832,28017101,28758318,29189272,29425745,29444160,30213998,31407104,31458186,31584981,31672454,31746148,32420294,32717390,32837931,33124680,34643741,35076184,35310894,35332992,35674373,36886948,37265265,38004760,38048133,38118878,38807390,39092775,39260868,39460707,39749616,40024430,40147601,40769141,40869758,41193341,41698960,42682541,42699614,42755355,43020245,44257156,44480181,44718318,45351640,45605712,45920093,46568868,46911330,48029316,49396516,49773976,50038752,50421473,50708669,50963390,51020595,51306426,51413133,51521342,51624294,52695640,54069933,54421968,54455540,54716981,54738173,55183973,55635365,55649715,55661421,55995723,56293596,56533745,57431765,57780381,58241630,58593171,58847630,58945588,59134673,59282595,59359696,59367333,59802701,60952341,61156068,61224714,62331941,63234768,63541661,65346648,65497745,65610173,66019694,66661575,66762438,66779658,67384373,67840494,67942094,68323341,68490916,68918118,69048401,69753775,69889956,69966245,70342552,70617156,70718549,71105680,71139114,71588573,71759441,72180772,72516333,73312408,73514979,73562421,73892798,75316565,76611413,78197390,78597294,78674621,79135371,79197016,79993890,80620792,81449873,81532934,82172798,82430165,82476459,82631395,82938333,83570981,83594104,83704530,83959494,84494181,85326816,85432430,86134372,86565621,86864465,88184068,89045630,89096643,89284832,90379878,90646673,90698133,90698391,91273301,91279733,91516961,92419288,92637941,93351581,93388262,93777341,93826961,93836868,94043367,94208775,94486373,95680229,95992668,96263390,96286973,96578033,97529621,97568501,97601213,98855441,98916198,99157674,99283301,99324638,99648250,99754072,...,1189527587817773408558884612229003924513474384584132248771564377641786431974332214881710702873401654777005259161833076266780285612963728758601270554642227164390886987375367559081646071796429414255794545626758508418770950527826439496726624256071969964401786544272307686809804647480480634562949367070309377572211218933454956606477734390679502031597086185605515893566477722312524682759243089964263039725964005524694282925362178380311648039981889999032198148041223570198455230075335171081839677066809435343243145529883946019599994091495686994119589710693811251378991955557252670330370484117855093956517284133425444280341200389847901582310073938578383046940574846165302268082735784670879190945391088570615451547831006827047171587318824095644083641412659189547940594494770092463775877700292591782139055959920637602090681752845195012077827690565847134387183292588711574161636508179183021155153988743547492700411762970849339632135190749356185462090233633226053244293562839572195140541626317270591951082633007216196403915093901892904318256322315237496775003823917561035095199475551728236192659473259484573978064429585942336370989009129224924642423289780140062028958147956021589917830789060978442168796456220153591656113102423438615172313906024421737603429677942038645183921660888887006693828360554015721074984464897536631848208450688335188998867813766143262955276365519869413299488168558453985543959959417438950410859163411225468886554942282901326449375799245022928415524223731115742353608822494898806444493519794904712919587381298183254711777168715871465428698879651780448222242996627080846645231927552577724949104423075866843182897227568562534058393947828899146354180873223965021005249530596240534744526384270254331865556545337352463540494692215671077396402837289837981245471730733145849945931706978493351078637065844683196663161878338861974652235857806659259596255333199719552219075182809694789246556655555383742945302123431202558794765485443251053627282440605877174302403542924210281842831012213968569056532636376374197618645294316257822463226940686305215457571152432513732512772429445318691939864774802562927951035006051340483569019707824940336030995290520689419188803338444514795097002032902444438305445486242313773680690303062852910136256871450907510582305323091466623440559807048909109820841412532478150561479940664437166695725799004355276590554949514145001018239886460944484742244205684065657058894105453170582072784575679024293911326299915246781835128024659723069806572572772395583849232387766273714179391338937607207876946124665059529082541666216358241319071250118559788529862997986134158575450442380884580046431041276192439681797455848983882443488436009125596828809245404057498111840686026645495070079686546055230142283485100559744342405052253274529703992270161688984857779290565666897162792572760408900126995480735890556182872645369825832802455900773645597221805595364655716419205894331761306263564698242792592043541643535031372374545354463071505550189058596887884078519910339371499417088709536637917103517338880045015376193718646309600204027381058936164643797094153522451436063199210532870027549930516851885168642682496417486565301330463633800071382264446003247393156330047844727374775036609647859514834279344760386535729389824403047159329701006295856206746067149862193849244843246818188661041425251009093839632079228109939564152189912314698369420627849700245841822207343827322978096450696400502333892726707664483004480714427927136651339541567124366646909211312698234919737969315594838848125123251098357796177259342178114244946144174164741863015227689830003095168915375162323750416155098770747110260748050744153128671209396252956622800052911885162229986598923809096963906385722273107304399442897781907036506965261698422215728725700652954754940119927059038406909269405074349314970252578884447087509911203325097677844761520931093306474590001463585470288012374376085753212115741364215313263525969940954911712034209733784775693196117143112542037023464493985316383797789070461569876117811774212087369663921349520493402876352138225901190674309574078547830224502834291986235412340990750791960714314275221787753865785632446001054228792799029485091703598621578826256645314974844786353157048071840714642560641313496141713937342192189865918791453703215863993311187216742333951882660249277918890300342553456649814161695767081786126607031855531975075213662275509821177974472574539944741196964384373634916073677738803765632560484039617479378357721763818370463270621319932800193627093154739082613191550191190004845359168364710041816883735460844020090910104754966349607662480115015749401899659258911094422751730858668140655147351902508121429108988818262120942281225302359139764726499109413765368824934516527793027004134799627424479025111135627275545919908629368185755331950149730057552504124348388398002015780264646047723031893205718738627686156761566432317485306695379070243220363281767267532}
30692 2337037921661662263488074292509209415152714744298410424544770746789096787064837327970487: {92067,797602,950491,1165498,1317907,1349788,1778338,1868491,2085628,2513218,2880442,3221085,3247522,3435824,3614458,3834625,3865302,4246867,4601550,4908320,4976227,5521860,5889984,5935042,5980845,6068107,6379568,6626232,6794587,6910402,7085001,7177014,7454511,8006458,8371522,8434525,9072104,9222778,10121430,10206117,10520153,10541192,10558882,10578045,10796192,11044258,11283248,11308987,11488627,11771842,11858841,12014242,12135418,12145716,12693654,12744091,13102147,13281067,13588282,14676418,15028790,15778387,16004602,16011868,17200821,18034548,18084691,18201244,18845445,20101808,20389565,21178018,21257947,21469700,21599085,21844444,21959947,22257082,22614534,23039024,23215162,23299708,24026908,24052642,24233491,24351645,24467478,24756427,25367098,25486498,25540613,25626547,25763640,25908545,25918902,25975088,26083258,26663144,27156418,27481216,28228282,28942138,28984095,29109244,29127950,29221974,29331093,29417722,29950147,29996037,30294091,30368122,30671000,30691661,30724258,30916368,31047944,31090254,31152691,31283068,31436098,31495627,32351707,33205987,33254165,33568162,34395898,34504875,34750402,34780914,34928937,34953540,35340922,35695042,35951277,36049018,36166978,36486590,36774307,36805200,37227898,37283776,37934458,37956691,38293867,38344424,38640442,39258880,39682685,39698338,39904998,40478491,40637602,41405850,41451861,41649787,41944248,42044578,42113308,42984091,43137477,43316947,43552229,43783908,43845230,44166240,44501242,45320997,46018498,46108685,46251682,47081192,47110656,47187279,47505950,47508681,47619222,48347458,48439387,48463738,48630441,49076085,49161082,49393402,49687020,50089978,50730844,50893147,50901922,51133762,51544747,51939734,52123700,52347824,52614276,52870522,52966341,52999488,54139627,55295938,55321445,55330422,55591147,55757122,56689550,57007140,57178317,57484282,58157227,58211085,58891302,59306908,59624424,59751667,60036645,60387427,60469498,60584098,60807616,61180507,61304637,61549733,61745645,62091824,62129827,62186818,62217470,62548440,62872738,64039088,64049421,64148357,64585018,64805491,65268922,65610658,65869550,66066082,66369691,66385734,66407482,66718336,67077477,67460347,68027460,68069425,68112322,68408568,68550844,68679802,68832392,69297389,69785587,69853302,70366995,70543193,71737282,72043974,72093244,72562624,72860707,72866722,73144841,73681985,74094774,74199620,74215228,74660964,75058128,75233338,75795778,75908218,76361491,76445085,76470178,76582522,76807162,76815307,76959639,77040508,77282013,77436441,77871691,77929402,78124228,79043460,79156444,80866877,81269788,81541424,81632952,81683310,81913267,83100691,83273333,83544787,84184378,84313024,84440394,84578491,84629242,85296058,85613645,85755547,86517058,86627962,86960578,87074227,87128864,87284813,87362445,87514618,87928190,88054577,88178938,88271445,88418382,88842682,88882100,89016584,89039544,89947642,90225965,90453992,90499522,90830458,91097788,91139491,91271482,91640510,91734102,91837071,91890824,93186608,93580147,93736937,93802402,94156208,94571002,94852152,96215362,96543802,96688444,96762682,96872098,97131547,98019972,98083228,98258491,98996270,99029541,...,1784291381726660112838326918343505886770211576876198373157346566462679647961498322322566054310102482165507888742749614400170428419445593137901905831963340746586330481063051338622469107694644121383691818440137762628156425791739659245089936384107954946602679816408461530214706971220720951844424050605464066358316828400182434909716601586019253047395629278408273840349716583468787024138864634946394559588946008287041424388043267570467472059972834998548297222061835355297682845113002756622759515600214153014864718294825919029399991137243530491179384566040716877068487933335879005495555726176782640934775926200138166420511800584771852373465110907867574570410862269247953402124103677006318786418086632855923177321746510240570757380978236143466125462118988784321910891742155138695663816550438887673208583939880956403136022629267792518116741535848770701580774938883067361242454762268774531732730983115321239050617644456274009448202786124034278193135350449839079866440344259358292710812439475905887926623949510824294605872640852839356477384483472856245162505735876341552642799213327592354288989209889226860967096644378913504556483513693837386963634934670210093043437221934032384876746183591467663253194684330230387484169653635157922758470859036632606405144516913057967775882491333330510040742540831023581612476697346304947772312676032502783498301720649214894432914548279804119949232252837680978315939939126158425616288745116838203329832413424351989674063698867534392623286335596673613530413233742348209666740279692357069379381071947274882067665753073807198143048319477670672333364494940621269967847891328866587423656634613800264774345841352843801087590921743348719531271309835947531507874295894360802116789576405381497798334818006028695310742038323506616094604255934756971868207596099718774918897560467740026617955598767024794994742817508292961978353786709988889394382999799579328328612774214542183869834983333075614417953185146803838192148228164876580440923660908815761453605314386315422764246518320952853584798954564561296427967941474386733694840411029457823186356728648770598769158644167978037909797162203844391926552509077010725353529561737410504046492935781034128783205007666772192645503049353666657458168229363470660521035454594279365204385307176361265873457984637199935160839710573363664731262118798717225842219910996655750043588698506532914885832424271217501527359829691416727113366308526098485588341158179755873109176863518536440866989449872870172752692036989584604709858859158593375773848581649410571269087008406410811815419186997589293623812499324537361978606875177839682794794496979201237863175663571326870069646561914288659522696183773475823665232654013688395243213868106086247167761029039968242605119529819082845213425227650839616513607578379911794555988405242533477286668935848500345744188859140613350190493221103835834274308968054738749203683851160468395832708393046983574628808841497641959395347047364188888065312465302547058561818031694607258325283587895331826117779865509057249125633064304956875655276008320067523064290577969464400306041071588404246965695641230283677154094798815799305041324895775277827752964023744626229847951995695450700107073396669004871089734495071767091062162554914471789272251419017140579803594084736604570738994551509443784310119100724793290773867264870227282991562137876513640759448118842164909346228284868472047554130941774550368762733311015740984467144676044600753500839090061496724506721071641890704977009312350686549970363816969047352379606953973392258272187684876647536694265889013267171367419216261247112794522841534745004642753373062743485625624232648156120665391122076116229693006814094379434934200079367827743344979898385713645445859578583409660956599164346672860554760447892547633323593088550979432132410179890588557610363904107611523972455378868326670631264866804987646516767142281396639959711885002195378205432018561564128629818173612046322969895288954911432367568051314600677163539794175714668813055535196740977974575696683605692354814176717661318131054495882024280740104314528207338851786011464361117821745336754251437979353118511486126187941071471412832681630798678448669001581343189198544227637555397932368239384967972462267179529735572107761071963840961970244212570906013288284798878187180554823795989966780825113500927823990373916878335450513830184974721242543650622679189910547783297962612820493413264731766961708861809917111795446576560452374110516608205648448840726059426219067536582645727555694905931979899200290440639732108623919787325286785007268038752547065062725325603191266030136365157132449524411493720172523624102849488888366641634127596288002210982721027853762182143663483227393181413421837953538709647089748664120648053237401774791689540506202199441136718537666703440913318879862944052278632997925224595086328756186522582597003023670396969071584547839808578107941529235142349648476227960043068605364830544922650901298}
30693 2344216188041944062369962547939712464083019592565807278786105499131241100701052523850364: {122756,1196403,1687235,1748247,2024682,2607035,2667507,3006346,3128442,3711191,3769827,4294780,4320663,4871283,5153736,5421687,5582122,5797953,6135400,6902325,7362480,7573267,7853312,7938091,7974460,8282790,8834976,8902563,9223543,9446668,9569352,9872842,9939348,10365603,10765521,11340130,12009687,12351547,12557283,12816298,13176490,13495240,13552162,13608156,13834167,14104060,14739283,15182145,15811788,15838323,16194288,16566387,16924872,17126083,17589082,17657763,18021363,18048727,18203127,18218574,19040481,20014835,20159146,20382423,20902618,21537811,22014627,22543185,22728202,22751555,22934428,23109346,23330251,24006903,24017802,24046064,24943402,25025527,25127260,26787226,26837125,27051822,27166951,27301866,27305555,28798780,28982602,29124635,29436391,29950547,30033635,30152712,31767027,32204550,32297722,32468860,32623304,32659042,32766666,33328930,33385623,33551371,33768586,33921801,34351520,34558536,34822743,34949562,36040362,36078963,36386555,36701217,37431082,38050647,38229747,38338750,38541346,38645460,38809930,38878353,38962632,39103835,39108124,39124887,39994716,40734627,40942603,41196043,41221824,41453672,42342423,43166723,43413207,43663866,43688362,43691925,43832961,44126583,44782522,45552183,45804346,46006500,46086387,46374552,46571916,46604720,46635381,46924602,47154147,47723098,47930530,47935036,49073600,50352243,50443003,51593847,52125603,52133962,52171371,52430310,52641635,53011383,53206664,53542563,54073527,54250467,54330346,54729885,55074538,55207800,55269148,55841847,55925664,56034202,56353411,56901687,57516636,57960663,58058627,58378544,58851490,58888320,59547507,59857497,59928427,60228343,60427996,60956403,62108775,62814208,62916372,62990987,63066867,63169962,63344908,63413555,63492296,64061591,64665523,64840588,65154625,65434780,65675862,65767845,66249360,66751863,69027747,69287482,69377523,70152368,70621788,70665984,71125331,71258925,71348746,71428833,72521187,72695607,73741623,73773896,74004467,74090103,74133635,74530530,75134967,76009520,76096266,76207163,76237756,76352883,76700643,77614780,77889511,77909601,78040787,78185550,78521736,78921414,79147243,79305783,79417643,79499232,80048860,80295202,80404471,81538282,81739516,82386682,82943907,82995633,83397920,83576467,83635683,84019991,85034325,85365082,85399228,85510710,85688555,86040490,86226423,86615051,88336953,88514312,88960362,89376571,89436636,90116555,90703280,90704247,90876147,91032211,91211424,91696843,91840186,92014007,92749525,92769035,92802371,93137736,93280227,93326205,93822660,94309107,94818371,95981203,96058632,96300635,96877527,97574887,97655285,97903383,97943747,97952743,98415987,98793032,98804325,98945555,99099123,99547952,99578601,99611223,...,2676437072589990169257490377515258830155317365314297559736019849694019471942247483483849081465153723248261833114124421600255642629168389706852858747945011119879495721594577007933703661541966182075537727660206643942234638687609488867634904576161932419904019724612692295322060456831081427766636075908196099537475242600273652364574902379028879571093443917612410760524574875203180536208296952419591839383419012430562136582064901355701208089959252497822445833092753032946524267669504134934139273400321229522297077442238878544099986705865295736769076849061075315602731900003818508243333589265173961402163889300207249630767700877157778560197666361801361855616293403871930103186155515509478179627129949283884765982619765360856136071467354215199188193178483176482866337613232708043495724825658331509812875909821434604704033943901688777175112303773156052371162408324601041863682143403161797599096474672981858575926466684411014172304179186051417289703025674758619799660516389037439066218659213858831889935924266236441908808961279259034716076725209284367743758603814512328964198819991388531433483814833840291450644966568370256834725270540756080445452402005315139565155832901048577315119275387201494879792026495345581226254480452736884137706288554948909607716775369586951663823736999995765061113811246535372418715046019457421658469014048754175247452580973822341649371822419706179923848379256521467473909908689237638424433117675257304994748620136527984511095548301301588934929503395010420295619850613522314500110419538535604069071607920912323101498629610710797214572479216506008500046742410931904951771836993299881135484951920700397161518762029265701631386382615023079296906964753921297261811443841541203175184364608072246697502227009043042966113057485259924141906383902135457802311394149578162378346340701610039926933398150537192492114226262439442967530680064983334091574499699368992492919161321813275804752474999613421626929777720205757288222342247314870661385491363223642180407971579473134146369777481429280377198431846841944641951912211580100542260616544186734779535092973155898153737966251967056864695743305766587889828763615516088030294342606115756069739403671551193174807511500158288968254574030499986187252344045205990781553181891419047806577960764541898810186976955799902741259565860045497096893178198075838763329866494983625065383047759799372328748636406826252291039744537125090670049462789147728382511737269633809663765295277804661300484174809305259129038055484376907064788288737890063660772872474115856903630512609616217723128780496383940435718748986806042967910312766759524192191745468801856794763495356990305104469842871432989284044275660213735497848981020532592864820802159129370751641543559952363907679294728624267820137841476259424770411367569867691833982607863800215930003403772750518616283288710920025285739831655753751411463452082108123805525776740702593749062589570475361943213262246462939093020571046283332097968697953820587842727047541910887487925381842997739176669798263585873688449596457435313482914012480101284596435866954196600459061607382606370448543461845425515731142198223698957561987343662916741629446035616939344771927993543176050160610095003507306634601742607650636593243832371707683908377128525710869705391127104906856108491827264165676465178651087189936160800897305340924487343206814770461139172178263247364019342427302708071331196412661825553144099966523611476700717014066901130251258635092245086760081607462836057465513968526029824955545725453571028569410430960088387408281527314971305041398833519900757051128824391870669191784262302117506964130059594115228438436348972234180998086683114174344539510221141569152401300119051741615017469847578570468168789367875114491434898746520009290832140671838821449985389632826469148198615269835882836415545856161417285958683068302490005946897300207481469775150713422094959939567827503293067308148027842346192944727260418069484454842933432367148551352076971901015745309691263572003219583302795111466961863545025408538532221265076491977196581743823036421110156471792311008277679017196541676732618005131377156969029677767229189281911607207119249022446198017673003502372014783797816341456333096898552359077451958693400769294603358161641607945761442955366318856359019932427198317280770832235693984950171237670251391735985560875317503175770745277462081863815475934018784865821674946943919230740119897097650442563292714875667693169864840678561165774912308472673261089089139328601304873968591333542358897969848800435660959598162935879680987930177510902058128820597594087988404786899045204547735698674286617240580258785436154274233332549962451191394432003316474081541780643273215495224841089772120132756930308064470634622996180972079856102662187534310759303299161705077806500055161369978319794416078417949496887836892629493134279783873895504535505595453607376821759712867161912293852713524472714341940064602908047245817383976351947}
30694 2351416375488402428299855064821996555459762912508446061779583995196619034950416358201280: {153445,184134,521509,705433,1595204,1900982,2330996,2635814,2699576,3037023,3089893,3556676,3736982,4171256,4186309,4509519,4692663,5026436,5368475,5760884,6007909,6442170,6495044,6871648,6916009,7228916,7669250,7730604,8003353,8373183,8493734,9203100,9816640,9952454,9968075,10530409,10710373,11043720,11779968,11808335,11870084,11961690,12136214,12147493,12424185,12759136,13252464,13589174,13820804,14170002,14354028,14809263,14829673,14909022,16012916,16743044,16786309,16869050,17010195,17630075,18144208,18445556,19224447,19440409,19764735,20242860,20328243,20412234,20497513,21040306,21082384,21117764,21156090,21592384,22088516,22566496,22617974,22977254,23128933,23543684,23717682,24028484,24270836,24291432,24525733,24700009,25387308,25488182,25570309,26204294,26383623,26562134,27176564,27327861,27997573,28343173,28545391,28668035,28861033,29033509,29352836,30057580,30238719,30582553,31353927,31409075,31440613,31556774,32009204,32023736,34092303,34344553,34401642,34664019,35194693,35998475,36026703,36069096,36169382,36271963,36402488,37415103,37690890,37734313,38408809,39922213,40090009,40180839,40203616,40577733,40586075,40779130,40809791,40952799,42356036,42431593,42515894,42939400,43198170,43430809,43473903,43597093,43688888,43919894,44514164,45229068,45752233,46078048,46430324,46555831,46599416,48053816,48105284,48306825,48388009,48446583,48466982,48703290,48885155,48934956,48988563,49149999,49512854,49993395,50189413,50652879,50734196,50972996,51081226,51253094,51527280,51817090,51837804,51950176,52166516,52424343,52631833,53326288,54060543,54089509,54312836,54735493,54962432,55555759,56146623,56456564,57307909,57508125,57812019,57884276,57968190,58214895,58218488,58255900,58443948,58662186,58835444,59065753,59702809,59900294,59918795,59992074,60588182,60736244,61342000,61383322,61448516,61448773,61832736,62095888,62180508,62305382,62566136,62872196,62991254,64552159,64703414,65495799,65532543,66411974,66508330,67136324,67173783,68190313,68345509,68706519,68791796,69009750,69086435,69500804,69561828,69857874,69907080,70386903,70681844,71280553,71390084,71584647,71587993,71895795,71902554,72098036,72333956,72973180,73548614,73610400,74455796,74567552,74646553,75406693,75534995,75861913,75868916,75913382,76587734,76619173,76688848,76921573,77280884,77450023,77525509,78128293,78200943,78517760,78645465,79180393,79181135,79365370,79396676,79809996,80677273,80956982,81050735,81274009,81275204,81495519,81793475,82018309,82611807,82811700,82903722,83299574,83888496,84051303,84089156,84092773,84226616,85124713,85296167,85968182,86274954,86443903,86633894,87104458,87178009,87567816,87690460,88277235,88332480,89002484,89362309,90641994,92036996,92217370,92503364,93110053,94162384,94221312,94374558,94754943,95011900,95017362,95238444,95297195,96694916,96878774,96927476,97018475,97260882,97433171,97937509,98152170,98322164,98413939,98513793,98786804,99341509,99374040,99901093,...,3568582763453320225676653836687011773540423153752396746314693132925359295922996644645132108620204964331015777485499228800340856838891186275803811663926681493172660962126102677244938215389288242767383636880275525256312851583479318490179872768215909893205359632816923060429413942441441903688848101210928132716633656800364869819433203172038506094791258556816547680699433166937574048277729269892789119177892016574082848776086535140934944119945669997096594444123670710595365690226005513245519031200428306029729436589651838058799982274487060982358769132081433754136975866671758010991111452353565281869551852400276332841023601169543704746930221815735149140821724538495906804248207354012637572836173265711846354643493020481141514761956472286932250924237977568643821783484310277391327633100877775346417167879761912806272045258535585036233483071697541403161549877766134722484909524537549063465461966230642478101235288912548018896405572248068556386270700899678159732880688518716585421624878951811775853247899021648589211745281705678712954768966945712490325011471752683105285598426655184708577978419778453721934193288757827009112967027387674773927269869340420186086874443868064769753492367182935326506389368660460774968339307270315845516941718073265212810289033826115935551764982666661020081485081662047163224953394692609895544625352065005566996603441298429788865829096559608239898464505675361956631879878252316851232577490233676406659664826848703979348127397735068785246572671193347227060826467484696419333480559384714138758762143894549764135331506147614396286096638955341344666728989881242539935695782657733174847313269227600529548691682705687602175181843486697439062542619671895063015748591788721604233579152810762995596669636012057390621484076647013232189208511869513943736415192199437549837795120935480053235911197534049589989485635016585923956707573419977778788765999599158656657225548429084367739669966666151228835906370293607676384296456329753160881847321817631522907210628772630845528493036641905707169597909129122592855935882948773467389680822058915646372713457297541197538317288335956075819594324407688783853105018154021450707059123474821008092985871562068257566410015333544385291006098707333314916336458726941321042070909188558730408770614352722531746915969274399870321679421146727329462524237597434451684439821993311500087177397013065829771664848542435003054719659382833454226732617052196971176682316359511746218353727037072881733978899745740345505384073979169209419717718317186751547697163298821142538174016812821623630838373995178587247624998649074723957213750355679365589588993958402475726351327142653740139293123828577319045392367546951647330465308027376790486427736212172494335522058079936485210239059638165690426850455301679233027215156759823589111976810485066954573337871697000691488377718281226700380986442207671668548617936109477498407367702320936791665416786093967149257617682995283918790694094728377776130624930605094117123636063389214516650567175790663652235559731018114498251266128609913751310552016640135046128581155938928800612082143176808493931391282460567354308189597631598610082649791550555655505928047489252459695903991390901400214146793338009742179468990143534182124325109828943578544502838034281159607188169473209141477989103018887568620238201449586581547734529740454565983124275753027281518896237684329818692456569736944095108261883549100737525466622031481968934289352089201507001678180122993449013442143283781409954018624701373099940727633938094704759213907946784516544375369753295073388531778026534342734838432522494225589045683069490009285506746125486971251248465296312241330782244152232459386013628188758869868400158735655486689959796771427290891719157166819321913198328693345721109520895785095266647186177101958864264820359781177115220727808215223047944910757736653341262529733609975293033534284562793279919423770004390756410864037123128257259636347224092645939790577909822864735136102629201354327079588351429337626111070393481955949151393367211384709628353435322636262108991764048561480208629056414677703572022928722235643490673508502875958706237022972252375882142942825665363261597356897338003162686378397088455275110795864736478769935944924534359059471144215522143927681923940488425141812026576569597756374361109647591979933561650227001855647980747833756670901027660369949442485087301245358379821095566595925225640986826529463533923417723619834223590893153120904748221033216411296897681452118852438135073165291455111389811863959798400580881279464217247839574650573570014536077505094130125450651206382532060272730314264899048822987440345047248205698977776733283268255192576004421965442055707524364287326966454786362826843675907077419294179497328241296106474803549583379081012404398882273437075333406881826637759725888104557265995850449190172657512373045165194006047340793938143169095679617156215883058470284699296952455920086137210729661089845301802596}
30695 2358638550557473760530532327974850801931029613412459996145824476597352340520342366032602: {245512,276201,1994005,2362129,2392806,2851473,2913745,3374470,3496494,3649849,3953721,4049364,4385953,4445845,5214070,5335014,5605473,6012692,6256884,6283045,7201105,7422382,7539654,7757233,8118805,8589560,8641326,8861029,9036145,9663255,9742566,10307472,10843374,11164244,11503875,11595906,12270800,12740601,13804650,13819993,14724960,14837605,14928681,15109957,15146534,15706624,15839329,15876182,15948920,16213321,16565580,17276005,17669952,17805126,17857873,17942535,18204321,18447086,18893336,19138704,19745684,19878696,20016145,20383761,20438881,20731206,20928805,21255003,21353989,21531042,22363533,22680260,23056945,24019374,24474169,24703094,25114566,25303575,25632596,25765717,26352980,26397205,26990480,27104324,27216312,27610645,27668334,28020769,28208120,28885033,29429605,29478566,30035605,30338545,30364290,30618351,31560459,31623576,31676646,31734135,31852177,32388576,33132774,33849744,33926961,33970705,34252166,34465881,35178164,35315526,35396101,35576523,35989129,36042726,36097454,36406254,36437148,36691045,37571975,38080962,38227777,38232273,39306441,39843201,40011505,40029670,40318292,40764846,40774489,41805236,42047089,42688129,43075622,44026873,44029254,45086370,45456404,45503110,45868856,46218692,46660502,47335161,48013806,48035604,48092128,48245161,49886804,50051054,50254520,50941177,51602463,52500709,52945045,53574452,53674250,54103644,54254073,54333902,54603732,54611110,54745369,55587481,55642705,56059729,56536335,57597560,57965204,58037905,58249270,58872782,59901094,60067270,60131605,60305424,61168695,63417745,63534054,63716245,63773841,64065793,64409100,64595444,64732393,64765381,64797255,64937720,65208145,65246608,65318084,65533332,65879841,66657860,66771246,67102742,67335193,67537172,67843602,67891045,68614741,68703040,69117072,69645486,69899124,70570705,72080724,72157926,72163657,72355345,72700473,72773110,72819875,73054935,73402434,73544305,73698289,74269281,74862164,75709153,75920305,76101294,76459494,76513093,76621839,76677500,76810645,76879641,77082692,77290920,77329957,77614441,77619860,77725635,77756706,77925264,78207670,78216248,78249774,78590245,78919237,79422841,79493017,79989432,81469254,81885206,82392086,82443648,82907344,83920405,84684846,85989745,86017129,86333446,86826414,86876005,86952285,87327732,87376724,87383850,87665922,87993279,88253166,88352305,88778977,89237605,89565044,89850441,89988111,90122545,90417445,90882273,91104366,91216475,91608692,92013000,92074983,92172774,92230021,92749104,93069745,93143832,93209440,93270762,93458073,93839269,93849204,93975673,94308294,94486881,94824577,94836145,95446196,95861060,95870072,96590677,96601105,96805057,97055121,97950193,98147200,99245845,99296353,99617961,99762495,...,5352874145179980338514980755030517660310634730628595119472039699388038943884494966967698162930307446496523666228248843200511285258336779413705717495890022239758991443189154015867407323083932364151075455320413287884469277375218977735269809152323864839808039449225384590644120913662162855533272151816392199074950485200547304729149804758057759142186887835224821521049149750406361072416593904839183678766838024861124273164129802711402416179918504995644891666185506065893048535339008269868278546800642459044594154884477757088199973411730591473538153698122150631205463800007637016486667178530347922804327778600414499261535401754315557120395332723602723711232586807743860206372311031018956359254259898567769531965239530721712272142934708430398376386356966352965732675226465416086991449651316663019625751819642869209408067887803377554350224607546312104742324816649202083727364286806323595198192949345963717151852933368822028344608358372102834579406051349517239599321032778074878132437318427717663779871848532472883817617922558518069432153450418568735487517207629024657928397639982777062866967629667680582901289933136740513669450541081512160890904804010630279130311665802097154630238550774402989759584052990691162452508960905473768275412577109897819215433550739173903327647473999991530122227622493070744837430092038914843316938028097508350494905161947644683298743644839412359847696758513042934947819817378475276848866235350514609989497240273055969022191096602603177869859006790020840591239701227044629000220839077071208138143215841824646202997259221421594429144958433012017000093484821863809903543673986599762270969903841400794323037524058531403262772765230046158593813929507842594523622887683082406350368729216144493395004454018086085932226114970519848283812767804270915604622788299156324756692681403220079853866796301074384984228452524878885935061360129966668183148999398737984985838322643626551609504949999226843253859555440411514576444684494629741322770982726447284360815943158946268292739554962858560754396863693683889283903824423160201084521233088373469559070185946311796307475932503934113729391486611533175779657527231032176060588685212231512139478807343102386349615023000316577936509148060999972374504688090411981563106363782838095613155921529083797620373953911599805482519131720090994193786356396151677526659732989967250130766095519598744657497272813652504582079489074250181340098925578295456765023474539267619327530590555609322600968349618610518258076110968753814129576577475780127321545744948231713807261025219232435446257560992767880871437497973612085935820625533519048384383490937603713589526990713980610208939685742865978568088551320427470995697962041065185729641604318258741503283087119904727815358589457248535640275682952518849540822735139735383667965215727600431860006807545501037232566577421840050571479663311507502822926904164216247611051553481405187498125179140950723886426524492925878186041142092566664195937395907641175685454095083821774975850763685995478353339596527171747376899192914870626965828024960202569192871733908393200918123214765212740897086923690851031462284396447397915123974687325833483258892071233878689543855987086352100321220190007014613269203485215301273186487664743415367816754257051421739410782254209813712216983654528331352930357302174379872321601794610681848974686413629540922278344356526494728038684854605416142662392825323651106288199933047222953401434028133802260502517270184490173520163214925672114931027937052059649911091450907142057138820861920176774816563054629942610082797667039801514102257648783741338383568524604235013928260119188230456876872697944468361996173366228348689079020442283138304802600238103483230034939695157140936337578735750228982869797493040018581664281343677642899970779265652938296397230539671765672831091712322834571917366136604980011893794600414962939550301426844189919879135655006586134616296055684692385889454520836138968909685866864734297102704153943802031490619382527144006439166605590222933923727090050817077064442530152983954393163487646072842220312943584622016555358034393083353465236010262754313938059355534458378563823214414238498044892396035346007004744029567595632682912666193797104718154903917386801538589206716323283215891522885910732637712718039864854396634561541664471387969900342475340502783471971121750635006351541490554924163727630951868037569731643349893887838461480239794195300885126585429751335386339729681357122331549824616945346522178178278657202609747937182667084717795939697600871321919196325871759361975860355021804116257641195188175976809573798090409095471397348573234481160517570872308548466665099924902382788864006632948163083561286546430990449682179544240265513860616128941269245992361944159712205324375068621518606598323410155613000110322739956639588832156835898993775673785258986268559567747791009071011190907214753643519425734323824587705427048945428683880129205816094491634767952703894}
30696 2365882780006505033272294486431959493825778200626980904180910815637810759835337880510750: {214823,306890,368268,582863,1043018,1410866,1440503,1624079,1807583,3151079,3190408,3589209,3801964,4186583,4247423,4661992,4794623,5061705,5098343,5244741,5271628,5399152,5462543,6068903,6074046,6179786,6916463,6976943,7113352,7473964,7515865,7821105,8002521,8184863,8342512,8372618,8908079,9019038,9329423,9385326,10052872,10591103,10736950,11133573,11309481,11310479,11521768,11609879,11789423,12015818,12884340,12961989,12990088,13402079,13743296,13832018,13955305,14457832,14613849,15068303,15338500,15365183,15461208,16006706,16265061,16531669,16746366,16787423,16964879,16987468,17378663,17393859,17673983,17851079,18028103,18264023,18406200,19633280,19904908,19936150,20498879,20706975,21060818,21420746,22087440,22719801,23013863,23559936,23616670,23740168,23814273,23923380,24272428,24294986,24585479,24682105,24759743,24848370,25518272,25629983,25745879,26151263,26504928,26707689,27018623,27178348,27641608,27670629,27884183,28340004,28350325,28708056,29618526,29659346,29818044,30068879,30641879,31096809,31499879,32025832,32040745,32296563,32470103,32811983,32941225,33210479,33381143,33486088,33572618,33738100,33880405,34020390,35260150,35762879,36029061,36045479,36288416,36891112,37054641,37061183,37671849,38130503,38411423,38448894,38880818,39529470,40135249,40485720,40656486,40824468,40986503,40995026,41265383,41502501,41766863,42080612,42164768,42235528,42312180,42490079,43184768,43433783,43489223,43972705,44177032,44217849,44430479,44983079,45132992,45148703,45235948,45424583,45546435,45645143,45954508,46257866,47075663,47087368,47435364,47514969,47569583,48056968,48229753,48281879,48446063,48541672,48582864,49051466,49400018,49699161,50397865,50573903,50774616,50976364,51140618,51378249,51660383,52256545,52408588,52767246,52973289,53124268,54064089,54146181,54147143,54353128,54416423,54609381,54655722,54900623,55995146,56670479,56686346,56820505,57090782,57121443,57205079,57336070,57365303,57722066,57773365,58067018,58112063,58431623,58705672,58804079,59229263,59760023,60025103,60044505,60115160,60477438,61030583,61147269,61165106,62138543,62358505,62707854,62770079,62818150,62881226,63113548,64018408,64047472,64448543,64613433,64971383,65128079,65545583,66043881,66535103,66968065,67314263,67625423,67629555,67884503,68184606,68254665,68350343,68439217,68689106,68803284,69328038,69640943,69898463,69990753,70389386,71996950,72020709,72053406,72138192,72338764,72456505,72543926,72804976,73278983,74830206,75006863,75076581,75381780,75468626,75563903,75917879,76321943,76817618,76826303,76927079,77531063,78184079,79844426,80085143,80180018,80284583,80361678,80407232,80511375,80533703,80683079,80744305,81031343,81155466,81172150,81500853,81558260,81619582,81647605,81905598,81916665,81925079,82024223,82172879,83063303,83322325,83655479,83886313,84295703,84421465,84712072,84863186,85031788,85032743,85878800,86396340,86861618,86947806,87184343,87194186,87233063,87373905,87377776,87671183,87839788,88205783,88309173,88399943,89028328,89417183,89851641,90100905,90382703,90458136,91104743,91504466,91824983,92156096,92860648,93111662,93116879,93198832,93577705,94165223,95162303,95301081,95588543,95846875,96107632,96210568,96353365,96613650,96721009,96776018,96893166,96933964,97024825,97381079,97406580,97770310,97869912,97977126,98085479,98299998,98413583,99025708,99986790,...,8029311217769970507772471132545776490465952095942892679208059549082058415826742450451547244395461169744785499342373264800766927887505169120558576243835033359638487164783731023801110984625898546226613182980619931826703916062828466602904713728485797259712059173838076885966181370493244283299908227724588298612425727800820957093724707137086638713280331752837232281573724625609541608624890857258775518150257037291686409746194704067103624269877757493467337499278259098839572803008512404802417820200963688566891232326716635632299960117595887210307230547183225946808195700011455524730000767795521884206491667900621748892303102631473335680592999085404085566848880211615790309558466546528434538881389847851654297947859296082568408214402062645597564579535449529448599012839698124130487174476974994529438627729464303814112101831705066331525336911319468157113487224973803125591046430209485392797289424018945575727779400053233042516912537558154251869109077024275859398981549167112317198655977641576495669807772798709325726426883837777104148230175627853103231275811443536986892596459974165594300451444501520874351934899705110770504175811622268241336357206015945418695467498703145731945357826161604484639376079486036743678763441358210652413118865664846728823150326108760854991471210999987295183341433739606117256145138058372264975407042146262525742357742921467024948115467259118539771545137769564402421729726067712915273299353025771914984245860409583953533286644903904766804788510185031260886859551840566943500331258615606812207214823762736969304495888832132391643717437649518025500140227232795714855315510979899643406454855762101191484556286087797104894159147845069237890720894261763891785434331524623609525553093824216740092506681027129128898339172455779772425719151706406373406934182448734487135039022104830119780800194451611577476342678787318328902592040194950002274723499098106977478757483965439827414257424998840264880789333160617271864667026741944611984156474089670926541223914738419402439109332444287841131595295540525833925855736634740301626781849632560204338605278919467694461213898755901170594087229917299763669486290846548264090883027818347268209218211014653579524422534500474866904763722091499958561757032135617972344659545674257143419733882293625696430560930867399708223778697580136491290679534594227516289989599484950875196149143279398116986245909220478756873119233611375272010148388367443185147535211808901428991295885833413983901452524427915777387114166453130721194364866213670190982318617422347570710891537828848653169386341489151821307156246960418128903730938300278572576575236406405570384290486070970915313409528614298967852132826980641206493546943061597778594462406477388112254924630679857091723037884185872803460413524428778274311234102709603075501947823591400647790010211318251555848849866132760075857219494967261254234390356246324371416577330222107781247187768711426085829639786739388817279061713138849996293906093861461763528181142625732662463776145528993217530009394790757621065348789372305940448742037440303853789307600862589801377184822147819111345630385536276547193426594671096872685962030988750224888338106850818034315783980629528150481830285010521919903805227822951909779731497115123051725131385577132609116173381314720568325475481792497029395535953261569808482402691916022773462029620444311383417516534789742092058027281908124213993589237985476659432299899570834430102151042200703390753775905276735260280244822388508172396541905578089474866637176360713085708231292880265162224844581944913915124196500559702271153386473175612007575352786906352520892390178782345685315309046916702542994260049342523033618530663424707457203900357155224845052409542735711404506368103625343474304696239560027872496422015516464349956168898479407444595845809507648509246637568484251857876049204907470017840691900622444409325452140266284879818703482509879201924444083527038578834181781254208453364528800297101445654056230915703047235929073790716009658749908385334400885590635076225615596663795229475931589745231469109263330469415376933024833037051589625030197854015394131470907089033301687567845734821621357747067338594053019010507116044351393449024368999290695657077232355876080202307883810074484924823837284328866098956569077059797281594951842312496707081954850513713010754175207956682625952509527312235832386245591446427802056354597465024840831757692220359691292951327689878144627003079509594522035683497324736925418019783267267417985803914621905774000627076693909546401306982878794488807639042963790532532706174386461792782263965214360697135613643207096022859851721740776356308462822699997649887353574183296009949422244625341929819646485674523269316360398270790924193411903868988542916239568307986562602932277909897485115233419500165484109934959383248235253848490663510677888479402839351621686513606516786360822130465279138601485736881558140573418143025820193808724141737452151929055841}
30697 2373149130794356768898671728859946562942407056057337433998881747236501298104603127423793: {30697,460335,491024,552402,1564527,2116299,2791607,3988010,4079243,4724258,4752455,4785612,5183399,5702946,5827490,6224183,6589535,6748940,6992988,7299698,7907442,8098728,8771906,8796263,8891690,9111069,9167639,9269679,9342455,9903503,10081547,10428140,10670028,11210946,11366327,12025384,12474143,12513768,12558927,12566090,12650603,13528557,14077989,14402210,14494139,14844764,15079308,15514466,16105425,16152023,16237610,16332719,16887599,17179120,17282652,17722058,18023727,18072290,18719207,19173125,19274447,19326510,19485132,20614944,20748027,20772647,21104759,21234335,21686748,21848459,22328488,22395647,23007750,23191812,23866223,24010059,24186407,24541600,24881135,25119549,25481202,26072087,27353483,27542663,27609300,27639986,28022603,29300327,29449920,29675210,29857362,29904225,30219914,30293068,30294059,30340535,31413248,31591227,31678658,31752364,31897840,32131119,32279723,32426642,32867063,33131160,33972935,34552010,35339904,35425005,35610252,35715746,35885070,36408642,36442479,36661823,36894172,36956087,37272555,37786672,38277408,38654903,39491368,39757392,40032290,40767522,40877762,41201447,41462412,41857610,42049847,42172625,42473963,42510006,42532607,42690923,42707978,43062084,44427789,44489019,44727066,45360520,46113890,47558987,48038748,48948338,49406188,50229132,50358927,50449607,50607150,51030585,51265192,51367463,51531434,52031759,52600765,52705960,52723583,52794410,52890225,53540327,53980960,54208648,54432624,55221290,55336668,56016107,56041538,56416240,56544935,57443135,57673341,57770066,58321227,58677263,58859210,58957132,59294205,60071210,60677090,60728580,60984729,61236702,61492539,63120918,63247152,63353292,63468270,63704354,63720455,64736639,64777152,65510735,65963927,66252407,66265548,66405335,67699488,67853922,67941410,68217287,68504332,68931762,69231959,69386799,70356328,70631052,70792202,71153046,71978258,72085452,72194908,72812508,72874296,73382090,73577199,74100027,74123063,75143950,75714119,75840047,76161924,76455554,76464546,76501919,76710927,77899787,78367943,78612882,78891935,79150869,79686402,80023010,80059340,80245439,80636584,80653499,81253067,81529692,81548978,81983583,83610472,83992719,84094178,84184247,84361943,84562607,85029519,85376258,85636173,86004105,86151244,86427599,86583099,87100527,88053746,88058508,88784843,89202743,90172740,90423455,90716157,90912808,91006220,91291403,91737712,91747659,92437384,93321004,93901967,94061781,94227225,94321839,94644539,94670322,95047463,96027612,96071208,96184256,96490322,96596999,98798987,99038903,99773608,...,10705748290359960677029961510061035320621269461257190238944079398776077887768989933935396325860614892993047332456497686401022570516673558827411434991780044479517982886378308031734814646167864728302150910640826575768938554750437955470539618304647729679616078898450769181288241827324325711066544303632784398149900970401094609458299609516115518284373775670449643042098299500812722144833187809678367357533676049722248546328259605422804832359837009991289783332371012131786097070678016539736557093601284918089188309768955514176399946823461182947076307396244301262410927600015274032973334357060695845608655557200828998523070803508631114240790665447205447422465173615487720412744622062037912718508519797135539063930479061443424544285869416860796752772713932705931465350452930832173982899302633326039251503639285738418816135775606755108700449215092624209484649633298404167454728573612647190396385898691927434303705866737644056689216716744205669158812102699034479198642065556149756264874636855435327559743697064945767635235845117036138864306900837137470975034415258049315856795279965554125733935259335361165802579866273481027338901082163024321781809608021260558260623331604194309260477101548805979519168105981382324905017921810947536550825154219795638430867101478347806655294947999983060244455244986141489674860184077829686633876056195016700989810323895289366597487289678824719695393517026085869895639634756950553697732470701029219978994480546111938044382193205206355739718013580041681182479402454089258000441678154142416276286431683649292405994518442843188858289916866024034000186969643727619807087347973199524541939807682801588646075048117062806525545530460092317187627859015685189047245775366164812700737458432288986790008908036172171864452229941039696567625535608541831209245576598312649513385362806440159707733592602148769968456905049757771870122720259933336366297998797475969971676645287253103219009899998453686507719110880823029152889368989259482645541965452894568721631886317892536585479109925717121508793727387367778567807648846320402169042466176746939118140371892623592614951865007868227458782973223066351559315054462064352121177370424463024278957614686204772699230046000633155873018296121999944749009376180823963126212727565676191226311843058167595240747907823199610965038263440181988387572712792303355053319465979934500261532191039197489314994545627305009164158978148500362680197851156590913530046949078535238655061181111218645201936699237221036516152221937507628259153154951560254643091489896463427614522050438464870892515121985535761742874995947224171871641251067038096768766981875207427179053981427961220417879371485731957136177102640854941991395924082130371459283208636517483006566174239809455630717178914497071280551365905037699081645470279470767335930431455200863720013615091002074465133154843680101142959326623015005645853808328432495222103106962810374996250358281901447772853048985851756372082284185133328391874791815282351370908190167643549951701527371990956706679193054343494753798385829741253931656049920405138385743467816786401836246429530425481794173847381702062924568792894795830247949374651666966517784142467757379087711974172704200642440380014029226538406970430602546372975329486830735633508514102843478821564508419627424433967309056662705860714604348759744643203589221363697949372827259081844556688713052989456077369709210832285324785650647302212576399866094445906802868056267604521005034540368980347040326429851344229862055874104119299822182901814284114277641723840353549633126109259885220165595334079603028204515297567482676767137049208470027856520238376460913753745395888936723992346732456697378158040884566276609605200476206966460069879390314281872675157471500457965739594986080037163328562687355285799941558531305876592794461079343531345662183424645669143834732273209960023787589200829925879100602853688379839758271310013172269232592111369384771778909041672277937819371733729468594205408307887604062981238765054288012878333211180445867847454180101634154128885060305967908786326975292145684440625887169244033110716068786166706930472020525508627876118711068916757127646428828476996089784792070692014009488059135191265365825332387594209436309807834773603077178413432646566431783045771821465275425436079729708793269123083328942775939800684950681005566943942243501270012703082981109848327455261903736075139463286699787775676922960479588390601770253170859502670772679459362714244663099649233890693044356356557314405219495874365334169435591879395201742643838392651743518723951720710043608232515282390376351953619147596180818190942794697146468962321035141744617096933330199849804765577728013265896326167122573092861980899364359088480531027721232257882538491984723888319424410648750137243037213196646820311226000220645479913279177664313671797987551347570517972537119135495582018142022381814429507287038851468647649175410854097890857367760258411632188983269535905407788}
30698 2380437670082007810329241283697009056748259054142288562878287468193604271366794499921547: {429646,613780,736536,828603,1134457,1165726,1868857,2052277,2086036,2821732,2881006,3248158,3615166,4247701,5523577,5982015,6302158,6380816,6977401,7086387,7178418,7603928,8245717,8373166,8436175,8494846,8554419,8741235,9323984,9330037,9589246,10051477,10123410,10196686,10489482,10522211,10543256,10798304,10925086,10949547,11490901,11861163,12137806,12148092,12359572,13035175,13157859,13283701,13337535,13820137,13832926,13953886,14226704,14712757,14947928,15031730,15642210,16005042,16369726,16685024,16745236,16816419,17816158,18038076,18088297,18265237,18555955,18658846,18770652,18849135,19537427,20105744,21182206,21262201,21473900,21603315,22139701,22267146,22490197,22618962,22620958,23043536,23219758,23271699,23578846,24031636,24356415,25768680,25923978,25980176,26583087,26804158,27108435,27486592,27664036,27886057,27910610,28915664,28989765,29227698,30136606,30677000,30730366,30922416,31673401,32013412,32187157,32530122,33041977,33063338,33383401,33492732,33574846,33929758,33974936,34511625,34554947,34576117,34757326,34787718,35347966,35702158,36056206,36528046,36812400,37866335,38133097,38221803,39266560,39690455,39809816,39872300,40997758,41413950,41459979,41825401,42121636,42326197,42841492,43492201,44174880,44512815,44654677,44786043,44857043,45329871,45439602,45648277,46027726,46117715,46474297,47119872,47133817,47233340,47432567,47480336,47517987,47628546,47846760,48544856,48589972,48639963,49170958,49364210,49519486,49696740,51036544,51259966,51392617,51491758,51718201,51828015,52302526,52855477,53009856,53415378,53573619,53665657,53827605,54037246,54356696,54612963,55283216,55341258,55768366,56680008,56700650,56998799,57048757,57416112,57689557,58169401,59237052,59318692,59636088,60048435,60137758,61151283,61283758,61316643,61561787,61668457,61757735,62193618,62786415,62999758,63247417,63765009,64034197,64051664,64061967,64081490,64505401,64593126,64940206,64975957,65602357,65623966,65882450,66420958,66539797,66762286,66972176,67090599,67145236,67476200,67630201,67760810,68040780,69170835,70520300,70557011,71525758,72058122,72090958,72576832,73159163,73422507,73487977,73696415,73782224,74109282,74122366,74250997,74860117,75343698,75910725,76261006,76377877,76822846,76897788,77297151,77761636,78039097,79058940,79191615,79391797,79548707,80270498,80882711,80971440,81312972,81648936,81973006,81990052,82530766,82831935,83005002,83118697,83533726,84062307,84161224,84329536,84471056,84624360,84744277,84980158,85630415,86369536,86655099,86867566,86978446,87239401,87301907,87945410,88288815,88354064,88406377,88435698,88860958,89713717,89966158,90106815,90243635,90265984,90297406,90437497,90471896,90849166,91015635,91092870,91159477,91290286,91855053,91879657,91909016,92515732,93755291,94151326,94172137,94174736,94681377,94870728,95029938,95139166,95202405,95556531,96113936,96459506,96563758,96870517,96892126,97083344,97165728,97717237,98102932,98280277,98420857,98800036,99398322,...,16058622435539941015544942265091552980931904191885785358416119098164116831653484900903094488790922339489570998684746529601533855775010338241117152487670066719276974329567462047602221969251797092453226365961239863653407832125656933205809427456971594519424118347676153771932362740986488566599816455449176597224851455601641914187449414274173277426560663505674464563147449251219083217249781714517551036300514074583372819492389408134207248539755514986934674998556518197679145606017024809604835640401927377133782464653433271264599920235191774420614461094366451893616391400022911049460001535591043768412983335801243497784606205262946671361185998170808171133697760423231580619116933093056869077762779695703308595895718592165136816428804125291195129159070899058897198025679396248260974348953949989058877255458928607628224203663410132663050673822638936314226974449947606251182092860418970785594578848037891151455558800106466085033825075116308503738218154048551718797963098334224634397311955283152991339615545597418651452853767675554208296460351255706206462551622887073973785192919948331188600902889003041748703869799410221541008351623244536482672714412031890837390934997406291463890715652323208969278752158972073487357526882716421304826237731329693457646300652217521709982942421999974590366682867479212234512290276116744529950814084292525051484715485842934049896230934518237079543090275539128804843459452135425830546598706051543829968491720819167907066573289807809533609577020370062521773719103681133887000662517231213624414429647525473938608991777664264783287434875299036051000280454465591429710631021959799286812909711524202382969112572175594209788318295690138475781441788523527783570868663049247219051106187648433480185013362054258257796678344911559544851438303412812746813868364897468974270078044209660239561600388903223154952685357574636657805184080389900004549446998196213954957514967930879654828514849997680529761578666321234543729334053483889223968312948179341853082447829476838804878218664888575682263190591081051667851711473269480603253563699265120408677210557838935388922427797511802341188174459834599527338972581693096528181766055636694536418436422029307159048845069000949733809527444182999917123514064271235944689319091348514286839467764587251392861121861734799416447557395160272982581359069188455032579979198969901750392298286558796233972491818440957513746238467222750544020296776734886370295070423617802857982591771666827967802905048855831554774228332906261442388729732427340381964637234844695141421783075657697306338772682978303642614312493920836257807461876600557145153150472812811140768580972141941830626819057228597935704265653961282412987093886123195557188924812954776224509849261359714183446075768371745606920827048857556548622468205419206151003895647182801295580020422636503111697699732265520151714438989934522508468780712492648742833154660444215562494375537422852171659279573478777634558123426277699992587812187722923527056362285251465324927552291057986435060018789581515242130697578744611880897484074880607707578615201725179602754369644295638222691260771072553094386853189342193745371924061977500449776676213701636068631567961259056300963660570021043839807610455645903819559462994230246103450262771154265218232346762629441136650950963584994058791071906523139616964805383832045546924059240888622766835033069579484184116054563816248427987178475970953318864599799141668860204302084401406781507551810553470520560489644777016344793083811156178949733274352721426171416462585760530324449689163889827830248393001119404542306772946351224015150705573812705041784780357564691370630618093833405085988520098685046067237061326849414914407800714310449690104819085471422809012736207250686948609392479120055744992844031032928699912337796958814889191691619015297018493275136968503715752098409814940035681383801244888818650904280532569759637406965019758403848888167054077157668363562508416906729057600594202891308112461831406094471858147581432019317499816770668801771181270152451231193327590458951863179490462938218526660938830753866049666074103179250060395708030788262941814178066603375135691469643242715494134677188106038021014232088702786898048737998581391314154464711752160404615767620148969849647674568657732197913138154119594563189903684624993414163909701027426021508350415913365251905019054624471664772491182892855604112709194930049681663515384440719382585902655379756289254006159019189044071366994649473850836039566534534835971607829243811548001254153387819092802613965757588977615278085927581065065412348772923585564527930428721394271227286414192045719703443481552712616925645399995299774707148366592019898844489250683859639292971349046538632720796541581848386823807737977085832479136615973125205864555819794970230466839000330968219869918766496470507696981327021355776958805678703243373027213033572721644260930558277202971473763116281146836286051640387617448283474904303858111682}
30699 2387748465233161897926939088261240498010959831398710386988373673728194711172181492619380: {61394,644469,767225,920670,982048,1104804,1748589,2607545,3129054,3527165,3711917,4232598,4321509,4872237,5422749,5583214,5735477,6653437,7976020,8158486,9225349,9448516,9453237,9504910,9571224,10366798,10767627,11068621,11405892,11654980,12448366,12559749,12742269,13079437,13179070,13497880,13985976,14383869,14599396,14742169,15185115,15295029,15449465,15734223,15814884,16197456,16387629,17129437,17543812,17592526,17783380,18052261,18206709,18222138,18335278,18539358,18684910,19807006,20163094,20749389,20856280,20930829,20931545,21340056,21542029,22421892,22547595,22732654,23463315,24007563,24050768,24554589,24948286,25027536,25030429,25117854,25132180,25301206,26724237,26842375,27057114,27988269,28155978,28804420,28988278,29442157,29689528,29728069,30039545,30158616,31028932,31773309,32210850,32304046,32475220,32665438,33400719,33775198,33928443,33931437,34358240,34565304,34580045,34829637,34833589,35133757,35368269,35444116,36047454,36144580,37438414,38346250,38548894,38653020,38885967,38970264,40016765,40206237,41229888,41496054,41545294,41865915,42209518,42468670,42476749,43327609,43373496,43696918,43841547,44032637,44656976,44791294,45204909,46015500,46095549,46287209,46383624,47562109,47732446,48020118,48372814,48795183,49083200,49595007,49762270,49840375,50053421,50239098,50362269,50452909,50894637,50962404,52135989,52144174,52181577,52652045,53021949,53551865,53553237,54084309,54706966,54792069,55085326,55218600,55279972,56045206,58402037,58600654,58899840,59041675,59350420,59714724,59808450,59839189,60072221,60439828,60586136,60588118,60681070,60737465,61496637,62120925,62309689,62826496,63182454,63357316,63504728,63795680,64074197,64262238,64559446,64853284,65734126,66073997,66262320,67945870,68159403,69041589,69104020,70679808,70850010,71220504,71431492,71442819,71770140,72817284,72884958,73323646,73641071,73724389,73756437,73788344,73912174,74046315,74148365,74279229,74545110,75573344,76506937,76554816,76889949,77237637,77309806,78453789,78982736,79162909,79514784,80050421,80064580,80123067,80420389,81055869,81535044,81755524,82402894,82924824,83011887,83652549,83715220,83931545,84099694,84345250,84834389,84947926,85020012,85050975,85065214,85381846,85415956,85935737,86028437,86124168,87587701,88150375,88855578,88978038,89208637,89454132,89726969,90206637,90721040,91715029,91925637,92227780,92967469,93290427,94499637,94511149,95117974,96077496,96122235,96228389,96889689,97202045,97410309,97896676,98435949,98812376,98823675,99004277,99631437,...,24087933653309911523317413397637329471397856287828678037624178647246175247480227351354641733186383509234356498027119794402300783662515507361675728731505100078915461494351193071403332953877695638679839548941859795480111748188485399808714141185457391779136177521514230657898544111479732849899724683173764895837277183402462871281174121411259916139840995258511696844721173876828624825874672571776326554450771111875059229238584112201310872809633272480402012497834777296518718409025537214407253460602891065700673696980149906896899880352787661630921691641549677840424587100034366574190002303386565652619475003701865246676909307894420007041778997256212256700546640634847370928675399639585303616644169543554962893843577888247705224643206187936792693738606348588345797038519094372391461523430924983588315883188392911442336305495115198994576010733958404471340461674921409376773139290628456178391868272056836727183338200159699127550737612674462755607327231072827578196944647501336951595967932924729487009423318396127977179280651513331312444690526883559309693827434330610960677789379922496782901354333504562623055804699115332311512527434866804724009071618047836256086402496109437195836073478484813453918128238458110231036290324074631957239356596994540186469450978326282564974413632999961885550024301218818351768435414175116794926221126438787577227073228764401074844346401777355619314635413308693207265189178203138745819898059077315744952737581228751860599859934711714300414365530555093782660578655521700830500993775846820436621644471288210907913487666496397174931152312948554076500420681698387144565946532939698930219364567286303574453668858263391314682477443535207713672162682785291675356302994573870828576659281472650220277520043081387386695017517367339317277157455119219120220802547346203461405117066314490359342400583354834732429028036361954986707776120584850006824170497294320932436272451896319482242772274996520794642367999481851815594001080225833835952469422269012779623671744215258207317327997332863523394785886621577501777567209904220904880345548897680613015815836758403083383641696267703511782261689751899291008458872539644792272649083455041804627654633043960738573267603501424600714291166274499875685271096406853917033978637022771430259201646880877089291682792602199124671336092740409473872038603782682548869968798454852625588447429838194350958737727661436270619357700834125816030445165102329555442605635426704286973887657500241951704357573283747332161342499359392163583094598641010572946955852267042712132674613486545959508159024467455463921468740881254386711192814900835717729725709219216711152871458212912745940228585842896903556398480941923619480640829184793335783387219432164336764773892039571275169113652557618410381240573286334822933702308128809226505843470774201943370030633954754667546549598398280227571658484901783762703171068738973114249731990666323343741563306134278257488919360218166451837185139416549988881718281584385290584543427877197987391328436586979652590028184372272863196046368116917821346226112320911561367922802587769404131554466443457334036891156608829641580279784013290618057886092966250674665014320552454102947351941888584451445490855031565759711415683468855729339194491345369155175394156731397827348520143944161704976426445377491088186607859784709425447208075748068320386088861332934150252549604369226276174081845724372641980767713956429978296899698712503290306453126602110172261327715830205780840734467165524517189625716734268424599911529082139257124693878640795486674533745834741745372589501679106813460159419526836022726058360719057562677170536347037055945927140750107628982780148027569100855591990274122371611701071465674535157228628207134213519104310876030422914088718680083617489266046549393049868506695438222333787537428522945527739912705452755573628147614722410053522075701867333227976356420798854639456110447529637605773332250581115736502545343762625360093586400891304336962168692747109141707787221372148028976249725156003202656771905228676846789991385688427794769235694407327789991408246130799074499111154768875090593562046182394412721267099905062703537204464864073241202015782159057031521348133054180347073106997872086971231697067628240606923651430223454774471511852986598296869707231179391844784855526937490121245864551541139032262525623870047877857528581936707497158736774339283406169063792395074522495273076661079073878853983069634433881009238528783566107050491974210776254059349801802253957411743865717322001881230081728639203920948636383466422917128891371597598118523159385378346791895643082091406840929621288068579555165222329068925388468099992949662060722549888029848266733876025789458939457023569807949081194812372772580235711606965628748718704923959687808796833729692455345700258500496452329804878149744705761545471990532033665438208518054865059540819550359082466391395837415804457210644674421720254429077460581426172425212356455787167523}
30700 2395081583814856056262996208699062606921939601251274946867731519730221143814560422933662: {92091,337579,705571,859292,889459,1227560,1381005,1473072,1657206,2268914,2331452,3273451,3737714,4104554,4172072,4693581,5643464,5762012,5827219,6348897,6496316,7098811,7230332,7642699,8185939,8374821,8495402,9450979,9970025,10712491,10892419,11047154,11810645,11964030,12237729,12604316,12761632,13045939,13954802,14172774,14257365,14356836,14568725,15189091,15207856,15550197,16491434,16746332,16872350,16967131,16989692,17108838,17482470,17676331,18249245,18647968,18660074,18672549,19178492,19267819,19620691,19768605,20102954,20246820,20393372,20978964,21044422,21086512,21596608,21850172,21899094,21929765,22229225,22981802,23133571,23722326,24275612,24296184,24530659,24704971,24719144,25749331,25978337,26070350,26270539,26315718,26388789,26567402,26675070,27137779,27333207,27502917,27640274,27665852,27809037,27907772,28003219,28027365,28176091,28453408,29039371,29211811,29425514,29710509,29895856,30063460,30244641,30588739,31284420,31415225,32010084,32739452,33370048,33490472,33632838,34098981,34351531,35632316,35880811,36005525,36076152,36176594,36530474,37111910,37317692,37422429,37541304,37573171,37676781,37698270,37910779,37951809,38248099,38786165,39074854,39930379,40098211,40211488,40265971,40585671,40594025,42233967,42364412,42524402,42947800,43206630,43482417,43606051,43772299,44279402,44305145,44534292,44980394,45180725,45237924,45241916,45265291,45761659,46087072,46439516,46543398,47157692,47576131,48063272,48316275,48398011,48456069,48712830,48998157,49872859,50662797,51537360,51847956,51960352,53012869,53166174,53608316,54071181,54216870,54908251,54973184,55328072,55566637,55772114,55821220,56035699,56157621,57319891,57480091,57519375,57823341,57831328,57979530,58439779,58455396,59237539,59556139,60273212,60827659,61144819,61354000,61460732,61461691,61844832,62244081,62317941,62884051,63069677,63314277,63346802,63671731,63703005,64026824,64374314,64457611,64564801,65060244,65241691,65545377,66083954,66126676,66648499,66766802,66985464,67149692,67186941,67362217,67427539,67738651,67859516,67949872,68204779,68360011,68515171,69023250,69099965,69109894,69152234,69514652,69575436,70695932,71404316,71598669,71756899,72030177,72112412,72559221,72830419,73056092,73624800,74188025,74643405,75358647,75549785,75574699,75732670,76266194,76443606,76938091,78216261,78533120,79196645,79380910,79619632,79744600,80545291,80844019,81066605,81291571,81995516,82036051,82060449,82184731,82627989,82827900,82919958,83075299,83371579,83650802,84067809,84243272,84652394,85143211,85290379,85682984,86025139,86380025,86460829,86984402,87781219,87900981,88349760,88509859,89025630,89236699,89289365,89309354,89572086,89712675,89714086,90659742,90879204,90882177,91021605,91296554,92055452,92126059,92235430,92948594,94239744,94267634,94274179,94466680,94773681,94865134,94960672,95035974,95257092,95693520,96393357,96547651,96839169,97089712,97179944,97279926,97395451,98099971,98341916,98601189,98728420,99038972,99393480,...,32117244871079882031089884530183105961863808383771570716832238196328233663306969801806188977581844678979141997369493059203067711550020676482234304975340133438553948659134924095204443938503594184906452731922479727306815664251313866411618854913943189038848236695352307543864725481972977133199632910898353194449702911203283828374898828548346554853121327011348929126294898502438166434499563429035102072601028149166745638984778816268414497079511029973869349997113036395358291212034049619209671280803854754267564929306866542529199840470383548841228922188732903787232782800045822098920003071182087536825966671602486995569212410525893342722371996341616342267395520846463161238233866186113738155525559391406617191791437184330273632857608250582390258318141798117794396051358792496521948697907899978117754510917857215256448407326820265326101347645277872628453948899895212502364185720837941571189157696075782302911117600212932170067650150232617007476436308097103437595926196668449268794623910566305982679231091194837302905707535351108416592920702511412412925103245774147947570385839896662377201805778006083497407739598820443082016703246489072965345428824063781674781869994812582927781431304646417938557504317944146974715053765432842609652475462659386915292601304435043419965884843999949180733365734958424469024580552233489059901628168585050102969430971685868099792461869036474159086180551078257609686918904270851661093197412103087659936983441638335814133146579615619067219154040740125043547438207362267774001325034462427248828859295050947877217983555328529566574869750598072102000560908931182859421262043919598573625819423048404765938225144351188419576636591380276951562883577047055567141737326098494438102212375296866960370026724108516515593356689823119089702876606825625493627736729794937948540156088419320479123200777806446309905370715149273315610368160779800009098893996392427909915029935861759309657029699995361059523157332642469087458668106967778447936625896358683706164895658953677609756437329777151364526381182162103335703422946538961206507127398530240817354421115677870777844855595023604682376348919669199054677945163386193056363532111273389072836872844058614318097690138001899467619054888365999834247028128542471889378638182697028573678935529174502785722243723469598832895114790320545965162718138376910065159958397939803500784596573117592467944983636881915027492476934445501088040593553469772740590140847235605715965183543333655935605810097711663109548456665812522884777459464854680763929274469689390282843566151315394612677545365956607285228624987841672515614923753201114290306300945625622281537161944283883661253638114457195871408531307922564825974187772246391114377849625909552449019698522719428366892151536743491213841654097715113097244936410838412302007791294365602591160040845273006223395399464531040303428877979869045016937561424985297485666309320888431124988751074845704343318559146957555269116246852555399985175624375445847054112724570502930649855104582115972870120037579163030484261395157489223761794968149761215415157230403450359205508739288591276445382521542145106188773706378684387490743848123955000899553352427403272137263135922518112601927321140042087679615220911291807639118925988460492206900525542308530436464693525258882273301901927169988117582143813046279233929610767664091093848118481777245533670066139158968368232109127632496855974356951941906637729199598283337720408604168802813563015103621106941041120979289554032689586167622312357899466548705442852342832925171521060648899378327779655660496786002238809084613545892702448030301411147625410083569560715129382741261236187666810171977040197370092134474122653698829828815601428620899380209638170942845618025472414501373897218784958240111489985688062065857399824675593917629778383383238030594036986550273937007431504196819629880071362767602489777637301808561065139519274813930039516807697776334108154315336727125016833813458115201188405782616224923662812188943716295162864038634999633541337603542362540304902462386655180917903726358980925876437053321877661507732099332148206358500120791416061576525883628356133206750271382939286485430988269354376212076042028464177405573796097475997162782628308929423504320809231535240297939699295349137315464395826276308239189126379807369249986828327819402054852043016700831826730503810038109248943329544982365785711208225418389860099363327030768881438765171805310759512578508012318038378088142733989298947701672079133069069671943215658487623096002508306775638185605227931515177955230556171855162130130824697545847171129055860857442788542454572828384091439406886963105425233851290799990599549414296733184039797688978501367719278585942698093077265441593083163696773647615475954171664958273231946250411729111639589940460933678000661936439739837532992941015393962654042711553917611357406486746054426067145443288521861116554405942947526232562293672572103280775234896566949808607716223364}
30701 2402437093598070796118418290588195722618069752435429440869575783223211270680269105392316: {122788,1074115,1288938,1534450,1841340,1964096,2209608,2485809,2914315,3403371,3497178,3650563,4386811,4938031,5215090,5606571,6156831,6258108,6410239,6778291,7054330,7202515,7423834,8120395,8465196,8643018,9037915,9744474,9780859,10845498,11166428,11470954,11988451,12743103,13306874,13822699,15755395,15842431,15952040,16316972,16570731,17861371,17946045,18450698,18897032,18906474,19009820,19142448,19879519,20442883,20733596,20932203,20932915,21237115,21259161,21358171,21535254,21629251,22137242,22811784,23309960,23973115,24478963,24737151,24896732,25119498,25308525,25484538,25491715,25663257,25770763,26158874,26223705,26358140,26995760,27312715,27598531,27971952,27990111,28767738,28890691,29198792,29304163,29484338,30154431,30344515,30370230,30590058,30898930,31468446,31566633,31629768,32394912,32642731,32775258,32848641,33112111,34258874,34472703,34582315,34884715,35087624,35185052,35566760,35583489,36104522,36413418,36420259,36444276,36670556,37078716,37369820,37579325,38007211,39105525,39473577,39614012,39851103,40012605,40326188,40924315,41460411,41498778,41712560,41861658,41863090,42055363,42680112,43084058,44035519,44138271,44540395,44843784,45095190,45465308,46043371,46647115,46926630,48015126,48101536,48412063,49109178,49896572,50055072,50060858,50235708,50264360,50449257,50602412,50725279,51732763,52038571,52955515,53448474,53684750,54114228,54264891,54795711,55619563,55667865,55976538,56023471,56311956,56547405,56552395,57608840,57976556,58049395,58073851,58612281,58884314,58947115,59154043,59379056,59456138,60079090,60317232,60743419,62057864,63546618,63786603,64421700,64608092,64745131,64809945,64950440,65330876,65972563,66078331,66419103,66744799,66801438,67010395,67470591,67550396,67856886,67862874,68041531,68716480,69130608,69160090,69659274,69667178,69776525,69815097,70088563,70267514,70736538,70888232,70994443,71030371,72094908,72289160,73069245,73712863,74735551,74876828,74972611,75341515,75724051,76692500,76825915,77097788,77306040,77771934,77940528,78087451,79749261,80033530,80367811,80412474,80720299,81325305,82459776,82658345,82992108,83090588,83658171,83731830,83937115,84038971,84419036,84824395,84937340,84953498,85032451,86637763,86655218,86746992,86893315,86969295,87393836,87683094,87710131,88025311,88065274,88369915,89255395,89313952,89582588,90140515,90409818,91320115,92031000,92191098,92574418,92767248,94605043,95020203,95124218,95464892,96040236,96561471,96745628,97590366,97633183,98166400,99010771,99125931,99190014,99524540,99680750,...,48175867306619823046634826795274658942795712575657356075248357294492350494960454702709283466372767018468712996054239588804601567325031014723351457463010200157830922988702386142806665907755391277359679097883719590960223496376970799617428282370914783558272355043028461315797088222959465699799449366347529791674554366804925742562348242822519832279681990517023393689442347753657249651749345143552653108901542223750118458477168224402621745619266544960804024995669554593037436818051074428814506921205782131401347393960299813793799760705575323261843383283099355680849174200068733148380004606773131305238950007403730493353818615788840014083557994512424513401093281269694741857350799279170607233288339087109925787687155776495410449286412375873585387477212697176691594077038188744782923046861849967176631766376785822884672610990230397989152021467916808942680923349842818753546278581256912356783736544113673454366676400319398255101475225348925511214654462145655156393889295002673903191935865849458974018846636792255954358561303026662624889381053767118619387654868661221921355578759844993565802708667009125246111609398230664623025054869733609448018143236095672512172804992218874391672146956969626907836256476916220462072580648149263914478713193989080372938901956652565129948827265999923771100048602437636703536870828350233589852442252877575154454146457528802149688692803554711238629270826617386414530378356406277491639796118154631489905475162457503721199719869423428600828731061110187565321157311043401661001987551693640873243288942576421815826975332992794349862304625897108153000841363396774289131893065879397860438729134572607148907337716526782629364954887070415427344325365570583350712605989147741657153318562945300440555040086162774773390035034734678634554314910238438240441605094692406922810234132628980718684801166709669464858056072723909973415552241169700013648340994588641864872544903792638964485544549993041589284735998963703631188002160451667671904938844538025559247343488430516414634655994665727046789571773243155003555134419808441809760691097795361226031631673516806166767283392535407023564523379503798582016917745079289584545298166910083609255309266087921477146535207002849201428582332548999751370542192813707834067957274045542860518403293761754178583365585204398249342672185480818947744077207565365097739937596909705251176894859676388701917475455322872541238715401668251632060890330204659110885211270853408573947775315000483903408715146567494664322684998718784327166189197282021145893911704534085424265349226973091919016318048934910927842937481762508773422385629801671435459451418438433422305742916425825491880457171685793807112796961883847238961281658369586671566774438864328673529547784079142550338227305115236820762481146572669645867404616257618453011686941548403886740061267909509335093099196796560455143316969803567525406342137477946228499463981332646687483126612268556514977838720436332903674370278833099977763436563168770581169086855754395974782656873173959305180056368744545726392092736233835642692452224641823122735845605175538808263108932886914668073782313217659283160559568026581236115772185932501349330028641104908205894703883777168902890981710063131519422831366937711458678388982690738310350788313462795654697040287888323409952852890754982176373215719569418850894416151496136640772177722665868300505099208738452552348163691448745283961535427912859956593799397425006580612906253204220344522655431660411561681468934331049034379251433468536849199823058164278514249387757281590973349067491669483490745179003358213626920318839053672045452116721438115125354341072694074111891854281500215257965560296055138201711183980548244743223402142931349070314457256414268427038208621752060845828177437360167234978532093098786099737013390876444667575074857045891055479825410905511147256295229444820107044151403734666455952712841597709278912220895059275211546664501162231473005090687525250720187172801782608673924337385494218283415574442744296057952499450312006405313543810457353693579982771376855589538471388814655579982816492261598148998222309537750181187124092364788825442534199810125407074408929728146482404031564318114063042696266108360694146213995744173942463394135256481213847302860446909548943023705973196593739414462358783689569711053874980242491729103082278064525051247740095755715057163873414994317473548678566812338127584790149044990546153322158147757707966139268867762018477057567132214100983948421552508118699603604507914823487731434644003762460163457278407841897272766932845834257782743195196237046318770756693583791286164182813681859242576137159110330444658137850776936199985899324121445099776059696533467752051578917878914047139615898162389624745545160471423213931257497437409847919375617593667459384910691400517000992904659609756299489411523090943981064067330876417036109730119081639100718164932782791674831608914421289348843440508858154921162852344850424712911574335046}
30702 2409815062558342137106760812847136702946763268692504910662411169001334648550518148161175: {153485,184182,398957,675158,950801,1257101,1411142,1624397,1718584,1778918,1807937,1933407,2174801,2301675,2455120,2762010,2946144,3314412,3334637,4537828,4552397,4662904,4977857,5245767,5281517,5888237,6433601,6546902,7099277,7475428,7822635,8209108,8246801,8344144,9387162,9451601,9511757,10581495,11135751,11286928,11492417,11524024,11612177,11654438,11791757,12389837,12697794,12964527,12992632,13046801,13106477,13404737,13583597,13941101,13958035,14197622,14460664,14476817,14616711,14833601,15071297,15285398,15724301,16268247,16317101,16371878,16534903,16749642,16968257,16990804,17145677,17206431,17854637,18031697,18444557,18901958,18974801,19327937,19940050,19960311,20209517,20396215,20737601,21424982,21557777,21784838,22094308,22259537,23621290,23762275,23928060,24475458,24532301,24590417,24764717,25055057,25208632,25523264,25548943,25916995,26091878,26330177,27676047,27909604,28005101,28345548,28359711,28514730,28713672,29137450,30246977,30378182,30415712,30590801,30648077,30701671,30819857,31100394,31120915,31449101,31677677,32302881,32305601,32647697,32947675,32982868,33205863,33387917,33492664,33744700,33934262,33979384,34217676,34580801,34964940,35352662,35430701,36222317,36498490,36786797,37068737,37295936,37320148,37345098,37632017,37679247,37969601,38226807,38250701,38306897,38356984,38535638,38756177,39238311,39241382,39537210,40205908,40493640,40786744,40994897,41942477,41957928,42088844,42173024,42443201,42665537,42998801,43151607,43193216,43276301,43609037,43700344,43798188,43859530,43981315,44107601,44226507,44439617,44458450,45157997,45555345,45764801,45838195,45885087,45963604,45985217,46267142,46348395,46590701,46712275,47202669,47444652,48456077,48551224,48592368,49061318,49112237,49162887,49409942,49438288,49517515,49930817,50407735,50421101,50747597,51388311,51498662,51956674,52050701,52140700,52541078,52631436,52646417,52777578,52862801,53134804,53350140,54156783,54275558,54300631,54427757,54620127,54666414,55005834,55073357,55280548,55331704,55556801,55618074,55815544,56006438,56039597,56054730,56093201,56352182,56682317,56831635,56842817,56906816,57377297,58078742,58423622,58443857,58816397,58851028,59421018,59560301,59613377,59791712,60037697,60126920,60355601,60489282,60831917,60884801,61177478,61201937,61465997,61677101,62027203,62248167,62370715,62568840,62783297,62792487,62794635,62830450,63253015,63728657,64020168,64514477,64619117,64626087,65141837,65478904,65559437,66653201,66740096,66980944,67265676,67484177,67642785,67743437,68197962,68520017,68703062,69810317,70389945,70489639,71044301,71264632,71505857,71761622,71813201,72011050,72022689,72152304,72353188,72470695,72529217,72835601,72886637,73060948,73600301,73663767,73905677,74223820,74536891,74635384,74844858,74870801,75082608,75091287,75146342,75174977,75353562,75396540,75821558,75903618,76085777,76496198,76641101,76842797,77572330,78149708,78150701,78602177,79403201,79860758,80102417,80172711,80196422,80422976,80527125,80531942,80700497,80760115,80849837,81171342,81188050,81595457,81663595,81942797,82190657,82339277,83130701,83377601,83964807,84313997,84437995,84467934,84728824,85048804,85895600,86031377,86080301,86413260,86964834,87105857,87212102,87544598,88326471,88516301,88558804,88610290,89068584,89184207,89291597,89726801,89960788,90118635,90361450,90475848,90483832,90530582,91523318,92174144,92180717,92879032,93086796,93596035,93995597,94281101,94315384,94328657,94993601,95152262,95319927,95467601,95865625,96126544,96372235,96601937,96632550,96739951,96796022,96912138,97402637,97425660,97996314,98575937,98950337,99230801,99697601,99745718,...,72263800959929734569952240192911988414193568863486034112872535941738525742440682054063925199559150527703069494081359383206902350987546522085027186194515300236746384483053579214209998861633086916039518646825579386440335244565456199426142423556372175337408532564542691973695632334439198549699174049521294687511831550207388613843522364233779748419522985775535090534163521630485874477624017715328979663352313335625177687715752336603932618428899817441206037493504331889556155227076611643221760381808673197102021090940449720690699641058362984892765074924649033521273761300103099722570006910159696957858425011105595740030727923683260021125336991768636770101639921904542112786026198918755910849932508630664888681530733664743115673929618563810378081215819045765037391115557283117174384570292774950764947649565178734327008916485345596983728032201875213414021385024764228130319417871885368535175604816170510181550014600479097382652212838023388266821981693218482734590833942504010854787903798774188461028269955188383931537841954539993937334071580650677929081482302991832882033368139767490348704063000513687869167414097345996934537582304600414172027214854143508768259207488328311587508220435454440361754384715374330693108870972223895871718069790983620559408352934978847694923240898999885656650072903656455055305306242525350384778663379316362731681219686293203224533039205332066857943906239926079621795567534609416237459694177231947234858212743686255581799579804135142901243096591665281347981735966565102491502981327540461309864933413864632723740462999489191524793456938845662229501262045095161433697839598819096790658093701858910723361006574790173944047432330605623141016488048355875026068908983721612485729977844417950660832560129244162160085052552102017951831472365357657360662407642038610384215351198943471078027201750064504197287084109085864960123328361754550020472511491882962797308817355688958446728316824989562383927103998445555446782003240677501507857408266807038338871015232645774621951983991998590570184357659864732505332701629712662714641036646693041839047447510275209250150925088803110535346785069255697873025376617618934376817947250365125413882963899131882215719802810504273802142873498823499627055813289220561751101935911068314290777604940642631267875048377806597374014008278221228421616115811348047646609906395364557876765342289514583052876213182984308811858073102502377448091335495306988666327816906280112860921662972500725855113072719851241996484027498078176490749283795923031718840867556801128136398023840459637878524477073402366391764406222643763160133578444702507153189177127657650133458614374638738237820685757528690710669195442825770858441922487554380007350161658296493010294321676118713825507340957672855231143721719859004468801106924386427679517530412322605830110091901864264002639648795194840682714975454705351288109513206216919342749195971998970031224689918402834772466758080654499355511555418249649966645154844753155871753630283631593962173985309760938957770084553116818589588139104350753464038678336962734684103768407763308212394663399330372002110673469826488924740839352039871854173658278898752023995042961657362308842055825665753354336472565094697279134247050406567188017583474036107465526182470194193482045560431832485114929279336132473264559823579354128276341624227244204961158266583998802450757648813107678828522245537173117925942303141869289934890699096137509870919359379806330516783983147490617342522203401496573551568877150202805273799734587246417771374081635922386460023601237504225236117768505037320440380478258580508068178175082157172688031511609041111167837781422250322886948340444082707302566775970822367114835103214397023605471685884621402640557312932628091268742266156040250852467798139648179149605520086314667001362612285568836583219738116358266720884442844167230160566227105601999683929069262396563918368331342588912817319996751743347209507636031287876080280759202673913010886506078241327425123361664116444086928749175468009607970315715686030540369974157065283384307707083221983369974224738392397223497333464306625271780686138547183238163801299715188110611613394592219723606047346477171094564044399162541041219320993616260913695091202884721820770954290670364323414535558959794890609121693538175534354566580812470363737593654623417096787576871610143633572585745810122491476210323017850218507191377185223567485819229983237221636561949208903301643027715586350698321151475922632328762178049405406761872235231597151966005643690245185917611762845909150399268751386674114792794355569478156135040375686929246274220522788863864205738665495666987206776165404299978848986182167649664089544800201628077368376818371070709423847243584437118317740707134820896886246156114771879063426390501189077366037100775501489356989414634449234117284636415971596100996314625554164595178622458651077247399174187512247413371631934023265160763287232381744278517275637069367361502569}
30703 2417215558876375456318833840295047436285153681834544017169447677910016650038219011815303: {30703,245576,276273,1012737,1503761,2116713,2148230,2577876,2668377,3068900,3682680,3928192,4080041,4143015,4419216,4971618,5184413,5672285,5828630,6806742,6994356,7301126,7575737,8773622,9344285,9820353,9876062,10083521,10261385,10430180,10455401,11213142,11368553,11559197,12313662,12516216,12653081,12820478,13398857,13556582,14080743,14108660,14405030,14496977,14847668,16240790,16335917,16930392,17286036,17481657,18075830,18722873,19046691,19278221,19488948,19561718,20553401,21108893,21238505,21296433,21690996,21852737,22057553,22332856,22400033,22928097,22941908,23493977,23870897,23976902,24557817,25124463,25486206,26077193,26613748,27358841,27548057,27617885,27645398,28352937,29306081,29731961,29910075,30299993,30845417,31510790,31684862,31904080,32137473,32633944,32677257,32873501,33141462,33562361,34887005,35431935,35688401,35722742,35892090,36713187,36901396,37794064,37812948,38019640,38196857,38237801,38284896,38577773,38932001,39137817,39759038,40885766,41228585,41467192,41864406,41865830,42180875,42474230,42482321,42518322,42716342,42772095,43070508,43258502,43706175,44274484,44917613,45567273,45623568,46619920,46650185,46650591,46715537,47946230,48415241,48838601,48957926,49474302,49793464,50238996,50257385,50617050,50901393,50969076,50983430,51326514,51541526,52041977,52317748,52447410,52611055,52716280,53028993,53991520,54414893,54625430,54738497,54747735,55197062,55943904,55980222,56017647,56659181,57294041,57454505,57535476,57781382,57803457,58397584,58608326,58862073,58968676,59305815,59948057,60308862,60689030,60740460,61180116,61797860,62163041,62356553,62936892,63133266,63259536,64789824,65175875,65285462,65305961,65550516,65697282,65789295,65976881,66224222,66418505,66687675,66749177,68517748,68632733,68945406,69100685,69164630,69400713,69769430,70175248,70370104,71133520,71166978,71787677,72209044,72436913,72826836,72840518,72888552,73341112,73563785,73591977,73734041,74114913,74137721,74157432,74739640,74740457,74922257,75158650,76014422,76046417,76516973,77247993,77935011,78092573,78211050,78811617,78880217,78947154,79166367,79173353,79228024,79702206,80025210,80652376,81269153,81413337,81481901,81848630,81999621,82508751,82525961,82631693,82920822,82997556,83425120,83427111,83723316,83726180,84009657,84082095,84110726,84528273,85360224,86013101,86168116,87118113,87635433,88071038,88138433,88276542,88323833,89080790,89131527,89245313,89687568,90190380,90441485,90733923,90930616,91326185,91766217,92086742,92779775,93294230,93814553,93853260,94245675,95396717,96030252,96203072,96824126,96830441,97687135,98218356,99793144,...,96351734613239646093269653590549317885591425151314712150496714588984700989920909405418566932745534036937425992108479177609203134650062029446702914926020400315661845977404772285613331815510782554719358195767439181920446992753941599234856564741829567116544710086056922631594176445918931399598898732695059583349108733609851485124696485645039664559363981034046787378884695507314499303498690287105306217803084447500236916954336448805243491238533089921608049991339109186074873636102148857629013842411564262802694787920599627587599521411150646523686766566198711361698348400137466296760009213546262610477900014807460986707637231577680028167115989024849026802186562539389483714701598558341214466576678174219851575374311552990820898572824751747170774954425394353383188154076377489565846093723699934353263532753571645769345221980460795978304042935833617885361846699685637507092557162513824713567473088227346908733352800638796510202950450697851022429308924291310312787778590005347806383871731698917948037693273584511908717122606053325249778762107534237238775309737322443842711157519689987131605417334018250492223218796461329246050109739467218896036286472191345024345609984437748783344293913939253815672512953832440924145161296298527828957426387978160745877803913305130259897654531999847542200097204875273407073741656700467179704884505755150308908292915057604299377385607109422477258541653234772829060756712812554983279592236309262979810950324915007442399439738846857201657462122220375130642314622086803322003975103387281746486577885152843631653950665985588699724609251794216306001682726793548578263786131758795720877458269145214297814675433053565258729909774140830854688650731141166701425211978295483314306637125890600881110080172325549546780070069469357269108629820476876480883210189384813845620468265257961437369602333419338929716112145447819946831104482339400027296681989177283729745089807585277928971089099986083178569471997927407262376004320903335343809877689076051118494686976861032829269311989331454093579143546486310007110268839616883619521382195590722452063263347033612333534566785070814047129046759007597164033835490158579169090596333820167218510618532175842954293070414005698402857164665097999502741084385627415668135914548091085721036806587523508357166731170408796498685344370961637895488154415130730195479875193819410502353789719352777403834950910645745082477430803336503264121780660409318221770422541706817147895550630000967806817430293134989328645369997437568654332378394564042291787823409068170848530698453946183838032636097869821855685874963525017546844771259603342870918902836876866844611485832851650983760914343371587614225593923767694477922563316739173343133548877728657347059095568158285100676454610230473641524962293145339291734809232515236906023373883096807773480122535819018670186198393593120910286633939607135050812684274955892456998927962665293374966253224537113029955677440872665807348740557666199955526873126337541162338173711508791949565313746347918610360112737489091452784185472467671285384904449283646245471691210351077616526217865773829336147564626435318566321119136053162472231544371865002698660057282209816411789407767554337805781963420126263038845662733875422917356777965381476620701576626925591309394080575776646819905705781509964352746431439138837701788832302992273281544355445331736601010198417476905104696327382897490567923070855825719913187598794850013161225812506408440689045310863320823123362937868662098068758502866937073698399646116328557028498775514563181946698134983338966981490358006716427253840637678107344090904233442876230250708682145388148223783708563000430515931120592110276403422367961096489486446804285862698140628914512828536854076417243504121691656354874720334469957064186197572199474026781752889335150149714091782110959650821811022294512590458889640214088302807469332911905425683195418557824441790118550423093329002324462946010181375050501440374345603565217347848674770988436566831148885488592115904998900624012810627087620914707387159965542753711179076942777629311159965632984523196297996444619075500362374248184729577650885068399620250814148817859456292964808063128636228126085392532216721388292427991488347884926788270512962427694605720893819097886047411946393187478828924717567379139422107749960484983458206164556129050102495480191511430114327746829988634947097357133624676255169580298089981092306644316295515415932278537735524036954115134264428201967896843105016237399207209015829646975462869288007524920326914556815683794545533865691668515565486390392474092637541513387167582572328365627363718485152274318220660889316275701553872399971798648242890199552119393066935504103157835757828094279231796324779249491090320942846427862514994874819695838751235187334918769821382801034001985809319219512598978823046181887962128134661752834072219460238163278201436329865565583349663217828842578697686881017716309842325704689700849425823148670092}
30704 2424638650938661168405897458104317616250882750939838424681436874759035765212486950933576: {214879,306970,368364,797914,1318423,1350316,1869223,1901602,2052679,2236063,2514202,2822284,3222345,3248794,3437168,3557836,3615874,3836125,3866814,3883279,4349602,4603350,4613503,4910240,5524020,5892288,6434023,6628824,6669274,7457427,8428279,8742945,9075656,9104794,9325808,9512383,9955714,10210113,10233679,10491534,10563034,10951689,11776474,12031879,12867202,13037725,13093804,13107343,13160433,14001583,14198554,14814093,14950856,15645270,15784663,16418216,16493602,16688288,16819713,17205943,17635825,18091903,18268879,18445783,18470493,18559585,18774324,18903202,19023514,19230717,19541249,20334873,20738983,21162990,21607545,22271502,22573856,22669879,22984834,23048048,23224354,23308876,23544679,23583514,24361185,24592063,24779674,25395588,25462903,25929054,25985264,26093602,26212954,26809474,27113745,27167194,27882202,27916070,28395244,28554701,28677385,28921328,28953634,29233422,29342577,29667202,30142594,30306343,30570796,30650143,31448602,31508383,32364823,32536494,32634202,32743756,33048679,33069806,33219463,33267185,33499284,33936514,33981608,34291354,34412862,35709274,35965353,36063394,36281263,36283793,36889114,37803916,37949602,38229309,38309503,38655874,38814943,39880100,39920622,40419034,40792430,40823101,41468097,41475202,42501703,42849964,43115554,43334743,43569281,43569676,44188616,44519074,44663863,45657679,46126745,47242580,47266185,47308279,47524550,47527293,47856120,48950916,49064602,49180834,49529434,49712193,50110114,50417264,51046528,51097886,51403279,51566143,51833990,52183756,52660354,53584113,53676823,53838135,53838679,55343105,55352094,55614343,55819208,56010202,56097103,56691096,56719422,57029460,57221023,57427344,57861679,58274900,59617543,59638557,60412783,60493954,60756364,60831424,60889063,61181602,61296154,61328649,61403342,61573841,61639714,62200788,62241830,62796609,62798745,62898202,63355354,63711345,63777483,64074513,64173473,64605762,64611202,64887753,65146423,65295394,65397185,65616223,65895350,65965736,66411726,66775834,66985328,67489400,67868524,67958768,68435352,69161602,69324521,69929880,70570829,70587103,70705324,70861402,71049343,71919345,72444634,72891823,72996980,73436889,73503679,73573594,73710845,74137474,74211453,74266879,74591872,74640296,74690196,75028279,75264034,75358494,75787879,75925575,75939202,76453614,76475145,76501402,76613794,76713968,76989771,77071276,77247325,77312289,77512354,78206503,78476622,78482764,78671115,79074420,79558879,79564289,80307679,80411816,80987280,81573488,81938145,81948703,81989794,82394743,82795593,83305937,83884954,83915856,83970333,84177688,84346048,84886402,85331074,85647185,85997602,86086543,86303214,86386432,86552602,86672073,87112183,87218074,87319001,87400688,87596376,87719060,87912489,87962630,88089053,88215202,88425679,88453014,88554221,88879234,88916900,90261305,90315994,90463293,90601879,91033545,91110690,91467823,91529602,91676390,91770174,91927208,91970434,92534284,92696790,93181402,93424550,93621343,94335583,94405338,94699899,94889304,96912154,97102448,97184736,97879783,97928193,98122636,98224474,98302063,98325774,98442679,98545923,98583223,98819884,98876576,99035030,99284863,99336333,99861634,...,144527601919859469139904480385823976828387137726972068225745071883477051484881364108127850399118301055406138988162718766413804701975093044170054372389030600473492768966107158428419997723266173832079037293651158772880670489130912398852284847112744350674817065129085383947391264668878397099398348099042589375023663100414777227687044728467559496839045971551070181068327043260971748955248035430657959326704626671250355375431504673207865236857799634882412074987008663779112310454153223286443520763617346394204042181880899441381399282116725969785530149849298067042547522600206199445140013820319393915716850022211191480061455847366520042250673983537273540203279843809084225572052397837511821699865017261329777363061467329486231347859237127620756162431638091530074782231114566234348769140585549901529895299130357468654017832970691193967456064403750426828042770049528456260638835743770737070351209632341020363100029200958194765304425676046776533643963386436965469181667885008021709575807597548376922056539910376767863075683909079987874668143161301355858162964605983665764066736279534980697408126001027375738334828194691993869075164609200828344054429708287017536518414976656623175016440870908880723508769430748661386217741944447791743436139581967241118816705869957695389846481797999771313300145807312910110610612485050700769557326758632725463362439372586406449066078410664133715887812479852159243591135069218832474919388354463894469716425487372511163599159608270285802486193183330562695963471933130204983005962655080922619729866827729265447480925998978383049586913877691324459002524090190322867395679197638193581316187403717821446722013149580347888094864661211246282032976096711750052137817967443224971459955688835901321665120258488324320170105104204035903662944730715314721324815284077220768430702397886942156054403500129008394574168218171729920246656723509100040945022983765925594617634711377916893456633649979124767854207996891110893564006481355003015714816533614076677742030465291549243903967983997181140368715319729465010665403259425325429282073293386083678094895020550418500301850177606221070693570138511395746050753235237868753635894500730250827765927798263764431439605621008547604285746997646999254111626578441123502203871822136628581555209881285262535750096755613194748028016556442456843232231622696095293219812790729115753530684579029166105752426365968617623716146205004754896182670990613977332655633812560225721843325945001451710226145439702483992968054996156352981498567591846063437681735113602256272796047680919275757048954146804732783528812445287526320267156889405014306378354255315300266917228749277476475641371515057381421338390885651541716883844975108760014700323316592986020588643352237427651014681915345710462287443439718008937602213848772855359035060824645211660220183803728528005279297590389681365429950909410702576219026412433838685498391943997940062449379836805669544933516161308998711023110836499299933290309689506311743507260567263187924347970619521877915540169106233637179176278208701506928077356673925469368207536815526616424789326798660744004221346939652977849481678704079743708347316557797504047990085923314724617684111651331506708672945130189394558268494100813134376035166948072214931052364940388386964091120863664970229858558672264946529119647158708256552683248454488409922316533167997604901515297626215357657044491074346235851884606283738579869781398192275019741838718759612661033567966294981234685044406802993147103137754300405610547599469174492835542748163271844772920047202475008450472235537010074640880760956517161016136356350164314345376063023218082222335675562844500645773896680888165414605133551941644734229670206428794047210943371769242805281114625865256182537484532312080501704935596279296358299211040172629334002725224571137673166439476232716533441768885688334460321132454211203999367858138524793127836736662685177825634639993503486694419015272062575752160561518405347826021773012156482654850246723328232888173857498350936019215940631431372061080739948314130566768615414166443966739948449476784794446994666928613250543561372277094366476327602599430376221223226789184439447212094692954342189128088798325082082438641987232521827390182405769443641541908581340728646829071117919589781218243387076351068709133161624940727475187309246834193575153743220287267145171491620244982952420646035700437014382754370447134971638459966474443273123898417806603286055431172701396642302951845264657524356098810813523744470463194303932011287380490371835223525691818300798537502773348229585588711138956312270080751373858492548441045577727728411477330991333974413552330808599957697972364335299328179089600403256154736753636742141418847694487168874236635481414269641793772492312229543758126852781002378154732074201551002978713978829268898468234569272831943192201992629251108329190357244917302154494798348375024494826743263868046530321526574464763488557034551274138734723005138}
30705 2432084407338092242533883260237170407626735447157073088895047552470391965868616838789985: {61406,460455,491152,552546,1196871,1687895,2025474,2852403,3007522,3527855,3771303,4233426,4296460,4447295,4873191,5155752,5336754,5423811,5736599,5800221,6137800,6524403,6905025,7365360,7759763,7856384,7941199,8160082,8286030,8838432,8863919,9943236,10003911,10368826,11344570,11657260,12356383,13081999,13613484,13657191,13988712,14365939,14602252,14933571,15151474,15737301,15844551,16367255,17132791,17547244,17664711,18688570,19300803,19640706,19752124,20167042,20522770,20860360,20910802,21297831,21546247,22426284,22737106,23118394,23467905,24290383,24627324,24740403,25032432,25035331,25306162,25640956,26797714,27113164,28161486,28217320,28354803,28535271,28810060,28993954,29136095,29447923,29695336,29733907,31744485,32481580,32671834,33407253,33860784,33988823,34477251,34572072,34836531,34963314,35140639,35375271,35494055,36151660,37169511,37445746,38093382,38213495,38556442,38665039,38893581,38977896,39123436,39140403,39319431,40214211,40750791,40831123,40929695,41106802,41823303,41874105,41933839,42217786,42477010,42592866,43381992,43430451,43705474,43850133,44115106,44500803,44665712,44800066,45213891,45856194,45883816,46049399,46987954,47172903,47254895,47741794,47953804,48804741,48841807,48951303,49115634,49604709,49850125,50248926,50904771,50972412,51437031,51619293,52154386,53227496,53562455,53563911,54095091,54462095,54717682,55096114,55209271,55235770,55290796,55333671,56705874,56924403,57720019,57983811,58612162,59053225,59463922,59820150,59880933,60599986,60628551,61188645,61690834,62212803,62623871,63021580,63324967,63369724,63808160,64274946,64673331,64690951,65229695,65267888,65310259,65354514,65747002,66086999,66282924,66778611,67124722,68050439,69774010,70360339,70863870,71286825,71376802,71445484,71784180,72843625,73426374,73596903,73637351,73655477,73738867,73771251,73802792,74294151,75165171,75588128,75625896,75945455,76039280,76076099,76393714,76475602,76569792,76646829,77155546,77355287,77750985,77864002,78275634,78885391,78990531,79518076,80436307,81771532,82457170,82934384,83028141,83728812,83731660,84015303,84361750,84835655,84948460,84964642,85036644,85079133,85432684,85544190,86141016,86517004,87412350,88036883,88329631,88381655,88548968,89056223,89835226,90740931,91068007,91134546,91246225,91247136,91772403,91944231,91945039,92105013,92459571,92838887,92985907,93239840,93300370,93301182,93362745,93431074,94347303,95033031,95664311,95892460,96339095,96740959,96830482,96908643,96916803,97677202,97915852,97943091,98103455,98843025,98948604,99023759,99586928,99617589,...,216791402879789203709856720578735965242580706590458102338617607825215577227322046162191775598677451583109208482244078149620707052962639566255081558583545900710239153449160737642629996584899260748118555940476738159321005733696368598278427270669116526012225597693628075921086897003317595649097522148563884062535494650622165841530567092701339245258568957326605271602490564891457623432872053145986938990056940006875533063147257009811797855286699452323618112480512995668668465681229834929665281145426019591306063272821349162072098923175088954678295224773947100563821283900309299167710020730479090873575275033316787220092183771049780063376010975305910310304919765713626338358078596756267732549797525891994666044592200994229347021788855691431134243647457137295112173346671849351523153710878324852294842948695536202981026749456036790951184096605625640242064155074292684390958253615656105605526814448511530544650043801437292147956638514070164800465945079655448203772501827512032564363711396322565383084809865565151794613525863619981812002214741952033787244446908975498646100104419302471046112189001541063607502242292037990803612746913801242516081644562430526304777622464984934762524661306363321085263154146122992079326612916671687615154209372950861678225058804936543084769722696999656969950218710969365165915918727576051154335990137949088195043659058879609673599117615996200573831718719778238865386702603828248712379082531695841704574638231058766745398739412405428703729289774995844043945207899695307474508943982621383929594800241593898171221388998467574574380370816536986688503786135285484301093518796457290371974281105576732170083019724370521832142296991816869423049464145067625078206726951164837457189933533253851982497680387732486480255157656306053855494417096072972081987222926115831152646053596830413234081605250193512591861252327257594880369985085263650061417534475648888391926452067066875340184950474968687151781311995336666340346009722032504523572224800421115016613045697937323865855951975995771710553072979594197515998104889137988143923109940079125517142342530825627750452775266409331606040355207767093619076129852856803130453841751095376241648891697395646647159408431512821406428620496470498881167439867661685253305807733204942872332814821927893803625145133419792122042024834663685264848347434044142939829719186093673630296026868543749158628639548952926435574219307507132344274006485920965998983450718840338582764988917502177565339218159553725989452082494234529472247851387769095156522602670403384409194071521378913635573431220207099175293218667931289480400735334107521459567531382972950400375843123916214713462057272586072132007586328477312575325767462663140022050484974889479030882965028356141476522022873018565693431165159577013406403320773159283038552591236967817490330275705592792007918946385584522048144926364116053864328539618650758028247587915996910093674069755208504317400274241963498066534666254748949899935464534259467615260890850894781886521955929282816873310253659350455768764417313052260392116035010888204052311305223289924637183990197991116006332020409479466774222518056119615562520974836696256071985128884972086926526167476997260063009417695284091837402741151219701564052750422108322396578547410582580446136681295497455344787838008397419793679470738062384829024872681732614883474799751996407352272946439323036485566736611519353777826909425607869804672097288412529612758078139418991550351949442471852027566610204489720654706631450608415821399203761739253314122244907767159380070803712512675708353305515111961321141434775741524204534525246471518064094534827123333503513344266750968660845021332248121907700327912467101344505309643191070816415057653864207921671938797884273806226798468120752557403394418944537448816560258944001004087836856706509749659214349074800162653328532501690481698681316805999051787207787189691755104994027766738451959990255230041628522908093863628240842277608021739032659518234723982275370084992349332260786247526404028823910947147058091621109922471195850152923121249665950109922674215177191670492000392919875815342058415641549714491403899145564331834840183776659170818142039431513283692133197487623123657962980848782741085273608654165462312862872011092970243606676879384671827365080614526603063699742437411091212780963870251290362730614830430900717757237430367474428630969053550655521574131555670702457457689949711664909685847626709904929083146759052094963454427767896986286534148216220285616705694791455898016931070735557752835288537727451197806254160022344378383066708434468405121127060787738822661568366591592617215996487000961620328496212899936546958546502948992268634400604884232105130455113212128271541730753311354953222121404462690658738468344315637190279171503567232098111302326504468070968243903347702351853909247914788302988943876662493785535867375953231742197522562536742240114895802069795482289861697145232835551826911208102084507707}
30706 2439552896874583561657198289895265777744475439541516056719824682253133064196846356215891: {92109,429758,521713,613940,736728,828819,889633,1595828,2636846,2700632,3038211,3457009,3738446,3803204,4105358,4472126,4511283,4552993,5028404,5100013,5370575,5644568,6010273,6350139,6444690,6497588,6874336,7115672,7231748,7281613,7672250,7733628,7766558,7825393,8005131,8699204,9206700,9227006,9633313,9820480,10894573,11048040,11613709,11784576,12240123,12429045,12868046,13257648,13338548,14571575,14914854,15192109,15370273,15553239,16856558,17016855,17147953,17485890,17679853,17857009,18151312,18209588,18252815,18564913,18651616,19024766,19448173,19800973,19911428,20329633,20420226,20467358,20983068,21126068,21903378,21934055,22727211,23552948,24063758,24690155,24709933,25058413,25734404,25983419,26075450,26187608,26214686,26320866,26449453,28003166,28032855,28181773,28354609,28397108,29217709,29461059,29628186,29901712,30250563,30784155,31290540,31366203,31569326,32051195,32836432,32987204,33376576,33639426,33891455,34105659,34411886,34677591,35271650,36012575,36057709,36183806,36537758,36891566,36940986,37119170,37548648,37580833,37749709,37806404,37959243,38047028,38424493,38461434,38761453,39082498,40106413,40148339,40196571,40274209,40601975,40669746,41279473,41477966,42242229,42325980,43215090,43490931,43781293,44543004,45147712,45189575,45274609,45339758,45440173,45969668,46096096,46101709,46448708,46574059,46617752,47089358,47167028,48245483,48722370,48904295,49007751,49184126,49228273,49559348,50791176,50925806,51858108,51970528,52187204,52425908,52444971,53302573,53618948,54227490,54334388,54435313,55081009,55764404,55832140,56168619,56790488,57109402,57140073,57354770,57492109,57834663,57842656,57907268,58466844,58685154,59090509,59334404,59727853,59942255,60046093,60285188,60612686,61141592,61300286,61660203,62897204,62897293,63016766,63055009,63326679,63715515,63842509,63889299,64471213,64577443,64628209,64729646,65072988,65255473,65268404,65487512,65558211,66097358,66139612,66172659,66438926,66534370,66818593,66998568,67200099,67873028,67908493,67963216,68374513,68529709,68582708,68784291,68825724,69113495,69923233,70481931,71418548,71612691,71618509,71930706,72126788,72562526,72567586,73305073,73673451,73778228,75287053,75373389,75607832,75899204,76458618,76619006,76954609,77311748,77480347,77629886,77860513,78231579,78776975,79212155,79760200,79841244,80113933,80562673,80712109,80838068,81309133,81584860,81607213,81646202,82053793,82076523,82202509,82351153,82644171,82853655,82936194,82950404,85003406,85058811,85308913,85329563,85699928,86231108,86669486,87138562,87139352,87216013,87918243,88377232,89038148,89195883,89306855,89327726,89401393,89730225,90415693,90899979,91315358,91556059,92253490,92536251,93007693,94437613,94485160,94532370,94616558,95049100,95054586,95712240,95860333,96412419,97471319,97901832,98031771,98129204,98361668,98452471,98620503,99058868,99397595,99424386,...,289055203839718938279808960771647953656774275453944136451490143766954102969762728216255700798236602110812277976325437532827609403950186088340108744778061200946985537932214316856839995446532347664158074587302317545761340978261824797704569694225488701349634130258170767894782529337756794198796696198085178750047326200829554455374089456935118993678091943102140362136654086521943497910496070861315918653409253342500710750863009346415730473715599269764824149974017327558224620908306446572887041527234692788408084363761798882762798564233451939571060299698596134085095045200412398890280027640638787831433700044422382960122911694733040084501347967074547080406559687618168451144104795675023643399730034522659554726122934658972462695718474255241512324863276183060149564462229132468697538281171099803059790598260714937308035665941382387934912128807500853656085540099056912521277671487541474140702419264682040726200058401916389530608851352093553067287926772873930938363335770016043419151615195096753844113079820753535726151367818159975749336286322602711716325929211967331528133472559069961394816252002054751476669656389383987738150329218401656688108859416574035073036829953313246350032881741817761447017538861497322772435483888895583486872279163934482237633411739915390779692963595999542626600291614625820221221224970101401539114653517265450926724878745172812898132156821328267431775624959704318487182270138437664949838776708927788939432850974745022327198319216540571604972386366661125391926943866260409966011925310161845239459733655458530894961851997956766099173827755382648918005048180380645734791358395276387162632374807435642893444026299160695776189729322422492564065952193423500104275635934886449942919911377671802643330240516976648640340210208408071807325889461430629442649630568154441536861404795773884312108807000258016789148336436343459840493313447018200081890045967531851189235269422755833786913267299958249535708415993782221787128012962710006031429633067228153355484060930583098487807935967994362280737430639458930021330806518850650858564146586772167356189790041100837000603700355212442141387140277022791492101506470475737507271789001460501655531855596527528862879211242017095208571493995293998508223253156882247004407743644273257163110419762570525071500193511226389496056033112884913686464463245392190586439625581458231507061369158058332211504852731937235247432292410009509792365341981227954665311267625120451443686651890002903420452290879404967985936109992312705962997135183692126875363470227204512545592095361838551514097908293609465567057624890575052640534313778810028612756708510630600533834457498554952951282743030114762842676781771303083433767689950217520029400646633185972041177286704474855302029363830691420924574886879436017875204427697545710718070121649290423320440367607457056010558595180779362730859901818821405152438052824867677370996783887995880124898759673611339089867032322617997422046221672998599866580619379012623487014521134526375848695941239043755831080338212467274358352556417403013856154713347850938736415073631053232849578653597321488008442693879305955698963357408159487416694633115595008095980171846629449235368223302663013417345890260378789116536988201626268752070333896144429862104729880776773928182241727329940459717117344529893058239294317416513105366496908976819844633066335995209803030595252430715314088982148692471703769212567477159739562796384550039483677437519225322067135932589962469370088813605986294206275508600811221095198938348985671085496326543689545840094404950016900944471074020149281761521913034322032272712700328628690752126046436164444671351125689001291547793361776330829210267103883289468459340412857588094421886743538485610562229251730512365074969064624161003409871192558592716598422080345258668005450449142275346332878952465433066883537771376668920642264908422407998735716277049586255673473325370355651269279987006973388838030544125151504321123036810695652043546024312965309700493446656465776347714996701872038431881262862744122161479896628261133537230828332887933479896898953569588893989333857226501087122744554188732952655205198860752442446453578368878894424189385908684378256177596650164164877283974465043654780364811538887283083817162681457293658142235839179562436486774152702137418266323249881454950374618493668387150307486440574534290342983240489965904841292071400874028765508740894269943276919932948886546247796835613206572110862345402793284605903690529315048712197621627047488940926388607864022574760980743670447051383636601597075005546696459171177422277912624540161502747716985096882091155455456822954661982667948827104661617199915395944728670598656358179200806512309473507273484282837695388974337748473270962828539283587544984624459087516253705562004756309464148403102005957427957658537796936469138545663886384403985258502216658380714489834604308989596696750048989653486527736093060643053148929526977114069102548277469446010276}
30707 2447044188555693129576735829569612297888029927918272946436442105419763199910584220245855: {30707,122812,644637,767425,920910,982304,1105092,1994785,2363053,2393742,3375790,3955269,4050948,4754005,4938997,5607669,5704806,6015044,6158037,6226213,6285505,6411493,6708189,6779617,7055710,7542606,8121985,8466852,8592920,8894590,9039685,9170629,9667035,9746382,9906733,10311504,10673508,10847622,10874005,11473198,11508375,11600442,11649837,12275600,13048806,13810050,13840509,14730720,15115873,15519526,15712768,15845533,15882398,16219669,16320164,16572060,16673185,17676864,17727838,17864869,19302069,19883413,19886472,20007822,20737652,21362353,22372281,22689140,22761985,22914157,23314520,24483757,24712766,24889285,25284837,25775809,26163998,26228835,26407585,27226968,27314382,27603937,27977424,28537149,28731878,28896349,29204504,29441185,29867142,30302948,30630339,30701037,30722893,31474602,31689102,32168005,32734510,32855067,33118597,34265582,34661869,35094488,35329422,35496385,36095637,36427393,37339189,37377140,38601606,39113175,39281412,39322029,39481299,39504248,40168609,40334084,40790533,41045540,41234005,41720720,41750053,41821604,42004749,42595662,43092494,44442279,44852568,45474212,46052413,46236788,46721653,46935810,47258005,47353989,47558785,48580766,49254648,49480806,49691677,50064864,50070662,50447857,50459139,50612324,51281912,51617829,52740853,52907475,53498893,53595428,54226328,54275709,54422017,54806637,55337349,55411479,55678755,56081773,56322972,56434640,56709606,57070542,57301573,57462085,57620120,57692151,57987908,58060885,58272190,58623747,58738417,58895846,58958785,59390672,59467814,60087973,61004619,61949185,62216949,63488970,64822635,64963160,65234005,65343668,65532385,66156853,66757933,66814506,67023685,67721568,67917985,67977646,68009637,68054893,68954502,69144144,69673062,69705505,69790175,69926628,70281278,70634037,70750542,70988110,71157937,72303320,72384085,73083555,73776189,74168005,74339022,74891492,74987437,75249997,75356485,76056373,76081093,76186764,76246933,76388709,76426990,76746373,77112884,77330078,77787162,77955792,78102817,78246872,78280806,78393613,78621505,78638862,78715789,80428422,81341235,81501582,81585505,81662246,81859390,82213604,82674515,83646606,83748210,83867678,84435572,84841285,84954020,85185732,85664103,85728385,86032155,86455909,86763984,86860902,87410948,87700266,88027731,88230212,89001606,89256997,89273185,89331424,89560033,89600132,89750497,89908117,90033493,90158485,90427782,90919029,91321573,91564849,91712388,91767632,91950429,92056189,92098798,92222785,93400429,93876193,93975908,94345806,94509790,94525149,94874005,95483588,95907608,96337357,96639685,97094469,97609482,97683614,97902606,97988869,98231268,98907169,99146037,99209418,99658389,99700250,99801555,...,433582805759578407419713441157471930485161413180916204677235215650431154454644092324383551197354903166218416964488156299241414105925279132510163117167091801420478306898321475285259993169798521496237111880953476318642011467392737196556854541338233052024451195387256151842173794006635191298195044297127768125070989301244331683061134185402678490517137914653210543204981129782915246865744106291973877980113880013751066126294514019623595710573398904647236224961025991337336931362459669859330562290852039182612126545642698324144197846350177909356590449547894201127642567800618598335420041460958181747150550066633574440184367542099560126752021950611820620609839531427252676716157193512535465099595051783989332089184401988458694043577711382862268487294914274590224346693343698703046307421756649704589685897391072405962053498912073581902368193211251280484128310148585368781916507231312211211053628897023061089300087602874584295913277028140329600931890159310896407545003655024065128727422792645130766169619731130303589227051727239963624004429483904067574488893817950997292200208838604942092224378003082127215004484584075981607225493827602485032163289124861052609555244929969869525049322612726642170526308292245984158653225833343375230308418745901723356450117609873086169539445393999313939900437421938730331831837455152102308671980275898176390087318117759219347198235231992401147663437439556477730773405207656497424758165063391683409149276462117533490797478824810857407458579549991688087890415799390614949017887965242767859189600483187796342442777996935149148760741633073973377007572270570968602187037592914580743948562211153464340166039448741043664284593983633738846098928290135250156413453902329674914379867066507703964995360775464972960510315312612107710988834192145944163974445852231662305292107193660826468163210500387025183722504654515189760739970170527300122835068951297776783852904134133750680369900949937374303562623990673332680692019444065009047144449600842230033226091395874647731711903951991543421106145959188395031996209778275976287846219880158251034284685061651255500905550532818663212080710415534187238152259705713606260907683502190752483297783394791293294318816863025642812857240992940997762334879735323370506611615466409885744665629643855787607250290266839584244084049669327370529696694868088285879659438372187347260592053737087498317257279097905852871148438615014264688548012971841931997966901437680677165529977835004355130678436319107451978904164988469058944495702775538190313045205340806768818388143042757827271146862440414198350586437335862578960801470668215042919135062765945900800751686247832429426924114545172144264015172656954625150651534925326280044100969949778958061765930056712282953044045746037131386862330319154026812806641546318566077105182473935634980660551411185584015837892771169044096289852728232107728657079237301516056495175831993820187348139510417008634800548483926996133069332509497899799870929068518935230521781701789563773043911858565633746620507318700911537528834626104520784232070021776408104622610446579849274367980395982232012664040818958933548445036112239231125041949673392512143970257769944173853052334953994520126018835390568183674805482302439403128105500844216644793157094821165160892273362590994910689575676016794839587358941476124769658049745363465229766949599503992814704545892878646072971133473223038707555653818851215739609344194576825059225516156278837983100703898884943704055133220408979441309413262901216831642798407523478506628244489815534318760141607425025351416706611030223922642282869551483048409069050492943036128189069654246667007026688533501937321690042664496243815400655824934202689010619286382141632830115307728415843343877595768547612453596936241505114806788837889074897633120517888002008175673713413019499318428698149600325306657065003380963397362633611998103574415574379383510209988055533476903919980510460083257045816187727256481684555216043478065319036469447964550740169984698664521572495052808057647821894294116183242219844942391700305846242499331900219845348430354383340984000785839751630684116831283099428982807798291128663669680367553318341636284078863026567384266394975246247315925961697565482170547217308330924625725744022185940487213353758769343654730161229053206127399484874822182425561927740502580725461229660861801435514474860734948857261938107101311043148263111341404914915379899423329819371695253419809858166293518104189926908855535793972573068296432440571233411389582911796033862141471115505670577075454902395612508320044688756766133416868936810242254121575477645323136733183185234431992974001923240656992425799873093917093005897984537268801209768464210260910226424256543083461506622709906444242808925381317476936688631274380558343007134464196222604653008936141936487806695404703707818495829576605977887753324987571071734751906463484395045125073484480229791604139590964579723394290465671103653822416204169015414}
30708 2454558351597245131262832548385201703683363315689680885835927841222021304350198527373738: {153515,184218,337667,583091,859516,950987,1043426,1134827,1227880,1381365,1441067,1473456,1657638,1779266,1808291,2175227,3191656,3590613,4005587,4553291,4614107,5063685,5273692,5401264,5464691,5828747,6071291,6076422,6434867,6914018,7282091,7342547,7476892,7518805,7606408,8210716,8429387,8549987,8557209,8944252,9022566,9105986,9633947,10056808,10200026,10583565,10741150,11135147,11289136,11313909,11794091,12020546,12153107,12700278,12889380,12995176,13288091,13341885,13586291,13748672,14122547,14231344,14463496,14563226,14619573,15344500,15467256,15533116,15650786,15727427,16010262,16271433,16498067,17149091,17208227,17209797,17398408,17400663,18035291,18413400,18454012,18566147,18625091,19266626,19573209,19640960,19861067,20400205,20715075,21562091,21789146,22096080,22789667,23227418,23279289,23547827,23569152,23823597,24480246,24711587,24769691,24858090,25553941,25582307,25736092,25922065,26515296,26591757,26677096,27376091,28183667,28361425,28759547,29143150,29449547,29829708,30011733,30384218,30707677,30740546,30826091,31106478,32483267,32825291,33713116,34033710,34295906,34566217,34587827,34871387,34971780,35359706,35714018,36302624,36419176,36505630,37069149,37129826,37303232,37639691,37878685,38049532,38146067,38427107,38764091,38820227,38896346,39245997,39601946,39822856,39941267,40500587,40659266,40840452,40934716,40971573,41966136,42118091,42252136,43097817,43451627,43784291,43806756,43868110,44800713,44871673,45454422,45774227,45994691,46721425,46765307,47105896,47211903,47448037,47533653,48127516,49101765,49286291,49380310,49419866,50116826,50417605,50594867,50921291,51306925,51398373,51468808,51681827,51966838,52150900,52277005,52375216,52429372,52641732,52898906,52994133,53954027,54762107,56006332,56051291,56065710,56363546,56709218,56794216,56842765,56854691,57017389,57335867,57709667,57795985,57902409,58435418,58456091,58922118,59256372,59572787,59732027,59785091,59803424,60368267,60501126,60844691,61056227,61568310,61690067,62581080,62732406,63138652,63265405,63893493,64102390,64528091,64638741,65260067,65672864,65974408,66753152,66823307,66994285,67278852,67654091,67782910,67913291,68211318,68224067,68466013,68823772,69355182,70403715,70543300,71982107,72025150,72115418,72367612,72484885,72871149,73075516,73310291,73616027,73783132,73881972,74221209,74238340,74531507,75038987,75097296,75105993,75161666,75343091,75499418,75612808,75798707,75899867,75918486,76094056,76657547,76848986,76922868,77312747,77522906,77866091,77916347,78164996,79570307,79670267,80212826,80296678,80393142,80548418,80867291,81066347,81203950,81339492,81679585,82059707,82357091,82406627,82558946,82955932,83395667,83593091,83919157,84484458,84627467,84651960,85064409,85605813,86430180,86981862,87222347,87271091,87408285,87562586,87563387,88343769,88535627,88729691,89086008,89201721,89262707,89456291,89746427,90295424,90379150,90422291,90470507,90549218,90679516,90880346,91577267,91939336,92153027,92192192,92203418,92897416,93148118,93235504,93614365,94016291,94178716,94334056,94444547,94492091,95233455,95488667,95630747,95914691,96391105,96490966,96758893,97141787,97444740,97808590,97988147,98015502,98316587,98368252,98456546,99118696,99392987,99719747,99859667,...,650374208639367611129570161736207895727742119771374307015852823475646731681966138486575326796032354749327625446732234448862121158887918698765244675750637702130717460347482212927889989754697782244355667821430214477963017201089105794835281812007349578036676793080884227763260691009952786947292566445691652187606483951866497524591701278104017735775706871979815814807471694674372870298616159437960816970170820020626599189441771029435393565860098356970854337441538987006005397043689504788995843436278058773918189818464047486216296769525266864034885674321841301691463851700927897503130062191437272620725825099950361660276551313149340190128032925917730930914759297140879015074235790268803197649392577675983998133776602982688041065366567074293402730942371411885336520040015548054569461132634974556884528846086608608943080248368110372853552289816876920726192465222878053172874760846968316816580443345534591633950131404311876443869915542210494401397835238966344611317505482536097693091134188967696149254429596695455383840577590859945436006644225856101361733340726926495938300313257907413138336567004623190822506726876113972410838240741403727548244933687291578914332867394954804287573983919089963255789462438368976237979838750015062845462628118852585034675176414809629254309168090998970909850656132908095497747756182728153463007970413847264585130977176638829020797352847988601721495156159334716596160107811484746137137247595087525113723914693176300236196218237216286111187869324987532131835623699085922423526831947864151788784400724781694513664166995402723723141112449610960065511358405856452903280556389371871115922843316730196510249059173111565496426890975450608269148392435202875234620180853494512371569800599761555947493041163197459440765472968918161566483251288218916245961668778347493457938160790491239702244815750580537775583756981772784641109955255790950184252603426946665175779356201200626020554851424906061455343935986009999021038029166097513570716674401263345049839137093811971597567855927987315131659218938782592547994314667413964431769329820237376551427027592476883251358325799227994818121065623301280857228389558570409391361525253286128724946675092186939941478225294538464219285861489411496643502319602985055759917423199614828616998444465783681410875435400259376366126074503991055794545042302132428819489157558281020890888080605631247475885918646858779306722657922521397032822019457762897996950352156521015748294966752506532696017654478661177968356247482703588416743554163307285469567808011210153227582214564136740906720293660621297525879656003793868441202206002322564378702594148918851201127529371748644140386171817758216396022758985431937725977302387989420066151454924668437092648895085068424429566068619055697080293495478731040219209962319477849115657773710903452470990827116778376023756839156753566144434779092348161592985618855952274084742763747990730281022209265625512952200822725890494199603998764246849699806393602778402845782672552684345659565867787848450619930760978051367306293251939156781176348105032664612156933915669869773911551970593973348018996061228438400322667554168358846687562924510088768215955386654916260779578502430991780189028253085852275512208223453659104692158251266324967189735642231747741338410043886492366034363514025192259381038412214187154487074618045197844650424399255989222056818839317969109456700209834558061333480728276823609414016291865237588838274234418256974651055848327415556082699830613469161964119894351825247464197611285217759942366734723301478140212411137538027125059916545335883963424304327224572613603575739414554192283604481370000510540032800252905982535063996744365723100983737401304033515928929573212449245172961592623765015816393652821418680395404362257672210183256833612346449680776832003012263510570119529248977643047224400487959985597505071445096043950417997155361623361569075265314982083300215355879970765690124885568724281590884722526832824065217097978554704171946826110254977047996782358742579212086471732841441174274863329767413587550458769363748997850329768022645531575011476001178759627446026175246924649143474211697436692995504520551329977512454426118294539851076399592462869370973888942546348223255820825962496386938588616033278910730820030638154015482095241843579809191099227312233273638342891610753871088191844491292702153271712291102423285892907160651966564722394667012107372373069849134994729057542880129714787249440277156284890363283303690958859602444648660856850117084374367694050793212206673258505865613182353593418762480067033135149200125303405215363381182363216467984705099774777851647989461002884860985488638699809640875639508846976805903201814652696315391365339636384814625192259934064859666364213388071976215405032946911570837514510701696294333906979513404212904731710043107055561727743744364908966831629987481356607602127859695226592567687610226720344687406209386446869585091435698506655480733624306253523121}
30709 2462095455423954851940073872415437967800119988882872923736298151195083040128406183076109: {61414,245624,276327,1074395,1289274,1534850,1565139,1841820,1964608,2210184,2486457,2668899,2792699,3989570,4726106,4787484,6592115,6655607,6751580,7577219,7910538,8101896,8799707,9114633,9346115,9508010,9877994,10263395,10371027,11072231,11180315,11215338,11370779,11409612,12030088,12316074,12452426,12479027,12571010,12655559,12822986,13416378,13533849,13559234,13658979,14111420,15085212,15223607,15300039,16111725,16158347,16243970,16894211,16933704,17185840,17789180,18030819,18079370,18341258,18726539,19050417,19180625,19334070,19416395,19492764,19813466,20557427,20623008,21113027,21347016,21695244,21748010,21844839,22404419,22575047,22946396,23016750,23067515,23200884,23299674,23342459,23476179,23498579,23875571,24015393,24551200,26082299,26097612,27364199,27553451,27620100,27681018,28899939,29461440,30231746,30305927,30851459,31039052,31425536,31691066,31764347,31764796,31866779,32170115,32439338,32640328,32683719,32879939,33144120,33346370,34337351,34841127,34844999,35353728,35455676,35729738,36720369,36970619,37287135,38204339,38604138,38939627,39766826,39772944,40015644,40964027,41217659,41475304,42141395,42724706,43714725,44629367,44744562,45035207,45378280,45523970,45576327,45828314,46110819,46467227,46629040,46659717,46724711,47561915,48967514,49425532,49694939,49778570,50569674,51050565,51168395,51443859,51551618,52327996,52457670,52815170,53039559,53571027,54425579,54453936,54628764,54758445,55207874,55216499,55694739,55954848,56382899,57074298,57463756,57727607,57792698,58344519,58409008,58882370,59402919,59734284,60159395,60605896,60759347,60988899,61260678,61402074,61445786,62330099,62949204,63378204,64336010,65188625,65469020,65536715,65648819,65710134,65802165,66161207,66237194,66278459,66582299,68181633,68531164,69323738,70007915,70188976,70658844,70992770,71013059,72191274,72196739,72854786,74070465,74129799,74678378,74754280,75175239,76061351,76656539,76751411,77203212,77950257,78226350,78562824,78644058,78895739,78923315,78962598,79008496,79348359,79529459,80337218,80446919,80668168,81285239,81581066,82091080,82468010,82542299,83441440,83500106,83643208,84009498,84098565,84545319,84595859,85063827,85191324,86029715,86184988,86728859,87616391,87653127,88179125,88383177,88884558,89262839,89423339,89705136,89914019,90459515,90700259,90702887,90751689,90948424,91327607,91333499,91344395,91745339,92104826,92228915,92352465,92473576,92797925,93443306,93833159,93871620,94098609,94516010,94707978,95085179,95117570,95736587,96031427,96153585,97161532,97587707,97706245,98509296,98961612,99383354,...,867165611519156814839426882314943860970322826361832409354470431300862308909288184648767102394709806332436833928976312598482828211850558265020326234334183602840956613796642950570519986339597042992474223761906952637284022934785474393113709082676466104048902390774512303684347588013270382596390088594255536250141978602488663366122268370805356981034275829306421086409962259565830493731488212583947755960227760027502132252589028039247191421146797809294472449922051982674673862724919339718661124581704078365224253091285396648288395692700355818713180899095788402255285135601237196670840082921916363494301100133267148880368735084199120253504043901223641241219679062854505353432314387025070930199190103567978664178368803976917388087155422765724536974589828549180448693386687397406092614843513299409179371794782144811924106997824147163804736386422502560968256620297170737563833014462624422422107257794046122178600175205749168591826554056280659201863780318621792815090007310048130257454845585290261532339239462260607178454103454479927248008858967808135148977787635901994584400417677209884184448756006164254430008969168151963214450987655204970064326578249722105219110489859939739050098645225453284341052616584491968317306451666686750460616837491803446712900235219746172339078890787998627879800874843877460663663674910304204617343960551796352780174636235518438694396470463984802295326874879112955461546810415312994849516330126783366818298552924235066981594957649621714814917159099983376175780831598781229898035775930485535718379200966375592684885555993870298297521483266147946754015144541141937204374075185829161487897124422306928680332078897482087328569187967267477692197856580270500312826907804659349828759734133015407929990721550929945921020630625224215421977668384291888327948891704463324610584214387321652936326421000774050367445009309030379521479940341054600245670137902595553567705808268267501360739801899874748607125247981346665361384038888130018094288899201684460066452182791749295463423807903983086842212291918376790063992419556551952575692439760316502068569370123302511001811101065637326424161420831068374476304519411427212521815367004381504966595566789582586588637633726051285625714481985881995524669759470646741013223230932819771489331259287711575214500580533679168488168099338654741059393389736176571759318876744374694521184107474174996634514558195811705742296877230028529377096025943683863995933802875361354331059955670008710261356872638214903957808329976938117888991405551076380626090410681613537636776286085515654542293724880828396701172874671725157921602941336430085838270125531891801601503372495664858853848229090344288528030345313909250301303069850652560088201939899557916123531860113424565906088091492074262773724660638308053625613283092637132154210364947871269961321102822371168031675785542338088192579705456464215457314158474603032112990351663987640374696279020834017269601096967853992266138665018995799599741858137037870461043563403579127546087823717131267493241014637401823075057669252209041568464140043552816209245220893159698548735960791964464025328081637917867096890072224478462250083899346785024287940515539888347706104669907989040252037670781136367349610964604878806256211001688433289586314189642330321784546725181989821379151352033589679174717882952249539316099490726930459533899199007985629409091785757292145942266946446077415111307637702431479218688389153650118451032312557675966201407797769887408110266440817958882618826525802433663285596815046957013256488979631068637520283214850050702833413222060447845284565739102966096818138100985886072256378139308493334014053377067003874643380085328992487630801311649868405378021238572764283265660230615456831686687755191537095224907193872483010229613577675778149795266241035776004016351347426826038998636857396299200650613314130006761926794725267223996207148831148758767020419976111066953807839961020920166514091632375454512963369110432086956130638072938895929101480339969397329043144990105616115295643788588232366484439689884783400611692484998663800439690696860708766681968001571679503261368233662566198857965615596582257327339360735106636683272568157726053134768532789950492494631851923395130964341094434616661849251451488044371880974426707517538687309460322458106412254798969749644364851123855481005161450922459321723602871028949721469897714523876214202622086296526222682809829830759798846659638743390506839619716332587036208379853817711071587945146136592864881142466822779165823592067724282942231011341154150909804791225016640089377513532266833737873620484508243150955290646273466366370468863985948003846481313984851599746187834186011795969074537602419536928420521820452848513086166923013245419812888485617850762634953873377262548761116686014268928392445209306017872283872975613390809407415636991659153211955775506649975142143469503812926968790090250146968960459583208279181929159446788580931342207307644832408338030828}
30710 2469655569670055460447059187218422932934055160523596366014270741535486450884164000849085: {92121,214921,307030,368436,399061,675334,1166182,1719032,1869589,1901974,1933911,2053081,2086852,2236501,2269654,2302275,2419849,2455760,2762730,2882134,2946912,3315276,3558532,3616582,4350454,4614409,4796821,5525749,5889781,5984355,6383312,7089159,7181226,7343029,8011174,8439475,8610841,9106582,9228214,9333721,10127370,10526327,10547384,10802528,10929382,11657494,11865807,12034261,12142582,12152844,12869734,13288969,13825621,13828036,14262015,14564182,14685094,14718601,14816991,14953784,15037610,15075289,15212816,15787801,16321429,16421432,16823007,16858774,17099974,17114418,17209369,17386741,17639275,17888504,18045132,18095509,18211972,18272521,18449461,18474111,18626329,18678639,18856515,19234479,19267894,20113616,20124567,20338851,20400052,21167130,21482300,21797641,22236475,22270294,22499209,22578272,22627818,23588182,24041092,24306214,24365955,24771349,25400556,25642009,25778760,25990352,26163541,26576182,26683770,27031321,27119055,27172582,27497344,27511887,28245094,28462688,28560287,28682995,28926992,29001105,29126452,29239146,29720199,30689000,30828169,30934512,31066232,31301572,31454854,31686229,32020524,32542866,32622015,32996134,33226201,33396949,34298182,34416454,34419594,34525125,34796816,34801326,34949511,36070582,36290891,36458101,36826800,36908024,37132294,37250182,38533252,38798815,38822869,38991241,39146418,39281920,39705995,39722134,40800410,40831087,41006089,41430150,41521527,41675401,42677209,43124182,43510069,43578292,44192160,44319595,44673049,45004681,45347619,45579334,45997849,46454836,46558578,46823509,47095654,47138304,47536599,47647194,48659007,48960492,49125781,49423174,49539382,49716180,50019555,51107882,51164614,51413941,51472184,51576841,51739669,51844130,52065109,52877449,53030159,53030592,53183514,53354192,53594607,53849881,54011701,54752182,56108809,56367334,56722850,57072601,57393289,57519094,57906207,58286300,58832821,58899094,59630041,59650239,59659416,59789269,60023466,60425461,60768436,60901849,61060501,61415354,61481092,61652182,61694389,61781915,62212956,63090247,64087059,64846549,64966534,65409995,65650582,67116843,67384187,67426232,68067420,68285955,68591812,68742471,69132434,69175654,69742774,69943560,70584647,70719412,71428036,71829695,72605248,72838352,73011260,73187807,73451271,74138298,74259652,74587609,74606464,74667855,75196441,75279382,75757370,75854511,75955861,76099064,76292134,76854214,76864789,77318281,77327427,77528182,77640454,77792692,77921929,78491994,78686505,79203892,79222755,79579871,79645712,79882534,80325001,80914379,81001174,81072181,81318532,81680904,81836275,81869432,81943146,82412569,82811811,83599129,83932272,84042901,84236182,84504272,85075849,85611447,85663955,86195634,86689047,86903254,87277429,87568582,87569749,87613512,87736220,88323555,88571567,88736149,89317621,89601426,89743346,90477109,90766261,90908844,91487881,91548454,91891017,91989382,92103111,92168679,92207701,93442850,93530614,93641941,93791999,94211792,94213621,94423806,94499029,94896074,95067306,95211289,96255032,96504015,97196041,97760521,98203530,98464501,98565201,98572582,98605081,98760620,98839732,99355791,...,1300748417278735222259140323472415791455484239542748614031705646951293463363932276973150653592064709498655250893464468897724242317775837397530489351501275404261434920694964425855779979509395564488711335642860428955926034402178211589670563624014699156073353586161768455526521382019905573894585132891383304375212967903732995049183402556208035471551413743959631629614943389348745740597232318875921633940341640041253198378883542058870787131720196713941708674883077974012010794087379009577991686872556117547836379636928094972432593539050533728069771348643682603382927703401855795006260124382874545241451650199900723320553102626298680380256065851835461861829518594281758030148471580537606395298785155351967996267553205965376082130733134148586805461884742823770673040080031096109138922265269949113769057692173217217886160496736220745707104579633753841452384930445756106345749521693936633633160886691069183267900262808623752887739831084420988802795670477932689222635010965072195386182268377935392298508859193390910767681155181719890872013288451712202723466681453852991876600626515814826276673134009246381645013453752227944821676481482807455096489867374583157828665734789909608575147967838179926511578924876737952475959677500030125690925256237705170069350352829619258508618336181997941819701312265816190995495512365456306926015940827694529170261954353277658041594705695977203442990312318669433192320215622969492274274495190175050227447829386352600472392436474432572222375738649975064263671247398171844847053663895728303577568801449563389027328333990805447446282224899221920131022716811712905806561112778743742231845686633460393020498118346223130992853781950901216538296784870405750469240361706989024743139601199523111894986082326394918881530945937836323132966502576437832491923337556694986915876321580982479404489631501161075551167513963545569282219910511581900368505206853893330351558712402401252041109702849812122910687871972019998042076058332195027141433348802526690099678274187623943195135711855974630263318437877565185095988629334827928863538659640474753102854055184953766502716651598455989636242131246602561714456779117140818782723050506572257449893350184373879882956450589076928438571722978822993287004639205970111519834846399229657233996888931567362821750870800518752732252149007982111589090084604264857638978315116562041781776161211262494951771837293717558613445315845042794065644038915525795993900704313042031496589933505013065392035308957322355936712494965407176833487108326614570939135616022420306455164429128273481813440587321242595051759312007587736882404412004645128757405188297837702402255058743497288280772343635516432792045517970863875451954604775978840132302909849336874185297790170136848859132137238111394160586990957462080438419924638955698231315547421806904941981654233556752047513678313507132288869558184696323185971237711904548169485527495981460562044418531251025904401645451780988399207997528493699399612787205556805691565345105368691319131735575696901239861521956102734612586503878313562352696210065329224313867831339739547823103941187946696037992122456876800645335108336717693375125849020177536431910773309832521559157004861983560378056506171704551024416446907318209384316502532649934379471284463495482676820087772984732068727028050384518762076824428374308974149236090395689300848798511978444113637678635938218913400419669116122666961456553647218828032583730475177676548468836513949302111696654831112165399661226938323928239788703650494928395222570435519884733469446602956280424822275076054250119833090671767926848608654449145227207151478829108384567208962740001021080065600505811965070127993488731446201967474802608067031857859146424898490345923185247530031632787305642837360790808724515344420366513667224692899361553664006024527021140239058497955286094448800975919971195010142890192087900835994310723246723138150530629964166600430711759941531380249771137448563181769445053665648130434195957109408343893652220509954095993564717485158424172943465682882348549726659534827175100917538727497995700659536045291063150022952002357519254892052350493849298286948423394873385991009041102659955024908852236589079702152799184925738741947777885092696446511641651924992773877177232066557821461640061276308030964190483687159618382198454624466547276685783221507742176383688982585404306543424582204846571785814321303933129444789334024214744746139698269989458115085760259429574498880554312569780726566607381917719204889297321713700234168748735388101586424413346517011731226364707186837524960134066270298400250606810430726762364726432935969410199549555703295978922005769721970977277399619281751279017693953611806403629305392630782730679272769629250384519868129719332728426776143952430810065893823141675029021403392588667813959026808425809463420086214111123455487488729817933663259974962713215204255719390453185135375220453440689374812418772893739170182871397013310961467248612507046242}
30711 2477238764179926662400495749142381496313736867779776149966225670212576431112827621638432: {122828,460545,491248,552654,1013001,1504153,1749273,2148790,2578548,2608565,2852961,3069700,3130278,3404481,3683640,3713369,3929216,4144095,4323201,4420368,4448165,4972914,5337798,5424873,5585398,6525681,7761281,7979140,8865653,9228961,9452212,9574968,9784049,10771839,11992361,12016761,13084561,13184230,13311214,13503160,13659873,13842321,14368753,14747941,15154438,15191055,15652441,15821076,16203792,16394073,17285045,17486241,17599414,18059329,18213873,18229266,18692230,19016020,19304601,19755988,20526790,20742054,21846273,22027641,22144462,22360630,22430676,22556415,22741558,22764965,22819224,24060176,24295141,24632148,24904852,24958054,25040233,25142020,25288161,25311118,25500065,25645972,25649961,25671627,26679601,26832756,26852875,27067698,27118468,27182953,27317958,28222840,28901841,29453689,30051365,30170424,30447214,30600078,31750695,32223450,32294521,32316694,32487940,33405441,33788422,33867408,33941727,34371680,35147521,35382273,35501329,35578360,36007961,36061638,36158740,36408065,36459321,36682516,37453078,38100834,38361250,38668140,38832790,38985528,39126965,39626932,39864273,40025655,40758873,40839121,41114854,41246016,41942053,42226054,42367641,42694032,43390488,43496020,43689678,43858719,44808838,45038161,45150094,45892792,46033500,46135030,46401768,46599348,46684918,46952358,46997158,47182281,47751142,48030786,48166565,48733921,48814299,49102400,49494201,51447273,51624681,51629391,52164598,52195224,52201989,52528181,54105873,54472865,54728398,55106902,55220113,55240200,55362036,55698441,55875273,57799878,58068545,58719627,58922880,58997953,59583201,60463492,60611854,61200615,61702918,62078104,62145225,62851072,63382132,63528694,63529592,63733558,64099409,64340230,64686273,64878676,65280656,65367438,65759878,66288240,66586681,66692740,68369001,68674702,69682254,69689998,69837867,70643481,70707456,70911352,71167253,71459476,71470791,71635753,71806501,72857875,73440738,73941238,74134761,74309073,74574270,75960545,76408678,76661823,76746921,76851365,77208276,77766195,77879254,78086921,78960533,79533652,79545888,79775271,80031288,80690473,81928054,82128273,82435318,82950608,84069689,84223153,84282790,84551001,85084275,85449412,85739765,86278641,87429450,88348641,88399265,89258734,89285045,89489124,90035199,90045329,90070414,90706213,90756560,91047940,91152654,91264075,91656628,91751401,92068241,92123031,92221638,92478273,92824565,92934454,93258080,93319434,93449422,94548313,95123830,97240865,97449801,97632361,97935028,98011081,98475873,98851064,99004865,99389878,99557140,...,1951122625918102833388710485208623687183226359314122921047558470426940195045898415459725980388097064247982876340196703346586363476663756096295734027251913106392152381042446638783669969264093346733067003464290643433889051603267317384505845436022048734110030379242652683289782073029858360841877699337074956562819451855599492573775103834312053207327120615939447444422415084023118610895848478313882450910512460061879797568325313088306180697580295070912563012324616961018016191131068514366987530308834176321754569455392142458648890308575800592104657022965523905074391555102783692509390186574311817862177475299851084980829653939448020570384098777753192792744277891422637045222707370806409592948177733027951994401329808948064123196099701222880208192827114235656009560120046644163708383397904923670653586538259825826829240745104331118560656869450630762178577395668634159518624282540904950449741330036603774901850394212935629331609746626631483204193505716899033833952516447608293079273402566903088447763288790086366151521732772579836308019932677568304085200022180779487814900939773722239415009701013869572467520180628341917232514722224211182644734801061874736742998602184864412862721951757269889767368387315106928713939516250045188536387884356557755104025529244428887762927504272996912729551968398724286493243268548184460389023911241541793755392931529916487062392058543965805164485468478004149788480323434454238411411742785262575341171744079528900708588654711648858333563607974962596395506871097257767270580495843592455366353202174345083540992500986208171169423337348832880196534075217569358709841669168115613347768529950190589530747177519334696489280672926351824807445177305608625703860542560483537114709401799284667842479123489592378322296418906754484699449753864656748737885006335042480373814482371473719106734447251741613326751270945318353923329865767372850552757810280839995527338068603601878061664554274718184366031807958029997063114087498292540712150023203790035149517411281435914792703567783961945394977656816347777643982944002241893295307989460712129654281082777430649754074977397683984454363196869903842571685168675711228174084575759858386174840025276560819824434675883615392657857584468234489930506958808955167279752269598844485850995333397351044232626306200778129098378223511973167383635126906397286458467472674843062672664241816893742427657755940576337920167973767564191098466058373288693990851056469563047244884900257519598088052963435983533905068742448110765250230662489921856408703424033630459682746643692410222720160880981863892577638968011381605323606618006967693136107782446756553603382588115245932421158515453274649188068276956295813177931907163968260198454364774005311277946685255205273288698205857167091240880486436193120657629886958433547346973321132710357412972481350335128071270517470260698433304337277044484778956856567856822254228291243972190843066627796876538856602468177671482598811996292740549099419180808335208537348017658053036978697603363545351859792282934154101918879755817470343529044315097993836470801747009609321734655911781920044056988183685315200968002662505076540062688773530266304647866159964748782338735507292975340567084759257556826536624670360977314076474753798974901569206926695243224015230131659477098103090542075576778143115236642561463461223854135593533951273197767967666170456517953907328370100629503674184000442184830470828242048875595712766514822703254770923953167544982246668248099491840407485892359683055475742392592833855653279827100204169904434420637233412614081375179749636007651890272912981673717840810727218243662576850813444110001531620098400758717947605191990233097169302951212203912100547786788719637347735518884777871295047449180958464256041186213086773016630549770500837039349042330496009036790531710358587746932929141673201463879956792515214335288131851253991466084870084707225795944946249900646067639912297070374656706172844772654167580498472195651293935664112515840478330764931143990347076227737636259415198524323522824589989302240762651376308091246993550989304067936594725034428003536278882338078525740773947430422635092310078986513561653989932537363278354883619553229198777388608112921666827639044669767462477887489160815765848099836732192460091914462046446285725530739427573297681936699820915028674832261613264575533473878106459815136873307269857678721481955899694167184001036322117119209547404984187172628640389144361748320831468854671089849911072876578807333945982570550351253123103082152379636620019775517596839547060780256287440201099405447600375910215646090143547089649403954115299324333554943968383008654582956465916099428922626918526540930417709605443958088946174096018909154443875576779802194578999092640164215928646215098840734712512543532105088883001720938540212638714195130129321166685183231233094726900494889962444069822806383579085679777703062830680161034062218628159340608755274307095519966442200872918760569363}
30712 2484845109008725228709295111483127643302742584663014205006395317765867246742090647475371: {153535,184242,429842,614060,705847,736872,798122,828981,1257511,1350668,2332364,3223185,3438064,3739178,3803948,3837125,3867822,4106162,4173704,4473002,4539308,4604550,4695417,4839698,4911520,5283247,5525460,5764268,5893824,6630552,7117064,7233164,7459371,8006697,8008087,8378097,8551111,8700908,9228818,9593642,9973925,11051498,11779562,11795647,11815265,11968710,12692767,12766624,13409167,14178318,14362452,14686058,15373327,16022348,16878950,17221682,17860567,18037687,18213164,18456428,18667442,19275511,19628527,19776345,19966821,20254740,20509807,21037711,21052654,21094768,21605056,21858764,22731657,23314988,23731614,23770025,24068522,24285164,24305688,24694985,25063447,25739468,26399121,26577938,27343899,27651242,27656072,28038345,28360327,28524030,28878511,29128364,29370188,29437202,29633982,29907568,30075220,30150578,30425632,30790185,31113081,31116487,31131065,31427525,31575602,32057465,32642858,32842864,33216693,33540945,33646014,33717548,33898085,34112337,34199948,34228836,34418738,34773482,34876111,35278550,35777008,36090264,36191018,36234607,36423944,36545042,36898922,36948222,37081327,37252658,37357278,37437081,37713030,37757407,37926247,37966677,38263711,38468958,38535788,40156193,40227232,40249134,40282447,40601547,40609925,40677702,40800104,40976937,41287927,42334260,42964600,43291111,43595282,44122711,44472950,44540588,44998418,45156544,45198425,45255636,45449527,45670821,45853145,45900117,46111207,47176364,48082184,48254921,48335175,48475041,48612428,48731910,49533665,49542698,50220607,50682633,50801112,51284018,51557520,51980704,52327082,52339711,53152364,53367540,54062642,54092457,54238110,54318341,54345164,54370025,54994688,55023774,55588393,56179617,56490188,56925376,57120574,57151251,57365990,57541875,57853984,58002210,58249185,58252904,58478292,59102887,59262367,59440398,59581111,61170511,61378000,61487527,61656338,61672281,61869024,62047433,62132464,62603144,62909708,63068287,63339081,63372458,64041048,64641847,65085732,65244030,65534517,65582527,65992268,66452402,66793898,67213257,67725141,67767367,68544247,68596364,68832908,68839188,69050250,69202545,69593632,69602652,69899022,70027377,70428537,70495737,70512629,71326111,71626713,71787487,72046179,72141164,72581782,72916202,73653600,73816048,74264588,74500364,74561201,75455167,75579365,75910711,76365607,77066504,77597630,77645738,77982482,78246897,78292836,78563840,78630367,79227665,79411990,79444268,79681711,80729527,80878927,81098345,81600820,81624847,81662174,82012178,82092597,82220287,82368967,82660353,82860300,83043054,83350802,83365925,83407711,83703847,85354418,86248364,86494681,86699817,87020138,87156584,88111327,88384320,88639190,89324345,89346098,90009362,90695238,90917781,91158668,91573993,91995698,92554377,92909672,93117156,93171487,93647018,94191308,94276608,95073198,95293041,95294388,95600337,96023407,96510345,97318014,97920984,98051157,98251562,98639817,98846348,99078764,99417065,99432360,99967711,...,2601496834557470444518280646944831582910968479085497228063411293902586926727864553946301307184129418997310501786928937795448484635551674795060978703002550808522869841389928851711559959018791128977422671285720857911852068804356423179341127248029398312146707172323536911053042764039811147789170265782766608750425935807465990098366805112416070943102827487919263259229886778697491481194464637751843267880683280082506396757767084117741574263440393427883417349766155948024021588174758019155983373745112235095672759273856189944865187078101067456139542697287365206765855406803711590012520248765749090482903300399801446641106205252597360760512131703670923723659037188563516060296943161075212790597570310703935992535106411930752164261466268297173610923769485647541346080160062192218277844530539898227538115384346434435772320993472441491414209159267507682904769860891512212691499043387873267266321773382138366535800525617247505775479662168841977605591340955865378445270021930144390772364536755870784597017718386781821535362310363439781744026576903424405446933362907705983753201253031629652553346268018492763290026907504455889643352962965614910192979734749166315657331469579819217150295935676359853023157849753475904951919355000060251381850512475410340138700705659238517017236672363995883639402624531632381990991024730912613852031881655389058340523908706555316083189411391954406885980624637338866384640431245938984548548990380350100454895658772705200944784872948865144444751477299950128527342494796343689694107327791456607155137602899126778054656667981610894892564449798443840262045433623425811613122225557487484463691373266920786040996236692446261985707563901802433076593569740811500938480723413978049486279202399046223789972164652789837763061891875672646265933005152875664983846675113389973831752643161964958808979263002322151102335027927091138564439821023163800737010413707786660703117424804802504082219405699624245821375743944039996084152116664390054282866697605053380199356548375247886390271423711949260526636875755130370191977258669655857727077319280949506205708110369907533005433303196911979272484262493205123428913558234281637565446101013144514899786700368747759765912901178153856877143445957645986574009278411940223039669692798459314467993777863134725643501741601037505464504298015964223178180169208529715277956630233124083563552322422524989903543674587435117226890631690085588131288077831051591987801408626084062993179867010026130784070617914644711873424989930814353666974216653229141878271232044840612910328858256546963626881174642485190103518624015175473764808824009290257514810376595675404804510117486994576561544687271032865584091035941727750903909209551957680264605819698673748370595580340273697718264274476222788321173981914924160876839849277911396462631094843613809883963308467113504095027356627014264577739116369392646371942475423809096338971054991962921124088837062502051808803290903561976798415995056987398799225574411113611383130690210737382638263471151393802479723043912205469225173007756627124705392420130658448627735662679479095646207882375893392075984244913753601290670216673435386750251698040355072863821546619665043118314009723967120756113012343409102048832893814636418768633005065299868758942568926990965353640175545969464137454056100769037524153648856748617948298472180791378601697597023956888227275357271876437826800839338232245333922913107294437656065167460950355353096937673027898604223393309662224330799322453876647856479577407300989856790445140871039769466938893205912560849644550152108500239666181343535853697217308898290454414302957658216769134417925480002042160131201011623930140255986977462892403934949605216134063715718292849796980691846370495060063265574611285674721581617449030688840733027334449385798723107328012049054042280478116995910572188897601951839942390020285780384175801671988621446493446276301061259928333200861423519883062760499542274897126363538890107331296260868391914218816687787304441019908191987129434970316848345886931365764697099453319069654350201835077454995991401319072090582126300045904004715038509784104700987698596573896846789746771982018082205319910049817704473178159404305598369851477483895555770185392893023283303849985547754354464133115642923280122552616061928380967374319236764396909248933094553371566443015484352767377965170808613086849164409693143571628642607866258889578668048429489492279396539978916230171520518859148997761108625139561453133214763835438409778594643427400468337497470776203172848826693034023462452729414373675049920268132540596800501213620861453524729452865871938820399099111406591957844011539443941954554799238563502558035387907223612807258610785261565461358545539258500769039736259438665456853552287904861620131787646283350058042806785177335627918053616851618926840172428222246910974977459635867326519949925426430408511438780906370270750440906881378749624837545787478340365742794026621922934497225014092484}
30713 2492474674423017405000698602276077129512894664244860605230422681412719609362998576577942: {30713,245656,276363,644763,767575,921090,982496,1105308,1197183,1688335,2026002,2915455,3008306,3498546,3651991,4297580,4388527,4754935,5157096,5217130,5608767,5674135,5705922,5801733,6139400,6159243,6227431,6260556,6709503,6808962,6906825,7205335,7259547,7367280,7426738,7858432,8288190,8646402,8840736,8896330,9041455,9172423,9908671,9945828,10458811,10675596,10849746,10876135,11170796,11562967,13051362,13403227,13828111,13843227,14390463,15522562,15958280,16577247,17669343,17731306,17868367,17953065,18457922,18904424,19149936,19568098,19887307,20027935,20450887,21267477,21543678,22029087,22766455,23070535,23922811,23984722,24033522,24199063,24488551,25318425,25832523,26169122,26368460,26622428,27006320,27319746,27323455,27609343,27684642,28001163,28737506,28902007,29143735,29495882,30308876,30356455,30382110,30728911,31304882,31578981,31642152,31870951,32174335,32407584,32788146,33125083,34570090,34972482,35198828,35597421,35700091,36102783,36118658,36410455,36427746,36434527,36458532,36681007,36712735,37346503,37384460,37594025,38032040,38609202,39511976,39866907,41053580,41476863,41484108,41566267,41758231,42071911,42146935,42554863,42749935,42786045,43692546,44055282,44155803,44288924,44450973,44721260,44861352,45112830,45225867,45483116,45529930,45638448,47079847,47363403,48120352,48169735,48590282,48964287,49264296,49809704,49916108,50076367,50080466,50284040,50469021,50576322,50622236,50971291,51000130,51291944,51299922,51343254,51490711,51628107,52160223,52917825,53359202,53568343,53665512,53705750,54135396,54236936,54286527,54365906,54635916,54756427,54777751,54817563,55348383,55422333,55675735,55878987,56035917,56445680,56569545,57703437,57803682,58096687,58707967,58907378,58970455,60102730,60340848,60373701,60765535,60894428,61016553,61200156,63501390,64446900,64589042,64633388,64770607,64975880,65392923,66440455,66709425,66810882,67433191,67497627,67576844,67734816,67883454,67931455,68252983,68743360,70295042,70612735,70764546,70769611,71002658,71156720,71171911,72015922,72123276,72206191,72317480,72816130,72918642,73097865,73365032,74314047,74906156,75753847,76201668,76262011,76722500,76926027,77336280,77665580,77971056,78092047,78253930,78490623,78637135,79253864,79469623,79539871,79728546,80051310,81093963,81295963,81357165,81508591,81517746,81678242,82229708,82490335,82492032,82535661,83884106,84406087,84452108,84735282,85388064,85680861,85745455,86041135,86048985,86671831,86780976,86992040,87003315,87379356,87717438,89160597,89617676,90076322,90176455,90300188,90714811,91785584,92067000,92074267,92270060,92284543,92484507,92803536,92830735,92863231,93125455,93198696,93369836,93904716,93951103,93994316,94364562,94880431,95058687,95502284,96061572,96272503,96333130,97467842,97628598,97866045,98204800,98988402,99090727,99305335,99355087,99678603,...,3902245251836205666777420970417247374366452718628245842095116940853880390091796830919451960776194128495965752680393406693172726953327512192591468054503826212784304762084893277567339938528186693466134006928581286867778103206534634769011690872044097468220060758485305366579564146059716721683755398674149913125638903711198985147550207668624106414654241231878894888844830168046237221791696956627764901821024920123759595136650626176612361395160590141825126024649233922036032382262137028733975060617668352643509138910784284917297780617151601184209314045931047810148783110205567385018780373148623635724354950599702169961659307878896041140768197555506385585488555782845274090445414741612819185896355466055903988802659617896128246392199402445760416385654228471312019120240093288327416766795809847341307173076519651653658481490208662237121313738901261524357154791337268319037248565081809900899482660073207549803700788425871258663219493253262966408387011433798067667905032895216586158546805133806176895526577580172732303043465545159672616039865355136608170400044361558975629801879547444478830019402027739144935040361256683834465029444448422365289469602123749473485997204369728825725443903514539779534736774630213857427879032500090377072775768713115510208051058488857775525855008545993825459103936797448572986486537096368920778047822483083587510785863059832974124784117087931610328970936956008299576960646868908476822823485570525150682343488159057801417177309423297716667127215949925192791013742194515534541160991687184910732706404348690167081985001972416342338846674697665760393068150435138717419683338336231226695537059900381179061494355038669392978561345852703649614890354611217251407721085120967074229418803598569335684958246979184756644592837813508969398899507729313497475770012670084960747628964742947438213468894503483226653502541890636707846659731534745701105515620561679991054676137207203756123329108549436368732063615916059994126228174996585081424300046407580070299034822562871829585407135567923890789955313632695555287965888004483786590615978921424259308562165554861299508149954795367968908726393739807685143370337351422456348169151519716772349680050553121639648869351767230785315715168936468979861013917617910334559504539197688971701990666794702088465252612401556258196756447023946334767270253812794572916934945349686125345328483633787484855315511881152675840335947535128382196932116746577387981702112939126094489769800515039196176105926871967067810137484896221530500461324979843712817406848067260919365493287384820445440321761963727785155277936022763210647213236013935386272215564893513107206765176230491864842317030906549298376136553912591626355863814327936520396908729548010622555893370510410546577396411714334182481760972872386241315259773916867094693946642265420714825944962700670256142541034940521396866608674554088969557913713135713644508456582487944381686133255593753077713204936355342965197623992585481098198838361616670417074696035316106073957395206727090703719584565868308203837759511634940687058088630195987672941603494019218643469311823563840088113976367370630401936005325010153080125377547060532609295732319929497564677471014585950681134169518515113653073249340721954628152949507597949803138413853390486448030460263318954196206181084151153556286230473285122926922447708271187067902546395535935332340913035907814656740201259007348368000884369660941656484097751191425533029645406509541847906335089964493336496198983680814971784719366110951484785185667711306559654200408339808868841274466825228162750359499272015303780545825963347435681621454436487325153701626888220003063240196801517435895210383980466194338605902424407824201095573577439274695471037769555742590094898361916928512082372426173546033261099541001674078698084660992018073581063420717175493865858283346402927759913585030428670576263702507982932169740169414451591889892499801292135279824594140749313412345689545308335160996944391302587871328225031680956661529862287980694152455475272518830397048647045649179978604481525302752616182493987101978608135873189450068856007072557764676157051481547894860845270184620157973027123307979865074726556709767239106458397554777216225843333655278089339534924955774978321631531696199673464384920183828924092892571451061478855146595363873399641830057349664523226529151066947756212919630273746614539715357442963911799388334368002072644234238419094809968374345257280778288723496641662937709342179699822145753157614667891965141100702506246206164304759273240039551035193679094121560512574880402198810895200751820431292180287094179298807908230598648667109887936766017309165912931832198857845253837053081860835419210887916177892348192037818308887751153559604389157998185280328431857292430197681469425025087064210177766003441877080425277428390260258642333370366462466189453800989779924888139645612767158171359555406125661360322068124437256318681217510548614191039932884401745837521138726}
30714 2500127530901413207536859061695070783943667138464425663301903173024588146449186741566593: {214949,307070,337733,368484,521849,859684,1135049,1228120,1318853,1381635,1411694,1473744,1596244,1625033,1657962,2175653,2515022,2542373,2701336,3039003,4189049,4512459,4664728,4797449,5247819,5371975,6011849,6446370,6799493,6876128,7478356,7607896,7674250,7735644,7825695,8212324,8347408,8558883,8611973,8946004,9078616,9209100,9390834,9455333,9679396,9823040,10213443,10537349,10566494,11050920,11137349,11140107,11317193,11528536,11787648,12155513,12432285,12753353,12969603,13261104,13344495,13410053,13946633,13963495,14234128,14466328,14839493,14918742,15196133,16013394,16016174,16274619,16541371,16756194,17102222,17389049,17401816,18097913,18457636,18569849,19187284,19335653,19577043,19947850,21039113,22102996,23283843,23552549,23559124,23591294,23630530,23843849,23937420,25385534,25533248,25761413,26167049,26282873,26596959,26818334,27150533,27686883,28356636,28362233,28724904,29352147,29372116,29455493,29627849,30603173,30746654,31175813,32044696,32315517,32660933,32960575,33278035,33757900,34443364,34572979,35048549,35721134,35784713,35977083,36050283,36075374,36293573,36426328,36912856,37334884,37591049,37886095,37985093,38322533,38551022,38996549,39253683,39257054,39552690,39933642,40117349,40508873,40509480,40979619,41019614,41526963,41792549,42075422,42105308,42189536,43016453,43106259,43210112,43349573,43583491,43626953,43717528,43998535,44243823,44457893,44880451,45463314,45573165,45673349,46114373,46629976,46730575,46939913,46957323,47457319,47463228,47540050,47599049,48137044,48570328,48611376,49132553,49182219,49241849,49389970,50126894,50768633,51316975,51478936,51692549,51855135,52458723,52798242,53155876,53317349,53965253,54127049,54177987,54641619,54687798,54773513,54934949,55302484,55312144,55361155,55901575,56076690,56720654,56853895,57028543,57048060,57508133,57721733,57757022,57881849,57913803,58148549,58256728,58740376,58841033,58874404,59267964,59638373,59744549,59815136,60150440,60301156,60380933,60851264,61174793,61227653,61580370,62226162,62232974,62262130,62395135,62855050,63151204,63277795,63282953,63703049,64070213,64114930,64194403,64489349,64855673,65285716,65538819,65639333,65685728,66082923,66433386,67081890,67292028,67435096,67669245,67796170,68224674,68294895,68393849,68399896,68457672,68837476,68911049,69347131,69546964,69752222,70557100,70612133,71331173,71554016,71843813,72180528,72382036,72469214,72847888,72866693,72885423,73090084,73529849,73797844,73896444,73937273,74162654,74505316,74547449,74699813,74714556,74874162,75120699,75207173,75308549,75426060,75514814,75852494,75864483,75933354,75966713,76118035,76421573,76500195,76527422,76937916,76949883,76976633,77014881,77071576,77329349,78083849,80038803,80312386,80336549,80454464,80498268,80558625,80564894,80585849,80791735,81203094,81219850,81355404,81548859,81600208,81953874,82226213,82424453,82575854,83333107,83709893,84153593,84471055,84645833,84668520,84793349,85186373,85929200,86582222,86705523,87143813,87190564,87728549,88117783,88245422,88361067,88945900,89081176,89427449,89996836,90154095,90313088,90396850,90511272,90634949,90899054,91341642,91597349,91706290,91800234,92222414,93632695,93655673,94322633,94352728,95252085,95651849,95903125,96164368,96509842,96670350,96883563,96927653,96950082,97081975,97224856,97463820,97774949,98150693,98479049,99067330,99085396,99274853,99881849,...,5853367877754308500166131455625871061549679077942368763142675411280820585137695246379177941164291192743948629020590110039759090429991268288887202081755739319176457143127339916351009907792280040199201010392871930301667154809801952153517536308066146202330091137727958049869346219089575082525633098011224869688458355566798477721325311502936159621981361847818342333267245252069355832687545434941647352731537380185639392704975939264918542092740885212737689036973850883054048573393205543100962590926502528965263708366176427375946670925727401776313971068896571715223174665308351077528170559722935453586532425899553254942488961818344061711152296333259578378232833674267911135668122112419228778844533199083855983203989426844192369588299103668640624578481342706968028680360139932491125150193714771011960759614779477480487722235312993355681970608351892286535732187005902478555872847622714851349223990109811324705551182638806887994829239879894449612580517150697101501857549342824879237820207700709265343289866370259098454565198317739508924059798032704912255600066542338463444702819321166718245029103041608717402560541885025751697544166672633547934204403185624210228995806554593238588165855271809669302105161945320786141818548750135565609163653069673265312076587733286663288782512818990738188655905196172859479729805644553381167071733724625381266178794589749461187176175631897415493456405434012449365440970303362715234235228355787726023515232238586702125765964134946575000690823924887789186520613291773301811741487530777366099059606523035250622977502958624513508270012046498640589602225652708076129525007504346840043305589850571768592241532558004089467842018779055474422335531916825877111581627681450611344128205397854003527437370468777134966889256720263454098349261593970246213655019005127441121443447114421157320203341755224839980253812835955061769989597302118551658273430842519986582014205810805634184993662824154553098095423874089991189342262494877622136450069611370105448552233844307744378110703351885836184932970449043332931948832006725679885923968382136388962843248332291949262224932193051953363089590609711527715055506027133684522253727279575158524520075829682459473304027650846177973572753404703469791520876426865501839256808796533457552986000192053132697878918602334387295134670535919502150905380719191859375402418024529188017992725450681227282973267821729013760503921302692573295398175119866081972553169408689141734654700772558794264158890307950601715206227344332295750691987469765569226110272100891379048239931077230668160482642945591677732916904034144815970819854020903079408323347340269660810147764345737797263475546359823947564204830868887439533795721491904780595363094322015933833840055765615819866094617571501273722641459308579361972889660875300642040919963398131072238917444051005384213811552410782095299913011831133454336870569703570466762684873731916572529199883390629616569807404533014447796435988878221647298257542425005625612044052974159110936092810090636055579376848802462305756639267452411030587132945293981509412405241028827965203967735345760132170964551055945602904007987515229620188066320590798913943598479894246347016206521878926021701254277772670479609874011082931942229424261396924704707620780085729672045690394978431294309271626226730334429345709927684390383671562406780601853819593303902998511369553861721985110301888511022552001326554491412484726146626787138299544468109764312771859502634946740004744298475521222457677079049166427227177778501566959839481300612509713303261911700237842244125539248908022955670818738945021153522432181654730987730552440332330004594860295202276153842815575970699291507908853636611736301643360366158912043206556654333613885142347542875392768123558639260319049891649311502511118047126991488027110371595131075763240798787425019604391639870377545643005864395553761974398254610254121677387834838749701938202919736891211123970118518534317962502741495416586953881806992337547521434992294793431971041228683212908778245595572970568473769967906722287954128924273740980652967912203809784175103284010608836647014235577222321842291267905276930236959540684961969797612089835064650858659687596332165824338765000482917134009302387433662467482447297544299510196577380275743386139338857176592218282719893045810099462745086024496784839793726600421634319379445410619921809573036164445867699082501552003108966351357628642214952561517885921167433085244962494406564013269549733218629736422001837947711651053759369309246457138909860059326552790518641182340768862320603298216342801127730646938270430641268948211862345897973000664831905149025963748869397748298286767880755579622791253128816331874266838522288056727463331626730339406583736997277920492647785938645296522204137537630596315266649005162815620637916142585390387963500055549693699284180701484669887332209468419150737257039333109188492040483102186655884478021826265822921286559899326602618756281708089}
30715 2507803749135202611216754798440090206946223130274238288599125323785511854306382521503893: {61426,460605,491312,552726,1074605,1289526,1535150,1842180,1964992,1995305,2117541,2210616,2363669,2394366,2486943,3376670,3772533,4052004,4081637,5186441,5830910,6016612,6656909,6997092,7303982,7943789,8595160,8777054,9347945,9509870,9669555,10087469,10265405,10314192,10434260,11074397,11182505,11217534,11348270,11411844,11511375,11603466,12099245,12278800,12318486,12360413,12454862,12521112,12658037,13419006,13617924,13813650,14086251,14410670,14502653,14519094,14734560,14853476,15226589,15716864,15849741,16342313,16576380,17292804,17681472,17792660,18082910,18344846,19285769,19817342,19891656,20561453,20917622,21117161,21351192,21699492,21752270,21861293,22341592,22378113,22579469,23072045,23125934,23503181,23984105,24020091,24024261,24596693,25134291,25653333,26102724,26806454,27369557,27628745,27656222,27686454,28039109,28272413,28780926,29448905,29921775,30311861,30857501,31045124,31770569,31873037,31916560,32298749,32886377,33154494,34344077,34888709,35338686,35386941,35445795,35462612,35736734,35906130,36715145,36915844,37808848,38078301,38211821,38252837,38299872,38947253,39136196,39774614,40055870,40227501,40801229,40901774,42197375,42499037,42534954,42716069,42975293,43054205,43087356,43350281,44058174,44638109,45044069,45532910,46119981,46141070,46476329,46668605,47845622,47969444,48067044,48398126,48977102,50326733,50636850,50748533,50974637,51397829,51665046,52338244,52631635,52736920,53244856,53267309,53581701,54002453,54012640,54113061,54639492,54646910,55218686,55369284,56002326,57475012,57804014,57826533,58287470,58885581,58991764,59005709,59181161,59329035,59849909,59870501,59900463,60171305,60617752,60712910,60764220,61457822,61529421,62609764,63113133,63157962,63284304,63741902,64348670,64712141,64815168,65576292,66250166,66444845,67437629,68194971,68659721,69128105,69140180,69944964,70397656,70774253,71194842,71310075,71400182,72205566,72210917,72237316,72820910,72855492,72869054,72917064,73362014,73425470,73593005,74084955,74693006,74768920,75188050,75190341,75376445,76064080,76547081,77218404,77946029,78939005,79023952,79197363,79545077,79733814,80701037,81607145,82031697,82107160,82558637,82953726,82968216,83132534,83516462,83636813,84115035,84143822,84293870,85071749,85080981,85109726,85499870,85572090,86046845,86635533,86933705,87385092,88110564,88196375,88311606,88577848,88901946,89442520,89722704,90225660,90451734,90477545,90966232,91059860,91097837,91276896,91362605,92247305,92290601,92370555,92711069,93016637,93131645,93339243,93349461,93393195,93900809,94159694,94282575,94726806,95104037,96172395,96240704,96339470,96653897,96868517,97180564,97677941,97928574,98528592,98857829,99619408,99650079,99832216,...,7804490503672411333554841940834494748732905437256491684190233881707760780183593661838903921552388256991931505360786813386345453906655024385182936109007652425568609524169786555134679877056373386932268013857162573735556206413069269538023381744088194936440121516970610733159128292119433443367510797348299826251277807422397970295100415337248212829308482463757789777689660336092474443583393913255529803642049840247519190273301252353224722790321180283650252049298467844072064764524274057467950121235336705287018277821568569834595561234303202368418628091862095620297566220411134770037560746297247271448709901199404339923318615757792082281536395111012771170977111565690548180890829483225638371792710932111807977605319235792256492784398804891520832771308456942624038240480186576654833533591619694682614346153039303307316962980417324474242627477802523048714309582674536638074497130163619801798965320146415099607401576851742517326438986506525932816774022867596135335810065790433172317093610267612353791053155160345464606086931090319345232079730710273216340800088723117951259603759094888957660038804055478289870080722513367668930058888896844730578939204247498946971994408739457651450887807029079559069473549260427714855758065000180754145551537426231020416102116977715551051710017091987650918207873594897145972973074192737841556095644966167175021571726119665948249568234175863220657941873912016599153921293737816953645646971141050301364686976318115602834354618846595433334254431899850385582027484389031069082321983374369821465412808697380334163970003944832684677693349395331520786136300870277434839366676672462453391074119800762358122988710077338785957122691705407299229780709222434502815442170241934148458837607197138671369916493958369513289185675627017938797799015458626994951540025340169921495257929485894876426937789006966453307005083781273415693319463069491402211031241123359982109352274414407512246658217098872737464127231832119988252456349993170162848600092815160140598069645125743659170814271135847781579910627265391110575931776008967573181231957842848518617124331109722599016299909590735937817452787479615370286740674702844912696338303039433544699360101106243279297738703534461570631430337872937959722027835235820669119009078395377943403981333589404176930505224803112516393512894047892669534540507625589145833869890699372250690656967267574969710631023762305351680671895070256764393864233493154775963404225878252188979539601030078392352211853743934135620274969792443061000922649959687425634813696134521838730986574769640890880643523927455570310555872045526421294426472027870772544431129787026214413530352460983729684634061813098596752273107825183252711727628655873040793817459096021245111786741020821093154792823428668364963521945744772482630519547833734189387893284530841429651889925401340512285082069881042793733217349108177939115827426271427289016913164975888763372266511187506155426409872710685930395247985170962196397676723233340834149392070632212147914790413454181407439169131736616407675519023269881374116177260391975345883206988038437286938623647127680176227952734741260803872010650020306160250755094121065218591464639858995129354942029171901362268339037030227306146498681443909256305899015195899606276827706780972896060920526637908392412362168302307112572460946570245853844895416542374135805092791071870664681826071815629313480402518014696736001768739321883312968195502382851066059290813019083695812670179928986672992397967361629943569438732221902969570371335422613119308400816679617737682548933650456325500718998544030607561091651926694871363242908872974650307403253776440006126480393603034871790420767960932388677211804848815648402191147154878549390942075539111485180189796723833857024164744852347092066522199082003348157396169321984036147162126841434350987731716566692805855519827170060857341152527405015965864339480338828903183779784999602584270559649188281498626824691379090616670321993888782605175742656450063361913323059724575961388304910950545037660794097294091298359957208963050605505232364987974203957216271746378900137712014145115529352314102963095789721690540369240315946054246615959730149453113419534478212916795109554432451686667310556178679069849911549956643263063392399346928769840367657848185785142902122957710293190727746799283660114699329046453058302133895512425839260547493229079430714885927823598776668736004145288468476838189619936748690514561556577446993283325875418684359399644291506315229335783930282201405012492412328609518546480079102070387358188243121025149760804397621790401503640862584360574188358597615816461197297334219775873532034618331825863664397715690507674106163721670838421775832355784696384075636617775502307119208778315996370560656863714584860395362938850050174128420355532006883754160850554856780520517284666740732924932378907601979559849776279291225534316342719110812251322720644136248874512637362435021097228382079865768803491675042277452}
30716 2515503400028993635274808696260632664423337026524053671369520103500364537901523489215865: {92139,399139,429898,583243,614140,675466,736968,829089,1043698,1719368,1934289,2053483,2236939,2270098,2302725,2420323,2456240,2637706,2763270,2823388,2947488,3192488,3250066,3315924,3591549,4250203,4351306,4797763,4980139,5030044,5065005,5084746,5402672,6072883,6078006,6799939,7520765,8378098,8746365,9024918,9329456,9516139,9594898,10495638,10598083,10743950,10955973,12023698,12036643,12395563,12892740,13042825,13165581,13598986,13752256,13828363,14007139,14264805,14956712,15215792,15348500,15471288,15651390,16424648,16502443,16694816,16826301,17022405,17117766,17223946,17390203,17405199,17892008,18157232,18276163,18418200,18453139,18477729,18566845,18630043,18682293,18781668,18910666,19358792,19548893,19646080,20128509,20426886,20720475,21074698,21132988,21616005,21778641,21802003,21977539,22101840,22240825,22274698,22280214,22634386,22678963,23029243,23057072,23575296,24311026,24864570,25473139,25506706,25939206,26342539,26522208,26688990,26820106,27124365,27517269,27893266,27926990,28468256,28932656,29678986,29726013,29837484,30392266,30662539,31376433,32026788,32032348,32206723,32549238,32628405,33062083,33082742,33403723,33512388,34204444,34688901,34778098,34803632,36195826,36915272,37139698,37649923,38374568,38671306,38806405,38999203,39154086,39895700,40209681,41484333,41529681,41851123,42078226,42352243,43171389,44205992,44328265,45013939,45179683,46007323,46144805,46567686,46589249,47105098,47118248,47182588,47261060,47687698,47874840,48150763,48920245,49135939,49299883,49731741,50771068,51066496,51522826,51587539,51750403,52334098,52565746,53008029,53040533,53193918,53605101,53636668,53859195,54022939,54184723,54301066,55373766,56713272,56724466,57084523,57244939,57449808,58205923,58704294,58744232,58845139,58910986,59255698,59661921,59801803,59961805,60083805,60438139,61073323,61206346,61231939,61352661,61493308,61597949,62182123,62351626,62814139,63102589,63760003,63802431,64089392,64546243,64631034,65017123,65321866,65422805,65921150,66087261,66556070,67397369,67515800,68299365,68886728,68915923,69145958,69211605,70097098,71442268,71569426,71768433,71843765,71954166,72100566,72150748,72587146,72597189,72852656,72922939,73465653,73535083,73739705,73825712,74298643,74603563,74669768,75182098,75364603,75772190,75955275,75970186,76123843,76645066,76881283,77102044,77497569,77505617,77993098,78089443,78262205,78507366,78514108,78992539,79105380,79595453,79867284,80234698,81017746,81018960,81089683,81959238,81970365,81984139,82039228,82828029,83053926,83585098,83617243,84003489,84150844,84210616,84379072,85357393,86032906,86212518,86420224,86425225,86699146,86706021,87166982,87253906,87353189,87431205,87435056,87734923,87997070,88487646,88588913,88755523,88915786,89482363,89760902,90296645,90641563,90926628,90930643,91069365,91146330,91346698,92186733,92228746,93259952,93461150,93662539,93879826,93914646,94234363,94377139,94736943,94914638,94926456,95080100,95198098,95612853,96274088,96523005,97140656,97222752,97503109,97782163,97923139,98265106,98364438,98483698,98484581,98626939,98779940,99328939,99375249,...,11706735755508617000332262911251742123099358155884737526285350822561641170275390492758355882328582385487897258041180220079518180859982536577774404163511478638352914286254679832702019815584560080398402020785743860603334309619603904307035072616132292404660182275455916099738692438179150165051266196022449739376916711133596955442650623005872319243962723695636684666534490504138711665375090869883294705463074760371278785409951878529837084185481770425475378073947701766108097146786411086201925181853005057930527416732352854751893341851454803552627942137793143430446349330616702155056341119445870907173064851799106509884977923636688123422304592666519156756465667348535822271336244224838457557689066398167711966407978853688384739176598207337281249156962685413936057360720279864982250300387429542023921519229558954960975444470625986711363941216703784573071464374011804957111745695245429702698447980219622649411102365277613775989658479759788899225161034301394203003715098685649758475640415401418530686579732740518196909130396635479017848119596065409824511200133084676926889405638642333436490058206083217434805121083770051503395088333345267095868408806371248420457991613109186477176331710543619338604210323890641572283637097500271131218327306139346530624153175466573326577565025637981476377311810392345718959459611289106762334143467449250762532357589179498922374352351263794830986912810868024898730881940606725430468470456711575452047030464477173404251531928269893150001381647849775578373041226583546603623482975061554732198119213046070501245955005917249027016540024092997281179204451305416152259050015008693680086611179701143537184483065116008178935684037558110948844671063833651754223163255362901222688256410795708007054874740937554269933778513440526908196698523187940492427310038010254882242886894228842314640406683510449679960507625671910123539979194604237103316546861685039973164028411621611268369987325648309106196190847748179982378684524989755244272900139222740210897104467688615488756221406703771672369865940898086665863897664013451359771847936764272777925686496664583898524449864386103906726179181219423055430111012054267369044507454559150317049040151659364918946608055301692355947145506809406939583041752853731003678513617593066915105972000384106265395757837204668774590269341071839004301810761438383718750804836049058376035985450901362454565946535643458027521007842605385146590796350239732163945106338817378283469309401545117588528317780615901203430412454688664591501383974939531138452220544201782758096479862154461336320965285891183355465833808068289631941639708041806158816646694680539321620295528691475594526951092719647895128409661737774879067591442983809561190726188644031867667680111531231639732189235143002547445282918617158723945779321750601284081839926796262144477834888102010768427623104821564190599826023662266908673741139407140933525369747463833145058399766781259233139614809066028895592871977756443294596515084850011251224088105948318221872185620181272111158753697604924611513278534904822061174265890587963018824810482057655930407935470691520264341929102111891205808015975030459240376132641181597827887196959788492694032413043757852043402508555545340959219748022165863884458848522793849409415241560171459344091380789956862588618543252453460668858691419855368780767343124813561203707639186607805997022739107723443970220603777022045104002653108982824969452293253574276599088936219528625543719005269893480009488596951042444915354158098332854454355557003133919678962601225019426606523823400475684488251078497816045911341637477890042307044864363309461975461104880664660009189720590404552307685631151941398583015817707273223472603286720732317824086413113308667227770284695085750785536247117278520638099783298623005022236094253982976054220743190262151526481597574850039208783279740755091286011728791107523948796509220508243354775669677499403876405839473782422247940237037068635925005482990833173907763613984675095042869984589586863942082457366425817556491191145941136947539935813444575908257848547481961305935824407619568350206568021217673294028471154444643684582535810553860473919081369923939595224179670129301717319375192664331648677530000965834268018604774867324934964894595088599020393154760551486772278677714353184436565439786091620198925490172048993569679587453200843268638758890821239843619146072328891735398165003104006217932702715257284429905123035771842334866170489924988813128026539099466437259472844003675895423302107518738618492914277819720118653105581037282364681537724641206596432685602255461293876540861282537896423724691795946001329663810298051927497738795496596573535761511159245582506257632663748533677044576113454926663253460678813167473994555840985295571877290593044408275075261192630533298010325631241275832285170780775927000111099387398568361402969339774664418936838301474514078666218376984080966204373311768956043652531645842573119798653205237512563416178}
30717 2523226554701352332304130734421939964582468529089120082613949680220359624575174661504267: {122852,644847,767675,921210,982624,1013199,1105452,1504447,1565547,2149210,2579052,2793427,3070300,3405147,3529235,3684360,3929984,3956559,3990610,4144905,4235082,4421232,4727338,4788732,4875099,4973886,5738843,6287555,6526959,6753340,7545066,7627119,8104008,8163274,9117009,9785963,10372882,11661820,11994707,12033224,12567147,13087123,13313818,13537377,13994184,14371567,14392347,14607964,15120803,15655507,15743457,15887578,16115925,16224959,16938943,17139499,17190320,17554108,18035547,18695890,19019740,19185625,19339110,20174938,20398479,20530810,20628384,20868520,21554683,22148794,22365010,22435068,22696540,22823688,23022750,23206932,23477085,24198490,24299899,24557600,24636972,24720826,24909724,25042224,25316074,25676649,25835919,26416235,26684827,26838012,27235848,27627300,28172502,28365999,28821340,29005306,29038188,29068819,29469120,29706952,30453178,30640329,31433728,31612047,31699482,32300863,32684626,33152760,33412047,33420321,33577747,33951579,34585608,35154403,35362944,35508283,35585320,36165820,36466539,36689692,37296855,38027099,38260059,38571538,38680243,38908809,38993263,39634684,39783312,40033485,40040435,40230159,40847119,41122906,41228467,41835244,41839899,41890485,41950267,42234322,42702384,42755555,43398984,43504540,43722586,44518479,44683184,44756226,45158938,45588399,46144090,46251868,47006362,47968210,48040182,48048522,48743467,48823857,49193386,49624113,49869625,50082923,50268582,50482627,51306666,51401203,52167147,52205448,53612908,54293739,54739114,55257490,55312444,55372908,55648667,55709547,56078218,56100143,56544826,56636719,57561852,58006959,58731129,58897810,58978235,59076325,59843550,59975539,60275887,60623722,61715002,62090248,63117339,63463835,63541138,63746074,63833120,64597498,65336047,65772754,66113003,66308988,67045835,68688154,69777418,69851529,70657647,70677372,70773882,70891590,70925224,71067539,71473468,71531547,71812260,73430290,73684289,73831688,75617696,76156602,76423642,76505674,76599744,76866635,77284239,77894506,78272392,78501147,78848619,79549228,79790877,80097743,80111740,80455002,80706319,81451599,81602458,81803548,83060649,83642299,84239827,84394750,84998074,85069908,85086699,85432138,85950586,86079323,86108410,86174712,86700562,88056441,88116348,88366479,88883547,89276218,89302835,90088138,90188435,91065820,91809519,92239962,92282140,92952658,93022783,93337210,93527439,95691244,95938888,96134088,96285107,96377555,96779347,96796252,96946551,97954204,97982799,98142635,98881725,99062723,99834105,...,17560103633262925500498394366877613184649037233827106289428026233842461755413085739137533823492873578231845887061770330119277271289973804866661606245267217957529371429382019749053029723376840120597603031178615790905001464429405856460552608924198438606990273413183874149608038657268725247576899294033674609065375066700395433163975934508808478865944085543455026999801735756208067498062636304824942058194612140556918178114927817794755626278222655638213067110921552649162145720179616629302887772779507586895791125098529282127840012777182205328941913206689715145669523995925053232584511679168806360759597277698659764827466885455032185133456888999778735134698501022803733407004366337257686336533599597251567949611968280532577108764897311005921873735444028120904086041080419797473375450581144313035882278844338432441463166705938980067045911825055676859607196561017707435667618542868144554047671970329433974116653547916420663984487719639683348837741551452091304505572648028474637713460623102127796029869599110777295363695594953218526772179394098114736766800199627015390334108457963500154735087309124826152207681625655077255092632500017900643802613209556872630686987419663779715764497565815429007906315485835962358425455646250406696827490959209019795936229763199859989866347538456972214565967715588518578439189416933660143501215201173876143798536383769248383561528526895692246480369216302037348096322910910088145702705685067363178070545696715760106377297892404839725002072471774663367559561839875319905435224462592332098297178819569105751868932508875873540524810036139495921768806676958124228388575022513040520129916769551715305776724597674012268403526056337166423267006595750477631334744883044351834032384616193562010582312111406331404900667770160790362295047784781910738640965057015382323364330341343263471960610025265674519940761438507865185309968791906355654974820292527559959746042617432416902554980988472463659294286271622269973568026787484632866409350208834110316345656701532923233134332110055657508554798911347129998795846496020177039657771905146409166888529744996875847786674796579155860089268771829134583145166518081401053566761181838725475573560227489047378419912082952538533920718260214110409374562629280596505517770426389600372658958000576159398093636755807003161885404011607758506452716142157575578126207254073587564053978176352043681848919803465187041281511763908077719886194525359598245917659508226067425203964102317676382792476670923851805145618682032996887252075962409296707678330816302674137144719793231692004481447928836775033198750712102434447912459562062709238224970042020808982430443293037213391790426639079471842692614492606662318601387164475714341786089282966047801501520167296847459598283852714503821167924377925738085918668982625901926122759890194393216716752332153016152641434657232346285899739035493400363010611709110711400288054621195749717587599650171888849709422213599043343389307966634664941894772627275016876836132158922477332808278430271908166738130546407386917269917802357233091761398835881944528237215723086483895611903206037280396512893653167836808712023962545688860564198961772396741830795439682739041048619565636778065103762833318011438829622033248795826688272784190774114122862340257189016137071184935293882927814878680191003288037129783053171151014687220341805561458779911708995534108661585165955330905665533067656003979663474237454178439880361414898633404329292938315578507904840220014232895426563667373031237147499281681533335504700879518443901837529139909785735100713526732376617746724068867012456216835063460567296544964192963191657320996990013784580885606828461528446727912097874523726560909835208904930081098476736129619669963000841655427042628626178304370675917780957149674947934507533354141380974464081331114785393227289722396362275058813174919611132636929017593186661285923194763830762365032163504516249105814608759210673633371910355555602953887508224486249760861645420977012642564304976884380295913123686049638726334736786718911705421309903720166863862386772821222941958903736611429352525309852031826509941042706731666965526873803715830790710878622054885909392836269505193952575979062788996497473016295001448751402027907162300987402447341892632898530589732140827230158418016571529776654848159679137430298388235258073490354519381179801264902958138336231859765428719108493337603097247504656009326899054072885926644857684553657763502299255734887483219692039808649199655889209266005513843134953161278107927739371416729580177979658371555923547022306586961809894649028403383191940814811291923806844635587037693919001994495715447077891246608193244894860303642266738868373759386448995622800515566864170182389994880191018219751210991833761477943357815935889566612412612891788945799947015488446861913748427756171163890500166649081097852542104454009661996628405257452211771117999327565476121449306559967653434065478797468763859679697979807856268845124267}
30718 2530973284485444686248896020425560742201298200635522913574169042428402619974387844336211: {153565,184278,337777,798278,859796,889981,1166486,1228280,1257757,1350932,1381815,1441537,1473936,1658178,2087396,3223815,3438736,3837875,3868578,4106966,4473878,4540196,4605450,4840646,4912480,5275412,5466481,5526540,5646776,5894976,5985915,6352623,6384976,6500132,6631848,6921457,7091007,7183098,7460829,7647217,8190781,8441675,8500406,8702612,9595526,9960278,10060088,10130010,10169492,10529071,10805344,11317599,12145766,12156012,12244911,13590781,13599878,14577275,15041530,15559323,15732637,16756196,16799677,17492730,18041281,18049836,18259955,18658912,19032278,19189796,19455937,19808881,19970727,20991276,21196166,21487900,21911946,21942635,23774675,23831367,23847037,24047396,24073286,24791126,25068481,25785480,25993583,26085650,26286397,26331162,27197972,27504512,27656726,27673981,28014278,28043835,28370675,28529610,29008665,29056957,29913424,30262407,30431584,30697000,30796215,30942576,31122781,31137155,31302780,32849296,33004886,33223191,33389632,33547515,33652602,34031617,34044810,34235532,34447892,34534125,34780406,34810398,34883197,35053297,35784016,35902717,36026675,36297735,36314464,36552326,36836400,36906278,36955458,37081239,37133690,37260086,37364586,37563336,37821332,37933981,37974111,38440177,38717584,38777281,39097786,39292160,40257018,40853772,41440950,42149396,42258753,42265976,43232010,43466497,43507959,43557282,43604006,43955078,44131777,44203680,44481650,44549396,44560428,45207275,45268772,45357926,45679767,45789937,45862115,46058486,46114144,47150592,47549223,48622052,49026939,49248637,49543355,49576381,49729140,50946278,51013412,51878412,52294055,52685078,53044416,53324737,53377980,53640212,54248730,54328967,54380675,54781117,55034538,55786532,55853980,56936512,57814835,57857307,57865312,59274781,59357972,59452026,59674968,59752897,60071281,60389377,60784532,61325078,61684359,62059571,62752866,63351483,64053576,64064696,64413446,64602727,65098476,65256810,65583879,65596381,66124166,66165484,66807446,67016135,67024776,67134339,67738407,67937281,68248177,68408888,68488343,69024157,69140555,69216135,69377802,69556196,69607264,70509543,70526423,71952315,72060273,72072783,72391652,73336381,73642237,73790079,73830544,74279396,74575787,75299846,75319297,75402873,75623281,76749136,76959999,77342612,77592157,77612810,77998406,78195517,78308172,79791400,80419362,80896381,81344257,81642481,82108671,82386781,82886235,82968666,83059362,83702246,83946527,84117327,84156452,84704486,84817239,86342778,86521597,87254017,87838657,88276381,88346715,88411984,88656530,89341835,89765325,90027878,90359366,90935583,91591927,92014646,92289610,92572503,92617981,93135372,93178498,94210196,94236496,94365176,94522120,95311707,95375396,95619111,95749680,95902657,96186481,96301526,96896247,97840490,98271878,98599766,98659131,99008881,99436535,99463482,99989917,...,23413471511017234000664525822503484246198716311769475052570701645123282340550780985516711764657164770975794516082360440159036361719965073155548808327022957276705828572509359665404039631169120160796804041571487721206668619239207808614070145232264584809320364550911832199477384876358300330102532392044899478753833422267193910885301246011744638487925447391273369333068981008277423330750181739766589410926149520742557570819903757059674168370963540850950756147895403532216194293572822172403850363706010115861054833464705709503786683702909607105255884275586286860892698661233404310112682238891741814346129703598213019769955847273376246844609185333038313512931334697071644542672488449676915115378132796335423932815957707376769478353196414674562498313925370827872114721440559729964500600774859084047843038459117909921950888941251973422727882433407569146142928748023609914223491390490859405396895960439245298822204730555227551979316959519577798450322068602788406007430197371299516951280830802837061373159465481036393818260793270958035696239192130819649022400266169353853778811277284666872980116412166434869610242167540103006790176666690534191736817612742496840915983226218372954352663421087238677208420647781283144567274195000542262436654612278693061248306350933146653155130051275962952754623620784691437918919222578213524668286934898501525064715178358997844748704702527589661973825621736049797461763881213450860936940913423150904094060928954346808503063856539786300002763295699551156746082453167093207246965950123109464396238426092141002491910011834498054033080048185994562358408902610832304518100030017387360173222359402287074368966130232016357871368075116221897689342127667303508446326510725802445376512821591416014109749481875108539867557026881053816393397046375880984854620076020509764485773788457684629280813367020899359921015251343820247079958389208474206633093723370079946328056823243222536739974651296618212392381695496359964757369049979510488545800278445480421794208935377230977512442813407543344739731881796173331727795328026902719543695873528545555851372993329167797048899728772207813452358362438846110860222024108534738089014909118300634098080303318729837893216110603384711894291013618813879166083505707462007357027235186133830211944000768212530791515674409337549180538682143678008603621522876767437501609672098116752071970901802724909131893071286916055042015685210770293181592700479464327890212677634756566938618803090235177056635561231802406860824909377329183002767949879062276904441088403565516192959724308922672641930571782366710931667616136579263883279416083612317633293389361078643240591057382951189053902185439295790256819323475549758135182885967619122381452377288063735335360223062463279464378470286005094890565837234317447891558643501202568163679853592524288955669776204021536855246209643128381199652047324533817347482278814281867050739494927666290116799533562518466279229618132057791185743955512886589193030169700022502448176211896636443744371240362544222317507395209849223026557069809644122348531781175926037649620964115311860815870941383040528683858204223782411616031950060918480752265282363195655774393919576985388064826087515704086805017111090681918439496044331727768917697045587698818830483120342918688182761579913725177237086504906921337717382839710737561534686249627122407415278373215611994045478215446887940441207554044090208005306217965649938904586507148553198177872439057251087438010539786960018977193902084889830708316196665708908711114006267839357925202450038853213047646800951368976502156995632091822683274955780084614089728726618923950922209761329320018379441180809104615371262303882797166031635414546446945206573441464635648172826226617334455540569390171501571072494234557041276199566597246010044472188507965952108441486380524303052963195149700078417566559481510182572023457582215047897593018441016486709551339354998807752811678947564844495880474074137271850010965981666347815527227969350190085739969179173727884164914732851635112982382291882273895079871626889151816515697094963922611871648815239136700413136042435346588056942308889287369165071621107720947838162739847879190448359340258603434638750385328663297355060001931668536037209549734649869929789190177198040786309521102973544557355428706368873130879572183240397850980344097987139359174906401686537277517781642479687238292144657783470796330006208012435865405430514568859810246071543684669732340979849977626256053078198932874518945688007351790846604215037477236985828555639440237306211162074564729363075449282413192865371204510922587753081722565075792847449383591892002659327620596103854995477590993193147071523022318491165012515265327497067354089152226909853326506921357626334947989111681970591143754581186088816550150522385261066596020651262482551664570341561551854000222198774797136722805938679549328837873676602949028157332436753968161932408746623537912087305063291685146239597306410475025126832356}
30719 2538743660929680425027012911000391712900152971178327740910390879619663181185550541125963: {245704,276417,1074745,1197417,1289694,1535350,1688665,1749729,1842420,1965248,2026398,2210904,2487267,2609245,3008894,3131094,3714337,4298420,4940929,5158104,5586854,5675245,5802867,6140600,6160449,6414001,6594265,6710817,6782269,6810294,6908175,7058470,7260969,7368720,7859968,7913118,7981220,8125165,8289810,8470164,8802577,8842464,9454676,9577464,9750198,9947772,10460857,10774647,10878265,11477686,11565229,12483097,12575110,12711865,12750609,13053918,13405849,13506680,14393289,14940417,15090132,15195015,15254238,15851737,16163617,16208016,16326548,16899721,18218649,18234018,19571926,19891201,20399817,20745764,20945245,21370717,22562295,23323640,23927497,23987245,23989414,24066448,25134294,25785901,26174246,26239095,26627636,26859875,27074754,27614749,27988368,28548417,28743134,28784694,29215928,30059245,30241606,30734929,31311014,31486914,31775156,31794249,32231850,32449918,32867919,33131569,33877886,33997465,34278998,34380640,35108216,36071094,36109929,36441661,36971617,36982729,37186689,37353817,37391780,38039480,38371250,38678220,39128475,39496743,40349876,40796958,41061620,41256768,41485089,41574409,41737040,41766409,42021417,42794415,43059865,43109366,44061457,44297588,44730020,44870136,44941117,45393080,45647376,46045500,46413864,46954170,47089069,47276665,48396980,48599798,49115200,49273944,49441652,49507329,49819448,50084448,50086201,50478903,50632148,50755177,51067215,51353298,51500797,51671838,52170609,52215597,52409641,52686745,52832470,53369654,53676024,54471696,54828489,55254600,55359417,55433187,55686745,55700535,55890129,56046879,56056609,56345004,56585965,56688829,56731998,57642680,58010612,58076376,58137638,58646679,58938240,59025937,59188909,59413904,59857777,60111601,60385527,60777565,60906356,61280658,62161425,62195569,62867456,63224094,63398964,63766765,64116217,64601726,64848015,65335923,65369252,65406009,65932617,66300169,66305520,66722475,66784201,66824094,66840642,67050265,67155494,67903158,68036889,69087729,69171216,69733165,69817475,70308806,70725888,70783537,71016566,71170640,72331640,72474817,72933078,73379384,74197465,74593710,75980665,76054198,76419417,76520118,77143076,77360486,77390749,77817618,77986526,78133549,79027617,79269368,79566624,80066970,80080870,80103001,80460318,80768017,81373095,81694238,82245812,82456934,82551807,82569529,82706855,83670488,83679798,83780970,83900534,84468644,84623569,85404768,85511110,86058109,86797968,86945245,87009080,87445172,88849369,89036958,89178039,89366368,89512452,89785789,90317876,90489565,91176798,91987617,92288180,92503736,92723257,92849245,93864169,94012724,94049857,94129299,94660969,95936420,96080364,96097044,96291409,96620169,96678265,97486934,97647714,97690729,97885215,98386772,99186249,99248226,99739250,...,35120207266525851000996788733755226369298074467654212578856052467684923510826171478275067646985747156463691774123540660238554542579947609733323212490534435915058742858764039498106059446753680241195206062357231581810002928858811712921105217848396877213980546826367748299216077314537450495153798588067349218130750133400790866327951869017616957731888171086910053999603471512416134996125272609649884116389224281113836356229855635589511252556445311276426134221843105298324291440359233258605775545559015173791582250197058564255680025554364410657883826413379430291339047991850106465169023358337612721519194555397319529654933770910064370266913777999557470269397002045607466814008732674515372673067199194503135899223936561065154217529794622011843747470888056241808172082160839594946750901162288626071764557688676864882926333411877960134091823650111353719214393122035414871335237085736289108095343940658867948233307095832841327968975439279366697675483102904182609011145296056949275426921246204255592059739198221554590727391189906437053544358788196229473533600399254030780668216915927000309470174618249652304415363251310154510185265000035801287605226419113745261373974839327559431528995131630858015812630971671924716850911292500813393654981918418039591872459526399719979732695076913944429131935431177037156878378833867320287002430402347752287597072767538496767123057053791384492960738432604074696192645821820176291405411370134726356141091393431520212754595784809679450004144943549326735119123679750639810870448925184664196594357639138211503737865017751747081049620072278991843537613353916248456777150045026081040259833539103430611553449195348024536807052112674332846534013191500955262669489766088703668064769232387124021164624222812662809801335540321580724590095569563821477281930114030764646728660682686526943921220050531349039881522877015730370619937583812711309949640585055119919492085234864833805109961976944927318588572543244539947136053574969265732818700417668220632691313403065846466268664220111315017109597822694259997591692992040354079315543810292818333777059489993751695573349593158311720178537543658269166290333036162802107133522363677450951147120454978094756839824165905077067841436520428220818749125258561193011035540852779200745317916001152318796187273511614006323770808023215517012905432284315151156252414508147175128107956352704087363697839606930374082563023527816155439772389050719196491835319016452134850407928204635352765584953341847703610291237364065993774504151924818593415356661632605348274289439586463384008962895857673550066397501424204868895824919124125418476449940084041617964860886586074426783580853278158943685385228985213324637202774328951428683572178565932095603003040334593694919196567705429007642335848755851476171837337965251803852245519780388786433433504664306032305282869314464692571799478070986800726021223418221422800576109242391499435175199300343777699418844427198086686778615933269329883789545254550033753672264317844954665616556860543816333476261092814773834539835604714466183522797671763889056474431446172967791223806412074560793025787306335673617424047925091377721128397923544793483661590879365478082097239131273556130207525666636022877659244066497591653376545568381548228245724680514378032274142369870587765855629757360382006576074259566106342302029374440683611122917559823417991068217323170331910661811331066135312007959326948474908356879760722829797266808658585876631157015809680440028465790853127334746062474294998563363066671009401759036887803675058279819571470201427053464753235493448137734024912433670126921134593089928385926383314641993980027569161771213656923056893455824195749047453121819670417809860162196953472259239339926001683310854085257252356608741351835561914299349895869015066708282761948928162662229570786454579444792724550117626349839222265273858035186373322571846389527661524730064327009032498211629217518421347266743820711111205907775016448972499521723290841954025285128609953768760591826247372099277452669473573437823410842619807440333727724773545642445883917807473222858705050619704063653019882085413463333931053747607431661581421757244109771818785672539010387905151958125577992994946032590002897502804055814324601974804894683785265797061179464281654460316836033143059553309696319358274860596776470516146980709038762359602529805916276672463719530857438216986675206194495009312018653798108145771853289715369107315527004598511469774966439384079617298399311778418532011027686269906322556215855478742833459160355959316743111847094044613173923619789298056806766383881629622583847613689271174075387838003988991430894155782493216386489789720607284533477736747518772897991245601031133728340364779989760382036439502421983667522955886715631871779133224825225783577891599894030976893723827496855512342327781000333298162195705084208908019323993256810514904423542235998655130952242898613119935306868130957594937527719359395959615712537690248534}
30720 2546537755798358753460927060051503633565319741949535075146375885559007390956325475214249: {214991,307130,368556,399191,521951,675554,706031,951359,1319111,1596556,1719592,1779962,1808999,1934541,2176079,2303025,2332972,2456560,2515514,2542871,2701864,2726159,2763630,2883074,2947872,3039597,3316356,3885311,4174792,4513341,4696641,4980791,5102351,5373025,5527559,5831039,6437399,6447630,6800831,6877472,6921911,6982439,7647719,7675750,7737156,8213932,8251679,8380281,8915111,8947756,9080392,9210900,9637751,9681292,9824960,9976525,10058759,10215441,10550824,10587705,10719551,10932962,11053080,11293552,11319431,11499239,11789952,11818345,11869677,11971830,12038231,12157919,12434715,12705246,12769952,13000264,13263696,13591679,13842914,13949399,14128151,14182014,14366196,14485439,14625297,14921658,15294434,15377399,15793031,16381562,16883350,17000812,17216529,17405224,17688071,18101519,18278591,18573551,18862665,18986159,19191052,19580877,19868999,19920556,20120176,20221631,20260020,20338984,20408185,20750039,21058142,21277799,21610688,22635198,22798799,22881357,23149031,24291532,24312024,24489822,25070159,25476551,25563937,25592591,25932205,26346071,26461871,27181562,27199756,27351027,28771151,29154550,29357889,29633831,30083060,30719689,31118646,31124879,31182119,31465274,32211071,32325239,32838599,33284545,33512392,33599354,34033919,34090751,34985460,35225711,35984121,36082562,36099672,36470471,36519910,37317824,37598711,37701441,37767671,37992839,38064556,38161631,38379592,38779919,38836079,38911874,39261369,39617762,39718945,39941454,40293431,40517159,40612131,41299199,41689631,41968271,41982552,42392332,42469319,42975800,43114701,43177041,43524959,43592017,43802279,43823892,43885270,44134799,45296351,45362409,45682751,46123871,46509431,46739725,46966521,47114519,47230371,47549350,47662734,47694074,48094792,48146572,48157391,48347775,48674877,49142711,49252031,49306679,49582252,50136962,50437345,50452439,50816829,50942399,51327025,51418497,51570960,51703271,51987166,52171300,52354199,52572794,52662324,53706599,54106641,54138311,54395944,54946391,55009024,55107791,55313452,55347962,55371985,55591559,55912525,56028556,56074679,56087670,56741350,57059220,57359831,57556875,57893951,58017330,58113914,59119391,59810159,59826848,60075479,60446591,60496225,60524814,60863168,60870239,61187639,61195437,61394000,61592430,61715999,61802065,61885152,62190839,62245562,62274310,62605560,62822951,62928191,63290185,63296279,63873911,64206961,64660031,64664049,64869359,65026271,65600999,65653199,65698592,66009772,66226871,66446382,66779264,67095030,67215479,67305204,68063234,68089620,68252999,68471064,68563631,68895784,68925671,69029039,69068250,69360697,69560812,69620796,69766394,70106594,70431255,71551559,71568032,71805434,72012791,72053350,72513265,72595470,72628928,72899697,73104652,73211677,73341599,73647479,73672800,73812556,73910916,73953071,74162478,74267380,74520172,74715791,74729172,75126672,75375359,75476711,75642664,75867962,75948222,76132945,76134719,76880354,76993151,77029947,77345951,77435168,77507757,77554562,77597711,78195572,78201119,78251351,78584320,78652919,79104071,79248705,80054481,80514036,80603231,80752751,80940769,81101351,81350111,81707544,81711565,81995951,82095191,82392719,82442279,82881900,83349409,83629319,83728031,84298792,84517506,84531952,84811751,85097997,85352159,85842599,86464020,86527871,86932994,87015918,87114564,87206457,87208012,87309119,87601559,87845039,87910156,88135021,88263554,88407360,88963300,89098792,89120856,89785679,90414550,90537544,90715852,90799391,91040231,91359534,91579874,91724230,91905599,91920987,92116972,92228288,92672639,93822589,94057679,94301184,94343399,94486151,94836141,95098446,95957039,96240839,96428845,96796777,96902589,97244104,97467311,97937591,98031551,98053878,98497274,98641511,99016199,99086710,99152762,99437111,99458280,...,52680310899788776501495183100632839553947111701481318868284078701527385266239257217412601470478620734695537661185310990357831813869921414599984818735801653872588114288146059247159089170130520361792809093535847372715004393288217569381657826772595315820970820239551622448824115971806175742730697882101023827196125200101186299491927803526425436597832256630365080999405207268624202494187908914474826174583836421670754534344783453384266878834667966914639201332764657947486437160538849887908663318338522760687373375295587846383520038331546615986825739620069145437008571987775159697753535037506419082278791833095979294482400656365096555400370666999336205404095503068411200221013099011773059009600798791754703848835904841597731326294691933017765621206332084362712258123241259392420126351743432939107646836533015297324389500117816940201137735475167030578821589683053122307002855628604433662143015910988301922349960643749261991953463158919050046513224654356273913516717944085423913140381869306383388089608797332331886091086784859655580316538182294344210300400598881046171002325373890500464205261927374478456623044876965231765277897500053701931407839628670617892060962258991339147293492697446287023718946457507887075276366938751220090482472877627059387808689289599579969599042615370916643697903146765555735317568250800980430503645603521628431395609151307745150684585580687076739441107648906112044288968732730264437108117055202089534211637090147280319131893677214519175006217415323990102678685519625959716305673387776996294891536458707317255606797526627620621574430108418487765306420030874372685165725067539121560389750308655145917330173793022036805210578169011499269801019787251432894004234649133055502097153848580686031746936334218994214702003310482371086885143354345732215922895171046146970092991024029790415881830075797023559822284315523595555929906375719066964924460877582679879238127852297250707664942965417390977882858814866809920704080362453898599228050626502330949036970104598769699402996330166972525664396734041389996387539488060531118973315715439227500665589234990627543360024389737467580267806315487403749435499554244203160700283545516176426720680682467142135259736248857615601762154780642331228123687887841789516553311279168801117976874001728478194280910267421009485656212034823275519358148426472726734378621762220762692161934529056131045546759410395561123844535291724233159658583576078794737752978524678202275611892306953029148377430012771555415436856046098990661756227887227890123034992448908022411434159379695076013444343786510325099596252136307303343737378686188127714674910126062426947291329879111640175371279917238415528077843477819986955804161493427143025358267848898143404504560501890542378794851558143511463503773133777214257756006947877705778368279670583179650150256996459048457924303971697038857699217106480201089031835127332134200864163863587249152762798950515666549128266640797130030167923899903994825684317881825050630508396476767431998424835290815724500214391639222160751809753407071699275284196507645833584711647169259451686835709618111841189538680959503510426136071887637066581692596885317190225492386319048217123145858696910334195311288499954034316488866099746387480064818352572322342368587020771567048411213554805881648783444636040573009864111389349159513453044061661025416684376339735126986602325984755497865992716996599202968011938990422712362535319641084244695900212987878814946735523714520660042698686279691002119093711442497845044600006514102638555331705512587419729357205302140580197129853240172206601037368650505190381701889634892578889574971962990970041353742656820485384585340183736293623571179682729505626714790243295430208388859009889002524966281127885878534913112027753342871449024843803522600062424142923392243993344356179681869167189086825176439524758833397910787052779559983857769584291492287095096490513548747317443826277632020900115731066666808861662524673458749282584936262931037927692914930653140887739371058148916179004210360156735116263929711160500591587160318463668825876711209834288057575929556095479529823128120195000896580621411147492372132635866164657728178508808515581857727937188366989492419048885004346254206083721486902962207342025677898695591769196422481690475254049714589329964544479037412290895164705774220471063558143539403794708874415008695579296286157325480012809291742513968027980697162218657779934573053660973290506897767204662449659076119425947598967667627798016541529404859483834323783218114250188740533938975114667770641066919760885429683947085210149575822444433875771420533906761113081757005983487146341233673739824579734684580910926800216605121278159346986868401546700592510547169984640573054659253632975501284433830073447807668699837237838675366837399841046465340585741245283268513491671500499947243293557626313362028985989885215772356635313353997982696428364347919679902960302196436392406291579039093939423568806535372801}
30721 2554355641072316012211147422068592057149774158459535345551524403262385394314970520024055: {460695,491408,552834,1013331,1504643,1995695,2149490,2364131,2394834,2579388,2669943,2916215,3070700,3377330,3499458,3652943,3684840,3773271,3930496,4052796,4145445,4324611,4389671,4421808,4974534,5218490,6017788,6262188,7428674,7580183,7945343,8596840,9231971,9671445,9881858,10267415,10316208,11173708,11184695,11350490,11375231,11513625,11605734,12101615,12281200,12320898,12362831,12828002,13188530,13421634,13564538,13620588,13816350,14116940,14521938,14737440,14752751,15229571,15719936,15826236,15962440,16250330,16399443,16579620,16940328,17605154,17684928,17796611,17957745,18065219,18733871,18909352,19057869,19154928,19500396,19895544,20565479,20764371,20921714,21251015,21273021,21549294,21756530,22382487,22413191,22583891,22941651,22955372,23130458,23507783,23884919,23988815,24572343,24601511,24900695,24966194,25150220,25325025,25423730,25501218,26092511,26107836,26618339,26811698,27013360,27564239,28277951,28786578,29323343,29880834,30180264,30364415,30390030,30508476,30863543,31587213,31703474,31776791,32327234,32416032,32653096,33582143,33799442,33952797,33999695,34350803,34895543,36437298,36468036,36734733,37603825,38013071,38219303,38954879,39143852,39782402,40772343,40799634,41321219,41491528,41890490,42082943,42741434,42983711,43731825,44646851,45124590,46485431,46647280,46677969,47197911,47202371,47580695,47596451,47854994,47974490,47978828,48132896,50268588,50336591,50399031,50758499,51571802,52072631,52348492,52478190,52765031,52990415,53255272,53277743,53719750,54013031,54123843,54149508,54186239,54779865,55229498,55976736,56024099,57096834,57486268,57569388,58367811,58431856,59192783,59426643,59912181,59983391,60067391,60118490,60183215,60283811,60483212,60783239,61469858,61905251,61977815,62622028,62973828,63358103,63550312,63588498,64463700,64787591,64899836,65214125,65735838,65827905,66015743,66187331,66263138,67755772,67994930,68557996,68761280,69141815,70035695,70216432,71040983,71324025,71494101,71541111,72142188,72219858,72883322,73761443,73943234,73965458,74373378,74707634,74783560,75205443,75773711,76078960,76742500,77356440,77961443,77980749,78256950,78429551,78859191,78926783,78993486,79220351,80699752,80773319,81593916,82123240,82512215,82513536,82970178,83021943,83148818,83474080,83532818,83653271,84042834,84131505,85088591,85112025,85588830,86119730,86218732,86495543,86951015,87025995,87170871,88122914,88595176,89273471,89460040,89740272,89882234,90786160,90787221,91294752,91380815,91993151,92091000,92265695,92388645,92827728,92834225,93150215,93368343,93411465,93870371,93908340,94178138,94553330,94579283,94667183,94719251,95453111,96793960,97199596,97626431,97697123,97744465,98230400,98547888,98883304,99014658,99638896,99669573,...,70240414533051702001993577467510452738596148935308425157712104935369847021652342956550135293971494312927383548247081320477109085159895219466646424981068871830117485717528078996212118893507360482390412124714463163620005857717623425842210435696793754427961093652735496598432154629074900990307597176134698436261500266801581732655903738035233915463776342173820107999206943024832269992250545219299768232778448562227672712459711271179022505112890622552852268443686210596648582880718466517211551091118030347583164500394117128511360051108728821315767652826758860582678095983700212930338046716675225443038389110794639059309867541820128740533827555999114940538794004091214933628017465349030745346134398389006271798447873122130308435059589244023687494941776112483616344164321679189893501802324577252143529115377353729765852666823755920268183647300222707438428786244070829742670474171472578216190687881317735896466614191665682655937950878558733395350966205808365218022290592113898550853842492408511184119478396443109181454782379812874107088717576392458947067200798508061561336433831854000618940349236499304608830726502620309020370530000071602575210452838227490522747949678655118863057990263261716031625261943343849433701822585001626787309963836836079183744919052799439959465390153827888858263870862354074313756757667734640574004860804695504575194145535076993534246114107582768985921476865208149392385291643640352582810822740269452712282182786863040425509191569619358900008289887098653470238247359501279621740897850369328393188715278276423007475730035503494162099240144557983687075226707832496913554300090052162080519667078206861223106898390696049073614104225348665693068026383001910525338979532177407336129538464774248042329248445625325619602671080643161449180191139127642954563860228061529293457321365373053887842440101062698079763045754031460741239875167625422619899281170110239838984170469729667610219923953889854637177145086489079894272107149938531465637400835336441265382626806131692932537328440222630034219195645388519995183385984080708158631087620585636667554118979987503391146699186316623440357075087316538332580666072325604214267044727354901902294240909956189513679648331810154135682873040856441637498250517122386022071081705558401490635832002304637592374547023228012647541616046431034025810864568630302312504829016294350256215912705408174727395679213860748165126047055632310879544778101438392983670638032904269700815856409270705531169906683695407220582474728131987549008303849637186830713323265210696548578879172926768017925791715347100132795002848409737791649838248250836952899880168083235929721773172148853567161706556317887370770457970426649274405548657902857367144357131864191206006080669187389838393135410858015284671697511702952343674675930503607704491039560777572866867009328612064610565738628929385143598956141973601452042446836442845601152218484782998870350398600687555398837688854396173373557231866538659767579090509100067507344528635689909331233113721087632666952522185629547669079671209428932367045595343527778112948862892345935582447612824149121586051574612671347234848095850182755442256795847089586967323181758730956164194478262547112260415051333272045755318488132995183306753091136763096456491449361028756064548284739741175531711259514720764013152148519132212684604058748881367222245835119646835982136434646340663821323622662132270624015918653896949816713759521445659594533617317171753262314031619360880056931581706254669492124948589997126726133342018803518073775607350116559639142940402854106929506470986896275468049824867340253842269186179856771852766629283987960055138323542427313846113786911648391498094906243639340835619720324393906944518478679852003366621708170514504713217482703671123828598699791738030133416565523897856325324459141572909158889585449100235252699678444530547716070372746645143692779055323049460128654018064996423258435036842694533487641422222411815550032897944999043446581683908050570257219907537521183652494744198554905338947146875646821685239614880667455449547091284891767835614946445717410101239408127306039764170826926667862107495214863323162843514488219543637571345078020775810303916251155985989892065180005795005608111628649203949609789367570531594122358928563308920633672066286119106619392638716549721193552941032293961418077524719205059611832553344927439061714876433973350412388990018624037307596216291543706579430738214631054009197022939549932878768159234596798623556837064022055372539812645112431710957485666918320711918633486223694188089226347847239578596113613532767763259245167695227378542348150775676007977982861788311564986432772979579441214569066955473495037545795982491202062267456680729559979520764072879004843967335045911773431263743558266449650451567155783199788061953787447654993711024684655562000666596324391410168417816038647986513621029808847084471997310261904485797226239870613736261915189875055438718791919231425075380497068}
30722 2562197388949575268423869499042632540319383767344431796191455471049031373742769819648068: {429982,583357,614260,737112,798382,829251,1043902,1351108,1412062,1870321,1902718,2237377,2420797,2638222,3193112,3224235,3439184,3559924,3592251,3617998,3838375,3869082,4352158,4606050,4665944,4913120,4981117,5031028,5065995,5085742,5249187,5403728,5452318,5527260,5766148,5892097,5895744,6079194,6632712,6982897,7461801,7522235,7770622,7827735,8349584,9026682,9393282,9961582,10059421,10204702,10746050,11055118,11143011,11662078,12398017,12874798,12895260,13601662,13754944,13843822,13964878,13967135,14009917,14822787,15081277,15295438,15351500,15474312,16327921,16427864,16503358,16545683,16760562,17025735,17408601,17646175,17830222,17895512,18160784,18421800,18456817,18481347,18633757,18987421,19242003,19275502,19362584,19649920,19782795,19953050,20117518,20132451,20346807,20430882,20724525,21101648,21175410,21279217,21439102,21782907,21865924,21981937,22106160,22157437,22587104,22638862,22998478,23579904,23636690,23739354,23943660,24076462,24315838,24375495,24869430,25410492,25539904,25652317,26000528,26407731,26527392,27183358,27388957,27685828,27898798,28256302,28364028,28571459,28694215,28732392,28970878,29250594,29843316,30588868,30754798,30840637,31184221,31382571,31437775,31586062,32323941,32384497,32634795,32763124,33239677,33766700,34001624,34093057,34433058,34695687,34810448,35376142,36203038,36305087,36557182,36811777,37147102,37449291,37657597,37725330,37972318,38135595,38251827,38382104,38838721,39161754,39737998,39841112,40217547,40240352,40443262,40520040,40677968,40816370,40847059,41500078,42116284,42527857,42555598,43028221,43179867,43221376,44691421,44821251,45023197,45188977,45270396,45585045,45597598,45762714,46298062,46598363,47172721,47555211,48325117,48490851,48583064,48624048,48929815,48979644,49310077,50140318,50699163,50953102,51127874,51185182,51761137,51864410,52086721,52692142,52923742,54195997,54363124,54399512,54655947,54702054,55606523,55649137,56132221,57256897,57417277,57542302,57737821,58309100,58715778,58857457,59267662,59673603,59973535,60166120,60927421,61199451,61244797,61439378,62237292,62249758,62364238,62835735,62930548,64112151,64422142,64650478,65187697,65435615,65657821,65677198,66569090,67024784,67198708,67220221,67686885,68067838,68181502,69970920,70451422,70612283,70632157,71094721,71556637,71782491,71857835,71961735,71968242,72165124,72199344,72940942,73039820,74635648,74924221,75197422,75402882,75535342,75604015,75985678,76129112,76323262,76759184,77357703,77520779,77559838,77672158,77823748,78256957,78277535,78522738,78717285,79235524,79437890,79882908,80579625,80586862,81034318,81124795,81224262,82448221,82598398,82844247,83379262,83936542,83965104,84374977,84694715,84784664,84938638,85374091,85645251,85697495,85951600,86229402,86354082,86522891,87049918,87184034,87604558,87607921,87647784,87770540,88269598,88606259,90177735,90592702,90724818,90806017,91365502,91960321,92204787,92247742,93018862,93479450,93933042,94229038,94397917,94460742,94540657,95098700,95325468,95382747,95388148,95537821,95928125,96189584,96293144,96314782,96695550,97349754,97522183,97944817,98285422,98367421,98503847,98504062,98603757,98613358,99164504,99394707,99771421,...,105360621799577553002990366201265679107894223402962637736568157403054770532478514434825202940957241469391075322370621980715663627739842829199969637471603307745176228576292118494318178340261040723585618187071694745430008786576435138763315653545190631641941640479103244897648231943612351485461395764202047654392250400202372598983855607052850873195664513260730161998810414537248404988375817828949652349167672843341509068689566906768533757669335933829278402665529315894972874321077699775817326636677045521374746750591175692767040076663093231973651479240138290874017143975550319395507070075012838164557583666191958588964801312730193110800741333998672410808191006136822400442026198023546118019201597583509407697671809683195462652589383866035531242412664168725424516246482518784840252703486865878215293673066030594648779000235633880402275470950334061157643179366106244614005711257208867324286031821976603844699921287498523983906926317838100093026449308712547827033435888170847826280763738612766776179217594664663772182173569719311160633076364588688420600801197762092342004650747781000928410523854748956913246089753930463530555795000107403862815679257341235784121924517982678294586985394892574047437892915015774150552733877502440180964945755254118775617378579199159939198085230741833287395806293531111470635136501601960861007291207043256862791218302615490301369171161374153478882215297812224088577937465460528874216234110404179068423274180294560638263787354429038350012434830647980205357371039251919432611346775553992589783072917414634511213595053255241243148860216836975530612840061748745370331450135078243120779500617310291834660347586044073610421156338022998539602039574502865788008469298266111004194307697161372063493872668437988429404006620964742173770286708691464431845790342092293940185982048059580831763660151594047119644568631047191111859812751438133929848921755165359758476255704594501415329885930834781955765717629733619841408160724907797198456101253004661898073940209197539398805992660333945051328793468082779992775078976121062237946631430878455001331178469981255086720048779474935160535612630974807498870999108488406321400567091032352853441361364934284270519472497715231203524309561284662456247375775683579033106622558337602235953748003456956388561820534842018971312424069646551038716296852945453468757243524441525384323869058112262091093518820791122247689070583448466319317167152157589475505957049356404551223784613906058296754860025543110830873712092197981323512455774455780246069984897816044822868318759390152026888687573020650199192504272614606687474757372376255429349820252124853894582659758223280350742559834476831056155686955639973911608322986854286050716535697796286809009121003781084757589703116287022927007546267554428515512013895755411556736559341166359300300513992918096915848607943394077715398434212960402178063670254664268401728327727174498305525597901031333098256533281594260060335847799807989651368635763650101261016792953534863996849670581631449000428783278444321503619506814143398550568393015291667169423294338518903373671419236223682379077361919007020852272143775274133163385193770634380450984772638096434246291717393820668390622576999908068632977732199492774960129636705144644684737174041543134096822427109611763297566889272081146019728222778698319026906088123322050833368752679470253973204651969510995731985433993198405936023877980845424725070639282168489391800425975757629893471047429041320085397372559382004238187422884995690089200013028205277110663411025174839458714410604281160394259706480344413202074737301010380763403779269785157779149943925981940082707485313640970769170680367472587247142359365459011253429580486590860416777718019778005049932562255771757069826224055506685742898049687607045200124848285846784487986688712359363738334378173650352879049517666795821574105559119967715539168582984574190192981027097494634887652555264041800231462133333617723325049346917498565169872525862075855385829861306281775478742116297832358008420720313470232527859422321001183174320636927337651753422419668576115151859112190959059646256240390001793161242822294984744265271732329315456357017617031163715455874376733978984838097770008692508412167442973805924414684051355797391183538392844963380950508099429178659929088958074824581790329411548440942127116287078807589417748830017391158592572314650960025618583485027936055961394324437315559869146107321946581013795534409324899318152238851895197935335255596033083058809718967668647566436228500377481067877950229335541282133839521770859367894170420299151644888867751542841067813522226163514011966974292682467347479649159469369161821853600433210242556318693973736803093401185021094339969281146109318507265951002568867660146895615337399674475677350733674799682092930681171482490566537026983343000999894486587115252626724057971979770431544713270626707995965392856728695839359805920604392872784812583158078187878847137613070745602}
30723 2570063071845997843820909591220233369156799235940375392971969121453959591949081032371868: {644973,767825,921390,982816,1105668,1197573,1565853,1688885,2026662,2118093,2793973,2854077,3009286,3957333,3991390,4082701,4298980,4449905,4728262,4789668,5158776,5187793,5339886,5426997,5803623,5832430,6141400,6288785,6528237,6754660,6909075,6998916,7207685,7305886,7369680,7546542,7628613,7764317,7860992,8105592,8178477,8290890,8649222,8779342,8843616,8869121,9118791,9949068,10436980,11655933,12035576,12524376,13540023,13832621,14089923,14374381,14857348,14942373,15123761,15160366,15307053,15658573,15890686,16119075,16228133,16582677,16942261,17193680,17493117,18463942,19189375,19312197,19342890,19763716,20402493,20457557,20534830,20632416,20765733,20947317,22347416,22369390,22700980,22750462,22943157,23027250,23211468,24203230,24304657,24562400,24641796,24725662,24755037,25050037,25140843,25656004,26377060,26690053,26745333,26843268,27129076,27241176,27332405,27632700,28233880,28913253,29043876,29074513,29465221,29474880,29505502,29751421,29929575,30176277,30459142,30646323,31439872,31458037,31652472,31763115,31924880,32158653,32500660,32798886,33159240,33584341,33880656,33958293,34497717,34607285,34860973,35210308,35369856,35455035,35515237,35593222,35609031,35915490,36114693,36130438,36473757,37304145,37467742,37818704,38115738,38236085,38309856,39000792,39000901,39791088,40775037,40855117,40953905,41130958,41528742,41843428,41848197,41958481,42208375,42384453,42485197,42502030,42510181,42546042,43098588,43456317,43513060,43875891,44764974,44826382,45167782,45883302,45910744,46132197,46260916,47015566,47379093,47599573,47769838,47977630,48753013,49144686,49203022,49801390,49932388,50300440,50650050,50847460,51002436,51649587,52185022,52215672,52645355,53064213,53236678,53623396,54026720,54304557,54835773,55128478,55720653,56555902,56587995,56647813,56958477,57573156,57923221,58115717,58646686,58742631,58769153,59606997,59761668,59987317,60360528,60664893,60728830,60780060,61016952,61224555,61727086,62250117,62358673,63174426,63406948,63553582,63833397,64654468,64832064,65306192,66612973,67164286,67598884,67905594,67953905,67999390,68396397,68644071,68701606,69447093,69791086,71834737,72874596,72886375,72936072,73469466,73782301,74186581,75207650,75210477,75289373,76026142,76429653,76438606,76567153,76691811,76777773,77400881,77796615,77909758,78287704,78663185,79038213,79385613,79564804,81544686,81599268,82053081,82642438,82983056,83780980,83998385,84165886,84256501,85482868,85967422,86313453,86700221,86768941,87463650,87656557,88073667,88088957,88901493,89293702,89606897,90206405,90249180,91299775,92159067,92970862,93294560,93355938,93374637,93546357,94062221,94395822,94404742,95161390,95192902,95459377,95709988,95948980,95957656,96265792,96633213,96798541,96975717,97279685,98049973,98515797,99044405,99853635,...,158040932699366329504485549301898518661841335104443956604852236104582155798717771652237804411435862204086612983555932971073495441609764243799954456207404961617764342864438177741477267510391561085378427280607542118145013179864652708144973480317785947462912460718654867346472347915418527228192093646303071481588375600303558898475783410579276309793496769891095242998215621805872607482563726743424478523751509265012263603034350360152800636504003900743917603998293973842459311481616549663725989955015568282062120125886763539150560114994639847960477218860207436311025715963325479093260605112519257246836375499287937883447201969095289666201112000998008616212286509205233600663039297035319177028802396375264111546507714524793193978884075799053296863618996253088136774369723778177260379055230298817322940509599045891973168500353450820603413206425501091736464769049159366921008566885813300986429047732964905767049881931247785975860389476757150139539673963068821740550153832256271739421145607919150164268826391996995658273260354578966740949614546883032630901201796643138513006976121671501392615785782123435369869134630895695295833692500161105794223518886011853676182886776974017441880478092338861071156839372523661225829100816253660271447418632881178163426067868798739908797127846112749931093709440296667205952704752402941291510936810564885294186827453923235452053756742061230218323322946718336132866906198190793311324351165606268602634911270441840957395681031643557525018652245971970308036056558877879148917020163330988884674609376121951766820392579882861864723290325255463295919260092623118055497175202617364681169250925965437751990521379066110415631734507034497809403059361754298682012703947399166506291461545742058095240809002656982644106009931447113260655430063037196647768685513138440910278973072089371247645490227391070679466852946570786667789719127157200894773382632748039637714383556891752122994828896252172933648576444600429762112241087361695797684151879506992847110910313796309098208988990500917576993190202124169989162618464181593356919947146317682501996767704971882630080073169212402740803418946462211248306498662732609482100850636548529280162042047401426405779208746572846805286464341926993684371063663525368549659933837506403353930622005185434582842730802263028456968636104469826558074445279418180203135865286662288076485803587168393136640278231186683371533605875172699478975750728236384213258935574034606826835676920859087445132290038314666246310568138296971985268683661683670369104977346724067234302478139085228040333031359530975298788756408921910031212136058564383144024730378187280841873989637334920526113839751715246584233530433459960867412484480281429076074803546694430213513681505671627136384554674430534390511319401331642773268020843633117335104839011749538950450770989377145373772911915091116573097651319440603267095505381996402602592491590761747458288396851546999647384799922391390090503771699711984477052953645475151891525189430302295995274505872447173500643174917666482255429260221215097825852589522937500754134941507778355060507128854335523568616042878510531278408215662911199745077790655951570676477158957144651369437576090731002585933865499862102949466598299239162440194455057716967027105761062314701145233640664417644946350333908121719029592334168047478540359132184983076250053129019205380959806977954266493597978150989797608904035816971268137087605958923252734087700638963636444840206571143561980128096058839073006357281134327493535133800019542307915665995116537762259188071615906421740591389559720516619803112105951515571145105668904677736668724915888972910124061227970461456153756020551208880870713539048188516880144370729886290625166577029667007574898843383657635604739336083260028614347074531410567800187272428770176731980033068539045607501567260475529318574276500193732361158338679951573308752874476861285289471540646241952331478832896062700347193200000426584987574020376247847754808788793113783078744791959422663218113174446748537012631080470205348791789133481501774761480955391006477630133629502864172727788668286438589469384360585002689741864233442477116397907598493973184535526425546745573183811565100968477257146655013038762618251164460708886622026077033696086775307589267445071425762149143767989893633437112236872685494117322661413190674430618211384126623245026086737888858471976440038427875227541904083942091486655973339803719160982919871520693301613987348977228358277842796903002883394049624588214578451502971349654342750566221601816925344003311923200759282656289051841255630448727467333301627314261601720283339245271017950461439023701021219473739204053742732780400649815363834478040960605204640101777531641509953921719163977760898926503853301490220343423006099511713516026100512199523139396021757223735849805540475014501499841729880672878940086086957969655647317069905940061993948089285093043759039708880906589309177218874737117281818270706419606118403}
30724 2577952762395936785977051640456562388102177409088914521554597005547364856208587938428642: {337843,522019,859964,1166714,1228520,1382085,1441819,1474224,1596764,1625563,1658502,2087804,2702216,2824124,3039993,3740642,3805436,4007683,4474754,4513929,4841594,5103019,5276444,5373725,5987085,6386224,6448470,6878368,6922819,7092393,7104403,7119848,7184502,7235996,7676750,7738164,7830019,8009829,8443325,8704316,8748645,8916283,9212100,9331888,9826240,9962234,10062056,10131990,10171484,10498374,10531129,10807456,10904636,10958829,11054520,11319813,11532296,11620603,11784194,11791488,12158388,12159523,12436335,12973833,13046225,13056283,13169013,13265424,13965794,14923602,15044470,15541244,15655470,15735763,16699168,16980643,17690419,18053364,18571685,18786564,19553989,19636363,19923164,20118842,20341819,20409404,21492100,22110236,22286022,22740549,23324156,23836029,23851819,24704645,24796034,25596019,25749596,25790520,26465419,27203324,27509888,27687644,27695913,27929756,27934270,28019834,28376225,28890163,29014335,29235403,29645574,30162554,30590876,30703000,30802245,30948624,31472443,32070005,32329603,32655842,32855728,32971325,33006716,33091366,33521124,33554085,33911345,34038523,34051470,34125693,34540875,34817202,35060419,35230483,35292350,35660444,35791024,36079723,36304845,36321568,36843600,36913634,36962694,37088493,37267514,37974842,38279323,38484006,38551004,38725168,39299840,39565590,39906100,39963043,40171901,40235036,40264902,40625825,40693614,40861764,41449050,41806819,42203296,42350820,42558434,42878204,43308883,43565814,43641883,43731848,43963874,44012885,44212320,44258253,44314874,44473123,45174208,45277724,45688713,45799363,45996956,46625923,47159808,47273380,47478708,47887320,48152924,48273797,48631676,48750990,49198329,49258819,49738860,50820984,51079808,51304634,52001056,52304285,52686523,52815462,53054784,53389833,53873235,54195657,54366716,54391325,54777914,54954019,55371656,55599283,55797596,56201613,56512604,56725723,56728056,57142918,57173607,57388430,57464784,57826145,57941756,58168819,58501188,59127643,59606083,59686632,61177736,61509596,61513363,61681274,61696437,62293113,62368442,62415485,62765142,62875550,62937019,63172124,63559325,63753045,63819063,64647882,64768994,65269590,65526248,66479354,67029245,67147461,67239573,67533400,67751673,68003248,68186114,68418019,68501741,68824953,68866116,69038803,69193819,69391374,69620896,70523349,70752284,71654757,71664283,71966445,72406076,72610174,73114364,73623554,73717029,73804533,74294204,74702085,74898582,75315194,75450660,75487483,75944636,75975075,76271190,76503654,76701403,76764208,77608819,77677442,78277533,78323508,79258685,79475996,79682224,79855017,80435094,80480704,80614819,80818085,80886524,81040080,81355936,81632740,81694118,82107019,82692717,83000156,83740123,83962949,84232568,84498605,84833853,85055714,85111196,86056442,86359734,86442752,87970029,89382842,89642502,90046394,90377954,90540792,91093245,91170090,91195196,91525428,91609861,92590629,92596124,93196726,94345442,94761639,95110422,95330373,95923819,96065803,96650234,96981702,97166128,97199083,97248096,97859630,97959288,98046019,98620154,99456005,...,210721243599155106005980732402531358215788446805925275473136314806109541064957028869650405881914482938782150644741243961431327255479685658399939274943206615490352457152584236988636356680522081447171236374143389490860017573152870277526631307090381263283883280958206489795296463887224702970922791528404095308784500800404745197967711214105701746391329026521460323997620829074496809976751635657899304698335345686683018137379133813537067515338671867658556805331058631789945748642155399551634653273354091042749493501182351385534080153326186463947302958480276581748034287951100638791014140150025676329115167332383917177929602625460386221601482667997344821616382012273644800884052396047092236038403195167018815395343619366390925305178767732071062484825328337450849032492965037569680505406973731756430587346132061189297558000471267760804550941900668122315286358732212489228011422514417734648572063643953207689399842574997047967813852635676200186052898617425095654066871776341695652561527477225533552358435189329327544364347139438622321266152729177376841201602395524184684009301495562001856821047709497913826492179507860927061111590000214807725631358514682471568243849035965356589173970789785148094875785830031548301105467755004880361929891510508237551234757158398319878396170461483666574791612587062222941270273003203921722014582414086513725582436605230980602738342322748306957764430595624448177155874930921057748432468220808358136846548360589121276527574708858076700024869661295960410714742078503838865222693551107985179566145834829269022427190106510482486297720433673951061225680123497490740662900270156486241559001234620583669320695172088147220842312676045997079204079149005731576016938596532222008388615394322744126987745336875976858808013241929484347540573417382928863691580684184587880371964096119161663527320303188094239289137262094382223719625502876267859697843510330719516952511409189002830659771861669563911531435259467239682816321449815594396912202506009323796147880418395078797611985320667890102657586936165559985550157952242124475893262861756910002662356939962510173440097558949870321071225261949614997741998216976812642801134182064705706882722729868568541038944995430462407048619122569324912494751551367158066213245116675204471907496006913912777123641069684037942624848139293102077432593705890906937514487048883050768647738116224524182187037641582244495378141166896932638634334304315178951011914098712809102447569227812116593509720051086221661747424184395962647024911548911560492139969795632089645736637518780304053777375146041300398385008545229213374949514744752510858699640504249707789165319516446560701485119668953662112311373911279947823216645973708572101433071395592573618018242007562169515179406232574045854015092535108857031024027791510823113473118682332718600601027985836193831697215886788155430796868425920804356127340509328536803456655454348996611051195802062666196513066563188520120671695599615979302737271527300202522033585907069727993699341163262898000857566556888643007239013628286797101136786030583334338846588677037806747342838472447364758154723838014041704544287550548266326770387541268760901969545276192868492583434787641336781245153999816137265955464398985549920259273410289289369474348083086268193644854219223526595133778544162292039456445557396638053812176246644101666737505358940507946409303939021991463970867986396811872047755961690849450141278564336978783600851951515259786942094858082640170794745118764008476374845769991380178400026056410554221326822050349678917428821208562320788519412960688826404149474602020761526807558539570315558299887851963880165414970627281941538341360734945174494284718730918022506859160973181720833555436039556010099865124511543514139652448111013371485796099375214090400249696571693568975973377424718727476668756347300705758099035333591643148211118239935431078337165969148380385962054194989269775305110528083600462924266667235446650098693834997130339745051724151710771659722612563550957484232595664716016841440626940465055718844642002366348641273854675303506844839337152230303718224381918119292512480780003586322485644589969488530543464658630912714035234062327430911748753467957969676195540017385016824334885947611848829368102711594782367076785689926761901016198858357319858177916149649163580658823096881884254232574157615178835497660034782317185144629301920051237166970055872111922788648874631119738292214643893162027591068818649798636304477703790395870670511192066166117619437935337295132872457000754962135755900458671082564267679043541718735788340840598303289777735503085682135627044452327028023933948585364934694959298318938738323643707200866420485112637387947473606186802370042188679938562292218637014531902005137735320293791230674799348951354701467349599364185861362342964981133074053966686001999788973174230505253448115943959540863089426541253415991930785713457391678719611841208785745569625166316156375757694275226141491204}
30725 2585866533452892288546845583341395573580747683421792267061050604892427681666511218486201: {1074955,1289946,1535650,1750071,1842780,1965632,1995955,2211336,2364439,2395146,2487753,2609755,3131706,3377770,3530155,3715063,4053324,4236186,4756795,5587946,5610963,5708154,5740339,6018572,6229867,6595555,6712131,7262391,7914666,7982780,8165402,8597960,8804299,8899810,9044995,9176011,9456524,9579336,9672705,9912547,10090759,10317552,10375586,10679772,10776753,10853994,10880395,11515125,11607246,11664860,12282800,12485539,12577570,12714355,13056474,13509320,13630795,13818150,13997832,14415370,14507383,14611772,14739360,14943351,15093084,15197985,15257226,15528634,15721984,15747561,16166779,16211184,16347643,16356954,16581780,16903027,17298444,17558684,17676291,17687232,17738242,17875363,18237582,19292059,19426555,19898136,20873960,20948691,21868423,22385403,22566705,23311866,23483205,23932183,24071152,24498139,24903955,25048752,25511755,26865125,27080046,27637795,27665242,27966103,28179846,28748762,28913323,29155195,29714696,29884746,30178263,30247522,30320732,30614106,30740947,31317146,31781372,32186995,32238150,32456266,33165354,33429033,33884522,34004155,34387360,34609555,34912195,34986234,36927884,36978859,37194051,37361131,38238595,38265367,38378750,38624394,38685780,39527432,40804986,40915114,41069660,41258395,41264832,41531466,41582551,41774587,41894634,41901405,42029751,44468361,44575555,44694832,44738780,45243831,45401960,45500924,45886314,46054500,46079539,46422936,47098291,48188755,48406460,48450199,48609314,48983763,49124800,49283592,49451324,49510074,49637049,49882625,50020423,50100074,50281686,50293795,51077205,51312008,51510883,52225803,52419907,52754120,52771939,52938525,53380106,53490666,53530519,53597755,53686536,54258152,54482352,54664810,55265400,55370451,55444041,55901271,56467760,56597155,56962263,57335467,57496195,57726009,57826506,58087752,58149026,58930442,58949760,59011004,59037499,59091725,59348385,59502842,59859150,60191155,60352554,60397353,60789595,60918284,61040421,61292646,62173575,62879744,62916074,63304944,63526230,63837651,63849760,64317306,65001320,65348721,65597772,65683171,65945811,66130339,66318480,66472311,66561163,67168682,67663879,67761312,67916586,67958395,68094979,68682211,68995434,69214570,69721946,69746995,70420616,70640755,70739712,70910070,71030474,71186444,71218062,71830980,72229386,72260876,72427195,72947514,73126485,73703497,74608290,74794423,74935484,75637408,76231476,76472170,76619712,76696651,76886995,76956951,77405947,78001584,78001802,78439819,78965155,79223193,79582176,81550074,81710234,81907810,82166871,82261916,83057484,83686856,83696394,83916962,84416750,84768906,84970394,85004060,85020362,85092084,85714377,86082645,86197176,86506867,86912634,87026120,87751782,88440355,89529948,89652764,90335564,90507595,91381291,91392955,91766604,91821488,92264394,92521832,92521911,92867755,92899747,93552663,94031132,94147713,94313325,94731703,94758186,94930795,95135467,95199146,95539676,95786683,95955260,96900247,96971823,97153491,97506026,97904385,98289372,98406044,99088699,99344995,99602780,99719031,99864776,...,316081865398732659008971098603797037323682670208887913209704472209164311597435543304475608822871724408173225967111865942146990883219528487599908912414809923235528685728876355482954535020783122170756854561215084236290026359729305416289946960635571894925824921437309734692944695830837054456384187292606142963176751200607117796951566821158552619586993539782190485996431243611745214965127453486848957047503018530024527206068700720305601273008007801487835207996587947684918622963233099327451979910031136564124240251773527078301120229989279695920954437720414872622051431926650958186521210225038514493672750998575875766894403938190579332402224001996017232424573018410467201326078594070638354057604792750528223093015429049586387957768151598106593727237992506176273548739447556354520758110460597634645881019198091783946337000706901641206826412851002183472929538098318733842017133771626601972858095465929811534099763862495571951720778953514300279079347926137643481100307664512543478842291215838300328537652783993991316546520709157933481899229093766065261802403593286277026013952243343002785231571564246870739738269261791390591667385000322211588447037772023707352365773553948034883760956184677722142313678745047322451658201632507320542894837265762356326852135737597479817594255692225499862187418880593334411905409504805882583021873621129770588373654907846470904107513484122460436646645893436672265733812396381586622648702331212537205269822540883681914791362063287115050037304491943940616072113117755758297834040326661977769349218752243903533640785159765723729446580650510926591838520185246236110994350405234729362338501851930875503981042758132220831263469014068995618806118723508597364025407894798333012582923091484116190481618005313965288212019862894226521310860126074393295537371026276881820557946144178742495290980454782141358933705893141573335579438254314401789546765265496079275428767113783504245989657792504345867297152889200859524224482174723391595368303759013985694221820627592618196417977981001835153986380404248339978325236928363186713839894292635365003993535409943765260160146338424805481606837892924422496612997325465218964201701273097058560324084094802852811558417493145693610572928683853987368742127327050737099319867675012806707861244010370869165685461604526056913937272208939653116148890558836360406271730573324576152971607174336786273280556462373366743067211750345398957951501456472768426517871148069213653671353841718174890264580076629332492621136276593943970537367323367340738209954693448134468604956278170456080666062719061950597577512817843820062424272117128766288049460756374561683747979274669841052227679503430493168467060866919921734824968960562858152149607093388860427027363011343254272769109348861068781022638802663285546536041687266234670209678023499077900901541978754290747545823830182233146195302638881206534191010763992805205184983181523494916576793703093999294769599844782780181007543399423968954105907290950303783050378860604591990549011744894347001286349835332964510858520442430195651705179045875001508269883015556710121014257708671047137232085757021062556816431325822399490155581311903141352954317914289302738875152181462005171867730999724205898933196598478324880388910115433934054211522124629402290467281328835289892700667816243438059184668336094957080718264369966152500106258038410761919613955908532987195956301979595217808071633942536274175211917846505468175401277927272889680413142287123960256192117678146012714562268654987070267600039084615831331990233075524518376143231812843481182779119441033239606224211903031142290211337809355473337449831777945820248122455940922912307512041102417761741427078096377033760288741459772581250333154059334015149797686767315271209478672166520057228694149062821135600374544857540353463960066137078091215003134520951058637148553000387464722316677359903146617505748953722570578943081292483904662957665792125400694386400000853169975148040752495695509617577586227566157489583918845326436226348893497074025262160940410697583578266963003549522961910782012955260267259005728345455577336572877178938768721170005379483728466884954232795815196987946369071052851093491146367623130201936954514293310026077525236502328921417773244052154067392173550615178534890142851524298287535979787266874224473745370988234645322826381348861236422768253246490052173475777716943952880076855750455083808167884182973311946679607438321965839743041386603227974697954456716555685593806005766788099249176429156903005942699308685501132443203633850688006623846401518565312578103682511260897454934666603254628523203440566678490542035900922878047402042438947478408107485465560801299630727668956081921210409280203555063283019907843438327955521797853007706602980440686846012199023427032052201024399046278792043514447471699611080950029002999683459761345757880172173915939311294634139811880123987896178570186087518079417761813178618354437749474234563636541412839212236806}
30726 2593804458090169066219883103917329061698186945758913413158156088447544575310042653799515: {399269,583433,675686,706169,890213,1044038,1135493,1719928,1934919,2303475,2333428,2457040,2543369,2726693,2764170,2883638,2948448,3193528,3251126,3317004,3592719,4175608,4555973,4697559,5066655,5103353,5285669,5404432,5648248,6014213,6079986,6354279,6983813,7104869,7481284,7523215,7610872,7830533,8015366,8381919,8434373,8562231,8949508,9027858,9683188,9978475,10206038,10241093,10552888,10747450,10901753,11501513,11820655,11871999,11974170,12248103,12698633,12772448,12896940,13116869,13349715,13756736,13832933,13845638,14130953,14184786,14208806,14239696,14369004,14471992,14581075,15202169,15353500,15476328,15563379,15660038,15796169,16019658,16280991,16804133,16886650,17408632,17410869,17497290,17691593,17832566,17868869,18264715,18282233,18424200,18459269,18577253,18663776,18866355,19584711,19652480,19924468,20124112,20263980,20342968,20727225,20996748,21062258,21614912,21623055,21809272,21917658,21948355,22109040,22277369,22639626,22885839,23064592,23241206,23292951,23568388,23582976,24202853,24316776,24319046,24535431,24872670,25481669,25655753,25771769,25947666,26000359,26092450,26112566,26338026,26530848,26607363,27045833,27356373,27912293,27931588,28776953,29847204,29984453,30088940,31082488,31310940,31471526,31531769,32388869,32503013,33398336,33961286,34097669,34586503,34967799,35380838,36106728,37143370,37573128,37775369,37900915,37944293,38169413,38338169,39012473,39107978,39272726,39726715,39846328,40237684,40620069,40683638,40818808,41028473,41497863,41698169,41865413,42143993,42269769,42984200,43123143,43367369,44220472,44572044,44827119,44898007,45305669,45371283,45471353,45481098,45921159,46023113,46159855,46519013,46648312,46975719,47475883,47672058,47703638,48331769,48357225,48441353,48684399,49152869,49316873,49409290,49590053,49592068,49748031,50626313,50826783,51192038,51337075,51442373,51499192,51581040,52479351,52930838,53339513,53879753,54406648,54473093,55019776,55119269,55375288,55391826,55656869,55859512,55868540,55923475,56039668,56729669,56752450,56876155,57050851,57371813,57532169,57568125,57780326,57936591,58028670,58226213,58470806,58492793,59131769,59291148,59291333,59663369,60088073,60325108,60508075,60883013,61181752,61207479,61372671,61406000,61517669,61604490,61618039,61814155,61897248,62203913,62297199,62841951,62944886,63099269,64140010,64659206,65039993,65196869,65301413,65311684,65711456,65942650,66013432,66182732,66240869,66397193,67042248,67108170,67385573,67822690,68077046,68102940,68251386,68422853,68829471,68940293,69081750,69198713,69634404,70120838,70460966,70584700,71320888,71582048,71669369,72159446,72609690,72643136,72913971,73225999,73561253,73687200,73763755,73827268,73925388,74176986,74265111,74535028,74579333,75150111,75422529,75644873,75847433,75949684,76147855,76403813,76558646,76968012,77102008,77450336,78599680,79020869,79131180,79271369,79812200,79926086,80070159,80171513,80235999,80343802,80470072,80529804,80770169,80919653,80956603,81118853,81251650,81367673,81387228,81723528,81997215,82013669,82261769,82898100,83613638,84091493,84406592,84701640,85116868,85125113,85756408,85861253,86617766,86739759,87131628,87223539,87283766,87381679,87463696,87766793,87927748,88025770,88395663,88424640,88496453,88516506,88629748,88946246,88983055,89254263,89788725,90326095,90348416,90481673,90528831,90555448,90963833,91204613,91377426,91598726,91925753,91938969,91993912,92645093,93251846,93669355,93840943,94078373,94319616,94374111,94506953,94546760,94957416,95289345,95774640,95978213,96305848,96403913,96475959,96547594,97253369,97263352,97501980,98053253,98194169,98396658,98517638,99038153,99477720,...,474122798098098988513456647905695555985524005313331869814556708313746467396153314956713413234307586612259838950667798913220486324829292731399863368622214884853293028593314533224431802531174683256135281841822626354435039539593958124434920440953357842388737382155964602039417043746255581684576280938909214444765126800910676695427350231737828929380490309673285728994646865417617822447691180230273435571254527795036790809103051080458401909512011702231752811994881921527377934444849648991177969865046704846186360377660290617451680344983919543881431656580622308933077147889976437279781815337557771740509126497863813650341605907285868998603336002994025848636859527615700801989117891105957531086407189125792334639523143574379581936652227397159890590856988759264410323109171334531781137165690896451968821528797137675919505501060352461810239619276503275209394307147478100763025700657439902959287143198894717301149645793743357927581168430271450418619021889206465221650461496768815218263436823757450492806479175990986974819781063736900222848843640649097892703605389929415539020928365014504177847357346370306109607403892687085887501077500483317382670556658035561028548660330922052325641434277016583213470518117570983677487302448760980814342255898643534490278203606396219726391383538338249793281128320890001617858114257208823874532810431694655882560482361769706356161270226183690654969968840155008398600718594572379933973053496818805807904733811325522872187043094930672575055956737915910924108169676633637446751060489992966654023828128365855300461177739648585594169870975766389887757780277869354166491525607852094043507752777896313255971564137198331246895203521103493428209178085262896046038111842197499518874384637226174285722427007970947932318029794341339781966290189111589943306056539415322730836919216268113742936470682173212038400558839712360003369157381471602684320147898244118913143150670675256368984486688756518800945729333801289286336723262085087393052455638520978541332730941388927294626966971502752730979570606372509967487855392544780070759841438953047505990303114915647890240219507637208222410256839386633744919495988197828446302551909645587840486126142204279217337626239718540415859393025780981053113190990576105648979801512519210061791866015556303748528192406789085370905908313409479674223335838254540609407595859986864229457410761505179409920834693560050114600817625518098436927252184709152639776806722103820480507030762577262335396870114943998738931704414890915955806050985051011107314932040172201702907434417255684120999094078592925896366269226765730093636408175693149432074191134561842525621968912004761578341519255145739752700591300379882602237453440844287228224410640083290640541044517014881409153664023291603171533958203994928319804062530899352005314517035248616851352312968131436121318735745273349719292953958321809801286516145989207807777474772285242374865190554640998942154399767174170271511315099135953431158860936425455674575568290906887985823517617341520501929524752999446766287780663645293477557768568812502262404824523335065181521386563006570705848128635531593835224646988733599235233371967854712029431476871433954108312728272193007757801596499586308848399794897717487320583365173150901081317283186944103435700921993252934839051001724365157088777002504142435621077396554949228750159387057616142879420933862799480793934452969392826712107450913804411262817876769758202263101916890909334520619713430685940384288176517219019071843402982480605401400058626923746997985349613286777564214847719265221774168679161549859409336317854546713435317006714033210006174747666918730372183683911384368461268061653626642612140617144565550640433112189658871875499731089001022724696530150972906814218008249780085843041223594231703400561817286310530195940099205617136822504701781426587955722829500581197083475016039854719926258623430583855868414621938725856994436498688188101041579600001279754962722061128743543264426366379341349236234375878267989654339523340245611037893241410616046375367400444505324284442866173019432890400888508592518183366004859315768408153081755008069225592700327431349193722795481919553606579276640236719551434695302905431771439965039116287854753493382126659866078231101088260325922767802335214277286447431303969680900311336710618056482351967984239572023291854634152379869735078260213666575415929320115283625682625712251826274459967920019411157482948759614562079904841962046931685074833528390709008650182148873764643735354508914048963028251698664805450776032009935769602277847968867155523766891346182401999904881942784805160850017735813053851384317071103063658421217612161228198341201949446091503434122881815613920305332594924529861765157491933282696779511559904470661030269018298535140548078301536598569418188065271671207549416621425043504499525189642018636820258260873908966941951209717820185981844267855279131277119126642719767927531656624211351845454812119258818355209}
30727 2601766609601535690200613437350967280181880941858098765981774812117550757122380317500097: {30727,1013529,1504937,1566057,2149910,2579892,2794337,2916785,3071300,3500142,3653657,3685560,3931264,3991910,4146255,4325457,4390529,4422672,4728878,4790292,4876689,4942217,4975506,5219510,6263412,6415673,6659513,6755540,6784037,7060310,7430126,8106648,8472372,9119979,9233777,9351605,9513590,11078729,11175892,11186885,11221926,11416308,11480678,12023049,12037144,12103985,12459734,12662993,13191110,13424262,13541787,14524782,14755637,15232553,15309057,15829332,15965560,16121175,16330804,17145089,17195920,17608598,17799620,17800097,17961255,18068753,18089990,18352022,18913048,19083113,19158672,19191875,19345410,19825094,20181518,20635104,20751172,20768457,21125429,21277179,21313209,21359544,21553506,21561713,21707988,21760790,22588313,23030250,23214492,23329720,23490057,24029487,24565600,24606329,24905585,24971078,25155140,25329975,25428710,26112948,26245935,26623553,26748849,27018640,27197177,27261590,27380273,27636300,27995664,28283489,28830740,29014766,29223544,29460485,29478720,29886702,30186168,30323729,30395970,30514452,31057268,31443968,31495122,31593387,31783013,32333558,32422368,32695286,32713908,32876487,32899253,33050849,33163560,33806054,33959439,34357529,34596888,34861809,34865537,34902377,34914485,35117368,35352582,35374464,35476484,35716457,35750726,36475164,36478569,37309005,37611175,38020517,38584118,38692913,38853110,38921499,39138675,39168849,39507039,39796272,40817273,41137433,41329313,41747920,41897382,42992129,43736846,44655593,44770806,45061793,45133410,46494533,46623732,46752233,46966410,47207289,47211617,47605817,47864366,48142304,48453377,48877073,48996278,49807910,50097504,50297105,50346449,50941929,51023510,51429449,52775393,53071257,53288177,53534033,53730250,54023609,54160092,54196853,54457637,54781529,55275590,55330484,55715055,55932206,56035073,56359692,57497524,57761753,57826646,58310390,58661967,58909089,59429392,59516033,59769492,60079157,60356526,60495044,60641464,61025457,61228212,61481894,61917377,61990085,62366837,62405777,62634292,63562744,64373990,64476300,64912532,66330708,66801713,66858066,66867473,67464257,67769044,68008310,68221647,68774720,69219110,69808049,69824390,69835675,69972468,70049585,70411313,71508087,71555457,73855768,73957718,74113935,74388102,74722262,74799329,75036857,75406385,76106153,76477190,76530734,76757500,76788057,77248788,77371560,78154037,78444953,79054864,79236017,79396257,80494673,81545957,81609972,81639605,81830228,82139320,82516790,82529664,82728415,83062932,83087739,83165102,83549174,83789268,83802810,84059502,84267617,85105433,85128675,86512529,86670489,87043005,87668033,87706209,88230875,88393409,88936722,89151110,89315417,89389664,89477560,90487662,90803920,91001848,91772628,92109000,92159078,92284085,92406735,92845872,93168785,93937733,94196582,94417329,94937105,95141753,96210015,96377510,96812920,96900398,96988809,97218628,97645793,97683449,97967526,98249600,98567184,98897057,98902648,98913975,99020148,99274098,99765250,...,632163730797465318017942197207594074647365340417775826419408944418328623194871086608951217645743448816346451934223731884293981766439056975199817824829619846471057371457752710965909070041566244341513709122430168472580052719458610832579893921271143789851649842874619469385889391661674108912768374585212285926353502401214235593903133642317105239173987079564380971992862487223490429930254906973697914095006037060049054412137401440611202546016015602975670415993175895369837245926466198654903959820062273128248480503547054156602240459978559391841908875440829745244102863853301916373042420450077028987345501997151751533788807876381158664804448003992034464849146036820934402652157188141276708115209585501056446186030858099172775915536303196213187454475985012352547097478895112709041516220921195269291762038396183567892674001413803282413652825702004366945859076196637467684034267543253203945716190931859623068199527724991143903441557907028600558158695852275286962200615329025086957684582431676600657075305567987982633093041418315866963798458187532130523604807186572554052027904486686005570463143128493741479476538523582781183334770000644423176894075544047414704731547107896069767521912369355444284627357490094644903316403265014641085789674531524712653704271475194959635188511384450999724374837761186668823810819009611765166043747242259541176747309815692941808215026968244920873293291786873344531467624792763173245297404662425074410539645081767363829582724126574230100074608983887881232144226235511516595668080653323955538698437504487807067281570319531447458893161301021853183677040370492472221988700810469458724677003703861751007962085516264441662526938028137991237612237447017194728050815789596666025165846182968232380963236010627930576424039725788453042621720252148786591074742052553763641115892288357484990581960909564282717867411786283146671158876508628803579093530530992158550857534227567008491979315585008691734594305778401719048448964349446783190736607518027971388443641255185236392835955962003670307972760808496679956650473856726373427679788585270730007987070819887530520320292676849610963213675785848844993225994650930437928403402546194117120648168189605705623116834986291387221145857367707974737484254654101474198639735350025613415722488020741738331370923209052113827874544417879306232297781117672720812543461146649152305943214348673572546561112924746733486134423500690797915903002912945536853035742296138427307342707683436349780529160153258664985242272553187887941074734646734681476419909386896268937209912556340912161332125438123901195155025635687640124848544234257532576098921512749123367495958549339682104455359006860986336934121733839843469649937921125716304299214186777720854054726022686508545538218697722137562045277605326571093072083374532469340419356046998155801803083957508581495091647660364466292390605277762413068382021527985610410369966363046989833153587406187998589539199689565560362015086798847937908211814581900607566100757721209183981098023489788694002572699670665929021717040884860391303410358091750003016539766031113420242028515417342094274464171514042125113632862651644798980311162623806282705908635828578605477750304362924010343735461999448411797866393196956649760777820230867868108423044249258804580934562657670579785401335632486876118369336672189914161436528739932305000212516076821523839227911817065974391912603959190435616143267885072548350423835693010936350802555854545779360826284574247920512384235356292025429124537309974140535200078169231662663980466151049036752286463625686962365558238882066479212448423806062284580422675618710946674899663555891640496244911881845824615024082204835523482854156192754067520577482919545162500666308118668030299595373534630542418957344333040114457388298125642271200749089715080706927920132274156182430006269041902117274297106000774929444633354719806293235011497907445141157886162584967809325915331584250801388772800001706339950296081504991391019235155172455132314979167837690652872452697786994148050524321880821395167156533926007099045923821564025910520534518011456690911154673145754357877537442340010758967456933769908465591630393975892738142105702186982292735246260403873909028586620052155050473004657842835546488104308134784347101230357069780285703048596575071959574533748448947490741976469290645652762697722472845536506492980104346951555433887905760153711500910167616335768365946623893359214876643931679486082773206455949395908913433111371187612011533576198498352858313806011885398617371002264886407267701376013247692803037130625156207365022521794909869333206509257046406881133356981084071801845756094804084877894956816214970931121602599261455337912163842420818560407110126566039815686876655911043595706015413205960881373692024398046854064104402048798092557584087028894943399222161900058005999366919522691515760344347831878622589268279623760247975792357140372175036158835523626357236708875498948469127273082825678424473612}
30728 2609753061501885890025848571442523666460319395752740370389540148674318991706577083818467: {798538,951607,1166866,1351372,1412338,1780426,2054287,2088076,2270986,2421271,2971207,3224865,3439856,3839125,3869838,4606950,4617127,4666856,4914080,5086738,5250213,5453386,5528340,5767276,5896896,5987865,6075271,6387056,6439087,6502252,6634008,7093317,7185438,7463259,7829265,8351216,8444425,9111946,9395118,10133310,10206706,10241767,10532501,10571338,10590465,10808864,11145189,11296496,12028426,12159972,12400471,12708558,12759247,13833847,13967626,13969865,14209738,14270385,14727367,14962568,15046430,15221744,15661066,16030732,16331167,16509007,16548917,16763838,16832889,16868746,17124462,17221017,17899016,18055716,18637471,18689601,18991207,19366376,19786665,19956950,20136393,20412076,20413505,20482186,21105776,21494900,21787173,21803506,22161871,22249525,23003026,23038471,23641310,23743998,23948340,24262687,24496206,25397266,25544896,25570601,25793880,25938965,26179327,26233738,26412897,26699430,27134985,27513472,27528033,27665866,27691276,28261906,28369572,28417612,28479392,28738008,28778887,28943984,29018115,29162150,29737641,30272277,30404338,30707000,30727697,30952656,31126758,31320076,31443925,31592338,32039316,32219767,32330259,32561982,32641185,33075487,33417271,33608266,33773300,34545375,34817264,34821738,34994580,35383186,35461927,35665132,35737738,36038425,36529430,36564466,36848400,36918538,37154506,37327552,37456617,37732710,38003167,38143065,38821585,39015127,39169422,39304960,39848936,40248224,40527960,40528207,40685936,40892385,41454450,41993496,42124516,42703471,43229824,43246110,43522149,43618544,43835316,43896710,44218080,44345605,44554738,44830053,45198271,45279252,45593955,45771678,46129184,46482412,46522207,46585902,47136776,47165952,47242683,47347327,48405706,48499471,48500337,48633552,48638092,49042929,49070862,49745340,50709081,50963338,51311506,51543538,51895332,52000718,52097527,52184900,52225132,52676052,53028873,53061281,53061696,53214726,53626089,53721487,54091666,54712746,55617401,55824586,55863176,57429271,57553906,57876177,57910087,58279665,59694408,59968906,60177880,60940207,61098967,62164976,62208271,62621880,62846073,62943052,63063538,63127273,64101727,64623797,64777738,64887607,65006026,65605269,66453967,66796672,67156209,67390327,67423733,67700115,67922572,68195338,69163105,69173006,69935598,70449615,70761676,71796549,71871905,72213456,73494417,73566487,74286740,74330407,74635471,74711865,74940247,75092527,75146256,75550738,75618805,75801830,75888586,76338826,76459807,76535265,76676338,77368087,78024946,78215956,78292865,78545452,79453430,79626617,79692656,80475368,80595375,81140665,81240138,81367276,81637616,82056946,82913385,82995726,83396338,83730826,83898309,84097567,84287986,84539538,84711305,85968400,86246286,86539817,86734738,86739969,87465585,87773167,88440944,89144088,89654238,89796014,89811847,90534789,90536527,90611338,90742566,90942706,90962196,90970471,91259407,91842318,91980487,92046226,92222841,92319710,92699767,93038026,93296624,93951438,94275847,94561471,94951766,95344116,95407276,95701087,95946875,96560985,96663538,96714450,96882706,97368798,98305738,98529967,98633746,98818580,99180106,99184136,99496062,99933607,...,948245596196197977026913295811391111971048010626663739629113416627492934792306629913426826468615173224519677901335597826440972649658585462799726737244429769706586057186629066448863605062349366512270563683645252708870079079187916248869840881906715684777474764311929204078834087492511163369152561877818428889530253601821353390854700463475657858760980619346571457989293730835235644895382360460546871142509055590073581618206102160916803819024023404463505623989763843054755868889699297982355939730093409692372720755320581234903360689967839087762863313161244617866154295779952874559563630675115543481018252995727627300683211814571737997206672005988051697273719055231401603978235782211915062172814378251584669279046287148759163873304454794319781181713977518528820646218342669063562274331381792903937643057594275351839011002120704923620479238553006550418788614294956201526051401314879805918574286397789434602299291587486715855162336860542900837238043778412930443300922993537630436526873647514900985612958351981973949639562127473800445697687281298195785407210779858831078041856730029008355694714692740612219214807785374171775002155000966634765341113316071122057097320661844104651282868554033166426941036235141967354974604897521961628684511797287068980556407212792439452782767076676499586562256641780003235716228514417647749065620863389311765120964723539412712322540452367381309939937680310016797201437189144759867946106993637611615809467622651045744374086189861345150111913475831821848216339353267274893502120979985933308047656256731710600922355479297171188339741951532779775515560555738708332983051215704188087015505555792626511943128274396662493790407042206986856418356170525792092076223684394999037748769274452348571444854015941895864636059588682679563932580378223179886612113078830645461673838432536227485872941364346424076801117679424720006738314762943205368640295796488237826286301341350512737968973377513037601891458667602578572673446524170174786104911277041957082665461882777854589253933943005505461959141212745019934975710785089560141519682877906095011980606229831295780480439015274416444820513678773267489838991976395656892605103819291175680972252284408558434675252479437080831718786051561962106226381981152211297959603025038420123583732031112607497056384813578170741811816626818959348446671676509081218815191719973728458914821523010358819841669387120100229201635251036196873854504369418305279553613444207640961014061525154524670793740229887997477863408829781831911612101970102022214629864080344403405814868834511368241998188157185851792732538453531460187272816351386298864148382269123685051243937824009523156683038510291479505401182600759765204474906881688574456448821280166581281082089034029762818307328046583206343067916407989856639608125061798704010629034070497233702704625936262872242637471490546699438585907916643619602573032291978415615554949544570484749730381109281997884308799534348340543022630198271906862317721872850911349151136581813775971647035234683041003859049505998893532575561327290586955115537137625004524809649046670130363042773126013141411696257271063187670449293977467198470466743935709424058862953742867908216625456544386015515603192999172617696799589795434974641166730346301802162634566373888206871401843986505869678102003448730314177554005008284871242154793109898457500318774115232285758841867725598961587868905938785653424214901827608822525635753539516404526203833781818669041239426861371880768576353034438038143686805964961210802800117253847493995970699226573555128429695438530443548337358323099718818672635709093426870634013428066420012349495333837460744367367822768736922536123307253285224281234289131101280866224379317743750999462178002045449393060301945813628436016499560171686082447188463406801123634572621060391880198411234273645009403562853175911445659001162394166950032079709439852517246861167711736829243877451713988872997376376202083159200002559509925444122257487086528852732758682698472468751756535979308679046680491222075786482821232092750734800889010648568885732346038865780801777017185036366732009718631536816306163510016138451185400654862698387445590963839107213158553280473439102869390605810863542879930078232575709506986764253319732156462202176520651845535604670428554572894862607939361800622673421236112964703935968479144046583709268304759739470156520427333150831858640230567251365251424503652548919935840038822314965897519229124159809683924093863370149667056781418017300364297747529287470709017828097926056503397329610901552064019871539204555695937734311047533782692364803999809763885569610321700035471626107702768634142206127316842435224322456396682403898892183006868245763631227840610665189849059723530314983866565393559023119808941322060538036597070281096156603073197138836376130543342415098833242850087008999050379284037273640516521747817933883902419435640371963688535710558262554238253285439535855063313248422703690909624238517636710418}
30729 2617763887527901827550243967872652569501312074160724270372670588202627977444954444328871: {61454,1197807,1689215,1750299,2027058,2118507,2610095,2670639,3009874,3132114,3406479,3715547,4083499,4299820,5159784,5188807,5588674,5804757,5833570,6142600,6910425,7000284,7209095,7307314,7371120,7582159,7630107,7862528,7983820,8127815,8180079,8292510,8650914,8781058,8845344,9457756,9580584,9753378,9789791,9884434,9951012,10439020,10778157,11999399,12526824,12831346,13092247,13319026,13511080,13568074,13667919,13835327,14092677,14120620,14860252,15199965,15310059,15661639,15856907,15857007,16213296,16944744,16945579,18042639,18239958,18467554,18703210,19027180,19062837,20038415,20461559,20951439,21314607,21377687,22157458,22351784,22373770,22443852,22569645,22832616,22961356,23491599,24046098,24074288,24207970,24919468,25145757,25303119,25325986,25515095,25686693,25794311,26382220,26695279,26848524,26868625,27083574,29049564,29080207,29511274,29935425,30465106,30618114,30723279,31464199,31658664,31931120,32242350,32661608,32705259,34290178,34391840,34504539,34614095,34867819,35168167,35217196,35461965,35522015,35522191,35599240,35600194,35615997,35922510,36137506,36179980,36704044,36744309,37826096,38095899,38166226,38317344,38383750,38690820,39008539,39150095,39350607,39650188,40049145,40363036,41244679,41270208,41498799,41502344,41536914,42216625,42250858,42392859,42493519,42554358,42626418,42719088,43107012,43123426,43415976,43521580,43743225,44581415,45176626,45606507,45977131,46060500,46428984,46659440,46690137,46980114,47388507,48058974,48762559,48842973,48880279,49131200,49212658,49811170,49942156,50310280,50412399,50659950,50857420,52225896,52232607,52491870,52655645,53074779,53247106,53497698,53606607,54037280,54394354,54523180,54760546,54794145,54846699,55252639,55272600,55377807,55731759,55991328,56566978,56599065,56658907,57661480,57934567,58029532,58103015,58447088,58754133,58920970,58957440,59773404,60131291,60372336,60647458,60791940,60797615,61028904,62114536,62181675,62370919,62887936,62990244,63186774,63566026,63620587,64667116,64741807,64844736,64869165,65231125,65281415,65390572,65427816,65752974,65798506,65845065,66101698,66327120,66832107,67612108,67918878,68657517,68715058,69134167,69193776,69723618,69731074,69804754,69828970,69878853,70234736,70415947,70705164,70748928,70952968,71432914,71501452,72608559,72950328,72957138,73606293,74618010,75222350,76041034,76136027,76445007,76967259,77168236,77315307,77385826,77706220,77842998,78001077,78277350,78337698,78678815,78947479,79014078,79511207,79592544,79822089,81137499,81634546,82069119,82274866,82658626,83495840,83736879,83794764,84119387,84903215,85984258,86330859,86786119,87473692,87673771,88399207,88452095,89311186,89541612,89815199,89953359,90098591,90123586,90266820,91139599,92858425,92989066,93247464,93504466,93932820,94414578,94423234,94595307,94930079,95211634,95728732,96284608,96906754,97166607,97509039,97754146,97769945,97992556,98069419,98181815,99615820,...,1422368394294296965540369943717086667956572015939995609443670124941239402188459944870140239702922759836779516852003396739661458974487878194199590105866644654559879085779943599673295407593524049768405845525467879063305118618781874373304761322860073527166212146467893806118251131238766745053728842816727643334295380402732030086282050695213486788141470929019857186983940596252853467343073540690820306713763583385110372427309153241375205728536035106695258435984645764582133803334548946973533909595140114538559081132980871852355041034951758631644294969741866926799231443669929311839345446012673315221527379493591440951024817721857606995810008008982077545910578582847102405967353673317872593259221567377377003918569430723138745809956682191479671772570966277793230969327514003595343411497072689355906464586391413027758516503181057385430718857829509825628182921442434302289077101972319708877861429596684151903448937381230073782743505290814351255857065667619395664951384490306445654790310471272351478419437527972960924459343191210700668546530921947293678110816169788246617062785095043512533542072039110918328822211678061257662503232501449952148011669974106683085645980992766156976924302831049749640411554352712951032461907346282942443026767695930603470834610819188659179174150615014749379843384962670004853574342771626471623598431295083967647681447085309119068483810678551071964909906520465025195802155783717139801919160490456417423714201433976568616561129284792017725167870213747732772324509029900912340253181469978899962071484385097565901383533218945756782509612927299169663273340833608062499474576823556282130523258333688939767914692411594993740685610563310480284627534255788688138114335526592498556623153911678522857167281023912843796954089383024019345898870567334769829918169618245968192510757648804341228809412046519636115201676519137080010107472144414808052960443694732356739429452012025769106953460066269556402837188001403867859010169786255262179157366915562935623998192824166781883880900914508258192938711819117529902463566177634340212279524316859142517970909344746943670720658522911624667230770518159901234758487964593485338907655728936763521458378426612837652012878719155621247578179077342943159339572971728316946939404537557630185375598046668911245584577220367256112717724940228439022670007514763621828222787579960592688372232284515538229762504080680150343802452876554295310781756554127457919330420166311461441521092287731787006190610344831996216795113244672747867418152955153033321944796120516605108722303251767052362997282235778777689098807680297190280909224527079448296222573403685527576865906736014284735024557765437219258101773901139647806712360322532861684673231920249871921623133551044644227460992069874809514601874611984784959412187592698056015943551105745850554056938904394308363956207235820049157878861874965429403859548437967623423332424316855727124595571663922996826463199301522510814533945297407860293476582809276367023726704872720663957470552852024561505788574258998340298863341990935880432673305706437506787214473570005195544564159689019712117544385906594781505673940966200797705700115903564136088294430614301862324938184816579023273404789498758926545199384693152461961750095519452703243951849560832310307102765979758804517153005173095471266331007512427306863232189664847686250478161172848428638262801588398442381803358908178480136322352741413233788453630309274606789305750672728003561859140292057821152864529551657057215530208947441816204200175880771240993956048839860332692644543157795665322506037484649578228008953563640140305951020142099630018524243000756191116551051734153105383804184960879927836421851433696651921299336568976615626499193267003068174089590452918720442654024749340257529123670782695110201685451858931590587820297616851410467514105344279763867168488501743591250425048119564159778775870291751567605243865816177570983309496064564303124738800003839264888166183386230629793279099138024047708703127634803968963018570020736833113679724231848139126102201333515972853328598519058298671202665525777554550098014577947305224459245265024207676778100982294047581168386445758660819737829920710158654304085908716295314319895117348863564260480146379979598234693303264780977768303407005642831859342293911909042700934010131854169447055903952718716069875563902457139609205234780640999726247787960345850877047877136755478823379903760058233472448846278843686239714525886140795055224500585172127025950546446621293931206063526742146889084755095994416352328096029807308806833543906601466571300674038547205999714645828354415482550053207439161554152951213309190975263652836483684595023605848338274510302368645446841760915997784773589585295472475799848090338534679713411983090807054895605421644234904609795708254564195815013622648249864275130513498575568926055910460774782621726900825853629153460557945532803565837393831357379928159303782594969872634055536364436357776455065627}
30730 2625799161638719348947227925514916776138360477975618858205269323719688721736864478843779: {92181,522121,706261,1258249,1597076,1625881,1809589,1903214,2333732,2702744,2824676,3040587,3560852,4108574,4176152,4191241,4514811,4541972,4698171,4842542,5286361,5374775,5832949,5942414,6449730,6879712,7105801,7287349,7678250,7739676,8012821,8383011,8556169,8750355,9213900,9234254,9333712,9828160,9979775,10173476,10500426,10906772,10960971,11056680,11534552,11622901,11793792,11802649,11822195,11975730,12150542,12438765,12774112,12878174,12976371,13004504,13048775,13171587,13268016,13954009,14186634,14370876,14630067,14826651,14926518,15658530,16702432,16888850,17161609,17650775,17871241,18223892,18575315,18579721,18790236,19247019,19287049,19557811,19816789,19978539,20266620,20352111,20413412,20483534,20522101,21050329,21065002,21142676,21180930,21577909,21617728,22290378,22592992,23783975,24056852,24206089,24319944,24800942,25417116,25518494,25601161,25775221,27165109,27359937,27667694,27701331,27935252,27939730,28031449,28054815,28419476,28540770,28578907,28701695,28895989,29068681,29454734,29925136,30092860,30103321,30443488,31149335,31322132,31478809,32061464,32507401,32662334,32977775,33018014,33097834,33236187,33527676,33560655,33665778,33737492,34248924,34386421,34442034,35237641,35798032,36069147,36111432,36256729,36311955,36314551,37274942,37379202,37611481,37982414,37988979,38287129,38455861,38732752,38793109,39573330,39913900,40139221,40272786,40625361,40824152,40827010,40857707,40964372,41815381,41982601,42211552,42989800,43484341,43574346,43607012,43817269,44021495,44266911,44323742,44482261,44499050,45224975,45697659,45880055,45927171,46006052,46076942,46139701,46635529,46800661,47282620,47487996,47896680,48363525,48448021,48525374,48992412,49269001,49562735,49596889,49924489,50453795,50794532,51089792,51141202,51435267,51587760,51877930,52358654,52467476,52825794,53398860,53400291,53883765,53995189,54206259,54269970,54350219,54401975,55026944,55056066,55126921,55331732,55382552,56523812,56739144,56835224,56898229,56958784,57249339,57476016,57557774,57575625,57887968,58036230,58180981,58324300,59299609,59475282,59618569,59777941,60096469,60414709,60544554,60808676,61414000,61455394,61905312,62083847,62253516,62305371,62427695,62640152,62887850,63108121,63184676,63376287,63571775,63738841,63831537,63939627,64078632,64439534,64525621,64660518,64685139,65123964,65282370,65310601,66150974,66834542,67216532,67498969,67546600,67764939,68153975,68277109,68587861,69053449,69090750,69208501,69634528,69643476,69989160,70470171,70554011,70766372,70923854,71330264,71475476,71833369,72076850,72088461,72536915,72601429,73058860,73128932,73673689,73696800,73818987,73837076,73979401,74309012,74604959,74655104,74716755,74913234,75465420,75655669,75959509,75989925,76006334,76286130,76414729,77625481,77643170,77927449,78030254,78338844,78609920,78737805,79132441,79697872,79870659,80183029,80246547,80496448,80781781,80833895,81055920,81056414,81371872,81379381,81591531,81677749,81738215,81784770,82124761,82140819,82273621,82908900,83986992,84202249,84249032,84515135,84850467,85235701,85406942,86118709,86459648,86492220,87044298,87237088,87670632,87793420,87876949,88168981,88381455,88436160,88606489,88691210,89109476,89334229,89376815,89660106,90396542,90494869,90558504,90971187,91073461,91187910,91543356,92258368,92964824,93044414,93171804,94092169,94273552,94331904,94485366,94694654,94780161,95091349,95349039,96087001,96228949,96460295,96811412,96828347,96998942,97000674,97132775,97267104,97276184,98085858,98141724,98208661,98629461,98697759,99152547,99333589,99490680,...,1896491192392395954053826591622782223942096021253327479258226833254985869584613259826853652937230346449039355802671195652881945299317170925599453474488859539413172114373258132897727210124698733024541127367290505417740158158375832497739681763813431369554949528623858408157668174985022326738305123755636857779060507203642706781709400926951315717521961238693142915978587461670471289790764720921093742285018111180147163236412204321833607638048046808927011247979527686109511737779398595964711879460186819384745441510641162469806721379935678175525726626322489235732308591559905749119127261350231086962036505991455254601366423629143475994413344011976103394547438110462803207956471564423830124345628756503169338558092574297518327746608909588639562363427955037057641292436685338127124548662763585807875286115188550703678022004241409847240958477106013100837577228589912403052102802629759611837148572795578869204598583174973431710324673721085801674476087556825860886601845987075260873053747295029801971225916703963947899279124254947600891395374562596391570814421559717662156083713460058016711389429385481224438429615570748343550004310001933269530682226632142244114194641323688209302565737108066332853882072470283934709949209795043923257369023594574137961112814425584878905565534153352999173124513283560006471432457028835295498131241726778623530241929447078825424645080904734762619879875360620033594402874378289519735892213987275223231618935245302091488748172379722690300223826951663643696432678706534549787004241959971866616095312513463421201844710958594342376679483903065559551031121111477416665966102431408376174031011111585253023886256548793324987580814084413973712836712341051584184152447368789998075497538548904697142889708031883791729272119177365359127865160756446359773224226157661290923347676865072454971745882728692848153602235358849440013476629525886410737280591592976475652572602682701025475937946755026075203782917335205157145346893048340349572209822554083914165330923765555709178507867886011010923918282425490039869951421570179120283039365755812190023961212459662591560960878030548832889641027357546534979677983952791313785210207638582351361944504568817116869350504958874161663437572103123924212452763962304422595919206050076840247167464062225214994112769627156341483623633253637918696893343353018162437630383439947456917829643046020717639683338774240200458403270502072393747709008738836610559107226888415281922028123050309049341587480459775994955726817659563663823224203940204044429259728160688806811629737669022736483996376314371703585465076907062920374545632702772597728296764538247370102487875648019046313366077020582959010802365201519530408949813763377148912897642560333162562164178068059525636614656093166412686135832815979713279216250123597408021258068140994467405409251872525744485274942981093398877171815833287239205146064583956831231109899089140969499460762218563995768617599068696681086045260396543813724635443745701822698302273163627551943294070469366082007718099011997787065151122654581173910231074275250009049619298093340260726085546252026282823392514542126375340898587954934396940933487871418848117725907485735816433250913088772031031206385998345235393599179590869949282333460692603604325269132747776413742803687973011739356204006897460628355108010016569742484309586219796915000637548230464571517683735451197923175737811877571306848429803655217645051271507079032809052407667563637338082478853722743761537152706068876076287373611929922421605600234507694987991941398453147110256859390877060887096674716646199437637345271418186853741268026856132840024698990667674921488734735645537473845072246614506570448562468578262202561732448758635487501998924356004090898786120603891627256872032999120343372164894376926813602247269145242120783760396822468547290018807125706351822891318002324788333900064159418879705034493722335423473658487754903427977745994752752404166318400005119019850888244514974173057705465517365396944937503513071958617358093360982444151572965642464185501469601778021297137771464692077731561603554034370072733464019437263073632612327020032276902370801309725396774891181927678214426317106560946878205738781211621727085759860156465151419013973528506639464312924404353041303691071209340857109145789725215878723601245346842472225929407871936958288093167418536609519478940313040854666301663717280461134502730502849007305097839871680077644629931795038458248319619367848187726740299334113562836034600728595495058574941418035656195852113006794659221803104128039743078409111391875468622095067565384729607999619527771139220643400070943252215405537268284412254633684870448644912793364807797784366013736491527262455681221330379698119447060629967733130787118046239617882644121076073194140562192313206146394277672752261086684830197666485700174017998100758568074547281033043495635867767804838871280743927377071421116525108476506570879071710126626496845407381819248477035273420836}
30731 2633858958016595220590090080338284308823468726606620594734438454877970708420707609154290: {122908,1996345,2364901,2395614,2854821,2917165,3378430,3500598,3530845,3654133,4054116,4237014,4391101,4451065,5220190,5341278,5677465,5741461,6019748,6162861,6264228,6812958,7263813,7431094,7766341,8166998,8599640,8871433,8913621,9674595,10092733,10319568,10377614,10464949,11177348,11378941,11517375,11569753,11609514,11667140,12285200,12716845,13411093,13633465,13820850,13851381,14000568,14418190,14510221,14614628,14742240,15164318,15260214,15725056,15750639,15967640,16255630,16350841,16360158,16585020,17301828,17562116,17690688,17963595,18225813,18739981,18915512,19161168,19295833,19317261,19506756,19579582,19768868,19898989,19902024,20878040,21279951,21556314,21872701,22389777,22420501,22779865,23487795,23892709,23936869,23998798,25053648,25333275,25516765,25662692,26101021,26184494,26428345,26638052,27022160,27136148,27335838,27573229,27625561,27670654,27971581,28053781,28185354,28241240,29720504,29987749,30071065,30399930,30620118,30725301,31323278,31597503,31713814,31714014,31771395,32426592,33144541,33435567,33889488,33891158,34919065,35524345,35721133,36085278,36455929,36479916,36935108,36986101,37201413,37406420,37616075,38054360,38125674,38277741,39152665,40076830,40923118,41501541,41590693,41902878,41909595,42171865,42629214,42738421,42755374,42811155,43220341,44182101,44314916,44703568,44747540,44887704,45139290,45665232,45922712,46983198,47107513,48092196,48148576,48415940,48459733,48993501,49527021,49646751,49730821,49838936,49892375,50030221,50291514,50498667,50606238,50651972,51030190,51205465,51373386,51520969,51588622,51663051,52430173,52764440,53390558,53697048,53737250,54167148,54508765,54788701,54810133,55912413,56068803,56125861,56973621,57507565,58099128,58160414,59022548,59049061,59103275,59359995,59870850,60409179,60803149,60930212,61236228,61240515,61446558,62413981,62928398,63069229,63317328,63493165,63862240,64141429,64484700,65323216,65361519,65410518,65584345,66485613,66574201,66748575,67677133,68580356,68783680,69009078,69115413,69164665,69228190,69735638,70336334,70434392,70654765,70811389,70923930,71044030,71044382,71064253,71198480,71200388,71213833,71231994,71845020,72275012,72359960,72788061,72905375,73408088,73488618,73717903,74096389,74809141,75652192,76010845,76141021,76191798,76301821,76332452,76634688,76711803,76767500,76806829,77381640,77816895,78017078,78300190,78537981,78701214,78980845,79238691,79300376,80098290,80726072,81344221,81404955,81556633,82489358,82540416,82584099,82997598,83004688,83073828,84020665,84124909,84433250,84501716,84785718,84987038,85108716,85116661,85252836,85438176,86214024,86246852,86336661,86831952,87043160,87054345,87486450,88457965,89162830,89212923,89344345,89978941,90353252,90768469,90816831,91213014,91323575,91393981,91411165,91954262,92121000,92128501,92183091,92296345,92857968,92886265,93318880,93380274,93960228,94331775,94777014,96117948,96659301,96704473,96990777,97525118,97685946,97760558,97923555,98066221,98262400,98425316,99226461,99413821,99622340,99884312,...,2844736788588593931080739887434173335913144031879991218887340249882478804376919889740280479405845519673559033704006793479322917948975756388399180211733289309119758171559887199346590815187048099536811691050935758126610237237563748746609522645720147054332424292935787612236502262477533490107457685633455286668590760805464060172564101390426973576282941858039714373967881192505706934686147081381640613427527166770220744854618306482750411457072070213390516871969291529164267606669097893947067819190280229077118162265961743704710082069903517263288589939483733853598462887339858623678690892025346630443054758987182881902049635443715213991620016017964155091821157165694204811934707346635745186518443134754754007837138861446277491619913364382959343545141932555586461938655028007190686822994145378711812929172782826055517033006362114770861437715659019651256365842884868604578154203944639417755722859193368303806897874762460147565487010581628702511714131335238791329902768980612891309580620942544702956838875055945921848918686382421401337093061843894587356221632339576493234125570190087025067084144078221836657644423356122515325006465002899904296023339948213366171291961985532313953848605662099499280823108705425902064923814692565884886053535391861206941669221638377318358348301230029498759686769925340009707148685543252943247196862590167935295362894170618238136967621357102143929819813040930050391604311567434279603838320980912834847428402867953137233122258569584035450335740427495465544649018059801824680506362939957799924142968770195131802767066437891513565019225854598339326546681667216124998949153647112564261046516667377879535829384823189987481371221126620960569255068511577376276228671053184997113246307823357045714334562047825687593908178766048038691797741134669539659836339236491936385021515297608682457618824093039272230403353038274160020214944288829616105920887389464713478858904024051538213906920132539112805674376002807735718020339572510524358314733831125871247996385648333563767761801829016516385877423638235059804927132355268680424559048633718285035941818689493887341441317045823249334461541036319802469516975929186970677815311457873527042916756853225675304025757438311242495156358154685886318679145943456633893878809075115260370751196093337822491169154440734512225435449880456878045340015029527243656445575159921185376744464569031076459525008161360300687604905753108590621563513108254915838660840332622922883042184575463574012381220689663992433590226489345495734836305910306066643889592241033210217444606503534104725994564471557555378197615360594380561818449054158896592445146807371055153731813472028569470049115530874438516203547802279295613424720645065723369346463840499743843246267102089288454921984139749619029203749223969569918824375185396112031887102211491701108113877808788616727912414471640098315757723749930858807719096875935246846664848633711454249191143327845993652926398603045021629067890594815720586953165618552734047453409745441327914941105704049123011577148517996680597726683981871760865346611412875013574428947140010391089128319378039424235088771813189563011347881932401595411400231807128272176588861228603724649876369633158046546809578997517853090398769386304923923500191038905406487903699121664620614205531959517609034306010346190942532662015024854613726464379329695372500956322345696857276525603176796884763606717816356960272644705482826467576907260618549213578611501345456007123718280584115642305729059103314114431060417894883632408400351761542481987912097679720665385289086315591330645012074969299156456017907127280280611902040284199260037048486001512382233102103468306210767608369921759855672843702867393303842598673137953231252998386534006136348179180905837440885308049498680515058247341565390220403370903717863181175640595233702820935028210688559527734336977003487182500850096239128319557551740583503135210487731632355141966618992129128606249477600007678529776332366772461259586558198276048095417406255269607937926037140041473666227359448463696278252204402667031945706657197038116597342405331051555109100196029155894610448918490530048415353556201964588095162336772891517321639475659841420317308608171817432590628639790234697727128520960292759959196469386606529561955536606814011285663718684587823818085401868020263708338894111807905437432139751127804914279218410469561281999452495575920691701754095754273510957646759807520116466944897692557687372479429051772281590110449001170344254051901092893242587862412127053484293778169510191988832704656192059614617613667087813202933142601348077094411999429291656708830965100106414878323108305902426618381950527305672967369190047211696676549020604737290893683521831995569547179170590944951599696180677069359426823966181614109791210843288469809219591416509128391630027245296499728550261026997151137852111820921549565243453801651707258306921115891065607131674787662714759856318607565189939745268111072728872715552910131254}
30732 2641943351067576354695227427160612157946600759851371452224416465167303815822370522036096: {153635,184362,583547,890387,1044242,1319627,1412522,1870931,2176931,2516498,2543867,2727227,3093731,3194152,3251762,3593421,3619178,3806428,4252427,4667464,5067645,5250897,5286707,5405488,5468987,5649352,5894027,6081174,6355521,6803507,7121704,7287827,7348331,7524685,7830285,8011917,8013347,8217148,8352304,8382482,8617067,9029622,9083944,9396342,9685084,10219437,10572722,10749550,11146641,11665898,11884828,12250497,12402107,12701147,12899460,13298627,13759424,13954931,13971685,14014547,14211602,14491187,14574698,14583925,14848331,15356500,15383507,15479352,15566421,15739931,16025642,16551073,16766022,16985147,17112338,17221931,17414271,17500710,17872427,18049667,18268285,18427800,18462947,18468508,18639947,18667424,19288331,19347227,19656320,19876931,19959550,20229707,20346952,20731275,21000852,21579347,21627285,21813544,21921942,21952645,22113360,22281827,22746477,22890321,23069104,23158307,23245802,23587584,23605298,23644390,23951460,24265931,24301084,24383445,24540237,24711085,24877530,25486787,25548224,25660907,25756348,25952742,26005441,26009008,26097550,26298731,26343174,26536032,27686987,27908018,28373268,28741752,28897931,29260134,29369373,29473331,29653302,29853036,29990507,31137467,31317060,31480931,31538147,31709747,32078365,32334471,32338331,32680787,33297565,33404864,33777700,33920185,34047731,34323218,34388747,35301550,35466731,35742482,35998197,36315731,36447784,36824267,37106507,37150630,37159442,37580472,37670387,37952027,38345987,38494038,38574098,38851931,39115622,39276741,39633578,39957078,40182373,40533240,40704222,40826824,40967068,41003757,41036867,41044202,41505981,41873987,42100658,42130004,42278031,42285352,42361860,43155818,43235456,43320731,43542827,43609069,44152931,44485307,44580756,44706731,45185984,45314987,45480707,45599895,45930177,46032587,46168885,46638731,46758025,46858907,46984917,47567950,47570721,47571021,48113704,48286381,48412178,48506147,48639888,49327067,49600307,49601884,49982507,50800187,50834232,50836737,51036988,51202322,51550442,51616067,52375931,52701107,52917731,53728931,54052907,54127917,54330218,54484427,54719874,55335388,55393645,55402662,55870504,55879460,55934425,56062898,56109630,56741507,56838952,56902187,57081540,57157814,57188511,57403390,57544187,57791978,58137362,58238387,58909468,59144147,59303747,59675867,59835227,59850272,60115245,60185720,60206642,60418931,60471947,60519925,60886976,60895787,61213331,61384677,61530587,61630093,61741931,62298670,62644264,62854317,62957618,63314965,63795827,63943821,64122928,64133061,64232077,64582547,65014802,65210627,65324668,65955550,66036028,66195668,66411227,66472374,67055352,67121310,67331556,67474984,67503731,67555667,67708935,68497848,68592707,68772842,68884068,69387829,70474797,70475282,70635313,70657187,71119931,71376731,71596064,71838467,71889731,72138294,72222864,72513458,72623910,72629102,73372907,73678931,73778185,73984667,74549884,74747747,74758404,75222962,75437271,75909357,75964828,75977958,76015547,76162765,76470731,76545285,76574258,76911722,76925267,77060079,77382933,77465504,77586218,77933027,77983331,79146660,79827800,80085837,80278442,80545572,80605875,80937107,81250722,81648304,81654020,81683627,81715414,81928744,82031387,82428347,83171267,83382013,83630762,83965202,84208331,84423104,85143587,85725445,85979600,86173931,86968682,87148692,87214024,87240621,87398773,87634538,87639731,87883331,88042990,88169497,88175387,88533822,88647484,88964522,88998100,89000485,89340731,89389187,89806275,90343765,90449950,90549731,91080107,91395318,91760110,91854342,92012104,92153884,92169837,92233931,92279402,93271058,93601322,93717467,94099067,94384931,94392597,94565240,94975992,95098331,95415565,95793360,95959375,96283331,96727050,96896042,97050748,97984824,98115777,98215907,98538002,99060107,99125470,99193778,99340931,99387707,99848978,...,4267105182882890896621109831151260003869716047819986828331010374823718206565379834610420719108768279510338550556010190218984376923463634582598770317599933963679637257339830799019886222780572149305217536576403637189915355856345623119914283968580220581498636439403681418354753393716300235161186528450182930002886141208196090258846152085640460364424412787059571560951821788758560402029220622072460920141290750155331117281927459724125617185608105320085775307953937293746401410003646840920601728785420343615677243398942615557065123104855275894932884909225600780397694331009787935518036338038019945664582138480774322853074453165572820987430024026946232637731735748541307217902061019953617779777664702132131011755708292169416237429870046574439015317712898833379692907982542010786030234491218068067719393759174239083275549509543172156292156573488529476884548764327302906867231305916959126633584288790052455710346812143690221348230515872443053767571197002858186994854153470919336964370931413817054435258312583918882773378029573632102005639592765841881034332448509364739851188355285130537600626216117332754986466635034183772987509697504349856444035009922320049256937942978298470930772908493149248921234663058138853097385722038848827329080303087791810412503832457565977537522451845044248139530154888010014560723028314879414870795293885251902943044341255927357205451432035653215894729719561395075587406467351151419405757481471369252271142604301929705849683387854376053175503610641243198316973527089702737020759544409936699886214453155292697704150599656837270347528838781897508989820022500824187498423730470668846391569775001066819303744077234784981222056831689931440853882602767366064414343006579777495669869461735035568571501843071738531390862268149072058037696611702004309489754508854737904577532272946413023686428236139558908345605029557411240030322416433244424158881331084197070218288356036077307320860380198808669208511564004211603577030509358765786537472100746688806871994578472500345651642702743524774578816135457352589707390698532903020636838572950577427553912728034240831012161975568734874001692311554479703704275463893780456016722967186810290564375135279838512956038636157466863742734537232028829478018718915184950840818213612672890556126794140006733736753731661101768338153174820685317068010022544290865484668362739881778065116696853546614689287512242040451031407358629662885932345269662382373757991260498934384324563276863195361018571831034495988650385339734018243602254458865459099965834388361549815326166909755301157088991846707336333067296423040891570842727673581238344888667720211056582730597720208042854205073673296311657774305321703418943420137080967598585054019695760749615764869400653133932682382976209624428543805623835954354878236562778094168047830653317237551662170816713182925091868621707460147473636585624896288211578645313902870269997272950567181373786714991768990479389597904567532443601835892223580880429748427829101071180114618161991872411658556073684517365722776995020896590025972807641298019917119312520361643420710015586633692479067059136352633157719784344517021822898602393117100347710692408264883291842905586974814554449737069820214368496276779635598154079457385885250286558358109731855548682496930921308297939276413551459015519286413798993022537281920589696568994543058751434483518545285914788404765195327145410076724535440408967058224239701365360890927823820367917252018184010685577420876173463458593588654971171646590626842325448612600527642313722981868146519580998077933629473386995967518112453948734684026860690920420917853060426298890055572729002268573349653155202459316151412554882639783509265554301089955763898009706929846879497579801009204522268771358756161327962074248020772587371012348085330605056355576794771763460892850554231402542316032839291601505465505230773751275144358692479336327610875254702815731597448532712949928488193692909374216400011517794664498550158691889379837297414072143126109382904411906889055710062210499341039172695544417378306604000547918559985795557174896013607996577332663650294043733841915673377735795072623030334302946882142743505159337275982459213489762130475962912257726148885942959685352046590692781440439139938794704079909794342933304910221016928495578026881735727128102802030395562508341167711858156148209626691707371418827615704341922999178743363881037552631143631410266436470139711280174700417346538836531058719143577658422385165673501755516381077851639339863881793618190580226440667254265287983249056984288089421926420500631719804399713902022115641617999143937485063246447650159622317484662458853639927572925790958509451053785070817545014823530907105936340525282747993354320768755886417427399544271015604039140235949272421164686816264932704713829387124763692587445040867944749592825391540495726706778167731382324347865180702477560887460381673836598410697512181494072139784477911347784909617902166609093309073329365196881}
30733 2650052415422171030626884804990577801571455703520116645493454666067826440177486872120965: {245816,276543,1566363,2118783,2794883,3774747,3992690,4084031,4729802,4758035,4791228,4877643,4943183,5189483,5428767,5709642,5834330,6231491,6416927,6756860,6785363,7001196,7061690,7308266,7948451,8108232,8474028,8782202,8902130,9121761,9178403,9915131,10271435,10440380,10682556,11354930,11482922,12039496,12106355,12325722,12367667,12528456,12573723,13544433,13625916,14094513,14527626,14856035,14862188,15532682,15859083,16124325,16333996,17148443,17199280,17498847,17742866,17803583,17827242,19086851,19195625,19349190,20185466,20573531,20639136,20755228,20929898,21317403,21565931,21862047,22354696,22757882,23034750,23085635,23139506,23219028,23334280,23516987,24038463,24570400,24611147,25058207,25149033,25433690,25668507,26251065,26628767,26822186,27266930,27641700,27702762,28001136,28289027,28836380,29020442,29229256,29474831,29484480,29939325,30328636,30376355,30520428,30875627,31450112,31501278,31891811,31935280,32195435,32511260,32701682,32720316,32882913,33057323,33170040,34603656,34868703,34909211,35124232,35381376,35407947,35440067,35466585,35723471,35927190,36451626,36999683,37316295,37479962,37831024,38027963,38234267,38322336,38591666,38634522,38929113,38970131,39013512,39146325,39159164,39514761,39537736,39797978,39804048,41145491,41337407,41756080,41862027,42099491,42222125,42559902,43000547,43112628,43745402,43890201,44479953,44779554,44841002,45559730,46975590,47220863,47785418,47873738,47997596,48305087,48886691,49734083,50107296,50356307,50509043,50666550,51033530,51208835,51325384,51439523,51484827,52202042,52368988,52662505,52856690,52952325,53276104,53298611,53613723,54034187,54044320,54207467,54272296,54671676,54792287,54813731,55146458,55251122,55341308,55656527,55725945,55739163,55943162,56046047,56107562,56370708,56482480,57741057,57861147,58673433,59040611,59441008,59450367,59527691,59935617,59975498,60090923,60142130,60799860,61056333,61240236,61450602,61566303,61929503,62002355,62646556,63150987,63195006,63427628,63428028,63542790,63796235,64733727,64750283,64813067,64845827,64853184,66289082,66330563,66871134,66880571,67418831,67778976,67782316,69169235,69821723,69838130,69849325,71048690,71351925,71442266,71687651,71858267,72170556,72253451,72618267,72911858,72959832,73636835,73870216,73972202,74402826,74812840,75232150,75803507,76108720,76251348,76312271,76555482,76608131,76803483,76811867,77325663,77710847,78305330,79591931,80153660,80510591,81495327,81561971,81655835,81846236,82079811,82545035,82744585,83003082,83103993,83181386,83686187,83805756,83819190,84094347,84164445,84343730,84662363,85258428,85476842,85510748,85622310,85736721,86105085,86440682,86687967,87206043,88364202,88410803,88629832,88890431,89407136,89495080,89775408,89984843,90278580,90309963,90771707,91151531,91330464,91818083,91845424,93187355,93448005,93966396,94215026,94436427,94956035,96184392,96297152,96830531,96831880,96919466,97522203,97987002,98916671,98933325,99054042,99293502,99420347,99461642,99677872,99708561,99784750,...,5689473577177187862161479774868346671826288063759982437774680499764957608753839779480560958811691039347118067408013586958645835897951512776798360423466578618239516343119774398693181630374096199073623382101871516253220474475127497493219045291440294108664848585871575224473004524955066980214915371266910573337181521610928120345128202780853947152565883716079428747935762385011413869372294162763281226855054333540441489709236612965500822914144140426781033743938583058328535213338195787894135638380560458154236324531923487409420164139807034526577179878967467707196925774679717247357381784050693260886109517974365763804099270887430427983240032035928310183642314331388409623869414693271490373036886269509508015674277722892554983239826728765918687090283865111172923877310056014381373645988290757423625858345565652111034066012724229541722875431318039302512731685769737209156308407889278835511445718386736607613795749524920295130974021163257405023428262670477582659805537961225782619161241885089405913677750111891843697837372764842802674186123687789174712443264679152986468251140380174050134168288156443673315288846712245030650012930005799808592046679896426732342583923971064627907697211324198998561646217410851804129847629385131769772107070783722413883338443276754636716696602460058997519373539850680019414297371086505886494393725180335870590725788341236476273935242714204287859639626081860100783208623134868559207676641961825669694856805735906274466244517139168070900671480854990931089298036119603649361012725879915599848285937540390263605534132875783027130038451709196678653093363334432249997898307294225128522093033334755759071658769646379974962742442253241921138510137023154752552457342106369994226492615646714091428669124095651375187816357532096077383595482269339079319672678472983872770043030595217364915237648186078544460806706076548320040429888577659232211841774778929426957717808048103076427813840265078225611348752005615471436040679145021048716629467662251742495992771296667127535523603658033032771754847276470119609854264710537360849118097267436570071883637378987774682882634091646498668923082072639604939033951858373941355630622915747054085833513706451350608051514876622484990312716309371772637358291886913267787757618150230520741502392186675644982338308881469024450870899760913756090680030059054487312891150319842370753488929138062152919050016322720601375209811506217181243127026216509831677321680665245845766084369150927148024762441379327984867180452978690991469672611820612133287779184482066420434889213007068209451989128943115110756395230721188761123636898108317793184890293614742110307463626944057138940098231061748877032407095604558591226849441290131446738692927680999487686492534204178576909843968279499238058407498447939139837648750370792224063774204422983402216227755617577233455824828943280196631515447499861717615438193751870493693329697267422908498382286655691987305852797206090043258135781189631441173906331237105468094906819490882655829882211408098246023154297035993361195453367963743521730693222825750027148857894280020782178256638756078848470177543626379126022695763864803190822800463614256544353177722457207449299752739266316093093619157995035706180797538772609847847000382077810812975807398243329241228411063919035218068612020692381885065324030049709227452928758659390745001912644691393714553051206353593769527213435632713920545289410965652935153814521237098427157223002690912014247436561168231284611458118206628228862120835789767264816800703523084963975824195359441330770578172631182661290024149938598312912035814254560561223804080568398520074096972003024764466204206936612421535216739843519711345687405734786607685197346275906462505996773068012272696358361811674881770616098997361030116494683130780440806741807435726362351281190467405641870056421377119055468673954006974365001700192478256639115103481167006270420975463264710283933237984258257212498955200015357059552664733544922519173116396552096190834812510539215875852074280082947332454718896927392556504408805334063891413314394076233194684810662103110218200392058311789220897836981060096830707112403929176190324673545783034643278951319682840634617216343634865181257279580469395454257041920585519918392938773213059123911073213628022571327437369175647636170803736040527416677788223615810874864279502255609828558436820939122563998904991151841383403508191508547021915293519615040232933889795385115374744958858103544563180220898002340688508103802185786485175724824254106968587556339020383977665409312384119229235227334175626405866285202696154188823998858583313417661930200212829756646216611804853236763901054611345934738380094423393353098041209474581787367043663991139094358341181889903199392361354138718853647932363228219582421686576939618439182833018256783260054490592999457100522053994302275704223641843099130486907603303414516613842231782131214263349575325429519712637215130379879490536222145457745431105820262508}
30734 2658186225936022117780116157537743610796818777509645096549337337105228722640754628872408: {215089,307270,368724,951793,1135789,1167094,1780774,2088484,2238253,2639254,2825044,2971789,3154993,3741862,4353862,4800589,5032996,5087734,5454454,5530093,5989035,6187462,6388304,6503524,7094703,7186842,7238356,7348813,7612856,8446075,8504854,8564463,8751495,9334928,9341089,10063393,10135290,10501794,10534559,10573414,10592535,10810976,10937974,10962399,11144689,11298704,11788054,12162348,12711042,12761773,13050475,13173303,13353195,13607014,14015473,14243408,14575654,14696662,15049370,15660570,15800353,16023834,16026694,16434296,16512289,16704608,16764964,17032395,17224383,17234134,18059244,18109933,18167888,18488583,18577735,18792684,18994993,19348513,19370168,19560359,20417495,20438874,21145444,21499100,21791439,22293282,22517233,23299023,23331796,23568289,23769656,24500994,24804214,25402294,25488493,25575599,25798920,25944035,26358433,26597254,26614299,26740863,27518848,27909862,27943370,28029094,28423204,28982374,29023785,29149396,29167850,29696662,30278199,30713000,30733703,30767014,30958704,31132842,31196833,31394847,31479862,31540273,32051284,32397613,33102146,33253153,33532044,33970294,34106893,34136823,34224676,34443862,34552125,34595519,34709259,34828542,35001420,35744854,36045475,36099334,36536570,36855600,36925894,36937016,37279894,37334848,37910795,38010913,38150535,38179789,38576662,38694454,39312640,39753862,39919100,40233279,40459414,40639075,40693904,40900395,41462550,41554143,41709553,42001704,42378289,43158694,43254570,43379233,43530663,43627088,43843884,43905290,44226720,44563654,44909711,45041713,45492954,45704689,45780642,46138208,46316614,46491604,46531789,46616591,47175168,47210596,47251917,47288780,47488259,47902920,48180589,48531862,48602168,48766890,48948955,49052523,49080474,49422170,49755060,50973574,51096448,51321814,51512696,51905484,52010882,52018016,52108333,52195100,52597462,52686348,53072064,53890785,53894689,54677439,55373974,55816036,56219943,56746536,57065723,57483504,57761953,57795862,57887499,57951783,58520268,58738746,58946662,59306604,59696967,59706072,59981014,59996995,60476173,60952993,61111789,61270513,61746253,62274934,62634120,62961862,63076294,63327373,63419494,63839853,64156730,64636439,64668942,64676662,65058289,65361574,65461235,65618103,66468013,66595130,66624289,66809728,67169331,67261503,67555400,67560433,67840370,68095462,68339595,68646436,68777494,68959789,69176635,70463385,70603100,70933462,71484964,71678127,71810607,71894833,71996394,72631462,72895568,73648534,74213014,74301260,74318884,74346289,75108589,75160944,75260833,75340774,75869089,75904054,75999825,76550295,76691974,76988076,77148196,77384689,77551103,77703862,77988913,78231244,78303063,78308195,78553482,79043533,79267156,79284535,79285035,79494433,79914156,80364746,80394289,81066480,81142189,81408444,81653648,81934136,82007514,82073734,82088404,82483873,82719687,82876683,83011962,83226733,83747974,83914743,84115789,84161343,84201316,84260008,84556062,84570704,84707053,84723720,84727895,85407487,86311636,86470912,86641462,87085654,87218138,88305862,88640951,88970614,89161512,89395693,89413462,89963247,90213195,90371968,90629974,90701089,90961414,91199790,91860354,92065174,92175903,92288653,92337770,93277462,93516050,93717814,93969834,94296589,94439473,94792509,95135900,95141442,95142042,95314185,96227408,96572762,96824356,97012294,97279776,97560331,97847089,98410993,98542379,98654134,98692513,99200614,99203768,99395053,99433623,99815713,99965014,...,8534210365765781793242219662302520007739432095639973656662020749647436413130759669220841438217536559020677101112020380437968753846927269165197540635199867927359274514679661598039772445561144298610435073152807274379830711712691246239828567937160441162997272878807362836709506787432600470322373056900365860005772282416392180517692304171280920728848825574119143121903643577517120804058441244144921840282581500310662234563854919448251234371216210640171550615907874587492802820007293681841203457570840687231354486797885231114130246209710551789865769818451201560795388662019575871036072676076039891329164276961548645706148906331145641974860048053892465275463471497082614435804122039907235559555329404264262023511416584338832474859740093148878030635425797666759385815965084021572060468982436136135438787518348478166551099019086344312584313146977058953769097528654605813734462611833918253267168577580104911420693624287380442696461031744886107535142394005716373989708306941838673928741862827634108870516625167837765546756059147264204011279185531683762068664897018729479702376710570261075201252432234665509972933270068367545975019395008699712888070019844640098513875885956596941861545816986298497842469326116277706194771444077697654658160606175583620825007664915131955075044903690088496279060309776020029121446056629758829741590587770503805886088682511854714410902864071306431789459439122790151174812934702302838811514962942738504542285208603859411699366775708752106351007221282486396633947054179405474041519088819873399772428906310585395408301199313674540695057677563795017979640045001648374996847460941337692783139550002133638607488154469569962444113663379862881707765205534732128828686013159554991339738923470071137143003686143477062781724536298144116075393223404008618979509017709475809155064545892826047372856472279117816691210059114822480060644832866488848317762662168394140436576712072154614641720760397617338417023128008423207154061018717531573074944201493377613743989156945000691303285405487049549157632270914705179414781397065806041273677145901154855107825456068481662024323951137469748003384623108959407408550927787560912033445934373620581128750270559677025912077272314933727485469074464057658956037437830369901681636427225345781112253588280013467473507463322203536676306349641370634136020045088581730969336725479763556130233393707093229378575024484080902062814717259325771864690539324764747515982520997868768649126553726390722037143662068991977300770679468036487204508917730918199931668776723099630652333819510602314177983693414672666134592846081783141685455347162476689777335440422113165461195440416085708410147346592623315548610643406837886840274161935197170108039391521499231529738801306267865364765952419248857087611247671908709756473125556188336095661306634475103324341633426365850183737243414920294947273171249792576423157290627805740539994545901134362747573429983537980958779195809135064887203671784447161760859496855658202142360229236323983744823317112147369034731445553990041793180051945615282596039834238625040723286841420031173267384958134118272705266315439568689034043645797204786234200695421384816529766583685811173949629108899474139640428736992553559271196308158914771770500573116716219463711097364993861842616595878552827102918031038572827597986045074563841179393137989086117502868967037090571829576809530390654290820153449070880817934116448479402730721781855647640735834504036368021371154841752346926917187177309942343293181253684650897225201055284627445963736293039161996155867258946773991935036224907897469368053721381840841835706120852597780111145458004537146699306310404918632302825109765279567018531108602179911527796019413859693758995159602018409044537542717512322655924148496041545174742024696170661210112711153589543526921785701108462805084632065678583203010931010461547502550288717384958672655221750509405631463194897065425899856976387385818748432800023035589328997100317383778759674594828144286252218765808823813778111420124420998682078345391088834756613208001095837119971591114349792027215993154665327300588087467683831346755471590145246060668605893764285487010318674551964918426979524260951925824515452297771885919370704093181385562880878279877589408159819588685866609820442033856991156053763471454256205604060791125016682335423716312296419253383414742837655231408683845998357486727762075105262287262820532872940279422560349400834693077673062117438287155316844770331347003511032762155703278679727763587236381160452881334508530575966498113968576178843852841001263439608799427804044231283235998287874970126492895300319244634969324917707279855145851581917018902107570141635090029647061814211872681050565495986708641537511772834854799088542031208078280471898544842329373632529865409427658774249527385174890081735889499185650783080991453413556335462764648695730361404955121774920763347673196821395024362988144279568955822695569819235804333218186618146658730393762}
30735 2666344857690582305976133211731812049249979283477894792369516289753677781084799039699532: {460905,491632,553086,1750641,2610605,2671161,3132726,3531305,3716273,3958881,4237566,5589766,5612793,5742209,6291245,6530793,6661249,7549494,7583641,7631601,7985380,8129405,8168062,8181681,9047945,9281193,9459604,9516070,9582456,9755286,9886366,10378966,10780263,10857534,11081617,11419284,11668660,12462982,12757281,12833854,13513720,13570726,14002392,14123380,14380009,14616532,15129677,15202935,15752691,15860009,15860121,15896902,16216464,16234481,16406961,16948056,16948897,17564404,17682081,17804260,17881193,18243522,18356806,19066563,19830262,20410521,20542870,20798449,20880760,20956205,21365112,21381869,21863481,22044993,22574055,22709860,22965844,23490855,24035751,24040041,24078992,24212710,24314173,24506129,24651444,24735334,25056912,25147446,25799357,25851201,26431805,26873875,27088866,27251832,28189026,28922753,29055252,29085901,29164745,29712070,29724376,30658311,31065364,31470361,31718166,32248650,32319889,32667992,33439923,34296886,34398560,34997694,35485732,35529005,35607166,35654484,36436745,36751491,37206321,38103441,38173702,38391250,38698380,39016177,39895881,40064105,40370932,40871113,41147062,41278272,41510456,41859796,41864793,41915055,41974909,42043641,42501841,42526897,42634806,42780845,43131862,43473561,43724094,43751775,44084513,44544993,44709392,45073609,45515764,45986137,46069500,46150521,46171270,46279012,46438056,46668560,46699263,47033974,47219793,48076926,49140800,49222294,49653219,49898875,50116414,50298066,50867380,50955441,51337014,51665793,52242813,52502130,53257534,53617281,53644372,54149001,54533860,54804855,55283400,55388841,55405524,55919841,56002272,56133209,56578054,56670001,57672760,57864993,57945913,58040884,58041681,58114505,58458512,58949662,58968960,59013245,59110975,59630793,59878650,60657272,60689121,60752710,61040856,61751254,62193825,62900224,63002556,63633049,63783622,63870560,64390870,64738041,64754521,64881855,65022520,65243875,65403364,65440632,65765826,65857935,66114646,66340080,66845481,68239431,68670963,69147709,69207312,69317953,69474921,69737406,69770045,69818422,70248464,70762752,70815894,70880134,70933170,71446942,71692369,71854380,72797793,72903252,73150335,73620711,73727507,73999366,74133255,74632590,74959924,75662048,75934249,76055926,76151009,76460361,76468534,76597261,76644672,76982721,77183332,77269044,77858226,77940262,78016323,78027024,78148433,78292650,78318328,78896193,79029522,79075472,79595956,79608096,80345113,80753857,82290982,82674814,83060961,83512160,83724054,84198982,84444250,85119804,85808045,86001094,86130209,86225256,86693793,86803297,87490804,87780402,88108119,88253875,88419993,88959906,89314729,89356205,89559108,89682004,89971521,90777661,91119460,91157497,92876575,92898605,92930177,93412401,93951180,94441726,94442793,94614441,94622641,95129241,95570836,95747476,95995192,96235095,96435245,96610174,96836929,97003413,97014993,97773382,97789055,98042361,98079113,99083945,99468166,99892695,...,12801315548648672689863329493453780011609148143459960484993031124471154619696139503831262157326304838531015651668030570656953130770390903747796310952799801891038911772019492397059658668341716447915652609729210911569746067569036869359742851905740661744495909318211044255064260181148900705483559585350548790008658423624588270776538456256921381093273238361178714682855465366275681206087661866217382760423872250465993351845782379172376851556824315960257325923861811881239204230010940522761805186356261030847031730196827846671195369314565827684798654727676802341193082993029363806554109014114059836993746415442322968559223359496718462962290072080838697913195207245623921653706183059860853339332994106396393035267124876508248712289610139723317045953138696500139078723947626032358090703473654204203158181277522717249826648528629516468876469720465588430653646292981908720601693917750877379900752866370157367131040436431070664044691547617329161302713591008574560984562460412758010893112794241451163305774937751756648320134088720896306016918778297525643102997345528094219553565065855391612801878648351998264959399905102551318962529092513049569332105029766960147770813828934895412792318725479447746763703989174416559292157166116546481987240909263375431237511497372697932612567355535132744418590464664030043682169084944638244612385881655755708829133023767782071616354296106959647684189158684185226762219402053454258217272444414107756813427812905789117549050163563128159526510831923729594950920581269108211062278633229810099658643359465878093112451798970511811042586516345692526969460067502472562495271191412006539174709325003200457911232231704354943666170495069794322561647808302098193243029019739332487009608385205106705714505529215215594172586804447216174113089835106012928469263526564213713732596818839239071059284708418676725036815088672233720090967249299733272476643993252591210654865068108231921962581140596426007625534692012634810731091528076297359612416302240066420615983735417501036954928108230574323736448406372057769122172095598709061910515718851732282661738184102722493036485926706204622005076934663439111112826391681341368050168901560430871693125405839515538868115908472400591228203611696086488434056156745554852522454640838018671668380382420020201210261194983305305014459524462055951204030067632872596454005088219645334195350090560639844067862536726121353094222075888988657797035808987147121273973781496803152973689830589586083055715493103487965951156019202054730806763376596377299897503165084649445978500729265903471266975540122008999201889269122674712528183020743715034666003160633169748191793160624128562615221019888934973322915965110256830260411242902795755162059087282248847294608201959401798047148928628873285631416871507863064634709688334282504143491959951712654986512450139548775275605865122380442420909756874688864634735935941708610809991818851701544121360144975306971438168793713702597330805507676670742641289245283487303213540343854485975617234975668221053552097168330985062689770077918422923894059751357937561084930262130046759901077437201177409057899473159353033551065468695807179351301043132077224794649875528716760924443663349211209460643105488830338906794462238372157655750859675074329195566646047490792763924893817829240654377046557859241396979067611845761769089706983629176254303450555635857744365214295585981436230230173606321226901174672719104096082672783471461103751756054552032056732262628520390375780765964913514939771880526976345837801582926941168945604439558742994233800888420160987902554337361846204052080582072761262753559181278896670166718187006805720048959465607377948454237664647919350527796662903269867291694029120789540638492739403027613566806314076268483983886222744062317762113037044255991815169066730384315290382678551662694207626948098517874804516396515692321253825433076077438008982832625764108447194792345598138849785464581078728122649200034553383993495650476075668139511892242216429378328148713235720667167130186631498023117518086633252134919812001643755679957386671524688040823989731997990950882131201525747020133207385217869091002908840646428230515478011827947377640469286391427888736773178446657828879056056139772078344321317419816384112239729383028799914730663050785486734080645207181384308406091186687525023503135574468444628880075122114256482847113025768997536230091643112657893430894230799309410419133840524101252039616509593176157430732975267155497020505266549143233554918019591645380854571740679322001762795863949747170952864268265779261501895159413199141706066346924853997431812455189739342950478866952453987376560919782718777372875528353161355212452635044470592721317809021575848243980062962306267659252282198632813046812117420707847817263494060448794798114141488161374291077762335122603834248778476174621487180120334503194146973043595542107432682662381145021509795232092536544482216419353433734043354728853706499827279927219988095590643}
30736 2674528385993791349321699658254955711895997279257648392529532284576086506706148880726561: {430178,614540,706399,737448,829629,890503,1442383,1809943,1903586,2271578,2334188,3561548,4176968,4476506,4699089,5278508,5469703,5650088,5943578,6016183,6309986,6356349,6925543,7288783,7483724,8195623,8384649,8707724,9601178,9981725,10065992,10175468,10544983,10908908,11060186,11324241,11804983,11824505,11978070,12252093,12374924,12776608,13007048,13419799,14135623,14189406,14274105,14373684,14476712,14585825,14632929,14697626,14829549,15225712,15568449,16286301,16892150,17009708,17128926,17502990,17654225,18052063,18270665,18583423,18669856,18682178,18694473,19250781,19467583,20126786,20270580,20349943,20356089,21003588,21069118,21146828,21185070,21621952,21875948,21924798,21955505,22255325,22289378,22597408,23576108,23845353,24210943,24324696,25422084,25523546,25606303,25780399,26008829,26100950,26346606,26706390,27214028,27365283,27535209,28030946,28210183,28387325,28486816,28584493,28707305,29074543,29151308,29247199,29393324,29745393,30098740,30109399,30281623,30814305,31321140,31600706,32047668,32053388,32685199,32868592,33024578,33409216,33529928,34064790,34393399,34448766,34468268,36118488,36219866,36319065,36321649,36335776,36977166,37103001,37155470,37585368,37721169,37788199,37989986,38463703,38697026,38740336,38831705,39120718,40315399,40633299,40834990,40865693,40877748,41321743,41991199,42158383,42283539,42290888,42998200,43582878,43659799,44357165,44568105,44586564,45034466,46149199,46598046,46663592,46810303,46975399,47136578,47539312,47577249,48372975,49001988,49607143,49608428,50463665,50804588,50976986,51151198,51445329,51597840,51731863,51888070,52324745,52496541,52716866,53075113,53194508,53228598,53410749,53481726,54168343,55037696,55819724,55886740,56058188,56846408,56894705,57260553,57586875,57848765,57964748,58047570,58298792,58335700,58513183,59393324,59790463,60556398,60904303,61426000,61467406,61534028,61720593,61917408,62265684,62393666,62789694,62959724,63080546,63143729,63584225,63752263,63909799,63952209,64102568,64696399,64697793,64795226,65324383,65586141,66204292,66264199,66506306,67055465,67064088,67441309,67940588,68167325,68213786,68273646,68447023,68449352,68528537,68887724,69104250,69191038,69223183,69256905,69418518,69533143,69657084,70002840,70550961,71489708,72090950,72115389,72198668,72551105,73073140,73711200,73833441,73851788,73874032,74559788,74669696,75174621,75447099,75821590,76021826,76301070,76359578,77005521,77037199,77153324,77388908,77944183,78625280,78698023,78753195,79299799,79507724,79838200,79886301,80466558,80918828,80948743,81278150,81387808,81396943,81754205,81800790,82142503,82291399,82440223,82925100,83108286,83183263,83419106,83995793,84003408,84756578,84867081,85254199,85401583,86137423,86317388,86509140,86758466,87061326,87254176,87687768,87810580,88334143,88424493,88453440,89127308,89499103,89817975,89819422,90083426,90514663,90985908,91129065,91237903,91409378,91561284,91645729,92276416,92626881,92633228,92983208,93063578,93109903,93233182,93699905,94350336,94421192,94503834,94577560,94976518,95675433,95805840,96250183,96361178,96479165,96586305,96675703,96847289,97063724,97204336,97524799,97533780,97897910,98105046,98160948,98648739,98844340,99074743,99171969,99494945,99495943,99510120,...,17068420731531563586484439324605040015478864191279947313324041499294872826261519338441682876435073118041354202224040760875937507693854538330395081270399735854718549029359323196079544891122288597220870146305614548759661423425382492479657135874320882325994545757614725673419013574865200940644746113800731720011544564832784361035384608342561841457697651148238286243807287155034241608116882488289843680565163000621324469127709838896502468742432421280343101231815749174985605640014587363682406915141681374462708973595770462228260492419421103579731539636902403121590777324039151742072145352152079782658328553923097291412297812662291283949720096107784930550926942994165228871608244079814471119110658808528524047022833168677664949719480186297756061270851595333518771631930168043144120937964872272270877575036696956333102198038172688625168626293954117907538195057309211627468925223667836506534337155160209822841387248574760885392922063489772215070284788011432747979416613883677347857483725655268217741033250335675531093512118294528408022558371063367524137329794037458959404753421140522150402504864469331019945866540136735091950038790017399425776140039689280197027751771913193883723091633972596995684938652232555412389542888155395309316321212351167241650015329830263910150089807380176992558120619552040058242892113259517659483181175541007611772177365023709428821805728142612863578918878245580302349625869404605677623029925885477009084570417207718823398733551417504212702014442564972793267894108358810948083038177639746799544857812621170790816602398627349081390115355127590035959280090003296749993694921882675385566279100004267277214976308939139924888227326759725763415530411069464257657372026319109982679477846940142274286007372286954125563449072596288232150786446808017237959018035418951618310129091785652094745712944558235633382420118229644960121289665732977696635525324336788280873153424144309229283441520795234676834046256016846414308122037435063146149888402986755227487978313890001382606570810974099098315264541829410358829562794131612082547354291802309710215650912136963324048647902274939496006769246217918814817101855575121824066891868747241162257500541119354051824154544629867454970938148928115317912074875660739803363272854450691562224507176560026934947014926644407073352612699282741268272040090177163461938673450959527112260466787414186458757150048968161804125629434518651543729381078649529495031965041995737537298253107452781444074287324137983954601541358936072974409017835461836399863337553446199261304667639021204628355967386829345332269185692163566283370910694324953379554670880844226330922390880832171416820294693185246631097221286813675773680548323870394340216078783042998463059477602612535730729531904838497714175222495343817419512946251112376672191322613268950206648683266852731700367474486829840589894546342499585152846314581255611481079989091802268725495146859967075961917558391618270129774407343568894323521718993711316404284720458472647967489646634224294738069462891107980083586360103891230565192079668477250081446573682840062346534769916268236545410532630879137378068087291594409572468401390842769633059533167371622347899258217798948279280857473985107118542392616317829543541001146233432438927422194729987723685233191757105654205836062077145655195972090149127682358786275978172235005737934074181143659153619060781308581640306898141761635868232896958805461443563711295281471669008072736042742309683504693853834374354619884686586362507369301794450402110569254891927472586078323992311734517893547983870072449815794938736107442763681683671412241705195560222290916009074293398612620809837264605650219530559134037062217204359823055592038827719387517990319204036818089075085435024645311848296992083090349484049392341322420225422307179087053843571402216925610169264131357166406021862020923095005100577434769917345310443501018811262926389794130851799713952774771637496865600046071178657994200634767557519349189656288572504437531617647627556222840248841997364156690782177669513226416002191674239943182228699584054431986309330654601176174935367662693510943180290492121337211787528570974020637349103929836853959048521903851649030904595543771838741408186362771125761756559755178816319639177371733219640884067713982312107526942908512411208121582250033364670847432624592838506766829485675310462817367691996714973455524150210524574525641065745880558845120698801669386155346124234876574310633689540662694007022065524311406557359455527174472762320905762669017061151932996227937152357687705682002526879217598855608088462566471996575749940252985790600638489269938649835414559710291703163834037804215140283270180059294123628423745362101130991973417283075023545669709598177084062416156560943797089684658747265059730818855317548499054770349780163471778998371301566161982906827112670925529297391460722809910243549841526695346393642790048725976288559137911645391139638471608666436373236293317460787524}
30737 2682736886380755329501771618067802876514593833805863813780195891871727695922586660624000: {645267,768175,921810,983264,1106172,2855379,2917735,3407367,3501282,3654847,4391959,4451935,4943827,5221210,5342322,6265452,6417763,6598135,6714759,6786247,7062610,7432546,7767859,7917762,8475132,8807743,8873167,8915367,9354655,9464979,9792343,10884655,11179532,11225586,11381167,11484418,12002527,12490423,12582490,12667123,12719335,13061586,13322498,13636135,14401767,15098988,15167282,15263202,15468655,15970760,16173103,16258810,16336124,16363362,16590279,16909639,17967105,18095890,18562386,18743647,18919208,19032140,19164912,19510572,19772732,20757932,21132319,21262135,21284109,21560526,21715068,22046439,22163234,22424887,22838568,23337320,23897383,24925964,25338225,25514562,25667708,25693389,26106127,26254485,26433535,27027440,27141452,27344935,27389203,27578623,27977059,28004784,28023267,28246760,28760018,29233064,29338687,29470135,29993623,30190179,30259354,30333619,30405870,30752983,31505382,31603677,31720018,31720242,31777605,31793804,32432928,32468962,32813922,32887197,32909983,33434067,33896112,33897794,34017535,35128808,35364162,35608520,35762386,36439135,36487044,36713612,36741655,36993343,37004527,37375759,37623425,38133126,38285319,39151425,39519909,39660524,40059585,40066735,40821042,40830643,41085740,41596898,41761520,41790943,41912410,42046419,42730224,42763738,43085335,43228807,43726962,44089986,45148110,45419720,45931688,46344703,46981710,47401059,48071502,48080082,48157984,48425420,48628346,49012258,49302888,49470668,49536867,49740607,50040019,50113824,50115703,50294892,51011443,51097185,51598714,51673149,51702402,52099879,52440439,52863610,53747750,54177732,54329799,54503664,55465749,55733205,56089747,56136883,56378052,56984979,57845506,58045539,58110504,58142359,58171802,58329490,58474579,58681077,59060623,59424140,59448752,59893183,61252485,61316622,62010535,62130728,62940722,63081583,63436332,63505735,64497300,64639778,65335984,65374317,66050287,66156343,66339247,66493135,66587239,66879846,67551699,67690387,68593772,68797120,69774655,69858425,69897069,69995388,70072735,70704867,70971464,71058010,71214332,71308968,72455935,72873490,72919625,73502982,74110903,74241655,74412642,76206882,76316767,76347404,76465479,76726797,76782500,76821943,76917535,77396760,77832105,78032354,78153559,78699655,79075299,79791762,79842897,80128210,80222589,80741864,81360307,81742226,82294124,82556544,82618543,82755365,83020912,83719592,83729586,83830110,83949818,84087282,84673447,84925735,84939763,85003682,85053794,85269612,85561690,86042479,86109655,86135863,86263724,86739967,86947122,87071355,87448188,87503550,88169026,89089986,89362135,89418784,89996647,90147218,90248335,90834597,91031528,91341425,91972274,92139000,92201109,92301042,92314735,92342540,92357239,92558024,92778103,92876112,93199735,93337120,93398526,93590499,93968503,94067948,94184541,94439586,94620819,96153852,96348127,96441655,96736135,97192839,97678063,98281600,98444588,99127663,99306438,99384655,99759459,99797750,...,25602631097297345379726658986907560023218296286919920969986062248942309239392279007662524314652609677062031303336061141313906261540781807495592621905599603782077823544038984794119317336683432895831305219458421823139492135138073738719485703811481323488991818636422088510128520362297801410967119170701097580017316847249176541553076912513842762186546476722357429365710930732551362412175323732434765520847744500931986703691564758344753703113648631920514651847723623762478408460021881045523610372712522061694063460393655693342390738629131655369597309455353604682386165986058727613108218028228119673987492830884645937118446718993436925924580144161677395826390414491247843307412366119721706678665988212792786070534249753016497424579220279446634091906277393000278157447895252064716181406947308408406316362555045434499653297057259032937752939440931176861307292585963817441203387835501754759801505732740314734262080872862141328089383095234658322605427182017149121969124920825516021786225588482902326611549875503513296640268177441792612033837556595051286205994691056188439107130131710783225603757296703996529918799810205102637925058185026099138664210059533920295541627657869790825584637450958895493527407978348833118584314332233092963974481818526750862475022994745395865225134711070265488837180929328060087364338169889276489224771763311511417658266047535564143232708592213919295368378317368370453524438804106908516434544888828215513626855625811578235098100327126256319053021663847459189901841162538216422124557266459620199317286718931756186224903597941023622085173032691385053938920135004945124990542382824013078349418650006400915822464463408709887332340990139588645123295616604196386486058039478664974019216770410213411429011058430431188345173608894432348226179670212025856938527053128427427465193637678478142118569416837353450073630177344467440181934498599466544953287986505182421309730136216463843925162281192852015251069384025269621462183056152594719224832604480132841231967470835002073909856216461148647472896812744115538244344191197418123821031437703464565323476368205444986072971853412409244010153869326878222225652783362682736100337803120861743386250811679031077736231816944801182456407223392172976868112313491109705044909281676037343336760764840040402420522389966610610028919048924111902408060135265745192908010176439290668390700181121279688135725073452242706188444151777977315594071617974294242547947562993606305947379661179172166111430986206975931902312038404109461613526753192754599795006330169298891957001458531806942533951080244017998403778538245349425056366041487430069332006321266339496383586321248257125230442039777869946645831930220513660520822485805591510324118174564497694589216403918803596094297857257746571262833743015726129269419376668565008286983919903425309973024900279097550551211730244760884841819513749377729269471871883417221619983637703403088242720289950613942876337587427405194661611015353341485282578490566974606427080687708971951234469951336442107104194336661970125379540155836845847788119502715875122169860524260093519802154874402354818115798946318706067102130937391614358702602086264154449589299751057433521848887326698422418921286210977660677813588924476744315311501719350148658391133292094981585527849787635658481308754093115718482793958135223691523538179413967258352508606901111271715488730428591171962872460460347212642453802349345438208192165345566942922207503512109104064113464525257040780751561531929827029879543761053952691675603165853882337891208879117485988467601776840321975805108674723692408104161164145522525507118362557793340333436374013611440097918931214755896908475329295838701055593325806539734583388058241579081276985478806055227133612628152536967967772445488124635524226074088511983630338133460768630580765357103325388415253896197035749609032793031384642507650866152154876017965665251528216894389584691196277699570929162157456245298400069106767986991300952151336279023784484432858756656297426471441334334260373262996046235036173266504269839624003287511359914773343049376081647979463995981901764262403051494040266414770435738182005817681292856461030956023655894755280938572782855777473546356893315657758112112279544156688642634839632768224479458766057599829461326101570973468161290414362768616812182373375050047006271148936889257760150244228512965694226051537995072460183286225315786861788461598618820838267681048202504079233019186352314861465950534310994041010533098286467109836039183290761709143481358644003525591727899494341905728536531558523003790318826398283412132693849707994863624910379478685900957733904907974753121839565437554745751056706322710424905270088941185442635618043151696487960125924612535318504564397265626093624234841415695634526988120897589596228282976322748582155524670245207668497556952349242974360240669006388293946087191084214865365324762290043019590464185073088964432838706867468086709457707412999654559854439976191181286}
30738 2690970434614427944492179287043994617689577522087623703823637038404199660347241613937565: {337997,860356,951917,1229080,1258577,1382715,1412798,1474896,1659258,1781006,1871297,2054957,2727761,2884766,3094337,3277517,3619886,3807172,4543156,4668376,5251923,5470061,5530817,6077261,6986561,7123096,7349777,7831815,8013483,8196161,8256557,8353936,8953012,9342317,9398178,9462797,10545677,10557016,10593915,10605761,10939406,11148819,11300176,11876643,11887156,12032366,12045377,12619972,12703661,12712698,13062317,13851086,13974415,14136557,14494061,14577566,14967448,16336577,16391246,16554307,16769298,16810817,16838379,17166161,17226627,17402897,17415448,18053261,18112337,18643661,18873735,19202356,19292177,19468877,19592379,19963450,19983747,20131984,20350936,20420155,20762477,21089966,21290561,21817816,21817997,22120372,22648482,22750923,22894803,23609966,23649010,23790175,23956140,24270797,24388215,24504186,24545043,24561857,24715915,24749848,25553216,25578931,25608017,25666061,25947415,26014096,26477837,26839598,27143835,27403661,27843579,28271246,28378812,28548210,28747368,28953424,29076497,29171650,29265858,29395252,29651777,29659098,30341057,30451424,30737707,31136898,31157455,31716161,32084635,32340789,32516177,32572602,32858561,33244851,33784300,33926815,34019416,34054637,34257852,34622957,35005980,35308450,35473937,36104126,36492737,36541330,37166846,37339712,37364356,37388946,38271843,38297537,38501562,38935166,39028397,39742255,40190227,40253572,40541160,40699886,40712178,41045261,41826797,42007176,42138236,42293656,42370140,42495437,43140027,43243904,43496237,43751896,43849596,43911010,44510650,44578756,44715917,45194816,45389031,45490061,45608805,45821357,45892015,46648337,46813517,46868561,47152216,47258073,47580027,47580363,47638337,47690706,48295819,48421886,48649392,48703443,49220883,49575655,49938257,50844168,50846691,50974061,51047092,51212606,51357175,51463697,51560798,51789761,52017658,52201900,52386797,52693212,53046243,53412780,53643579,53902157,54010157,54226061,54364387,54428056,54730566,54819137,55070418,55626317,56061892,56109761,56420366,56774650,56914061,56973632,57128237,57168986,57199689,57414610,58149086,58197197,58302616,58494398,58786648,59316161,59490786,59635217,59847761,60197480,60218798,60431597,60531775,60563246,60961517,61226177,61231563,61628610,61838335,62100031,62230061,62395347,62642280,62868615,63201412,63336257,63809261,64095336,64106776,64145607,65370398,65590443,65642561,65737184,66049156,66134979,66737837,66818432,67059856,67722165,67725761,68129580,68786798,68897532,68936536,69072977,69538061,70472565,70572403,70649131,72058817,72107253,72120123,72236976,72439732,72638130,72643298,72671552,72942519,73254643,73518387,73954332,74206002,74280175,74310940,74611217,74624407,75170736,75373037,75442338,75576398,75879917,75979972,75981197,76183661,76739777,76927406,77394052,77398071,77480672,77553603,77647697,77663410,78000077,78150977,78241436,78703661,79155137,79295415,79652587,80405837,80621625,80630798,80988271,81266598,81669980,81701261,81731386,81755496,82495757,82643486,83189261,83238737,83982398,84127937,84226577,84316766,84423761,84567078,84581776,85742215,85996400,86192657,86768259,87165756,87257703,87319598,87494235,87805037,88340561,88714330,88826561,89017915,89136210,89173128,89360237,89505617,89554061,90068932,90569537,90714317,91244561,91292717,91974933,92254157,92298398,93196092,93327184,93620606,93877651,93950798,94273156,94310417,94405697,94411083,94548557,95078624,95154498,95309261,95434255,95973197,95978125,96304577,96446477,96730061,96745950,96959667,98003976,98425517,99214286,99216856,99362957,99503297,...,38403946645946018069589988480361340034827444430379881454979093373413463859088418511493786471978914515593046955004091711970859392311172711243388932858399405673116735316058477191178976005025149343746957829187632734709238202707110608079228555717221985233487727954633132765192780543446702116450678756051646370025975270873764812329615368770764143279819715083536144048566396098827043618262985598652148281271616751397980055537347137517130554670472947880771977771585435643717612690032821568285415559068783092541095190590483540013586107943697483054395964183030407023579248979088091419662327042342179510981239246326968905677670078490155388886870216242516093739585621736871764961118549179582560017998982319189179105801374629524746136868830419169951137859416089500417236171842878097074272110420962612609474543832568151749479945585888549406629409161396765291960938878945726161805081753252632139702258599110472101393121309293211992134074642851987483908140773025723682953687381238274032679338382724353489917324813255269944960402266162688918050756334892576929308992036584282658660695197566174838405635945055994794878199715307653956887587277539148707996315089300880443312441486804686238376956176438343240291111967523249677876471498349639445961722727790126293712534492118093797837702066605398233255771393992090131046507254833914733837157644967267126487399071303346214849062888320878943052567476052555680286658206160362774651817333242323270440283438717367352647150490689384478579532495771188784852761743807324633186835899689430298975930078397634279337355396911535433127759549037077580908380202507417687485813574236019617524127975009601373733696695113064830998511485209382967684943424906294579729087059217997461028825155615320117143516587645646782517760413341648522339269505318038785407790579692641141197790456517717213177854125256030175110445266016701160272901747899199817429931979757773631964595204324695765887743421789278022876604076037904432193274584228892078837248906720199261847951206252503110864784324691722971209345219116173307366516286796127185731547156555196847985214552308167479109457780118613866015230803990317333338479175044024104150506704681292615079376217518546616604347725417201773684610835088259465302168470236664557567363922514056015005141147260060603630783584949915915043378573386167853612090202898617789362015264658936002586050271681919532203587610178364059282666227666965973391107426961441363821921344490409458921069491768758249167146479310463897853468057606164192420290129789131899692509495253948337935502187797710413800926620366026997605667807368024137584549062231145103998009481899509244575379481872385687845663059666804919968747895330770490781233728708387265486177261846746541883824605878205394141446785886619856894250614523589193904129065002847512430475879855137964959537350418646325826817595367141327262729270624066593904207807825125832429975456555104632364080434925920914314506381141107791992416523030012227923867735850461909640621031563457926851704927004663160656291504992955188069310233755268771682179254073812683254790786390140279703232311603532227173698419478059100653196406087421538053903129396231674383949626586150282773330990047633628381929316466491016720383386715116472967252579025222987586699938142472378291774681453487721963131139673577724190937202835537285307269120950887528762910351666907573233095642886757944308690690520818963680703524018157312288248018350414383311255268163656096170196787885561171127342297894740544819315641580929037513404748780823506836813318676228982701402665260482963707663012085538612156241746218283788260677543836690010500154561020417160146878396822133845362712993943758051583389988709809601875082087362368621915478218209082840700418942228805451951658668232186953286339111132767975445507200191152945871148035654988082622880844295553624413549189547076963761476299228232314026948497877292325341584377036794416549356393743236184367947600103660151980486951428227004418535676726649288134984446139707162001501390559894494069352554259899756404759436004931267039872160014574064122471969195993972852646393604577241060399622155653607273008726521939284691546434035483842132921407859174283666210319535339973486637168168419316235032963952259449152336719188149086399744191989152356460202241935621544152925218273560062575070509406723405333886640225366342769448541339077306992608690274929337973680292682692397928231257401521572303756118849528779528472292198925801466491061515799647429700664754058774936142563715222037966005288387591849241512858592804797337784505685478239597425118199040774561992295437365569218028851436600857361962129682759348156332118626585059484065637357905133411778163953427064727544731940188886918802977756846595898439140436352262123543451790482181346384394342424464484122873233287005367811502746335428523864461540361003509582440919130786626322298047987143435064529385696277609633446649258060301202130064186561119499481839781659964286771929}
30739 2699229106686293828696790316896565241197159664697880707496387807203145509233265822059588: {1075445,1290534,1536350,1843620,1966528,2119197,2212344,2488887,2671509,4084829,4327149,4758965,5190497,5429829,5678945,5710758,5835470,6232709,6814734,7002564,7309694,7584629,8783918,8903870,9180197,9237389,9887654,9917069,10442420,10467677,10684644,11191265,11572769,12530904,12835526,13096517,13196270,13414589,13429518,13572494,14097267,14125220,14761409,14858945,14865092,15238517,15535718,15774965,15835524,16409109,16950264,17615486,17746334,17807069,17830734,18048549,18075821,18709310,18929958,19069047,19090589,19584686,20776629,21656117,21769310,21866349,22359064,22451172,22597157,22762334,22968836,24002945,24005054,24586869,24980846,25063109,25153947,25164980,25334246,25438670,26123172,26633981,26644996,27272270,27650465,28803534,29480597,29766989,29945175,30197976,30334564,30526404,30937310,31634949,31795457,31941520,32346206,32517620,32672248,32683277,32726724,33063797,33180558,33819278,33972723,34370981,35179637,35414949,35447009,35473515,35934210,36191780,36744065,36756279,37006949,37124772,37487294,37838416,38035409,38064280,38282909,38329824,39021144,39545464,40259397,41153549,41258189,41345501,41515864,42230375,42264638,42406869,42524270,42568218,42822315,43121052,43430136,43757475,43898787,44092878,44326468,44488647,44673077,44849774,45677136,46512737,46674640,46705347,46705445,47230109,47624549,47794766,48314549,48858903,49851928,50316965,50676450,50788397,51014789,51029124,51335416,51386778,51438317,51449597,51797021,52212254,52508970,52672795,52867070,52962675,54054880,54156189,54218081,54282904,54689870,54778406,54811995,55157246,55667429,55723445,55750269,55954118,56009568,56046534,56057021,56083419,56093429,56493520,57520036,57752343,58402749,58466128,58677374,58940270,59227649,59539349,59987246,60102689,60319469,60380358,60518708,60667238,60811740,61049829,61068267,61505966,61941629,63010764,63207354,63440036,63440484,63555210,63587608,63808865,64858529,64865856,64937924,65252375,65627844,65774394,65819966,65866515,66343589,66765975,66827981,66868134,66893669,67432037,67792224,67795588,68035070,68713697,69835397,70077365,70175621,70257616,70728324,70829957,71217040,71524772,71536059,72632829,72878270,72974088,73427224,73483310,73820909,73986686,74009054,74751518,75246850,76266252,76570638,76623137,76818909,77341197,77726069,78026487,78184769,78302850,79001765,79039818,79321048,80119170,80133470,80467637,81642084,81661286,82095849,82171480,82561445,82605627,83193796,83523040,83581886,83824820,84092838,84143357,84630549,84678989,85161975,85460448,85527476,85753479,86121915,86170670,86457614,86814749,87223629,87453924,87741597,87819077,88179972,88908029,89236179,90296220,90328197,90549665,90789569,90839440,90844869,91863376,92363297,92442915,92689406,92888675,93090389,93963420,94635029,94802118,94974965,96143004,96160164,96315968,96742565,96850840,96944669,97256692,97684517,97754669,97801795,98024516,98055597,98101829,98605776,98941336,99073734,99481214,...,51205262194594690759453317973815120046436592573839841939972124497884618478784558015325048629305219354124062606672122282627812523081563614991185243811199207564155647088077969588238634673366865791662610438916843646278984270276147477438971407622962646977983637272844177020257040724595602821934238341402195160034633694498353083106153825027685524373092953444714858731421861465102724824350647464869531041695489001863973407383129516689507406227297263841029303695447247524956816920043762091047220745425044123388126920787311386684781477258263310739194618910707209364772331972117455226216436056456239347974985661769291874236893437986873851849160288323354791652780828982495686614824732239443413357331976425585572141068499506032994849158440558893268183812554786000556314895790504129432362813894616816812632725110090868999306594114518065875505878881862353722614585171927634882406775671003509519603011465480629468524161745724282656178766190469316645210854364034298243938249841651032043572451176965804653223099751007026593280536354883585224067675113190102572411989382112376878214260263421566451207514593407993059837599620410205275850116370052198277328420119067840591083255315739581651169274901917790987054815956697666237168628664466185927948963637053501724950045989490791730450269422140530977674361858656120174728676339778552978449543526623022835316532095071128286465417184427838590736756634736740907048877608213817032869089777656431027253711251623156470196200654252512638106043327694918379803682325076432844249114532919240398634573437863512372449807195882047244170346065382770107877840270009890249981084765648026156698837300012801831644928926817419774664681980279177290246591233208392772972116078957329948038433540820426822858022116860862376690347217788864696452359340424051713877054106256854854930387275356956284237138833674706900147260354688934880363868997198933089906575973010364842619460272432927687850324562385704030502138768050539242924366112305189438449665208960265682463934941670004147819712432922297294945793625488231076488688382394836247642062875406929130646952736410889972145943706824818488020307738653756444451305566725365472200675606241723486772501623358062155472463633889602364912814446784345953736224626982219410089818563352074686673521529680080804841044779933221220057838097848223804816120270531490385816020352878581336781400362242559376271450146904485412376888303555954631188143235948588485095895125987212611894759322358344332222861972413951863804624076808218923227053506385509199590012660338597783914002917063613885067902160488035996807557076490698850112732082974860138664012642532678992767172642496514250460884079555739893291663860441027321041644971611183020648236349128995389178432807837607192188595714515493142525667486031452258538838753337130016573967839806850619946049800558195101102423460489521769683639027498755458538943743766834443239967275406806176485440579901227885752675174854810389323222030706682970565156981133949212854161375417943902468939902672884214208388673323940250759080311673691695576239005431750244339721048520187039604309748804709636231597892637412134204261874783228717405204172528308899178599502114867043697774653396844837842572421955321355627177848953488630623003438700297316782266584189963171055699575271316962617508186231436965587916270447383047076358827934516705017213802222543430977460857182343925744920920694425284907604698690876416384330691133885844415007024218208128226929050514081561503123063859654059759087522107905383351206331707764675782417758234971976935203553680643951610217349447384816208322328291045051014236725115586680666872748027222880195837862429511793816950658591677402111186651613079469166776116483158162553970957612110454267225256305073935935544890976249271048452148177023967260676266921537261161530714206650776830507792394071499218065586062769285015301732304309752035931330503056433788779169382392555399141858324314912490596800138213535973982601904302672558047568968865717513312594852942882668668520746525992092470072346533008539679248006575022719829546686098752163295958927991963803528524806102988080532829540871476364011635362585712922061912047311789510561877145565711554947092713786631315516224224559088313377285269679265536448958917532115199658922652203141946936322580828725537233624364746750100094012542297873778515520300488457025931388452103075990144920366572450631573723576923197237641676535362096405008158466038372704629722931901068621988082021066196572934219672078366581523418286962717288007051183455798988683811457073063117046007580637652796566824265387699415989727249820758957371801915467809815949506243679130875109491502113412645420849810540177882370885271236086303392975920251849225070637009128794531252187248469682831391269053976241795179192456565952645497164311049340490415336995113904698485948720481338012776587892174382168429730730649524580086039180928370146177928865677413734936173418915414825999309119708879952382362572}
30740 2707512978817053910531292864791934537251083413242135463701056121667374911560660794193738: {399451,675994,1136011,1319971,1720712,1903834,1935801,2304525,2422219,2458160,2517154,2765430,2825596,2949792,2972371,3155611,3318516,3338779,3562012,3742594,4109914,4984051,5455522,5531179,5769532,6188674,6441619,6555034,6805291,7239772,7614344,8257099,8566137,8753205,9086312,9336752,9523651,10222101,10245811,10503846,10606459,10940122,10964541,11061634,11326891,12154522,12764299,13053025,13122931,13175877,13355805,13973122,14246192,14699554,14733211,14831481,15090259,15663630,16026966,16392322,16513114,16707872,17226499,17656525,17906024,18113539,18290731,18581365,18684634,18796356,18925594,18998779,19253289,19352371,19564181,19794405,20144277,20358741,21091354,21114032,21187830,21211522,21819451,21878812,22297638,22521739,22600352,22697131,23303577,23753286,23774312,24064732,24090754,24621691,25239944,25407322,25425396,25667779,26124634,26189851,26423229,26619501,26746101,27058531,27702172,27925411,27948830,28063965,28273114,28394937,28588217,28711045,28988122,29155132,29377029,29934896,31456225,31718299,32653965,32673154,32782492,33108614,33306245,33430819,33538596,33621634,33676758,34113811,34143501,34332322,34453254,34602281,34625299,34805794,34830896,35816251,36007581,36106522,36224674,36326381,37287322,37471269,37747470,37918205,38001369,38158005,38187571,38356411,38404712,38584354,38937754,39184758,39926900,39967494,40263968,40647025,40701872,40840310,40871017,40908405,41524954,41885419,42179932,42554011,42581122,43054699,43205301,43554739,43620437,43635632,43635994,44240744,44718979,44918489,45216859,45239725,45296964,45501846,45714091,45789606,46405965,46871779,47219932,47298020,47497541,47580350,47912280,48355051,48519309,48541594,48776430,49008372,49090086,49123714,49431830,49499696,49770837,49996291,50728917,51106432,51157862,51216034,51332122,51894830,52028192,52932379,52955674,53679196,53743819,53901315,54067891,54287670,54807322,55408085,55639157,55683931,55687158,56167339,56230941,56542492,56757624,57076877,57096420,57132211,57494736,57774019,57906848,57934291,58152994,58254619,58343300,58531716,58790504,58894411,59303554,59318196,59692531,60488851,60682114,60902848,61124611,61283371,61475414,61759219,62273796,62314910,62867011,63396957,63432322,63786405,63852327,64169270,64248821,64681578,65032354,65145204,65228971,65699419,65717122,66139317,66489702,66638371,67274661,67568600,67730539,67853630,68038832,68109274,68515704,69245914,69405917,70011960,70616900,70947874,71140099,71602339,71692149,71900045,72063931,72208252,72985474,73082660,73597891,74333692,74667379,74679424,74728712,74777892,74972299,75276931,75429139,75648385,76014675,76037251,76543686,76595074,77003124,77080167,77870332,78056794,78156571,78318381,78763455,79300045,79300605,79484510,79661731,80380454,80507144,81082320,81159691,81172405,81399772,81424356,82034805,82090522,82167609,82735869,83244739,83403749,83653594,83931177,84014352,84069801,84276472,84429859,84587312,84740280,84744485,84873091,84990874,85904779,86280054,86487808,86573669,86992474,87503792,87699192,87822020,88016061,88192481,88410405,89021300,89157512,89405965,89415211,89431834,89560579,89980869,90389632,90570537,90778062,90865651,90980122,91000857,91217610,91299379,91588171,91642714,91784030,92258949,92308891,93296674,93627034,93737122,94304432,94317331,94460251,94516146,94603099,94811031,95160054,95160726,95276674,95316259,95332815,95381412,96027619,96591638,96843772,97298784,97406886,98009851,98432779,98441766,98573611,98661591,98729949,99151310,99417091,99876514,99977971,...,76807893291892036139179976960722680069654888860759762909958186746826927718176837022987572943957829031186093910008183423941718784622345422486777865716798811346233470632116954382357952010050298687493915658375265469418476405414221216158457111434443970466975455909266265530385561086893404232901357512103292740051950541747529624659230737541528286559639430167072288097132792197654087236525971197304296562543233502795960111074694275034261109340945895761543955543170871287435225380065643136570831118137566185082190381180967080027172215887394966108791928366060814047158497958176182839324654084684359021962478492653937811355340156980310777773740432485032187479171243473743529922237098359165120035997964638378358211602749259049492273737660838339902275718832179000834472343685756194148544220841925225218949087665136303498959891171777098813258818322793530583921877757891452323610163506505264279404517198220944202786242618586423984268149285703974967816281546051447365907374762476548065358676765448706979834649626510539889920804532325377836101512669785153858617984073168565317321390395132349676811271890111989589756399430615307913775174555078297415992630178601760886624882973609372476753912352876686480582223935046499355752942996699278891923445455580252587425068984236187595675404133210796466511542787984180262093014509667829467674315289934534252974798142606692429698125776641757886105134952105111360573316412320725549303634666484646540880566877434734705294300981378768957159064991542377569705523487614649266373671799378860597951860156795268558674710793823070866255519098074155161816760405014835374971627148472039235048255950019202747467393390226129661997022970418765935369886849812589159458174118435994922057650311230640234287033175291293565035520826683297044678539010636077570815581159385282282395580913035434426355708250512060350220890532033402320545803495798399634859863959515547263929190408649391531775486843578556045753208152075808864386549168457784157674497813440398523695902412505006221729568649383445942418690438232346614733032573592254371463094313110393695970429104616334958218915560237227732030461607980634666676958350088048208301013409362585230158752435037093233208695450834403547369221670176518930604336940473329115134727845028112030010282294520121207261567169899831830086757146772335707224180405797235578724030529317872005172100543363839064407175220356728118565332455333931946782214853922882727643842688980818917842138983537516498334292958620927795706936115212328384840580259578263799385018990507896675871004375595420827601853240732053995211335614736048275169098124462290207996018963799018489150758963744771375691326119333609839937495790661540981562467457416774530972354523693493083767649211756410788282893571773239713788501229047178387808258130005695024860951759710275929919074700837292651653635190734282654525458541248133187808415615650251664859950913110209264728160869851841828629012762282215583984833046060024455847735471700923819281242063126915853703409854009326321312583009985910376138620467510537543364358508147625366509581572780280559406464623207064454347396838956118201306392812174843076107806258792463348767899253172300565546661980095267256763858632932982033440766773430232945934505158050445975173399876284944756583549362906975443926262279347155448381874405671074570614538241901775057525820703333815146466191285773515888617381381041637927361407048036314624576496036700828766622510536327312192340393575771122342254684595789481089638631283161858075026809497561647013673626637352457965402805330520965927415326024171077224312483492436567576521355087673380021000309122040834320293756793644267690725425987887516103166779977419619203750164174724737243830956436418165681400837884457610903903317336464373906572678222265535950891014400382305891742296071309976165245761688591107248827098379094153927522952598456464628053896995754584650683168754073588833098712787486472368735895200207320303960973902856454008837071353453298576269968892279414324003002781119788988138705108519799512809518872009862534079744320029148128244943938391987945705292787209154482120799244311307214546017453043878569383092868070967684265842815718348567332420639070679946973274336336838632470065927904518898304673438376298172799488383978304712920404483871243088305850436547120125150141018813446810667773280450732685538897082678154613985217380549858675947360585365384795856462514803043144607512237699057559056944584397851602932982123031599294859401329508117549872285127430444075932010576775183698483025717185609594675569011370956479194850236398081549123984590874731138436057702873201714723924259365518696312664237253170118968131274715810266823556327906854129455089463880377773837605955513693191796878280872704524247086903580964362692768788684848928968245746466574010735623005492670857047728923080722007019164881838261573252644596095974286870129058771392555219266893298516120602404260128373122238998963679563319928573543858}
30741 2715822127457312813493485477049327301103928872016098852271103070061429492739063777098163: {1013991,1505623,2150890,2581068,2855751,3072700,3531995,3687240,3775731,3933056,4148145,4238394,4424688,4452515,4977774,5343018,5613891,5743331,6164871,6662551,7211915,7768871,7950523,8169658,8183283,8654298,8874323,9049715,9283011,9517930,9832551,10380994,10859658,11083783,11357890,11421516,11670940,12370891,12465418,13629468,13840739,14005128,14619388,15169258,15667771,15755769,16410183,16592451,17567836,17807740,17884691,18231783,18360394,18474778,19775308,19834138,19905479,20469563,20802523,20884840,20935354,20959683,21369288,22049331,22084951,22382530,23145538,23495445,24040449,24510923,24588483,24769671,25061808,25671052,26193034,26392540,26705731,26829178,26859036,27144988,27348515,27634571,28026951,28194534,28250440,28388391,28928411,29522818,29717890,29730184,30080915,30477034,31071436,31476523,31549930,31637031,31671048,31781745,31817283,32818218,33155351,33446457,33604123,33900528,34627715,35230972,35492668,35536099,35614138,35629929,35661468,36097098,36136131,36151642,36443915,36467819,37418620,37859916,38110983,38138094,38181178,38625691,38710651,39169372,39186951,40978115,41553258,41923245,42409671,42510163,43312234,43482183,43538620,43732698,44718128,44902344,45194314,45524668,45937672,45995143,46103651,48005890,48010108,48781651,49009731,49173738,49662921,49908625,49961692,50126218,50307894,50329960,50432451,50515137,50668492,50877340,51441691,51498483,51679881,52208691,52246344,52724915,53267962,53289992,54159783,54337011,54544540,55300930,55930983,56621205,57607068,57876531,57957259,58149971,58406631,58777137,58961194,59024915,59122525,59533978,59890350,59951241,60022651,60395952,60669128,61052808,61260465,61874620,62287431,63269898,63590914,63645511,63871683,63883040,64162439,64692412,65035240,65344496,65366554,65387623,65453448,65453991,66127594,66361116,67098995,67638556,67945446,68130611,68252769,68684409,68741962,69161251,69331531,70359274,70443751,70678115,70829898,70894018,70947030,71370525,71868420,72383560,72812391,72929125,73164645,73488130,73512558,73635129,73685571,73741913,74013898,74147745,74249544,74974588,75015319,75676832,75949123,76070818,76128560,76565818,76659648,76736793,76824051,76998183,77842245,78012823,78042288,78163811,78978523,79090928,79433511,80160839,80360851,80518794,81431505,82210983,82307098,82516378,82691002,82734331,83031728,83530737,83708131,84460750,84529276,84813738,85048540,85136436,85644630,86242104,86751323,86860272,87229491,87514950,87797574,88141031,88185756,88247911,88271125,88652936,88955331,88977294,89332411,89346154,89699548,90260315,91023171,91353325,91354272,92213121,92917115,93025474,93349280,93410694,93410890,93472365,94117859,94460218,94641223,95148483,95249098,95589532,96253905,96629098,97022367,97337915,97548531,97717806,98108311,98575683,99703856,99734553,...,115211839937838054208769965441084020104482333291139644364937280120240391577265255534481359415936743546779140865012275135912578176933518133730166798575198217019350205948175431573536928015075448031240873487562898204127714608121331824237685667151665955700463183863899398295578341630340106349352036268154939110077925812621294436988846106312292429839459145250608432145699188296481130854788956795956444843814850254193940166612041412551391664011418843642315933314756306931152838070098464704856246677206349277623285571771450620040758323831092449163187892549091221070737746937264274258986981127026538532943717738980906717033010235470466166660610648727548281218756865210615294883355647538747680053996946957567537317404123888574238410606491257509853413578248268501251708515528634291222816331262887837828423631497704455248439836757665648219888227484190295875882816636837178485415245259757896419106775797331416304179363927879635976402223928555962451724422319077171048861062143714822098038015148173060469751974439765809834881206798488066754152269004677730787926976109752847975982085592698524515216907835167984384634599145922961870662761832617446123988945267902641329937324460414058715130868529315029720873335902569749033629414495048918337885168183370378881137603476354281393513106199816194699767314181976270393139521764501744201511472934901801379462197213910038644547188664962636829157702428157667040859974618481088323955451999726969811320850316152102057941451472068153435738597487313566354558285231421973899560507699068290896927790235192902838012066190734606299383278647111232742725140607522253062457440722708058852572383925028804121201090085339194492995534455628148903054830274718883739187261177653992383086475466845960351430549762936940347553281240024945567017808515954116356223371739077923423593371369553151639533562375768090525331335798050103480818705243697599452289795939273320895893785612974087297663230265367834068629812228113713296579823752686676236511746720160597785543853618757509332594352974075168913628035657348519922099548860388381557194641469665590543955643656924502437328373340355841598045692411970952000015437525132072312451520114043877845238128652555639849813043176251605321053832505264778395906505410709993672702091767542168045015423441780181810892350754849747745130135720158503560836270608695853368086045793976808007758150815045758596610762830535092177847998683000897920173322280884324091465764033471228376763208475306274747501439437931391693560404172818492577260870389367395699077528485761845013806506563393131241402779861098080992817003422104072412753647186693435311994028445698527733726138445617157063536989179000414759906243685992311472343701186125161796458531785540239625651473817634616182424340357659859570682751843570767581712387195008542537291427639565413894878612051255938977480452786101423981788187811872199781712623423475377497289926369665313897092241304777762742943519143423323375977249569090036683771603207551385728921863094690373780555114781013989481968874514978865564207930701265806315046537762221438049764372359170420839109696934810596681521095258434177301959589218262264614161709388188695023151848879758450848319992970142900885145787949399473050161150160145349418901757737075668962760099814427417134875324044360463165889393419020733172572811608506611855921807362852662586288731055000722719699286928660273832926072071562456891042110572054471936864744055051243149933765804490968288510590363656683513382026893684221634457946924742787112540214246342470520510439956028686948104207995781448891122989036256615836468725238654851364782032631510070031500463683061251480440635190466401536088138981831274154750169966129428805625246262087105865746434654627248522101256826686416355854976004696560859859017333398303926336521600573458837613444106964964247868642532886660873240647568641230891284428897684696942080845493631876976024753131110383249648069181229708553103842800310980455941460854284681013255607030179947864404953338419121486004504171679683482208057662779699269214278308014793801119616480043722192367415907587981918557939180813731723181198866466960821819026179565817854074639302106451526398764223577522850998630958606019920459911504505257948705098891856778347457010157564447259199232575967457069380606725806864632458775654820680187725211528220170216001659920676099028308345624017231920977826070824788013921040878048077193784693772204564716911268356548586338585416876596777404399473184547398942289101994262176324808427691145666113898015865162775547724538575778414392013353517056434718792275354597122323685976886312096707654086554309802572085886389048278044468996355879755178452196912073715400235334491860281194182634195820566660756408933270539787695317421309056786370630355371446544039153183027273393452368619699861016103434508239006285571593384621083010528747322757392359878966894143961430305193588157088832828900339947774180903606390192559683358498445519344979892860315787}
30742 2724156629288268306777762215196583317094278434100010554747760925654138268148955201588025: {798902,890677,1351988,1626517,2177641,2272022,2639942,3226335,3441424,3807668,3840875,3871602,4558357,4609050,4844438,4916320,5034308,5530860,5651192,5899584,5944742,6311222,6357591,6637032,6677558,7108597,7124024,7466661,7485188,7653241,8014527,8219828,8921557,9464041,9968102,10727317,10911044,11062358,11539064,12166741,12254487,12377348,12705337,12883238,12981447,13110068,13601557,13610582,14276895,14479544,14588675,15228688,15571491,16289487,16514198,17036835,17132274,17506410,18172624,18274235,18673504,18698127,19047302,19648117,20444202,20491622,20530297,21007692,21212918,21880244,21929082,21959795,22123268,22259675,22653782,22753887,24309044,24565141,24719135,25528598,25785577,26013911,26106050,26245862,26351754,26711610,27540591,27712167,27946244,28388917,28492384,29253097,29399108,29466422,29662962,29751207,30180518,30287737,31327260,31403031,32053932,32088815,32784644,32862997,32990675,33026228,33415744,33573795,33931235,34452998,34718307,35313050,35812048,36227078,36581462,37119097,37162730,37369268,37592712,37851188,37964917,37997558,38506578,38704742,38808937,38839295,39128362,39289551,39588810,40195463,40243767,40288554,40717482,41330197,42167017,42182708,42228064,42291801,42375660,42423044,43638902,43757624,43835257,44038715,44168041,44284227,44365835,44576835,44595276,45043478,45200704,45394262,45715551,46607154,46628743,46773275,46985077,47150137,47324895,47506572,47548624,48129464,48181508,48302111,48961715,49227327,49243382,49617397,49945141,50272597,50479888,50814644,50850792,51335558,52249268,52379702,52846458,53085487,53239002,53421207,53492202,54017641,54117062,54145647,54227463,54423275,55404344,55850822,55897660,56117557,56127930,56546228,56789874,56905835,57176434,57207141,57271767,57422090,57976244,58310264,58525417,58754058,59643541,59869792,60012635,60121657,60440041,62329887,62452115,62912450,63156071,63335615,63436598,63596675,63923257,64968351,65307930,65346308,65564984,65599047,65651797,66217228,66278197,66434617,66612490,66861638,67077192,67243268,67353516,67454491,67791471,67839157,68180675,68227622,68287002,68616937,68664644,68906508,69204562,69250598,69547897,69611588,69661792,71402041,71632502,72008835,72015162,72213044,72449348,72632377,72652762,72939241,73760607,74010997,74574644,74942538,75189327,75461841,75494940,75836410,75992041,76002738,76316010,76375142,76712822,76750741,76809424,77168708,77343275,77571319,77875508,77960917,78262741,78369516,79853800,79901943,79934988,80527936,80865515,81294050,81403744,81680620,81713017,81742034,81816810,82309177,82458037,82951395,83049908,83201257,83770838,84238741,84359864,84548195,85108022,85162244,85420117,85429751,86109398,86410602,87109478,87240874,87271264,87271988,87915241,88207417,88441791,88481488,89300967,89437958,89835525,89836978,90433718,90479450,90593928,91003692,91428182,91579212,92811930,93273877,93718235,93743558,94419541,94439864,94596040,94904847,94995082,95160700,95386371,95824560,96710102,97038618,97083188,97552860,97585763,98016744,98049831,98180172,98247428,98568067,98863660,98999392,99191391,99541674,99992582,...,153615786583784072278359953921445360139309777721519525819916373493653855436353674045975145887915658062372187820016366847883437569244690844973555731433597622692466941264233908764715904020100597374987831316750530938836952810828442432316914222868887940933950911818532531060771122173786808465802715024206585480103901083495059249318461475083056573119278860334144576194265584395308174473051942394608593125086467005591920222149388550068522218681891791523087911086341742574870450760131286273141662236275132370164380762361934160054344431774789932217583856732121628094316995916352365678649308169368718043924956985307875622710680313960621555547480864970064374958342486947487059844474196718330240071995929276756716423205498518098984547475321676679804551437664358001668944687371512388297088441683850450437898175330272606997919782343554197626517636645587061167843755515782904647220327013010528558809034396441888405572485237172847968536298571407949935632563092102894731814749524953096130717353530897413959669299253021079779841609064650755672203025339570307717235968146337130634642780790264699353622543780223979179512798861230615827550349110156594831985260357203521773249765947218744953507824705753372961164447870092998711505885993398557783846890911160505174850137968472375191350808266421592933023085575968360524186029019335658935348630579869068505949596285213384859396251553283515772210269904210222721146632824641451098607269332969293081761133754869469410588601962757537914318129983084755139411046975229298532747343598757721195903720313590537117349421587646141732511038196148310323633520810029670749943254296944078470096511900038405494934786780452259323994045940837531870739773699625178318916348236871989844115300622461280468574066350582587130071041653366594089357078021272155141631162318770564564791161826070868852711416501024120700441781064066804641091606991596799269719727919031094527858380817298783063550973687157112091506416304151617728773098336915568315348995626880797047391804825010012443459137298766891884837380876464693229466065147184508742926188626220787391940858209232669916437831120474455464060923215961269333353916700176096416602026818725170460317504870074186466417390901668807094738443340353037861208673880946658230269455690056224060020564589040242414523134339799663660173514293544671414448360811594471157448061058635744010344201086727678128814350440713456237130664910667863893564429707845765455287685377961637835684277967075032996668585917241855591413872230424656769681160519156527598770037981015793351742008751190841655203706481464107990422671229472096550338196248924580415992037927598036978301517927489542751382652238667219679874991581323081963124934914833549061944709047386986167535298423512821576565787143546479427577002458094356775616516260011390049721903519420551859838149401674585303307270381468565309050917082496266375616831231300503329719901826220418529456321739703683657258025524564431167969666092120048911695470943401847638562484126253831707406819708018652642625166019971820752277240935021075086728717016295250733019163145560561118812929246414128908694793677912236402612785624349686152215612517584926697535798506344601131093323960190534513527717265865964066881533546860465891869010316100891950346799752569889513167098725813950887852524558694310896763748811342149141229076483803550115051641406667630292932382571547031777234762762083275854722814096072629249152992073401657533245021072654624384680787151542244684509369191578962179277262566323716150053618995123294027347253274704915930805610661041931854830652048342154448624966984873135153042710175346760042000618244081668640587513587288535381450851975775032206333559954839238407500328349449474487661912872836331362801675768915221807806634672928747813145356444531071901782028800764611783484592142619952330491523377182214497654196758188307855045905196912929256107793991509169301366337508147177666197425574972944737471790400414640607921947805712908017674142706906597152539937784558828648006005562239577976277410217039599025619037744019725068159488640058296256489887876783975891410585574418308964241598488622614429092034906087757138766185736141935368531685631436697134664841278141359893946548672673677264940131855809037796609346876752596345598976767956609425840808967742486176611700873094240250300282037626893621335546560901465371077794165356309227970434761099717351894721170730769591712925029606086289215024475398115118113889168795703205865964246063198589718802659016235099744570254860888151864021153550367396966051434371219189351138022741912958389700472796163098247969181749462276872115405746403429447848518731037392625328474506340237936262549431620533647112655813708258910178927760755547675211911027386383593756561745409048494173807161928725385537577369697857936491492933148021471246010985341714095457846161444014038329763676523146505289192191948573740258117542785110438533786597032241204808520256746244477997927359126639857147087716}
30743 2732516561222402811509334836916818068932109974306994354677351969761086315629880342089972: {1198353,1689985,2027982,3011246,3408033,3959913,4301780,4759585,4944793,5162136,5711502,5807403,6145400,6233521,6292885,6419017,6787573,6913575,7063990,7266657,7374480,7551462,7866112,8296290,8476788,8849376,8905030,8917113,9181393,9356485,9466833,9794257,9918361,9955548,10016337,10096681,10274785,10686036,11227782,11486662,12004873,12329742,12669601,13325102,13638805,14423830,14515897,14952153,15133621,15471685,15537742,15901046,16238713,16339316,16357237,16366566,16387585,16593537,17308596,17748646,18099430,18566022,19035860,19303381,19324857,19665102,20415873,20580241,20761988,21136453,21719316,21881257,22167566,22715780,22843032,23341880,23524657,23946241,24741782,24771297,24930836,25698411,26259615,27258936,27350305,27394561,27654085,27681478,27982537,28010256,28570953,29238776,29999497,30338516,30339553,30386305,30666303,30737433,30885697,31335542,31511538,31819377,32820366,32893623,32916421,33184902,33980673,34031041,34932805,35135672,35615480,35769382,36463566,36720788,36748885,36949556,38246737,38287921,38292897,38982841,39159075,39368793,39527631,39550616,39668276,39810958,40067415,40939126,40980805,41282785,41605046,41606977,41769680,41870708,41919366,42113281,42738576,43237273,44098662,44169902,44199633,44494443,44765060,45270777,46291076,46353781,46711585,46776697,46990890,47125957,47313985,48080898,48478801,49021846,49176966,49539342,50049817,50123616,51021481,51342104,51541141,51679497,52386068,52728385,52785080,52969575,53028805,53411462,53658356,53718072,54289976,54340617,54486133,54697030,54872193,55269142,55744095,56053902,56389068,56500880,56776782,56996337,57369361,57759867,57856822,58057113,58153777,58486033,58692543,59045636,59383215,59435780,59460368,60158857,60161830,60226885,60432831,60954068,61076223,62142872,62701657,62953046,63093937,63099860,63274062,63342096,63518305,63563490,63634566,64834297,65311585,65458353,65636436,66310702,66600277,66892914,67208246,67565217,67703641,67801056,68091393,68722693,69255430,69872075,69910731,70461944,70682785,70985336,71072198,71228276,71259858,71322936,72194196,72272262,72303284,72470305,72887830,72935638,73728817,73814881,73865073,74125417,74837240,74838577,75719832,75828337,76145977,76221966,76276188,76331713,76362356,77003337,77251382,77421302,77451541,78338744,78373902,78569553,79269687,79858503,80166097,80238303,80831641,81175593,81682885,81956230,82634881,82771535,83106516,83776233,83846490,84054085,84191895,84819342,84956401,85020326,85184811,85764651,85830805,86059333,86133135,86624468,86757001,86964366,87014485,87077240,87465396,88131087,88146817,89166841,89362153,89436256,89804688,89856373,90266305,90388628,90561685,91049336,91875344,91990286,92207302,92375413,93218305,93938593,94368675,94735537,94787737,95154897,95783137,96011780,96020216,96460885,96957361,97344385,97563302,97961895,98019462,98347476,98949361,99325842,99817250,99918735,99923384,...,230423679875676108417539930882168040208964666582279288729874560240480783154530511068962718831873487093558281730024550271825156353867036267460333597150396434038700411896350863147073856030150896062481746975125796408255429216242663648475371334303331911400926367727798796591156683260680212698704072536309878220155851625242588873977692212624584859678918290501216864291398376592962261709577913591912889687629700508387880333224082825102783328022837687284631866629512613862305676140196929409712493354412698555246571143542901240081516647662184898326375785098182442141475493874528548517973962254053077065887435477961813434066020470940932333321221297455096562437513730421230589766711295077495360107993893915135074634808247777148476821212982515019706827156496537002503417031057268582445632662525775675656847262995408910496879673515331296439776454968380591751765633273674356970830490519515792838213551594662832608358727855759271952804447857111924903448844638154342097722124287429644196076030296346120939503948879531619669762413596976133508304538009355461575853952219505695951964171185397049030433815670335968769269198291845923741325523665234892247977890535805282659874648920828117430261737058630059441746671805139498067258828990097836675770336366740757762275206952708562787026212399632389399534628363952540786279043529003488403022945869803602758924394427820077289094377329925273658315404856315334081719949236962176647910903999453939622641700632304204115882902944136306871477194974627132709116570462843947799121015398136581793855580470385805676024132381469212598766557294222465485450281215044506124914881445416117705144767850057608242402180170678388985991068911256297806109660549437767478374522355307984766172950933691920702861099525873880695106562480049891134035617031908232712446743478155846847186742739106303279067124751536181050662671596100206961637410487395198904579591878546641791787571225948174595326460530735668137259624456227426593159647505373352473023493440321195571087707237515018665188705948150337827256071314697039844199097720776763114389282939331181087911287313849004874656746680711683196091384823941904000030875050264144624903040228087755690476257305111279699626086352503210642107665010529556791813010821419987345404183535084336090030846883560363621784701509699495490260271440317007121672541217391706736172091587953616015516301630091517193221525661070184355695997366001795840346644561768648182931528066942456753526416950612549495002878875862783387120808345636985154521740778734791398155056971523690027613013126786262482805559722196161985634006844208144825507294373386870623988056891397055467452276891234314127073978358000829519812487371984622944687402372250323592917063571080479251302947635269232364848680715319719141365503687141535163424774390017085074582855279130827789757224102511877954960905572202847963576375623744399563425246846950754994579852739330627794184482609555525485887038286846646751954499138180073367543206415102771457843726189380747561110229562027978963937749029957731128415861402531612630093075524442876099528744718340841678219393869621193363042190516868354603919178436524529228323418776377390046303697759516901696639985940285801770291575898798946100322300320290698837803515474151337925520199628854834269750648088720926331778786838041466345145623217013223711843614725705325172577462110001445439398573857320547665852144143124913782084221144108943873729488110102486299867531608981936577021180727313367026764053787368443268915893849485574225080428492684941041020879912057373896208415991562897782245978072513231672937450477309702729564065263020140063000927366122502960881270380932803072176277963662548309500339932258857611250492524174211731492869309254497044202513653372832711709952009393121719718034666796607852673043201146917675226888213929928495737285065773321746481295137282461782568857795369393884161690987263753952049506262220766499296138362459417106207685600621960911882921708569362026511214060359895728809906676838242972009008343359366964416115325559398538428556616029587602239232960087444384734831815175963837115878361627463446362397732933921643638052359131635708149278604212903052797528447155045701997261917212039840919823009010515897410197783713556694914020315128894518398465151934914138761213451613729264917551309641360375450423056440340432003319841352198056616691248034463841955652141649576027842081756096154387569387544409129433822536713097172677170833753193554808798946369094797884578203988524352649616855382291332227796031730325551095449077151556828784026707034112869437584550709194244647371953772624193415308173108619605144171772778096556088937992711759510356904393824147430800470668983720562388365268391641133321512817866541079575390634842618113572741260710742893088078306366054546786904737239399722032206869016478012571143186769242166021057494645514784719757933788287922860610387176314177665657800679895548361807212780385119366716996891038689959785720631574}
30744 2740902000404176968691639562032327399597143847806159812838663709855488369658345427858767: {522359,952103,1136159,1258823,1442759,1597804,1781354,2055359,2238983,2544863,2703976,3041973,3094943,3253034,3278159,3461303,4355282,4516869,4544044,4619543,5106359,5279884,5377225,5835623,6452670,6882848,6927359,7615336,7653743,7681750,7743204,8439359,8567253,9116714,9218100,9524903,9645359,9688876,9832640,10068616,10595985,10728023,11061720,11302384,11327193,11799168,11889484,12047759,12444435,12622444,12715182,12765983,13064903,13274064,13355116,13357545,14217194,14248048,14854223,14933322,14970376,15211223,15306482,15746183,16029054,16339823,16439656,16517759,16814159,16841673,16991903,17229993,17843114,18293159,18494613,18928082,19001303,19296023,19472759,19649423,19936204,19987653,20237783,20424145,21454634,21635745,21822088,21998063,22124716,22817063,23078128,23306613,23794825,23851569,23867759,24333482,24508974,24549849,24624983,24741359,24754696,25410674,25583929,25766476,25787303,25952485,25962894,26193359,26220136,26309303,26622969,27062159,27149145,27177863,27203114,27221164,27849033,28044623,28394725,28553790,28959088,29177350,29255063,29485223,29497653,30347183,30457376,30743713,31142982,31163545,31493663,32578974,32694023,33028396,33251349,34073670,34264548,34402703,34606789,34629983,35012820,35821103,35934359,36345248,36548470,37112673,37347008,37396254,37923145,38023823,38094604,38305343,38474159,38867783,39296234,39990263,40550303,40888404,40983244,41060594,41522217,42002663,42015384,42392759,42425836,43671743,43760488,43858164,43919590,44246536,44503583,44519350,44924341,45057143,45307564,45333623,45507774,45830783,45900985,46186945,46547759,46823159,46988303,47003313,47208383,47267307,47503729,48471359,48618088,49130282,49230549,49438270,49585345,49777353,49948583,50003183,51057196,51571154,51637463,52027822,52212100,52338385,52397663,52491724,52703508,52722983,53423220,53654073,54075383,54183359,54375013,54695349,54830543,54992159,55081182,55424334,55637903,55892488,55956325,56175143,56765183,56777834,56984768,57084313,57300743,57863845,58506194,58798216,58932844,59325924,59502414,59647703,59700863,59716437,59807159,60361036,60497303,60575474,61133159,61239023,61408689,61556423,61654201,62112169,62407569,62654520,62806062,62875823,62879049,62981159,64107864,64137743,64177630,64557359,64924103,65342759,65482585,65569288,65708663,65725994,65981350,66052456,66147993,66254853,66282863,66491423,66751943,66831488,66908159,67072945,67147590,67843943,67862470,68546401,68905996,68984159,69242759,69436614,69759359,70486335,70586197,70626100,71624096,71715143,72121347,72454156,72995543,73162924,73532769,73710383,73765449,73807045,74016263,74238194,74294725,74309013,74325460,74372759,74627159,74638993,74738536,74779703,75185424,75389159,75541343,75702376,75929834,75995116,76048103,76192585,77013156,77409484,77617874,77664359,77678590,78016823,78167759,78256724,78268343,78318623,78579102,78874825,79177620,79322543,79522943,79668169,79773263,80117193,80390926,80487534,80577108,80672759,81171359,81420359,81434964,82045545,82066823,82513583,82660394,82903713,83256743,83504063,84017689,84080853,84334034,84365416,84456128,84583602,84751320,84846088,85165173,86785233,87238703,87277804,87432961,87515248,87670514,88077430,88213823,88336082,88554359,88568454,88669861,88731670,89035345,89153670,89190552,89525159,90086956,90242745,90379105,90401408,90734159,90788524,90878903,91431102,91697759,93137159,93214308,93257486,93546550,93970154,94300274,94426463,94429569,94474103,94569359,94649790,94911093,95013144,95097248,95140223,95345235,95451849,95452945,96136463,96258928,96363016,96467759,96604222,97923430,98118359,98454654,98486764,98588159,99234794,99384983,99466053,99525359,99890282,...,345635519813514162626309896323252060313446999873418933094811840360721174731795766603444078247810230640337422595036825407737734530800554401190500395725594651058050617844526294720610784045226344093722620462688694612383143824363995472713057001454997867101389551591698194886735024891020319048056108804464817330233777437863883310966538318936877289518377435751825296437097564889443392564366870387869334531444550762581820499836124237654174992034256530926947799944268920793458514210295394114568740031619047832869856715314351860122274971493277347489563677647273663212213240811792822776960943381079615598831153216942720151099030706411398499981831946182644843656270595631845884650066942616243040161990840872702611952212371665722715231819473772529560240734744805503755125546585902873668448993788663513485270894493113365745319510272996944659664682452570887627648449910511535456245735779273689257320327391994248912538091783638907929206671785667887355173266957231513146583186431144466294114045444519181409255923319297429504643620395464200262456807014033192363780928329258543927946256778095573545650723505503953153903797437768885611988285497852338371966835803707923989811973381242176145392605587945089162620007707709247100888243485146755013655504550111136643412810429062844180539318599448584099301942545928811179418565293505232604534418804705404138386591641730115933641565994887910487473107284473001122579923855443264971866355999180909433962550948456306173824354416204460307215792461940699063674855694265921698681523097204872690783370705578708514036198572203818898149835941333698228175421822566759187372322168124176557717151775086412363603270256017583478986603366884446709164490824156651217561783532961977149259426400537881054291649288810821042659843720074836701053425547862349068670115217233770270780114108659454918600687127304271575994007394150310442456115731092798356869387817819962687681356838922261892989690796103502205889436684341139889739471258060028709535240160481793356631560856272527997783058922225506740884106972045559766298646581165144671583924408996771631866930970773507311985120021067524794137077235912856000046312575396216937354560342131633535714385957666919549439129528754815963161497515794335187719516232129981018106275302626504135046270325340545432677052264549243235390407160475510682508811826087560104258137381930424023274452445137275789832288491605276533543996049002693760519966842652972274397292100413685130289625425918824242504318313794175080681212518455477731782611168102187097232585457285535041419519690179393724208339583294242978451010266312217238260941560080305935982085337095583201178415336851471190610967537001244279718731057976934417031103558375485389375595356620718876954421452903848547273021072979578712048255530712302745137161585025627611874282918696241684635836153767816932441358358304271945364563435616599345137870270426132491869779108995941691276723914333288228830557430269970127931748707270110051314809622654157186765589284071121341665344343041968445906623544936596692623792103797418945139613286664314149293117077511262517329090804431790044563285775302531905878767654786793842485128164566085069455546639275352544959978910428702655437363848198419150483450480436048256705273211227006888280299443282251404625972133081389497668180257062199517718434825519835567765422088557987758866193165002168159097860785980821498778216214687370673126331716163415810594232165153729449801297413472904865531771090970050540146080681052664903373840774228361337620642739027411561531319868086060844312623987344346673368967108769847509406175715964554094346097894530210094501391049183754441321905571399204608264416945493822464250509898388286416875738786261317597239303963881745566303770480059249067564928014089682579577052000194911779009564801720376512840332320894892743605927598659982619721942705923692673853286693054090826242536480895630928074259393331149748944207543689125659311528400932941367824382562854043039766821090539843593214860015257364458013512515039050446624172988339097807642834924044381403358849440131166577102247722763945755673817542441195169543596599400882465457078538697453562223917906319354579196292670732568552995892875818059761379734513515773846115296675570335042371030472693341777597697727902371208141820177420593897376326964462040563175634584660510648004979762028297084925036872051695762933478212474364041763122634144231581354081316613694150733805069645759015756250629790332213198419553642196826867305982786528974425283073436998341694047595488326643173615727335243176040060551169304156376826063791366971057930658936290122962259662929407716257659167144834133406989067639265535356590736221146200706003475580843582547902587461699982269226799811619363085952263927170359111891066114339632117459549081820180357105859099583048310303524717018856714780153863249031586241968272177079636900682431884290915580764471266498486701019843322542710819170577679050075495336558034939678580947361}
30745 2749313024210725274978334137030706553990973749362750690950736544535851492623034236105732: {1997255,2365979,2396706,2672031,3379970,4055964,4879551,5680055,6022492,6532923,6599855,6663419,6816066,7586111,7919826,8603560,8810039,9519170,9679005,9889586,10324272,10469723,11085227,11423004,11522625,11575031,11614806,12111095,12290800,12467042,12493679,12585770,12838034,13099079,13417211,13575146,13675071,13827150,14127980,14384699,14533314,14748960,14861855,15102924,15732224,15778055,16177319,16592580,16693895,16914047,16953576,17155151,17698752,17810060,17834226,18362786,18712970,18933666,19072773,19094327,19588514,19836722,19911096,20032674,20193362,20549570,21325791,21372072,21574367,21660359,22399983,22455564,22942619,22959723,22973324,24009746,24043581,24322103,24620783,24659484,24920255,25339202,26650204,26764671,27277610,27655895,28300103,28392123,28847660,29031794,29904306,30267242,30943370,31075484,31802092,32181951,32208095,32477426,32678632,32689679,32714474,32733132,32775170,33070271,33187074,34026455,34617192,34704923,34922879,35186519,35453951,35497292,36198860,36500223,36763461,37132044,38071720,38116011,38290427,38606762,38649714,38715719,38944341,39330204,40218503,40804671,40831746,40884443,41160482,41161607,41285495,41523976,41988599,42272906,42540827,42830685,43017383,43438632,43762514,43766025,44335132,45431560,45686064,46683760,46714473,47049314,47618255,47892482,48324011,48868461,48905927,49483564,49542594,49861672,50376023,50510519,51110505,51229055,51396822,51448439,51459671,51807167,52519230,52806479,53032295,53319479,54055343,54517872,54700610,54789122,54822705,55281551,55308170,55362956,55678331,55965074,56020512,56094381,56634455,57141906,57373127,57795899,58477552,58944351,59551007,59998994,60677032,60679106,60772610,60831023,61332606,61474866,61590891,61771394,62671084,63023076,63638754,63821495,64871231,65265125,65396219,65614655,65640732,65787246,65832842,65879385,66239579,66369804,66779025,66906767,67445243,67961346,68062082,68261661,68727191,69849071,69865610,70189367,70271344,71096831,71230960,71538764,72927132,73441576,73497770,73666055,73695423,73819739,73899112,74157405,74240327,75451295,76493474,76575842,76585794,76622351,76638143,77356731,77741291,77965682,78041733,78318150,78491159,78737586,78813563,79055262,79101232,79336552,79621916,80134830,80483399,80836943,81878252,81961610,82565570,82621773,83136501,83210092,83213954,83539360,83741416,83838732,84159839,84226562,84317639,85166751,85477152,86132495,86474546,86563487,87759291,87836279,88197324,88282625,88339804,88399266,88445591,88925627,88988886,89253621,89530120,90541554,90567695,90863211,91436219,91453655,91678583,92582152,92707562,92906825,93423170,93516443,93553394,93981780,94209093,94251914,94627970,94741751,94993895,95528303,96161796,96266445,96457019,96761855,96957602,96963707,97820905,98043692,98353932,98588991,98955899,98972025,99030023,99078684,...,460847359751352216835079861764336080417929333164558577459749120480961566309061022137925437663746974187116563460049100543650312707734072534920667194300792868077400823792701726294147712060301792124963493950251592816510858432485327296950742668606663822801852735455597593182313366521360425397408145072619756440311703250485177747955384425249169719357836581002433728582796753185924523419155827183825779375259401016775760666448165650205566656045675374569263733259025227724611352280393858819424986708825397110493142287085802480163033295324369796652751570196364884282950987749057097035947924508106154131774870955923626868132040941881864666642442594910193124875027460842461179533422590154990720215987787830270149269616495554296953642425965030039413654312993074005006834062114537164891265325051551351313694525990817820993759347030662592879552909936761183503531266547348713941660981039031585676427103189325665216717455711518543905608895714223849806897689276308684195444248574859288392152060592692241879007897759063239339524827193952267016609076018710923151707904439011391903928342370794098060867631340671937538538396583691847482651047330469784495955781071610565319749297841656234860523474117260118883493343610278996134517657980195673351540672733481515524550413905417125574052424799264778799069256727905081572558087058006976806045891739607205517848788855640154578188754659850547316630809712630668163439898473924353295821807998907879245283401264608408231765805888272613742954389949254265418233140925687895598242030796273163587711160940771611352048264762938425197533114588444930970900562430089012249829762890832235410289535700115216484804360341356777971982137822512595612219321098875534956749044710615969532345901867383841405722199051747761390213124960099782268071234063816465424893486956311693694373485478212606558134249503072362101325343192200413923274820974790397809159183757093283583575142451896349190652921061471336274519248912454853186319295010746704946046986880642391142175414475030037330377411896300675654512142629394079688398195441553526228778565878662362175822574627698009749313493361423366392182769647883808000061750100528289249806080456175511380952514610222559399252172705006421284215330021059113583626021642839974690808367070168672180061693767120727243569403019398990980520542880634014243345082434783413472344183175907232031032603260183034386443051322140368711391994732003591680693289123537296365863056133884913507052833901225098990005757751725566774241616691273970309043481557469582796310113943047380055226026253572524965611119444392323971268013688416289651014588746773741247976113782794110934904553782468628254147956716001659039624974743969245889374804744500647185834127142160958502605895270538464729697361430639438282731007374283070326849548780034170149165710558261655579514448205023755909921811144405695927152751247488799126850493693901509989159705478661255588368965219111050971774076573693293503908998276360146735086412830205542915687452378761495122220459124055957927875498059915462256831722805063225260186151048885752199057489436681683356438787739242386726084381033736709207838356873049058456646837552754780092607395519033803393279971880571603540583151797597892200644600640581397675607030948302675851040399257709668539501296177441852663557573676082932690291246434026447423687229451410650345154924220002890878797147714641095331704288286249827564168442288217887747458976220204972599735063217963873154042361454626734053528107574736886537831787698971148450160856985369882082041759824114747792416831983125795564491956145026463345874900954619405459128130526040280126001854732245005921762540761865606144352555927325096619000679864517715222500985048348423462985738618508994088405027306745665423419904018786243439436069333593215705346086402293835350453776427859856991474570131546643492962590274564923565137715590738787768323381974527507904099012524441532998592276724918834212415371201243921823765843417138724053022428120719791457619813353676485944018016686718733928832230651118797076857113232059175204478465920174888769469663630351927674231756723254926892724795465867843287276104718263271416298557208425806105595056894310091403994523834424079681839646018021031794820395567427113389828040630257789036796930303869828277522426903227458529835102619282720750900846112880680864006639682704396113233382496068927683911304283299152055684163512192308775138775088818258867645073426194345354341667506387109617597892738189595769156407977048705299233710764582664455592063460651102190898154303113657568053414068225738875169101418388489294743907545248386830616346217239210288343545556193112177875985423519020713808787648294861600941337967441124776730536783282266643025635733082159150781269685236227145482521421485786176156612732109093573809474478799444064413738032956025142286373538484332042114989291029569439515867576575845721220774352628355331315601359791096723614425560770238733433993782077379919571441263148}
30746 2757749710252553792399301713582972977489253236769117074763046618862947457189062093192211: {583813,1044718,1320229,1904206,2272318,2517646,2885518,2972953,3156229,3195608,3339433,3562708,3595059,4110718,4477966,5069955,5089726,5407952,5896729,6083946,6189886,6506068,6556318,6922606,6988393,7528115,8439913,8710564,9033738,9088088,9239086,10212718,10224099,10559768,10754450,11509093,11671246,11879739,12905340,13125529,13304773,13765696,13854718,14278755,14736133,14834379,15230672,15307486,15363500,15486408,15806629,16878718,17134506,17407513,17422209,17659975,18233428,18294373,18436200,18471529,18700563,18878655,19049806,19257051,19290718,19356229,19377752,19665280,20137232,20362719,20740725,21191970,21456046,21799971,21999529,22123440,22262575,22604768,22654386,22701673,23577733,23598336,23778968,24095518,24801193,24888870,25244888,25430364,25531966,26129806,26369029,26548128,26710232,26715090,26751339,27544179,28069455,28400499,28434388,28496096,28593803,28716655,29382771,29708446,29755083,29866644,29940752,30049011,30290043,30422446,30612964,30824355,31492366,31553029,32058108,32679646,32879312,33035518,33095593,33312755,33628318,33683346,33983806,34459986,35686228,36014619,36059575,36333479,36586318,36989226,37856164,38002606,38008803,38364229,38592046,38844355,38945518,39298846,39752615,39872408,39975306,40475566,40848290,40879003,40916415,41056453,42729733,42909268,43271490,43547691,43628963,43644176,43996126,44249432,44371615,44856459,45248575,45400863,45634126,45723493,46054693,46156256,46415055,46613226,46881433,47589650,47703138,47735518,48529513,48666964,48716139,49017948,49071711,49099698,49162755,49249966,49482718,49509392,49780611,50006629,50821348,51167858,51532952,51574606,51904970,51925788,52386718,52440272,52618606,53092403,53245938,53917093,54124318,54241093,54298290,54355726,54406228,54442328,55418915,55695529,55698066,56089246,56789450,57107580,57144133,57304729,57910143,57918176,57946393,57974571,58354700,58510126,58970446,58995306,59705029,59864473,60694366,60914752,61247619,61296229,61487426,61740723,61854455,62285964,62327090,62987326,63164299,63409359,64261379,64614313,64661723,65157948,65388046,65643771,66056792,66502698,67463279,68147340,68529096,68805406,68989033,69203695,69213578,69259966,69419483,69764293,70025640,70573971,71642206,71838723,71868718,72690496,73096940,73273739,74225346,74313891,74378053,74683333,74694016,74792508,75140713,75445273,75846290,76047646,76189208,76205413,76610686,76948318,76963753,77095233,77735566,78324229,78338855,78592468,78778845,79980526,81009383,81100606,81776808,81966488,82050915,82072729,82121188,82183683,82962255,83044434,83420051,83947611,84005326,84030768,84448153,84785518,84851672,85712859,87245029,87343486,87520976,87716328,87839180,88209719,88493072,88560793,89007166,89038700,89423455,89580133,89848682,89998491,90114286,90615128,90667246,91015548,91018659,91030213,91158915,91661566,91675619,91801970,91998909,92212299,92373890,92657091,93095518,93646318,93902123,93976606,94006626,94416766,94481029,94534614,94623913,95007458,95458131,96942718,97236176,98260564,98461098,98595433,98680869,98736229,98749263,98876540,99170690,99439129,99527395,99554706,99897166,...,691271039627028325252619792646504120626893999746837866189623680721442349463591533206888156495620461280674845190073650815475469061601108802381000791451189302116101235689052589441221568090452688187445240925377389224766287648727990945426114002909995734202779103183396389773470049782040638096112217608929634660467554875727766621933076637873754579036754871503650592874195129778886785128733740775738669062889101525163640999672248475308349984068513061853895599888537841586917028420590788229137480063238095665739713430628703720244549942986554694979127355294547326424426481623585645553921886762159231197662306433885440302198061412822796999963663892365289687312541191263691769300133885232486080323981681745405223904424743331445430463638947545059120481469489611007510251093171805747336897987577327026970541788986226731490639020545993889319329364905141775255296899821023070912491471558547378514640654783988497825076183567277815858413343571335774710346533914463026293166372862288932588228090889038362818511846638594859009287240790928400524913614028066384727561856658517087855892513556191147091301447011007906307807594875537771223976570995704676743933671607415847979623946762484352290785211175890178325240015415418494201776486970293510027311009100222273286825620858125688361078637198897168198603885091857622358837130587010465209068837609410808276773183283460231867283131989775820974946214568946002245159847710886529943732711998361818867925101896912612347648708832408920614431584923881398127349711388531843397363046194409745381566741411157417028072397144407637796299671882667396456350843645133518374744644336248353115434303550172824727206540512035166957973206733768893418328981648313302435123567065923954298518852801075762108583298577621642085319687440149673402106851095724698137340230434467540541560228217318909837201374254608543151988014788300620884912231462185596713738775635639925375362713677844523785979381592207004411778873368682279779478942516120057419070480320963586713263121712545055995566117844451013481768213944091119532597293162330289343167848817993543263733861941547014623970240042135049588274154471825712000092625150792433874709120684263267071428771915333839098878259057509631926322995031588670375439032464259962036212550605253008270092540650681090865354104529098486470780814320951021365017623652175120208516274763860848046548904890274551579664576983210553067087992098005387521039933685305944548794584200827370260579250851837648485008636627588350161362425036910955463565222336204374194465170914571070082839039380358787448416679166588485956902020532624434476521883120160611871964170674191166402356830673702942381221935074002488559437462115953868834062207116750970778751190713241437753908842905807697094546042145959157424096511061424605490274323170051255223748565837392483369271672307535633864882716716608543890729126871233198690275740540852264983739558217991883382553447828666576457661114860539940255863497414540220102629619245308314373531178568142242683330688686083936891813247089873193385247584207594837890279226573328628298586234155022525034658181608863580089126571550605063811757535309573587684970256329132170138911093278550705089919957820857405310874727696396838300966900960872096513410546422454013776560598886564502809251944266162778995336360514124399035436869651039671135530844177115975517732386330004336318195721571961642997556432429374741346252663432326831621188464330307458899602594826945809731063542181940101080292161362105329806747681548456722675241285478054823123062639736172121688625247974688693346737934217539695018812351431929108188692195789060420189002782098367508882643811142798409216528833890987644928501019796776572833751477572522635194478607927763491132607540960118498135129856028179365159154104000389823558019129603440753025680664641789785487211855197319965239443885411847385347706573386108181652485072961791261856148518786662299497888415087378251318623056801865882735648765125708086079533642181079687186429720030514728916027025030078100893248345976678195615285669848088762806717698880262333154204495445527891511347635084882390339087193198801764930914157077394907124447835812638709158392585341465137105991785751636119522759469027031547692230593351140670084742060945386683555195395455804742416283640354841187794752653928924081126351269169321021296009959524056594169850073744103391525866956424948728083526245268288463162708162633227388301467610139291518031512501259580664426396839107284393653734611965573057948850566146873996683388095190976653286347231454670486352080121102338608312753652127582733942115861317872580245924519325858815432515318334289668266813978135278531070713181472442292401412006951161687165095805174923399964538453599623238726171904527854340718223782132228679264234919098163640360714211718199166096620607049434037713429560307726498063172483936544354159273801364863768581831161528942532996973402039686645085421638341155358100150990673116069879357161894722}
30747 2766212136374239938188141630316800493986066633711847289996397558274749863374419445834880: {1567077,2796157,2856309,3408477,3776469,3994510,4328277,4453385,4731958,4793412,5344062,6166077,6716949,6759940,7634589,7770389,7952077,8111928,8132585,8876057,9125919,9239797,9284829,9759102,9795533,9834477,10383909,10888205,11360110,12006437,12044984,12373309,13065846,13199710,13326838,13550607,13632132,13858629,14765257,15172222,15319077,15839652,15866213,16131675,16955533,17207120,17506869,17620078,18080533,19038340,19204375,19358010,19779172,19909373,20648544,20782077,20806597,20939446,21390233,22089277,22170454,22791785,22846008,22961229,23045250,23150062,23229612,23371453,24222190,24581600,24934084,24987358,25171540,25318077,25676068,25701759,25809449,26198158,26834422,27150292,27350142,27639977,27654300,28255960,28574709,28769398,28936077,29066628,29097289,29497920,29723710,30205848,30763013,31464448,31556110,31787955,32184069,32354638,33161837,33185160,33387790,33828094,33907152,33981579,34310302,34888357,35397504,35542985,35620120,35668452,36143277,36474953,36725572,37333305,37387949,37425940,37867332,38145546,38188654,38266205,38297949,38633257,38718253,39031453,39177028,39194709,39673444,39822192,40065348,40072635,40386724,41014909,41099140,41804573,42651582,42744144,43148734,43320718,44562669,44607785,44799966,44911128,45091333,45633669,45885238,45919446,45946648,46004149,47238549,47320205,47637037,48019492,48087162,48644206,49019469,49241566,49318968,49553277,49840510,50442477,50525019,50678404,50975709,51689979,53300408,53529342,53636585,54555220,54879477,55311790,55483839,56452933,56600206,56692189,56784246,57003909,57695320,57799693,57888069,58063588,58418277,58948269,59808612,59962959,60166733,60534484,60713349,60833705,61272435,61886740,62150968,62407657,63526685,63604184,63657973,64363902,64416190,64907235,64954852,65357264,65379358,65428948,65466264,65550340,65994189,66140542,66178013,66374148,66665557,68007785,68052910,68451189,69174793,69234384,69345109,69409846,69845758,69919839,70373038,70907902,70994584,71251097,71384475,71554707,71603277,71720677,71891209,72397720,72943375,73000446,73526922,73649547,73874949,74224077,74245213,74264088,75030013,75963997,76143440,76180973,76232022,76580854,76751787,77213524,77299428,77361909,77431438,77857455,77888682,78580077,78660408,78927909,79288237,79868907,80176613,80376589,80437006,81186477,81447435,81533589,81609342,81663492,81768886,82320964,82323214,82570990,82750537,83047952,83547099,83977198,84133869,84545812,85081654,85184175,85661370,86034766,86877264,87525028,87532050,87725413,87765189,88265197,88455669,88492959,88670264,89350093,89534413,89868137,90151853,90863120,91041549,91371175,91372128,91860517,92176709,92231139,93367520,93428946,93490635,94098628,94480989,95236510,95534569,95784964,96150709,96648022,97736922,97811854,98082069,98240585,98967128,99085188,99160133,99723344,99754047,...,1036906559440542487878929688969756180940340999620256799284435521082163524195387299810332234743430691921012267785110476223213203592401663203571501187176783953174151853533578884161832352135679032281167861388066083837149431473091986418139171004364993601304168654775094584660205074673060957144168326413394451990701332313591649932899614956810631868555132307255475889311292694668330177693100611163608003594333652287745461499508372712962524976102769592780843399832806762380375542630886182343706220094857143498609570145943055580366824914479832042468691032941820989636639722435378468330882830143238846796493459650828160453297092119234195499945495838547934530968811786895537653950200827848729120485972522618107835856637114997168145695458421317588680722204234416511265376639757708621005346981365990540455812683479340097235958530818990833978994047357712662882945349731534606368737207337821067771960982175982746737614275350916723787620015357003662065519800871694539439749559293433398882342136333557544227767769957892288513930861186392600787370421042099577091342784987775631783838770334286720636952170516511859461711392313306656835964856493557015115900507411123771969435920143726528436177816763835267487860023123127741302664730455440265040966513650333409930238431287188532541617955798345752297905827637786433538255695880515697813603256414116212415159774925190347800924697984663731462419321853419003367739771566329794915599067997542728301887652845368918521473063248613380921647377385822097191024567082797765096044569291614618072350112116736125542108595716611456694449507824001094684526265467700277562116966504372529673151455325259237090809810768052750436959810100653340127493472472469953652685350598885931447778279201613643162874947866432463127979531160224510103160276643587047206010345651701310812340342325978364755802061381912814727982022182450931327368347193278395070608163453459888063044070516766785678969072388310506617668310053023419669218413774180086128605720481445380069894682568817583993349176766676520222652320916136679298895939743495434014751773226990314895600792912320521935955360063202574382411231707738568000138937726188650812063681026394900607143157873000758648317388586264447889484492547383005563158548696389943054318825907879512405138810976021636298031156793647729706171221481426532047526435478262680312774412145791272069823357335411827369496865474815829600631988147008081281559900527958916823191876301241055390868876277756472727512954941382525242043637555366433195347833504306561291697756371856605124258559070538181172625018749882728935353030798936651714782824680240917807946256011286749603535246010554413571832902611003732839156193173930803251093310675126456168126786069862156630863264358711545641819063218938736136144766592136908235411484755076882835622848756088725053907508461303450797324075074912815836093690306849798035413610811278397475609337326987825073830171742999864686491672290809910383795246121810330153944428867962471560296767852213364024996033029125905337719870634809790077871376311392256835418839859992942447879351232533787551987272413295370133689857325907595717636302964360381527455384493698255208366639917826057634879936731286107966312091544595257451450351441308144770115819633681020664840898329846754213877916399244168493004540771186598553155304476559506703296266265673963276598579495006504477293582357942464496334648644062112019378995148490247431782696495461188349403892240418714596595313272910151620438242043157994710121522322685084012861928217082234684593959604258182532937871962033040020106901326309542528218527147893662283038293683590630283504173147551263323965716714197613824793250836481467392751529695164859250627216358783952791717911891645236698911311440177747202694784042269047738731156000584735337028694405161129538520996962684678230817782795979947859165828117771078021559860079162272478727609442686892784222778179993449246832622631067376977934585202798824103473147688562129119300463271619530779644580045772093374040537545117151339872518965017293422928504772133144210076548320393499731306743168291837267021452627323585508630789798202647396371235616092360686671753718958063737588878012197705658987678627454179284139203540547321538345890026711005127113091418080025332793093183707113624425460532261781692128980893386121689526903753981531944014939286084891254775110616155087288800434637423092125289367902432694744062243949841082452201415208937277047268751889370996639595258660926590480601917948359586923275849220310995025082142786464979929520847182005729528120181653507912469130478191374100913173791976808870368886778988788223148772977501434502400220967202917796606069772208663438602118010426742530747643707762385099946807680399434858089257856791781511077335673198343018896352378647245460541071317577298749144930910574151056570144340461589747094758725904816531238910702047295652872746742293413799495460103059529967628132457511733037150226486009674104819035742842083}
30748 2774700380655134360876743686515982339155112070358790322896110395545577240388386506831765: {1167626,1258987,1810651,2089436,2178067,2640458,3808412,4544636,5035292,5771036,5836387,5945906,5991765,6312458,6391216,6678866,7097937,7125416,7190118,7291651,7654747,7836187,8016093,8221436,8449925,8561227,8955932,9646627,10139910,10179452,10539361,10815904,10909651,11793458,12167892,12169147,12379772,13012136,13112636,13845212,13976786,14498851,14638653,15056230,16879826,17040165,17421128,17704507,18067476,18176176,18478172,19598769,19799565,19828651,19990257,20358067,20425436,20448198,21062947,21119536,21508900,21590851,22758333,23018186,23342492,23759478,23797925,24570067,24723965,24744667,25810680,26251058,26312827,26430117,26609546,27181507,27531392,27701851,27709436,28557510,29037015,29472266,29668758,30461344,30614972,30638227,30727000,30972816,31167605,31409169,31464425,31613258,32095085,33255681,33757436,33937865,34269012,34567875,34725093,34815026,34844418,34918627,35319950,35939227,36333285,36466856,36588746,36872400,36943058,37401126,37481037,37757310,38099612,38514102,38581436,38712458,38755504,38816851,39297237,39330560,39995707,40203317,40251633,40274464,40725438,41025213,41338651,41481450,42383940,42509947,42912092,43154097,43599942,43999058,44246880,44525150,44585565,45209536,45308772,45403346,45906965,46637857,46664347,46782425,47155466,47159851,47196672,47334165,47557936,48191036,48311549,48531957,48971285,49591805,49602386,49777740,49955467,50081685,50483405,50489776,50742141,50860728,51063932,51373925,51465453,51753307,52259612,52738058,53096256,53380147,53420464,53430180,53502678,54190867,54382097,54514651,55088358,55645627,55653661,56138910,56800998,56868776,56992192,57187606,57218319,57282981,57415747,57433310,58765542,59416892,59510166,59733288,59815507,59881504,60024365,60098022,60134251,60580086,60844892,60929851,61225928,61247587,61648710,62120261,62984732,62989987,63106058,63348005,63977373,64116216,64723101,64981077,65359292,65665651,65758624,66071036,66191186,66448651,66625510,67199949,67256636,67366692,67967612,68009251,68194025,68827857,68879169,68919972,69097387,69562651,70595393,71372456,72029238,72119150,72130743,72579485,72666958,72966309,73172636,73862349,73978452,74648717,74760765,75668105,75712328,76005212,76017606,76463851,76728458,77184092,77358425,77586481,77688710,77891036,78279547,78597692,79505230,79744816,79950612,80294013,80684347,80951132,81193565,81696580,81730651,81758006,81786185,81832830,81937925,82112906,82177987,82475851,82967685,83219251,83516107,84900309,85176369,85446449,85459466,85818536,86542980,86596237,86615707,87095382,87257926,87288352,87349027,87992252,88372651,88498864,88664467,88743230,89712918,90497150,90554251,90801726,91268252,91446986,92109386,92312512,92830110,93226452,93762866,94154251,94583227,95179300,95406276,95471036,96516905,96545853,96624285,96718387,96885173,97059026,97333928,97432278,97604837,98035896,98069037,98143422,98199396,98325510,98499932,98587333,98965436,99018784,99210813,99399667,99561222,...,1382542079254056650505239585293008241253787999493675732379247361442884698927183066413776312991240922561349690380147301630950938123202217604762001582902378604232202471378105178882443136180905376374890481850754778449532575297455981890852228005819991468405558206366792779546940099564081276192224435217859269320935109751455533243866153275747509158073509743007301185748390259557773570257467481551477338125778203050327281999344496950616699968137026123707791199777075683173834056841181576458274960126476191331479426861257407440489099885973109389958254710589094652848852963247171291107843773524318462395324612867770880604396122825645593999927327784730579374625082382527383538600267770464972160647963363490810447808849486662890860927277895090118240962938979222015020502186343611494673795975154654053941083577972453462981278041091987778638658729810283550510593799642046141824982943117094757029281309567976995650152367134555631716826687142671549420693067828926052586332745724577865176456181778076725637023693277189718018574481581856801049827228056132769455123713317034175711785027112382294182602894022015812615615189751075542447953141991409353487867343214831695959247893524968704581570422351780356650480030830836988403552973940587020054622018200444546573651241716251376722157274397794336397207770183715244717674261174020930418137675218821616553546366566920463734566263979551641949892429137892004490319695421773059887465423996723637735850203793825224695297417664817841228863169847762796254699422777063686794726092388819490763133482822314834056144794288815275592599343765334792912701687290267036749489288672496706230868607100345649454413081024070333915946413467537786836657963296626604870247134131847908597037705602151524217166597155243284170639374880299346804213702191449396274680460868935081083120456434637819674402748509217086303976029576601241769824462924371193427477551271279850750725427355689047571958763184414008823557746737364559558957885032240114838140960641927173426526243425090111991132235688902026963536427888182239065194586324660578686335697635987086527467723883094029247940480084270099176548308943651424000185250301584867749418241368526534142857543830667678197756518115019263852645990063177340750878064928519924072425101210506016540185081301362181730708209058196972941561628641902042730035247304350240417032549527721696093097809780549103159329153966421106134175984196010775042079867370611889097589168401654740521158501703675296970017273255176700322724850073821910927130444672408748388930341829142140165678078760717574896833358333176971913804041065248868953043766240321223743928341348382332804713661347405884762443870148004977118874924231907737668124414233501941557502381426482875507817685811615394189092084291918314848193022122849210980548646340102510447497131674784966738543344615071267729765433433217087781458253742466397380551481081704529967479116435983766765106895657333152915322229721079880511726994829080440205259238490616628747062357136284485366661377372167873783626494179746386770495168415189675780558453146657256597172468310045050069316363217727160178253143101210127623515070619147175369940512658264340277822186557101410179839915641714810621749455392793676601933801921744193026821092844908027553121197773129005618503888532325557990672721028248798070873739302079342271061688354231951035464772660008672636391443143923285995112864858749482692505326864653663242376928660614917799205189653891619462127084363880202160584322724210659613495363096913445350482570956109646246125279472344243377250495949377386693475868435079390037624702863858216377384391578120840378005564196735017765287622285596818433057667781975289857002039593553145667502955145045270388957215855526982265215081920236996270259712056358730318308208000779647116038259206881506051361329283579570974423710394639930478887770823694770695413146772216363304970145923582523712297037573324598995776830174756502637246113603731765471297530251416172159067284362159374372859440061029457832054050060156201786496691953356391230571339696177525613435397760524666308408990891055783022695270169764780678174386397603529861828314154789814248895671625277418316785170682930274211983571503272239045518938054063095384461186702281340169484121890773367110390790911609484832567280709682375589505307857848162252702538338642042592019919048113188339700147488206783051733912849897456167052490536576926325416325266454776602935220278583036063025002519161328852793678214568787307469223931146115897701132293747993366776190381953306572694462909340972704160242204677216625507304255165467884231722635745160491849038651717630865030636668579336533627956270557062141426362944884584802824013902323374330191610349846799929076907199246477452343809055708681436447564264457358528469838196327280721428423436398332193241214098868075426859120615452996126344967873088708318547602729727537163662323057885065993946804079373290170843276682310716200301981346232139758714323789444}
30749 2783214521410064908840712075591347241523922673605551050931483402703630623444876321134477: {1751439,2611795,3134154,3717967,3960687,4760515,5592314,5680795,5712618,6234739,6294115,6816954,7213795,7552938,7989020,8656554,8906770,8918859,9183187,9463916,9468687,9586824,9920299,10018299,10276795,10471087,10688124,10785177,11194915,11385619,11576539,12332154,12724315,13418959,13433898,13519880,13844347,15136579,15209865,15243487,15269178,15474715,15540778,15904154,16223856,16241887,16265170,16390795,17306515,17690187,17752114,18251838,18479594,18569658,18750979,19518204,19591066,19668954,20474899,20584267,20767818,20965179,21776410,22433659,22584345,22604527,22720220,23097715,23529259,23906731,24012874,24089968,24746618,25319739,25531795,26116339,26131692,26399420,26653676,26886125,27101214,27264264,27589411,27717258,29178115,29530514,30005371,30344444,30638154,30672297,30891739,31679304,31732426,31805827,31908499,32263350,33911066,34037707,34382191,34414240,34527279,34636795,35013738,35240156,35639217,36052687,36161066,37007827,38076680,38254219,38268715,38408750,38716020,38990467,39376587,39558344,39818746,39914319,41297088,41564154,41613194,41878892,42196795,42780466,42836265,43245739,44178554,44208399,44340908,44503137,44687647,45583570,45692016,45922458,46090500,46300124,46362859,46459224,46527907,46742906,47419887,47624515,48226795,48444380,49163200,49760179,49868168,49974716,50343080,50636154,51352136,51403518,51618898,52222539,52266627,52396316,52460971,52593427,52979925,53572687,53640115,53668844,54300584,54700284,54883119,55279954,55308600,55414587,56101689,56511920,56635965,57149418,57538796,57771153,57872154,58068687,58133256,58194578,58497487,58995840,59083747,59447420,60170671,60238795,60411696,60838987,61088157,61526026,62222175,62450899,62713939,62928896,63106291,63112220,63575910,63829915,64368138,64709276,65324515,65399913,65998587,66248287,66323674,66370320,66775580,66787725,66849871,67656188,67814304,67963158,68105019,68620604,69776714,70733199,70795008,71085970,71106139,71240240,71336904,72286554,72291259,72949906,73451144,73743259,74139931,74271115,74403579,74666610,74775898,74851880,75091219,75734664,76056115,76291092,76346659,76377308,76532410,76595898,76852171,77266514,77436506,78062906,78210379,78354056,78389418,78730915,79058611,79107087,79346888,79633579,79644384,80130696,80145270,80254017,80773448,80847547,81699115,82029818,82198280,82588795,82632537,83609146,84070795,84208365,84959515,84973039,85167187,85201497,85303164,85488288,85781409,86076187,86149965,86297468,86641436,88148313,88937359,89125338,89184307,89215570,89265249,89599932,89822256,89874019,90032059,90147033,90157771,90182666,90822127,90870129,91267338,91465795,91770476,91838892,91893296,92008298,92473065,92972779,94477098,94640410,94659087,94754179,95006515,95210899,95274074,95801899,96038984,96174324,96480115,97288412,97363795,98038938,98247115,98483132,98637936,99106554,99286779,99681020,99938265,...,2073813118881084975757859377939512361880681999240513598568871042164327048390774599620664469486861383842024535570220952446426407184803326407143002374353567906348303707067157768323664704271358064562335722776132167674298862946183972836278342008729987202608337309550189169320410149346121914288336652826788903981402664627183299865799229913621263737110264614510951778622585389336660355386201222327216007188667304575490922999016745425925049952205539185561686799665613524760751085261772364687412440189714286997219140291886111160733649828959664084937382065883641979273279444870756936661765660286477693592986919301656320906594184238468390999890991677095869061937623573791075307900401655697458240971945045236215671713274229994336291390916842635177361444408468833022530753279515417242010693962731981080911625366958680194471917061637981667957988094715425325765890699463069212737474414675642135543921964351965493475228550701833447575240030714007324131039601743389078879499118586866797764684272667115088455535539915784577027861722372785201574740842084199154182685569975551263567677540668573441273904341033023718923422784626613313671929712987114030231801014822247543938871840287453056872355633527670534975720046246255482605329460910880530081933027300666819860476862574377065083235911596691504595811655275572867076511391761031395627206512828232424830319549850380695601849395969327462924838643706838006735479543132659589831198135995085456603775305690737837042946126497226761843294754771644194382049134165595530192089138583229236144700224233472251084217191433222913388899015648002189369052530935400555124233933008745059346302910650518474181619621536105500873919620201306680254986944944939907305370701197771862895556558403227286325749895732864926255959062320449020206320553287174094412020691303402621624680684651956729511604122763825629455964044364901862654736694386556790141216326906919776126088141033533571357938144776621013235336620106046839338436827548360172257211440962890760139789365137635167986698353533353040445304641832273358597791879486990868029503546453980629791201585824641043871910720126405148764822463415477136000277875452377301624127362052789801214286315746001517296634777172528895778968985094766011126317097392779886108637651815759024810277621952043272596062313587295459412342442962853064095052870956525360625548824291582544139646714670823654738993730949631659201263976294016162563119801055917833646383752602482110781737752555512945455025909882765050484087275110732866390695667008613122583395512743713210248517118141076362345250037499765457870706061597873303429565649360481835615892512022573499207070492021108827143665805222007465678312386347861606502186621350252912336253572139724313261726528717423091283638126437877472272289533184273816470822969510153765671245697512177450107815016922606901594648150149825631672187380613699596070827221622556794951218674653975650147660343485999729372983344581619820767590492243620660307888857735924943120593535704426728049992066058251810675439741269619580155742752622784513670837679719985884895758702465067575103974544826590740267379714651815191435272605928720763054910768987396510416733279835652115269759873462572215932624183089190514902900702882616289540231639267362041329681796659693508427755832798488336986009081542373197106310608953119013406592532531347926553197158990013008954587164715884928992669297288124224038757990296980494863565392990922376698807784480837429193190626545820303240876484086315989420243044645370168025723856434164469369187919208516365065875743924066080040213802652619085056437054295787324566076587367181260567008346295102526647931433428395227649586501672962934785503059390329718501254432717567905583435823783290473397822622880355494405389568084538095477462312001169470674057388810322259077041993925369356461635565591959895718331656235542156043119720158324544957455218885373785568445556359986898493665245262134753955869170405597648206946295377124258238600926543239061559289160091544186748081075090234302679745037930034586845857009544266288420153096640786999462613486336583674534042905254647171017261579596405294792742471232184721373343507437916127475177756024395411317975357254908358568278407081094643076691780053422010254226182836160050665586186367414227248850921064523563384257961786772243379053807507963063888029878572169782509550221232310174577600869274846184250578735804865389488124487899682164904402830417874554094537503778741993279190517321853180961203835896719173846551698440621990050164285572929959859041694364011459056240363307015824938260956382748201826347583953617740737773557977576446297545955002869004800441934405835593212139544417326877204236020853485061495287415524770199893615360798869716178515713583563022154671346396686037792704757294490921082142635154597498289861821148302113140288680923179494189517451809633062477821404094591305745493484586827598990920206119059935256264915023466074300452972019348209638071485684166}
30750 2791754637190042697497627959726456480434254686839574947813509271940554664886918548292761: {706721,1136381,1320401,1443041,1626941,1872029,2239421,2335252,2423009,2517974,2728829,3095549,3278801,3461981,3621302,4178872,4356134,4701231,4803101,5280916,5289821,5836769,5897501,6018941,6443729,7110461,7352669,7616824,7836701,8388471,8561789,8568927,8622161,9089272,9986275,10070584,10225431,10549841,10910369,11329407,11542072,11630561,11672774,11829895,11891812,11983530,12409469,12624916,12782432,12984831,13067489,13357732,13360155,13426001,13843901,14195874,14250832,14380236,14499809,14583302,14857169,15309494,15392669,15672374,16032186,16442872,16521041,16899850,16995281,17122454,17172989,17911864,18473981,18498231,18592061,19005089,19293254,19299869,19476641,19653341,19829969,19888829,20150847,20279820,20358904,20770769,21078722,21631808,21819302,22178129,22821629,22903767,23311167,23586916,23856231,24335784,24338294,24397755,24629921,24759544,24804509,26024272,26198621,26225272,26372561,26488481,26628171,27377757,27690424,27719391,27854487,27953572,28223441,28400275,28997702,29277306,29386599,29491169,29503431,29663741,30008669,30112460,30697661,31151727,32243681,32664615,32871869,32999275,33100061,33317095,33759652,34068449,34080330,34409681,34613551,34842256,34920989,35409014,35828381,36019311,36111521,36134952,36352352,36846749,36956344,37119927,37637021,37930555,38200541,38482001,38875709,39044321,39197538,39599130,39657302,39980514,39998429,40166561,40651821,40716134,40850872,40896396,41575887,41732321,42125894,42178529,42239072,42401441,42568541,43017800,43181702,43347389,43634647,43847249,44050195,44295771,44933119,45066401,45232349,45508769,45516666,45840209,45957231,46036372,46171361,46557341,46684984,46997981,47163089,47218109,47383121,47513011,47518956,47595850,47598639,48395025,49140134,49447930,49489334,50013521,50286461,50504669,50866599,51621360,51811229,52137149,52348615,52502116,52520607,52625654,52733921,52860234,53219092,54032609,54241599,54248609,54363014,55003601,55062784,55165181,55403702,55418872,55426135,55703261,56937809,57095467,57115020,57419741,57473249,57613125,57875155,58074030,58221521,58541729,58914941,58944532,59181281,59337516,59660189,59728119,59819681,59872829,60555475,60922688,60934109,60987089,61229944,61276454,61304801,61454000,61569341,61945632,62256209,62335210,62346231,62419791,62468395,62818338,62889041,62928850,63152381,63226516,63783581,64151249,64170699,64190170,64269751,64728221,65094881,65495395,65722529,66267831,66453329,66505469,66511362,66661841,66922301,67086055,67514872,67875730,68014049,68375355,68538024,68559799,68883687,69102269,69135750,69428527,69450186,69630052,69688836,69774161,69837254,69929021,70114359,70639900,70676767,71165309,71422289,71627729,71878454,71884349,71923495,72666570,72933712,73177492,73744800,73886116,74309275,74795681,74802252,74962074,75514620,75557501,75709649,75954231,76199224,76216289,76519889,76974749,77028204,77075741,77105277,77162872,77424916,77428347,77428961,77511008,77633702,77983229,78184541,78335441,78594474,78661120,78890275,79088861,79690301,79991414,80406634,80503266,80548928,80839841,80886595,81437921,81450876,82050426,82183901,82531409,82677302,82919931,82962900,83225249,83274749,83430919,83469475,83522129,84034111,84460349,84570235,84756029,84767880,85019894,85724127,85775755,85824184,86181089,86308194,86808231,87199884,87291867,87355361,87404189,87998116,88221211,88379069,88493760,88670909,88687207,89050300,89171130,89883809,90419072,90609149,90617544,90806692,90898781,91043489,91139921,91621601,91813930,92289039,92726429,93275714,93301181,93328694,93564850,94310932,94319702,94393344,94590161,94637789,94668330,95115872,95161169,95363865,95471635,95636129,96299729,96382072,96552207,96623098,96772769,97056209,97063914,97904801,97942570,98281121,98750801,99125969,99183610,99204772,99453821,99485511,99547421,99555480,99874769,99910934,...,3110719678321627463636789066909268542821022998860770397853306563246490572586161899430996704230292075763036803355331428669639610777204989610714503561530351859522455560600736652485497056407037096843503584164198251511448294419275959254417513013094980803912505964325283753980615224019182871432504979240183355972103996940774949798698844870431895605665396921766427667933878084004990533079301833490824010783000956863236384498525118138887574928308308778342530199498420287141126627892658547031118660284571430495828710437829166741100474743439496127406073098825462968909919167306135404992648490429716540389480378952484481359891276357702586499836487515643803592906435360686612961850602483546187361457917567854323507569911344991504437086375263952766042166612703249533796129919273125863016040944097971621367438050438020291707875592456972501936982142073137988648836049194603819106211622013463203315882946527948240212842826052750171362860046071010986196559402615083618319248677880300196647026409000672632683303309873676865541792583559177802362111263126298731274028354963326895351516311002860161910856511549535578385134176939919970507894569480671045347701522233371315908307760431179585308533450291505802463580069369383223907994191366320795122899540951000229790715293861565597624853867395037256893717482913359300614767087641547093440809769242348637245479324775571043402774093953991194387257965560257010103219314698989384746797203992628184905662958536106755564419189745840142764942132157466291573073701248393295288133707874843854217050336350208376626325787149834370083348523472003284053578796403100832686350899513117589019454365975777711272429432304158251310879430301960020382480417417409860958056051796657794343334837604840929488624843599297389383938593480673530309480829930761141618031036955103932437021026977935094267406184145738444183946066547352793982105041579835185211824490360379664189132211550300357036907217164931519853004930159070259007655241322540258385817161444336140209684047706452751980047530300029560667956962748410037896687819230486302044255319680970944686802378736961565807866080189607723147233695123215704000416813178565952436191043079184701821429473619002275944952165758793343668453477642149016689475646089169829162956477723638537215416432928064908894093470380943189118513664444279596142579306434788040938323236437373816209470072006235482108490596424447488801895964441024243844679701583876750469575628903723166172606628833269418182538864824147575726130912666099299586043500512919683875093269115569815372775677211614543517875056249648186806059092396809955144348474040722753423838768033860248810605738031663240715498707833011198517468579521792409753279932025379368504380358209586469892589793076134636925457189656816208408434299776410724706234454265230648506868546268266175161722525383910352391972225224738447508281070920549394106240832433835192426828011980963475221490515228999594059475016872429731151385738365430990461833286603887414680890303556640092074988099087377716013159611904429370233614128934176770506256519579978827343638053697601362655961817239886110401069571977722787152908908893081144582366153481094765625099919753478172904639810193858323898936274633785772354351054323924434310347458901043061994522694989540262641633749197732505479013622313559795659465913429678520109888798797021889829795738485019513431880747073827393489003945932186336058136985445470742295348089486383565048211676721256143789785939818730454861314726129473984130364566968055252038585784651246704053781878812774547598813615886099120060320703978928627584655581443680986849114881050771890850512519442653789971897150142592841474379752509444402178254589085494577751881649076351858375153735674935710096733934320533241608084352126807143216193468001754206011086083215483388615562990888054034692453348387939843577497484353313234064679580237486817436182828328060678352668334539980347740497867893202130933803755608396472310419443065686387357901389814858592338933740137316280122121612635351454019617556895051880268785514316399432630229644961180499193920229504875511801064357881970756525892369394607942189113706848277082060015261156874191212766634036593116976963035882362537852417610621641964615037670080133015381339274254240075998379279551121340873276381596785345076386942680158365068580711261944595832044817858254673764325331848465261866401303912269276375868103707298084232186731849523247356604245626811831141806255668112989918785775982779771441805753845078760769827547660932985075246428359394939788562541546017188584360544960523737407391434574122302739521375930426611106660336966364669446318932504303507200662901608753389818209316625990315806354031280227592242931123287155299840423041198304574267773570375344533232007019595029056689057135941736381623213952731896247434792731722453169710433021384769241284276177714449593716732106141886958618240226880241398486380309178589902884397372535199111450679458029022314457107228526249}
30751 2800320806782970281378415870109191242392293304997378639714233157499324553143842599362586: {2919065,3502878,3656513,3776961,4393961,5223590,5431953,6268308,6534201,6601145,6664721,7435934,7921374,7953113,8811761,9521030,10099313,11087393,11184628,11361590,11425236,12374921,12469478,12496121,12588230,13633908,14387513,14427590,14519681,14864765,15105876,15672881,15781145,15978040,16180481,16361501,16697165,16917353,17313108,17509161,17813540,17814041,17837718,17975295,18366374,18927832,18937374,19173648,19308413,19840598,20036598,20553590,20942174,21293811,21376248,21570354,21664601,21874953,21886961,22389830,22771238,22947113,22964241,23153078,23508561,24048279,24229121,24326861,24664308,25072913,25349775,25448630,25683681,26644409,26714441,26837918,26867796,27039760,27688694,28939881,29483645,29492129,30273158,30419730,30486974,30538356,30949430,31081556,31618083,31808308,32336801,32447712,32483774,32530340,32696081,32728953,32781590,34613030,34711721,34941965,35380374,35460893,35504228,35547689,35744513,36503676,36507441,36726569,36959188,37139316,37501958,37640575,38050301,39036408,39182132,39337908,40226381,40849361,40892441,40949798,41168534,41361689,41535636,41930358,41996813,42199565,42607721,43496553,43552820,43915959,44867318,45168690,45209054,45440440,46195430,47058518,47248601,47813462,48025748,48179936,48333473,48491513,48797561,49493236,50520413,50639478,51063590,51120495,51817313,52232678,52263384,52798840,53113521,53307352,53576201,53634881,53772250,54202428,54239309,54528528,54824561,55178822,55434516,55689233,56078969,57545465,58356230,58780889,58796307,59061028,59075513,59398695,59485953,59970771,60010742,60126221,60688888,60842969,61074201,61276308,61344594,61783478,61965881,63188841,63358608,63464852,63611654,63816998,64526700,64772553,64883933,65627645,66523865,66674321,67458449,67517513,67822132,68075414,68274999,68337761,68764382,68828480,69054558,69273590,70027476,70203113,70480312,70857809,71110793,71278434,71393775,71900621,72105374,72322132,73680665,73710201,74015654,74171895,74234001,74858201,75096161,76153360,76508438,76537430,76653149,76817500,77432040,77756513,77980934,78753174,78829001,78938481,79004393,79033145,79116688,79290351,79637492,79828638,80499161,80796113,81544521,81610013,82594176,83105553,83128308,83226388,83757784,84176321,84334313,84393590,84510929,85560932,85672530,86491478,87037565,87111045,87853481,88299875,88357108,88416798,88681816,89006274,89361881,89375294,90825293,90828089,91167140,91384032,91454321,91471865,91696541,91844916,91914681,92181000,92357645,92600248,92725718,92918448,93055814,93485812,93502815,93534761,94011581,94067801,94227507,94393275,94839774,95249030,95547101,96285255,96453590,96475913,96781145,96888760,98326400,99049421,99213809,99520358,99736336,99767043,99949432,...,4147626237762169951515718755879024723761363998481027197137742084328654096781549199241328938973722767684049071140441904892852814369606652814286004748707135812696607414134315536647329408542716129124671445552264335348597725892367945672556684017459974405216674619100378338640820298692243828576673305653577807962805329254366599731598459827242527474220529229021903557245170778673320710772402444654432014377334609150981845998033490851850099904411078371123373599331227049521502170523544729374824880379428573994438280583772222321467299657919328169874764131767283958546558889741513873323531320572955387185973838603312641813188368476936781999781983354191738123875247147582150615800803311394916481943890090472431343426548459988672582781833685270354722888816937666045061506559030834484021387925463962161823250733917360388943834123275963335915976189430850651531781398926138425474948829351284271087843928703930986950457101403666895150480061428014648262079203486778157758998237173733595529368545334230176911071079831569154055723444745570403149481684168398308365371139951102527135355081337146882547808682066047437846845569253226627343859425974228060463602029644495087877743680574906113744711267055341069951440092492510965210658921821761060163866054601333639720953725148754130166471823193383009191623310551145734153022783522062791254413025656464849660639099700761391203698791938654925849677287413676013470959086265319179662396271990170913207550611381475674085892252994453523686589509543288388764098268331191060384178277166458472289400448466944502168434382866445826777798031296004378738105061870801110248467866017490118692605821301036948363239243072211001747839240402613360509973889889879814610741402395543725791113116806454572651499791465729852511918124640898040412641106574348188824041382606805243249361369303913459023208245527651258911928088729803725309473388773113580282432653813839552252176282067067142715876289553242026470673240212093678676873655096720344514422881925781520279578730275270335973396707066706080890609283664546717195583758973981736059007092907961259582403171649282087743821440252810297529644926830954272000555750904754603248254724105579602428572631492003034593269554345057791557937970189532022252634194785559772217275303631518049620555243904086545192124627174590918824684885925706128190105741913050721251097648583165088279293429341647309477987461899263318402527952588032325126239602111835667292767505204964221563475505111025890910051819765530100968174550221465732781391334017226245166791025487426420497034236282152724690500074999530915741412123195746606859131298720963671231785024045146998414140984042217654287331610444014931356624772695723213004373242700505824672507144279448626523453057434846182567276252875754944544579066368547632941645939020307531342491395024354900215630033845213803189296300299651263344374761227399192141654443245113589902437349307951300295320686971999458745966689163239641535180984487241320615777715471849886241187071408853456099984132116503621350879482539239160311485505245569027341675359439971769791517404930135150207949089653181480534759429303630382870545211857441526109821537974793020833466559671304230539519746925144431865248366178381029805801405765232579080463278534724082659363593319387016855511665596976673972018163084746394212621217906238026813185065062695853106394317980026017909174329431769857985338594576248448077515980593960989727130785981844753397615568961674858386381253091640606481752968172631978840486089290740336051447712868328938738375838417032730131751487848132160080427605305238170112874108591574649132153174734362521134016692590205053295862866856790455299173003345925869571006118780659437002508865435135811166871647566580946795645245760710988810779136169076190954924624002338941348114777620644518154083987850738712923271131183919791436663312471084312086239440316649089914910437770747571136891112719973796987330490524269507911738340811195296413892590754248516477201853086478123118578320183088373496162150180468605359490075860069173691714019088532576840306193281573998925226972673167349068085810509294342034523159192810589585484942464369442746687014875832254950355512048790822635950714509816717136556814162189286153383560106844020508452365672320101331172372734828454497701842129047126768515923573544486758107615015926127776059757144339565019100442464620349155201738549692368501157471609730778976248975799364329808805660835749108189075007557483986558381034643706361922407671793438347693103396881243980100328571145859919718083388728022918112480726614031649876521912765496403652695167907235481475547115955152892595091910005738009600883868811671186424279088834653754408472041706970122990574831049540399787230721597739432357031427167126044309342692793372075585409514588981842164285270309194996579723642296604226280577361846358988379034903619266124955642808189182611490986969173655197981840412238119870512529830046932148600905944038696419276142971368332}
30752 2808913109214351937310408865132549033299970046524798709583894086672068924828906969711422: {1413442,2272762,2640802,2886082,3156847,3253882,3340087,3744058,4478842,4670504,4846018,5035948,5254317,5457658,5897887,6080047,6191098,6557602,6807967,6923962,7242604,7835385,8357744,8622727,8712268,9402462,9606202,10561832,10579642,10610647,11153901,11673538,11795002,11882061,12037882,12887458,13128127,13307407,13980785,14220922,14281545,14705338,15096247,15233648,15673402,16344151,16561853,16776942,17042385,17123578,17137854,17233351,17244322,18178544,18475207,18652327,18704217,18882345,19360087,19890151,19972550,20141168,20450862,21099682,21641385,21820738,22179607,22266925,22658814,23056927,23084144,23261122,23345548,23659790,23783624,23967060,24818938,25249832,25564864,25969662,26134978,26715464,26720310,26756577,26852002,27416527,27549561,27687802,28391748,28406061,28501664,28760472,28999618,29166604,29493151,29714338,29760897,30054897,30618988,30785338,30830385,31344748,31413261,31731127,32064372,32355531,32885744,33042082,33273367,33584745,33799700,33990562,34127647,34156857,34244908,34345978,34639351,34729617,35823728,36947962,36996462,37184122,37695967,38010178,38172945,38586508,38599738,38851945,38953282,39306682,39659938,39760385,39777658,40256877,40301694,40559640,40662925,40717808,41533041,41541538,42157444,43263616,43405927,43638604,44356258,44380285,44737351,45069487,45409737,45629595,45643258,45730461,45807534,46064167,46198985,46424145,46622334,46643933,47173832,47221351,47712462,48671568,48676588,48725661,48795510,48977665,49172385,49196887,49259842,49519088,49609018,51919545,52048544,52397242,52450544,52745122,52954351,52976962,53070561,53102777,53256342,54090367,54441025,54755514,55380848,55438782,55708974,55907144,56252937,56446882,56800550,57316687,57477247,57995404,58278967,58554612,58773198,58982338,59006862,59327482,59717527,59877007,60017338,60032185,60224920,60991351,61395322,61424697,61670273,61752801,61785151,61866545,62260567,62303454,62893447,62895537,63176641,63840607,64487362,65329230,65743738,65998550,66200122,66510151,66634190,67300977,67476461,67519304,67753035,67813581,68136898,68160660,68819362,69227102,69293145,69684512,69841978,69933967,70587777,70818028,71656762,71720193,71940751,72038622,72223042,72269904,72704704,73288061,73693498,73826285,73912688,74239854,75004351,75274042,75309127,75861110,75959217,76401082,76595385,76964002,77596589,77751418,78039151,78088642,78349017,78395076,79094527,79198260,79314604,79331065,79545751,79961028,79996858,80333122,80658375,81025217,81303642,81432268,81701744,81792792,82090447,82768233,83151774,83280751,83464642,83725927,84251788,84357058,84478144,84762151,84777665,84802882,85137082,85205167,85457581,86035600,86236351,86363404,86694778,87269294,87410527,87455753,87534345,87694498,88100390,88591542,89866238,89890351,90016113,90132802,90402665,90464698,91017538,91033332,91628287,91680418,91693553,91914462,92016891,92072744,92342722,92675217,92781151,93114682,93369968,93920477,93995962,94326178,94436218,94644727,94766242,95026022,95037912,95191700,95197278,95358247,95417481,95643151,95725497,96021875,96354151,96790050,97617553,98280268,98600177,98758087,98895860,98978668,99546865,99882151,...,6221439356643254927273578133818537085642045997721540795706613126492981145172323798861993408460584151526073606710662857339279221554409979221429007123060703719044911121201473304970994112814074193687007168328396503022896588838551918508835026026189961607825011928650567507961230448038365742865009958480366711944207993881549899597397689740863791211330793843532855335867756168009981066158603666981648021566001913726472768997050236277775149856616617556685060398996840574282253255785317094062237320569142860991657420875658333482200949486878992254812146197650925937819838334612270809985296980859433080778960757904968962719782552715405172999672975031287607185812870721373225923701204967092374722915835135708647015139822689983008874172750527905532084333225406499067592259838546251726032081888195943242734876100876040583415751184913945003873964284146275977297672098389207638212423244026926406631765893055896480425685652105500342725720092142021972393118805230167236638497355760600393294052818001345265366606619747353731083585167118355604724222526252597462548056709926653790703032622005720323821713023099071156770268353879839941015789138961342090695403044466742631816615520862359170617066900583011604927160138738766447815988382732641590245799081902000459581430587723131195249707734790074513787434965826718601229534175283094186881619538484697274490958649551142086805548187907982388774515931120514020206438629397978769493594407985256369811325917072213511128838379491680285529884264314932583146147402496786590576267415749687708434100672700416753252651574299668740166697046944006568107157592806201665372701799026235178038908731951555422544858864608316502621758860603920040764960834834819721916112103593315588686669675209681858977249687198594778767877186961347060618961659861522283236062073910207864874042053955870188534812368291476888367892133094705587964210083159670370423648980720759328378264423100600714073814434329863039706009860318140518015310482645080516771634322888672280419368095412905503960095060600059121335913925496820075793375638460972604088510639361941889373604757473923131615732160379215446294467390246431408000833626357131904872382086158369403642858947238004551889904331517586687336906955284298033378951292178339658325912955447277074430832865856129817788186940761886378237027328888559192285158612869576081876646472874747632418940144012470964216981192848894977603791928882048487689359403167753500939151257807446332345213257666538836365077729648295151452261825332198599172087001025839367750186538231139630745551354423229087035750112499296373612118184793619910288696948081445506847677536067720497621211476063326481430997415666022397034937159043584819506559864050758737008760716419172939785179586152269273850914379313632416816868599552821449412468908530461297013737092536532350323445050767820704783944450449476895016562141841098788212481664867670384853656023961926950442981030457999188118950033744859462302771476730861980923666573207774829361780607113280184149976198174755432026319223808858740467228257868353541012513039159957654687276107395202725311923634479772220802139143955445574305817817786162289164732306962189531250199839506956345809279620387716647797872549267571544708702108647848868620694917802086123989045389979080525283267498395465010958027244627119591318931826859357040219777597594043779659591476970039026863761494147654786978007891864372672116273970890941484590696178972767130096423353442512287579571879637460909722629452258947968260729133936110504077171569302493408107563757625549095197627231772198240120641407957857255169311162887361973698229762101543781701025038885307579943794300285185682948759505018888804356509178170989155503763298152703716750307471349871420193467868641066483216168704253614286432386936003508412022172166430966777231125981776108069384906696775879687154994968706626468129359160474973634872365656656121356705336669079960695480995735786404261867607511216792944620838886131372774715802779629717184677867480274632560244243225270702908039235113790103760537571028632798865260459289922360998387840459009751023602128715763941513051784738789215884378227413696554164120030522313748382425533268073186233953926071764725075704835221243283929230075340160266030762678548508480151996758559102242681746552763193570690152773885360316730137161422523889191664089635716509347528650663696930523732802607824538552751736207414596168464373463699046494713208491253623662283612511336225979837571551965559542883611507690157521539655095321865970150492856718789879577125083092034377168721089921047474814782869148244605479042751860853222213320673932729338892637865008607014401325803217506779636418633251980631612708062560455184485862246574310599680846082396609148535547140750689066464014039190058113378114271883472763246427905463792494869585463444906339420866042769538482568552355428899187433464212283773917236480453760482796972760618357179805768794745070398222901358916058044628914214457052498}
30753 2817531623748006064969090827849718482813356513488057259676444829033856703110314021073350: {2120163,3409143,3961203,4086691,4329123,4880823,5192863,5616087,5838130,6294935,6718263,7005756,7269027,7313026,7553922,8186487,8787922,9053255,9241603,9286647,9797447,9836403,10385943,10447180,10863906,10890335,12008783,12536616,13068402,13202290,13329442,14103693,14409303,14768143,14871868,15138551,15842748,15869463,15906226,16244003,17159623,17510307,17623522,17692503,17891687,18056823,18084067,19042060,19331187,20198626,20810671,21331383,21579991,22058007,22093603,22174786,22369256,22723180,22850472,23376031,23510103,23954051,24520511,24749842,24938956,24992242,25165413,25176460,25685367,25706781,25866483,27267816,28775026,28855180,28939727,29039362,29181935,29729530,29958825,30211752,30676293,30769031,31345762,31488847,31562290,31649523,31956080,32360962,32723002,32731107,33394330,33834706,33988221,34626216,34891683,35018322,35489685,35627080,35628082,35675436,35950590,36458255,36732748,37228407,37395263,37855664,37874748,38273735,38347296,38616826,38640823,38954493,39180935,39202467,39681196,40073196,40080465,40278003,41022943,41107180,41277103,41531703,41620547,41812751,41884348,42249625,42526807,42587622,42752496,42806135,43140708,43329202,43404127,43499427,43749906,43773922,44571507,44779660,45542476,45894226,45928482,46178007,46306156,47017122,47141327,48096558,48233135,48458242,48653722,48918751,49328616,49563123,50141927,50145826,50699550,50897260,50985843,51367362,51518967,51557951,52696805,53288818,53428882,53675836,53735592,54079520,54548255,55377388,55421943,55494693,55776183,56463991,57015267,57879762,57899607,57979951,58429923,58960023,58967290,58984258,59079391,59489907,59666487,59944867,60452541,60546316,60839460,60845735,60973948,61076712,61898860,62163112,62312307,63236166,63616616,64673602,64792663,64895424,64967548,65060680,65392162,65457906,65563180,66534387,68464887,68711301,69226060,69358687,69423442,69883930,69933501,70760748,70921786,71008456,71095378,71489026,71568693,71905327,72494255,73007352,73014882,73193265,73453138,73889763,73918376,74278632,74413527,75003916,75044707,75281150,75978871,76100602,78072816,78194567,78364264,78595863,78675816,79117683,79465443,79884513,80392327,80452762,80563651,81698722,81784882,81899596,82133271,82337068,82723378,82766743,83071272,83158173,83563461,83741047,83860716,83993626,84185651,84399130,84670323,85200825,85215442,86993106,87105640,87831918,88159797,88282483,88468783,88473507,88510293,88522535,88991223,89551951,89734636,90026007,90337380,90418108,90880880,91211191,91878703,92092983,92390860,92984951,93133411,93455181,94117036,94497202,95626924,96051496,96169543,96359872,96398543,96666946,96731043,96983026,97595122,97993845,98137127,98615607,98986472,98997825,99143255,99300183,99951285,...,9332159034964882390910367200727805628463068996582311193559919689739471717758485698292990112690876227289110410065994286008918832331614968832143510684591055578567366681802209957456491169221111290530510752492594754534344883257827877763252539039284942411737517892975851261941845672057548614297514937720550067916311990822324849396096534611295686816996190765299283003801634252014971599237905500472472032349002870589709153495575354416662724784924926335027590598495260861423379883677975641093355980853714291487486131313487500223301424230318488382218219296476388906729757501918406214977945471289149621168441136857453444079673829073107759499509462546931410778719306082059838885551807450638562084373752703562970522709734034974513311259125791858298126499838109748601388389757819377589048122832293914864102314151314060875123626777370917505810946426219413965946508147583811457318634866040389609947648839583844720638528478158250514088580138213032958589678207845250854957746033640900589941079227002017898049909929621030596625377750677533407086333789378896193822085064889980686054548933008580485732569534648606735155402530819759911523683708442013136043104566700113947724923281293538755925600350874517407390740208108149671723982574098962385368698622853000689372145881584696792874561602185111770681152448740077901844301262924641280322429307727045911736437974326713130208322281861973583161773896680771030309657944096968154240391611977884554716988875608320266693257569237520428294826396472398874719221103745179885864401123624531562651151009050625129878977361449503110250045570416009852160736389209302498059052698539352767058363097927333133817288296912474753932638290905880061147441252252229582874168155389973383030004512814522788465874530797892168151815780442020590928442489792283424854093110865311797311063080933805282802218552437215332551838199642058381946315124739505555635473471081138992567396634650901071110721651494794559559014790477210777022965723967620775157451484333008420629052143119358255940142590900088682003870888245230113690063457691458906132765959042912834060407136210884697423598240568823169441701085369647112001250439535697857308573129237554105464288420857006827834856497276380031005360432926447050068426938267509487488869433170915611646249298784194726682280411142829567355540993332838788427737919304364122814969709312121448628410216018706446325471789273342466405687893323072731534039104751630251408726886711169498517819886499808254547616594472442727178392737998297898758130501538759051625279807346709446118327031634843630553625168748944560418177277190429865433045422122168260271516304101580746431817214094989722146496123499033595552405738565377229259839796076138105513141074628759409677769379228403910776371568970448625225302899329232174118703362795691945520605638804798525485167576151731057175916675674215342524843212761648182318722497301505577280484035942890425664471545686998782178425050617289193454157215096292971385499859811662244042670910669920276224964297262133148039478835713288110700842386802530311518769558739936482030914161092804087967885451719658331203208715933168361458726726679243433747098460443284296875299759260434518713919430581574971696808823901357317063053162971773302931042376703129185983568084968620787924901247593197516437040866940679386978397740289035560329666396391065669489387215455058540295642241221482180467011837796559008174410956336412226886044268459150695144635030163768431369357819456191364583944178388421952391093700904165756115757353953740112161345636438323642796440847658297360180962111936785882753966744331042960547344643152315672551537558327961369915691450427778524423139257528333206534763767256483733255644947229055575125461207024807130290201802961599724824253056380421429648580404005262618033258249646450165846688972664162104077360045163819530732492453059939702194038740712460452308548484984182035058005003619941043221493603679606392801411266825189416931258329197059162073704169444575777016801220411948840366364837906054362058852670685155640806356542949198297890688934883541497581760688514626535403193073645912269577677108183823826567341120544831246180045783470622573638299902109779350930889107647087613557252831864925893845113010240399046144017822762720227995137838653364022619829144790356035229160828040475095205742133785833787496134453574764021292975995545395785599203911736807829127604311121894252696560195548569742069812736880435493425418767004338969756357327948339314325417261535236282309482642982798955225739285078184819365687624638051565753081634881571212222174303722366908218564127791279833319981010899094008338956797512910521601988704826260169454627949877970947419062093840682776728793369861465899521269123594913722803320711126033599696021058785087170067171407825209144869641858195688742304378195167359509131299064154307723852828533143348781150196318425660875854720680640724195459140927535769708653192117605597334352038374087066943371321685578747}
30754 2826176429886779711073931590216566070844526872978817334770187216851838010261771876525463: {1259233,1443229,2545693,2826884,4545524,5281604,5772164,6019729,6313694,6507764,6680174,7488116,7837729,8019133,8757195,8957684,9341008,9692036,10071896,10508634,10915316,10969539,11330883,11795774,12160094,12382196,13058975,13069213,13115204,13181883,13615934,13847924,13965073,14485208,15670770,16295859,16715488,16819729,17245454,17424536,17885473,18589835,18594529,18804924,19212404,19302433,19573099,19602603,19803435,19994163,20538493,21123664,21159284,21221294,22298173,22307802,23347076,23590004,23764122,23802575,23859339,24075764,24749629,25774916,26256254,26318113,26435283,26492029,26614814,27961570,28403975,28441844,28563090,29410676,30127633,30192494,30297939,30467296,30644413,31173695,31346804,31470575,32362333,32688302,33123706,33262179,33553884,34084770,34247156,34275708,34466702,34488644,34925713,35096029,35946529,36068975,36116413,36357088,36950414,37124763,37304654,37408434,37488363,37764690,38318353,38720174,39780302,39945100,40172029,40282336,40901724,41849629,42199364,42518653,43162539,43282770,43559043,43641476,44186173,44359214,44518813,44533850,44594295,45317628,45349153,45915935,46113854,46168288,46522244,46673953,46691096,46839229,47018643,47319580,47343435,47567248,47934120,48541443,49084503,49601495,49637876,49965793,50091495,50293393,50499664,50752059,51129728,51383975,51939324,52269956,52355435,52527483,53430928,53440620,53442123,53513154,53704004,53925885,54392723,54833054,55099122,55375604,55664539,55974575,56783496,56812122,56928095,57003328,57520944,57588253,57882695,57925239,57999236,58333208,58986302,59428676,59521794,60109794,60465373,61237976,61570676,61660770,62132399,62689496,62826522,63003229,63161233,63462254,63621575,63792529,63881433,64128744,64678579,64711062,64993803,65624859,65660883,65771488,66084164,66546734,66775453,67094795,67169490,67599400,67981124,68255294,68313714,68489816,68568731,68691956,68841339,68892723,69221735,69267229,69278702,69459234,70042129,70525683,70609187,71647456,71740573,72144837,72687363,72970333,72980583,73895924,73992924,74368244,74653729,74663303,75218739,75391934,75682895,76020356,76049325,76217435,76345890,77051043,77086753,77173016,77199476,77373575,77703890,77906564,78296353,78613364,79200529,79319876,79520770,79555316,79801873,79933227,80143323,80513754,80603388,80851453,81119280,81209435,81325850,81435616,81449629,81953975,82344733,83066082,83083076,83534173,84045059,84314888,86527232,86532575,86613163,86634529,86811854,86819643,87277208,88245853,88450935,88476387,88712516,88760570,89474702,90138974,90819474,91153213,91259190,91286516,91460922,91615068,91731229,92128334,92397970,92848290,93244668,93287866,93754895,94347664,94442702,94854249,95424924,96739729,97010403,97343136,97353176,97451322,97591020,97955330,98088243,98186859,98344770,98393774,98519684,99038176,99218036,99562129,...,12442878713286509854547156267637074171284091995443081591413226252985962290344647597723986816921168303052147213421325714678558443108819958442858014246121407438089822242402946609941988225628148387374014336656793006045793177677103837017670052052379923215650023857301135015922460896076731485730019916960733423888415987763099799194795379481727582422661587687065710671735512336019962132317207333963296043132003827452945537994100472555550299713233235113370120797993681148564506511570634188124474641138285721983314841751316666964401898973757984509624292395301851875639676669224541619970593961718866161557921515809937925439565105430810345999345950062575214371625741442746451847402409934184749445831670271417294030279645379966017748345501055811064168666450812998135184519677092503452064163776391886485469752201752081166831502369827890007747928568292551954595344196778415276424846488053852813263531786111792960851371304211000685451440184284043944786237610460334473276994711521200786588105636002690530733213239494707462167170334236711209448445052505194925096113419853307581406065244011440647643426046198142313540536707759679882031578277922684181390806088933485263633231041724718341234133801166023209854320277477532895631976765465283180491598163804000919162861175446262390499415469580149027574869931653437202459068350566188373763239076969394548981917299102284173611096375815964777549031862241028040412877258795957538987188815970512739622651834144427022257676758983360571059768528629865166292294804993573181152534831499375416868201345400833506505303148599337480333394093888013136214315185612403330745403598052470356077817463903110845089717729216633005243517721207840081529921669669639443832224207186631177373339350419363717954499374397189557535754373922694121237923319723044566472124147820415729748084107911740377069624736582953776735784266189411175928420166319340740847297961441518656756528846201201428147628868659726079412019720636281036030620965290161033543268645777344560838736190825811007920190121200118242671827850993640151586751276921945208177021278723883778747209514947846263231464320758430892588934780492862816001667252714263809744764172316738807285717894476009103779808663035173374673813910568596066757902584356679316651825910894554148861665731712259635576373881523772756474054657777118384570317225739152163753292945749495264837880288024941928433962385697789955207583857764096975378718806335507001878302515614892664690426515333077672730155459296590302904523650664397198344174002051678735500373076462279261491102708846458174071500224998592747224236369587239820577393896162891013695355072135440995242422952126652962861994831332044794069874318087169639013119728101517474017521432838345879570359172304538547701828758627264833633737199105642898824937817060922594027474185073064700646890101535641409567888900898953790033124283682197576424963329735340769707312047923853900885962060915998376237900067489718924605542953461723961847333146415549658723561214226560368299952396349510864052638447617717480934456515736707082025026078319915309374552214790405450623847268959544441604278287910891148611635635572324578329464613924379062500399679013912691618559240775433295595745098535143089417404217295697737241389835604172247978090779958161050566534996790930021916054489254239182637863653718714080439555195188087559319182953940078053727522988295309573956015783728745344232547941781882969181392357945534260192846706885024575159143759274921819445258904517895936521458267872221008154343138604986816215127515251098190395254463544396480241282815915714510338622325774723947396459524203087563402050077770615159887588600570371365897519010037777608713018356341978311007526596305407433500614942699742840386935737282132966432337408507228572864773872007016824044344332861933554462251963552216138769813393551759374309989937413252936258718320949947269744731313312242713410673338159921390961991471572808523735215022433585889241677772262745549431605559259434369355734960549265120488486450541405816078470227580207521075142057265597730520918579844721996775680918019502047204257431527883026103569477578431768756454827393108328240061044627496764851066536146372467907852143529450151409670442486567858460150680320532061525357097016960303993517118204485363493105526387141380305547770720633460274322845047778383328179271433018695057301327393861047465605215649077105503472414829192336928746927398092989426416982507247324567225022672451959675143103931119085767223015380315043079310190643731940300985713437579759154250166184068754337442179842094949629565738296489210958085503721706444426641347865458677785275730017214028802651606435013559272837266503961263225416125120910368971724493148621199361692164793218297071094281501378132928028078380116226756228543766945526492855810927584989739170926889812678841732085539076965137104710857798374866928424567547834472960907520965593945521236714359611537589490140796445802717832116089257828428914104996}
30755 2834847607373265223522221892118778333343404703625846395411622620569247495788431895989262: {3533605,4240326,5681905,5745949,6602005,6818286,7215205,7922406,8134705,8173382,8658246,8812909,9360145,9470541,9761646,10020261,10385726,10473133,11197105,11232174,11578801,11676260,12115045,12497749,12589870,12674557,13421581,13436526,13644145,13847053,14011512,14538054,14626052,15107844,15246469,15477745,15762951,15870349,16182589,16372974,16394005,16919557,17309905,17575844,17693661,18106510,18240141,18483206,18573294,19594894,19672806,20423901,20478901,20771886,20894360,21144721,21395809,21727812,21780670,22608949,23506155,24015505,24017566,24628813,25073232,25816177,25868181,26136804,26404580,26449105,26658884,27405277,27993493,28207386,28309333,28818606,29183845,29487505,29536286,29743736,30094705,30277102,30351421,31685496,31738926,31812049,31812452,31831941,32218645,32488006,32929297,33461703,34044373,34319246,34388917,34934269,35020614,35247044,35385006,35552305,35646183,35783374,36059749,36113646,36168134,36763345,38074333,38084120,38662374,39183505,39384381,39922221,40397252,40854709,41621342,41942355,42662766,42808945,42844635,43031413,43110805,43159982,44116014,44187206,44349572,44696389,44738512,45288741,45446360,45700944,46371937,46537009,46752062,47020206,47908102,49032453,49041022,49499684,49685559,49877912,49931375,49984484,50069413,50330826,50352920,50392453,50814973,51041557,51127155,51370734,51413562,51700053,51732966,52603729,52749205,53336869,53583229,54072973,54535632,54551845,54853309,55425621,55717789,55956981,56112651,56169949,56647035,57550052,57710360,57879454,58078724,58080261,58152805,58363870,58508941,59149475,59258641,59459060,59670453,59917650,59928589,60423504,61352586,61538062,62047345,62691524,62726221,62977694,63124580,63299046,63912160,64191853,64721924,64924155,65337445,65446004,65462214,66538821,66626353,66788660,66800775,67130005,67526389,67669412,67730149,67976442,69170781,69219505,69252432,69783366,70036644,70979370,71155813,71254160,71256164,71350872,71901180,72499045,72916510,73465496,73757701,73775527,74285845,74456814,74790526,75711328,75749496,76200949,76367557,76547470,76694592,76963345,77233652,77281646,77908986,78361870,78404934,79074097,79362392,80146392,80160930,80269731,80556006,82045886,82214360,82249581,82554206,82605205,82648683,83063406,83241094,83625502,83768696,84191173,84499250,84976405,84989677,85053614,85175244,85184029,85218183,85504992,85612270,85864945,86093041,86281416,86658404,86808254,86998854,87499812,87547844,88479453,89143014,89201773,89282691,89559320,90164691,91084952,91788452,91856964,92356014,92369905,92411761,92491155,92612312,92832949,92960305,92991037,94023889,94034244,94239783,94282654,95025445,95193381,95820661,96193116,96466270,96499345,96916484,97066593,97307444,97383205,97805821,97837502,98266705,98657232,99126246,99149845,99444145,99492133,99820101,...,18664318069929764781820734401455611256926137993164622387119839379478943435516971396585980225381752454578220820131988572017837664663229937664287021369182111157134733363604419914912982338442222581061021504985189509068689766515655755526505078078569884823475035785951702523883691344115097228595029875441100135832623981644649698792193069222591373633992381530598566007603268504029943198475811000944944064698005741179418306991150708833325449569849852670055181196990521722846759767355951282186711961707428582974972262626975000446602848460636976764436438592952777813459515003836812429955890942578299242336882273714906888159347658146215518999018925093862821557438612164119677771103614901277124168747505407125941045419468069949026622518251583716596252999676219497202776779515638755178096245664587829728204628302628121750247253554741835011621892852438827931893016295167622914637269732080779219895297679167689441277056956316501028177160276426065917179356415690501709915492067281801179882158454004035796099819859242061193250755501355066814172667578757792387644170129779961372109097866017160971465139069297213470310805061639519823047367416884026272086209133400227895449846562587077511851200701749034814781480416216299343447965148197924770737397245706001378744291763169393585749123204370223541362304897480155803688602525849282560644858615454091823472875948653426260416644563723947166323547793361542060619315888193936308480783223955769109433977751216640533386515138475040856589652792944797749438442207490359771728802247249063125302302018101250259757954722899006220500091140832019704321472778418604996118105397078705534116726195854666267634576593824949507865276581811760122294882504504459165748336310779946766060009025629045576931749061595784336303631560884041181856884979584566849708186221730623594622126161867610565604437104874430665103676399284116763892630249479011111270946942162277985134793269301802142221443302989589119118029580954421554045931447935241550314902968666016841258104286238716511880285181800177364007741776490460227380126915382917812265531918085825668120814272421769394847196481137646338883402170739294224002500879071395714617146258475108210928576841714013655669712994552760062010720865852894100136853876535018974977738866341831223292498597568389453364560822285659134711081986665677576855475838608728245629939418624242897256820432037412892650943578546684932811375786646145463068078209503260502817453773422338997035639772999616509095233188944885454356785475996595797516261003077518103250559614693418892236654063269687261107250337497889120836354554380859730866090844244336520543032608203161492863634428189979444292992246998067191104811477130754458519679592152276211026282149257518819355538758456807821552743137940897250450605798658464348237406725591383891041211277609597050970335152303462114351833351348430685049686425523296364637444994603011154560968071885780851328943091373997564356850101234578386908314430192585942770999719623324488085341821339840552449928594524266296078957671426576221401684773605060623037539117479872964061828322185608175935770903439316662406417431866336722917453453358486867494196920886568593750599518520869037427838861163149943393617647802714634126106325943546605862084753406258371967136169937241575849802495186395032874081733881358773956795480578071120659332792782131338978774430910117080591284482442964360934023675593118016348821912672824453772088536918301390289270060327536862738715638912382729167888356776843904782187401808331512231514707907480224322691272876647285592881695316594720361924223873571765507933488662085921094689286304631345103075116655922739831382900855557048846278515056666413069527534512967466511289894458111150250922414049614260580403605923199449648506112760842859297160808010525236066516499292900331693377945328324208154720090327639061464984906119879404388077481424920904617096969968364070116010007239882086442987207359212785602822533650378833862516658394118324147408338889151554033602440823897680732729675812108724117705341370311281612713085898396595781377869767082995163521377029253070806386147291824539155354216367647653134682241089662492360091566941245147276599804219558701861778215294175227114505663729851787690226020480798092288035645525440455990275677306728045239658289580712070458321656080950190411484267571667574992268907149528042585951991090791571198407823473615658255208622243788505393120391097139484139625473760870986850837534008677939512714655896678628650834523070472564618965285965597910451478570156369638731375249276103131506163269763142424444348607444733816437128255582559666639962021798188016677913595025821043203977409652520338909255899755941894838124187681365553457586739722931799042538247189827445606641422252067199392042117570174340134342815650418289739283716391377484608756390334719018262598128308615447705657066286697562300392636851321751709441361281448390918281855071539417306384235211194668704076748174133886742643371157494}
30756 2843545236190519041773360675185055024608017402780792065867990935409918085019347231839652: {891083,1320659,1627259,1811123,2056163,2423483,2518466,2886458,3279443,3462659,4986659,5091386,5473283,5653768,6020123,6080843,6360489,6930083,7293563,8019659,9091048,9347843,10227429,10563208,10732259,11152763,11544328,11812763,11883609,12039458,12260073,12411923,12627388,12987369,13015528,13129859,13360348,13428659,13607843,14025659,14595325,14642469,14741003,14976232,15217259,15578589,15675458,16038266,16848261,17176403,17514390,17709203,17915368,18282565,18595763,18654803,18682016,18884805,19362659,19384072,19480523,19657259,19833923,20143792,20154789,21017268,21303323,21807081,21830632,21831083,21939078,21969805,22299659,22661766,23176859,23591548,23877323,24227123,24320188,24559461,24764392,24809483,25100363,26025769,26117950,26138426,26203883,26230408,26363766,26377859,27159765,27231868,27420203,27695848,27724809,27859941,27930146,27940403,28402259,28805963,28970416,29392341,29509209,29669723,30703859,30875963,31157829,31341540,32250203,32421659,32591718,32671005,33005725,33277859,33323605,33430976,33639458,34490908,34849072,35098403,35770946,36026349,36288683,37179670,37189058,37609848,37813859,38377259,38424808,38604866,38827403,39052283,39146198,39205206,39606870,39765565,39988326,40174763,40342859,41076986,41349923,41740859,41908283,42247328,42311079,42318568,42442588,42577259,42744323,43227909,43523003,43643173,44058805,44304429,44596346,44615604,45241643,45415653,46180859,46694152,46897523,47172803,47180008,47392883,47528244,47605150,47608389,47718678,48151528,48732009,49203659,49313123,49499258,50023859,50296859,50496565,50678723,51478869,51495683,51549832,52512508,52530921,52636226,52744859,52870566,52984058,53077509,53229628,53394923,53675061,54170469,54205883,54252201,54529763,55176659,55436965,55923140,56144843,56807950,56883688,57126180,57431723,57592259,57993561,58233683,58821352,58927259,59353403,59832203,60151043,60255266,60384988,60522659,60595878,60934592,60946883,61158803,61288826,61582259,61874605,62347390,62432013,62480605,62693608,62941150,63007643,63849563,63954659,63994149,64282309,64724666,64739973,65265659,65376604,65684123,66174021,66247412,66280809,66524358,66675923,67107768,68169540,68494312,68551416,68933404,68977288,69013403,69272123,69442093,69582323,69788963,69851426,69943859,70047083,70128093,70192058,70530309,71862153,71893058,71937565,72137950,72232826,72598405,72714176,73026659,73297609,73561533,73900828,74047859,74249526,74323825,74404523,74609308,74659043,74709923,74816868,74976726,75421403,75496239,75529380,75725843,76485683,76636706,77056101,77120343,77440348,77599449,77999963,78352259,78364405,78905725,79206203,79560604,79699333,79890200,80344058,80564672,80902405,81006923,81035773,81754163,81803448,81807505,82102259,82201643,82350659,83447221,83485825,83699258,83738003,83836859,84398728,84586765,84922163,85037306,85315859,85954523,86325078,86565540,86819181,87118086,87282952,87545805,88238449,88372346,88592963,88718428,88884683,89037626,89067700,89070205,89188590,89876475,90580643,90635256,90698306,90773843,91063403,91304483,91737923,91831870,92026523,92028879,92227708,92307093,92336576,92746763,93044488,93347906,93382192,93678458,93932713,94037286,94372643,94466541,94639160,94686870,94948569,95134496,95799563,95868240,96542065,96794123,96910429,97082886,98067659,98169006,98193321,99202990,99275752,99931586,...,27996477104894647172731101602183416885389206989746933580679759069218415153275457094878970338072628681867331230197982858026756496994844906496430532053773166735702100045406629872369473507663333871591532257477784263603034649773483633289757617117854827235212553678927553785825537016172645842892544813161650203748935972466974548188289603833887060450988572295897849011404902756044914797713716501417416097047008611769127460486726063249988174354774779005082771795485782584270139651033926923280067942561142874462458393940462500669904272690955465146654657889429166720189272505755218644933836413867448863505323410572360332239021487219323278498528387640794232336157918246179516656655422351915686253121258110688911568129202104923539933777377375574894379499514329245804165169273458132767144368496881744592306942453942182625370880332112752517432839278658241897839524442751434371955904598121168829842946518751534161915585434474751542265740414639098875769034623535752564873238100922701769823237681006053694149729788863091789876133252032600221259001368136688581466255194669942058163646799025741457197708603945820205466207592459279734571051125326039408129313700100341843174769843880616267776801052623552222172220624324449015171947722296887156106095868559002068116437644754090378623684806555335312043457346220233705532903788773923840967287923181137735209313922980139390624966845585920749485321690042313090928973832290904462721174835933653664150966626824960800079772707712561284884479189417196624157663311235539657593203370873594687953453027151875389636932084348509330750136711248029556482209167627907494177158095618058301175089293781999401451864890737424261797914872717640183442323756756688748622504466169920149090013538443568365397623592393676504455447341326061772785327469376850274562279332595935391933189242801415848406655657311645997655514598926175145838945374218516666906420413243416977702189903952703213332164954484383678677044371431632331068897171902862325472354452999025261887156429358074767820427772700266046011612664735690341070190373074376718398297877128738502181221408632654092270794721706469508325103256108941336003751318607093571925719387712662316392865262571020483504569491829140093016081298779341150205280814802528462466608299512746834938747896352584180046841233428488702066622979998516365283213757913092368444909127936364345885230648056119338976415367820027399217063679969218194602117314254890754226180660133508495553459659499424763642849783417328181535178213994893696274391504616277154875839422040128338354981094904530891660875506246833681254531831571289596299136266366504780814548912304742239295451642284969166439488370497100786657217215696131687779519388228414316539423223886278229033308137685211732329114706911345875675908697987696522356110088387075836561816916414395576455502728455193171527750027022646027574529638284944546956167491904516731841452107828671276993414637060996346535275151851867580362471645288878914156499579434986732128012732009760828674892891786399444118436507139864332102527160407590934556308676219809446092742483278412263903656355158974993609626147799505084376180180037730301241295381329852890625899277781303556141758291744724915090426471704071951189159488915319908793127130109387557950704254905862363774703742779592549311122600822038160935193220867106680988999189173197008468161646365175620886926723664446541401035513389677024523232869009236680658132805377452085433905090491305294108073458368574093751832535165265857173281102712497268347272061861220336484036909314970928389322542974892080542886335810357648261900232993128881642033929456947017654612674983884109747074351283335573269417772584999619604291301769451199766934841687166725376383621074421390870605408884799174472759169141264288945741212015787854099774748939350497540066917992486312232080135491458592197477359179819106582116222137381356925645454952546105174015010859823129664480811038819178404233800475568250793774987591177486221112508333727331050403661235846521099094513718163086176558012055466922419069628847594893672066804650624492745282065543879606209579220937736808733031324551471479702023361634493738540137350411867720914899706329338052792667322941262840671758495594777681535339030721197138432053468288160683985413515960092067859487434371068105687482484121425285617226401357501362488403360724292063878927986636187356797611735210423487382812933365682758089680586645709226209438210641306480276256301013016909269071983845017942976251784605708846928447928948396865677217855234554458097062873914154697259244904644713636666522911167100724655692383373839499959943032697282025016870392538731564805966114478780508363883849633912842257186281522048330186380109584397698563807370784741168409962133378100799088063176355261510201514223475627434608925574587066226913134585502078527393897192462923171558485599430046343450588955276982627564162041922172586377422782607309125959576352816792003056115122261200830113965056736241}
30757 2852269396562782629814647032711510255417457533506527486643947981050712926621146988951177: {30757,3777699,4329687,4947047,6421943,6790667,7067210,7637079,7954667,8480652,9242807,10101287,11363810,11388587,11491898,12377339,13104203,13204010,13636572,14430410,14522519,14770067,15675947,15784235,15844812,16269410,16346764,16364699,16700435,16961063,17316492,17625818,18059187,18086423,18720290,18755867,18941082,19101803,19312187,19523292,20040522,20771452,20946266,21668843,21891239,22394210,22439507,22464348,22951607,23157602,23352520,23513187,23912963,24057399,24230090,24233867,24995498,25179740,25349114,26123147,26271585,26719667,26843162,26873052,27288290,27596603,27694106,28023024,29076108,29106779,29252104,29489435,30215688,30400235,30492938,30955490,31525902,31740698,32365178,32702483,32745948,32788010,32908617,33083219,33621707,33839114,33992649,34039835,34619810,34718519,35151688,35200283,35387322,35554643,36213020,36480282,36733763,36966412,37028747,37146588,39044183,39176925,39189788,39207639,39345612,39545649,40234259,40847802,40857383,40957802,41177723,41282507,41543772,41788720,41895219,42132587,42289442,42616067,42791618,43113635,43455624,43561340,44996939,45106103,45217898,47012310,48031010,48035132,48807107,48887577,49257626,49773227,50146464,50459187,50530307,51468683,51479819,51632354,51736362,51827459,52273608,52809160,52898210,53053235,53317768,53645387,53656419,54810554,54856907,55769505,55783587,55986986,56414772,56618666,56710679,56759243,57637212,57907299,58367690,58719297,58792403,58807809,58975010,59072572,59410305,59487472,59574323,59932523,59982489,60054059,60189410,60355127,60554204,60702842,61615479,62272823,63370992,63477852,63624098,63624904,63663882,64437290,64864019,64976012,65640635,65858594,66382667,66537035,66894519,66923406,66932963,68088746,68351147,68638492,68777834,69868538,69876419,69903925,70041228,70216859,70494088,70770012,71104610,71292366,71407725,71566748,71578017,72119498,72227292,72336268,72564839,73526690,73848887,74248887,75481235,75863099,76148666,76168240,76372583,76872323,77324748,78367010,78768762,78844439,78954339,79305849,79476087,79844442,80514923,80794504,81413927,81709418,81720755,82809265,83242684,83884710,84192803,84527483,84728867,85211925,85325532,85617890,85689270,86062826,86165003,86166755,86221610,86319964,86866283,87870683,88232028,88374412,88699144,89392778,89477024,90055667,90382899,90577482,90892720,90893817,91401888,91472423,91714499,91933239,92376035,92743874,92839043,93074018,93261635,93504124,93521085,93553079,93982007,94030043,94040412,94086227,94411725,95816204,96494807,96800435,96907307,97086999,98064906,98082044,98999368,99068819,99233243,99371118,99450755,99498659,99755824,99786537,99862750,99968968,...,37328636139859529563641468802911222513852275986329244774239678758957886871033942793171960450763504909156441640263977144035675329326459875328574042738364222314269466727208839829825964676884445162122043009970379018137379533031311511053010156157139769646950071571903405047767382688230194457190059750882200271665247963289299397584386138445182747267984763061197132015206537008059886396951622001889888129396011482358836613982301417666650899139699705340110362393981043445693519534711902564373423923414857165949944525253950000893205696921273953528872877185905555626919030007673624859911781885156598484673764547429813776318695316292431037998037850187725643114877224328239355542207229802554248337495010814251882090838936139898053245036503167433192505999352438994405553559031277510356192491329175659456409256605256243500494507109483670023243785704877655863786032590335245829274539464161558439790595358335378882554113912633002056354320552852131834358712831381003419830984134563602359764316908008071592199639718484122386501511002710133628345335157515584775288340259559922744218195732034321942930278138594426940621610123279039646094734833768052544172418266800455790899693125174155023702401403498069629562960832432598686895930296395849541474794491412002757488583526338787171498246408740447082724609794960311607377205051698565121289717230908183646945751897306852520833289127447894332647095586723084121238631776387872616961566447911538218867955502433281066773030276950081713179305585889595498876884414980719543457604494498126250604604036202500519515909445798012441000182281664039408642945556837209992236210794157411068233452391709332535269153187649899015730553163623520244589765009008918331496672621559893532120018051258091153863498123191568672607263121768082363713769959169133699416372443461247189244252323735221131208874209748861330207352798568233527785260498958022222541893884324555970269586538603604284442886605979178238236059161908843108091862895870483100629805937332033682516208572477433023760570363600354728015483552980920454760253830765835624531063836171651336241628544843538789694392962275292677766804341478588448005001758142791429234292516950216421857153683428027311339425989105520124021441731705788200273707753070037949955477732683662446584997195136778906729121644571318269422163973331355153710951677217456491259878837248485794513640864074825785301887157093369865622751573292290926136156419006521005634907546844677994071279545999233018190466377889770908713570951993191595032522006155036206501119229386837784473308126539374522214500674995778241672709108761719461732181688488673041086065216406322985727268856379958888585984493996134382209622954261508917039359184304552422052564298515037638711077516913615643105486275881794500901211597316928696474813451182767782082422555219194101940670304606924228703666702696861370099372851046592729274889989206022309121936143771561702657886182747995128713700202469156773816628860385171885541999439246648976170683642679681104899857189048532592157915342853152442803369547210121246075078234959745928123656644371216351871541806878633324812834863732673445834906906716973734988393841773137187501199037041738074855677722326299886787235295605429268252212651887093211724169506812516743934272339874483151699604990372790065748163467762717547913590961156142241318665585564262677957548861820234161182568964885928721868047351186236032697643825345648907544177073836602780578540120655073725477431277824765458335776713553687809564374803616663024463029415814960448645382545753294571185763390633189440723848447747143531015866977324171842189378572609262690206150233311845479662765801711114097692557030113332826139055069025934933022579788916222300501844828099228521160807211846398899297012225521685718594321616021050472133032998585800663386755890656648416309440180655278122929969812239758808776154962849841809234193939936728140232020014479764172885974414718425571205645067300757667725033316788236648294816677778303108067204881647795361465459351624217448235410682740622563225426171796793191562755739534165990327042754058506141612772294583649078310708432735295306269364482179324984720183133882490294553199608439117403723556430588350454229011327459703575380452040961596184576071291050880911980551354613456090479316579161424140916643312161900380822968535143335149984537814299056085171903982181583142396815646947231316510417244487577010786240782194278968279250947521741973701675068017355879025429311793357257301669046140945129237930571931195820902957140312739277462750498552206263012326539526284848888697214889467632874256511165119333279924043596376033355827190051642086407954819305040677818511799511883789676248375362731106915173479445863598085076494379654891213282844504134398784084235140348680268685631300836579478567432782754969217512780669438036525196256617230895411314132573395124600785273702643503418882722562896781836563710143078834612768470422389337408153496348267773485286742314988}
30758 2861020168956205558058283445902260759887360170920746390675091822109763814541534689023147: {952537,1782166,1872517,2641318,2974117,3254518,3340741,3622246,3890137,4112326,4846966,5036932,5534437,5772916,6081241,6558886,6925318,6991141,7354597,9973318,10071337,10182772,10600815,10946566,11153497,11307536,12040246,12161686,12720978,13310041,13860166,14587126,14741977,15099241,16039318,16525417,17045715,17236777,17237847,17414437,18182096,18656041,18695686,19806015,19894117,20433455,20454858,21126416,21464518,21645615,22305526,23061541,23088656,23625526,23767218,24078916,24287017,24404115,24520146,24823846,25254776,25595591,25964315,25974738,26031056,26205637,26259718,26438727,26720696,26857318,27074857,27215686,28051318,28080435,28411623,29190650,29284938,29482006,29671717,29952464,30060783,30434518,30757727,31157178,31350916,31419399,31474675,32076532,32252377,33108997,33451141,33591315,33696522,34352806,34646377,34736403,35028780,35418406,35830736,36345135,36347737,36565130,37191526,37309606,37364032,37493247,37769610,38023671,38725318,38768144,38886277,38961046,39314518,39667846,40264743,40287584,40309578,40932435,41541159,42034536,42413017,42606646,43081177,43581541,43614162,43661264,43662166,43878156,43939610,44599318,45244741,45266275,45323532,45739407,45742297,46073641,46208015,46353718,46433235,46653047,47183096,47231077,47288853,47396137,47611047,47754646,48220357,48454246,48547767,48640376,48987235,49118922,49182015,49371241,49528784,49618966,50200726,50518597,50758671,51929715,52051538,52235900,52276852,52407766,52460816,52727532,52755718,52965337,53080983,54263641,54319530,54451675,54463736,54720423,54840406,55391696,55449618,55671791,55719882,55860292,55880806,56202457,56804518,57167977,57489241,57611926,57940832,58291141,58784682,59018418,59339446,59889541,60043915,61004137,61163077,61271703,61407718,61436703,61682327,61751926,61798117,62273641,62315658,62683080,63380677,63434163,64187427,64500406,64843318,64956037,65183436,65342010,65741017,66011450,66555718,66647210,66680617,66861952,67278916,67305577,67826847,68981816,69698144,70196806,70518465,70695191,71541892,71648041,72046515,72052698,72109957,72577366,73840715,73886439,74359340,74378116,74409817,74715241,75020377,75172837,75219696,75477541,75627718,75692755,75934057,76541737,76754518,76849616,77209732,77448531,77604543,77611751,77654806,78055897,78104566,78206917,78292396,78410412,79213740,79347315,79531130,79713157,79976652,80349526,80685718,81220015,82153972,82215831,82699846,83481718,83744041,83816566,83980479,84494656,84622158,84637136,84780517,84885176,84927999,84928297,85154518,85474279,85488646,85798115,86455818,86624447,87046006,87286346,87472847,87551535,88117610,88462515,88599397,88608858,88891141,89192692,89231208,89458435,89909977,90284115,90420335,90483286,90635557,90831306,91054263,91359337,92081317,92361718,92801497,93388304,93795046,94345606,94360016,94785766,95056488,95210300,95216778,95379241,95436147,95437356,95495823,95806597,96303056,96517417,96655935,97464018,97636627,98407318,98498137,98619443,98626246,98787891,98998516,99904297,...,55992954209789294345462203204366833770778413979493867161359518138436830306550914189757940676145257363734662460395965716053512993989689812992861064107546333471404200090813259744738947015326667743183064514955568527206069299546967266579515234235709654470425107357855107571651074032345291685785089626323300407497871944933949096376579207667774120901977144591795698022809805512089829595427433002834832194094017223538254920973452126499976348709549558010165543590971565168540279302067853846560135885122285748924916787880925001339808545381910930293309315778858333440378545011510437289867672827734897727010646821144720664478042974438646556997056775281588464672315836492359033313310844703831372506242516221377823136258404209847079867554754751149788758999028658491608330338546916265534288736993763489184613884907884365250741760664225505034865678557316483795679048885502868743911809196242337659685893037503068323831170868949503084531480829278197751538069247071505129746476201845403539646475362012107388299459577726183579752266504065200442518002736273377162932510389339884116327293598051482914395417207891640410932415184918559469142102250652078816258627400200683686349539687761232535553602105247104444344441248648898030343895444593774312212191737118004136232875289508180757247369613110670624086914692440467411065807577547847681934575846362275470418627845960278781249933691171841498970643380084626181857947664581808925442349671867307328301933253649921600159545415425122569768958378834393248315326622471079315186406741747189375906906054303750779273864168697018661500273422496059112964418335255814988354316191236116602350178587563998802903729781474848523595829745435280366884647513513377497245008932339840298180027076887136730795247184787353008910894682652123545570654938753700549124558665191870783866378485602831696813311314623291995311029197852350291677890748437033333812840826486833955404379807905406426664329908968767357354088742863264662137794343805724650944708905998050523774312858716149535640855545400532092023225329471380682140380746148753436796595754257477004362442817265308184541589443412939016650206512217882672007502637214187143851438775425324632785730525142040967009138983658280186032162597558682300410561629605056924933216599025493669877495792705168360093682466856977404133245959997032730566427515826184736889818255872728691770461296112238677952830735640054798434127359938436389204234628509781508452361320267016991106919318998849527285699566834656363070356427989787392548783009232554309751678844080256676709962189809061783321751012493667362509063663142579192598272532733009561629097824609484478590903284569938332878976740994201573314434431392263375559038776456828633078846447772556458066616275370423464658229413822691751351817395975393044712220176774151673123633832828791152911005456910386343055500054045292055149059276569889093912334983809033463682904215657342553986829274121992693070550303703735160724943290577757828312999158869973464256025464019521657349785783572798888236873014279728664205054320815181869112617352439618892185484966556824527807312710317949987219252295599010168752360360075460602482590762659705781251798555562607112283516583489449830180852943408143902378318977830639817586254260218775115901408509811724727549407485559185098622245201644076321870386441734213361977998378346394016936323292730351241773853447328893082802071026779354049046465738018473361316265610754904170867810180982610588216146916737148187503665070330531714346562205424994536694544123722440672968073818629941856778645085949784161085772671620715296523800465986257763284067858913894035309225349967768219494148702566671146538835545169999239208582603538902399533869683374333450752767242148842781741210817769598348945518338282528577891482424031575708199549497878700995080133835984972624464160270982917184394954718359638213164232444274762713851290909905092210348030021719646259328961622077638356808467600951136501587549975182354972442225016667454662100807322471693042198189027436326172353116024110933844838139257695189787344133609301248985490564131087759212419158441875473617466062649102942959404046723268987477080274700823735441829799412658676105585334645882525681343516991189555363070678061442394276864106936576321367970827031920184135718974868742136211374964968242850571234452802715002724976806721448584127757855973272374713595223470420846974765625866731365516179361173291418452418876421282612960552512602026033818538143967690035885952503569211417693856895857896793731354435710469108916194125747828309394518489809289427273333045822334201449311384766747678999919886065394564050033740785077463129611932228957561016727767699267825684514372563044096660372760219168795397127614741569482336819924266756201598176126352710523020403028446951254869217851149174132453826269171004157054787794384925846343116971198860092686901177910553965255128324083844345172754845565214618251919152705633584006112230244522401660227930113472482}
30759 2869797634079570740538005891761712704849297495133979866013582619340973592995916215057787: {61514,2673249,3961977,4881777,5433369,6168489,6296165,7216145,7270449,7555398,7589569,8659374,9838329,9894094,10387977,12728465,12843886,13581334,13848857,14134420,14959977,15141509,15274158,15909334,16247177,16419849,16961304,17162977,18060369,18242529,18485614,19081467,19917161,20202574,20481569,20790249,21584209,21880689,22097929,22727620,22777174,22983796,23380609,23958737,24058977,24754678,25079449,26208406,26408020,27273144,27650789,28043529,28860820,29045038,29499817,29540134,30098645,30682287,31351894,31568470,31689624,32196777,32538820,32693528,32729398,33174809,33400870,33458289,33922126,34632984,35251636,35438289,35650827,36118374,36172846,36489221,36780219,37019897,37235769,37440580,37511734,37882164,38203606,38624374,38648389,38962107,39046584,39188645,39389577,40081044,40095665,40285977,40823529,41030977,41285209,41542904,41628689,41892532,42076977,42560329,43337686,43412629,43782478,43785975,43927407,44223009,44788420,44879014,44928696,45651777,45903214,46022161,46315204,46705040,46735767,47026374,47150549,47655769,47825926,48114798,48460180,48467734,49990996,50359480,50544783,50698228,51529209,51568037,52246294,52478081,52543170,53127609,53439334,53686324,53746104,54576580,54847695,55193206,55388212,55787289,55964409,56046048,56475049,56654415,58087977,58152216,58213558,58441569,58504208,58971777,58978870,59103017,59501769,59956609,60359089,60431376,60464367,60800470,60985876,61910980,63051804,63436801,63481396,63682897,63909969,64200257,64730356,65294875,65346065,65404966,65421243,65491896,65493249,65576020,65817234,65909415,66166438,66898977,67243414,67678228,67985298,68079670,69201877,69239620,69437038,69530577,69825365,70303376,70400566,70774644,71109286,71631969,72426040,72681369,72960564,73467526,73678383,73932824,74057494,74274529,74293176,74428449,75059401,75301089,76657477,77492069,78077307,78088366,78353850,78379576,78415278,78611649,78691224,79091298,79133577,80208161,80468518,81479295,81695604,81714766,81915604,82260609,82355446,82565014,82782949,83087544,83174427,83577440,83579823,83790438,83821209,84098645,84202217,84265174,84578884,85206777,85232134,85583236,86198057,86227270,86417889,86911248,87122680,88177023,88299769,88527627,89009169,89427365,89569489,89993878,90212206,90435796,90849109,91896889,92107417,92111577,92627889,92949175,92972645,93151849,93473487,94024620,94173497,94696969,96062020,96070264,96188377,96512165,96750609,97264977,97614214,97775154,97865495,98013015,98515252,99017175,99546454,99833577,99970815,...,83989431314683941518193304806550250656167620969240800742039277207655245459826371284636911014217886045601993690593948574080269490984534719489291596161319500207106300136219889617108420522990001614774596772433352790809103949320450899869272851353564481705637661036782661357476611048517937528677634439484950611246807917400923644564868811501661181352965716887693547034214708268134744393141149504252248291141025835307382381460178189749964523064324337015248315386457347752810418953101780769840203827683428623387375181821387502009712818072866395439963973668287500160567817517265655934801509241602346590515970231717080996717064461657969835495585162922382697008473754738538549969966267055747058759363774332066734704387606314770619801332132126724683138498542987737412495507820374398301433105490645233776920827361826547876112640996338257552298517835974725693518573328254303115867713794363506489528839556254602485746756303424254626797221243917296627307103870607257694619714302768105309469713043018161082449189366589275369628399756097800663777004104410065744398765584009826174490940397077224371593125811837460616398622777377839203713153375978118224387941100301025529524309531641848803330403157870656666516661872973347045515843166890661468318287605677006204349312934262271135871054419666005936130372038660701116598711366321771522901863769543413205627941768940418171874900536757762248455965070126939272786921496872713388163524507800960992452899880474882400239318123137683854653437568251589872472989933706618972779610112620784063860359081455626168910796253045527992250410133744088669446627502883722482531474286854174903525267881345998204355594672212272785393744618152920550326971270270066245867513398509760447270040615330705096192870777181029513366342023978185318355982408130550823686837997787806175799567728404247545219966971934937992966543796778525437516836122655550000719261239730250933106569711858109639996494863453151036031133114294896993206691515708586976417063358997075785661469288074224303461283318100798138034837994207071023210571119223130155194893631386215506543664225897962276812384165119408524975309768326824008011253955821280715777158163137986949178595787713061450513708475487420279048243896338023450615842444407585387399824898538240504816243689057752540140523700285466106199868939995549095849641273739277105334727383809093037655691944168358016929246103460082197651191039907654583806351942764672262678541980400525486660378978498274290928549350251984544605534641984681088823174513848831464627518266120385015064943284713592674982626518740501043763595494713868788897408799099514342443646736914226717886354926854907499318465111491302359971651647088395063338558164685242949618269671658834687099924413055635196987344120734037627027726093963089567068330265161227509685450749243186729366508185365579514583250081067938082723588914854833640868502475713550195524356323486013830980243911182989039605825455555602741087414935866636742469498738304960196384038196029282486024678675359198332355309521419592996307581481222772803668926028659428338278227449835236791710969065476924980828878443398515253128540540113190903723886143989558671877697833343910668425274875234174745271279415112215853567478466745959726379381390328162673852112764717587091324111228338777647933367802466114482805579662601320042966997567519591025404484939095526862660780170993339624203106540169031073569698607027710041974398416132356256301715271473915882324220375105722281255497605495797571519843308137491805041816185583661009452110727944912785167967628924676241628659007431072944785700698979386644926101788370841052963838024951652329241223053850006719808253317754998858812873905308353599300804525061500176129150863223264172611816226654397523418277507423792866837223636047363562299324246818051492620200753977458936696240406474375776592432077539457319746348666412144070776936364857638315522045032579469388993442433116457535212701401426704752381324962773532458663337525001181993151210983707539563297283541154489258529674036166400767257208886542784681016200413951873478235846196631638818628737662813210426199093973654414439106070084903481215620412051235603162744699118988014158378001968823788522015275486784333044606017092163591415296160404864482051956240547880276203578462303113204317062447452364275856851679204072504087465210082172876191636783959908562070392835205631270462148438800097048274269041759937127678628314631923919440828768903039050727807215951535053828928755353817126540785343786845190597031653565703663374291188621742464091777734713934140909999568733501302173967077150121518499879829098091846075050611177616194694417898343436341525091651548901738526771558844566144990559140328753193095691422112354223505229886400134302397264189529065784530604542670426882303826776723761198680739403756506235582181691577388769514675456798290139030351766865830947882692486125766517759132268347821927377878729058450376009168345366783602490341895170208723}
30760 2878601872885021833792520168509468035754241621172236189560039252085531956441505208219812: {92271,1443511,1627471,1905074,2178919,2546191,2729719,3564332,3745034,5109031,5282636,5948234,6509036,6681482,7244492,7657759,7780274,8020711,8202079,8224652,8926831,9469639,9693932,10073864,11068874,11333097,11545832,12162482,12712879,12989061,13117772,13850636,13982282,14146831,14709194,14841141,14862079,16823071,17000911,17668025,18066439,19265829,19306279,19483111,19946636,20142674,20365544,20372001,21071359,21201630,21893132,22306994,22615072,22911237,23864001,24080492,24323372,25103719,25441956,26323399,26497351,26620082,27720332,27728421,28059679,28409525,28606837,28729745,28925119,29174252,29483954,30198482,30303861,30306079,32078636,32368879,32540311,33010025,33050834,34091430,34165761,34473554,34475694,34828874,35103151,35273431,36076025,36123751,36293599,36350041,36364192,37132017,37141759,37312082,37391372,37649791,38495071,39312609,39612030,39788234,40012039,40348351,40673525,40866910,40897637,40909716,41858191,42025591,42252832,42929036,43291230,43567557,44064545,44310201,44611052,45358471,45524359,46123082,46177312,46800725,46848871,47014111,47027841,47251052,47352705,47534436,47674351,48157832,48574034,48808230,49040292,49094097,49319911,49647692,50101305,50303791,50509552,50883189,51191182,51928630,51949476,52062112,52365665,52411274,52426639,52519436,52877454,53441392,53714636,54149714,54177561,54259269,54431372,54537319,54860959,55985525,56102636,56160870,56267601,56823246,57305409,57894005,57936561,58381300,58569876,58964012,59201911,59343434,59904928,60121566,60159439,60478039,60575225,60869036,60955399,61273279,61515454,61590871,62314356,62488745,62701832,62838798,62949350,63174511,63372785,63963631,64153064,64504754,64593631,64691221,65006529,65379511,65673717,66217994,66789559,66902282,66945871,67107905,67182630,67318521,67393044,68220725,68349439,68582129,68705612,68854821,69126679,69235265,69292754,69472806,70056991,70057560,70539561,70836812,71447599,71661472,71738889,71909839,72172197,72678799,72690270,72695474,72701601,73130260,73445959,74383052,74619212,74728064,74822311,74986494,75539220,76047342,76232345,76496599,76800079,77388725,77450636,77536288,77708791,77772554,77922092,78369441,78629036,78765679,78814755,79335692,79351745,79368031,80159001,80529486,80575168,80619156,80912945,81018559,81864870,81970025,82213471,82511479,82789809,83082318,83552239,83848951,84061481,84069072,84597785,84826034,85213292,86162354,86549525,87163082,87228324,87320337,87322528,87324332,87756312,87879220,88411159,88468305,88703119,89198636,89431759,90489482,90532550,90647064,91173151,91200705,91317799,91478814,91484594,92147282,92416030,92707436,92866470,93306094,94366192,94462154,94481839,94577706,94792274,95222094,95509292,96440714,96908492,97095534,97280752,97327999,97974470,98107449,98176231,98237844,98364030,98725851,98742482,99057568,99237932,99249657,...,111985908419578588690924406408733667541556827958987734322719036276873660613101828379515881352290514727469324920791931432107025987979379625985722128215092666942808400181626519489477894030653335486366129029911137054412138599093934533159030468471419308940850214715710215143302148064690583371570179252646600814995743889867898192753158415335548241803954289183591396045619611024179659190854866005669664388188034447076509841946904252999952697419099116020331087181943130337080558604135707693120271770244571497849833575761850002679617090763821860586618631557716666880757090023020874579735345655469795454021293642289441328956085948877293113994113550563176929344631672984718066626621689407662745012485032442755646272516808419694159735109509502299577517998057316983216660677093832531068577473987526978369227769815768730501483521328451010069731357114632967591358097771005737487823618392484675319371786075006136647662341737899006169062961658556395503076138494143010259492952403690807079292950724024214776598919155452367159504533008130400885036005472546754325865020778679768232654587196102965828790834415783280821864830369837118938284204501304157632517254800401367372699079375522465071107204210494208888688882497297796060687790889187548624424383474236008272465750579016361514494739226221341248173829384880934822131615155095695363869151692724550940837255691920557562499867382343682997941286760169252363715895329163617850884699343734614656603866507299843200319090830850245139537916757668786496630653244942158630372813483494378751813812108607501558547728337394037323000546844992118225928836670511629976708632382472233204700357175127997605807459562949697047191659490870560733769295027026754994490017864679680596360054153774273461590494369574706017821789365304247091141309877507401098249117330383741567732756971205663393626622629246583990622058395704700583355781496874066667625681652973667910808759615810812853328659817937534714708177485726529324275588687611449301889417811996101047548625717432299071281711090801064184046450658942761364280761492297506873593191508514954008724885634530616369083178886825878033300413024435765344015005274428374287702877550850649265571461050284081934018277967316560372064325195117364600821123259210113849866433198050987339754991585410336720187364933713954808266491919994065461132855031652369473779636511745457383540922592224477355905661471280109596868254719876872778408469257019563016904722640534033982213838637997699054571399133669312726140712855979574785097566018465108619503357688160513353419924379618123566643502024987334725018127326285158385196545065466019123258195649218968957181806569139876665757953481988403146628868862784526751118077552913657266157692895545112916133232550740846929316458827645383502703634791950786089424440353548303346247267665657582305822010913820772686111000108090584110298118553139778187824669967618066927365808431314685107973658548243985386141100607407470321449886581155515656625998317739946928512050928039043314699571567145597776473746028559457328410108641630363738225234704879237784370969933113649055614625420635899974438504591198020337504720720150921204965181525319411562503597111125214224567033166978899660361705886816287804756637955661279635172508520437550231802817019623449455098814971118370197244490403288152643740772883468426723955996756692788033872646585460702483547706894657786165604142053558708098092931476036946722632531221509808341735620361965221176432293833474296375007330140661063428693124410849989073389088247444881345936147637259883713557290171899568322171545343241430593047600931972515526568135717827788070618450699935536438988297405133342293077671090339998478417165207077804799067739366748666901505534484297685563482421635539196697891036676565057155782964848063151416399098995757401990160267671969945248928320541965834368789909436719276426328464888549525427702581819810184420696060043439292518657923244155276713616935201902273003175099950364709944884450033334909324201614644943386084396378054872652344706232048221867689676278515390379574688267218602497970981128262175518424838316883750947234932125298205885918808093446537974954160549401647470883659598825317352211170669291765051362687033982379110726141356122884788553728213873152642735941654063840368271437949737484272422749929936485701142468905605430005449953613442897168255515711946544749427190446940841693949531251733462731032358722346582836904837752842565225921105025204052067637076287935380071771905007138422835387713791715793587462708871420938217832388251495656618789036979618578854546666091644668402898622769533495357999839772130789128100067481570154926259223864457915122033455535398535651369028745126088193320745520438337590794255229483138964673639848533512403196352252705421046040806056893902509738435702298348264907652538342008314109575588769851692686233942397720185373802355821107930510256648167688690345509691130429236503838305411267168012224460489044803320455860226944964}
30761 2887432966568792803841742509944065966455076393466382977037555373947742405538647887163634: {123028,2857611,4455415,5346498,5617551,6603295,7773931,7923954,8136295,8814631,8880103,8922351,9055615,9763554,10022223,10102603,10280815,10866738,11670411,12117415,12336978,12500191,12592330,14432290,14524411,14540898,15110796,15179138,15873451,16185751,16366831,16397215,16603311,16922863,17313295,17318748,17819851,17896351,18243723,19314703,19676658,19788188,20592319,20775954,20973423,21399991,21894091,22063791,23538463,24526903,24633631,24933295,25456930,25687772,25821223,26653099,27162668,27366415,27697714,28268840,28314871,28947271,29919954,30017119,30100615,30214011,30283018,30404215,30548316,30903823,31802445,31818668,32494354,32839698,33460491,33922608,34051039,34325954,34650415,34941103,36066811,36120738,36467815,36485058,36971228,38062711,38081791,38162934,38269183,39005719,39834322,39930123,40098295,40405148,40963138,41375179,41580498,42138103,43039831,43168418,43262671,43761378,44195858,44225931,45297723,45455240,45554348,45967592,46739215,46761218,47264011,47917474,48117954,49509356,49576251,50158898,50402311,51137145,51710331,51713541,52243311,52416812,52614031,52816040,52834111,53347303,53661295,54083551,54256999,54546288,54864103,55301578,55728703,55763815,55968123,56087058,56097259,56133931,57721640,58090076,58188031,58842151,58999634,59063815,59080268,59418045,59682351,60145831,60197290,61300365,61364574,61986091,62059615,62703788,62738503,63130999,63136940,63379248,64204459,64393554,64872511,64936845,65077640,65387056,65458796,65649295,66208351,66349618,66801740,66916578,67143295,67844252,68039215,69184623,69265968,70128295,70503272,70876578,70881019,71169751,71301654,72236748,72345692,72861051,72976625,72978442,73212345,73560438,73705015,73772143,74039794,74168959,74471538,74881160,75023468,75382891,75764328,75873031,76086295,76376551,76407212,76786773,77248748,77296778,77892945,77924214,78093168,78215071,78377290,78532231,78616911,78779154,79089583,79316181,80162088,80191330,80571954,80879359,81224571,81647058,82061954,82570418,83085808,83257378,83785064,84153954,84241305,85120658,85234869,85882015,86203711,86608783,86675372,86808103,86825258,87564956,87571950,87854814,88446018,88546015,89015151,89219239,89576840,89718199,89758028,89857392,90182349,91303554,91412825,91484491,91806428,92044322,92273181,92630408,92978815,93274015,93410080,93471534,94052748,94179679,94258197,94301098,94424025,94791463,94843771,95311538,95651852,95839423,96229596,96757131,96813295,96920360,96935468,97402615,97755511,98286295,99169615,99205591,99326991,99511711,99981992,...,167978862629367883036386609613100501312335241938481601484078554415310490919652742569273822028435772091203987381187897148160538981969069438978583192322639000414212600272439779234216841045980003229549193544866705581618207898640901799738545702707128963411275322073565322714953222097035875057355268878969901222493615834801847289129737623003322362705931433775387094068429416536269488786282299008504496582282051670614764762920356379499929046128648674030496630772914695505620837906203561539680407655366857246774750363642775004019425636145732790879927947336575000321135635034531311869603018483204693181031940463434161993434128923315939670991170325844765394016947509477077099939932534111494117518727548664133469408775212629541239602664264253449366276997085975474824991015640748796602866210981290467553841654723653095752225281992676515104597035671949451387037146656508606231735427588727012979057679112509204971493512606848509253594442487834593254614207741214515389239428605536210618939426086036322164898378733178550739256799512195601327554008208820131488797531168019652348981880794154448743186251623674921232797245554755678407426306751956236448775882200602051059048619063283697606660806315741313333033323745946694091031686333781322936636575211354012408698625868524542271742108839332011872260744077321402233197422732643543045803727539086826411255883537880836343749801073515524496911930140253878545573842993745426776327049015601921984905799760949764800478636246275367709306875136503179744945979867413237945559220225241568127720718162911252337821592506091055984500820267488177338893255005767444965062948573708349807050535762691996408711189344424545570787489236305841100653942540540132491735026797019520894540081230661410192385741554362059026732684047956370636711964816261101647373675995575612351599135456808495090439933943869875985933087593557050875033672245311100001438522479460501866213139423716219279992989726906302072062266228589793986413383031417173952834126717994151571322938576148448606922566636201596276069675988414142046421142238446260310389787262772431013087328451795924553624768330238817049950619536653648016022507911642561431554316326275973898357191575426122901027416950974840558096487792676046901231684888815170774799649797076481009632487378115505080281047400570932212399737879991098191699282547478554210669454767618186075311383888336716033858492206920164395302382079815309167612703885529344525357083960801050973320757956996548581857098700503969089211069283969362177646349027697662929255036532240770030129886569427185349965253037481002087527190989427737577794817598199028684887293473828453435772709853709814998636930222982604719943303294176790126677116329370485899236539343317669374199848826111270393974688241468075254055452187926179134136660530322455019370901498486373458733016370731159029166500162135876165447177829709667281737004951427100391048712646972027661960487822365978079211650911111205482174829871733273484938997476609920392768076392058564972049357350718396664710619042839185992615162962445545607337852057318856676556454899670473583421938130953849961657756886797030506257081080226381807447772287979117343755395666687821336850549750468349490542558830224431707134956933491919452758762780656325347704225529435174182648222456677555295866735604932228965611159325202640085933995135039182050808969878191053725321560341986679248406213080338062147139397214055420083948796832264712512603430542947831764648440750211444562510995210991595143039686616274983610083632371167322018904221455889825570335935257849352483257318014862145889571401397958773289852203576741682105927676049903304658482446107700013439616506635509997717625747810616707198601609050123000352258301726446528345223632453308795046836555014847585733674447272094727124598648493636102985240401507954917873392480812948751553184864155078914639492697332824288141553872729715276631044090065158938777986884866232915070425402802853409504762649925547064917326675050002363986302421967415079126594567082308978517059348072332801534514417773085569362032400827903746956471692393263277637257475325626420852398187947308828878212140169806962431240824102471206325489398237976028316756003937647577044030550973568666089212034184327182830592320809728964103912481095760552407156924606226408634124894904728551713703358408145008174930420164345752383273567919817124140785670411262540924296877600194096548538083519874255357256629263847838881657537806078101455614431903070107657857510707634253081570687573690381194063307131407326748582377243484928183555469427868281819999137467002604347934154300243036999759658196183692150101222355232389388835796686872683050183303097803477053543117689132289981118280657506386191382844224708447010459772800268604794528379058131569061209085340853764607653553447522397361478807513012471164363383154777539029350913596580278060703533731661895765384972251533035518264536695643854755757458116900752018336690733567204980683790340417446}
30762 2896290996571939667680716410834129754226567680983271240458458567283554340188988956632064: {153785,184542,1811477,2240297,2887022,3096761,3254942,3463337,3810148,4012661,4357838,5092382,5459438,6810197,7113257,7128664,7490068,8019747,8202617,8263061,8927417,9530537,10072661,10218062,10565272,10914677,11335097,11885931,11896468,12773561,13018072,13311797,13362964,13431317,13610537,14488984,14645331,14863061,15220277,15315518,15398777,15560548,15755561,16041422,16300107,16404158,16449304,17853662,17890217,18126761,18505467,18888495,18939278,19366517,19387864,19661177,19837877,20147728,20249897,20779061,21648435,21811347,22011257,22137748,22538261,22666194,22768707,23091664,23181497,24324964,24735235,25425758,25978122,26235544,26325161,26383157,27194261,27701272,27714857,27964564,28293662,29418388,29514987,29682282,29724158,30020777,30365561,30882197,31163931,32109715,32371061,32428217,33455657,33646142,33953335,34001822,34082261,34423637,34935161,35275817,35336050,36132878,36352661,37708757,37990697,38185395,38531658,38612558,38835317,38966222,39773335,39893272,40014761,40221643,40285348,40351097,40731088,40744002,41078837,41546571,41749397,41916857,42142718,42403260,42530261,42753077,43698617,43786264,44198261,44613988,44752661,44879931,45230144,45361577,45424527,45822474,45859061,46190357,46214035,46907177,47728002,48160984,48333571,48646744,48741531,49259547,49378037,50207438,50506435,50525561,50852777,50883912,51488931,51669557,52158761,52646798,52994702,53240164,53784761,54181107,54727587,55440664,55456842,56119358,56156537,56800697,56819050,56942935,57213674,57244401,57459490,57604277,57818261,57850238,58348504,58566197,58967908,59751483,60163637,60396964,60535337,60607722,60612158,61012661,61277561,61330517,61444707,61690363,61886695,62370747,62915477,63178937,63389561,64157272,64650617,64737758,64752627,65080622,65521015,65642067,66020050,66101668,66293787,66324857,66794261,68182860,68331522,68354261,68947108,68951388,69657748,69958697,70141827,70206302,70546862,71760917,71876211,71966261,72152050,72176931,72247502,72587198,72612595,72683957,72700082,72728384,73311931,73850335,74264034,74283518,74624164,74782744,74827637,75238347,75299582,75589817,76046261,76552661,76990142,78318761,78379735,78625218,78771317,78921175,79224060,79373717,79576468,79824761,80024078,80275157,80696702,81051607,81347050,81733820,81771797,81795274,81819432,81823495,82119977,82368437,82517417,82567061,82952367,83261237,83502175,83558261,83716382,83756117,83854997,84051182,84130587,84505664,84792761,84805315,85481897,85858072,85973177,86582460,87135114,87484243,87735161,88129090,88499451,88620402,88709561,88721899,89222104,89486777,90295935,90432115,90716942,90938537,91048718,91372661,92046861,92246164,92354624,93601450,93697742,93779335,93820457,93951067,94028222,94055682,94502104,94536437,94705410,95068872,95203061,95348702,95509015,96315664,96560935,96590331,96929371,97099061,97148068,97382357,97616460,98080584,98188194,98639822,99169877,99295384,99451061,99524427,...,251968293944051824554579914419650751968502862907722402226117831622965736379479113853910733042653658136805981071781845722240808472953604158467874788483958500621318900408659668851325261568970004844323790317300058372427311847961352699607818554060693445116912983110347984072429833145553812586032903318454851833740423752202770933694606434504983544058897150663080641102644124804404233179423448512756744873423077505922147144380534569249893569192973011045744946159372043258431256859305342309520611483050285870162125545464162506029138454218599186319891921004862500481703452551796967804404527724807039771547910695151242990151193384973909506486755488767148091025421264215615649909898801167241176278091322996200204113162818944311859403996396380174049415495628963212237486523461123194904299316471935701330762482085479643628337922989014772656895553507924177080555719984762909347603141383090519468586518668763807457240268910272763880391663731751889881921311611821773083859142908304315928409139129054483247347568099767826108885199268293401991331012313230197233196296752029478523472821191231673114779377435512381849195868332133517611139460127934354673163823300903076588572928594925546409991209473611969999549985618920041136547529500671984404954862817031018613047938802786813407613163258998017808391116115982103349796134098965314568705591308630239616883825306821254515624701610273286745367895210380817818360764490618140164490573523402882977358699641424647200717954369413051563960312704754769617418969801119856918338830337862352191581077244366878506732388759136583976751230401232266008339882508651167447594422860562524710575803644037994613066784016636818356181233854458761650980913810810198737602540195529281341810121845992115288578612331543088540099026071934555955067947224391652471060513993363418527398703185212742635659900915804813978899631390335576312550508367966650002157783719190752799319709135574328919989484590359453108093399342884690979620074547125760929251190076991227356984407864222672910383849954302394414104513982621213069631713357669390465584680894158646519630992677693886830437152495358225574925929304980472024033761867463842147331474489413960847535787363139184351541125426462260837144731689014070351847527333222756162199474695614721514448731067173257620421571100856398318599606819986647287548923821217831316004182151427279112967075832505074050787738310380246592953573119722963751419055828294016788035625941201576459981136935494822872785648050755953633816603925954043266469523541546494393882554798361155045194829854140778024947879556221503131290786484141606366692226397298543027330940210742680153659064780564722497955395334473907079914954941265185190015674494055728848854809014976504061299773239166905590962032362202112881083178281889268701204990795483682529056352247729560188099524556096738543749750243203814248170766744564500922605507427140650586573068970458041492940731733548967118817476366666808223262244807599910227408496214914880589152114588087847458074036026077594997065928564258778988922744443668318411006778085978285014834682349505710375132907196430774942486635330195545759385621620339572711171658431968676015633093500031732005275824625702524235813838245336647560702435400237879179138144170984488021556338294152761273972333685016332943800103407398343448416738987803960128900992702558773076213454817286580587982340512980018872609319620507093220709095821083130125923195248397068768905145814421747646972661125317166843766492816487392714559529924412475415125448556750983028356332183834738355503902886774028724885977022293218834357102096938159934778305365112523158891514074854956987723669161550020159424759953264996576438621715925060797902413575184500528387452589669792517835448679963192570254832522271378600511670908142090686897972740454154477860602261932376810088721219423127329777296232618371959239045999236432212330809094572914946566135097738408166980327299349372605638104204280114257143974888320597375990012575003545979453632951122618689891850623463467775589022108499202301771626659628354043048601241855620434707538589894916455886212988439631278597281920963243317318210254710443646861236153706809488234097356964042475134005906471365566045826460352999133818051276490774245888481214593446155868721643640828610735386909339612951187342357092827570555037612217512262395630246518628574910351879725686211178505616893811386445316400291144822807125279811383035884943895771758322486306709117152183421647854605161486786266061451379622356031360535571791094960697110990122873565865227392275333204141802422729998706200503906521901231450364555499639487294275538225151833532848584083253695030309024575274954646705215580314676533698434971677420986259579287074266337062670515689659200402907191792568587197353591813628011280646911480330171283596042218211269518706746545074732166308544026370394870417091055300597492843648077458377299553277396805043465782133636187175351128027505036100350807471025685510626169}
30763 2905176044581074415735006721705575865891163323866442731410570207028524057585459997650817: {30763,246056,276813,4330533,4762685,4882413,5715222,6237581,6536757,7638573,8189157,8910830,9187373,9244613,9362585,9924821,10692996,11235102,11390813,12677861,13206590,14393141,14772953,14870585,15327093,15547862,15847908,16272590,16703705,16964381,17165213,17629262,17760206,17844702,18089957,18111230,18759533,19450685,19527108,20044446,20205206,20561630,21150233,21587021,21733476,22443893,22956101,22973277,23340822,23917637,24062133,24234830,24238613,24336377,24606237,24673956,25000382,25184660,26128253,26780493,27412421,27601997,27672185,28408917,28864580,29048822,29081796,29112473,30221592,30358276,30359333,30406205,31499117,31746902,32371502,32733662,32794430,32937881,33206622,33845726,33999291,34626590,34637496,34725317,34906613,34955705,35474777,35639702,35792702,36487446,36740957,36772985,38138637,38312981,38629406,38967183,39051821,39353316,39576376,40242137,40908437,41184638,41551908,41946846,42013241,42140861,42440493,42540677,42565901,42624413,42799982,43788182,44127582,44523423,44586237,45005753,47076926,48352397,48510581,49053806,49267262,49866590,50356685,50469213,50540201,50913860,51002733,51054941,51375544,51642446,53004075,53306198,53655893,54199317,54325336,54732830,55395428,55711037,55767485,56137613,56537680,56629742,56721773,56770361,57797487,57894542,57918837,57998861,58449333,58803917,59839908,60034238,60201230,60428022,60566036,60808430,61096632,61116003,61807646,62285021,62440313,63214077,63604890,63637336,64876757,64909337,64988708,65434901,65679396,65764757,66550205,66880517,66920982,67484861,67845216,68102078,68364533,68651908,68733711,68767673,69300830,69882206,71592003,72133622,72241476,72579053,72935630,72970116,73709885,73942456,74887637,75125813,75311157,75496205,75877997,76125422,76163582,76325868,76538366,76667513,76683161,76791917,77786957,78011438,78069341,78246233,78859877,78970197,79492053,79668644,79860246,80196590,80810296,81926276,82627085,82689341,82750358,83160996,83185263,83768477,84179037,84276206,84544037,85228575,85820511,86079662,86181881,86183885,86189235,86336836,86525342,86775357,86883461,87072185,87522756,87771317,88391716,88451862,90595446,90910480,90911583,90918237,91108696,91494797,91732457,91909013,91935184,92435993,93280205,93478430,93522436,93571397,94000613,94104653,94528022,94849997,95254901,95584697,95834948,95905661,96235908,96513701,97020821,97106637,97620933,98179613,99018712,99030075,99088217,99152502,99252677,99470585,...,335957725258735766072773219226201002624670483876963202968157108830620981839305485138547644056871544182407974762375794296321077963938138877957166384645278000828425200544879558468433682091960006459098387089733411163236415797281803599477091405414257926822550644147130645429906444194071750114710537757939802444987231669603694578259475246006644725411862867550774188136858833072538977572564598017008993164564103341229529525840712758999858092257297348060993261545829391011241675812407123079360815310733714493549500727285550008038851272291465581759855894673150000642271270069062623739206036966409386362063880926868323986868257846631879341982340651689530788033895018954154199879865068222988235037455097328266938817550425259082479205328528506898732553994171950949649982031281497593205732421962580935107683309447306191504450563985353030209194071343898902774074293313017212463470855177454025958115358225018409942987025213697018507188884975669186509228415482429030778478857211072421237878852172072644329796757466357101478513599024391202655108016417640262977595062336039304697963761588308897486372503247349842465594491109511356814852613503912472897551764401204102118097238126567395213321612631482626666066647491893388182063372667562645873273150422708024817397251737049084543484217678664023744521488154642804466394845465287086091607455078173652822511767075761672687499602147031048993823860280507757091147685987490853552654098031203843969811599521899529600957272492550735418613750273006359489891959734826475891118440450483136255441436325822504675643185012182111969001640534976354677786510011534889930125897147416699614101071525383992817422378688849091141574978472611682201307885081080264983470053594039041789080162461322820384771483108724118053465368095912741273423929632522203294747351991151224703198270913616990180879867887739751971866175187114101750067344490622200002877044958921003732426278847432438559985979453812604144124532457179587972826766062834347905668253435988303142645877152296897213845133272403192552139351976828284092842284476892520620779574525544862026174656903591849107249536660477634099901239073307296032045015823285122863108632652551947796714383150852245802054833901949681116192975585352093802463369777630341549599299594152962019264974756231010160562094801141864424799475759982196383398565094957108421338909535236372150622767776673432067716984413840328790604764159630618335225407771058689050714167921602101946641515913993097163714197401007938178422138567938724355292698055395325858510073064481540060259773138854370699930506074962004175054381978855475155589635196398057369774586947656906871545419707419629997273860445965209439886606588353580253354232658740971798473078686635338748399697652222540787949376482936150508110904375852358268273321060644910038741802996972746917466032741462318058333000324271752330894355659419334563474009902854200782097425293944055323920975644731956158423301822222410964349659743466546969877994953219840785536152784117129944098714701436793329421238085678371985230325924891091214675704114637713353112909799340947166843876261907699923315513773594061012514162160452763614895544575958234687510791333375642673701099500936698981085117660448863414269913866983838905517525561312650695408451058870348365296444913355110591733471209864457931222318650405280171867990270078364101617939756382107450643120683973358496812426160676124294278794428110840167897593664529425025206861085895663529296881500422889125021990421983190286079373232549967220167264742334644037808442911779651140671870515698704966514636029724291779142802795917546579704407153483364211855352099806609316964892215400026879233013271019995435251495621233414397203218100246000704516603452893056690447264906617590093673110029695171467348894544189454249197296987272205970480803015909835746784961625897503106369728310157829278985394665648576283107745459430553262088180130317877555973769732465830140850805605706819009525299851094129834653350100004727972604843934830158253189134164617957034118696144665603069028835546171138724064801655807493912943384786526555274514950651252841704796375894617657756424280339613924862481648204942412650978796475952056633512007875295154088061101947137332178424068368654365661184641619457928207824962191521104814313849212452817268249789809457103427406716816290016349860840328691504766547135839634248281571340822525081848593755200388193097076167039748510714513258527695677763315075612156202911228863806140215315715021415268506163141375147380762388126614262814653497164754486969856367110938855736563639998274934005208695868308600486073999519316392367384300202444710464778777671593373745366100366606195606954107086235378264579962236561315012772382765688449416894020919545600537209589056758116263138122418170681707529215307106895044794722957615026024942328726766309555078058701827193160556121407067463323791530769944503066071036529073391287709511514916233801504036673381467134409961367580680834892}
30764 2914088192529101121740356654326866424650742281230579203691225107314547425956465710207526: {215299,307570,369084,1136899,1872883,2056699,3158083,3622954,3890899,4480594,5774044,6193522,6446683,6509884,6926674,7620296,8025322,8263603,8572833,8715676,10184764,10253899,10918876,11335843,12055699,13366245,13620394,13850299,14226514,14257328,14980136,15816043,16039494,16350643,16405234,16526122,16852653,17417899,17854834,19013923,19061074,19809885,19898083,20145322,20251243,20436124,21130544,21829354,22539763,22670194,23321793,23771862,23792936,24408885,25547122,26036144,26384923,26443893,26623594,26640309,26725928,26767053,26862634,27166845,27221074,28977968,29290662,29726122,30066669,30307809,30440554,30631036,30797554,30842445,31121096,31480825,31511122,32082844,32430403,32600214,32808316,32898608,33286843,34141483,34629329,35011233,35707324,35780434,36080725,36253522,36352245,36524899,37010934,37500573,37776990,37878556,37947845,38049643,38733034,38775728,38894203,39062899,39322354,39675754,40295456,40499794,40577923,41558122,42588883,43296870,43573233,43622694,44022514,44275496,44953601,45076522,45088003,45332388,45537414,46183328,46362994,46579699,47405899,47534669,47620353,48394963,48557253,48649928,49100493,49191645,49470470,49809933,50529043,50692699,50768589,50851516,51939885,51956244,52471088,52650322,52766314,52976323,53459553,53689053,54388522,54731169,55402544,55429714,55682669,55929128,56214163,56587324,57121493,57340603,57822283,57944109,58836776,58943683,59029974,59364564,59448316,60041554,60731122,61175899,61334803,61764394,61776957,61811083,62327862,62920269,63642325,64182763,64199973,64219430,64699649,64742122,64856434,65126899,65682273,66191373,66911314,67292284,67319803,67475899,67906670,68003644,68164522,68847274,69244285,69808699,69870322,70551634,70615389,70672100,70709009,72265756,72705322,73580709,73900893,74799885,75188899,75341323,75417514,75707545,75950299,75981394,76102363,76370790,77063316,77225116,77463669,77467699,77670634,77932444,78223699,78374683,79546670,79720109,79786544,79959297,80029522,80443286,80570696,80702194,81229699,81235885,81462176,81488004,82099245,82157674,82573003,83093142,83316763,83498794,83833714,84285436,84806520,84944613,84946699,85060522,85506154,85814885,86641373,86841813,87397234,87572528,87741523,88396522,89227976,89505322,89759862,90051357,90301845,90460288,90642033,90723154,90800299,90849054,91212645,91644948,91718122,91729421,92380714,92428070,92711469,93814354,95407335,95456004,95685283,96321968,96667142,97293488,97483062,98519094,98660899,98756074,99505243,99585805,99926443,...,503936587888103649109159828839301503937005725815444804452235663245931472758958227707821466085307316273611962143563691444481616945907208316935749576967917001242637800817319337702650523137940009688647580634600116744854623695922705399215637108121386890233825966220695968144859666291107625172065806636909703667480847504405541867389212869009967088117794301326161282205288249608808466358846897025513489746846155011844294288761069138499787138385946022091489892318744086516862513718610684619041222966100571740324251090928325012058276908437198372639783842009725000963406905103593935608809055449614079543095821390302485980302386769947819012973510977534296182050842528431231299819797602334482352556182645992400408226325637888623718807992792760348098830991257926424474973046922246389808598632943871402661524964170959287256675845978029545313791107015848354161111439969525818695206282766181038937173037337527614914480537820545527760783327463503779763842623223643546167718285816608631856818278258108966494695136199535652217770398536586803982662024626460394466392593504058957046945642382463346229558754871024763698391736664267035222278920255868709346327646601806153177145857189851092819982418947223939999099971237840082273095059001343968809909725634062037226095877605573626815226326517996035616782232231964206699592268197930629137411182617260479233767650613642509031249403220546573490735790420761635636721528981236280328981147046805765954717399282849294401435908738826103127920625409509539234837939602239713836677660675724704383162154488733757013464777518273167953502460802464532016679765017302334895188845721125049421151607288075989226133568033273636712362467708917523301961827621620397475205080391058562683620243691984230577157224663086177080198052143869111910135894448783304942121027986726837054797406370425485271319801831609627957799262780671152625101016735933300004315567438381505598639418271148657839978969180718906216186798685769381959240149094251521858502380153982454713968815728445345820767699908604788828209027965242426139263426715338780931169361788317293039261985355387773660874304990716451149851858609960944048067523734927684294662948978827921695071574726278368703082250852924521674289463378028140703695054666445512324398949391229443028897462134346515240843142201712796637199213639973294575097847642435662632008364302854558225934151665010148101575476620760493185907146239445927502838111656588033576071251882403152919962273870989645745571296101511907267633207851908086532939047083092988787765109596722310090389659708281556049895759112443006262581572968283212733384452794597086054661880421485360307318129561129444995910790668947814159829909882530370380031348988111457697709618029953008122599546478333811181924064724404225762166356563778537402409981590967365058112704495459120376199049112193477087499500486407628496341533489129001845211014854281301173146137940916082985881463467097934237634952733333616446524489615199820454816992429829761178304229176175694916148072052155189994131857128517557977845488887336636822013556171956570029669364699011420750265814392861549884973270660391091518771243240679145422343316863937352031266187000063464010551649251405048471627676490673295121404870800475758358276288341968976043112676588305522547944667370032665887600206814796686896833477975607920257801985405117546152426909634573161175964681025960037745218639241014186441418191642166260251846390496794137537810291628843495293945322250634333687532985632974785429119059848824950830250897113501966056712664367669476711007805773548057449771954044586437668714204193876319869556610730225046317783028149709913975447338323100040318849519906529993152877243431850121595804827150369001056774905179339585035670897359926385140509665044542757201023341816284181373795945480908308955721204523864753620177442438846254659554592465236743918478091998472864424661618189145829893132270195476816333960654598698745211276208408560228514287949776641194751980025150007091958907265902245237379783701246926935551178044216998404603543253319256708086097202483711240869415077179789832911772425976879262557194563841926486634636420509420887293722472307413618976468194713928084950268011812942731132091652920705998267636102552981548491776962429186892311737443287281657221470773818679225902374684714185655141110075224435024524791260493037257149820703759451372422357011233787622772890632800582289645614250559622766071769887791543516644972613418234304366843295709210322973572532122902759244712062721071143582189921394221980245747131730454784550666408283604845459997412401007813043802462900729110999278974588551076450303667065697168166507390060618049150549909293410431160629353067396869943354841972519158574148532674125341031379318400805814383585137174394707183627256022561293822960660342567192084436422539037413493090149464332617088052740789740834182110601194985687296154916754599106554793610086931564267272374350702256055010072200701614942051371021252338}
30765 2923027522595954246528433530242520772837117518784062974636017413132775948045897219728943: {61526,461355,492112,553626,5434431,6667759,6720891,7217555,8137355,8661066,9290283,9525370,9764826,10390011,10894595,11092447,11430444,12037983,12475162,12730955,13073514,13107619,13648595,13851563,15277146,15875519,16378314,17821660,18374746,18489226,18725170,19849642,20430591,20485571,20818819,21339771,21385992,21402779,22470204,22781626,23385187,24059241,24607851,24789183,25084351,25355722,25545155,25824587,26413180,26782251,27230959,28002623,28591611,28786282,29505583,29545906,29741170,30217983,30654186,30781067,31095724,31695816,32545180,32744031,33407410,33928762,34005291,34330426,35209459,35258524,35520412,35657793,35689404,36179914,36222460,37027139,37409891,37519066,38288795,38320683,38741059,38901370,39054216,39935391,40088892,40103555,40293951,40410412,40831611,41010395,41039011,41123260,41829107,42300466,42568687,43174042,43421131,43466952,43935993,44589183,44634155,44887786,45660831,45912202,45946554,46196331,46681644,47266683,47348195,47835274,48124266,48469660,48477226,48672754,48900321,48937987,49212474,49347912,50000764,50085743,50369320,51482179,52256506,52488347,53560986,53670651,54380283,54824842,55203994,55344370,55516401,56486107,56665485,56817834,57729160,58097644,58099551,58163592,58224946,58983531,59114579,59513631,59968351,60443184,60716552,60718666,60749691,60812410,62337183,62998234,63449227,63493804,63564395,64743004,64945305,65434041,65467324,65588860,65875762,66033771,66217019,66413244,66648083,67614783,67691452,67752239,67998582,68306121,69253180,69274992,69385843,69450634,69544491,69813226,69911410,70499359,70734155,70949554,71279404,71585404,72974892,73481914,73545970,74205705,74310395,76008619,76277274,76625962,76672531,77258812,77934366,78074479,78103642,78706632,78975483,79040611,79149471,79152752,80423803,80484274,81582783,81816874,82369276,83103816,83144571,83893692,84026482,84115355,84281722,84880986,85004555,85081354,85131802,85248826,85599964,86215019,87576364,88210463,88255164,88340125,88503571,88544961,89046846,89172474,89587027,90011506,90062331,90332195,91096683,92125459,92646591,93170287,93491793,94153852,96207211,96329145,96531395,96704794,97021162,97113183,97284651,97415555,97804783,98107612,98534524,99218579,99733180,...,755904881832155473663739743258952255905508588723167206678353494868897209138437341561732199127960974410417943215345537166722425418860812475403624365451875501863956701225979006553975784706910014532971370951900175117281935543884058098823455662182080335350738949331043952217289499436661437758098709955364555501221271256608312801083819303514950632176691451989241923307932374413212699538270345538270234620269232517766441433141603707749680707578919033137234838478116129775293770577916026928561834449150857610486376636392487518087415362655797558959675763014587501445110357655390903413213583174421119314643732085453728970453580154921728519460266466301444273076263792646846949729696403501723528834273968988600612339488456832935578211989189140522148246486886889636712459570383369584712897949415807103992287446256438930885013768967044317970686660523772531241667159954288728042809424149271558405759556006291422371720806730818291641174991195255669645763934835465319251577428724912947785227417387163449742042704299303478326655597804880205973993036939690591699588890256088435570418463573695019344338132306537145547587604996400552833418380383803064019491469902709229765718785784776639229973628420835909998649956856760123409642588502015953214864588451093055839143816408360440222839489776994053425173348347946310049388402296895943706116773925890718850651475920463763546874104830819860236103685631142453455082293471854420493471720570208648932076098924273941602153863108239154691880938114264308852256909403359570755016491013587056574743231733100635520197166277409751930253691203696798025019647525953502342783268581687574131727410932113983839200352049910455068543701563376284952942741432430596212807620586587844025430365537976345865735836994629265620297078215803667865203841673174957413181541980090255582196109555638227906979702747414441936698894171006728937651525103899950006473351157572258397959127406722986759968453771078359324280198028654072938860223641377282787753570230973682070953223592668018731151549862907183242313541947863639208895140073008171396754042682475939558892978033081660491311457486074676724777787914941416072101285602391526441994423468241882542607362089417553054623376279386782511434195067042211055542581999668268486598424086844164543346193201519772861264713302569194955798820459959941862646771463653493948012546454281837338901227497515222152363214931140739778860719359168891254257167484882050364106877823604729379943410806484468618356944152267860901449811777862129799408570624639483181647664395083465135584489562422334074843638668664509393872359452424819100076679191895629081992820632228040460977194341694167493866186003421721239744864823795555570047023482167186546564427044929512183899319717500716772886097086606338643249534845667806103614972386451047587169056743188680564298573668290215631249250729611442744512300233693502767816522281421951759719206911374124478822195200646901356452429100000424669786734422799730682225488644744641767456343764263542374222108078232784991197785692776336966768233331004955233020334257934855044504047048517131125398721589292324827459905990586637278156864861018718133514975295906028046899280500095196015827473877107572707441514736009942682107306200713637537414432512953464064669014882458283821917001055048998831400310222195030345250216963411880386702978107676319228640364451859741763947021538940056617827958861521279662127287463249390377769585745191206306715437443265242940917983375951500531299478449462178143678589773237426245376345670252949085068996551504215066511708660322086174657931066879656503071306290814479804334916095337569476674542224564870963171007484650060478274279859794989729315865147775182393707240725553501585162357769009377553506346039889577710764497566814135801535012724426272060693918221362463433581806785797130430266163658269381989331888697855115877717137997709296636992427283718744839698405293215224500940981898048117816914312612840342771431924664961792127970037725010637938360898853367856069675551870390403326767066325497606905314879978885062129145803725566861304122615769684749367658638965318893835791845762889729951954630764131330940583708461120428464702292070892127425402017719414096698137479381058997401454153829472322737665443643780338467606164930922485832206160728018838853562027071278482711665112836652536787186890739555885724731055639177058633535516850681434159335949200873434468421375839434149107654831687315274967458920127351456550264943563815484460358798184354138867068094081606715373284882091332970368620697595682176825999612425407268189996118601511719565703694351093666498918461882826614675455500598545752249761085090927073725824863940115646740944029601095304915032262958778737861222799011188011547068977601208721575377705761592060775440884033841940734440990513850788126654633808556120239635224196498925632079111184611251273165901792478530944232375131898659832190415130397346400908561526053384082515108301052422413077056531878507}
30766 2931994117209339142219585065807434294437242010413225874220117424745247550561842484215452: {92289,430598,615140,738168,830439,1627789,1811713,2273798,2730253,3745766,4113398,5292589,6316166,6932353,7245908,7781798,7840813,8203693,8961188,9652333,11548088,12387044,12715393,12893366,12991599,13019768,13433089,13853348,14288055,14647239,15240592,16050644,16527206,17004289,17145666,17182093,17431352,18712743,19486993,19610271,19663789,20369528,20370253,20507798,21603793,21837752,22277075,22671686,22915719,24111398,24567471,25108753,26502673,26732490,27240788,27562119,27700598,27718573,27733839,28087755,28238593,28453028,28514656,29103853,29774463,29960272,30139789,31173133,31632086,32078988,32546893,32701286,32718289,32810468,33016475,33052244,33705306,34172439,34835798,35280589,35709668,36300973,37826689,38027846,38033583,38122148,38869655,39619770,39796166,40188433,40290644,40502486,40681475,40872248,41866753,42034189,42201553,42261088,43179423,43658708,44073155,44318859,44400515,44537089,44611755,45079526,45278075,45340388,45533713,45981279,46643586,47023789,47188993,47543724,47585872,47684173,48817770,50111115,50314189,50513015,50893143,51094244,51404075,51495639,51785473,52072288,52769846,52887786,53126983,53247188,53280618,53451856,53534106,53725268,54269871,54333690,54442148,55034113,56164333,56278599,56808589,57955936,58352055,58581324,59214289,59374093,59452244,60133338,60587075,60615618,60881108,61262072,61595108,61684890,62242192,62500955,62961650,63022244,63029713,63205439,63450699,64165688,64607233,64761063,64764589,64860806,65200428,65616632,65797216,66334189,66573686,66960013,67331679,67507219,68282966,68519533,68868303,68919831,69258658,69296593,69606913,70022466,70071853,71414648,71560868,71752911,72161450,72186399,72507044,72622055,72704490,72715839,73009131,73049798,73818711,74021868,74685613,75001146,75553980,75757112,75895690,76099286,77466068,77551456,77788406,78125798,78384759,78644708,78782593,79351508,79367255,80341479,80590912,80928755,80999588,81155846,81783553,81834155,81986075,82231213,82237263,82380289,82805991,83016555,83116244,83273233,83867089,84614315,85177766,85226751,86230993,86566475,86593740,87146466,87245388,87337419,88045028,88550992,89099255,89481755,89596813,89907202,90153044,90176006,90664776,91074828,91077999,91218615,91337773,92060113,92366656,92725988,93159398,94497351,94645633,94811798,95069338,95240706,96071953,96573515,96789926,96941999,97114506,97299856,98200986,98339089,98383290,98813643,98940940,99184513,99619866,...,1007873175776207298218319657678603007874011451630889608904471326491862945517916455415642932170614632547223924287127382888963233891814416633871499153935834002485275601634638675405301046275880019377295161269200233489709247391845410798431274216242773780467651932441391936289719332582215250344131613273819407334961695008811083734778425738019934176235588602652322564410576499217616932717693794051026979493692310023688588577522138276999574276771892044182979784637488173033725027437221369238082445932201143480648502181856650024116553816874396745279567684019450001926813810207187871217618110899228159086191642780604971960604773539895638025947021955068592364101685056862462599639595204668964705112365291984800816452651275777247437615985585520696197661982515852848949946093844492779617197265887742805323049928341918574513351691956059090627582214031696708322222879939051637390412565532362077874346074675055229828961075641091055521566654927007559527685246447287092335436571633217263713636556516217932989390272399071304435540797073173607965324049252920788932785187008117914093891284764926692459117509742049527396783473328534070444557840511737418692655293203612306354291714379702185639964837894447879998199942475680164546190118002687937619819451268124074452191755211147253630452653035992071233564464463928413399184536395861258274822365234520958467535301227285018062498806441093146981471580841523271273443057962472560657962294093611531909434798565698588802871817477652206255841250819019078469675879204479427673355321351449408766324308977467514026929555036546335907004921604929064033359530034604669790377691442250098842303214576151978452267136066547273424724935417835046603923655243240794950410160782117125367240487383968461154314449326172354160396104287738223820271788897566609884242055973453674109594812740850970542639603663219255915598525561342305250202033471866600008631134876763011197278836542297315679957938361437812432373597371538763918480298188503043717004760307964909427937631456890691641535399817209577656418055930484852278526853430677561862338723576634586078523970710775547321748609981432902299703717219921888096135047469855368589325897957655843390143149452556737406164501705849043348578926756056281407390109332891024648797898782458886057794924268693030481686284403425593274398427279946589150195695284871325264016728605709116451868303330020296203150953241520986371814292478891855005676223313176067152142503764806305839924547741979291491142592203023814535266415703816173065878094166185977575530219193444620180779319416563112099791518224886012525163145936566425466768905589194172109323760842970720614636259122258889991821581337895628319659819765060740760062697976222915395419236059906016245199092956667622363848129448808451524332713127557074804819963181934730116225408990918240752398098224386954174999000972815256992683066978258003690422029708562602346292275881832165971762926934195868475269905466667232893048979230399640909633984859659522356608458352351389832296144104310379988263714257035115955690977774673273644027112343913140059338729398022841500531628785723099769946541320782183037542486481358290844686633727874704062532374000126928021103298502810096943255352981346590242809741600951516716552576683937952086225353176611045095889334740065331775200413629593373793666955951215840515603970810235092304853819269146322351929362051920075490437278482028372882836383284332520503692780993588275075620583257686990587890644501268667375065971265949570858238119697649901660501794227003932113425328735338953422015611547096114899543908089172875337428408387752639739113221460450092635566056299419827950894676646200080637699039813059986305754486863700243191609654300738002113549810358679170071341794719852770281019330089085514402046683632568362747591890961816617911442409047729507240354884877692509319109184930473487836956183996945728849323236378291659786264540390953632667921309197397490422552416817120457028575899553282389503960050300014183917814531804490474759567402493853871102356088433996809207086506638513416172194404967422481738830154359579665823544851953758525114389127683852973269272841018841774587444944614827237952936389427856169900536023625885462264183305841411996535272205105963096983553924858373784623474886574563314442941547637358451804749369428371310282220150448870049049582520986074514299641407518902744844714022467575245545781265601164579291228501119245532143539775583087033289945226836468608733686591418420645947145064245805518489424125442142287164379842788443960491494263460909569101332816567209690919994824802015626087604925801458221998557949177102152900607334131394336333014780121236098301099818586820862321258706134793739886709683945038317148297065348250682062758636801611628767170274348789414367254512045122587645921320685134384168872845078074826986180298928665234176105481579481668364221202389971374592309833509198213109587220173863128534544748701404512110020144401403229884102742042504676}
30767 2940988059045474763342679880739026117464916106237829797470059634208306037634012703022690: {123052,645897,768925,922710,984224,1107252,3410697,5618649,6170097,9057385,9474249,9801913,10104577,10868862,11201485,11392297,11672697,12014257,13335518,13441782,14435110,14527249,15252433,15483805,16274710,16370029,17316685,17322132,17823337,17899849,18580566,18761977,19050740,19108033,19318477,19340049,19529652,19922353,20063305,20780022,21789190,21898369,22184894,22446817,22617793,22860888,23920753,24075966,24531697,24790809,24950324,25461910,25718499,26131657,26147028,26215238,26658313,27297190,27605593,27657997,27703126,28952929,30554292,30761697,31751038,31824493,32756628,33094009,33183457,34007529,34050985,34402369,35566285,35643320,35763217,36073873,36167097,36498733,36749492,36978452,37450340,38070157,38089249,39699284,40098735,40861182,40971142,41013085,41191153,41315305,41383273,41550897,41637638,42679542,42771984,42805558,44637085,44713873,44940408,45563252,46390093,46555213,46770374,47273257,47448129,47652685,48118482,49051929,49215702,49578366,50168702,50363305,50557959,50711444,51090310,51496609,51649174,52253697,52624333,52826360,53564502,53604313,54267613,54461918,54573385,54853249,55739617,56005246,56108233,56144977,56675485,57041769,57183222,57414553,57572564,58531849,58853677,59011166,59091812,59429655,59482340,59593753,59694249,60157597,60206113,60435966,60753729,61308372,61562134,61998217,62191448,62487817,63391632,63867805,65090360,65488062,66221353,66287473,66558985,66814820,66889273,66954793,67156585,67619289,67857524,68010582,68052685,68660852,69899209,69965379,70418918,70517048,71040824,71183689,71315586,71378808,72359828,72444920,73226655,74054278,74315305,74819782,75038132,75397657,76101385,76230913,76577590,76641366,76993885,77482118,77802740,78108432,78256477,78777805,79105069,79154769,79331679,79609969,79870782,79920927,80177784,80207110,80229193,80301159,80587902,80820824,81500535,81652717,81663222,82020790,82078022,82246520,83658214,84600932,85022953,85137374,86126749,86348084,86842262,86933904,87871986,88216249,88990153,89178366,89268310,89451085,89735773,89775572,89926957,90200007,90633805,90923427,91321662,91824404,91893108,92392662,92527335,93363288,94442475,94533366,94696390,95047993,95670548,96248532,96832585,96939320,96954452,97291209,97345508,97800642,97875974,98305885,98424948,98695824,99027817,99189385,99225073,99860529,...,1511809763664310947327479486517904511811017177446334413356706989737794418276874683123464398255921948820835886430691074333444850837721624950807248730903751003727913402451958013107951569413820029065942741903800350234563871087768116197646911324364160670701477898662087904434578998873322875516197419910729111002442542513216625602167638607029901264353382903978483846615864748826425399076540691076540469240538465035532882866283207415499361415157838066274469676956232259550587541155832053857123668898301715220972753272784975036174830725311595117919351526029175002890220715310781806826427166348842238629287464170907457940907160309843457038920532932602888546152527585293693899459392807003447057668547937977201224678976913665871156423978378281044296492973773779273424919140766739169425795898831614207984574892512877861770027537934088635941373321047545062483334319908577456085618848298543116811519112012582844743441613461636583282349982390511339291527869670930638503154857449825895570454834774326899484085408598606956653311195609760411947986073879381183399177780512176871140836927147390038688676264613074291095175209992801105666836760767606128038982939805418459531437571569553278459947256841671819997299913713520246819285177004031906429729176902186111678287632816720880445678979553988106850346696695892620098776804593791887412233547851781437701302951840927527093748209661639720472207371262284906910164586943708840986943441140417297864152197848547883204307726216478309383761876228528617704513818806719141510032982027174113149486463466201271040394332554819503860507382407393596050039295051907004685566537163375148263454821864227967678400704099820910137087403126752569905885482864861192425615241173175688050860731075952691731471673989258531240594156431607335730407683346349914826363083960180511164392219111276455813959405494828883873397788342013457875303050207799900012946702315144516795918254813445973519936907542156718648560396057308145877720447282754565575507140461947364141906447185336037462303099725814366484627083895727278417790280146016342793508085364951879117785956066163320982622914972149353449555575829882832144202571204783052883988846936483765085214724178835106109246752558773565022868390134084422111085163999336536973196848173688329086692386403039545722529426605138389911597640919919883725293542927306987896025092908563674677802454995030444304726429862281479557721438718337782508514334969764100728213755647209458759886821612968937236713888304535721802899623555724259598817141249278966363295328790166930271168979124844668149687277337329018787744718904849638200153358383791258163985641264456080921954388683388334987732372006843442479489729647591111140094046964334373093128854089859024367798639435001433545772194173212677286499069691335612207229944772902095174338113486377361128597147336580431262498501459222885489024600467387005535633044562843903519438413822748248957644390401293802712904858200000849339573468845599461364450977289489283534912687528527084748444216156465569982395571385552673933536466662009910466040668515869710089008094097034262250797443178584649654919811981173274556313729722037436267029950591812056093798561000190392031654947754215145414883029472019885364214612401427275074828865025906928129338029764916567643834002110097997662800620444390060690500433926823760773405956215352638457280728903719483527894043077880113235655917723042559324254574926498780755539171490382412613430874886530485881835966751903001062598956898924356287357179546474852490752691340505898170137993103008430133023417320644172349315862133759313006142612581628959608669832190675138953349084449129741926342014969300120956548559719589979458631730295550364787414481451107003170324715538018755107012692079779155421528995133628271603070025448852544121387836442724926867163613571594260860532327316538763978663777395710231755434275995418593273984854567437489679396810586430449001881963796096235633828625225680685542863849329923584255940075450021275876721797706735712139351103740780806653534132650995213810629759957770124258291607451133722608245231539369498735317277930637787671583691525779459903909261528262661881167416922240856929404584141784254850804035438828193396274958762117994802908307658944645475330887287560676935212329861844971664412321456037677707124054142556965423330225673305073574373781479111771449462111278354117267071033701362868318671898401746868936842751678868298215309663374630549934917840254702913100529887127630968920717596368708277734136188163213430746569764182665940737241395191364353651999224850814536379992237203023439131407388702187332997836923765653229350911001197091504499522170181854147451649727880231293481888059202190609830064525917557475722445598022376023094137955202417443150755411523184121550881768067683881468881981027701576253309267617112240479270448392997851264158222369222502546331803584957061888464750263797319664380830260794692801817123052106768165030216602104844826154113063757014}
30768 2950009431029838591421313906109102964159320010975224779762553846483955122948059540149428: {153815,184578,338327,861196,1230280,1259807,1384065,1476336,1660878,1873127,2179487,2424431,2975087,3255578,3280727,3623426,4013447,4196447,4547596,5460506,5840207,6447527,6993431,7296431,7491532,7659767,8226796,8264687,8446007,10255247,10585178,11517431,12177167,12632332,12776087,13613231,13864706,13971527,14491816,15104231,15401831,15563596,15681626,16303293,16407386,16827527,17242487,17716247,17922376,18071231,18307727,19016447,19304666,19841831,20003277,20162673,20371607,21311831,21652665,22191431,22718327,23096176,23813425,24236831,24412065,24586487,24774088,25430786,25786732,25983198,26039536,26504447,26866178,27706696,27870849,28576110,29294478,30026831,30481184,31170033,31187905,31232567,32101288,32549087,32683785,33054412,33277341,34008578,34291332,34364186,34862704,34942247,35112647,35509967,36113949,36360047,36529847,37425486,38192865,38973986,39220542,39322857,39327578,40191167,40583447,40739056,40740506,40945785,41015596,41554689,41925431,43095887,43207586,43374047,43675504,43874231,44554150,45343372,45536831,45757967,45831438,45936865,46223065,46696367,46812925,47247287,47626557,47687447,48222796,48511367,49134942,49624105,49661831,50217506,50536007,50699687,51026831,51843431,53005346,53417087,53464980,53958167,54417517,54481576,54552431,54876167,55124238,55401196,55437146,55467678,55684247,56175510,56221967,56477186,56906056,56954065,56973431,57029312,57455687,57990767,58207706,58578431,59548926,59697647,59920544,60176231,60279578,60494927,61184447,61290407,61291773,61456713,61702417,61819727,62160721,62346266,62456457,63264172,63389305,63402887,64019313,64157976,64191767,64208337,64664231,65093786,65402572,65436578,65620936,66032950,66104488,66495431,66964727,67410612,67589447,68344878,68524367,69611831,69671596,70155561,70561178,70641373,70718221,71419336,71673431,71930231,71965705,72135527,72177723,72601946,73671167,73823553,73864765,74352925,74367549,74690927,74697337,74741831,75047087,75253053,75453647,75653378,75758231,76055692,76062527,76067166,76244296,76635465,76822007,77024231,77473761,77478767,77739310,78335567,79239540,79591367,79592332,80346753,80376866,80581288,81004972,81241367,81362950,81692877,81744496,82535231,83328767,83518525,83733506,83774231,84007869,84068378,84403106,84522176,84821905,84958967,85254431,85774833,85826065,86286287,86358846,86678447,87317416,87501337,87900647,88146310,88516749,88631567,88637718,88801030,88923431,89074178,89223510,89651831,90159052,90449785,90556150,90653949,90680776,91067426,91103231,91392647,91962558,92066831,92114927,92343201,92355287,93218927,93287172,93797665,94047578,94377986,94700231,95087448,95171744,95224007,95368346,96079007,96126431,96789527,97120487,97253425,97635540,98232093,99191831,99613607,99941207,...,2267714645496466420991219229776856767716525766169501620035060484606691627415312024685196597383882923231253829646036611500167276256582437426210873096355626505591870103677937019661927354120730043598914112855700525351845806631652174296470366986546241006052216847993131856651868498309984313274296129866093666503663813769824938403251457910544851896530074355967725769923797123239638098614811036614810703860807697553299324299424811123249042122736757099411704515434348389325881311733748080785685503347452572831459129909177462554262246087967392676879027289043762504335331072966172710239640749523263357943931196256361186911360740464765185558380799398904332819228791377940540849189089210505170586502821906965801837018465370498806734635967567421566444739460660668910137378711150108754138693848247421311976862338769316792655041306901132953912059981571317593725001479862866184128428272447814675217278668018874267115162420192454874923524973585767008937291804506395957754732286174738843355682252161490349226128112897910434979966793414640617921979110819071775098766670768265306711255390721085058033014396919611436642762814989201658500255141151409192058474409708127689297156357354329917689920885262507729995949870570280370228927765506047859644593765353279167517431449225081320668518469330982160275520045043838930148165206890687831118350321777672156551954427761391290640622314492459580708311056893427360365246880415563261480415161710625946796228296772821824806461589324717464075642814342792926556770728210078712265049473040761169724229695199301906560591498832229255790761073611090394075058942577860507028349805745062722395182232796341951517601056149731365205631104690128854858828224297291788638422861759763532076291096613929037597207510983887796860891234647411003595611525019524872239544625940270766746588328666914683720939108242243325810096682513020186812954575311699850019420053472716775193877382220168960279905361313235077972840594085962218816580670924131848363260710692921046212859670778004056193454649588721549726940625843590917626685420219024514190262128047427818676678934099244981473934372458224030174333363744824248216303856807174579325983270404725647627822086268252659163870128838160347534302585201126633166627745999004805459795272260532493630038579604559318583794139907707584867396461379879825587940314390960481844037639362845512016703682492545666457089644793422219336582158077506673762771502454646151092320633470814188139830232419453405855070832456803582704349435333586389398225711873918449544942993185250395406753468687267002224530916005993528181617078357274457300230037575686887245978461896684121382931583025082502481598558010265163719234594471386666710141070446501559639693281134788536551697959152502150318658291259819015929748604537003418310844917159353142761507170229566041692895721004870646893747752188834328233536900701080508303449566844265855279157620734122373436466585601940704069357287300001274009360203268399192046676465934233925302369031292790627122666324234698354973593357078329010900304699993014865699061002773804565133512141145551393376196164767876974482379717971759911834470594583056154400544925887718084140697841500285588047482421631322718122324544208029828046321918602140912612243297538860392194007044647374851465751003165146996494200930666585091035750650890235641160108934323028957685921093355579225291841064616820169853483876584563838986381862389748171133308757235573618920146312329795728822753950127854501593898435348386534431035769319712278736129037010758847255206989654512645199535125980966258523973793200638969509213918872443439413004748286012708430023626673694612889513022453950181434822839579384969187947595443325547181121722176660504755487073307028132660519038119668733132293492700442407404605038173278816182081754664087390300745420357391391290798490974808145967995666093565347633151413993127889910977281851156234519095215879645673502822945694144353450742937838521028314295773994885376383910113175031913815082696560103568209026655611171209980301198976492820715944639936655186387437411176700583912367847309054248102975916895956681507375537288669189855863892292393992821751125383361285394106876212676382276206053158242290094412438143176992204362461488416968212996330931341015402818494792767457496618482184056516560686081213835448134995338509957610361560672218667657174193166917531175900606550552044302478007847602620303405264127518302447322964495061945824902376760382054369650794830691446453381076394553062416601204282244820146119854646273998911105862092787046530477998837276221804569988355804535158697111083053280999496755385648479844026366501795637256749283255272781221177474591820346940222832088803285914745096788876336213583668397033564034641206932803626164726133117284776182326322652101525822203322971541552364379963901425668360718905672589496776896237333553833753819497705377435592832697125395695979496571245391192039202725684578160152247545324903157267239231169595635521}
30769 2959058316337913779584928615292395898714964536710160020150066575151074206458492025065643: {246104,276867,1076495,1291794,1537850,1845420,1968448,2214504,2491317,4883367,5435139,5684495,6821394,8190759,9364415,10283495,10477907,11237298,11584079,12340194,12680339,13427699,15682079,15790415,15877767,17168567,18114770,18948498,19454495,19603826,20209154,20597687,20797059,21154367,21591239,21677327,21737724,22402970,22784594,23345394,23522439,23544599,24028514,24243359,24611079,25087619,26671036,26730119,26883564,27417779,28088627,28870220,28956999,29054498,29509427,30365267,30504866,30911879,30967610,31505279,32233415,32549420,32715287,32740058,32944319,34633370,34644264,35568551,35646674,35799698,36748151,37161132,37523954,38101480,38146179,38216066,38279159,38636954,38680098,38974797,39015887,39059304,39844706,40126610,40299267,41318015,41560044,42548999,42632759,42791507,42864165,43578380,43796738,43941717,44369788,44893634,45014567,45235586,45721776,46037171,47671379,47841506,48151932,48826199,49063394,49581618,49792799,49900648,50923820,51012867,51269495,51436998,51546279,51847751,52263314,52294056,52430476,53316626,53666399,54594380,55211186,55315994,55406252,56138229,56679215,56781479,57418319,57841427,57905858,58010207,58460979,58815431,58830813,58991367,60278495,60878807,61108584,61110759,61523394,62297219,62491919,63502076,63648986,63703667,64811379,64826567,65513256,65777639,66188018,66366914,66713759,66831225,66893651,68015058,68101970,68377919,68747157,68804738,69224447,69251495,70244351,70508627,71132570,71152679,71286640,71526434,72147746,72334194,72593267,72997466,73498984,73702413,73956904,74900680,75326259,76140314,76178498,76402739,76806959,76902551,78261599,79050959,79080215,79345679,79398568,79508019,80197470,80546447,80900567,81722364,81753215,81942284,82026170,82382306,82630610,82686357,82766546,83101794,83155719,83201517,83275276,84225767,84263265,84560591,84715779,85359084,85543968,85611116,86198759,87089495,87311559,87905087,89274170,89323389,89414927,89427746,89880816,90091079,90419367,91126504,91258919,91512719,92780186,93110426,93182579,93519399,93540748,94019219,94123079,94546514,94816319,94896258,95069615,95273759,95305370,95924447,96236964,96824591,97640679,98103858,98154867,98431404,99049425,99156732,99272111,99490415,...,3023619527328621894654958973035809023622034354892668826713413979475588836553749366246928796511843897641671772861382148666889701675443249901614497461807502007455826804903916026215903138827640058131885483807600700469127742175536232395293822648728321341402955797324175808869157997746645751032394839821458222004885085026433251204335277214059802528706765807956967693231729497652850798153081382153080938481076930071065765732566414830998722830315676132548939353912464519101175082311664107714247337796603430441945506545569950072349661450623190235838703052058350005780441430621563613652854332697684477258574928341814915881814320619686914077841065865205777092305055170587387798918785614006894115337095875954402449357953827331742312847956756562088592985947547558546849838281533478338851591797663228415969149785025755723540055075868177271882746642095090124966668639817154912171237696597086233623038224025165689486883226923273166564699964781022678583055739341861277006309714899651791140909669548653798968170817197213913306622391219520823895972147758762366798355561024353742281673854294780077377352529226148582190350419985602211333673521535212256077965879610836919062875143139106556919894513683343639994599827427040493638570354008063812859458353804372223356575265633441760891357959107976213700693393391785240197553609187583774824467095703562875402605903681855054187496419323279440944414742524569813820329173887417681973886882280834595728304395697095766408615452432956618767523752457057235409027637613438283020065964054348226298972926932402542080788665109639007721014764814787192100078590103814009371133074326750296526909643728455935356801408199641820274174806253505139811770965729722384851230482346351376101721462151905383462943347978517062481188312863214671460815366692699829652726167920361022328784438222552911627918810989657767746795576684026915750606100415599800025893404630289033591836509626891947039873815084313437297120792114616291755440894565509131151014280923894728283812894370672074924606199451628732969254167791454556835580560292032685587016170729903758235571912132326641965245829944298706899111151659765664288405142409566105767977693872967530170429448357670212218493505117547130045736780268168844222170327998673073946393696347376658173384772806079091445058853210276779823195281839839767450587085854613975792050185817127349355604909990060888609452859724562959115442877436675565017028669939528201456427511294418917519773643225937874473427776609071443605799247111448519197634282498557932726590657580333860542337958249689336299374554674658037575489437809699276400306716767582516327971282528912161843908777366776669975464744013686884958979459295182222280188093928668746186257708179718048735597278870002867091544388346425354572998139382671224414459889545804190348676226972754722257194294673160862524997002918445770978049200934774011071266089125687807038876827645496497915288780802587605425809716400001698679146937691198922728901954578978567069825375057054169496888432312931139964791142771105347867072933324019820932081337031739420178016188194068524501594886357169299309839623962346549112627459444074872534059901183624112187597122000380784063309895508430290829766058944039770728429224802854550149657730051813856258676059529833135287668004220195995325601240888780121381000867853647521546811912430705276914561457807438967055788086155760226471311835446085118648509149852997561511078342980764825226861749773060971763671933503806002125197913797848712574714359092949704981505382681011796340275986206016860266046834641288344698631724267518626012285225163257919217339664381350277906698168898259483852684029938600241913097119439179958917263460591100729574828962902214006340649431076037510214025384159558310843057990267256543206140050897705088242775672885449853734327227143188521721064654633077527957327554791420463510868551990837186547969709134874979358793621172860898003763927592192471267657250451361371085727698659847168511880150900042551753443595413471424278702207481561613307068265301990427621259519915540248516583214902267445216490463078738997470634555861275575343167383051558919807818523056525323762334833844481713858809168283568509701608070877656386792549917524235989605816615317889290950661774575121353870424659723689943328824642912075355414248108285113930846660451346610147148747562958223542898924222556708234534142067402725736637343796803493737873685503357736596430619326749261099869835680509405826201059774255261937841435192737416555468272376326426861493139528365331881474482790382728707303998449701629072759984474406046878262814777404374665995673847531306458701822002394183008999044340363708294903299455760462586963776118404381219660129051835114951444891196044752046188275910404834886301510823046368243101763536135367762937763962055403152506618535234224480958540896785995702528316444738445005092663607169914123776929500527594639328761660521589385603634246104213536330060433204209689652308226127514028}
30770 2968134798395938523782707671496729689568248860677093247095159051722975804864425841941805: {215341,307630,369156,399841,676654,1321261,1722392,1937691,2057101,2240881,2306775,2460560,2519614,2768130,2952672,3321756,3342049,3746254,3891661,4257709,4358974,4848862,5901361,5950174,6447949,6511156,6561454,7246852,7357489,8026894,8392894,8446561,9095192,10232091,10921012,11157901,11518189,11680414,12895054,13853041,13986862,14032141,14592862,14983064,15105229,15319534,16453592,16529374,16531981,16855947,16892014,18131569,18510291,19017709,19902049,20255281,20510494,21170356,22719841,23034862,23596621,24296749,24354334,24646381,25264664,25519201,25552174,27085741,27172155,27226462,27433069,27729412,27943054,27953521,28422747,28819501,28983632,29405739,30028849,30208462,30313731,30803662,31127192,31363252,32265421,32606586,32814772,33338795,33464689,33604455,33655054,34176891,34484974,34660429,35018091,35432494,35512369,35844752,36042771,36087775,36142462,36615454,38032894,38226481,38609332,39070861,39683662,40006554,40325346,40586209,40686775,40743214,41760781,42623662,42764749,43305330,43432621,43581747,43663067,44382862,45263329,45436654,45757299,46092589,46192352,46451415,46589281,47626850,48473662,48569569,48824130,49110087,49172974,49227361,49548176,50703181,50861572,50866801,51573464,51950055,51966396,52079072,53008894,53470011,53699547,53732356,53799649,54472975,55413392,55462235,55741698,55741921,56285931,57152220,57324099,57513229,57834349,57955431,57994801,58020147,58588956,59755021,59767059,60053662,60189915,60552241,60962368,61347661,62299789,62340066,62375810,62465134,63407329,63654775,64202576,64311611,64712291,65098174,65297761,65367570,65538095,65695107,66108824,66552289,66554682,67340451,67490161,67646221,67853379,68017156,68242975,68582664,68728372,69257815,69473747,69725408,69884494,69978481,70225294,71019934,71762259,71986669,72227898,72720094,73059694,73595091,74372427,74441581,74747149,74850972,75052429,75357421,75509809,76118641,76270669,76385730,77155497,77947972,78391501,78394971,78441084,78645714,78655156,79377595,79597069,79735691,79974939,80382334,80498221,81166894,81478112,81481012,81891570,82031192,82143601,82590829,82816779,82973991,83109378,83485259,83780269,83850862,84225121,85260589,86191774,86415172,86748094,86858787,87351008,87748462,87907021,88278671,88745027,88929889,89108300,90686744,90965041,91073662,91515934,91662876,91688461,91873730,92121649,92285091,92410081,92446130,93392734,93625850,93847921,94494574,95253114,95374894,95421229,95473479,95706349,95848801,96133489,96445592,96843949,97022734,98269884,98823661,99248210,99282027,99323662,99550371,...,4535429290992932841982438459553713535433051532339003240070120969213383254830624049370393194767765846462507659292073223000334552513164874852421746192711253011183740207355874039323854708241460087197828225711401050703691613263304348592940733973092482012104433695986263713303736996619968626548592259732187333007327627539649876806502915821089703793060148711935451539847594246479276197229622073229621407721615395106598648598849622246498084245473514198823409030868696778651762623467496161571371006694905145662918259818354925108524492175934785353758054578087525008670662145932345420479281499046526715887862392512722373822721480929530371116761598797808665638457582755881081698378178421010341173005643813931603674036930740997613469271935134843132889478921321337820274757422300217508277387696494842623953724677538633585310082613802265907824119963142635187450002959725732368256856544895629350434557336037748534230324840384909749847049947171534017874583609012791915509464572349477686711364504322980698452256225795820869959933586829281235843958221638143550197533341536530613422510781442170116066028793839222873285525629978403317000510282302818384116948819416255378594312714708659835379841770525015459991899741140560740457855531012095719289187530706558335034862898450162641337036938661964320551040090087677860296330413781375662236700643555344313103908855522782581281244628984919161416622113786854720730493760831126522960830323421251893592456593545643649612923178649434928151285628685585853113541456420157424530098946081522339448459390398603813121182997664458511581522147222180788150117885155721014056699611490125444790364465592683903035202112299462730411262209380257709717656448594583577276845723519527064152582193227858075194415021967775593721782469294822007191223050039049744479089251880541533493176657333829367441878216484486651620193365026040373625909150623399700038840106945433550387754764440337920559810722626470155945681188171924437633161341848263696726521421385842092425719341556008112386909299177443099453881251687181835253370840438049028380524256094855637353357868198489962947868744916448060348666727489648496432607713614349158651966540809451295255644172536505318327740257676320695068605170402253266333255491998009610919590544521064987260077159209118637167588279815415169734792922759759651175880628781920963688075278725691024033407364985091332914179289586844438673164316155013347525543004909292302184641266941628376279660464838906811710141664913607165408698870667172778796451423747836899089885986370500790813506937374534004449061832011987056363234156714548914600460075151373774491956923793368242765863166050165004963197116020530327438469188942773333420282140893003119279386562269577073103395918305004300637316582519638031859497209074006836621689834318706285523014340459132083385791442009741293787495504377668656467073801402161016606899133688531710558315241468244746872933171203881408138714574600002548018720406536798384093352931868467850604738062585581254245332648469396709947186714156658021800609399986029731398122005547609130267024282291102786752392329535753948964759435943519823668941189166112308801089851775436168281395683000571176094964843262645436244649088416059656092643837204281825224486595077720784388014089294749702931502006330293992988401861333170182071501301780471282320217868646057915371842186711158450583682129233640339706967753169127677972763724779496342266617514471147237840292624659591457645507900255709003187796870696773068862071538639424557472258074021517694510413979309025290399070251961932517047947586401277939018427837744886878826009496572025416860047253347389225779026044907900362869645679158769938375895190886651094362243444353321009510974146614056265321038076239337466264586985400884814809210076346557632364163509328174780601490840714782782581596981949616291935991332187130695266302827986255779821954563702312469038190431759291347005645891388288706901485875677042056628591547989770752767820226350063827630165393120207136418053311222342419960602397952985641431889279873310372774874822353401167824735694618108496205951833791913363014751074577338379711727784584787985643502250766722570788213752425352764552412106316484580188824876286353984408724922976833936425992661862682030805636989585534914993236964368113033121372162427670896269990677019915220723121344437335314348386333835062351801213101104088604956015695205240606810528255036604894645928990123891649804753520764108739301589661382892906762152789106124833202408564489640292239709292547997822211724185574093060955997674552443609139976711609070317394222166106561998993510771296959688052733003591274513498566510545562442354949183640693880445664177606571829490193577752672427167336794067128069282413865607252329452266234569552364652645304203051644406645943083104728759927802851336721437811345178993553792474667107667507638995410754871185665394250791391958993142490782384078405451369156320304495090649806314534478462339191271042}
30771 2977238960881657667197495842417729813524084647744020497135132762929237399229971082504639: {461445,492208,553734,1014981,1507093,2152990,2583588,3075700,3690840,3779421,3936896,4152195,4429008,4982634,5619381,6538461,7273293,7958293,8138945,8925261,9058565,9766734,9842181,10870278,11368990,12040341,12382981,12589341,13110181,13642788,13651265,14396893,15878621,16381518,17520621,17902181,18728830,19342581,20566990,20955814,20980293,21406961,21889293,22106581,22474596,22979301,23168158,23968109,24342721,24534893,24680388,24794061,25338021,25360678,25829633,26462945,26855398,27236293,28008101,28956701,30026909,30765741,31364158,31580830,31755534,34337134,34552293,34661765,35216341,36229540,36531501,37896996,38328261,38663521,38908990,39204065,39207652,40418308,40839693,40919101,41018465,41195374,41594118,41644973,41914581,42024193,42308734,43182478,43276781,43354654,43429633,43475448,44805940,45126781,45312693,45569188,46205493,46690788,47044878,47089198,47168993,48057028,48261665,48486718,48909879,49222158,50095541,50175238,50482581,50571781,51588209,51727461,53148741,53342072,53460238,53767128,54213693,54835558,54923181,56177254,56199341,57049341,57740440,57845221,57913998,58108996,59018854,59525493,59980093,60009831,60488019,60730534,61009732,61114821,61823758,61935220,63010558,63151589,63461653,63576965,63935493,64466830,64957995,65098840,65430574,65480116,65888638,66574293,66661121,67165445,67765493,68154981,69266740,69288528,71137102,71293348,71440275,71599396,71777293,71947681,72710493,73236195,73496302,73759461,74193149,74322264,75047908,75088789,76202960,76292358,76401461,76432132,76558318,77273908,77360196,77949594,78031774,78118608,79056133,79350901,79513341,79689412,80253220,80598534,82636030,82815361,83120088,83612547,84235349,84389893,85021445,85097998,85265518,85583014,85728330,85910465,87156760,87593476,87883434,88227821,88334341,88739576,89787268,90029134,90080493,90222869,90471172,90884833,91443552,92074342,92143501,93510099,93563715,93697701,95342758,95609761,95683012,96303864,96952093,97434965,97647261,97652398,97823941,98051355,98126788,98195141,98318945,99163236,99585598,99801296,99832023,...,6803143936489399262973657689330570303149577298508504860105181453820074882245936074055589792151648769693761488938109834500501828769747312278632619289066879516775610311033811058985782062362190130796742338567101576055537419894956522889411100959638723018156650543979395569955605494929952939822888389598280999510991441309474815209754373731634555689590223067903177309771391369718914295844433109844432111582423092659897972898274433369747126368210271298235113546303045167977643935201244242357056510042357718494377389727532387662786738263902178030637081867131287513005993218898518130718922248569790073831793588769083560734082221394295556675142398196712998457686374133821622547567267631515511759508465720897405511055396111496420203907902702264699334218381982006730412136133450326262416081544742263935930587016307950377965123920703398861736179944713952781175004439588598552385284817343444025651836004056622801345487260577364624770574920757301026811875413519187873264196858524216530067046756484471047678384338693731304939900380243921853765937332457215325296300012304795920133766172163255174099043190758834309928288444967604975500765423454227576175423229124383067891469072062989753069762655787523189987849611710841110686783296518143578933781296059837502552294347675243962005555407992946480826560135131516790444495620672063493355050965333016469655863283284173871921866943477378742124933170680282081095740641246689784441245485131877840388684890318465474419384767974152392226928443028378779670312184630236136795148419122283509172689085597905719681774496496687767372283220833271182225176827733581521085049417235188167185546698389025854552803168449194095616893314070386564576484672891875365915268585279290596228873289841787112791622532951663390582673703942233010786834575058574616718633877820812300239764986000744051162817324726729977430290047539060560438863725935099550058260160418150325581632146660506880839716083939705233918521782257886656449742012772395545089782132078763138638579012334012168580363948766164649180821877530772752880056260657073542570786384142283456030036802297734944421803117374672090523000091234472744648911570421523737977949811214176942883466258804757977491610386514481042602907755603379899499883237997014416379385816781597480890115738813677955751382419723122754602189384139639476763820943172881445532112918088536536050111047477636999371268934380266658009746474232520021288314507363938453276961900412442564419490697258360217565212497370410748113048306000759168194677135621755348634828979555751186220260406061801006673592748017980584544851235071823371900690112727060661737935385690052364148794749075247507444795674030795491157703783414160000130423211339504678919079843404365609655093877457506450955974873779457047789245813611010254932534751478059428284521510688698125078687163014611940681243256566502984700610702103241524910348700532797565837472862202367120309399756805822112208071861900003822028080609805197576140029397802701775907107093878371881367998972704095064920780071234987032700914099979044597097183008321413695400536423436654180128588494303630923447139153915279735503411783749168463201634777663154252422093524500856764142447264893968154366973632624089484138965755806422737836729892616581176582021133942124554397253009495440989482602791999755273107251952670706923480326802969086873057763280066737675875523193850460509560451629753691516959145587169244513399926271706720856760438936989387186468261850383563504781695306045159603293107307959136836208387111032276541765620968963537935598605377942898775571921379601916908527641756617330318239014244858038125290070880021083838668539067361850544304468518738154907563842786329976641543365166529981514266461219921084397981557114359006199396880478101327222213815114519836448546245263992262170902236261072174173872395472924424437903986998280696042899454241979383669732931845553468703557285647638937020508468837082433060352228813515563084942887321984656129151730339525095741445248089680310704627079966833513629940903596929478462147833919809965559162312233530101751737103541927162744308927750687870044522126611866007569567591676877181978465253376150083856182320628638029146828618159474726870283237314429530976613087384465250904638988992794023046208455484378302372489855446552169549682058243641506344404986015529872831084682016656002971522579500752593527701819651656132907434023542807860910215792382554907341968893485185837474707130281146163108952384492074339360143229183659187249803612846734460438359563938821996733317586278361139591433996511828665413709965067413605476091333249159842998490266156945439532079099505386911770247849765818343663532423775461040820668496266409857744235290366629008640751005191100692103923620798410878494178399351854328546978967956304577466609968914624657093139891704277005082156717017768490330688712000661501261458493116132306778498091376187087938489713736173576117608177053734480456742635974709471801717693508786906563}
30772 2986370887725076544476418041061512956307138930560401298641216179481923084542112262117857: {430682,615260,738312,799682,830601,1353308,1812067,2547187,2642522,3097771,3229485,3444784,3844625,3875382,4114202,4481762,4613550,4921120,5039228,5476147,5536260,5905344,6643512,6684098,7115587,7473951,7492508,7783322,8023867,8515418,8567971,8717948,9697724,11638987,11802722,11900348,12895898,13022312,13076971,13122908,13615027,14493704,14510347,14650101,14714978,15225307,16053788,16305417,16785788,16893122,17053485,17185507,18190384,19667707,19844467,20464182,20550787,21079771,21842024,22311547,22315802,22838371,23036378,23360828,24572277,25790108,27706082,27973724,28064282,28093245,28417507,29185724,29282587,29966128,30145867,30210458,30318307,30639068,30662971,30850485,31179427,31433721,32724907,32896267,32907184,33058748,33063962,33711894,33784028,34752237,36263138,37020582,38003587,38035418,38041017,38848507,39804098,40028371,40283097,40364827,40510562,41020988,41372467,42042787,42210187,42340712,45286925,45439682,45874771,46069724,46674313,47046237,47193242,47198707,47371245,47633301,48593498,48708668,49009565,49292762,49668667,50522885,50529328,51038402,51104348,51505701,52448371,52774027,54073771,54171482,54344310,54452924,54866138,54883771,55207267,55458824,55886108,55907042,56007425,56845494,56961485,56981347,57639002,57967264,58363485,58811478,59386507,60057698,60071285,60416924,60503371,60627462,60980947,61298971,61607324,61616707,61793061,62254384,62391177,62726504,63201067,63463101,64530842,64773717,64778227,65031981,65213172,65629544,65721067,66348187,66504787,66677590,66929378,67208910,67310108,68353782,68689627,68969948,69320858,70036182,70567317,70633797,70864988,71024738,71689504,71786347,72085542,72175550,72284924,72636245,72730077,73016971,73230908,73477267,73783771,73833237,74854267,75262857,76065788,76262165,76452962,76832971,77136307,77218664,77419025,77647129,78044587,78141722,78799507,79367324,80013108,80190357,80303947,80650692,81172418,81373550,81486428,81850145,82253337,82398067,82547107,83291227,83521562,83885227,84265881,85247324,85365187,85513241,85529498,86249707,86583425,86610660,86865242,86870997,87163494,87326134,88010971,88528281,88741771,88765724,89116685,89499245,90526658,90873308,91095801,91213027,91514598,91753333,92185178,92384704,92735637,92902830,93178562,93809885,94515837,95237971,95253700,95540165,96235387,96592385,96700245,96947324,96960941,97139138,97370971,97648260,97654147,97681133,98145861,98220174,98345948,98454722,98664397,98832957,99096352,99611765,...,9070858581985865683964876919107427070866103064678006480140241938426766509661248098740786389535531692925015318584146446000669105026329749704843492385422506022367480414711748078647709416482920174395656451422802101407383226526608697185881467946184964024208867391972527426607473993239937253097184519464374666014655255079299753613005831642179407586120297423870903079695188492958552394459244146459242815443230790213197297197699244492996168490947028397646818061737393557303525246934992323142742013389810291325836519636709850217048984351869570707516109156175050017341324291864690840958562998093053431775724785025444747645442961859060742233523197595617331276915165511762163396756356842020682346011287627863207348073861481995226938543870269686265778957842642675640549514844600435016554775392989685247907449355077267170620165227604531815648239926285270374900005919451464736513713089791258700869114672075497068460649680769819499694099894343068035749167218025583831018929144698955373422729008645961396904512451591641739919867173658562471687916443276287100395066683073061226845021562884340232132057587678445746571051259956806634001020564605636768233897638832510757188625429417319670759683541050030919983799482281121480915711062024191438578375061413116670069725796900325282674073877323928641102080180175355720592660827562751324473401287110688626207817711045565162562489257969838322833244227573709441460987521662253045921660646842503787184913187091287299225846357298869856302571257371171706227082912840314849060197892163044678896918780797207626242365995328917023163044294444361576300235770311442028113399222980250889580728931185367806070404224598925460822524418760515419435312897189167154553691447039054128305164386455716150388830043935551187443564938589644014382446100078099488958178503761083066986353314667658734883756432968973303240386730052080747251818301246799400077680213890867100775509528880675841119621445252940311891362376343848875266322683696527393453042842771684184851438683112016224773818598354886198907762503374363670506741680876098056761048512189711274706715736396979925895737489832896120697333454979296992865215427228698317303933081618902590511288345073010636655480515352641390137210340804506532666510983996019221839181089042129974520154318418237274335176559630830339469585845519519302351761257563841927376150557451382048066814729970182665828358579173688877346328632310026695051086009818584604369282533883256752559320929677813623420283329827214330817397741334345557592902847495673798179771972741001581627013874749068008898123664023974112726468313429097829200920150302747548983913847586736485531726332100330009926394232041060654876938377885546666840564281786006238558773124539154146206791836610008601274633165039276063718994418148013673243379668637412571046028680918264166771582884019482587574991008755337312934147602804322033213798267377063421116630482936489493745866342407762816277429149200005096037440813073596768186705863736935701209476125171162508490665296938793419894373428313316043601218799972059462796244011095218260534048564582205573504784659071507897929518871887039647337882378332224617602179703550872336562791366001142352189929686525290872489298176832119312185287674408563650448973190155441568776028178589499405863004012660587985976803722666340364143002603560942564640435737292115830743684373422316901167364258467280679413935506338255355945527449558992684533235028942294475680585249319182915291015800511418006375593741393546137724143077278849114944516148043035389020827958618050580798140503923865034095895172802555878036855675489773757652018993144050833720094506694778451558052089815800725739291358317539876751790381773302188724486888706642019021948293228112530642076152478674932529173970801769629618420152693115264728327018656349561202981681429565565163193963899232583871982664374261390532605655972511559643909127404624938076380863518582694011291782776577413802971751354084113257183095979541505535640452700127655260330786240414272836106622444684839921204795905971282863778559746620745549749644706802335649471389236216992411903667583826726029502149154676759423455569169575971287004501533445141576427504850705529104824212632969160377649752572707968817449845953667872851985323725364061611273979171069829986473928736226066242744324855341792539981354039830441446242688874670628696772667670124703602426202208177209912031390410481213621056510073209789291857980247783299609507041528217478603179322765785813524305578212249666404817128979280584479418585095995644423448371148186121911995349104887218279953423218140634788444332213123997987021542593919376105466007182549026997133021091124884709898367281387760891328355213143658980387155505344854334673588134256138564827731214504658904532469139104729305290608406103288813291886166209457519855605702673442875622690357987107584949334215335015277990821509742371330788501582783917986284981564768156810902738312640608990181299612629068956924678382542084}
30773 2995530663109217072414367277111609716920127369124333947605048522739420972815063637190247: {30773,646023,769075,922890,984416,1107468,1199523,1691635,2029962,3014186,3963783,4305980,5167176,5813073,6151400,6171303,6299035,6722643,6920325,7381680,7558842,7873792,8304390,8858016,9365635,9965268,10026147,10897435,11238762,11394523,11674983,12122155,12681991,12773127,13076922,14546586,14875435,15148411,15916586,16254583,16277890,16403635,17704083,17850522,18117130,18765643,19111771,19343847,19533468,19684362,19926247,20067235,20982235,21157123,21740556,22072467,22451203,22737980,23925427,24080682,24643267,24765962,25178682,25339683,26136763,26220362,27285576,27302530,27421351,27610987,27663403,28325947,28793786,29201035,30369223,30696273,30789091,31757242,32237635,32763036,32948611,33100483,33189943,33473703,34064371,34554567,34954771,34967155,35041242,35486347,35804362,36482155,36505867,37048123,37419643,37457660,38096707,38298835,38685162,41133980,41199211,41323435,41559123,41840011,41911628,41960586,42096423,42230035,42813922,43056667,43778586,44139271,44213162,44949192,45315687,45958602,46336316,47936218,48368167,48526471,48685442,49069786,49360776,49588122,49595943,50422027,50567841,50676042,50721356,51276235,51506683,51659266,52925890,53368171,53710796,54104707,54394707,54472586,54885691,55530873,55729207,55750531,56016202,57053127,57425851,57587155,57913402,58865203,59605411,59706147,60053818,60765843,60885835,61531482,62728316,62763067,63161660,63511068,63880435,64930507,66417403,66967891,67506871,67566331,68066155,68159523,68674268,69104586,69323530,69857635,69912883,70432682,70789863,71197627,72459080,72890247,73063002,73801027,73939143,74912167,75412423,75521155,75793992,76557603,76656522,76708171,77009155,77327042,77812327,77817980,78245827,78408130,78415304,79625563,80836616,81257223,81516465,81679386,81838202,82036930,82299207,82390748,83188236,83289946,83829162,83860563,84048386,84137635,84617468,84773203,85268241,86212435,86364956,86458503,86553562,86709308,86859266,86950896,88217217,88581235,89007751,89254171,89611880,89753347,90086547,90228787,90253562,90356155,90625386,90893671,90941193,91138376,91538635,92410986,93045811,93381576,94031623,94089756,94178396,94337986,95066611,95082235,95876947,96114056,96523330,96796263,96973436,97819758,98201587,98444316,99209155,99550867,...,13606287872978798525947315378661140606299154597017009720210362907640149764491872148111179584303297539387522977876219669001003657539494624557265238578133759033551220622067622117971564124724380261593484677134203152111074839789913045778822201919277446036313301087958791139911210989859905879645776779196561999021982882618949630419508747463269111379180446135806354619542782739437828591688866219688864223164846185319795945796548866739494252736420542596470227092606090335955287870402488484714113020084715436988754779455064775325573476527804356061274163734262575026011986437797036261437844497139580147663587177538167121468164442788591113350284796393425996915372748267643245095134535263031023519016931441794811022110792222992840407815805404529398668436763964013460824272266900652524832163089484527871861174032615900755930247841406797723472359889427905562350008879177197104770569634686888051303672008113245602690974521154729249541149841514602053623750827038375746528393717048433060134093512968942095356768677387462609879800760487843707531874664914430650592600024609591840267532344326510348198086381517668619856576889935209951001530846908455152350846458248766135782938144125979506139525311575046379975699223421682221373566593036287157867562592119675005104588695350487924011110815985892961653120270263033580888991241344126986710101930666032939311726566568347743843733886954757484249866341360564162191481282493379568882490970263755680777369780636930948838769535948304784453856886056757559340624369260472273590296838244567018345378171195811439363548992993375534744566441666542364450353655467163042170098834470376334371093396778051709105606336898388191233786628140773129152969345783750731830537170558581192457746579683574225583245065903326781165347407884466021573669150117149233437267755641624600479529972001488102325634649453459954860580095078121120877727451870199100116520320836300651163264293321013761679432167879410467837043564515773312899484025544791090179564264157526277277158024668024337160727897532329298361643755061545505760112521314147085141572768284566912060073604595469888843606234749344181046000182468945489297823140843047475955899622428353885766932517609515954983220773028962085205815511206759798999766475994028832758771633563194961780231477627355911502764839446245509204378768279278953527641886345762891064225836177073072100222094955273998742537868760533316019492948465040042576629014727876906553923800824885128838981394516720435130424994740821496226096612001518336389354271243510697269657959111502372440520812123602013347185496035961169089702470143646743801380225454121323475870771380104728297589498150495014889591348061590982315407566828320000260846422679009357838159686808731219310187754915012901911949747558914095578491627222020509865069502956118856569043021377396250157374326029223881362486513133005969401221404206483049820697401065595131674945724404734240618799513611644224416143723800007644056161219610395152280058795605403551814214187756743762735997945408190129841560142469974065401828199958089194194366016642827390801072846873308360257176988607261846894278307830559471006823567498336926403269555326308504844187049001713528284894529787936308733947265248178968277931511612845475673459785233162353164042267884249108794506018990881978965205583999510546214503905341413846960653605938173746115526560133475351751046387700921019120903259507383033918291174338489026799852543413441713520877873978774372936523700767127009563390612090319206586214615918273672416774222064553083531241937927075871197210755885797551143842759203833817055283513234660636478028489716076250580141760042167677337078134723701088608937037476309815127685572659953283086730333059963028532922439842168795963114228718012398793760956202654444427630229039672897092490527984524341804472522144348347744790945848848875807973996561392085798908483958767339465863691106937407114571295277874041016937674164866120704457627031126169885774643969312258303460679050191482890496179360621409254159933667027259881807193858956924295667839619931118324624467060203503474207083854325488617855501375740089044253223732015139135183353754363956930506752300167712364641257276058293657236318949453740566474628859061953226174768930501809277977985588046092416910968756604744979710893104339099364116487283012688809972031059745662169364033312005943045159001505187055403639303312265814868047085615721820431584765109814683937786970371674949414260562292326217904768984148678720286458367318374499607225693468920876719127877643993466635172556722279182867993023657330827419930134827210952182666498319685996980532313890879064158199010773823540495699531636687327064847550922081641336992532819715488470580733258017281502010382201384207847241596821756988356798703708657093957935912609154933219937829249314186279783408554010164313434035536980661377424001323002522916986232264613556996182752374175876979427472347152235216354107468960913485271949418943603435387017573813126}
30774 3004718371470876093746078311109485879369591853127110225869332279080731223364027207202931: {338393,522869,861364,1230520,1384335,1444169,1476624,1599364,1661202,1873493,2057369,2179913,2706616,2975669,3044943,3159113,3464693,3624134,4014233,4197269,4521279,5094374,5285044,5382475,5537333,6023669,6195542,6458970,6889568,7689250,7750764,7842869,8228404,8447669,8568533,8628953,8963524,9227100,9353369,9842240,10078456,10558169,10952294,11072520,11338263,11639753,11810688,12456585,13137653,13287024,13368196,13974293,14153369,14231174,14947902,14985016,15226313,15566644,15761813,16047734,16858143,17008793,17030836,17135942,17245913,17423669,17435896,17719769,17897333,18488693,19315253,19395448,19615383,19904693,20375669,20552153,21819879,21844169,22839893,23277974,23605444,23800696,23874879,24416835,24766169,25522613,25638869,25791796,26044624,26153942,26245816,26775783,27089369,27175695,27205193,27230054,27957269,28072853,28422475,28938713,28987408,29020694,29300202,29429956,29526543,30147893,30377813,30450614,30722453,31238873,32107576,32384153,32610834,32727113,33571576,33786244,34106970,34371014,34437593,35119769,35290133,35517173,36121023,36380768,36537269,37148943,37768023,38062553,38344373,38907413,39330543,39335414,39688934,40367573,40928364,40953795,41101574,41878169,42159542,42436169,43104713,43190679,43549769,43684048,44549273,44623094,44631604,44771033,45103433,45380213,45676742,45767369,46072756,46209353,46705973,46721656,46822075,46871369,47257013,47422169,47635863,47697269,49144554,49343669,50546453,50710169,50873813,51417475,51580216,52389535,52561863,53428169,53706543,54131573,55049369,55412164,55695833,55947448,56128564,56186490,56835014,57628313,57920395,58027743,58371448,58565174,59230793,59869769,59932256,60291734,60420916,60507593,60560693,60636614,61038233,61278136,61325942,61356233,61621013,61700970,62358854,62867442,62940879,62941913,63401695,63837269,64220883,64992533,65411669,65449814,65667879,65777993,65792534,65814368,66117496,66127924,66319743,66561653,67138495,67343513,67423788,67568056,67603733,68613391,68694473,68937903,69504474,69833369,70091669,70732039,71904327,72526276,73022153,73028163,73073333,73604679,74041164,74382183,74859593,75215669,75469769,75622133,76007174,76014063,76070836,76082034,77488899,77697014,77747669,78100553,78410395,78952075,79156853,79388835,79608196,79746079,79758869,80056742,80566194,80729654,81021124,81508169,81708879,82041976,82254869,82602713,82744934,83346773,83594393,83891273,84024303,84085574,84099799,84237269,84336053,84420374,84681424,85371353,85842835,86305013,86870103,87333593,88017353,90080727,90573850,90879364,91701833,91749542,91798169,92139448,92297223,93239369,93348626,93383093,94092474,94386484,94397414,94742490,95244953,95266602,96242453,97186996,97272475,97417336,97425353,98019130,98556233,98585524,99337334,99495113,...,20409431809468197788920973067991710909448731895525514580315544361460224646737808222166769376454946309081284466814329503501505486309241936835897857867200638550326830933101433176957346187086570392390227015701304728166612259684869568668233302878916169054469951631938186709866816484789858819468665168794842998532974323928424445629263121194903667068770669203709531929314174109156742887533299329533296334747269277979693918694823300109241379104630813894705340638909135503932931805603732727071169530127073155483132169182597162988360214791706534091911245601393862539017979656695554392156766745709370221495380766307250682202246664182886670025427194590138995373059122401464867642701802894546535278525397162692216533166188334489260611723708106794098002655145946020191236408400350978787248244634226791807791761048923851133895371762110196585208539834141858343525013318765795657155854452030332076955508012169868404036461781732093874311724762271903080435626240557563619792590575572649590201140269453413143035153016081193914819701140731765561297811997371645975888900036914387760401298516489765522297129572276502929784865334902814926502296270362682728526269687373149203674407216188969259209287967362569569963548835132523332060349889554430736801343888179512507656883043025731886016666223978839442479680405394550371333486862016190480065152895999049408967589849852521615765600830432136226374799512040846243287221923740069353323736455395633521166054670955396423258154303922457176680785329085136339010936553890708410385445257366850527518067256793717159045323489490063302116849662499813546675530483200744563255148251705564501556640095167077563658409505347582286850679942211159693729454018675626097745805755837871788686619869525361338374867598854990171748021111826699032360503725175723850155901633462436900719294958002232153488451974180189932290870142617181681316591177805298650174780481254450976744896439981520642519148251819115701755565346773659969349226038317186635269346396236289415915737037002036505741091846298493947542465632592318258640168781971220627712359152426850368090110406893204833265409352124016271569000273703418233946734711264571213933849433642530828650398776414273932474831159543443127808723266810139698499649713991043249138157450344792442670347216441033867254147259169368263806568152418918430291462829518644336596338754265609608150333142432910998113806803140799974029239422697560063864943522091815359830885701237327693258472091775080652695637492111232244339144918002277504584031406865266045904486938667253558660781218185403020020778244053941753634553705215470115702070338181181985213806157070157092446384247225742522334387022092386473473111350242480000391269634018514036757239530213096828965281632372519352867924621338371143367737440833030764797604254434178284853564532066094375236061489043835822043729769699508954101832106309724574731046101598392697512418586607101360928199270417466336624215585700011466084241829415592728420088193408105327721321281635115644103996918112285194762340213704961098102742299937133791291549024964241086201609270309962540385765482910892770341417461745839206510235351247505389604904332989462757266280573502570292427341794681904463100920897872268452416897267419268213510189677849743529746063401826373663191759028486322968447808375999265819321755858012120770440980408907260619173289840200213027626569581551381528681354889261074550877436761507733540199778815120162570281316810968161559404785551150690514345085918135478809879321923877410508625161333096829625296862906890613806795816133828696326715764138805750725582925269851990954717042734574114375870212640063251516005617202085551632913405556214464722691528358989929924630095499589944542799383659763253193944671343077018598190641434303981666641445343559509345638735791976786512706708783216522521617186418773273313711960994842088128698362725938151009198795536660406110671856942916811061525406511247299181056686440546689254828661965953968387455191018575287224335744269040932113881239900500540889822710790788435386443501759429896677486936700590305255211310625781488232926783252063610133566379835598022708702775030631545935395760128450251568546961885914087440485854478424180610849711943288592929839262153395752713916966978382069138625366453134907117469566339656508649046174730924519033214958046589618493254046049968008914567738502257780583105458954968398722302070628423582730647377147664722025906680455557512424121390843438489326857153476223018080429687550977561749410838540203381315078691816465990199952758835083418774301989535485996241129895202240816428273999747479528995470798470836318596237298516160735310743549297455030990597271326383122462005488799229573232705871099887025922253015573302076311770862395232635482535198055562985640936903868913732399829906743873971279419675112831015246470151053305470992066136001984503784375479348396920335494274128561263815469141208520728352824531161203441370227907924128415405153080526360719689}
30775 3013934097501385980722109060379276985911513721025121927360246463198930833964338946260136: {61546,1076705,1292046,1538150,1845780,1968832,1999205,2214936,2368289,2399046,2491803,3383270,4059924,5436201,6028372,6606305,7641561,7927566,8611960,8818649,9293313,9688455,10285505,10334352,11204405,11533875,11626146,12302800,12342606,12505889,12598070,13111889,13445286,13840650,14763360,15117684,15256409,15747584,16193129,16428441,16608780,16710245,16930577,16971017,17716032,18731270,19458305,19930536,20052294,20601713,20825609,21288545,21346761,21794870,22421853,22477524,22623689,22789046,22965089,23349966,23549201,24071601,24244310,25092521,25363982,25546254,25703913,26153844,28094129,29093172,29123861,29375129,29506805,29515193,29750870,30296822,30917921,31832789,31833172,32239745,32509166,32555780,32807270,34411337,34738913,34916961,35220929,35408166,35701044,36234260,36787445,37531286,38223542,38286641,38687694,39023513,39066936,39067097,39230913,39368724,39852494,40134470,40257893,40845081,40881449,41964470,42232805,42314246,42799889,43481112,43531041,43950303,44144934,44725529,44902406,45023381,45132689,45475960,45675921,46046177,46567349,47850854,48161364,48916251,48954017,49286534,49531924,50357364,50559989,50679366,51075017,51160455,51556521,52164593,52273526,52440724,53618369,54571152,54605060,54842702,55221974,55326806,55789505,56651894,56743961,56792597,57587572,57590945,57852809,58402070,59003121,59122049,59533401,60738446,61392546,61578182,61652361,62309417,63239313,63514484,63716129,64475270,65526072,65790521,65897222,66132329,66200966,66379886,66934641,66947406,68128742,68515113,69109134,69237989,69265205,69408473,69909542,69934310,70082484,70160705,70913513,70972694,71608724,71786729,72607481,72964310,73011734,73716831,74096246,74839286,74915320,75526145,76033409,76193414,76597670,76822001,77370324,78890753,80450033,80622017,82267960,82398422,82646870,82659905,83118246,83680022,83823256,83921172,84192846,84279735,84460070,85240169,85252521,85627844,86113334,86215637,87557172,87847761,88278542,88426324,88532561,89432609,89898384,90437601,90631374,90657845,90899633,90954921,91530641,91768373,91917204,91988913,92472341,92551455,92672632,93538281,93608033,94085429,94301163,94746521,95088545,95292617,95872436,95943233,96551489,96736334,96843557,97052942,97370884,97800689,98139572,98174721,98688801,98721552,99127013,99176244,99191886,99510245,...,27212575745957597051894630757322281212598309194034019440420725815280299528983744296222359168606595078775045955752439338002007315078989249114530477156267518067102441244135244235943128249448760523186969354268406304222149679579826091557644403838554892072626602175917582279822421979719811759291553558393123998043965765237899260839017494926538222758360892271612709239085565478875657183377732439377728446329692370639591891593097733478988505472841085192940454185212180671910575740804976969428226040169430873977509558910129550651146953055608712122548327468525150052023972875594072522875688994279160295327174355076334242936328885577182226700569592786851993830745496535286490190269070526062047038033862883589622044221584445985680815631610809058797336873527928026921648544533801305049664326178969055743722348065231801511860495682813595446944719778855811124700017758354394209541139269373776102607344016226491205381949042309458499082299683029204107247501654076751493056787434096866120268187025937884190713537354774925219759601520975687415063749329828861301185200049219183680535064688653020696396172763035337239713153779870419902003061693816910304701692916497532271565876288251959012279050623150092759951398446843364442747133186072574315735125184239350010209177390700975848022221631971785923306240540526067161777982482688253973420203861332065878623453133136695487687467773909514968499732682721128324382962564986759137764981940527511361554739561273861897677539071896609568907713772113515118681248738520944547180593676489134036690756342391622878727097985986751069489132883333084728900707310934326084340197668940752668742186793556103418211212673796776382467573256281546258305938691567501463661074341117162384915493159367148451166490131806653562330694815768932043147338300234298466874535511283249200959059944002976204651269298906919909721160190156242241755454903740398200233040641672601302326528586642027523358864335758820935674087129031546625798968051089582180359128528315052554554316049336048674321455795064658596723287510123091011520225042628294170283145536569133824120147209190939777687212469498688362092000364937890978595646281686094951911799244856707771533865035219031909966441546057924170411631022413519597999532951988057665517543267126389923560462955254711823005529678892491018408757536558557907055283772691525782128451672354146144200444189910547997485075737521066632038985896930080085153258029455753813107847601649770257677962789033440870260849989481642992452193224003036672778708542487021394539315918223004744881041624247204026694370992071922338179404940287293487602760450908242646951741542760209456595178996300990029779182696123181964630815133656640000521692845358018715676319373617462438620375509830025803823899495117828191156983254444041019730139005912237713138086042754792500314748652058447762724973026266011938802442808412966099641394802131190263349891448809468481237599027223288448832287447600015288112322439220790304560117591210807103628428375513487525471995890816380259683120284939948130803656399916178388388732033285654781602145693746616720514353977214523693788556615661118942013647134996673852806539110652617009688374098003427056569789059575872617467894530496357936555863023225690951346919570466324706328084535768498217589012037981763957930411167999021092429007810682827693921307211876347492231053120266950703502092775401842038241806519014766067836582348676978053599705086826883427041755747957548745873047401534254019126781224180638413172429231836547344833548444129106167062483875854151742394421511771595102287685518407667634110567026469321272956056979432152501160283520084335354674156269447402177217874074952619630255371145319906566173460666119926057065844879684337591926228457436024797587521912405308888855260458079345794184981055969048683608945044288696695489581891697697751615947993122784171597816967917534678931727382213874814229142590555748082033875348329732241408915254062252339771549287938624516606921358100382965780992358721242818508319867334054519763614387717913848591335679239862236649248934120407006948414167708650977235711002751480178088506447464030278270366707508727913861013504600335424729282514552116587314472637898907481132949257718123906452349537861003618555955971176092184833821937513209489959421786208678198728232974566025377619944062119491324338728066624011886090318003010374110807278606624531629736094171231443640863169530219629367875573940743349898828521124584652435809537968297357440572916734636748999214451386937841753438255755287986933270345113444558365735986047314661654839860269654421904365332996639371993961064627781758128316398021547647080991399063273374654129695101844163282673985065639430976941161466516034563004020764402768415694483193643513976713597407417314187915871825218309866439875658498628372559566817108020328626868071073961322754848002646005045833972464529227113992365504748351753958854944694304470432708214937921826970543898837887206870774035147626252}
30776 3023177926147377505163714477745689878697308903244378246135294049674123936317861931180613: {92319,399919,584383,676786,1045738,1722728,1938069,2241319,2307225,2425063,2461040,2768670,2888338,2953248,3198728,3322404,3598569,3746986,3892423,4114738,4258543,4359826,5074905,5413232,5951338,6084823,6089886,6318226,6813319,6929386,7248268,7535465,8028466,8394538,8629519,9042558,9353983,10188748,10570088,10619023,10764950,11074666,11340319,11891349,12047338,12391084,12420103,12917940,13779136,13855783,14034919,15378500,15501528,15685738,15822319,16456808,16895338,17137066,17257906,17439219,17927048,18312583,18454200,18513909,18706738,18897105,19375519,19684480,20156912,20167929,20259319,20760975,21116338,21904588,22145040,22676526,23279506,23601343,23621376,24826063,24913170,25698703,26275306,26574048,26736392,27948586,28096905,28306738,28462348,29895804,29970032,30078441,30452626,31133288,31523626,32095468,32443519,32692305,33716286,34017586,34061672,34183569,34271884,34491826,34847338,34871792,35024949,35439538,35794666,36366465,36879223,36977386,38045973,38319381,38403319,38630506,38790896,39230766,39791465,39809386,40694725,40751338,41104306,41936863,43608343,43639758,43688338,44626305,45292825,45445233,45679786,45770503,46555948,46598863,46929703,47210888,47601392,47749758,48763749,48833670,49210905,49401823,49532338,50877319,51040903,51045226,51277738,51583592,52089248,52307884,52491632,53112249,53551566,53973103,54178738,54351390,54410386,54460108,55753519,55914538,56145706,56296929,56844950,57203743,57335313,57877426,57974816,58006903,58031541,58041388,58600404,58859912,58968319,59053086,59778741,59927143,60201705,60295786,60564919,60755626,60901228,61444906,61914905,62312863,62477746,62946319,62946705,63471369,63894343,64215152,64768306,65221668,65454226,65550905,66217401,66722863,67143152,67353609,67572488,67660519,67816543,68213940,68256325,68742028,68875186,69838303,70239538,70580266,71034346,71776281,71984465,72155983,72242046,72761536,73074538,73078519,73345349,73929801,74297886,75221023,75525943,75536046,75982783,76019049,76125106,76286983,76688746,77046223,77814826,78410289,78661086,78670828,79162519,79377868,79393105,79764583,80735146,81088553,81856728,81907590,82161319,82203148,82264053,82832961,82990209,83756338,84243343,84319084,84872338,84977841,85279063,86209426,86381358,87099538,87368096,87603105,88762373,89098546,89246188,89263208,89510905,89542066,90206866,90760426,91107669,91129783,91353484,91534738,92088819,92145512,92367273,92418706,93411946,93443312,93644150,93742738,93993893,94514026,94844338,95271726,95394538,95442223,95869903,96712905,98289108,98687338,98845833,99301449,99549319,99569829,...,40818863618936395577841946135983421818897463791051029160631088722920449293475616444333538752909892618162568933628659007003010972618483873671795715734401277100653661866202866353914692374173140784780454031402609456333224519369739137336466605757832338108939903263876373419733632969579717638937330337589685997065948647856848891258526242389807334137541338407419063858628348218313485775066598659066592669494538555959387837389646600218482758209261627789410681277818271007865863611207465454142339060254146310966264338365194325976720429583413068183822491202787725078035959313391108784313533491418740442990761532614501364404493328365773340050854389180277990746118244802929735285403605789093070557050794325384433066332376668978521223447416213588196005310291892040382472816800701957574496489268453583615583522097847702267790743524220393170417079668283716687050026637531591314311708904060664153911016024339736808072923563464187748623449524543806160871252481115127239585181151145299180402280538906826286070306032162387829639402281463531122595623994743291951777800073828775520802597032979531044594259144553005859569730669805629853004592540725365457052539374746298407348814432377938518418575934725139139927097670265046664120699779108861473602687776359025015313766086051463772033332447957678884959360810789100742666973724032380960130305791998098817935179699705043231531201660864272452749599024081692486574443847480138706647472910791267042332109341910792846516308607844914353361570658170272678021873107781416820770890514733701055036134513587434318090646978980126604233699324999627093351060966401489126510296503411129003113280190334155127316819010695164573701359884422319387458908037351252195491611511675743577373239739050722676749735197709980343496042223653398064721007450351447700311803266924873801438589916004464306976903948360379864581740285234363362633182355610597300349560962508901953489792879963041285038296503638231403511130693547319938698452076634373270538692792472578831831474074004073011482183692596987895084931265184636517280337563942441255424718304853700736180220813786409666530818704248032543138000547406836467893469422529142427867698867285061657300797552828547864949662319086886255617446533620279396999299427982086498276314900689584885340694432882067734508294518338736527613136304837836860582925659037288673192677508531219216300666284865821996227613606281599948058478845395120127729887044183630719661771402474655386516944183550161305391274984222464488678289836004555009168062813730532091808973877334507117321562436370806040041556488107883507269107410430940231404140676362363970427612314140314184892768494451485044668774044184772946946222700484960000782539268037028073514479060426193657930563264745038705735849242676742286735474881666061529595208508868356569707129064132188750472122978087671644087459539399017908203664212619449149462092203196785395024837173214202721856398540834932673248431171400022932168483658831185456840176386816210655442642563270231288207993836224570389524680427409922196205484599874267582583098049928482172403218540619925080771530965821785540682834923491678413020470702495010779209808665978925514532561147005140584854683589363808926201841795744536904833794534838536427020379355699487059492126803652747326383518056972645936895616751998531638643511716024241540881960817814521238346579680400426055253139163102763057362709778522149101754873523015467080399557630240325140562633621936323118809571102301381028690171836270957619758643847754821017250322666193659250593725813781227613591632267657392653431528277611501451165850539703981909434085469148228751740425280126503032011234404171103265826811112428929445383056717979859849260190999179889085598767319526506387889342686154037196381282868607963333282890687119018691277471583953573025413417566433045043234372837546546627423921989684176257396725451876302018397591073320812221343713885833622123050813022494598362113372881093378509657323931907936774910382037150574448671488538081864227762479801001081779645421581576870772887003518859793354973873401180610510422621251562976465853566504127220267132759671196045417405550061263091870791520256900503137093923771828174880971708956848361221699423886577185859678524306791505427833933956764138277250732906269814234939132679313017298092349461849038066429916093179236986508092099936017829135477004515561166210917909936797444604141256847165461294754295329444051813360911115024848242781686876978653714306952446036160859375101955123498821677080406762630157383632931980399905517670166837548603979070971992482259790404481632856547999494959057990941596941672637192474597032321470621487098594910061981194542652766244924010977598459146465411742199774051844506031146604152623541724790465270965070396111125971281873807737827464799659813487747942558839350225662030492940302106610941984132272003969007568750958696793840670988548257122527630938282417041456705649062322406882740455815848256830810306161052721439378}
30777 3032449942611544981711317878840942910539427983529864454580163190174137713238222913010753: {123092,1015179,1507387,1568607,2153410,2584092,2798887,3076300,3691560,3937664,3998410,4153005,4332507,4429872,4736578,4798092,4983606,5620479,6172107,6539739,6766540,8119848,8927007,9060335,9134829,9248827,9477339,10394079,10872402,12042699,12056744,12591807,12735935,13212610,13563837,14399707,14779687,15283122,15488855,15686167,15855132,16147425,16611999,17223920,17637298,17905679,18071007,18098203,18586626,19223125,19376910,19928843,20571010,20668704,22408810,23067750,23252292,23394343,23528607,24347479,24539687,24605600,24685212,25011778,25196140,25343007,25705599,25886859,26223778,26737087,26890572,27241627,27380735,27667007,27681300,28060107,28962359,29526720,29803963,30032783,30235368,30512818,31495168,31674507,32386258,32856882,33194267,33217560,33420490,33861154,33942034,34014789,34919259,35432064,35577823,35577935,36510623,37041623,37369755,37462540,38916610,39412959,39861072,40104588,40119335,40927099,41055079,41203426,41309527,41651218,41922879,42032407,42460107,42577090,42693522,42839855,43285247,43589740,44843706,44955048,45135643,45247378,45578092,45678939,45930178,46405223,46699932,47098402,47285439,48143202,48488620,48838927,50185042,50574429,50581687,50727964,51026379,51092508,51407826,51502423,51737739,52271007,52307688,52508879,53159307,53691999,55466079,56188258,56508223,57945759,58186344,58194935,58218479,58247722,58550939,58750258,58846149,59013610,59030386,59125927,59137703,59501740,59714079,60593644,61127007,61656459,61835842,63163943,63474079,63665578,63666344,64479490,65018332,65111560,65384855,65459637,65532507,65614540,68075135,68519679,68822674,69477826,69833922,70441858,70816332,71402088,71624637,72468520,72551735,73250505,73574890,73912603,74207663,74298507,75062572,76126535,76255883,76416407,76447084,76567839,76573282,76916607,77375388,78047026,78105307,78133872,78134194,78461826,78737448,79704988,80268940,80327349,80515786,80627323,81268107,81527085,81615579,81690162,81762898,83806879,83871807,83928940,84218559,84465610,84628492,85050683,85267425,85599778,85927535,86154839,86248943,86816139,86853527,86962224,87062082,87900606,88289868,88579629,89451058,89622103,89804812,90046762,90240623,90265378,90443679,90951920,91133439,91351842,92092354,92161543,92167359,93134698,93716619,95701708,96244879,96322728,96971287,97152459,97832502,97843099,97908034,98181339,98224987,98338535,98573068,99063848,99222335,...,61228295428404593366762919203975132728346195686576543740946633084380673940213424666500308129364838927243853400442988510504516458927725810507693573601601915650980492799304299530872038561259711177170681047103914184499836779054608706004699908636748507163409854895814560129600449454369576458405995506384528995598922971785273336887789363584711001206312007611128595787942522327470228662599897988599889004241807833939081756084469900327724137313892441684116021916727406511798795416811198181213508590381219466449396507547791488965080644375119602275733736804181587617053938970086663176470300237128110664486142298921752046606739992548660010076281583770416986119177367204394602928105408683639605835576191488076649599498565003467781835171124320382294007965437838060573709225201052936361744733902680375423375283146771553401686115286330589755625619502425575030575039956297386971467563356090996230866524036509605212109385345196281622935174286815709241306878721672690859377771726717948770603420808360239429105459048243581744459103422195296683893435992114937927666700110743163281203895549469296566891388716829508789354596004708444779506888811088048185578809062119447611023221648566907777627863902087708709890646505397569996181049668663292210404031664538537522970649129077195658049998671936518327439041216183651114000460586048571440195458687997148226902769549557564847296802491296408679124398536122538729861665771220208059971209366186900563498164012866189269774462911767371530042355987255409017032809661672125231156335772100551582554201770381151477135970468470189906350548987499440640026591449602233689765444755116693504669920285501232690975228516042746860552039826633479081188362056026878293237417267513615366059859608576084015124602796564970515244063335480097097081511175527171550467704900387310702157884874006696460465355922540569796872610427851545043949773533415895950524341443763352930234689319944561927557444755457347105266696040320979908047678114951559905808039188708868247747211111006109517223275538895481842627396897776954775920506345913661883137077457280551104270331220679614499796228056372048814707000821110254701840204133793713641801548300927592485951196329242821797424493478630329383426169800430419095498949141973129747414472351034377328011041649323101601762441777508104791419704457256755290874388488555933009789016262796828824450999427298732994341420409422399922087718268092680191594830566275446079492657103711983079775416275325241958086912476333696733017434754006832513752094220595798137713460816001760675982343654556209060062334732161825260903661115646410347106211014543545955641418471210471277339152741677227567003161066277159420419334050727440001173808902055542110271718590639290486895844897117558058603773864015113430103212322499092294392812763302534854560693596198283125708184467131507466131189309098526862305496318929173724193138304795178092537255759821304082784597811252399009872646757100034398252725488246778185260264580224315983163963844905346932311990754336855584287020641114883294308226899811401373874647074892723258604827810929887621157296448732678311024252385237517619530706053742516168814712998968388271798841720507710877282025384045713389302762693616805357250691802257804640530569033549230589238190205479120989575277085458968905343425127997797457965267574036362311322941226721781857519869520600639082879708744654144586044064667783223652632310284523200620599336445360487710843950432904484678214356653452071543035257754406436429637965771632231525875483999290488875890588720671841420387448401486088980147292416417252176748775809555972864151128203722343127610637920189754548016851606256654898740216668643394168074585076969789773890286498769833628398150979289759581834014029231055794571924302911944999924336030678528036916207375930359538120126349649567564851559256319819941135882984526264386095088177814453027596386609981218332015570828750433184576219533741897543170059321640067764485985897861905162365573055725861673007232807122796341643719701501622669468132372365306159330505278289690032460810101770915765633931877344464698780349756190830400699139506794068126108325091894637806187280385350754705640885657742262321457563435272541832549135829865778789517786460187258141750900935146207415876099359404721352408699018969525947138524192773557099644874139768855479762138149904026743703215506773341749316376864905196166906211885270748191942131442994166077720041366672537272364172530315467980571460428669054241289062652932685248232515620610143945236075449397970599858276505250256322905968606457988723389685606722449284821999242438586986412395412508955788711895548482205932230647892365092971791813979149367386016466397688719698117613299661077766759046719906228935312587185697906447605594166688956922810711606741197199489720231621913838259025338493045739410453159916412976198408005953511353126438045190761006482822385683791446407423625562185058473593483610324110683723772385246215459241579082159067}
30778 3041750232353413691001062698827519607519232444585527412907990268213177364705270144431521: {153865,184638,799838,1168766,1353572,2091476,2180197,2731321,3098377,3230115,3281797,3445456,3845375,3876138,4482638,4614450,4850126,4922080,5537340,5776676,5906496,5997615,6397456,6644808,7104867,7197138,7298821,7475409,7493972,7784846,8206921,8229476,8458175,8517086,8569657,8719652,9475237,10149810,10549651,10559557,10826464,11821321,11902676,12169646,12179772,12636452,13079557,13626638,13858772,14496536,15070930,15406921,16056932,16308603,16789076,17259038,18085116,18609337,18707966,19317817,19818915,19848421,20377496,21140176,21238046,21529900,21612421,22149332,22680638,22924683,23782698,24094676,24782168,24840206,25642297,25835880,26455947,27208837,27558272,27711566,27879939,28069838,28076617,29065365,30324421,30757000,30856515,31003056,31371476,31495175,31529737,31644638,32902921,32913616,33613215,33790676,34274132,34515812,34601625,34878438,35854096,36625166,36908400,37027818,37413476,37517667,37672777,37794210,38751038,39335667,39368960,40204837,40313824,40335858,40518638,41521950,42218821,42232676,42553477,43388857,43809176,44290080,45353052,45769227,45884197,46559012,46828175,47202686,47242752,48579387,49285323,49652126,49826340,50130735,50791731,50913051,51397406,52550612,53148096,53472784,54247177,54487175,55056997,55708051,55897172,56193810,56613476,56924696,56972615,58278277,58374915,59718457,59791608,59940064,60156882,60610775,60905252,60993721,61805139,62266576,62476827,63047252,63056197,63409955,63846217,63865635,64040283,64190936,64887038,65384610,66518821,67265559,67432572,67871067,68035172,68123344,68367138,68543768,68895267,68983652,69636421,69694676,69743584,70049898,70647603,70879076,71589332,71955721,72214803,72732930,73758446,73954772,74377175,75277563,75742055,76091946,76638762,76806638,77111739,77261012,77581792,77758777,78461532,79268617,79582930,79618772,79870537,81272915,81389450,81502676,81519877,82018175,82208612,82564921,83309221,83606437,83873726,84282387,84348217,85531321,86680867,87216686,87279516,87371583,87376676,87444037,88125387,88520415,88545579,89252610,89490277,90585650,90653221,90890466,91359572,91377721,91541006,91771267,91811557,92388997,92753763,93111896,93197726,93828215,93859406,94257721,94421776,95202784,95498367,95499516,95558855,96398821,96719235,97392457,97527498,97667340,98421810,98803646,99064676,99509797,99631235,...,81637727237872791155683892271966843637794927582102058321262177445840898586951232888667077505819785236325137867257318014006021945236967747343591431468802554201307323732405732707829384748346281569560908062805218912666449038739478274672933211515664676217879806527752746839467265939159435277874660675179371994131897295713697782517052484779614668275082676814838127717256696436626971550133197318133185338989077111918775674779293200436965516418523255578821362555636542015731727222414930908284678120508292621932528676730388651953440859166826136367644982405575450156071918626782217568627066982837480885981523065229002728808986656731546680101708778360555981492236489605859470570807211578186141114101588650768866132664753337957042446894832427176392010620583784080764945633601403915148992978536907167231167044195695404535581487048440786340834159336567433374100053275063182628623417808121328307822032048679473616145847126928375497246899049087612321742504962230254479170362302290598360804561077813652572140612064324775659278804562927062245191247989486583903555600147657551041605194065959062089188518289106011719139461339611259706009185081450730914105078749492596814697628864755877036837151869450278279854195340530093328241399558217722947205375552718050030627532172102927544066664895915357769918721621578201485333947448064761920260611583996197635870359399410086463062403321728544905499198048163384973148887694960277413294945821582534084664218683821585693032617215689828706723141316340545356043746215562833641541781029467402110072269027174868636181293957960253208467398649999254186702121932802978253020593006822258006226560380668310254633638021390329147402719768844638774917816074702504390983223023351487154746479478101445353499470395419960686992084447306796129442014900702895400623606533849747602877179832008928613953807896720759729163480570468726725266364711221194600699121925017803906979585759926082570076593007276462807022261387094639877396904153268746541077385584945157663662948148008146022964367385193975790169862530369273034560675127884882510849436609707401472360441627572819333061637408496065086276001094813672935786938845058284855735397734570123314601595105657095729899324638173772511234893067240558793998598855964172996552629801379169770681388865764135469016589036677473055226272609675673721165851318074577346385355017062438432601332569731643992455227212563199896116957690790240255459774088367261439323542804949310773033888367100322610782549968444928977356579672009110018336125627461064183617947754669014234643124872741612080083112976215767014538214820861880462808281352724727940855224628280628369785536988902970089337548088369545893892445400969920001565078536074056147028958120852387315861126529490077411471698485353484573470949763332123059190417017736713139414258128264377500944245956175343288174919078798035816407328425238898298924184406393570790049674346428405443712797081669865346496862342800045864336967317662370913680352773632421310885285126540462576415987672449140779049360854819844392410969199748535165166196099856964344806437081239850161543061931643571081365669846983356826040941404990021558419617331957851029065122294010281169709367178727617852403683591489073809667589069677072854040758711398974118984253607305494652767036113945291873791233503997063277287023432048483081763921635629042476693159360800852110506278326205526114725419557044298203509747046030934160799115260480650281125267243872646237619142204602762057380343672541915239517287695509642034500645332387318501187451627562455227183264535314785306863056555223002902331701079407963818868170938296457503480850560253006064022468808342206531653622224857858890766113435959719698520381998359778171197534639053012775778685372308074392762565737215926666565781374238037382554943167907146050826835132866090086468745675093093254847843979368352514793450903752604036795182146641624442687427771667244246101626044989196724226745762186757019314647863815873549820764074301148897342977076163728455524959602002163559290843163153741545774007037719586709947746802361221020845242503125952931707133008254440534265519342392090834811100122526183741583040513801006274187847543656349761943417913696722443398847773154371719357048613583010855667867913528276554501465812539628469878265358626034596184698923698076132859832186358473973016184199872035658270954009031122332421835819873594889208282513694330922589508590658888103626721822230049696485563373753957307428613904892072321718750203910246997643354160813525260314767265863960799811035340333675097207958141943984964519580808963265713095998989918115981883193883345274384949194064642941242974197189820123962389085305532489848021955196918292930823484399548103689012062293208305247083449580930541930140792222251942563747615475654929599319626975495885117678700451324060985880604213221883968264544007938015137501917393587681341977096514245055261876564834082913411298124644813765480911631696513661620612322105442878756}
30779 3051078881090109589523763582819114741827242945684075161395837082893676545179270548369374: {246184,276957,1199757,1691965,1753149,2030358,2614345,3014774,3137214,3721597,4306820,5168184,5597774,5814207,6152600,6723957,6921675,7220845,7275189,7383120,7875328,7996820,8306010,8665014,8859744,9367465,9473156,9596184,9967212,10286845,10795707,10899565,11240958,11677269,12344214,12684469,12775629,13079478,13533080,13857877,14878345,15224715,15795565,16239696,17323465,17830309,17854014,18120670,18254469,18269658,18497654,18954678,20071165,20439957,20494909,20604397,20788158,20986345,21161257,21684397,21744804,22606395,23552269,23974357,24085398,24113488,25183614,25471870,25888557,26425220,26668741,26912375,27127674,27426709,27686665,28061949,28799414,29559374,30118345,30375157,30566244,30795109,30921949,30977710,31372334,31710264,31857069,32294850,32725957,32955049,33223998,34020957,34447840,35274596,35493289,35674047,35811358,36087997,36142014,36196406,37173252,37260309,37426957,38085049,38291629,38333029,38446250,38753820,39028597,39214345,39857686,41142020,41337408,41399461,41567349,41655829,41848189,42104757,42238345,42842665,43144765,44147917,44817620,46135500,46160917,46504584,46766845,46788686,47057214,47181289,47291749,47466957,48377629,48694958,49079374,49211200,49370424,49809109,50023556,50392280,50686014,51411198,51601657,51773718,51864661,52317657,52447556,52644937,52790845,53474174,53781144,54288841,54483254,54761470,54937749,55334014,55362600,55541727,55740109,56120214,56130181,56167069,56691315,57924718,58126557,58198765,58876729,59053440,59607926,59975797,60065566,60181129,60470736,60503787,60777957,61025636,62022469,62282925,62990336,63349014,64242277,64772516,64943209,65688265,65713764,66388534,66435120,66840980,67520077,67722308,67884068,68029578,68215237,68803657,69838518,69871465,70267261,70766845,70804029,70864128,70922797,71155646,71155870,73021246,74083246,74478189,74739510,74925080,75427189,76131565,76723177,76927741,77096109,77827549,77833220,78809065,78825918,79136041,79641157,79722144,80209176,80238670,80260741,80572717,81472909,81854198,82110158,82406852,82619054,83302436,83845758,84064814,84253237,84257437,84290715,84920214,85043965,85154180,85387044,85679710,86229565,86570494,87118345,87179480,87933757,88598845,89486665,89687412,89770921,89910096,90120589,90235323,90271286,90494756,90911557,91156184,91357878,91538797,91860356,92443465,92810446,92906077,93399864,94196804,94570878,95085229,95305189,96286404,96576265,96977240,97071589,97330557,97677854,98076915,99523465,...,122456590856809186733525838407950265456692391373153087481893266168761347880426849333000616258729677854487706800885977021009032917855451621015387147203203831301960985598608599061744077122519422354341362094207828368999673558109217412009399817273497014326819709791629120259200898908739152916811991012769057991197845943570546673775578727169422002412624015222257191575885044654940457325199795977199778008483615667878163512168939800655448274627784883368232043833454813023597590833622396362427017180762438932898793015095582977930161288750239204551467473608363175234107877940173326352940600474256221328972284597843504093213479985097320020152563167540833972238354734408789205856210817367279211671152382976153299198997130006935563670342248640764588015930875676121147418450402105872723489467805360750846750566293543106803372230572661179511251239004851150061150079912594773942935126712181992461733048073019210424218770690392563245870348573631418482613757443345381718755543453435897541206841616720478858210918096487163488918206844390593367786871984229875855333400221486326562407791098938593133782777433659017578709192009416889559013777622176096371157618124238895222046443297133815555255727804175417419781293010795139992362099337326584420808063329077075045941298258154391316099997343873036654878082432367302228000921172097142880390917375994296453805539099115129694593604982592817358248797072245077459723331542440416119942418732373801126996328025732378539548925823534743060084711974510818034065619323344250462312671544201103165108403540762302954271940936940379812701097974998881280053182899204467379530889510233387009339840571002465381950457032085493721104079653266958162376724112053756586474834535027230732119719217152168030249205593129941030488126670960194194163022351054343100935409800774621404315769748013392920930711845081139593745220855703090087899547066831791901048682887526705860469378639889123855114889510914694210533392080641959816095356229903119811616078377417736495494422222012219034446551077790963685254793795553909551841012691827323766274154914561102208540662441359228999592456112744097629414001642220509403680408267587427283603096601855184971902392658485643594848986957260658766852339600860838190997898283946259494828944702068754656022083298646203203524883555016209582839408914513510581748776977111866019578032525593657648901998854597465988682840818844799844175436536185360383189661132550892158985314207423966159550832550650483916173824952667393466034869508013665027504188441191596275426921632003521351964687309112418120124669464323650521807322231292820694212422029087091911282836942420942554678305483354455134006322132554318840838668101454880002347617804111084220543437181278580973791689794235116117207547728030226860206424644998184588785625526605069709121387192396566251416368934263014932262378618197053724610992637858347448386276609590356185074511519642608165569195622504798019745293514200068796505450976493556370520529160448631966327927689810693864623981508673711168574041282229766588616453799622802747749294149785446517209655621859775242314592897465356622048504770475035239061412107485032337629425997936776543597683441015421754564050768091426778605525387233610714501383604515609281061138067098461178476380410958241979150554170917937810686850255995594915930535148072724622645882453443563715039739041201278165759417489308289172088129335566447305264620569046401241198672890720975421687900865808969356428713306904143086070515508812872859275931543264463051750967998580977751781177441343682840774896802972177960294584832834504353497551619111945728302256407444686255221275840379509096033703212513309797480433337286788336149170153939579547780572997539667256796301958579519163668028058462111589143848605823889999848672061357056073832414751860719076240252699299135129703118512639639882271765969052528772190176355628906055192773219962436664031141657500866369152439067483795086340118643280135528971971795723810324731146111451723346014465614245592683287439403003245338936264744730612318661010556579380064921620203541831531267863754688929397560699512381660801398279013588136252216650183789275612374560770701509411281771315484524642915126870545083665098271659731557579035572920374516283501801870292414831752198718809442704817398037939051894277048385547114199289748279537710959524276299808053487406431013546683498632753729810392333812423770541496383884262885988332155440082733345074544728345060630935961142920857338108482578125305865370496465031241220287890472150898795941199716553010500512645811937212915977446779371213444898569643998484877173972824790825017911577423791096964411864461295784730185943583627958298734772032932795377439396235226599322155533518093439812457870625174371395812895211188333377913845621423213482394398979440463243827676518050676986091478820906319832825952396816011907022706252876090381522012965644771367582892814847251124370116947186967220648221367447544770492430918483158164318134}
30780 3060435974797131312940469724789879861706276631798160964713894922543373546441485302166545: {215411,307730,369276,522971,707411,1599676,1628531,2057771,2241611,2337532,2547851,2707144,3045537,3159731,3343139,4015019,4182952,4198091,4360394,4522161,4564019,4705821,5383525,5462642,6196754,6460230,6563594,6814211,6890912,6935531,7359899,7662779,7690750,7752276,8025971,8267939,8396661,8630651,8965276,9228900,9475859,9536171,9700252,9844160,9996025,10078619,10620419,10740731,11074680,11553352,11812992,11822099,11841445,11995230,12459015,12794912,12997521,13140251,13289616,13319699,13857611,13977059,14156171,14209734,14394276,14597642,14752691,14950818,14987944,15407939,15569692,15764939,16413842,16458952,16834211,16861437,16916350,17034172,17139314,17190059,17427131,17439304,17900891,18078419,18516321,18669659,18950474,19319099,19378091,19496051,19619217,19908659,20299620,20379731,20556251,20791499,21099302,21119114,21320339,21652928,22024451,22551779,23078459,23642642,23805352,23896451,24339292,24359544,24596339,25272904,25527731,25702139,25818371,26159114,26781021,27094811,27181005,27253276,27404487,27717544,27731579,27746481,28251851,28432017,28993072,29117531,29520899,30141860,30326459,30383939,30813842,30900899,31182237,31589171,32113864,32562251,32617206,32905139,33031525,33133571,33578152,34102979,34518076,34956419,35297291,35864771,36128097,36170232,36884219,37218674,37415932,37731779,37775421,38207805,38239451,38521211,38635634,39084131,39637830,39696842,40600019,40691511,40754992,42054251,42280352,42444851,42476092,42612131,43059800,43199121,43224842,43447451,43725491,44093245,44225459,44298664,44339061,45278819,45361276,45555539,45849366,45887339,46108379,46466565,46715579,46881011,47046371,47058501,47431931,47565396,48189352,48256811,48442275,49564336,49680412,49835997,50010539,50720651,50884331,51047939,51284594,51427525,51671760,52191179,52911894,53005619,53439251,53717037,54088739,54213021,54294609,54304979,54417674,54898979,55116544,55222571,55423132,55759878,56022025,56139676,56153234,56836211,57211691,57669375,58130730,58282331,58335779,59403059,59775851,59786529,60520259,60648842,61051019,61210091,61514000,61633931,61713030,61845659,62006112,62529445,62742952,62990350,63059474,63060611,63289276,63429539,63903299,64008491,64638971,65006219,65163491,65559445,65805842,65827232,66366851,66575699,66732251,66836579,67226430,67357739,67513931,67581352,67930091,68548264,69031624,69203250,69756876,70003211,70183029,70585821,70777331,71708192,72012179,72730379,73042437,73250332,73619061,73702571,73816800,74055636,74722811,74826952,75035334,75079139,75345554,75384251,75588420,75638291,75790619,76029021,76095059,76282045,76551179,77057219,77116797,77158331,77502076,77660577,78268451,78671334,78737920,78822059,79173851,79274291,79761661,79876259,80211261,80326979,80409674,80527091,80627648,80671716,80777051,80965645,81037276,81724881,82142205,82173131,82272611,82421771,82620539,83001021,83043900,83364779,83551225,84180321,84255491,84354299,84437642,84465352,84652885,84855085,85106954,85291379,85389851,85537499,86777714,86887077,87352571,87499259,87618352,88580160,88773937,88962179,89411889,89496779,89545331,89981939,90098349,90659819,90706104,90708179,91239611,91432619,91538454,91721891,91768394,92395739,92443811,93118024,93403571,93656350,94405372,94485504,95023521,95456219,96121331,96405899,96453299,97158774,97291525,97446851,98570646,98719091,99304252,99517139,99564011,99582801,99652680,99657731,...,183684886285213780100288757611925398185038587059729631222839899253142021820640273999500924388094516781731560201328965531513549376783177431523080720804805746952941478397912898592616115683779133531512043141311742553499510337163826118014099725910245521490229564687443680388801348363108729375217986519153586986796768915355820010663368090754133003618936022833385787363827566982410685987799693965799667012725423501817245268253409700983172411941677325052348065750182219535396386250433594543640525771143658399348189522643374466895241933125358806827201210412544762851161816910259989529410900711384331993458426896765256139820219977645980030228844751311250958357532101613183808784316226050918817506728574464229948798495695010403345505513372961146882023896313514181721127675603158809085234201708041126270125849440314660205058345858991769266876858507276725091725119868892160914402690068272988692599572109528815636328156035588844868805522860447127723920636165018072578133315180153846311810262425080718287316377144730745233377310266585890051680307976344813783000100332229489843611686648407889700674166150488526368063788014125334338520666433264144556736427186358342833069664945700723332883591706263126129671939516192709988543149005989876631212094993615612568911947387231586974149996015809554982317123648550953342001381758145714320586376063991444680708308648672694541890407473889226037373195608367616189584997313660624179913628098560701690494492038598567809323388735302114590127067961766227051098428985016375693469007316301654747662605311143454431407911405410569719051646962498321920079774348806701069296334265350080514009760856503698072925685548128240581656119479900437243565086168080634879712251802540846098179578825728252045373808389694911545732190006440291291244533526581514651403114701161932106473654622020089381396067767621709390617831283554635131849320600247687851573024331290058790704067959833685782672334266372041315800088120962939724143034344854679717424117566126604743241633333018328551669826616686445527882190693330864327761519037740985649411232371841653312810993662038843499388684169116146444121002463330764105520612401381140925404644902782777457853588987728465392273480435890988150278509401291257286496847425919389242243417053103131984033124947969304805287325332524314374259113371770265872623165465667799029367048788390486473352998281896198983024261228267199766263154804278040574784491698826338238477971311135949239326248825975725874260737429001090199052304262020497541256282661787394413140382448005282027947030963668627180187004196485475782710983346939231041318633043630637866924255413631413832017458225031682701009483198831478261258002152182320003521426706166626330815155771917871460687534691352674175811321592045340290309636967497276883178438289907604563682080788594849377124553401394522398393567927295580586916488956787521172579414914385534277611767279463912248353793433757197029617940271300103194758176464740334555780793740672947949491891534716040796935972263010566752861061923344649882924680699434204121623941224678169775814483432789662863471889346198034933072757155712552858592118161227548506444138996905164815396525161523132631846076152137140167908288080850416071752075406773413921591707100647691767714570616437362968725831256376906716030275383993392373895802722109086933968823680165345572559608561801917248639126233962433758132194003349670957896930853569601861798009336081463132531851298713454034643069960356214629105773263219309288913897314896694577626451997871466627671766162015524261162345204458266940441877249251756530246327428667918592453384611167029382831913760569263644050554818769964696220650005930182504223755230909369321670859496309500885194452937869278745502042087693167383715772908735834999773008092035584110748622127791078614360379048948702694554677768959459823407648953578793158285264533443359082789159829943654996046712486251299553728658601225692629510177964920203293457957693585715487096719167177585019021698421368389024931159104504868008404397117095918477991515834869070097382430305312747296901795632033394096341049268572491202097418520382204378324975275683913418561841156052264116922656973226786964372690305817625497647407489597336368553359380561774425252702805438622247628298078214164057226097056908577841415572578320671298934622419306566439286414449712080231109646520320025247949130594715588500718635655812244575826394328982498233160124100017611817092517590946403941714381286007162723867187958798055744697546861830431835708226348193911799574829515750768968717905819373966170169056820167347854465997727315760959237186237526867366135686645446617796691943677095278915375441937448102158049399193066159094352839898983233300277140159718686805937761557093719342816782500066870768432134820223591598469160694865741514777076015479137218231359479749238928595224017860534059379314135572283019448467157051374339222270876686555175420780450830972332051171317155738646377724737246477201}
30781 3069821599709124479648805636437457590840672899569894314663416072070910357358988016932044: {30781,461595,492368,553914,1999595,2368751,2399514,2921915,3383930,3506298,3660083,4060716,4398251,5228690,6029548,6274428,6540591,7443194,8193963,8613640,9295131,9690345,9845391,10109183,10336368,11195548,11206595,11536125,11628414,12125315,12305200,13114451,13447914,13843350,14401583,14441690,14533871,14550378,14766240,15259391,15750656,15993640,16377491,16612020,17330028,17719488,17992845,18734930,18946312,19192368,19327283,19462115,19934424,20573690,20829683,21292715,21314601,21591414,21799130,21896463,21908351,22113791,22426227,22481916,22628111,23354538,24252851,24350651,24620763,24649691,24688428,25368938,25374525,25551258,25708971,26158956,27066160,27715754,28099631,28333331,28425711,29380883,29756690,30424115,30449430,31517603,31591130,31648953,31678671,31839011,32479392,34066595,34418063,34646930,34963883,35227811,35463963,35660618,35708028,36241340,36508938,36539316,36762539,36995308,37677325,37909356,38676131,38761331,39238671,40142330,40879914,40932431,40989818,41208794,41576316,41972690,42037883,42165683,42322514,42565643,42649451,42808271,43067891,43147595,43368794,43489608,44734271,45212790,46220763,46576451,46769915,46834799,47104538,47948714,48170796,48226976,48925809,50367228,50435171,50943740,51777114,52174811,52850440,53095115,53337482,53382083,53687411,53824750,54118811,54255348,54553811,54853418,54900083,55373330,55828011,56123898,56701595,57598828,57953451,58032899,58838459,59118748,59133683,59456745,59545263,59979731,60236690,60402671,60750314,61132488,61590218,61843898,61955420,62100515,62744668,63420528,63714138,64589700,64837263,64914971,65451914,65473583,65803403,65910098,66145283,66447996,68041914,68404691,68774049,68895680,69278915,69422051,70174595,70549192,70927439,70986578,71348094,71622716,72175994,72284028,72392812,73907183,74346504,74520618,74853914,75113279,75922691,76048283,76170098,76240559,76583258,76666058,76837043,76892500,76926891,77507640,78057194,78428690,79111595,79367841,79715372,80465771,80932379,81478271,81626511,82284040,82674816,82798922,82842371,83134698,83311658,83639817,83696378,83817851,84209514,84229851,84476690,84593699,85685330,86289530,87196095,88295834,88363151,89473151,89635240,90914603,90973263,91548563,91562915,91963571,92271000,92321834,92569545,92912171,93009168,93533690,93577372,94114428,94159931,94362578,94485525,94583498,94589211,94853603,94933914,95962019,96755258,96862523,96877595,97389916,97820051,98158748,98422400,98708763,98740848,99073583,99310979,99576971,99618218,...,244913181713618373467051676815900530913384782746306174963786532337522695760853698666001232517459355708975413601771954042018065835710903242030774294406407662603921971197217198123488154245038844708682724188415656737999347116218434824018799634546994028653639419583258240518401797817478305833623982025538115982395691887141093347551157454338844004825248030444514383151770089309880914650399591954399556016967231335756327024337879601310896549255569766736464087666909626047195181667244792724854034361524877865797586030191165955860322577500478409102934947216726350468215755880346652705881200948512442657944569195687008186426959970194640040305126335081667944476709468817578411712421634734558423342304765952306598397994260013871127340684497281529176031861751352242294836900804211745446978935610721501693501132587086213606744461145322359022502478009702300122300159825189547885870253424363984923466096146038420848437541380785126491740697147262836965227514886690763437511086906871795082413683233440957716421836192974326977836413688781186735573743968459751710666800442972653124815582197877186267565554867318035157418384018833779118027555244352192742315236248477790444092886594267631110511455608350834839562586021590279984724198674653168841616126658154150091882596516308782632199994687746073309756164864734604456001842344194285760781834751988592907611078198230259389187209965185634716497594144490154919446663084880832239884837464747602253992656051464757079097851647069486120169423949021636068131238646688500924625343088402206330216807081524605908543881873880759625402195949997762560106365798408934759061779020466774018679681142004930763900914064170987442208159306533916324753448224107513172949669070054461464239438434304336060498411186259882060976253341920388388326044702108686201870819601549242808631539496026785841861423690162279187490441711406180175799094133663583802097365775053411720938757279778247710229779021829388421066784161283919632190712459806239623232156754835472990988844444024438068893102155581927370509587591107819103682025383654647532548309829122204417081324882718457999184912225488195258828003284441018807360816535174854567206193203710369943804785316971287189697973914521317533704679201721676381995796567892518989657889404137509312044166597292406407049767110032419165678817829027021163497553954223732039156065051187315297803997709194931977365681637689599688350873072370720766379322265101784317970628414847932319101665101300967832347649905334786932069739016027330055008376882383192550853843264007042703929374618224836240249338928647301043614644462585641388424844058174183822565673884841885109356610966708910268012644265108637681677336202909760004695235608222168441086874362557161947583379588470232234415095456060453720412849289996369177571251053210139418242774384793132502832737868526029864524757236394107449221985275716694896772553219180712370149023039285216331138391245009596039490587028400137593010901952987112741041058320897263932655855379621387729247963017347422337148082564459533177232907599245605495498588299570893034419311243719550484629185794930713244097009540950070478122824214970064675258851995873553087195366882030843509128101536182853557211050774467221429002767209031218562122276134196922356952760821916483958301108341835875621373700511991189831861070296145449245291764906887127430079478082402556331518834978616578344176258671132894610529241138092802482397345781441950843375801731617938712857426613808286172141031017625745718551863086528926103501935997161955503562354882687365681549793605944355920589169665669008706995103238223891456604512814889372510442551680759018192067406425026619594960866674573576672298340307879159095561145995079334513592603917159038327336056116924223178287697211647779999697344122714112147664829503721438152480505398598270259406237025279279764543531938105057544380352711257812110385546439924873328062283315001732738304878134967590172680237286560271057943943591447620649462292222903446692028931228491185366574878806006490677872529489461224637322021113158760129843240407083663062535727509377858795121399024763321602796558027176272504433300367578551224749121541403018822563542630969049285830253741090167330196543319463115158071145840749032567003603740584829663504397437618885409634796075878103788554096771094228398579496559075421919048552599616106974812862027093366997265507459620784667624847541082992767768525771976664310880165466690149089456690121261871922285841714676216965156250611730740992930062482440575780944301797591882399433106021001025291623874425831954893558742426889797139287996969754347945649581650035823154847582193928823728922591569460371887167255916597469544065865590754878792470453198644311067036186879624915741250348742791625790422376666755827691242846426964788797958880926487655353036101353972182957641812639665651904793632023814045412505752180763044025931289542735165785629694502248740233894373934441296442734895089540984861836966316328636268}
30782 3079235842320658301414265219913372840132731258374330320002921729112715418058324481802371: {430822,584497,615460,738552,830871,1045942,1414822,2425537,3199352,3257062,3599271,4115542,4259377,4483222,4625281,4675064,5075895,5095702,5259447,5414288,6091074,6319462,6686278,6814657,6996637,7536935,7843035,8030038,8365904,8396182,8720788,9044322,9128038,9411642,9536797,10767050,10925284,11164791,11522737,12393508,12920460,13127188,13628422,13781824,13871062,13994435,14037697,14719798,15325558,15381500,15504552,15825457,16051942,16360381,16535878,16578023,16793322,17250481,17261302,17442621,17930552,18138781,18457800,18493597,18951718,19072342,19379377,19400504,19688320,19992050,20157238,20171871,20263357,20765025,20792881,21240838,21481462,21662535,21825567,22149360,23079997,23106704,23625984,23644198,23682890,23990460,24656257,24918030,25589824,25995042,26280502,26579232,26639398,27444097,27715222,27954118,28102395,28312342,28419468,28788552,29195284,29505382,29901636,29975888,30385981,30815878,30860535,31139384,31529878,32387121,32698695,32827684,32917904,33668422,33722874,33832700,34068344,34162237,34278628,34380118,34674481,34854262,34878608,35031807,35526781,35801782,35867197,36156838,37032642,37339318,37900948,38053407,38326887,38638198,38756182,38992102,39238434,39817318,40599240,40602781,40759462,41106817,41112502,41573631,41582998,42198604,42238228,42640678,43116481,43305856,44048902,44635035,44783281,45103558,45301675,45674145,46156918,46244135,46939357,47285284,47386695,47610704,47792902,48678584,48719088,49192678,50068657,50545808,51051457,51055462,51404278,51636742,51970395,52318228,53490927,53562042,53821981,54146557,54189622,54362010,54506552,54763407,54808974,55435088,55463158,55492962,56503702,56864034,57376477,57858481,57986144,58235062,58339837,58980637,59041798,60213495,60283720,60577597,60652918,60767878,61319871,61484727,61627684,61730543,61801798,61813191,61849981,62325937,62364474,62959035,62959537,63178342,63483771,63679675,64227728,64695997,65053191,65124502,65234412,65810278,66063050,66267142,67156304,67362481,67819185,67830877,68205958,69036152,69912838,70008157,70594582,70656807,70782337,71729542,71923071,71998535,72256194,72340464,73768438,73898435,74437348,74779057,74831864,75084481,75389617,75463558,75550842,76151197,76415610,76478902,76607281,77042422,77271268,77444275,77665671,78168262,78430835,79275660,79393684,80006223,80737125,81200038,81383022,81509984,82280127,83059995,83816497,84108502,84185847,84557917,84560704,84889702,84952184,85224262,86035357,86119600,86398242,86449684,86894902,87450982,87541223,88186490,88450918,88597328,88678122,89528395,89551837,90355035,90491015,90557638,90714781,90722552,91111078,91125471,91698732,91774678,91783223,92216758,92385327,92450557,92765847,92933130,93431158,93762022,94092742,94117002,94863862,95130792,95463217,95571207,95748481,96115625,96175837,96378704,96460381,96513622,96884550,97170481,98177871,98865147,99128672,99360824,99571357,99644215,99671994,99992881,...,367369772570427560200577515223850796370077174119459262445679798506284043641280547999001848776189033563463120402657931063027098753566354863046161441609611493905882956795825797185232231367558267063024086282623485106999020674327652236028199451820491042980459129374887360777602696726217458750435973038307173973593537830711640021326736181508266007237872045666771574727655133964821371975599387931599334025450847003634490536506819401966344823883354650104696131500364439070792772500867189087281051542287316798696379045286748933790483866250717613654402420825089525702323633820519979058821801422768663986916853793530512279640439955291960060457689502622501916715064203226367617568632452101837635013457148928459897596991390020806691011026745922293764047792627028363442255351206317618170468403416082252540251698880629320410116691717983538533753717014553450183450239737784321828805380136545977385199144219057631272656312071177689737611045720894255447841272330036145156266630360307692623620524850161436574632754289461490466754620533171780103360615952689627566000200664458979687223373296815779401348332300977052736127576028250668677041332866528289113472854372716685666139329891401446665767183412526252259343879032385419977086298011979753262424189987231225137823894774463173948299992031619109964634247297101906684002763516291428641172752127982889361416617297345389083780814947778452074746391216735232379169994627321248359827256197121403380988984077197135618646777470604229180254135923532454102196857970032751386938014632603309495325210622286908862815822810821139438103293924996643840159548697613402138592668530700161028019521713007396145851371096256481163312238959800874487130172336161269759424503605081692196359157651456504090747616779389823091464380012880582582489067053163029302806229402323864212947309244040178762792135535243418781235662567109270263698641200495375703146048662580117581408135919667371565344668532744082631600176241925879448286068689709359434848235132253209486483266666036657103339653233372891055764381386661728655523038075481971298822464743683306625621987324077686998777368338232292888242004926661528211041224802762281850809289805565554915707177975456930784546960871781976300557018802582514572993694851838778484486834106206263968066249895938609610574650665048628748518226743540531745246330931335598058734097576780972946705996563792397966048522456534399532526309608556081149568983397652676476955942622271898478652497651951451748521474858002180398104608524040995082512565323574788826280764896010564055894061927337254360374008392970951565421966693878462082637266087261275733848510827262827664034916450063365402018966397662956522516004304364640007042853412333252661630311543835742921375069382705348351622643184090680580619273934994553766356876579815209127364161577189698754249106802789044796787135854591161173832977913575042345158829828771068555223534558927824496707586867514394059235880542600206389516352929480669111561587481345895898983783069432081593871944526021133505722123846689299765849361398868408243247882449356339551628966865579325726943778692396069866145514311425105717184236322455097012888277993810329630793050323046265263692152304274280335816576161700832143504150813546827843183414201295383535429141232874725937451662512753813432060550767986784747791605444218173867937647360330691145119217123603834497278252467924867516264388006699341915793861707139203723596018672162926265063702597426908069286139920712429258211546526438618577827794629793389155252903995742933255343532324031048522324690408916533880883754498503513060492654857335837184906769222334058765663827521138527288101109637539929392441300011860365008447510461818738643341718992619001770388905875738557491004084175386334767431545817471669999546016184071168221497244255582157228720758097897405389109355537918919646815297907157586316570529066886718165578319659887309992093424972502599107457317202451385259020355929840406586915915387171430974193438334355170038043396842736778049862318209009736016808794234191836955983031669738140194764860610625494593803591264066788192682098537144982404194837040764408756649950551367826837123682312104528233845313946453573928745380611635250995294814979194672737106718761123548850505405610877244495256596156428328114452194113817155682831145156641342597869244838613132878572828899424160462219293040640050495898261189431177001437271311624489151652788657964996466320248200035223634185035181892807883428762572014325447734375917596111489395093723660863671416452696387823599149659031501537937435811638747932340338113640334695708931995454631521918474372475053734732271373290893235593383887354190557830750883874896204316098798386132318188705679797966466600554280319437373611875523114187438685633565000133741536864269640447183196938321389731483029554152030958274436462718959498477857190448035721068118758628271144566038896934314102748678444541753373110350841560901661944664102342634311477292755449474492954402}
30783 3088678789387004507900704306651087680483523613476467947435718872311249487926676918017802: {61562,646233,769325,923190,984736,1107828,1568913,2122233,2799433,3999190,4090681,4737502,4799028,4885593,5197933,5843830,6173313,6724833,6767860,7012596,7320166,7643553,8121432,8796502,9136611,9479193,10029417,10457380,10900985,12045057,12059096,12548856,12594273,13081182,13566483,13656605,13692057,14117463,14886388,15491885,15689233,16150575,16387926,16408985,16975441,17176393,17227280,18590262,19226875,19380690,19690782,19932737,20218366,20442633,20672736,20806593,21601081,22079697,22391096,22413190,22988337,23072250,23256828,24077913,24250630,24610400,24803817,25189983,25891953,26228902,26742313,26895828,27246961,27672413,27686700,28019057,28427577,28608513,28803166,28883380,29067742,29100756,29131453,29532480,29809801,29988075,30235857,30518782,30799121,31501312,31861257,31987280,32222193,32754982,33200753,33224040,34075481,34660056,35438976,35466297,35524335,35584777,35985690,36494105,36517757,37377045,37431833,37469860,37892624,38384736,38654566,38924230,38992563,39077281,39420753,39868848,39959097,41034605,41147380,41572833,41659366,41853641,41931177,42290875,42468513,42585430,42593761,42629202,42848285,43182828,43446637,43598260,43792926,43816702,44227582,44258073,44852454,44963832,45256222,46223817,46414301,46709076,47294817,47376185,47693233,48505702,48701302,48848473,49241526,49299382,49376856,50115137,50502633,50584311,50591593,50737876,50749050,51102516,51417942,51570177,52281393,52317912,52748255,52797785,53702673,54132320,54235257,55350217,55431508,55548963,56008977,56199262,56666662,56758753,56851422,57957297,58134273,58488153,58562393,58761766,58857651,59106605,59513380,59725977,60003577,60237617,60406633,60848230,60898860,61139193,61668753,62374497,62783537,63035206,63182260,63297906,63357342,63678022,63961017,64958784,65397785,65477881,66073353,66687197,67655337,67792001,68133190,68836126,69235377,69293860,69927766,70455622,70927926,71321236,71416056,71689353,72482680,73017876,73078632,73525078,73789017,73825097,73927081,73990616,74333161,75354650,75818712,76583193,76717693,77034605,77106417,77352262,77455113,77522662,78271457,78477342,79382233,80284660,80343063,81284433,81543015,81759828,81864862,81979636,82213461,82417588,83152632,83194737,83239443,83823337,83945380,84075766,84331366,84645028,84755553,85067321,85131286,85296051,85298902,85616542,86135782,86171693,86295190,86737588,86940721,86979216,87352593,88262537,88562697,89283281,89468542,89974013,90425580,90979377,91151817,92441526,92702697,93046685,93152902,93539830,93546711,93669598,94209076,94247681,94767513,95647357,95897428,95908217,96341592,96453952,96589085,96990481,97686753,97851618,97862257,98244433,98715417,99094575,99242105,99400713,...,551054658855641340300866272835776194555115761179188893668519697759426065461920821998502773164283550345194680603986896594540648130349532294569242162414417240858824435193738695777848347051337400594536129423935227660498531011491478354042299177730736564470688694062331041166404045089326188125653959557460760960390306746067460031990104272262399010856808068500157362091482700947232057963399081897399001038176270505451735804760229102949517235825031975157044197250546658606189158751300783630921577313430975198044568567930123400685725799376076420481603631237634288553485450730779968588232702134152995980375280690295768419460659932937940090686534253933752875072596304839551426352948678152756452520185723392689846395487085031210036516540118883440646071688940542545163383026809476427255702605124123378810377548320943980615175037576975307800630575521830175275175359606676482743208070204818966077798716328586446908984468106766534606416568581341383171761908495054217734399945540461538935430787275242154861949131434192235700131930799757670155040923929034441349000300996688469530835059945223669102022498451465579104191364042376003015561999299792433670209281559075028499208994837102169998650775118789378389015818548578129965629447017969629893636284980846837706735842161694760922449988047428664946951370945652860026004145274437142961759128191974334042124925946018083625671222421667678112119586825102848568754991940981872539740884295682105071483476115795703427970166205906343770381203885298681153295286955049127080407021948904964242987815933430363294223734216231709157154940887494965760239323046420103207889002796050241542029282569511094218777056644384721744968358439701311730695258504241904639136755407622538294538736477184756136121425169084734637196570019320873873733600579744543954209344103485796319420963866060268144188203302865128171853493850663905395547961800743063554719072993870176372112203879501057348017002799116123947400264362888819172429103034564039152272352698379814229724899999054985655009479850059336583646572079992592983284557113222956948233697115524959938432980986116530498166052507348439332363007389992292316561837204143422776213934708348332373560766963185396176820441307672964450835528203873771859490542277758167726730251159309395952099374843907914415861975997572943122777340115310797617869496397003397088101146365171459420058994845688596949072783684801599298789464412834121724353475096479014715433913933407847717978746477927177622782212287003270597156912786061492623768847985362183239421147344015846083841092891005881540561012589456427348132950040817693123955899130891913600772766240894241496052374675095048103028449596494434783774006456546960010564280118499878992445467315753614382062604074058022527433964776136020870928910902491830649535314869722813691046242365784548131373660204183567195180703781886741760749466870362563517738244743156602832835301838391736745061380301271591088853820813900309584274529394221003667342381222018843848475674604148122390807916789031700258583185770033949648774042098302612364871823674034509327443450298368988590415668038594104799218271467137658575776354483682645519332416990715494446189575484569397895538228456411420503724864242551248215256226220320241764775121301943075303143711849312088906177493769130720148090826151980177121687408166327260801906471040496036717678825685405751745917378701887301274396582010049012873690792560708805585394028008244389397595553896140362103929209881068643887317319789657927866741691944690083732879355993614399883015298486046572783487035613374800821325631747755269590738982286003755777360153833501088148495741281707790932151664456309894088661950017790547512671265692728107965012578488928502655583358813607836236506126263079502151147318726207504999319024276106752332245866383373235843081137146846108083664033306878379470222946860736379474855793600330077248367479489830964988140137458753898661185975803677077888530533894760609880373873080757146461290157501532755057065095264105167074793477313514604025213191351287755433974547504607210292147290915938241890705386896100182289023147805717473606292255561146613134974925827051740255685523468156792350767970919680360893118070917452876492942222468792009105660078141685323275758108416315866742884894234642492171678291170725733524246717734962013896803867257919699317859243349136240693328939560960075743847391784146765502155906967436733727479182986947494699480372300052835451277552772839211825143143858021488171601563876394167234092640585491295507124679044581735398724488547252306906153717458121898510507170460502043563397993181947282877711558712580602098407059936339853390075831031285836746126325812344306474148197579198477283058519696949699900831420479156060417813284671281158028450347500200612305296404460670774795407482084597224544331228046437411654694078439247716785785672053581602178137942406716849058345401471154123017666812630059665526262341352492916996153513951467215939133174211739431603}
30784 3098150527924918591954404879295721765962943852855466345216704229794949535482688061132588: {92343,338503,861644,1168994,1230920,1384785,1477104,1661742,2091884,2180623,2829644,3282439,3465823,4851074,5843263,5998785,6398704,6514124,6936439,7106253,7198542,8231084,8459825,8518754,8765745,8933863,8966444,9250562,9350128,9658039,10151790,10191404,10518894,10551709,10742143,10828576,10980249,12182148,12638924,13071725,13194753,13372556,13441063,13629314,13978903,13993274,14873863,15073870,15686070,16060076,16731808,16792364,17441576,17725639,18088644,18256076,18607985,18823284,19073594,19498639,19592209,19621773,21534100,21850568,22329582,23045474,23198503,24581889,24787016,25647439,25821823,25840920,26254376,27214303,27256844,27563648,27742124,27885393,27988870,28075394,28255639,29071035,29439596,29536173,30327549,30651116,30675343,30763000,31009104,31536103,31650914,32103884,32720762,33071756,33156046,33586644,33619785,34107583,34500962,34522604,34608375,34885242,35861104,35983039,36104225,36277562,36375945,36915600,36987194,37849783,37903436,38144684,38357383,38758754,38801008,39343353,39376640,39984100,40044703,40314476,40343742,40381303,40526714,41530050,41585762,42481676,42562183,42962924,43204749,43325070,43397743,43564639,43601613,43651134,44298720,45395743,45778173,46159994,46213408,46225183,46837325,47251968,47288396,47365780,47713639,47980920,49132473,49312514,49836060,50017423,51179648,51434225,51990084,52561004,52795903,53158464,53278796,53978535,54497825,54888194,55230223,55430444,55908236,56204790,56624684,56838936,57577104,57981849,58386345,58390568,59010764,59730943,59803272,59890639,59951776,60771962,61324663,61631756,61642543,61721070,62278768,62489049,63059756,63227623,63422345,63859639,63878145,63943803,64017463,64648039,64741789,64774242,65397390,65655368,65689389,65725053,65835808,66341373,66845983,67278681,67336844,67445748,67627543,67665400,67884333,68136688,68324474,68557256,68760236,69289385,69348962,69708524,69757216,70063614,70116439,71053562,71603564,71734394,72313676,72758553,73051953,73815223,73862289,73949073,74065284,74121583,74391725,74678636,75496639,75801896,76106814,76123575,76653774,77126913,77169343,77276396,77512364,77984204,78380383,78476868,78977825,79285639,79436263,79634636,81198480,81205562,81518924,82213634,82225004,82284439,83147262,83165996,83624503,84298893,84366463,84397208,84476456,84999993,85277133,85281356,85402183,86232962,86611712,86617325,86728639,87463039,88097804,88142649,88341943,89151545,89270070,89566562,89655439,90207116,90603350,91272345,91348290,91831639,92313836,92488270,93878714,94552809,94570568,94773390,94946859,95036013,95221408,95517033,95585804,97357168,97438176,97697263,98385356,99672439,...,734739545140855120401155030447701592740154348238918524891359597012568087282561095998003697552378067126926240805315862126054197507132709726092322883219222987811765913591651594370464462735116534126048172565246970213998041348655304472056398903640982085960918258749774721555205393452434917500871946076614347947187075661423280042653472363016532014475744091333543149455310267929642743951198775863198668050901694007268981073013638803932689647766709300209392263000728878141585545001734378174562103084574633597392758090573497867580967732501435227308804841650179051404647267641039958117643602845537327973833707587061024559280879910583920120915379005245003833430128406452735235137264904203675270026914297856919795193982780041613382022053491844587528095585254056726884510702412635236340936806832164505080503397761258640820233383435967077067507434029106900366900479475568643657610760273091954770398288438115262545312624142355379475222091441788510895682544660072290312533260720615385247241049700322873149265508578922980933509241066343560206721231905379255132000401328917959374446746593631558802696664601954105472255152056501337354082665733056578226945708745433371332278659782802893331534366825052504518687758064770839954172596023959506524848379974462450275647789548926347896599984063238219929268494594203813368005527032582857282345504255965778722833234594690778167561629895556904149492782433470464758339989254642496719654512394242806761977968154394271237293554941208458360508271847064908204393715940065502773876029265206618990650421244573817725631645621642278876206587849993287680319097395226804277185337061400322056039043426014792291702742192512962326624477919601748974260344672322539518849007210163384392718315302913008181495233558779646182928760025761165164978134106326058605612458804647728425894618488080357525584271070486837562471325134218540527397282400990751406292097325160235162816271839334743130689337065488165263200352483851758896572137379418718869696470264506418972966533332073314206679306466745782111528762773323457311046076150963942597644929487366613251243974648155373997554736676464585776484009853323056422082449605524563701618579611131109831414355950913861569093921743563952601114037605165029145987389703677556968973668212412527936132499791877219221149301330097257497036453487081063490492661862671196117468195153561945893411993127584795932097044913068799065052619217112162299137966795305352953911885244543796957304995303902903497042949716004360796209217048081990165025130647149577652561529792021128111788123854674508720748016785941903130843933387756924165274532174522551467697021654525655328069832900126730804037932795325913045032008608729280014085706824666505323260623087671485842750138765410696703245286368181361161238547869989107532713753159630418254728323154379397508498213605578089593574271709182322347665955827150084690317659657542137110447069117855648993415173735028788118471761085200412779032705858961338223123174962691791797967566138864163187743889052042267011444247693378599531698722797736816486495764898712679103257933731158651453887557384792139732291028622850211434368472644910194025776555987620659261586100646092530527384304608548560671633152323401664287008301627093655686366828402590767070858282465749451874903325025507626864121101535973569495583210888436347735875294720661382290238434247207668994556504935849735032528776013398683831587723414278407447192037344325852530127405194853816138572279841424858516423093052877237155655589259586778310505807991485866510687064648062097044649380817833067761767508997007026120985309714671674369813538444668117531327655042277054576202219275079858784882600023720730016895020923637477286683437985238003540777811751477114982008168350772669534863091634943339999092032368142336442994488511164314457441516195794810778218711075837839293630595814315172633141058133773436331156639319774619984186849945005198214914634404902770518040711859680813173831830774342861948386876668710340076086793685473556099724636418019472033617588468383673911966063339476280389529721221250989187607182528133576385364197074289964808389674081528817513299901102735653674247364624209056467690627892907147857490761223270501990589629958389345474213437522247097701010811221754488990513192312856656228904388227634311365662290313282685195738489677226265757145657798848320924438586081280100991796522378862354002874542623248978303305577315929992932640496400070447268370070363785615766857525144028650895468751835192222978790187447321727342832905392775647198299318063003075874871623277495864680676227280669391417863990909263043836948744950107469464542746581786471186767774708381115661501767749792408632197596772264636377411359595932933201108560638874747223751046228374877371267130000267483073728539280894366393876642779462966059108304061916548872925437918996955714380896071442136237517256542289132077793868628205497356889083506746220701683121803323889328204685268622954585510898948985908804}
30785 3107651145213423382516271186052138952767061246654294506725226357187858571143019338182880: {123124,1077055,1292466,1538650,1753491,1846380,1969472,2215656,2492613,2614855,3137826,3537055,3722323,4244466,5598866,5751559,7276611,7998380,8142655,8181362,9475004,9598056,9771186,10288855,10395866,10797813,11208055,11687660,12346626,12739255,12778131,13449666,13535720,13875843,14025192,14640332,15227685,15261379,15287106,15778341,15798655,15885859,16242864,16715695,17593004,18273222,18958386,19119247,20058834,20075095,20443971,20608423,20914760,20989911,20990455,21416719,21688639,21801970,22610805,22631059,22820095,22972579,23529105,23556871,23979043,24090114,24118192,25097712,25188546,25841407,26162364,26917625,27132966,27313210,27384114,28234926,28610391,29772776,30927991,30983770,31378466,31843159,32301150,32732359,32775852,32817970,33113431,33494373,33950882,34071055,34352786,34422547,34454560,34568211,34677655,34750243,36799495,37051279,37180524,38111623,38299111,38313895,38453750,38761380,39036223,39381564,39865474,40129855,40271023,40436732,40885266,41215327,41339695,41345472,41613186,41663971,41983305,42113091,43153255,43202162,44156563,44159394,44740099,44782192,44826380,45976674,46144500,46169959,46513656,46582519,47190511,47379295,47476371,47680855,48155826,48501260,49081143,49220800,49607634,49734069,49980125,50379966,50393095,50576479,51091747,51526831,51611743,51751443,51783906,51874807,52327863,52457804,52522567,53102095,53484626,53703655,53791656,54416343,54493922,55344826,55373400,55480791,55772359,56038114,56855154,57217026,57448447,57606332,57766760,58135484,58138131,58201512,58262906,59064960,59110495,59153119,59207225,59619602,59628727,59976150,59987599,60471714,60515613,60790071,60910663,61037564,61598242,62295075,62378643,63002624,63722514,63974560,64444386,64987605,65476701,65509964,65701255,66260359,66326659,66401506,66448080,66598495,66994087,68150962,68228599,69239991,69288055,69320112,69885295,69940231,70281007,70780855,70877952,70932594,71048670,71169554,71189911,71225503,71339599,71971380,72988210,73035514,73763455,73847557,73916899,73968771,74754090,74863666,74939720,75785248,76769472,77039695,77309132,77848460,77985126,78154562,78824695,78841506,78916483,79656751,79737696,79918194,80588479,82069210,82294760,82332291,82749247,83145666,83318732,83707282,83862354,84171055,84269719,84307185,84581750,84937026,85170860,85187522,85258404,85696570,85950295,86271559,86365656,86893274,87135655,87196520,87585852,87633404,87950959,88455164,88516146,89504455,89704908,89927664,90392095,90512444,91157943,91556899,91798303,92291203,92447634,92502631,92581605,92828602,92924359,93348295,93418152,93638563,94253863,94589634,94752370,94918483,95103847,95386466,96582979,96595495,96890455,97011404,97161363,97402604,97480255,97696946,98096085,98483052,98598764,98753712,99159343,99283519,99543295,...,1102109317711282680601732545671552389110231522358377787337039395518852130923841643997005546328567100690389361207973793189081296260699064589138484324828834481717648870387477391555696694102674801189072258847870455320997062022982956708084598355461473128941377388124662082332808090178652376251307919114921521920780613492134920063980208544524798021713616137000314724182965401894464115926798163794798002076352541010903471609520458205899034471650063950314088394501093317212378317502601567261843154626861950396089137135860246801371451598752152840963207262475268577106970901461559937176465404268305991960750561380591536838921319865875880181373068507867505750145192609679102852705897356305512905040371446785379692790974170062420073033080237766881292143377881085090326766053618952854511405210248246757620755096641887961230350075153950615601261151043660350550350719213352965486416140409637932155597432657172893817968936213533069212833137162682766343523816990108435468799891080923077870861574550484309723898262868384471400263861599515340310081847858068882698000601993376939061670119890447338204044996902931158208382728084752006031123998599584867340418563118150056998417989674204339997301550237578756778031637097156259931258894035939259787272569961693675413471684323389521844899976094857329893902741891305720052008290548874285923518256383948668084249851892036167251342444843335356224239173650205697137509983881963745079481768591364210142966952231591406855940332411812687540762407770597362306590573910098254160814043897809928485975631866860726588447468432463418314309881774989931520478646092840206415778005592100483084058565139022188437554113288769443489936716879402623461390517008483809278273510815245076589077472954369512272242850338169469274393140038641747747467201159489087908418688206971592638841927732120536288376406605730256343706987701327810791095923601486127109438145987740352744224407759002114696034005598232247894800528725777638344858206069128078304544705396759628459449799998109971310018959700118673167293144159985185966569114226445913896467394231049919876865961972233060996332105014696878664726014779984584633123674408286845552427869416696664747121533926370792353640882615345928901671056407747543718981084555516335453460502318618791904198749687815828831723951995145886245554680230621595235738992794006794176202292730342918840117989691377193898145567369603198597578928825668243448706950192958029430867827866815695435957492955854355245564424574006541194313825572122985247537695970724366478842294688031692167682185782011763081122025178912854696265900081635386247911798261783827201545532481788482992104749350190096206056899192988869567548012913093920021128560236999757984890934631507228764125208148116045054867929552272041741857821804983661299070629739445627382092484731569096262747320408367134390361407563773483521498933740725127035476489486313205665670603676783473490122760602543182177707641627800619168549058788442007334684762444037687696951349208296244781615833578063400517166371540067899297548084196605224729743647348069018654886900596737977180831336077188209598436542934275317151552708967365291038664833981430988892379150969138795791076456912822841007449728485102496430512452440640483529550242603886150606287423698624177812354987538261440296181652303960354243374816332654521603812942080992073435357651370811503491834757403774602548793164020098025747381585121417611170788056016488778795191107792280724207858419762137287774634639579315855733483383889380167465758711987228799766030596972093145566974071226749601642651263495510539181477964572007511554720307667002176296991482563415581864303328912619788177323900035581095025342531385456215930025156977857005311166717627215672473012252526159004302294637452415009998638048552213504664491732766746471686162274293692216167328066613756758940445893721472758949711587200660154496734958979661929976280274917507797322371951607354155777061067789521219760747746161514292922580315003065510114130190528210334149586954627029208050426382702575510867949095009214420584294581831876483781410773792200364578046295611434947212584511122293226269949851654103480511371046936313584701535941839360721786236141834905752985884444937584018211320156283370646551516216832631733485769788469284984343356582341451467048493435469924027793607734515839398635718486698272481386657879121920151487694783568293531004311813934873467454958365973894989398960744600105670902555105545678423650286287716042976343203127752788334468185281170982591014249358089163470797448977094504613812307434916243797021014340921004087126795986363894565755423117425161204196814119872679706780151662062571673492252651624688612948296395158396954566117039393899399801662840958312120835626569342562316056900695000401224610592808921341549590814964169194449088662456092874823309388156878495433571571344107163204356275884813433698116690802942308246035333625260119331052524682704985833992307027902934431878266348423478863206}
30786 3117180728794594952056964058197021354328792189344807409914222928057845369113171187728066: {153905,184686,400049,677006,707549,891953,1723288,1812893,1938699,2242049,2307975,2337988,2425853,2461840,2548349,2732033,2769570,2954208,2976833,3323484,3343793,4183768,4198913,4361246,4564913,4706739,5659288,5904449,6366699,6564878,6931646,6936893,6997553,7118849,7845953,8209073,8398299,8450993,8934449,9658673,9702148,9997975,10261313,10923293,11644349,11686526,11843755,11997570,12064433,12272043,12723773,12797408,13028248,13322333,13872878,14039549,14158973,14212506,14397084,14517053,14609575,14656779,15593799,16462168,16919650,17015549,17037508,17531490,17867726,17932888,18082013,18300415,18501124,18519939,18614273,18700256,19316078,19499933,19676849,20174499,20266049,20303580,20382808,20383793,20560349,21037788,21103418,21484286,21657152,21852893,21960498,21991255,22204733,22731953,22930659,23200049,23901233,24364296,24776093,25125533,25277848,25707293,26051179,26143450,26389506,26745112,26882126,27100253,27258628,27409833,27447773,27957806,27986548,28430849,28437579,28834973,29296349,29699633,29747726,30088251,30147740,30734849,31372140,31595549,31767473,32120152,32702955,32740349,33140273,33311549,33463616,33584728,34166849,34883152,35134013,35451278,35872049,35985473,36135171,36177288,36512152,36891713,37174493,37215970,37646568,37782819,38147188,38416349,38997278,39184418,39243546,40699449,40969815,41076171,41112413,41783549,42230333,42352389,42453533,42620849,42788093,43068200,43456349,43623233,43701136,43901213,44659164,45121949,46090948,46117853,46397006,46475655,46890653,47056049,47067699,47221373,48266753,48431549,48451725,49163778,49226955,49574032,49692593,50075549,50545915,50894849,50926323,51058493,51294878,51529179,51548993,51643646,51681840,52508752,54262193,54428606,54513688,55072253,55127296,55484248,55770786,55977740,56032975,56150788,56203313,56511278,56848049,57009053,57384449,57491633,57680625,58142070,58294493,58879192,59072346,59255549,59788349,59798211,59948033,60214013,60626575,60655098,61010753,61222913,61302232,61327899,61350686,61381949,61526000,62018208,62334653,62419779,63072206,63073853,63232049,63301828,63864113,63916733,64207768,64705073,64803243,64810049,65177213,65334449,65441524,65572255,65753393,66143512,66239091,66312092,66537533,66746333,67007153,67173288,67239570,67528193,67684349,67944449,68100413,68215166,68965011,69001924,69045208,69086513,69216750,69770484,69862973,70121393,70792349,71722208,71966078,72007915,72181553,72208450,72233739,72555124,72669355,72751890,73831200,73974388,74411451,74891549,75247793,75502013,75552833,75569949,75699566,75806813,75806872,76289368,76296955,76567553,76714766,77517508,77528573,77602016,77675859,78083633,78436349,78686706,78753280,78838973,79190849,79441949,79968200,80089406,80226939,80628952,80687484,80762606,80944349,81053428,81740883,81842333,81887455,82439549,82588673,83017239,83060100,83171524,83828573,83927549,84057171,84273713,84570113,84963352,85124366,85282731,85556033,85825539,85925848,86409498,86650140,86795486,87129278,87203226,87302268,87394359,87518273,88348349,88597440,88791283,89429403,89661953,89710493,89964225,90679613,90707571,90791486,90873053,91404353,91556346,92127293,92319988,92397363,92426816,92450366,92848433,93674650,94285313,94476353,94503936,94576792,94731560,95427278,95583771,95961840,96142493,96284849,96616733,96636415,96666579,97005139,97310575,98034653,98264946,98625028,98881949,99257693,99602259,99672120,99679793,...,1653163976566924020902598818507328583665347283537566681005559093278278196385762465995508319492850651035584041811960689783621944391048596883707726487243251722576473305581216087333545041154012201783608388271805682981495593034474435062126897533192209693412066082186993123499212135267978564376961878672382282881170920238202380095970312816787197032570424205500472086274448102841696173890197245692197003114528811516355207414280687308848551707475095925471132591751639975818567476253902350892764731940292925594133705703790370202057177398128229261444810893712902865660456352192339905764698106402458987941125842070887305258381979798813820272059602761801258625217788914518654279058846034458269357560557170178069539186461255093630109549620356650321938215066821627635490149080428429281767107815372370136431132644962831941845525112730925923401891726565490525825526078820029448229624210614456898233396148985759340726953404320299603819249705744024149515285725485162653203199836621384616806292361825726464585847394302576707100395792399273010465122771787103324047000902990065408592505179835671007306067495354396737312574092127128009046685997899377301010627844677225085497626984511306509995952325356368135167047455645734389896888341053908889680908854942540513120207526485084282767349964142285994840854112836958580078012435823311428885277384575923002126374777838054250877013667265003034336358760475308545706264975822945617619222652887046315214450428347387110283910498617719031311143611655896043459885860865147381241221065846714892728963447800291089882671202648695127471464822662484897280717969139260309623667008388150724626087847708533282656331169933154165234905075319103935192085775512725713917410266222867614883616209431554268408364275507254203911589710057962621621200801739233631862628032310457388958262891598180804432564609908595384515560481551991716186643885402229190664157218981610529116336611638503172044051008397348371842200793088666457517287309103692117456817058095139442689174699997164956965028439550178009750939716239977778949853671339668870844701091346574879815298942958349591494498157522045317997089022169976876949685511612430268328641804125044997120682300889556188530461323923018893352506584611621315578471626833274503180190753477928187856298124531723743247585927992718829368332020345932392853608489191010191264303439095514378260176984537065790847218351054404797896368393238502365173060425289437044146301741800223543153936239433781532868346636861009811791470738358184477871306543956086549718263442032047538251523278673017644621683037768369282044398850122453079371867697392675740802318298722682724488157124025285144309085348789483304351322019369640880031692840355499636977336401947260843146187812222174067582301894328408062612786732707475491948605944609168441073138727097353644394120980612550701585542111345660225282248400611087690553214734229469808498505905515175210235184140903814773266561462441700928752823588182663011002027143666056531545427023812444367172423750367095100775749557310101848946322126294907837094615471022103527982330350895106965771247004115782314397654814401412975727329063451047936557997250972146483338568726453708193686614685369234261511174592727653744645768678660960725294325363905829225909431135547936266718532481307392160444272478455940531365062224498981782405719413121488110153036477056217255237752136105661903823189746030147038621072377682126416756182084024733168192786661688421086311787629643205931661951959368973783600225075834070251198638067980843199649045895458139718350461106840124402463976895243265808772216946858011267332080461500503264445487223845123372796454993368929682265985850053371642538013797078184323895037735466785507966750076440823508709518378789238506453441956178622514997957072828320256996737599150119707529243411440538324250992099920635138410668840582209138424567380800990231745102438469492894964420412376261695983557927411031233665591601684281829641121619242271439383870472504598265171195285792315501224380431940543812075639574053863266301923642513821630876441872747814725672116160688300546867069443417152420818876766683439839404924777481155220767056570404470377052303912759041082679354212752358629478826667406376027316980234425055969827274325248947600228654682703927476515034873512177200572740153204886041690411601773759097953577730047408722079986818682880227231542175352440296506467720902310201182437548960842484098441116900158506353832658318517635475429431574064464514804691629182501702277921756473886521374037133745206196173465641756920718461152374365695531521511381506130690193979545841848633134676137741806295221179809019560170227493093857510238378977437032919422444592737595431849175559090849099702494261437468181253439854013843474085351042500601836915889213382012324386222446253791673632993684139312234964082235317743150357357016160744806534413827220150547175036204413462369053000437890178996578787024057478750988460541854401647817399522635218294809}
30787 3126739366474350865450085124119508762414994047342196332290023176685539795017247139512917: {246248,277029,1015509,1507877,2154110,2584932,2922485,3077300,3506982,3660797,3692760,3938944,4154355,4399109,4431312,4951877,4985226,5229710,6275652,6428213,6541869,6797297,7074110,7444646,8488932,9847317,10397469,11197732,11399717,11503118,12127685,14404397,14553222,15691277,15996760,16285310,16362724,17529789,17834957,17996355,18774197,18950008,19196112,19542372,20577710,20791732,20809317,21296885,21318759,21595626,22118117,22416110,22461437,23126405,23375320,23401973,23936333,24355409,24654509,24693252,25379475,25478510,25556262,26148677,26297235,26675693,26745797,26801589,26899332,27071440,27623573,27751686,28050384,28105133,28338869,28974117,29280664,29386637,30455370,30522758,30574212,31556682,31597310,31655127,31771718,31948133,32226429,32485728,32940747,33431390,34073285,34970717,34983185,35186008,35589413,36546444,37684675,37916772,38094977,38238494,38683697,39215175,39584259,40117668,40150190,40323189,40887942,40940429,41068469,41216846,41410253,41829520,41936709,41979822,41980910,42046097,42816653,42833438,43076309,43377278,43603940,44621589,45041009,45221610,45262118,45640190,45945158,46064189,46843973,47058210,47113742,47304077,47683985,47699477,47958086,48180228,48236384,48548717,48854837,50195424,50377092,50445029,51519293,51682814,52185029,52324728,53176917,53392517,53639453,53835250,54129389,54265932,54302993,54564497,54626420,54768228,55823955,56144813,56181797,56469852,56526653,56814833,57220782,57613685,57875573,58495917,58776627,58865319,59545552,60196817,60414557,61855982,61967540,62038637,62333813,62756932,63686318,63741053,64602300,65464718,65551704,65635940,66158237,66226862,66331013,66753197,66933053,66988746,67901764,68142110,68705572,68845094,68909120,69136422,69265073,69355310,69500486,69595509,69972175,70188485,70550333,71985329,72381053,72635909,73598990,73745667,74102558,74342933,74361048,74946509,75127973,75185117,76223246,76255493,76598222,76627790,76907500,76942317,77465469,77522760,78072446,78307697,78763128,79127285,79730948,79732493,80259710,80542046,80873464,81642909,81770532,81801905,82430654,82679390,82690944,82754693,82858577,82890115,83226372,83327942,83656179,83966610,84226182,84766917,86249393,86252405,86306510,86404324,87213105,88313126,88318788,88380437,88608519,89480198,89490677,89564384,89651333,89652760,90693905,90982647,91953348,91981757,92026029,92289000,92339918,92467985,93027312,93165038,93237893,94381022,94608309,94758590,94924709,94952742,95361710,96276269,96311652,96881489,96896885,97002520,97003277,97839413,98162286,98441600,99093197,99215268,99468138,99960250,...,2204218635422565361203465091343104778220463044716755574674078791037704261847683287994011092657134201380778722415947586378162592521398129178276968649657668963435297740774954783111393388205349602378144517695740910641994124045965913416169196710922946257882754776249324164665616180357304752502615838229843043841561226984269840127960417089049596043427232274000629448365930803788928231853596327589596004152705082021806943219040916411798068943300127900628176789002186634424756635005203134523686309253723900792178274271720493602742903197504305681926414524950537154213941802923119874352930808536611983921501122761183073677842639731751760362746137015735011500290385219358205705411794712611025810080742893570759385581948340124840146066160475533762584286755762170180653532107237905709022810420496493515241510193283775922460700150307901231202522302087320701100701438426705930972832280819275864311194865314345787635937872427066138425666274325365532687047633980216870937599782161846155741723149100968619447796525736768942800527723199030680620163695716137765396001203986753878123340239780894676408089993805862316416765456169504012062247997199169734680837126236300113996835979348408679994603100475157513556063274194312519862517788071878519574545139923387350826943368646779043689799952189714659787805483782611440104016581097748571847036512767897336168499703784072334502684889686670712448478347300411394275019967763927490158963537182728420285933904463182813711880664823625375081524815541194724613181147820196508321628087795619856971951263733721453176894936864926836628619763549979863040957292185680412831556011184200966168117130278044376875108226577538886979873433758805246922781034016967618556547021630490153178154945908739024544485700676338938548786280077283495494934402318978175816837376413943185277683855464241072576752813211460512687413975402655621582191847202972254218876291975480705488448815518004229392068011196464495789601057451555276689716412138256156609089410793519256918899599996219942620037919400237346334586288319970371933138228452891827792934788462099839753731923944466121992664210029393757329452029559969169266247348816573691104855738833393329494243067852741584707281765230691857803342112815495087437962169111032670906921004637237583808397499375631657663447903990291772491109360461243190471477985588013588352404585460685837680235979382754387796291134739206397195157857651336486897413900385916058861735655733631390871914985911708710491128849148013082388627651144245970495075391941448732957684589376063384335364371564023526162244050357825709392531800163270772495823596523567654403091064963576965984209498700380192412113798385977739135096025826187840042257120473999515969781869263014457528250416296232090109735859104544083483715643609967322598141259478891254764184969463138192525494640816734268780722815127546967042997867481450254070952978972626411331341207353566946980245521205086364355415283255601238337098117576884014669369524888075375393902698416592489563231667156126801034332743080135798595096168393210449459487294696138037309773801193475954361662672154376419196873085868550634303105417934730582077329667962861977784758301938277591582152913825645682014899456970204992861024904881280967059100485207772301212574847397248355624709975076522880592363304607920708486749632665309043207625884161984146870715302741623006983669514807549205097586328040196051494763170242835222341576112032977557590382215584561448415716839524274575549269279158631711466966767778760334931517423974457599532061193944186291133948142453499203285302526991021078362955929144015023109440615334004352593982965126831163728606657825239576354647800071162190050685062770912431860050313955714010622333435254431344946024505052318008604589274904830019997276097104427009328983465533492943372324548587384432334656133227513517880891787442945517899423174401320308993469917959323859952560549835015594644743903214708311554122135579042439521495492323028585845160630006131020228260381056420668299173909254058416100852765405151021735898190018428841168589163663752967562821547584400729156092591222869894425169022244586452539899703308206961022742093872627169403071883678721443572472283669811505971768889875168036422640312566741293103032433665263466971539576938569968686713164682902934096986870939848055587215469031678797271436973396544962773315758243840302975389567136587062008623627869746934909916731947789978797921489200211341805110211091356847300572575432085952686406255505576668936370562341965182028498716178326941594897954189009227624614869832487594042028681842008174253591972727789131510846234850322408393628239745359413560303324125143346984505303249377225896592790316793909132234078787798799603325681916624241671253138685124632113801390000802449221185617842683099181629928338388898177324912185749646618776313756990867143142688214326408712551769626867396233381605884616492070667250520238662105049365409971667984614055805868863756532696846957726412}
30788 3136327146323240777218887449635813400095036723698066481211603801968542102107269871957469: {215467,307810,369372,800098,953467,1354012,1415098,1783906,1874347,3231165,3446576,3625786,3846625,3877398,3893947,4260211,4484098,4615950,4626187,4675976,4809067,4851706,4923680,5096698,5260473,5464066,5539140,5908416,5953666,6451747,6646968,6687586,6998011,7477839,7844565,8270107,8367536,8397826,8722492,9129826,9413478,10611165,11166969,11318576,11808898,12065227,12733398,12784507,13129756,13863292,13873786,13995106,13997165,14237698,15691906,16418146,16541827,16581257,16796598,16901986,17254677,17431747,17868898,18142387,18319867,18674611,19317346,19404296,19995950,20453405,20522626,20797027,21829833,21846586,23288698,23373052,23687510,23995140,24128866,24427965,24544086,24836011,25447546,25594816,25620581,25989665,26056496,26644666,27102067,27745756,27970387,28079098,28317946,28425012,28794168,29034106,29219150,29313558,30787757,30866565,31187598,32393439,32924336,33142507,33624165,33839300,34031098,34075016,35062980,35533987,35735452,35865776,36164026,36600830,37002248,37039878,37228546,37400512,38217765,38334393,38632156,38999866,39353698,40348998,40532098,40607160,40765616,40767586,41115211,41120698,41627529,42075576,42206836,42968572,43314304,43705786,43920996,43982510,44409466,45463906,45683055,45784137,45789307,45861318,46121011,46400098,46618027,46949011,47279707,47335023,47395965,47657577,47802466,48270067,48728592,49552186,50147085,50251066,50555696,51414586,52102358,52286900,52779012,53490224,53764252,53833147,53995507,54200506,54320011,54504925,54517256,54819666,54895546,55915612,55973096,56260987,56861698,56875158,57357741,57549211,57669946,58031107,58352011,58592698,59399266,59495452,60176502,60225285,60295480,61068067,61331913,61469698,61825269,61862947,62744280,62969733,62971365,63191098,63534946,63921211,64236787,64240304,64250157,65065917,65405910,65480698,65810347,66280546,66594427,66623098,66927232,67169456,67532947,67832415,67893177,68283025,68333698,68460285,68917737,69091387,69766304,70268026,70587315,70670613,70764281,70902556,71744098,71937129,71970946,72270342,72354576,73024304,73783426,74348986,74431940,75253147,75293136,75558211,75565638,76015267,76294376,76319611,76623667,76832698,77459425,77524221,77994556,78139627,78368836,78446165,78487092,80550187,80752875,81398898,81939630,82044925,82152342,82224826,82644307,83567098,84279787,84460666,84576211,84704778,84877205,84907066,85241698,85576186,85831173,85881965,86136400,86912698,87246466,87402272,87802426,89318328,89717011,90243898,90734587,90879667,91459267,91801157,92181896,92182147,92235706,92783973,92794012,92903227,92951310,93781306,94112098,94135398,94442746,95529477,95769547,95912107,96134375,96197011,96533506,96623827,96863098,96903450,98197077,98327556,98453910,99148064,99340293,99385186,99663685,...,3306327953133848041805197637014657167330694567075133362011118186556556392771524931991016638985701302071168083623921379567243888782097193767415452974486503445152946611162432174667090082308024403567216776543611365962991186068948870124253795066384419386824132164373986246998424270535957128753923757344764565762341840476404760191940625633574394065140848411000944172548896205683392347780394491384394006229057623032710414828561374617697103414950191850942265183503279951637134952507804701785529463880585851188267411407580740404114354796256458522889621787425805731320912704384679811529396212804917975882251684141774610516763959597627640544119205523602517250435577829037308558117692068916538715121114340356139078372922510187260219099240713300643876430133643255270980298160856858563534215630744740272862265289925663883691050225461851846803783453130981051651052157640058896459248421228913796466792297971518681453906808640599207638499411488048299030571450970325306406399673242769233612584723651452929171694788605153414200791584798546020930245543574206648094001805980130817185010359671342014612134990708793474625148184254256018093371995798754602021255689354450170995253969022613019991904650712736270334094911291468779793776682107817779361817709885081026240415052970168565534699928284571989681708225673917160156024871646622857770554769151846004252749555676108501754027334530006068672717520950617091412529951645891235238445305774092630428900856694774220567820997235438062622287223311792086919771721730294762482442131693429785457926895600582179765342405297390254942929645324969794561435938278520619247334016776301449252175695417066565312662339866308330469810150638207870384171551025451427834820532445735229767232418863108536816728551014508407823179420115925243242401603478467263725256064620914777916525783196361608865129219817190769031120963103983432373287770804458381328314437963221058232673223277006344088102016794696743684401586177332915034574618207384234913634116190278885378349399994329913930056879100356019501879432479955557899707342679337741689402182693149759630597885916699182988996315044090635994178044339953753899371023224860536657283608250089994241364601779112377060922647846037786705013169223242631156943253666549006360381506955856375712596249063447486495171855985437658736664040691864785707216978382020382528606878191028756520353969074131581694436702108809595792736786477004730346120850578874088292603483600447086307872478867563065736693273722019623582941476716368955742613087912173099436526884064095076503046557346035289243366075536738564088797700244906158743735394785351481604636597445365448976314248050570288618170697578966608702644038739281760063385680710999273954672803894521686292375624444348135164603788656816125225573465414950983897211889218336882146277454194707288788241961225101403171084222691320450564496801222175381106429468458939616997011811030350420470368281807629546533122924883401857505647176365326022004054287332113063090854047624888734344847500734190201551499114620203697892644252589815674189230942044207055964660701790213931542494008231564628795309628802825951454658126902095873115994501944292966677137452907416387373229370738468523022349185455307489291537357321921450588650727811658451818862271095872533437064962614784320888544956911881062730124448997963564811438826242976220306072954112434510475504272211323807646379492060294077242144755364252833512364168049466336385573323376842172623575259286411863323903918737947567200450151668140502397276135961686399298091790916279436700922213680248804927953790486531617544433893716022534664160923001006528890974447690246745592909986737859364531971700106743285076027594156368647790075470933571015933500152881647017419036757578477012906883912357245029995914145656640513993475198300239415058486822881076648501984199841270276821337681164418276849134761601980463490204876938985789928840824752523391967115854822062467331183203368563659282243238484542878767740945009196530342390571584631002448760863881087624151279148107726532603847285027643261752883745495629451344232321376601093734138886834304841637753533366879678809849554962310441534113140808940754104607825518082165358708425504717258957653334812752054633960468850111939654548650497895200457309365407854953030069747024354401145480306409772083380823203547518195907155460094817444159973637365760454463084350704880593012935441804620402364875097921684968196882233800317012707665316637035270950858863148128929029609383258365003404555843512947773042748074267490412392346931283513841436922304748731391063043022763012261380387959091683697266269352275483612590442359618039120340454986187715020476757954874065838844889185475190863698351118181698199404988522874936362506879708027686948170702085001203673831778426764024648772444892507583347265987368278624469928164470635486300714714032321489613068827654440301094350072408826924738106000875780357993157574048114957501976921083708803295634799045270436589618}
30789 3145944156677239384112413597537224656456809804123791791375313359324590215693678268629778: {461715,492496,554058,1200147,1692515,2031018,2122647,2675859,3015754,4091479,4308220,5169864,5198947,5438679,5816097,5844970,6154600,6726147,6923925,7013964,7277559,7321594,7385520,7596979,7645047,7877888,8196099,8308710,8798218,8862624,8930499,9903754,9970452,10031379,10459420,10903115,12551304,12596739,12856426,13083738,13594594,13694739,14120217,14148220,14889292,16412195,16977864,16978759,17329115,17713347,19100097,19694634,20794938,20810679,20992659,21356547,22395464,22799434,23006236,23537859,23982167,24255370,24627219,25103959,25194897,25352979,26803347,28808794,28976019,29106444,29137147,29216315,29528647,29815639,29993925,30044531,30783939,30805139,31382554,31525819,31993520,32376967,32570620,32725448,32769879,34082147,34682195,34933047,35059578,35531265,35669914,35992710,36099767,36193299,36816129,37439147,37548394,37900016,38171319,38392224,39084744,39084919,39966999,41155420,41583464,41618634,41669399,41861819,42118647,42299125,42476919,42576739,42593770,42637518,43191252,43302179,43551159,43828725,43970337,44236234,44669315,44832220,44922874,46252810,46750640,46781397,46803946,47196659,47702599,47872666,48290195,48710818,48976459,49309018,49386504,50601499,50758950,50957020,51046647,51112524,51618467,52297354,52594470,52662107,52758545,53351386,53491594,53603178,53710715,53798664,54142880,54246039,54901245,55247146,55361059,55503372,55559817,55842819,56100768,56210266,56677738,56769847,57948234,58048027,58499799,58561328,58773274,59030547,60523497,60798147,60910740,61045516,61148424,61151379,61681047,62795819,63113364,63188651,63194620,63310254,63498931,63543436,63896266,64452858,64971456,65358625,65558679,65881494,65973765,66614199,66757579,66862780,67205315,68146570,68195859,68791977,69600147,69894515,69941434,69966370,70372016,71178826,71703699,73092888,73839539,73941559,74236691,74328279,74369315,75369350,75376599,75833544,76189954,76446299,76476988,77121879,77367394,78153537,78430350,79102699,79161851,79168518,80235336,80287031,80300380,80646378,80659159,80896471,81300759,81775884,81880858,82136938,82229499,82343319,82433692,82820506,83659040,83873418,83959644,83961820,84092194,85292547,85312737,85633306,85666876,86152618,86504919,86754556,87207880,87889047,88573147,88628195,89098899,89243178,89300747,90082018,90264753,90276131,90443220,90524236,91280380,91890316,92128378,92197627,92204547,93039925,93094499,93687946,94116420,94227484,94266227,94608154,94786647,95302419,95367970,95398954,95916172,95926979,96360456,96472768,97097434,97493195,97709674,97961045,98108865,98221047,98263879,99420819,99934647,...,4959491929700772062707796455521985750996041850612700043016677279834834589157287397986524958478551953106752125435882069350865833173145790651123179461729755167729419916743648262000635123462036605350825164815417048944486779103423305186380692599576629080236198246560979370497636405803935693130885636017146848643512760714607140287910938450361591097711272616501416258823344308525088521670591737076591009343586434549065622242842061926545655122425287776413397775254919927455702428761707052678294195820878776782401117111371110606171532194384687784334432681138708596981369056577019717294094319207376963823377526212661915775145939396441460816178808285403775875653366743555962837176538103374808072681671510534208617559383765280890328648861069950965814645200464882906470447241285287845301323446117110409293397934888495825536575338192777770205675179696471577476578236460088344688872631843370694700188446957278022180860212960898811457749117232072448545857176455487959609599509864153850418877085477179393757542182907730121301187377197819031395368315361309972141002708970196225777515539507013021918202486063190211937722276381384027140057993698131903031883534031675256492880953533919529987856976069104405501142366937203169690665023161726669042726564827621539360622579455252848302049892426857984522562338510875740234037307469934286655832153727769006379124333514162752631041001795009103009076281425925637118794927468836852857667958661138945643351285042161330851731495853157093933430834967688130379657582595442143723663197540144678186890343400873269648013607946085382414394467987454691842153907417780928871001025164452173878263543125599847968993509799462495704715225957311805576257326538177141752230798668602844650848628294662805225092826521762611734769130173887864863602405217700895587884096931372166874788674794542413297693829725786153546681444655975148559931656206687571992471656944831587349009834915509516132153025192045115526602379265999372551861927311076352370451174285418328067524099991494870895085318650534029252819148719933336849561014019006612534103274039724639445896828875048774483494472566135953991267066509930630849056534837290804985925412375134991362046902668668565591383971769056680057519753834863946735414880499823509540572260433784563568894373595171229742757783978156488104996061037797178560825467573030573792910317286543134780530953611197372541655053163214393689105179715507095519181275868311132438905225400670629461808718301344598605039910583029435374412215074553433613919631868259649154790326096142614754569836019052933865049113305107846133196550367359238115603092178027222406954896168048173464471372075855432927256046368449913053966058108922640095078521066498910932009205841782529438563436666522202746905682985224187838360198122426475845817833827505323219416181292060933182362941837652104756626334036980675846745201833263071659644202688409425495517716545525630705552422711444319799684387325102786258470764547989033006081430998169594636281071437333101517271251101285302327248671930305546838966378884723511283846413066310583946991052685320897313741012347346943192964443204238927181987190353143809673991752916439450015706179361124581059844056107702784533523778182961233937306035982882175882976091717487677728293406643808800155597443922176481332817435367821594095186673496945347217158239364464330459109431168651765713256408316985711469569238090441115863217133046379250268546252074199504578359985065263258935362888929617794985855878106921350800675227502210753595914203942529598947137686374419155051383320520373207391930685729797426316650840574033801996241384501509793336461671535370118389364980106789046797957550160114927614041391234552971685113206400356523900250229322470526128555136367715519360325868535867544993871218484960770990212797450359122587730234321614972752976299761905415232006521746627415273702142402970695235307315408478684893261237128785087950673782233093700996774805052845488923364857726814318151611417513794795513585857376946503673141295821631436226918722161589798905770927541464892629325618243444177016348482064901640601208330251457262456630300050319518214774332443465662301169711213411131156911738277123248038062638257075888436480002219128081950940703275167909481822975746842800685964048111782429545104620536531601718220459614658125071234805321277293860733190142226166239960456048640681694626526057320889519403162706930603547312646882527452295323350700475519061497974955552906426288294722193393544414074887547505106833765269421659564122111401235618588520396925270762155383457123097086594564534144518392070581938637525545899404028413225418885663539427058680510682479281572530715136932311098758267333778212786295547526677272547299107482784312404543760319562041530422256053127501805510747667640146036973158667338761375020898981052417936704892246705953229451072071048482234419603241481660451641525108613240387107159001313670536989736361072172436252965381625563204943452198567905654884427}
30790 3155590486138541739987446362950288287873589767965078391316041657450957934562748179246379: {430934,523141,615620,738744,831087,1600196,1906934,2548681,2708024,2830196,3046527,3099589,3466501,3567812,3748694,4523631,5385275,6026821,6462330,6893152,7119781,7251572,7665289,7693250,7754796,7787894,8520422,8573029,8767455,8935621,8968196,9231900,9252374,9351952,9618134,9703412,9847360,10193396,10520946,10924729,10928132,10982391,11078280,11816832,11907332,12185989,12463065,12903494,13074275,13197327,13293936,13375172,13443721,13623109,13996022,14160841,14855631,14955678,15689130,15770149,16540214,16735072,16795652,17444984,17685275,17729161,17906821,18259652,18611615,18826956,19284639,19596031,19625607,19679461,20386501,20391891,21092389,21222330,21621049,22324921,22333938,22637152,22852069,23617796,24130454,25466796,25569014,25827001,26259512,27219769,27726584,27747572,27990212,27994330,28434661,28475396,28634767,28757795,28954249,29541951,30681529,31192407,31198309,31383812,32836292,33083654,33162514,33593196,33803972,34199151,34509354,34863494,35737796,35990341,36160441,36284774,36383055,36385531,36639734,37179529,37349222,38026789,38534281,38634692,38808592,39991900,40052869,40221241,40713275,40906810,40937567,41045252,41594054,41901001,42570889,43213191,43573561,43659666,43693172,43740421,45571129,46234681,46577396,46746104,47073831,47375020,47723461,47990280,48257732,48548041,48855930,49088172,49672022,50895092,51189632,51241162,51444275,51979330,52112992,52480969,52589367,53289332,53504871,53989065,54204134,54593989,55491512,55726729,55940774,56040275,56158196,56322591,56635892,56850024,56855941,57499621,57588336,58068212,58438300,58623289,58627116,59903161,61019269,61337509,61575514,61733130,62375196,62427951,63696275,63890655,63956277,64030921,64786878,64819141,65448421,65848672,66285014,66354351,66860089,67016581,67248330,67384311,67641829,67678600,68062196,68150032,69199909,69379215,70125960,70205919,71067974,71470904,71731552,71808999,72328052,72756169,73066227,73201660,73524229,73963527,74004496,74079756,74457092,74801024,75665221,76138425,76306895,76435530,76668786,77264312,77999732,78094789,78446031,78707396,78891705,78993275,79302661,79429295,79453321,80027079,80237391,80404767,80697996,80806021,81064196,81214320,81531232,81535172,81854089,82230422,82241396,82451401,82870719,83255058,83345209,83578475,83642569,83939641,84151152,84315399,84384709,84413672,85016607,85568389,85937144,86628608,86747461,86922351,87411572,87841992,87965020,88159911,88507429,88818932,89529289,90927812,91366110,91568274,91578614,91722636,92140729,92242022,92800196,93236054,93898022,94559414,94585669,94670046,94791930,94965381,95300809,95315154,95596235,95604932,95844399,96540134,96679287,97457184,97718821,98822241,99104372,...,6612655906267696083610395274029314334661389134150266724022236373113112785543049863982033277971402604142336167247842759134487777564194387534830905948973006890305893222324864349334180164616048807134433553087222731925982372137897740248507590132768838773648264328747972493996848541071914257507847514689529131524683680952809520383881251267148788130281696822001888345097792411366784695560788982768788012458115246065420829657122749235394206829900383701884530367006559903274269905015609403571058927761171702376534822815161480808228709592512917045779243574851611462641825408769359623058792425609835951764503368283549221033527919195255281088238411047205034500871155658074617116235384137833077430242228680712278156745845020374520438198481426601287752860267286510541960596321713717127068431261489480545724530579851327767382100450923703693607566906261962103302104315280117792918496842457827592933584595943037362907813617281198415276998822976096598061142901940650612812799346485538467225169447302905858343389577210306828401583169597092041860491087148413296188003611960261634370020719342684029224269981417586949250296368508512036186743991597509204042511378708900341990507938045226039983809301425472540668189822582937559587553364215635558723635419770162052480830105940337131069399856569143979363416451347834320312049743293245715541109538303692008505499111352217003508054669060012137345435041901234182825059903291782470476890611548185260857801713389548441135641994470876125244574446623584173839543443460589524964884263386859570915853791201164359530684810594780509885859290649939589122871876557041238494668033552602898504351390834133130625324679732616660939620301276415740768343102050902855669641064891470459534464837726217073633457102029016815646358840231850486484803206956934527450512129241829555833051566392723217730258439634381538062241926207966864746575541608916762656628875926442116465346446554012688176204033589393487368803172354665830069149236414768469827268232380557770756698799988659827860113758200712039003758864959911115799414685358675483378804365386299519261195771833398365977992630088181271988356088679907507798742046449721073314567216500179988482729203558224754121845295692075573410026338446485262313886507333098012720763013911712751425192498126894972990343711970875317473328081383729571414433956764040765057213756382057513040707938148263163388873404217619191585473572954009460692241701157748176585206967200894172615744957735126131473386547444039247165882953432737911485226175824346198873053768128190153006093114692070578486732151073477128177595400489812317487470789570702963209273194890730897952628496101140577236341395157933217405288077478563520126771361421998547909345607789043372584751248888696270329207577313632250451146930829901967794423778436673764292554908389414577576483922450202806342168445382640901128993602444350762212858936917879233994023622060700840940736563615259093066245849766803715011294352730652044008108574664226126181708095249777468689695001468380403102998229240407395785288505179631348378461884088414111929321403580427863084988016463129257590619257605651902909316253804191746231989003888585933354274905814832774746458741476937046044698370910614978583074714643842901177301455623316903637724542191745066874129925229568641777089913823762125460248897995927129622877652485952440612145908224869020951008544422647615292758984120588154484289510728505667024728336098932672771146646753684345247150518572823726647807837475895134400900303336281004794552271923372798596183581832558873401844427360497609855907580973063235088867787432045069328321846002013057781948895380493491185819973475718729063943400213486570152055188312737295580150941867142031867000305763294034838073515156954025813767824714490059991828291313281027986950396600478830116973645762153297003968399682540553642675362328836553698269523203960926980409753877971579857681649505046783934231709644124934662366406737127318564486476969085757535481890018393060684781143169262004897521727762175248302558296215453065207694570055286523505767490991258902688464642753202187468277773668609683275507066733759357619699109924620883068226281617881508209215651036164330717416851009434517915306669625504109267920937700223879309097300995790400914618730815709906060139494048708802290960612819544166761646407095036391814310920189634888319947274731520908926168701409761186025870883609240804729750195843369936393764467600634025415330633274070541901717726296257858059218766516730006809111687025895546085496148534980824784693862567027682873844609497462782126086045526024522760775918183367394532538704550967225180884719236078240680909972375430040953515909748131677689778370950381727396702236363396398809977045749872725013759416055373896341404170002407347663556853528049297544889785015166694531974736557248939856328941270972601429428064642979226137655308880602188700144817653849476212001751560715986315148096229915003953842167417606591269598090540873179236}
30791 3165266223576360939993201679187208524813764419862128927615995010326301551521522841300983: {646401,769525,923430,984992,1108116,2000245,2369521,2400294,2860401,3385030,3537745,4062036,4245294,4459765,5351718,5623041,5752681,6031508,7781521,8182958,8616440,8888773,9064465,9693495,10339728,10397894,10877358,11210245,11539875,11632194,11681841,11689940,12129265,12309200,12741745,12780633,13452294,13660165,13847850,13878561,14027928,14427201,14555118,14643188,14771040,14884165,15193958,15264361,15290094,15755776,15781419,16392198,16617420,16718965,17596436,17725248,17860998,17913841,19355241,19807508,19940904,20062758,20918840,20994033,20994565,21806230,22433517,22635481,22824565,22977073,23533695,24260761,24550873,24657721,24810321,25102608,25193478,25712852,26167476,27189188,27389478,28026361,28240434,28296440,28342561,28975561,29522245,29778584,31833495,31849381,32824390,33500907,33955728,33957518,34429273,34658230,34684465,34757041,34975273,34987765,35426694,35507173,35594245,36195681,36774529,37058521,38200194,38353521,39229765,39389268,40278901,40902841,41045365,41589876,41621358,41985318,41991495,42254965,42663361,42713094,43081921,44165209,44672245,44748841,44790928,45598868,46012472,46179001,46591621,47075718,47964334,48293365,48396553,48510740,48555073,49254438,49625481,49743771,49989875,50128201,50204209,50207918,50389794,50451601,50586373,50705958,51306565,51764031,52295241,52532833,53399473,53606694,53704921,54136441,54427161,54616465,54959601,55761913,56023833,57617588,57952038,58212888,58221745,58274294,58432630,58857649,58899781,59057294,59164681,59218775,59631278,59987850,60089062,60322165,61360215,61567878,61610278,62391081,62537041,62765108,63051638,63618865,63987040,64753934,64968613,65141240,65450896,65489499,65539758,66611665,66704581,67546489,67606273,67809673,68164294,68241961,68427001,69364390,69866094,70119156,70197745,70794865,71062530,71339828,71353573,71985420,72199534,72386598,72585265,73047875,73283895,73632258,73861963,74508033,74878294,74956321,75096788,75195001,75456721,75800032,76290841,76342638,76753189,76784448,76861743,77857993,77968995,78169488,78169838,78931921,79933998,80958889,81306201,82310840,83166928,83237268,83338798,83723638,83911161,84237294,84290569,84598250,84621289,84953838,85077745,85153478,85187540,85275036,86382504,86604358,87102318,87657450,87940674,88285681,88472468,89338630,89664440,89806069,89845748,90410065,90947329,91502075,91816261,92309281,92363271,92505620,92599695,93071365,93501280,93562794,93607892,93656881,94087441,94134661,94190641,94393318,94884673,94937161,95405198,95745332,96518281,96580390,96601873,97180317,97421636,97499665,97852321,97952918,98384245,98618036,98773008,99178741,99343369,99427521,...,9918983859401544125415592911043971501992083701225400086033354559669669178314574795973049916957103906213504250871764138701731666346291581302246358923459510335458839833487296524001270246924073210701650329630834097888973558206846610372761385199153258160472396493121958740995272811607871386261771272034293697287025521429214280575821876900723182195422545233002832517646688617050177043341183474153182018687172869098131244485684123853091310244850575552826795550509839854911404857523414105356588391641757553564802234222742221212343064388769375568668865362277417193962738113154039434588188638414753927646755052425323831550291878792882921632357616570807551751306733487111925674353076206749616145363343021068417235118767530561780657297722139901931629290400929765812940894482570575690602646892234220818586795869776991651073150676385555540411350359392943154953156472920176689377745263686741389400376893914556044361720425921797622915498234464144897091714352910975919219199019728307700837754170954358787515084365815460242602374754395638062790736630722619944282005417940392451555031079014026043836404972126380423875444552762768054280115987396263806063767068063350512985761907067839059975713952138208811002284733874406339381330046323453338085453129655243078721245158910505696604099784853715969045124677021751480468074614939868573311664307455538012758248667028325505262082003590018206018152562851851274237589854937673705715335917322277891286702570084322661703462991706314187866861669935376260759315165190884287447326395080289356373780686801746539296027215892170764828788935974909383684307814835561857742002050328904347756527086251199695937987019598924991409430451914623611152514653076354283504461597337205689301697256589325610450185653043525223469538260347775729727204810435401791175768193862744333749577349589084826595387659451572307093362889311950297119863312413375143984943313889663174698019669831019032264306050384090231053204758531998745103723854622152704740902348570836656135048199982989741790170637301068058505638297439866673699122028038013225068206548079449278891793657750097548966988945132271907982534133019861261698113069674581609971850824750269982724093805337337131182767943538113360115039507669727893470829760999647019081144520867569127137788747190342459485515567956312976209992122075594357121650935146061147585820634573086269561061907222394745083310106326428787378210359431014191038362551736622264877810450801341258923617436602689197210079821166058870748824430149106867227839263736519298309580652192285229509139672038105867730098226610215692266393100734718476231206184356054444813909792336096346928942744151710865854512092736899826107932116217845280190157042132997821864018411683565058877126873333044405493811365970448375676720396244852951691635667655010646438832362584121866364725883675304209513252668073961351693490403666526143319288405376818850991035433091051261411104845422888639599368774650205572516941529095978066012162861996339189272562142874666203034542502202570604654497343860611093677932757769447022567692826132621167893982105370641794627482024694693886385928886408477854363974380706287619347983505832878900031412358722249162119688112215405569067047556365922467874612071965764351765952183434975355456586813287617600311194887844352962665634870735643188190373346993890694434316478728928660918218862337303531426512816633971422939138476180882231726434266092758500537092504148399009156719970130526517870725777859235589971711756213842701601350455004421507191828407885059197894275372748838310102766641040746414783861371459594852633301681148067603992482769003019586672923343070740236778729960213578093595915100320229855228082782469105943370226412800713047800500458644941052257110272735431038720651737071735089987742436969921541980425594900718245175460468643229945505952599523810830464013043493254830547404284805941390470614630816957369786522474257570175901347564466187401993549610105690977846729715453628636303222835027589591027171714753893007346282591643262872453837444323179597811541855082929785258651236486888354032696964129803281202416660502914524913260600100639036429548664886931324602339422426822262313823476554246496076125276514151776872960004438256163901881406550335818963645951493685601371928096223564859090209241073063203436440919229316250142469610642554587721466380284452332479920912097281363389253052114641779038806325413861207094625293765054904590646701400951038122995949911105812852576589444386787088828149775095010213667530538843319128244222802471237177040793850541524310766914246194173189129068289036784141163877275051091798808056826450837771327078854117361021364958563145061430273864622197516534667556425572591095053354545094598214965568624809087520639124083060844512106255003611021495335280292073946317334677522750041797962104835873409784493411906458902144142096964468839206482963320903283050217226480774214318002627341073979472722144344872505930763251126409886904397135811309768854}
30792 3174971458127728181076297575921990416971297788140047235307718586677729172067329482948591: {338591,584687,861868,892127,1046282,1231240,1385145,1477488,1662174,2426327,2732567,3160967,3200392,3600441,3813868,4016591,4565807,5077545,5097362,5416048,5660392,6088007,6093054,6199178,6367941,6933002,7120247,7135624,7302167,7497388,7539385,8027577,8029127,8634047,9047262,10770550,11826767,12053642,12186791,12274437,12924660,13786304,14239562,14503144,14519927,14612425,15116207,15330578,15386500,15509592,15575788,15596841,15771191,15830687,16316037,17040844,17146058,17196887,17448291,17534910,17871242,17936392,18303985,18463800,18504748,18703904,19031591,19236268,19406824,19680767,19694720,19857647,20178441,20270087,20386792,20564447,20771775,21041892,21093791,21832677,21849458,21856264,21964782,21995545,22033247,22156560,22790937,22935141,23633664,23814664,24256247,24371978,24588297,24759385,24926130,25806988,26056261,26148550,26394654,26587872,26750344,26791497,26887442,27221591,27246218,27453287,27742727,27992044,28089791,28321682,29711262,29911356,30094137,30683591,30741047,30913367,31257791,31378260,31540298,31773887,32141065,32709345,32918447,33080428,33318287,33470144,33489527,33591304,33986485,34116791,34458527,34889968,34970591,35311607,35370550,35458322,35813642,36162887,36519304,37223230,37653912,37790217,38085791,38569278,38874887,39192062,39251214,39358922,40260913,40616591,40773002,40783782,41084217,41400647,41959727,42184778,42360651,42444660,42629567,42796847,43242098,43409591,43632167,44576687,44649842,44667876,45274304,45297407,45704138,45906191,46237847,46734791,47065727,47231087,47235592,48260908,48380761,48441527,48606287,49236585,50359247,50933592,50936277,51069047,51138028,51654002,51723047,51987345,52519024,53027591,53140041,54111191,54439538,55245527,55453168,55495144,55784447,55980424,55988660,56215007,56869322,56950792,56998585,57020927,57269534,57300291,57515590,57557207,57664367,57908498,58627367,59083902,59267927,59427887,59747591,59960567,60638425,61023527,61076591,61363058,61394807,61871591,62384814,62396618,62432037,62767624,62977977,63245327,63456191,64035407,64069641,64245791,65348207,65672584,66167308,66325028,67186392,67607944,67646591,67698647,67854767,68114807,68398302,69018708,69204791,69726988,70032887,70613577,70807367,71475592,71946501,71980682,72021985,72320882,72569548,72766110,72771062,73068791,73279468,73529447,73881657,74359058,74698444,75311877,75416447,75584691,75670607,76053578,76058937,76127591,76887791,77068562,77269384,77617184,78150791,78456385,79659791,79983800,80105738,80410041,80442482,81111647,81426550,81813620,81875134,82090504,82606487,83188108,83351207,83400791,83802002,83846687,84390791,84588407,85141778,86312087,86426382,86928057,87147122,87319332,87386344,87411441,87480842,87648945,87830591,88513847,88585941,89174785,89446917,89535791,89584367,89981775,90133593,91037927,91142258,91762007,92195591,92351817,92415417,92469362,93154792,93492208,93870985,94147662,94577457,94640327,94750040,95446922,95783591,95980560,96306047,96448367,96515464,97096082,97130901,97442591,97711860,98176344,98197727,98309637,99344044,...,14878475789102316188123389366565957252988125551838100129050031839504503767471862193959574875435655859320256376307646208052597499519437371953369538385189265503188259750230944786001905370386109816052475494446251146833460337310269915559142077798729887240708594739682938111492909217411807079392656908051440545930538282143821420863732815351084773293133817849504248776470032925575265565011775211229773028030759303647196866728526185779636965367275863329240193325764759782367107286285121158034882587462636330347203351334113331818514596583154063353003298043416125790944107169731059151882282957622130891470132578637985747325437818189324382448536424856211327626960100230667888511529614310124424218045014531602625852678151295842670985946583209852897443935601394648719411341723855863535903970338351331227880193804665487476609726014578333310617025539089414732429734709380265034066617895530112084100565340871834066542580638882696434373247351696217345637571529366463878828798529592461551256631256431538181272626548723190363903562131593457094186104946083929916423008126910588677332546618521039065754607458189570635813166829144152081420173981094395709095650602095025769478642860601758589963570928207313216503427100811609509071995069485180007128179694482864618081867738365758544906149677280573953567687015532627220702111922409802859967496461183307019137373000542488257893123005385027309027228844277776911356384782406510558573003875983416836930053855126483992555194487559471281800292504903064391138972747786326431170989592620434034560671030202619808944040823838256147243183403962364075526461722253342786613003075493356521634790629376799543906980529398387487114145677871935416728771979614531425256692396005808533952545884883988415675278479565287835204307390521663594590807215653102686763652290794116500624366024383627239893081489177358460640044333967925445679794968620062715977414970834494762047029504746528548396459075576135346579807137797998117655585781933229057111353522856254984202572299974484612685255955951602087758457446159800010548683042057019837602309822119173918337690486625146323450483417698407861973801199529791892547169604511872414957776237125404974086140708006005696774151915307170040172559261504591840206244641499470528621716781301353690706683120785513689228273351934469464314988183113391535682476402719091721378730951859629404341592860833592117624965159489643181067315539146521286557543827604933397316715676202011888385426154904033795815119731749088306123236645223660300841758895604778947464370978288427844263709508057158801595147339915323538399589651102077714346809276534081667220864688504144520393414116227566298781768139105349739161898174326767920285235563199496732796027617525347588315690309999566608240717048955672563515080594367279427537453501482515969658248543876182799547088825512956314269879002110942027540235605499789214978932608065228276486553149636576892116657268134332959399053161975308358775412293643967099018244292994508783908843214311999304551813753303855906981746015790916640516899136654170533851539239198931751840973158055962691941223037042040829578893329612716781545961571059431429021975258749318350047118538083373743179532168323108353600571334548883701811918107948646527648928275152463033184880219931426400466792331766529443998452306103464782285560020490836041651474718093392991377328293505955297139769224950957134408707714271323347589651399139137750805638756222598513735079955195789776806088666788853384957567634320764052402025682506632260787742611827588796841413059123257465154149961561119622175792057189392278949952521722101405988724153504529380009385014606110355168094940320367140393872650480344782842124173703658915055339619201069571700750687967411578385665409103146558080977605607602634981613655454882312970638392351077367763190702964844918258928899285716245696019565239882245821106427208912085705921946225436054679783711386355263852021346699281102990324415158536466770094573180442954454834252541384386540757572130839511019423887464894308680756166484769396717312782624394677887976854730332531049045446194704921803624990754371787369890900150958554644322997330396986903509133640233393470735214831369744114187914771227665309440006657384245852822109825503728445468927240528402057892144335347288635313861609594805154661378843974375213704415963831881582199570426678498719881368145922045083879578171962668558209488120791810641937940647582356885970052101426557184493924866658719278864884166580180633242224662642515320501295808264978692366334203706855765561190775812286466150371369291259783693602433555176211745815912576637698212085239676256656990618281176041532047437844717592145410796933296274802001334638358886642580031817641897322448352937213631280958686124591266768159382505416532243002920438110919476002016284125062696943157253810114676740117859688353216213145446703258809724444981354924575325839721161321477003941011610969209083216517308758896144876689614830356595703716964653281}
30793 3184706279198295205844197782827055776638123895192217138136033523491895109911878936052738: {1077335,1292802,1539050,1569423,1846860,1969984,2216232,2493261,2800343,4000490,4739042,4767335,4800588,4952843,5720802,6243671,6429467,6770060,6798623,7075490,7646043,8124072,8490588,8919530,9139581,9196343,9298767,9371735,9934511,10399503,10703436,11246082,11505362,12063016,12690251,13570893,15563042,15694343,16155825,16365916,16980971,17232880,17777546,17838443,18080463,18128930,19124231,19233125,19386990,19469735,20679456,20795788,20837831,21170903,21301055,21359343,21754716,22420490,22995867,23079750,23130935,23264388,23363682,23379880,23406551,24045335,24258530,24618400,25483490,25561266,25719087,26302365,26680907,26751023,26806863,26904588,27320330,27439211,27695700,27757122,28055856,28854402,29110236,29140943,29286376,29392391,29542080,29768330,30387916,30389003,30528722,30580188,31511552,31562838,31954391,32258735,32774187,32784396,32947173,32970071,33122063,33234840,33437930,34990055,35192872,35450496,35596367,35721996,35827682,36557967,37389195,38102423,38710482,39090011,39222825,39591981,39615016,39881808,40125516,40331163,40869327,41076503,41226071,41331143,41350535,41418347,41837680,41988066,41989130,42482523,43460807,43612460,44566893,44867034,45270962,45649130,45954146,46853147,47067390,47310447,47313323,48521522,48558251,48864383,48982871,49101746,49315442,49620642,49831943,50205216,50386956,50878091,51425704,51540263,52195247,52334952,53055825,53187483,53720463,54313607,54378376,54575183,54778956,54921671,55834845,56052722,56155787,56480868,56537711,56592880,56685122,56777243,57463511,57853917,57951122,58788093,58876821,59038383,59044490,59156951,59332247,59557168,59644271,60023147,60208583,60326135,61159503,61175673,62050763,62541143,63277167,63666990,63698762,63922535,64863147,65648780,65829167,66171191,66974763,67001814,67011551,67610711,67911456,67915036,68556207,68858546,69316460,69368930,69449207,69514082,69950546,69958463,69975530,69985825,70853388,71014346,71188490,71829191,72391362,72395231,73549058,74117042,74961227,76078031,76270427,76400388,76463051,76707042,76867127,76963007,77481003,78459530,78778536,79748111,80497247,80557802,81510443,81659307,81805682,82090730,82709135,82906285,83179752,83242716,83970636,83982990,84451031,84509930,85303983,85326722,85426188,85904301,86163842,86273385,86862747,87158735,88330418,88584743,88625853,89066411,89344490,89497682,89508203,89581856,89668871,90161903,90711935,91197736,91584407,91599335,92024944,92044587,92358002,93183242,93256331,93373055,93577221,93594927,94151436,95678687,95928668,95999591,96295103,96586730,96793106,97021480,97110146,97927307,98276843,98508876,99112811,99250962,99487542,99616127,99979750,...,19837967718803088250831185822087943003984167402450800172066709119339338356629149591946099833914207812427008501743528277403463332692583162604492717846919020670917679666974593048002540493848146421403300659261668195777947116413693220745522770398306516320944792986243917481990545623215742772523542544068587394574051042858428561151643753801446364390845090466005665035293377234100354086682366948306364037374345738196262488971368247706182620489701151105653591101019679709822809715046828210713176783283515107129604468445484442424686128777538751137337730724554834387925476226308078869176377276829507855293510104850647663100583757585765843264715233141615103502613466974223851348706152413499232290726686042136834470237535061123561314595444279803863258580801859531625881788965141151381205293784468441637173591739553983302146301352771111080822700718785886309906312945840353378755490527373482778800753787829112088723440851843595245830996468928289794183428705821951838438398039456615401675508341908717575030168731630920485204749508791276125581473261445239888564010835880784903110062158028052087672809944252760847750889105525536108560231974792527612127534136126701025971523814135678119951427904276417622004569467748812678762660092646906676170906259310486157442490317821011393208199569707431938090249354043502960936149229879737146623328614911076025516497334056651010524164007180036412036305125703702548475179709875347411430671834644555782573405140168645323406925983412628375733723339870752521518630330381768574894652790160578712747561373603493078592054431784341529657577871949818767368615629671123715484004100657808695513054172502399391875974039197849982818860903829247222305029306152708567008923194674411378603394513178651220900371306087050446939076520695551459454409620870803582351536387725488667499154699178169653190775318903144614186725778623900594239726624826750287969886627779326349396039339662038064528612100768180462106409517063997490207447709244305409481804697141673312270096399965979483580341274602136117011276594879733347398244056076026450136413096158898557783587315500195097933977890264543815965068266039722523396226139349163219943701649500539965448187610674674262365535887076226720230079015339455786941659521999294038162289041735138254275577494380684918971031135912625952419984244151188714243301870292122295171641269146172539122123814444789490166620212652857574756420718862028382076725103473244529755620901602682517847234873205378394420159642332117741497648860298213734455678527473038596619161304384570459018279344076211735460196453220431384532786201469436952462412368712108889627819584672192693857885488303421731709024185473799652215864232435690560380314084265995643728036823367130117754253746666088810987622731940896751353440792489705903383271335310021292877664725168243732729451767350608419026505336147922703386980807333052286638576810753637701982070866182102522822209690845777279198737549300411145033883058191956132024325723992678378545124285749332406069085004405141209308994687721222187355865515538894045135385652265242335787964210741283589254964049389387772771857772816955708727948761412575238695967011665757800062824717444498324239376224430811138134095112731844935749224143931528703531904366869950710913173626575235200622389775688705925331269741471286376380746693987781388868632957457857321836437724674607062853025633267942845878276952361764463452868532185517001074185008296798018313439940261053035741451555718471179943423512427685403202700910008843014383656815770118395788550745497676620205533282081492829567722742919189705266603362296135207984965538006039173345846686141480473557459920427156187191830200640459710456165564938211886740452825601426095601000917289882104514220545470862077441303474143470179975484873939843083960851189801436490350920937286459891011905199047621660928026086986509661094808569611882780941229261633914739573044948515140351802695128932374803987099220211381955693459430907257272606445670055179182054343429507786014692565183286525744907674888646359195623083710165859570517302472973776708065393928259606562404833321005829049826521200201278072859097329773862649204678844853644524627646953108492992152250553028303553745920008876512327803762813100671637927291902987371202743856192447129718180418482146126406872881838458632500284939221285109175442932760568904664959841824194562726778506104229283558077612650827722414189250587530109809181293402801902076245991899822211625705153178888773574177656299550190020427335061077686638256488445604942474354081587701083048621533828492388346378258136578073568282327754550102183597616113652901675542654157708234722042729917126290122860547729244395033069335112851145182190106709090189196429931137249618175041278248166121689024212510007222042990670560584147892634669355045500083595924209671746819568986823812917804288284193928937678412965926641806566100434452961548428636005254682147958945444288689745011861526502252819773808794271622619537708}
30794 3194470776463139136846053782836256475823427998568439139353937085705874449431886628446653: {400153,677182,953653,1138009,1169374,1723736,1784254,1939203,2058709,2092564,2308575,2462480,2770290,2954976,2977609,3324348,4627093,4810009,4852654,4992853,5465134,6000735,6321934,6400784,7108563,7200882,7363273,7627736,8033182,8453209,8462575,8581203,9131614,10155090,10194724,10555139,10613235,10832096,11166709,11320784,12176014,12186108,12398356,12735882,13379295,13866004,14240494,14271248,14604334,14759509,14994776,15078770,15831733,16055154,16058254,16366873,16869123,17257333,17258043,17268094,18094524,18323509,18500953,19917913,20457395,20801173,21541100,23344563,23653534,24107284,24316213,24373582,24548874,25625579,25849320,25994735,26237209,26666319,27193395,27572608,28479124,29006288,29039854,29080485,29224850,29534773,30232414,30661156,30743113,30773000,30793763,31019184,31151576,31193682,31542382,31661374,32632074,33320533,33630735,34081688,34176073,34292116,34393774,34619625,34663139,34896582,35045523,35069820,35742484,35872784,35881753,36387795,36607970,36927600,37009496,37407808,37984895,38063182,38225235,38341899,38472536,38813648,38933833,39361534,39389440,39715294,40356882,40540174,40773584,40980495,41128894,41543550,41635683,42083784,42187582,42465109,43281603,43468213,43665354,43698916,43712528,43929564,43991090,44066494,44313120,44652495,44997491,45134293,45581874,45793083,45870282,47267328,47289433,47344257,47454709,47581079,47629328,48280009,48444853,48512494,48743956,49176594,49267993,49518770,49852260,50156895,51563209,51613976,52112522,52297100,52789308,53175744,53500688,53582994,53741523,53774884,53844313,54006709,54169033,54443182,54492436,54515575,54906574,55485454,55984088,56179582,56272693,56643364,57177263,57239509,58065723,59422524,59805013,59822712,60188274,61080853,61240009,61367182,61482094,61826734,62515582,62756520,62982099,62983695,62985973,63080596,63460633,63547774,64282130,65038153,65418690,65836894,66160856,66636574,66765109,66940288,66979054,67182608,67300551,67703413,67906443,67972970,68233582,68473695,68917054,68931219,69779936,69941182,70601085,70623214,70741100,70916644,71627284,72325774,72782283,73038608,73125193,73652619,73973163,74430963,74446460,75116533,75307824,75421813,75580434,76031509,76171582,76183753,77138556,77550709,77749774,78307609,78384124,78502428,78717844,79213513,79665493,79798019,80521826,81233182,81546004,81567564,82060975,82168434,82662133,82801294,83406793,83919454,84079083,84369556,84721302,84889320,84890713,84893795,85027683,85259134,85593694,86367433,86484196,86645575,86819182,86926683,87264334,87396853,88566735,89153374,89299684,89335752,89590873,90548608,90594814,90899509,91044553,91408276,91812382,92475694,93469582,93930313,94131454,94462174,94471184,94504009,95500485,95548143,95790613,95933209,96502873,96521816,96761522,96883054,97212574,97497013,98473170,...,29756951578204632376246778733131914505976251103676200258100063679009007534943724387919149750871311718640512752615292416105194999038874743906739076770378531006376519500461889572003810740772219632104950988892502293666920674620539831118284155597459774481417189479365876222985818434823614158785313816102881091861076564287642841727465630702169546586267635699008497552940065851150531130023550422459546056061518607294393733457052371559273930734551726658480386651529519564734214572570242316069765174925272660694406702668226663637029193166308126706006596086832251581888214339462118303764565915244261782940265157275971494650875636378648764897072849712422655253920200461335777023059228620248848436090029063205251705356302591685341971893166419705794887871202789297438822683447711727071807940676702662455760387609330974953219452029156666621234051078178829464859469418760530068133235791060224168201130681743668133085161277765392868746494703392434691275143058732927757657597059184923102513262512863076362545253097446380727807124263186914188372209892167859832846016253821177354665093237042078131509214916379141271626333658288304162840347962188791418191301204190051538957285721203517179927141856414626433006854201623219018143990138970360014256359388965729236163735476731517089812299354561147907135374031065254441404223844819605719934992922366614038274746001084976515786246010770054618054457688555553822712769564813021117146007751966833673860107710252967985110388975118942563600585009806128782277945495572652862341979185240868069121342060405239617888081647676512294486366807924728151052923444506685573226006150986713043269581258753599087813961058796774974228291355743870833457543959229062850513384792011617067905091769767976831350556959130575670408614781043327189181614431306205373527304581588233001248732048767254479786162978354716921280088667935850891359589937240125431954829941668989524094059009493057096792918151152270693159614275595996235311171563866458114222707045712509968405144599948969225370511911903204175516914892319600021097366084114039675204619644238347836675380973250292646900966835396815723947602399059583785094339209023744829915552474250809948172281416012011393548303830614340080345118523009183680412489282998941057243433562602707381413366241571027378456546703868938928629976366226783071364952805438183442757461903719258808683185721667184235249930318979286362134631078293042573115087655209866794633431352404023776770852309808067591630239463498176612246473290447320601683517791209557894928741956576855688527419016114317603190294679830647076799179302204155428693618553068163334441729377008289040786828232455132597563536278210699478323796348653535840570471126398993465592055235050695176631380619999133216481434097911345127030161188734558855074907002965031939316497087752365599094177651025912628539758004221884055080471210999578429957865216130456552973106299273153784233314536268665918798106323950616717550824587287934198036488585989017567817686428623998609103627506607711813963492031581833281033798273308341067703078478397863503681946316111925383882446074084081659157786659225433563091923142118862858043950517498636700094237076166747486359064336646216707201142669097767403623836215897293055297856550304926066369760439862852800933584663533058887996904612206929564571120040981672083302949436186785982754656587011910594279538449901914268817415428542646695179302798278275501611277512445197027470159910391579553612177333577706769915135268641528104804051365013264521575485223655177593682826118246514930308299923122239244351584114378784557899905043444202811977448307009058760018770029212220710336189880640734280787745300960689565684248347407317830110679238402139143401501375934823156771330818206293116161955211215205269963227310909764625941276784702154735526381405929689836517857798571432491392039130479764491642212854417824171411843892450872109359567422772710527704042693398562205980648830317072933540189146360885908909668505082768773081515144261679022038847774929788617361512332969538793434625565248789355775953709460665062098090892389409843607249981508743574739781800301917109288645994660793973807018267280466786941470429662739488228375829542455330618880013314768491705644219651007456890937854481056804115784288670694577270627723219189610309322757687948750427408831927663763164399140853356997439762736291844090167759156343925337116418976241583621283875881295164713771940104202853114368987849733317438557729768333160361266484449325285030641002591616529957384732668407413711531122381551624572932300742738582519567387204867110352423491631825153275396424170479352513313981236562352083064094875689435184290821593866592549604002669276717773285160063635283794644896705874427262561917372249182533536318765010833064486005840876221838952004032568250125393886314507620229353480235719376706432426290893406517619448889962709849150651679442322642954007882023221938418166433034617517792289753379229660713191407433929306562}
30795 3204265039867569708350655006061743719233411378026262491447880381543883116928619163640441: {1015773,1508269,1754061,2154670,2585604,2615705,2676381,3078100,3138846,3693720,3723533,3939968,4155435,4432464,4986522,5600686,6674269,7278981,7598461,8000980,8197701,9478084,9482901,9534670,9601176,9905686,10801323,11103277,11441604,12049773,12487342,12743405,12858934,13120429,13540120,13597246,13697421,14150980,15232635,15292086,15497945,16248144,16981176,17332505,17839060,18264021,18279162,18392686,18597534,18743470,19103823,19869022,20799006,21360741,21406872,21906501,22492164,22618155,23010724,23986853,24082731,24087381,24126032,25380502,25902141,26926375,27141786,27257629,29821477,30134105,31126084,31388686,31531981,32311650,32383309,32731832,33663469,33961942,34465760,35243869,35480301,35555092,35598905,35676886,36106829,36160926,36257860,36560373,36823311,37063349,38124053,38248462,38326445,38466250,38773980,38939470,41358912,41591576,41675662,41677541,42341806,42585061,42602110,42718686,42865145,43509432,43559781,43837275,44678105,44840980,45162229,45348621,45991734,46076197,46159500,46261870,46432457,46528776,46727364,46759760,46790523,46813102,47205881,47313573,47492061,48090670,48517060,48948111,48986077,49236800,50966980,51122532,51438174,51590661,51628553,52344873,52539677,52604730,52672409,53361814,53502046,53613726,53809176,54623645,54640660,54878422,54911955,55371901,55391400,55514244,55790549,56111712,57094773,57708804,57890749,58059373,58220472,58281886,58572752,58585301,58784782,59042301,59084160,59172389,59536660,59572941,60128653,60535323,60775832,60778006,60810261,60929945,61057444,61160376,61693341,62315325,63023104,63125676,63281373,63757669,63908782,64275893,64517470,65371375,65498031,65548374,65568792,65894346,65940142,65986635,66099741,66244126,66469680,66875860,67218605,68115545,68372811,68805423,69283129,69980110,70385744,70804205,70900992,71192734,71248733,71443992,71655364,72768741,73115934,73764891,73956037,74278155,74778390,76204846,76300829,77420964,78168783,78180022,78445650,78850745,79177337,79183962,79230032,79763616,80251032,80374491,80662326,80912317,81664773,81738654,82153006,82359861,82452142,82662286,82701070,82836694,83228181,83675360,83976132,83978260,84269373,84456589,84965046,85100597,86205401,86921614,87224920,88426375,88590541,88645805,89133786,89491549,89534105,89734068,90282411,90541924,90956281,91298260,91908292,92050773,92223141,92740101,93058075,93706294,93773373,94134780,94620894,94626646,95321661,96423195,97043044,97116502,97728766,97900573,97965742,97980155,98128035,98203492,98272493,98397305,98630884,98755341,99241284,99663886,99954861,...,44635427367306948564370168099697871758964376655514300387150095518513511302415586581878724626306967577960769128922938624157792498558312115860108615155567796509564779250692834358005716111158329448157426483338753440500381011930809746677426233396189661722125784219048814334478727652235421238177970724154321637791614846431464262591198446053254319879401453548512746329410098776725796695035325633689319084092277910941590600185578557338910896101827589987720579977294279347101321858855363474104647762387908991041610054002339995455543789749462190059009894130248377372832321509193177455646848872866392674410397735913957241976313454567973147345609274568633982880880300692003665534588842930373272654135043594807877558034453887528012957839749629558692331806804183946158234025171567590607711911015053993683640581413996462429829178043734999931851076617268244197289204128140795102199853686590336252301696022615502199627741916648089303119742055088652036912714588099391636486395588777384653769893769294614543817879646169571091710686394780371282558314838251789749269024380731766031997639855563117197263822374568711907439500487432456244260521943283187127286951806285077308435928581805275769890712784621939649510281302434828527215985208455540021384539083448593854245603215097275634718449031841721860703061046597881662106335767229408579902489383549921057412119001627464773679369016155081927081686532833330734069154347219531675719011627950250510790161565379451977665583462678413845400877514709193173416918243358979293512968777861302103682013090607859426832122471514768441729550211887092226579385166760028359839009226480069564904371888130398631720941588195162461342437033615806250186315938843594275770077188017425601857637654651965247025835438695863505612922171564990783772421646959308060290956872382349501873098073150881719679244467532075381920133001903776337039384905860188147932244912503484286141088514239585645189377226728406039739421413393994352966757345799687171334060568568764952607716899923453838055767867854806263275372338479400031646049126171059512806929466357521755013071459875438970351450253095223585921403598589375677641508813535617244873328711376214922258422124018017090322455745921510120517677784513775520618733924498411585865150343904061072120049362356541067684820055803408392944964549340174607047429208157275164136192855578888213024778582500776352874895478468929543201946617439563859672631482814800191950147028606035665156278464712101387445359195247264918369709935670980902525276686814336842393112934865283532791128524171476404785442019745970615198768953306233143040427829602245001662594065512433561180242348682698896345304417316049217485694522980303760855706689598490198388082852576042764947070929998699824722151146867017690545241783101838282612360504447547908974745631628548398641266476538868942809637006332826082620706816499367644936797824195684829459659448909730676349971804402998878197159485925925076326236880931901297054732878983526351726529642935997913655441259911567720945238047372749921550697409962511601554617717596795255522919474167888075823669111126122488736679988838150344637884713178294287065925776247955050141355614250121229538596504969325060801714003646651105435754323845939582946784825457389099554640659794279201400376995299588331995356918310394346856680061472508124954424154280178974131984880517865891419307674852871403226123142813970042768954197417413252416916268667795541205239865587369330418266000366560154872702902962292157206077047519896782363227835482766390524239177369772395462449884683358866527376171568176836849857565166304217966172460513588140028155043818331065504284820961101421181617951441034348526372521110976745166018857603208715102252063902234735156996227309439674242932816822807904944840966364646938911915177053232103289572108894534754776786697857148737088058695719646737463319281626736257117765838676308164039351134159065791556064040097843308970973245475609400310283719541328863364502757624153159622272716392518533058271662394682926042268499454308190151938347873184033663930564190997593147136338584114765410874972263115362109672700452875663932968991991190960710527400920700180412205644494109232342563744313682995928320019972152737558466329476511185336406781721585206173676433006041865905941584828784415463984136531923125641113247891495644746598711280035496159644104437766135251638734515888005674628464362375431925813821942747070657910156304279671553481774599976157836594652499740541899726673987927545961503887424794936077099002611120567296683572327436859398451114107873779351080807300665528635237447737729913094636255719028769970971854843528124596142313534152776436232390799888824406004003915076659927740095452925691967345058811640893842876058373773800304478147516249596729008761314332758428006048852375188090829471761430344030220353579065059648639436340109776429173334944064773725977519163483964431011823034832907627249649551926276688434630068844491069787111150893959843}
30796 3214089159627938902722043594692006219228096670554013476107957482197190535159766697475112: {707779,800306,1354364,1907306,2276018,2338748,2549179,2732923,3232005,3283723,3447472,3568508,3847625,3878406,4117418,4185128,4617150,4708269,4924960,5540580,5909952,5955218,6648696,7303123,7479783,7848523,8401029,9254186,9620018,9705308,9985706,10001225,10565803,10930268,11847605,12001470,12643868,12801568,13625803,14217126,14302005,14401764,14726546,14858529,15237379,15255472,16066364,16906418,16925150,17162406,17688725,17910379,18088003,18263228,18731013,19288401,19860283,20310180,20389448,20390563,20395869,20567179,21110278,21226470,21664192,22298825,22333418,22641568,22938129,24352028,24372216,24796712,25471764,26758590,27418743,27589029,27732008,27746443,27896301,28115205,28480988,28542496,28640353,28763405,29133163,29208668,29519018,29803533,29989552,30157540,31198509,31663466,32110308,32116508,32733746,33738246,34463179,34514666,34516086,34536188,36167779,36189048,36337843,36392629,36647018,37001906,37187083,38070753,38907605,39835826,40229443,40397779,40712679,40914790,40945553,41406283,41602346,42077179,43082200,43749379,43916203,44443865,45322325,45414379,46689126,47083029,47307068,48214568,48467475,48558043,48632426,48747164,49097748,50366179,50942913,51251158,51698640,51839083,51989470,52474418,53178853,53332638,53468803,53515329,54241389,54386790,55145216,56051225,56958248,57028843,57372693,57672379,57699375,58012576,58079708,58160970,58409205,58449700,59069546,60235003,60464828,60646325,61322312,61486226,61546000,61587526,61668379,62038368,62303152,62387364,62513493,63084764,63267149,63322748,63512709,63708725,63886483,63903165,64078029,65264148,65462203,66404179,66641066,67030723,67261470,67573129,67968379,68163376,68300825,68352146,68584232,68787548,68987601,69239250,69326278,69370003,69392805,69793164,70091046,70139640,70146163,70219653,71484968,71745568,71763506,72136005,72775590,73215940,73855200,74018992,74153179,74420825,74815616,75528883,75833803,75969790,76126364,76321805,76450470,76683798,76945072,77157261,77627296,77808763,77867666,78723068,78778880,78907095,79430588,79470379,80042721,80253069,80373043,80420589,80713764,80973379,81080348,81547168,81960990,82257788,82317633,82618363,83087100,83271366,83594825,83957779,84167568,84375164,84930218,86563206,86936426,87330708,87397832,87422829,87425056,87859128,87982180,88132988,88177173,88626240,89304990,89569205,89694523,89994982,90268586,91163748,91167009,91586166,91740564,91871803,92160883,92882323,94534656,94578866,94688514,94749643,94909418,95162158,95258656,95863173,96560018,96776205,96889123,96889706,97024988,97487912,98306443,98322561,98353188,98535986,98841519,98910213,99037540,99366189,99704520,...,59513903156409264752493557466263829011952502207352400516200127358018015069887448775838299501742623437281025505230584832210389998077749487813478153540757062012753039000923779144007621481544439264209901977785004587333841349241079662236568311194919548962834378958731752445971636869647228317570627632205762183722153128575285683454931261404339093172535271398016995105880131702301062260047100844919092112123037214588787466914104743118547861469103453316960773303059039129468429145140484632139530349850545321388813405336453327274058386332616253412013192173664503163776428678924236607529131830488523565880530314551942989301751272757297529794145699424845310507840400922671554046118457240497696872180058126410503410712605183370683943786332839411589775742405578594877645366895423454143615881353405324911520775218661949906438904058313333242468102156357658929718938837521060136266471582120448336402261363487336266170322555530785737492989406784869382550286117465855515315194118369846205026525025726152725090506194892761455614248526373828376744419784335719665692032507642354709330186474084156263018429832758282543252667316576608325680695924377582836382602408380103077914571442407034359854283712829252866013708403246438036287980277940720028512718777931458472327470953463034179624598709122295814270748062130508882808447689639211439869985844733228076549492002169953031572492021540109236108915377111107645425539129626042234292015503933667347720215420505935970220777950237885127201170019612257564555890991145305724683958370481736138242684120810479235776163295353024588972733615849456302105846889013371146452012301973426086539162517507198175627922117593549948456582711487741666915087918458125701026769584023234135810183539535953662701113918261151340817229562086654378363228862612410747054609163176466002497464097534508959572325956709433842560177335871701782719179874480250863909659883337979048188118018986114193585836302304541386319228551191992470622343127732916228445414091425019936810289199897938450741023823806408351033829784639200042194732168228079350409239288476695673350761946500585293801933670793631447895204798119167570188678418047489659831104948501619896344562832024022787096607661228680160690237046018367360824978565997882114486867125205414762826732483142054756913093407737877857259952732453566142729905610876366885514923807438517617366371443334368470499860637958572724269262156586085146230175310419733589266862704808047553541704619616135183260478926996353224492946580894641203367035582419115789857483913153711377054838032228635206380589359661294153598358604408310857387237106136326668883458754016578081573656464910265195127072556421398956647592697307071681140942252797986931184110470101390353262761239998266432962868195822690254060322377469117710149814005930063878632994175504731198188355302051825257079516008443768110160942421999156859915730432260913105946212598546307568466629072537331837596212647901233435101649174575868396072977171978035135635372857247997218207255013215423627926984063163666562067596546616682135406156956795727007363892632223850767764892148168163318315573318450867126183846284237725716087901034997273400188474152333494972718128673292433414402285338195534807247672431794586110595713100609852132739520879725705601867169327066117775993809224413859129142240081963344166605898872373571965509313174023821188559076899803828537634830857085293390358605596556551003222555024890394054940319820783159107224354667155413539830270537283056209608102730026529043150970447310355187365652236493029860616599846244478488703168228757569115799810086888405623954896614018117520037540058424441420672379761281468561575490601921379131368496694814635660221358476804278286803002751869646313542661636412586232323910422430410539926454621819529251882553569404309471052762811859379673035715597142864982784078260959528983284425708835648342823687784901744218719134845545421055408085386797124411961297660634145867080378292721771817819337010165537546163030288523358044077695549859577234723024665939077586869251130497578711551907418921330124196181784778819687214499963017487149479563600603834218577291989321587947614036534560933573882940859325478976456751659084910661237760026629536983411288439302014913781875708962113608231568577341389154541255446438379220618645515375897500854817663855327526328798281706713994879525472583688180335518312687850674232837952483167242567751762590329427543880208405706228737975699466634877115459536666320722532968898650570061282005183233059914769465336814827423062244763103249145864601485477165039134774409734220704846983263650306550792848340958705026627962473124704166128189751378870368581643187733185099208005338553435546570320127270567589289793411748854525123834744498365067072637530021666128972011681752443677904008065136500250787772629015240458706960471438753412864852581786813035238897779925419698301303358884645285908015764046443876836332866069235035584579506758459321426382814867858613124}
30797 3223943226232452998514257938055609948671849184055864314313936386555526765762526618351801: {1200459,1692955,2031546,2860959,2923435,3016538,3414027,3508122,3661987,4309340,4400539,4460635,5171208,5231410,5352762,5817609,6156200,6176127,6277692,6925725,7387440,7447066,7783039,7879936,8310870,8864928,8890507,8932827,9811483,9973044,11201372,12025987,12131635,13348538,13662835,13881279,14430027,14557962,14978559,15196922,15804835,16001960,16395402,17840767,18002205,18956168,18965802,19069340,19202352,19811372,19941823,20082955,21325689,21602646,21697123,22089819,22206554,22829035,22883208,24099546,24265507,24662539,24974684,25359627,25387725,25486810,25717868,25743609,26240858,26684383,27080240,27194492,27394842,27685027,28031839,28301960,28348099,30052363,30440035,30465270,30584172,30995890,31665417,31839705,32496288,32745163,33215887,33500127,33962352,34665010,34982107,35601235,35678120,36510835,36528042,36534403,36558324,36781723,36785372,37195068,37486940,37696925,38107387,38207646,39738044,40137885,40145635,41423743,41598012,42187747,42671707,42721482,42813744,43090339,43170235,43313467,43813002,44278527,44984328,45055699,45236310,46021448,46188043,47319487,47495199,47973706,48165462,48174762,48252064,49100619,49838467,50137999,50214043,50461459,50607369,50761004,51771999,51774129,51804282,51895099,53409907,53657023,53715427,53852750,54147019,54283572,54320683,54515258,54970527,55502859,56163103,56833363,58869163,59133835,59642954,59753739,60011203,60216427,60268210,60933955,61372185,62058847,62252168,62354143,62403519,62549347,62777372,63063962,63205123,64623300,64766618,64948939,65463664,66717619,67326938,67822927,67923884,68255323,68440387,68931520,70033689,70308499,70487738,70960602,71110184,71197810,71353772,71367547,72213658,72321852,72515720,72599635,72659599,72948639,73062125,73120746,73646622,74126698,74256043,75581035,75962419,76248106,76305823,76466227,76473103,76496924,76652890,76876737,76932500,76973083,77547960,77588323,77878940,77984205,78307339,78711627,78855955,79153435,79687939,79998957,80620003,81580185,82717824,83183152,83351324,83355082,84302683,84637843,84683612,85170122,85204220,85301923,85437372,85730290,85984435,86277523,86305483,87018864,87119562,87241455,87674550,87985363,88604319,89356210,89681960,90173707,90299803,90324458,90697242,91519925,91983468,92152394,92229339,92319000,92327359,92381289,92523740,92864914,92960923,93057552,93454728,93519520,93581046,93626204,94106047,94209067,94411762,94627146,94984122,95141083,95157955,95361763,96181340,96537187,97034120,97896222,97972154,98278939,98403835,98473600,99125887,99288235,99362803,99961599,...,89270854734613897128740336199395743517928753311028600774300191037027022604831173163757449252613935155921538257845877248315584997116624231720217230311135593019129558501385668716011432222316658896314852966677506881000762023861619493354852466792379323444251568438097628668957455304470842476355941448308643275583229692862928525182396892106508639758802907097025492658820197553451593390070651267378638168184555821883181200371157114677821792203655179975441159954588558694202643717710726948209295524775817982083220108004679990911087579498924380118019788260496754745664643018386354911293697745732785348820795471827914483952626909135946294691218549137267965761760601384007331069177685860746545308270087189615755116068907775056025915679499259117384663613608367892316468050343135181215423822030107987367281162827992924859658356087469999863702153234536488394578408256281590204399707373180672504603392045231004399255483833296178606239484110177304073825429176198783272972791177554769307539787538589229087635759292339142183421372789560742565116629676503579498538048761463532063995279711126234394527644749137423814879000974864912488521043886566374254573903612570154616871857163610551539781425569243879299020562604869657054431970416911080042769078166897187708491206430194551269436898063683443721406122093195763324212671534458817159804978767099842114824238003254929547358738032310163854163373065666661468138308694439063351438023255900501021580323130758903955331166925356827690801755029418386346833836486717958587025937555722604207364026181215718853664244943029536883459100423774184453158770333520056719678018452960139129808743776260797263441883176390324922684874067231612500372631877687188551540154376034851203715275309303930494051670877391727011225844343129981567544843293918616120581913744764699003746196146301763439358488935064150763840266003807552674078769811720376295864489825006968572282177028479171290378754453456812079478842826787988705933514691599374342668121137137529905215433799846907676111535735709612526550744676958800063292098252342119025613858932715043510026142919750877940702900506190447171842807197178751355283017627071234489746657422752429844516844248036034180644911491843020241035355569027551041237467848996823171730300687808122144240098724713082135369640111606816785889929098680349214094858416314550328272385711157776426049557165001552705749790956937859086403893234879127719345262965629600383900294057212071330312556929424202774890718390494529836739419871341961805050553373628673684786225869730567065582257048342952809570884039491941230397537906612466286080855659204490003325188131024867122360484697365397792690608834632098434971389045960607521711413379196980396776165705152085529894141859997399649444302293734035381090483566203676565224721008895095817949491263257096797282532953077737885619274012665652165241413632998735289873595648391369658919318897819461352699943608805997756394318971851850152652473761863802594109465757967052703453059285871995827310882519823135441890476094745499843101394819925023203109235435193590511045838948335776151647338222252244977473359977676300689275769426356588574131851552495910100282711228500242459077193009938650121603428007293302210871508647691879165893569650914778199109281319588558402800753990599176663990713836620788693713360122945016249908848308560357948263969761035731782838615349705742806452246285627940085537908394834826504833832537335591082410479731174738660836532000733120309745405805924584314412154095039793564726455670965532781048478354739544790924899769366717733054752343136353673699715130332608435932344921027176280056310087636662131008569641922202842363235902882068697052745042221953490332037715206417430204504127804469470313992454618879348485865633645615809889681932729293877823830354106464206579144217789069509553573395714297474176117391439293474926638563253472514235531677352616328078702268318131583112128080195686617941946490951218800620567439082657726729005515248306319244545432785037066116543324789365852084536998908616380303876695746368067327861128381995186294272677168229530821749944526230724219345400905751327865937983982381921421054801841400360824411288988218464685127488627365991856640039944305475116932658953022370672813563443170412347352866012083731811883169657568830927968273063846251282226495782991289493197422560070992319288208875532270503277469031776011349256928724750863851627643885494141315820312608559343106963549199952315673189304999481083799453347975855091923007774849589872154198005222241134593367144654873718796902228215747558702161614601331057270474895475459826189272511438057539941943709687056249192284627068305552872464781599777648812008007830153319855480190905851383934690117623281787685752116747547600608956295032499193458017522628665516856012097704750376181658943522860688060440707158130119297278872680219552858346669888129547451955038326967928862023646069665815254499299103852553376869260137688982139574222301787919686}
30798 3233827330441987037427638153081344765733603382612735036008593445674748578805403891284317: {523277,1261037,1415558,1600612,2181617,2708728,3047319,3100397,3345101,3814612,3895217,4200557,4524807,4552036,4566701,4677496,5098358,5115377,5262183,5386675,5465846,6464010,6567446,6894944,7137016,7303601,7364237,7695250,7756812,7847115,8029143,8212301,8234836,8370256,8575277,9234300,9360737,9416538,9849920,10084577,10626701,11081160,11168177,11170599,11819904,11910436,12429101,12466305,13088177,13297392,13865837,14001715,14522801,14606246,14880737,14959566,15697046,16586647,16802058,16844237,17733857,18148397,18508372,18621677,19240036,19410616,19861601,19920557,19971412,20002450,20022807,21097997,21131606,21333101,21836943,21860536,21861617,22213601,22565297,22795383,23092301,23618657,23695210,23836675,24002940,24261101,24593103,24764215,25135601,25287736,25603136,26240717,26356877,27251606,27458801,28268897,28434252,28448703,28604010,28803528,29453092,29717058,30057101,30474758,30510944,30919601,31218355,32132728,32147335,32403969,33309831,33496301,33812836,33850300,33993115,34324812,35148257,35377450,35820758,36000077,36149319,36176006,36340301,36396977,36526456,37462026,38230215,38262797,38576802,39361287,39720566,40063757,40268767,40620360,40778896,40781126,40791738,41092263,41129201,41134358,41409101,42220556,42452940,42582497,42805601,43140017,43328384,43585457,44252657,44597650,44666836,45283136,45697905,45804977,45876258,45981715,46493835,46633997,46858675,46909937,47240801,48390199,48561377,48616301,48704056,48744432,49384397,49593424,49672555,50041517,50943528,51570317,51897101,51997515,53517180,54122417,54284717,54470647,54609101,54792063,54837486,55178058,55464016,55492886,55742177,55792602,56230410,56961976,57084992,57280706,57311469,57526810,58266326,58318817,58417336,58639601,59038036,59440301,59607066,59919857,59979104,60315080,60558257,61036301,61248557,61354637,62221411,62360801,62397018,63100337,63326932,63451255,63943601,64082223,64220616,64233016,64259297,65047277,65467492,65719503,66878897,67476492,67854465,67869101,68441057,68926358,69029332,69032172,69072376,69374897,70710343,71286317,71960559,72248193,72262143,72335558,72378096,72675686,72776801,72785258,73294036,73749677,74003812,74374166,74515697,74770267,75534257,75585101,75839201,76141506,76143857,76600301,76904237,77561777,77706423,77815210,78318797,78419597,78471715,79325357,79671652,79676897,79827437,80378801,80458886,80779125,80795558,80829197,81425358,81772887,81829580,81891106,82674017,82812566,83204692,83369201,83864801,84154358,84606701,84902957,84904855,86085101,86164400,87498758,87507377,87832406,87849677,87996257,88728077,88887730,89192215,89464431,89701037,89749601,90040817,90402315,90644650,90828758,91202801,92215757,92456417,92889101,92937137,93378252,94166058,94595943,94613357,94614136,94804301,95519201,95621155,95947277,96165625,96184817,96429136,96469601,96896237,96934950,96943601,97116086,97149927,97264852,97348675,97494328,98077937,98195496,99583217,...,133906282101920845693110504299093615276893129966542901161450286555540533907246759745636173878920902733882307386768815872473377495674936347580325845466703389528694337752078503074017148333474988344472279450016260321501143035792429240032278700188568985166377352657146443003436182956706263714533912172462964913374844539294392787773595338159762959638204360645538238988230296330177390085105976901067957252276833732824771800556735672016732688305482769963161739931882838041303965576566090422313943287163726973124830162007019986366631369248386570177029682390745132118496964527579532366940546618599178023231193207741871725928940363703919442036827823705901948642640902076010996603766528791119817962405130784423632674103361662584038873519248888676076995420412551838474702075514702771823135733045161981050921744241989387289487534131204999795553229851804732591867612384422385306599561059771008756905088067846506598883225749944267909359226165265956110738143764298174909459186766332153961309681307883843631453638938508713275132059184341113847674944514755369247807073142195298095992919566689351591791467123706135722318501462297368732781565829849561381860855418855231925307785745415827309672138353865818948530843907304485581647955625366620064153617250345781562736809645291826904155347095525165582109183139793644986319007301688225739707468150649763172236357004882394321038107048465245781245059598499992202207463041658595027157034883850751532370484696138355932996750388035241536202632544127579520250754730076937880538906333583906311046039271823578280496367414544305325188650635661276679738155500280085079517027679440208694713115664391195895162824764585487384027311100847418750558947816530782827310231564052276805572912963955895741077506316087590516838766514694972351317264940877924180872870617147048505619294219452645159037733402596226145760399005711329011118154717580564443796734737510452858423265542718756935568131680185218119218264240181983058900272037399061514002181705706294857823150699770361514167303603564418789826117015438200094938147378513178538420788399072565265039214379626316911054350759285670757764210795768127032924526440606851734619986134128644766775266372054051270967367237764530361553033353541326561856201773495234757595451031712183216360148087069623203054460167410225178834893648020523821142287624471825492408578566736664639074335747502329058624686435406788629605839852318691579017894448444400575850441085818106995468835394136304162336077585741794755109129807012942707575830060443010527179338804595850598373385572514429214356326059237911845596306859918699429121283488806735004987782196537300683540727046048096689035913251948147652457083568940911282567120068795470595164248557728128294841212789996099474166453440601053071635725349305514847837081513342643726924236894885645195923799429616606828428911018998478247862120449498102934810393472587054488378978346729192029049915413208996634591478457777775228978710642795703891164198636950579055179588928807993740966323779734703162835714142118249764652092229887534804663853152790385766568758422503664227471007333378367466210039966514451033913654139534882861197777328743865150424066842750363688615789514907975182405142010939953316307262971537818748840354476372167298663921979382837604201130985898764995986070754931183040570040184417524374863272462840536922395954641553597674257923024558614209678369428441910128306862592252239757250748806003386623615719596762107991254798001099680464618108708886876471618231142559690347089683506448299171572717532109317186387349654050076599582128514704530510549572695498912653898517381540764420084465131454993196512854462883304263544853854323103045579117563332930235498056572809626145306756191706704205470988681928319022728798450468423714834522899093940816735745531159696309868716326683604264330360093571446211264176087158940212389957844880208771353297516028924492118053402477197374668192120293529926912919736426828200930851158623986590093508272872459478866818149177555599174814987184048778126805498362924570455815043619552100991791692572992779441409015752344296232624916789346086329018101358626991798906975973572882131582202762100541236616933482327697027691232941048987784960059916458212675398988429533556009220345164755618521029299018125597717824754486353246391952409595769376923339743674486934239796133840106488478932313313298405754916203547664017023885393087126295777441465828241211973730468912839014660445323799928473509783957499221625699180021963782637884511662274384808231297007833361701890050716982310578195353342323621338053242421901996585905712343213189739283908767157086309912915564530584373788426940602458329308697172399666473218012011745229979783220286358777075902035176434922681528628175121321400913434442548748790187026283942998275284018146557125564272488415284291032090661060737195178945918309020329329287520004832194321177932557490451893293035469104498722881748948655778830065303890206533473209361333452681879529}
30799 3243741563290901717290157046766212105742363050277629624446964490223581969741060701072912: {2000765,2123337,2370137,2400918,3385910,4063092,4092809,4768265,5200637,5690045,5721918,5846870,6033076,6244889,6828054,7016244,7323974,7647537,8198769,8618680,8801078,8921270,9198137,9696015,9851169,9936449,10293545,10342416,10462820,10488137,10705524,11542875,11595389,11635218,12312400,12352254,12555384,13440809,13851450,14124807,14774880,14888045,14894132,15566078,15759872,16621740,16984289,17729856,17781014,17865654,19127969,19622966,19946088,20617817,21909369,22126769,22402744,22439349,23135465,23545569,23567609,24050045,24051974,24263270,24964265,25203087,26697076,27325670,27762558,28116137,28860054,29115924,29146637,29957118,30003675,30393844,30942089,31536089,31609670,31697409,31960649,32003920,32790804,33128537,35516429,35542815,35681534,36004410,36816365,37912336,37931604,38138680,38316569,38404704,38698829,39054017,39097649,39622744,39883646,40165910,40877409,41234129,42266045,42312875,42590609,42616049,42651378,42833417,42906015,43205292,43394246,43469309,44179638,44413108,44575587,45658070,45712137,45766416,46862321,48199092,48409169,48531014,49325078,49841729,49949368,50719254,50775450,50888057,50973620,51115169,51435736,51487218,51550337,52481716,52775695,52899737,53066175,53368766,53731137,54160480,54264009,54388984,54585869,54789684,55370054,55776449,55833545,56063678,56193039,56203889,56603920,56696198,56788337,57865203,58066937,59343869,59580849,59655929,60034889,60104726,60438329,60880070,60930540,61168344,61171689,61187607,61701537,61991780,63330834,63519641,63679410,64985549,64992576,65490326,66431774,66896475,67000254,67024649,67564097,67924704,68814387,69330020,69964214,69972137,70969217,71202470,71356240,72409409,73021670,73056084,73068806,73116648,73563446,73570744,73797545,74390136,74973880,75157361,75393850,76214774,76285361,76415292,76757837,76773197,76978121,77878289,78629777,79158665,79476088,79763729,80275770,80291270,81834365,82256229,82767087,82787369,82847486,82890989,83196024,83239329,83688903,84345615,84375494,85307537,85343414,85442964,85627488,85921059,86180678,86286665,86290215,86340470,86626934,86716361,87399489,87626004,88415009,88557054,89410599,89525729,89968656,90111398,90179609,90472620,90968189,90971177,91617545,92042896,92227697,92376086,92504765,92545037,93595527,94638974,94990398,95947412,96330924,96349524,96504128,96919421,97946489,98201238,99589565,99676934,...,178541709469227794257480672398791487035857506622057201548600382074054045209662346327514898505227870311843076515691754496631169994233248463440434460622271186038259117002771337432022864444633317792629705933355013762001524047723238986709704933584758646888503136876195257337914910608941684952711882896617286551166459385725857050364793784213017279517605814194050985317640395106903186780141302534757276336369111643766362400742314229355643584407310359950882319909177117388405287435421453896418591049551635964166440216009359981822175158997848760236039576520993509491329286036772709822587395491465570697641590943655828967905253818271892589382437098274535931523521202768014662138355371721493090616540174379231510232137815550112051831358998518234769327227216735784632936100686270362430847644060215974734562325655985849719316712174939999727404306469072976789156816512563180408799414746361345009206784090462008798510967666592357212478968220354608147650858352397566545945582355109538615079575077178458175271518584678284366842745579121485130233259353007158997076097522927064127990559422252468789055289498274847629758001949729824977042087773132748509147807225140309233743714327221103079562851138487758598041125209739314108863940833822160085538156333794375416982412860389102538873796127366887442812244186391526648425343068917634319609957534199684229648476006509859094717476064620327708326746131333322936276617388878126702876046511801002043160646261517807910662333850713655381603510058836772693667672973435917174051875111445208414728052362431437707328489886059073766918200847548368906317540667040113439356036905920278259617487552521594526883766352780649845369748134463225000745263755374377103080308752069702407430550618607860988103341754783454022451688686259963135089686587837232241163827489529398007492392292603526878716977870128301527680532007615105348157539623440752591728979650013937144564354056958342580757508906913624158957685653575977411867029383198748685336242274275059810430867599693815352223071471419225053101489353917600126584196504684238051227717865430087020052285839501755881405801012380894343685614394357502710566035254142468979493314845504859689033688496072068361289822983686040482070711138055102082474935697993646343460601375616244288480197449426164270739280223213633571779858197360698428189716832629100656544771422315552852099114330003105411499581913875718172807786469758255438690525931259200767800588114424142660625113858848405549781436780989059673478839742683923610101106747257347369572451739461134131164514096685905619141768078983882460795075813224932572161711318408980006650376262049734244720969394730795585381217669264196869942778091921215043422826758393960793552331410304171059788283719994799298888604587468070762180967132407353130449442017790191635898982526514193594565065906155475771238548025331304330482827265997470579747191296782739317838637795638922705399887217611995512788637943703700305304947523727605188218931515934105406906118571743991654621765039646270883780952189490999686202789639850046406218470870387181022091677896671552303294676444504489954946719955352601378551538852713177148263703104991820200565422457000484918154386019877300243206856014586604421743017295383758331787139301829556398218562639177116805601507981198353327981427673241577387426720245890032499817696617120715896527939522071463565677230699411485612904492571255880171075816789669653009667665074671182164820959462349477321673064001466240619490811611849168628824308190079587129452911341931065562096956709479089581849799538733435466109504686272707347399430260665216871864689842054352560112620175273324262017139283844405684726471805764137394105490084443906980664075430412834860409008255608938940627984909237758696971731267291231619779363865458587755647660708212928413158288435578139019107146791428594948352234782878586949853277126506945028471063354705232656157404536636263166224256160391373235883892981902437601241134878165315453458011030496612638489090865570074132233086649578731704169073997817232760607753391492736134655722256763990372588545354336459061643499889052461448438690801811502655731875967964763842842109603682800721648822577976436929370254977254731983713280079888610950233865317906044741345627126886340824694705732024167463623766339315137661855936546127692502564452991565982578986394845120141984638576417751064541006554938063552022698513857449501727703255287770988282631640625217118686213927098399904631346378609998962167598906695951710183846015549699179744308396010444482269186734289309747437593804456431495117404323229202662114540949790950919652378545022876115079883887419374112498384569254136611105744929563199555297624016015660306639710960381811702767869380235246563575371504233495095201217912590064998386916035045257331033712024195409500752363317887045721376120881414316260238594557745360439105716693339776259094903910076653935857724047292139331630508998598207705106753738520275377964279148444603575839372}
30800 3253686016087862718248332022639071321397542915226453082524503165963001130167458727824237: {584839,1046554,1138231,1322551,2243071,2522074,2831116,2978191,3161791,3201224,3601377,4261879,4363234,4627999,4810951,4993831,5078865,5417456,6094638,6200794,6690202,6818671,7364719,7541345,7629224,7790434,8273359,8401114,8582877,8636311,8770305,9049614,9104072,9133402,9354992,9361351,10085239,10196716,10230754,10242081,10524366,10773350,10931692,10985961,11349271,12069991,12429919,12928020,13078525,13134892,13148911,13201617,13381905,13789888,14274032,14607202,14728474,14762431,15390500,15513624,15694230,16058286,16370119,16424602,16469672,16548391,16740512,17150554,17438671,17452827,18468600,18504631,18528381,18617665,18682039,18721474,18833076,19036639,19602401,19699840,19921879,20169154,20777175,20805319,21253402,21334519,22162320,22336354,22341198,23349117,23620231,23639808,23820872,24321079,24858202,24932610,25544791,26176354,26416711,26594784,26671521,26798481,27460639,27731674,27981631,28003430,28848511,29045602,29212492,29434449,29713591,29761474,29919132,30921679,31394092,33155911,33173294,33371345,33498559,33604116,33688474,34669901,34695559,35467714,35548399,35889031,36077961,36296794,36394905,36399439,37016744,37243354,37992305,38480072,38821232,39110671,39723202,39841114,39942824,40004900,40045614,40988505,41131999,41643837,42195994,42263212,42641191,42666202,43290081,43644079,43673886,43705697,43721072,43723234,44427202,44810839,44935677,45006269,45130594,45309799,45590766,46139959,46184602,46968319,47237314,47299159,47390420,47414505,47464471,47590361,47673350,48005880,48454831,48522202,48619639,49186206,49442599,49528430,50099671,50271202,50575472,50591719,51206272,51573871,51737311,52481434,52713754,53522301,54006615,54017911,54180271,54342559,54503212,54917602,55516385,55799911,56537794,56868504,56897406,57188417,57208020,57251431,57412351,57607056,57894679,58376359,58906184,59434116,59825469,59977279,60114202,60248865,60615631,60949516,61021888,61093639,61252831,61411951,61839202,62365159,62436710,62999191,63473959,63717025,63977067,64263799,64265456,64294670,64374401,64807938,65091369,65209231,65602145,66269457,66619662,66992602,67405159,67625672,67700600,67873879,67986230,68487105,68649624,69541577,70296514,70754900,70827391,71291359,71641516,72000154,72298638,72352012,72680602,72793954,72796521,73052912,73754911,73987617,74924052,75285271,75590479,76078881,76163175,76200031,76352239,76460430,76525594,76656439,77112199,77153604,77230827,77489725,78475591,78722574,79230511,79441132,79833151,80053149,80127514,80537534,81240720,81334711,81557792,81562252,81583476,82184526,82232191,82258402,82268716,82818202,83055081,83424799,83566769,84095517,84316231,84441112,84612799,84905880,84909079,85044297,85057111,85164994,85611202,86091319,86280034,86656768,86662525,87170914,87562639,88364861,88505314,88734511,88831757,89195300,89333672,89756119,90047359,90157089,90566272,91064431,91209439,91320105,91395810,91609954,91752516,91788751,91963430,92511271,92943919,92987670,93267994,93717350,93819874,93950911,94481602,94668031,94996251,95519115,95954311,96239359,96524119,96666391,96780398,96950719,97122754,97232602,97408112,97488864,98235489,98768794,99186848,99345110,99637471,99647661,...,267812564203841691386221008598187230553786259933085802322900573111081067814493519491272347757841805467764614773537631744946754991349872695160651690933406779057388675504157006148034296666949976688944558900032520643002286071584858480064557400377137970332754705314292886006872365913412527429067824344925929826749689078588785575547190676319525919276408721291076477976460592660354780170211953802135914504553667465649543601113471344033465376610965539926323479863765676082607931153132180844627886574327453946249660324014039972733262738496773140354059364781490264236993929055159064733881093237198356046462386415483743451857880727407838884073655647411803897285281804152021993207533057582239635924810261568847265348206723325168077747038497777352153990840825103676949404151029405543646271466090323962101843488483978774578975068262409999591106459703609465183735224768844770613199122119542017513810176135693013197766451499888535818718452330531912221476287528596349818918373532664307922619362615767687262907277877017426550264118368682227695349889029510738495614146284390596191985839133378703183582934247412271444637002924594737465563131659699122763721710837710463850615571490831654619344276707731637897061687814608971163295911250733240128307234500691563125473619290583653808310694191050331164218366279587289972638014603376451479414936301299526344472714009764788642076214096930491562490119196999984404414926083317190054314069767701503064740969392276711865993500776070483072405265088255159040501509460153875761077812667167812622092078543647156560992734829088610650377301271322553359476311000560170159034055358880417389426231328782391790325649529170974768054622201694837501117895633061565654620463128104553611145825927911791482155012632175181033677533029389944702634529881755848361745741234294097011238588438905290318075466805192452291520798011422658022236309435161128887593469475020905716846531085437513871136263360370436238436528480363966117800544074798123028004363411412589715646301399540723028334607207128837579652234030876400189876294757026357076841576798145130530078428759252633822108701518571341515528421591536254065849052881213703469239972268257289533550532744108102541934734475529060723106066707082653123712403546990469515190902063424366432720296174139246406108920334820450357669787296041047642284575248943650984817157133473329278148671495004658117249372870813577259211679704637383158035788896888801151700882171636213990937670788272608324672155171483589510218259614025885415151660120886021054358677609191701196746771145028858428712652118475823691192613719837398858242566977613470009975564393074601367081454092096193378071826503896295304914167137881822565134240137590941190328497115456256589682425579992198948332906881202106143271450698611029695674163026685287453848473789771290391847598859233213656857822037996956495724240898996205869620786945174108976757956693458384058099830826417993269182956915555550457957421285591407782328397273901158110359177857615987481932647559469406325671428284236499529304184459775069609327706305580771533137516845007328454942014666756734932420079933028902067827308279069765722395554657487730300848133685500727377231579029815950364810284021879906632614525943075637497680708952744334597327843958765675208402261971797529991972141509862366081140080368835048749726544925681073844791909283107195348515846049117228419356738856883820256613725184504479514501497612006773247231439193524215982509596002199360929236217417773752943236462285119380694179367012896598343145435064218634372774699308100153199164257029409061021099145390997825307797034763081528840168930262909986393025708925766608527089707708646206091158235126665860470996113145619252290613512383413408410941977363856638045457596900936847429669045798187881633471491062319392619737432653367208528660720187142892422528352174317880424779915689760417542706595032057848984236106804954394749336384240587059853825839472853656401861702317247973180187016545744918957733636298355111198349629974368097556253610996725849140911630087239104201983583385145985558882818031504688592465249833578692172658036202717253983597813951947145764263164405524201082473233866964655394055382465882097975569920119832916425350797976859067112018440690329511237042058598036251195435649508972706492783904819191538753846679487348973868479592267680212976957864626626596811509832407095328034047770786174252591554882931656482423947460937825678029320890647599856947019567914998443251398360043927565275769023324548769616462594015666723403780101433964621156390706684647242676106484843803993171811424686426379478567817534314172619825831129061168747576853881204916658617394344799332946436024023490459959566440572717554151804070352869845363057256350242642801826868885097497580374052567885996550568036293114251128544976830568582064181322121474390357891836618040658658575040009664388642355865114980903786586070938208997445763497897311557660130607780413066946418722666905363759058}
30801 3263660780416662469373427061757876139241687323331288870604715817267704004434298175983273: {1569831,2801071,3538895,3783111,4001530,4246674,4740274,4801836,5754551,6544851,6675571,6771820,7966063,8126184,8185618,9141957,9301191,9536530,10035303,10401274,11105443,11380090,11443836,11685651,11693740,12066152,12395071,12489778,12601671,12745895,13574421,13656108,13664615,13700103,14032488,14410963,14647948,15295074,15346131,15786549,16160025,16397538,16418615,17237360,17602156,17842540,18396274,19238125,19392030,19702338,19872898,20587090,20684832,20843263,20925640,20976274,21411048,21910803,22092711,23085750,23190778,23270436,23541345,24087429,24366511,24624800,24636903,24704508,25110768,25725831,26881618,27702900,28035491,28082211,28249614,29549760,29776090,29788264,30253731,31132156,31519744,31880103,32389651,33243480,33504531,33511797,33670063,33968578,34095479,34949971,35459712,35562028,35731308,36515615,37070591,37287303,37398915,38131511,38255938,39242615,39245932,39264531,39892176,40959091,41235634,41597511,42005145,42065263,43568403,43818738,44253538,44642211,44805488,44878698,46085203,46270930,47091138,47135218,48100090,48103948,48526540,49759941,49928530,50006125,50144531,50406174,50532711,50621311,51542911,52549943,52829015,53201571,53394152,54445191,54651340,55382743,55525116,55801463,55865031,56232274,57720108,58231848,58293274,58918991,59172463,59183951,59238025,59584803,59761671,59914236,60007350,60068421,60140431,60787688,61884178,62517871,62820383,63072178,63219340,63293991,63394818,63770131,63921298,63999303,64007840,65510829,65581608,65584851,66257074,66295031,66640803,66726311,67695891,67831763,68129015,68386149,69276903,69296671,69467311,70855971,71032858,71085630,71262671,71363068,71510025,72008820,72783303,73632730,73779309,73868423,73885973,74292645,75406803,75481331,75824672,75863208,76097863,76186895,76277360,76633138,76809408,77397658,78108034,78166963,78195298,78317591,78722151,79070631,79245488,79767292,80331820,80518231,80928163,81754818,82376403,82468258,83872711,84318179,84532090,84625750,84806691,85181218,85232098,85302756,85346109,85666834,85812030,86410584,86788492,86938618,87880339,88359276,88443625,88826216,89151174,89335679,89551895,89835359,90171303,90440015,90974143,91316140,91424274,91532832,92758803,93655065,93724642,94303319,95964503,96398184,96442005,96818338,97062028,97211907,98291831,98650156,99301415,99335471,99683458,99898736,99929493,...,401718846305762537079331512897280845830679389899628703484350859666621601721740279236908521636762708201646922160306447617420132487024809042740977536400110168586083013256235509222051445000424965033416838350048780964503429107377287720096836100565706955499132057971439329010308548870118791143601736517388894740124533617883178363320786014479288878914613081936614716964690888990532170255317930703203871756830501198474315401670207016050198064916448309889485219795648514123911896729698271266941829861491180919374490486021059959099894107745159710531089047172235396355490893582738597100821639855797534069693579623225615177786821091111758326110483471117705845927922706228032989811299586373359453887215392353270898022310084987752116620557746666028230986261237655515424106226544108315469407199135485943152765232725968161868462602393614999386659689555414197775602837153267155919798683179313026270715264203539519796649677249832803728077678495797868332214431292894524728377560298996461883929043923651530894360916815526139825396177553023341543024833544266107743421219426585894287978758700068054775374401371118407166955504386892106198344697489548684145582566256565695775923357236247481929016415061597456845592531721913456744943866876099860192460851751037344688210428935875480712466041286575496746327549419380934958957021905064677219122404451949289516709071014647182963114321145395737343735178795499976606622389124975785081471104651552254597111454088415067798990251164105724608607897632382738560752264190230813641616719000751718933138117815470734841489102243632915975565951906983830039214466500840255238551083038320626084139346993173587685488474293756462152081933302542256251676843449592348481930694692156830416718738891867687223232518948262771550516299544084917053951794822633772542618611851441145516857882658357935477113200207788678437281197017133987033354464152741693331390204212531358575269796628156270806704395040555654357654792720545949176700816112197184542006545117118884573469452099311084542501910810693256369478351046314600284814442135539535615262365197217695795117643138878950733163052277857012273292632387304381098773579321820555203859958402385934300325799116162153812902101713293591084659100060623979685568605320485704272786353095136549649080444261208869609163380502230675536504680944061571463426862873415476477225735700209993917223007242506987175874059306220365888817519556956074737053683345333201727551323257454320986406506182408912487008232757225384265327389421038828122727490181329031581538016413787551795120156717543287643068978177713735536788920579756098287363850466420205014963346589611902050622181138144290067107739755844442957371250706822733847701360206386411785492745673184384884523638369988298422499360321803159214907176047916544543511244540027931180772710684656935587771398288849820485286733056995434743586361348494308804431180417761163465136935040187576087149746239626989903774435373333325686936131928387111673492595910851737165538766786423981222898971339204109488507142426354749293956276689662604413991559458371157299706275267510992682413022000135102398630119899543353101740962418604648583593331986231595451272200528251091065847368544723925547215426032819859948921788914613456246521063429116501895991765938148512812603392957696294987958212264793549121710120553252573124589817388521610767187863924660793022773769073675842629035108285325730384920587776756719271752246418010159870847158790286323973764394003299041393854326126660629414854693427679071041269050519344897514718152596327951559162048962150229798746385544113591531648718086496737961695552144622293260253395394364979589538563388649912790634561562969309136737352689998790706494169718428878435920268575120112616412966045784957068186395351405271144503568697281822450207236593479088929606148980050812792991080280714338633792528261476820637169873534640626314059892548086773476354160207431592124004576360880589780738759209280484602792553475871959770280524818617378436600454447532666797524444961552146334380416495088773711367445130858656302975375077718978338324227047257032888697874750368038258987054304075880975396720927920718646394746608286301623709850800446983091083073698823146963354880179749374638026196965288600668027661035494266855563087897054376793153474263459059739175857228787308130770019231023460802719388401520319465436796939939895217264748610642992051071656179261378887332324397484723635921191406738517043981335971399785420529351872497664877097540065891347913653534986823154424693891023500085105670152150946931734586060026970864014159727265705989757717137029639569217851726301471258929738746693591753121365280821807374987926091517198999419654036035235689939349660859076331227706105529304768044585884525363964202740303327646246370561078851828994825852054439671376692817465245852873096271983182211585536837754927060987987862560014496582963533797672471355679879106407313496168645246845967336490195911670619600419628084000358045638587}
30802 3273665948137044362909869500198818182768493265632461742741822645966827487207017521360015: {892417,1169678,2093108,2276462,2645102,2733457,3467857,4017901,4486142,5044148,5662232,5956382,6002295,6323582,6370011,6402448,7110411,7202754,8031757,8464775,8523758,8726468,8939137,9255998,9482701,9621902,9987662,10157730,10557883,10748497,10834912,12189276,12278427,12401588,13380404,13637342,13987201,14304795,14524717,14617175,14729438,15082690,15258448,15419137,15580868,15601911,16546718,16802228,17070135,17165754,17272622,17540610,18091597,18099228,18208144,18266804,18309935,18709984,18722702,18734667,19333201,20170478,20393432,20461508,20484162,20571277,21048732,21546700,21863384,21971922,22002695,22303175,22333837,22698542,22942611,23212417,24139982,24596307,24859838,25856040,26064731,26157050,26269784,26297822,26360401,26403234,26763810,27579776,27594411,27752017,28548064,29088045,29214404,29312077,29456948,29524862,29553507,29809347,30176257,30781000,30880635,31027248,31210897,31388460,31464411,31555201,32116572,32740238,32849204,32939344,33096782,33481024,34301108,34628625,34786167,34877342,34905654,36345217,36937200,37009262,37056762,37235330,37364078,37442948,37666152,38073278,38380801,38888077,38915195,39204802,39399680,39843758,40322427,40338308,40406017,41554350,41610638,42253357,42374421,42506804,42669038,43925197,44324640,44452535,44664135,44672708,44682396,45589837,45921901,46698234,46719883,46750801,47240462,47279616,47641744,48642158,49057415,49716404,49865220,50952867,51089582,52352708,52828717,52833422,53189227,53189568,53343042,53596962,54921278,54940801,55463348,55749901,55963262,56006860,57383907,57697022,58091204,58424984,58868898,59427182,59522948,59838264,60129935,60247597,60658175,61363201,61681297,61843358,61853451,62788184,63279491,64057837,65728107,65790337,66311822,66346588,66380307,66574957,66742690,66997118,67208232,67318047,67376948,67586311,67982737,68138797,68314175,69339802,69391118,69406395,70636707,70702827,70935428,71096798,71778062,72150135,72155922,72593588,72789810,72798878,73094701,73862401,74033488,74486708,74892795,75609261,75697537,75984610,76960144,77642464,77722939,78221342,78430801,78884077,79024175,79446404,79682228,79885648,79939201,80009800,80091228,81140737,81977010,82263998,83287674,83381197,83678701,83975917,84348411,84391988,84526424,85282382,85332404,85596731,86580162,87288158,87347772,87411394,87439911,87442144,87446468,88106701,88838401,88854404,89203835,89568301,89621678,89871354,90011025,90012538,90261188,90619598,91181532,91312717,91843003,92279918,92369204,92469901,92826267,93936638,94474628,94598318,94608267,94780840,94829010,94928942,95092227,95180722,95346700,95881947,96011760,96909662,97044404,97239278,97776503,98372412,98469517,98760727,98885198,99056860,99316237,99385611,99709115,...,535625128407683382772442017196374461107572519866171604645801146222162135628987038982544695515683610935529229547075263489893509982699745390321303381866813558114777351008314012296068593333899953377889117800065041286004572143169716960129114800754275940665509410628585772013744731826825054858135648689851859653499378157177571151094381352639051838552817442582152955952921185320709560340423907604271829009107334931299087202226942688066930753221931079852646959727531352165215862306264361689255773148654907892499320648028079945466525476993546280708118729562980528473987858110318129467762186474396712092924772830967486903715761454815677768147311294823607794570563608304043986415066115164479271849620523137694530696413446650336155494076995554704307981681650207353898808302058811087292542932180647924203686976967957549157950136524819999182212919407218930367470449537689541226398244239084035027620352271386026395532902999777071637436904661063824442952575057192699637836747065328615845238725231535374525814555754034853100528236737364455390699778059021476991228292568781192383971678266757406367165868494824542889274005849189474931126263319398245527443421675420927701231142981663309238688553415463275794123375629217942326591822501466480256614469001383126250947238581167307616621388382100662328436732559174579945276029206752902958829872602599052688945428019529577284152428193860983124980238393999968808829852166634380108628139535403006129481938784553423731987001552140966144810530176510318081003018920307751522155625334335625244184157087294313121985469658177221300754602542645106718952622001120340318068110717760834778852462657564783580651299058341949536109244403389675002235791266123131309240926256209107222291651855823582964310025264350362067355066058779889405269059763511696723491482468588194022477176877810580636150933610384904583041596022845316044472618870322257775186938950041811433693062170875027742272526720740872476873056960727932235601088149596246056008726822825179431292602799081446056669214414257675159304468061752800379752589514052714153683153596290261060156857518505267644217403037142683031056843183072508131698105762427406938479944536514579067101065488216205083869468951058121446212133414165306247424807093980939030381804126848732865440592348278492812217840669640900715339574592082095284569150497887301969634314266946658556297342990009316234498745741627154518423359409274766316071577793777602303401764343272427981875341576545216649344310342967179020436519228051770830303320241772042108717355218383402393493542290057716857425304236951647382385227439674797716485133955226940019951128786149202734162908184192386756143653007792590609828334275763645130268480275181882380656994230912513179364851159984397896665813762404212286542901397222059391348326053370574907696947579542580783695197718466427313715644075993912991448481797992411739241573890348217953515913386916768116199661652835986538365913831111100915914842571182815564656794547802316220718355715231974963865295118938812651342856568472999058608368919550139218655412611161543066275033690014656909884029333513469864840159866057804135654616558139531444791109314975460601696267371001454754463158059631900729620568043759813265229051886151274995361417905488669194655687917531350416804523943595059983944283019724732162280160737670097499453089851362147689583818566214390697031692098234456838713477713767640513227450369008959029002995224013546494462878387048431965019192004398721858472434835547505886472924570238761388358734025793196686290870128437268745549398616200306398328514058818122042198290781995650615594069526163057680337860525819972786051417851533217054179415417292412182316470253331720941992226291238504581227024766826816821883954727713276090915193801873694859338091596375763266942982124638785239474865306734417057321440374285784845056704348635760849559831379520835085413190064115697968472213609908789498672768481174119707651678945707312803723404634495946360374033091489837915467272596710222396699259948736195112507221993451698281823260174478208403967166770291971117765636063009377184930499667157384345316072405434507967195627903894291528526328811048402164946467733929310788110764931764195951139840239665832850701595953718134224036881380659022474084117196072502390871299017945412985567809638383077507693358974697947736959184535360425953915729253253193623019664814190656068095541572348505183109765863312964847894921875651356058641781295199713894039135829996886502796720087855130551538046649097539232925188031333446807560202867929242312781413369294485352212969687607986343622849372852758957135635068628345239651662258122337495153707762409833317234788689598665892872048046980919919132881145435108303608140705739690726114512700485285603653737770194995160748105135771993101136072586228502257089953661137164128362644242948780715783673236081317317150080019328777284711730229961807573172141876417994891526995794623115320261215560826133892837445333810727518116}
30803 3283701611385529423414084019502849287445907524833943069234607465278665738199627275205161: {30803,1754517,2616385,3139662,3414693,3724501,3967653,4954453,5602142,6305185,6431557,6729213,6800833,7077790,7566222,8003060,8493348,8934573,9480548,9485373,9603672,9813397,10804131,10908085,11509102,12028333,12785637,13089702,13351142,13543640,13883997,14432853,14981493,15163201,15236595,15501985,15932126,16252368,16270453,16371236,16725505,17844253,18283914,18602382,19073060,19130461,19476085,20070606,20456013,20802548,21002785,22094157,22210886,22624035,22760180,22833505,22887672,22986061,23371302,23387480,24132304,24790142,24820077,24979556,25203342,25491790,25576885,25748631,25908933,26310915,26689597,26933375,27148842,27312216,27329230,27400206,28064976,28084053,28821926,29295896,30058237,30255717,30590148,30692262,30726243,30819181,31573098,32320050,32795076,32837230,32957883,33132853,34047813,34474720,34770637,35204312,35685080,36209973,36518005,36792548,36821185,37289757,37456213,38114833,38476250,38784060,39235575,39404676,39446733,39604851,39745796,40145715,40294657,41061505,41174180,41239501,41369664,41431837,41686526,41851280,41880901,41952548,42822096,42876385,43321933,43821606,44182501,44185422,44287293,45064513,46171500,46381556,46444561,46540872,46803685,47082690,47328733,48174858,48733022,49110357,49249600,49273806,49409016,49645173,50221536,50223877,50422885,50606161,51121861,51451662,51557053,52316013,52358481,53133505,53763236,54331297,54939661,55405800,55513893,55585143,55840885,55852995,56046117,56070982,56164422,56174077,56499228,56844481,57109917,58600573,58807203,59099520,59552180,59576528,59663701,59765637,60228193,60507462,62070973,62145505,62264312,62331525,62366341,62415957,63039488,63217477,63760206,64003557,64779302,65440885,65850637,66486960,66968077,67009062,67023594,67033381,67340126,67937156,68190958,69329185,69899942,69981253,70008575,70047351,70860693,70919424,71124056,71381521,71462616,72614005,72673813,72963237,73031230,73960621,74141182,74270557,74403685,74574606,74797830,76263022,76481173,76511876,76634373,76892197,77603521,78322717,78348673,78485230,78491864,78529062,78962797,79250133,79784352,80014563,80323837,80395443,81918182,82381917,82471268,82933235,83195022,83944893,84010290,84130526,84221185,85122781,86227873,86294401,86545533,87136806,87637476,88303347,88320397,88507076,88669285,89140773,89284422,89610976,89757396,90741985,91614277,91852177,92170406,92345437,92541860,92557153,92765037,93108385,93693517,94182276,94270436,94974517,95380621,96030901,96200180,96207896,96556093,96639661,97053080,99217537,99308005,99467733,99519882,99602785,99648757,99857060,...,803437692611525074158663025794561691661358779799257406968701719333243203443480558473817043273525416403293844320612895234840264974049618085481955072800220337172166026512471018444102890000849930066833676700097561929006858214754575440193672201131413910998264115942878658020617097740237582287203473034777789480249067235766356726641572028958577757829226163873229433929381777981064340510635861406407743513661002396948630803340414032100396129832896619778970439591297028247823793459396542533883659722982361838748980972042119918199788215490319421062178094344470792710981787165477194201643279711595068139387159246451230355573642182223516652220966942235411691855845412456065979622599172746718907774430784706541796044620169975504233241115493332056461972522475311030848212453088216630938814398270971886305530465451936323736925204787229998773319379110828395551205674306534311839597366358626052541430528407079039593299354499665607456155356991595736664428862585789049456755120597992923767858087847303061788721833631052279650792355106046683086049667088532215486842438853171788575957517400136109550748802742236814333911008773784212396689394979097368291165132513131391551846714472494963858032830123194913691185063443826913489887733752199720384921703502074689376420857871750961424932082573150993492655098838761869917914043810129354438244808903898579033418142029294365926228642290791474687470357590999953213244778249951570162942209303104509194222908176830135597980502328211449217215795264765477121504528380461627283233438001503437866276235630941469682978204487265831951131903813967660078428933001680510477102166076641252168278693986347175370976948587512924304163866605084512503353686899184696963861389384313660833437477783735374446465037896525543101032599088169834107903589645267545085237223702882291033715765316715870954226400415577356874562394034267974066708928305483386662780408425062717150539593256312541613408790081111308715309585441091898353401632224394369084013090234237769146938904198622169085003821621386512738956702092629200569628884271079071230524730394435391590235286277757901466326104555714024546585264774608762197547158643641110407719916804771868600651598232324307625804203426587182169318200121247959371137210640971408545572706190273099298160888522417739218326761004461351073009361888123142926853725746830952954451471400419987834446014485013974351748118612440731777635039113912149474107366690666403455102646514908641972813012364817824974016465514450768530654778842077656245454980362658063163076032827575103590240313435086575286137956355427471073577841159512196574727700932840410029926693179223804101244362276288580134215479511688885914742501413645467695402720412772823570985491346368769769047276739976596844998720643606318429814352095833089087022489080055862361545421369313871175542796577699640970573466113990869487172722696988617608862360835522326930273870080375152174299492479253979807548870746666651373872263856774223346985191821703474331077533572847962445797942678408218977014284852709498587912553379325208827983118916742314599412550535021985364826044000270204797260239799086706203481924837209297167186663972463190902544401056502182131694737089447851094430852065639719897843577829226912493042126858233003791983531876297025625206785915392589975916424529587098243420241106505146249179634777043221534375727849321586045547538147351685258070216570651460769841175553513438543504492836020319741694317580572647947528788006598082787708652253321258829709386855358142082538101038689795029436305192655903118324097924300459597492771088227183063297436172993475923391104289244586520506790788729959179077126777299825581269123125938618273474705379997581412988339436857756871840537150240225232825932091569914136372790702810542289007137394563644900414473186958177859212297960101625585982160561428677267585056522953641274339747069281252628119785096173546952708320414863184248009152721761179561477518418560969205585106951743919540561049637234756873200908895065333595048889923104292668760832990177547422734890261717312605950750155437956676648454094514065777395749500736076517974108608151761950793441855841437292789493216572603247419701600893966182166147397646293926709760359498749276052393930577201336055322070988533711126175794108753586306948526918119478351714457574616261540038462046921605438776803040638930873593879879790434529497221285984102143312358522757774664648794969447271842382813477034087962671942799570841058703744995329754195080131782695827307069973646308849387782047000170211340304301893863469172120053941728028319454531411979515434274059279138435703452602942517859477493387183506242730561643614749975852183034397998839308072070471379878699321718152662455412211058609536089171769050727928405480606655292492741122157703657989651704108879342753385634930491705746192543966364423171073675509854121975975725120028993165927067595344942711359758212814626992337290493691934672980391823341239200839256168000716091277174}
30804 3293767862576245439053286244876928484897825650598436353958950556697155936920475405211281: {707963,953963,1261283,1445579,1784834,2339356,2978579,3101003,3284579,3895979,4186216,4552924,4709493,5116379,5290204,5299163,5466914,6455123,6935714,6940979,7668803,8035802,8403213,8972284,9362579,9483323,9543683,10003825,10088296,10267379,10616685,11324464,11349333,11350763,11850685,11912764,12004590,12191603,12647164,12740022,12804896,13868579,14047883,14220822,14405508,14883683,16063514,16929550,17025683,17047516,17263653,17452936,17878274,17915123,18152003,18329579,18511996,18625379,18965402,19243804,19393523,19634553,19975324,20026713,20315460,20464045,20808083,21102203,21115766,21496994,21669824,22042043,22745579,23841325,23898189,24378552,24556854,24616043,24803176,25633909,25664579,26003185,26245979,26420243,26536379,26760808,27274684,27425871,27903573,27974402,27985379,28101083,28448003,28450225,28609590,28852379,28967843,29049434,29234350,29458876,30105909,30165380,30516896,30803773,30838274,31161736,31203822,31224445,31270403,31614683,32302379,33093436,33316329,33604456,34140270,34331508,34472483,34545244,34700243,35056953,35081220,35325923,36007379,36177563,36183194,36198456,36404363,36416288,36533608,36574379,36619870,37185213,37419968,37445404,37469334,37705979,37805013,38237685,38439803,38666402,38947043,40071923,40240379,40340956,40633163,40723263,40786864,40923016,40968324,40993845,41100309,41142554,42097464,43093400,43148843,43232889,43726768,43761323,43943844,44005390,44606350,44667674,45397084,45426803,45885222,45990685,46038393,46256843,46424834,46643579,47085083,47359647,47746379,48279964,48296579,48480075,48571379,49192614,49255845,49682245,49719676,50598683,51467725,51580979,51712080,51744443,51853379,52129462,52314100,52440685,52539568,52595644,52720802,52806468,53527620,54133643,54295979,54481273,55159552,55188822,55504034,55807643,57096128,57259379,57527579,57714375,57902723,57976945,58176090,58428808,58624154,58913896,59025803,59049724,59107014,59618694,59772563,60352514,61367483,61420523,61562000,61761270,61897523,62054496,62233549,62421794,62529789,62776920,62928822,63110402,63113579,63271883,64233144,64693379,65218379,65480476,65698408,65732409,65847323,65878688,66193564,66278133,66631883,66962048,67049579,67204045,67414643,67987523,68455523,68602216,68611379,68680381,69257250,69572334,69754684,69811308,70624035,70724137,71301443,72262287,72690434,73099533,73151123,73867643,73874400,73910709,74018524,74113524,74440225,74470660,74728156,74784853,74885896,75332304,75702923,76058579,76146556,76761602,77177493,77224403,77776154,77830390,77830979,78409604,78486803,78799360,79342379,79493123,79687516,79694003,79844579,79944923,80596379,80644854,80676616,80812034,80996603,82244003,82343579,83108700,83221276,83436803,83684723,84106473,84181909,84246633,84328379,84427283,84506714,84748842,84921323,84921445,85013608,85069379,85338076,87850394,88015379,88649280,88844843,88905070,89328270,89345416,89364792,89623403,90761193,91179674,91319363,91843802,91898579,92524763,93341579,93396468,93439766,93501602,94480924,94559232,94777379,95283488,95639845,95640309,96205979,96348443,97168953,97284316,97769123,98099579,98114830,98241083,99432808,99730440,99745979,...,1205156538917287611237994538691842537492038169698886110453052578999864805165220837710725564910288124604940766480919342852260397461074427128222932609200330505758249039768706527666154335001274895100250515050146342893510287322131863160290508301697120866497396173914317987030925646610356373430805209552166684220373600853649535089962358043437866636743839245809844150894072666971596510765953792109611615270491503595422946205010621048150594194749344929668455659386945542371735690189094813800825489584473542758123471458063179877299682323235479131593267141516706189066472680748215791302464919567392602209080738869676845533360463273335274978331450413353117537783768118684098969433898759120078361661646177059812694066930254963256349861673239998084692958783712966546272318679632324946408221597406457829458295698177904485605387807180844998159979068666242593326808511459801467759396049537939078812145792610618559389949031749498411184233035487393604996643293878683574185132680896989385651787131770954592683082750446578419476188532659070024629074500632798323230263658279757682863936276100204164326123204113355221500866513160676318595034092468646052436747698769697087327770071708742445787049245184792370536777595165740370234831600628299580577382555253112034064631286807626442137398123859726490238982648258142804876871065715194031657367213355847868550127213043941548889342963436187212031205536386499929819867167374927355244413313954656763791334362265245203396970753492317173825823692897148215682256792570692440924850157002255156799414353446412204524467306730898747926697855720951490117643399502520765715653249114961878252418040979520763056465422881269386456245799907626768755030530348777045445792084076470491250156216675603061669697556844788314651548898632254751161855384467901317627855835554323436550573647975073806431339600623366035311843591051401961100063392458225079994170612637594075725809389884468812420113185121666963072964378161637847530102448336591553626019635351356653720408356297933253627505732432079769108435053138943800854443326406618606845787095591653087385352929416636852199489156833571036819877897161913143296320737965461665611579875207157802900977397348486461438706305139880773253977300181871939056705815961457112818359059285409648947241332783626608827490141506692026609514042832184714390280588620246429431677207100629981751669021727520961527622177918661097666452558670868224211161050035999605182653969772362962959219518547226737461024698271676152795982168263116484368182470543987094744614049241362655385360470152629862929206934533141206610366761739268294862091551399260615044890039768835706151866543414432870201323219267533328872113752120468201543104080619159235356478237019553154653570915109964895267498080965409477644721528143749633630533733620083793542318132053970806763314194866549461455860199170986304230759084045482926413293541253283490395410805120562728261449238718880969711323306119999977060808395785161335020477787732555211496616300359271943668696914017612328465521427279064247881868830068987813241974678375113471899118825802532978047239066000405307195890359698630059305222887255813945750779995958694786353816601584753273197542105634171776641646278098459579846765366743840368739563190287349505687975297814445538437810178873088884963874636794380647365130361659757719373769452165564832301563591773982379068321307221027527887105324855977191154761763330270157815256739254030479612541476370858971921293182009897124181562978379981888244564080283037213123807151558034692544154457788983854677486146886450689396239156632340774594946154259490213885086656433866879780760186183094938768615690165949738371903684688907927410212058069996372119482509155286635307760805725360337849238898137354871204559186054215813433510706091845467350621709780437266788818446940152438378973240842143015901377584784430461911509620603921878942179677644260320429062480622294776372013729082641769342216277627841453808377660427615879310841574455852135309801363342598000392573334884656439003141249485266321134102335392575968908926125233156935014972681141771098666093624251104114776961162912227642926190162783762155939184239824858904871129552401340949273249221096469440890064640539248123914078590895865802004082983106482800566689263691163130379460422790377179217527571686361924392310057693070382408158165204560958396310390819819685651794245831928976153214968537784136661996973192454170907763574220215551131944007914199356261588055617492994631292620197674043740960604960469463274081673070500255317010456452840795203758180080912592042479181797117969273151411088918707653555178904413776789216240080775259364095842465422124963778274551596998258962108105707069818048982577228993683118316587914304133757653576091892608220909982938739111683236555486984477556163319014130078452395737558619288815949546634756610513264781182963963587680043489748890601393017414067039637319221940488505935740537902009470587735011858801258884252001074136915761}
30805 3303864794401758562355180789364835600100810801992490893017995110497802626890725631747047: {61606,2677251,2924195,3509034,3662939,4401683,5232770,5691155,6279324,6612755,6829386,7449002,7600931,7935306,8200371,8827259,9908906,10403571,10490183,11204284,11215355,11597651,12053703,12518099,12610370,12863114,13443431,13458426,13601666,14155580,14890955,15132444,15271319,15808955,16006120,16208939,16947107,16986696,17869146,18006885,18961096,18970746,19110033,19207344,19626794,21309395,21331233,21608262,21702779,21816170,22645799,23018204,23139995,23415707,24054755,24056666,24095271,24969155,25394325,25571274,26179404,26702284,26817411,27087280,27266519,27767994,28448103,28865706,29403899,29962986,30326402,30473190,31003970,31542251,31673649,31863899,31864252,31966907,32245491,32504736,32540906,32742472,32753699,33451010,34093355,34444967,35523371,35688506,35807639,36567828,36823595,36835281,37204764,37706725,38146120,38260922,38952170,40141212,40912026,41092571,41366795,41605096,41961603,42005570,42598931,42914385,43181555,43574151,43851525,44188314,44421772,44769239,45248070,45520360,45667010,45775344,45972122,46091207,46257411,46612859,46742604,46774960,46805733,46806755,48264608,48418631,49580284,49640154,49959112,50406684,50426195,50898023,50983580,51125207,51153770,51210405,51497262,51549659,51817866,51908627,52215683,52621830,52910099,53379194,53866750,54274791,54297684,54624432,54658460,54800412,54921383,54929805,55787351,56129952,56168106,56204001,56559827,56746355,57486107,57643852,57999603,58078283,58591792,59355491,60026939,60116474,60349955,60511434,61180296,61384524,61452486,61638362,61713831,62149595,63146196,63532067,63778439,64640100,64998251,65392625,65525159,65590152,65674460,65744555,65915766,66008085,66197099,66265706,66909525,67001511,67577303,68095626,68827833,68949440,69305699,69541274,69637251,70326827,70408624,70592039,71370160,72419946,72423587,73036010,73585096,73642370,73788921,73812155,74386907,74579514,74912426,76229666,76788203,76952500,77568120,77893511,78177239,78194193,78471150,78645179,78809352,78893466,79081203,79144091,79209702,79491592,79779347,80291430,80589314,80641019,80996003,81754139,81850595,82123010,82348360,82479002,82739328,82741955,82783233,82863674,83256051,83373052,83702560,83761802,83905096,84324659,85644192,85752770,86643866,86733347,87003707,87193355,87264135,87643212,87936231,88008299,88365002,88370844,88574586,88660521,89428041,89703947,90129026,90528771,91617239,92245739,92343000,92523155,92563211,92641905,92763112,92889122,92985299,93081744,93088325,93410195,93607370,93632691,94165380,94393233,94657466,94665603,94928171,95183195,96332771,96349716,97060859,97466044,97932503,97965671,98012005,98220714,98499200,98547612,98818032,99290346,99609395,...,1606875385223050148317326051589123383322717559598514813937403438666486406886961116947634086547050832806587688641225790469680529948099236170963910145600440674344332053024942036888205780001699860133667353400195123858013716429509150880387344402262827821996528231885757316041234195480475164574406946069555578960498134471532713453283144057917155515658452327746458867858763555962128681021271722812815487027322004793897261606680828064200792259665793239557940879182594056495647586918793085067767319445964723677497961944084239836399576430980638842124356188688941585421963574330954388403286559423190136278774318492902460711147284364447033304441933884470823383711690824912131959245198345493437815548861569413083592089240339951008466482230986664112923945044950622061696424906176433261877628796541943772611060930903872647473850409574459997546638758221656791102411348613068623679194732717252105082861056814158079186598708999331214912310713983191473328857725171578098913510241195985847535716175694606123577443667262104559301584710212093366172099334177064430973684877706343577151915034800272219101497605484473628667822017547568424793378789958194736582330265026262783103693428944989927716065660246389827382370126887653826979775467504399440769843407004149378752841715743501922849864165146301986985310197677523739835828087620258708876489617807797158066836284058588731852457284581582949374940715181999906426489556499903140325884418606209018388445816353660271195961004656422898434431590529530954243009056760923254566466876003006875732552471261882939365956408974531663902263807627935320156857866003361020954204332153282504336557387972694350741953897175025848608327733210169025006707373798369393927722778768627321666874955567470748892930075793051086202065198176339668215807179290535090170474447405764582067431530633431741908452800831154713749124788068535948133417856610966773325560816850125434301079186512625083226817580162222617430619170882183796706803264448788738168026180468475538293877808397244338170007643242773025477913404185258401139257768542158142461049460788870783180470572555515802932652209111428049093170529549217524395094317287282220815439833609543737201303196464648615251608406853174364338636400242495918742274421281942817091145412380546198596321777044835478436653522008922702146018723776246285853707451493661905908902942800839975668892028970027948703496237224881463555270078227824298948214733381332806910205293029817283945626024729635649948032931028901537061309557684155312490909960725316126326152065655150207180480626870173150572275912710854942147155682319024393149455401865680820059853386358447608202488724552577160268430959023377771829485002827290935390805440825545647141970982692737539538094553479953193689997441287212636859628704191666178174044978160111724723090842738627742351085593155399281941146932227981738974345445393977235217724721671044653860547740160750304348598984958507959615097741493333302747744527713548446693970383643406948662155067145695924891595885356816437954028569705418997175825106758650417655966237833484629198825101070043970729652088000540409594520479598173412406963849674418594334373327944926381805088802113004364263389474178895702188861704131279439795687155658453824986084253716466007583967063752594051250413571830785179951832849059174196486840482213010292498359269554086443068751455698643172091095076294703370516140433141302921539682351107026877087008985672040639483388635161145295895057576013196165575417304506642517659418773710716284165076202077379590058872610385311806236648195848600919194985542176454366126594872345986951846782208578489173041013581577459918358154253554599651162538246251877236546949410759995162825976678873715513743681074300480450465651864183139828272745581405621084578014274789127289800828946373916355718424595920203251171964321122857354535170113045907282548679494138562505256239570192347093905416640829726368496018305443522359122955036837121938411170213903487839081122099274469513746401817790130667190097779846208585337521665980355094845469780523434625211901500310875913353296908189028131554791499001472153035948217216303523901586883711682874585578986433145206494839403201787932364332294795292587853419520718997498552104787861154402672110644141977067422252351588217507172613897053836238956703428915149232523080076924093843210877553606081277861747187759759580869058994442571968204286624717045515549329297589938894543684765626954068175925343885599141682117407489990659508390160263565391654614139947292617698775564094000340422680608603787726938344240107883456056638909062823959030868548118558276871406905205885035718954986774367012485461123287229499951704366068795997678616144140942759757398643436305324910824422117219072178343538101455856810961213310584985482244315407315979303408217758685506771269860983411492385087932728846342147351019708243951951450240057986331854135190689885422719516425629253984674580987383869345960783646682478401678512336001432182554348}
30806 3313992499833907387720973672490870732447542764661089001784181345500490122808044187544065: {92409,1322809,1415926,1907926,2427433,2522566,2891158,3162409,3345973,3569668,4678712,4811893,4994809,5263551,5957158,6202006,6569158,7002133,7791958,7849155,8372432,8456533,9105848,9418986,9544309,10232758,10244079,10268053,10580408,10598326,10933828,11173503,11531833,11902959,12910246,13331113,13871428,13881958,14005355,14765353,14863359,15123193,15337606,16071604,16551673,16590959,16806426,17694475,17944568,18685753,18725158,18915555,18966646,19087366,19294671,20007650,20176592,20187639,20279509,20402499,20534758,21233370,21338773,22648928,22698666,22701526,23701370,23825528,24009180,24383206,24676009,25294328,25480044,25609792,25724473,26803719,27737158,28095766,28441644,28456119,28649663,28772755,28811016,29440191,29767366,32127028,32412393,32724255,33334009,33377855,33859100,34051366,34095032,34527306,34905872,35756548,35830246,36084999,36304006,36404459,36576853,36659158,37023992,37250758,37765033,37930804,38356911,38487608,38787046,39269106,39830315,39950648,40053426,40630920,40928090,40958863,41616166,41651991,41812009,42204406,42231532,42817273,42993988,43298559,43339648,43714223,44084086,44944479,45489603,45491158,45709785,46505955,46646773,47474233,47682650,47796378,48629653,48757104,48811359,49113708,49232086,49606352,50176515,50766073,51267818,51329158,51748009,51911413,52006370,52491958,52840486,53072758,53521616,53532759,54191509,54353833,54549368,54851742,55527215,55807146,55948804,55970758,56202166,56896006,56900450,57219180,57391383,57424309,57585193,57704758,57935686,58067413,58098868,58428255,58468700,58917752,59029909,59830009,60211818,60330760,61033792,61265653,61368039,61424809,61607546,61676548,61975355,62323472,62378233,62407644,62448890,62540806,63008355,63012409,63229366,63729475,64386959,64604758,64750453,65380309,66186872,66282471,66632658,67208912,67575733,67872105,68280540,68323075,68500515,68663016,68944966,68958183,69090488,69400486,69555143,70113906,70162440,70651846,72014758,72054815,72355126,72366388,72396912,72808726,72832576,73067216,73148758,73239740,73416959,74370426,74460231,74839936,74890808,74938668,75411958,75454009,75610026,76063993,76368553,76475370,76730655,76879606,77128693,77245893,77332804,77726799,77894086,78932745,80068791,80143846,80480758,80602153,80681912,80800125,81167723,81266326,81446526,81573728,81846032,81936648,81987690,82093075,82200618,82285108,83583071,84194928,84252159,85075513,86109973,86186800,86297686,86465778,87453536,87522646,87887688,88010780,88382099,89212700,89335348,90174711,90767151,90794168,90853606,91229353,91770444,91981370,92076786,92178729,92457543,92513686,92849668,93287158,94085663,94170166,94719294,94832053,95492758,96190625,96260533,96559928,96593158,96687673,96960150,97142758,98385228,98511690,98873649,99364490,99398559,99439352,...,2410313077834575222475989077383685074984076339397772220906105157999729610330441675421451129820576249209881532961838685704520794922148854256445865218400661011516498079537413055332308670002549790200501030100292685787020574644263726320581016603394241732994792347828635974061851293220712746861610419104333368440747201707299070179924716086875733273487678491619688301788145333943193021531907584219223230540983007190845892410021242096301188389498689859336911318773891084743471380378189627601650979168947085516246942916126359754599364646470958263186534283033412378132945361496431582604929839134785204418161477739353691066720926546670549956662900826706235075567536237368197938867797518240156723323292354119625388133860509926512699723346479996169385917567425933092544637359264649892816443194812915658916591396355808971210775614361689996319958137332485186653617022919602935518792099075878157624291585221237118779898063498996822368466070974787209993286587757367148370265361793978771303574263541909185366165500893156838952377065318140049258149001265596646460527316559515365727872552200408328652246408226710443001733026321352637190068184937292104873495397539394174655540143417484891574098490369584741073555190331480740469663201256599161154765110506224068129262573615252884274796247719452980477965296516285609753742131430388063314734426711695737100254426087883097778685926872374424062411072772999859639734334749854710488826627909313527582668724530490406793941506984634347651647385794296431364513585141384881849700314004510313598828706892824409048934613461797495853395711441902980235286799005041531431306498229923756504836081959041526112930845762538772912491599815253537510061060697554090891584168152940982500312433351206123339395113689576629303097797264509502323710768935802635255711671108646873101147295950147612862679201246732070623687182102803922200126784916450159988341225275188151451618779768937624840226370243333926145928756323275695060204896673183107252039270702713307440816712595866507255011464864159538216870106277887601708886652813237213691574191183306174770705858833273704398978313667142073639755794323826286592641475930923331223159750414315605801954794696972922877412610279761546507954600363743878113411631922914225636718118570819297894482665567253217654980283013384053219028085664369428780561177240492858863354414201259963503338043455041923055244355837322195332905117341736448422322100071999210365307939544725925918439037094453474922049396543352305591964336526232968736364941087974189489228098482725310770720940305259725858413869066282413220733523478536589724183102798521230089780079537671412303733086828865740402646438535066657744227504240936403086208161238318470712956474039106309307141830219929790534996161930818955289443056287499267261067467240167587084636264107941613526628389733098922911720398341972608461518168090965852826587082506566980790821610241125456522898477437761939422646612239999954121616791570322670040955575465110422993232600718543887337393828035224656931042854558128495763737660137975626483949356750226943798237651605065956094478132000810614391780719397260118610445774511627891501559991917389572707633203169506546395084211268343553283292556196919159693530733487680737479126380574699011375950595628891076875620357746177769927749273588761294730260723319515438747538904331129664603127183547964758136642614442055055774210649711954382309523526660540315630513478508060959225082952741717943842586364019794248363125956759963776489128160566074426247614303116069385088308915577967709354972293772901378792478313264681549189892308518980427770173312867733759561520372366189877537231380331899476743807369377815854820424116139992744238965018310573270615521611450720675698477796274709742409118372108431626867021412183690934701243419560874533577636893880304876757946481684286031802755169568860923823019241207843757884359355288520640858124961244589552744027458165283538684432555255682907616755320855231758621683148911704270619602726685196000785146669769312878006282498970532642268204670785151937817852250466313870029945362283542197332187248502208229553922325824455285852380325567524311878368479649717809742259104802681898546498442192938881780129281078496247828157181791731604008165966212965601133378527382326260758920845580754358435055143372723848784620115386140764816316330409121916792620781639639371303588491663857952306429937075568273323993946384908341815527148440431102263888015828398712523176111234985989262585240395348087481921209920938926548163346141000510634020912905681590407516360161825184084958363594235938546302822177837415307110357808827553578432480161550518728191684930844249927556549103193996517924216211414139636097965154457987366236633175828608267515307152183785216441819965877478223366473110973968955112326638028260156904791475117238577631899093269513221026529562365927927175360086979497781202786034828134079274638443880977011871481075804018941175470023717602517768504002148273831522}
30807 3324151072124639513035636961350542290362937786139531119498684863575378637868615101637130: {123212,2123889,2861889,3783849,4093873,4336737,4462085,5201989,5354502,5848390,7018068,7325878,7785569,7967617,8803366,8893397,8935737,9257857,9303009,9853737,10465540,11382310,11687937,12397489,12558648,13225510,13658772,13667285,14128479,14794117,14898004,15201862,15349137,15701497,15870612,15897489,16400742,17339285,17654518,18115873,19365369,19817812,20089505,20807142,20822937,20847337,20980366,22132537,22408568,22430710,23006409,23195302,24107406,25036198,25209639,25220740,25726228,26763217,26886862,26916852,27203332,28040969,28087737,28311160,28449969,28631049,29781910,29833153,30011475,30062153,30264888,30542638,30802137,31617910,31850055,32012240,32395993,32417878,33676657,33894214,33973392,34047999,34052289,34956817,35552055,35612593,35738292,36013770,36120953,36574809,37922192,37941492,38220066,38414688,38708917,39253588,40158785,41605737,42143649,42323875,42618790,42662466,43216524,43327577,43405558,43632340,44651049,44695685,45291598,46036408,46279990,46831414,47413505,47730697,48109510,48113332,48190542,48886657,49938310,50154329,50788650,51077049,51142548,51553033,51790959,52358808,52693013,52789415,53404568,53634822,53742485,53745369,54174560,54456009,54533038,54988737,55535988,55876137,56896206,57731412,57913513,58180569,58807798,58903659,58930517,59925972,60080139,60152209,60454177,60652804,60946380,61392135,62007940,62424249,62530117,63084502,63225713,63306609,63347298,63727798,63728504,63933814,64490982,64907089,65009472,65081812,65484944,65507398,65529457,66126129,66739349,66902020,67845017,68186710,68236737,68889934,69480889,69936005,70596673,71046742,71377012,71523975,71615278,71694567,72623585,73085875,73135656,73647190,73670562,73848129,73984993,74280233,74409528,75176953,75413450,75496097,76112737,76292240,76491137,76521844,76901727,76993737,77095685,77904340,78009555,78737937,79208309,79260729,79444897,79609137,79713929,80282424,80334353,80533969,80944009,81824052,82185142,82277613,82733590,82912597,83210192,83710719,83923206,83956137,84011140,84303249,84489937,85197862,85344009,85350675,85828770,86333753,86363110,86557137,86903529,87009433,87148302,87703050,87897553,88376628,88438057,88843544,89538478,89852933,90317727,90457985,90496140,91040720,91334020,91372273,91549675,91550688,91944244,92042377,92182414,92411319,92514822,93225718,93485208,93549920,93611466,93613510,93673335,93811209,94844049,95172113,95722549,96529216,96666005,96837262,96907137,99160568,99280308,99918224,99948987,...,3615469616751862833713983616075527612476114509096658331359157736999594415495662513132176694730864373814822299442758028556781192383223281384668797827600991517274747119306119582998463005003824685300751545150439028680530861966395589480871524905091362599492188521742953961092776939831069120292415628656500052661120802560948605269887074130313599910231517737429532452682218000914789532297861376328834845811474510786268838615031863144451782584248034789005366978160836627115207070567284441402476468753420628274370414374189539631899046969706437394779801424550118567199418042244647373907394758702177806627242216609030536600081389820005824934994351240059352613351304356052296908301696277360235084984938531179438082200790764889769049585019719994254078876351138899638816956038896974839224664792219373488374887094533713456816163421542534994479937205998727779980425534379404403278188148613817236436437377831855678169847095248495233552699106462180814989929881636050722555398042690968156955361395312863778049248251339735258428565597977210073887223501898394969690790974839273048591808828300612492978369612340065664502599539482028955785102277405938157310243096309091261983310215126227337361147735554377111610332785497221110704494801884898741732147665759336102193893860422879326412194371579179470716947944774428414630613197145582094972101640067543605650381639131824646668028890308561636093616609159499789459601502124782065733239941863970291374003086795735610190912260476951521477471078691444647046770377712077322774550471006765470398243060339236613573401920192696243780093567162854470352930198507562297146959747344885634757254122938562289169396268643808159368737399722880306265091591046331136337376252229411473750468650026809185009092670534364943954646695896764253485566153403703952883567506662970309651720943925221419294018801870098105935530773154205883300190177374675239982511837912782227177428169653406437260339555365000889218893134484913542590307345009774660878058906054069961161225068893799760882517197296239307325305159416831402563329979219855820537361286774959262156058788249910556598467470500713110459633691485739429888962213896384996834739625621473408702932192045459384316118915419642319761931900545615817170117447884371338455077177856228946841723998350879826482470424520076079828542128496554143170841765860739288295031621301889945255007065182562884582866533755983292999357676012604672633483150107998815547961909317088888877658555641680212383074094815028458387946504789349453104547411631961284233842147724087966156081410457889588787620803599423619831100285217804884586274654197781845134670119306507118455599630243298610603969657802599986616341256361404604629312241857477706069434711058659463960712745329894685802494242896228432934164584431248900891601200860251380626954396161912420289942584599648384367580597512958912692277252136448779239880623759850471186232415361688184784347716156642909133969918359999931182425187355484005061433363197665634489848901077815831006090742052836985396564281837192743645606490206963439725924035125340415697356477407598934141717198001215921587671079095890177915668661767441837252339987876084359061449804754259819592626316902515329924938834295378739540296100231521106218689570862048517063925893443336615313430536619266654891623910383141942095391084979273158121308356496694496904690775321947137204963921663082583661315974567931573464285289990810473445770217762091438837624429112576915763879546029691372544688935139945664733692240849111639371421454674104077632463373366951564032458440659352068188717469897022323784838462778470641655259969301600639342280558549284816305847070497849215115711054066723782230636174209989116358447527465859905923282417176081013547716694412064613613677558162647440300532118275536402051865129341311800366455340820457315136919722526429047704132754353291385734528861811765636826539032932780961287187441866884329116041187247925308026648832883524361425132981282847637932524723367556405929404090027794001177720004653969317009423748455798963402307006177727906726778375699470805044918043425313295998280872753312344330883488736682928778570488351286467817552719474576714613388657204022847819747663289408322670193921617744371742235772687597406012248949319448401700067791073489391138381268371131537652582715059085773176930173079211147224474495613682875188931172459459056955382737495786928459644905613352409985990919577362512723290722660646653395832023742598068784764166852478983893877860593022131222881814881408389822245019211500765951031369358522385611274540242737776127437545391353907819454233266756122960665536713241330367648720242325778092287527396266374891334823654790994776886324317121209454146947731686981049354949763742912401272960728275677824662729948816217335049709666460953432668489957042390235357187212675857866447848639904269831539794343548891890763040130469246671804179052242201118911957665821465517807221613706028411763205035576403776652756003222410747283}
30808 3334340604806850592730954413614238969245390894756700106759201145188716283578664237523135: {154015,184818,2645618,2831852,3101407,3815852,4018687,4201927,4854866,5045132,5782316,6324818,6691946,7139336,7669807,8031753,8214991,8772585,9357424,9484567,9623786,9665647,9989618,10527102,10931191,10988817,11914316,12404012,12732991,13081925,13138316,13205049,13989967,14004266,14169247,15583916,15698310,16744864,16913066,17073465,18211696,18622505,18837972,19088618,19514167,19607497,19838265,20465516,20488158,20536106,21160816,21196652,21633991,21867656,22347006,22802793,22865767,23063666,23805918,23918767,24601113,24772265,25820492,26365687,26481777,26539927,26662226,27742856,27757591,27763916,28010710,28104847,28971727,29530706,29726718,30246386,30354991,30675212,31210713,31217191,31470549,31525925,32143208,32157785,32421247,33103346,33181918,33612852,33646065,34004165,34792953,35388950,35889136,36161109,37371506,37450316,37554297,37711087,37831110,37933292,38174732,38557807,38589342,40015300,40281857,40330293,40353184,40375278,40559018,40804998,41069516,41423191,42466740,42677546,43433287,44267767,44672865,45297856,45397332,45403052,45813957,46728997,46760407,46926007,47402740,47426865,47651056,48018360,48405929,48626817,48766412,49066985,49352018,50588656,50841321,50960088,51219584,51448946,51860527,53490967,53607438,54020655,54540425,55114207,55474316,55762441,56191532,56246191,56883288,56912238,57299326,57330099,57545510,57622032,58880382,59534732,60141665,60579367,63913327,63928185,63993699,64254056,64702447,64824786,65108337,65448510,65804191,66668018,66755710,67718200,67937397,68102732,68153191,68190064,69054612,69419985,69710191,69811744,70247121,71513096,71569087,71660492,72164265,72169998,72285813,72608012,72802591,72808918,73153706,73318316,74047984,74501516,74797207,74907465,75530066,75816005,75861608,75866191,76170967,76182975,76713822,76975216,77509925,77574092,77738101,77842087,78144991,78538212,79660630,79901296,79956367,80106852,80452233,81261840,81352265,81799557,81856180,81917726,82355407,83232332,83303982,83399191,83624018,83627525,84408812,84439447,84463064,85344309,85613429,85634546,85987976,86361991,86597118,86679296,86765497,87428446,88125847,88168172,88211697,89221265,89733607,89888958,90752191,90979206,90982316,91419570,91477591,92201191,92490127,93011910,93293546,94626753,94948466,95020947,95365300,95591697,95592756,95652305,95900721,96220087,96736473,97259306,97380425,97514208,97622718,97795577,98227416,98261097,98349847,98464172,98779993,99212704,...,4820626155669150444951978154767370149968152678795544441812210315999459220660883350842902259641152498419763065923677371409041589844297708512891730436801322023032996159074826110664617340005099580401002060200585371574041149288527452641162033206788483465989584695657271948123702586441425493723220838208666736881494403414598140359849432173751466546975356983239376603576290667886386043063815168438446461081966014381691784820042484192602376778997379718673822637547782169486942760756379255203301958337894171032493885832252719509198729292941916526373068566066824756265890722992863165209859678269570408836322955478707382133441853093341099913325801653412470151135072474736395877735595036480313446646584708239250776267721019853025399446692959992338771835134851866185089274718529299785632886389625831317833182792711617942421551228723379992639916274664970373307234045839205871037584198151756315248583170442474237559796126997993644736932141949574419986573175514734296740530723587957542607148527083818370732331001786313677904754130636280098516298002531193292921054633119030731455745104400816657304492816453420886003466052642705274380136369874584209746990795078788349311080286834969783148196980739169482147110380662961480939326402513198322309530221012448136258525147230505768549592495438905960955930593032571219507484262860776126629468853423391474200508852175766195557371853744748848124822145545999719279468669499709420977653255818627055165337449060980813587883013969268695303294771588592862729027170282769763699400628009020627197657413785648818097869226923594991706791422883805960470573598010083062862612996459847513009672163918083052225861691525077545824983199630507075020122121395108181783168336305881965000624866702412246678790227379153258606195594529019004647421537871605270511423342217293746202294591900295225725358402493464141247374364205607844400253569832900319976682450550376302903237559537875249680452740486667852291857512646551390120409793346366214504078541405426614881633425191733014510022929728319076433740212555775203417773305626474427383148382366612349541411717666547408797956627334284147279511588647652573185282951861846662446319500828631211603909589393945845754825220559523093015909200727487756226823263845828451273436237141638595788965331134506435309960566026768106438056171328738857561122354480985717726708828402519927006676086910083846110488711674644390665810234683472896844644200143998420730615879089451851836878074188906949844098793086704611183928673052465937472729882175948378978456196965450621541441880610519451716827738132564826441467046957073179448366205597042460179560159075342824607466173657731480805292877070133315488455008481872806172416322476636941425912948078212618614283660439859581069992323861637910578886112574998534522134934480335174169272528215883227053256779466197845823440796683945216923036336181931705653174165013133961581643220482250913045796954875523878845293224479999908243233583140645340081911150930220845986465201437087774674787656070449313862085709116256991527475320275951252967898713500453887596475303210131912188956264001621228783561438794520237220891549023255783003119983834779145415266406339013092790168422536687106566585112393838319387061466975361474958252761149398022751901191257782153751240715492355539855498547177522589460521446639030877495077808662259329206254367095929516273285228884110111548421299423908764619047053321080631261026957016121918450165905483435887685172728039588496726251913519927552978256321132148852495228606232138770176617831155935418709944587545802757584956626529363098379784617037960855540346625735467519123040744732379755074462760663798953487614738755631709640848232279985488477930036621146541231043222901441351396955592549419484818236744216863253734042824367381869402486839121749067155273787760609753515892963368572063605510339137721847646038482415687515768718710577041281716249922489179105488054916330567077368865110511365815233510641710463517243366297823408541239205453370392001570293339538625756012564997941065284536409341570303875635704500932627740059890724567084394664374497004416459107844651648910571704760651135048623756736959299435619484518209605363797092996884385877763560258562156992495656314363583463208016331932425931202266757054764652521517841691161508716870110286745447697569240230772281529632632660818243833585241563279278742607176983327715904612859874151136546647987892769816683631054296880862204527776031656797425046352222469971978525170480790696174963842419841877853096326692282001021268041825811363180815032720323650368169916727188471877092605644355674830614220715617655107156864960323101037456383369861688499855113098206387993035848432422828279272195930308915974732473266351657216535030614304367570432883639931754956446732946221947937910224653276056520313809582950234477155263798186539026442053059124731855854350720173958995562405572069656268158549276887761954023742962151608037882350940047435205035537008004296547663044}
30809 3344561191695225889678531028790682090367394057221146002470494141042766539192388529919466: {30809,246424,277227,3539815,3968427,4247778,4769815,5723778,5756047,6246919,6306415,7227895,7282299,7567698,8187746,8673474,8924170,9201127,9487227,9939679,10037919,10403978,10709004,11696780,13871407,14036136,14435679,14651756,14892895,14984427,15166159,15505015,15571138,15790653,15935234,16273627,16422895,17606732,17786794,17871474,18515714,18606018,19134199,19479895,19707474,20514919,20931080,21006399,22764620,23375874,23547465,23997787,24274999,24794978,25117296,25369599,25581895,26451020,26495815,27317544,27334570,28125307,28256958,28632927,29588234,29796008,30403724,30698274,30732237,30804159,31402994,31741224,31794978,32275615,32801484,33139327,33520509,34104367,34595499,34678570,34704895,35309036,35527999,35708877,36231746,36796111,38344015,38730738,39635624,39993339,40179010,41247559,41614284,41645874,41694674,41696539,41960732,42016065,42688399,42847387,44265074,44296059,44590077,44817136,44861420,45369579,46012818,46206127,46390604,46453639,46812895,47227399,47416615,47718415,48214812,48424939,49655019,49772877,50019125,50072396,50233711,50419278,50441480,51336895,51452456,51567127,51652087,53083425,53526434,53736439,53773724,53833704,54406664,55794619,56057259,56081938,56175474,56222299,56269147,56622320,56746665,56753815,56899938,57262098,57884013,58612027,58892191,59253425,59563820,59666306,59675359,60022950,60124306,60529776,60562917,60838527,60958015,61085276,61207497,61604274,62573959,62836759,63235820,63700110,64016319,64024480,64791986,64835756,65006719,65863519,66378907,67046479,67353314,67586107,67788428,67946784,68095998,68104578,68282047,68467159,69342895,69913634,69994927,70239415,71104110,71225186,71476584,72027540,72241906,73149618,73887679,73905181,74028027,74418415,75239479,75844384,75882984,76440132,76798207,76829376,76907239,77173419,77417834,77618719,77903659,78507176,80317570,80339611,80411157,81006607,83211474,84287298,84647750,84670951,85128415,85139419,85237580,85324932,85368357,85948989,86244727,86318265,86433048,86655154,86811116,87264680,88320573,89302098,89358967,89391370,89575615,90335311,90583196,90760015,91632199,91647895,92072816,92559980,93126895,93662828,94245919,94328047,94827010,94940599,95461394,95989519,96049687,96219020,96226664,96381084,96574999,96951031,96967615,97237179,97773314,97910407,98172765,99401671,99876620,...,7230939233503725667427967232151055224952229018193316662718315473999188830991325026264353389461728747629644598885516057113562384766446562769337595655201983034549494238612239165996926010007649370601503090300878057361061723932791178961743049810182725198984377043485907922185553879662138240584831257313000105322241605121897210539774148260627199820463035474859064905364436001829579064595722752657669691622949021572537677230063726288903565168496069578010733956321673254230414141134568882804952937506841256548740828748379079263798093939412874789559602849100237134398836084489294747814789517404355613254484433218061073200162779640011649869988702480118705226702608712104593816603392554720470169969877062358876164401581529779538099170039439988508157752702277799277633912077793949678449329584438746976749774189067426913632326843085069988959874411997455559960851068758808806556376297227634472872874755663711356339694190496990467105398212924361629979859763272101445110796085381936313910722790625727556098496502679470516857131195954420147774447003796789939381581949678546097183617656601224985956739224680131329005199078964057911570204554811876314620486192618182523966620430252454674722295471108754223220665570994442221408989603769797483464295331518672204387787720845758652824388743158358941433895889548856829261226394291164189944203280135087211300763278263649293336057780617123272187233218318999578919203004249564131466479883727940582748006173591471220381824520953903042954942157382889294093540755424154645549100942013530940796486120678473227146803840385392487560187134325708940705860397015124594293919494689771269514508245877124578338792537287616318737474799445760612530183182092662272674752504458822947500937300053618370018185341068729887909293391793528506971132306807407905767135013325940619303441887850442838588037603740196211871061546308411766600380354749350479965023675825564454354856339306812874520679110730001778437786268969827085180614690019549321756117812108139922322450137787599521765034394592478614650610318833662805126659958439711641074722573549918524312117576499821113196934941001426220919267382971478859777924427792769993669479251242946817405864384090918768632237830839284639523863801091231634340234895768742676910154355712457893683447996701759652964940849040152159657084256993108286341683531721478576590063242603779890510014130365125769165733067511966585998715352025209345266966300215997631095923818634177777755317111283360424766148189630056916775893009578698906209094823263922568467684295448175932312162820915779177575241607198847239662200570435609769172549308395563690269340238613014236911199260486597221207939315605199973232682512722809209258624483714955412138869422117318927921425490659789371604988485792456865868329168862497801783202401720502761253908792323824840579885169199296768735161195025917825384554504272897558479761247519700942372464830723376369568695432313285818267939836719999862364850374710968010122866726395331268979697802155631662012181484105673970793128563674385487291212980413926879451848070250680831394712954815197868283434396002431843175342158191780355831337323534883674504679975752168718122899609508519639185252633805030659849877668590757479080592200463042212437379141724097034127851786886673230626861073238533309783247820766283884190782169958546316242616712993388993809381550643894274409927843326165167322631949135863146928570579981620946891540435524182877675248858225153831527759092059382745089377870279891329467384481698223278742842909348208155264926746733903128064916881318704136377434939794044647569676925556941283310519938603201278684561117098569632611694140995698430231422108133447564461272348419978232716895054931719811846564834352162027095433388824129227227355116325294880601064236551072804103730258682623600732910681640914630273839445052858095408265508706582771469057723623531273653078065865561922574374883733768658232082374495850616053297665767048722850265962565695275865049446735112811858808180055588002355440009307938634018847496911597926804614012355455813453556751398941610089836086850626591996561745506624688661766977473365857557140976702572935635105438949153429226777314408045695639495326578816645340387843235488743484471545375194812024497898638896803400135582146978782276762536742263075305165430118171546353860346158422294448948991227365750377862344918918113910765474991573856919289811226704819971981839154725025446581445321293306791664047485196137569528333704957967787755721186044262445763629762816779644490038423001531902062738717044771222549080485475552254875090782707815638908466533512245921331073426482660735297440484651556184575054792532749782669647309581989553772648634242418908293895463373962098709899527485824802545921456551355649325459897632434670099419332921906865336979914084780470714374425351715732895697279808539663079588687097783781526080260938493343608358104484402237823915331642931035614443227412056823526410071152807553305512006444821494566}
30810 3354812926887084333311666920264980416014409502059527607377887271393386127150555819956448: {215621,308030,369636,892649,1138601,1445861,1630121,2550341,2979161,3162821,3285221,3468761,4263269,4568489,5117381,5291236,5300201,5482949,5663704,6202814,6371667,7124441,7631704,7670309,7852121,8037374,8276069,8403854,8578649,8585667,8941481,9545561,9666281,9709732,10090264,11351547,11533349,11564632,11653541,12281619,12649636,12733829,12793769,13010211,13383892,13386255,13452581,14050661,14278672,14620975,14767301,14886629,15244421,15339614,15605967,16063506,16375529,16429982,16850921,17207129,17545170,17740901,18096389,18314695,18333221,18510761,18714848,18969134,19247572,19331294,19338329,19979236,20282201,20400041,20812229,21054204,21106409,21635429,21862382,21977634,22008415,22222469,22574309,23356707,23828632,23902851,23920361,24620969,24795941,24808024,25465982,25844261,26071507,26163850,26276632,26410098,26425541,26680191,26807211,27759449,27773571,27909027,27979934,27991001,28008532,28280261,28338494,28455775,29146841,29550629,29561211,30414569,31167832,31219289,31276709,31396620,31793129,32308901,32480681,33063775,33489728,33826132,34146930,34681171,34991849,35063811,36184901,36355049,36423392,36581801,37192467,37245010,37675944,37770149,37883141,38004655,38177236,39028334,39123941,39214994,39676530,40248581,40417001,40641449,40931032,40976316,41001855,41072212,41145989,41426009,41817701,41929541,42321632,42385437,42393304,42488261,43157669,43267982,43491941,43735312,43937189,44136295,44382351,44604101,44694012,45020899,45602309,45605586,45731534,45823781,46047411,46127332,46155749,46763609,46984409,47104491,47260229,47605831,47611836,47692467,47756201,47837534,48306521,48471461,49202226,49544530,49733609,50390441,50773061,51591641,51640984,51755141,51864101,51918569,52017855,52245209,52450915,52731374,52963554,53060549,53079854,53324452,53874089,54307241,54347619,54631769,54956009,55485712,55515182,55527832,55765349,56021420,56076775,56209694,56303909,56895401,57207007,57432281,57539561,57700421,57943454,57988255,58075481,58096107,58664069,59061412,59453436,59785049,59944901,60264389,60268515,60492772,60636761,60709982,61350424,61380329,61698521,61910489,62386949,62421426,62434382,62468811,62542011,62590495,62941098,63021221,63051850,63126821,63285161,63917801,63970469,64286309,64286416,64315570,64759529,64842494,64864601,65389481,65494361,65861189,66206692,66363836,66397611,66436841,66802661,67217155,67225704,67292130,67428869,67585241,67689449,68008330,68157989,68625881,68693779,68781701,69019227,69585906,69715109,70777900,70852421,71316569,71574149,71778272,72322218,73115429,73576409,74454775,74547461,74743012,74853509,74900632,75108594,75422174,75566501,75628917,75662220,75866584,75871589,76176389,76227161,76349464,76356595,76633049,76937129,77115614,77178684,77240921,78201029,79044775,79510181,79861721,80030600,80289651,80563714,80660586,80706368,80750556,81044695,81118036,81164009,81363881,81609996,81613541,82139032,82510661,82846382,83454809,83702789,83901029,84122907,84198331,84263211,84346601,84735535,84933480,84939689,85087781,85349907,85355092,85893147,86122409,86368229,86417369,86810201,86866574,87447461,88535534,89059049,89345730,89499459,89788709,90034425,90080069,90186459,90595712,90794664,90806104,90807209,91339301,91484249,91532549,91627914,92256089,92406411,92545001,93457994,93505961,93520814,93852014,94368089,94805480,94853730,95302112,95550165,95846789,96036720,96227141,96274649,96369641,96512069,96811858,96938921,97187979,97253634,97270469,97532824,98133970,98262761,98686949,98704036,...,10846408850255588501141950848226582837428343527289974994077473210998783246486987539396530084192593121444466898328274085670343577149669844154006393482802974551824241357918358748995389015011474055902254635451317086041592585899186768442614574715274087798476565565228861883278330819493207360877246885969500157983362407682845815809661222390940799730694553212288597358046654002744368596893584128986504537434423532358806515845095589433355347752744104367016100934482509881345621211701853324207429406260261884823111243122568618895697140909119312184339404273650355701598254126733942121722184276106533419881726649827091609800244169460017474804983053720178057840053913068156890724905088832080705254954815593538314246602372294669307148755059159982762236629053416698916450868116690924517673994376658120465124661283601140370448490264627604983439811617996183339941276603138213209834564445841451709309312133495567034509541285745485700658097319386542444969789644908152167666194128072904470866084185938591334147744754019205775285696793931630221661670505695184909072372924517819145775426484901837478935108837020196993507798618446086867355306832217814471930729288927273785949930645378682012083443206663131334830998356491663332113484405654696225196442997278008306581681581268637979236583114737538412150843834323285243891839591436746284916304920202630816951144917395473940004086670925684908280849827478499368378804506374346197199719825591910874122009260387206830572736781430854564432413236074333941140311133136231968323651413020296411194729181017709840720205760578088731340280701488563411058790595522686891440879242034656904271762368815686867508188805931424478106212199168640918795274773138993409012128756688234421251405950080427555027278011603094831863940087690292760456698460211111858650702519988910928955162831775664257882056405610294317806592319462617649900570532124025719947535513738346681532284508960219311781018666095002667656679403454740627770922035029323982634176718162209883483675206681399282647551591888717921975915478250494207689989937659567461612083860324877786468176364749731669795402411502139331378901074457218289666886641689154990504218876864420226108796576136378152948356746258926959285795701636847451510352343653114015365231533568686840525171995052639479447411273560228239485626385489662429512525297582217864885094863905669835765021195547688653748599601267949878998073028037814017900449450323996446643885727951266666632975666925040637149222284445085375163839514368048359313642234895883852701526443172263898468244231373668766362862410798270859493300855653414653758823962593345535404010357919521355366798890729895831811908973407799959849023769084213813887936725572433118208304133175978391882138235989684057407482728688685298802493753293746702674803602580754141880863188485737260869827753798945153102741792538876738076831756409346337719641871279551413558697246085064554353043148469928727401909755079999793547275562066452015184300089592996903469546703233447493018272226158510956189692845511578230936819470620890319177772105376021247092069432222796802425151594003647764763013237287670533747005985302325511757019963628253077184349414262779458777878950707545989774816502886136218620888300694563318656068712586145551191777680330009845940291609857799964674871731149425826286173254937819474363925069490083490714072325965841411614891764989247750983947923703794720392855869972431420337310653286274316512873287337730747291638638089074117634066805419836994201076722547334918114264364022312232897390120100854692097375321978056204566152409691066971354515388335411924965779907904801918026841675647854448917541211493547645347133162200171346691908522629967349075342582397579717769847251528243040643150083236193840841032674487942320901596354826609206155595388023935401099366022461371945410759167579287143112398263059874157203586585435296910479617098798342883861562325600652987348123561743775924079946498650573084275398943848542913797574170102669217788212270083382003533160013961907951028271245367396890206921018533183720180335127098412415134754130275939887994842618259937032992650466210048786335711465053859403452658158423730143840165971612068543459242989868224968010581764853233115226707318062792218036746847958345205100203373220468173415143805113394612957748145177257319530790519237633441673423486841048625566793517378377170866148212487360785378934716840057229957972758732087538169872167981939960187496071227794206354292500557436951681633581779066393668645444644225169466735057634502297853094108075567156833823620728213328382312636174061723458362699800268368881996610139723991102946160726977334276862582188799124674004470964372984330658972951363628362440843195060943148064849291228737203818882184827033473988189846448652005149128999382860298005469871127170706071561638027573599343545919712809494619383030646675672289120391407740015412537156726603356735872997464396553421664841118085235289615106729211329958268009667232241849}
30811 3365095904763225091396776990511719650994688166601454975210646198418712001085306208830772: {61618,462045,492848,554454,4955741,6433229,6614045,6677741,6802601,7079630,7936854,8495556,8828981,9304221,9539630,10119053,11109053,11447556,11512094,12056061,12137165,12493838,12520541,12605781,12612830,14455790,14548061,14564598,15135396,15812045,16212101,16375492,16393481,16729865,16950413,17346948,17848340,18402254,18974454,19346153,19879358,20075838,20807956,20850053,21418008,21707021,21929741,22992053,23009421,23393560,24059465,24095259,24644973,24673781,24974045,26317755,27271853,27742814,28072272,28361021,28453701,28871358,28996941,29303512,29785790,29968854,30332318,31010030,31142276,31581306,31870468,32547254,32760101,32793573,32845790,32966451,34779701,34998053,35010665,35213464,35573588,35742948,35814653,37031428,37094141,37212036,38198973,38268398,38959790,39245775,39414948,39615147,40305161,41029838,41862160,41969901,42012798,42282665,42507741,43109981,43486313,45185861,45529240,46100213,46751748,46880669,47094930,47721545,47995574,48549998,48586853,49589956,50234592,50484461,50619353,50637821,50739198,50907989,51163790,51220395,51340265,51918773,52902040,52920461,52991630,53434253,53681621,54171701,54607241,54635088,54669140,54932141,55867515,56250614,56513916,57265854,57659165,58542501,58822491,59176468,59367113,59514795,59592016,60058373,60807448,61396548,61464474,61608318,62805988,63482448,63589956,63790901,64551230,64901973,65538053,65602968,66278654,66383261,66499901,66655565,66805781,67041018,68208734,68408379,68597301,69190998,69319241,69357140,69409790,69489941,70026775,70340573,70618072,71055998,71417754,71756301,71871653,72463492,73592222,73803339,73826765,74316795,75005381,75615965,76122653,76315229,76688030,77461476,78660581,78983381,79097061,79271248,79445331,79455341,79619781,79986678,80358020,80544461,80656781,81011909,81770153,82495118,82758365,82954795,83228568,83272773,83291748,83389348,83393078,83921464,84032130,84314541,84341141,84878501,85341221,85376798,85694774,86750333,86915181,88025501,88472375,88530148,88592118,89180154,89560781,89634272,89722840,90739158,91006949,91064973,91876121,92025636,92412254,92781208,92907278,93428765,93625790,93632139,93651573,93717941,94411647,94454798,94577775,94833230,94946813,94999421,95436830,95735081,96429624,96473355,96664853,96849878,97080053,97263741,97951661,97984853,98335181,99243401,99310038,99545754,...,14461878467007451334855934464302110449904458036386633325436630947998377661982650052528706778923457495259289197771032114227124769532893125538675191310403966069098988477224478331993852020015298741203006180601756114722123447865582357923486099620365450397968754086971815844371107759324276481169662514626000210644483210243794421079548296521254399640926070949718129810728872003659158129191445505315339383245898043145075354460127452577807130336992139156021467912643346508460828282269137765609905875013682513097481657496758158527596187878825749579119205698200474268797672168978589495629579034808711226508968866436122146400325559280023299739977404960237410453405217424209187633206785109440940339939754124717752328803163059559076198340078879977016315505404555598555267824155587899356898659168877493953499548378134853827264653686170139977919748823994911119921702137517617613112752594455268945745749511327422712679388380993980934210796425848723259959719526544202890221592170763872627821445581251455112196993005358941033714262391908840295548894007593579878763163899357092194367235313202449971913478449360262658010398157928115823140409109623752629240972385236365047933240860504909349444590942217508446441331141988884442817979207539594966928590663037344408775575441691517305648777486316717882867791779097713658522452788582328379888406560270174422601526556527298586672115561234246544374466436637999157838406008499128262932959767455881165496012347182942440763649041907806085909884314765778588187081510848309291098201884027061881592972241356946454293607680770784975120374268651417881411720794030249188587838989379542539029016491754249156677585074575232637474949598891521225060366364185324545349505008917645895001874600107236740036370682137459775818586783587057013942264613614815811534270026651881238606883775700885677176075207480392423742123092616823533200760709498700959930047351651128908709712678613625749041358221460003556875572537939654170361229380039098643512235624216279844644900275575199043530068789184957229301220637667325610253319916879423282149445147099837048624235152999642226393869882002852441838534765942957719555848855585539987338958502485893634811728768181837537264475661678569279047727602182463268680469791537485353820308711424915787366895993403519305929881698080304319314168513986216572683367063442957153180126485207559781020028260730251538331466135023933171997430704050418690533932600431995262191847637268355555510634222566720849532296379260113833551786019157397812418189646527845136935368590896351864624325641831558355150483214397694479324401140871219538345098616791127380538680477226028473822398520973194442415878631210399946465365025445618418517248967429910824277738844234637855842850981319578743209976971584913731736658337724995603566404803441005522507817584647649681159770338398593537470322390051835650769109008545795116959522495039401884744929661446752739137390864626571636535879673439999724729700749421936020245733452790662537959395604311263324024362968211347941586257127348770974582425960827853758903696140501361662789425909630395736566868792004863686350684316383560711662674647069767349009359951504337436245799219017039278370505267610061319699755337181514958161184400926084424874758283448194068255703573773346461253722146477066619566495641532567768381564339917092632485233425986777987618763101287788548819855686652330334645263898271726293857141159963241893783080871048365755350497716450307663055518184118765490178755740559782658934768963396446557485685818696416310529853493467806256129833762637408272754869879588089295139353851113882566621039877206402557369122234197139265223388281991396860462844216266895128922544696839956465433790109863439623693129668704324054190866777648258454454710232650589761202128473102145608207460517365247201465821363281829260547678890105716190816531017413165542938115447247062547306156131731123845148749767467537316464164748991701232106595331534097445700531925131390551730098893470225623717616360111176004710880018615877268037694993823195853609228024710911626907113502797883220179672173701253183993123491013249377323533954946731715114281953405145871270210877898306858453554628816091391278990653157633290680775686470977486968943090750389624048995797277793606800271164293957564553525073484526150610330860236343092707720692316844588897897982454731500755724689837836227821530949983147713838579622453409639943963678309450050893162890642586613583328094970392275139056667409915935575511442372088524891527259525633559288980076846003063804125477434089542445098160970951104509750181565415631277816933067024491842662146852965321470594880969303112369150109585065499565339294619163979107545297268484837816587790926747924197419799054971649605091842913102711298650919795264869340198838665843813730673959828169560941428748850703431465791394559617079326159177374195567563052160521876986687216716208968804475647830663285862071228886454824113647052820142305615106611024012889642989132}
30812 3375410219988776662896882710450646779426981815724267367947419035985101744868967094609538: {92427,431242,616060,739272,831681,954211,1785298,2277202,2891722,3260242,3346627,4629811,4995787,5100682,5544211,5958322,6325642,6570442,6937522,8526538,8639707,9136978,10234762,10582472,10600402,10619445,10965898,11327408,11905281,12405628,12434827,12743334,12794611,14248882,14309445,15126187,15263408,15340618,15704242,16074748,16376611,16552138,16807708,17157298,17171334,17267611,17268141,17882962,18156811,18740757,18919245,19044211,19091122,19332562,19398667,19419464,20180528,20283547,20469365,21343027,21683685,21846897,22310425,22703094,23066698,23129264,23307082,24563238,24680947,24855907,25299272,25467658,25555027,25587538,25640573,26009945,26020422,26767784,26772510,26905162,27603381,28101322,28461681,28557344,29241950,29534602,29773258,29819037,30071227,30113757,30488842,30679228,30811781,31211934,31278811,32127012,32751058,32859964,33512107,33701842,34414258,34709611,35090340,35481802,35562811,35903587,36192778,36414211,36629390,36666442,37021522,37429696,37938268,38495144,38662588,38676658,38927845,39838085,39958472,40564402,40800082,41614221,41624458,41820547,41988307,42108408,42212818,43270858,43307037,43724764,43955268,44016830,44444938,44466985,44678685,44953281,45148618,45162067,45498477,46289285,46515045,46713414,47318611,47371959,47657264,47805702,47840722,48820881,49241938,49268685,49591882,49616048,50931964,50940427,51688522,51922147,52143014,52327700,52553264,52820196,52851082,53206517,53360382,53614422,54365107,55518898,55547142,55818054,55823107,55959868,55982002,56017064,56560522,56676988,56911550,57402597,57597187,58293682,58439685,59042227,59101258,59122422,59842507,60002347,60829138,61437667,61544757,61790813,61987445,62335664,62438578,62553418,62793240,63019197,63300061,63500611,63586258,63974947,64617802,64961362,66127550,66979456,67608281,67652264,67746307,68293860,68336425,69362342,69983698,70127622,70642395,70857427,71993361,72369802,72710098,72824997,72846784,73163602,73171867,73431281,73970585,74384934,74490020,75351888,75540298,75622747,75766282,76009310,76108797,76232587,76354472,76689211,76745685,78056668,78247882,78429988,78507485,79353060,79487445,79716811,80497162,80834002,81183557,81282898,81862064,81952632,82003710,82144424,82291978,82852018,83635402,83859082,83907067,84375921,84643264,84649387,84770874,84786608,84945811,84976522,85389907,85898781,86315338,86423611,86535964,86696425,86983882,87470624,87626693,87874378,87894211,88272590,88764702,89065507,89208202,89388024,90041798,90086611,90579365,91204618,91211172,91463068,91539211,91647562,92094822,92196711,92254664,92311498,92412477,93527218,93968818,94104017,94208982,94520458,95211662,95223672,95384934,95512402,95675068,96281707,96566611,96613042,96826845,96942922,96993427,97277611,98404452,99089060,99417981,99467218,...,21692817700511177002283901696453165674856687054579949988154946421997566492973975078793060168385186242888933796656548171340687154299339688308012786965605949103648482715836717497990778030022948111804509270902634172083185171798373536885229149430548175596953131130457723766556661638986414721754493771939000315966724815365691631619322444781881599461389106424577194716093308005488737193787168257973009074868847064717613031690191178866710695505488208734032201868965019762691242423403706648414858812520523769646222486245137237791394281818238624368678808547300711403196508253467884243444368552213066839763453299654183219600488338920034949609966107440356115680107826136313781449810177664161410509909631187076628493204744589338614297510118319965524473258106833397832901736233381849035347988753316240930249322567202280740896980529255209966879623235992366679882553206276426419669128891682903418618624266991134069019082571490971401316194638773084889939579289816304335332388256145808941732168371877182668295489508038411550571393587863260443323341011390369818144745849035638291550852969803674957870217674040393987015597236892173734710613664435628943861458577854547571899861290757364024166886413326262669661996712983326664226968811309392450392885994556016613163363162537275958473166229475076824301687668646570487783679182873492569832609840405261633902289834790947880008173341851369816561699654956998736757609012748692394399439651183821748244018520774413661145473562861709128864826472148667882280622266272463936647302826040592822389458362035419681440411521156177462680561402977126822117581191045373782881758484069313808543524737631373735016377611862848956212424398337281837590549546277986818024257513376468842502811900160855110054556023206189663727880175380585520913396920422223717301405039977821857910325663551328515764112811220588635613184638925235299801141064248051439895071027476693363064569017920438623562037332190005335313358806909481255541844070058647965268353436324419766967350413362798565295103183777435843951830956500988415379979875319134923224167720649755572936352729499463339590804823004278662757802148914436579333773283378309981008437753728840452217593152272756305896713492517853918571591403273694903020704687306228030730463067137373681050343990105278958894822547120456478971252770979324859025050595164435729770189727811339671530042391095377307497199202535899757996146056075628035800898900647992893287771455902533333265951333850081274298444568890170750327679028736096718627284469791767705403052886344527796936488462747337532725724821596541718986601711306829307517647925186691070808020715839042710733597781459791663623817946815599919698047538168427627775873451144866236416608266351956783764276471979368114814965457377370597604987506587493405349607205161508283761726376971474521739655507597890306205483585077753476153663512818692675439283742559102827117394492170129108706086296939857454803819510159999587094551124132904030368600179185993806939093406466894986036544452317021912379385691023156461873638941241780638355544210752042494184138864445593604850303188007295529526026474575341067494011970604651023514039927256506154368698828525558917555757901415091979549633005772272437241776601389126637312137425172291102383555360660019691880583219715599929349743462298851652572346509875638948727850138980166981428144651931682823229783529978495501967895847407589440785711739944862840674621306572548633025746574675461494583277276178148235268133610839673988402153445094669836228528728044624465794780240201709384194750643956112409132304819382133942709030776670823849931559815809603836053683351295708897835082422987095290694266324400342693383817045259934698150685164795159435539694503056486081286300166472387681682065348975884641803192709653218412311190776047870802198732044922743890821518335158574286224796526119748314407173170870593820959234197596685767723124651201305974696247123487551848159892997301146168550797887697085827595148340205338435576424540166764007066320027923815902056542490734793780413842037066367440360670254196824830269508260551879775989685236519874065985300932420097572671422930107718806905316316847460287680331943224137086918485979736449936021163529706466230453414636125584436073493695916690410200406746440936346830287610226789225915496290354514639061581038475266883346846973682097251133587034756754341732296424974721570757869433680114459915945517464175076339744335963879920374992142455588412708585001114873903363267163558132787337290889288450338933470115269004595706188216151134313667647241456426656764625272348123446916725399600536737763993220279447982205892321453954668553725164377598249348008941928745968661317945902727256724881686390121886296129698582457474407637764369654066947976379692897304010298257998765720596010939742254341412143123276055147198687091839425618989238766061293351344578240782815480030825074313453206713471745994928793106843329682236170470579230213458422659916536019334464483698}
30813 3385755967514048499391611056660197064609118277673642948494500603407269884989547956037854: {123236,646863,770075,924090,985696,1108908,2677947,3415803,4337583,4890363,7602907,7651023,8937483,9259663,9488463,9816587,9855663,9911482,10406283,12032243,12789807,12866458,13228090,13355482,13605202,13705467,14159260,14797003,15352143,15507035,15873708,15900603,16448847,16991112,16992031,17193163,17657962,18119407,18608442,19079260,19115001,20093435,20238106,21009635,21373323,21622171,22136863,22218106,22895112,23010927,23024188,23421811,23556363,24112122,24274330,24828207,24987676,25041082,25211562,25225660,25735947,25757001,26824443,28636683,28911580,28998843,29096122,29129196,29159923,30068027,30270792,31624090,32424202,32750984,32786962,33459730,33683251,33900826,34054641,34600047,34693896,34960623,34963663,35696680,36804508,36844857,37948908,38146427,38201487,38349035,38381307,38692306,38716483,39030633,39115471,39758716,40151676,40158765,40357743,41074955,41103283,41615912,41700106,42151983,42836016,43336043,43414042,43859482,43862925,44196911,44301903,44659887,45733263,45984106,46018842,46459691,46787120,46817901,47422835,48118930,48190518,48328235,49014931,49126587,49289946,49347562,49948090,50552763,51621387,52635510,53222703,54289167,54543706,54655955,54944085,54999663,55404427,55485628,55532283,55823291,56144544,56574571,56722042,56814223,56907402,57742716,57993882,58014987,58607024,58619663,59195731,59571580,59937708,60163987,60664636,60846603,61200123,62020060,62284552,62436687,62542363,63162612,63238067,63319227,63664955,63740936,64906287,64919803,65094508,65409625,65520202,65587146,65691580,65932902,66025245,66667407,66810163,67722927,69559402,69949835,69996106,70021330,70070121,70426928,70846235,71147176,71290547,71485896,71629306,71708553,71761083,71876371,73862907,74062856,74188282,74294747,74387823,74424072,75191647,76397946,76506083,76536796,77532783,77919580,78214521,78491550,78829896,79230294,79276623,79729523,80040573,80421633,80610322,80722831,82059676,82928803,83278347,83320713,83724320,83727081,83939802,83973003,84025596,84565330,84840783,85015482,85150511,85367325,86219962,86255963,86972626,87440523,87914767,88349327,88455343,88642723,88651887,88683633,89727331,90371722,91058480,91243707,91390171,92200426,93112525,93317791,93503496,93657867,93761338,93830127,94189860,94864207,95190731,95379387,95443090,95741347,95991148,96357883,96926703,97099996,97173706,97442043,97570835,98037485,98330507,99179912,99191325,...,32539226550766765503425852544679748512285030581869924982232419632996349739460962618189590252577779364333400694984822257011030731449009532462019180448408923655472724073755076246986167045034422167706763906353951258124777757697560305327843724145822263395429696695686585649834992458479622082631740657908500473950087223048537447428983667172822399192083659636865792074139962008233105790680752386959513612303270597076419547535286768300066043258232313101048302803447529644036863635105559972622288218780785654469333729367705856687091422727357936553018212820951067104794762380201826365166552828319600259645179949481274829400732508380052424414949161160534173520161739204470672174715266496242115764864446780614942739807116884007921446265177479948286709887160250096749352604350072773553021983129974361395373983850803421111345470793882814950319434853988550019823829809414639629503693337524355127927936400486701103528623857236457101974291958159627334909368934724456502998582384218713412598252557815774002443234262057617325857090381794890664985011517085554727217118773553457437326279454705512436805326511060590980523395855338260602065920496653443415792187866781821357849791936136046036250329619989394004492995069474989996340453216964088675589328991834024919745044743805913937709749344212615236452531502969855731675518774310238854748914760607892450853434752186421820012260012777054724842549482435498105136413519123038591599159476775732622366027781161620491718210344292563693297239708223001823420933399408695904970954239060889233584187543053129522160617281734266194020842104465690233176371786568060674322637726103970712815287106447060602524566417794273434318636597505922756385824319416980227036386270064703263754217850241282665081834034809284495591820263070878281370095380633335575952107559966732786865488495326992773646169216830882953419776958387852949701711596372077159842606541215040044596853526880657935343055998285008002970038210364221883312766105087971947902530154486629650451025620044197847942654775666153765927746434751482623069969812978702384836251580974633359404529094249195009386207234506417994136703223371654869000659925067464971512656630593260678326389728409134458845070238776780877857387104910542354531057030959342046095694600706060521575515985157918438342233820680684718456879156468987288537575892746653594655284591717009507295063586643065961245798803803849636994219084113442053701348350971989339931657183853799999898927000775121911447666853335256125491518543104145077940926704687651558104579329516791695404732694121006299088587232394812578479902566960243961276471887780036606212031073758564066100396672189687495435726920223399879547071307252641441663810176717299354624912399527935175646414707969052172222448186066055896407481259881240108024410807742262425642589565457211782609483261396835459308225377616630214230495269228039013158925613838654240676091738255193663059129445409786182205729265239999380641826686199356045552900268778990710408640109700342479054816678475532868569078536534734692810458411862670957533316316128063741276208296668390407275454782010943294289039711863011601241017955906976535271059890884759231553048242788338376333636852122637969324449508658408655862664902083689955968206137758436653575333040990029537820874829573399894024615193448277478858519764813458423091775208470250472142216977897524234844675294967743252951843771111384161178567609917294261011931959858822949538619862013192241874915914267222352902200416259510982603230167642004754342793092066936698692170360302564076292125965934168613698457229073200914063546165006235774897339723714405754080525026943563346752623634480642936041399486600514040075725567889902047226027747192739153309541754584729121929450249708581522523098023463826962704789064479827618466786164071806203298098067384115836232277502737861429337194789179622471610759756305890731438851296395028651584686976801958962044370685231327772239839495951719252826196831545628741392722510308007653364636810250146010599480041885723853084813736102190670620763055599551160541005381295237245404262390827819663984527854779811098977951398630146359007134395161578210357974475271190431520497914836205630377728969604674904031745294559699345680121954188376654110240543875035615300610119661404520245431415340183838873244435531771958592371557712900325020270460523145876700380552135131512598444637462082356136804150520171689873918276196262614509616503945819880562488213683382619062877501672310855044900745337199181005936333932675508400205172903506893559282324226701470501470862184639985146937908522185170375088099400805106645989830419171973308838482180932002830587746566397374022013412893118952991976918854090885087322529585182829444194547873686211611456646554481100421964569539345956015447386998148580894016409613381512118214684914082720798030637759138428483858149091940027016867361174223220046237611470179810070207618992393189660264994523354255705868845320187633989874804029001696725547}
30814 3396133242575385162540108533128048423466147851307133733977072773370525246502169707928574: {154045,184854,338833,862484,1232120,1261693,1386135,1478544,1663362,1908422,3102013,3285649,3570596,4202749,4554404,5783444,6520484,6693254,7853149,9259622,9667549,9991574,10201364,10572049,11088422,11655073,11916644,12651284,13140884,13875044,14172049,14867223,14888593,15782653,17053076,17279414,17699075,18273956,18631549,19299687,19695133,19842135,20033223,20402749,20407803,20469524,21109213,21164944,21200804,21238890,21931796,22342753,22654816,23810562,23849075,24811256,24869654,25486668,25589222,26486943,26545249,27912663,28110493,28284049,28497764,28618890,28657111,28780235,29150749,30252374,30357159,30526816,30681236,31234595,31408484,31532075,31567933,32149496,32427793,32599549,32753222,33104276,33327159,33615416,34142113,34314596,34342668,34535222,34536282,34996573,35765924,36139475,36168183,36313622,36411495,36413923,37481514,37561623,37718749,37817343,37838490,37888273,38088422,38182244,38665124,38797334,38838928,40085533,40361056,40567094,40938730,40969511,41935249,42605713,42686054,43367370,43442173,43609249,43644183,43693794,44276833,44620850,45406188,45940753,46005635,46133396,46258528,46272673,46614164,46935649,47101213,47436135,48588049,48636303,49126476,49180443,49361894,49698395,49711814,50189595,50598544,50851239,50935316,51110054,51175076,51281146,51871249,52019890,52040844,53535568,53545020,53810324,54498983,55206762,55287613,55773319,56202644,56923362,57114688,57547549,58038459,58483900,59069204,59313313,59546516,59638074,60142454,60227514,60592033,60977684,61358456,61623562,61707133,62253779,62423868,62550159,62557622,63135649,64084753,64254024,64716049,64804999,64873693,65121063,65502116,65503549,65719928,65789223,66916513,67024214,67403684,67698973,68479633,68828516,68976159,69028263,69357035,69419222,70180680,70747127,70963604,71125622,71584273,71807174,72178395,72285777,72385556,72828422,73258780,73332884,73934919,74021343,74043044,74200573,74464475,74809163,74859392,74922135,74966113,75830795,75876536,76990288,77325176,77353316,77525075,77855690,78953265,79676170,79916944,79973533,80875549,81128804,81368135,81600164,81815559,82114475,82522513,83228442,83248916,83641094,83714833,83976614,84012193,84216816,84425636,84457693,85083063,85361103,86541716,86614074,86782423,86990823,87449528,87558049,87910536,88033660,88438033,88889876,88933970,89357370,89906562,90297236,90324134,90996954,92578570,93030090,93375649,93426828,94637222,94743918,95314528,95611404,95670995,95681444,96383773,97399475,97641762,98280303,98371549,98380719,98483876,98512993,98537370,98899353,99183764,99232096,99641953,...,43385635401022354004567803392906331349713374109159899976309892843995132985947950157586120336770372485777867593313096342681374308598679376616025573931211898207296965431673434995981556060045896223609018541805268344166370343596747073770458298861096351193906262260915447533113323277972829443508987543878000631933449630731383263238644889563763198922778212849154389432186616010977474387574336515946018149737694129435226063380382357733421391010976417468064403737930039525382484846807413296829717625041047539292444972490274475582788563636477248737357617094601422806393016506935768486888737104426133679526906599308366439200976677840069899219932214880712231360215652272627562899620355328322821019819262374153256986409489178677228595020236639931048946516213666795665803472466763698070695977506632481860498645134404561481793961058510419933759246471984733359765106412552852839338257783365806837237248533982268138038165142981942802632389277546169779879158579632608670664776512291617883464336743754365336590979016076823101142787175726520886646682022780739636289491698071276583101705939607349915740435348080787974031194473784347469421227328871257887722917155709095143799722581514728048333772826652525339323993425966653328453937622618784900785771989112033226326726325074551916946332458950153648603375337293140975567358365746985139665219680810523267804579669581895760016346683702739633123399309913997473515218025497384788798879302367643496488037041548827322290947125723418257729652944297335764561244532544927873294605652081185644778916724070839362880823042312354925361122805954253644235162382090747565763516968138627617087049475262747470032755223725697912424848796674563675181099092555973636048515026752937685005623800321710220109112046412379327455760350761171041826793840844447434602810079955643715820651327102657031528225622441177271226369277850470599602282128496102879790142054953386726129138035840877247124074664380010670626717613818962511083688140117295930536706872648839533934700826725597130590206367554871687903661913001976830759959750638269846448335441299511145872705458998926679181609646008557325515604297828873158667546566756619962016875507457680904435186304545512611793426985035707837143182806547389806041409374612456061460926134274747362100687980210557917789645094240912957942505541958649718050101190328871459540379455622679343060084782190754614994398405071799515992292112151256071601797801295985786575542911805066666531902667700162548596889137780341500655358057472193437254568939583535410806105772689055593872976925494675065451449643193083437973203422613658615035295850373382141616041431678085421467195562919583327247635893631199839396095076336855255551746902289732472833216532703913567528552943958736229629930914754741195209975013174986810699214410323016567523452753942949043479311015195780612410967170155506952307327025637385350878567485118205654234788984340258217412172593879714909607639020319999174189102248265808060737200358371987613878186812933789972073088904634043824758771382046312923747277882483561276711088421504084988368277728891187209700606376014591059052052949150682134988023941209302047028079854513012308737397657051117835111515802830183959099266011544544874483553202778253274624274850344582204767110721320039383761166439431199858699486924597703305144693019751277897455700277960333962856289303863365646459567059956991003935791694815178881571423479889725681349242613145097266051493149350922989166554552356296470536267221679347976804306890189339672457057456089248931589560480403418768389501287912224818264609638764267885418061553341647699863119631619207672107366702591417795670164845974190581388532648800685386767634090519869396301370329590318871079389006112972162572600332944775363364130697951769283606385419306436824622381552095741604397464089845487781643036670317148572449593052239496628814346341741187641918468395193371535446249302402611949392494246975103696319785994602292337101595775394171655190296680410676871152849080333528014132640055847631804113084981469587560827684074132734880721340508393649660539016521103759551979370473039748131970601864840195145342845860215437613810632633694920575360663886448274173836971959472899872042327059412932460906829272251168872146987391833380820400813492881872693660575220453578451830992580709029278123162076950533766693693947364194502267174069513508683464592849949443141515738867360228919831891034928350152679488671927759840749984284911176825417170002229747806726534327116265574674581778576900677866940230538009191412376432302268627335294482912853313529250544696246893833450799201073475527986440558895964411784642907909337107450328755196498696017883857491937322635891805454513449763372780243772592259397164914948815275528739308133895952759385794608020596515997531441192021879484508682824286246552110294397374183678851237978477532122586702689156481565630960061650148626906413426943491989857586213686659364472340941158460426916845319833072038668928967396}
30815 3406542140696023025095315383971954528972393149591437303200676107755447366108198872464331: {246472,277281,1078105,1293726,1540150,1848180,1971392,2217816,2495043,2862633,4463245,5355894,5693005,6831606,7229305,7787593,8150605,8675166,8895709,9780726,10039881,10493593,11601421,12751705,13447801,13874113,13889433,14895805,14987361,15205814,15302046,15814105,15901369,16426105,16632633,17343805,17874966,18519326,18976926,19633174,19711326,19822964,20518921,20812566,21316345,21437629,21709849,22842445,24064486,25579614,25586905,25732916,25866637,25919121,26456180,26501005,26710964,27210404,27410934,27414745,28130809,28318520,29413489,29594006,30704286,31014070,31747416,31801206,31858335,32764369,32897694,33982224,33984062,34111033,34386326,35315924,35534941,35622205,35715843,36130369,36238814,37087489,37216884,37304481,38158520,38230002,38351545,38383833,39260605,40186870,40476212,41380345,42019270,42746646,42855769,42893245,42928335,43244342,44273726,44436212,44707405,45082141,45378561,45790224,46021854,46048376,46843622,47112726,47727805,48224244,48331405,48434401,48548660,49129833,49656414,49975352,50082164,50423124,50451320,51471894,51514002,51802833,51804423,51925537,52232713,52573897,52706749,53648886,53688649,54470433,55805521,56222271,56280169,56757735,56866717,57132633,57273366,57504937,57666745,57823160,57997686,58192244,58196001,58258392,58267705,58290793,58319846,59210929,60136054,60541584,60850641,61408095,62390737,62849041,63248180,63669145,63968845,64029081,64848404,65019421,65051055,65501968,65540691,65573924,66218689,66391969,66919460,66931275,67262905,67366502,67599313,67659529,67801652,68109282,69200094,69387792,69921246,69927326,70253305,70349737,71006353,71393360,71409469,72702241,73104875,73609016,73689714,73836505,73902121,74042841,74433145,74567721,75897816,76222105,76292854,76350769,76402974,76518337,76665081,76698070,76762614,76813213,76921719,77384612,77432966,77633917,77918881,78029835,78061266,78230942,79228957,79517432,80303352,80317530,80667289,80715486,81877645,82149910,82206566,82810143,83231824,83400212,84254605,84303966,84352129,84356833,85385043,85672032,86035645,86328157,86672086,86828084,86961409,87718964,87725850,88036969,88393822,88603806,88704505,89130937,89319774,89376433,89457111,90213681,90341271,90481945,91466526,91573475,91666105,91968212,92037684,92381593,92435343,92553805,92919382,93574240,93635802,93836433,94845670,96008281,96237860,96381036,96656470,96691645,96969997,97929769,98029862,98253174,98579892,98695124,99184729,99896180,...,65078453101533531006851705089359497024570061163739849964464839265992699478921925236379180505155558728666801389969644514022061462898019064924038360896817847310945448147510152493972334090068844335413527812707902516249555515395120610655687448291644526790859393391373171299669984916959244165263481315817000947900174446097074894857967334345644798384167319273731584148279924016466211581361504773919027224606541194152839095070573536600132086516464626202096605606895059288073727270211119945244576437561571308938667458735411713374182845454715873106036425641902134209589524760403652730333105656639200519290359898962549658801465016760104848829898322321068347040323478408941344349430532992484231529728893561229885479614233768015842892530354959896573419774320500193498705208700145547106043966259948722790747967701606842222690941587765629900638869707977100039647659618829279259007386675048710255855872800973402207057247714472914203948583916319254669818737869448913005997164768437426825196505115631548004886468524115234651714180763589781329970023034171109454434237547106914874652558909411024873610653022121181961046791710676521204131840993306886831584375733563642715699583872272092072500659239978788008985990138949979992680906433928177351178657983668049839490089487611827875419498688425230472905063005939711463351037548620477709497829521215784901706869504372843640024520025554109449685098964870996210272827038246077183198318953551465244732055562323240983436420688585127386594479416446003646841866798817391809941908478121778467168375086106259044321234563468532388041684208931380466352743573136121348645275452207941425630574212894121205049132835588546868637273195011845512771648638833960454072772540129406527508435700482565330163668069618568991183640526141756562740190761266671151904215119933465573730976990653985547292338433661765906839553916775705899403423192744154319685213082430080089193707053761315870686111996570016005940076420728443766625532210175943895805060308973259300902051240088395695885309551332307531855492869502965246139939625957404769672503161949266718809058188498390018772414469012835988273406446743309738001319850134929943025313261186521356652779456818268917690140477553561755714774209821084709062114061918684092191389201412121043151031970315836876684467641361369436913758312937974577075151785493307189310569183434019014590127173286131922491597607607699273988438168226884107402696701943978679863314367707599999797854001550243822895333706670512250983037086208290155881853409375303116209158659033583390809465388242012598177174464789625156959805133920487922552943775560073212424062147517128132200793344379374990871453840446799759094142614505282883327620353434598709249824799055870351292829415938104344444896372132111792814962519762480216048821615484524851285179130914423565218966522793670918616450755233260428460990538456078026317851227677308481352183476510387326118258890819572364411458530479998761283653372398712091105800537557981420817280219400684958109633356951065737138157073069469385620916823725341915066632632256127482552416593336780814550909564021886588578079423726023202482035911813953070542119781769518463106096485576676752667273704245275938648899017316817311725329804167379911936412275516873307150666081980059075641749659146799788049230386896554957717039529626916846183550416940500944284433955795048469689350589935486505903687542222768322357135219834588522023863919717645899077239724026384483749831828534444705804400832519021965206460335284009508685586184133873397384340720605128152584251931868337227396914458146401828127092330012471549794679447428811508161050053887126693505247268961285872082798973201028080151451135779804094452055494385478306619083509169458243858900499417163045046196046927653925409578128959655236933572328143612406596196134768231672464555005475722858674389578359244943221519512611781462877702592790057303169373953603917924088741370462655544479678991903438505652393663091257482785445020616015306729273620500292021198960083771447706169627472204381341241526111199102321082010762590474490808524781655639327969055709559622197955902797260292718014268790323156420715948950542380863040995829672411260755457939209349808063490589119398691360243908376753308220481087750071230601220239322809040490862830680367677746488871063543917184743115425800650040540921046291753400761104270263025196889274924164712273608301040343379747836552392525229019233007891639761124976427366765238125755003344621710089801490674398362011872667865351016800410345807013787118564648453402941002941724369279970293875817044370340750176198801610213291979660838343946617676964361864005661175493132794748044026825786237905983953837708181770174645059170365658888389095747372423222913293108962200843929139078691912030894773996297161788032819226763024236429369828165441596061275518276856967716298183880054033734722348446440092475222940359620140415237984786379320529989046708511411737690640375267979749608058003393451094}
30816 3416982757686949523000146777221923970176985595802974404092937887430498131177151965020698: {215663,308090,369708,400439,677666,1323239,1630439,1724968,1814663,1940589,2310225,2464240,2523386,2734703,2772270,2957088,3163439,3326724,3347063,3469439,3816844,3897503,4264103,5118383,5301239,5484023,6204026,6571298,6822239,7141192,7307903,7853663,8033841,8035439,8405498,8459303,9108808,9366263,10247409,10572743,10632983,11174783,11566888,11836103,13012749,13040968,13386508,13634783,14671089,15247439,15426263,15706298,15843239,16557143,16854263,17032439,17922239,18514439,18519244,18691943,19335098,19519343,19983148,20402728,20404103,20580839,21144098,21639743,21874703,22176844,22754663,22808721,22953069,23106143,23310146,23632823,23833288,24778705,24800903,25302568,25674863,26281768,26812449,27750088,27778989,27996623,28344098,28459439,28465389,29325839,29449761,29566989,29729543,29734446,29777186,30190439,31218849,31565306,31627439,32166145,32487239,33070225,33388705,34013005,34106152,34201439,34558828,35169623,35398150,36021983,36096729,36362423,36547912,36929183,37263098,37777823,38060303,38369421,38599374,39390266,39684270,40066446,40292329,40425239,40805498,40815606,40939048,41116401,41938103,41994023,42105839,42218426,42329888,42401608,42477780,42664439,43500839,43667903,43728433,43863592,44144905,44391009,44685506,45309632,46056429,46521105,46938863,46994063,47621124,47698150,47701809,47766023,48418513,48481439,48646343,49305239,49346541,49622512,49739308,50595265,50947439,50973336,50976093,51178444,51579489,51765839,51929303,52973886,53090498,54047783,54358221,54643103,55129463,55545265,55825326,56220986,56261783,56568098,56907239,56995528,57068423,57237780,57314222,57345003,57560470,57605183,57712439,58301498,58355303,59317439,59957423,60280305,60504748,60649439,60685825,60714318,61053632,61074623,61362472,61711439,62469190,62602705,62816968,63028905,63064150,63135866,63298439,63931223,64089239,64119969,64298992,64407889,64720583,64773143,64855586,64866513,65199098,65506444,66208552,66410589,66607703,66654318,67230832,67599503,67755839,68284226,68629192,68685336,68796239,69032781,69070444,69072564,69577753,69936983,69993146,70265433,70669089,71531848,71795303,72278950,72336366,72627244,72740305,72822990,72827846,74205839,74484621,74963028,75123246,75437498,75634686,75676980,75735239,75776546,76091063,76176844,76364488,76395743,76649423,77207841,77271003,77330248,77594668,77677856,78167303,78369143,78923543,79060225,79275839,80171066,80473329,80722112,80881343,81060505,81134188,81877460,81939022,81967405,82677743,83423183,83610241,83649325,83870498,84018239,84364823,84661583,84752065,85106183,85211426,85372108,85402223,85500839,85910049,86386943,86734740,86884346,86996529,87218498,87288366,87387588,87466439,87479769,87613343,88410829,88553666,89241700,90204081,90812376,90972263,91504223,91881506,92011270,92228063,92266792,92517056,92545346,92950103,93228328,93382463,93871298,94202426,94388783,94872270,96010583,96390839,96533303,96730765,96960263,97099849,97176098,97272606,98252952,98360886,98723788,98850023,99396790,99423628,99696239,...,97617679652300296510277557634039245536855091745609774946697258898989049218382887854568770757733338093000202084954466771033092194347028597386057541345226770966418172221265228740958501135103266503120291719061853774374333273092680915983531172437466790186289090087059756949504977375438866247895221973725501421850261669145612342286951001518467197576250978910597376222419886024699317372042257160878540836909811791229258642605860304900198129774696939303144908410342588932110590905316679917866864656342356963408001188103117570061274268182073809659054638462853201314384287140605479095499658484958800778935539848443824488202197525140157273244847483481602520560485217613412016524145799488726347294593340341844828219421350652023764338795532439844860129661480750290248057813050218320659065949389923084186121951552410263334036412381648444850958304561965650059471489428243918888511080012573065383783809201460103310585871571709371305922875874478882004728106804173369508995747152656140237794757673447322007329702786172851977571271145384671994955034551256664181651356320660372311978838364116537310415979533181772941570187566014781806197761489960330247376563600345464073549375808408138108750988859968182013478985208424969989021359650892266026767986975502074759235134231417741813129248032637845709357594508909567195026556322930716564246744281823677352560304256559265460036780038331164174527648447306494315409240557369115774797478430327197867098083343484861475154631032877691079891719124669005470262800198226087714912862717182667700752562629159388566481851845202798582062526313397070699529115359704182022967913178311912138445861319341181807573699253382820302955909792517768269157472958250940681109158810194109791262653550723847995245502104427853486775460789212634844110286141900006727856322679900198360596465485980978320938507650492648860259330875163558849105134789116231479527819623645120133790560580641973806029167994855024008910114631092665649938298315263915843707590463459888951353076860132593543827964326998461297783239304254447869209909438936107154508754742923900078213587282747585028158621703519253982410109670114964607001979775202394914537969891779782034979169185227403376535210716330342633572161314731627063593171092878026138287083802118181564726547955473755315026701462042054155370637469406961865612727678239960783965853775151028521885190759929197883737396411411548910982657252340326161104045052915968019794971551561399999696781002325365734343000560005768376474555629312435233822780114062954674313737988550375086214198082363018897265761697184437735439707700880731883829415663340109818636093221275692198301190016569062486307180760670199638641213921757924324991430530151898063874737198583805526939244123907156516667344558198167689222443779643720324073232423226787276927768696371635347828449784190506377924676132849890642691485807684117039476776841515962722028275214765580989177388336229358546617187795719998141925480058598068136658700806336972131225920329101027437164450035426598605707235609604204078431375235588012872599948948384191223828624890005171221826364346032829882867119135589034803723053867720929605813179672654277694659144728365015129000910556367913907973348525975225967587994706251069867904618413275309960725999122970088613462624488720199682073845580344832436575559294440375269275325625410751416426650933692572704534025884903229758855531313334152483535702829751882783035795879576468848615859586039576725624747742801667058706601248778532947809690502926014263028379276200810096076511080907692228876377897802505841095371687219602742190638495018707324692019171143217262241575080830690040257870903441928808124198459801542120227176703669706141678083241578217459928625263754187365788350749125744567569294070391480888114367193439482855400358492215418609894294202152347508696832508213584288011584367538867414832279268917672194316553889185085954754060930405876886133112055693983316719518487855157758478590494636886224178167530924022960093910430750438031798440125657171559254441208306572011862289166798653481623016143885711736212787172483458991953583564339433296933854195890439077021403185484734631073923425813571294561493744508616891133186908814024712095235883679098037040365862565129962330721631625106845901830358984213560736294246020551516619733306595315875777114673138700975060811381569437630101141656405394537795333912386247068410412451560515069621754828588787843528849511837459641687464641050147857188632505016932565134702236011597543017809001798026525200615518710520680677846972680104411504412586553919955440813725566555511125264298202415319937969491257515919926515446542796008491763239699192122066040238679356858975930756562272655261967588755548488332583643621058634834369939663443301265893708618037868046342160994445742682049228840144536354644054742248162394091913277415285451574447275820081050602083522669660138712834410539430210622856977179568980794983570062767117606535960562901969624412087005090176641}
30817 3427455189647764966118294094971289069253989427403565700304279227920479382736398923029801: {30817,462135,492944,554562,1016499,1509347,2156210,2587452,3080300,3696360,3785079,3942784,4158405,4435632,4771055,4990086,5725266,6248543,7970207,8926490,9203519,9306039,9856947,9942263,10121027,10711788,11386010,11410847,12401519,12608247,13663212,14458610,14550899,15575186,16301210,16396679,16733135,17350332,17791418,17852387,18792527,19349927,19561452,20079762,20854127,20987186,21934019,22139747,22483367,22996547,23149055,23202842,23559447,23959703,24281327,24978935,25503410,26174207,26701763,26895602,27650543,27721055,27748226,27778866,29002647,29791610,29842883,29974722,30411628,30604092,31628210,31716147,31802738,31979423,32852210,33265266,34687610,34786499,34965219,35749932,35821667,36805703,37038652,37101407,37953852,38132207,38380643,38721527,39266348,39422652,39645928,40313039,41037842,41450723,41625132,42516147,42632690,42699527,42875258,43198535,43419698,44601669,44665779,45684890,47347959,47350307,48128972,49871087,50629247,50647727,51159228,51173810,51465832,51733274,51838242,52912360,52930823,53002010,53097225,53421928,53692163,53750447,54356063,54420808,54821868,54829490,54942899,54964847,55894647,56199683,56261618,56637040,57899061,57932483,58826978,58907543,59085399,59188012,59526405,60050543,60099669,60255647,61208247,61223409,61408572,62028140,62099267,62174135,62590367,63327639,63494832,63556919,63602412,63716670,63973055,65528738,65795388,66512927,66818927,67028259,67663967,67964448,67968124,68222066,68485007,68772652,68889119,69503519,70631848,71069882,71244410,71431686,71547225,72260738,72451943,72477628,74009123,74174978,74433768,74608962,75201443,75630935,76137527,76317040,76460004,76703090,76767666,77023463,78521210,78675983,78998819,79460829,79635747,79810583,80373740,80560199,80733443,80952424,81574787,81786167,81883055,82760690,82939607,83737989,83916599,84038540,84331479,84693023,84852147,84895127,85493292,85711538,85786490,85856670,85971333,86338055,86340705,86488684,86767319,87452247,88466867,88547452,88872424,89136803,89414810,89556383,90164282,90232727,90757122,90784055,91071477,91580448,91894079,92043708,92096752,92281823,93021863,93687244,93703785,93736259,94168067,94225452,94270487,94596225,94703799,95221055,95455610,96448488,96662810,96683747,96868802,96993335,97097320,97192163,97283379,97798647,98259666,98354627,99262799,99312828,99427583,99694439,99950704,99981477,...,130156906203067062013703410178718994049140122327479699928929678531985398957843850472758361010311117457333602779939289028044122925796038129848076721793635694621890896295020304987944668180137688670827055625415805032499111030790241221311374896583289053581718786782746342599339969833918488330526962631634001895800348892194149789715934668691289596768334638547463168296559848032932423162723009547838054449213082388305678190141147073200264173032929252404193211213790118576147454540422239890489152875123142617877334917470823426748365690909431746212072851283804268419179049520807305460666211313278401038580719797925099317602930033520209697659796644642136694080646956817882688698861065984968463059457787122459770959228467536031685785060709919793146839548641000386997410417400291094212087932519897445581495935403213684445381883175531259801277739415954200079295319237658558518014773350097420511711745601946804414114495428945828407897167832638509339637475738897826011994329536874853650393010231263096009772937048230469303428361527179562659940046068342218908868475094213829749305117818822049747221306044242363922093583421353042408263681986613773663168751467127285431399167744544184145001318479957576017971980277899959985361812867856354702357315967336099678980178975223655750838997376850460945810126011879422926702075097240955418995659042431569803413739008745687280049040051108218899370197929741992420545654076492154366396637907102930489464111124646481966872841377170254773188958832892007293683733597634783619883816956243556934336750172212518088642469126937064776083368417862760932705487146272242697290550904415882851261148425788242410098265671177093737274546390023691025543297277667920908145545080258813055016871400965130660327336139237137982367281052283513125480381522533342303808430239866931147461953981307971094584676867323531813679107833551411798806846385488308639370426164860160178387414107522631741372223993140032011880152841456887533251064420351887791610120617946518601804102480176791391770619102664615063710985739005930492279879251914809539345006323898533437618116376996780037544828938025671976546812893486619476002639700269859886050626522373042713305558913636537835380280955107123511429548419642169418124228123837368184382778402824242086302063940631673753368935282722738873827516625875949154150303570986614378621138366868038029180254346572263844983195215215398547976876336453768214805393403887957359726628735415199999595708003100487645790667413341024501966074172416580311763706818750606232418317318067166781618930776484025196354348929579250313919610267840975845105887551120146424848124295034256264401586688758749981742907680893599518188285229010565766655240706869197418499649598111740702585658831876208688889792744264223585629925039524960432097643230969049702570358261828847130437933045587341837232901510466520856921981076912156052635702455354616962704366953020774652236517781639144728822917060959997522567306744797424182211601075115962841634560438801369916219266713902131474276314146138938771241833647450683830133265264512254965104833186673561629101819128043773177156158847452046404964071823627906141084239563539036926212192971153353505334547408490551877297798034633634623450659608334759823872824551033746614301332163960118151283499318293599576098460773793109915434079059253833692367100833881001888568867911590096939378701179870973011807375084445536644714270439669177044047727839435291798154479448052768967499663657068889411608801665038043930412920670568019017371172368267746794768681441210256305168503863736674454793828916292803656254184660024943099589358894857623016322100107774253387010494537922571744165597946402056160302902271559608188904110988770956613238167018338916487717800998834326090092392093855307850819156257919310473867144656287224813192392269536463344929110010951445717348779156718489886443039025223562925755405185580114606338747907207835848177482740925311088959357983806877011304787326182514965570890041232030613458547241000584042397920167542895412339254944408762682483052222398204642164021525180948981617049563311278655938111419119244395911805594520585436028537580646312841431897901084761726081991659344822521510915878418699616126981178238797382720487816753506616440962175500142461202440478645618080981725661360735355492977742127087834369486230851601300081081842092583506801522208540526050393778549848329424547216602080686759495673104785050458038466015783279522249952854733530476251510006689243420179602981348796724023745335730702033600820691614027574237129296906805882005883448738559940587751634088740681500352397603220426583959321676687893235353928723728011322350986265589496088053651572475811967907675416363540349290118340731317776778191494744846445826586217924401687858278157383824061789547992594323576065638453526048472858739656330883192122551036553713935432596367760108067469444696892880184950445880719240280830475969572758641059978093417022823475381280750535959499216116006786902188}
30818 3437959532967546915174590690177103659880469841658996479974426898616552573096736472789772: {431326,616180,739416,800878,831843,1138897,1355332,1876177,2646478,3234315,3260878,3449936,3629326,3850375,3881178,4620450,4813777,4928480,5046772,5469406,5544540,5545297,5914176,6326878,6653448,6694126,6938878,7369057,7485129,7633688,7795006,8528206,8587899,10236766,10602478,10633681,10968046,12408052,13142596,13389735,13644478,14282384,14615806,15129181,15707326,16067682,16070878,16558237,16810996,16918606,17079015,17449057,18217616,18338077,18732526,19047997,20494818,21145486,21265966,21347281,21687915,21876157,22349566,23133776,23362779,23672206,24451815,24860881,25734781,26025498,26081936,26687127,26773016,27269566,27998497,28865917,29342178,30119643,30494878,30852526,31412596,31480779,31686478,33114286,33708526,34064878,34690187,34804263,35844478,36421597,36591697,36931681,37028878,37038488,37383886,38014535,38119357,38255115,38670196,39038686,39966296,40343403,40652497,40805456,40808206,41161678,41622339,41668299,41996881,42288196,43169437,43279486,43749406,44353688,44687415,44838397,44962083,45032603,45337681,45509326,45617442,45836317,45906138,46212286,46298315,46620292,46665937,46744187,46997281,47265646,47442315,47493757,47618207,47666576,47704107,49082935,49278315,49557410,49601806,49897899,50605136,50623057,51114781,51349726,52031415,52259617,52563536,53624898,55500176,55557978,55993246,56319517,56688196,56918878,56930778,57221879,57930877,58412881,58651678,58899522,59133978,59459086,59468892,59554372,60014881,60161215,60380878,61131997,61556763,61802867,61927777,62437698,63130612,63254878,63513937,63949035,63988381,64312887,64332290,64777681,64974478,65092897,65129547,66140450,66664657,66777410,67447837,67916881,68026010,68212304,68402878,68527335,69117656,69941917,70339246,70796300,70833371,71336737,71800381,72043966,72193458,72724846,73095824,73802017,73858366,73985015,74526196,75555646,76096477,76120606,76401181,76705597,76738842,76760715,77161681,77198748,77535175,77599911,77617117,77757363,77763371,78223357,78780532,79368540,79503015,79733917,79884577,80132892,80584658,80850478,81387217,81610996,81631212,81878096,82232802,82244235,82733437,83478817,83876206,83925181,83988046,84211678,84392427,84436852,84659776,84803216,84955560,84960155,85112317,85328878,85408381,85641259,85965815,86442337,87001678,87335806,87456866,87643787,87727184,88059997,88240467,88289810,88782018,89371012,90597035,90619264,91559197,92112858,92282977,93004957,93042210,93877726,93988126,94586977,95242248,95396300,95403618,95532046,95575005,96587857,96730237,96837026,96962878,97014781,97292686,97827367,98150077,98293107,98610478,98693082,98812103,99245024,99478616,...,195235359304600593020555115268078491073710183491219549893394517797978098436765775709137541515466676186000404169908933542066184388694057194772115082690453541932836344442530457481917002270206533006240583438123707548748666546185361831967062344874933580372578180174119513899009954750877732495790443947451002843700523338291224684573902003036934395152501957821194752444839772049398634744084514321757081673819623582458517285211720609800396259549393878606289816820685177864221181810633359835733729312684713926816002376206235140122548536364147619318109276925706402628768574281210958190999316969917601557871079696887648976404395050280314546489694966963205041120970435226824033048291598977452694589186680683689656438842701304047528677591064879689720259322961500580496115626100436641318131898779846168372243903104820526668072824763296889701916609123931300118942978856487837777022160025146130767567618402920206621171743143418742611845751748957764009456213608346739017991494305312280475589515346894644014659405572345703955142542290769343989910069102513328363302712641320744623957676728233074620831959066363545883140375132029563612395522979920660494753127200690928147098751616816276217501977719936364026957970416849939978042719301784532053535973951004149518470268462835483626258496065275691418715189017819134390053112645861433128493488563647354705120608513118530920073560076662328349055296894612988630818481114738231549594956860654395734196166686969722950309262065755382159783438249338010940525600396452175429825725434365335401505125258318777132963703690405597164125052626794141399058230719408364045935826356623824276891722638682363615147398506765640605911819585035536538314945916501881362218317620388219582525307101447695990491004208855706973550921578425269688220572283800013455712645359800396721192930971961956641877015300985297720518661750327117698210269578232462959055639247290240267581121161283947612058335989710048017820229262185331299876596630527831687415180926919777902706153720265187087655928653996922595566478608508895738419818877872214309017509485847800156427174565495170056317243407038507964820219340229929214003959550404789829075939783559564069958338370454806753070421432660685267144322629463254127186342185756052276574167604236363129453095910947510630053402924084108310741274938813923731225455356479921567931707550302057043770381519858395767474792822823097821965314504680652322208090105831936039589943103122799999393562004650731468686001120011536752949111258624870467645560228125909348627475977100750172428396164726037794531523394368875470879415401761463767658831326680219637272186442551384396602380033138124972614361521340399277282427843515848649982861060303796127749474397167611053878488247814313033334689116396335378444887559287440648146464846453574553855537392743270695656899568381012755849352265699781285382971615368234078953553683031925444056550429531161978354776672458717093234375591439996283850960117196136273317401612673944262451840658202054874328900070853197211414471219208408156862750471176025745199897896768382447657249780010342443652728692065659765734238271178069607446107735441859211626359345308555389318289456730030258001821112735827815946697051950451935175989412502139735809236826550619921451998245940177226925248977440399364147691160689664873151118588880750538550651250821502832853301867385145409068051769806459517711062626668304967071405659503765566071591759152937697231719172079153451249495485603334117413202497557065895619381005852028526056758552401620192153022161815384457752755795605011682190743374439205484381276990037414649384038342286434524483150161661380080515741806883857616248396919603084240454353407339412283356166483156434919857250527508374731576701498251489135138588140782961776228734386878965710800716984430837219788588404304695017393665016427168576023168735077734829664558537835344388633107778370171909508121860811753772266224111387966633439036975710315516957180989273772448356335061848045920187820861500876063596880251314343118508882416613144023724578333597306963246032287771423472425574344966917983907167128678866593867708391780878154042806370969469262147846851627142589122987489017233782266373817628049424190471767358196074080731725130259924661443263250213691803660717968427121472588492041103033239466613190631751554229346277401950121622763138875260202283312810789075590667824772494136820824903121030139243509657177575687057699023674919283374929282100295714377265010033865130269404472023195086035618003596053050401231037421041361355693945360208823008825173107839910881627451133111022250528596404830639875938982515031839853030893085592016983526479398384244132080477358713717951861513124545310523935177511096976665167287242117269668739879326886602531787417236075736092684321988891485364098457680289072709288109484496324788183826554830570903148894551640162101204167045339320277425668821078860421245713954359137961589967140125534235213071921125803939248824174010180353282}
30819 3448495884325717132502182753861792845834907572212713316178377604900457160133549001978354: {61634,646989,770225,924270,985888,1109124,1201317,1694165,2032998,3018694,3969717,4312420,4891317,5174904,5443989,5821767,6160600,6308465,6679477,6930675,7392720,7570158,7885568,8204109,8316810,8871264,9490317,9542110,9980172,10041189,10408317,11111941,11450532,11692509,12497086,12792309,15171089,15355149,15510065,15903717,15940414,16278917,16428245,16452069,17196517,17852980,18407038,18612078,19713894,19884526,20242054,20466717,21013745,21423576,21626389,21923709,22772020,22821694,23426389,23560989,24101523,24106317,24803038,25128469,25216494,25377909,27326424,28098789,28917220,29101798,29557477,30742227,31150372,31556629,31718229,31898949,32408677,32602420,32793358,33466270,33524349,34115477,34700664,34970509,35508309,35582836,35704774,37585054,38699854,38809477,39038247,39122904,39265745,40159524,40904349,41111317,41708254,41974372,42618349,43497649,43868038,44013267,44205557,44279494,44966734,45742317,45993094,46221197,46278789,46298110,46405684,46468769,47118894,47529717,47919406,48337745,48562654,49671429,49957870,50562789,51006820,51097317,52348414,52860245,53403526,53766717,53791204,55301086,55442110,55496452,55543317,55557732,56075829,56585629,58005294,58104757,58275365,58558029,58631117,58953569,59583220,59685766,59949444,60074029,60477949,60823256,61208184,61212309,61742517,62554609,62857229,63256420,63432294,63605476,63958846,64919229,64932517,65624109,65704420,66530532,68263989,68304317,68426163,68859207,69318429,69375220,69572998,69930438,70860245,70898469,71499864,71643334,73611406,73911749,74077304,74202814,74336115,74402709,74442965,75525629,75907704,76264414,76761286,77024589,77443054,78532696,78845304,78913265,79291856,80437347,80626078,80975701,82075684,82901446,83250264,83336967,83989869,84367877,85032294,85167149,85265380,85378317,85396167,85399054,85750516,86272817,86397070,86839396,87043789,87931981,87977517,88349283,88495375,88700967,89188629,89203338,89331558,89388077,89562277,89744869,89888081,90364901,90571317,91027729,91369780,91408069,93157745,93656547,94695918,94700614,94882317,94882789,96020789,96257944,96376717,96498435,97461717,98475665,99210675,99742174,...,292853038956900889530832672902117736610565275236829324840091776696967147655148663563706312273200014279000606254863400313099276583041085792158172624035680312899254516663795686222875503405309799509360875157185561323122999819278042747950593517312400370558867270261179270848514932126316598743685665921176504265550785007436837026860853004555401592728752936731792128667259658074097952116126771482635622510729435373687775927817580914700594389324090817909434725231027766796331772715950039753600593969027070890224003564309352710183822804546221428977163915388559603943152861421816437286498975454876402336806619545331473464606592575420471819734542450444807561681455652840236049572437398466179041883780021025534484658264051956071293016386597319534580388984442250870744173439150654961977197848169769252558365854657230790002109237144945334552874913685896950178414468284731756665533240037719196151351427604380309931757614715128113917768627623436646014184320412520108526987241457968420713384273020341966021989108358518555932713813436154015984865103653769992544954068961981116935936515092349611931247938599545318824710562698044345418593284469880990742129690801036392220648127425224414326252966579904546040436955625274909967064078952676798080303960926506224277705402694253225439387744097913537128072783526728701585079668968792149692740232845471032057680912769677796380110340114993492523582945341919482946227721672107347324392435290981593601294250030454584425463893098633073239675157374007016410788400594678263144738588151548003102257687887478165699445555535608395746187578940191212098587346079112546068903739534935736415337583958023545422721097760148460908867729377553304807472418874752822043327476430582329373787960652171543985736506313283560460326382367637904532330858425700020183568968039700595081789396457942934962815522951477946580777992625490676547315404367348694438583458870935360401371681741925921418087503984565072026730343893277996949814894945791747531122771390379666854059230580397780631483892980995383893349717912763343607629728316808321463526264228771700234640761848242755084475865110557761947230329010344893821005939325607184743613909675339346104937507555682210129605632148991027900716483944194881190779513278634078414861251406354544694179643866421265945080104386126162466111912408220885596838183034719882351897561325453085565655572279787593651212189234234646732947971757020978483312135158747904059384914654684199999090343006976097203029001680017305129423666887937305701468340342188864022941213965651125258642594247089056691797285091553313206319123102642195651488246990020329455908279663827076594903570049707187458921542282010598915923641765273772974974291590455694191624211595751416580817732371721469550002033674594503067667331338931160972219697269680361830783306089114906043485349352571519133774028398549671928074457423052351118430330524547888166084825644296742967532165008688075639851563387159994425776440175794204409976102419010916393677760987303082311493350106279795817121706828812612235294125706764038617799846845152573671485874670015513665479093038098489648601357406767104411169161603162788817439539017962833083977434185095045387002731669103741723920045577925677902763984118753209603713855239825929882177997368910265840387873466160599046221536741034497309726677883321125807825976876232254249279952801077718113602077654709689276566593940002457450607108489255648349107387638729406545847578758118730176874243228405001176119803746335598843429071508778042789085137828602430288229533242723076686629133693407517523286115061658808226571915485056121974076057513429651786724725242492070120773612710325786424372595379404626360681530111009118425034249724734652379785875791262562097365052247377233702707882211174442664343101580318448566201075476646255829682882606457042526090497524640752864034753102616602244496837806753016582949661667555257864262182791217630658399336167081949950158555463565473275435771483910658672534502592772068880281731292251314095395320376971514677763323624919716035586867500395960444869048431657135208638361517450376975860750693018299890801562587671317231064209556454203893221770277440713883684481233525850673399560726442074136285707651037294111121097587695389886992164894875320537705491076952640682208882738061654549859199919785947627331344019416102925182434144708312890303424969216183613386001737158741205231237354681545208865264485766363530586548535512378925062393923150443571565897515050797695404106708034792629053427005394079575601846556131562042033540918040313234513237759661759866322441176699666533375792894607245959813908473772547759779546339628388025475289719097576366198120716038070576927792269686817965785902766266645464997750930863175904503109818990329903797681125854113604139026482983337228046147686520433609063932164226744487182275739832245856354723341827460243151806250568008980416138503231618290631868570931538706942384950710188301352819607881688705908873236261015270529923}
30820 3459064340692911114216107467726193205643270018869469386985454043934452806516855608405515: {92451,338899,523651,862652,1232360,1386405,1446331,1478832,1601756,1663686,2277794,2710664,3049497,3286291,3469891,3752354,4020259,4528041,4569979,5292956,5390525,6468630,6521756,6899872,6944611,7258652,7700750,7762356,8036491,8581459,9240900,9488299,9627554,9856960,10093544,10754851,10938812,11089080,11090594,11355237,11828352,11837659,12475215,12653756,13097659,13306896,13388252,13877756,14313165,14533339,14738114,14970258,15267376,15590012,17056412,17175798,18635251,18745629,19876099,20473532,20583571,21113419,21204956,21267362,21936092,22316225,22874899,23226331,23910621,24278899,24816104,26285192,26779470,27288956,27610557,27918117,28116139,28289731,28463251,28465025,28564768,29231612,29329771,29570841,29826789,30258362,30363081,30712459,31414652,31574299,32135364,32141756,32606131,32777851,33116474,33621992,33837212,34149019,34158030,34232541,34898114,35174371,36146525,36435232,36676154,37204557,37465052,37824741,37895971,38065459,38095994,38911819,38937965,40262251,40753025,40989636,41440099,42111571,42290972,42531932,42694562,43375830,43451059,43618171,43652697,43752314,43785211,44478545,44619331,44699132,46267552,46725558,47110891,47276419,47344412,48598051,48903630,49190037,49421731,49721762,50199405,51469562,51881971,52050996,52163872,52467965,52535299,53220349,53374254,53546032,53557161,54163579,54539132,55996994,56269579,56377581,57720451,57731834,58007105,58049781,58363411,58684356,59485819,60239286,60989756,61705052,62562381,62825192,62961558,63307291,63316517,63372956,63758525,64817641,64887331,65802057,66228572,66419241,67087291,67239005,67417052,67450101,67625857,67713259,68129756,68494099,68650051,68716109,68989641,69370565,69380374,69447165,69608526,70678341,71599459,71688956,71879109,71908411,72843194,72843981,73141339,73183394,73602499,73863362,74057756,74076976,74479025,74767772,74829091,74936805,76029070,76203499,76238714,76510230,77340392,78077372,78178459,78481219,78522621,78934819,79070525,79387771,79506845,79932592,80105289,80442139,80686806,81043051,81304994,81610912,81616412,81642811,82130525,82323356,82689619,82951629,83163165,83244678,83336598,83732899,83993762,84225701,84475939,84576392,85513171,86338874,86399419,86558972,86719025,87007941,87498812,87577051,88457251,88603699,88707376,89374830,89528649,89676794,89924166,90065206,90675362,91018652,91234884,91672634,91812276,92424572,92530579,92596630,92963659,93240584,93331874,93488374,93540091,93994562,94531292,94884630,94987514,95148441,95236414,95333152,95405539,95408214,95938269,96547459,97542859,98165870,98534731,98556630,99114820,99203612,99795798,99804811,...,390470718609201186041110230536156982147420366982439099786789035595956196873531551418275083030933352372000808339817867084132368777388114389544230165380907083865672688885060914963834004540413066012481166876247415097497333092370723663934124689749867160745156360348239027798019909501755464991580887894902005687401046676582449369147804006073868790305003915642389504889679544098797269488169028643514163347639247164917034570423441219600792519098787757212579633641370355728442363621266719671467458625369427853632004752412470280245097072728295238636218553851412805257537148562421916381998633939835203115742159393775297952808790100560629092979389933926410082241940870453648066096583197954905389178373361367379312877685402608095057355182129759379440518645923001160992231252200873282636263797559692336744487806209641053336145649526593779403833218247862600237885957712975675554044320050292261535135236805840413242343486286837485223691503497915528018912427216693478035982988610624560951179030693789288029318811144691407910285084581538687979820138205026656726605425282641489247915353456466149241663918132727091766280750264059127224791045959841320989506254401381856294197503233632552435003955439872728053915940833699879956085438603569064107071947902008299036940536925670967252516992130551382837430378035638268780106225291722866256986977127294709410241217026237061840147120153324656698110593789225977261636962229476463099189913721308791468392333373939445900618524131510764319566876498676021881051200792904350859651450868730670803010250516637554265927407380811194328250105253588282798116461438816728091871652713247648553783445277364727230294797013531281211823639170071073076629891833003762724436635240776439165050614202895391980982008417711413947101843156850539376441144567600026911425290719600793442385861943923913283754030601970595441037323500654235396420539156464925918111278494580480535162242322567895224116671979420096035640458524370662599753193261055663374830361853839555805412307440530374175311857307993845191132957217017791476839637755744428618035018971695600312854349130990340112634486814077015929640438680459858428007919100809579658151879567119128139916676740909613506140842865321370534288645258926508254372684371512104553148335208472726258906191821895021260106805848168216621482549877627847462450910712959843135863415100604114087540763039716791534949585645646195643930629009361304644416180211663872079179886206245599998787124009301462937372002240023073505898222517249740935291120456251818697254951954201500344856792329452075589063046788737750941758830803522927535317662653360439274544372885102768793204760066276249945228723042680798554564855687031697299965722120607592255498948794335222107756976495628626066669378232792670756889775118574881296292929692907149107711074785486541391313799136762025511698704531399562570765943230736468157907107366063850888113100859062323956709553344917434186468751182879992567701920234392272546634803225347888524903681316404109748657800141706394422828942438416816313725500942352051490399795793536764895314499560020684887305457384131319531468476542356139214892215470883718423252718690617110778636578913460060516003642225471655631893394103900903870351978825004279471618473653101239842903996491880354453850497954880798728295382321379329746302237177761501077101302501643005665706603734770290818136103539612919035422125253336609934142811319007531132143183518305875394463438344158306902498990971206668234826404995114131791238762011704057052113517104803240384306044323630768915505511591210023364381486748878410968762553980074829298768076684572869048966300323322760161031483613767715232496793839206168480908706814678824566712332966312869839714501055016749463153402996502978270277176281565923552457468773757931421601433968861674439577176808609390034787330032854337152046337470155469659329117075670688777266215556740343819016243721623507544532448222775933266878073951420631033914361978547544896712670123696091840375641723001752127193760502628686237017764833226288047449156667194613926492064575542846944851148689933835967814334257357733187735416783561756308085612741938938524295693703254285178245974978034467564532747635256098848380943534716392148161463450260519849322886526500427383607321435936854242945176984082206066478933226381263503108458692554803900243245526277750520404566625621578151181335649544988273641649806242060278487019314355151374115398047349838566749858564200591428754530020067730260538808944046390172071236007192106100802462074842082722711387890720417646017650346215679821763254902266222044501057192809661279751877965030063679706061786171184033967052958796768488264160954717427435903723026249090621047870355022193953330334574484234539337479758653773205063574834472151472185368643977782970728196915360578145418576218968992649576367653109661141806297789103280324202408334090678640554851337642157720842491427908718275923179934280251068470426143842251607878497648348020360706564}
30821 3469664999331850211455307586064758150852685899548679691217156526784309963149197272391629: {123268,1078315,1293978,1540450,1848540,1971776,2002195,2218248,2371831,2402634,2495529,3388330,3416691,4065996,5628531,6037388,6616195,7939434,8152195,8624840,8831851,9073315,9702945,9782634,9819139,10349808,10887978,11551125,11643534,12035371,12321200,12524611,12616930,13358954,13673515,13861350,14441331,14785440,15140316,15771136,15817195,15904471,16217371,16408218,16633620,16635891,16735315,16955923,17347195,17742528,17931331,18980634,19084220,19487515,19960344,20082378,20816634,21320515,21441811,21714091,22107171,22223882,22455387,22901064,22999543,23385018,24574843,24994172,25584618,25591915,25763697,25871683,26506195,27420115,28053751,29003851,29419243,30342178,30710298,31020130,31807434,31880828,31901043,32557834,32770771,32856490,32904138,34111195,34393034,34791031,35705960,36137431,36539515,36814076,37224156,38156371,39268315,39427788,39769052,40169205,40177195,40318291,40484108,40933434,42027490,42296515,42847152,43252778,43847418,45387543,45544040,45643388,46831315,46852778,46895959,47121978,48203046,48212634,49606076,49674711,50177191,50253379,50256938,50432988,50635843,50755818,51237045,51935683,52242931,52347171,52717051,52863715,53164915,54625051,54652848,54972043,55014231,55837843,55873915,56197578,56291191,57143991,57834440,58203596,58302211,59114954,59180515,60312439,61484454,62300744,63113258,63436458,63797898,64041843,64817354,65063745,65204840,65586716,65628471,65889283,66231643,66769771,66932540,67048698,67672843,67875943,68173915,68230954,69401328,69941018,70088337,70363483,71016618,71165672,71309131,71409548,73355445,74004343,74582643,75170108,76237195,76340119,76937323,77131315,77204343,77399708,77618954,78076494,78245808,78368851,78531490,79009111,79216195,79244443,80061381,80319048,80683051,81585511,81808698,82222634,82785715,83416508,83948744,83995491,84271315,84368611,84373399,85162195,85236698,86373331,86597751,86978443,86995298,87736076,88026534,88054171,88411114,88558988,89589991,89611195,89933468,90085771,90358929,91036759,91484634,91668043,91906051,91986188,92442394,92557578,92572195,92596220,92811368,92937538,93459715,93748471,94237788,94365139,94442337,95059434,95838812,96087259,96612811,96675490,96696343,97125308,97596715,98356291,99204343,99275731,99342858,99707491,99915740,...,585706077913801779061665345804235473221130550473658649680183553393934295310297327127412624546400028558001212509726800626198553166082171584316345248071360625798509033327591372445751006810619599018721750314371122646245999638556085495901187034624800741117734540522358541697029864252633197487371331842353008531101570014873674053721706009110803185457505873463584257334519316148195904232253542965271245021458870747375551855635161829401188778648181635818869450462055533592663545431900079507201187938054141780448007128618705420367645609092442857954327830777119207886305722843632874572997950909752804673613239090662946929213185150840943639469084900889615123362911305680472099144874796932358083767560042051068969316528103912142586032773194639069160777968884501741488346878301309923954395696339538505116731709314461580004218474289890669105749827371793900356828936569463513331066480075438392302702855208760619863515229430256227835537255246873292028368640825040217053974482915936841426768546040683932043978216717037111865427626872308031969730207307539985089908137923962233871873030184699223862495877199090637649421125396088690837186568939761981484259381602072784441296254850448828652505933159809092080873911250549819934128157905353596160607921853012448555410805388506450878775488195827074256145567053457403170159337937584299385480465690942064115361825539355592760220680229986985047165890683838965892455443344214694648784870581963187202588500060909168850927786197266146479350314748014032821576801189356526289477176303096006204515375774956331398891111071216791492375157880382424197174692158225092137807479069871472830675167916047090845442195520296921817735458755106609614944837749505644086654952861164658747575921304343087971473012626567120920652764735275809064661716851400040367137936079401190163578792915885869925631045902955893161555985250981353094630808734697388877166917741870720802743363483851842836175007969130144053460687786555993899629789891583495062245542780759333708118461160795561262967785961990767786699435825526687215259456633616642927052528457543400469281523696485510168951730221115523894460658020689787642011878651214369487227819350678692209875015111364420259211264297982055801432967888389762381559026557268156829722502812709089388359287732842531890160208772252324932223824816441771193676366069439764703795122650906171131311144559575187302424378468469293465895943514041956966624270317495808118769829309368399998180686013952194406058003360034610258847333775874611402936680684377728045882427931302250517285188494178113383594570183106626412638246205284391302976493980040658911816559327654153189807140099414374917843084564021197831847283530547545949948583180911388383248423191502833161635464743442939100004067349189006135334662677862321944439394539360723661566612178229812086970698705143038267548056797099343856148914846104702236860661049095776332169651288593485935064330017376151279703126774319988851552880351588408819952204838021832787355521974606164622986700212559591634243413657625224470588251413528077235599693690305147342971749340031027330958186076196979297202714813534208822338323206325577634879078035925666167954868370190090774005463338207483447840091155851355805527968237506419207427710479651859764355994737820531680775746932321198092443073482068994619453355766642251615651953752464508498559905602155436227204155309419378553133187880004914901214216978511296698214775277458813091695157516237460353748486456810002352239607492671197686858143017556085578170275657204860576459066485446153373258267386815035046572230123317616453143830970112243948152115026859303573449450484984140241547225420651572848745190758809252721363060222018236850068499449469304759571751582525124194730104494754467405415764422348885328686203160636897132402150953292511659365765212914085052180995049281505728069506205233204488993675613506033165899323335110515728524365582435261316798672334163899900317110927130946550871542967821317345069005185544137760563462584502628190790640753943029355526647249839432071173735000791920889738096863314270417276723034900753951721501386036599781603125175342634462128419112908407786443540554881427767368962467051701346799121452884148272571415302074588222242195175390779773984329789750641075410982153905281364417765476123309099718399839571895254662688038832205850364868289416625780606849938432367226772003474317482410462474709363090417730528971532727061173097071024757850124787846300887143131795030101595390808213416069585258106854010788159151203693112263124084067081836080626469026475519323519732644882353399333066751585789214491919627816947545095519559092679256776050950579438195152732396241432076141153855584539373635931571805532533290929995501861726351809006219637980659807595362251708227208278052965966674456092295373040867218127864328453488974364551479664491712709446683654920486303612501136017960832277006463236581263737141863077413884769901420376602705639215763377411817746472522030541059846}
30822 3480297957798216348357604187761569265792314681259719660953807222545677321812321320036310: {154085,184902,400517,585257,677798,1047302,1262021,1725304,1815017,1940967,2310675,2464720,2772810,2892662,2957664,3203512,3327372,3347717,3603951,4555588,4631321,5082495,5302277,5421328,5485097,5850521,6098994,6572582,6939782,7005797,7504708,7546735,8037017,8040518,8218757,8642537,8944997,9056082,9139958,9549317,10092521,10585912,10755557,10781050,11357477,11909151,12738857,12937260,13043512,13098521,13158437,13799744,13889222,14517304,14673951,15131177,15250457,15401500,15429317,15524712,16072982,16331967,17035817,17162918,17213957,17465301,18103577,18481800,18695657,18925395,18976598,19255108,19346021,19700357,19713920,19936421,20038431,20187088,20584937,20792025,21350117,21509702,21644057,21877624,22055237,22178160,22181188,22583321,22710474,23656704,23675318,23855275,24280517,24338921,24612327,24950430,25155737,25307512,25854617,26195318,26613792,26776504,27755512,28118021,28470951,28626330,28985321,29066678,29476228,29940516,30123567,30369257,30534752,30772037,31180024,31224951,31242715,31576421,31633817,31805957,33335823,34112824,34151321,34208357,34351596,35006021,35077527,35347397,36199577,36936677,37270502,37491258,38124521,38376927,38970821,39752198,39851035,40947064,41162777,41167142,41834777,42114437,42226838,42282137,42409912,42534724,42840617,43509737,43676837,43872184,44288921,44632450,45454757,45513267,45749798,45953321,46017595,46065447,46174697,46452662,46530195,46782821,47114117,47334821,47711151,47821242,48557798,48656357,48836751,49284735,49315397,49356207,49479977,49632208,49711315,50082821,50605135,51121817,51589551,51940037,52266821,52570384,53558940,53896421,54221477,54513151,54577912,54654437,54978821,55221114,55302917,55836234,56232278,56327321,56579462,56926502,56930050,57054235,57080297,57129536,58420997,58463224,58659542,59141682,59329817,59489957,59653578,60289577,60516724,60608921,60726162,61400151,61424918,61724357,61936421,62007595,62269963,62413097,62829304,63041235,63047657,63148598,64102697,64270728,64283512,64313321,64879167,64891877,65102021,65212262,65555702,65771127,65836517,66232948,67243984,67674424,67770137,67926437,68030597,68298038,68316060,68465082,68498921,69796228,70107077,70279167,70348742,70682967,70765519,70882457,71810537,71913497,72293050,72304569,72318951,72754495,72870464,73197797,73352308,73455151,73914821,74409114,74828611,74885417,74930104,75191321,75385407,75649482,75791942,75903977,76130918,76133727,76191988,76208921,76259717,76970021,77273957,77823638,77875930,78234521,78537257,79996421,80447897,80524502,81048857,81209947,81506050,81948137,81979272,81983395,82745321,82880198,83441177,83665675,83937257,84036377,84223142,84296367,84581944,84679877,85063864,85389124,85420697,85519337,85667237,86454821,86751660,86902118,87236342,87305394,87504628,87570422,87632357,88170521,88672431,88957090,89238662,89261935,89398264,90119321,91137317,91862297,92226681,92535104,92585477,93018521,93451116,93546917,93962635,94134607,94221782,94552838,94669887,94688824,94696421,95154687,95696847,96554537,96602021,96749635,97118791,97196102,97226031,97550021,97597337,97807260,98380074,98730521,98843462,99013097,99443524,...,878559116870702668592498018706353209831695825710487974520275330090901442965445990691118936819600042837001818764590200939297829749123257376474517872107040938697763549991387058668626510215929398528082625471556683969368999457834128243851780551937201111676601810783537812545544796378949796231056997763529512796652355022310511080582559013666204778186258810195376386001778974222293856348380314447906867532188306121063327783452742744101783167972272453728304175693083300388995318147850119260801781907081212670672010692928058130551468413638664286931491746165678811829458584265449311859496926364629207010419858635994420393819777726261415459203627351334422685044366958520708148717312195398537125651340063076603453974792155868213879049159791958603741166953326752612232520317451964885931593544509307757675097563971692370006327711434836003658624741057690850535243404854195269996599720113157588454054282813140929795272844145384341753305882870309938042552961237560325580961724373905262140152819061025898065967325075555667798141440308462047954595310961309977634862206885943350807809545277048835793743815798635956474131688094133036255779853409642972226389072403109176661944382275673242978758899739713638121310866875824729901192236858030394240911882779518672833116208082759676318163232293740611384218350580186104755239006906376449078220698536413096173042738309033389140331020344980477570748836025758448838683165016322041973177305872944780803882750091363753276391679295899219719025472122021049232365201784034789434215764454644009306773063662434497098336666606825187238562736820573636295762038237337638206711218604807209246012751874070636268163293280445382726603188132659914422417256624258466129982429291746988121363881956514631957209518939850681380979147102913713596992575277100060550706904119101785245368189373828804888446568854433839742333977876472029641946213102046083315750376612806081204115045225777764254262511953695216080191031679833990849444684837375242593368314171139000562177691741193341894451678942986151680049153738290030822889184950424964390578792686315100703922285544728265253427595331673285841690987031034681463017817976821554230841729026018038314812522667046630388816896446973083702149451832584643572338539835902235244583754219063634082538931599263797835240313158378487398335737224662656790514549104159647055692683976359256696966716839362780953636567702703940198843915271062935449936405476243712178154743964052599997271029020928291609087005040051915388271000663811917104405021026566592068823641896953375775927782741267170075391855274659939618957369307926586954464740970060988367724838991481229784710710149121562376764626846031796747770925295821318924922874771367082574872634787254249742453197115164408650006101023783509203001994016793482916659091809041085492349918267344718130456048057714557401322085195649015784223372269157053355290991573643664498254476932890228902596495026064226919554690161479983277329320527382613229928307257032749181033282961909246934480050318839387451365120486437836705882377120292115853399540535457721014457624010046540996437279114295468945804072220301313233507484809488366452318617053888499251932302555285136161008195007311225171760136733777033708291952356259628811141565719477789646533992106730797521163620398481797138664610223103491929180033649963377423477930628696762747839858403233154340806232964129067829699781820007372351821325467766945047322162916188219637542736274356190530622729685215003528359411239006796530287214526334128367255413485807290864688599728169230059887401080222552569858345184976424679715746455168365922228172540288955360174175727476210362320838130977359273117786138213879082044590333027355275102749174203957139357627373787686292095156742131701108123646633523327993029304740955345698603226429938767489048647819371127578271492573922258592104259307849806733490513420259049748848985002665773592786548373652891975198008501245849850475666390696419826307314451731976017603507778316206640845193876753942286185961130914544033289970874759148106760602501187881334607145294971405625915084552351130927582252079054899672404687763013951693192628669362611679665310832322141651053443700577552020198682179326222408857122953111882333363292763086169660976494684625961613116473230857922046626648214184963649577599759357842881994032058248308775547302434124938670910274907648550840158005211476223615693712064044635626595793457299090591759645606537136775187181769451330714697692545152393086212320124104377887160281016182238726805539668394686126100622754120939703539713278985279598967323530098999600127378683821737879441725421317643279338639018885164076425869157292729098594362148114211730783376809060453897357708298799936394993252792589527713509329456970989711393043377562340812417079448950011684138443059561300827191796492680233461546827219496737569064170025482380729455418751704026941248415509694854871895605712794616120827154852130564904058458823645066117726619708783045811589769}
30823 3490963313941529344454707754976398744196281367921430528592023014728351110709848859299244: {246536,277353,1016697,1509641,1570953,2156630,2587956,2803073,3080900,3697080,3943552,4004390,4159215,4338993,4436496,4743662,4805268,4991058,5694485,6776660,6833382,8131992,9148491,9262673,9380885,9858873,10409673,10496321,11257062,11413073,11604437,12060777,12074776,12702641,13232390,13451297,13584123,13709937,14801813,15878868,16171575,16304390,17249680,17663702,18125297,18146630,18796193,19142921,19251875,19405890,19565268,19638278,20699616,20833833,21191573,21775956,22144073,22487753,23102250,23287068,23429441,23964377,24068885,24070742,24109473,24286073,24642400,25049222,25233860,25744377,26179313,26717908,27282521,27347030,27466001,27655937,27722700,27726485,28464897,28882662,29570880,29848721,30280632,30418673,31542272,31634390,31808942,32264553,32434742,32816436,33002261,33154433,33267240,33271782,33470630,33911846,34065711,34694390,35485056,35512977,35828681,35862662,36812897,36845285,37108673,37425645,37961268,38168440,38388161,38729093,38975030,39292977,39920688,40164756,41116673,41266361,41633268,42641030,42707873,42883622,42939495,43428182,43600017,44214342,44447764,44910774,45093893,45802128,45999086,46770036,47755673,49149686,49988344,50927921,51155321,51169236,51183830,51527394,51590633,51743366,53012390,53168405,53760953,54840230,54953657,54975641,55422497,55905753,56107502,56236887,56248073,56593001,56881541,58007702,58838486,58919057,59215121,59390357,59628297,59702561,60684356,60986321,61420596,61750713,62040260,62407001,63340257,63614868,63761656,63802086,65115668,65541542,65563841,65712980,65808276,66525953,66948675,67077041,68222390,68498393,68624697,68786068,68902613,69582062,69678993,70026833,71278337,71411920,71731863,72274862,72721193,72836697,73079030,73628152,74009201,74023601,74430881,74448312,75216137,75645905,76312742,78223481,78536630,78855576,79538104,80338410,80354390,80636582,80968216,81802181,81866868,82791185,82831671,82852721,82955813,83754351,84054980,84348417,84593030,84709577,84869193,84911753,85389753,85395075,85694304,86350661,86505556,87245285,87694836,87989313,88484153,88712523,89480367,89756561,90775086,91088080,91089243,91286776,91690385,92137377,92617733,93662630,93705556,93791918,94243956,94288913,94722897,95036777,95239985,95443481,96389273,96406092,96425268,97211201,97818393,97989977,98023217,98333553,99212152,99349422,99447017,99714017,...,1171412155827603558123330691608470946442261100947317299360367106787868590620594654254825249092800057116002425019453601252397106332164343168632690496142721251597018066655182744891502013621239198037443500628742245292491999277112170991802374069249601482235469081044717083394059728505266394974742663684706017062203140029747348107443412018221606370915011746927168514669038632296391808464507085930542490042917741494751103711270323658802377557296363271637738900924111067185327090863800159014402375876108283560896014257237410840735291218184885715908655661554238415772611445687265749145995901819505609347226478181325893858426370301681887278938169801779230246725822611360944198289749593864716167535120084102137938633056207824285172065546389278138321555937769003482976693756602619847908791392679077010233463418628923160008436948579781338211499654743587800713657873138927026662132960150876784605405710417521239727030458860512455671074510493746584056737281650080434107948965831873682853537092081367864087956433434074223730855253744616063939460414615079970179816275847924467743746060369398447724991754398181275298842250792177381674373137879523962968518763204145568882592509700897657305011866319618184161747822501099639868256315810707192321215843706024897110821610777012901757550976391654148512291134106914806340318675875168598770960931381884128230723651078711185520441360459973970094331781367677931784910886688429389297569741163926374405177000121818337701855572394532292958700629496028065643153602378713052578954352606192012409030751549912662797782222142433582984750315760764848394349384316450184275614958139742945661350335832094181690884391040593843635470917510213219229889675499011288173309905722329317495151842608686175942946025253134241841305529470551618129323433702800080734275872158802380327157585831771739851262091805911786323111970501962706189261617469394777754333835483741441605486726967703685672350015938260288106921375573111987799259579783166990124491085561518667416236922321591122525935571923981535573398871651053374430518913267233285854105056915086800938563047392971020337903460442231047788921316041379575284023757302428738974455638701357384419750030222728840518422528595964111602865935776779524763118053114536313659445005625418178776718575465685063780320417544504649864447649632883542387352732138879529407590245301812342262622289119150374604848756936938586931791887028083913933248540634991616237539658618736799996361372027904388812116006720069220517694667551749222805873361368755456091764855862604501034570376988356226767189140366213252825276492410568782605952987960081317823633118655308306379614280198828749835686169128042395663694567061095091899897166361822776766496846383005666323270929486885878200008134698378012270669325355724643888878789078721447323133224356459624173941397410286076535096113594198687712297829692209404473721322098191552664339302577186971870128660034752302559406253548639977703105760703176817639904409676043665574711043949212329245973400425119183268486827315250448941176502827056154471199387380610294685943498680062054661916372152393958594405429627068417644676646412651155269758156071851332335909736740380181548010926676414966895680182311702711611055936475012838414855420959303719528711989475641063361551493864642396184886146964137989238906711533284503231303907504929016997119811204310872454408310618838757106266375760009829802428433957022593396429550554917626183390315032474920707496972913620004704479214985342395373716286035112171156340551314409721152918132970892306746516534773630070093144460246635232906287661940224487896304230053718607146898900969968280483094450841303145697490381517618505442726120444036473700136998898938609519143503165050248389460208989508934810831528844697770657372406321273794264804301906585023318731530425828170104361990098563011456139012410466408977987351227012066331798646670221031457048731164870522633597344668327799800634221854261893101743085935642634690138010371088275521126925169005256381581281507886058711053294499678864142347470001583841779476193726628540834553446069801507903443002772073199563206250350685268924256838225816815572887081109762855534737924934103402693598242905768296545142830604149176444484390350781559547968659579501282150821964307810562728835530952246618199436799679143790509325376077664411700729736578833251561213699876864734453544006948634964820924949418726180835461057943065454122346194142049515700249575692601774286263590060203190781616426832139170516213708021576318302407386224526248168134163672161252938052951038647039465289764706798666133503171578428983839255633895090191039118185358513552101901158876390305464792482864152282307711169078747271863143611065066581859991003723452703618012439275961319615190724503416454416556105931933348912184590746081734436255728656906977948729102959328983425418893367309840972607225002272035921664554012926473162527474283726154827769539802840753205411278431526754823635492945044061082119692}
30824 3501661165906026849196972161391201685440242925692391663213807732079118016354812387916734: {215719,308170,369804,801034,1170514,1323583,1355596,1876543,2060719,2094604,2524042,2980519,3234945,3450608,3630034,3851125,3881934,3898519,4621350,4929440,4997743,5545620,5546383,5785324,5911783,5915328,6006585,6407024,6654744,6695434,7115493,7207902,7486587,8279863,8470825,9111176,9262642,9368719,10093183,10164990,10250073,10565429,10604554,10842656,10970194,11701042,12079519,12197988,12799663,13145164,13159303,13877719,13879564,14011594,15009416,15093470,16074034,16081036,16437514,16885593,17274463,17285074,17889994,18112164,18164023,18279916,18519343,19098634,19406383,19848585,20185042,20821903,21171824,21511114,21562100,21880519,22056703,22714954,23818302,24340543,24456585,25477714,25874520,26087024,26197042,26263519,26316874,26495553,27134719,27219945,27599488,27778444,29034608,29108835,29347902,29457417,29564503,30262354,30428863,30500914,30803000,30858634,31049424,31542325,31635943,32145964,32663934,33397385,34071634,34210663,34325836,34427914,34653375,34930602,35918143,36106113,36207154,36599119,36963600,37391314,37573833,37850790,37953196,38296519,38510216,38692042,39400714,39427840,39872842,40076862,40374176,40660783,41020545,41169874,41584050,41837623,42700234,43019404,43288114,43323993,43739801,43755248,44110474,44356320,44362376,45166642,45420948,47313408,47350636,47451585,47710550,47713413,48329719,48561034,48652113,48677842,49224654,49318783,49900860,49907673,50141023,50205945,50311474,50615024,50797519,50867769,51709234,52041585,52270423,52390636,53227584,53553008,53793993,55511024,55559705,55791449,56236042,56941902,57252660,57299119,57942943,57970642,58103719,58133356,58462545,58952456,59066863,59881032,60247134,60666343,60738514,61069504,61304119,61544074,61940743,62360048,62449902,62485430,63052063,63152842,63267634,63527263,63611914,63961545,64317823,64325433,64424633,65142273,65264119,65893543,66321513,66671646,66835519,67366161,67618519,68225648,68302642,68416714,68703192,68998629,69179119,69595841,70012042,70112023,70155054,70694794,70847189,72399154,73724529,73873354,74541004,74982516,75855445,76249042,76265143,76753854,76775745,77291091,77550325,77615049,77633719,77941642,78391519,79504396,79518585,79702070,79875929,79901719,81394585,81894128,82141225,82260345,82325554,82334284,83496823,83631977,83669554,84161253,84228874,84453676,84564274,84819824,84982543,85069448,85681234,85982585,86810633,87011553,87019474,87353674,87744368,88257729,88433813,88577842,89264900,90909514,91026534,91499596,91868983,91906642,92035190,92130894,92349394,92905324,93060390,93565642,94228234,94607719,94669642,94751143,95422302,95642484,95703129,96609103,96751519,97115596,97312714,97320463,97604503,97673502,98312313,98313343,98569470,98630794,98712414,98959954,99264416,99422630,...,1757118233741405337184996037412706419663391651420975949040550660181802885930891981382237873639200085674003637529180401878595659498246514752949035744214081877395527099982774117337253020431858797056165250943113367938737998915668256487703561103874402223353203621567075625091089592757899592462113995527059025593304710044621022161165118027332409556372517620390752772003557948444587712696760628895813735064376612242126655566905485488203566335944544907456608351386166600777990636295700238521603563814162425341344021385856116261102936827277328573862983492331357623658917168530898623718993852729258414020839717271988840787639555452522830918407254702668845370088733917041416297434624390797074251302680126153206907949584311736427758098319583917207482333906653505224465040634903929771863187089018615515350195127943384740012655422869672007317249482115381701070486809708390539993199440226315176908108565626281859590545688290768683506611765740619876085105922475120651161923448747810524280305638122051796131934650151111335596282880616924095909190621922619955269724413771886701615619090554097671587487631597271912948263376188266072511559706819285944452778144806218353323888764551346485957517799479427276242621733751649459802384473716060788481823765559037345666232416165519352636326464587481222768436701160372209510478013812752898156441397072826192346085476618066778280662040689960955141497672051516897677366330032644083946354611745889561607765500182727506552783358591798439438050944244042098464730403568069578868431528909288018613546127324868994196673333213650374477125473641147272591524076474675276413422437209614418492025503748141272536326586560890765453206376265319828844834513248516932259964858583493976242727763913029263914419037879701362761958294205827427193985150554200121101413808238203570490736378747657609776893137708867679484667955752944059283892426204092166631500753225612162408230090451555528508525023907390432160382063359667981698889369674750485186736628342278001124355383482386683788903357885972303360098307476580061645778369900849928781157585372630201407844571089456530506855190663346571683381974062069362926035635953643108461683458052036076629625045334093260777633792893946167404298903665169287144677079671804470489167508438127268165077863198527595670480626316756974796671474449325313581029098208319294111385367952718513393933433678725561907273135405407880397687830542125870899872810952487424356309487928105199994542058041856583218174010080103830776542001327623834208810042053133184137647283793906751551855565482534340150783710549319879237914738615853173908929481940121976735449677982962459569421420298243124753529253692063593495541850591642637849845749542734165149745269574508499484906394230328817300012202047567018406003988033586965833318183618082170984699836534689436260912096115429114802644170391298031568446744538314106710581983147287328996508953865780457805192990052128453839109380322959966554658641054765226459856614514065498362066565923818493868960100637678774902730240972875673411764754240584231706799081070915442028915248020093081992874558228590937891608144440602626467014969618976732904637234107776998503864605110570272322016390014622450343520273467554067416583904712519257622283131438955579293067984213461595042327240796963594277329220446206983858360067299926754846955861257393525495679716806466308681612465928258135659399563640014744703642650935533890094644325832376439275085472548712381061245459370430007056718822478013593060574429052668256734510826971614581729377199456338460119774802160445105139716690369952849359431492910336731844456345080577910720348351454952420724641676261954718546235572276427758164089180666054710550205498348407914278715254747575372584190313484263402216247293267046655986058609481910691397206452859877534978097295638742255156542985147844517184208518615699613466981026840518099497697970005331547185573096747305783950396017002491699700951332781392839652614628903463952035207015556632413281690387753507884572371922261829088066579941749518296213521205002375762669214290589942811251830169104702261855164504158109799344809375526027903386385257338725223359330621664644283302106887401155104040397364358652444817714245906223764666726585526172339321952989369251923226232946461715844093253296428369927299155199518715685763988064116496617551094604868249877341820549815297101680316010422952447231387424128089271253191586914598181183519291213074273550374363538902661429395385090304786172424640248208755774320562032364477453611079336789372252201245508241879407079426557970559197934647060197999200254757367643475758883450842635286558677278037770328152851738314585458197188724296228423461566753618120907794715416597599872789986505585179055427018658913941979422786086755124681624834158897900023368276886119122601654383592985360466923093654438993475138128340050964761458910837503408053882496831019389709743791211425589232241654309704261129808116917647290132235453239417566091623179538}
30825 3512391612131546896340286781620742343832588361226372625166272314456894819483493365453873: {462255,493072,554706,1201551,1694495,1755771,2033394,2618255,3019282,3141906,3727163,3786063,4313260,5175912,5445051,5606146,5822901,6161800,6932025,7231655,7394160,7887104,7972279,8008780,8318430,8677986,8872992,9487324,9610536,9982116,10043151,10811853,11388970,12404743,13133239,13553320,13666764,13878623,13893963,15247485,15906831,16263984,16431455,16455291,17349455,17551563,18296982,18525346,18761770,19717746,20101295,20525591,20819346,20992642,21017391,22514124,22640205,22826146,22849895,23208874,24111051,24121554,24149552,24656271,25133371,25405282,25927611,26464780,26834991,26902594,26952625,27168246,27419874,28647951,29563243,29603626,30277563,31757736,32266671,32343150,32608780,33696439,34072431,34122143,34499360,34723055,35278279,35327404,35727453,36142139,36250594,36293260,37592386,38216571,38285842,38503750,38811780,38817079,39130536,39276556,39295563,39475311,40182455,41399232,41667666,42383146,42907295,43506151,43551912,44021853,44288146,44975506,45393531,45751371,46121227,46204500,46230239,46287951,46574136,46858882,47441495,47928754,48137770,48141484,48218946,48572146,48995901,49284800,50098444,50467720,51107451,51488754,51583399,51641871,52358626,52395903,52723919,53435816,53774255,54310731,54565042,54694060,54932002,55311874,55445400,55452970,56086971,56776185,56929794,57765324,58038063,59101071,59141760,59188295,59697442,59809263,60085771,60115293,60187543,60561264,60837346,61754811,62376075,62869511,63084544,63268780,63573487,63617884,63819979,64050351,64529106,64869484,64932171,64945231,65488295,65632872,66004522,66165711,66308866,66534480,66543564,66941260,67749963,67823692,68131422,68317679,69350839,69388780,70970112,71025954,71432759,71565825,71657362,71725324,72074743,72666695,72841551,73016763,73625794,73690570,73836981,73926191,74217346,74435767,74851290,75467211,75922536,76336880,76776322,77458186,77563851,77950060,78585954,79254767,79760711,79841376,80329512,82233346,82532722,83266536,84354063,85282060,85412853,85415746,85767244,85878990,86384639,86856364,86955963,87200034,88428684,88895528,89405543,89821548,90187786,90370701,91107771,91425967,91604256,91998172,92305879,92316111,92411723,93176255,93540072,93674853,93728145,94729263,94901371,94901451,95227967,95417871,95511346,96039551,98299372,99380495,99976688,...,2635677350612108005777494056119059629495087477131463923560825990272704328896337972073356810458800128511005456293770602817893489247369772129423553616321122816093290649974161176005879530647788195584247876414670051908106998373502384731555341655811603335029805432350613437636634389136849388693170993290588538389957065066931533241747677040998614334558776430586129158005336922666881569045140943343720602596564918363189983350358228232305349503916817361184912527079249901166985954443550357782405345721243638012016032078784174391654405240915992860794475238497036435488375752796347935578490779093887621031259575907983261181459333178784246377610882054003268055133100875562124446151936586195611376954020189229810361924376467604641637147479375875811223500859980257836697560952355894657794780633527923273025292691915077110018983134304508010975874223173072551605730214562585809989799160339472765362162848439422789385818532436153025259917648610929814127658883712680976742885173121715786420458457183077694197901975226667003394424320925386143863785932883929932904586620657830052423428635831146507381231447395907869422395064282399108767339560228928916679167217209327529985833146827019728936276699219140914363932600627474189703576710574091182722735648338556018499348624248279028954489696881221834152655051740558314265717020719129347234662095609239288519128214927100167420993061034941432712246508077275346516049495048966125919531917618834342411648250274091259829175037887697659157076416366063147697095605352104368302647293363932027920319190987303491295009999820475561715688210461720908887286114712012914620133655814421627738038255622211908804489879841336148179809564397979743267251769872775398389947287875240964364091645869543895871628556819552044142937441308741140790977725831300181652120712357305355736104568121486414665339706563301519227001933629416088925838639306138249947251129838418243612345135677333292762787535861085648240573095039501972548334054512125727780104942513417001686533075223580025683355036828958455040147461214870092468667554851274893171736378058945302111766856634184795760282785995019857525072961093104044389053453930464662692525187078054114944437568001139891166450689340919251106448355497753930717015619507706705733751262657190902247616794797791393505720939475135462195007211673987970371543647312478941167078051929077770090900150518088342860909703108111820596531745813188806349809216428731136534464231892157799991813087062784874827261015120155746164813001991435751313215063079699776206470925690860127327783348223801510226175565823979818856872107923779760863394222910182965103174516974443689354132130447364687130293880538095390243312775887463956774768624314101247724617904361762749227359591345493225950018303071350527609005982050380448749977275427123256477049754802034154391368144173143672203966255586947047352670116807471160065872974720930993494763430798670686707789485078192680758664070484439949831987961582147839689784921771098247543099848885727740803440150956518162354095361459313510117647131360876347560198621606373163043372872030139622989311837342886406837412216660903939700522454428465099356955851161665497755796907665855408483024585021933675515280410201331101124875857068778886433424697158433368939601976320192392563490861195445391415993830669310475787540100949890132270433791886090288243519575209699463022418698892387203489099345460022117055463976403300835141966488748564658912628208823068571591868189055645010585078233717020389590861643579002385101766240457421872594065799184507690179662203240667657709575035554929274039147239365505097766684517620866866080522527182428631086962514392932077819353358414641637246133770999082065825308247522611871418072882121363058876285470226395103324370939900569983979087914222866037095809679289816302467145943458113382734814477721766775776312777923549420200471540260777149246546955007997320778359645120958675925594025503737549551426999172089259478921943355195928052810523334948619922535581630261826858557883392743632099869912624277444320281807503563644003821435884914216877745253657053392782746756237164699017214063289041855079577886008087835038995932496966424953160331101732656060596046537978667226571368859335647000089878289258508982929484053877884839349419692573766139879944642554890948732799278073528645982096174744926326641907302374816012730824722945652520474015634428670847081136192133906879787380371897271775278936819611410325561545308353992144093077635457179258636960372313133661480843048546716180416619005184058378301868262362819110619139836955838796901970590296998800382136051465213638325176263952929838015917056655492229277607471878187295783086444342635192350130427181361692073124896399809184979758377768583140527988370912969134179130132687022437251238346850035052415329178683902481575389478040700384640481658490212707192510076447142188366256255112080823745246529084564615686817138383848362481464556391694712175376470935198353179859126349137434769307}
30826 3523154751354413085950258957193701660450277669845085018543025070160429299930769684965775: {431438,523753,616340,708469,739608,832059,1602068,1630969,2341028,2647166,2711192,3050091,3470569,3753086,4121438,4189208,4204393,4528923,4570873,4712859,5048084,5391575,5961038,6469890,6901216,7128169,7260068,7702250,7763868,7797038,8219833,8409219,9242700,9671353,9858880,9995486,10010975,10937653,11091240,11092766,11570648,11823566,11830656,11859155,12013170,12477645,12814048,13016979,13309488,13390868,14230986,14415804,14536213,14973174,15252469,16559726,16859833,16941650,17083455,18222352,18525284,18737438,20186366,20329980,20500146,21130858,21209108,21685312,21940388,23402084,23933113,24159038,24395976,25599326,26290328,26318606,27445473,27755438,27759128,27788019,28023188,28142655,28295413,28468969,29576619,30018832,30186940,31229019,31488963,32148068,32162072,32784469,32875028,32956153,33080975,33771186,34239219,34498069,34548926,34570148,34813311,35352169,35779988,36182331,36224328,36328046,36559832,37038686,37224853,38073193,38107923,38197268,38812766,39697170,40353891,40370084,40438969,40752369,40760975,41129811,41643806,41952373,42287893,42343648,43022228,43124200,43627093,43761038,43794169,43961173,44113406,44159255,44405439,44628469,45366575,45429908,46291669,46756339,47286133,47636604,48514725,48681086,48913170,49095695,49431913,50955428,51749040,52174048,52394084,52527038,52633748,52991106,53524213,54269438,54337273,54375891,54439890,55198976,55556888,56388579,57428763,57755625,58069216,58217670,58695804,58914834,59129006,60176855,60524708,60857726,61001828,61095913,61606000,61717268,62098848,62501499,62623055,63084650,63162133,63271886,63574719,64291928,64743253,65327868,65845753,66432219,66474169,66794770,67463259,68040169,68143268,68367575,68421326,68651672,68664553,68820469,68855828,69306750,69861204,70220473,70288323,71836286,71893131,71923669,72078073,72206655,72212226,72328419,72414308,72858219,73198238,73927200,74782628,74998069,75147666,75701580,75906392,76593038,76676713,77020432,77233131,77384084,77783587,78537939,78801428,78855680,79085975,79522355,79555669,79745684,80153724,80459413,80748352,81086855,81210553,81321566,81847563,82041090,82339748,82398003,82967811,83168100,83179455,83453173,83675246,83676575,84048469,84779615,85394691,85400468,85531669,85663523,85679593,86038808,86576228,86647986,86735975,86860393,87479602,87510496,88220948,88622953,88712640,88724752,89546163,89656655,90333284,90811573,90841896,91256019,91972213,92983993,94626816,94701272,94903170,95421100,95426826,96283573,96659438,96793659,97122068,97304226,97355684,97437575,97852799,98449308,98637566,98837791,99006783,99463299,99801720,99815346,...,3514236467482810674369992074825412839326783302841951898081101320363605771861783962764475747278400171348007275058360803757191318996493029505898071488428163754791054199965548234674506040863717594112330501886226735877475997831336512975407122207748804446706407243134151250182179185515799184924227991054118051186609420089242044322330236054664819112745035240781505544007115896889175425393521257791627470128753224484253311133810970976407132671889089814913216702772333201555981272591400477043207127628324850682688042771712232522205873654554657147725966984662715247317834337061797247437987705458516828041679434543977681575279110905045661836814509405337690740177467834082832594869248781594148502605360252306413815899168623472855516196639167834414964667813307010448930081269807859543726374178037231030700390255886769480025310845739344014634498964230763402140973619416781079986398880452630353816217131252563719181091376581537367013223531481239752170211844950241302323846897495621048560611276244103592263869300302222671192565761233848191818381243845239910539448827543773403231238181108195343174975263194543825896526752376532145023119413638571888905556289612436706647777529102692971915035598958854552485243467503298919604768947432121576963647531118074691332464832331038705272652929174962445536873402320744419020956027625505796312882794145652384692170953236133556561324081379921910282995344103033795354732660065288167892709223491779123215531000365455013105566717183596878876101888488084196929460807136139157736863057818576037227092254649737988393346666427300748954250947282294545183048152949350552826844874419228836984051007496282545072653173121781530906412752530639657689669026497033864519929717166987952485455527826058527828838075759402725523916588411654854387970301108400242202827616476407140981472757495315219553786275417735358969335911505888118567784852408184333263001506451224324816460180903111057017050047814780864320764126719335963397778739349500970373473256684556002248710766964773367577806715771944606720196614953160123291556739801699857562315170745260402815689142178913061013710381326693143366763948124138725852071271907286216923366916104072153259250090668186521555267585787892334808597807330338574289354159343608940978335016876254536330155726397055191340961252633513949593342948898650627162058196416638588222770735905437026787866867357451123814546270810815760795375661084251741799745621904974848712618975856210399989084116083713166436348020160207661553084002655247668417620084106266368275294567587813503103711130965068680301567421098639758475829477231706347817858963880243953470899355965924919138842840596486249507058507384127186991083701183285275699691499085468330299490539149016998969812788460657634600024404095134036812007976067173931666636367236164341969399673069378872521824192230858229605288340782596063136893489076628213421163966294574657993017907731560915610385980104256907678218760645919933109317282109530452919713229028130996724133131847636987737920201275357549805460481945751346823529508481168463413598162141830884057830496040186163985749116457181875783216288881205252934029939237953465809274468215553997007729210221140544644032780029244900687040546935108134833167809425038515244566262877911158586135968426923190084654481593927188554658440892413967716720134599853509693911722514787050991359433612932617363224931856516271318799127280029489407285301871067780189288651664752878550170945097424762122490918740860014113437644956027186121148858105336513469021653943229163458754398912676920239549604320890210279433380739905698718862985820673463688912690161155821440696702909904841449283352523909437092471144552855516328178361332109421100410996696815828557430509495150745168380626968526804432494586534093311972117218963821382794412905719755069956194591277484510313085970295689034368417037231399226933962053681036198995395940010663094371146193494611567900792034004983399401902665562785679305229257806927904070414031113264826563380775507015769144743844523658176133159883499036592427042410004751525338428581179885622503660338209404523710329008316219598689618751052055806772770514677450446718661243329288566604213774802310208080794728717304889635428491812447529333453171052344678643905978738503846452465892923431688186506592856739854598310399037431371527976128232993235102189209736499754683641099630594203360632020845904894462774848256178542506383173829196362367038582426148547100748727077805322858790770180609572344849280496417511548641124064728954907222158673578744504402491016483758814158853115941118395869294120395998400509514735286951517766901685270573117354556075540656305703476629170916394377448592456846923133507236241815589430833195199745579973011170358110854037317827883958845572173510249363249668317795800046736553772238245203308767185970720933846187308877986950276256680101929522917821675006816107764993662038779419487582422851178464483308619408522259616233835294580264470906478835132183246359076}
30827 3533950682608322401801662666536761990599124138050297846558357149800289286854322451574453: {647157,770425,924510,986144,1109412,2002585,2372293,2403102,2926285,3388990,3511542,3665557,3970749,4066788,4404829,5236510,5629629,6038564,6182157,6283812,6310105,7454326,7572126,8626520,8941557,9075085,9704835,10124317,10351824,10890102,11212292,11553375,11645802,11695557,12323600,13864050,14463310,14555629,14788320,14993229,15175033,15774208,15944558,16017560,16283149,16402009,16636860,16639149,16738585,17355972,17735349,17745984,17934829,18019755,18974648,19221072,19356217,19961293,19964232,20086302,21346479,21623706,21941149,22459761,22777940,23004037,23156605,24289237,24579637,24809486,24839589,25412475,26266478,26511385,27106640,27333528,27425485,27712057,27757246,27787926,28106157,28141813,29009509,29252605,30081733,30279549,30494970,30750219,31696287,31813662,31989853,32527968,32862910,32910582,33248317,34698910,34797829,35028985,35103126,36238557,36570073,36593964,36817693,37050692,37523540,37733675,38163829,38398989,39435492,39477909,40185085,40202590,40326169,41051182,41093785,41633157,41638692,41985284,42034782,42713437,42872533,43212685,43355797,44724985,45028248,45280410,45652292,45699790,46417748,46905133,47746585,48222102,48243108,48299104,48612277,49312542,50266742,50462605,50645737,50656779,50810564,51823389,51855222,52929560,53669982,53767957,53777785,53805188,53905250,54336492,54492069,54635737,54839748,55558029,55848757,56255437,56302213,56787385,57295902,58219149,58313629,58926733,58968937,59126486,59207252,59545755,60070213,60324253,60555126,62465709,63266893,63515472,63694285,64533342,64686300,65217560,65492605,65641557,65792185,66170109,66418093,67392878,68144862,68244286,68507317,68998720,69446110,70556558,70654808,71323069,71454906,72284278,72475573,72501188,72586520,73021629,73369755,74328613,75044629,75184772,75283957,75545317,75655885,76252285,76355053,76433142,76540957,76571684,77007500,77146585,77623560,77634158,77664313,78261072,78553112,78591126,78790557,78950622,79024549,79486659,79836613,80364910,80386933,81404157,81659835,82798464,82863613,83335332,84720613,84766292,85179085,85814590,86069785,86390293,86995477,87012302,87103824,87326505,88043706,88372251,88389829,88576292,88693509,89607517,89911513,89951012,90103417,90517885,90787062,91286589,91502742,91683613,91924009,92242454,92409000,92460478,92575902,93052333,93148272,93210133,93478285,93717764,93766789,94301197,94626975,94882990,94907829,95857508,96275540,96282968,96437892,96715237,96730105,97007929,97144292,97991802,98501785,98569600,99295129,99459973,99682105,...,5271354701224216011554988112238119258990174954262927847121651980545408657792675944146713620917600257022010912587541205635786978494739544258847107232642245632186581299948322352011759061295576391168495752829340103816213996747004769463110683311623206670059610864701226875273268778273698777386341986581177076779914130133863066483495354081997228669117552861172258316010673845333763138090281886687441205193129836726379966700716456464610699007833634722369825054158499802333971908887100715564810691442487276024032064157568348783308810481831985721588950476994072870976751505592695871156981558187775242062519151815966522362918666357568492755221764108006536110266201751124248892303873172391222753908040378459620723848752935209283274294958751751622447001719960515673395121904711789315589561267055846546050585383830154220037966268609016021951748446346145103211460429125171619979598320678945530724325696878845578771637064872306050519835297221859628255317767425361953485770346243431572840916914366155388395803950453334006788848641850772287727571865767859865809173241315660104846857271662293014762462894791815738844790128564798217534679120457857833358334434418655059971666293654039457872553398438281828727865201254948379407153421148182365445471296677112036998697248496558057908979393762443668305310103481116628531434041438258694469324191218478577038256429854200334841986122069882865424493016154550693032098990097932251839063835237668684823296500548182519658350075775395318314152832732126295394191210704208736605294586727864055840638381974606982590019999640951123431376420923441817774572229424025829240267311628843255476076511244423817608979759682672296359619128795959486534503539745550796779894575750481928728183291739087791743257113639104088285874882617482281581955451662600363304241424714610711472209136242972829330679413126603038454003867258832177851677278612276499894502259676836487224690271354666585525575071722171296481146190079003945096668109024251455560209885026834003373066150447160051366710073657916910080294922429740184937335109702549786343472756117890604223533713268369591520565571990039715050145922186208088778106907860929325385050374156108229888875136002279782332901378681838502212896710995507861434031239015413411467502525314381804495233589595582787011441878950270924390014423347975940743087294624957882334156103858155540181800301036176685721819406216223641193063491626377612699618432857462273068928463784315599983626174125569749654522030240311492329626003982871502626430126159399552412941851381720254655566696447603020452351131647959637713744215847559521726788445820365930206349033948887378708264260894729374260587761076190780486625551774927913549537248628202495449235808723525498454719182690986451900036606142701055218011964100760897499954550854246512954099509604068308782736288346287344407932511173894094705340233614942320131745949441861986989526861597341373415578970156385361517328140968879899663975923164295679379569843542196495086199697771455481606880301913036324708190722918627020235294262721752695120397243212746326086745744060279245978623674685772813674824433321807879401044908856930198713911702323330995511593815331710816966049170043867351030560820402662202249751714137557772866849394316866737879203952640384785126981722390890782831987661338620951575080201899780264540867583772180576487039150419398926044837397784774406978198690920044234110927952806601670283932977497129317825256417646137143183736378111290021170156467434040779181723287158004770203532480914843745188131598369015380359324406481335315419150071109858548078294478731010195533369035241733732161045054364857262173925028785864155638706716829283274492267541998164131650616495045223742836145764242726117752570940452790206648741879801139967958175828445732074191619358579632604934291886916226765469628955443533551552625555847098840400943080521554298493093910015994641556719290241917351851188051007475099102853998344178518957843886710391856105621046669897239845071163260523653717115766785487264199739825248554888640563615007127288007642871769828433755490507314106785565493512474329398034428126578083710159155772016175670077991864993932849906320662203465312121192093075957334453142737718671294000179756578517017965858968107755769678698839385147532279759889285109781897465598556147057291964192349489852653283814604749632025461649445891305040948031268857341694162272384267813759574760743794543550557873639222820651123090616707984288186155270914358517273920744626267322961686097093432360833238010368116756603736524725638221238279673911677593803941180593997600764272102930427276650352527905859676031834113310984458555214943756374591566172888685270384700260854362723384146249792799618369959516755537166281055976741825938268358260265374044874502476693700070104830658357367804963150778956081400769280963316980425414385020152894284376732512510224161647490493058169129231373634276767696724962929112783389424350752941870396706359718252698274869538614}
30828 3544779505225235671974019640356669421676221978382842971053742002304728245875422919218056: {338987,585371,862876,1047506,1232680,1386765,1416938,1446707,1479216,1664118,2183747,3103427,3204136,3261938,3604653,4021307,4265771,4632227,4682056,4815347,5083485,5120387,5267313,5294332,5422384,5486171,5851667,6034307,6100182,6941138,7506172,7548205,7674827,7854765,8220371,8242876,8280947,8378416,8408786,9057846,9141746,9425718,9490787,10094507,10096168,10275467,10783150,10938371,11181489,11358189,11540171,11922076,12081107,12201227,12939780,13340771,13802432,13999187,14015365,14256338,14520136,14776067,15404500,15432371,15527736,15594076,15789947,16335153,16439666,16602817,16818438,16860947,17217371,17468703,17751467,18485400,18640187,19054307,19342706,19349867,19527107,19717760,19881371,19990972,20021950,20796075,20824667,21354371,21648371,21694965,21875306,22182480,22185532,22235771,22763747,23115371,23141296,23647132,23661312,23718310,23916837,24026340,24955290,25160771,25628096,26033958,26383307,26618976,26781736,27138347,27254387,28297307,28461972,28472425,28831608,29072426,29164427,29568467,29946348,30087371,30129453,30504938,30950771,31812371,32328467,32435559,33119452,33719666,33883300,34166910,35183867,36036587,36377171,36444704,37050568,37214229,37227371,37474876,38132267,38301707,38414627,39147827,39399717,40372732,40659960,41000292,41171171,41635869,41681889,41955227,42011171,42261716,42290771,42418216,43370624,43462907,43685771,43880776,44853707,45630371,45742455,46313365,46681907,46804168,46904425,46958147,47289371,47344547,47510027,47720493,47785667,47866226,48318076,48791952,49294365,49365873,49435307,49490171,51198652,52048365,52277627,52481605,52549787,52580656,52637212,52654689,54070187,54395171,54890946,54990227,55152347,55510876,55518256,55576038,56046376,56285171,56285310,56590826,56937938,57065365,57950987,58022185,58700771,59153238,59502371,60037664,60302171,60303885,60373880,61153307,61418867,61576773,61822957,62426171,62458038,62977926,63052173,63166547,63513205,63536147,63958067,64296136,64324144,64800371,65115707,65273267,65568938,65750056,65902787,65912306,66161950,66949427,67256485,67542372,67732307,67920615,67940771,68201171,68478438,68549685,68669387,68733973,68996138,69097852,69140296,69292667,69626622,70225427,70704338,71361947,71559976,71619707,71825771,72083171,72134627,72333153,72364662,72448656,72656092,73119664,73623371,73828187,73968813,74009065,74077372,74449706,74595107,75360227,75400113,76146386,76215846,76394536,76428371,76682171,76732907,76986467,77625532,77782833,77897627,78402707,78503627,79394340,80013587,80504973,80665667,80707782,80740168,80857875,80877938,81216371,81504738,81521950,81666227,82259622,83287612,83508827,83756987,83904746,83955371,84247597,84401267,84575786,84687296,84698171,84994787,85439171,85685771,85943853,86044456,86248400,86866667,87254186,87522076,87588338,87672277,87922346,87945107,88226812,88318510,88689729,88810878,88824587,89256938,90626485,90733150,90818171,90832689,90859816,90866627,91302371,91978907,92557547,92583338,93038867,93512678,93980965,94572266,94717187,94860587,95273208,95433467,95624171,95714605,96259375,96338171,96765707,96800013,97002947,97029450,97362172,97826340,98191390,98422187,98752307,98863826,98893667,...,7907032051836324017332482168357178888485262431394391770682477970818112986689013916220070431376400385533016368881311808453680467742109316388270660848963368448279871949922483528017638591943364586752743629244010155724320995120507154194666024967434810005089416297051840312909903167410548166079512979871765615169871195200794599725243031122995843003676329291758387474016010768000644707135422830031161807789694755089569950051074684696916048511750452083554737581237749703500957863330651073347216037163730914036048096236352523174963215722747978582383425715491109306465127258389043806735472337281662863093778727723949783544377999536352739132832646162009804165399302626686373338455809758586834130862060567689431085773129402813924911442438127627433670502579940773510092682857067683973384341900583769819075878075745231330056949402913524032927622669519217654817190643687757429969397481018418296086488545318268368157455597308459075779752945832789442382976651138042930228655519365147359261375371549233082593705925680001010183272962776158431591357798651789798713759861973490157270285907493439522143694342187723608267185192847197326302018680686786750037501651627982589957499440481059186808830097657422743091797801882422569110730131722273548168206945015668055498045872744837086863469090643665502457965155221674942797151062157388041703986286827717865557384644781300502262979183104824298136739524231826039548148485146898377758595752856503027234944750822273779487525113663092977471229249098189443091286816056313104907941880091796083760957572961910473885029999461426685147064631385162726661858344136038743860400967443264883214114766866635726413469639524008444539428693193939229801755309618326195169841863625722893092274937608631687614885670458656132428812323926223422372933177493900544956362137071916067208313704364459243996019119689904557681005800888248266777515917918414749841753389515254730837035407031999878288362607583256944721719285118505917645002163536377183340314827540251005059599225670740077050065110486875365120442383644610277406002664553824679515209134176835906335300569902554387280848357985059572575218883279312133167160361791393988077575561234162344833312704003419673499352068022757753319345066493261792151046858523120117201253787971572706742850384393374180517162818425406386585021635021963911114630941937436823501234155787233310272700451554265028582729109324335461789595237439566419049427649286193409603392695676473399975439261188354624481783045360467238494439005974307253939645189239099328619412777072580381983350044671404530678526697471939456570616323771339282590182668730548895309523550923331068062396391342094061390881641614286170729938327662391870324305872942303743173853713085288247682078774036479677850054909214051582827017946151141346249931826281369769431149264406102463174104432519431016611898766760841142058010350422413480197618924162792980484290292396012060123368455234578042275992211453319849495963884746443519069354765313294742629299546657183222410320452869554487062286084377940530352941394082629042680595864819119489130118616090418868967935512028659220512236649982711819101567363285395298070867553484996493267390722997566225449073755065801026545841230603993303374627571206336659300274091475300106818805928960577177690472583586336174247981492007931427362620302849670396811301375658270864730558725629098389067256096677161610467298036380066351166391929209902505425899466245693976737884626469205714775604567166935031755234701151061168772584930737007155305298721372265617782197397553523070538986609722002973128725106664787822117441718096515293300053552862600598241567581547285893260887543178796233458060075243924911738401312997246197475924742567835614254218646364089176628856410679185309973112819701709951937263742668598111287429037869448907401437830374340148204443433165300327328938333770648260601414620782331447739640865023991962335078935362876027776782076511212648654280997516267778436765830065587784158431570004845859767606744890785480575673650178230896299609737872832332960845422510690932011464307654742650633235760971160178348240268711494097051642189867125565238733658024263505116987797490899274859480993305197968181788139613936001679714106578006941000269634867775526948788452161633654518048259077721298419639833927664672846198397834220585937946288524234778979925721907124448038192474168836957561422046903286012541243408576401720639362141115691815325836810458834230976684635925061976432279232906371537775910881116939400984442529145640148541249857015552175134905604787088457331857419510867516390705911770890996401146408154395640914975528791858789514047751169966476687832822415634561887349259333027905577050391281544085076219374689199427554939275133305749421583965112738907402537390398061067311753715040550105157245987536051707444726168434122101153921444975470638121577530229341426565098768765336242471235739587253693847060451415151545087444393669175084136526129412805595059539577379047412304307921}
30829 3555641318836270680467136533987254582916457902921622561946982811119522976865646120499238: {30829,1078595,1294314,1540850,1571259,1849020,1972288,2125407,2218824,2496177,2803619,4005170,4096799,4744586,4806204,4892907,5205707,5852570,6617915,6777980,7023084,7331114,7941498,8133576,8809658,8834147,9150273,9382715,10303595,10411707,10473020,11259258,12077128,12364314,12527867,12567624,12613179,12620210,12705119,13586769,13712619,14138577,14902595,14908652,15144252,16174725,16221587,16960331,17202107,17253040,17883114,18150170,19255625,19409670,19492595,20248634,20637947,20703648,21195707,21384507,21633419,21780204,22424584,23106750,23291604,23391114,23434019,23590619,24647200,24659499,24988715,25227657,27471359,27728100,27731915,28926620,29014059,29111258,29558915,29576640,29986458,30032925,30350066,30424607,30972299,31548416,31889116,32035120,32419247,32566298,32804018,32812959,33008699,33273720,33278298,33477170,34711944,35470698,35491968,35551139,35577465,35869658,36039510,37115939,37432935,37949296,38353979,38395679,38442144,38712434,39050937,39092147,39922586,39928464,40172604,40953647,41124707,41399315,42354125,42692958,43247412,43511819,43608639,43882298,44919522,45102707,45555880,45757407,46008074,46313210,46843595,48456479,48578474,49040579,49159274,49618972,49679178,50465915,50579499,50667539,50824950,51250365,52532956,52827145,52951547,53022770,54213280,54667056,54850970,55424114,55433339,55514492,55575852,55830959,56212314,56259119,56283626,56604059,56892659,57531299,58019018,58505210,60093599,60163466,60397595,60497759,60559098,60989940,60998267,61500438,62419199,62614979,63392574,63627324,63979706,63998315,65049059,65055936,65725820,65796515,65821164,65906459,66496634,66538979,66845219,67630127,68916107,69388595,69397820,69595658,70057970,70206252,70647647,71292299,71799339,72477114,72735407,73140146,73187928,73635386,74101384,75047080,75288899,75467350,76327658,76797978,76848227,76957379,77954399,78706787,78870984,78955818,79502339,80370170,80405180,80652338,81002111,81059627,82102364,82187570,82336419,83266314,83277384,83364057,83970568,84069564,84427965,84886239,84928379,85406907,85426874,85745066,86367539,86372315,86425370,86711594,86801291,88689107,88729857,89171999,89449970,89774099,90056496,90560820,90820115,91304584,91399580,91689647,91691939,92109059,92596715,92835496,93687057,93810266,94251587,94466889,95002739,95493170,96112307,96408107,96444204,96486216,96598208,97031915,97224554,97230239,98353407,98625084,98868459,99242925,...,10542709402448432023109976224476238517980349908525855694243303961090817315585351888293427241835200514044021825175082411271573956989479088517694214465284491264373162599896644704023518122591152782336991505658680207632427993494009538926221366623246413340119221729402453750546537556547397554772683973162354153559828260267726132966990708163994457338235105722344516632021347690667526276180563773374882410386259673452759933401432912929221398015667269444739650108316999604667943817774201431129621382884974552048064128315136697566617620963663971443177900953988145741953503011185391742313963116375550484125038303631933044725837332715136985510443528216013072220532403502248497784607746344782445507816080756919241447697505870418566548589917503503244894003439921031346790243809423578631179122534111693092101170767660308440075932537218032043903496892692290206422920858250343239959196641357891061448651393757691157543274129744612101039670594443719256510635534850723906971540692486863145681833828732310776791607900906668013577697283701544575455143731535719731618346482631320209693714543324586029524925789583631477689580257129596435069358240915715666716668868837310119943332587308078915745106796876563657455730402509896758814306842296364730890942593354224073997394496993116115817958787524887336610620206962233257062868082876517388938648382436957154076512859708400669683972244139765730848986032309101386064197980195864503678127670475337369646593001096365039316700151550790636628305665464252590788382421408417473210589173455728111681276763949213965180039999281902246862752841846883635549144458848051658480534623257686510952153022488847635217959519365344592719238257591918973069007079491101593559789151500963857456366583478175583486514227278208176571749765234964563163910903325200726608482849429221422944418272485945658661358826253206076908007734517664355703354557224552999789004519353672974449380542709333171051150143444342592962292380158007890193336218048502911120419770053668006746132300894320102733420147315833820160589844859480369874670219405099572686945512235781208447067426536739183041131143980079430100291844372416177556213815721858650770100748312216459777750272004559564665802757363677004425793421991015722868062478030826822935005050628763608990467179191165574022883757900541848780028846695951881486174589249915764668312207716311080363600602072353371443638812432447282386126983252755225399236865714924546137856927568631199967252348251139499309044060480622984659252007965743005252860252318799104825883702763440509311133392895206040904702263295919275427488431695119043453576891640731860412698067897774757416528521789458748521175522152381560973251103549855827099074497256404990898471617447050996909438365381972903800073212285402110436023928201521794999909101708493025908199019208136617565472576692574688815865022347788189410680467229884640263491898883723973979053723194682746831157940312770723034656281937759799327951846328591358759139687084392990172399395542910963213760603826072649416381445837254040470588525443505390240794486425492652173491488120558491957247349371545627349648866643615758802089817713860397427823404646661991023187630663421633932098340087734702061121640805324404499503428275115545733698788633733475758407905280769570253963444781781565663975322677241903150160403799560529081735167544361152974078300838797852089674795569548813956397381840088468221855905613203340567865954994258635650512835292274286367472756222580042340312934868081558363446574316009540407064961829687490376263196738030760718648812962670630838300142219717096156588957462020391066738070483467464322090108729714524347850057571728311277413433658566548984535083996328263301232990090447485672291528485452235505141880905580413297483759602279935916351656891464148383238717159265209868583773832453530939257910887067103105251111694197680801886161043108596986187820031989283113438580483834703702376102014950198205707996688357037915687773420783712211242093339794479690142326521047307434231533570974528399479650497109777281127230014254576015285743539656867510981014628213571130987024948658796068856253156167420318311544032351340155983729987865699812641324406930624242384186151914668906285475437342588000359513157034035931717936215511539357397678770295064559519778570219563794931197112294114583928384698979705306567629209499264050923298891782610081896062537714683388324544768535627519149521487589087101115747278445641302246181233415968576372310541828717034547841489252534645923372194186864721666476020736233513207473049451276442476559347823355187607882361187995201528544205860854553300705055811719352063668226621968917110429887512749183132345777370540769400521708725446768292499585599236739919033511074332562111953483651876536716520530748089749004953387400140209661316714735609926301557912162801538561926633960850828770040305788568753465025020448323294980986116338258462747268553535393449925858225566778848701505883740793412719436505396549739077228}
30830 3566536223372597937683446309484850144099957828698927274123357239697652485227388950306621: {400621,677974,1170742,1725752,1941471,2061121,2095012,2245261,2311275,2465360,2773530,2833876,2893414,2958432,3164881,3328236,3899281,4367494,5547469,5912941,6007755,6095569,6206854,6408272,6523876,7116879,7209306,8042614,8281489,8463181,8472475,8531542,8778855,9264454,9364112,9551821,9630694,10166970,10240774,10276141,10534626,10567487,10588664,10844768,10972342,10996671,11703334,11912247,12068614,12200364,13091275,13214487,13341649,13882276,14059921,15012344,15096410,15349654,15709530,15850561,16440742,16485752,16561894,16756832,16817572,16888887,17277889,17455981,18115692,18283492,18345361,18546471,18635815,18700609,18851436,18930315,18981574,19410241,19621511,19941709,20189014,20192336,20550934,20826049,21566300,21876742,21884881,22061101,22237249,22362978,22716378,23080342,23844152,24162214,24402454,25879560,26443201,26681542,26824671,27225255,27604864,27998374,28030730,28512676,28877521,29040272,29114505,29552134,29743501,30372951,30809000,30864742,31055472,31188152,31579894,31814509,32670306,32879332,33205634,33636876,33721894,34434742,34660125,34937406,35086671,35502934,35584429,36158275,36436369,36946669,36970800,37280374,38108614,38473681,38685412,38699734,39054214,39435520,39762742,39861395,39981944,40043900,41592150,41649334,42014029,42517201,42708742,43296742,43389930,43521601,43666887,43750612,44364960,44371064,44471542,44979687,45189841,45525099,45527494,46187329,46230742,46282592,47016589,47294264,47322624,47347789,47436620,47833674,48052680,48339661,48504721,48849447,49206027,49328941,49493569,49910580,49917447,50215755,50321542,50971981,51256192,52067916,52766614,53206047,53237952,53563472,53804487,54059265,54276694,54508774,56342929,56594614,56923944,56944850,57311041,57472141,57663216,58068651,58115821,58144852,58328854,59136934,59883879,59892696,60174742,60258906,61009876,61476241,61901542,61953709,62023715,63065281,63624742,64015249,64039437,64331329,64656934,64838711,64871118,65120269,65435341,65666195,65823447,66238904,67379283,67439332,67766600,67789201,68333820,69012111,69193741,69393115,69469815,70367734,71366989,72073174,72139729,72754342,72867711,72889408,73474247,73738911,74101136,74428458,74454742,74518767,74600401,74949752,76128961,76237425,76264534,76433809,76603414,76738369,76829254,77194669,78295654,78559681,78799434,79315501,79534155,79891511,80671441,80745464,81231059,81319920,82000584,82157275,82276455,82342342,83136171,83271738,83363778,83910454,84022342,84318471,84407341,84425439,84523432,84581542,84836432,85149121,85445329,86741248,86747275,86925814,87028527,87371542,87757815,87761552,88918487,89707414,90245199,90838647,90873229,91260742,91484910,91889041,92250657,92612461,92626730,93363814,93608336,93808850,93916294,94053901,94159079,94578742,94689094,94771921,94915309,95020054,95088861,95440986,95571334,95732452,95969559,96636152,96772801,97057489,97341889,97583904,98588730,98731746,98870614,98980342,99744951,...,15814064103672648034664964336714357776970524862788783541364955941636225973378027832440140862752800771066032737762623616907360935484218632776541321697926736896559743899844967056035277183886729173505487258488020311448641990241014308389332049934869620010178832594103680625819806334821096332159025959743531230339742390401589199450486062245991686007352658583516774948032021536001289414270845660062323615579389510179139900102149369393832097023500904167109475162475499407001915726661302146694432074327461828072096192472705046349926431445495957164766851430982218612930254516778087613470944674563325726187557455447899567088755999072705478265665292324019608330798605253372746676911619517173668261724121135378862171546258805627849822884876255254867341005159881547020185365714135367946768683801167539638151756151490462660113898805827048065855245339038435309634381287375514859938794962036836592172977090636536736314911194616918151559505891665578884765953302276085860457311038730294718522750743098466165187411851360002020366545925552316863182715597303579597427519723946980314540571814986879044287388684375447216534370385694394652604037361373573500075003303255965179914998880962118373617660195314845486183595603764845138221460263444547096336413890031336110996091745489674173726938181287331004915930310443349885594302124314776083407972573655435731114769289562601004525958366209648596273479048463652079096296970293796755517191505713006054469889501644547558975050227326185954942458498196378886182573632112626209815883760183592167521915145923820947770059998922853370294129262770325453323716688272077487720801934886529766428229533733271452826939279048016889078857386387878459603510619236652390339683727251445786184549875217263375229771340917312264857624647852446844745866354987801089912724274143832134416627408728918487992038239379809115362011601776496533555031835836829499683506779030509461674070814063999756576725215166513889443438570237011835290004327072754366680629655080502010119198451341480154100130220973750730240884767289220554812005329107649359030418268353671812670601139805108774561696715970119145150437766558624266334320723582787976155151122468324689666625408006839346998704136045515506638690132986523584302093717046240234402507575943145413485700768786748361034325636850812773170043270043927822229261883874873647002468311574466620545400903108530057165458218648670923579190474879132838098855298572386819206785391352946799950878522376709248963566090720934476988878011948614507879290378478198657238825554145160763966700089342809061357053394943878913141232647542678565180365337461097790619047101846662136124792782684188122781763283228572341459876655324783740648611745884607486347707426170576495364157548072959355700109818428103165654035892302282692499863652562739538862298528812204926348208865038862033223797533521682284116020700844826960395237848325585960968580584792024120246736910469156084551984422906639698991927769492887038138709530626589485258599093314366444820640905739108974124572168755881060705882788165258085361191729638238978260237232180837737935871024057318441024473299965423638203134726570790596141735106969992986534781445995132450898147510131602053091682461207986606749255142412673318600548182950600213637611857921154355380945167172672348495962984015862854725240605699340793622602751316541729461117451258196778134512193354323220934596072760132702332783858419805010851798932491387953475769252938411429551209134333870063510469402302122337545169861474014310610597442744531235564394795107046141077973219444005946257450213329575644234883436193030586600107105725201196483135163094571786521775086357592466916120150487849823476802625994492394951849485135671228508437292728178353257712821358370619946225639403419903874527485337196222574858075738897814802875660748680296408886866330600654657876667541296521202829241564662895479281730047983924670157870725752055553564153022425297308561995032535556873531660131175568316863140009691719535213489781570961151347300356461792599219475745664665921690845021381864022928615309485301266471521942320356696480537422988194103284379734251130477467316048527010233975594981798549718961986610395936363576279227872003359428213156013882000539269735551053897576904323267309036096518155442596839279667855329345692396795668441171875892577048469557959851443814248896076384948337673915122844093806572025082486817152803441278724282231383630651673620917668461953369271850123952864558465812743075551821762233878801968885058291280297082499714031104350269811209574176914663714839021735032781411823541781992802292816308791281829951057583717579028095502339932953375665644831269123774698518666055811154100782563088170152438749378398855109878550266611498843167930225477814805074780796122134623507430081100210314491975072103414889452336868244202307842889950941276243155060458682853130197537530672484942471479174507387694120902830303090174888787338350168273052258825611190119079154758094824608615842}
30831 3577464319066339117647093887914974352072674006468628921982581188927306610843312094894630: {61658,1016961,1510033,1756113,2157190,2588628,2618765,3081700,3142518,3542345,3698040,3727889,3944576,4160295,4250814,4340121,4437648,4992354,5607238,5760161,6551241,8010340,8154845,8193598,9265081,9310281,9489172,9612408,9785814,10411414,10813959,11705140,12063921,12797313,13135801,13235830,13555960,13896681,14046168,14425033,14446041,14662228,14805661,15250455,15361161,15801939,15882996,15909641,16267152,16458513,17352845,17555001,17619316,17668294,18102921,18130009,18300546,18765430,20607190,20823414,20863633,20946040,21021965,21448781,22518516,22644615,22854365,23024481,23564295,24154256,24390301,24661113,24728628,24842841,25055734,25135248,25226358,25240420,25410238,25880093,26957875,27173538,27289633,27425238,28277154,28472361,29805190,29817304,30283521,30288504,30826401,32349450,32443174,32815113,33544467,33920662,34074567,34404214,34506080,34620513,34984201,35285161,35640845,35766228,36149201,36243321,36300340,36603681,38168801,38511250,38819340,38824681,38985190,40022313,40497268,40999081,41099165,41275894,41382481,41407296,41997561,42046095,42106333,42391414,42769014,43266838,43560408,44222849,44328201,44849168,46213500,46297113,46583208,46782228,46868038,47181238,47369841,48356765,49005459,49294400,49318998,49808451,49977430,50054875,50269769,50455314,50582841,51652113,52406109,52734221,53254401,54688265,54942718,55456200,55463830,55856033,55920561,57162921,57853240,57959041,58028118,58049601,58222516,58581321,59117830,59153280,59295775,59644113,59972916,60065850,60700132,60849214,61944598,62388225,62474001,62579101,63096832,63585913,63778232,64063113,64070240,64838494,64945113,65084895,65132596,65581033,65608036,65625918,66017398,66547440,66556596,66707313,66954340,68291241,69346113,69423888,69535201,70652281,70941396,70983936,71102278,71154930,71332361,71446733,71739316,71750511,72079020,72088861,72681065,73958003,74231878,74865870,75482313,75898592,76172233,76262345,76390721,76707958,76791358,76884288,77424868,78101874,78184294,79149921,79270253,79845172,79856928,80345208,80596921,81415041,81763161,81907294,82249414,82798630,84299165,84556633,84708250,84891921,85385916,85417275,86494824,87023638,87217278,87493281,87764596,87966409,88401401,88705401,89597641,89839044,90205414,90262113,90388359,91111760,91514814,92016148,92115121,92323921,92429801,92626420,92852313,93687190,94396049,94919953,95437113,95797741,96644321,96912958,96985401,97144033,97156948,97306677,98015521,98081158,98318548,99237944,99358356,...,23721096155508972051997446505071536665455787294183175312047433912454338960067041748660211294129201156599049106643935425361041403226327949164811982546890105344839615849767450584052915775830093760258230887732030467172962985361521462583998074902304430015268248891155520938729709502231644498238538939615296845509613585602383799175729093368987529011028987875275162422048032304001934121406268490093485423369084265268709850153224054090748145535251356250664212743713249110502873589991953220041648111491192742108144288709057569524889647168243935747150277146473327919395381775167131420206417011844988589281336183171849350633133998609058217398497938486029412496197907880059120015367429275760502392586181703068293257319388208441774734327314382882301011507739822320530278048571203051920153025701751309457227634227235693990170848208740572098782868008557652964451571931063272289908192443055254888259465635954805104472366791925377227339258837498368327148929953414128790685966558095442077784126114647699247781117777040003030549818888328475294774073395955369396141279585920470471810857722480318566431083026563170824801555578541591978906056042060360250112504954883947769872498321443177560426490292972268229275393405647267707332190395166820644504620835047004166494137618234511260590407271930996507373895465665024828391453186472164125111958860483153596672153934343901506788937549314472894410218572695478118644445455440695133275787258569509081704834252466821338462575340989278932413687747294568329273860448168939314723825640275388251282872718885731421655089998384280055441193894155488179985575032408116231581202902329794649642344300599907179240408918572025333618286079581817689405265928854978585509525590877168679276824812825895062844657011375968397286436971778670267118799532481701634869086411215748201624941113093377731988057359069713673043017402664744800332547753755244249525260168545764192511106221095999634865087822749770834165157855355517752935006490609131550020944482620753015178797677012220231150195331460626095361327150933830832218007993661474038545627402530507719005901709707663161842545073955178717725656649837936399501481085374181964232726683702487034499938112010259020498056204068273259958035199479785376453140575569360351603761363914718120228551153180122541551488455276219159755064905065891733343892825812310470503702467361699930818101354662795085748187327973006385368785712318699257148282947858580228810178087029420199926317783565063873445349136081401715483317017922921761818935567717297985858238331217741145950050134014213592035580092415818369711848971314017847770548006191646685928570652769993204187189174026282184172644924842858512189814982987175610972917618826911229521561139255864743046236322109439033550164727642154748481053838453424038749795478844109308293447793218307389522313297558293049835696300282523426174031051267240440592856772488378941452870877188036180370105365703734126827976634359959548487891654239330557208064295939884227887898639971549667230961358608663461186858253133821591058824182247887128041787594457358467390355848271256606903806536085977661536709949948135457304702089856185894212602660454989479802172168992698676347221265197403079637523691811979910123882713619009977900822274425900320456417786881731533071417750759008522743944476023794282087860908549011190433904126974812594191676176887295167201768290031484831401894109140199053499175787629707516277698398737081930213653879407617144326813701500805095265704103453183506317754792211021465915896164116796853346592192660569211616959829166008919386175319994363466352325154289545879900160658587801794724702744641857679782662629536388700374180225731774735215203938991738592427774227703506842762655939092267529886569232037555929919338459105129855811791228005794333862287113608346722204313491123020444613330299495900981986815001311944781804243862346994343218922595071975887005236806088628083330346229533637945962842992548803335310297490196763352475294710014537579302820234672356441727020950534692688898829213618496998882536267532072796034392922964227951899707282913480535044720806134482291154926569601376695716200974072790515350963392472697824578442979915593904545364418841808005039142319734020823000808904603326580846365356484900963554144777233163895258919501782994018538595193502661757813838865572704336939777165721373344114577422506510872684266140709858037623730225729205161918086423347075445977510431376502692930053907775185929296837698719114613327732643350818202953327587436920445623749571046656525404716814361265371995572258532602549172117735312672989203439224463186922744926586375576368542143253509899430063498467246903685662047777999083716731151173844632255228658124067598282664817825399917248264751895338216722207612171194183201935261145121650315471737962608155122334178505302366303461764334926411914364732590688024279695296306296008727413707218761761081541181354245454635262333181007525252409578388238416785178618732137142236912923763}
30832 3588425706451468169852865602339168617857587698326715619572742637739851318316222697135528: {92487,708607,801242,893287,1355948,1815607,2341484,3235785,3451504,3852125,3882942,4122242,4190024,4490522,4622550,4713777,4930720,5547060,5667752,5786828,5916864,6329762,6376221,6656472,7311727,7488531,7798562,8410857,8734988,8947927,10012925,11094938,11661967,11825882,11861465,12015510,12191138,12202831,12290397,12413708,12816544,13047752,13462327,14233758,14418612,14631425,14678721,14897431,15434407,15617121,16085228,16562978,16926362,16944950,17041447,17063084,17557710,18327785,18528908,18728224,19103642,19261388,19853745,20333940,20481548,20552282,21069252,21134974,21177328,21651247,21689536,21944684,21993342,22024145,22356127,22884031,23235607,23406668,23824494,24137228,24400728,24639031,26090141,26182550,26428974,26502441,26683298,27258031,27450819,27764552,28119842,28148145,28474687,30024688,30192820,30206647,30699308,30910785,31235121,31419060,31550525,31701122,32447431,32881484,32962807,32971504,33123788,33513664,33635144,33777774,34505047,34555778,34911962,36231384,36566984,36690722,37092942,37232407,37271630,37401218,37583601,37702872,37839537,37860630,37963148,38115357,38419831,38820482,39243022,39883418,40378028,40384672,40760307,41101868,41137857,41457007,41652098,42128767,42415731,43132600,43753484,43769762,43803127,43970167,44122202,44474498,44707785,44725956,45375425,45432756,46160684,46798831,47688304,48324428,48524175,48664761,48804908,49771207,50621585,50880993,51606321,51759120,52557031,52883407,52886402,53363084,53649342,54186031,54450510,55209728,55805953,55807831,55996748,56061460,56938807,57025352,57755042,57766875,58080544,58229010,58477785,58708927,59104268,59487002,59830831,60745902,61108687,61618000,61729484,61913841,62110944,62376304,63159788,63333847,63587121,63629018,64153521,64900257,64914607,65340612,65758664,66411268,66488167,66645127,67273752,67443788,68054527,68210767,68835007,68869484,69320250,69874812,70173342,70302057,70771857,71005868,71168858,71938927,72093367,72316550,72778145,72872738,73893338,73941031,73941600,73978497,74560748,74966145,75682971,75875165,76217228,76947362,77370824,77399468,78108428,78514831,78871040,79525484,79722790,79963888,80087800,80476687,81415745,81977527,82010045,82414077,83184300,83195745,83298668,83692925,84028058,84066607,84512431,85034402,85417484,85550167,85698127,86593484,86779860,86833201,87042177,87043202,87333774,87501224,88676745,88729920,88742128,88935031,88943084,89665831,89674145,89959374,90098775,90379682,91050198,91054988,91273821,91412407,91932673,92374658,92461484,92565184,92916897,94033178,94588528,94645248,94695578,94873240,95667348,96105360,96447367,96679322,96781085,97009442,97150361,97257741,97698894,97869727,98412054,98438877,98657882,98987138,99026097,99806465,99821160,99834894,...,31628128207345296069329928673428715553941049725577567082729911883272451946756055664880281725505601542132065475525247233814721870968437265553082643395853473793119487799689934112070554367773458347010974516976040622897283980482028616778664099869739240020357665188207361251639612669642192664318051919487062460679484780803178398900972124491983372014705317167033549896064043072002578828541691320124647231158779020358279800204298738787664194047001808334218950324950998814003831453322604293388864148654923656144192384945410092699852862890991914329533702861964437225860509033556175226941889349126651452375114910895799134177511998145410956531330584648039216661597210506745493353823239034347336523448242270757724343092517611255699645769752510509734682010319763094040370731428270735893537367602335079276303512302980925320227797611654096131710490678076870619268762574751029719877589924073673184345954181273073472629822389233836303119011783331157769531906604552171720914622077460589437045501486196932330374823702720004040733091851104633726365431194607159194855039447893960629081143629973758088574777368750894433068740771388789305208074722747147000150006606511930359829997761924236747235320390629690972367191207529690276442920526889094192672827780062672221992183490979348347453876362574662009831860620886699771188604248629552166815945147310871462229538579125202009051916732419297192546958096927304158192593940587593511034383011426012108939779003289095117950100454652371909884916996392757772365147264225252419631767520367184335043830291847641895540119997845706740588258525540650906647433376544154975441603869773059532856459067466542905653878558096033778157714772775756919207021238473304780679367454502891572369099750434526750459542681834624529715249295704893689491732709975602179825448548287664268833254817457836975984076478759618230724023203552993067110063671673658999367013558061018923348141628127999513153450430333027778886877140474023670580008654145508733361259310161004020238396902682960308200260441947501460481769534578441109624010658215298718060836536707343625341202279610217549123393431940238290300875533117248532668641447165575952310302244936649379333250816013678693997408272091031013277380265973047168604187434092480468805015151886290826971401537573496722068651273701625546340086540087855644458523767749747294004936623148933241090801806217060114330916437297341847158380949758265676197710597144773638413570782705893599901757044753418497927132181441868953977756023897229015758580756956397314477651108290321527933400178685618122714106789887757826282465295085357130360730674922195581238094203693324272249585565368376245563526566457144682919753310649567481297223491769214972695414852341152990728315096145918711400219636856206331308071784604565384999727305125479077724597057624409852696417730077724066447595067043364568232041401689653920790475696651171921937161169584048240493473820938312169103968845813279397983855538985774076277419061253178970517198186628732889641281811478217948249144337511762121411765576330516170722383459276477956520474464361675475871742048114636882048946599930847276406269453141581192283470213939985973069562891990264901796295020263204106183364922415973213498510284825346637201096365901200427275223715842308710761890334345344696991925968031725709450481211398681587245205502633083458922234902516393556269024386708646441869192145520265404665567716839610021703597864982775906951538505876822859102418268667740127020938804604244675090339722948028621221194885489062471128789590214092282155946438888011892514900426659151288469766872386061173200214211450402392966270326189143573043550172715184933832240300975699646953605251988984789903698970271342457016874585456356706515425642716741239892451278806839807749054970674392445149716151477795629605751321497360592817773732661201309315753335082593042405658483129325790958563460095967849340315741451504111107128306044850594617123990065071113747063320262351136633726280019383439070426979563141922302694600712923585198438951491329331843381690042763728045857230618970602532943043884640713392961074845976388206568759468502260954934632097054020467951189963597099437923973220791872727152558455744006718856426312027764001078539471102107795153808646534618072193036310885193678559335710658691384793591336882343751785154096939115919702887628497792152769896675347830245688187613144050164973634305606882557448564462767261303347241835336923906738543700247905729116931625486151103643524467757603937770116582560594164999428062208700539622419148353829327429678043470065562823647083563985604585632617582563659902115167435158056191004679865906751331289662538247549397037332111622308201565126176340304877498756797710219757100533222997686335860450955629610149561592244269247014860162200420628983950144206829778904673736488404615685779901882552486310120917365706260395075061344969884942958349014775388241805660606180349777574676700336546104517651222380238158309516189649217231684}
30833 3599420486364715113661289211013838505115361008304219378228062020760801881960049595271643: {123316,1201863,1694935,2033922,2926855,3020066,3512226,3666271,4314380,4405687,4959283,5177256,5237530,5824413,6163400,6183363,6285036,6437827,6735783,6807463,6933825,7084690,7233535,7396080,7455778,7889152,8320590,8501628,8680242,8875296,9494643,9984708,10918735,11214476,11416783,11520322,11697843,13102482,13882231,15517135,16020680,16309690,16387196,16642407,17738823,18023265,18286707,18530162,18620562,18802303,18978344,19224816,19571628,19965187,20106535,20530927,20822828,21328855,21350637,21627918,22495063,23161135,23410280,23972167,24076735,24127842,24293983,24844467,25389543,25417425,25594626,25601935,26187823,26271602,26336565,26471660,27111920,27430855,27664927,27717463,27793362,28092336,28655463,28850066,28892082,29258335,29324456,29430751,29611322,30171535,30500910,30722322,30828423,30849271,31603878,31702461,31765992,31819282,31996111,32534304,32917026,32990013,33254803,34705690,35110002,35238632,35336588,35736741,36205842,36260018,36577207,36601092,36824887,37492783,37530860,37741025,38374135,39273825,39643461,40024947,41101855,41214380,41404735,41646828,41727266,41892080,41921791,42043930,42179763,42721783,42897562,45037032,45108583,45289230,45708730,46048962,46489951,47128590,47453935,47551683,48308512,48780602,49322226,49457256,49685682,49897183,50111468,50270496,50452716,50472535,50480840,50666661,50820476,50944531,51377335,51760186,51833667,52263367,52367943,53778463,53915750,54347076,54579266,54691855,54850476,55036083,55639413,55907445,56101827,56554308,56790945,56900071,56944722,57538831,57700855,58230723,58325047,58657843,58864533,58938247,58980463,59409727,59610380,59634608,59825127,60336067,60405535,60567042,60577008,61006135,61652802,62427331,62478147,64355731,64698900,64886348,65630226,65654643,66183303,66257551,66703855,66711747,67088934,67699471,67841324,68149134,68520703,68808428,69012160,69241026,69968402,69995935,70076825,70570322,71281690,71532456,72298402,72486642,72489751,72600680,72744883,73207362,73880335,75560083,76337602,76563571,77022500,77063767,77161855,77638680,77649362,77970380,78949735,79329603,79781503,79852231,80044626,80474013,80994536,81675765,81998162,82198330,82551788,82764962,82814592,83014085,83995122,84092190,84212666,84304735,84737167,84782828,85205971,85538028,86086855,86312143,86378791,86533676,86632563,87012511,87120816,87343515,88407187,88445698,88656402,88757335,89230503,89698336,89929087,90121063,90279943,90406327,91118853,92427000,92594226,93166416,93200935,93228391,93564456,93736076,94319623,94362476,94739682,95067907,95252791,95271535,95443527,96713530,96749335,97635535,98010918,98055187,98394967,98588800,98637996,99406855,99479407,99616902,99954860,...,47442192311017944103994893010143073330911574588366350624094867824908677920134083497320422588258402313198098213287870850722082806452655898329623965093780210689679231699534901168105831551660187520516461775464060934345925970723042925167996149804608860030536497782311041877459419004463288996477077879230593691019227171204767598351458186737975058022057975750550324844096064608003868242812536980186970846738168530537419700306448108181496291070502712501328425487426498221005747179983906440083296222982385484216288577418115139049779294336487871494300554292946655838790763550334262840412834023689977178562672366343698701266267997218116434796995876972058824992395815760118240030734858551521004785172363406136586514638776416883549468654628765764602023015479644641060556097142406103840306051403502618914455268454471387980341696417481144197565736017115305928903143862126544579816384886110509776518931271909610208944733583850754454678517674996736654297859906828257581371933116190884155568252229295398495562235554080006061099637776656950589548146791910738792282559171840940943621715444960637132862166053126341649603111157083183957812112084120720500225009909767895539744996642886355120852980585944536458550786811294535414664380790333641289009241670094008332988275236469022521180814543861993014747790931330049656782906372944328250223917720966307193344307868687803013577875098628945788820437145390956237288890910881390266551574517139018163409668504933642676925150681978557864827375494589136658547720896337878629447651280550776502565745437771462843310179996768560110882387788310976359971150064816232463162405804659589299284688601199814358480817837144050667236572159163635378810531857709957171019051181754337358553649625651790125689314022751936794572873943557340534237599064963403269738172822431496403249882226186755463976114718139427346086034805329489600665095507510488499050520337091528385022212442191999269730175645499541668330315710711035505870012981218263100041888965241506030357595354024440462300390662921252190722654301867661664436015987322948077091254805061015438011803419415326323685090147910357435451313299675872799002962170748363928465453367404974068999876224020518040996112408136546519916070398959570752906281151138720703207522727829436240457102306360245083102976910552438319510129810131783466687785651624620941007404934723399861636202709325590171496374655946012770737571424637398514296565895717160457620356174058840399852635567130127746890698272162803430966634035845843523637871135434595971716476662435482291900100268028427184071160184831636739423697942628035695541096012383293371857141305539986408374378348052564368345289849685717024379629965974351221945835237653822459043122278511729486092472644218878067100329455284309496962107676906848077499590957688218616586895586436614779044626595116586099671392600565046852348062102534480881185713544976757882905741754376072360740210731407468253655953268719919096975783308478661114416128591879768455775797279943099334461922717217326922373716506267643182117648364495774256083575188914716934780711696542513213807613072171955323073419899896270914609404179712371788425205320909978959604344337985397352694442530394806159275047383623959820247765427238019955801644548851800640912835573763463066142835501518017045487888952047588564175721817098022380867808253949625188383352353774590334403536580062969662803788218280398106998351575259415032555396797474163860427307758815234288653627403001610190531408206906367012635509584422042931831792328233593706693184385321138423233919658332017838772350639988726932704650308579091759800321317175603589449405489283715359565325259072777400748360451463549470430407877983477184855548455407013685525311878184535059773138464075111859838676918210259711623582456011588667724574227216693444408626982246040889226660598991801963973630002623889563608487724693988686437845190143951774010473612177256166660692459067275891925685985097606670620594980393526704950589420029075158605640469344712883454041901069385377797658427236993997765072535064145592068785845928455903799414565826961070089441612268964582309853139202753391432401948145581030701926784945395649156885959831187809090728837683616010078284639468041646001617809206653161692730712969801927108289554466327790517839003565988037077190387005323515627677731145408673879554331442746688229154845013021745368532281419716075247460451458410323836172846694150891955020862753005385860107815550371858593675397438229226655465286701636405906655174873840891247499142093313050809433628722530743991144517065205098344235470625345978406878448926373845489853172751152737084286507019798860126996934493807371324095555998167433462302347689264510457316248135196565329635650799834496529503790676433444415224342388366403870522290243300630943475925216310244668357010604732606923528669852823828729465181376048559390592612592017454827414437523522163082362708490909270524666362015050504819156776476833570357237464274284473825847526}
30834 3610448759946472523179526415351577712998148577239467753511073977225246016467694466895456: {154145,184974,523889,954893,1417214,1602484,1631393,1786574,1877153,2184173,2711896,3050883,3287789,3631214,3899789,4022093,4205489,4530099,4682968,4816289,4999373,5268339,5304353,5392975,5852813,6035489,6471570,6903008,7372913,7704250,7765884,7856295,7858289,8244484,8380048,8464289,8585393,8981044,9245100,9427554,9673889,9861440,10277489,10627035,11094120,11181389,11183667,11335504,11573656,11833728,12480885,12659524,12752442,13020363,13103693,13312944,13463213,14018095,14181389,14623454,14778989,14977062,15597124,15793073,16388513,16606051,16821714,17042573,17280483,17469976,17895854,17932913,19058093,19530989,19653723,19708193,20025850,20298353,20483995,21123233,22189876,22357613,23323934,23646989,23651764,23722930,24031020,24382276,24405662,24464535,24580794,24640673,24699053,24827416,25633088,25658899,26028535,26095504,26562989,26924654,27143789,27795243,27930843,28467516,28476593,28837224,28881389,28996973,29262850,29343533,29357442,29747489,29794862,30726893,30833803,30868814,31234242,32170456,32441877,32506913,33089575,33125956,33193889,33852724,33889900,34082894,34126168,34165133,34507373,34735373,35115420,35361713,35589233,36191763,36214253,36655570,37057816,37456448,38207284,38309489,38391939,38478893,38522776,38591789,39407403,39707490,40112753,40667880,40674593,40963096,41104564,41690043,41851853,42131633,42138504,42269948,42354656,42522989,42634733,43192973,43275099,43302494,43338123,43379072,43638989,43889368,43986684,44048290,44170735,44416983,44640653,44712254,44862893,45751365,45768062,46083483,46304333,46471214,46813336,46913575,47133473,47405817,47519789,47648988,47728923,48274456,48621389,48801456,49278062,49375539,49445489,50432033,51517975,52058535,52180282,52288433,52365100,52560653,52665003,52857948,53004882,53366596,54243953,54308763,54390027,54516062,54901638,55001633,55163789,55325873,55529104,55865633,56239684,56296290,56949374,57587489,58123889,58391789,59354573,59834993,59888333,60049376,60385640,60413294,60634253,61166093,61325489,61398616,61821570,62470242,62590899,62639335,62838120,63065895,63074093,63101050,63179789,63338273,63402244,63525595,63971489,64129613,64346343,64894862,65286989,65444513,65549489,65762968,65925614,65943008,66247576,66702113,67027328,67120289,67270288,67485773,67555548,67933845,68563095,68839853,69010094,69073443,69111556,69307313,69462989,69823924,70692885,70870219,72149933,72304289,72462768,73133968,73170903,73381444,73983339,74185884,74253233,74464814,74512975,74528523,74543260,74802436,75167202,75223373,75405744,75529133,75679074,75721260,75926296,76230714,76241453,76839662,77306993,77640279,77640964,77914289,78486044,78570893,79326833,79427489,79766836,79779533,80682989,80756056,80769344,80873625,81107935,81433889,81520614,81868899,82203736,82275714,82914014,83304196,83775053,84257534,84518513,84801655,84831462,85013153,85161389,85417083,85556333,86010535,86265200,86885489,87506968,87539524,87606254,87940334,87964193,88110989,88244404,88502093,88843889,88948996,89415570,89451912,89672333,89720993,90750850,90850563,90865512,91031789,91998989,92321368,92479203,93443789,93597662,94881389,95376608,96278125,96648856,97024289,97048350,97329522,97462975,97592993,97609816,97876913,98445339,98585453,98915489,99056813,99542414,...,71163288466526916155992339515214609996367361882549525936142301737363016880201125245980633882387603469797147319931806276083124209678983847494435947640670316034518847549302351752158747327490281280774692663196091401518888956084564387751994224706913290045804746673466562816189128506694933494715616818845890536528840756807151397527187280106962587033086963625825487266144096912005802364218805470280456270107252795806129550459672162272244436605754068751992638231139747331508620769975859660124944334473578226324432866127172708574668941504731807241450831439419983758186145325501394260619251035534965767844008549515548051899401995827174652195493815458088237488593723640177360046102287827281507177758545109204879771958164625325324202981943148646903034523219466961590834145713609155760459077105253928371682902681707081970512544626221716296348604025672958893354715793189816869724577329165764664778396907864415313417100375776131682017776512495104981446789860242386372057899674286326233352378343943097743343353331120009091649456664985425884322220187866108188423838757761411415432573167440955699293249079689512474404666735624775936718168126181080750337514864651843309617494964329532681279470878916804687826180216941803121996571185500461933513862505141012499482412854703533781771221815792989522121686396995074485174359559416492375335876581449460790016461803031704520366812647943418683230655718086434355933336366322085399827361775708527245114502757400464015387726022967836797241063241883704987821581344506817944171476920826164753848618156657194264965269995152840166323581682466464539956725097224348694743608706989383948927032901799721537721226755716076000854858238745453068215797786564935756528576772631506037830474438477685188533971034127905191859310915336010801356398597445104904607259233647244604874823339280133195964172077209141019129052207994234400997643261265732748575780505637292577533318663287998904595263468249312502495473566066553258805019471827394650062833447862259045536393031036660693450585994381878286083981452801492496654023980984422115636882207591523157017705129122989485527635221865536153176969949513809198504443256122545892698180051107461103499814336030777061494168612204819779874105598439356129359421726708081054811284091744154360685653459540367624654465365828657479265194715197675200031678477436931411511107402085099792454304063988385257244561983919019156106357136956097771444848843575740686430534261088260599778953350695191620336047408244205146449951053768765285456806703151893957574714993653223437850150402042640776106740277247455109135546913942053543311644018574940057785711958309979612561567522078846552517934774528575536569444948961526832918752856480733688564683417767594229138708966328317100650494182926464245443161515360272116249386436532327924880343379654922168566939892674879149507088900847570278522093153801721321778570317465136824358612631564108541110316097111202380483929903079878645463674962717991671624192887819652683663695919914649001692884075825990383560574759401464773176472546743661384125362783372075402171067544813769820711419608257932984610129849844406371914106269568557682637807981364968439406516506978096029041663795592209238912571075435939730371648140857029933702466823277700961369253360645194599214253252277025568231833428071382846263582725647033571301712380924437782575028530661885501605304870094454494205682327420597160497527362889122548833095196211245790640961638222851432980441104502415285797112310359550518953264376633064397747688492350390560039776577981707634850879487498026758158525959983090399056975462868637639700481975763405384174108233925573039347987888609166101122540677195324205645611816975215777283322683110520528287967817276802589659707696112667789758015377315389567435373684017383001586861340825040166612940473369061333839990898487702945960445003935834345412731587040983029656767785215927661015710418265884249991038688600913837888528977646410005930892470590290057425884130043612737908460704017069325181062851604078066696487640855490996647608802596218388103178768892683855699121848740441605134162418403446873464779708804130087148602922218371546052890177418093473735328939746781713636093256525424015117426959202062469002426713809979742539096069454702890662434331699491685776758505348982055615785580507985273441516596718113010819331497164120032343732267519532618052798422129574112871190677187615485754259270041226337932531294129508078790161723325557787890513096157343839983197930052454608859982762310761336871248713139969576214150443083796115986716775597807647516353205938018967610317673389560768234779759126729105626429760529698290190495401740711056986143333997251150193453521533896765685974372202794847994453476199751744794255686014650166622836513582549605805783435364950946415213887824465367002535515907098910385293004779235743094197772064072839085888918888026182241121656285283244623544062736363905786999543022575757228735164715250355535856196411426710738771289}
30835 3621510628641704710591043165938485312371547318607945957681465843783693792078580967936336: {246632,277461,2003105,2125821,2372909,2403726,2679861,3389870,4067844,4097597,5206721,5446821,5853710,6040132,7024452,7332542,7608341,8628760,8811374,9707355,9918566,10126949,10305605,10354512,10475060,11226305,11556375,11648826,12326800,12366726,12570072,12875654,13471566,13614926,13867650,14141331,14169380,14467070,14559413,14792160,14911556,15286229,15778304,15824405,16406273,16641180,17003256,17360484,17750592,18989286,19128663,19361249,19496405,19969416,20641973,21723989,21837470,21935181,21946853,22428952,22465593,22667909,22833566,23040644,23395686,23595221,25141541,25232571,26204964,26843781,27737345,27764462,28149149,29564705,29572853,29860397,30038775,30477845,30978341,31034270,31895009,32041360,32425589,32619380,32774392,32785709,33284814,33707429,34478597,34985901,35477646,35584395,35842709,36046530,36573414,36608493,36871191,37060324,37241124,37604606,37956688,38361461,38403197,38449632,39099773,39143256,39930374,40213070,40386981,40961669,41061854,41407445,41645656,42240149,42315905,42362375,42657710,42701274,42883709,43255836,43520321,43894275,44036163,44692293,44812949,44990126,46303221,46322270,46658369,46820560,46851363,47759105,47944334,48153470,48255684,48587966,49688934,50779086,50834850,51124341,51189252,51203870,51380705,51959357,52375646,52543204,52673130,52837435,52943320,53723789,54223840,54861710,54975173,54983355,55329854,55434926,55586724,56184672,57310926,57542597,57700132,57784164,57966629,58516670,58648912,58861502,59222644,59561235,60105341,60207173,60343070,61001820,61010213,61444644,61656846,61698542,63207756,63404922,63531984,63594197,63638564,63992222,64953741,65029613,65068608,65456375,65834052,65919341,65980026,66072435,66435509,66509606,66708245,67068381,68652093,68929601,69411380,69706821,70220004,70299605,70395557,70477264,70661549,70673176,71306261,71473482,71928269,72411684,72520036,73154414,73202184,73649774,73917093,74052557,74985566,75061720,75482050,76056773,76568597,76748270,76972421,78270423,78547650,79252805,79286922,79507323,80049894,80719829,80781197,81017957,81774093,81834209,82203710,82352457,82428760,82809470,83293656,83454532,83784160,83843582,84087860,84359526,84407069,84444435,84567749,85408589,85424061,85443566,85795124,86389445,87279905,88094309,90074064,90217166,90578460,90619941,91075361,91078493,91417460,91709861,91726805,92097924,92335949,92732355,92979902,93179075,93385397,93503045,93705363,94257180,94270049,94651575,94907870,95103366,96131093,96617024,97033217,97051205,97249277,97342293,97561204,97994309,98107555,98644452,98888421,98914512,99371364,99708545,99794366,...,94884384622035888207989786020286146661823149176732701248189735649817355840268166994640845176516804626396196426575741701444165612905311796659247930187560421379358463399069802336211663103320375041032923550928121868691851941446085850335992299609217720061072995564622083754918838008926577992954155758461187382038454342409535196702916373475950116044115951501100649688192129216007736485625073960373941693476337061074839400612896216362992582141005425002656850974852996442011494359967812880166592445964770968432577154836230278099558588672975742988601108585893311677581527100668525680825668047379954357125344732687397402532535994436232869593991753944117649984791631520236480061469717103042009570344726812273173029277552833767098937309257531529204046030959289282121112194284812207680612102807005237828910536908942775960683392834962288395131472034230611857806287724253089159632769772221019553037862543819220417889467167701508909357035349993473308595719813656515162743866232381768311136504458590796991124471108160012122199275553313901179096293583821477584565118343681881887243430889921274265724332106252683299206222314166367915624224168241441000450019819535791079489993285772710241705961171889072917101573622589070829328761580667282578018483340188016665976550472938045042361629087723986029495581862660099313565812745888656500447835441932614386688615737375606027155750197257891577640874290781912474577781821762780533103149034278036326819337009867285353850301363957115729654750989178273317095441792675757258895302561101553005131490875542925686620359993537120221764775576621952719942300129632464926324811609319178598569377202399628716961635674288101334473144318327270757621063715419914342038102363508674717107299251303580251378628045503873589145747887114681068475198129926806539476345644862992806499764452373510927952229436278854692172069610658979201330191015020976998101040674183056770044424884383998539460351290999083336660631421422071011740025962436526200083777930483012060715190708048880924600781325842504381445308603735323328872031974645896154182509610122030876023606838830652647370180295820714870902626599351745598005924341496727856930906734809948137999752448041036081992224816273093039832140797919141505812562302277441406415045455658872480914204612720490166205953821104876639020259620263566933375571303249241882014809869446799723272405418651180342992749311892025541475142849274797028593131791434320915240712348117680799705271134260255493781396544325606861933268071691687047275742270869191943432953324870964583800200536056854368142320369663273478847395885256071391082192024766586743714282611079972816748756696105128736690579699371434048759259931948702443891670475307644918086244557023458972184945288437756134200658910568618993924215353813696154999181915376437233173791172873229558089253190233172199342785201130093704696124205068961762371427089953515765811483508752144721480421462814936507311906537439838193951566616957322228832257183759536911551594559886198668923845434434653844747433012535286364235296728991548512167150377829433869561423393085026427615226144343910646146839799792541829218808359424743576850410641819957919208688675970794705388885060789612318550094767247919640495530854476039911603289097703601281825671147526926132285671003036034090975777904095177128351443634196044761735616507899250376766704707549180668807073160125939325607576436560796213996703150518830065110793594948327720854615517630468577307254806003220381062816413812734025271019168844085863663584656467187413386368770642276846467839316664035677544701279977453865409300617158183519600642634351207178898810978567430719130650518145554801496720902927098940860815755966954369711096910814027371050623756369070119546276928150223719677353836420519423247164912023177335449148454433386888817253964492081778453321197983603927947260005247779127216975449387977372875690380287903548020947224354512333321384918134551783851371970195213341241189960787053409901178840058150317211280938689425766908083802138770755595316854473987995530145070128291184137571691856911807598829131653922140178883224537929164619706278405506782864803896291162061403853569890791298313771919662375618181457675367232020156569278936083292003235618413306323385461425939603854216579108932655581035678007131976074154380774010647031255355462290817347759108662885493376458309690026043490737064562839432150494920902916820647672345693388301783910041725506010771720215631100743717187350794876458453310930573403272811813310349747681782494998284186626101618867257445061487982289034130410196688470941250691956813756897852747690979706345502305474168573014039597720253993868987614742648191111996334866924604695378529020914632496270393130659271301599668993059007581352866888830448684776732807741044580486601261886951850432620489336714021209465213847057339705647657458930362752097118781185225184034909654828875047044326164725416981818541049332724030101009638313552953667140714474928548568947651695052}
30836 3632606194200859615920474730588793284738806609916955608133115418840527087003651155861369: {215803,308290,369948,585523,1047778,1909786,2245699,2429803,2834428,3204968,3262786,3349243,3573148,3605589,3754306,4266883,4368346,5084805,5423792,5914099,6096763,6101766,6575578,7262428,7550165,7799578,8044186,8410978,8464843,8646499,8780565,9060198,9365936,9372403,9632578,9998746,10536678,10608706,10785950,10998813,11182123,11705626,12070978,12444643,12943140,13093825,13164499,13217061,13806016,14745826,14877849,15408500,15531768,15712590,15716578,15853699,16488968,16760096,16928578,17170786,17459443,17473239,17711725,17962088,18490200,18526699,18550089,18639445,18855108,19313481,19347778,19625333,19722880,20207349,20422389,20554978,20801475,21254070,21700605,21889243,22065499,22188240,22241683,22362778,22367334,22671008,23147312,23667456,24700699,24961770,25319048,25504884,25575499,26040726,26207386,26274043,26625888,26926426,27493723,28036190,28362778,28483929,28677593,28800805,29246908,29557978,29954124,30786499,31194248,31586146,32756205,32777026,33212102,33643428,34085146,34224499,34250349,34560966,34939952,35093529,35791708,35865826,36439949,36613963,36954163,38116186,39061978,39307446,39416386,40051700,40596706,40774225,40967990,40998793,41182363,41646693,42246466,42525883,42693499,43697683,44379752,44715226,45365563,45864523,46325405,46551405,46647868,47293978,47303528,47445860,47523043,48062040,48349603,48514699,48679723,48764552,48811324,48929070,49161588,49281346,49398106,49503763,49654832,49927221,51146443,51266176,51317798,51637843,52057070,52191008,53125978,53216469,53849308,54069795,54287578,54860121,55590486,55861686,56406909,56935032,56953186,57484099,57645163,57674448,57762778,57993946,58449403,58525700,58687066,58714884,59494978,59589724,59892499,59895561,60319605,60691699,61453786,61592781,61667606,61737628,61839029,62443603,62468484,63986565,64028683,64051911,64340912,64883754,65013826,65291563,65679005,66179150,66251912,66387778,67485189,67705448,67779800,67959883,68165788,68252336,68330266,69014746,69470746,69483405,70230840,70723426,71178466,71846083,71916501,72125165,72230205,72309403,72383526,72428506,72881949,73311140,73849123,74028305,74115632,74533401,74912896,76168629,76252275,76297699,76414568,76618978,76783878,76805805,76957786,77045552,77183578,77211163,77666923,78563469,78814806,79009695,79414980,79548205,80225506,81335760,81349186,81439723,81926192,82209128,82292565,82338499,82994781,83152389,83380086,83703706,83979523,84263266,84277008,84425563,84539896,84709312,85045978,85269466,85966389,86385946,86550198,86604988,86676246,86758144,86764225,87277978,87529699,87695069,87775005,87778736,87973368,88096580,88292253,88341470,88833966,88935833,89281306,89424508,89725786,89727499,90514605,90650045,91038403,91502730,91536124,92166966,92485269,92547813,92608666,92942428,93626672,93827150,94266946,94811634,94936123,95039578,95107383,95297976,95457846,95652163,95988333,96548912,97078843,97242778,97602912,97647499,98556124,98751078,98890978,98970039,99764409,...,142326576933053832311984679030429219992734723765099051872284603474726033760402250491961267764775206939594294639863612552166248419357967694988871895281340632069037695098604703504317494654980562561549385326392182803037777912169128775503988449413826580091609493346933125632378257013389866989431233637691781073057681513614302795054374560213925174066173927251650974532288193824011604728437610940560912540214505591612259100919344324544488873211508137503985276462279494663017241539951719320249888668947156452648865732254345417149337883009463614482901662878839967516372290651002788521238502071069931535688017099031096103798803991654349304390987630916176474977187447280354720092204575654563014355517090218409759543916329250650648405963886297293806069046438933923181668291427218311520918154210507856743365805363414163941025089252443432592697208051345917786709431586379633739449154658331529329556793815728830626834200751552263364035553024990209962893579720484772744115799348572652466704756687886195486686706662240018183298913329970851768644440375732216376847677515522822830865146334881911398586498159379024948809333471249551873436336252362161500675029729303686619234989928659065362558941757833609375652360433883606243993142371000923867027725010282024998964825709407067563542443631585979044243372793990148970348719118832984750671753162898921580032923606063409040733625295886837366461311436172868711866672732644170799654723551417054490229005514800928030775452045935673594482126483767409975643162689013635888342953841652329507697236313314388529930539990305680332647163364932929079913450194448697389487217413978767897854065803599443075442453511432152001709716477490906136431595573129871513057153545263012075660948876955370377067942068255810383718621830672021602712797194890209809214518467294489209749646678560266391928344154418282038258104415988468801995286522531465497151561011274585155066637326575997809190526936498625004990947132133106517610038943654789300125666895724518091072786062073321386901171988763756572167962905602984993308047961968844231273764415183046314035410258245978971055270443731072306353939899027618397008886512245091785396360102214922206999628672061554122988337224409639559748211196878712258718843453416162109622568183488308721371306919080735249308930731657314958530389430395350400063356954873862823022214804170199584908608127976770514489123967838038312212714273912195542889697687151481372861068522176521199557906701390383240672094816488410292899902107537530570913613406303787915149429987306446875700300804085281552213480554494910218271093827884107086623288037149880115571423916619959225123135044157693105035869549057151073138889897923053665837505712961467377129366835535188458277417932656634201300988365852928490886323030720544232498772873064655849760686759309844337133879785349758299014177801695140557044186307603442643557140634930273648717225263128217082220632194222404760967859806159757290927349925435983343248385775639305367327391839829298003385768151651980767121149518802929546352945093487322768250725566744150804342135089627539641422839216515865969220259699688812743828212539137115365275615962729936878813033013956192058083327591184418477825142150871879460743296281714059867404933646555401922738506721290389198428506504554051136463666856142765692527165451294067142603424761848875565150057061323771003210609740188908988411364654841194320995054725778245097666190392422491581281923276445702865960882209004830571594224620719101037906528753266128795495376984700781120079553155963415269701758974996053516317051919966180798113950925737275279400963951526810768348216467851146078695975777218332202245081354390648411291223633950431554566645366221041056575935634553605179319415392225335579516030754630779134870747368034766003173722681650080333225880946738122667679981796975405891920890007871668690825463174081966059313535570431855322031420836531768499982077377201827675777057955292820011861784941180580114851768260087225475816921408034138650362125703208156133392975281710981993295217605192436776206357537785367711398243697480883210268324836806893746929559417608260174297205844436743092105780354836186947470657879493563427272186513050848030234853918404124938004853427619959485078192138909405781324868663398983371553517010697964111231571161015970546883033193436226021638662994328240064687464535039065236105596844259148225742381354375230971508518540082452675865062588259016157580323446651115575781026192314687679966395860104909217719965524621522673742497426279939152428300886167592231973433551195615295032706411876037935220635346779121536469559518253458211252859521059396580380990803481422113972286667994502300386907043067793531371948744405589695988906952399503489588511372029300333245673027165099211611566870729901892830427775648930734005071031814197820770586009558471486188395544128145678171777837776052364482243312570566489247088125472727811573999086045151514457470329430500711071712392822853421477542578}
30837 3643735558680783411243602739864367787417475548517349492345692261568730065346431136748706: {462435,493264,554922,1571667,2804347,2864679,3543035,4006210,4251642,4466435,4745818,4807452,4894179,5359722,5631459,5761283,6552519,6779740,7793159,8135688,8195194,8902067,9078035,9152649,9863367,10413442,10893642,11699367,11707420,12066279,12080264,12616467,13590297,14048904,14427847,14448867,14665084,14998119,15216682,15716827,15805017,15913059,16178925,17206579,17257520,17558439,17622748,17940659,18106467,19260625,19414710,19837132,20253898,20611210,20709024,20950120,21639043,22118739,22154167,22452610,23112750,23297652,23568885,23574867,24395059,24587627,24653600,24733452,25140144,25392867,25751308,25756179,26789347,26943132,27229852,27294967,27735300,28282662,28338760,28934140,29018939,29021667,29118826,29584320,29823112,30572458,30832467,31556608,31648810,31881105,32812546,33282360,33544167,33551001,34006512,34720968,35501184,35647363,36558635,37442655,37978572,38176259,38257326,38722498,38746747,38832283,38992810,39061089,39311079,39938832,40389639,41007079,41283946,41390587,42054285,42114547,42544167,42668983,43447978,43674940,43870362,43893706,44336967,44739635,44857904,44931186,45335818,45667132,46081288,46248323,46791372,47190442,47379219,48934387,49165539,49818153,50064625,50279603,50283082,50465142,50680747,51127719,51841449,52409928,53687562,53798739,55474690,55528924,55866947,56298298,57174279,57970423,58309835,58592967,58961169,58988147,59124579,59129410,59145706,59242267,59307325,59720794,60077550,60895059,60955690,61014155,61451985,61956682,62068540,63369699,63790018,64082720,64851178,64970659,65238760,65548784,65571418,66569628,66862747,67072839,67311635,67414858,68344403,68957194,69971802,70940967,70955292,71168790,71346299,71685418,71932987,72093060,72102979,73146828,73157125,73216986,73393605,73742382,73922019,73972409,74097159,74120648,74482248,74487155,75209212,75250423,75569927,75913376,76722922,76806394,76853179,76899264,76976697,77172035,77689643,78085605,78199546,78286512,78409859,79688967,79860748,80426140,80773962,81431367,81923338,82123708,82814890,82993627,83291312,83385729,83792529,84480298,84631810,84724750,85207235,85315420,85402548,85429779,85767418,86511672,86644167,86990919,87040642,87788550,88030599,88072326,88524487,89242467,89384586,89625898,89940803,89980252,90418163,91461763,91638925,92180679,92501409,92606442,92644540,93316738,93391543,93641120,93702726,95518210,95888668,96306940,96511368,96663227,97175932,97325631,97520739,98034679,98419447,99268725,99377868,99581667,...,213489865399580748467977018545643829989102085647648577808426905212089050640603375737941901647162810409391441959795418828249372629036951542483307842922010948103556542647907055256476241982470843842324077989588274204556666868253693163255982674120739870137414240020399688448567385520084800484146850456537671609586522270421454192581561840320887761099260890877476461798432290736017407092656416410841368810321758387418388651379016486816733309817262206255977914693419241994525862309927578980374833003420734678973298598381518125724006824514195421724352494318259951274558435976504182781857753106604897303532025648546644155698205987481523956586481446374264712465781170920532080138306863481844521533275635327614639315874493875975972608945829445940709103569658400884772502437140827467281377231315761785115048708045121245911537633878665148889045812077018876680064147379569450609173731987497293994335190723593245940251301127328395046053329537485314944340369580727159116173699022858978700057135031829293230030059993360027274948369994956277652966660563598324565271516273284234246297719502322867097879747239068537423214000206874327810154504378543242251012544593955529928852484892988598043838412636750414063478540650825409365989713556501385800541587515423037498447238564110601345313665447378968566365059190985223455523078678249477126007629744348382370049385409095113561100437943830256049691967154259303067800009098966256199482085327125581735343508272201392046163178068903510391723189725651114963464744033520453832514430762478494261545854469971582794895809985458520498970745047399393619870175291673046084230826120968151846781098705399164613163680267148228002564574716236359204647393359694807269585730317894518113491423315433055565601913102383715575577932746008032404069195792335314713821777700941733814624470017840399587892516231627423057387156623982703202992929783797198245727341516911877732599955989863996713785790404747937507486420698199659776415058415482183950188500343586777136609179093109982080351757983145634858251944358404477489962071942953266346910646622774569471053115387368968456582905665596608459530909848541427595513329768367637678094540153322383310499443008092331184482505836614459339622316795318068388078265180124243164433852275232463082056960378621102873963396097485972437795584145593025600095035432310794234533322206255299377362912191965155771733685951757057468319071410868293314334546530727222059291602783264781799336860052085574861008142224732615439349853161306295856370420109455681872724144980959670313550451206127922328320220831742365327406640741826160629934932055724820173357135874929938837684702566236539657553804323585726609708334846884580498756258569442201065694050253302782687416126898984951301951482548779392736329484546080816348748159309596983774641030138964766505700819678024637448521266702542710835566279461405163965335710952395410473075837894692325623330948291333607141451789709239635936391024888153975014872578663458958050991087759743947005078652227477971150681724278204394319529417640230984152376088350116226206513202634441309462134258824773798953830389549533219115742318808705673047913423944094905318219549520934288087124991386776627716737713226307819191114944422571089801107400469833102884107760081935583797642759756831076704695500284214148538790748176941100713905137142773313347725085591985656504815914610283363482617046982261791481492582088667367646499285588633737371922884914668554298941323313507245857391336931078651556859793129899193193243065477051171680119329733945122904552638462494080274475577879949271197170926388605912919101445927290216152522324701776719118043963665827498303367622031585972616936835450925647331849968049331561584863903451830407768979123088338003369274046131946168702306121052052149004760584022475120499838821420107184001519972695463108837881335011807503036238194761122949088970303355647782983047131254797652749973116065802741513665586932939230017792677411770870172277652390130838213725382112051207975543188554812234200089462922566472989942826407788655164309536306678051567097365546221324815402487255210340620394339126412390261445808766655114638158670532254280421205986819240345140908279769576272045352280877606187407007280141429939227617288208364108671987302995098475057330275516046946166847356741523955820324549790154339032457994491492360097031196802558597854158395266388722338613572031562846457262777810123679013797593882388524236370485169976673363671539288472031519949593790157363826579948286932284010613746139419908728642451329251388347960150326793422942549059617814056902830953020168682304704339277380187316879289281589094870571486205222133170958430001991753450580360564601690297057923116608384543983360428599255234382767058043950499868509540747648817417350306094852839245641663473396101007606547721296731155879014337707229282593316192218517257666756664078546723364968855849733870632188209091717360998629067727271686205494145751066607568589234280132216313867}
30838 3654898824445637827375930417079933020057184065896888265767469598726833439974229359259625: {431606,616580,739896,832383,893461,1171046,2095556,3819572,4022617,4491398,4572661,4859606,5122057,5668856,6009315,6377463,6409936,6525572,6698486,7118727,7146296,7211178,7508612,8039583,8474675,8533766,8586517,8736692,10169610,10570231,10580377,10847584,11828198,11844661,12193526,12203532,12292791,13151156,13644661,14524856,14634275,14900377,15100330,15599156,15620163,16088372,16340463,16821956,16929686,17223061,17292998,17561130,18120396,18331355,18731872,18744806,19265156,19356277,19997492,20418997,21073356,21126037,21217412,21571900,21655561,21997626,22028435,22364246,22825023,23411252,24141956,24293461,24796415,24819097,24889286,25886280,26095223,26187650,26328998,26434122,27263497,27612032,29000857,29122065,29491652,29755698,30380847,30385561,30817000,30916815,31063536,31248661,31425180,31433156,31707398,32189135,32625877,32977936,33520192,33678915,33857156,34037315,34341572,34669125,34918886,34946478,35423450,35924176,36167675,36980400,37053398,37100178,37278890,37710216,38427637,38597017,38626962,38695556,39250666,39445760,40321127,40414698,40844778,41109956,41465461,41602950,41969497,42305161,42423993,42508140,42640537,43401210,43678239,43778486,43979161,44130998,44313097,44376480,44483366,44725556,44734668,45342016,45858687,46294624,46974217,47334912,47473215,47802037,48453119,49218819,49401398,49781461,49923540,50638096,51009768,51150998,52081452,52414772,52548086,52567897,53251776,53852852,54359797,54593675,54684661,54987446,56072380,56725556,56967858,57083915,57111961,57355186,57385989,57601610,58083747,58489215,58493816,59115956,59908248,60003337,61440277,61572998,61925919,62388496,63172292,63188617,64770457,64855567,65171967,65512410,65554052,65558677,65805543,65840559,66424204,66659161,67286856,67396779,68003727,68170292,68225161,68448998,68500698,69121932,69411155,69879904,70187058,70785663,71583416,71645017,71731652,72108661,72879898,73227926,73649461,73908326,74876917,75424623,75641737,75697713,76232372,76709461,77013877,77585675,78123956,78614892,78832772,78985561,79438837,80103400,80531343,80945077,81193412,81548450,81935980,81997586,82364726,83212035,83293386,83787097,84447447,84492932,85051766,85386998,85716661,86898037,87395366,88221577,88694115,88718559,88759504,88954357,89430452,89581191,89831317,90116325,90731126,90851161,91433535,91577461,91729046,91950607,92301961,92650810,92935023,93024661,93102810,93295736,93457417,94011515,94587956,94607056,94891720,95046086,95685027,96124080,96611161,96699206,97029398,97038517,97276767,97359446,97529104,97622648,97858140,98323176,98357127,98562692,98796212,99007526,99309664,99447961,99825935,99854442,...,284653153866107664623969358060858439985469447530198103744569206949452067520804500983922535529550413879188589279727225104332496838715935389977743790562681264138075390197209407008634989309961125123098770652784365606075555824338257551007976898827653160183218986693866251264756514026779733978862467275383562146115363027228605590108749120427850348132347854503301949064576387648023209456875221881121825080429011183224518201838688649088977746423016275007970552924558989326034483079903438640499777337894312905297731464508690834298675766018927228965803325757679935032744581302005577042477004142139863071376034198062192207597607983308698608781975261832352949954374894560709440184409151309126028711034180436819519087832658501301296811927772594587612138092877867846363336582854436623041836308421015713486731610726828327882050178504886865185394416102691835573418863172759267478898309316663058659113587631457661253668401503104526728071106049980419925787159440969545488231598697145304933409513375772390973373413324480036366597826659941703537288880751464432753695355031045645661730292669763822797172996318758049897618666942499103746872672504724323001350059458607373238469979857318130725117883515667218751304720867767212487986284742001847734055450020564049997929651418814135127084887263171958088486745587980297940697438237665969501343506325797843160065847212126818081467250591773674732922622872345737423733345465288341599309447102834108980458011029601856061550904091871347188964252967534819951286325378027271776685907683304659015394472626628777059861079980611360665294326729865858159826900388897394778974434827957535795708131607198886150884907022864304003419432954981812272863191146259743026114307090526024151321897753910740754135884136511620767437243661344043205425594389780419618429036934588978419499293357120532783856688308836564076516208831976937603990573045062930994303122022549170310133274653151995618381053872997250009981894264266213035220077887309578600251333791449036182145572124146642773802343977527513144335925811205969986616095923937688462547528830366092628070820516491957942110540887462144612707879798055236794017773024490183570792720204429844413999257344123108245976674448819279119496422393757424517437686906832324219245136366976617442742613838161470498617861463314629917060778860790700800126713909747725646044429608340399169817216255953541028978247935676076624425428547824391085779395374302962745722137044353042399115813402780766481344189632976820585799804215075061141827226812607575830298859974612893751400601608170563104426961108989820436542187655768214173246576074299760231142847833239918450246270088315386210071739098114302146277779795846107331675011425922934754258733671070376916554835865313268402601976731705856981772646061441088464997545746129311699521373518619688674267759570699516598028355603390281114088372615206885287114281269860547297434450526256434164441264388444809521935719612319514581854699850871966686496771551278610734654783679658596006771536303303961534242299037605859092705890186974645536501451133488301608684270179255079282845678433031731938440519399377625487656425078274230730551231925459873757626066027912384116166655182368836955650284301743758921486592563428119734809867293110803845477013442580778396857013009108102272927333712285531385054330902588134285206849523697751130300114122647542006421219480377817976822729309682388641990109451556490195332380784844983162563846552891405731921764418009661143188449241438202075813057506532257590990753969401562240159106311926830539403517949992107032634103839932361596227901851474550558801927903053621536696432935702292157391951554436664404490162708781296822582447267900863109133290732442082113151871269107210358638830784450671159032061509261558269741494736069532006347445363300160666451761893476245335359963593950811783841780015743337381650926348163932118627071140863710644062841673063536999964154754403655351554115910585640023723569882361160229703536520174450951633842816068277300724251406416312266785950563421963986590435210384873552412715075570735422796487394961766420536649673613787493859118835216520348594411688873486184211560709672373894941315758987126854544373026101696060469707836808249876009706855239918970156384277818811562649737326797966743107034021395928222463142322031941093766066386872452043277325988656480129374929070078130472211193688518296451484762708750461943017037080164905351730125176518032315160646893302231151562052384629375359932791720209818435439931049243045347484994852559878304856601772335184463946867102391230590065412823752075870441270693558243072939119036506916422505719042118793160761981606962844227944573335989004600773814086135587062743897488811179391977813904799006979177022744058600666491346054330198423223133741459803785660855551297861468010142063628395641541172019116942972376791088256291356343555675552104728964486625141132978494176250945455623147998172090303028914940658861001422143424785645706842955085156}
30839 3666096094167820211096980141520379610871244042564735589067347608445535299918226867065128: {30839,647409,770725,924870,986528,1109844,1756569,2619445,3143334,3728857,4774465,4960249,5608694,5729358,6253009,6439081,6737097,6808789,7086070,7289409,8012420,8156965,8503284,8932870,9210097,9385765,9491636,9614904,9788358,9949369,10047729,10719444,10816767,10920865,11262918,11522566,12709249,12800649,13105038,13559480,15254415,15586318,15913777,16271376,16390388,16438945,17742297,17804134,18156070,18290289,18305298,19498945,19726734,20110465,20826884,21027445,21202597,21454357,21787284,22650495,23398734,23414840,24021217,24081445,24132558,24160528,24996865,25232934,25394529,25886821,25939497,26341695,26521765,26964875,27180594,27480289,28097808,28117209,28855694,28897734,29264065,29330168,29996238,30177445,30433364,30434497,30855289,31433654,31610034,31826118,32357850,32996439,33019429,33546369,34137697,34413158,34515040,35116878,35245496,35881318,36212934,36864565,37333929,37500097,38521250,38829420,39281475,39291445,39493497,39651183,39674264,40507796,41222420,41418048,41737249,41900240,41929969,42321445,42926965,43278086,44234377,44237478,44308334,44633547,44905220,45117397,46225500,46595304,46923481,47137770,47149734,47273509,47561097,48369445,48790118,49175254,49307200,49466904,50280288,50785734,50954497,51182089,51387445,51502616,51512358,51702517,52378329,52419717,52968817,53135175,53578694,53886264,54459704,54589934,54657109,55470600,55580097,55650267,55906945,55918335,56324257,56565324,56677520,56911189,57868280,57940443,58037878,58043334,58237652,58875999,59168640,59421349,59646224,60347881,60622047,61144916,61267167,61664934,62404425,62439529,62635489,62898169,63113216,63297620,63762210,64368337,65101815,65518465,65625092,65667729,65927929,66196497,66377377,66564720,66725049,67088334,67102002,67316065,68013024,69441936,70090475,70906945,71002368,71294726,72759097,73117270,73894945,73959889,74102097,74885310,75957144,76352518,76384921,76514652,76726497,76982449,77444996,77493494,77664566,77985620,78122178,78622158,78732457,78822129,78965365,79797097,79877664,80779278,81633769,81942565,82014158,82481169,82567892,82781174,83030255,84108570,84229094,84423097,85088334,85212865,85337966,85419817,85451787,86032779,86395669,86402415,86829601,86895956,87349880,87740724,87787412,88673934,89446297,89479270,89642569,89664565,89715808,89862372,90138709,90424081,90671636,91090417,91334264,91721809,92162576,92359497,92496646,92666197,93246649,93582744,94236289,94380884,94758438,95271409,95290465,96083329,96143617,97654945,97868774,98074369,98268615,98331078,98540965,99458857,99636306,...,426979730799161496935954037091287659978204171295297155616853810424178101281206751475883803294325620818782883919590837656498745258073903084966615685844021896207113085295814110512952483964941687684648155979176548409113333736507386326511965348241479740274828480040799376897134771040169600968293700913075343219173044540842908385163123680641775522198521781754952923596864581472034814185312832821682737620643516774836777302758032973633466619634524412511955829386838483989051724619855157960749666006841469357946597196763036251448013649028390843448704988636519902549116871953008365563715506213209794607064051297093288311396411974963047913172962892748529424931562341841064160276613726963689043066551270655229278631748987751951945217891658891881418207139316801769545004874281654934562754462631523570230097416090242491823075267757330297778091624154037753360128294759138901218347463974994587988670381447186491880502602254656790092106659074970629888680739161454318232347398045717957400114270063658586460060119986720054549896739989912555305933321127196649130543032546568468492595439004645734195759494478137074846428000413748655620309008757086484502025089187911059857704969785977196087676825273500828126957081301650818731979427113002771601083175030846074996894477128221202690627330894757937132730118381970446911046157356498954252015259488696764740098770818190227122200875887660512099383934308518606135600018197932512398964170654251163470687016544402784092326356137807020783446379451302229926929488067040907665028861524956988523091708939943165589791619970917040997941490094798787239740350583346092168461652241936303693562197410798329226327360534296456005129149432472718409294786719389614539171460635789036226982846630866111131203826204767431151155865492016064808138391584670629427643555401883467629248940035680799175785032463254846114774313247965406405985859567594396491454683033823755465199911979727993427571580809495875014972841396399319552830116830964367900377000687173554273218358186219964160703515966291269716503888716808954979924143885906532693821293245549138942106230774737936913165811331193216919061819697082855191026659536735275356189080306644766620998886016184662368965011673228918679244633590636136776156530360248486328867704550464926164113920757242205747926792194971944875591168291186051200190070864621588469066644412510598754725824383930311543467371903514114936638142821736586628669093061454444118583205566529563598673720104171149722016284449465230878699706322612591712740840218911363745448289961919340627100902412255844656640441663484730654813281483652321259869864111449640346714271749859877675369405132473079315107608647171453219416669693769160997512517138884402131388100506605565374832253797969902603902965097558785472658969092161632697496318619193967549282060277929533011401639356049274897042533405085421671132558922810327930671421904790820946151675789384651246661896582667214282903579418479271872782049776307950029745157326917916101982175519487894010157304454955942301363448556408788639058835280461968304752176700232452413026405268882618924268517649547597907660779099066438231484637617411346095826847888189810636439099041868576174249982773553255433475426452615638382229888845142179602214800939666205768215520163871167595285519513662153409391000568428297077581496353882201427810274285546626695450171183971313009631829220566726965234093964523582962985164177334735292998571177267474743845769829337108597882646627014491714782673862157303113719586259798386386486130954102343360238659467890245809105276924988160548951155759898542394341852777211825838202891854580432305044649403553438236087927331654996606735244063171945233873670901851294663699936098663123169727806903660815537958246176676006738548092263892337404612242104104298009521168044950240999677642840214368003039945390926217675762670023615006072476389522245898177940606711295565966094262509595305499946232131605483027331173865878460035585354823541740344555304780261676427450764224102415951086377109624468400178925845132945979885652815577310328619072613356103134194731092442649630804974510420681240788678252824780522891617533310229276317341064508560842411973638480690281816559539152544090704561755212374814014560282859878455234576416728217343974605990196950114660551032093892333694713483047911640649099580308678064915988982984720194062393605117195708316790532777444677227144063125692914525555620247358027595187764777048472740970339953346727343078576944063039899187580314727653159896573864568021227492278839817457284902658502776695920300653586845885098119235628113805661906040337364609408678554760374633758578563178189741142972410444266341916860003983506901160721129203380594115846233216769087966720857198510468765534116087900999737019081495297634834700612189705678491283326946792202015213095442593462311758028675414458565186632384437034515333513328157093446729937711699467741264376418183434721997258135454543372410988291502133215137178468560264432627734}
30840 3677327470828886320991144585957695323207167117286281229281339249474796977698482740194337: {339119,708791,863212,955079,1139711,1233160,1387305,1479792,1664766,1786922,1816079,2061791,2342092,2552831,3472151,3900551,4191112,4206311,4634039,4715001,5000351,5488319,5853959,6036671,7639144,8041751,8045234,8413041,8587079,8594037,8647631,8982796,9145322,9494519,9719212,10015525,10098479,10244114,10581071,10629105,10641359,11337712,11364191,11864545,12018630,12446279,12754926,12819872,13051144,13396972,13399305,13645559,14237454,14292592,14422356,14682537,15017224,15140159,15796199,16079166,16570271,16894377,16949350,17067532,17173034,17224199,17283599,17283849,17473384,17758511,18114359,18647591,19416671,19657557,19712111,19889279,20339220,20487985,21127439,21140462,21160754,21695168,21892151,22362071,22596839,23124599,23379477,23656396,23689322,24353519,24387052,24407064,24585582,24820751,24879119,25663897,25695431,26033605,26302312,26393879,26706201,27234105,27289322,27457947,27497399,28887191,29049712,29176151,29268550,29590101,29800754,30200660,30445199,30839809,31198312,31240326,31308239,32176744,32341511,32680926,33200591,33372191,33643912,33859372,34446122,34585996,34714981,34742399,35098101,35122260,36198837,36240792,36391919,36662710,37242479,37463744,37489612,37849401,38041705,38486711,38530312,38712554,39994984,40289591,40770891,40837994,42028319,42146712,42252074,42308039,42434824,42643439,42699311,43143800,43283541,43311122,43346601,43815071,43995252,44056870,44728492,44994357,45064789,45205271,45482711,45650046,45981599,46701071,46822504,47032679,47150481,47308799,47415051,47652241,47739177,48283912,48536775,48586922,48631391,49345871,49592830,49638194,49778572,49784879,50634745,51528025,51619737,51644951,51772560,52190446,52375300,52657996,52675317,52868244,52897991,53115479,53821977,53929919,54319401,54417719,54526994,55175231,55224064,55337351,55823279,56131525,56954591,57262777,57599471,57760511,57781875,58001714,58244130,58403951,58983304,59511396,59527199,59847479,60007511,60060839,60646919,60761694,60771122,61125719,61338311,61497671,61634000,61763111,61833630,62127072,62452319,62497322,62850360,62866312,63351551,63414796,63562799,63984911,64143071,64378270,64774991,64827599,64917129,65143079,65251754,65458271,65955872,66356217,66462501,66716159,66873071,67040384,67357830,67656551,67714312,68073671,68074630,68542319,68683144,69218111,69338250,69477671,69837772,69892956,70706655,70724601,70846900,71392199,71650079,71848352,71959271,72165239,72319631,72335350,72797065,73185177,73762881,73960800,73961999,74106796,74200356,74557780,74882231,74933279,75392351,75420432,75698039,76178601,76431145,76714919,76765679,76855274,77019359,77194034,77253924,77268537,77323511,77391112,78234239,78501332,78891520,79122025,79595471,79917481,79947431,80368041,80499719,80642254,80700311,80829396,80950871,81689556,81884901,82001039,82031365,82219912,82450031,82930922,83205900,83938994,84090791,84437711,84536759,84610322,84734759,84847986,85016280,85031519,85179791,85281074,85722839,86802420,87056817,87065001,87356478,87556972,87640391,87958322,88130111,88261996,88626194,88667879,88752960,88966732,89155919,89451112,89469336,89837831,89886479,90684032,90857759,90906239,91196951,91632479,91717374,92308679,92356919,92497401,92589248,93079559,93608351,93948434,94088231,94669824,94946430,95604074,95643315,95952119,96665759,96806245,96906238,97045631,97093079,97175617,97482025,97614479,98437638,98802796,99078671,99562922,99847080,...,640469596198742245403931055636931489967306256942945733425280715636267151921810127213825704941488431228174325879386256484748117887110854627449923528766032844310669627943721165769428725947412531526972233968764822613670000604761079489767948022362219610412242720061199065345702156560254401452440551369613014828759566811264362577744685520962663283297782672632429385395296872208052221277969249232524106430965275162255165954137049460450199929451786618767933744080257725983577586929782736941124499010262204036919895795144554377172020473542586265173057482954779853823675307929512548345573259319814691910596076945639932467094617962444571869759444339122794137397343512761596240414920590445533564599826905982843917947623481627927917826837488337822127310708975202654317507311422482401844131693947285355345146124135363737734612901635995446667137436231056630040192442138708351827521195962491881983005572170779737820753903381985185138159988612455944833021108742181477348521097068576936100171405095487879690090179980080081824845109984868832958899981690794973695814548819852702738893158506968601293639241717205612269642000620622983430463513135629726753037633781866589786557454678965794131515237910251242190435621952476228097969140669504157401624762546269112495341715692331804035940996342136905699095177572955670366569236034748431378022889233045147110148156227285340683301313831490768149075901462777909203400027296898768598446255981376745206030524816604176138489534206710531175169569176953344890394232100561361497543292287435482784637563409914748384687429956375561496912235142198180859610525875019138252692478362904455540343296116197493839491040801444684007693724148709077613942180079084421808757190953683554340474269946299166696805739307151146726733798238024097212207587377005944141465333102825201443873410053521198763677548694882269172161469871948109608978789351391594737182024550735633197799867969591990141357371214243812522459262094598979329245175246446551850565501030760331409827537279329946241055273949436904574755833075213432469886215828859799040731939868323708413159346162106905369748716996789825378592729545624282786539989305102913034283620459967149931498329024276993553447517509843378018866950385954205164234795540372729493301556825697389246170881135863308621890188292457917313386752436779076800285106296932382703599966618765898132088736575895467315201057855271172404957214232604879943003639592181666177874808349794345398010580156256724583024426674197846318049559483918887569111260328367045618172434942879010940651353618383766984960662495227095982219922225478481889804796167174460520071407624789816513054107698709618972661412970757179829125004540653741496268775708326603197082150759908348062248380696954853905854447646338178208988453638242449046244477928790951323923090416894299517102459034073912345563800107628132506698838384215491896007132857186231419227513684076976869992844874000821424355369127718907809173074664461925044617735990376874152973263279231841015235956682433913452045172834613182958588252920692952457128265050348678619539607903323928386402776474321396861491168648599657347226956426117019143740271832284715954658648562802864261374974160329883150213139678923457573344833267713269403322201409499308652323280245806751392928279270493230114086500852642445616372244530823302141715411428319940043175256775956969514447743830850090447851140946785374444477746266002102939497856765901212115768654744005662896823969940521737572174010793235954670579379389697579579729196431153515040357989201835368713657915387482240823426733639847813591512779165817738757304337781870648457566974105330157354131890997482494910102866094757917850810506352776941995549904147994684754591710355491223306937369265014010107822138395838506106918363156156447014281752067425361499516464260321552004559918086389326513644005035422509108714584283368847266910910066943348949141393764392958249919348197408224540996760798817690053378032235312610516832957170392514641176146336153623926629565664436702600268388767699418969828479223365965492928608920034154701292096638663974446207461765631021861183017379237170784337426299965343914476011596762841263617960457721035422724839308728816136056842632818562221021840424289817682851864625092326015961908985295425171990826548140838500542070224571867460973649370463017097373983474477080291093590407675793562475185799166167015840716094688539371788333430371037041392781647165572709111455509930020091014617865416094559848781370472091479739844860796852031841238418259726185927353987754165043880450980380268827647178853442170708492859060506046914113017832140561950637867844767284611714458615666399512875290005975260351741081693805070891173769349825153631950081285797765703148301174131851499605528622242946452252050918284558517736924990420188303022819643163890193467637043013121687847779948576655551773000269992235640170094906567549201611896564627275152082995887203181815058616482437253199822705767702840396648941601}
30841 3688593057720475870009699113695239034516467970786745057283420839162561995601312166447468: {30841,61678,1079015,1294818,1541450,1849740,1973056,2219688,2497149,2680383,2927615,3513138,3667223,4406831,5238890,6286668,6684251,7457714,7609823,9548930,9920498,11119883,11217388,11228495,11419751,11458716,12067851,12149015,12506018,12878162,13140071,13474194,13617578,13717983,14172140,14578818,15289211,15366171,16024840,16313930,16746215,17006568,17865740,18027945,18420194,18771530,18807191,18983272,19132389,19229808,19576716,19898738,20095458,21334415,21356181,21438888,21633534,21841730,22500911,22525836,22672331,23014523,23045132,23978399,24118749,24697871,25418498,25424025,25601298,25759551,26194631,26210076,27118960,27298523,27672119,28154651,28388711,29438423,29570495,30483815,30508830,31172636,31710693,31741131,31827554,31901231,32542752,32780776,32877890,33714023,34485323,34813691,34995611,35032223,35296631,35484594,35533983,35608268,36312140,36580578,36610596,36878373,37130471,37750825,38997890,39453468,40220930,40344551,40933983,40969691,41653768,42054890,42248423,42324215,42405194,42892091,42908714,43152071,43232495,43574568,43902825,44701131,44821691,45300990,46667471,46797468,46829680,46860489,46862015,48042434,48162890,48265116,48321056,49021389,49993730,50465868,50533751,50668823,50789058,51610391,51669183,51773642,51878994,52276991,52683390,53043530,53486423,53929750,54224591,54361188,54960578,54994065,55008023,55455023,55910615,56195616,56234418,57711388,57795468,58068831,58528130,58660336,59250023,59992476,60097751,60218951,60354890,60866728,60868994,61022159,61256991,61710578,62223215,62599511,62867308,63220068,63378111,63606623,63652236,64715700,64966683,65042351,65469125,65822495,65992878,66038858,66085305,66274823,66565031,67051259,67092738,67717223,68275394,68475069,68826316,69030080,70233756,70490992,71320223,71762636,71942423,72425868,72880383,73729130,74389245,74457291,74667858,75000194,76071671,77042500,77658840,78269723,78285669,78445991,78562950,78582890,78986994,79060571,79268495,79302366,79348528,81015592,81790491,82444840,82836096,83474498,83800480,83859938,84642890,84961631,85853930,86556172,87002571,87297215,87366195,87995099,88468754,88474956,88558625,88616668,89267094,89810440,90234794,91096379,91142541,91156683,91725851,91965911,92353991,92451000,92633495,92750445,93094991,93190608,93197225,93745983,93809531,93846962,94242491,94275540,94288511,94299468,94547018,95122194,96567405,96738890,96759323,97052183,97580236,97877631,98047451,98126665,98350508,98614400,98933808,99269723,99340391,99772751,...,853959461598322993871908074182575319956408342590594311233707620848356202562413502951767606588651241637565767839181675312997490516147806169933231371688043792414226170591628221025904967929883375369296311958353096818226667473014772653023930696482959480549656960081598753794269542080339201936587401826150686438346089081685816770326247361283551044397043563509905847193729162944069628370625665643365475241287033549673554605516065947266933239269048825023911658773676967978103449239710315921499332013682938715893194393526072502896027298056781686897409977273039805098233743906016731127431012426419589214128102594186576622792823949926095826345925785497058849863124683682128320553227453927378086133102541310458557263497975503903890435783317783762836414278633603539090009748563309869125508925263047140460194832180484983646150535514660595556183248308075506720256589518277802436694927949989175977340762894372983761005204509313580184213318149941259777361478322908636464694796091435914800228540127317172920120239973440109099793479979825110611866642254393298261086065093136936985190878009291468391518988956274149692856000827497311240618017514172969004050178375822119715409939571954392175353650547001656253914162603301637463958854226005543202166350061692149993788954256442405381254661789515874265460236763940893822092314712997908504030518977393529480197541636380454244401751775321024198767868617037212271200036395865024797928341308502326941374033088805568184652712275614041566892758902604459853858976134081815330057723049913977046183417879886331179583239941834081995882980189597574479480701166692184336923304483872607387124394821596658452654721068592912010258298864945436818589573438779229078342921271578072453965693261732222262407652409534862302311730984032129616276783169341258855287110803766935258497880071361598351570064926509692229548626495930812811971719135188792982909366067647510930399823959455986855143161618991750029945682792798639105660233661928735800754001374347108546436716372439928321407031932582539433007777433617909959848287771813065387642586491098277884212461549475873826331622662386433838123639394165710382053319073470550712378160613289533241997772032369324737930023346457837358489267181272273552313060720496972657735409100929852328227841514484411495853584389943889751182336582372102400380141729243176938133288825021197509451648767860623086934743807028229873276285643473173257338186122908888237166411133059127197347440208342299444032568898930461757399412645225183425481680437822727490896579923838681254201804824511689313280883326969461309626562967304642519739728222899280693428543499719755350738810264946158630215217294342906438833339387538321995025034277768804262776201013211130749664507595939805207805930195117570945317938184323265394992637238387935098564120555859066022803278712098549794085066810170843342265117845620655861342843809581641892303351578769302493323793165334428565807158836958543745564099552615900059490314653835832203964351038975788020314608909911884602726897112817577278117670560923936609504353400464904826052810537765237848537035299095195815321558198132876462969275234822692191653695776379621272878198083737152348499965547106510866950852905231276764459777690284359204429601879332411536431040327742335190571039027324306818782001136856594155162992707764402855620548571093253390900342367942626019263658441133453930468187929047165925970328354669470585997142354534949487691539658674217195765293254028983429565347724314606227439172519596772772972261908204686720477318935780491618210553849976321097902311519797084788683705554423651676405783709160864610089298807106876472175854663309993213470488126343890467747341803702589327399872197326246339455613807321631075916492353352013477096184527784674809224484208208596019042336089900481999355285680428736006079890781852435351525340047230012144952779044491796355881213422591131932188525019190610999892464263210966054662347731756920071170709647083480689110609560523352854901528448204831902172754219248936800357851690265891959771305631154620657238145226712206268389462184885299261609949020841362481577356505649561045783235066620458552634682129017121684823947276961380563633119078305088181409123510424749628029120565719756910469152833456434687949211980393900229321102064187784667389426966095823281298199160617356129831977965969440388124787210234391416633581065554889354454288126251385829051111240494716055190375529554096945481940679906693454686157153888126079798375160629455306319793147729136042454984557679634914569805317005553391840601307173691770196238471256227611323812080674729218817357109520749267517157126356379482285944820888532683833720007967013802321442258406761188231692466433538175933441714397020937531068232175801999474038162990595269669401224379411356982566653893584404030426190885186924623516057350828917130373264768874069030667026656314186893459875423398935482528752836366869443994516270909086744821976583004266430274356937120528865255468}
30842 3699892958445240822882429117991190175614158733029667570324827576219732424113867880147534: {92517,400777,678238,1417582,1726424,1877641,1910158,1942227,2279422,2312175,2430277,2466320,2774610,2959584,3329532,3573844,3632158,4123582,4267717,4684184,5105662,5269707,5549641,5915257,6097957,6463141,6944302,7801102,7858335,8382224,8412622,8648197,9268078,9430002,9555577,10000702,10642057,10976638,11186571,11364937,11707918,12073342,13346917,14021735,14323395,14880747,15278288,15856837,16083502,16090468,16610363,16826082,17174158,17188074,17284741,17295262,17715175,17965592,18174841,18290644,18708037,18759027,18989038,19063141,19317243,19438424,19949641,20031050,20196958,20211291,20303737,20426367,20488228,21162142,21258210,21282718,21364297,21868227,22069897,22246117,22332175,22598341,22675424,22728382,23729090,24037260,24470895,24880777,24892558,25509852,25580617,25639744,25755397,26102288,26453797,26793944,26798610,27291118,27630291,28157295,28474908,28585184,28683179,28806415,28844712,29365074,29582341,29848107,30034448,30101497,30143187,30280318,30965317,31592398,32158332,32450301,32762595,33140542,33788754,33898700,34135064,34346068,34448398,34567198,34567698,34744741,34946768,35517022,35598841,35939977,36228718,36447047,36451141,37295182,38127747,38401947,38833342,38965795,39315114,39424222,39778558,40678440,40975970,41006779,41190757,42254878,42280924,42321508,42702217,42869797,43390336,43784302,44510335,44724142,44875141,45193678,45390175,45763245,46249198,46758954,47312792,47367241,47378644,47741331,48524677,48689737,48707038,48774104,48814128,49171164,49316835,49641502,49758238,50664841,51327794,51390862,51812197,52067210,52604624,52787758,53226891,53258387,53412402,54468210,54578644,54870867,54915894,54994798,55881097,57657157,57774382,58099424,58352302,58461577,58496835,58537100,59103817,59180202,59601508,59904997,60065017,60331395,60401320,60704377,60890398,61183141,61679618,62396624,62456677,62480652,62616478,63082335,63361771,63567241,63607791,64042117,64353488,64358341,64363071,64683022,64832137,65361852,65462857,66401182,66744382,67287824,67674191,67718744,67951485,68892244,69171992,69429962,69484798,70196202,70244520,70888643,72063651,72139235,72244335,72397674,72481584,72783838,73325420,74484958,74927488,74938597,74979224,74990595,75698802,76083410,76183587,76466437,76771141,76973422,77060624,77425108,77660463,77818491,78290341,78584135,79025085,79565295,79989968,80579182,80894625,81541782,81675988,82440867,83997637,84056638,84293424,84351627,84504148,84616078,84740857,84869648,85286878,85398622,85482277,86032895,86221897,86287600,86567082,86622244,86693202,87630142,87695737,87792195,87990504,88113740,89456984,89703295,89892997,89988714,90129578,90410542,90532335,90912841,90965422,91203577,91300092,91303491,91963198,92363641,92565867,93402142,93645008,94065358,94095097,94300962,94617598,94830102,95304482,95478354,96303125,96567824,97073550,97100197,97173844,97262782,97384741,97668997,98691742,98803141,98989317,99058287,99185660,99276388,99557144,99569758,...,1280939192397484490807862111273862979934612513885891466850561431272534303843620254427651409882976862456348651758772512969496235774221709254899847057532065688621339255887442331538857451894825063053944467937529645227340001209522158979535896044724439220824485440122398130691404313120508802904881102739226029657519133622528725155489371041925326566595565345264858770790593744416104442555938498465048212861930550324510331908274098920900399858903573237535867488160515451967155173859565473882248998020524408073839791590289108754344040947085172530346114965909559707647350615859025096691146518639629383821192153891279864934189235924889143739518888678245588274794687025523192480829841180891067129199653811965687835895246963255855835653674976675644254621417950405308635014622844964803688263387894570710690292248270727475469225803271990893334274872462113260080384884277416703655042391924983763966011144341559475641507806763970370276319977224911889666042217484362954697042194137153872200342810190975759380180359960160163649690219969737665917799963381589947391629097639705405477786317013937202587278483434411224539284001241245966860927026271259453506075267563733179573114909357931588263030475820502484380871243904952456195938281339008314803249525092538224990683431384663608071881992684273811398190355145911340733138472069496862756045778466090294220296312454570681366602627662981536298151802925555818406800054593797537196892511962753490412061049633208352276979068413421062350339138353906689780788464201122722995086584574870965569275126819829496769374859912751122993824470284396361719221051750038276505384956725808911080686592232394987678982081602889368015387448297418155227884360158168843617514381907367108680948539892598333393611478614302293453467596476048194424415174754011888282930666205650402887746820107042397527355097389764538344322939743896219217957578702783189474364049101471266395599735939183980282714742428487625044918524189197958658490350492893103701131002061520662819655074558659892482110547898873809149511666150426864939772431657719598081463879736647416826318692324213810739497433993579650757185459091248565573079978610205826068567240919934299862996658048553987106895035019686756037733900771908410328469591080745458986603113651394778492341762271726617243780376584915834626773504873558153600570212593864765407199933237531796264177473151790934630402115710542344809914428465209759886007279184363332355749616699588690796021160312513449166048853348395692636099118967837775138222520656734091236344869885758021881302707236767533969921324990454191964439844450956963779609592334348921040142815249579633026108215397419237945322825941514359658250009081307482992537551416653206394164301519816696124496761393909707811708895292676356417976907276484898092488955857581902647846180833788599034204918068147824691127600215256265013397676768430983792014265714372462838455027368153953739985689748001642848710738255437815618346149328923850089235471980753748305946526558463682030471913364867826904090345669226365917176505841385904914256530100697357239079215806647856772805552948642793722982337297199314694453912852234038287480543664569431909317297125605728522749948320659766300426279357846915146689666535426538806644402818998617304646560491613502785856558540986460228173001705284891232744489061646604283430822856639880086350513551913939028895487661700180895702281893570748888955492532004205878995713531802424231537309488011325793647939881043475144348021586471909341158758779395159159458392862307030080715978403670737427315830774964481646853467279695627183025558331635477514608675563741296915133948210660314708263781994964989820205732189515835701621012705553883991099808295989369509183420710982446613874738530028020215644276791677012213836726312312894028563504134850722999032928520643104009119836172778653027288010070845018217429168566737694533821820133886697898282787528785916499838696394816449081993521597635380106756064470625221033665914340785029282352292672307247853259131328873405200536777535398837939656958446731930985857217840068309402584193277327948892414923531262043722366034758474341568674852599930687828952023193525682527235920915442070845449678617457632272113685265637124442043680848579635365703729250184652031923817970590850343981653096281677001084140449143734921947298740926034194747966948954160582187180815351587124950371598332334031681432189377078743576666860742074082785563294331145418222911019860040182029235730832189119697562740944182959479689721593704063682476836519452371854707975508330087760901960760537655294357706884341416985718121012093828226035664281123901275735689534569223428917231332799025750580011950520703482163387610141782347538699650307263900162571595531406296602348263702999211057244485892904504101836569117035473849980840376606045639286327780386935274086026243375695559897153311103546000539984471280340189813135098403223793129254550304165991774406363630117232964874506399645411535405680793297883202}
30843 3711227276917776456531241740109214305876359161251539368612377511762784479978377006800063: {61682,123356,1017357,1510621,2126373,2158030,2589636,2865237,3082900,3419133,3699480,3946112,4098661,4161915,4439376,4467305,4994298,5208073,5360766,5448237,5855230,6185373,7026276,7334446,7658493,7794677,8813662,8903801,9826157,10416453,10477780,11701653,12043973,12573336,12618933,13368502,13902117,14145003,14915428,15001053,15219646,15719893,16464957,17008621,17561877,18110013,19097860,19840996,19971677,20113085,22239766,22434776,22456990,22839502,22863305,22917432,23444701,24125253,24135702,24298030,25012036,25148077,25239123,25610285,25756324,25761237,25782111,25942893,26280142,26794573,26948388,27235156,27435966,27726473,28344280,28483557,29157636,29188393,29580541,29868181,30046575,30295437,30578422,30732342,31743213,31887315,31924077,32049680,32627860,33265613,33492430,34013136,34092573,35593635,35654317,35731480,36055890,36589097,36840388,37338837,37543060,37614382,37966544,38264778,38459616,39153432,39153661,39797476,40190916,40197915,40936677,41143453,41398693,42373375,42668830,42677341,42712362,42877776,42932585,43267068,43683460,44047611,45001822,45051672,45344662,45420477,46029046,46090264,47388597,47956798,48237498,48943933,49395742,49710813,50683131,50690653,50836996,50848050,51202596,51519102,51672597,51850797,51851547,52389262,52420152,52851155,52901885,53275533,54237920,54343077,54597046,55344238,55942773,56309302,56629861,56777422,56869693,58250013,58876846,58972671,58999673,59136333,59140990,59223305,59253901,59667837,60525493,60967630,61017660,61463955,62345272,63382317,63421386,63482262,63655108,63802462,65085504,65561552,65606821,65676453,65755780,67086213,67428046,67790517,68223305,68970646,69373797,69627382,69991222,70064446,70138431,70593262,70969188,71067966,71216536,71474681,72117097,72624280,73060557,73161156,73171375,73221192,73756746,74071861,74260942,74462253,74501885,74637357,75501650,75584693,76868233,76991691,77086293,77704841,77995780,78100815,78274861,78906936,79181637,79242397,79807493,80118603,80428997,80441860,80689102,81702315,81867966,81939382,82373841,82492197,83307536,84109780,84496846,84648430,84810388,85784182,85817428,86115305,86304142,86464990,86661573,87112501,87149136,87528453,87805650,88770303,89402262,89643382,89815021,89958377,90601980,91335597,91656775,92151493,92465957,92519427,93334942,93594936,93659360,93720978,93724030,93924717,94957117,95283821,96084868,96325780,96452053,96530232,96642112,96781385,97024533,98042778,98427197,99601773,99987460,...,1921408788596226736211793166910794469901918770828837200275842146908801455765430381641477114824465293684522977638158769454244353661332563882349770586298098532932008883831163497308286177842237594580916701906294467841010001814283238469303844067086658831236728160183597196037106469680763204357321654108839044486278700433793087733234056562887989849893348017897288156185890616624156663833907747697572319292895825486765497862411148381350599788355359856303801232240773177950732760789348210823373497030786612110759687385433663131516061420627758795519172448864339561471025923788537645036719777959444075731788230836919797401283853887333715609278333017368382412192030538284788721244761771336600693799480717948531753842870444883783753480512465013466381932126925607962952521934267447205532395081841856066035438372406091213203838704907986340001412308693169890120577326416125055482563587887475645949016716512339213462261710145955555414479965837367834499063326226544432045563291205730808300514215286463639070270539940240245474535329954606498876699945072384921087443646459558108216679475520905803880917725151616836808926001861868950291390539406889180259112901345599769359672364036897382394545713730753726571306865857428684293907422008512472204874287638807337486025147076995412107822989026410717097285532718867011099707708104245294134068667699135441330444468681856022049903941494472304447227704388333727610200081890696305795338767944130235618091574449812528415468602620131593525508707530860034671182696301684084492629876862306448353912690229744245154062289869126684490736705426594542578831577625057414758077435088713366621029888348592481518473122404334052023081172446127232841826540237253265426271572861050663021422809838897500090417217921453440180201394714072291636622762131017832424395999308475604331620230160563596291032646084646807516484409615844328826936368054174784211546073652206899593399603908775970424072113642731437567377786283796937987735525739339655551696503092280994229482611837989838723165821848310713724267499225640297409658647486579397122195819604971125239478038486320716109246150990369476135778188636872848359619967915308739102850861379901449794494987072830980660342552529530134056600851157862615492704386621118188479904670477092167738512643407589925865670564877373751940160257310337230400855318890797148110799899856297694396266209727686401945603173565813517214871642697814639829010918776544998533624425049383036194031740468770173749073280022593538954148678451756662707333780985101136854517304828637032821954060855151300954881987485681287946659766676435445669414388501523381560214222874369449539162323096128856917984238912271539487375013621961224488806327124979809591246452279725044186745142090864561717563342939014534626965360914727347138733433786372853971769271250682898551307377102221737036691400322884397520096515152646475688021398571558694257682541052230930609978534622002464273066107383156723427519223993385775133853207971130622458919789837695523045707870047301740356135518503839548875764758762078857371384795151046035858618823709971785159208329422964190584473505945798972041680869278351057431220815496854147863975945688408592784124922480989649450639419036770372720034499803139808209966604228497925956969840737420254178784837811479690342259502557927336849116733592469906425146234284959820129525770327870908543343231492550271343553422840356123333433238798006308818493570297703636347305964232016988690471909821565212716522032379707864011738138169092738739187589293460545121073967605506106140973746162446722470280200919543440774538337497453216271913013345611945372700922315990472062395672992447484730308598284273753552431519058330825986649712443984054263775131066473669920812107795042030323466415187515518320755089468469341042845256202276084498549392780964656013679754259167979540932015106267527326143752850106541800732730200830046847424181293178874749758044592224673622990282396453070160134096705937831550498871511177543923528439008460871779888696993310107800805166303098256909485437670097896478785826760102464103876289915991923338622385296893065583549052137711512353012278899896031743428034790288523790853881373163106268174517926186448408170527898455686663065521272869453048555593875276978047885726955886275515972479644422515501626210673715602382920948111389051292121950423431240873280771223027380687425557397498501047522148284065618115365000291113111124178344941496718127334366529790060273043853596248283679546344111416274439219534582390556095523715254779178557782061963262495131641352941140806482941536560326512125478577181518140742339053496421685851913603534301853835143375846999198538625870017925781055223245081415212673521308049475460895850243857393297109444903522395554498816585866728839356756152754853675553210774971260564909068458929491670580402911129039365063543339845729966655319000809976706920510284719702647604835689693881825456248987661609545445175849447311759599468117303108521189946824803}
30844 3722596117365555191662117114285785505748299591639145742273534769954814824657857849195709: {92523,154195,185034,801554,1262923,1356476,2184883,2835164,3237045,3452848,3755282,3820316,3853625,3884454,4023403,4206859,4558844,4624350,4860554,4932640,5123059,5306083,5549220,5919168,6659064,7147688,7264316,7491447,7678843,8041149,8247164,8535434,8782845,9368368,10211324,10539414,10582459,10763323,11001669,11099282,11830514,12195914,12926282,13097225,13220493,13888604,15261523,15602204,15716670,15798283,16764448,16825244,17296394,18536156,18644285,18860004,19111154,19360123,19537459,19630429,20001404,20052753,20599963,21284114,21953276,22373142,22729874,22829469,23244883,23415836,23872325,23947459,24146684,24801245,26693834,28043470,28646790,29006683,29180059,29761494,30556576,31265045,31713674,32167004,32180936,32195405,32460523,32804323,33220726,33359649,33652164,33685485,34043945,34259253,34348316,34376148,34569482,34590524,35032003,35430350,35931184,36203553,36349682,36447045,36581288,37416074,37518054,37757059,37978076,38126282,38604859,38634486,38876848,39420213,39899282,40062100,40126363,40328981,40393916,40422582,40607474,40784825,40852734,40976456,41153949,42145963,42324284,42516420,42565436,42728594,43486603,43736454,44139794,44322163,44492234,44664350,45196682,45350848,45456764,45867633,46050485,46098513,46818043,46928825,47149603,47458180,47811859,48074520,48462557,48941790,49462459,49746845,49761554,49785116,50120683,50238645,51019704,51161234,51279488,51510794,52204576,52578763,52905283,52907594,53587888,53597220,54083835,54552113,54582236,54604325,55260582,56314590,56421573,56949816,56962483,57170368,57366358,57397167,57612830,57689424,58412059,58730148,59164682,59696214,60068896,60202994,60286374,60560636,61453123,61930634,62314469,63184796,63360403,63546245,63993859,64003245,64068543,64316664,64900602,64941883,65525190,65572459,66281084,66987043,67502733,67577508,67770403,67797400,68016993,68270128,68551963,68692136,68896796,69043569,69134396,69135396,69331723,69489482,69893536,70816097,71034044,71197682,71879954,71935197,72356247,72457436,72894094,72902282,74093613,74279563,74590364,74882093,75046003,75810643,76255494,76272075,76803894,77278653,77666684,77931590,78583893,78630228,78848444,79557116,79568885,79606843,80059363,80962459,81112723,81356880,81713059,81895569,81951940,82013558,82194725,82381514,83016357,84463953,84509756,84548923,84561848,84643016,85166133,85404434,85739594,86780672,87568604,88240723,88315269,88711485,89020670,89448284,89750282,90387356,90780350,91451445,91526490,92498396,93477859,93517908,93622003,94625584,94734482,94757288,95132079,95223393,95482662,95703693,97049354,97379474,97414076,97494725,97548208,97628256,98342328,98633670,99283004,99516476,...,2561878384794968981615724222547725959869225027771782933701122862545068607687240508855302819765953724912697303517545025938992471548443418509799694115064131377242678511774884663077714903789650126107888935875059290454680002419044317959071792089448878441648970880244796261382808626241017605809762205478452059315038267245057450310978742083850653133191130690529717541581187488832208885111876996930096425723861100649020663816548197841800799717807146475071734976321030903934310347719130947764497996041048816147679583180578217508688081894170345060692229931819119415294701231718050193382293037279258767642384307782559729868378471849778287479037777356491176549589374051046384961659682361782134258399307623931375671790493926511711671307349953351288509242835900810617270029245689929607376526775789141421380584496541454950938451606543981786668549744924226520160769768554833407310084783849967527932022288683118951283015613527940740552639954449823779332084434968725909394084388274307744400685620381951518760360719920320327299380439939475331835599926763179894783258195279410810955572634027874405174556966868822449078568002482491933721854052542518907012150535127466359146229818715863176526060951641004968761742487809904912391876562678016629606499050185076449981366862769327216143763985368547622796380710291822681466276944138993725512091556932180588440592624909141362733205255325963072596303605851111636813600109187595074393785023925506980824122099266416704553958136826842124700678276707813379561576928402245445990173169149741931138550253639658993538749719825502245987648940568792723438442103500076553010769913451617822161373184464789975357964163205778736030774896594836310455768720316337687235028763814734217361897079785196666787222957228604586906935192952096388848830349508023776565861332411300805775493640214084795054710194779529076688645879487792438435915157405566378948728098202942532791199471878367960565429484856975250089837048378395917316980700985786207402262004123041325639310149117319784964221095797747618299023332300853729879544863315439196162927759473294833652637384648427621478994867987159301514370918182497131146159957220411652137134481839868599725993316097107974213790070039373512075467801543816820656939182161490917973206227302789556984683524543453234487560753169831669253547009747116307201140425187729530814399866475063592528354946303581869260804231421084689619828856930419519772014558368726664711499233399177381592042320625026898332097706696791385272198237935675550276445041313468182472689739771516043762605414473535067939842649980908383928879688901913927559219184668697842080285630499159266052216430794838475890645651883028719316500018162614965985075102833306412788328603039633392248993522787819415623417790585352712835953814552969796184977911715163805295692361667577198068409836136295649382255200430512530026795353536861967584028531428744925676910054736307907479971379496003285697421476510875631236692298657847700178470943961507496611893053116927364060943826729735653808180691338452731834353011682771809828513060201394714478158431613295713545611105897285587445964674594398629388907825704468076574961087329138863818634594251211457045499896641319532600852558715693830293379333070853077613288805637997234609293120983227005571713117081972920456346003410569782465488978123293208566861645713279760172701027103827878057790975323400361791404563787141497777910985064008411757991427063604848463074618976022651587295879762086950288696043172943818682317517558790318318916785724614060161431956807341474854631661549928963293706934559391254366051116663270955029217351127482593830267896421320629416527563989929979640411464379031671403242025411107767982199616591978739018366841421964893227749477060056040431288553583354024427673452624625788057127008269701445998065857041286208018239672345557306054576020141690036434858337133475389067643640267773395796565575057571832999677392789632898163987043195270760213512128941250442067331828681570058564704585344614495706518262657746810401073555070797675879313916893463861971714435680136618805168386554655897784829847062524087444732069516948683137349705199861375657904046387051365054471841830884141690899357234915264544227370531274248884087361697159270731407458500369304063847635941181700687963306192563354002168280898287469843894597481852068389495933897908321164374361630703174249900743196664668063362864378754157487153333721484148165571126588662290836445822039720080364058471461664378239395125481888365918959379443187408127364953673038904743709415951016660175521803921521075310588715413768682833971436242024187656452071328562247802551471379069138446857834462665598051501160023901041406964326775220283564695077399300614527800325143191062812593204696527405998422114488971785809008203673138234070947699961680753212091278572655560773870548172052486751391119794306622207092001079968942560680379626270196806447586258509100608331983548812727260234465929749012799290823070811361586595766404}
30845 3733999584329863203735810162049898694789802779741298183456374806516209775148289566003472: {123364,246712,277551,1202331,1695595,2034714,3021242,3543955,4252746,4316060,4775395,5179272,5632923,5698555,5730474,5762779,5826681,6165800,6254227,6838266,6936525,7290831,7398960,7892224,8197322,8323830,8878752,8934610,9080395,9211891,9951307,9988596,10308955,10416146,10503823,10721532,10896474,11612731,11710460,12370746,12764155,12803151,13460911,14052552,14668892,15316986,15589354,15809121,16648923,17360755,17627324,17745771,17807602,17945323,18293871,19389423,19502755,19652314,20648683,20832906,20955560,21031555,23170195,23403306,23575005,23602891,24025903,24087946,24594019,25001755,25146672,25237866,25944591,26737004,27441595,27804234,28158319,28290006,28666731,29026483,29269795,29830856,30002106,30183355,30439292,30988411,31439786,31926171,32008627,32929914,33559713,34017242,34094811,35123754,35854399,36165679,36220026,37123699,38195720,38373931,39112483,39681992,39943354,40040751,40208755,40226170,41745391,42065205,42897679,42935395,42970185,43238155,44243023,44479532,44642241,44869552,44913980,45679004,45726610,45834864,46260379,46889402,47282731,47472595,47570511,48250506,48271404,48596060,49831089,50024072,50077625,50296154,50478246,50492395,51220570,51512648,51522474,51564222,51712603,51854223,51885786,52560284,52625227,52758259,52905355,52979179,53145525,53206795,53589146,53896776,54470312,54524523,54871932,54993103,55452946,56124111,56277081,56688560,56820955,56967114,57189423,57951729,58315272,58347883,58376786,59161082,59268739,59322725,59736362,59848923,60093150,60105619,60590874,60633873,60911211,61156844,61279101,61464684,62231395,63486426,63774630,63848154,64092891,64099360,64380943,65255720,65604681,65940811,66209691,66390379,66531226,66738351,66984860,66996525,67795023,68026272,68185146,68227795,68362219,71187270,71308634,71462960,72111780,72518107,73178194,73412685,73680776,73991617,74062639,74642331,74677674,75086120,75228764,75700795,75933088,76529556,76741851,76919232,76997491,77266191,78306864,78307322,78747859,78980995,79306387,79361391,79594952,79883467,80381832,80395830,81102043,81860899,81873354,82286906,82797386,82851355,82890873,82912627,84471885,84746750,85337660,85354682,85424724,85755552,85865170,86049537,86120995,86417995,86419245,86441179,86534136,86846587,87046579,87366920,88095222,88747023,88792555,89544321,90003644,90103344,90304491,90429561,90571795,90689324,90840954,91739731,92058092,92180528,92895951,93107179,93237955,93264907,94439323,94777194,95052451,95512627,95913596,96162403,96474996,97064827,97083355,97350903,97887866,98287785,98560555,98791484,99421626,99446395,99478339,...,3842817577192453472423586333821588939803837541657674400551684293817602911530860763282954229648930587369045955276317538908488707322665127764699541172596197065864017767662326994616572355684475189161833403812588935682020003628566476938607688134173317662473456320367194392074212939361526408714643308217678088972557400867586175466468113125775979699786696035794576312371781233248313327667815495395144638585791650973530995724822296762701199576710719712607602464481546355901465521578696421646746994061573224221519374770867326263032122841255517591038344897728679122942051847577075290073439555918888151463576461673839594802567707774667431218556666034736764824384061076569577442489523542673201387598961435897063507685740889767567506961024930026932763864253851215925905043868534894411064790163683712132070876744812182426407677409815972680002824617386339780241154652832250110965127175774951291898033433024678426924523420291911110828959931674735668998126652453088864091126582411461616601028430572927278140541079880480490949070659909212997753399890144769842174887292919116216433358951041811607761835450303233673617852003723737900582781078813778360518225802691199538719344728073794764789091427461507453142613731714857368587814844017024944409748575277614674972050294153990824215645978052821434194571065437734022199415416208490588268137335398270882660888937363712044099807882988944608894455408776667455220400163781392611590677535888260471236183148899625056830937205240263187051017415061720069342365392603368168985259753724612896707825380459488490308124579738253368981473410853189085157663155250114829516154870177426733242059776697184963036946244808668104046162344892254465683653080474506530852543145722101326042845619677795000180834435842906880360402789428144583273245524262035664848791998616951208663240460321127192582065292169293615032968819231688657653872736108349568423092147304413799186799207817551940848144227285462875134755572567593875975471051478679311103393006184561988458965223675979677446331643696621427448534998451280594819317294973158794244391639209942250478956076972641432218492301980738952271556377273745696719239935830617478205701722759802899588989974145661961320685105059060268113201702315725230985408773242236376959809340954184335477025286815179851731341129754747503880320514620674460801710637781594296221599799712595388792532419455372803891206347131627034429743285395629279658021837553089997067248850098766072388063480937540347498146560045187077908297356903513325414667561970202273709034609657274065643908121710302601909763974971362575893319533352870891338828777003046763120428445748738899078324646192257713835968477824543078974750027243922448977612654249959619182492904559450088373490284181729123435126685878029069253930721829454694277466867572745707943538542501365797102614754204443474073382800645768795040193030305292951376042797143117388515365082104461861219957069244004928546132214766313446855038447986771550267706415942261244917839579675391046091415740094603480712271037007679097751529517524157714742769590302092071717237647419943570318416658845928381168947011891597944083361738556702114862441630993708295727951891376817185568249844961979298901278838073540745440068999606279616419933208456995851913939681474840508357569675622959380684519005115854673698233467184939812850292468569919640259051540655741817086686462985100542687106845680712246666866477596012617636987140595407272694611928464033977380943819643130425433044064759415728023476276338185477478375178586921090242147935211012212281947492324893444940560401839086881549076674994906432543826026691223890745401844631980944124791345984894969460617196568547507104863038116661651973299424887968108527550262132947339841624215590084060646932830375031036641510178936938682085690512404552168997098785561929312027359508518335959081864030212535054652287505700213083601465460401660093694848362586357749499516089184449347245980564792906140320268193411875663100997743022355087847056878016921743559777393986620215601610332606196513818970875340195792957571653520204928207752579831983846677244770593786131167098104275423024706024557799792063486856069580577047581707762746326212536349035852372896816341055796911373326131042545738906097111187750553956095771453911772551031944959288845031003252421347431204765841896222778102584243900846862481746561542446054761374851114794997002095044296568131236230730000582226222248356689882993436254668733059580120546087707192496567359092688222832548878439069164781112191047430509558357115564123926524990263282705882281612965883073120653024250957154363036281484678106992843371703827207068603707670286751693998397077251740035851562110446490162830425347042616098950921791700487714786594218889807044791108997633171733457678713512305509707351106421549942521129818136917858983341160805822258078730127086679691459933310638001619953413841020569439405295209671379387763650912497975323219090890351698894623519198936234606217042379893649606}
30846 3745437782666739821541840198630083716443664193926645274992525455688633657583612085579334: {154205,185046,215873,308390,370068,524093,893693,1139933,1324529,1603108,2246429,2525846,2553329,2712952,2737373,3052071,4268273,4369766,4531863,4573853,4818173,5395075,5670328,6037853,6379119,6474090,6905696,7510564,7640632,7707250,7768908,8046806,8225213,8413718,8595711,8952029,9117688,9248700,9375473,9677693,9721108,9865280,10246118,10257399,10281533,10612166,10643453,10764029,11098440,11546993,11838336,12088253,12295983,12485745,12748913,13318128,13401915,13468529,13887773,14295376,14528632,14545793,14638075,14982894,15143153,15357686,15624219,15858929,16082298,16344711,16494328,17070868,17465213,17565690,17762033,17940029,18336115,18556119,18736736,19420529,19893233,20422648,20424413,21078828,21164918,21367133,21526646,21896513,22003338,22034155,22072829,22198564,22366529,22777373,22975479,23384031,23656433,23661028,24391828,25700573,25852564,25875329,26101999,26194450,26440986,26573633,26711403,27502913,27777208,27792893,28892993,29355329,29478471,30105533,30220829,30523046,31204408,31249359,31433340,31596566,32348033,32520029,33378929,33421255,33528896,33550493,33650488,34521329,34592788,34721743,35104959,35944829,36058493,36131919,37072312,37250033,37288570,37720008,37759613,37816193,37856799,38049115,38222308,38720246,38946113,39074918,39260858,40002808,40105506,40466429,41199926,41476733,41706351,41868929,42435009,42540353,42568228,42875633,43545329,43771063,43906552,43991153,44746284,45003159,45073567,45214529,45381053,45459748,45658433,45658938,46489766,46831672,47159679,47661523,47744650,47815133,47894918,48293368,48641393,49356029,49394871,49520753,49602490,49795133,50178929,51025863,51819329,51928433,52685631,52908929,53387668,54103793,54330039,55348829,55599415,56086940,56142475,57098755,57127793,57273931,57293580,57342833,57772529,58013366,58360118,58469693,58737473,59112029,59522988,59915031,60020033,60339255,60745075,61113152,61510529,62530090,63100529,63427348,64051073,64156529,64334008,64361872,64390810,64470679,64788593,64921046,64946429,65314433,65577053,65608646,65700355,65891933,66441452,66520829,66719298,66887153,67304328,67370970,67827329,68087890,68244353,68518506,68589915,68696632,68712893,68752296,69138964,69181048,69232733,69645583,69803633,70064006,70334103,70860700,71862368,71871473,72129053,72334973,72375759,72407106,72699364,72894090,73162576,73875293,74832148,75036108,75051329,75444231,75514118,75561329,75717369,75956152,76252564,76446055,76830855,77209718,77238653,77268972,77283711,77346333,77753696,77828679,77947613,78250973,78840426,79008113,79798564,80124200,80252726,80383719,80516993,80657962,80787832,80845164,81118529,81214948,81569650,81705468,81718913,81952912,82307898,82368029,82617329,83179419,83513153,83691751,83731075,84009713,84108929,84291926,84455933,84648568,85032840,85130872,85198193,85450671,85457188,85494593,85593329,86234333,86973206,87472908,87565179,88279588,88497019,88644326,88741623,88964743,88984468,89175293,89328700,89604543,90139725,90393364,90701696,90886311,90913528,91071473,91362113,91735266,92100970,92197026,92328833,93051773,93636086,93857650,94035955,94299206,94492253,94916360,95229639,95623718,95661945,95772231,96116093,96149040,96829553,96925114,97883580,97920029,98251073,98924918,99493690,99523108,99570232,99796839,...,5764226365788680208635379500732383409705756312486511600827526440726404367296291144924431344473395881053568932914476308362733060983997691647049311758894295598796026651493490491924858533526712783742750105718883403523030005442849715407911532201259976493710184480550791588111319409042289613071964962326517133458836101301379263199702169688663969549680044053691864468557671849872469991501723243092716957878687476460296493587233445144051799365066079568911403696722319533852198282368044632470120491092359836332279062156300989394548184261883276386557517346593018684413077771365612935110159333878332227195364692510759392203851561662001146827834999052105147236576091614854366163734285314009802081398442153845595261528611334651351260441537395040399145796380776823888857565802802341616597185245525568198106315117218273639611516114723959020004236926079509670361731979248375166447690763662426937847050149537017640386785130437866666243439897512103503497189978679633296136689873617192424901542645859390917210811619820720736423605989863819496630099835217154763262330939378674324650038426562717411642753175454850510426778005585606850874171618220667540777338704036799308079017092110692147183637141192261179713920597572286052881722266025537416614622862916422012458075441230986236323468967079232151291856598156601033299123124312735882402206003097406323991333406045568066149711824483416913341683113165001182830600245672088917386016303832390706854274723349437585246405807860394780576526122592580104013548088905052253477889630586919345061738070689232735462186869607380053472210116279783627736494732875172244274232305266140099863089665045777444555419367213002156069243517338381698525479620711759796278814718583151989064268429516692500271251653764360320540604184142216874909868286393053497273187997925426812994860690481690788873097938253940422549453228847532986480809104162524352634638220956620698780198811726327911272216340928194312702133358851390813963206577218018966655089509276842982688447835513969516169497465544932141172802497676920892228975942459738191366587458814913375718434115458962148327738452971108428407334565910618545078859903745926217308552584139704349383484961218492941981027657588590402169802553473587846478113159863354565439714011431276503215537930222769777597011694632121255820480771931011691202565956672391444332399699568893083188798629183059205836809520697440551644614928093443919487032756329634995600873275148149108582095221406310521247219840067780616862446035355269988122001342955303410563551914485911098465862182565453902864645962457043863839979300029306337008243165504570144680642668623108348617486969288386570753952716736814618462125040865883673466418981374939428773739356839175132560235426272593685152690028817043603880896082744182041416200301359118561915307813752048695653922131306665211110074200968653192560289545457939427064064195714676082773047623156692791829935603866007392819198322149470170282557671980157325401559623913391867376759369513086569137123610141905221068406555511518646627294276286236572114154385453138107575856471129915355477624988268892571753420517837396916125042607835053172293662446490562443591927837065225778352374767442968948351918257110311118160103499409419424629899812685493777870909522212260762536354513434439071026778507673782010547350200777409719275438702854879460388577310983612725630029694477650814030660268521068370000299716394018926455480710893110909041917892696050966071415729464695638149566097139123592035214414507278216217562767880381635363221902816518318422921238487340167410840602758630322323615012492359648815739040036835836118102766947971416187187018977342454190925794852821260657294557174992477959949137331952162791325393199421009762436323385126090970399245562546554962265268405408023128535768606828253495648178342893968041039262777503938622796045318802581978431258550319625402198190602490140542272543879536624249274133776674020868970847189359210480402290117813494651496614533532631770585317025382615339666090979930323402415498909294770728456313010293689436357480280307392311628869747975770015867155890679196750647156413134537059036836699688095230284104370865571372561644119489318804523553778559345224511583695367059989196563818608359145666781625830934143657180867658826547917438933267546504878632021146807148762844334167153876365851270293722619842313669082142062276672192495503142566444852196854346095000873339333372535034824490154382003099589370180819131560788744851038639032334248823317658603747171668286571145764337535673346185889787485394924058823422419448824609680979536376435731544554422227017160489265057555740810602905561505430127540997595615877610053777343165669735244245638020563924148426382687550731572179891328334710567186663496449757600186518070268458264561026659632324913781694727205376788475011741208733387118095190630019537189899965957002429930120761530854159107942814507069081645476368746962984828636335527548341935278798404351909325563569840474409}
30847 3756910817547919721624502425273676100948613902116812854579654336959352797734330723726964: {246728,277569,462585,493424,555102,2003885,2373833,2404662,3391190,3788769,4069428,4961537,6042484,6440753,6554649,6685553,6810557,7087910,7977977,8505492,8632120,9388205,9550790,9711135,10358544,11122049,11265846,11397110,11460948,11525558,11560875,11653362,12070209,12151385,12331600,12413609,12508454,12620577,12712553,13676532,13873050,14432537,14581662,14797920,15369177,15784448,15918249,16394644,16647660,17757504,17869220,17869817,18160790,18423782,19902614,19977192,20617910,20832292,21007646,21208109,21338585,21443064,21792948,22474341,23036529,23225462,23420920,24123447,24305057,24402989,24702689,24741492,25528310,25606302,26348535,26727833,26921822,27303857,27487433,27748205,28105104,28394249,29337784,29444177,29576285,30442409,30489785,30633972,31178708,31618242,31747377,32289969,32315705,32438273,33005007,33028013,33297846,34721510,35002457,35039057,35254648,35491542,35615204,35890646,36587742,36841673,38169437,38418233,38778846,39005510,39291675,39304628,39661479,40977713,41020409,41297366,41491193,41665812,41911120,42063110,42128237,42256697,42741257,43160489,43240985,45784569,46340390,46806612,46935713,47150010,47205782,47394849,47396537,47777885,48051806,48175892,49188038,50003510,50293344,50475732,50543609,50697257,51889182,52287209,53210285,53474008,53496857,53802977,54235169,54409133,54671357,54883190,55608468,55932855,56254553,56292257,56316638,56580012,56824685,57333462,58052966,58080369,58539590,58612377,58891287,58965113,59661712,60004212,60109553,60158259,60314477,60366710,60533417,60878584,61799889,61976822,62159897,62611757,62879572,63852342,64017254,64991849,65055089,65859828,66287777,66461633,66734585,67064393,67119426,68034484,68189622,68488407,68551937,68956589,69734649,70108675,70247508,70689353,71616975,71708798,71842377,72331358,72440052,74067497,74247398,74403735,74489513,76086569,76391440,76404833,76747862,78224966,78461357,79284185,79363984,79549337,79886708,80081502,80417510,80452340,81049649,83051815,83490782,84130410,84775793,85795358,85870790,85940370,86423705,86476310,87020049,87123953,87540177,88012313,88486046,88575875,88959064,89284482,89665937,89739104,89827960,90874205,91358008,91453220,91491593,91669728,92520758,93113273,93540185,93778804,93795135,94306973,94362617,94565462,94945190,95111489,95141022,95315705,95518913,95847869,96501012,96542808,96586215,97192120,97287353,97381569,98066609,98412969,99524753,99662178,99748205,...,7685635154384906944847172667643177879607675083315348801103368587635205823061721526565908459297861174738091910552635077816977414645330255529399082345192394131728035535324653989233144711368950378323666807625177871364040007257132953877215376268346635324946912640734388784148425878723052817429286616435356177945114801735172350932936226251551959399573392071589152624743562466496626655335630990790289277171583301947061991449644593525402399153421439425215204928963092711802931043157392843293493988123146448443038749541734652526064245682511035182076689795457358245884103695154150580146879111837776302927152923347679189605135415549334862437113332069473529648768122153139154884979047085346402775197922871794127015371481779535135013922049860053865527728507702431851810087737069788822129580327367424264141753489624364852815354819631945360005649234772679560482309305664500221930254351549902583796066866049356853849046840583822221657919863349471337996253304906177728182253164822923233202056861145854556281082159760960981898141319818425995506799780289539684349774585838232432866717902083623215523670900606467347235704007447475801165562157627556721036451605382399077438689456147589529578182854923014906285227463429714737175629688034049888819497150555229349944100588307981648431291956105642868389142130875468044398830832416981176536274670796541765321777874727424088199615765977889217788910817553334910440800327562785223181355071776520942472366297799250113661874410480526374102034830123440138684730785206736337970519507449225793415650760918976980616249159476506737962946821706378170315326310500229659032309740354853466484119553394369926073892489617336208092324689784508931367306160949013061705086291444202652085691239355590000361668871685813760720805578856289166546491048524071329697583997233902417326480920642254385164130584338587230065937638463377315307745472216699136846184294608827598373598415635103881696288454570925750269511145135187751950942102957358622206786012369123976917930447351959354892663287393242854897069996902561189638634589946317588488783278419884500957912153945282864436984603961477904543112754547491393438479871661234956411403445519605799177979948291323922641370210118120536226403404631450461970817546484472753919618681908368670954050573630359703462682259509495007760641029241348921603421275563188592443199599425190777585064838910745607782412694263254068859486570791258559316043675106179994134497700197532144776126961875080694996293120090374155816594713807026650829335123940404547418069219314548131287816243420605203819527949942725151786639066705741782677657554006093526240856891497477798156649292384515427671936955649086157949500054487844897955225308499919238364985809118900176746980568363458246870253371756058138507861443658909388554933735145491415887077085002731594205229508408886948146765601291537590080386060610585902752085594286234777030730164208923722439914138488009857092264429532626893710076895973543100535412831884522489835679159350782092182831480189206961424542074015358195503059035048315429485539180604184143434475294839887140636833317691856762337894023783195888166723477113404229724883261987416591455903782753634371136499689923958597802557676147081490880137999212559232839866416913991703827879362949681016715139351245918761369038010231709347396466934369879625700584937139839280518103081311483634173372925970201085374213691361424493333732955192025235273974281190814545389223856928067954761887639286260850866088129518831456046952552676370954956750357173842180484295870422024424563894984649786889881120803678173763098153349989812865087652053382447781490803689263961888249582691969789938921234393137095014209726076233323303946598849775936217055100524265894679683248431180168121293865660750062073283020357873877364171381024809104337994197571123858624054719017036671918163728060425070109304575011400426167202930920803320187389696725172715498999032178368898694491961129585812280640536386823751326201995486044710175694113756033843487119554787973240431203220665212393027637941750680391585915143307040409856415505159663967693354489541187572262334196208550846049412049115599584126973712139161154095163415525492652425072698071704745793632682111593822746652262085091477812194222375501107912191542907823545102063889918577690062006504842694862409531683792445556205168487801693724963493123084892109522749702229589994004190088593136262472461460001164452444496713379765986872509337466119160241092175414384993134718185376445665097756878138329562224382094861019116714231128247853049980526565411764563225931766146241306048501914308726072562969356213985686743407654414137207415340573503387996794154503480071703124220892980325660850694085232197901843583400975429573188437779614089582217995266343466915357427024611019414702212843099885042259636273835717966682321611644516157460254173359382919866621276003239906827682041138878810590419342758775527301824995950646438181780703397789247038397872469212434084759787299212}
30848 3768418794461777926833902968413865000512866365269063471820328685711364514188199668561257: {215887,308410,370092,431746,585751,616780,740136,832653,955327,1048186,1787386,2062327,2279866,2649058,3206216,3606993,4492858,4635247,5051692,5086785,5106658,5425904,5474746,6099151,6104142,6464407,7553105,8286367,8536546,8739532,9063726,9147706,9636346,10101127,10631865,10790150,11340656,11547751,12075706,12758238,12809767,12948180,13811392,13888687,14326185,15021128,15281264,15414500,15537816,16093612,16396087,16450426,16827436,16898769,17095665,17191422,17288337,17466367,17480043,17904058,18235376,18356287,18497400,18750946,18762681,19355386,19442216,19730560,19953607,20492236,20493305,20514798,20563066,20809575,21224332,21286906,21368551,21528058,21872493,22196880,22250551,22336525,22602847,22778887,23093986,23676672,24176506,24591966,24971490,25497826,25670561,25760551,26040365,26636256,26803830,26937058,27241185,27635673,27775546,28590752,28894927,29057264,29091586,29276150,29761447,29853921,29965788,30286306,30715372,30847817,30926865,31248438,31511469,31717858,32164596,32350207,32689422,32988656,34141736,34838193,34930426,35131380,35524066,35880058,36628807,36672230,36969151,37112238,37473472,37818751,38292465,38409453,38841058,38973385,39005167,39786466,40382733,40845296,40848826,42157656,42329836,42543247,42734266,42878551,43053292,43793026,44006676,44068310,44145658,44397128,44519005,44733058,45554746,45950958,46215751,46713847,46768062,46789757,47312866,47322056,47427363,47542567,48369487,48699751,48783656,49130785,49946769,50839447,51401146,51705128,51750658,51986551,52082265,52203998,52388900,52881972,53130127,53147266,53237313,53268761,53422806,53835969,54881613,55005826,55554416,55585786,57785986,57991207,58168269,58508265,58710658,58956942,60077551,60211066,60219865,60441658,61046092,61355407,61946049,61992607,62408816,62469751,62498718,62866680,63094665,63193132,63374113,63580567,64371847,64696066,64845751,65040058,65949007,66757858,66842510,67057792,67100986,67300976,67518967,67687373,69042658,69185576,69237607,69443486,69510585,70209918,70725015,70808673,71876551,71889658,72077709,72116986,72185647,72263838,73782057,74144624,74500066,74577140,74648047,75005265,75440016,75519226,75632386,75713598,76098230,76444616,77244151,77440492,77700127,77833773,77839181,77892226,78149836,78307087,78458647,78521716,78599465,79819447,79938257,80005616,80211012,80723407,80932858,82324785,82399852,82953466,83412702,83568847,83737858,84474957,84759151,84870018,85043105,85080706,85136456,85724749,85751266,86000193,86240551,87079449,87090658,87542126,87809385,87813104,87982306,88888927,89492568,90006318,90147134,90429058,90550065,90762106,90919496,91078087,91316866,91317876,91368751,91980497,92383807,92965233,92979532,93106687,93663344,94319358,95323046,95489300,95630266,95778513,95789836,95980207,96025881,96586736,97282786,97406167,97922737,98258287,98712058,98789742,98908433,98966407,99041506,99204980,99590266,99858385,...,11528452731577360417270759001464766819411512624973023201655052881452808734592582289848862688946791762107137865828952616725466121967995383294098623517788591197592053302986980983849717067053425567485500211437766807046060010885699430815823064402519952987420368961101583176222638818084579226143929924653034266917672202602758526399404339377327939099360088107383728937115343699744939983003446486185433915757374952920592987174466890288103598730132159137822807393444639067704396564736089264940240982184719672664558124312601978789096368523766552773115034693186037368826155542731225870220318667756664454390729385021518784407703123324002293655669998104210294473152183229708732327468570628019604162796884307691190523057222669302702520883074790080798291592761553647777715131605604683233194370491051136396212630234436547279223032229447918040008473852159019340723463958496750332895381527324853875694100299074035280773570260875733332486879795024207006994379957359266592273379747234384849803085291718781834421623239641441472847211979727638993260199670434309526524661878757348649300076853125434823285506350909701020853556011171213701748343236441335081554677408073598616158034184221384294367274282384522359427841195144572105763444532051074833229245725832844024916150882461972472646937934158464302583713196313202066598246248625471764804412006194812647982666812091136132299423648966833826683366226330002365661200491344177834772032607664781413708549446698875170492811615720789561153052245185160208027096177810104506955779261173838690123476141378465470924373739214760106944420232559567255472989465750344488548464610532280199726179330091554889110838734426004312138487034676763397050959241423519592557629437166303978128536859033385000542503307528720641081208368284433749819736572786106994546375995850853625989721380963381577746195876507880845098906457695065972961618208325048705269276441913241397560397623452655822544432681856388625404266717702781627926413154436037933310179018553685965376895671027939032338994931089864282345604995353841784457951884919476382733174917629826751436868230917924296655476905942216856814669131821237090157719807491852434617105168279408698766969922436985883962055315177180804339605106947175692956226319726709130879428022862553006431075860445539555194023389264242511640961543862023382405131913344782888664799399137786166377597258366118411673619041394881103289229856186887838974065512659269991201746550296298217164190442812621042494439680135561233724892070710539976244002685910606821127103828971822196931724365130907805729291924914087727679958600058612674016486331009140289361285337246216697234973938576773141507905433473629236924250081731767346932837962749878857547478713678350265120470852545187370305380057634087207761792165488364082832400602718237123830615627504097391307844262613330422220148401937306385120579090915878854128128391429352165546095246313385583659871207732014785638396644298940340565115343960314650803119247826783734753518739026173138274247220283810442136813111023037293254588552572473144228308770906276215151712942259830710955249976537785143506841035674793832250085215670106344587324892981124887183855674130451556704749534885937896703836514220622236320206998818838849259799625370987555741819044424521525072709026868878142053557015347564021094700401554819438550877405709758920777154621967225451260059388955301628061320537042136740000599432788037852910961421786221818083835785392101932142831458929391276299132194278247184070428829014556432435125535760763270726443805633036636845842476974680334821681205517260644647230024984719297631478080073671672236205533895942832374374037954684908381851589705642521314589114349984955919898274663904325582650786398842019524872646770252181940798491125093109924530536810816046257071537213656506991296356685787936082078525555007877245592090637605163956862517100639250804396381204980281084545087759073248498548267553348041737941694378718420960804580235626989302993229067065263541170634050765230679332181959860646804830997818589541456912626020587378872714960560614784623257739495951540031734311781358393501294312826269074118073673399376190460568208741731142745123288238978637609047107557118690449023167390734119978393127637216718291333563251661868287314361735317653095834877866535093009757264042293614297525688668334307752731702540587445239684627338164284124553344384991006285132889704393708692190001746678666745070069648980308764006199178740361638263121577489702077278064668497646635317207494343336573142291528675071346692371779574970789848117646844838897649219361959072752871463089108844454034320978530115111481621205811123010860255081995191231755220107554686331339470488491276041127848296852765375101463144359782656669421134373326992899515200373036140536916529122053319264649827563389454410753576950023482417466774236190381260039074379799931914004859860241523061708318215885629014138163290952737493925969657272671055096683870557596808703818651127139680948818}
30849 3779961819214277617299357695574166050149836214173757992970213540619309861143970859695837: {462615,493456,555138,647619,770975,925170,986848,1110204,1572279,2681079,2805439,3419799,3973587,4007770,4747666,4809324,6314615,6739287,6782380,7577538,7611799,7659987,8138856,8212119,9156213,9828071,9923074,10924415,12046319,12084968,12804819,12881506,13109298,13143487,13371106,13595589,13621114,13721559,14175820,14454519,15185879,15955954,16185225,16294787,17010984,17011939,17264240,18113559,18776410,19101580,19137357,19268125,19422270,20117015,20717088,21034295,22244098,22531692,22794220,22921896,23051116,23121750,23306724,24140418,24302770,24663200,24675639,24827218,25016908,25241154,25425106,25615295,25787133,26530415,26856087,27353064,27746100,28126419,28865074,29033079,29163324,29194087,29595840,29874019,30738354,30772197,30844599,30865319,31568896,31587439,31836498,31930359,32292087,32789288,33295320,34640979,35305807,35515008,35738440,35739634,36264759,36321580,36847564,36887949,37457235,37512287,38246739,38394215,38847487,39161299,39805228,39954384,40205745,40405587,41235820,41406799,41663319,41664584,41943599,42015292,42416218,42659959,42677170,42685699,42886128,43540159,43585896,43637379,43914225,44248787,44948682,45241987,45429459,46073058,46450924,46841840,46872657,47576787,48246894,48610114,48805978,49034133,49405378,49482984,50299271,51056620,51212604,52395639,52697070,52912295,53286099,53455666,53816615,53820087,53843644,54607714,54974866,55008345,55469479,55496410,55668357,56210208,56342627,56788498,56880787,58161487,58261587,58675568,58888354,59152570,59679699,60132739,60537379,60884818,60979570,61267944,61273239,62357416,63236484,63494754,64101399,64579938,64631410,64876546,65486125,65689539,66010014,66056026,66102465,66218487,66595692,66889039,67099587,68332119,68926437,69443020,70004914,70078114,70152093,70509296,70969299,70983084,71230408,71781292,73175484,73683346,74086339,74494399,76307615,76338874,76836466,76883287,77101719,77557692,77625987,78011020,78305997,78583350,78609256,78991415,79257919,79322958,79554559,79720899,79823087,80134209,81955426,82040818,82508739,82594732,82982386,83331624,83378679,83822240,84126220,84256474,84513394,85482514,86320978,86481970,86678979,88065987,88435413,90316599,90662487,91569138,92680780,93221425,93428419,93613224,93748077,93871426,94300020,94411564,94451687,94789698,94793074,95302439,95555770,96103612,96351784,96701039,96800615,97044099,97560087,97687295,98152145,98376076,...,17292679097366040625906138502197150229117268937459534802482579322179213101888873434773294033420187643160706798743428925088199182951993074941147935276682886796388079954480471475774575600580138351228250317156650210569090016328549146223734596603779929481130553441652374764333958227126868839215894886979551400376508303904137789599106509065991908649040132161075593405673015549617409974505169729278150873636062429380889480761700335432155398095198238706734211090166958601556594847104133897410361473277079508996837186468902968183644552785649829159672552039779056053239233314096838805330478001634996681586094077532278176611554684986003440483504997156315441709728274844563098491202855942029406244195326461536785784585834003954053781324612185121197437389142330471666572697408407024849791555736576704594318945351654820918834548344171877060012710778238529011085195937745125499343072290987280813541150448611052921160355391313599998730319692536310510491569936038899888410069620851577274704627937578172751632434859462162209270817969591458489890299505651464289786992818136022973950115279688152234928259526364551531280334016756820552622514854662002622332016112110397924237051276332076441550911423576783539141761792716858158645166798076612249843868588749266037374226323692958708970406901237696453875569794469803099897369372938207647206618009292218971974000218136704198449135473450250740025049339495003548491800737016266752158048911497172120562824170048312755739217423581184341729578367777740312040644266715156760433668891760758035185214212067698206386560608822140160416630348839350883209484198625516732822696915798420299589268995137332333666258101639006468207730552015145095576438862135279388836444155749455967192805288550077500813754961293080961621812552426650624729604859179160491819563993776280438984582071445072366619293814761821267648359686542598959442427312487573057903914662869862096340596435178983733816649022784582938106400076554172441889619731654056899965268527830528948065343506541908548508492396634796423518407493030762676686927827379214574099762376444740127155302346376886444983215358913325285222003697731855635236579711237778651925657752419113048150454883655478825943082972765771206509407660420763539434339479590063696319142034293829509646613790668309332791035083896363767461442315793035073607697870017174332997199098706679249566395887549177617510428562092321654933844784280331758461098268988904986802619825444447325746285664218931563741659520203341850587338106065809964366004028865910231690655743457733295397586547696361708593937887371131591519937900087919011024729496513710434041928005869325045852460907865159712261858150210443855386375122597651020399256944124818286321218070517525397680706278817781055458070086451130811642688248232546124248600904077355685745923441256146086961766393919995633330222602905959577680868636373818281192192587144028248319142869470078375489806811598022178457594966448410510847673015940471976204678871740175602130278108539259707411370830425715663205219666534555939881882828858709716342463156359414322727569413389746066432874964806677715260261553512190748375127823505159516880987339471687330775783511195677335057124302328906845055754771330933354480310498228258273889699438056481333612728566636782287609063540303317213080335523021346031642050602332229157826316108564638381165731932950838176890089083432952442091980805563205110000899149182056779366442132679332727125753678088152898214247188394086914448698291417370776105643243521834648652688303641144906089665708449554955268763715462020502232521808275890966970845037477078946447217120110507508354308300843914248561561056932027362572777384558463781971883671524977433879847411995856488373976179598263029287308970155378272911197736687639664886795805216224069385607305820484760486944535028681904123117788332511815868388135956407745935293775650958876206594571807470421626817631638609872747822401330022062606912541568077631441206870353440483954489843600597895311755951076147846018998272939790970207246496727884312185368939030881068309072440840922176934886609243927310047601467672037590251941469239403611177110510099064285690852313112596714117684932358467956413570661335678035673534751086101179967589691455825077437000344877492802430971542602976479643752316799802639514635896063440421446288533002501461629097553810881167859526941007246426186830016577486509427699334556590563038285002620018000117605104473470463146009298768110542457394682366234553115917097002746469952975811241515004859713437293012607020038557669362456184772176470267258346473829042938609129307194633663266681051481467795172667222431808716684516290382622992786847632830161332029497009205732736914061691772445279148062652194716539673985004131701559990489349272800559554210805374793683079978896974741345084181616130365425035223626200161354285571890058611569699897871007289790362284592562477323828443521207244936429106240888954485909006582645025805836395213055727976690709521423227}
30850 3791539997929920762146904795115781702404210249843127605373063186408503989446110403741762: {339229,431774,616820,740184,832707,863492,1171502,1233560,1263169,1387755,1447741,1480272,1665306,1910654,2096372,3574772,4124654,4207681,4559732,5298116,5307121,5490109,6011655,6412432,7121499,7213986,7862401,8477975,8953201,8985716,9270494,9497629,10103384,10173570,10213316,10574347,10765441,10851808,10946269,10949492,11366307,11668861,12198302,12208284,12210049,12750589,12928814,14009329,14884611,15106210,15264541,15443569,16572734,16873201,17073092,17479064,17719775,18127452,18295412,19272692,19322259,19541341,19663947,19718641,20056659,20202254,20431671,21263730,21580300,22681312,22897729,23095502,23876975,23933931,24151412,24653809,25179229,25516476,25619534,25896360,27622784,27777374,27796609,28164615,28492775,28652370,28690627,28813895,29012509,29133405,29185921,29359261,30042256,30224881,30562528,30743389,30829000,31075632,31271135,31606129,32187224,32467069,32639041,32792174,32900852,32982769,33366147,33654872,33797538,34191330,34382844,34576674,34682625,34932734,34960086,35039089,35209981,35808116,36063361,36210627,36454155,36456511,36470752,36712574,36994800,37240827,37501892,37525362,37764721,37861731,37934461,38137659,38710772,38884432,38951389,39461120,39907214,40303261,40984472,40986610,41017427,41029596,41126132,41619150,41986621,42322429,42448664,42573812,42657949,42737102,43056116,43297611,43662781,43744986,44331229,44393760,44501102,44665021,44673050,45205694,45401975,45498241,45557774,46059455,46107531,46187972,46993501,47324989,47353344,47754747,48353012,49183932,49472641,49756535,49942980,50131009,50995652,51341122,51521102,51544775,51935581,52080730,52519115,52916221,53272512,53607660,53609451,53874116,54219709,54482370,54562739,54707329,55032049,55271346,55551092,56328049,57135709,57181504,57789854,58063655,58114528,58183172,58552300,59522894,59707842,59931576,60348349,60572612,61430744,61695634,61784641,61853730,62326607,62496876,63022938,63215101,63435716,63624327,63820775,64015755,64165501,64329192,64700414,65378844,65901169,65977312,66530161,67001149,67158001,67304555,67423023,68283472,68566429,68722561,68783099,69109587,69346369,69502141,69676386,69860852,70262760,70829891,71048132,71675389,71760116,71984701,72370341,72915171,73208967,73257614,73344460,73938302,73988209,74108067,74224476,74896679,74946944,75637502,75673981,75979549,76584930,76818906,77046769,77351041,77682116,77946770,78010334,79019389,79045605,79572932,80183499,80765466,80979841,81130141,81280369,81690592,81697652,81911571,82462299,82479601,83244615,83525149,84121021,84307811,84315312,84567169,84659672,85086494,85182747,85468532,85605661,85757102,86106584,86803775,87586052,88013352,88136620,88291316,88332531,88553341,88728855,88794256,89038010,89466116,89726615,90890749,91109492,91327227,91469355,91472221,91901916,92431502,92631709,93427694,93536124,93579514,93642481,94625732,94644112,94854726,95085134,95242131,96738974,96869907,96947115,97314819,97399502,97513775,97567312,98261570,99015021,99084039,99491869,99774109,99893538,...,23056905463154720834541518002929533638823025249946046403310105762905617469185164579697725377893583524214275731657905233450932243935990766588197247035577182395184106605973961967699434134106851134971000422875533614092120021771398861631646128805039905974840737922203166352445277636169158452287859849306068533835344405205517052798808678754655878198720176214767457874230687399489879966006892972370867831514749905841185974348933780576207197460264318275645614786889278135408793129472178529880481964369439345329116248625203957578192737047533105546230069386372074737652311085462451740440637335513328908781458770043037568815406246648004587311339996208420588946304366459417464654937141256039208325593768615382381046114445338605405041766149580161596583185523107295555430263211209366466388740982102272792425260468873094558446064458895836080016947704318038681446927916993500665790763054649707751388200598148070561547140521751466664973759590048414013988759914718533184546759494468769699606170583437563668843246479282882945694423959455277986520399340868619053049323757514697298600153706250869646571012701819402041707112022342427403496686472882670163109354816147197232316068368442768588734548564769044718855682390289144211526889064102149666458491451665688049832301764923944945293875868316928605167426392626404133196492497250943529608824012389625295965333624182272264598847297933667653366732452660004731322400982688355669544065215329562827417098893397750340985623231441579122306104490370320416054192355620209013911558522347677380246952282756930941848747478429520213888840465119134510945978931500688977096929221064560399452358660183109778221677468852008624276974069353526794101918482847039185115258874332607956257073718066770001085006615057441282162416736568867499639473145572213989092751991701707251979442761926763155492391753015761690197812915390131945923236416650097410538552883826482795120795246905311645088865363712777250808533435405563255852826308872075866620358037107371930753791342055878064677989862179728564691209990707683568915903769838952765466349835259653502873736461835848593310953811884433713629338263642474180315439614983704869234210336558817397533939844873971767924110630354361608679210213894351385912452639453418261758856045725106012862151720891079110388046778528485023281923087724046764810263826689565777329598798275572332755194516732236823347238082789762206578459712373775677948131025318539982403493100592596434328380885625242084988879360271122467449784141421079952488005371821213642254207657943644393863448730261815611458583849828175455359917200117225348032972662018280578722570674492433394469947877153546283015810866947258473848500163463534693865675925499757715094957427356700530240941705090374740610760115268174415523584330976728165664801205436474247661231255008194782615688525226660844440296803874612770241158181831757708256256782858704331092190492626771167319742415464029571276793288597880681130230687920629301606238495653567469507037478052346276548494440567620884273626222046074586509177105144946288456617541812552430303425884519661421910499953075570287013682071349587664500170431340212689174649785962249774367711348260903113409499069771875793407673028441244472640413997637677698519599250741975111483638088849043050145418053737756284107114030695128042189400803109638877101754811419517841554309243934450902520118777910603256122641074084273480001198865576075705821922843572443636167671570784203864285662917858782552598264388556494368140857658029112864870251071521526541452887611266073273691684953949360669643362411034521289294460049969438595262956160147343344472411067791885664748748075909369816763703179411285042629178228699969911839796549327808651165301572797684039049745293540504363881596982250186219849061073621632092514143074427313013982592713371575872164157051110015754491184181275210327913725034201278501608792762409960562169090175518146496997096535106696083475883388757436841921609160471253978605986458134130527082341268101530461358664363919721293609661995637179082913825252041174757745429921121229569246515478991903080063468623562716787002588625652538148236147346798752380921136417483462285490246576477957275218094215114237380898046334781468239956786255274433436582667126503323736574628723470635306191669755733070186019514528084587228595051377336668615505463405081174890479369254676328568249106688769982012570265779408787417384380003493357333490140139297960617528012398357480723276526243154979404154556129336995293270634414988686673146284583057350142693384743559149941579696235293689677795298438723918145505742926178217688908068641957060230222963242411622246021720510163990382463510440215109372662678940976982552082255696593705530750202926288719565313338842268746653985799030400746072281073833058244106638529299655126778908821507153900046964834933548472380762520078148759599863828009719720483046123416636431771258028276326581905474987851939314545342110193367741115193617407637302254279361897636}
30851 3803153437052701580307162259425737048922028068476333560827962518437332145870246214233482: {30851,647661,771025,925230,986912,1079365,1110276,1295238,1541950,1757253,1850340,1973696,2220408,2497959,2620465,2865981,3144558,3730309,4468465,5362158,5610878,5699665,6186981,6622645,6839598,7796701,7947174,8015540,8840461,8906113,9495332,9618648,10505869,10820979,11232145,11614993,12536821,12629230,12766645,13463533,13478574,13564760,13686865,13905741,15155076,15223598,15260355,15294181,15319974,16233181,16277712,16424238,16972453,18297453,18312426,19393221,19656142,19846148,19976869,21341365,21848830,22659315,22679701,22869265,24090865,24092638,24169936,24859101,25609638,25763012,26218596,26286974,26742212,26975375,27191178,27242228,27443118,27733681,28081141,28163821,28351640,28909038,29448013,30189265,30303381,30371758,31895595,31911601,31911908,32370450,32589574,33274261,34021968,34023878,34496533,34528480,34643253,35861413,36227118,36598609,37130941,37142581,37552820,38193661,38203160,38274714,38429301,38536250,38844540,40234030,41126065,41434176,41666061,42068590,42906061,42978555,44488196,44760145,44836261,45063384,45588440,45843792,46102232,46243500,46269421,46613448,46682641,46877365,48280836,48388465,48605540,49188261,49326400,49351278,49654436,50033816,50226181,50482308,50696307,50850212,50974429,51230590,51286995,51407665,51574266,51865011,52294021,52399101,52440129,52635493,53060830,53217265,53712174,53751901,53820145,54706128,55003861,55068861,55492200,55892413,56252838,56288043,57730148,57734965,58066158,58326648,58388174,59191680,59280301,59444593,59748038,59860821,60371509,60441265,61476708,61479915,61544394,61689198,61730638,62428725,63137792,63174878,63672996,63744565,63860718,64105653,64393549,64584174,65578576,65617479,66296413,66403381,66586741,66590640,66751653,66834961,67009575,67342645,67808541,67942213,68336661,68375581,69281958,69438865,70611614,71030016,71378821,71476880,71479268,71493313,72529518,72643160,72728965,73190375,73695128,73775898,74077213,74914470,75024574,75343261,75715765,76493478,76788430,77011683,77281653,77694974,78121095,78322598,79294645,79610456,79908768,80411490,80811174,81723555,81876913,82471640,82813598,82907019,83326638,83329168,83887198,84030584,84832436,84989341,85319918,85354340,85371398,85772256,86684781,87080318,87171792,87274758,87326065,87828450,88459261,88497574,88810165,89284341,89561763,89700145,89897364,90174001,90483974,90858918,91680575,92146116,92490061,92543451,92780595,92901848,93683680,93745314,94457869,94534407,95123941,95153574,96493788,97050621,97083793,97102645,97220228,97611956,98068266,98112733,98810756,98965968,99466165,99497821,...,34585358194732081251812277004394300458234537874919069604965158644358426203777746869546588066840375286321413597486857850176398365903986149882295870553365773592776159908960942951549151201160276702456500634313300421138180032657098292447469193207559858962261106883304749528667916454253737678431789773959102800753016607808275579198213018131983817298080264322151186811346031099234819949010339458556301747272124858761778961523400670864310796190396477413468422180333917203113189694208267794820722946554159017993674372937805936367289105571299658319345104079558112106478466628193677610660956003269993363172188155064556353223109369972006880967009994312630883419456549689126196982405711884058812488390652923073571569171668007908107562649224370242394874778284660943333145394816814049699583111473153409188637890703309641837669096688343754120025421556477058022170391875490250998686144581974561627082300897222105842320710782627199997460639385072621020983139872077799776820139241703154549409255875156345503264869718924324418541635939182916979780599011302928579573985636272045947900230559376304469856519052729103062560668033513641105245029709324005244664032224220795848474102552664152883101822847153567078283523585433716317290333596153224499687737177498532074748452647385917417940813802475392907751139588939606199794738745876415294413236018584437943948000436273408396898270946900501480050098678990007096983601474032533504316097822994344241125648340096625511478434847162368683459156735555480624081288533430313520867337783521516070370428424135396412773121217644280320833260697678701766418968397251033465645393831596840599178537990274664667332516203278012936415461104030290191152877724270558777672888311498911934385610577100155001627509922586161923243625104853301249459209718358320983639127987552560877969164142890144733238587629523642535296719373085197918884854624975146115807829325739724192681192870357967467633298045569165876212800153108344883779239463308113799930537055661057896130687013083817097016984793269592847036814986061525353373855654758429148199524752889480254310604692753772889966430717826650570444007395463711270473159422475557303851315504838226096300909767310957651886165945531542413018815320841527078868678959180127392638284068587659019293227581336618665582070167792727534922884631586070147215395740034348665994398197413358499132791775098355235020857124184643309867689568560663516922196537977809973605239650888894651492571328437863127483319040406683701174676212131619928732008057731820463381311486915466590795173095392723417187875774742263183039875800175838022049458993027420868083856011738650091704921815730319424523716300420887710772750245195302040798513888249636572642436141035050795361412557635562110916140172902261623285376496465092248497201808154711371491846882512292173923532787839991266660445205811919155361737272747636562384385174288056496638285738940156750979613623196044356915189932896821021695346031880943952409357743480351204260556217078519414822741660851431326410439333069111879763765657717419432684926312718828645455138826779492132865749929613355430520523107024381496750255647010319033761974678943374661551567022391354670114248604657813690111509542661866708960620996456516547779398876112962667225457133273564575218127080606634426160671046042692063284101204664458315652632217129276762331463865901676353780178166865904884183961611126410220001798298364113558732884265358665454251507356176305796428494376788173828897396582834741552211286487043669297305376607282289812179331416899109910537527430924041004465043616551781933941690074954157892894434240221015016708616601687828497123122113864054725145554769116927563943767343049954867759694823991712976747952359196526058574617940310756545822395473375279329773591610432448138771214611640969520973889070057363808246235576665023631736776271912815491870587551301917752413189143614940843253635263277219745495644802660044125213825083136155262882413740706880967908979687201195790623511902152295692037996545879581940414492993455768624370737878061762136618144881681844353869773218487854620095202935344075180503882938478807222354221020198128571381704626225193428235369864716935912827141322671356071347069502172202359935179382911650154874000689754985604861943085205952959287504633599605279029271792126880842892577066005002923258195107621762335719053882014492852373660033154973018855398669113181126076570005240036000235210208946940926292018597536221084914789364732469106231834194005492939905951622483030009719426874586025214040077115338724912369544352940534516692947658085877218258614389267326533362102962935590345334444863617433369032580765245985573695265660322664058994018411465473828123383544890558296125304389433079347970008263403119980978698545601119108421610749587366159957793949482690168363232260730850070447252400322708571143780117223139399795742014579580724569185124954647656887042414489872858212481777908971818013165290051611672790426111455953381419042846454}
30852 3814802243347062838784314166526151155378530507057269355708928714550555486889905445000342: {339251,400907,678458,709067,863548,1233640,1324787,1387845,1480368,1665414,1726984,1942857,2185451,2312925,2343004,2431067,2467120,2526338,2737907,2775510,2895482,2960544,3330612,3821308,4192744,4269107,4574747,4716837,5002307,5551451,5856251,7149544,8043237,8249308,8415362,8416317,8953787,9119464,9558707,10019425,10259397,10596232,10614242,10946987,10980218,11669627,11869165,11920761,12023310,12811451,12824864,13650947,14010251,14070107,14242998,14427972,15724802,16955950,17906402,17943587,17971432,18121547,18540988,18943845,18995258,19365251,20206768,20217861,20347140,20426632,20605427,20841251,21148694,21530882,21665627,21703616,21892538,21898984,22077227,22253507,22370987,22732614,22835397,22899251,22979961,23337722,24396604,24416568,24420098,24636357,24713867,24807685,25180907,25501178,25857628,25880507,27468639,28018658,29014451,29484213,29769222,30212420,30399827,30529082,30803027,30887138,31263347,31665707,32203765,32469251,32526587,32773245,33145468,33427765,33557267,33746402,34052785,34146184,34958128,35041451,35439550,36138957,36236267,36254904,36590824,37823867,37937027,38414457,38545384,38644518,39010451,39082682,39327894,39430461,39437282,39889885,40113318,40339453,40404508,40786767,40863342,41164677,41204747,41485187,41877467,42045467,42527460,42660851,42716747,43160600,43363557,43721507,43779589,45362624,45390347,45557637,45795458,46191004,46332827,46830851,46941025,47051987,47383451,47753950,47867862,48302824,48475141,48555675,48884361,49307618,49530947,50134451,50189267,50358458,51032952,51035817,51239068,51792720,51993707,53137451,54277667,54340677,55245568,55554748,55593218,55610245,55846451,56329230,56385851,56978267,56985550,57304740,57381254,57412071,57515987,57627790,57804375,58025018,58266810,58371842,58718522,58749707,59391707,59872451,60084512,60351045,60352547,60449762,60756925,61125056,61151267,61470251,61486778,61658000,62068045,62151264,62542270,63102885,63113747,63212258,63562765,63589451,64374448,64483237,64934138,64960067,65170451,65278082,65485787,65584348,65801704,65958251,65965538,66691907,66732294,67309744,67595076,67998107,68382660,68765688,68883467,69153348,69351251,69365250,69659149,69818387,69865468,69920172,70078178,70419962,70957547,71616232,71989787,72126722,72162685,72421254,72908310,72913022,72941504,73425148,73526761,73989600,74026917,74300627,74481654,75003784,75050724,75271451,75529442,75723462,75730307,75868922,76275318,76747667,76845885,77052251,77356547,77361399,77421544,77768864,77902778,78570851,78922240,79377827,79591245,79814428,79830851,80568261,80606522,81286187,81289117,81968944,81973220,82034854,82059192,82252264,82784627,83238300,83580851,83708053,83973242,84379257,84644858,84771347,84897328,85068251,85147624,85315898,85474204,85513067,85759907,86112232,86252987,86499227,86595222,87099237,87325562,87489972,87580307,87582261,88514257,88662458,88787520,88999451,89002204,89330042,89346100,89349085,89622057,90217451,90411388,90803950,90945851,90996482,91115548,91236707,91478867,91962587,92118910,92215062,92316591,92375944,92533797,92595957,92638451,92686667,93987002,94226377,94649978,94706688,94762317,95509494,95517251,95791077,96706024,96876261,97420451,97657451,97941587,98367864,98414507,98945282,99513070,99828467,99885960,...,51878037292098121877718415506591450687351806812378604407447737966537639305666620304319882100260562929482120396230286775264597548855979224823443805830048660389164239863441414427323726801740415053684750951469950631707270048985647438671203789811339788443391660324957124293001874681380606517647684660938654201129524911712413368797319527197975725947120396483226780217019046648852229923515509187834452620908187288142668442285101006296466194285594716120202633270500875804669784541312401692231084419831238526990511559406708904550933658356949487479017656119337168159717699942290516415991434004904990044758282232596834529834664054958010321450514991468946325129184824533689295473608567826088218732585979384610357353757502011862161343973836555363592312167426991414999718092225221074549374667209730113782956836054964462756503645032515631180038132334715587033255587813235376498029216872961842440623451345833158763481066173940799996190959077608931531474709808116699665230208862554731824113883812734518254897304578386486627812453908774375469670898516954392869360978454408068921850345839064456704784778579093654593841002050270461657867544563986007866996048336331193772711153828996229324652734270730350617425285378150574475935500394229836749531605766247798112122678971078876126911220703713089361626709383409409299692108118814622941619854027876656915922000654410112595347406420350752220075148018485010645475402211048800256474146734491516361688472510144938267217652270743553025188735103333220936121932800145470281301006675282274105555642636203094619159681826466420481249891046518052649628452595876550198468090747395260898767806985411997000998774304917019404623191656045435286729316586405838166509332467248367901578415865650232502441264883879242884865437657279951874188814577537481475458691981328841316953746214335217099857881444285463802945079059627796878327281937462719173711743988609586289021789305536951201449947068353748814319200229662517325668859194962170699895805583491586844196030519625725645525477189904389270555222479092288030060783482137643722299287129334220381465907039130659334949646076739975855666011093195566905709739133713335955776973257257339144451364650966436477829248918297313619528222981262290618303018438770191088957426102881488528939841372004927998373105251689091302384326947379105220823093610051522998991597296120037748699187662647532852531285686276964964801534352840995275383294806966714960407859476333341977238856992656794691224978560610025551762014318197429893098012086597730695071967230373199886192759643089085125781813662113394774559813700263757033074188489541131302125784017607975137557382723595479136785574450631331566159125367792953061197770832374454858963654211552576193042118836453343166374210259353392434928064744697638372745802712232067057237770323768438260885299181759986899990667808717878733042605909121454843576577761432084744957428608410235126469420434794066535372784899345231532543019047821415928614036615220526806390834325617779122234112491277146989615658999603667819645648486576129149027389469078242968182708240169238199298624894420033145780784660536572245125383470515478550642962018415061992327350533587032005171372906986720535167264313992800063440931494684774821669098314169444000838185699910346862827190620909951639241006569064038094926151806996687473478948325693915143497195798852514530670267250298857326275942416689615330002697447546170338099326398037998181377261034264458694642741565182260743346094874252112328316929730565503945958064910923434718268997125348664865806291146386061506697565424827672900912535112431236839341651360331522525062924902531742745684683170796082087718332153675391345915651014574932301639542235987569465121928538794789087861926910466134818733593210062918994660387415648672208156821917461454281460833605086045712369353364997535447605164407869223237805881326952876628619783715422411264880452894915829618243467203990066187820737624704232894323620611060321451863469530801793685935267853228443538056994818819372910621739490183652936556106817092643204927217322522766530804659827731781930142804403016112770755824407718210833531331530297192857072556939337790142353054797075403869240711984007034107020604253258303539902769074367475232311001034632478407292914627808929438931256950399407918543907688190321264338865599007504384887292661432643503578580823021739278560490049732459528283098003669771689114855007860054000352815313420411389438027896304331627372184047098703659347751291008239409858927433724545014579140311879037821060115673008087368554316529410801775039421487128815827387921583900989800043154444403385518001667295426150053548871147868978360542898490483996088491027617198210742185075317335837444187956584149619021955012395104679971468047818401678662632416124381049239936690924224035252544848391096275105670878600484062856715670175834709099693613021869371086853777687431971485330563621734809287318722666863457727019747935077417509185639167183930072128564269681}
30853 3826486523898854996781634221571191493824392352726553486628154156488119472663474693350051: {30853,61702,1017687,1079435,1295322,1511111,1542050,1850460,1973824,2158730,2220552,2498121,2590476,2928755,3083900,3514506,3668651,3700680,3789507,3947392,4163265,4343223,4408547,4440816,4776635,4995918,5240930,5731962,6255851,6289116,7460618,7979531,8936930,9214283,9271703,9953891,10311635,10724316,11221756,11399330,12373962,12416027,12623043,13245290,13679196,14816243,15593402,15725003,15894348,15921363,16031080,16470327,17680922,17812226,17873303,18034965,18142967,18990664,19161611,19237296,20654051,21011738,21364497,21641958,22464290,23176235,23229986,23587203,23609027,25073642,25258460,25433925,25533290,26733047,26803283,26859603,26927066,26957148,27129520,27373730,27811482,28492887,29877911,30310152,30447196,30495755,30520710,30588362,30639948,30996467,31723041,32016971,32296323,32322035,32466362,32555424,32838807,32848476,33186803,33727211,33944906,34098921,35006583,35665907,36594906,36624852,36630147,37765525,38176883,38251767,38383907,38786442,39122651,39312284,39692296,39953738,41306651,41431835,41499287,42027987,42264971,42682730,43697660,44653833,45137963,45318630,45359402,45738530,45793623,46330707,46944887,47405783,48181730,48185276,48339872,48959843,49718202,50505635,50619603,50707163,51219276,51526024,51641003,52437192,52573948,53159325,53484424,53950750,54382356,54419747,54484456,54682043,54886236,55467362,56162282,56265527,56327642,56703280,56937131,57576491,57738755,57818076,57966777,58624023,58896026,58991841,59155923,59760851,60169977,60242507,60326243,60378530,60606762,60743516,61046051,61295013,62172023,62467991,62664203,63791190,63823202,63823816,64048835,64740900,65004563,65067827,65179148,65628311,66548522,67077527,67142531,67743851,68043936,68047756,68693187,68993066,69056960,69286506,69443435,70095203,71094551,71348147,71630925,71722826,71801793,71970731,72454236,72537011,72792263,73197218,73961427,74095991,74261882,74285162,74504171,75105640,75348203,75537687,76101467,76387322,76406320,76419767,76549428,76858602,77072500,77689080,78476723,79904291,80468060,80828951,81980435,82252130,82868352,83332122,83389827,84137180,84493845,84617771,85478325,85812122,85957110,86071881,86435051,86441685,87037527,87331835,87400215,87557763,88077783,88976392,89242391,89520290,89672522,89683463,90126768,90674643,91176880,91509491,91687584,91781435,92204464,92230167,92487000,92538842,93226896,93365282,93754730,93813405,94279703,94818387,94988087,95130167,96561672,96776930,97211080,97214411,97401207,97917123,98376522,98652800,98702556,98948307,99308872,99768035,...,69170716389464162503624554008788600916469075749838139209930317288716852407555493739093176133680750572642827194973715700352796731807972299764591741106731547185552319817921885903098302402320553404913001268626600842276360065314196584894938386415119717924522213766609499057335832908507475356863579547918205601506033215616551158396426036263967634596160528644302373622692062198469639898020678917112603494544249717523557923046801341728621592380792954826936844360667834406226379388416535589641445893108318035987348745875611872734578211142599316638690208159116224212956933256387355221321912006539986726344376310129112706446218739944013761934019988625261766838913099378252393964811423768117624976781305846147143138343336015816215125298448740484789749556569321886666290789633628099399166222946306818377275781406619283675338193376687508240050843112954116044340783750980501997372289163949123254164601794444211684641421565254399994921278770145242041966279744155599553640278483406309098818511750312691006529739437848648837083271878365833959561198022605857159147971272544091895800461118752608939713038105458206125121336067027282210490059418648010489328064448441591696948205105328305766203645694307134156567047170867432634580667192306448999375474354997064149496905294771834835881627604950785815502279177879212399589477491752830588826472037168875887896000872546816793796541893801002960100197357980014193967202948065067008632195645988688482251296680193251022956869694324737366918313471110961248162577066860627041734675567043032140740856848270792825546242435288560641666521395357403532837936794502066931290787663193681198357075980549329334665032406556025872830922208060580382305755448541117555345776622997823868771221154200310003255019845172323846487250209706602498918419436716641967278255975105121755938328285780289466477175259047285070593438746170395837769709249950292231615658651479448385362385740715934935266596091138331752425600306216689767558478926616227599861074111322115792261374026167634194033969586539185694073629972123050706747711309516858296399049505778960508621209385507545779932861435653301140888014790927422540946318844951114607702631009676452192601819534621915303772331891063084826037630641683054157737357918360254785276568137175318038586455162673237331164140335585455069845769263172140294430791480068697331988796394826716998265583550196710470041714248369286619735379137121327033844393075955619947210479301777789302985142656875726254966638080813367402349352424263239857464016115463640926762622973830933181590346190785446834375751549484526366079751600351676044098917986054841736167712023477300183409843631460638849047432600841775421545500490390604081597027776499273145284872282070101590722825115271124221832280345804523246570752992930184496994403616309422742983693765024584347847065575679982533320890411623838310723474545495273124768770348576112993276571477880313501959227246392088713830379865793642043390692063761887904818715486960702408521112434157038829645483321702862652820878666138223759527531315434838865369852625437657290910277653558984265731499859226710861041046214048762993500511294020638067523949357886749323103134044782709340228497209315627380223019085323733417921241992913033095558797752225925334450914266547129150436254161213268852321342092085384126568202409328916631305264434258553524662927731803352707560356333731809768367923222252820440003596596728227117465768530717330908503014712352611592856988753576347657794793165669483104422572974087338594610753214564579624358662833798219821075054861848082008930087233103563867883380149908315785788868480442030033417233203375656994246244227728109450291109538233855127887534686099909735519389647983425953495904718393052117149235880621513091644790946750558659547183220864896277542429223281939041947778140114727616492471153330047263473552543825630983741175102603835504826378287229881686507270526554439490991289605320088250427650166272310525764827481413761935817959374402391581247023804304591384075993091759163880828985986911537248741475756123524273236289763363688707739546436975709240190405870688150361007765876957614444708442040396257142763409252450386856470739729433871825654282645342712142694139004344404719870358765823300309748001379509971209723886170411905918575009267199210558058543584253761685785154132010005846516390215243524671438107764028985704747320066309946037710797338226362252153140010480072000470420417893881852584037195072442169829578729464938212463668388010985879811903244966060019438853749172050428080154230677449824739088705881069033385895316171754436517228778534653066724205925871180690668889727234866738065161530491971147390531320645328117988036822930947656246767089781116592250608778866158695940016526806239961957397091202238216843221499174732319915587898965380336726464521461700140894504800645417142287560234446278799591484029159161449138370249909295313774084828979745716424963555817943636026330580103223345580852222911906762838085692908}
30854 3838206386116298204103651606103789557448707937278139510791767978994405153120935505048482: {92553,400933,678502,801814,1140229,1356916,1418134,1727096,1942983,2247013,2313075,2467280,2649574,2775690,2960736,2983429,3238095,3330828,3453968,3854875,3885714,3902329,4370902,4625850,4636153,4686008,4819429,4862134,4934240,5052676,5271759,5475814,5551020,5790964,5917573,5921088,6465673,6661224,6830713,7493877,7642616,7861395,8385488,8469829,8538214,8597943,9149494,9433674,10004614,10284229,11102902,11190927,11712502,13405395,14027195,14071033,14299088,14788729,16086474,16399333,16498616,16577929,16616831,16830724,16832634,17098995,17907574,18182053,18238928,18537733,18560943,19070713,19117414,19425673,19867935,20038850,20311813,20518794,21192464,21228484,21893974,21960436,22607353,22783429,23339254,23390103,23738330,23841522,24046620,25622902,25649728,26521383,26718339,27161929,27301894,28020502,28032229,28140214,28485996,28855944,29594233,30459493,31322953,31449604,31517607,31573075,32462937,32528773,33696435,33911900,34730759,34758793,34844979,35812804,35887174,35942864,35954533,36243094,37081976,37610463,37887690,37990516,38058995,38299935,38730502,39182329,40390599,40413536,40435722,40694280,40702213,40853264,41060595,41210854,41682502,41717223,42297388,42719653,43061764,43222393,43331254,43407232,43785076,43797968,44154454,44507014,44741974,45085271,45226873,45465228,45670794,45781065,45798502,45882543,45892729,45959922,46675444,46798871,47673899,48544633,48699543,48793208,48833136,48840196,49140355,49272714,49427734,49615370,50192713,50361814,50917359,51002356,51014053,51669829,51715256,51761014,53141113,54622075,54892359,54937278,55845839,55904293,56037316,57288803,57358729,58003273,58028902,58164229,58179663,58968426,59538444,59929993,59930607,60231595,60424840,60799654,61058164,61208713,61527673,61606054,61774276,62526694,63331414,64024095,64385353,64407530,64938502,65053174,65175013,65546490,65717435,66290936,66748933,66855530,67114534,67492804,67689829,67977945,68039103,68105570,68292368,68607795,69916256,70030729,70082902,70879100,70962553,72272595,72277914,72355429,72472534,72509808,73181648,74577303,75276793,75647734,75874054,75929395,76803913,76828914,77090768,77289036,77716729,77854343,78020902,78165364,78475429,78626953,78655788,78860922,78874564,79779770,79987429,80226636,80678906,80740729,80809016,80926125,81473935,81573534,81726684,82329354,82391653,82409494,82840393,82970374,83201043,83754934,84090934,84243423,84480229,84491463,85054920,85059695,85074373,85321702,85433494,85741447,86321200,86554693,86727114,86895263,87443014,87559178,87586633,88027813,88344039,88987871,90223993,90567795,90725248,90780694,90910143,91115274,91243333,91590916,92382008,92665654,92693413,93661702,93882050,94103974,94711429,94766902,95507900,95686785,95734803,95735724,96144229,96340625,96605648,96950282,97111350,97427593,97711993,97768722,97941811,98421733,98615236,98927699,99061894,99129673,99822783,...,103756074584196243755436831013182901374703613624757208814895475933075278611333240608639764200521125858964240792460573550529195097711958449646887611660097320778328479726882828854647453603480830107369501902939901263414540097971294877342407579622679576886783320649914248586003749362761213035295369321877308402259049823424826737594639054395951451894240792966453560434038093297704459847031018375668905241816374576285336884570202012592932388571189432240405266541001751609339569082624803384462168839662477053981023118813417809101867316713898974958035312238674336319435399884581032831982868009809980089516564465193669059669328109916020642901029982937892650258369649067378590947217135652176437465171958769220714707515004023724322687947673110727184624334853982829999436184450442149098749334419460227565913672109928925513007290065031262360076264669431174066511175626470752996058433745923684881246902691666317526962132347881599992381918155217863062949419616233399330460417725109463648227767625469036509794609156772973255624907817548750939341797033908785738721956908816137843700691678128913409569557158187309187682004100540923315735089127972015733992096672662387545422307657992458649305468541460701234850570756301148951871000788459673499063211532495596224245357942157752253822441407426178723253418766818818599384216237629245883239708055753313831844001308820225190694812840701504440150296036970021290950804422097600512948293468983032723376945020289876534435304541487106050377470206666441872243865600290940562602013350564548211111285272406189238319363652932840962499782093036105299256905191753100396936181494790521797535613970823994001997548609834038809246383312090870573458633172811676333018664934496735803156831731300465004882529767758485769730875314559903748377629155074962950917383962657682633907492428670434199715762888570927605890158119255593756654563874925438347423487977219172578043578611073902402899894136707497628638400459325034651337718389924341399791611166983173688392061039251451291050954379808778541110444958184576060121566964275287444598574258668440762931814078261318669899292153479951711332022186391133811419478267426671911553946514514678288902729301932872955658497836594627239056445962524581236606036877540382177914852205762977057879682744009855996746210503378182604768653894758210441646187220103045997983194592240075497398375325295065705062571372553929929603068705681990550766589613933429920815718952666683954477713985313589382449957121220051103524028636394859786196024173195461390143934460746399772385519286178170251563627324226789549119627400527514066148376979082262604251568035215950275114765447190958273571148901262663132318250735585906122395541664748909717927308423105152386084237672906686332748420518706784869856129489395276745491605424464134114475540647536876521770598363519973799981335617435757466085211818242909687153155522864169489914857216820470252938840869588133070745569798690463065086038095642831857228073230441053612781668651235558244468224982554293979231317999207335639291296973152258298054778938156485936365416480338476398597249788840066291561569321073144490250766941030957101285924036830123984654701067174064010342745813973441070334528627985600126881862989369549643338196628338888001676371399820693725654381241819903278482013138128076189852303613993374946957896651387830286994391597705029061340534500597714652551884833379230660005394895092340676198652796075996362754522068528917389285483130364521486692189748504224656633859461131007891916129821846869436537994250697329731612582292772123013395130849655345801825070224862473678683302720663045050125849805063485491369366341592164175436664307350782691831302029149864603279084471975138930243857077589578175723853820932269637467186420125837989320774831297344416313643834922908562921667210172091424738706729995070895210328815738446475611762653905753257239567430844822529760905789831659236486934407980132375641475249408465788647241222120642903726939061603587371870535706456887076113989637638745821243478980367305873112213634185286409854434645045533061609319655463563860285608806032225541511648815436421667062663060594385714145113878675580284706109594150807738481423968014068214041208506516607079805538148734950464622002069264956814585829255617858877862513900798815837087815376380642528677731198015008769774585322865287007157161646043478557120980099464919056566196007339543378229710015720108000705630626840822778876055792608663254744368094197407318695502582016478819717854867449090029158280623758075642120231346016174737108633058821603550078842974257631654775843167801979600086308888806771036003334590852300107097742295737956721085796980967992176982055234396421484370150634671674888375913168299238043910024790209359942936095636803357325264832248762098479873381848448070505089696782192550211341757200968125713431340351669418199387226043738742173707555374863942970661127243469618574637445333726915454039495870154835018371278334367860144257128539362}
30855 3849961937730947162279832998688385209143445821241307637483544564667152430499228390439885: {61706,123404,1017753,1202721,1511209,1696145,2035374,2127201,2158870,2590644,3022222,3084100,3700920,3947648,3974361,4100257,4163535,4317460,4441104,4996242,5180952,5210101,5828571,5857510,6167800,6315845,6556353,6687289,6938775,7029012,7238705,7293201,7337302,7401360,7579014,7894784,8213721,8326530,8686446,8817094,8881632,9553270,9991836,10481860,11124937,11463924,12511702,12578232,12807321,13724241,13892153,14150511,14436289,14921236,15006921,15188837,15959062,16297961,16654353,17568753,17873860,18428566,18543406,19907782,20545601,20623270,21038405,21448632,22443512,22798660,24033713,24129711,24409333,24747924,24832054,25246086,25248951,26490580,26535605,26861361,27358392,27450545,28676121,29632486,30058275,30778191,31186804,31450006,31593601,31788696,31842726,32062160,32446729,32840961,32940654,35008881,35361844,35607495,35624452,35746606,35762283,36069930,36285934,37981328,38323222,38434353,38474592,39312005,40952841,41031073,41308102,41758961,42023476,42030753,42139189,42210321,42389875,42668281,42694057,42728994,43283916,44257433,44766005,44928580,45250849,46166257,46275449,46352470,46459972,47174406,47218054,47298101,47488145,50147284,50516920,50867850,51066580,51729413,52871735,53466094,53606566,53719206,53827205,53830761,53854132,53914296,54259040,54364641,54731345,54747460,55480321,55622964,56353649,56831535,56985774,58004569,58095753,58172833,58344305,58366913,59755822,60620304,60653583,60894392,60991510,61041420,61050245,61176724,61279896,61816281,61992934,62523753,63446082,63635617,63752945,63882289,64033942,64592646,64644070,64932724,64996881,65110848,65677614,65696952,66231681,66373606,66760521,67112961,67454422,67889812,68197842,68384489,68506191,68697753,68939883,69418549,70013166,70046645,70707889,71331814,72145333,73189812,73249704,73260294,73909071,74141601,74423055,75531050,75542721,76322705,76353766,76503534,76767814,76898341,77217845,77572884,77641521,77735237,78245302,78624568,79273441,79384592,79907476,80834257,81070777,82405917,82613302,82863670,82998574,84020833,84055974,84366005,84467273,84529942,85365460,87043353,87074969,87395320,88452639,88598875,89307666,89668369,90275926,90637260,90718804,91199481,91477060,91587246,92396089,92409081,92661414,93790041,93889774,94811566,94997121,96363460,96370552,96611295,96679744,97220809,97407753,97579761,97706705,97919686,98319735,98593205,99436404,...,155634111876294365633155246519774352062055420437135813222343213899612917916999860912959646300781688788446361188690860325793792646567937674470331417490145981167492719590324243281971180405221245161054252854409851895121810146956942316013611369434019365330174980974871372879005624044141819552943053982815962603388574735137240106391958581593927177841361189449680340651057139946556689770546527563503357862724561864428005326855303018889398582856784148360607899811502627414009353623937205076693253259493715580971534678220126713652800975070848462437052968358011504479153099826871549247974302014714970134274846697790503589503992164874030964351544974406838975387554473601067886420825703478264656197757938153831072061272506035586484031921509666090776936502280974244999154276675663223648124001629190341348870508164893388269510935097546893540114397004146761099766763439706129494087650618885527321870354037499476290443198521822399988572877232826794594424129424350098995690626587664195472341651438203554764691913735159459883437361726323126409012695550863178608082935363224206765551037517193370114354335737280963781523006150811384973602633691958023600988145008993581318133461486988687973958202812191051852275856134451723427806501182689510248594817298743394336368036913236628380733662111139268084880128150228227899076324356443868824859562083629970747766001963230337786042219261052256660225444055455031936426206633146400769422440203474549085065417530434814801652956812230659075566205309999662808365798400436410843903020025846822316666927908609283857479045479399261443749673139554157948885357787629650595404272242185782696303420956235991002996322914751058213869574968136305860187949759217514499527997401745103704735247596950697507323794651637728654596312971839855622566443732612444426376075943986523950861238643005651299573644332856391408835237178883390634981845812388157521135231965828758867065367916610853604349841205061246442957600688987551977006577584886512099687416750474760532588091558877176936576431569713167811665667437276864090182350446412931166897861388002661144397721117391978004848938230219927566998033279586700717129217401140007867330919771772017433354093952899309433487746754891940858584668943786871854909055316310573266872278308644465586819524116014783995119315755067273907152980842137315662469280830154568996974791888360113246097562987942598557593857058830894894404603058522985826149884420900144881223578429000025931716570977970384073674935681830076655286042954592289679294036259793192085215901691119599658578278929267255377345440986340184323679441100791271099222565468623393906377352052823925412672148170786437410356723351893994698477376103378859183593312497123364576890962634657728579126356509360029499122630778060177304784194234092915118237408136696201171713310971305314782655897545279960699972003426153636199127817727364364530729733284296254234872285825230705379408261304382199606118354698035694597629057143464247785842109845661580419172502976853337366702337473831440968846976998811003458936945459728387447082168407234728904548124720507714597895874683260099437342353981609716735376150411546435651928886055245185976982051600761096015514118720960161605501792941978400190322794484054324465007294942508332002514557099731040588481571862729854917723019707192114284778455420990062420436844977081745430491587396557543592010801750896571978827827250068845990008092342638511014297979194113994544131783102793376083928224695546782230038284622756336984950789191696511837874194732770304154806991376045994597418873439158184520092696274483018702737605337293710518024954080994567575188774707595228237054049512388246263154996461026174037746953043724796904918626707962708395365785616384367263585780731398404456200779630188756983981162246946016624470465752384362844382500815258137137108060094992606342815493223607669713417643980858629885859351146267233794641358684747488854730401611970198563462212874112698682970861833180964355590408592405381057805803559685330614170984456458118731865218470550958809668320451277929614781651967568299592413979483195345790428413209048338312267473223154632500593994590891578571217670818013370427059164391226211607722135952021102321061812759774910619708307223102425696933003103897435221878743883426788316793770851198223755631723064570963793016596797022513154661877984297930510735742469065217835681470149197378584849294011009315067344565023580162001058445940261234168314083688912994882116552141296110978043253873024718229576782301173635043737420935637113463180347019024262105662949588232405325118264461386447482163764751702969400129463333210156554005001886278450160646613443606935081628695471451988265473082851594632226555225952007512332563869752448857065865037185314039914404143455205035987897248373143147719810072772672105757634545173288825317012635801452188570147010527504127299080839065608113260561333062295914455991690865204427861956168000590373181059243805232252527556917501551790216385692809043}
30856 3861753286798658856879495885643555554575440473790055510853860810732235326320026806293995: {92559,154255,185106,524263,801866,1357004,1448023,1603628,1632559,2280458,2554159,2713832,2836268,3053061,3238305,3454192,3855125,3885966,4494026,4533333,4575343,4626150,4934560,5125063,5299148,5396825,5491183,5551380,5921472,5966858,6476190,6661656,6907936,7494363,7709750,7771428,7804658,8045959,8741804,8786265,9251700,9272306,9372016,9638858,9680863,9724268,9868480,10105352,10543518,10586623,10948423,10951628,11005953,11102040,11368521,11581928,11835146,11842176,11851663,12489795,12931346,13029669,13102325,13225641,13322448,13661426,14191663,14329905,14987754,15285232,15446623,15722790,16770976,16939658,17054959,17076428,17195886,17767903,18298988,18651545,18767553,18867348,19638073,19722559,19899823,20009228,20568458,21668503,22205804,22342325,22373959,22381854,23425004,23938593,23957023,24308023,24833983,26810790,27642849,27802183,27815109,28054390,28142066,28498325,28598176,29191783,29365159,29577458,29861673,30403903,30934905,32172948,32645623,32798666,32817559,32997232,33113225,33155858,33233662,33661448,33665268,34197990,35217103,35387959,35815148,36241159,36364106,36477856,37075466,37121886,37248081,37869129,37942159,38111863,38141426,38234828,38851346,38959303,38983505,39735870,40077700,40480159,40623626,41037588,41995183,42163159,42384928,42456968,43787948,43838959,43920872,44202305,44448729,44530565,44674159,45214706,45507559,45566858,45674023,46678508,46780206,47168959,47175009,47476660,47683044,47764089,48093240,49410981,49812223,50470159,51245804,51299456,52529345,52927159,53042766,53282593,53436678,53579623,53619909,54104895,54323858,54393583,54428901,54603788,55205743,56041004,56064458,56160725,56280428,56971992,57484833,57631423,57711888,58074965,58757863,59188466,59399959,60918986,61797559,61962153,62645906,62684105,62899208,63035214,63146150,63228343,63386959,63390569,63833225,64020703,64093491,64925874,65057546,65600023,65915023,66701263,67172143,67317665,67392870,67704949,67823800,68111959,68434325,68737063,68796497,68893159,69461518,69516823,69517586,69528705,69689958,70761609,70827081,71625608,71774348,71885728,71909066,72154543,72486188,72926383,74163952,75220926,75775380,75842959,75981032,76117990,76301775,76470905,76599870,77461004,78364658,79489903,80199141,80409849,80578809,80781198,80827072,80871444,81147559,81165905,81297823,81388560,81404426,81706528,82048063,82121190,82421708,82646959,83365004,83434446,84324233,84594776,84862265,85439306,85478661,85624159,85772263,86123528,86444786,86511703,86662508,86814464,87570152,87595936,87691063,88308908,88572559,88719223,89014028,89483948,89633733,90170542,90453746,90930456,91341588,91487265,91562130,91597004,91637383,91765086,91785458,91919844,92004409,92072623,92989401,93350888,93518743,93597742,94526743,95169123,95347798,96050913,96389383,96888969,96966105,97089266,97102543,97399086,97586416,97666272,97680392,98280710,98516421,98523463,98545428,98855468,99230740,99513823,99560409,99884345,99937183,...,207512149168392487510873662026365802749407227249514417629790951866150557222666481217279528401042251717928481584921147101058390195423916899293775223320194641556656959453765657709294907206961660214739003805879802526829080195942589754684815159245359153773566641299828497172007498725522426070590738643754616804518099646849653475189278108791902903788481585932907120868076186595408919694062036751337810483632749152570673769140404025185864777142378864480810533082003503218679138165249606768924337679324954107962046237626835618203734633427797949916070624477348672638870799769162065663965736019619960179033128930387338119338656219832041285802059965875785300516739298134757181894434271304352874930343917538441429415030008047448645375895346221454369248669707965659998872368900884298197498668838920455131827344219857851026014580130062524720152529338862348133022351252941505992116867491847369762493805383332635053924264695763199984763836310435726125898839232466798660920835450218927296455535250938073019589218313545946511249815635097501878683594067817571477443913817632275687401383356257826819139114316374618375364008201081846631470178255944031467984193345324775090844615315984917298610937082921402469701141512602297903742001576919346998126423064991192448490715884315504507644882814852357446506837533637637198768432475258491766479416111506627663688002617640450381389625681403008880300592073940042581901608844195201025896586937966065446753890040579753068870609082974212100754940413332883744487731200581881125204026701129096422222570544812378476638727305865681924999564186072210598513810383506200793872362989581043595071227941647988003995097219668077618492766624181741146917266345623352666037329868993471606313663462600930009765059535516971539461750629119807496755258310149925901834767925315365267814984857340868399431525777141855211780316238511187513309127749850876694846975954438345156087157222147804805799788273414995257276800918650069302675436779848682799583222333966347376784122078502902582101908759617557082220889916369152120243133928550574889197148517336881525863628156522637339798584306959903422664044372782267622838956534853343823107893029029356577805458603865745911316995673189254478112891925049162473212073755080764355829704411525954115759365488019711993492421006756365209537307789516420883292374440206091995966389184480150994796750650590131410125142745107859859206137411363981101533179227866859841631437905333367908955427970627178764899914242440102207048057272789719572392048346390922780287868921492799544771038572356340503127254648453579098239254801055028132296753958164525208503136070431900550229530894381916547142297802525326264636501471171812244791083329497819435854616846210304772168475345813372665496841037413569739712258978790553490983210848928268228951081295073753043541196727039947599962671234871514932170423636485819374306311045728338979829714433640940505877681739176266141491139597380926130172076191285663714456146460882107225563337302471116488936449965108587958462635998414671278582593946304516596109557876312971872730832960676952797194499577680132583123138642146288980501533882061914202571848073660247969309402134348128020685491627946882140669057255971200253763725978739099286676393256677776003352742799641387451308762483639806556964026276256152379704607227986749893915793302775660573988783195410058122681069001195429305103769666758461320010789790184681352397305592151992725509044137057834778570966260729042973384379497008449313267718922262015783832259643693738873075988501394659463225164585544246026790261699310691603650140449724947357366605441326090100251699610126970982738732683184328350873328614701565383662604058299729206558168943950277860487714155179156351447707641864539274934372840251675978641549662594688832627287669845817125843334420344182849477413459990141790420657631476892951223525307811506514479134861689645059521811579663318472973868815960264751282950498816931577294482444241285807453878123207174743741071412913774152227979275277491642486957960734611746224427268370572819708869290091066123218639310927127720571217612064451083023297630872843334125326121188771428290227757351160569412219188301615476962847936028136428082417013033214159611076297469900929244004138529913629171658511235717755725027801597631674175630752761285057355462396030017539549170645730574014314323292086957114241960198929838113132392014679086756459420031440216001411261253681645557752111585217326509488736188394814637391005164032957639435709734898180058316561247516151284240462692032349474217266117643207100157685948515263309551686335603959200172617777613542072006669181704600214195484591475913442171593961935984353964110468792842968740301269343349776751826336598476087820049580418719885872191273606714650529664497524196959746763696896141010179393564385100422683514401936251426862680703338836398774452087477484347415110749727885941322254486939237149274890667453830908078991740309670036742556668735720288514257078724}
30857 3873580541700563169512582185701274856839661202665593053843456863485853519499347219473733: {123412,246808,277659,1202799,1696255,2004535,2035506,2374603,2405442,3022418,3392290,3420687,3545335,4070748,4254402,4317740,5181288,5765023,5828949,6044444,6168200,6623935,6741039,6939225,7401840,7895296,7948722,8200514,8327070,8634920,8842183,8882208,8950287,9714285,9830623,9992484,10134187,10361904,10420202,10927255,11564625,11657142,11706987,11715020,12049447,12155335,12335600,12539263,12631690,13112706,13374578,13689535,13877550,13908459,14058024,14458287,14477410,14569819,14586402,14674604,14802720,15158028,15789568,15815277,16236343,16417999,16427442,16653060,16975759,17372892,17634188,17752719,17763264,19106540,19375087,19397019,19983672,20492139,20963720,21345535,21962539,22249874,22481631,22873735,22927848,23584185,24710719,25011535,25023404,25156464,25409487,25614642,25793829,27448482,27757255,27784306,28086619,28301022,28403479,28872578,29281255,29453767,29842472,30013842,30111103,30377674,30852687,30873343,31918124,32595922,33308706,33572781,35050447,35137506,35747720,36857132,37086812,37149847,37522039,38430763,39815564,40216185,41091202,41246540,41954503,42076810,42081585,42213099,42897264,43174519,43398127,44366187,44768935,44887024,45597320,46951003,47793535,48067426,48259422,48818666,49197999,49495848,49664108,49733787,49850493,50097125,50235979,50312383,50492172,50497902,50560039,51296985,52304239,52981160,52999903,53071210,53514247,53722722,54252799,54546159,54689167,54716784,54734935,54901090,55036807,55613199,55682829,57212139,57352242,58277019,58348135,59026567,59264972,59345825,59603805,60116550,60935439,61556382,62373608,62672407,62900012,63187202,63328663,63577392,63685452,64057255,64124320,64893458,65681922,65881308,66309367,66416383,66483403,66599767,66847999,67822059,67955467,68254735,68350287,68979079,70017762,70051255,70170309,70350535,70723688,71214990,71248904,71493212,71507287,71524566,72139860,72571868,74020429,74401183,75358087,75619147,75962656,76429723,76615687,76623883,76646444,76868706,76949184,78624010,78778663,79564149,80155017,81485787,81682027,81905682,82062146,82616204,83517922,84046952,84061506,84096687,84278378,84420642,84779750,85005967,85336562,85388114,85457988,85470343,86567832,86880559,88514866,88782699,89254123,89532010,89695147,89717935,89857160,89999383,90477343,90501698,90607735,91378479,92332514,92508139,92550898,92704940,92919944,93301423,93968859,94348812,94436108,94552821,94596202,94719225,94976290,96726247,96826255,97319083,97388811,97586319,98065303,98472319,99517303,99824959,...,311268223752588731266310493039548704124110840874271626444686427799225835833999721825919292601563377576892722377381720651587585293135875348940662834980291962334985439180648486563942360810442490322108505708819703790243620293913884632027222738868038730660349961949742745758011248088283639105886107965631925206777149470274480212783917163187854355682722378899360681302114279893113379541093055127006715725449123728856010653710606037778797165713568296721215799623005254828018707247874410153386506518987431161943069356440253427305601950141696924874105936716023008958306199653743098495948604029429940268549693395581007179007984329748061928703089948813677950775108947202135772841651406956529312395515876307662144122545012071172968063843019332181553873004561948489998308553351326447296248003258380682697741016329786776539021870195093787080228794008293522199533526879412258988175301237771054643740708074998952580886397043644799977145754465653589188848258848700197991381253175328390944683302876407109529383827470318919766874723452646252818025391101726357216165870726448413531102075034386740228708671474561927563046012301622769947205267383916047201976290017987162636266922973977375947916405624382103704551712268903446855613002365379020497189634597486788672736073826473256761467324222278536169760256300456455798152648712887737649719124167259941495532003926460675572084438522104513320450888110910063872852413266292801538844880406949098170130835060869629603305913624461318151132410619999325616731596800872821687806040051693644633333855817218567714958090958798522887499346279108315897770715575259301190808544484371565392606841912471982005992645829502116427739149936272611720375899518435028999055994803490207409470495193901395014647589303275457309192625943679711245132887465224888852752151887973047901722477286011302599147288665712782817670474357766781269963691624776315042270463931657517734130735833221707208699682410122492885915201377975103954013155169773024199374833500949521065176183117754353873152863139426335623331334874553728180364700892825862333795722776005322288795442234783956009697876460439855133996066559173401434258434802280015734661839543544034866708187905798618866975493509783881717169337887573743709818110632621146533744556617288931173639048232029567990238631510134547814305961684274631324938561660309137993949583776720226492195125975885197115187714117661789788809206117045971652299768841800289762447156858000051863433141955940768147349871363660153310572085909184579358588072519586384170431803382239199317156557858534510754690881972680368647358882201582542198445130937246787812754704105647850825344296341572874820713446703787989396954752206757718367186624994246729153781925269315457158252713018720058998245261556120354609568388468185830236474816273392402343426621942610629565311795090559921399944006852307272398255635454728729061459466568592508469744571650461410758816522608764399212236709396071389195258114286928495571684219691323160838345005953706674733404674947662881937693953997622006917873890919456774894164336814469457809096249441015429195791749366520198874684707963219433470752300823092871303857772110490371953964103201522192031028237441920323211003585883956800380645588968108648930014589885016664005029114199462081176963143725459709835446039414384228569556910841980124840873689954163490860983174793115087184021603501793143957655654500137691980016184685277022028595958388227989088263566205586752167856449391093564460076569245512673969901578383393023675748389465540608309613982752091989194837746878316369040185392548966037405475210674587421036049908161989135150377549415190456474108099024776492526309992922052348075493906087449593809837253415925416790731571232768734527171561462796808912401559260377513967962324493892033248940931504768725688765001630516274274216120189985212685630986447215339426835287961717259771718702292534467589282717369494977709460803223940397126924425748225397365941723666361928711180817184810762115611607119370661228341968912916237463730436941101917619336640902555859229563303935136599184827958966390691580856826418096676624534946446309265001187989181783157142435341636026740854118328782452423215444271904042204642123625519549821239416614446204851393866006207794870443757487766853576633587541702396447511263446129141927586033193594045026309323755968595861021471484938130435671362940298394757169698588022018630134689130047160324002116891880522468336628167377825989764233104282592221956086507746049436459153564602347270087474841871274226926360694038048524211325899176464810650236528922772894964327529503405938800258926666420313108010003772556900321293226887213870163257390942903976530946165703189264453110451904015024665127739504897714131730074370628079828808286910410071975794496746286295439620145545344211515269090346577650634025271602904377140294021055008254598161678131216226521122666124591828911983381730408855723912336001180746362118487610464505055113835003103580432771385618086}
30858 3885443811144036378035907978758557937622053713874736397037022240068369434557681643638044: {154265,185118,215957,308510,370212,524297,585941,894041,1048526,1263497,1603732,2714008,2896046,3053259,3106457,3207256,3265118,3608163,4025237,4533627,4560916,4636757,5088435,5108318,5397175,5427664,5552537,5672536,6040217,6106122,6381603,6476610,6908384,6953237,7555555,7710250,7771932,8592137,8988052,9066666,9150686,9252300,9869120,10250126,10598296,10647641,10793650,10982366,11102760,11190197,11842944,11852441,11923083,11933716,12300771,12453641,12490605,12952380,13114037,13323312,13815872,14192597,14643775,14910197,14988726,15419500,15542856,15609316,15630303,16091918,17483608,17485713,17572530,17769077,18125141,18343255,18503400,18544612,18658697,18744032,18947535,19277716,19361726,19448536,19546517,19669059,19736960,19960217,20061867,20210704,20432537,20816325,21087036,21173246,21669941,21716115,21879603,21896846,21903256,22011906,22042735,22204080,22257941,22737042,22903817,23138441,23163856,23665877,23670292,23684352,23703326,23883175,24368117,24641163,24894041,24979590,25862692,26059338,26112163,26204650,26451282,26644896,27281717,27322852,28035977,28151897,28383326,28659810,29193737,29598197,29975508,30463577,30570464,30893246,30981941,31279255,31445580,31844441,32647817,33220697,33374811,33541952,33879316,34109918,34152856,34391772,35219477,35535806,36073097,36414041,36597976,37265141,37303090,37535106,37734696,37774937,38114441,38170997,38421963,39018377,39187637,39276146,39445118,39799646,39897655,40018456,41136916,41172723,41676459,42054041,42451533,42557717,42893141,43228277,43308867,43337006,44343317,44411608,44684650,44747918,44763708,44899637,45020763,45566511,46009877,46071415,46358515,46850008,47006357,47558837,47834777,47877186,47914046,48386057,48616046,48661397,48893883,49667966,49769455,49963059,50144777,51558175,52706259,53148437,53621580,54451541,54576907,55285698,55604366,55630218,55858037,56108780,56284132,56343641,56996650,57151541,57196352,57366677,57689141,58383566,58730318,59154916,59564441,59723346,60045077,60365141,60807806,61164041,61636803,61869810,61883227,62014217,62080135,62342791,63115215,64025177,64077941,64345896,64394357,64815797,65291246,65341877,65597332,65635118,65919641,65972117,65994464,66226450,66311716,66467324,66758297,67322896,67330536,67803737,68395980,68585717,69521717,70434206,70775918,70848283,71630296,71901941,72101139,72159641,72211157,72389133,72482318,72728212,72931541,72955712,73227999,73541083,74081215,74150932,74243772,74496162,74674517,74916127,74930057,75440537,75738258,75746853,75884318,76204757,76223726,76282852,76469656,77271641,77702692,77918606,77967010,77980937,78284441,78587657,78625015,79471740,79606815,79998857,80099417,80155400,80584083,80960318,81003017,81247252,81304951,81503897,82053941,82075176,82351635,82503257,83847317,83990366,84326318,84591497,84769856,84789641,84913936,85234997,85531541,86028363,86271641,86517941,86567177,87575896,87677918,87697397,87746441,87757747,87841744,88404610,88897458,89061130,89348318,89366515,90174825,90429412,90714835,91015118,91111157,91133716,91348046,91401941,91644041,91692437,92334573,92658677,93357016,93560412,94244731,94337918,94350018,94533641,94780803,94821017,94953320,95366088,95528178,95538197,95808055,96186480,96444041,97157141,97340187,97678937,98522883,98530697,98821962,99624446,...,466902335628883096899465739559323056186166261311407439667029641698838753750999582738878938902345066365339083566072580977381377939703813023410994252470437943502478158770972729845913541215663735483162758563229555685365430440870826948040834108302058095990524942924614118637016872132425458658829161948447887810165724205411720319175875744781781533524083568349041021953171419839670069311639582690510073588173685593284015980565909056668195748570352445081823699434507882242028060871811615230079759778481146742914604034660380140958402925212545387311158905074034513437459299480614647743922906044144910402824540093371510768511976494622092893054634923220516926162663420803203659262477110434793968593273814461493216183817518106759452095764528998272330809506842922734997462830026989670944372004887571024046611524494680164808532805292640680620343191012440283299300290319118388482262951856656581965611062112498428871329595565467199965718631698480383783272388273050296987071879762992586417024954314610664294075741205478379650312085178969379227038086652589535824248806089672620296653112551580110343063007211842891344569018452434154920807901075874070802964435026980743954400384460966063921874608436573155556827568403355170283419503548068530745784451896230183009104110739709885142200986333417804254640384450684683697228973069331606474578686250889912243298005889691013358126657783156769980676332166365095809278619899439202308267320610423647255196252591304444404958870436691977226698615929998988425097395201309232531709060077540466950000783725827851572437136438197784331249019418662473846656073362888951786212816726557348088910262868707973008988968744253174641608724904408917580563849277652543498583992205235311114205742790852092521971383954913185963788938915519566867699331197837333279128227831959571852583715929016953898720932998569174226505711536650171904945537437164472563405695897486276601196103749832560813049523615183739328872802066962655931019732754659536299062250251424281597764274676631530809729294709139503434997002311830592270547051339238793500693584164007983433193163352175934014546814690659782700994099838760102151387652203420023601992759315316052300062281858697928300463240264675822575754006831360615564727165948931719800616834925933396760458572348044351985357947265201821721458942526411946987407842490463706990924375665080339738292688963827795672781571176492684683213809175568957478449653262700434643670735287000077795149712933911152221024807045490229965858128863776869037882108779379576255647705073358798975734836787801766132036322959020552971038323302373813297667696405870181719132056158471776238016444512359312231070170055681984095432128310136577550779937491370093730672887903973185737379069528080088497367892334180531914352582702278745354712224410088603515139932913915944347967692635839882099916010278460908597383453182093093592189199852888762704616857475692116138224783913146598818355064094107083792887171430392743357526329536984741257517508930560012100107012421494322906540930996433010376810836379185162341246505221704186713644374161523143793687624049780298312027061944829150206128451234639306955786658165735557930946154802283288046542356162880484816505378825935200570968383452162973395021884827524996007543671299193121765444715588189564753169059121576342854335366262970187261310534931245236291474762189672630776032405252689715936483481750206537970024277027915533042893937582341983632395349308380128251784674086640346690114853868269010954852367575089535513622584198310912464420974128137983792256620317474553560278088823449056108212816011881131554074862242983702725566324122785684711162148537164738789464989383078522113240859131174390714755880123888125186097356849153101790757342194195213368602338890566270951943486740838049873411397257153088533147502445774411411324180284977819028446479670823009140252931942575889657578053438801701383924076054242466564191204835910595690386638622338096048912585499542893066771225777216143173417410679055991842512953369374356195595655411652876429004961353833788844344955902704898777241938449586037371285239627145014936802419669463897501781983772674735713653012454040111281177493173678634823166407856063306963185438279324731859124921669307277090799009311692305665636231650280364950381312553594671266895169193712891379049790391067539463985633952893791532207227407195653507044410447592135754547882033027945202033695070740486003175337820783702504942251066738984646349656423888332934129761619074154688730346903520905131212262806911340389541041057072786316988848764697215975354793384159342446491294255108908200388389999630469662015005658835350481939840330820805244886086414355964796419248554783896679665677856022536997691609257346571197595111555942119743212430365615107963691745119429443159430218318016317272903635519866475951037907404356565710441031582512381897242517196824339781683999186887743367975072595613283585868504001771119543177731415696757582670752504655370649157078427129}
30859 3897343204163677553509564968313832434250852112201580623549334105658934131886964654197169: {30859,246824,277677,462765,493616,555318,1572789,2004665,2374757,2405598,2806349,3392510,4009070,4071012,4344069,4749206,4810884,4897677,4963469,5701145,6044836,6443261,6784580,6813209,6841374,7090670,7662477,8141496,8508804,8635480,9159183,9273509,9714915,10362576,10508597,11235065,11530046,11565375,11618009,11657898,12088888,12336400,13247870,13467029,13482078,13599999,13726029,13878450,14803680,14819129,14917145,15298157,15375189,15790592,15897444,16190475,16401028,16473549,16654140,17017469,17218877,17269840,17684366,17764416,17900574,18146501,19165349,19274375,19428570,19511645,19661246,19984968,20268374,20723808,20840404,21654509,21854510,22483089,22685597,23129250,23180765,23314284,23413974,23430040,24097145,24098894,24137877,24310670,24671200,25078526,25263380,26225412,26358795,26749156,27379070,27755100,27816918,28116048,28916574,28954820,29042589,29139638,29172804,29203577,29349208,29587865,29605440,29883749,30316056,31579136,31630554,31759869,31919897,32023229,32328365,32472686,32835998,32845269,32854884,33017859,33193277,33306120,33951518,34105563,34153565,34505501,34745784,35016149,35268376,35505438,35526528,35554989,35585849,37469385,38213080,38750174,38794038,38860157,39089007,39174029,39306975,39676923,39967344,40984278,40993757,41314709,41927440,42349145,42574989,42691070,42989715,43925078,44499748,44847917,44963262,45747470,45855696,46339869,46694777,47168370,48503789,49421438,50023070,50046808,50312928,50818974,50987717,51164877,51229284,51421145,51587658,51651077,53303709,54896964,55487549,55514510,55568612,55885469,55954635,56173238,56302659,56602044,56806958,56899277,57745156,58562510,58907534,58914219,59167677,59460089,59684944,59699469,59772509,60027684,60222206,60755348,61705374,61746686,62636249,62676509,63836248,65005509,65112569,65191844,65970869,66617412,66910949,67026975,67090661,67121877,67145562,67155629,67696157,70100894,70108877,70135975,70275012,70355165,71108477,71495440,71815779,71871069,72551189,72924069,73714264,73943645,74110469,74173624,74299694,74501949,75044078,76628909,76861526,76923257,77032589,78030509,78492089,79631128,79919909,80432370,81687389,81996665,82182404,82493080,82889645,82928547,83084155,83406549,83445327,83909006,84153620,84163170,84426198,85494975,85794528,86349038,86796254,87575349,88046741,88095477,88732374,89537870,89585019,89680157,89774048,90910265,91150037,91194640,91211709,91781549,92688665,92804715,93902006,94343897,95006669,95353565,95556629,95587070,96134852,96206237,96518844,97128365,97637332,97936869,98071757,98138309,98395998,98452677,98490749,98991696,99328216,99339675,99467574,99700986,...,622536447505177462532620986079097408248221681748543252889372855598451671667999443651838585203126755153785444754763441303175170586271750697881325669960583924669970878361296973127884721620884980644217011417639407580487240587827769264054445477736077461320699923899485491516022496176567278211772215931263850413554298940548960425567834326375708711365444757798721362604228559786226759082186110254013431450898247457712021307421212075557594331427136593442431599246010509656037414495748820306773013037974862323886138712880506854611203900283393849748211873432046017916612399307486196991897208058859880537099386791162014358015968659496123857406179897627355901550217894404271545683302813913058624791031752615324288245090024142345936127686038664363107746009123896979996617106702652894592496006516761365395482032659573553078043740390187574160457588016587044399067053758824517976350602475542109287481416149997905161772794087289599954291508931307178377696517697400395982762506350656781889366605752814219058767654940637839533749446905292505636050782203452714432331741452896827062204150068773480457417342949123855126092024603245539894410534767832094403952580035974325272533845947954751895832811248764207409103424537806893711226004730758040994379269194973577345472147652946513522934648444557072339520512600912911596305297425775475299438248334519882991064007852921351144168877044209026640901776221820127745704826532585603077689760813898196340261670121739259206611827248922636302264821239998651233463193601745643375612080103387289266667711634437135429916181917597045774998692558216631795541431150518602381617088968743130785213683824943964011985291659004232855478299872545223440751799036870057998111989606980414818940990387802790029295178606550914618385251887359422490265774930449777705504303775946095803444954572022605198294577331425565635340948715533562539927383249552630084540927863315035468261471666443414417399364820244985771830402755950207908026310339546048398749667001899042130352366235508707746305726278852671246662669749107456360729401785651724667591445552010644577590884469567912019395752920879710267992133118346802868516869604560031469323679087088069733416375811597237733950987019567763434338675775147487419636221265242293067489113234577862347278096464059135980477263020269095628611923368549262649877123320618275987899167553440452984390251951770394230375428235323579577618412234091943304599537683600579524894313716000103726866283911881536294699742727320306621144171818369158717176145039172768340863606764478398634313115717069021509381763945360737294717764403165084396890261874493575625509408211295701650688592683145749641426893407575978793909504413515436734373249988493458307563850538630914316505426037440117996490523112240709219136776936371660472949632546784804686853243885221259130623590181119842799888013704614544796511270909457458122918933137185016939489143300922821517633045217528798424473418792142778390516228573856991143368439382646321676690011907413349466809349895325763875387907995244013835747781838913549788328673628938915618192498882030858391583498733040397749369415926438866941504601646185742607715544220980743907928206403044384062056474883840646422007171767913600761291177936217297860029179770033328010058228398924162353926287450919419670892078828768457139113821683960249681747379908326981721966349586230174368043207003586287915311309000275383960032369370554044057191916776455978176527132411173504335712898782187128920153138491025347939803156766786047351496778931081216619227965504183978389675493756632738080370785097932074810950421349174842072099816323978270300755098830380912948216198049552985052619985844104696150987812174899187619674506831850833581463142465537469054343122925593617824803118520755027935924648987784066497881863009537451377530003261032548548432240379970425371261972894430678853670575923434519543437404585068935178565434738989955418921606447880794253848851496450794731883447332723857422361634369621524231223214238741322456683937825832474927460873882203835238673281805111718459126607870273198369655917932781383161713652836193353249069892892618530002375978363566314284870683272053481708236657564904846430888543808084409284247251039099642478833228892409702787732012415589740887514975533707153267175083404792895022526892258283855172066387188090052618647511937191722042942969876260871342725880596789514339397176044037260269378260094320648004233783761044936673256334755651979528466208565184443912173015492098872918307129204694540174949683742548453852721388076097048422651798352929621300473057845545789928655059006811877600517853332840626216020007545113800642586453774427740326514781885807953061892331406378528906220903808030049330255479009795428263460148741256159657616573820820143951588993492572590879240291090688423030538180693155301268050543205808754280588042110016509196323356262432453042245332249183657823966763460817711447824672002361492724236975220929010110227670006207160865542771236172}
30860 3909278830122287862473282432158451159980834030662730328451305538930351067901690000188128: {215971,308530,370236,431914,585979,617020,740424,832977,955699,1048594,1171882,1325131,1788082,2097052,2431699,2526994,2984011,3167971,3207464,3608397,4820371,5003611,5088765,5428016,5792092,6013605,6101539,6106518,6212914,6414512,6466939,6530236,6832051,7014499,7123809,7216326,7556045,8050474,8480725,8653291,9067254,9121832,9273514,9379771,10105099,10176870,10216636,10262061,10577777,10636005,10794350,10855328,11105074,11190931,11345072,12080434,12212244,12763206,12953220,13174891,13816768,13894171,13906474,15111110,15420500,15543864,16402579,16581211,17184274,17295069,17486847,17976104,18133332,18185659,18301372,18363571,18504600,18719179,19738240,19871805,20223117,20315851,20500252,20501285,20817675,20846779,21196592,21295282,21587300,21906691,21964732,22205520,22380394,22611859,22787971,23139979,23685888,23704882,23846166,23867432,24601542,24907282,24981210,25680557,25904760,26050505,26228074,26295091,26526549,26646624,26850861,27631744,28385194,29142855,29287550,29491869,29773411,29820394,29977452,30119659,30402561,30839000,30859829,31085712,31218632,31260606,31579225,32183836,32781765,33436445,34693875,34967216,34971426,35120961,35145060,35538154,36148341,36193525,36250282,36466005,36473299,36686510,36984139,37006800,37089224,37317394,37488064,37617789,37834099,37895070,38173579,38555432,38723452,38897072,39093034,39338118,39473920,39920434,40123734,40421408,40865074,41068605,41632650,41725377,41888851,42174072,42346492,42896059,43231219,43339882,43374861,43432230,43709457,43759206,43790957,43793692,43806512,44023812,44085470,44408160,44515882,45402739,45474084,45807634,46276882,46327712,47064859,47331754,47340584,47368704,47406652,47445831,47766350,48709029,48719779,48736234,49253997,49282326,49379731,49788082,49959180,50203051,50927277,51188659,51725384,51844291,52118676,52224326,52335259,52409300,52902564,53258157,53289792,54563434,54645704,55624685,55856717,55915891,56071954,56303794,56401459,56766652,57319620,57531931,58125261,58176331,58191057,58387474,59140771,59196394,59951016,60102619,60927154,61140928,61221499,61381051,61476417,61786492,61963882,62558510,62891160,63131371,63688882,64036605,64082419,64499981,64872979,64901921,65188699,65295634,65346451,65887617,65976739,66441394,66749622,66920011,67083904,67444893,67758632,67860691,68219836,68305712,68621205,68783544,69460765,69677237,70045531,70201051,70438954,70752555,71071612,72146194,72181445,72216259,72828082,73195952,74132157,74530282,74606180,74986459,75034605,75070212,75445891,75469392,75549874,75944185,76228461,76228882,76341994,76843926,77277139,77381487,78036754,78340579,78375274,78552292,78643771,78890236,79400491,79599292,79795310,80036912,81489805,81509731,82273832,82345446,83271765,83352918,83729789,84108082,84259857,84498451,84903066,85092739,85115434,85210437,85241131,85786282,86277859,86456554,86573419,86617734,86674012,86912189,87605611,87752779,87843765,88193851,88361301,88537241,88686634,88823216,89220499,89369300,89495836,89527416,89799274,90041526,90333309,91133022,91408579,91699099,92019754,92142830,92558061,92620029,92713651,92717030,93700016,94012714,94156891,94875811,95117674,95669554,95736139,95754372,95828092,96772114,97232092,97322794,97733491,97787766,98301571,99335932,99538910,99926118,...,933804671257766193798931479118646112372332522622814879334059283397677507501999165477757877804690132730678167132145161954762755879407626046821988504940875887004956317541945459691827082431327470966325517126459111370730860881741653896081668216604116191981049885849228237274033744264850917317658323896895775620331448410823440638351751489563563067048167136698082043906342839679340138623279165381020147176347371186568031961131818113336391497140704890163647398869015764484056121743623230460159519556962293485829208069320760281916805850425090774622317810148069026874918598961229295487845812088289820805649080186743021537023952989244185786109269846441033852325326841606407318524954220869587937186547628922986432367635036213518904191529057996544661619013685845469994925660053979341888744009775142048093223048989360329617065610585281361240686382024880566598600580638236776964525903713313163931222124224996857742659191130934399931437263396960767566544776546100593974143759525985172834049908629221328588151482410956759300624170357938758454076173305179071648497612179345240593306225103160220686126014423685782689138036904868309841615802151748141605928870053961487908800768921932127843749216873146311113655136806710340566839007096137061491568903792460366018208221479419770284401972666835608509280768901369367394457946138663212949157372501779824486596011779382026716253315566313539961352664332730191618557239798878404616534641220847294510392505182608888809917740873383954453397231859997976850194790402618465063418120155080933900001567451655703144874272876395568662498038837324947693312146725777903572425633453114696177820525737415946017977937488506349283217449808817835161127698555305086997167984410470622228411485581704185043942767909826371927577877831039133735398662395674666558256455663919143705167431858033907797441865997138348453011423073300343809891074874328945126811391794972553202392207499665121626099047230367478657745604133925311862039465509319072598124500502848563195528549353263061619458589418279006869994004623661184541094102678477587001387168328015966866386326704351868029093629381319565401988199677520204302775304406840047203985518630632104600124563717395856600926480529351645151508013662721231129454331897863439601233669851866793520917144696088703970715894530403643442917885052823893974815684980927413981848751330160679476585377927655591345563142352985369366427618351137914956899306525400869287341470574000155590299425867822304442049614090980459931716257727553738075764217558759152511295410146717597951469673575603532264072645918041105942076646604747626595335392811740363438264112316943552476032889024718624462140340111363968190864256620273155101559874982740187461345775807946371474758139056160176994735784668361063828705165404557490709424448820177207030279865827831888695935385271679764199832020556921817194766906364186187184378399705777525409233714951384232276449567826293197636710128188214167585774342860785486715052659073969482515035017861120024200214024842988645813081861992866020753621672758370324682493010443408373427288748323046287587375248099560596624054123889658300412256902469278613911573316331471115861892309604566576093084712325760969633010757651870401141936766904325946790043769655049992015087342598386243530889431176379129506338118243152685708670732525940374522621069862490472582949524379345261552064810505379431872966963500413075940048554055831066085787875164683967264790698616760256503569348173280693380229707736538021909704735150179071027245168396621824928841948256275967584513240634949107120556177646898112216425632023762263108149724485967405451132648245571369422324297074329477578929978766157044226481718262348781429511760247776250372194713698306203581514684388390426737204677781132541903886973481676099746822794514306177066295004891548822822648360569955638056892959341646018280505863885151779315156106877603402767848152108484933128382409671821191380773277244676192097825170999085786133542451554432286346834821358111983685025906738748712391191310823305752858009922707667577688689911805409797554483876899172074742570479254290029873604839338927795003563967545349471427306024908080222562354986347357269646332815712126613926370876558649463718249843338614554181598018623384611331272463300560729900762625107189342533790338387425782758099580782135078927971267905787583064414454814391307014088820895184271509095764066055890404067390141480972006350675641567405009884502133477969292699312847776665868259523238148309377460693807041810262424525613822680779082082114145572633977697529394431950709586768318684892982588510217816400776779999260939324030011317670700963879680661641610489772172828711929592838497109567793359331355712045073995383218514693142395190223111884239486424860731230215927383490238858886318860436636032634545807271039732951902075814808713131420882063165024763794485034393648679563367998373775486735950145191226567171737008003542239086355462831393515165341505009310741298314156854258}
30861 3921250798711852783137765039501354861213980394513072482371167610511976312362803314719093: {61718,462795,493648,555354,647871,771275,925530,987232,1110636,1572891,1757823,2621315,2682123,2806531,3145578,3731519,3790491,4009330,4749514,4811196,5612698,6785020,7240115,7614763,7981603,8018140,8142024,8162795,8688138,9159777,9319371,9498412,9621768,9795354,9926938,10824489,11402290,12075711,12089672,12419251,12770795,12886522,13569160,13600881,13626418,13682748,13894859,13910271,14181340,15265305,15324954,15729091,15925151,16191525,16282992,16657611,17017608,17270960,18120651,18318366,18547018,19144809,19275625,19429830,20549603,20725152,20859711,20884003,21017194,21469691,22470130,22666665,22876715,23060092,23130750,23236018,23315796,24177776,24672800,25625315,25776411,25905323,26495740,26810251,26934058,26964156,26984125,27199998,27316303,27452058,27455915,27756900,29607360,29638258,29834290,30596314,30750378,31581184,31794888,31942923,32380950,32453071,32802056,32947098,33308280,33570591,33736003,34034938,34437754,34539680,35368732,35528832,35557323,35675179,35769249,35801148,36293002,36902313,37143011,37360923,37471815,38330698,38548750,38857140,39023290,39322492,39342111,39969936,40229795,40536748,41423011,41447616,41680808,42577791,43309018,43709020,43931325,44730591,44966178,45259711,45371194,46175263,46258500,46284491,46361530,46628568,46827948,46860080,46890909,47814991,48194290,48197788,48275754,48404315,48621340,48972571,49342400,50157052,50526760,52450824,52457139,52652603,52717590,52933115,53307231,53498312,54375423,54742115,54758140,55029765,55510200,55633836,55976091,56232096,56842605,57833148,57909640,58085178,58279276,58345608,58378331,58407154,58639551,58698416,59007177,59175730,59210880,59258315,59288803,59299571,59767498,59880651,60185601,60258211,60391199,60632112,61297611,62448975,63158272,63261108,63519738,63839794,63894751,64046458,64656730,64945372,65009823,65148345,65511625,65638809,65671996,65690538,65709768,66035718,66128205,66386554,66612240,66773823,67903036,68211126,68307130,68397851,68711451,69011002,69415323,69432091,69491568,69603091,70032298,70536752,70958315,70997631,71010876,71053056,71109978,71171698,71516603,71649525,71989603,73104351,73923489,74682123,74938770,76246603,76426160,77233115,77500348,77588076,77720314,78178014,78336489,78348058,78613950,79288963,79353846,79934688,80675611,81086623,81845151,81968556,81987514,82629418,83854880,84037291,84107931,84455691,84698290,85149978,85274795,85382140,85979430,86486411,87092003,87581211,87850156,88794591,88839515,88999496,89695834,89926524,90203411,91390731,91494940,91711392,92520191,92679738,92945823,93257725,93389554,93837765,94336740,95533323,97007578,97943451,98111311,98190365,98485211,98497231,98612795,98842876,99499115,99662091,...,1400707006886649290698397218677969168558498783934222319001088925096516261252998748216636816707035199096017250698217742932144133819111439070232982757411313830507434476312918189537740623646991206449488275689688667056096291322612480844122502324906174287971574828773842355911050616397276375976487485845343663430497172616235160957527627234345344600572250705047123065859514259519010207934918748071530220764521056779852047941697727170004587245711057335245471098303523646726084182615434845690239279335443440228743812103981140422875208775637636161933476715222103540312377898441843943231768718132434731208473620280114532305535929483866278679163904769661550778487990262409610977787431331304381905779821443384479648551452554320278356287293586994816992428520528768204992388490080969012833116014662713072139834573484040494425598415877922041861029573037320849897900870957355165446788855569969745896833186337495286613988786696401599897155895095441151349817164819150890961215639288977759251074862943831992882227223616435138950936255536908137681114259957768607472746418269017860889959337654740331029189021635528674033707055357302464762423703227622212408893305080942231863201153382898191765623825309719466670482705210065510850258510644205592237353355688690549027312332219129655426602959000253412763921153352054051091686919207994819423736058752669736729894017669073040074379973349470309942028996499095287427835859698317606924801961831270941765588757773913333214876611310075931680095847789996965275292185603927697595127180232621400850002351177483554717311409314593352993747058255987421539968220088666855358638450179672044266730788606123919026966906232759523924826174713226752741691547832957630495751976615705933342617228372556277565914151864739557891366816746558700603097993593511999837384683495878715557751147787050861696162798995707522679517134609950515714836612311493417690217087692458829803588311249497682439148570845551217986618406200887967793059198263978608897186750754272844793292824029894592429187884127418510304991006935491776811641154017716380502080752492023950299579490056527802043640444071979348102982299516280306454162956610260070805978277945948156900186845576093784901389720794027467727262020494081846694181497846795159401850504777800190281375717044133055956073841795605465164376827579235840962223527471391120972773126995241019214878066891483387018344713529478054049641427526706872435348959788101303931012205861000233385449138801733456663074421136470689897574386591330607113646326338138728766943115220076396927204510363405298396108968877061658913114969907121439893003089217610545157396168475415328714049333537077936693210510167045952286296384930409732652339812474110281192018663711919557212137208584240265492103677002541595743057748106836236064136673230265810545419798741747833043903077907519646299748030835382725792150359546279280776567599558666288113850572427076348414674351739439796455065192282321251378661514291178230072578988610954223772552526791680036300321037264482968719622792989299031130432509137555487023739515665112560140933122484569431381062872149340894936081185834487450618385353703917920867359974497206673792838464406849864139627068488641454449516136477805601712905150356488920185065654482574988022631013897579365296334146764568694259507177364729028563006098788910561783931604793735708874424286569017892328097215758069147809450445250619613910072831083746599128681812747025950897186047925140384755354022259921040070344561604807032864557102725268606540867752594932737393262922384413951376769860952423660680834266470347168324638448035643394662224586728951108176698972368357054133486445611494216368394968149235566339722577393523172144267640371664375558292070547459305372272026582585640105807016671698812855830460222514149620234191771459265599442507337323234233972540854933457085339439012469027420758795827727668972734160316405104151772228162727399692573614507731787071159915867014288146737756498628679200313677331648429520252232037167975527538860108123068586786966234958629287014884061501366533034867708114696331725815348758112113855718881435044810407259008391692505345951318024207140959037362120333843532479521035904469499223568189920889556314837974195577374765007921831272397027935076916996908694950841094851143937660784013800685507581138674137149371173202618391956901858681374596621682221586960521133231342776407263643646099083835606101085212221458009526013462351107514826753200216953939048969271664998802389284857222464066191040710562715393636788420734021168623123171218358950966546294091647926064380152478027339473882765326724601165169998891408986045016976506051445819520992462415734658259243067894389257745664351690038997033568067610993074827772039713592785334667826359229637291096845323891075235358288329478290654954048951818710906559599427853113722213069697131323094747537145691727551590473019345051997560663230103925217786839850757605512005313358629533194247090272748012257513966111947471235281387}
30862 3933259219954527244111302248636027478355637350983654137164307203692891819563801631132934: {92577,339361,431942,617060,709297,740472,833031,863828,1171958,1234040,1388295,1480848,1632877,1665954,1817377,1911398,2097188,2343764,2650262,2738797,3576164,4194104,4576237,4718367,4863398,5053988,5309197,5858161,5968022,6013995,6335942,6414928,7124271,7216794,8229517,8419047,8481275,9640742,10007222,10022675,10177530,10578463,10769677,10856032,11584184,11873015,12027210,12203078,12213036,12425828,12829024,12933878,13032207,13060472,13115761,13664102,14028998,14247618,14432652,14693031,14890407,15112090,15807661,16100948,16961450,17103435,17236717,17306582,17726675,17949517,18134508,18243664,18547028,18759542,19329783,19903777,20210198,20353740,20433272,20439627,20524122,21142861,21155554,21272010,21588700,21710656,22210148,22378417,22381862,22690144,22987431,23258797,24160868,24424488,25526412,25906440,26349782,27477549,27633536,27788342,27812948,27820527,28155661,28701799,28825115,29144745,29371057,30222220,30841000,31087728,31525791,32805158,32824177,32996077,33119675,33162422,33705195,34368548,34590138,34696125,34854027,34973694,35395117,35952208,36266664,36371318,36418957,36470707,36602744,36727142,37009200,37438358,38119597,39476480,39743610,40150861,40401087,40446234,40631702,40799997,41000504,41002570,41033399,41178087,41499277,41635350,41693558,42171757,42339697,42393184,42590564,42675361,43174600,43813382,43929464,44015137,44210915,44411040,44457387,44683297,44751435,44760788,45223718,45575942,45683377,45894471,46125567,46279958,46811023,47344417,47371776,47409764,47692332,47734864,48571425,49153115,49203084,49420647,49814564,49822477,49962420,50480557,50670935,51052407,51361114,51656631,51809520,52101010,52456148,52590182,53053098,53293248,53701722,54439503,54636275,55054861,55263488,55379437,56770388,57496047,57804577,57823125,58285710,58534935,58575100,58983738,59546822,59572717,59640788,59954904,60239318,60247235,60693361,60776675,60805122,61678000,61719658,62171424,62437264,62521212,62696315,63158450,63400237,64192417,64367672,64963527,65563530,66872890,67449267,68056791,68282737,68447675,68907697,69387750,69542295,69842977,69934432,69942852,70241922,70290120,71076308,72015217,72291435,72296682,72387050,72413631,72500564,72849095,72932010,72941857,72946598,73373020,73968278,74013600,74178448,74326957,74634788,74976128,75235578,75668198,75790140,76011937,76317361,76347158,77110864,77384077,77446904,77794144,77874559,78186068,78676236,78947840,79076385,79658017,79840868,80110861,80247468,80563057,80842816,81181715,81315277,81730148,82089995,82137210,82814317,83265300,83450754,83777702,83859361,84348144,84692984,84878795,85642657,85763711,85790797,85792118,86462438,86530417,86679764,86749722,86864460,87127767,87418914,87518412,87581914,87587384,87610731,87613024,88047624,88170940,88738477,88763595,88816320,89031764,89651247,89763361,90805478,90948168,91512097,91615268,92553764,92655424,93683437,94129718,94663508,94681168,94737408,94813304,94891662,95279607,95532700,95759691,96069687,96553357,96875435,96985095,97245071,97418058,97439558,97472468,97693261,97967243,98507994,98535807,98564652,98686897,98759462,98953387,99053577,99576164,99579831,99818161,99918360,...,1867609342515532387597862958237292224744665045245629758668118566795355015003998330955515755609380265461356334264290323909525511758815252093643977009881751774009912635083890919383654164862654941932651034252918222741461721763483307792163336433208232383962099771698456474548067488529701834635316647793791551240662896821646881276703502979127126134096334273396164087812685679358680277246558330762040294352694742373136063922263636226672782994281409780327294797738031528968112243487246460920319039113924586971658416138641520563833611700850181549244635620296138053749837197922458590975691624176579641611298160373486043074047905978488371572218539692882067704650653683212814637049908441739175874373095257845972864735270072427037808383058115993089323238027371690939989851320107958683777488019550284096186446097978720659234131221170562722481372764049761133197201161276473553929051807426626327862444248449993715485318382261868799862874526793921535133089553092201187948287519051970345668099817258442657176302964821913518601248340715877516908152346610358143296995224358690481186612450206320441372252028847371565378276073809736619683231604303496283211857740107922975817601537843864255687498433746292622227310273613420681133678014192274122983137807584920732036416442958839540568803945333671217018561537802738734788915892277326425898314745003559648973192023558764053432506631132627079922705328665460383237114479597756809233069282441694589020785010365217777619835481746767908906794463719995953700389580805236930126836240310161867800003134903311406289748545752791137324996077674649895386624293451555807144851266906229392355641051474831892035955874977012698566434899617635670322255397110610173994335968820941244456822971163408370087885535819652743855155755662078267470797324791349333116512911327838287410334863716067815594883731994276696906022846146600687619782149748657890253622783589945106404784414999330243252198094460734957315491208267850623724078931018638145196249001005697126391057098706526123238917178836558013739988009247322369082188205356955174002774336656031933732772653408703736058187258762639130803976399355040408605550608813680094407971037261264209200249127434791713201852961058703290303016027325442462258908663795726879202467339703733587041834289392177407941431789060807286885835770105647787949631369961854827963697502660321358953170755855311182691126284705970738732855236702275829913798613050801738574682941148000311180598851735644608884099228181960919863432515455107476151528435117518305022590820293435195902939347151207064528145291836082211884153293209495253190670785623480726876528224633887104952065778049437248924280680222727936381728513240546310203119749965480374922691551615892742949516278112320353989471569336722127657410330809114981418848897640354414060559731655663777391870770543359528399664041113843634389533812728372374368756799411555050818467429902768464552899135652586395273420256376428335171548685721570973430105318147938965030070035722240048400428049685977291626163723985732041507243345516740649364986020886816746854577496646092575174750496199121193248108247779316600824513804938557227823146632662942231723784619209133152186169424651521939266021515303740802283873533808651893580087539310099984030174685196772487061778862352758259012676236486305371417341465051880749045242139724980945165899048758690523104129621010758863745933927000826151880097108111662132171575750329367934529581397233520513007138696346561386760459415473076043819409470300358142054490336793243649857683896512551935169026481269898214241112355293796224432851264047524526216299448971934810902265296491142738844648594148658955157859957532314088452963436524697562859023520495552500744389427396612407163029368776780853474409355562265083807773946963352199493645589028612354132590009783097645645296721139911276113785918683292036561011727770303558630312213755206805535696304216969866256764819343642382761546554489352384195650341998171572267084903108864572693669642716223967370051813477497424782382621646611505716019845415335155377379823610819595108967753798344149485140958508580059747209678677855590007127935090698942854612049816160445124709972694714539292665631424253227852741753117298927436499686677229108363196037246769222662544926601121459801525250214378685067580676774851565516199161564270157855942535811575166128828909628782614028177641790368543018191528132111780808134780282961944012701351283134810019769004266955938585398625695553331736519046476296618754921387614083620524849051227645361558164164228291145267955395058788863901419173536637369785965177020435632801553559998521878648060022635341401927759361323283220979544345657423859185676994219135586718662711424090147990766437029386284790380446223768478972849721462460431854766980477717772637720873272065269091614542079465903804151629617426262841764126330049527588970068787297359126735996747550973471900290382453134343474016007084478172710925662787030330683010018621482596628313708516}
30863 3945304204203623694307299261825259747193542135623077504373158844696238193899152694445280: {123436,647913,771325,925590,987296,1079785,1110708,1295742,1542550,1757937,1851060,1974464,2221272,2498931,2621485,2867097,2929705,3145782,3515646,3669841,3731761,3975393,4409977,4470205,5242630,5364246,5613062,6291156,6317485,7295097,7463038,7580982,7799737,8018660,8909581,8952033,9499028,9503913,9622392,10136161,10825191,11225396,11427913,13570040,14461113,14480230,14572657,15010833,15192781,15229526,15266295,15532285,15963206,16036280,16284048,16302193,16325590,16421197,17376276,17879113,18040815,18304617,18319554,18638742,18820633,18996824,19243536,19378861,19400817,19590708,19853876,20126185,20496153,21043497,21371427,21648978,21966817,22516993,22668135,22804580,23183785,23995537,24039961,24151422,24179344,24838502,25442175,25541590,25773044,25959873,26213353,26741737,26985875,27138320,27201762,27252836,27365496,27691897,27762685,27789718,27820542,28139313,28362680,30116977,30201085,30315297,30530610,30649908,30786183,31458182,31733331,31850302,31908015,32027401,32383050,32565984,33315222,33572793,34035216,34541920,34766185,35875441,36241302,36636732,37094036,37777775,38189293,38289618,38438281,38551250,38859660,39524673,41099206,41450304,41512777,41682513,41719422,41768006,41769817,42034388,42939382,42960685,43406593,44940260,45333330,45753430,46120184,46261500,46472036,46535341,46631592,46960177,47310397,47421193,48355552,49207737,49345600,49743633,50322217,51250630,51552822,51742861,51810646,51885207,52460541,52991480,53238205,53620502,53868116,53928312,53968250,54399996,54437437,54556977,54632606,54699853,54904116,54911830,55025377,55090713,55513800,55950985,56157537,56283817,56321713,58715113,59214720,59262205,59276516,59615415,59668580,60345853,60669351,60947553,61065961,61192628,61500756,61503855,62192233,62268205,62453025,62540337,63162368,63341017,63589776,63885846,64418761,64761900,64906142,65570185,65604112,65720073,65894196,66616560,67141182,67472006,67766041,67835577,68069876,68363913,68875508,68992573,69079360,69419937,70737464,70962985,71057664,71114646,71350358,71371417,71538498,71602296,72560641,72586004,73218875,73804626,74106361,74286022,74415697,74550985,74721846,74943630,76444657,76630633,76638961,76661396,77041671,77097500,77714280,77755501,78046580,78151515,78644984,78684222,78885273,79579647,79859473,79930321,79939872,80459590,80552583,81073496,81908941,82846022,82895232,82961641,83361616,85155582,85289161,86396413,86618036,87418040,87428565,87862650,88475607,88845385,89320233,89461182,89712673,89932356,90358977,90519422,90625705,90742388,91207683,91716275,92350526,92517000,92568982,92579487,92723060,93257136,93293485,93655896,93720160,93781818,94737675,95345881,95629982,96388580,96395576,96551508,96745153,96808630,97242680,97338121,97732585,97945142,98345295,98491657,98684800,99341641,99801085,...,2801414013773298581396794437355938337116997567868444638002177850193032522505997496433273633414070398192034501396435485864288267638222878140465965514822627661014868952625836379075481247293982412898976551379377334112192582645224961688245004649812348575943149657547684711822101232794552751952974971690687326860994345232470321915055254468690689201144501410094246131719028519038020415869837496143060441529042113559704095883395454340009174491422114670490942196607047293452168365230869691380478558670886880457487624207962280845750417551275272323866953430444207080624755796883687886463537436264869462416947240560229064611071858967732557358327809539323101556975980524819221955574862662608763811559642886768959297102905108640556712574587173989633984857041057536409984776980161938025666232029325426144279669146968080988851196831755844083722059146074641699795801741914710330893577711139939491793666372674990573227977573392803199794311790190882302699634329638301781922431278577955518502149725887663985764454447232870277901872511073816275362228519915537214945492836538035721779918675309480662058378043271057348067414110714604929524847406455244424817786610161884463726402306765796383531247650619438933340965410420131021700517021288411184474706711377381098054624664438259310853205918000506825527842306704108102183373838415989638847472117505339473459788035338146080148759946698940619884057992998190574855671719396635213849603923662541883531177515547826666429753222620151863360191695579993930550584371207855395190254360465242801700004702354967109434622818629186705987494116511974843079936440177333710717276900359344088533461577212247838053933812465519047849652349426453505483383095665915260991503953231411866685234456745112555131828303729479115782733633493117401206195987187023999674769366991757431115502295574101723392325597991415045359034269219901031429673224622986835380434175384917659607176622498995364878297141691102435973236812401775935586118396527957217794373501508545689586585648059789184858375768254837020609982013870983553623282308035432761004161504984047900599158980113055604087280888143958696205964599032560612908325913220520141611956555891896313800373691152187569802779441588054935454524040988163693388362995693590318803701009555600380562751434088266111912147683591210930328753655158471681924447054942782241945546253990482038429756133782966774036689427058956108099282855053413744870697919576202607862024411722000466770898277603466913326148842272941379795148773182661214227292652676277457533886230440152793854409020726810596792217937754123317826229939814242879786006178435221090314792336950830657428098667074155873386421020334091904572592769860819465304679624948220562384037327423839114424274417168480530984207354005083191486115496213672472128273346460531621090839597483495666087806155815039292599496061670765451584300719092558561553135199117332576227701144854152696829348703478879592910130384564642502757323028582356460145157977221908447545105053583360072600642074528965937439245585978598062260865018275110974047479031330225120281866244969138862762125744298681789872162371668974901236770707407835841734719948994413347585676928813699728279254136977282908899032272955611203425810300712977840370131308965149976045262027795158730592668293529137388519014354729458057126012197577821123567863209587471417748848573138035784656194431516138295618900890501239227820145662167493198257363625494051901794372095850280769510708044519842080140689123209614065729114205450537213081735505189865474786525844768827902753539721904847321361668532940694336649276896071286789324449173457902216353397944736714108266972891222988432736789936298471132679445154787046344288535280743328751116584141094918610744544053165171280211614033343397625711660920445028299240468383542918531198885014674646468467945081709866914170678878024938054841517591655455337945468320632810208303544456325454799385147229015463574142319831734028576293475512997257358400627354663296859040504464074335951055077720216246137173573932469917258574029768123002733066069735416229392663451630697516224227711437762870089620814518016783385010691902636048414281918074724240667687064959042071808938998447136379841779112629675948391154749530015843662544794055870153833993817389901682189702287875321568027601371015162277348274298742346405236783913803717362749193243364443173921042266462685552814527287292198167671212202170424442916019052026924702215029653506400433907878097938543329997604778569714444928132382081421125430787273576841468042337246246342436717901933092588183295852128760304956054678947765530653449202330339997782817972090033953012102891639041984924831469316518486135788778515491328703380077994067136135221986149655544079427185570669335652718459274582193690647782150470716576658956581309908097903637421813119198855706227444426139394262646189495074291383455103180946038690103995121326460207850435573679701515211024010626717259066388494180545496024515027932223894942470562774}
30864 3957385862144603112703807918212046554754844936709663542813256436027696640466345204640934: {154295,185154,339383,401063,678722,709343,863884,1234120,1388385,1418594,1448399,1480944,1666062,1727656,1878983,1943613,2313825,2343916,2468080,2554823,2776590,2961696,3107063,3265754,3290999,3331908,3634754,3822796,4194376,4209599,4637663,4687528,4718673,4820999,5126399,5273469,5300524,5477594,5919503,6954599,7137023,7152328,7863945,8046369,8290703,8388208,8419593,9152474,9380999,9436734,9501983,9726796,10023325,10107976,10589399,10618394,11192399,11194557,11371473,11373143,11716322,11873785,11936044,12027990,12095399,12671884,12829856,13176623,14015783,14031745,14248542,14433588,15868343,16404743,16459034,16622221,16838094,16880999,16962550,17297303,17950703,19281484,19372943,19727783,19964183,20014444,20045350,20355060,20436599,20613623,21156926,21539354,21712064,21720345,21909599,22614863,22844289,22908383,23168368,23260343,23746030,23944809,24054420,24406156,24426072,24488385,24817345,24851656,25599383,25658048,25867756,26064414,26120944,26231522,26415023,27328204,27479331,27958113,28041599,28057996,28331399,28495236,28505725,28865304,29373023,29386062,29604143,29777399,29780814,30224180,30239063,30757823,31615322,31620983,32201896,32216305,32473467,32826383,33399143,33922900,34066045,34206870,34473434,34613164,35055623,35397503,35453350,35625263,35899034,36227133,36250943,36269016,36478223,36487328,37094056,37257753,37519084,37782599,37952423,38178743,38312385,38348399,38659566,39195599,39807554,40355161,40420396,40707480,40716023,40802643,40866544,40879254,41048244,41684577,41730813,42006599,42285722,42311108,42544020,42734183,43177400,43421312,43516223,44420296,44756834,44763724,44908823,45380288,45519983,45795915,45908399,45974862,46367545,46517594,47181863,47187273,47402903,47775453,48321736,48395999,48494017,48561263,48574575,48848976,49496399,49972833,50484023,50703143,51052824,51812880,51960599,52342463,52542985,52699564,53159423,53594399,54361953,54955098,55267072,55576684,55625896,55641054,55869623,56175325,56311322,57403598,57434427,57539903,57647399,57650230,57826875,58090045,58289490,58452599,58742114,60444440,60697583,60750863,61495943,61648809,61682000,61814783,61895281,62027183,62175456,62579133,62652009,63051582,63140183,63245999,63616103,64038599,64196903,64409073,64829399,64987343,65513303,65610316,65648354,65992154,66239350,66324844,66929399,67034063,67335145,67410390,67556903,67999995,68630145,68737096,68756399,68814361,69180276,69392250,69708054,69947388,70314599,70790234,70939309,71904416,72380999,72533328,72742636,72837914,72941414,73205488,73454284,74018400,74095645,74585725,74876716,75099263,75609623,76239194,76373663,76490785,76875945,77085143,77329233,77389583,77715969,77744399,77997599,78952960,79411823,79487220,79512599,80301722,80430753,80802174,80892468,80952375,81020399,81170783,81263404,81521399,81599994,81948909,82001008,82005140,82066798,82356174,82367745,82670663,82870103,82998554,83270700,83387116,84343514,84346129,84510599,84609743,84679394,84786368,85087345,85104983,85181128,85350722,86094385,86349200,86585903,87618263,87626764,87716399,87774841,87858928,88030274,88304543,88421830,88822080,88914774,88940399,89366594,89502870,89521576,89818583,90447436,90732505,91151884,91276463,91366754,91518743,91788942,92251134,92559916,93545999,93622046,94170623,94688834,94743552,94745999,94819528,94985399,95384664,95469728,95826745,95828769,96371875,96417599,97142850,97359213,97558225,97700423,97747823,97984703,98306230,98406168,98694143,98841294,99629128,99644954,99872543,99924840,...,4202121020659947872095191656033907505675496351802666957003266775289548783758996244649910450121105597288051752094653228796432401457334317210698948272233941491522303428938754568613221870940973619348464827069066001168288873967837442532367506974718522863914724486321527067733151849191829127929462457536030990291491517848705482872582881703036033801716752115141369197578542778557030623804756244214590662293563170339556143825093181510013761737133172005736413294910570940178252547846304537070717838006330320686231436311943421268625626326912908485800430145666310620937133695325531829695306154397304193625420860840343596916607788451598836037491714308984652335463970787228832933362293993913145717339464330153438945654357662960835068861880760984450977285561586304614977165470242907038499348043988139216419503720452121483276795247633766125583088719111962549693702612872065496340366566709909237690499559012485859841966360089204799691467685286323454049451494457452672883646917866933277753224588831495978646681670849305416852808766610724413043342779873305822418239254807053582669878012964220993087567064906586022101121166071907394287271109682866637226679915242826695589603460148694575296871475929158400011448115630196532550775531932616776712060067066071647081936996657388966279808877000760238291763460056162153275060757623984458271208176258009210189682053007219120223139920048410929826086989497285862283507579094952820774405885493812825296766273321739999644629833930227795040287543369990895825876556811783092785381540697864202550007053532450664151934227943780058981241174767962264619904660266000566075915350539016132800192365818371757080900718698278571774478524139680258225074643498872891487255929847117800027851685117668832697742455594218673674100450239676101809293980780535999512154050487636146673253443361152585088488396987122568038551403829851547144509836934480253070651263077376489410764933748493047317445712536653653959855218602663903379177594791935826691560252262818534379878472089683777287563652382255530914973020806475330434923462053149141506242257476071850898738470169583406130921332215938044308946898548840919362488869830780212417934833837844470700560536728281354704169162382082403181786061482245540082544493540385478205551514333400570844127151132399167868221525386816395493130482737707522886670582414173362918319380985723057644634200674450161055034140588434162148924282580120617306046879364303911793036617583000700156347416405200369989223263409412069692723159773991821340938979014416186300829345660229190781613531090215895188326906631184976739344909721364319679009267652831635472188505426245986142148000611233810079631530501137856858889154791229197957019437422330843576055991135758671636411625752720796476311031007624787229173244320508708192410019690797431636259396225243499131709233722558938899244092506148177376451078638837842329702798675998864341551717281229045244023055218319389365195576846963754135984542873534690217736965832862671317657580375040108900963111793448906158868378967897093391297527412666461071218546995337680422799367453708294143188616448022684808243557503462351855156061111753762602079923491620021378515393220549592418881205465924363348548409433416805138715451069466760555196963447724964067893041692738095889002440293706082778521532094187085689018296366731685351794814381207126623272859707053676984291647274207443428351335751858841730218493251239797386045438241077852691558143775421154266062066779763120211033684814421098593671308175805819622603257784798212179788767153241854130309582857270982042502799411041504973915344106930183986673760186853324530096917105071162400459336834482649105184904447706699019167732180569516432802921114993126674876211642377916116816079747756920317421050015096438567491380667542448860702575314377796798327522011969702701917622564800371256018317037407082262276387483183006918202480949215312455316684488182199077720843523195361213479747601042864440213269495886037600941031994945288560756696111503926582616580324369205760360898704875887861044652184504099599104603124344088995177446046274336341567156644305134431221777025175077516037853954072621422877112086361001530597438563107713408497670704569762668668944513922586732124295023765493817191083805230750990726084852523284553431812982352041402056522743416022411448113519607855175870705576044123789865046664760881563399694028329221790930938297251506818303255636664374028578040387053322544480259600650861817146907814994996407167854571667392198573122131688146180910365262202063505869369513655076852899638882274943778193140457434082018421648295980173803495509996674226958135050929518154337458562977387247203974777729203683167773236993055070116991100704202832979224483316119140778356004003479077688911873290535971673225706074864988434871964862146855456132719678798283559341166639209091393969284242611437075182654771419058035155992681989690311775653360519552272816536015940075888599582741270818244036772541898335842413705844161}
30865 3969504304796068966651638666816647895417629645065971654726599972222376155128408961064116: {246872,277731,1018083,1079855,1295826,1511699,1542650,1851180,1974592,2127891,2159570,2221416,2499093,2591484,2929895,3085100,3515874,3670079,3702120,3948928,4101587,4164885,4410263,4442544,4778495,4898631,4997862,5211791,5242970,5452131,5734194,5859410,6258287,6291564,6625655,7031292,7339682,7463522,7950786,8216391,8819954,8844479,8940410,9217871,9957767,10485260,10728492,11226124,12158495,12542519,12582312,12634970,13728711,14155101,14590194,14920055,14926076,15161964,15599474,15839855,15927591,16037320,16240559,16980167,17222231,17574483,17819162,17904066,18041985,18998056,19007826,19244784,20272322,21372813,21650382,21658727,21745199,22450792,22855826,24101855,24688551,24717143,25018055,25166051,25257141,25443825,27140080,28176659,28410863,28922226,28960460,29145314,29601683,30021666,30068025,30385562,30459052,30507695,30532590,31064570,31603871,31735389,31926412,32072560,32309031,32334695,32457299,32568096,32604386,32651180,32817719,32842394,34160255,34752552,35059559,35072495,35592791,35619045,35758226,36081630,36609234,36639108,37277484,37641266,37780225,37993648,38487072,38757722,38801634,38867759,39096621,39181416,39347283,39707752,40252370,40992306,42086994,42281519,42403625,42682151,42742854,42925619,43185743,43266455,43297956,43933634,44079093,44671221,45033986,45336270,45609160,46367570,46898855,47422983,47991074,48079922,48302844,48358688,48513251,48672659,49677004,50525495,50573183,50884350,50997683,51083180,51310305,51546088,51710151,51919746,52010087,52426706,52888885,53013719,53180025,53483474,53528159,53848551,53971750,54266903,54276640,54403524,54505672,54730992,55383794,55498391,55525370,55579436,55641084,55896371,55954655,56278626,56725360,57989349,58191743,59471711,59711331,60144959,60233954,60402170,60630594,61061220,61299816,61318881,61572366,62916364,63428583,63466662,63700604,63816030,64054802,64766100,65029991,65093303,65125271,65131968,65874455,66630444,67135251,67145586,67709363,68070432,68962293,69083840,69470855,69532370,69776391,70464287,71122403,71750882,72168863,72482604,73273464,74188072,74533487,75137843,75555550,76131263,76378586,76579236,76876562,76938263,77102500,77719320,78045731,78331379,78799199,79049346,80798639,81097187,82012895,82198412,82432647,82900608,82906055,82967087,83025554,83365026,83438844,83461581,83536012,83539634,84068776,84466983,84489479,85878764,85921370,86105397,86475345,86813186,86903207,87175487,87434235,88113171,88180319,89880520,90666660,90928295,91506860,91545287,91798259,91817855,92240368,92523000,92944072,93070682,93168119,93263184,93595895,93920354,94577373,94620794,94842386,96711104,97128047,98157491,98415474,98472531,98691200,98988231,99348179,99359025,99487266,...,5602828027546597162793588874711876674233995135736889276004355700386065045011994992866547266828140796384069002792870971728576535276445756280931931029645255322029737905251672758150962494587964825797953102758754668224385165290449923376490009299624697151886299315095369423644202465589105503905949943381374653721988690464940643830110508937381378402289002820188492263438057038076040831739674992286120883058084227119408191766790908680018348982844229340981884393214094586904336730461739382760957117341773760914975248415924561691500835102550544647733906860888414161249511593767375772927074872529738924833894481120458129222143717935465114716655619078646203113951961049638443911149725325217527623119285773537918594205810217281113425149174347979267969714082115072819969553960323876051332464058650852288559338293936161977702393663511688167444118292149283399591603483829420661787155422279878983587332745349981146455955146785606399588623580381764605399268659276603563844862557155911037004299451775327971528908894465740555803745022147632550724457039831074429890985673076071443559837350618961324116756086542114696134828221429209859049694812910488849635573220323768927452804613531592767062495301238877866681930820840262043401034042576822368949413422754762196109249328876518621706411836001013651055684613408216204366747676831979277694944235010678946919576070676292160297519893397881239768115985996381149711343438793270427699207847325083767062355031095653332859506445240303726720383391159987861101168742415710790380508720930485603400009404709934218869245637258373411974988233023949686159872880354667421434553800718688177066923154424495676107867624931038095699304698852907010966766191331830521983007906462823733370468913490225110263656607458958231565467266986234802412391974374047999349538733983514862231004591148203446784651195982830090718068538439802062859346449245973670760868350769835319214353244997990729756594283382204871946473624803551871172236793055914435588747003017091379173171296119578369716751536509674041219964027741967107246564616070865522008323009968095801198317960226111208174561776287917392411929198065121225816651826441040283223913111783792627600747382304375139605558883176109870909048081976327386776725991387180637607402019111200761125502868176532223824295367182421860657507310316943363848894109885564483891092507980964076859512267565933548073378854117912216198565710106827489741395839152405215724048823444000933541796555206933826652297684545882759590297546365322428454585305352554915067772460880305587708818041453621193584435875508246635652459879628485759572012356870442180629584673901661314856197334148311746772842040668183809145185539721638930609359249896441124768074654847678228848548834336961061968414708010166382972230992427344944256546692921063242181679194966991332175612311630078585198992123341530903168601438185117123106270398234665152455402289708305393658697406957759185820260769129285005514646057164712920290315954443816895090210107166720145201284149057931874878491171957196124521730036550221948094958062660450240563732489938277725524251488597363579744324743337949802473541414815671683469439897988826695171353857627399456558508273954565817798064545911222406851620601425955680740262617930299952090524055590317461185336587058274777038028709458916114252024395155642247135726419174942835497697146276071569312388863032276591237801781002478455640291324334986396514727250988103803588744191700561539021416089039684160281378246419228131458228410901074426163471010379730949573051689537655805507079443809694642723337065881388673298553792142573578648898346915804432706795889473428216533945782445976865473579872596942265358890309574092688577070561486657502233168282189837221489088106330342560423228066686795251423321840890056598480936767085837062397770029349292936935890163419733828341357756049876109683035183310910675890936641265620416607088912650909598770294458030927148284639663468057152586951025994514716801254709326593718081008928148671902110155440432492274347147864939834517148059536246005466132139470832458785326903261395032448455422875525740179241629036033566770021383805272096828563836149448481335374129918084143617877996894272759683558225259351896782309499060031687325089588111740307667987634779803364379404575750643136055202742030324554696548597484692810473567827607434725498386486728886347842084532925371105629054574584396335342424404340848885832038104053849404430059307012800867815756195877086659995209557139428889856264764162842250861574547153682936084674492492684873435803866185176366591704257520609912109357895531061306898404660679995565635944180067906024205783278083969849662938633036972271577557030982657406760155988134272270443972299311088158854371141338671305436918549164387381295564300941433153317913162619816195807274843626238397711412454888852278788525292378990148582766910206361892077380207990242652920415700871147359403030422048021253434518132776988361090992049030055864447789884941125548}
30866 3981659643510764127453212096225952031392765645691642541920315487176023800774346788593040: {216013,308590,370308,401089,678766,802126,1140673,1357444,1418686,1727768,1943739,2313975,2468240,2776770,2837188,2896798,2961888,3168589,3239355,3332124,3352513,3455312,3757966,3856375,3887226,4271053,4627650,4687832,4936160,5004589,5109646,5273811,5553180,5923392,6214126,6531508,6581998,6663816,6833389,7015873,7269508,7496793,7645592,7864455,8388752,8419198,8601291,8789115,9275326,9375056,9381613,9437346,9563089,9641998,10252798,10288273,10546938,10601048,10650433,10955188,11009523,11195283,11373889,11839006,11926179,12096193,13106575,13229931,13357453,13410615,13909198,14032655,14076589,14274046,14304656,15153133,15727890,16092738,16581406,16584493,16623299,16776416,16839186,18304948,18367213,18545089,18657595,18761998,18873468,18952455,19003966,19433389,19453592,19644443,20046650,20215952,21178798,21236788,21885291,21911053,22087489,22384798,22389114,22742946,22746286,22792513,23144593,23399211,23432644,23747570,23872088,24055980,24190798,25343768,25601089,25659712,26300353,26353246,26474989,26728743,26856099,27172813,27521293,28031566,28063490,28497084,28511739,28867176,30408483,30817489,31680589,31736686,32475573,32809486,32918068,33244442,33676188,33761998,33925100,34283739,34594606,34744283,35901406,36200575,36651073,37841773,38073815,38350993,38562968,38745886,39455566,39908015,39928366,40028888,40090700,40710120,40813975,40873198,41227246,41897389,42065473,42313852,43078708,43383339,43424128,43440690,43574989,43717971,43819198,45032499,45102827,45229726,45578343,45688578,45798885,45816766,46244173,46336736,46520686,46596855,46742593,47492060,47692463,47889618,48108840,48399313,48812312,48852144,48906579,48976770,49263591,49389889,49554733,49634690,49703312,51198766,51316096,51735512,52018753,52128828,52241888,52463044,52830046,53637339,54122445,54656408,54913851,54958662,55916226,55927489,56083198,56115992,56461899,56662798,56990472,57011450,57311111,57382573,57705133,57730608,58136583,58202451,58510273,58746046,58772124,59153089,59208286,59554798,59561628,60378555,60448360,60478126,60755089,61393873,61488459,61515646,61553389,62096255,62508973,63130491,63144589,63230644,63241966,63853975,64095853,64114281,64403792,64432610,64886593,64914563,64946934,65360173,65517889,65652766,65900451,66798286,67550979,67845800,68004405,68031553,68132090,68413740,68946868,69226328,69281473,69474295,69551355,70111246,70215889,70795006,70906700,71250526,71798068,71986611,72119883,72386113,72454266,72501886,72538032,72956446,72974656,73560179,74188112,74515506,74695693,75038168,75565198,75614989,75904846,76326525,76357486,76624770,76696798,77319132,77749933,77879619,78391198,78508993,78640059,78645455,79615108,79625755,80225211,80710322,80840792,80957625,81326063,81414960,81432046,81605286,81733088,81758508,82096488,83075691,83288055,83369154,83461626,84013198,84070093,84417939,84571444,84622216,84814033,85088040,85259533,85468366,86354800,86842624,87032446,87771793,88840592,89513668,89527448,89817646,90350931,90603255,90760576,90945891,91039966,91591830,91816798,91949724,92358549,92735090,93035188,94269203,94363726,94374546,94752913,94805806,95040193,95199993,95550906,95724045,95757133,96082203,96378125,96472273,96643472,96791998,96988034,97122526,97149150,97697952,97754989,98323213,98465089,98992798,99945666,...,8404242041319895744190383312067815011350992703605333914006533550579097567517992489299820900242211194576103504189306457592864802914668634421397896544467882983044606857877509137226443741881947238696929654138132002336577747935674885064735013949437045727829448972643054135466303698383658255858924915072061980582983035697410965745165763406072067603433504230282738395157085557114061247609512488429181324587126340679112287650186363020027523474266344011472826589821141880356505095692609074141435676012660641372462872623886842537251252653825816971600860291332621241874267390651063659390612308794608387250841721680687193833215576903197672074983428617969304670927941574457665866724587987826291434678928660306877891308715325921670137723761521968901954571123172609229954330940485814076998696087976278432839007440904242966553590495267532251166177438223925099387405225744130992680733133419818475380999118024971719683932720178409599382935370572646908098902988914905345767293835733866555506449177662991957293363341698610833705617533221448826086685559746611644836478509614107165339756025928441986175134129813172044202242332143814788574542219365733274453359830485653391179206920297389150593742951858316800022896231260393065101551063865233553424120134132143294163873993314777932559617754001520476583526920112324306550121515247968916542416352516018420379364106014438240446279840096821859652173978994571724567015158189905641548811770987625650593532546643479999289259667860455590080575086739981791651753113623566185570763081395728405100014107064901328303868455887560117962482349535924529239809320532001132151830701078032265600384731636743514161801437396557143548957048279360516450149286997745782974511859694235600055703370235337665395484911188437347348200900479352203618587961561071999024308100975272293346506886722305170176976793974245136077102807659703094289019673868960506141302526154752978821529867496986094634891425073307307919710437205327806758355189583871653383120504525637068759756944179367554575127304764511061829946041612950660869846924106298283012484514952143701797476940339166812261842664431876088617893797097681838724977739661560424835869667675688941401121073456562709408338324764164806363572122964491080165088987080770956411103028666801141688254302264798335736443050773632790986260965475415045773341164828346725836638761971446115289268401348900322110068281176868324297848565160241234612093758728607823586073235166001400312694832810400739978446526818824139385446319547983642681877958028832372601658691320458381563227062180431790376653813262369953478689819442728639358018535305663270944377010852491972284296001222467620159263061002275713717778309582458395914038874844661687152111982271517343272823251505441592952622062015249574458346488641017416384820039381594863272518792450486998263418467445117877798488185012296354752902157277675684659405597351997728683103434562458090488046110436638778730391153693927508271969085747069380435473931665725342635315160750080217801926223586897812317736757935794186782595054825332922142437093990675360845598734907416588286377232896045369616487115006924703710312122223507525204159846983240042757030786441099184837762410931848726697096818866833610277430902138933521110393926895449928135786083385476191778004880587412165557043064188374171378036592733463370703589628762414253246545719414107353968583294548414886856702671503717683460436986502479594772090876482155705383116287550842308532124133559526240422067369628842197187342616351611639245206515569596424359577534306483708260619165714541964085005598822083009947830688213860367973347520373706649060193834210142324800918673668965298210369808895413398038335464361139032865605842229986253349752423284755832233632159495513840634842100030192877134982761335084897721405150628755593596655044023939405403835245129600742512036634074814164524552774966366013836404961898430624910633368976364398155441687046390722426959495202085728880426538991772075201882063989890577121513392223007853165233160648738411520721797409751775722089304369008199198209206248688177990354892092548672683134313288610268862443554050350155032075707908145242845754224172722003061194877126215426816995341409139525337337889027845173464248590047530987634382167610461501981452169705046569106863625964704082804113045486832044822896227039215710351741411152088247579730093329521763126799388056658443581861876594503013636606511273328748057156080774106645088960519201301723634293815629989992814335709143334784397146244263376292361820730524404127011738739027310153705799277764549887556386280914868164036843296591960347606991019993348453916270101859036308674917125954774494407949555458407366335546473986110140233982201408405665958448966632238281556712008006958155377823746581071943346451412149729976869743929724293710912265439357596567118682333278418182787938568485222874150365309542838116070311985363979380623551306721039104545633072031880151777199165482541636488073545083796671684827411688322}
30867 3993851989976570751959960622222142969002854398393543355271259556828751809525206510297174: {462885,493744,555462,1018149,1203189,1511797,1696805,2036166,2128029,2159710,2591652,3023398,3085300,3546485,3702360,3949184,4101853,4165155,4255782,4319140,4345197,4442832,4998186,5182968,5212129,5636949,5766893,5830839,5859790,6170200,6689893,6941475,7031748,7340158,7404240,7664469,7897856,8164385,8203174,8329770,8820526,8885088,9086885,9275917,9321189,9556990,9797262,9872997,9995724,10423582,10485940,10904262,11129269,11468388,11718820,12516574,12583128,12628797,13251310,13693985,13912989,14062584,14156019,14462997,14679364,14822977,14927044,15379197,15820407,15901572,15928253,16432782,17021893,17639908,17688958,17758509,17880820,17958149,18151213,18435742,19915534,20863797,20888077,20970520,21411069,21456984,21473873,22175797,22452248,22881185,23591835,24139107,24316990,24611597,24872109,25085038,25164624,25258779,25269940,25910369,26545985,27457422,28095749,28142997,28310202,28505949,29047229,29180388,29211169,29290805,29840110,29852152,30069975,30323928,31198948,31679710,31768197,31855182,32074640,32481118,33577197,33583671,33742597,33960334,34114419,34119429,34444462,35025277,35148966,35621355,35638324,35808132,36083970,36286197,37996112,38015652,38489568,38784577,39184213,39529869,40544644,41147585,42047349,42095235,42406375,42710773,42745626,43300764,43317454,43490398,44901584,45268573,45711652,47605029,47824357,48203710,49101493,49214229,49377102,49434286,49866663,50036110,50113375,50252309,50328773,50332102,50514282,50642997,50730277,50887650,51891909,52892315,53848385,53852109,54280160,56353318,56375693,56821726,56914069,57844452,57920920,58118829,58290628,59183349,59203366,59365075,59892549,60043332,60136050,60269989,60403013,60573037,60771124,60918104,61015390,61065180,61309797,61840869,62129140,62652577,63207742,63470778,63852824,64145120,64618062,64669390,64914598,65136192,65161035,65208772,65302360,65578805,65635438,65658397,65684788,65728797,66869729,67844589,67977557,68320510,68532867,68725149,69505104,69616669,69781029,70119118,70144990,70735693,71185582,71238090,71516452,71530577,71834427,72163260,73218468,73278216,73465155,74044439,74452035,74554968,75282532,75323893,75560450,75987296,76261477,76798149,76928449,76974144,77515444,77603268,77735518,78193242,78336517,78362832,78694566,79038305,79245069,79415504,80504740,80691349,81984612,82437993,83074657,83874339,84053749,84124797,84173988,84563038,84807250,84994197,85364302,85485708,85517175,85851238,86183585,86371486,86532910,86595912,87867268,88069693,88119069,88158186,88505549,88610917,88633375,88799269,88812429,89332197,89342442,89747585,90067972,90221057,90672540,90717189,91218320,92224237,92273469,92538269,92735140,93331853,93797710,94845966,94862949,95982148,96159844,96605688,96648915,96717376,96757757,97026502,97259197,97345318,97420401,98479149,99354008,99518885,...,12606363061979843616285574968101722517026489055408000871009800325868646351276988733949731350363316791864155256283959686389297204372002951632096844816701824474566910286816263705839665612822920858045394481207198003504866621903512327597102520924155568591744173458964581203199455547575487383788387372608092970874474553546116448617748645109108101405150256345424107592735628335671091871414268732643771986880689511018668431475279544530041285211399516017209239884731712820534757643538913611212153514018990962058694308935830263805876878980738725457401290436998931862811401085976595489085918463191912580876262582521030790749823365354796508112475142926953957006391912361686498800086881981739437152018392990460316836963072988882505206585642282953352931856684758913844931496410728721115498044131964417649258511161356364449830385742901298376749266157335887649081107838616196489021099700129727713071498677037457579525899080267614399074403055858970362148354483372358018650940753600799833259673766494487935940045012547916250558426299832173239130028339619917467254717764421160748009634038892662979262701194719758066303363498215722182861813329048599911680039745728480086768810380446083725890614427787475200034344346890589597652326595797850330136180201198214941245810989972166898839426631002280714875290380168486459825182272871953374813624528774027630569046159021657360669419760145232789478260968491857586850522737284858462323217656481438475890298819965219998933889501790683385120862630109972687477629670435349278356144622093592607650021160597351992455802683831340176943723524303886793859713980798001698227746051617048398400577097455115271242702156094835715323435572419040774675223930496618674461767789541353400083555055353006498093227366782656021022301350719028305427881942341607998536462151462908440019760330083457755265465190961367704115654211489554641433529510803440759211953789232129468232294801245479141952337137609960961879565655807991710137532784375807480074680756788455603139635416269051331862690957146766592744919062419425991304770386159447424518726772428215552696215410508750218392763996647814132926840695646522758087466609492340637253804501513533412101681610184844064112507487146247209545358184446736620247633480621156434616654543000201712532381453397197503604664576160449186479391448213122568660011747242520088754958142957169172933902602023350483165102421765302486446772847740361851918140638092911735379109852749002100469042249215601109967669790228236209078169479321975464022816937043248558902488036980687572344840593270647685564980719893554930218034729164092959037027802958494906416565516278737958426444001833701430238894591503413570576667464373687593871058312266992530728167973407276014909234877258162389428933093022874361687519732961526124577230059072392294908778188675730497395127701167676816697732277518444532129353235916513526989108396027996593024655151843687135732069165654958168095586730540891262407953628620604070653210897498588013952972741125120326702889335380346718476605136903691280173892582237999383213655640986013041268398102361124882429565849344068054424730672510387055565468183335261287806239770474860064135546179661648777256643616397773090045645228300250415416146353208400281665590890343174892203679125078214287667007320881118248335564596282561257067054889100195056055384443143621379869818579121161030952874941822622330285054007255576525190655479753719392158136314723233558074674431326263462798186200339289360633101054443263295781013924527417458867809773354394636539366301459725562390928748571812946127508398233124514921746032320790551960021280560559973590290751315213487201378010503447947315554713343120097057503196541708549298408763344979380024628634927133748350448239243270760952263150045289315702474142002627346582107725943133390394982566035909108105752867694401113768054951112221246786829162449549020754607442847645937365950053464546597233162530569586083640439242803128593320639808487658112802823095984835865682270088334511779747849740973107617281082696114627663583133956553512298797313809373032266985532338138823009024701469932915403293665331075525232548113561862217864268631336259083004591792315689323140225493012113709288006006833541767760196372885071296481451573251415692252972178254557569853660295438947056124206169568230248067234344340558823565527612116728132371369595139994282644690199082084987665372792814891754520454909766909993122085734121161159967633440778801952585451440723444984989221503563715002176595719366395064438542731095786606190517608108540965230558698916646824831334579421372302246055264944887940521410486529990022680874405152788554463012375688932161741611924333187611049503319710979165210350973302112608498937673449948357422335068012010437233066735619871607915019677118224594965304615894586440566368398159036394850678023499917627274181907852727834311225547964314257174105467978045969070935326960081558656818449608047820227665798748223812454732110317625695007527241117532483}
30868 4006081456217513138961818066760279593995552279273582020152356901239217248767247294681594: {432026,524467,617180,740616,802178,833193,894331,1357532,1604252,1817731,2281346,2714888,2837372,3054249,3239565,3455536,3856625,3887478,4535097,4627950,4936480,5398925,5493331,5553540,5674376,5793596,5859307,5923776,6042187,6337178,6383673,6478710,6664248,6705026,6910624,7497279,7515932,7712750,7774452,8542106,8789685,9255300,9375664,9503227,9872320,10009178,10219292,10547622,10952731,11010237,11106360,11846784,12217267,12304761,12428252,12494655,12758131,13063016,13107425,13163996,13230789,13327632,13666778,14031746,14335485,14539016,14556331,14648525,14695893,14993586,15291184,15635373,15728910,15810787,16356393,16777504,16838396,17202582,17578230,18131131,18349205,18550652,18658805,18750112,18763226,18774861,18874692,19126178,19283996,19645717,19876965,20505596,20576546,21093876,21202096,21300866,21910376,22019046,22049885,22351025,22390566,22747778,23678012,23852358,23966587,24192386,24317731,24649173,24668587,25194331,25719427,26120633,26213150,26459862,26533437,26714906,26821230,27653613,27818396,28065310,28153178,28161307,28335187,28548092,28609312,29873301,30306266,30761947,31280131,31455780,31587425,32185476,33002731,33162812,33168986,33246598,33552832,33678372,34204267,36475485,36609896,36734426,37090178,37315190,37523996,37627557,37746936,37904910,38007932,38466667,38866778,38907184,38998685,39288886,40093300,40327867,40431904,41186133,42348331,42357596,42465303,42473576,43522147,43770582,43822106,44174978,44547905,44760165,44769596,44778228,45485892,45492572,45585026,46025587,46289186,46798422,46865288,47495140,47519565,47744176,47782773,47851147,48111960,48381596,48678067,48721677,50161987,50680805,50687536,50940501,51202178,51319424,51666693,52600706,52706492,52723449,52949978,53303341,53457486,53601787,53712198,54125955,54345626,54741331,55042586,55228627,55871221,56063132,56126980,56994168,57023478,57139565,57655387,57734352,60816966,61634978,63254827,63361178,63415253,63473372,64047547,64118439,64951146,64976181,65235597,65618972,65627587,65836136,65942731,66488884,67043467,67352376,67523996,67731313,67850200,68567478,69189212,69488566,69857731,71802812,72185131,72305565,72401150,72863285,72957331,73265707,73302146,74065653,74151429,74956627,75054165,75498153,75683546,75722347,75771423,75963905,76147630,76331475,76701986,77125936,77491772,77661425,78911132,79523947,79816030,79856732,80057776,80181400,81420240,81510965,81627950,81746396,81783307,82105985,82454492,83794778,84130946,84529977,84621907,84627704,85232589,85809331,86157416,86549131,86766678,86848256,86881380,86934757,87149978,87435942,87638396,87729067,88805049,89050987,89395565,89782867,89929027,90064998,90204075,90205654,90459452,91156686,91377156,91523085,91597770,91633532,91677331,92402731,92488346,92673472,93041372,93126331,93193710,93485186,94103165,94811613,94855627,94984120,95206167,95384926,95779236,96217680,96717331,96798626,96894305,96927093,97004085,97264013,97371897,97624624,97704288,97813158,97953540,98453157,98527182,98779778,99109466,99269380,99406624,99840187,99981307,...,16808484082639791488380766624135630022701985407210667828013067101158195135035984978599641800484422389152207008378612915185729605829337268842795793088935765966089213715755018274452887483763894477393859308276264004673155495871349770129470027898874091455658897945286108270932607396767316511717849830144123961165966071394821931490331526812144135206867008460565476790314171114228122495219024976858362649174252681358224575300372726040055046948532688022945653179642283760713010191385218148282871352025321282744925745247773685074502505307651633943201720582665242483748534781302127318781224617589216774501683443361374387666431153806395344149966857235938609341855883148915331733449175975652582869357857320613755782617430651843340275447523043937803909142246345218459908661880971628153997392175952556865678014881808485933107180990535064502332354876447850198774810451488261985361466266839636950761998236049943439367865440356819198765870741145293816197805977829810691534587671467733111012898355325983914586726683397221667411235066442897652173371119493223289672957019228214330679512051856883972350268259626344088404484664287629577149084438731466548906719660971306782358413840594778301187485903716633600045792462520786130203102127730467106848240268264286588327747986629555865119235508003040953167053840224648613100243030495937833084832705032036840758728212028876480892559680193643719304347957989143449134030316379811283097623541975251301187065093286959998578519335720911180161150173479963583303506227247132371141526162791456810200028214129802656607736911775120235924964699071849058479618641064002264303661402156064531200769463273487028323602874793114287097914096558721032900298573995491565949023719388471200111406740470675330790969822376874694696401800958704407237175923122143998048616201950544586693013773444610340353953587948490272154205615319406188578039347737921012282605052309505957643059734993972189269782850146614615839420874410655613516710379167743306766241009051274137519513888358735109150254609529022123659892083225901321739693848212596566024969029904287403594953880678333624523685328863752177235787594195363677449955479323120849671739335351377882802242146913125418816676649528329612727144245928982160330177974161541912822206057333602283376508604529596671472886101547265581972521930950830091546682329656693451673277523942892230578536802697800644220136562353736648595697130320482469224187517457215647172146470332002800625389665620801479956893053637648278770892639095967285363755916057664745203317382640916763126454124360863580753307626524739906957379638885457278716037070611326541888754021704983944568592002444935240318526122004551427435556619164916791828077749689323374304223964543034686545646503010883185905244124030499148916692977282034832769640078763189726545037584900973996526836934890235755596976370024592709505804314555351369318811194703995457366206869124916180976092220873277557460782307387855016543938171494138760870947863331450685270630321500160435603852447173795624635473515871588373565190109650665844284874187981350721691197469814833176572754465792090739232974230013849407420624244447015050408319693966480085514061572882198369675524821863697453394193637733667220554861804277867042220787853790899856271572166770952383556009761174824331114086128376748342756073185466926741407179257524828506493091438828214707937166589096829773713405343007435366920873973004959189544181752964311410766232575101684617064248267119052480844134739257684394374685232703223278490413031139192848719155068612967416521238331429083928170011197644166019895661376427720735946695040747413298120387668420284649601837347337930596420739617790826796076670928722278065731211684459972506699504846569511664467264318991027681269684200060385754269965522670169795442810301257511187193310088047878810807670490259201485024073268149628329049105549932732027672809923796861249821266737952728796310883374092781444853918990404171457760853077983544150403764127979781154243026784446015706330466321297476823041443594819503551444178608738016398396418412497376355980709784185097345366268626577220537724887108100700310064151415816290485691508448345444006122389754252430853633990682818279050674675778055690346928497180095061975268764335220923003962904339410093138213727251929408165608226090973664089645792454078431420703482822304176495159460186659043526253598776113316887163723753189006027273213022546657496114312161548213290177921038402603447268587631259979985628671418286669568794292488526752584723641461048808254023477478054620307411598555529099775112772561829736328073686593183920695213982039986696907832540203718072617349834251909548988815899110916814732671092947972220280467964402816811331916897933264476563113424016013916310755647493162143886692902824299459953739487859448587421824530878715193134237364666556836365575877136970445748300730619085676232140623970727958761247102613442078209091266144063760303554398330965083272976147090167593343369654823376644}
30869 4018348154594763569168137219444165026543041194345371214906528758217444533124965480456682: {30869,648039,771475,925770,987488,1110924,1203267,1696915,2005315,2036298,2375527,2406378,3023594,3393610,3422019,3546715,4072332,4256058,4319420,4965079,5183304,5767267,5831217,6046796,6170600,6445351,6815419,6941925,7092970,7241995,7404720,7898368,8203706,8330310,8511564,8638280,8690394,8885664,9394915,9505767,9718065,9834451,9996372,10057539,10365936,10424258,11273898,11430139,11533786,11569125,11661678,11719580,12054139,12340400,12721639,12774115,12813159,13379786,13882950,13898467,14063496,14680316,14808480,15013767,15328938,15535315,15795712,15821433,16328770,16406348,16454995,16659540,17641052,17770176,18173770,18551834,18642378,18824299,19113980,19171579,19594524,19745994,19991448,20500167,20554939,20847164,20971880,21047619,21047995,21223267,21808524,22258538,22490379,22521379,22936776,23188315,23437640,23593365,24000211,24104995,25033148,25166256,25257594,25631995,25803873,26218459,26367345,26502620,27387970,27507079,27697291,27825978,28125168,28144839,28312038,28689267,28925994,29358728,29597515,29645954,29854088,30464167,30758394,30864819,31640814,31803144,31856506,31951299,32033659,32865564,33028569,33051619,33204067,33585849,34043786,34121667,34171027,34772995,35279816,35377916,35517018,35685115,35761640,35778537,35916298,36288579,36302426,36871484,37152667,37164379,39319725,39689793,39831068,40072359,40231845,41007127,41328139,41453515,41727594,41776154,41941040,42097965,42229767,42822138,42913968,42947746,44277607,44351594,44904496,45459399,45762370,46544419,46904995,47183670,47509915,48278214,48633980,49223194,49744218,49753479,49869897,50116625,50170076,50329248,50517558,50539880,51004327,51667867,51820738,52666291,52946995,53091970,54914844,55101639,55635267,55961995,55972785,56191498,56285994,56620404,56857365,56865715,57011898,57606619,58094458,58300167,58360776,58422338,58581610,58726567,58933329,59314987,59368925,59479459,59680220,59704304,59791939,60139950,60476995,60647856,61077907,62397896,62959579,63359420,63536394,63710364,64149280,64962236,65655873,65733159,65883115,66262467,66442387,66625819,67154394,67167342,67177459,67485194,67920668,68228838,68238858,68377539,68888924,69433779,70050554,70078915,70131667,70158725,70197633,70297932,71242710,71276648,71385379,71616264,72167940,72572394,72574819,74032099,74049241,75387739,75992224,76031304,76485607,76803267,76979136,77569154,77770699,78368426,78901059,79059738,79341715,79424967,79945939,80186229,80568297,81089288,81518439,82023715,82295170,82563879,83111105,84094698,84190470,84404995,84812750,85039219,85305799,85421546,85491252,85535217,86413267,86486515,86601528,86634908,86980796,89533627,89753515,89803168,90537146,91225449,91423304,91810327,92452467,94374667,94513507,95041767,95210058,95648714,96177139,96407420,96864715,97426719,98170279,98202986,98428458,98638915,98754204,98868572,99556267,99733326,99820915,...,25212726123959687232571149936203445034052978110816001742019600651737292702553977467899462700726633583728310512567919372778594408744005903264193689633403648949133820573632527411679331225645841716090788962414396007009733243807024655194205041848311137183488346917929162406398911095150974767576774745216185941748949107092232897235497290218216202810300512690848215185471256671342183742828537465287543973761379022037336862950559089060082570422799032034418479769463425641069515287077827222424307028037981924117388617871660527611753757961477450914802580873997863725622802171953190978171836926383825161752525165042061581499646730709593016224950285853907914012783824723372997600173763963478874304036785980920633673926145977765010413171284565906705863713369517827689862992821457442230996088263928835298517022322712728899660771485802596753498532314671775298162215677232392978042199400259455426142997354074915159051798160535228798148806111717940724296708966744716037301881507201599666519347532988975871880090025095832501116852599664346478260056679239834934509435528842321496019268077785325958525402389439516132606726996431444365723626658097199823360079491456960173537620760892167451781228855574950400068688693781179195304653191595700660272360402396429882491621979944333797678853262004561429750580760336972919650364545743906749627249057548055261138092318043314721338839520290465578956521936983715173701045474569716924646435312962876951780597639930439997867779003581366770241725260219945374955259340870698556712289244187185215300042321194703984911605367662680353887447048607773587719427961596003396455492103234096796801154194910230542485404312189671430646871144838081549350447860993237348923535579082706800167110110706012996186454733565312042044602701438056610855763884683215997072924302925816880039520660166915510530930381922735408231308422979109282867059021606881518423907578464258936464589602490958283904674275219921923759131311615983420275065568751614960149361513576911206279270832538102663725381914293533185489838124838851982609540772318894849037453544856431105392430821017500436785527993295628265853681391293045516174933218984681274507609003027066824203363220369688128225014974292494419090716368893473240495266961242312869233309086000403425064762906794395007209329152320898372958782896426245137320023494485040177509916285914338345867805204046700966330204843530604972893545695480723703836281276185823470758219705498004200938084498431202219935339580456472418156338958643950928045633874086497117804976073961375144689681186541295371129961439787109860436069458328185918074055605916989812833131032557475916852888003667402860477789183006827141153334928747375187742116624533985061456335946814552029818469754516324778857866186045748723375039465923052249154460118144784589817556377351460994790255402335353633395464555036889064258706471833027053978216792055993186049310303687374271464138331309916336191173461081782524815907257241208141306421794997176027905945482250240653405778670760693436953210273807382560347785164475998766427311281972026082536796204722249764859131698688136108849461345020774111130936366670522575612479540949720128271092359323297554513287232795546180091290456600500830832292706416800563331181780686349784407358250156428575334014641762236496671129192565122514134109778200390112110768886287242759739637158242322061905749883645244660570108014511153050381310959507438784316272629446467116149348862652526925596372400678578721266202108886526591562027849054834917735619546708789273078732602919451124781857497143625892255016796466249029843492064641581103920042561121119947180581502630426974402756021006895894631109426686240194115006393083417098596817526689958760049257269854267496700896478486541521904526300090578631404948284005254693164215451886266780789965132071818216211505735388802227536109902224442493573658324899098041509214885695291874731900106929093194466325061139172167280878485606257186641279616975316225605646191969671731364540176669023559495699481946215234562165392229255327166267913107024597594627618746064533971064676277646018049402939865830806587330662151050465096227123724435728537262672518166009183584631378646280450986024227418576012013667083535520392745770142592962903146502831384505944356509115139707320590877894112248412339136460496134468688681117647131055224233456264742739190279988565289380398164169975330745585629783509040909819533819986244171468242322319935266881557603905170902881446889969978443007127430004353191438732790128877085462191573212381035216217081930461117397833293649662669158842744604492110529889775881042820973059980045361748810305577108926024751377864323483223848666375222099006639421958330420701946604225216997875346899896714844670136024020874466133471239743215830039354236449189930609231789172881132736796318072789701356046999835254548363815705455668622451095928628514348210935956091938141870653920163117313636899216095640455331597496447624909464220635251390015054482235064966}
30870 4030652197807651137605253274652489383469753647010380491632154508446761309523197431725831: {339449,524501,586169,864052,894389,956009,1048934,1234360,1263989,1388655,1481232,1604356,1633301,1666386,1788662,1879349,2063801,2715064,2739509,2984981,3054447,3208504,3291641,3475541,3609567,3635462,4535391,4562692,4821941,5005241,5090415,5127401,5310581,5399275,5429776,5554709,5674744,5920661,6103529,6108498,6384087,6479130,6911072,6955961,7138421,7320809,7558495,7713250,7774956,8474261,8959061,9070194,9255900,9503849,9564341,9685301,9872960,10108409,10639455,10772501,10797850,10986662,11107080,11348752,11375381,11556089,11587192,11718614,11847552,12084374,12218069,12305559,12495465,12674356,12767346,12819029,12957420,13035591,13328496,13359209,13410052,13479161,13821248,14198201,14557289,14649475,14994558,15031864,15274601,15425500,15548904,15636387,15871481,16586681,16884341,16910847,17062841,17084212,17300679,17479061,17492517,17579370,18132329,18191669,18350395,18510600,18666101,18751328,19006454,19554281,19744640,19909049,20018356,20069679,20322581,20438584,20507935,20617721,20824425,21095244,21148469,21384149,21905462,22020474,22051315,22090421,22212720,22619369,22795541,22912949,22993407,23264981,23693568,23892475,24377849,24434534,24493155,24609522,24728681,24856504,24989310,25516262,25688887,25721141,25779449,26058955,26122327,26126032,26214850,26327992,26420309,26461578,26594921,26655264,27260655,27292649,27333556,27827751,27963567,28063492,28510901,28670970,29078032,29112662,29297050,29391786,29610089,29618991,29783381,29987172,30418169,30582368,30821621,30869839,31270746,31291435,31339769,31457820,31621574,32712786,33004949,33128275,33234101,33387807,33555008,33577589,33676792,34263701,34405164,35156460,35233721,35632469,36262262,36428789,36656021,36698410,37101304,37280249,37317610,37500224,37526452,37549722,37749384,37886391,37960121,38129909,38252356,38356181,38469269,38525801,38567992,39291434,39753930,41011192,41081955,41153092,41738967,42015161,42183221,42187752,42404192,42468057,42575081,42601732,42910649,43245929,43388991,43525109,43580921,43692521,43820752,44038092,44099770,44222395,44468931,44695481,44702050,44781132,44918009,45251561,45495556,45695849,45917801,46089355,46137591,46361321,46859669,47356024,47357369,47461221,47578361,47704716,47784759,47933174,48384772,48571241,48635462,48736469,49298346,49337174,49506581,49788835,50220281,50388662,50494421,50713589,50877881,51065679,51438854,52241266,52426300,52625849,52919724,53066874,53275527,53429812,53605481,53642460,53874447,53985749,54453639,54598159,55307226,55636792,56130620,56306356,56322614,56367029,56670374,57096184,57218624,57713129,57820601,58035449,58464761,59161301,59428841,59746602,59909909,60390329,60612532,60710249,60792475,61508789,61523894,62367067,62560262,62591391,62664231,62712595,62911560,63174850,63259241,63417941,63629429,64104809,64210361,64233207,64370952,64421369,64421619,64843001,65000981,65632181,65999849,66005462,66325624,66337972,66493196,66527391,66576821,67105664,67205141,67356744,67571129,67727861,68145461,68408534,68643555,68927081,69291221,69395189,69862649,70070201,70329461,70775505,70875871,70953127,71467829,72241769,72417321,72950970,73219792,73270889,73322261,73468852,73834791,74180356,74600275,74616327,74630380,74945299,75013049,75047992,75255114,75493872,75727721,75776337,75778709,75809820,76015864,76237241,76542569,76933334,77731107,77733556,77814368,77997370,78317909,78577772,78621269,79075769,79199275,79637955,79680761,79882169,79995391,80186600,80655734,80786921,80863808,81188201,81202795,81338549,81538901,81789161,82372266,82438901,82838069,84082169,84181481,84287247,84428991,84696662,84715192,84900835,84930606,84947152,85123349,85271801,85517847,85568489,86111155,86555369,86604629,86998421,87044294,87141687,87541164,87633507,87644212,87784469,87872415,88078709,88349956,88959701,89095810,89520330,89539192,89556456,89838101,89984249,90209925,90971784,90985144,91170052,91441769,91683989,91732409,92022761,92051174,92457749,92578372,93133109,93181289,93596844,93710741,93730576,94191221,94862549,94910441,94990280,95039130,95304591,95488352,95565546,95702294,96223920,96581621,96763192,96771989,97356134,97443354,97484729,98006261,98574101,98904809,99565049,99894581,...,37819089185939530848856724904305167551079467166224002613029400977605939053830966201849194051089950375592465768851879059167891613116008854896290534450105473423700730860448791117518996838468762574136183443621594010514599865710536982791307562772466705775232520376893743609598366642726462151365162117824278912623423660638349345853245935327324304215450769036272322778206885007013275614242806197931315960642068533056005294425838633590123855634198548051627719654195138461604272930616740833636460542056972886176082926807490791417630636942216176372203871310996795588434203257929786467257755389575737742628787747563092372249470096064389524337425428780861871019175737085059496400260645945218311456055178971380950510889218966647515619756926848860058795570054276741534794489232186163346494132395893252947775533484069093349491157228703895130247798472007662947243323515848589467063299100389183139214496031112372738577697240802843197223209167576911086445063450117074055952822260802399499779021299483463807820135037643748751675278899496519717390085018859752401764153293263482244028902116677988937788103584159274198910090494647166548585439987145799735040119237185440260306431141338251177671843283362425600103033040671768792956979787393550990408540603594644823737432969916500696518279893006842144625871140505459379475546818615860124440873586322082891707138477064972082008259280435698368434782905475572760551568211854575386969652969444315427670896459895659996801668505372050155362587890329918062432889011306047835068433866280777822950063481792055977367408051494020530831170572911660381579141942394005094683238154851145195201731292365345813728106468284507145970306717257122324025671791489856023385303368624060200250665166059019494279682100347968063066904052157084916283645827024823995609386454388725320059280990250373265796395572884103112346962634468663924300588532410322277635861367696388404696884403736437425857011412829882885638696967423975130412598353127422440224042270365366809418906248807153995588072871440299778234757187258277973914311158478342273556180317284646658088646231526250655178291989943442398780522086939568274262399828477021911761413504540600236305044830554532192337522461438741628636074553340209860742900441863469303849963629000605137597144360191592510813993728481347559438174344639367705980035241727560266264874428871507518801707806070051449495307265295907459340318543221085555754421914278735206137329558247006301407126747646803329903009370684708627234508437965926392068450811129745676707464110942062717034521779811943056694942159680664790654104187492278877111083408875484719249696548836213875279332005501104290716683774510240711730002393121062781613174936800977592184503920221828044727704631774487168286799279068623085062559198884578373731690177217176884726334566027191492185383103503030450093196832555333596388059707749540580967325188083989779073965455531061407196207496964874504286760191622673787223860885861812211959632692495764041858918223375360980108668006141040155429815410711073840521677746713998149640966922958039123805194307083374647288697548032204163274192017531161166696404550005783863418719311424580192406638538984946331769930849193319270136935684900751246248439059625200844996772671029524676611037375234642863001021962643354745006693788847683771201164667300585168166153329430864139609455737363483092858624825467866990855162021766729575571966439261158176474408944169700674224023293978790388394558601017868081899303163329789887343041773582252376603429320063183909618098904379176687172786245715438838382525194699373544765238096962371655880063841681679920770872253945640461604134031510343841946664140029360291172509589625125647895226290034938140073885904781401245051344717729812282856789450135867947107422426007882039746323177829400171184947698107727324317258603083203341304164853336663740360487487348647062263822328542937812097850160393639791699487591708758250921317728409385779961919425462974338408469287954507597046810265003535339243549222919322851843248088343882990749401869660536896391941428119096800956597014416469027074104409798746209880995993226575697644340685586653592805894008777249013775376947067969420676479036341127864018020500625303280589118655213889444354719754247076758916534763672709560980886316841168372618508704690744201703033021676470696582836350184397114108785419982847934070597246254962996118378444675263561364729300729979366257202363483479902900322336405857756354322170334954967664510691145006529787158099185193315628193287359818571552824325622895691676096749940474494003738264116906738165794834663821564231459589970068042623215458365663389037127066796485224835772999562833148509959132937495631052919906337825496813020349845072267005204036031311699200206859614823745059031354673784895913847683759321699105194477109184552034070499752881822545723558183502933676643892942771522316403934137907212805980880244675970455348824143460682997396244671437364196330952877085022581723352597449} 
30871 4042993698894673587281864503050388794749269676133222818733261563602533015303498394294198: {30871,61738,1080065,1296078,1542950,1573401,1851540,1974976,2005445,2221848,2375681,2406534,2499579,2682993,2807441,3393830,4010630,4072596,4751054,4812756,4965401,5453193,5703365,6047188,6445769,6787220,6815861,6844038,7093430,7617233,8144664,8512116,8638840,9162747,9718695,9930158,10138793,10366608,10512689,11534534,11569875,11622533,11662434,12093592,12341200,12890702,13152881,13472273,13605291,13630838,13883850,14185940,14483990,14576441,14809440,15796736,15842945,16196775,16407412,16425461,16479993,16660620,16762565,17023128,17276560,17380788,17577921,17771328,17883761,18126561,18789830,19011534,19151019,19281875,19383893,19436130,19668902,19992744,20115078,20731872,20848516,21355265,21749441,21972521,22491837,22547796,22860278,23036993,23067572,23138250,23323356,23439160,24108278,24680800,25022945,25170953,25443278,25548230,25626318,26369055,26748689,26759572,27765900,27796934,28126992,28509681,29360632,29467193,29607449,29616960,30027534,30657876,31070630,31591424,31642866,32463641,32657540,32812696,32824121,32858193,32909990,33030711,33319080,33746993,34166945,34847681,35079365,35282104,35331041,35540352,35884793,36347540,36651801,36914283,37103668,37284756,37483965,37648598,38199221,38227960,38274393,38343158,39189048,39322275,39491988,39692367,39982896,40383941,41000334,41109878,41436521,41523569,41694328,41943760,42095238,42095990,42446534,43006455,43617048,43668993,43945575,44087679,44517076,44980758,45042758,45873552,46190273,46376630,46875280,46906119,46908065,47186730,47432361,47433521,47815445,48000422,48209990,48682193,49069179,49959161,50066296,50332512,50515188,50718293,51263990,51441365,51607746,52020233,52328081,52436918,52734690,53005240,53024081,53252165,54393393,54451589,54775940,55014158,55039721,55047615,55394582,55651956,55976415,56250336,56289678,56298449,56324583,56624076,56869445,57378534,57851988,58034921,58717456,58937151,59195030,59291908,59630895,59708176,60277841,60361541,60480965,60928334,61516788,61729638,62208401,63281628,63606288,63713012,63902598,63915521,64067318,65532875,65666993,65731128,66057138,66103238,66149655,66339593,66408134,66513881,66787265,67053075,67116929,67171698,68087572,68243334,68342054,69454661,69545990,70163275,70382945,70478033,70559632,70755832,71034036,71136329,71370230,71523280,71557074,71832596,71899761,72182981,72577158,72604852,72953193,73742968,73947519,74005761,74125793,74305334,74328758,75152561,75582993,75765665,77158281,77159489,78346793,78361899,78522821,78639450,78814601,79137761,79379586,79600311,79612001,79662136,80144718,80463690,80814401,81113033,81930293,82014254,82656278,82907030,82922465,82960839,83116495,83455188,83552308,83882080,84195930,84459534,84483921,84505961,84667793,85005561,85644276,85827936,85895492,86920193,88197521,88555214,88703188,89619903,89808992,90392081,90918798,91524740,91836065,92055701,92236361,92285841,92725445,93088838,93287975,93809990,93840393,93901121,94367340,94762275,95019830,95043833,95186201,96556428,96853793,97166945,97267960,98110481,98222215,98446388,99008193,99437381,99488436,99506958,99739794,...,50425452247919374465142299872406890068105956221632003484039201303474585405107954935798925401453267167456621025135838745557188817488011806528387379266807297898267641147265054823358662451291683432181577924828792014019466487614049310388410083696622274366976693835858324812797822190301949535153549490432371883497898214184465794470994580436432405620601025381696430370942513342684367485657074930575087947522758044074673725901118178120165140845598064068836959538926851282139030574155654444848614056075963848234777235743321055223507515922954901829605161747995727451245604343906381956343673852767650323505050330084123162999293461419186032449900571707815828025567649446745995200347527926957748608073571961841267347852291955530020826342569131813411727426739035655379725985642914884461992176527857670597034044645425457799321542971605193506997064629343550596324431354464785956084398800518910852285994708149830318103596321070457596297612223435881448593417933489432074603763014403199333038695065977951743760180050191665002233705199328692956520113358479669869018871057684642992038536155570651917050804778879032265213453992862888731447253316194399646720158982913920347075241521784334903562457711149900800137377387562358390609306383191401320544720804792859764983243959888667595357706524009122859501161520673945839300729091487813499254498115096110522276184636086629442677679040580931157913043873967430347402090949139433849292870625925753903561195279860879995735558007162733540483450520439890749910518681741397113424578488374370430600084642389407969823210735325360707774894097215547175438855923192006792910984206468193593602308389820461084970808624379342861293742289676163098700895721986474697847071158165413600334220221412025992372909467130624084089205402876113221711527769366431994145848605851633760079041320333831021061860763845470816462616845958218565734118043213763036847815156928517872929179204981916567809348550439843847518262623231966840550131137503229920298723027153822412558541665076205327450763828587066370979676249677703965219081544637789698074907089712862210784861642035000873571055986591256531707362782586091032349866437969362549015218006054133648406726440739376256450029948584988838181432737786946480990533922484625738466618172000806850129525813588790014418658304641796745917565792852490274640046988970080355019832571828676691735610408093401932660409687061209945787091390961447407672562552371646941516439410996008401876168996862404439870679160912944836312677917287901856091267748172994235609952147922750289379362373082590742259922879574219720872138916656371836148111211833979625666262065114951833705776007334805720955578366013654282306669857494750375484233249067970122912671893629104059636939509032649557715732372091497446750078931846104498308920236289569179635112754702921989580510804670707266790929110073778128517412943666054107956433584111986372098620607374748542928276662619832672382346922163565049631814514482416282612843589994352055811890964500481306811557341521386873906420547614765120695570328951997532854622563944052165073592409444499529718263397376272217698922690041548222261872733341045151224959081899440256542184718646595109026574465591092360182580913201001661664585412833601126662363561372699568814716500312857150668029283524472993342258385130245028268219556400780224221537772574485519479274316484644123811499767290489321140216029022306100762621919014877568632545258892934232298697725305053851192744801357157442532404217773053183124055698109669835471239093417578546157465205838902249563714994287251784510033592932498059686984129283162207840085122242239894361163005260853948805512042013791789262218853372480388230012786166834197193635053379917520098514539708534993401792956973083043809052600181157262809896568010509386328430903772533561579930264143636432423011470777604455072219804448884987147316649798196083018429771390583749463800213858186388932650122278344334561756971212514373282559233950632451211292383939343462729080353338047118991398963892430469124330784458510654332535826214049195189255237492129067942129352555292036098805879731661613174661324302100930192454247448871457074525345036332018367169262757292560901972048454837152024027334167071040785491540285185925806293005662769011888713018230279414641181755788224496824678272920992268937377362235294262110448466912529485478380559977130578760796328339950661491171259567018081819639067639972488342936484644639870533763115207810341805762893779939956886014254860008706382877465580257754170924383146424762070432434163860922234795666587299325338317685489208984221059779551762085641946119960090723497620611154217852049502755728646966447697332750444198013278843916660841403893208450433995750693799793429689340272048041748932266942479486431660078708472898379861218463578345762265473592636145579402712093999670509096727631410911337244902191857257028696421871912183876283741307840326234627273798432191280910663194992895249818928441270502780030108964470129932}
30872 4055372771234512152999430865336870246261867070757386320363078464803216612545222480782099: {92607,401167,586207,678898,956071,1049002,1172338,1325647,1728104,1788778,1912018,1944117,2097868,2314425,2468720,2527978,2777310,2962464,3208712,3266602,3332772,3353167,3577324,3609801,3758698,4127602,5090745,5430128,5479018,5969962,6015945,6108894,6417008,6469471,6583282,6834727,6951082,7017247,7126581,7219134,7270924,7382071,7558985,8484025,9070782,9125384,9564967,9643882,10010482,10180830,10254802,10266057,10581893,10621162,10640145,10798550,10859552,11109418,11349488,11556847,11841322,12207058,12216996,12768174,12958260,13822144,13911922,14276842,14641618,14895237,15116990,15426500,15549912,16948522,17301801,17493651,17732425,17918122,18140388,18192871,18511800,18548767,18726607,19007698,19082071,19128682,19336053,19370602,19745920,19969471,20216818,20446257,20509265,20825775,20855071,21278910,21545002,21595700,21725985,21973324,22091887,22214160,22268287,22697504,22750762,23112178,23149207,23174384,23437228,23695104,24168748,24436138,24611118,24990930,25348712,25534692,25638058,25690553,25781167,25914840,26060645,26071182,26480287,26656992,26718418,26820104,26958322,27642496,28184745,28396402,28517301,28711109,28834465,29114578,29154195,29298950,29503353,29612071,29989116,30063728,30131767,30172617,30477871,30549202,30851000,30871841,30996487,31097808,31272774,31742962,31859407,33173362,33449465,33768682,33821694,34125682,34168424,34290417,34601358,34707375,34958122,34985034,35158740,35634871,36162417,36264658,36383338,36482537,36488071,36700790,37021200,37332202,37502656,38012908,38164917,38189071,38322345,38439477,38528407,39108562,39489280,39818098,40036712,40139358,40645162,40821925,40877168,41015870,41046709,41232727,41235442,41648850,41695401,42074047,42190488,42296938,42768298,43248871,43583887,43751287,43808009,43810924,44040948,44102630,44180842,44425440,45041301,45238738,45434425,45591082,45825898,45986814,46379585,46529962,46605945,47387136,47415871,47464299,47784950,48574567,48755698,48869068,48986310,49219044,49364985,49400047,49457362,49564927,49713008,49978620,50717071,51032524,51377774,51442282,51558898,52117910,52244654,52252064,52429700,52655984,52840618,52923156,53189842,53310528,54521310,54585298,54667112,55646345,55655502,55927134,56126984,56424871,56472897,57021802,57341940,57514737,57555847,58156064,58225324,58522447,58594100,58783572,59220178,59237982,59566762,59967487,59974344,60767767,60836338,61164736,61500501,61566247,61643242,61664817,61739678,61911353,62044471,62541492,62582870,62679538,62915640,63142857,63143985,63157807,63243148,63669801,64425871,64525097,64900207,65216071,65425572,65531647,66009898,66256550,66468202,66775614,67110016,67155178,67353584,67471137,67564137,68469925,68527402,68810328,69564945,69704369,70312920,70467442,70780095,71264938,71472871,72000633,72314985,72524524,72857578,73312042,73327447,73396820,74114885,74202608,74560498,74635220,75000448,75052904,75099444,75324871,75498768,75772782,75784087,75920242,76259818,76504712,76712362,76895985,76938538,77051602,77135984,77310127,77411619,78374071,78582868,78655377,78677407,79102035,79507860,79641265,82022384,82163910,82306184,82444807,82521237,82893871,83091873,83477934,83762393,84030322,84366442,84375504,84434517,84808384,84832327,84936114,85109465,85150162,85203464,85574647,85821298,86067801,86315167,86491858,86610871,86777982,87050218,87161842,87385042,87641504,87797633,88076184,88085071,88199540,88444790,88571717,88792545,88937862,89390962,89404100,89562264,89790745,89836018,90503122,90756065,90991112,91391698,91392501,91739071,91835602,92029447,92178710,92275182,92594457,92722642,93188071,93719338,94712048,94714738,94917367,94922442,95156722,95409432,95569518,95853897,95866348,96064471,96100977,96769544,97142482,97270924,97472938,98486767,98596692,98674348,98912071,99013162,99085707,99154857,99577670,99612201,...,75638178371879061697713449808610335102158934332448005226058801955211878107661932403698388102179900751184931537703758118335783226232017709792581068900210946847401461720897582235037993676937525148272366887243188021029199731421073965582615125544933411550465040753787487219196733285452924302730324235648557825246847321276698691706491870654648608430901538072544645556413770014026551228485612395862631921284137066112010588851677267180247711268397096103255439308390276923208545861233481667272921084113945772352165853614981582835261273884432352744407742621993591176868406515859572934515510779151475485257575495126184744498940192128779048674850857561723742038351474170118992800521291890436622912110357942761901021778437933295031239513853697720117591140108553483069588978464372326692988264791786505895551066968138186698982314457407790260495596944015325894486647031697178934126598200778366278428992062224745477155394481605686394446418335153822172890126900234148111905644521604798999558042598966927615640270075287497503350557798993039434780170037719504803528306586526964488057804233355977875576207168318548397820180989294333097170879974291599470080238474370880520612862282676502355343686566724851200206066081343537585913959574787101980817081207189289647474865939833001393036559786013684289251742281010918758951093637231720248881747172644165783414276954129944164016518560871396736869565810951145521103136423709150773939305938888630855341792919791319993603337010744100310725175780659836124865778022612095670136867732561555645900126963584111954734816102988041061662341145823320763158283884788010189366476309702290390403462584730691627456212936569014291940613434514244648051343582979712046770606737248120400501330332118038988559364200695936126133808104314169832567291654049647991218772908777450640118561980500746531592791145768206224693925268937327848601177064820644555271722735392776809393768807472874851714022825659765771277393934847950260825196706254844880448084540730733618837812497614307991176145742880599556469514374516555947828622316956684547112360634569293316177292463052501310356583979886884797561044173879136548524799656954043823522827009081200472610089661109064384675044922877483257272149106680419721485800883726938607699927258001210275194288720383185021627987456962695118876348689278735411960070483455120532529748857743015037603415612140102898990614530591814918680637086442171111508843828557470412274659116494012602814253495293606659806018741369417254469016875931852784136901622259491353414928221884125434069043559623886113389884319361329581308208374984557754222166817750969438499393097672427750558664011002208581433367549020481423460004786242125563226349873601955184369007840443656089455409263548974336573598558137246170125118397769156747463380354434353769452669132054382984370766207006060900186393665110667192776119415499081161934650376167979558147930911062122814392414993929749008573520383245347574447721771723624423919265384991528083717836446750721960217336012282080310859630821422147681043355493427996299281933845916078247610388614166749294577395096064408326548384035062322333392809100011567726837438622849160384813277077969892663539861698386638540273871369801502492496878119250401689993545342059049353222074750469285726002043925286709490013387577695367542402329334601170336332306658861728279218911474726966185717249650935733981710324043533459151143932878522316352948817888339401348448046587957580776789117202035736163798606326659579774686083547164504753206858640126367819236197808758353374345572491430877676765050389398747089530476193924743311760127683363359841541744507891280923208268063020687683893328280058720582345019179250251295790452580069876280147771809562802490102689435459624565713578900271735894214844852015764079492646355658800342369895396215454648634517206166406682608329706673327480720974974697294124527644657085875624195700320787279583398975183417516501842635456818771559923838850925948676816938575909015194093620530007070678487098445838645703686496176687765981498803739321073792783882856238193601913194028832938054148208819597492419761991986453151395288681371173307185611788017554498027550753894135938841352958072682255728036041001250606561178237310427778888709439508494153517833069527345419121961772633682336745237017409381488403406066043352941393165672700368794228217570839965695868141194492509925992236756889350527122729458601459958732514404726966959805800644672811715512708644340669909935329021382290013059574316198370386631256386574719637143105648651245791383352193499880948988007476528233813476331589669327643128462919179940136085246430916731326778074254133592970449671545999125666297019918265874991262105839812675650993626040699690144534010408072062623398400413719229647490118062709347569791827695367518643398210388954218369104068140999505763645091447116367005867353287785885543044632807868275814425611961760489351940910697648286921365994792489342874728392661905754170045163446705194898}
30873 4067789528547049424210896729313289452862771616846756998191019640390561825379270176207722: {61742,123476,1018347,1512091,1573503,1758507,2160130,2592156,2622335,2683167,2807623,2868027,3085900,3146802,3703080,3732971,3791967,3949952,4010890,4165965,4443696,4471655,4751362,4813068,4899903,4999158,5365986,5614882,5638047,6191403,6787660,7617727,7802267,7984711,8021260,8145192,8218527,8912471,8954943,9088655,9163341,9502108,9625512,9874923,9930802,10426623,10828701,10906386,11406730,12094376,12424087,12891538,13574440,13606173,13631722,13688076,14186860,14465823,15015723,15234466,15271245,15382203,15931743,16197825,16289328,16664127,17024232,17226703,17277680,17761983,17961647,18310587,18325494,19152261,19283125,19437390,19860316,19991147,20277586,20733216,20867883,21025378,21415263,21664351,21962427,22180123,22675485,23069068,23139750,23245066,23324868,23467591,24187184,24616391,24682400,25422783,25781404,26305762,26877183,26944546,26994625,27210582,27261676,27466655,27753503,27767700,28371880,28511547,28693023,28967980,29052887,29055903,29152882,29296535,29618880,29897371,30126767,30210935,30325227,31593472,31612087,31685890,31918365,32317503,32393550,32814824,32850922,32959986,33298043,33321240,33525130,34046256,34126143,34553120,34668267,34761576,35032123,35155842,35542656,35767522,36253122,36624767,36654207,36916677,37486395,37579660,38023068,38302038,38457087,38563750,38767786,38792143,38872260,39106773,39337804,39985488,40077627,40230156,40437483,41183623,41463744,41697032,42594603,42693247,42710530,43420703,43498882,43671867,43945042,43948425,44983674,45095592,45720556,45823803,46073986,46135144,46276500,46646712,46878320,46909161,47516135,47614443,47833723,48216556,49111111,49361600,49760043,50045890,50338607,50341906,50653023,50732541,50886556,51096460,51188523,51252636,51902037,52437183,52477551,52738110,53497378,53519144,54396987,54575007,54763655,55051185,55531800,55593868,55998303,56253984,56685151,57019362,58206871,58401167,58662843,58721264,58934386,59214898,59233920,59727147,60055068,60209037,60967743,61086335,61315752,61523805,61853163,62141260,62473275,62664823,63182848,63285732,63361607,63445407,63790655,64152447,64439771,64927282,65046943,65315080,65537125,65625392,65648242,65671291,65716386,65819980,66061422,66153945,66271263,66638160,66941623,67493986,67858107,68333890,68386623,68738847,68980221,69695362,69794943,70158730,70564208,70662082,71080704,71677425,71769586,72017911,72695080,72781655,73133547,73242625,73303602,73479465,73828566,74144251,74186043,74207336,74439887,74553031,74569512,74967930,75297196,75338587,76398442,76455920,76548786,76655543,76686316,77066661,77163423,77338347,77780831,78176865,78366981,78378096,78644550,78983976,79053935,79260927,79320007,79384734,79617223,79784763,79965792,80767882,81781965,81877947,82000668,82219756,82873042,83047138,83090863,83388656,83483253,83887520,83890701,84070207,84190476,84191980,84673351,84893068,85532703,86012910,87126071,87234096,87337986,87891150,88086907,88175358,88628203,88816663,88830267,88856973,89034152,89350143,89902711,89961516,90085516,90524687,90655655,91188487,91254507,91569151,91746025,91747104,92380546,92464863,92609517,92753260,93294025,93350111,93502171,93750560,93812238,93816130,93874305,94019307,94373460,94864722,94867042,95630890,96000844,96419980,96546223,96776663,97364386,98138358,98228585,98536123,99014847,99384825,99702303,99918322,...,113457267557818592546570174712915502653238401498672007839088202932817817161492898605547582153269851126777397306555637177503674839348026564688871603350316420271102192581346373352556990515406287722408550330864782031543799597131610948373922688317400117325697561130681230828795099928179386454095486353472836737870270981915048037559737805981972912646352307108816968334620655021039826842728418593793947881926205599168015883277515900770371566902595644154883158962585415384812818791850222500909381626170918658528248780422472374252891910826648529116611613932990386765302609773789359401773266168727213227886363242689277116748410288193168573012276286342585613057527211255178489200781937835654934368165536914142851532667656899942546859270780546580176386710162830224604383467696558490039482397187679758843326600452207280048473471686111685390743395416022988841729970547545768401189897301167549417643488093337118215733091722408529591669627502730733259335190350351222167858466782407198499337063898450391423460405112931246255025836698489559152170255056579257205292459879790446732086706350033966813364310752477822596730271483941499645756319961437399205120357711556320780919293424014753533015529850087276800309099122015306378870939362180652971225621810783934471212298909749502089554839679020526433877613421516378138426640455847580373322620758966248675121415431194916246024777841307095105304348716426718281654704635563726160908958908332946283012689379686979990405005516116150466087763670989754187298667033918143505205301598842333468850190445376167932102224154482061592493511718734981144737425827182015284049714464553435585605193877096037441184319404853521437910920151771366972077015374469568070155910105872180600751995498177058482839046301043904189200712156471254748850937481074471986828159363166175960177842970751119797389186718652309337040887903405991772901765597230966832907584103089165214090653211209312277571034238489648656916090902271925391237795059382267320672126811096100428256718746421461986764218614320899334704271561774833921742933475435026820668540951853939974265938694578751965534875969830327196341566260818704822787199485431065735284240513621800708915134491663596577012567384316224885908223660020629582228701325590407911549890887001815412791433080574777532441981185444042678314523033918103117940105725182680798794623286614522556405123418210154348485921795887722378020955629663256667263265742836205618411988674741018904221380242940409989709028112054125881703525313897779176205352433389237030122392332826188151103565339435829170084826479041994371962312562476836631333250226626454157749089646508641625837996016503312872150051323530722135190007179363188344839524810402932776553511760665484134183113895323461504860397837205869255187677596653735121195070531651530654179003698081574476556149310509091350279590497666000789164179123248621742901975564251969337221896366593184221588622490894623512860280574868021361671582657585436635878898077487292125576754670126082940326004018423120466289446232133221521565033240141994448922900768874117371415582921250123941866092644096612489822576052593483500089213650017351590256157934273740577219915616954838995309792547579957810410807054702253738745317178875602534990318013088574029833112125703928589003065887930064235020081366543051313603494001901755504498459988292592418828367212090449278575874476403600972565486065300188726715899317783474529423226832509102022672069881936371165183675803053604245697909489989369662029125320746757129810287960189551728854296713137530061518358737146316515147575584098120634295714290887114967640191525045039762312616761836921384812402094531031525839992420088080873517528768875376943685678870104814420221657714344203735154034153189436848570368350407603841322267278023646119238969533488200513554843094323181972951775809249610023912494560009991221081462462045941186791466985628813436293550481180919375098462775126274752763953185228157339885758276388923015225407863863522791140430795010606017730647668757968555529744265031648972248205608981610689175824284357290402869791043249407081222313229396238629642987979679727092933022056759960778417682026331747041326130841203908262029437109023383592054061501875909841767355965641668333064159262741230276749604291018128682942658950523505117855526114072232605109099065029412089748509050553191342326356259948543802211791738764888988355135334025790684094187902189938098771607090450439708700967009217573269062966511004864902993532073435019589361474297555579946884579862079455714658472976868687075028290249821423482011214792350720214497384503991464692694378769910204127869646375096990167111381200389455674507318998688499445529877398812486893158759719013476490439061049535216801015612108093935097600620578844471235177094064021354687741543051277965097315583431327553656102211499258645467637170674550508801029931678828314566949211802413721638417942640734027911366046472430382048992188734014312092588992858631255067745170057792347}
30874 4080244084894390235857225629937039757939010011038968825441598869591839661571976389984075: {92613,154345,185214,709573,802334,1172414,1357796,1912142,2098004,2187013,2344676,2651294,3108073,3240195,3456208,3577556,3824036,3857375,3888234,4195736,4628850,4720203,4937440,5055956,5128069,5554620,5924928,6016335,6043369,6417424,6533204,6665544,6706334,7127043,7154648,7219602,7498737,7517396,8048979,8255204,8422323,8484575,8596633,9686569,10026575,10181490,10582579,10860256,10958036,11678053,11877635,11939924,12031890,12217788,12834016,12938942,13166564,13480933,13669454,13902164,14034494,14253162,14438268,14541848,14764142,14896203,15117970,16359579,16968050,17110095,17733575,18141564,18250768,19129934,19287764,19337307,20020964,20361660,20443369,20447583,20509604,20532114,21163786,21242324,21280290,21597100,21719104,22218836,22698976,22851699,22915993,23113694,23682644,24414116,24433992,24825395,24848869,25536348,25899493,25916520,27488241,27644288,27823844,28340869,28514713,28553684,28712971,28836335,29156085,29283236,29790474,30233980,30416379,30853000,31099824,31538067,32226755,33897044,34077095,34211173,34603602,34709625,34867599,34987302,35464850,35836244,36209975,36280776,36385742,36484903,37023600,37097534,37453214,38015396,38164142,38257364,38474473,38644069,38672106,38741204,39458643,39491840,39938942,40368251,40416819,40433636,40504873,40815873,40892514,41018530,41049371,41651550,41710142,42557820,42692773,43090004,43191400,43451970,43698469,43729323,43946648,44183774,44367493,44428320,44536574,45395008,45501524,46035013,46224356,46298414,46348768,46829251,46874456,46974575,47390208,47528835,48337496,48509747,48590325,48688069,48872276,49172255,49222236,49276383,49439979,49981860,50172313,50287695,50697424,51069384,51276116,51381106,51562334,51829680,52121290,52142364,52633093,52733763,52960574,53313984,53436836,53612869,53640208,53651283,53916644,54379683,55284992,55402393,56369490,56792804,57021673,57034602,57150695,57422218,57453057,57668930,57828613,57845625,58151679,58229156,58308390,58597900,59006706,59224142,59918233,59978232,60127456,60263534,60270695,60345234,60955742,61098404,61702000,61743682,61992974,62195616,62545548,63426793,63485924,63608195,63718814,63870575,64065795,64219333,64852069,64931419,65248323,65917563,66346724,66586153,66898930,67214569,67475511,67537364,67643388,67841833,68251364,68336848,68580834,68624293,69110979,69202716,69404953,69414750,69492335,69916244,69970068,70317480,71269742,72324834,72529316,72766676,72965074,72976142,73281253,73401580,74042400,74664404,75005312,75068835,75125893,75512859,75891433,76025816,76329834,76349893,76378142,76644690,76878954,77056814,77676575,77904883,78025369,78217124,78978560,79107165,79636196,79692133,80073424,80246067,80278716,81290324,81643850,81754336,81800869,82031740,82093418,82274975,82465454,82470884,82550569,83297700,83390802,84148094,84193573,84380976,84593876,85529043,85536596,85679653,85797107,86497742,87010969,87167774,87502574,87616018,87621848,88081896,88205260,88361684,88401579,88822347,88850880,89070313,89948569,90082602,90477476,90868850,91182164,91551973,91651796,91973628,92132869,92759170,93059924,93211890,94121495,94774272,94831742,94928598,95020069,95569900,95857895,97149134,97390923,97511396,97738136,97972620,98005391,98020633,98438088,98472363,98574579,98729970,98800094,98914724,98991919,99092133,99129854,99426016,99957240,...,151276356743758123395426899617220670204317868664896010452117603910423756215323864807396776204359801502369863075407516236671566452464035419585162137800421893694802923441795164470075987353875050296544733774486376042058399462842147931165230251089866823100930081507574974438393466570905848605460648471297115650493694642553397383412983741309297216861803076145089291112827540028053102456971224791725263842568274132224021177703354534360495422536794192206510878616780553846417091722466963334545842168227891544704331707229963165670522547768864705488815485243987182353736813031719145869031021558302950970515150990252369488997880384257558097349701715123447484076702948340237985601042583780873245824220715885523802043556875866590062479027707395440235182280217106966139177956928744653385976529583573011791102133936276373397964628914815580520991193888030651788973294063394357868253196401556732556857984124449490954310788963211372788892836670307644345780253800468296223811289043209597999116085197933855231280540150574995006701115597986078869560340075439009607056613173053928976115608466711955751152414336637096795640361978588666194341759948583198940160476948741761041225724565353004710687373133449702400412132162687075171827919149574203961634162414378579294949731879666002786073119572027368578503484562021837517902187274463440497763494345288331566828553908259888328033037121742793473739131621902291042206272847418301547878611877777261710683585839582639987206674021488200621450351561319672249731556045224191340273735465123111291800253927168223909469632205976082123324682291646641526316567769576020378732952619404580780806925169461383254912425873138028583881226869028489296102687165959424093541213474496240801002660664236077977118728401391872252267616208628339665134583308099295982437545817554901280237123961001493063185582291536412449387850537874655697202354129641289110543445470785553618787537614945749703428045651319531542554787869695900521650393412509689760896169081461467237675624995228615982352291485761199112939028749033111895657244633913369094224721269138586632354584926105002620713167959773769595122088347758273097049599313908087647045654018162400945220179322218128769350089845754966514544298213360839442971601767453877215399854516002420550388577440766370043255974913925390237752697378557470823920140966910241065059497715486030075206831224280205797981229061183629837361274172884342223017687657114940824549318232988025205628506990587213319612037482738834508938033751863705568273803244518982706829856443768250868138087119247772226779768638722659162616416749969115508444333635501938876998786195344855501117328022004417162866735098040962846920009572484251126452699747203910368738015680887312178910818527097948673147197116274492340250236795538313494926760708868707538905338264108765968741532414012121800372787330221334385552238830998162323869300752335959116295861822124245628784829987859498017147040766490695148895443543447248847838530769983056167435672893501443920434672024564160621719261642844295362086710986855992598563867691832156495220777228333498589154790192128816653096768070124644666785618200023135453674877245698320769626554155939785327079723396773277080547742739603004984993756238500803379987090684118098706444149500938571452004087850573418980026775155390735084804658669202340672664613317723456558437822949453932371434499301871467963420648087066918302287865757044632705897635776678802696896093175915161553578234404071472327597212653319159549372167094329009506413717280252735638472395617516706748691144982861755353530100778797494179060952387849486623520255366726719683083489015782561846416536126041375367786656560117441164690038358500502591580905160139752560295543619125604980205378870919249131427157800543471788429689704031528158985292711317600684739790792430909297269034412332813365216659413346654961441949949394588249055289314171751248391400641574559166797950366835033003685270913637543119847677701851897353633877151818030388187241060014141356974196891677291407372992353375531962997607478642147585567765712476387203826388057665876108296417639194984839523983972906302790577362742346614371223576035108996055101507788271877682705916145364511456072082002501213122356474620855557777418879016988307035666139054690838243923545267364673490474034818762976806812132086705882786331345400737588456435141679931391736282388985019851984473513778701054245458917202919917465028809453933919611601289345623431025417288681339819870658042764580026119148632396740773262512773149439274286211297302491582766704386999761897976014953056467626952663179338655286256925838359880272170492861833462653556148508267185940899343091998251332594039836531749982524211679625351301987252081399380289068020816144125246796800827438459294980236125418695139583655390735037286796420777908436738208136281999011527290182894232734011734706575571771086089265615736551628851223923520978703881821395296573842731989584978685749456785323811508340090326893410389796}
30875 4092736554681885596137493337811966492756992439050520987492125633746730852997414558193634: {123484,246952,277821,1203501,1697245,1758621,2036694,2622505,2868213,2930845,3024182,3147006,3517014,3671269,3733213,3976941,4320260,4411693,4471945,4780045,5184312,5244670,5366334,5615246,5736054,5832351,6171800,6260317,6293604,6319945,6943275,7406160,7465942,7583934,7802773,7899904,8021780,8166505,8331930,8887392,8913049,8943310,9220861,9396745,9502724,9626136,9799806,9960997,9998316,10059501,10319005,10731972,10829403,11229764,11276094,12382806,12724117,13575320,13697545,14924905,15198697,15235454,15272235,15604534,15932389,15969422,16042520,16290384,16308541,16437054,16458205,17377705,17824942,17909886,18047835,18177310,18326682,19004216,19251024,19408413,19749846,19861604,20504181,20668813,20853246,21051741,21227401,21379743,21479449,21657402,21812772,22146213,22676955,22813460,23625901,24109705,24188752,24848174,25026205,25452075,25637005,25783076,25917097,26552905,26996375,27148880,27212346,27263444,27376152,27512437,27773545,28103053,28373720,28694901,28931646,29603305,30031446,30468932,30470101,30517645,30542490,30764406,30798171,31018621,31745679,31863486,31920435,32395650,32578656,33058057,33328254,34048464,34177693,34453406,34555360,34670541,34779805,35523966,35604361,35692105,35923294,36200989,36604045,36621174,36650988,37792475,38304522,38411341,38453317,38566250,38874780,39150613,39720632,39982294,40555172,41015149,41466432,41735766,42050756,42295309,42371305,42830526,43328702,43924854,44360246,44685711,44795305,45350970,46138136,46279500,46305589,46490132,46649736,46935182,47519245,47821705,48374368,48426505,48529021,49232782,49364800,50265373,50542045,50845566,51014293,51562808,51905403,52480953,52611524,52809769,53030989,53197275,53754366,53862505,53889092,53989250,54421164,54523352,54578613,54933310,55507006,55535400,55646301,55914541,56179821,56390389,56743760,56876905,57023094,57246213,57386046,57780445,57935960,58008159,58105774,58111806,58305764,58593070,59237760,59491081,59794742,59908413,60253534,60421870,60650454,61090345,61338771,61527795,62477325,62565213,62971861,63186944,63224174,63371780,63836730,64095145,64635006,64787100,65114533,65146441,65177955,65629648,65701844,65919972,66275661,66522589,66596086,66642480,66796045,66804861,66887113,67050260,67395805,67731373,67995229,68092512,68252286,68429029,69019561,69106240,69336534,69447621,69523152,70064246,70311684,70991005,71085312,71535044,72506244,72786445,73247375,73249534,73308414,73833354,74046541,74972790,75159320,76046136,76156093,76373005,76500589,76604076,76669117,76914174,76963273,77071659,77127500,77343501,77535572,77584286,77744520,78071101,78181935,78213546,78507253,78675608,78824869,79357405,79383817,79440861,79970976,80155254,80460312,80874966,82367246,82927488,82933405,83394064,84421705,84554235,85189206,85314205,85386494,85421060,85520869,85551903,86133327,86503395,86841406,86931517,86997764,87343734,87395305,87462585,87890084,87896850,88510059,88836213,89306917,89551093,89967348,90191184,90395301,90517851,90661645,90958345,91197733,91433613,91441112,91647606,91751975,92147972,92270288,92553000,92615523,92989461,93293424,93330505,93756640,93818322,94393129,95032270,95228886,95578221,95667446,96195901,96433112,97376197,97771405,98189461,98222222,98723200,99520086,99545245,...,226914535115637185093140349425831005306476802997344015678176405865635634322985797211095164306539702253554794613111274355007349678696053129377743206700632840542204385162692746705113981030812575444817100661729564063087599194263221896747845376634800234651395122261362461657590199856358772908190972706945673475740541963830096075119475611963945825292704614217633936669241310042079653685456837187587895763852411198336031766555031801540743133805191288309766317925170830769625637583700445001818763252341837317056497560844944748505783821653297058233223227865980773530605219547578718803546532337454426455772726485378554233496820576386337146024552572685171226115054422510356978401563875671309868736331073828285703065335313799885093718541561093160352773420325660449208766935393116980078964794375359517686653200904414560096946943372223370781486790832045977683459941095091536802379794602335098835286976186674236431466183444817059183339255005461466518670380700702444335716933564814396998674127796900782846920810225862492510051673396979118304340510113158514410584919759580893464173412700067933626728621504955645193460542967882999291512639922874798410240715423112641561838586848029507066031059700174553600618198244030612757741878724361305942451243621567868942424597819499004179109679358041052867755226843032756276853280911695160746645241517932497350242830862389832492049555682614190210608697432853436563309409271127452321817917816665892566025378759373959980810011032232300932175527341979508374597334067836287010410603197684666937700380890752335864204448308964123184987023437469962289474851654364030568099428929106871171210387754192074882368638809707042875821840303542733944154030748939136140311820211744361201503990996354116965678092602087808378401424312942509497701874962148943973656318726332351920355685941502239594778373437304618674081775806811983545803531194461933665815168206178330428181306422418624555142068476979297313832181804543850782475590118764534641344253622192200856513437492842923973528437228641798669408543123549667843485866950870053641337081903707879948531877389157503931069751939660654392683132521637409645574398970862131470568481027243601417830268983327193154025134768632449771816447320041259164457402651180815823099781774003630825582866161149555064883962370888085356629046067836206235880211450365361597589246573229045112810246836420308696971843591775444756041911259326513334526531485672411236823977349482037808442760485880819979418056224108251763407050627795558352410704866778474060244784665652376302207130678871658340169652958083988743924625124953673262666500453252908315498179293017283251675992033006625744300102647061444270380014358726376689679049620805865553107023521330968268366227790646923009720795674411738510375355193307470242390141063303061308358007396163148953112298621018182700559180995332001578328358246497243485803951128503938674443792733186368443177244981789247025720561149736042723343165315170873271757796154974584251153509340252165880652008036846240932578892464266443043130066480283988897845801537748234742831165842500247883732185288193224979645152105186967000178427300034703180512315868547481154439831233909677990619585095159915620821614109404507477490634357751205069980636026177148059666224251407857178006131775860128470040162733086102627206988003803511008996919976585184837656734424180898557151748952807201945130972130600377453431798635566949058846453665018204045344139763872742330367351606107208491395818979978739324058250641493514259620575920379103457708593426275060123036717474292633030295151168196241268591428581774229935280383050090079524625233523673842769624804189062063051679984840176161747035057537750753887371357740209628840443315428688407470308068306378873697140736700815207682644534556047292238477939066976401027109686188646363945903551618499220047824989120019982442162924924091882373582933971257626872587100962361838750196925550252549505527906370456314679771516552777846030450815727727045582280861590021212035461295337515937111059488530063297944496411217963221378351648568714580805739582086498814162444626458792477259285975959359454185866044113519921556835364052663494082652261682407816524058874218046767184108123003751819683534711931283336666128318525482460553499208582036257365885317901047010235711052228144465210218198130058824179497018101106382684652712519897087604423583477529777976710270668051581368188375804379876197543214180900879417401934018435146538125933022009729805987064146870039178722948595111159893769159724158911429316945953737374150056580499642846964022429584701440428994769007982929385388757539820408255739292750193980334222762400778911349014637997376998891059754797624973786317519438026952980878122099070433602031224216187870195201241157688942470354188128042709375483086102555930194631166862655107312204422998517290935274341349101017602059863357656629133898423604827443276835885281468055822732092944860764097984377468028624185177985717262510135490340115584694}
30876 4105267052659159660194620597068103081566498212680857262390311935481602865895084722034450: {154355,185226,216083,308690,370428,524603,709619,1141043,1419146,1448963,1604668,1818203,2064203,2248619,2344828,2715592,3055041,3169619,3476219,3824284,4196008,4374026,4536273,4578323,4689352,4720509,5006219,5275521,5302588,5311619,5400325,5494763,6104723,6216146,6480390,6912416,6957323,7139819,7155112,7322243,7648072,7714750,7776468,7867005,8049501,8391472,8422869,8604081,8657819,9257700,9440406,9687203,9874880,10027225,10111912,10256138,10291643,10593563,10955603,11109240,11196803,11198913,11375901,11558363,11678819,11849856,11878405,12032670,12086738,12461003,12497895,12834848,13066408,13331088,13412668,13414965,13661723,14037205,14254086,14309296,14439204,14699709,14799443,14997474,15034792,15456803,16097958,16510408,16628689,16844646,16887683,16914141,16969150,17066219,17193266,17244683,18373283,18574209,18669803,19373138,19735619,20053150,20326619,20362980,21165158,21720512,21916072,22271243,22388819,22800083,22853181,23269619,23356106,23406801,23680043,23755270,23879848,23954133,24063780,24435576,24655581,24827005,24908963,25668032,25877884,25901219,26333128,26600243,26737413,26864829,26961866,27265965,27338908,27490023,27804328,27820763,28068988,28506324,28516825,28876536,29083696,29528284,29624769,29789363,29792406,30135803,30235940,30251219,31000643,31279869,32228845,32380643,32486103,32719158,33240803,33412619,33936100,34079305,34220190,34270619,34755553,35411819,35467150,35981219,36283128,36501536,37272261,37797923,38086165,38137643,38259868,38533619,38575528,38646683,38674614,40041928,40370869,40723320,40818519,40886738,40895166,41019208,41064228,41911619,42191819,42327572,42359843,42484648,42560580,42583763,42751619,43194200,43397469,43438208,43701443,43757243,43868819,44437672,45047169,45117457,45260819,45397952,45427523,45703398,45813735,45831986,46146609,46227388,46259963,47035283,47365288,47707933,47795229,48512893,48593475,48691403,48746483,48828232,48867984,49516763,49650790,49697738,49846403,49992381,50230619,50693965,50888363,51052619,51072696,51680109,51798986,51833040,52563445,53285949,53884941,54159803,54931761,54976482,55288576,55647688,56378723,56681738,57029426,57107368,57329701,57425942,57456783,57671363,57672670,57849375,58112665,58208603,58312170,58566472,58798643,59441219,59580948,59601683,59973441,59975819,60082643,60467960,60832758,61706000,61840619,62199648,62530763,62603649,63076134,63272483,63431219,64245789,64453510,64909283,64993053,65014619,65645963,65764405,65887281,66540369,66748043,67361365,67742123,67794088,67898819,68026455,68154190,68316323,68422346,68841157,69207204,69305843,69419250,69565763,69735198,69974604,70085003,70240619,70402773,70929700,71672488,72411683,72419950,72561552,72771484,72882205,72969806,72977963,73337819,73849173,74047200,74195068,74722163,74906428,74977883,75896819,76030792,76268349,76328284,76406219,76514728,76948946,77288138,77344212,77422619,77482408,77777603,78030923,78334643,78917286,78983680,79092683,79214725,79877884,80010973,80050283,80603363,80631549,80736502,80833638,80867272,80983875,81009746,81356003,81631746,81785028,82037060,82098742,82127305,82399965,82556483,83260509,83303100,83420284,83812825,84378973,84844523,85115640,85290203,85385546,85534641,85685819,86079069,86180008,86327603,86382800,86903940,87017243,87158661,87167709,87396938,87458646,87889605,87893296,88244843,88367548,88636619,88734986,88856640,89051473,89073148,89272163,89418805,89692113,90003803,90380301,90632805,90790016,90975681,91003048,92070026,92139563,92448712,92596828,92697536,93153443,93658502,93748912,93949150,94595723,94780416,94836261,95027003,95057670,95074883,95755095,96409375,96674992,96745643,96919465,96935963,96952509,97019494,97180650,97289269,97376138,97744552,98027819,98344510,98444472,98552766,98595803,98737619,98879958,99068243,99894129,99963720,...,340371802673455777639710524138746507959715204496016023517264608798453451484478695816642746459809553380332191919666911532511024518044079694066614810050949260813306577744039120057670971546218863167225650992594346094631398791394832845121768064952200351977092683392043692486385299784538159362286459060418510213610812945745144112679213417945918737939056921326450905003861965063119480528185255781381843645778616797504047649832547702311114700707786932464649476887756246154438456375550667502728144878512755975584746341267417122758675732479945587349834841798971160295907829321368078205319798506181639683659089728067831350245230864579505719036828859027756839172581633765535467602345813506964803104496610742428554598002970699827640577812341639740529160130488490673813150403089675470118447191563039276529979801356621840145420415058335056172230186248068966525189911642637305203569691903502648252930464280011354647199275167225588775008882508192199778005571051053666503575400347221595498011191695351174270381215338793738765077510095468677456510765169737771615877379639371340196260119050101900440092932257433467790190814451824498937268959884312197615361073134668962342757880272044260599046589550261830400927297366045919136612818086541958913676865432351803413636896729248506268664519037061579301632840264549134415279921367542741119967862276898746025364246293584748738074333523921285315913046149280154844964113906691178482726876724998838849038068139060939971215016548348451398263291012969262561896001101754430515615904796527000406550571336128503796306672463446184777480535156204943434212277481546045852149143393660306756815581631288112323552958214560564313732760455314100916231046123408704210467730317616541802255986494531175448517138903131712567602136469413764246552812443223415960484478089498527880533528912253359392167560155956928011122663710217975318705296791692900498722752309267495642271959633627936832713102715468945970748272706815776173713385178146801962016380433288301284770156239264385960292655842962698004112814685324501765228800426305080462005622855561819922797816083736255896604627909490981589024698782456114468361598456293197205852721540865402126745403474990789731037702152948674657724670980061888746686103976771223734649672661005446238374299241724332597325943556332128034943569101754309353820317175548042396383869859843567669215370254630463045457765387663167134062866888989770001789797228508616855235966024223056712664140728821229969127084336162377645110575941693337528616057300167711090367176998478564453310696018307487510254479437125983115886937687430509893999750679879362473247268939525924877513988049509938616450153970592166405570021538089565034518574431208798329660535281996452402549341685970384514581193511617607765563032789961205363585211594954591962537011094244723429668447931527274050838771492998002367492537369745865228705926692755908011665689099779552664765867472683870538580841724604064085014747972756309907636694232461876376730264010378248820978012055269361398868338696399664564695099720425983346768702306622352114246748763750371825598277932289837469467728157780450500267640950052054770768473802821221731659746850864516985929377642739873431232421164106761216235951536626807604970954039265722089499336377111785767009197663790192705060244099629153940810482005705266513495379964877777256485101636271347835727623429210802917696458195900566180147697953350423588269680497527306068016209645809113495551027409160812737093728469968108986087375962240271389430863880568655186562890139412590184555076211438949545442726752294361902887142872661344902920574575135119286937850285510764154437206283593094577519977260264242620552586306626130831057036610314443260664973143032611205462102459568310545711105051222811523966801834070938357716908600464601540664529282969545918855327427748830071737483680029973663244387386137823560374400956886440308880651443542758125295388325378824258291859555684472019657274829166769045676223591590568373421292385031818053191943006273905666589232795094946916744616826944832067527472853071871208609373129748221243666939688188715888928963939039181278799066170279882335253046078995241123978392523611724786088311327070150776162184505627729525302067896925004999192477788223690830248812873054386048827976851570515353566578342216697815327297195088236269245527151659574026979068779845631406635375216294666965065406002077372052282563706569814296314821271351319126102901027652719807188899533014594708980596220305058768084422892666739840653739586238367143975418930606061225084870749464270446033644377052160643492153511974394078083136309730612383608939125290970501334143601168367023521956996065498336589632196437460679476279157040429471317183148605650403046836324281805292801861736533413705531282192064064063224629153833895291946750293982660968306634497775936402911512023651526403089795036484943700847635407241164915253827922202083734098139417291146146976566202042936277766978575893765203235510173377041}
30877 4117835693921139758725238981946501804290372983574474594591286032226450258020762672175667: {246968,277839,463035,493904,555642,2005835,2128719,2376143,2407002,2931035,3394490,3517242,3671507,4073388,4103183,4411979,4780355,5213819,5245010,5736426,5861690,6048364,6260723,6294012,6561039,6628235,6692063,7034028,7342538,7466426,7953882,8640520,8823386,8847923,8943890,9221459,9324219,9560090,9720585,9961643,10368624,10489340,10732668,11132879,11230492,11433107,11472108,11572125,11664702,12343600,12520634,12547403,12587208,12639890,13155443,13886550,14160609,14446607,14812320,14931884,15167868,15384207,15605546,15799808,16043560,16246883,16333010,16663860,16765835,16986779,17774784,17826098,17886620,18049005,18130107,18441722,18793490,18829187,19005448,19176563,19252272,19599612,19921994,19996632,20119002,20638010,20894867,21381129,21463944,21658806,22459528,22496211,22527227,22552188,23041487,24006443,24146937,24328787,24426779,24765612,25266969,25448234,25453725,25789899,26225267,27150640,27395090,27704483,29059707,29849810,30079725,30397394,30470908,30544470,31209068,31747737,31864778,31938844,32085040,32347355,32580768,32617082,32874108,32916410,33212699,33753587,34173635,34755410,34854479,35034159,35036687,35086235,35337923,35632905,35649884,35819772,35891807,36095670,36354620,36653364,36877643,36910355,37174067,37794925,38008432,38502048,38816826,38882963,39499692,39723208,40391819,40442799,41008362,41060399,41337626,41338883,41444627,41706492,42103482,42169307,42420125,42454802,42724703,42759486,42782987,42958898,43314804,43625544,44292426,44688609,45353910,45626920,46981583,47251802,47824835,48219410,48377504,48691727,49078737,49696348,49968947,50052410,50728187,50904150,51245663,51274010,51330285,51566152,51681299,51834194,52909465,53105810,53200725,53855507,53992750,54297760,54424692,54526888,54724787,54752304,55024874,55050479,55547090,56206106,56747440,57389802,57784235,57863292,58011921,59022683,59206610,59319827,59807483,60062892,60289619,60937864,60940202,61035290,61084980,61330107,61342749,61528812,61596342,62037242,62672987,62713427,63491358,63726972,63840870,64791300,65157312,66116114,66526943,66643187,66656508,66950387,67194923,67797107,68096928,68355386,68555097,68618867,68747979,68906812,69110720,69341082,69559610,69639299,70149899,70758863,71047932,71208722,71384210,71846588,72401978,73208090,73242348,73301976,74476185,74546607,75167279,75407507,75584950,76286267,76479503,76609044,76822682,76906634,76953539,77132500,77174603,77698479,77749560,78301226,79153199,79441264,79627667,79964588,80717579,80892623,81110344,81946307,82030298,82464723,82932864,83471532,84101512,84590618,84742610,84858563,85022607,85061387,85526483,85544139,85661052,86138913,86509005,86657404,87468255,87849708,88098383,88662125,88720492,89371422,89590610,89733203,89753567,90409787,90701940,90964355,91249137,92073659,92276272,92559000,92611178,92743835,92781299,92980264,93299472,93514463,93633035,93870364,93919439,94354127,94454747,94614201,95038490,95410355,95643410,96680265,96748736,96853010,96872687,97058042,98465564,98729600,99387407,99456779,99621923,99847355,...,453829070231274370186280698851662010612953605994688031356352811731271268645971594422190328613079404507109589226222548710014699357392106258755486413401265681084408770325385493410227962061625150889634201323459128126175198388526443793495690753269600469302790244522724923315180399712717545816381945413891346951481083927660192150238951223927891650585409228435267873338482620084159307370913674375175791527704822396672063533110063603081486267610382576619532635850341661539251275167400890003637526504683674634112995121689889497011567643306594116466446455731961547061210439095157437607093064674908852911545452970757108466993641152772674292049105145370342452230108845020713956803127751342619737472662147656571406130670627599770187437083122186320705546840651320898417533870786233960157929588750719035373306401808829120193893886744446741562973581664091955366919882190183073604759589204670197670573952373348472862932366889634118366678510010922933037340761401404888671433867129628793997348255593801565693841620451724985020103346793958236608681020226317028821169839519161786928346825400135867253457243009911290386921085935765998583025279845749596820481430846225283123677173696059014132062119400349107201236396488061225515483757448722611884902487243135737884849195638998008358219358716082105735510453686065512553706561823390321493290483035864994700485661724779664984099111365228380421217394865706873126618818542254904643635835633331785132050757518747919961620022064464601864351054683959016749194668135672574020821206395369333875400761781504671728408896617928246369974046874939924578949703308728061136198857858213742342420775508384149764737277619414085751643680607085467888308061497878272280623640423488722403007981992708233931356185204175616756802848625885018995403749924297887947312637452664703840711371883004479189556746874609237348163551613623967091607062388923867331630336412356660856362612844837249110284136953958594627664363609087701564951180237529069282688507244384401713026874985685847947056874457283597338817086247099335686971733901740107282674163807415759897063754778315007862139503879321308785366265043274819291148797941724262941136962054487202835660537966654386308050269537264899543632894640082518328914805302361631646199563548007261651165732322299110129767924741776170713258092135672412471760422900730723195178493146458090225620493672840617393943687183550889512083822518653026669053062971344822473647954698964075616885520971761639958836112448216503526814101255591116704821409733556948120489569331304752604414261357743316680339305916167977487849250249907346525333000906505816630996358586034566503351984066013251488600205294122888540760028717452753379358099241611731106214047042661936536732455581293846019441591348823477020750710386614940484780282126606122616716014792326297906224597242036365401118361990664003156656716492994486971607902257007877348887585466372736886354489963578494051441122299472085446686330630341746543515592309949168502307018680504331761304016073692481865157784928532886086260132960567977795691603075496469485662331685000495767464370576386449959290304210373934000356854600069406361024631737094962308879662467819355981239170190319831241643228218809014954981268715502410139961272052354296119332448502815714356012263551720256940080325466172205254413976007607022017993839953170369675313468848361797114303497905614403890261944261200754906863597271133898117692907330036408090688279527745484660734703212214416982791637959957478648116501282987028519241151840758206915417186852550120246073434948585266060590302336392482537182857163548459870560766100180159049250467047347685539249608378124126103359969680352323494070115075501507774742715480419257680886630857376814940616136612757747394281473401630415365289069112094584476955878133952802054219372377292727891807103236998440095649978240039964884325849848183764747165867942515253745174201924723677500393851100505099011055812740912629359543033105555692060901631455454091164561723180042424070922590675031874222118977060126595888992822435926442756703297137429161611479164172997628324889252917584954518571951918718908371732088227039843113670728105326988165304523364815633048117748436093534368216246007503639367069423862566673332256637050964921106998417164072514731770635802094020471422104456288930420436396260117648358994036202212765369305425039794175208847166955059555953420541336103162736376751608759752395086428361801758834803868036870293076251866044019459611974128293740078357445897190222319787538319448317822858633891907474748300113160999285693928044859169402880857989538015965858770777515079640816511478585500387960668445524801557822698029275994753997782119509595249947572635038876053905961756244198140867204062448432375740390402482315377884940708376256085418750966172205111860389262333725310214624408845997034581870548682698202035204119726715313258267796847209654886553671770562936111645464185889721528195968754936057248370355971434525020270980680231169388}
30878 4130442593909089490548672626423450036729816744600003171170705315748865363490237075180906: {216097,308710,370452,432166,586321,617380,740856,833463,1049206,1141117,1419238,1879837,2282086,2838292,2897926,2985757,3209336,3610503,3636406,4128406,4497238,4639777,4689656,5091735,5275863,5431184,5556157,6110082,6339238,6952438,7018621,7383517,7560455,7648568,7867515,8392016,8604639,8748052,8792535,9072546,9156646,9378704,9441018,10012438,10551042,10605176,10623238,10654621,10800650,10989526,11013807,11199639,11930823,12209446,12432292,12461821,12960780,13111675,13235079,13415835,13824832,13914646,14038115,14279638,14310224,14340135,14644486,14800417,15296144,15429500,15552936,15734010,16099002,16629767,16782944,16845738,17208162,17305297,17315638,17497053,18374497,18515400,18664855,18730321,18780951,18880812,18959835,19374406,19652087,19749760,20054450,20223824,20512276,20583286,20829825,20859217,21187126,21389821,21911206,22218480,22272721,22358275,22393606,22397826,22751802,23116726,23153821,23357638,23408319,23681617,23699712,23756810,24065340,24173476,24499515,24922006,24995790,25669696,26132816,26662176,26739147,26825336,26829930,27323446,27532321,27662583,28074410,28190235,28508172,28618592,28878408,29399418,29598886,29791357,29882991,29994948,30069584,30178503,30913606,30957015,32195916,32488209,33020816,33243037,33257378,33689292,33775366,33828282,33938300,34132438,34386532,34489366,34757807,36665917,36746566,37006621,37148418,37339606,37857121,38088635,38172351,38196817,38366557,38746276,39011335,39471238,39923555,40106300,40653238,40725960,41092635,42330316,43441024,43760221,43832144,44542486,44562355,44774715,44777638,44930257,45120383,45443275,45596091,45600166,45706362,45816705,45930337,46539238,46712212,46813602,47093821,47360086,47510540,47591377,47711027,47759696,47797167,47908266,48127560,48419197,48749821,48871152,48925623,49311162,49374615,49575121,49654010,49817926,50727517,50891857,51336064,51712477,51755768,51802438,52133115,52367677,52666256,53200486,53320631,53474826,53729658,53923732,54000637,54143505,54531930,54677816,54980046,55608656,55641526,56137976,56436577,57012648,57033650,57333419,57729121,57753072,58051537,58167392,58225239,59056568,59249538,59578726,59584812,60140221,60271606,60471880,60502438,61512543,62001286,62006439,62120435,62559738,63155223,63435823,63647197,63682203,64139229,64438347,64439377,64457690,64761286,64972206,65229757,65387617,65438316,66438639,66481606,66805117,66825238,67753283,67872200,68030865,68158610,68440380,68541238,69511106,70089937,70823638,70877703,70934300,70971551,71962438,72329115,72566256,73003072,73588823,74544522,75034321,75078615,75494077,75595846,76172330,76275286,76356225,76519736,76911015,77067238,77151056,77293366,77349228,77751291,77783137,78390817,78542557,79658715,79904977,80083856,80741738,80989125,81357731,81446640,81562237,81637038,81773476,81790332,82038416,82128456,82537311,83320635,83823238,84309159,84383638,84655144,84719686,84969296,85121160,85147837,85167526,85503238,85593121,86084703,86133515,86388400,86794938,86876416,87402886,87514486,87737638,88104157,88251217,88809915,88875344,89808235,90094338,90234914,90521638,90795904,90855046,91406796,91410303,91552935,91627470,91663972,92070167,92293218,92394513,92454776,92519926,93055863,93208417,94070566,94305911,94730576,95081821,95237037,95415866,95590458,95761305,96085537,96228637,96415625,96800317,97025786,97186950,97382806,97492966,97656464,97735968,98366497,99033526,99075517,99174171,99301580,99395476,99692806,99955735,99984762,...,680743605346911555279421048277493015919430408992032047034529217596906902968957391633285492919619106760664383839333823065022049036088159388133229620101898521626613155488078240115341943092437726334451301985188692189262797582789665690243536129904400703954185366784087384972770599569076318724572918120837020427221625891490288225358426835891837475878113842652901810007723930126238961056370511562763687291557233595008095299665095404622229401415573864929298953775512492308876912751101335005456289757025511951169492682534834245517351464959891174699669683597942320591815658642736156410639597012363279367318179456135662700490461729159011438073657718055513678345163267531070935204691627013929606208993221484857109196005941399655281155624683279481058320260976981347626300806179350940236894383126078553059959602713243680290840830116670112344460372496137933050379823285274610407139383807005296505860928560022709294398550334451177550017765016384399556011142102107333007150800694443190996022383390702348540762430677587477530155020190937354913021530339475543231754759278742680392520238100203800880185864514866935580381628903648997874537919768624395230722146269337924685515760544088521198093179100523660801854594732091838273225636173083917827353730864703606827273793458497012537329038074123158603265680529098268830559842735085482239935724553797492050728492587169497476148667047842570631826092298560309689928227813382356965453753449997677698076136278121879942430033096696902796526582025938525123792002203508861031231809593054000813101142672257007592613344926892369554961070312409886868424554963092091704298286787320613513631163262576224647105916429121128627465520910628201832462092246817408420935460635233083604511972989062350897034277806263425135204272938827528493105624886446831920968956178997055761067057824506718784335120311913856022245327420435950637410593583385800997445504618534991284543919267255873665426205430937891941496545413631552347426770356293603924032760866576602569540312478528771920585311685925396008225629370649003530457600852610160924011245711123639845595632167472511793209255818981963178049397564912228936723196912586394411705443081730804253490806949981579462075404305897349315449341960123777493372207953542447469299345322010892476748598483448665194651887112664256069887138203508618707640634351096084792767739719687135338430740509260926090915530775326334268125733777979540003579594457017233710471932048446113425328281457642459938254168672324755290221151883386675057232114600335422180734353996957128906621392036614975020508958874251966231773875374861019787999501359758724946494537879051849755027976099019877232900307941184332811140043076179130069037148862417596659321070563992904805098683371940769029162387023235215531126065579922410727170423189909183925074022188489446859336895863054548101677542985996004734985074739491730457411853385511816023331378199559105329531734945367741077161683449208128170029495945512619815273388464923752753460528020756497641956024110538722797736677392799329129390199440851966693537404613244704228493497527500743651196555864579674938935456315560901000535281900104109541536947605642443463319493701729033971858755285479746862464842328213522432471903073253615209941908078531444178998672754223571534018395327580385410120488199258307881620964011410533026990759929755554512970203272542695671455246858421605835392916391801132360295395906700847176539360995054612136032419291618226991102054818321625474187456939936217972174751924480542778861727761137310373125780278825180369110152422877899090885453504588723805774285745322689805841149150270238573875700571021528308874412567186189155039954520528485241105172613252261662114073220628886521329946286065222410924204919136621091422210102445623047933603668141876715433817200929203081329058565939091837710654855497660143474967360059947326488774772275647120748801913772880617761302887085516250590776650757648516583719111368944039314549658333538091352447183181136746842584770063636106383886012547811333178465590189893833489233653889664135054945706143742417218746259496442487333879376377431777857927878078362557598132340559764670506092157990482247956785047223449572176622654140301552324369011255459050604135793850009998384955576447381660497625746108772097655953703141030707133156684433395630654594390176472538491054303319148053958137559691262813270750432589333930130812004154744104565127413139628592629642542702638252205802055305439614377799066029189417961192440610117536168845785333479681307479172476734287950837861212122450169741498928540892067288754104321286984307023948788156166272619461224767217878250581941002668287202336734047043913992130996673179264392874921358952558314080858942634366297211300806093672648563610585603723473066827411062564384128128126449258307667790583893500587965321936613268995551872805823024047303052806179590072969887401695270814482329830507655844404167468196278834582292293953132404085872555533957151787530406471020346754082}
30879 4143087868411644888196585327322198480926735170732867231167587894163423307010990858154634: {463065,493936,555678,648249,771725,926070,987808,1111284,1573809,2128857,2808169,3423129,3547865,4011670,4103449,4257438,4346889,4752286,4814004,5214157,5454609,5769137,5862070,6192609,6692497,6745857,6788980,7034484,7343014,8146776,8206366,8823958,9165123,9279529,9508857,9560710,9837641,10427638,10428657,10490020,10935065,11133601,11472852,11723380,12058049,12096728,12521446,12588024,13122078,13256470,13384126,13608819,13734969,14068056,14161527,14685076,14828749,14932852,15018657,15540365,15826563,15907764,15934857,16200975,16484289,17281040,17646772,17695846,17887780,18158281,18314169,18442918,18648438,19120180,19286875,19441170,19923286,19995041,20737248,20871969,20978680,21419457,21465336,21966729,22265758,22460984,22866214,22944216,23144250,23329404,23472169,23601015,24148503,24687200,25041268,25094806,25174416,25177489,25268607,25279780,25640345,25812243,25973457,26310886,27758909,27773100,28321218,28893214,29061609,29615137,29624640,29863768,30081675,30216845,30335736,30768414,30874929,30895409,31211092,31599616,31780689,32087120,32493766,32666020,32866809,33304529,33327720,33531670,33590409,33596739,33973558,34127703,34675089,35036457,35549568,35635215,35652196,35773240,36098010,36260214,36631901,36883444,37383009,37493685,37548857,37586980,37658374,38010896,38353126,38504544,39199224,39843988,39993264,40238004,40244895,40985169,41191657,41276020,41789734,41984489,42111615,42422875,42762258,42927888,42983165,43317612,43582669,44099127,44398329,44919056,44992422,45054454,45104376,45286297,46082974,46202281,46370409,46559549,47843089,48012886,48293874,48432845,48657574,48853558,49120729,49531224,49886067,50132875,50533938,50663049,50742423,50896468,50907450,51198657,51579798,51674497,51734049,52450534,52912895,54301280,54790180,55119849,55408966,55523689,55722627,56009409,56696209,58119414,58390265,58745657,59206857,59388175,59699620,60159450,60191449,60426641,60794788,60941816,60979857,61088940,62418136,63495474,63729556,63877688,63932137,64170080,64452377,64694710,65059657,65161536,65234164,65748216,65832820,66425398,66464057,66813729,66954769,67166457,67404665,67507174,68347270,68400249,68559543,69472717,69510820,69708958,69808857,70068318,70073374,70172470,70220403,70675846,71040129,71265810,71299768,71639544,71783614,71862399,72191340,72709240,73306728,73755286,73820710,73966743,74073251,74348134,74481015,74726889,75589850,76016864,77004096,77633652,77703657,77765926,77796029,78999384,79446416,79800729,80212239,80594487,80783638,80885598,80897929,81797895,82016724,82120798,82470069,82675252,82677766,82889254,83412984,83462289,84206964,84338614,84840250,84909604,85333529,85449406,85518972,85550475,85565974,85917796,86441357,86629608,87251088,88584852,88667875,88834057,88874307,89368089,89377218,89920249,90256349,90407409,90707820,90753657,91206349,91253840,91587049,93001929,93839607,93963166,94503604,95068609,95649670,96438820,96565057,96686535,96755008,97141929,97383454,97458309,98157474,99392696,99588737,99722409,99937894,...,1021115408020367332919131572416239523879145613488048070551793826395360354453436087449928239379428660140996575759000734597533073554132239082199844430152847782439919733232117360173012914638656589501676952977783038283894196374184498535365304194856601055931278050176131077459155899353614478086859377181255530640832438837235432338037640253837756213817170763979352715011585895189358441584555767344145530937335850392512142949497643106933344102123360797393948430663268738463315369126652002508184434635538267926754239023802251368276027197439836762049504525396913480887723487964104234615959395518544919050977269184203494050735692593738517157110486577083270517517744901296606402807037440520894409313489832227285663794008912099482921733437024919221587480391465472021439451209269026410355341574689117829589939404069865520436261245175005168516690558744206899575569734927911915610709075710507944758791392840034063941597825501676766325026647524576599334016713153160999510726201041664786494033575086053522811143646016381216295232530286406032369532295509213314847632138918114020588780357150305701320278796772300403370572443355473496811806879652936592846083219404006887028273640816132781797139768650785491202781892098137757409838454259625876741030596297055410240910690187745518805993557111184737904898520793647403245839764102628223359903586830696238076092738880754246214223000571763855947739138447840464534892341720073535448180630174996516547114204417182819913645049645045354194789873038907787685688003305263291546847714389581001219651714008385511388920017390338554332441605468614830302636832444638137556447430180980920270446744893864336970658874643681692941198281365942302748693138370226112631403190952849625406767959483593526345551416709395137702806409408241292739658437329670247881453434268495583641600586736760078176502680467870784033367991130653925956115890375078701496168256927802486926815878900883810498139308146406837912244818120447328521140155534440405886049141299864903854310468717793157880877967528888094012338444055973505295686401278915241386016868566685459768393448251208767689813883728472944767074096347368343405084795368879591617558164622596206380236210424972369193113106458846023973174012940185666240058311930313671203949017983016338715122897725172997791977830668996384104830707305262928061460951526644127189151609579530703007646110763891389136373296162989501402188600666969310005369391685525850565707898072669170137992422186463689907381253008487132935331727825080012585848171900503133271101530995435693359932088054922462530763438311377949347660813062291529681999252039638087419741806818577774632541964148529815849350461911776499216710064614268695103555723293626394988981605845989357207648025057911153543743580534852823296689098369883616090755634784863775887611033282734170289005343794581822152516314478994007102477612109237595686117780078267724034997067299338657994297602418051611615742525173812192255044243918268929722910082697385629130190792031134746462934036165808084196605016089198993694085299161277950040306106919867056342740246291251115476794833796869512408403184473341351500802922850156164312305421408463665194979240552593550957788132928219620293697263492320283648707854609880422814912862117797166268498009131335357301027592991370578115180732298887461822431446017115799540486139894633331769455304908814043507182870287632408753089374587701698540443093860051270764809041492581918204048628937427340486653082227482438211281185409904326958262127886720814168292591641705965559688670418237770553665228634316848636328180256883085708661428617984034708761723725405357860813550856532292463311618850779283732559931780792727861657758919878392493171109830943329781994919429097833616386307378704931637133315153668434571900405502212815073150725801393804621993587848908637756565982283246490215212451040089920989733162158413470681123202870659320926641954330628274375886164976136472774875578667053416058971824487500307137028670774771705120263877155095454159575829018821716999767698385284840750233850480834496202582418559215613625828119389244663731000819064566147666786891817117543836397198510839647005759138236985723371935177570835174358264933981210452328486553516883188575906203690775014997577433364671072490746438619163158146483930554711546060699735026650093445981891585264708807736581454978722080937206339536894219906125648884000895196218006232116156847691119709442888944463814053957378308703082958159421566698599043784126941788660915176304253268678000219521961218758715101431926256791818183675254612248392811338100933131156481930476460535923182234249408929191837150826817375872911504002430803505101070565870988196495009768896589312382038428837471121288413951549445816951209140508972845415878405585209600241116593846576192192189673887461501685875840250881947982904919903493327809208734536070954579209269385109454831102542906221723494745761483766606251202294418251873438440929698606128808833300935727681295609706530520131123}
30880 4155771633565853665611486933658046006011390026899923640884099188812934798199962782843490: {339559,432194,617420,740904,833517,864332,894679,1172642,1234760,1264399,1389105,1481712,1666926,2098412,2187439,2282234,2838476,3292711,3759674,4564172,5129071,5312311,5676584,5795852,5861599,5971514,6017505,6386157,6418672,7128429,7221006,7272812,8256812,8486225,8793105,8994476,9279554,9379312,10183470,10551726,10584637,10862368,11014521,11112314,11680351,11860999,12220164,12309549,12678476,13112525,13123519,13235937,13663519,13904876,14037242,14341065,14654225,14767034,14920999,15120910,15297136,15641457,15735030,16784032,16889911,17209278,17496104,17585070,17781991,18145092,18313292,18356345,18666065,18757408,18782169,18882036,19653361,19683117,19884705,20024876,20076189,20447431,20624551,21102084,21210352,21246476,21309242,21601300,21685759,21979052,22027614,22058465,22359725,22391791,22399278,22920559,23861646,23900225,24327439,24418892,24678439,24864584,24923642,25921560,26130797,26223350,26470158,26543769,26831670,27649664,27664377,27829292,27972657,28076230,28520431,28559276,28620448,28680270,29161755,29288972,29600834,29884929,30255271,30592288,30859000,31105872,31301585,31468020,31599725,31637959,32198004,32499799,33259534,33398637,33565888,33691476,34299321,34416324,34560871,34610594,34631276,34716375,34994106,36099871,36748994,37030800,37329710,37460642,37561902,37642209,37761624,37919670,38651911,38748812,39013865,39304174,39466329,39499520,40108900,40447648,40832525,41024552,41166572,41659650,41718434,42029431,42374252,42481827,42701479,42779642,43339821,43539919,43822412,43874791,44436960,44545442,44565245,44716550,44787212,44795652,45503604,45544831,46104305,46152621,46233452,46307642,46377151,46715276,46816638,46983725,47363234,47399424,47513620,47870791,48130680,48346952,48740649,48999030,49804985,49844012,49991580,50297505,50511751,50960337,51339392,51595025,52265632,53324089,53324352,53478294,53623951,53650672,53659860,54147015,54275839,54390321,54615869,54646892,55064642,55089079,55325166,55892977,55900519,56148820,56380470,56487561,57016344,57195079,57237184,57529689,57756816,58798836,59197772,59449471,59582714,59765982,59989896,60090991,60139168,60357006,61210879,61827212,61914030,62387297,62684601,63439937,63620585,64074391,64143387,64391832,64976418,65023711,65970439,66041632,66486074,66514756,66600151,66757399,67378584,67488633,67550732,67581681,67656564,67757677,67856119,67876600,68264876,68487725,68773064,68795071,68978732,69124461,69419599,69515614,69575551,70354231,70898861,71751319,72019329,72440811,72986361,73280337,73296799,73331834,73493132,74013242,74296836,74624525,74679212,74969609,75714242,75800907,75993485,76060519,76177270,76344702,76361175,76393634,76733114,76824079,77369697,77492552,78022670,78675801,78942476,79661945,79847110,80162359,80212600,80614879,81066751,81306476,81451920,81542705,81818431,82118599,82185270,82291025,82718071,83113449,84660632,85846399,86882048,86888525,86968609,87029791,87179121,87520442,87664288,88355599,89084972,89124710,89549430,89555276,89860514,90239175,90240766,90886550,90989719,91192182,91200332,91412724,91633410,91717279,91860674,92732839,93078476,93424424,93627204,94187642,94609519,94720172,95021080,95182754,95243211,95422054,95519392,95594334,95816532,96255120,96838394,97042065,97499642,97742304,97757719,97851246,98622324,98749230,99150242,99308020,99635852,99638097,...,1361487210693823110558842096554986031838860817984064094069058435193813805937914783266570985839238213521328767678667646130044098072176318776266459240203797043253226310976156480230683886184875452668902603970377384378525595165579331380487072259808801407908370733568174769945541199138152637449145836241674040854443251782980576450716853671783674951756227685305803620015447860252477922112741023125527374583114467190016190599330190809244458802831147729858597907551024984617753825502202670010912579514051023902338985365069668491034702929919782349399339367195884641183631317285472312821279194024726558734636358912271325400980923458318022876147315436111027356690326535062141870409383254027859212417986442969714218392011882799310562311249366558962116640521953962695252601612358701880473788766252157106119919205426487360581681660233340224688920744992275866100759646570549220814278767614010593011721857120045418588797100668902355100035530032768799112022284204214666014301601388886381992044766781404697081524861355174955060310040381874709826043060678951086463509518557485360785040476200407601760371729029733871160763257807297995749075839537248790461444292538675849371031521088177042396186358201047321603709189464183676546451272346167835654707461729407213654547586916994025074658076148246317206531361058196537661119685470170964479871449107594984101456985174338994952297334095685141263652184597120619379856455626764713930907506899995355396152272556243759884860066193393805593053164051877050247584004407017722062463619186108001626202285344514015185226689853784739109922140624819773736849109926184183408596573574641227027262326525152449294211832858242257254931041821256403664924184493634816841870921270466167209023945978124701794068555612526850270408545877655056986211249772893663841937912357994111522134115649013437568670240623827712044490654840871901274821187166771601994891009237069982569087838534511747330852410861875783882993090827263104694853540712587207848065521733153205139080624957057543841170623371850792016451258741298007060915201705220321848022491422247279691191264334945023586418511637963926356098795129824457873446393825172788823410886163461608506981613899963158924150808611794698630898683920247554986744415907084894938598690644021784953497196966897330389303774225328512139774276407017237415281268702192169585535479439374270676861481018521852181831061550652668536251467555959080007159188914034467420943864096892226850656562915284919876508337344649510580442303766773350114464229200670844361468707993914257813242784073229950041017917748503932463547750749722039575999002719517449892989075758103699510055952198039754465800615882368665622280086152358260138074297724835193318642141127985809610197366743881538058324774046470431062252131159844821454340846379818367850148044376978893718673791726109096203355085971992009469970149478983460914823706771023632046662756399118210659063469890735482154323366898416256340058991891025239630546776929847505506921056041512995283912048221077445595473354785598658258780398881703933387074809226489408456986995055001487302393111729159349877870912631121802001070563800208219083073895211284886926638987403458067943717510570959493724929684656427044864943806146507230419883816157062888357997345508447143068036790655160770820240976398516615763241928022821066053981519859511109025940406545085391342910493716843211670785832783602264720590791813401694353078721990109224272064838583236453982204109636643250948374913879872435944349503848961085557723455522274620746251560557650360738220304845755798181770907009177447611548571490645379611682298300540477147751401142043056617748825134372378310079909041056970482210345226504523324228146441257773042659892572130444821848409838273242182844420204891246095867207336283753430867634401858406162658117131878183675421309710995320286949934720119894652977549544551294241497603827545761235522605774171032501181553301515297033167438222737888078629099316667076182704894366362273493685169540127272212767772025095622666356931180379787666978467307779328270109891412287484834437492518992884974667758752754863555715855756156725115196264681119529341012184315980964495913570094446899144353245308280603104648738022510918101208271587700019996769911152894763320995251492217544195311907406282061414266313368866791261309188780352945076982108606638296107916275119382525626541500865178667860261624008309488209130254826279257185259285085405276504411604110610879228755598132058378835922384881220235072337691570666959362614958344953468575901675722424244900339482997857081784134577508208642573968614047897576312332545238922449534435756501163882005336574404673468094087827984261993346358528785749842717905116628161717885268732594422601612187345297127221171207446946133654822125128768256256252898516615335581167787001175930643873226537991103745611646048094606105612359180145939774803390541628964659661015311688808334936392557669164584587906264808171745111067914303575060812942040693508164}
30881 4168494005858217557069015239183242443255292521839198093758096011172098187444317423268627: {30881,648291,771775,926130,987872,1080415,1111356,1296498,1543450,1758963,1852140,1975616,2222568,2500389,2623015,3147618,3423351,3548095,3733939,4257714,4967011,5616338,5639511,5705215,5769511,6447859,6818071,6846258,7095730,7244815,8023340,8206898,8514876,8693778,8957271,9091015,9504572,9628008,9838279,10321015,10428314,10516099,10831509,10909218,11243095,11538274,11626303,11724140,12058831,12385218,13384994,13476643,13491714,13577960,13903879,13919331,14068968,14686028,15275205,15309091,15827589,15848095,16293552,16412732,16668471,17381095,17647916,17966311,18330246,18559058,19017714,19121420,19675282,20562943,20672839,20855276,20857314,20980040,21055863,21756511,21870130,22150551,22267202,22681365,22701811,22891615,22945704,23446760,23602545,23630503,24116098,24193456,24622783,25031095,25042892,25176048,25813917,26244156,26377605,26512940,26558095,26768252,27001625,27217638,27469938,27473815,28136112,28323054,29060431,29370152,29657498,29865704,30037314,30134599,30523615,31024663,31080730,31653126,31815528,31869714,31942711,31963863,32401950,32834791,32968578,33041421,33598917,34530163,34562080,34786615,35293544,35391692,35699095,35775560,35792469,35896483,36208051,36316562,36611215,36628338,36885836,37296876,37385463,38230951,38240360,38418823,38573750,38882340,39158239,39335025,39705237,39846572,39990082,40247505,41474496,41743938,41957360,42114345,42303583,42838914,42930672,43020405,43289095,43431991,43933458,44401251,44531516,44879971,44921968,45732428,45888432,46288500,46658808,46728151,46944338,47202030,48297006,48436015,49374400,49889301,50082536,50136125,50189612,50348832,50354978,50537214,50559560,51280690,51458215,51624486,51915891,51946914,52037143,52491159,52621772,52820071,52967815,53041351,54778015,55057651,55123491,55517818,55546200,55946983,55984015,55994565,56190963,56342853,56401411,56642436,56879505,57786428,57791815,58123218,58394095,58416391,58956261,59230274,59249280,59392025,59727536,60163350,60176431,60433690,60671472,61101799,61536828,61749858,61790818,62305015,62422184,62489475,62577651,63199232,63378079,63561378,64169463,64174240,64987532,65127271,65332040,65733618,66609058,66655440,66818163,67063340,67074825,67138819,67180818,67193478,67805983,67947116,68255406,68308615,69350178,69461463,70072914,70186025,70224957,70500943,71044851,71099136,71270430,71304392,71413303,71448511,71546480,71563183,72196020,72520428,73263802,73498545,73766888,73997215,74078053,74459239,74766018,74987370,75097714,75173960,75316748,76021792,76170991,76515571,76675471,76706252,77009088,77284015,78398448,78522631,78548431,78840271,79399303,79687976,79986528,80217441,80476008,80489790,80528899,80840671,81746371,81956983,81970338,82383314,82552040,82596963,82987749,83143445,83579468,83968978,84223230,84438415,84533431,84570705,84845750,85331095,85524516,85855776,85966330,86223415,86635224,86948503,87148783,87165338,88198254,88226191,88796658,89374071,89648973,89838112,89984844,90108908,90208752,90535509,90572594,91866415,92165948,92404562,92580451,92740818,92871045,93119098,93216871,93349015,94366531,95686178,96025772,96587748,96865690,97315148,97464627,97707116,98241458,98549671,98678095,99062448,99729111,99772134,...,2042230816040734665838263144832479047758291226976096141103587652790720708906872174899856478758857320281993151518001469195066147108264478164399688860305695564879839466464234720346025829277313179003353905955566076567788392748368997070730608389713202111862556100352262154918311798707228956173718754362511061281664877674470864676075280507675512427634341527958705430023171790378716883169111534688291061874671700785024285898995286213866688204246721594787896861326537476926630738253304005016368869271076535853508478047604502736552054394879673524099009050793826961775446975928208469231918791037089838101954538368406988101471385187477034314220973154166541035035489802593212805614074881041788818626979664454571327588017824198965843466874049838443174960782930944042878902418538052820710683149378235659179878808139731040872522490350010337033381117488413799151139469855823831221418151421015889517582785680068127883195651003353532650053295049153198668033426306321999021452402083329572988067150172107045622287292032762432590465060572812064739064591018426629695264277836228041177560714300611402640557593544600806741144886710946993623613759305873185692166438808013774056547281632265563594279537301570982405563784196275514819676908519251753482061192594110820481821380375491037611987114222369475809797041587294806491679528205256446719807173661392476152185477761508492428446001143527711895478276895680929069784683440147070896361260349993033094228408834365639827290099290090708389579746077815575371376006610526583093695428779162002439303428016771022777840034780677108664883210937229660605273664889276275112894860361961840540893489787728673941317749287363385882396562731884605497386276740452225262806381905699250813535918967187052691102833418790275405612818816482585479316874659340495762906868536991167283201173473520156353005360935741568066735982261307851912231780750157402992336513855604973853631757801767620996278616292813675824489636240894657042280311068880811772098282599729807708620937435586315761755935057776188024676888111947010591372802557830482772033737133370919536786896502417535379627767456945889534148192694736686810169590737759183235116329245192412760472420849944738386226212917692047946348025880371332480116623860627342407898035966032677430245795450345995583955661337992768209661414610525856122921903053288254378303219159061406015292221527782778272746592325979002804377201333938620010738783371051701131415796145338340275984844372927379814762506016974265870663455650160025171696343801006266542203061990871386719864176109844925061526876622755898695321626124583059363998504079276174839483613637155549265083928297059631698700923823552998433420129228537390207111446587252789977963211691978714415296050115822307087487161069705646593378196739767232181511269569727551775222066565468340578010687589163644305032628957988014204955224218475191372235560156535448069994134598677315988595204836103223231485050347624384510088487836537859445820165394771258260381584062269492925868072331616168393210032178397987388170598322555900080612213839734112685480492582502230953589667593739024816806368946682703001605845700312328624610842816927330389958481105187101915576265856439240587394526984640567297415709219760845629825724235594332536996018262670714602055185982741156230361464597774923644862892034231599080972279789266663538910609817628087014365740575264817506178749175403397080886187720102541529618082985163836408097257874854680973306164454964876422562370819808653916524255773441628336585183283411931119377340836475541107330457268633697272656360513766171417322857235968069417523447450810715721627101713064584926623237701558567465119863561585455723315517839756784986342219661886659563989838858195667232772614757409863274266630307336869143800811004425630146301451602787609243987175697817275513131964566492980430424902080179841979466324316826941362246405741318641853283908661256548751772329952272945549751157334106832117943648975000614274057341549543410240527754310190908319151658037643433999535396770569681500467700961668992405164837118431227251656238778489327462001638129132295333573783634235087672794397021679294011518276473971446743870355141670348716529867962420904656973107033766377151812407381550029995154866729342144981492877238326316292967861109423092121399470053300186891963783170529417615473162909957444161874412679073788439812251297768001790392436012464232313695382239418885777888927628107914756617406165916318843133397198087568253883577321830352608506537356000439043922437517430202863852513583636367350509224496785622676201866262312963860952921071846364468498817858383674301653634751745823008004861607010202141131741976392990019537793178624764076857674942242576827903098891633902418281017945690831756811170419200482233187693152384384379347774923003371751680501763895965809839806986655618417469072141909158418538770218909662205085812443446989491522967533212502404588836503746876881859397212257617666601871455362591219413061040262246}
30882 4181255102125737756465710017633022554413184076949956880498808645991063220738476597503844: {339581,401297,679118,709757,864388,894737,956381,1234840,1264481,1326077,1389195,1481808,1633937,1667034,1728664,1789358,1944747,2249057,2315175,2345284,2433437,2469520,2528798,2778210,2963424,3108881,3333852,3354257,4196824,4374878,4564468,4721427,5495837,5676952,5922977,6386571,6471581,6585422,7141217,7323677,7519348,7688381,8424507,9128344,10029175,10258142,10269387,10624622,10643595,10776737,11353168,11379857,11591704,11723198,11861777,11880715,11943028,12035010,12310347,12772314,12837344,13040667,13184417,14256858,14442012,14545624,14563037,14655175,14921981,15642471,16363827,16414481,16513624,16972450,17069597,17248097,17307411,17586210,17988952,18357535,18554897,18559108,18577827,18758624,19384481,19916957,20077491,20237571,20366940,20515915,21103452,21156881,21169274,21724736,22029042,22059895,22224628,22393277,23156897,23274257,23360702,23721998,23901775,24387581,24440328,24619098,24738557,25356952,25614737,25698883,26069095,26132491,26225050,26247038,26471874,27327038,27495369,27809752,27838587,28074484,28526571,28682130,29308450,29512923,29534068,29841998,30141857,30241820,30430397,30594272,30776381,30881851,31282914,31285971,31294817,31303615,31470060,31697597,32559377,32805195,33141175,33400803,33419357,33460315,33568064,33591137,33779822,34418556,34992208,35170140,35563982,35988497,36174147,36290184,36626584,36712690,37011617,37332130,37514816,37564338,37764072,37975517,38484881,39306722,39366234,39769410,40049752,40152378,40740881,40826457,40894862,41204907,41246717,41249102,41527457,42088337,42204168,42368477,42420704,42484581,42492952,42618484,42760337,42928157,43202600,43263581,43371518,43542881,43598717,43822219,43877777,43958104,44045117,44055228,44116930,44239615,44486247,44719450,44783582,44798556,45055971,45270077,45436817,45841118,46047581,46107295,46269437,46621095,47210897,47479689,47723292,47800450,47804571,48602925,48654878,48837784,49356878,49452867,49729168,49808215,49847284,49856657,51063137,51227357,51843120,52261594,52446700,52940316,52974557,53087538,53663340,54008081,54333857,54474843,54619411,54942507,55299328,55328754,55658584,55664395,55945314,55958417,56152460,56390417,57037457,57040862,57118552,57165535,57240896,57360540,57844637,57860625,58059581,58323510,58577944,58810877,59201668,59614097,59769858,59985123,60148577,60510542,60735581,61184576,61215137,61268381,61718000,61853537,62211744,62391343,62543837,62603170,62615907,62737015,62936040,63199450,63275918,63444497,63656081,64131677,64258371,64396008,64448381,64546027,64999598,65777215,65900187,65975057,66027581,66519068,66604817,66797274,66814481,67131776,67382952,67913117,68069777,68598642,68832648,69121742,69221188,69262552,69432750,69726979,69988212,70255457,70416507,70803045,70903459,71756381,72199742,72233035,72445509,73353377,73497988,74061600,74659420,74921284,74974471,75123804,75147197,75284418,75351581,75523248,75532467,75805821,75839340,76065917,76575197,76880381,76921035,77303822,77436729,77497624,77920371,78027730,78608348,78654881,78932658,78999040,79916381,80217800,80895296,81234415,81665050,82049104,82124477,82333144,82723997,83276727,83319300,83436868,83621117,83789563,83829175,84058862,84748504,84933895,84963654,85402958,85559284,85605437,85704317,85852577,86346257,86592797,86679642,87079838,87184827,87644824,87749582,88116881,88361981,88600447,88802657,88845411,88873920,89068819,89090884,89130490,89291537,89433100,89574424,89591304,89828381,90245025,90315581,90650535,90996317,91007208,91044881,91089662,91772381,92062877,92208610,92305242,92466904,92615284,92624787,92686227,92754302,92787857,93430552,93633276,93967450,94145935,94232417,94726468,94798848,95027240,95342067,95741582,95882815,96261360,96693904,97481298,97812317,97998060,98600427,98759357,99231677,99609970,99688024,99891581,99913587,99983160,...,3063346224061101998757394717248718571637436840464144211655381479186081063360308262349784718138285980422989727277002203792599220662396717246599533290458543347319759199696352080519038743915969768505030858933349114851682589122553495606095912584569803167793834150528393232377467698060843434260578131543766591922497316511706297014112920761513268641451512291938058145034757685568075324753667302032436592812007551177536428848492929320800032306370082392181845291989806215389946107379956007524553303906614803780262717071406754104828081592319510286148513576190740442663170463892312703847878186555634757152931807552610482152207077781215551471331459731249811552553234703889819208421112321562683227940469496681856991382026736298448765200311074757664762441174396416064318353627807079231066024724067353488769818212209596561308783735525015505550071676232620698726709204783735746832127227131523834276374178520102191824793476505030298975079942573729798002050139459482998532178603124994359482100725258160568433430938049143648885697590859218097108596886527639944542896416754342061766341071450917103960836390316901210111717330066420490435420638958809778538249658212020661084820922448398345391419305952356473608345676294413272229515362778877630223091788891166230722732070563236556417980671333554213714695562380942209737519292307884670079710760492088714228278216642262738642669001715291567843217415343521393604677025160220606344541890524989549641342613251548459740935148935136062584369619116723363057064009915789874640543143168743003658955142025156534166760052171015662997324816405844490907910497333914412669342290542942760811340234681593010911976623931045078823594844097826908246079415110678337894209572858548876220303878450780579036654250128185413108419228224723878218975311989010743644360302805486750924801760210280234529508041403612352100103973391961777868347671125236104488504770783407460780447636702651431494417924439220513736734454361341985563420466603321217658147423899594711562931406153379473642633902586664282037015332167920515887059203836745724158050605700056379305180344753626303069441651185418834301222289042105030215254386106638774852674493867788619140708631274917107579339319376538071919522038820556998720174935790941013611847053949049016145368693175518993375933492006989152314492121915788784184382854579932381567454828738592109022938332291674167409119888488968504206565802000907930016108175056577551697123694218007510413977266559391069722143759025461398805995183475240037757544515701509399813304592986307080079796264164767387592290314934133848042982439186874589045997756118914262259225420455733323897625892445589447548051385735329497650130193842806085310667169880879184966944817537968071622944075173733460631230741604558469890067295109650848272266904354591327662833099848202510867016031383745466457548943436982021307432836327712787058353340234803172104991201898015973982892807254154834847227575521436576765132731754806789168730248092156887390572376093404239388802108497424252589815048267596981082255897483833850120918320759601169028220738873753346430384501390608537225209553420024054502408768550468492936916264225390995584937721657780652873364398784658860881091790476960850946123563829641268444738586353391498805494027394006071903082778974111734345542196896662385467294338051347398621458419683899995308365914726442130521548610862897226259268123763105095621329281580153812294427124477745754612145886812282021459959246682447314633843556229712980874786383660162442504877774925117896679066011254713311660995685902950545908984540770649257125984285853952104126285171176216073582440652569596877389934856552337851197679795342378183584973276759635177479513329492829989345984758287293500849158922136114794911399945461005303715701216506638445219452177404181413865980763546725913269697946849739470645637353120269762969199486475240412043369608611977962779925862991884823127658494928409418324626736001160248176915473462500921411086012324315115360791631465286362478727487056465150999303095155854522250701551442503488607747255677646840877484358167733991193002457193698443000360675451352631509191595532518941017277414710957170115805532712505523074794801943631356985459660550649565727718611072325044992732300094013217472239315857489474439451791664134638182099205079950280337945674755794126423209744364936166242811619018610682659718376946652002685588654018696348470543073359128328666833391442161872134926109248874478264700095797131352380825365982745528912759806034000658565883656276145304295778770375454551025763836745178434014302799393469445791429381607769546702748226787575511452480452127618734512007292410515303211697612964589485029306689767937146115286512413363865241854648337450853627421526918536247635216755628800723349781539728576576569021662384505057627520752645843948714759710479983427626203608212863737627808155328364493307628718665170484237284451299818753606883254755620315322789095818386426499902807183043886829119591560393369}
30883 4194055039556963466140874608068702394662970670272226074748094152242775703719116483681969: {61762,1018677,1080485,1296582,1512581,1543550,1852260,1975744,2160830,2222712,2500551,2592996,2684037,2931605,3086900,3517926,3672221,3704280,3793197,3951232,4167315,4412837,4445136,4967333,5000778,5246030,5705585,6295236,6448277,6562317,6818513,6846702,7096190,7467878,7620197,7987301,8515428,9399185,9878133,9934022,10142741,10516781,11232676,11279022,11410430,11539022,11627057,12428117,12727421,12895718,13477517,13636142,13692516,14191460,14449421,14489630,14582117,14928785,15387213,15740333,15936933,16046680,16413796,16431857,17029752,17387556,17584797,17914542,18052515,18182030,19009144,19158471,19256016,19391441,19676558,20642030,20856628,21032198,21232913,21385287,21663018,21818436,21981077,22187333,22486190,23076548,23198885,23252606,23448280,24117662,24333533,24431537,24770436,25458675,26379315,26769988,26829413,26953286,26983428,27155920,27519581,27780785,27807758,27838662,28137936,29372056,30478013,30550410,30618182,31655178,31696190,31753911,32048261,32587104,32825464,33043563,33066641,33336942,34762190,35041053,35043533,35093105,35295832,35582997,35613617,35700677,35932622,36660492,36884837,36917585,36928647,37118116,37181333,37802275,38035428,38242840,38463341,38804753,39337575,39350564,39370557,39707811,40990557,41068397,41125886,41345678,41710552,41714628,41960080,42111726,42177521,42733061,42791333,43023195,43513022,43740260,43962675,44301102,44534404,44762997,45182033,45362730,45403622,45783230,45891408,46893520,46924371,47205090,47261006,48232196,48386912,48541637,48701261,49007573,49245566,49978733,50062190,50085784,50352096,50669733,51255701,51627834,52488312,52755210,53025880,53116190,53273105,53345973,53536504,53866013,54003250,54435276,54939876,54947630,55069035,55929077,55998195,56272224,56346507,56646108,56992721,58120862,58740304,58960083,59034197,59049351,59314996,59654115,59731408,60074628,60228567,60269198,60604733,61047230,61342293,61873653,62049326,62161460,62309105,62528981,62685233,63306252,63631056,63739428,63885422,63927726,64803900,65057277,65068133,65163377,65558375,65669582,65937156,66082842,66175395,66656213,67079175,67175373,67197834,67748981,67810421,68632253,68761677,69037553,69060326,69124160,69573230,70190575,70587088,70783384,71164181,71398190,71551120,71584938,71700675,71792966,72041501,72211217,72416102,72607901,72633124,72863333,72982317,73222430,73256676,73771672,74002085,74035317,74154941,74593752,74770926,75181997,75363077,76461902,76480720,76689221,76837646,76968593,76983281,77147500,77189717,77764680,78091397,78316478,78377621,78392391,78670050,79345877,79410474,79631307,79693144,79980164,79982381,80495010,80908541,81202781,81751733,82948992,82993131,83117873,83148835,83487876,83914720,83917971,84228690,84607166,84875117,85078013,85561293,85677828,85861344,86040810,86519441,86526485,86578190,86863982,87227021,87485265,87866916,88115597,88657013,88802502,89063032,89654787,89759942,89843936,90427493,90765813,91464856,91598981,91776864,91872485,92577000,92799473,93317616,93324275,93456302,93651605,93888676,93904755,94404060,94473173,94799175,94913877,95170517,95632061,96594012,96872030,97401581,97499397,98260435,98748800,99641357,99778602,...,4084461632081469331676526289664958095516582453952192282207175305581441417813744349799712957517714640563986303036002938390132294216528956328799377720611391129759678932928469440692051658554626358006707811911132153135576785496737994141461216779426404223725112200704524309836623597414457912347437508725022122563329755348941729352150561015351024855268683055917410860046343580757433766338223069376582123749343401570048571797990572427733376408493443189575793722653074953853261476506608010032737738542153071707016956095209005473104108789759347048198018101587653923550893951856416938463837582074179676203909076736813976202942770374954068628441946308333082070070979605186425611228149762083577637253959328909142655176035648397931686933748099676886349921565861888085757804837076105641421366298756471318359757616279462081745044980700020674066762234976827598302278939711647662442836302842031779035165571360136255766391302006707065300106590098306397336066852612643998042904804166659145976134300344214091244574584065524865180930121145624129478129182036853259390528555672456082355121428601222805281115187089201613482289773421893987247227518611746371384332877616027548113094563264531127188559074603141964811127568392551029639353817038503506964122385188221640963642760750982075223974228444738951619594083174589612983359056410512893439614347322784952304370955523016984856892002287055423790956553791361858139569366880294141792722520699986066188456817668731279654580198580181416779159492155631150742752013221053166187390857558324004878606856033542045555680069561354217329766421874459321210547329778552550225789720723923681081786979575457347882635498574726771764793125463769210994772553480904450525612763811398501627071837934374105382205666837580550811225637632965170958633749318680991525813737073982334566402346947040312706010721871483136133471964522615703824463561500314805984673027711209947707263515603535241992557232585627351648979272481789314084560622137761623544196565199459615417241874871172631523511870115552376049353776223894021182745605115660965544067474266741839073573793004835070759255534913891779068296385389473373620339181475518366470232658490384825520944841699889476772452425835384095892696051760742664960233247721254684815796071932065354860491590900691991167911322675985536419322829221051712245843806106576508756606438318122812030584443055565556545493184651958005608754402667877240021477566742103402262831592290676680551969688745854759629525012033948531741326911300320050343392687602012533084406123981742773439728352219689850123053753245511797390643252249166118727997008158552349678967227274311098530167856594119263397401847647105996866840258457074780414222893174505579955926423383957428830592100231644614174974322139411293186756393479534464363022539139455103550444133130936681156021375178327288610065257915976028409910448436950382744471120313070896139988269197354631977190409672206446462970100695248769020176975673075718891640330789542516520763168124538985851736144663232336786420064356795974776341196645111800161224427679468225370960985165004461907179335187478049633612737893365406003211691400624657249221685633854660779916962210374203831152531712878481174789053969281134594831418439521691259651448471188665073992036525341429204110371965482312460722929195549847289725784068463198161944559578533327077821219635256174028731481150529635012357498350806794161772375440205083059236165970327672816194515749709361946612328909929752845124741639617307833048511546883256673170366566823862238754681672951082214660914537267394545312721027532342834645714471936138835046894901621431443254203426129169853246475403117134930239727123170911446631035679513569972684439323773319127979677716391334465545229514819726548533260614673738287601622008851260292602903205575218487974351395634551026263929132985960860849804160359683958932648633653882724492811482637283706567817322513097503544659904545891099502314668213664235887297950001228548114683099086820481055508620381816638303316075286867999070793541139363000935401923337984810329674236862454503312477556978654924003276258264590667147567268470175345588794043358588023036552947942893487740710283340697433059735924841809313946214067532754303624814763100059990309733458684289962985754476652632585935722218846184242798940106600373783927566341058835230946325819914888323748825358147576879624502595536003580784872024928464627390764478837771555777855256215829513234812331832637686266794396175136507767154643660705217013074712000878087844875034860405727705027167272734701018448993571245352403732524625927721905842143692728936997635716767348603307269503491646016009723214020404282263483952785980039075586357249528153715349884485153655806197783267804836562035891381663513622340838400964466375386304768768758695549846006743503361003527791931619679613973311236834938144283818316837077540437819324410171624886893978983045935066425004809177673007493753763718794424515235333203742910725182438826122080524492}
30884 4206893935693043564428077798669758290204569893624353102891090218875250134417955641891413: {92643,401323,679162,802594,956443,1326163,1358236,1419514,1728776,1789474,1912762,1944873,2064739,2315325,2469680,2528962,2652154,2778390,2963616,3170443,3241245,3267874,3334068,3457328,3578716,3858625,3889494,3906139,4498114,4630350,4690568,4824139,4866874,4939040,5057596,5276889,5556420,5557243,5926848,6217762,6667704,6708514,6837403,7384963,7501167,7869045,8393648,8749756,9128936,9387139,9442854,10113043,10270053,10644285,10991674,11199739,11201817,11353904,11845954,12773142,12943162,13170844,13905139,14040845,14282434,14647354,14901033,15038696,15376762,16633001,16849014,16918533,17115645,17308533,17308723,17487139,17739325,18256688,18556123,19089643,19343577,19444963,19977403,20058350,20332003,20454213,20516284,20517245,20538774,21249244,21287190,21553474,21734445,22629883,22706336,22759714,23183408,23446396,23686339,23723554,23761430,23886056,24070020,24620694,25544628,25674688,25700549,26070785,26081334,26368834,26871813,27273045,28060339,28513716,28722281,28845685,28884024,28929739,29091248,29126074,29310350,29514837,29843962,30490123,30836083,30883853,30963045,31284942,31354483,31548297,32494527,32727654,32828962,33027248,33421603,33462485,33729285,33944900,34139194,34496194,34614822,34878909,35172420,35649283,35977904,35990923,36176493,36496733,36715070,37109794,37118216,37155654,37517248,38374339,38544043,38768962,39833914,40154982,40429929,40475142,40733880,41031830,41062681,41711637,41757993,42206904,42313762,42338548,42595339,43449472,43601683,43825061,44058084,44119790,44449256,44786554,45825615,45927273,46313794,46397645,46548514,46721404,46771339,46844441,47443996,47482767,47544285,47803550,48594523,48775162,48880656,49188205,49238196,49420363,49477114,50005413,50713904,50902339,51066643,51229474,51397766,51887083,52138190,52143285,52264982,52450100,52494076,52943748,53898933,54011803,54174739,54654076,54675325,54990738,55619504,55668005,55677174,56148968,56448283,57053142,57364260,58224739,58616900,59025846,59068136,59683996,60283714,60290245,60483640,60793123,60860794,61188544,61272643,61552762,61688829,61763702,61935461,62018517,62070403,62565828,62571942,62589634,62607230,62940120,63167589,63395194,63660523,64550213,65118754,65243443,65269533,65401339,65559163,65610390,66032203,66282350,66451653,66801606,66838714,66920630,66976339,67136128,67182274,67559644,67604323,68044095,68105433,68674845,68837112,69325339,69731501,69984416,70260403,70340280,70807635,70891509,71127964,71976994,72348294,72580368,73253168,73425380,73868349,74023234,74143745,74664260,75029632,75093285,75128676,75528144,75663283,75951034,76969762,77441751,77701825,77930153,78559339,78613444,78711043,78732468,79132815,79468483,79538820,79674285,80031749,80073139,80099504,80304756,80827339,81004875,81481762,81579739,81652914,81789724,82409814,82421445,82493434,82498204,83054914,83676883,83794997,84176674,84408336,84571339,84736954,84841408,84969162,84985904,85166203,85236968,85314739,85520674,85824937,85856314,86405200,86527162,86648323,86743036,87085762,87181293,87197434,87644438,87755554,87831821,87916208,88090234,88110456,88233860,88270339,88479230,88606193,88972494,89438900,89567164,89597112,89883643,90111942,90403797,90540154,90791405,90873634,91051483,91570845,91682236,92069563,92088101,92095162,92214590,92538874,93073989,93242190,94421794,94815139,94959378,95446584,95600900,95609142,95828133,95891589,96249739,96434375,96964339,97205850,97309756,97675568,98037181,98388139,98504373,98530123,98713756,98905734,98955643,99024029,99124263,99238963,99458336,99616430,99694568,99713314,99946003,99975205,...,6126692448122203997514789434497437143274873680928288423310762958372162126720616524699569436276571960845979454554004407585198441324793434493199066580917086694639518399392704161038077487831939537010061717866698229703365178245106991212191825169139606335587668301056786464754935396121686868521156263087533183844994633023412594028225841523026537282903024583876116290069515371136150649507334604064873185624015102355072857696985858641600064612740164784363690583979612430779892214759912015049106607813229607560525434142813508209656163184639020572297027152381480885326340927784625407695756373111269514305863615105220964304414155562431102942662919462499623105106469407779638416842224643125366455880938993363713982764053472596897530400622149515329524882348792832128636707255614158462132049448134706977539636424419193122617567471050031011100143352465241397453418409567471493664254454263047668552748357040204383649586953010060597950159885147459596004100278918965997064357206249988718964201450516321136866861876098287297771395181718436194217193773055279889085792833508684123532682142901834207921672780633802420223434660132840980870841277917619557076499316424041322169641844896796690782838611904712947216691352588826544459030725557755260446183577782332461445464141126473112835961342667108427429391124761884419475038584615769340159421520984177428456556433284525477285338003430583135686434830687042787209354050320441212689083781049979099282685226503096919481870297870272125168739238233446726114128019831579749281086286337486007317910284050313068333520104342031325994649632811688981815820994667828825338684581085885521622680469363186021823953247862090157647189688195653816492158830221356675788419145717097752440607756901561158073308500256370826216838456449447756437950623978021487288720605610973501849603520420560469059016082807224704200207946783923555736695342250472208977009541566814921560895273405302862988835848878441027473468908722683971126840933206642435316294847799189423125862812306758947285267805173328564074030664335841031774118407673491448316101211400112758610360689507252606138883302370837668602444578084210060430508772213277549705348987735577238281417262549834215158678638753076143839044077641113997440349871581882027223694107898098032290737386351037986751866984013978304628984243831577568368765709159864763134909657477184218045876664583348334818239776977937008413131604001815860032216350113155103394247388436015020827954533118782139444287518050922797611990366950480075515089031403018799626609185972614160159592528329534775184580629868267696085964878373749178091995512237828524518450840911466647795251784891178895096102771470658995300260387685612170621334339761758369933889635075936143245888150347466921262461483209116939780134590219301696544533808709182655325666199696405021734032062767490932915097886873964042614865672655425574116706680469606344209982403796031947965785614508309669694455151042873153530265463509613578337460496184313774781144752186808478777604216994848505179630096535193962164511794967667700241836641519202338056441477747506692860769002781217074450419106840048109004817537100936985873832528450781991169875443315561305746728797569317721762183580953921701892247127659282536889477172706782997610988054788012143806165557948223468691084393793324770934588676102694797242916839367799990616731829452884261043097221725794452518536247526210191242658563160307624588854248955491509224291773624564042919918493364894629267687112459425961749572767320324885009755549850235793358132022509426623321991371805901091817969081541298514251968571707904208252570342352432147164881305139193754779869713104675702395359590684756367169946553519270354959026658985659978691969516574587001698317844272229589822799890922010607431402433013276890438904354808362827731961527093451826539395893699478941291274706240539525938398972950480824086739217223955925559851725983769646255316989856818836649253472002320496353830946925001842822172024648630230721583262930572724957454974112930301998606190311709044501403102885006977215494511355293681754968716335467982386004914387396886000721350902705263018383191065037882034554829421914340231611065425011046149589603887262713970919321101299131455437222144650089985464600188026434944478631714978948878903583328269276364198410159900560675891349511588252846419488729872332485623238037221365319436753893304005371177308037392696941086146718256657333666782884323744269852218497748956529400191594262704761650731965491057825519612068001317131767312552290608591557540750909102051527673490356868028605598786938891582858763215539093405496453575151022904960904255237469024014584821030606423395225929178970058613379535874292230573024826727730483709296674901707254843053837072495270433511257601446699563079457153153138043324769010115255041505291687897429519420959966855252407216425727475255616310656728986615257437330340968474568902599637507213766509511240630645578191636772852999805614366087773658239183120786738}
30885 4219771908428781401158884899703732234728803257282527180812114553159067436852665716831328: {123524,1018743,1203891,1512679,1697795,2037354,2129271,2160970,2593164,2684211,2869143,3025162,3087100,3704520,3793443,3951488,3978231,4104247,4167585,4321660,4445424,4473395,4901811,5001102,5185992,5215171,5368074,5834241,5863210,6173800,6321995,6747171,6945525,7035852,7300311,7344442,7408560,7586394,7620691,7805303,7902464,7987819,8334630,8825674,8890272,8915939,9326643,9934666,10001556,10062771,10492060,10937195,11411170,12428923,12590472,12896554,13124634,13158859,13637026,13693404,14164281,14192380,14935756,15203627,15240394,15974602,16313831,16463555,16487511,17030856,17233411,17768931,18798370,19159713,19414743,19756266,19868044,20285482,20900299,21033562,21423651,21672787,21971031,22465352,22558044,22820860,23065143,23078044,23254114,24057143,24856234,25273521,25454842,25645355,25791436,26561555,26955034,27272284,27385032,28382920,28898842,28979260,29164234,29307995,29857570,30087525,30774426,30808161,30901427,31480666,31873866,31930785,32093360,32330211,32478439,32827592,32863714,34059504,34139571,34188803,34775112,35169594,35347099,35585331,35642145,35829084,36105030,36364060,36931041,37556171,38018288,38316942,38512032,38782882,38893099,39122001,39353116,39553251,41284060,41713256,41799671,41992667,42064396,42431125,42465826,42770574,43326036,43591171,43636872,43689111,43962154,43965525,44374666,44765943,44972380,46153096,46397770,46505212,46896560,46927413,47344211,48235324,48667066,48863074,49091481,49130347,49243443,49540872,50917350,51208791,51684619,51744291,51779843,51922233,52758630,52923185,53539976,53658826,53906572,53966856,54311840,55039162,55072605,55561570,55615516,55664691,55677324,55733481,56275872,56408759,58153443,58401755,58744112,59304995,59750871,60203191,60232473,60712713,60956026,61100820,61236364,61547745,62992331,63310356,63392380,63470643,63507822,63697747,64096522,65174208,65562625,65617595,65650928,66087126,66133282,66179685,66477059,66673884,67179831,68317595,69470691,69524380,69657403,69822771,70082106,70087066,70186210,70591664,71165994,71227234,71401354,71705325,71865244,73162743,73271125,73320984,73769674,73835170,73857294,74070611,74215671,74236232,74362666,74582347,74604995,75604550,76070856,76306099,76485680,76844211,76926682,77096649,77609506,78207285,78397473,78675150,78701128,78741114,79415622,80738563,81150007,81981114,82136794,82251772,82486107,82691356,83421104,83429256,83515761,83920160,84103123,84223452,84355042,84449555,85466122,85579713,85582666,86046390,87026044,87232747,87480520,87925350,88538769,88602204,88851451,88909955,89068808,89525994,89580203,90364066,90425571,90725460,90807244,91224211,91291191,91566460,91781725,91782816,92329143,92486299,92645553,93330325,93386627,93787040,93848742,93857913,93884451,93910845,94410180,94522012,94562963,95087191,95092791,95966923,96227171,96464392,96773824,97083274,97402522,97678131,98015146,98266805,98415585,98491132,99423525,99608219,99957466,...,9190038672183305996272184151746155714912310521392432634966144437558243190080924787049354154414857941268969181831006611377797661987190151739798599871375630041959277599089056241557116231747909305515092576800047344555047767367660486818287737753709409503381502451585179697132403094182530302781734394631299775767491949535118891042338762284539805924354536875814174435104273056704225974261001906097309778436022653532609286545478787962400096919110247176545535875969418646169838322139868022573659911719844411340788151214220262314484244776958530858445540728572221327989511391676938111543634559666904271458795422657831446456621233343646654413994379193749434657659704111669457625263336964688049683821408490045570974146080208895346295600933224272994287323523189248192955060883421237693198074172202060466309454636628789683926351206575046516650215028697862096180127614351207240496381681394571502829122535560306575474380429515090896925239827721189394006150418378448995596535809374983078446302175774481705300292814147430946657092772577654291325790659582919833628689250263026185299023214352751311882509170950703630335151990199261471306261916876429335614748974636061983254462767345195036174257917857069420825037028883239816688546088336632890669275366673498692168196211689709669253942014000662641144086687142826629212557876923654010239132281476266142684834649926788215928007005145874703529652246030564180814031075480661819033625671574968648924027839754645379222805446805408187753108857350170089171192029747369623921629429506229010976865426075469602500280156513046988991974449217533472723731492001743238008026871628828282434020704044779032735929871793135236470784532293480724738238245332035013682628718575646628660911635352341737109962750384556239325257684674171634656925935967032230933080908416460252774405280630840703588524124210837056300311920175885333605043013375708313465514312350222382341342910107954294483253773317661541210203363084025956690261399809963652974442271698784134688794218460138420927901707759992846111045996503761547661177611510237172474151817100169137915541034260878909208324953556256502903666867126315090645763158319916324558023481603365857422125893824751322738017958129614215758566116461670996160524807372823040835541161847147048436106079526556980127800476020967456943476365747366352553148563739797144702364486215776327068814996875022502227359665466905512619697406002723790048324525169732655091371082654022531241931799678173209166431277076384196417985550425720113272633547104528199439913778958921240239388792494302162776870944802401544128947317560623767137993268356742786777676261367199971692877677336768342644154157205988492950390581528418255932001509642637554900834452613904214868832225521200381893692224813675409670201885328952544816800713063773982988499299544607532601048094151236399372646830310946063922298508983138361175060020704409516314973605694047921948678421762464504541682726564309730295398195264420367506190744276470662171717128280212718166406325492272757769445144802790943246767692451501550362754962278803507084662216621260039291153504171825611675628660260072163507226305651405478810748792676172986754813164973341958620093196353976582643275371430882552838370691488923805334215759060174496416482082182018215709248336922335203036626590689987156401883014154042195864375259051699985925097744179326391564645832588691678777804371289315286863987844740461436883281373433237263836437660436846064379877740047341943901530668689138942624359150980487327514633324775353690037198033764139934982987057708851637726953622311947771377952857561856312378855513528648220747321957708790632169804569657013553593039386027134550754919830278905532438539988478489968037954274861880502547476766408344384734199836383015911147103649519915335658356532212544241597942290640177739809093840549218411936912059360809288907598459425721236130108825835933888339777588975654469382975484785228254973880208003480744530746420387502764233258036972945346082374894395859087436182461169395452997909285467563566752104654327510465823241767032940522632453074503201973579007371581095329001082026354057894527574786597556823051832244132871510347416598137516569224384405830894070956378981651948697183155833216975134978196900282039652416717947572468423318355374992403914546297615239850841013837024267382379269629233094808498728434857055832047979155130839956008056765962056089045411629220077384986000500174326485616404778327746623434794100287391394057142476097948236586738279418102001975697650968828435912887336311126363653077291510235535302042908398180408337374288144823308640108244680362726534357441356382856203536021877231545909635092838893768455087920069303811438345859537240091595725563945012352560882264580755608742905650266886402170049344619185729729707064987153515172882562257937531846144279131439950282878610824638591212883424465985093479922886155995511452711853353899456260820649764266860945968367287455159279499708421549131660487358774681180107}
30886 4232689076013692730368522069220078194537007221489616491468909076500003524753308231123241: {154405,185286,524773,802646,1358324,1449433,1605188,1912886,2556649,2652326,2716472,2839028,3056031,3241455,3457552,3477349,3578948,3825524,3858875,3889746,4129478,4537743,4630650,4939360,5057924,5304308,5313349,5402075,5496553,5556780,5927232,6045733,6340886,6482490,6535748,6668136,6914656,7157432,7501653,7717250,7778988,7812278,8052111,8794815,8963749,8996228,9260700,9381136,9648278,9733748,9878080,10115192,10553778,10597033,11016663,11112840,11114486,11379591,11853696,11863333,12435524,12501945,12765673,13115075,13238511,13335408,13417028,13674806,14769926,14901999,15002334,15738090,16787296,17071849,17116755,17499512,17740475,17963749,18257872,18669695,18675973,18774278,18885708,19344831,19657183,19686951,20226086,20455539,20540106,20628649,21288570,21983348,22399478,22403634,22707808,22860591,23277349,23691908,23961903,23980933,24835055,24858793,25209433,25546284,25734853,25886324,26341688,27810278,28081690,28197555,28526075,28564868,28724143,28847555,29294708,29634399,29802066,30077392,30261349,30428223,30434473,30753524,31299013,31550343,32239295,32678533,33266002,33698028,33837066,34090355,34231290,34567849,34617066,34617446,34881171,34974278,35478650,36107173,36224075,36277849,36499099,36513376,37112246,37284351,38179286,38182263,38687154,38889926,38998873,39954806,40116700,40383959,40432551,40664006,40908426,41032568,41034490,41065343,41077548,42206149,42498488,42574380,43106948,43348263,43468890,43716313,43746351,44051113,44719849,44786355,45259766,45412672,45455075,45519428,45554149,45720793,46161639,46366816,46386649,46847479,46892792,47220999,47372678,47447108,47522860,47772112,47810799,48140040,48528623,49191395,49241388,49295571,50522149,51089256,51349376,51401098,51605075,52141570,52162668,52580495,52737668,52754391,52981849,53743626,54157545,54449893,54546090,55262953,56120678,56215475,57027432,57444562,57475413,57691370,57768048,57859478,58131515,58174323,58182496,58252148,58497193,58620700,59029674,59622373,59687924,60294155,60980246,61672166,61767706,61926090,62569884,62708966,63096594,63698739,64087813,64155861,64246249,64879273,64956703,64989054,65455308,65657924,65943231,66054496,66561999,66771433,66843206,66924970,67383215,67458570,67889800,68183749,68278388,68863487,68965849,68992388,69229644,69519395,69590233,69596655,69757818,70344840,70369093,71298566,71955808,71981846,72352986,72993466,73000599,73003753,73294611,73430140,73774693,74219588,74236432,74311308,75004453,75034496,76376025,76545455,76748678,77088086,77537924,77935207,78058693,78362533,79137945,79240475,79667828,80309964,80488239,80859858,80950284,81234649,81467760,82063660,82125362,82136233,82558743,82885573,83342355,83423274,83515986,84406343,84413808,84627524,84677096,85190678,85716649,85830503,86605273,86898944,86905475,87048613,87203366,87650122,88116168,88239580,88898512,89573108,89831555,91434039,91651230,91854546,92173033,92463193,92627588,92795290,93097028,93442808,93542678,93620953,93688882,94630213,94887992,94965534,95088570,95261733,95607100,96144783,97189046,97209253,97550324,97761312,98043539,98376410,98476392,98840726,98954228,99030451,99130689,99199923,...,12253384896244407995029578868994874286549747361856576846621525916744324253441233049399138872553143921691958909108008815170396882649586868986398133161834173389279036798785408322076154975663879074020123435733396459406730356490213982424383650338279212671175336602113572929509870792243373737042312526175066367689989266046825188056451683046053074565806049167752232580139030742272301299014669208129746371248030204710145715393971717283200129225480329568727381167959224861559784429519824030098213215626459215121050868285627016419312326369278041144594054304762961770652681855569250815391512746222539028611727230210441928608828311124862205885325838924999246210212938815559276833684449286250732911761877986727427965528106945193795060801244299030659049764697585664257273414511228316924264098896269413955079272848838386245235134942100062022200286704930482794906836819134942987328508908526095337105496714080408767299173906020121195900319770294919192008200557837931994128714412499977437928402901032642273733723752196574595542790363436872388434387546110559778171585667017368247065364285803668415843345561267604840446869320265681961741682555835239114152998632848082644339283689793593381565677223809425894433382705177653088918061451115510520892367155564664922890928282252946225671922685334216854858782249523768838950077169231538680318843041968354856913112866569050954570676006861166271372869661374085574418708100640882425378167562099958198565370453006193838963740595740544250337478476466893452228256039663159498562172572674972014635820568100626136667040208684062651989299265623377963631641989335657650677369162171771043245360938726372043647906495724180315294379376391307632984317660442713351576838291434195504881215513803122316146617000512741652433676912898895512875901247956042974577441211221947003699207040841120938118032165614449408400415893567847111473390684500944417954019083133629843121790546810605725977671697756882054946937817445367942253681866413284870632589695598378846251725624613517894570535610346657128148061328671682063548236815346982896632202422800225517220721379014505212277766604741675337204889156168420120861017544426555099410697975471154476562834525099668430317357277506152287678088155282227994880699743163764054447388215796196064581474772702075973503733968027956609257968487663155136737531418319729526269819314954368436091753329166696669636479553955874016826263208003631720064432700226310206788494776872030041655909066237564278888575036101845595223980733900960151030178062806037599253218371945228320319185056659069550369161259736535392171929756747498356183991024475657049036901681822933295590503569782357790192205542941317990600520775371224341242668679523516739867779270151872286491776300694933842524922966418233879560269180438603393089067617418365310651332399392810043468064125534981865830195773747928085229731345310851148233413360939212688419964807592063895931571229016619339388910302085746307060530927019227156674920992368627549562289504373616957555208433989697010359260193070387924329023589935335400483673283038404676112882955495013385721538005562434148900838213680096218009635074201873971747665056901563982339750886631122611493457595138635443524367161907843403784494255318565073778954345413565995221976109576024287612331115896446937382168787586649541869177352205389594485833678735599981233463658905768522086194443451588905037072495052420382485317126320615249177708497910983018448583547249128085839836986729789258535374224918851923499145534640649770019511099700471586716264045018853246643982743611802183635938163082597028503937143415808416505140684704864294329762610278387509559739426209351404790719181369512734339893107038540709918053317971319957383939033149174003396635688544459179645599781844021214862804866026553780877808709616725655463923054186903653078791787398957882582549412481079051876797945900961648173478434447911851119703451967539292510633979713637673298506944004640992707661893850003685644344049297260461443166525861145449914909948225860603997212380623418089002806205770013954430989022710587363509937432670935964772009828774793772001442701805410526036766382130075764069109658843828680463222130850022092299179207774525427941838642202598262910874444289300179970929200376052869888957263429957897757807166656538552728396820319801121351782699023176505692838977459744664971246476074442730638873507786608010742354616074785393882172293436513314667333565768647488539704436995497913058800383188525409523301463930982115651039224136002634263534625104581217183115081501818204103055346980713736057211197573877783165717526431078186810992907150302045809921808510474938048029169642061212846790451858357940117226759071748584461146049653455460967418593349803414509686107674144990540867022515202893399126158914306306276086649538020230510083010583375794859038841919933710504814432851454950511232621313457973230514874660681936949137805199275014427533019022481261291156383273545705999611228732175547316478366241573476}
30887 4245645557053066789480372387952838649002434601016077328882605751146839351514556123352696: {247048,277929,1203969,1697905,2006485,2037486,2376913,2407782,2869329,3025358,3395590,3548785,3978489,4074708,4258542,4321940,4473685,4781905,5186328,5368422,5738286,5770633,5834619,6050324,6174200,6194217,6262753,6322405,6630385,6945975,7409040,7586886,7805809,7902976,7956462,8169685,8208494,8335170,8643320,8850793,8890848,8916517,8946790,9224449,9511329,9723735,9803622,9964873,10002204,10371984,10430342,10736148,11245285,11575875,11668482,11718417,11726420,12167185,12347600,12551473,12643990,13494342,13891050,14071704,14472417,14600622,14688884,14817120,15172788,15204613,15241382,15312073,15544405,15610606,15804928,15830667,15938593,15975638,16252153,16314889,16669260,16671729,16771285,16992289,17651348,17780544,17831878,18653286,19869332,20000233,20003112,20125542,20512209,20984120,21487813,21874390,22154889,22503501,22706233,22822340,23048977,23607135,24734809,24857846,25180944,25793108,25927189,26249268,26317718,27274052,27386808,27479185,27766117,28161417,28328562,28384760,28431169,29614885,29871512,30339129,30407254,30480788,30810159,31932855,31948933,31949204,32357905,32627662,32927110,32975022,33313177,33599217,33605451,34061712,34466822,34536889,34865809,35084617,35537862,35706085,35903497,36618385,36641413,37186177,37596740,38238409,38319426,38441905,38829486,39512532,39736088,40404949,40570964,41031193,41715417,41800598,42067124,42122535,42847302,43216609,43345574,43942062,44703099,44888713,44930704,45116088,45641720,46130286,46156088,46508228,46571653,46737253,48114286,49712468,49899003,50145875,50361553,50547042,50609329,50744677,50755599,50909684,51290710,51346935,51582872,51925599,51926169,52461417,53123110,53217975,53566417,53883685,53910068,54305689,54544568,54770064,55068409,55668369,55957897,56765840,56899285,57268929,57797684,57958520,58030731,58328468,58334889,58427809,58615990,58760929,59084197,59308885,59403575,59715140,59932209,60175050,60442393,60996009,61362639,61548852,61551735,61616322,61802854,62961332,63747732,63861570,64186720,64660422,64956878,65203335,65655184,65727428,65922085,66664897,67151953,67889649,68119008,68279142,68377606,69550224,70339188,70694198,71059017,71170662,71284290,71462449,71658168,72210060,72728120,72815185,73275875,73862082,74092459,74609905,75112342,75692977,76036576,76530553,76633884,77024064,77101647,77565764,77786198,78212355,78244002,78538009,78563797,78706232,79106502,79178929,80544673,80615439,81762457,81819135,81972997,82072405,82568120,83026993,83426512,83599342,83985334,84128792,84181017,84862250,84931652,85089097,85347985,85355713,85541148,86166843,86240485,86463829,86537055,86652072,86789217,87165817,87182342,87273744,87378222,87924308,87931050,88544511,88749332,89531886,89944760,90087253,90279877,91470369,91787675,91864633,92103589,92306192,92508249,92651559,92774485,92795540,92889135,93010424,93793120,93854826,93949969,94063449,94430053,94644891,94688422,95236009,95644633,96470648,96820777,96904177,96922405,97334132,97483581,97726148,98182962,98260694,98486886,99081744,99489109,99584785,...,18380077344366611992544368303492311429824621042784865269932288875116486380161849574098708308829715882537938363662013222755595323974380303479597199742751260083918555198178112483114232463495818611030185153600094689110095534735320973636575475507418819006763004903170359394264806188365060605563468789262599551534983899070237782084677524569079611848709073751628348870208546113408451948522003812194619556872045307065218573090957575924800193838220494353091071751938837292339676644279736045147319823439688822681576302428440524628968489553917061716891081457144442655979022783353876223087269119333808542917590845315662892913242466687293308827988758387498869315319408223338915250526673929376099367642816980091141948292160417790692591201866448545988574647046378496385910121766842475386396148344404120932618909273257579367852702413150093033300430057395724192360255228702414480992763362789143005658245071120613150948760859030181793850479655442378788012300836756897991193071618749966156892604351548963410600585628294861893314185545155308582651581319165839667257378500526052370598046428705502623765018341901407260670303980398522942612523833752858671229497949272123966508925534690390072348515835714138841650074057766479633377092176673265781338550733346997384336392423379419338507884028001325282288173374285653258425115753847308020478264562952532285369669299853576431856014010291749407059304492061128361628062150961323638067251343149937297848055679509290758445610893610816375506217714700340178342384059494739247843258859012458021953730852150939205000560313026093977983948898435066945447462984003486476016053743257656564868041408089558065471859743586270472941569064586961449476476490664070027365257437151293257321823270704683474219925500769112478650515369348343269313851871934064461866161816832920505548810561261681407177048248421674112600623840351770667210086026751416626931028624700444764682685820215908588966507546635323082420406726168051913380522799619927305948884543397568269377588436920276841855803415519985692222091993007523095322355223020474344948303634200338275831082068521757818416649907112513005807333734252630181291526316639832649116046963206731714844251787649502645476035916259228431517132232923341992321049614745646081671082323694294096872212159053113960255600952041934913886952731494732705106297127479594289404728972431552654137629993750045004454719330933811025239394812005447580096649050339465310182742165308045062483863599356346418332862554152768392835971100851440226545267094209056398879827557917842480478777584988604325553741889604803088257894635121247534275986536713485573555352522734399943385755354673536685288308314411976985900781163056836511864003019285275109801668905227808429737664451042400763787384449627350819340403770657905089633601426127547965976998599089215065202096188302472798745293660621892127844597017966276722350120041408819032629947211388095843897356843524929009083365453128619460590796390528840735012381488552941324343434256560425436332812650984545515538890289605581886493535384903003100725509924557607014169324433242520078582307008343651223351257320520144327014452611302810957621497585352345973509626329946683917240186392707953165286550742861765105676741382977847610668431518120348992832964164364036431418496673844670406073253181379974312803766028308084391728750518103399971850195488358652783129291665177383357555608742578630573727975689480922873766562746866474527672875320873692128759755480094683887803061337378277885248718301960974655029266649550707380074396067528279869965974115417703275453907244623895542755905715123712624757711027057296441494643915417581264339609139314027107186078772054269101509839660557811064877079976956979936075908549723761005094953532816688769468399672766031822294207299039830671316713064425088483195884581280355479618187681098436823873824118721618577815196918851442472260217651671867776679555177951308938765950969570456509947760416006961489061492840775005528466516073945890692164749788791718174872364922338790905995818570935127133504209308655020931646483534065881045264906149006403947158014743162190658002164052708115789055149573195113646103664488265743020694833196275033138448768811661788141912757963303897394366311666433950269956393800564079304833435895144936846636710749984807829092595230479701682027674048534764758539258466189616997456869714111664095958310261679912016113531924112178090823258440154769972001000348652971232809556655493246869588200574782788114284952195896473173476558836204003951395301937656871825774672622252727306154583020471070604085816796360816674748576289646617280216489360725453068714882712765712407072043754463091819270185677787536910175840138607622876691719074480183191451127890024705121764529161511217485811300533772804340098689238371459459414129974307030345765124515875063692288558262879900565757221649277182425766848931970186959845772311991022905423706707798912521641299528533721891936734574910318558999416843098263320974717549362360214}
30888 4258641470509030534273476103322122286022779642336618162959110195581171604400977421984299: {216167,308810,370572,524807,586511,894911,1049546,1141487,1449527,1605292,1818911,2188007,2433911,2716648,2898866,3056229,3210376,3293567,3611673,3825772,4029167,4538037,5093385,5113298,5304652,5402425,5432944,5557967,5678056,5863127,6107111,6112062,6387813,6472847,6482910,6915104,6954698,6960047,7157896,7325111,7562905,7651048,7689887,7717750,7779492,7872167,8052633,8258956,8607429,9075486,9261300,9509447,9878720,10114367,10115848,10608616,10626698,10658111,10804150,10959911,10993106,11113560,11380329,11562911,11854464,11934693,12091466,12104927,12312741,12502755,12681772,12766511,12826607,12964980,13071496,13336272,13367111,13420185,13829312,13906967,14026847,14314864,14658025,14705433,15003306,15164111,15434500,15557976,15624556,15645513,15821207,16104222,16417727,16596527,17251511,17502723,17589630,17927498,17992456,18361105,18521400,18677207,18736511,18762272,18965985,19296556,19467496,19565927,19756160,20230384,20241513,20452847,20836575,20866127,21107556,21161087,21194066,21691511,21900933,21927047,22033326,22064185,22225680,22228972,22632887,22759182,22862073,23161511,23415909,23707392,23726666,23963457,23982527,24836665,24871048,24918911,25003890,25531346,25794911,26137573,26230150,26319647,26477022,26670816,26747817,26834056,27349612,27831911,27979929,28180127,28527925,28933607,29049407,29539852,29803998,30004668,30147911,30188313,30494207,31358687,31476180,31876511,32241385,32811585,33574592,33597911,34092565,34143698,34233510,34769077,34798607,34999024,35480950,35927498,36109607,36515744,37286769,37302911,37339390,37351946,37548556,37771416,37813247,38100985,38153111,38492687,38662367,38689662,39001511,39058007,39314366,39373902,39476577,39936505,40186247,40386577,40452172,40911078,41080212,41257298,42492843,42577140,42713087,42936911,43719287,43775111,43966696,44054111,44798956,44807268,45135013,45415616,45446111,45610881,45721182,46554698,46888487,46995925,47383816,47386511,47726497,47883887,47923806,47961866,48435767,48531769,48711407,48941493,49390665,49462533,49537127,49670110,49717586,49866911,50196407,50418866,50713705,50744927,51092568,51237911,51469706,51700233,51772648,52003487,52583905,52658447,52683376,53306793,54019247,54182207,54290807,54507911,55620556,56163380,56395110,57052150,57129736,57210911,57352009,57426287,57448286,57479139,57695110,58135285,58232807,58244229,58554911,58589416,59268798,59604132,59947367,60154784,60428111,60522698,60856446,60868946,61227911,61440887,61507048,62140585,62598026,62700897,63100686,63637105,64145111,64270953,64478590,64883807,64936511,65018361,65252567,65357066,65673527,65913093,65988911,66532004,66776111,66828527,66985727,67090487,67387585,67396056,67613807,67674132,68084111,68180710,68462580,68658047,68867953,69135698,69195429,69234132,69234892,69439127,69762342,69906911,69948556,70374047,70957300,71978111,72171429,72214346,72247105,72448150,72555698,72910585,72998198,73008911,73026752,73317527,73612693,73779911,74224492,74568702,74643925,75060911,75520847,75776087,75820563,76285967,76358572,76364526,76936065,77374308,77779852,77997746,78064247,78368111,78418727,78671687,78701665,79126511,79580687,79684665,79909612,80084567,80185247,80233400,80767918,80838887,80865102,81328012,81384121,81816852,81841847,82065136,82068980,82130686,82155096,82159285,82891511,82941407,84411817,84412298,84583487,84682727,84996976,85148760,85178447,85623911,85871111,86213896,86364911,86660807,86696526,86937780,87054887,87432626,87492702,87923985,88102226,88283087,88381127,89439698,89572710,89994167,90262575,90335207,90519532,90825344,90910150,91038856,91108298,91210367,91441586,92179727,92323278,92424483,92469911,92518247,92704281,92733632,92773298,93627767,93694958,93785584,94336501,94441998,94745356,94828967,94894216,94924847,95045720,95544224,95621598,95642927,95792355,96280080,96502247,96957205,96990633,97057246,97263911,97327153,97435317,98382790,98402567,98482776,98591142,98639207,...,27570116016549917988816552455238467144736931564177297904898433312674729570242774361148062463244573823806907545493019834133392985961570455219395799614126890125877832797267168724671348695243727916545277730400142033665143302102981460454863213261128228510144507354755539091397209282547590908345203183893899327302475848605356673127016286853619417773063610627442523305312819170112677922783005718291929335308067960597827859636436363887200290757330741529636607627908255938509514966419604067720979735159533234022364453642660786943452734330875592575336622185716663983968534175030814334630903679000712814376386267973494339369863700030939963241983137581248303972979112335008372875790010894064149051464225470136712922438240626686038886802799672818982861970569567744578865182650263713079594222516606181398928363909886369051779053619725139549950645086093586288540382843053621721489145044183714508487367606680919726423141288545272690775719483163568182018451255135346986789607428124949235338906527323445115900878442442292839971278317732962873977371978748759500886067750789078555897069643058253935647527512852110891005455970597784413918785750629288006844246923908185949763388302035585108522773753571208262475111086649719450065638265009898672007826100020496076504588635069129007761826042001987923432260061428479887637673630770962030717396844428798428054503949780364647784021015437624110588956738091692542442093226441985457100877014724905946772083519263936137668416340416224563259326572050510267513576089242108871764888288518687032930596278226408807500840469539140966975923347652600418171194476005229714024080614886484847302062112134337098207789615379405709412353596880442174214714735996105041047886155726939885982734906057025211329888251153668717975773054022514903970777807901096692799242725249380758323215841892522110765572372632511168900935760527656000815129040127124940396542937050667147024028730323862883449761319952984623630610089252077870070784199429890958923326815096352404066382655380415262783705123279978538333137989511284642983532834530711517422455451300507413746623102782636727624974860668769508711000601378945271937289474959748973674070444810097572266377681474253968214053874388842647275698349385012988481574422118469122506623485541441145308318238579670940383401428062902370830429097242099057659445691219391434107093458647328981206444990625067506682078996400716537859092218008171370144973575509197965274113247962067593725795399034519627499293831229152589253956651277160339817900641313584598319741336876763720718166377482906488330612834407204632386841952681871301413979805070228360333028784101599915078633032010305027932462471617965478851171744585254767796004528927912664702503357841712644606496676563601145681076674441026229010605655986857634450402139191321948965497898633822597803144282453709198117940490932838191766895526949415083525180062113228548944920817082143765846035265287393513625048179692929190886194585793261102518572232829411986515151384840638154499218976476818273308335434408372829740303077354504651088264886836410521253986649863780117873460512515476835026885980780216490521678916954216436432246378028518960264439494920025875860279589061929747929826114292647658515112074466771416002647277180523489249446246546054647127745010767005609109879772069961469205649042462126587593125777155099957775293232537979174693937497766075036333413113867945860591963534221384310649844120299711791509312981310538193139633220142025831704592006067416827873077452941461982543899974326061070111594101292419804948961173126554913180860866935843314133858572685568937136566540585944662241965873126371896509413708971040660779118158081403652264759490836716597315619965435469904113862824585641507642430299225033154202599509149047733441310948559746006975069596637632724793826871920533219427281521647655235810736178082427866722795378277163708390326477507801665019332766926963408148926454355684764921640624010442233592239261162508292699774110918836038247124683187577262308547383508186358993727856402690700256313962982531397469725301098821567897359223509605920737022114743285987003246079062173683582724359792670469155496732398614531042249794412549707673153217492682212869136944955846091549467499650925404934590700846118957250153842717405269955066124977211743638892845719552523041511072802147137808887699284425496185304571167496143937465392519868024170297886168267136234887660232154958001500522979456849214334983239870304382300862174182171427428293844709760214838254306005927092952906485307738662008933379090959231874530706605906128725194541225012122864434469925920324734041088179603072324069148568610608065631694637728905278516681305365263760207911434315037578611720274787176691835037057682646793742266826228716950800659206510148033857557189189121194961460545518647686773812595538432837394319850848635832473915773638650273397955280439768658467986534358135560061698368782461949292800582837905101862365477838499125264647394981462076324043540321}
30889 4271676935701616038964561107306096731006476916348980023603543726462267224244502784333868: {463215,494096,555858,1574319,2006615,2377067,2407938,2809079,3395810,4012970,4074972,4348299,4753826,4782215,4815564,4968299,5738658,6050716,6263159,6449531,6630815,6694667,6791180,6819839,7097570,7669947,7956978,8149416,8517084,8643880,8851367,8947370,9168093,9225047,9282539,9563810,9724365,9965519,10323695,10372656,10432047,10736844,11137211,11437559,11476572,11541266,11576625,11669238,12100648,12348400,12388434,12525506,12552287,12644810,13260770,13613229,13891950,14818080,14833559,15173772,15611618,15743399,15805952,15852215,15912924,15940047,16206225,16253207,16339370,16416988,16489659,16670340,16993391,17034059,17286640,17701586,17781696,17833034,17893580,18137199,18164171,18448898,18836519,19022658,19293125,19447470,19530695,19607244,19929746,20004408,20678207,20743968,20860684,21472296,21762167,22490570,22504959,22535999,23151750,23336964,23436834,23452840,23479799,23636639,24015791,24120695,24156333,24334370,24695200,25102946,25287980,26235479,26384445,26834639,26891247,26988684,27715271,27782100,27786215,28143408,28944834,29201244,29232047,29377768,29634240,30345576,30409226,30482764,30624146,31032719,31088810,31221212,31609856,31661334,31791099,31877186,31951276,32504306,32629778,32843327,33049989,33338520,33343458,33542570,33984578,34138773,34187015,35302696,35561088,35589999,35663756,35707631,36924815,37306572,37505835,38297019,38428799,38470859,39168407,39212219,39345225,39715533,39738664,40000466,40006224,40251084,41024418,41205047,41460839,41968240,42975626,43748780,44309778,44705997,45007002,45190847,45301067,45412466,45644680,46097954,46935695,47214270,49017119,49469618,49715692,49988519,50361888,50565215,51037547,51215547,51265739,51350265,51586216,51854378,52050671,52498536,52635436,53221425,53818667,53891247,54548104,54773616,54958370,55532234,55998695,56009085,56027919,56322834,56657124,56714639,56769520,56862338,56954747,57003839,58034493,58971549,59060853,59229770,59518199,59743024,60678258,60814508,60961576,61117727,61366617,61620318,61885947,62541179,63865710,63897866,63898408,64715810,65080847,65255324,65854220,65950044,66035279,66626354,67198434,67210902,68123424,68581773,68933644,69051047,69073778,69525695,69731618,69832047,70169234,70204225,70519271,71075724,71412170,71431919,71806994,71885709,71942799,72877547,73236770,73282826,74372354,74505165,74576379,75193480,75437159,75628299,76476818,76638852,76883810,77107799,77204559,77204831,77658972,79025064,79361399,79472176,79658999,80809898,80861687,81141928,81218687,82062386,83032439,83165005,83430834,83601196,84134248,84245070,84555407,84592665,85578225,85694604,86172429,86433218,86536319,86542665,86543615,86691148,87435695,87884124,88249127,88696625,88903197,89406198,89777426,89861408,89949479,90232176,90445199,90784047,91283440,91284669,91303419,91616879,91871159,92260572,92290919,92312176,92780615,92817647,93016456,93143306,93474506,93897039,94651029,95099579,95189159,95448215,96228572,96300167,96596447,96717885,97224815,97420619,98035599,98234219,99424936,99798006,99887015,...,36760154688733223985088736606984622859649242085569730539864577750232972760323699148197416617659431765075876727324026445511190647948760606959194399485502520167837110396356224966228464926991637222060370307200189378220191069470641947273150951014837638013526009806340718788529612376730121211126937578525199103069967798140475564169355049138159223697418147503256697740417092226816903897044007624389239113744090614130437146181915151849600387676440988706182143503877674584679353288559472090294639646879377645363152604856881049257936979107834123433782162914288885311958045566707752446174538238667617085835181690631325785826484933374586617655977516774997738630638816446677830501053347858752198735285633960182283896584320835581385182403732897091977149294092756992771820243533684950772792296688808241865237818546515158735705404826300186066600860114791448384720510457404828961985526725578286011316490142241226301897521718060363587700959310884757576024601673513795982386143237499932313785208703097926821201171256589723786628371090310617165303162638331679334514757001052104741196092857411005247530036683802814521340607960797045885225047667505717342458995898544247933017851069380780144697031671428277683300148115532959266754184353346531562677101466693994768672784846758838677015768056002650564576346748571306516850231507694616040956529125905064570739338599707152863712028020583498814118608984122256723256124301922647276134502686299874595696111359018581516891221787221632751012435429400680356684768118989478495686517718024916043907461704301878410001120626052187955967897796870133890894925968006972952032107486515313129736082816179116130943719487172540945883138129173922898952952981328140054730514874302586514643646541409366948439851001538224957301030738696686538627703743868128923732323633665841011097621122523362814354096496843348225201247680703541334420172053502833253862057249400889529365371640431817177933015093270646164840813452336103826761045599239854611897769086795136538755176873840553683711606831039971384444183986015046190644710446040948689896607268400676551662164137043515636833299814225026011614667468505260362583052633279665298232093926413463429688503575299005290952071832518456863034264465846683984642099229491292163342164647388588193744424318106227920511201904083869827773905462989465410212594254959188578809457944863105308275259987500090008909438661867622050478789624010895160193298100678930620365484330616090124967727198712692836665725108305536785671942201702880453090534188418112797759655115835684960957555169977208651107483779209606176515789270242495068551973073426971147110705045468799886771510709347073370576616628823953971801562326113673023728006038570550219603337810455616859475328902084801527574768899254701638680807541315810179267202852255095931953997198178430130404192376604945597490587321243784255689194035932553444700240082817638065259894422776191687794713687049858018166730906257238921181592781057681470024762977105882648686868513120850872665625301969091031077780579211163772987070769806006201451019849115214028338648866485040157164614016687302446702514641040288654028905222605621915242995170704691947019252659893367834480372785415906330573101485723530211353482765955695221336863036240697985665928328728072862836993347689340812146506362759948625607532056616168783457501036206799943700390976717305566258583330354766715111217485157261147455951378961845747533125493732949055345750641747384257519510960189367775606122674756555770497436603921949310058533299101414760148792135056559739931948230835406550907814489247791085511811430247425249515422054114592882989287830835162528679218278628054214372157544108538203019679321115622129754159953913959872151817099447522010189907065633377538936799345532063644588414598079661342633426128850176966391769162560710959236375362196873647747648237443237155630393837702884944520435303343735553359110355902617877531901939140913019895520832013922978122985681550011056933032147891781384329499577583436349744729844677581811991637141870254267008418617310041863292967068131762090529812298012807894316029486324381316004328105416231578110299146390227292207328976531486041389666392550066276897537623323576283825515926607794788732623332867900539912787601128158609666871790289873693273421499969615658185190460959403364055348097069529517078516932379233994913739428223328191916620523359824032227063848224356181646516880309539944002000697305942465619113310986493739176401149565576228569904391792946346953117672408007902790603875313743651549345244505454612309166040942141208171633592721633349497152579293234560432978721450906137429765425531424814144087508926183638540371355575073820351680277215245753383438148960366382902255780049410243529058323022434971622601067545608680197378476742918918828259948614060691530249031750127384577116525759801131514443298554364851533697863940373919691544623982045810847413415597825043282599057067443783873469149820637117998833686196526641949435098724720428}
30890 4284752072309831070763563310991433023152565064601104789911077928483732852582161699929069: {432334,586549,617620,741144,833787,956629,1049614,1141561,1173022,1789822,1880569,2099092,2249641,2282974,2899054,3210584,3355129,3611907,3637822,3906901,4376014,4867822,5008501,5093715,5433296,5797732,5924521,6019455,6112458,6420752,6587134,7021369,7130739,7223346,7386409,7563395,7651544,8058334,8488975,8607987,9076074,9570601,10115029,10186770,10226596,10296361,10588067,10609304,10646355,10804850,10865888,11115934,11356112,11382841,11726254,11935467,12105721,12214222,12224124,12775626,12827449,12945694,12965820,13421055,13830208,13909396,13920094,14087701,14315792,14345715,14650222,14806261,15125810,15165109,15302096,15379774,15435500,15558984,15744334,15881941,16105266,16517912,17214858,17311899,17312149,17490601,17503857,18150972,18522600,18582651,18737749,18788259,18967215,19018894,19093429,19757440,19891155,20228734,20231696,20521235,20837925,21217232,21253396,21316222,21398329,21608300,21919822,21986212,22227120,22366975,22634389,22760658,22810681,23125822,23417427,23691061,23708928,23869386,24182932,24209854,24509055,24625482,25005510,25363544,25533022,25653214,25705547,25929960,26075855,26142992,26321401,26552379,26672544,26734222,26749551,26840370,27194581,27658624,27673347,27813934,28053694,28533987,28629728,29171205,29316050,29410866,29894619,30006612,30149929,30328222,30869000,30889859,31015189,31115952,31249112,31291026,31609975,31642414,32208444,32395861,32835454,33193054,33600169,33735855,34503022,34727625,34771331,35005446,35155251,35179260,35854996,35984912,36501555,36722210,37021609,37042800,37354414,37473022,37524544,37654419,37872469,37931970,38103455,38212309,38551861,38593112,38934992,39026515,39060649,39131854,39512320,39939095,40460768,40483026,40905694,41673150,41732254,42215112,42322174,42388132,42604021,42771961,43383022,43417251,43778089,43801866,43854094,44066652,44128370,44451360,44457944,44579695,45137939,45265774,45282421,45518364,45613839,45724146,45936219,46282069,46323022,46633215,46831818,47414784,47445049,47453332,47492001,47729591,47815779,47926914,47965054,48756459,48769849,48944667,49595509,49673330,49742096,49837822,50007780,50015187,50254741,50313855,50976867,51062692,51077161,51241429,51589822,52061689,52275146,52460300,52639294,52954044,53207029,53341379,53341632,53495634,53668112,54185941,54348841,54685975,54699224,55663822,55911107,55959858,56360254,57055850,57355727,57867214,58075669,58098814,59079704,59202361,59607996,60000699,60004981,60009336,60295822,60376626,60988414,61285429,61445161,61536627,62083369,62144615,62561269,62717374,62952360,63197461,63460507,63673849,63753022,64463439,64482770,64941049,65415061,65572921,65623170,65794295,66046069,66464667,66833209,67149184,67195822,67510503,67775401,67779647,68118699,68185130,68287396,68467020,69146931,69538154,69597214,69998048,70821405,70961900,70999187,71052661,71854996,71983189,72219214,73031488,73374121,73617467,74204427,74573538,74605822,74678780,74703892,75097112,75372949,75542832,75626494,75832489,76018135,76201970,76291381,76306222,76985374,77324734,77379324,77781567,77816341,78003022,78116014,78424309,78628732,78727861,78747804,78953154,79485481,79873010,80372494,80773154,80904344,81389399,81569155,81822156,82160424,82317775,82437555,82514596,82947349,83298351,84484251,84985686,85154280,85293507,85333141,85426174,85873822,86167055,86996819,87438574,87550222,87933392,88108222,88844655,89024041,89091947,89597912,89614536,90049429,90270026,90831232,90892222,91017387,91216981,91221762,91442364,92430477,92524969,93109396,93776974,93991850,94259881,94342619,94767632,94773022,94979701,95452994,95767774,95798565,95846799,95847612,95923732,96556969,96871534,97063538,97073715,97422814,97882986,98409781,98551801,98781330,98925066,98977429,99074254,99119161,99340220,99435172,99733822,99939531,...,55140232033099835977633104910476934289473863128354595809796866625349459140485548722296124926489147647613815090986039668266785971923140910438791599228253780251755665594534337449342697390487455833090555460800284067330286604205962920909726426522256457020289014709511078182794418565095181816690406367787798654604951697210713346254032573707238835546127221254885046610625638340225355845566011436583858670616135921195655719272872727774400581514661483059273215255816511877019029932839208135441959470319066468044728907285321573886905468661751185150673244371433327967937068350061628669261807358001425628752772535946988678739727400061879926483966275162496607945958224670016745751580021788128298102928450940273425844876481253372077773605599345637965723941139135489157730365300527426159188445033212362797856727819772738103558107239450279099901290172187172577080765686107243442978290088367429016974735213361839452846282577090545381551438966327136364036902510270693973579214856249898470677813054646890231801756884884585679942556635465925747954743957497519001772135501578157111794139286116507871295055025704221782010911941195568827837571501258576013688493847816371899526776604071170217045547507142416524950222173299438900131276530019797344015652200040992153009177270138258015523652084003975846864520122856959775275347261541924061434793688857596856109007899560729295568042030875248221177913476183385084884186452883970914201754029449811893544167038527872275336832680832449126518653144101020535027152178484217743529776577037374065861192556452817615001680939078281933951846695305200836342388952010459428048161229772969694604124224268674196415579230758811418824707193760884348429429471992210082095772311453879771965469812114050422659776502307337435951546108045029807941555615802193385598485450498761516646431683785044221531144745265022337801871521055312001630258080254249880793085874101334294048057460647725766899522639905969247261220178504155740141568398859781917846653630192704808132765310760830525567410246559957076666275979022569285967065669061423034844910902601014827493246205565273455249949721337539017422001202757890543874578949919497947348140889620195144532755362948507936428107748777685294551396698770025976963148844236938245013246971082882290616636477159341880766802856125804741660858194484198115318891382438782868214186917294657962412889981250135013364157992801433075718184436016342740289947151018395930548226495924135187451590798069039254998587662458305178507913302554320679635801282627169196639482673753527441436332754965812976661225668814409264773683905363742602827959610140456720666057568203199830157266064020610055864924943235930957702343489170509535592009057855825329405006715683425289212993353127202291362153348882052458021211311973715268900804278382643897930995797267645195606288564907418396235880981865676383533791053898830167050360124226457097889841634164287531692070530574787027250096359385858381772389171586522205037144465658823973030302769681276308998437952953636546616670868816745659480606154709009302176529773672821042507973299727560235746921025030953670053771961560432981043357833908432872864492756057037920528878989840051751720559178123859495859652228585295317030224148933542832005294554361046978498892493092109294255490021534011218219759544139922938411298084924253175186251554310199915550586465075958349387874995532150072666826227735891721183927068442768621299688240599423583018625962621076386279266440284051663409184012134833655746154905882923965087799948652122140223188202584839609897922346253109826361721733871686628267717145371137874273133081171889324483931746252743793018827417942081321558236316162807304529518981673433194631239930870939808227725649171283015284860598450066308405199018298095466882621897119492013950139193275265449587653743841066438854563043295310471621472356164855733445590756554327416780652955015603330038665533853926816297852908711369529843281248020884467184478522325016585399548221837672076494249366375154524617094767016372717987455712805381400512627925965062794939450602197643135794718447019211841474044229486571974006492158124347367165448719585340938310993464797229062084499588825099415346306434985364425738273889911692183098934999301850809869181401692237914500307685434810539910132249954423487277785691439105046083022145604294275617775398568850992370609142334992287874930785039736048340595772336534272469775320464309916003001045958913698428669966479740608764601724348364342854856587689419520429676508612011854185905812970615477324017866758181918463749061413211812257450389082450024245728868939851840649468082176359206144648138297137221216131263389275457810557033362610730527520415822868630075157223440549574353383670074115365293587484533652457433901601318413020296067715114378378242389922921091037295373547625191076865674788639701697271664947831547277300546795910560879537316935973068716271120123396737564923898585601165675810203724730955676998250529294789962924152648087080642}
30891 4297867000372732848289110362148041030924224654527141614484995004222824882127568079107392: {648501,772025,926430,988192,1111716,1574421,1759533,2623865,2684733,2809261,3148638,3424461,3735149,4013230,4348581,4754134,4815876,5456733,5618158,6564021,6695101,6791620,7247165,7301733,7622173,8025940,8149944,8696598,9168687,9283141,9507652,9564430,9631128,9841469,9880701,9936598,10835019,11137933,11477316,12062741,12087501,12101432,12526318,12783245,12899062,13261630,13389334,13582360,13614111,13639678,13908389,14195140,14453173,14834521,15280155,15339894,15913956,16207275,16298832,16673901,17034168,17287760,17386745,17589381,17702734,17894740,18165349,18321333,18336186,18450094,18565078,19127620,19163439,19294375,19418541,19448730,19931038,20569613,20647390,20745312,20864094,20880141,21473688,21975333,22193101,22274422,22688715,22875118,22953144,23069661,23082532,23153250,23338476,23616501,24061829,24157899,24201296,24437881,24696800,24776868,25051012,25104574,25187293,25289620,25822287,26521540,26566745,27010375,27226458,27342973,27482765,27783900,28528341,29626669,29636160,29667118,30228665,30343101,30347544,31223236,31486798,31611904,31704430,31825848,31880094,31974333,32412450,32506414,32678740,32833976,32879733,32979318,33340680,33768973,33986782,34068118,34140987,34573280,34688733,35403172,35563392,35666068,35787160,35804079,36219821,36274398,36314781,36328342,36897796,36938223,37179221,37508265,37673038,38045316,38299533,38479821,38586250,38814841,38894940,38900701,39061390,39214488,39859492,40008816,40101333,40260555,41079061,41356414,41487936,41720901,41721368,41807813,42080541,42188473,42944592,43524334,43974075,44116299,44818745,44981140,45009918,45071998,45492333,46303500,46673928,46873668,46905680,46936539,46959598,47273278,47353433,47463621,47861821,48031582,48241390,48312666,48668740,49253181,49390400,49789581,50205892,50575960,51694741,51754533,51789929,52470958,52508169,52703933,52768890,52837241,52985165,53669278,53782494,53977368,55083315,55430542,55564200,55572430,56031621,56209533,56286816,56419781,56897955,57889668,58402488,58435421,58464094,58697781,58755536,59268480,59316665,59357381,60317101,60691152,60724539,60818452,60965528,61248292,61358541,62065438,62177620,62442424,62509725,62598381,63219712,63322668,63483261,63582198,63710173,63754372,63828365,63902552,64477589,65008612,65074533,65259556,65575375,65686654,65702799,65709973,65781141,66099978,66192555,66677040,66686916,67085140,67898661,67969156,68277546,68374030,68586219,69484533,70247727,70605392,70791301,71122176,71179998,71327512,71415262,71890371,71947581,72230041,73849630,74509995,74613144,74756733,75011670,75382669,76594038,76857598,76941718,77384733,78336814,78398173,78412719,78424438,78690450,78958941,79425113,79431066,79477328,80000932,80012448,80243451,80502168,82048836,82410094,82921678,83139481,83495733,83936480,83939787,84540381,85359245,85583775,85951252,86800821,87148221,87177173,87497560,88619556,88680061,88702375,89411994,89818745,90014004,90381694,90443733,90564939,90602134,90824932,91242073,91289360,91482621,92195908,92504341,93348475,93379865,93871390,94076061,94428540,95629533,95985721,96724155,97335973,98034238,98207101,98285915,98434755,98939236,99431384,99977038,...,82710348049649753966449657365715401434210794692531893714695299938024188710728323083444187389733721471420722636479059502400178957884711365658187398842380670377633498391801506174014046085731183749635833191200426100995429906308944381364589639783384685530433522064266617274191627847642772725035609551681697981907427545816070019381048860560858253319190831882327569915938457510338033768349017154875788005924203881793483578909309091661600872271992224588909822883724767815528544899258812203162939205478599702067093360927982360830358202992626777726009866557149991951905602525092443003892711037002138443129158803920483018109591100092819889725949412743744911918937337005025118627370032682192447154392676410410138767314721880058116660408399018456948585911708703233736595547950791139238782667549818544196785091729659107155337160859175418649851935258280758865621148529160865164467435132551143525462102820042759179269423865635818072327158449490704546055353765406040960368822284374847706016719581970335347702635327326878519913834953198888621932115936246278502658203252367235667691208929174761806942582538556332673016367911793353241756357251887864020532740771724557849290164906106755325568321260713624787425333259949158350196914795029696016023478300061488229513765905207387023285478126005963770296780184285439662913020892312886092152190533286395284163511849341093943352063046312872331766870214275077627326279679325956371302631044174717840316250557791808413005249021248673689777979716151530802540728267726326615294664865556061098791788834679226422502521408617422900927770042957801254513583428015689142072241844659454541906186336403011294623368846138217128237060790641326522644144207988315123143658467180819657948204718171075633989664753461006153927319162067544711912333423703290078397728175748142274969647525677566332296717117897533506702807281582968002445387120381374821189628811152001441072086190971588650349283959858953870891830267756233610212352598289672876769980445289057212199147966141245788351115369839935614999413968533853928950598503592134552267366353901522241239869308347910182874924582006308526133001804136835815811868424879246921022211334430292716799133044422761904642161623166527941827095048155038965444723266355407367519870456624323435924954715739012821150204284188707112491287291726297172978337073658174302321280375941986943619334971875202520046236989202149613577276654024514110434920726527593895822339743886202781177386197103558882497881493687457767761869953831481019453701923940753794959224010630291162154499132448719464991838503221613897160525858045613904241939415210685080999086352304799745235899096030915083797387414853896436553515233755764303388013586783737994107510073525137933819490029690803437043230023323078687031816967960572903351206417573965846896493695901467793409432847361127594353821472798514575300686580848245250575540186339685646834762451246431297538105795862180540875144539078787572658583757379783307555716698488235959545454154521914463497656929430454819925006303225118489220909232063513953264794660509231563761959949591340353620381537546430505080657942340649471565036750862649309296739134085556880793318484760077627580838767185789243789478342877942975545336223400314248007941831541570467748338739638163941383235032301016827329639316209884407616947127386379762779377331465299873325879697613937524081812493298225109000239341603837581775890602664152931949532360899135374527938943931614579418899660426077495113776018202250483619232358824385947631699922978183210334782303877259414846883519379664739542582600807529942401575718056706811409699621757833986725897619379115689528241126913121982337354474244210956794278472510149791946859896306409712341588473756924522927290897675099462607798527447143200323932845679238020925208789912898174381480615761599658281844564942965707432208534247283600168386134831491125170979432523404995057998300780890224446779363067054294764921872031326700776717783487524878099322332756508114741374049562731786925642150524559076981183569208072100768941888947594192409175903296464703692077670528817762211066344229857961009738237186521050748173079378011407466490197195843593126749383237649123019459652478046638607410834867538274648402498952776214803772102538356871750461528152215809865198374931635230916678537158657569124533218406441413426663097853276488555913713502488431812396177559604072510893658504801408704662980696464874004501568938370547643004949719610913146902586522546514282284881534129280644514762918017781278858719455923215986026800137272877695623592119817718386175583623675036368593303409777760974202123264538809216972207445705831824196895083913186715835550043916095791280623734302945112735835160824361530075505111173047940381226800478686150852401977619530444101572671567567363584884381636555943060321437786615298512182959552545907497421747320915950820193865841319305975403959603074406680185095106347385847878401748513715305587096433515497375793942184944386228972130620963}
30892 4311021840290504993258036354232020974090694817931552717571518863388904174578214291324031: {339691,709987,864668,1173098,1235240,1264891,1389645,1482288,1634467,1667574,1913258,2099228,2283122,2346044,2557147,2741467,3579644,3761138,4198184,4499282,4565948,4722957,5497627,5798108,6019845,6421168,6710258,7131201,7223814,7275644,7813802,8427237,8489525,8752028,9735644,10017002,10032425,10187430,10588753,10780267,10866592,11595464,11684947,11849042,11884565,12038910,12224916,12226891,12841504,13044897,13174268,13488907,14028691,14042738,14261478,14346645,14446692,14772818,14904897,15126790,15285667,15303088,16116668,16977950,17215974,17253787,17743925,18145507,18152148,18789477,19141202,19348593,19892445,20084001,20230058,20373540,20453192,20459517,20592722,21176134,21218608,21292710,21609700,21731776,22231868,22368425,22712224,22765682,23009841,23281987,23452508,23870934,23909525,24211442,24428444,24448248,24688291,25551252,25654898,25891388,25915027,25931640,26439691,26554101,26842110,27504279,27660416,27675141,27818792,27840188,27847617,28175402,28631584,28691430,28729729,28853165,29053291,29173095,29300444,29612522,29896557,30251620,30267427,30330218,30440587,30604192,30759548,30871000,30971085,31117968,31296141,31313765,31488668,31612025,31763882,32210532,32857267,33035824,33151925,33411633,34231891,34312677,34429716,34623798,34624298,34729875,34981202,35007714,36285187,36301944,36455827,36506197,37045200,37165302,37307947,37475498,37576518,37656861,37934430,38037788,38186858,39006787,39029045,39514880,39782310,40191691,40457468,40463392,40839687,40848425,41042470,41073329,41541547,41675850,42382867,42434464,42506792,42632444,42796658,43216600,43557691,43839644,43892707,43972424,44253965,44454240,44500677,44582585,44733950,45268778,45521316,45563467,45621362,45730147,46122245,46251644,46834854,47230197,47382122,47417856,47556645,47738772,47820141,48365864,48419708,48618675,48759621,49018110,49250964,49468977,49824365,50011020,50727088,50980173,51066044,51102177,51306428,51411094,51859920,52151710,52285984,52642802,53104758,53344837,53345088,53468444,53499102,53680740,54298291,54389162,54411597,54492513,54637121,55317248,55346694,55436827,55627868,55914733,55923691,56107388,56226425,56509557,57067974,57259456,57879375,58342410,58592085,58632100,58821732,59789238,60013224,60299858,60436507,60656444,60835925,61555891,61738000,61779718,62030378,62034621,62231904,62411573,62498224,62582052,62757365,63219950,63284828,63464621,64259707,64416888,64791722,65050987,65286501,65670908,66386108,66628147,67099891,67200338,67471710,67514877,67607997,67784041,68198107,68354707,69006044,69455250,69542662,69916747,70010892,70310502,70358520,70439397,70909917,70926449,71709992,71969824,72047373,72091507,72362085,72468999,73003110,73444420,73790347,74043218,74085600,74708828,74946044,74998781,75049088,75173827,75308838,75744938,75863940,76023065,76206910,76398691,76424618,76560365,76856827,77103722,77161891,77186224,77722025,77869984,78053030,78121298,78263708,78706437,79024640,79153335,79692965,79878190,80196691,80503917,80673741,80921536,80966052,81260765,81402547,81574445,81811388,82153867,83145813,83346300,83358645,83464508,83651107,83856425,84430224,84644348,84694891,84776264,84961445,85208042,85543922,85735147,85883467,86623987,86766044,86834502,87002461,87556178,87603732,87696141,87708188,88133304,88256740,88393891,88687867,88902720,88915888,89159390,90275878,90531548,90564842,91036728,91227678,91448292,91872438,92112013,92564138,92646044,93098157,93266430,93663636,93785827,94829568,94890098,94906664,94938691,94984002,95373297,95459182,95631558,95853828,95930108,97512918,97539698,97889334,98085307,98529981,99149967,99191018,99346660,99484192,99675644,...,110280464066199671955266209820953868578947726256709191619593733250698918280971097444592249852978295295227630181972079336533571943846281820877583198456507560503511331189068674898685394780974911666181110921600568134660573208411925841819452853044512914040578029419022156365588837130190363633380812735575597309209903394421426692508065147414477671092254442509770093221251276680450711691132022873167717341232271842391311438545745455548801163029322966118546430511633023754038059865678416270883918940638132936089457814570643147773810937323502370301346488742866655935874136700123257338523614716002851257505545071893977357479454800123759852967932550324993215891916449340033491503160043576256596205856901880546851689752962506744155547211198691275931447882278270978315460730601054852318376890066424725595713455639545476207116214478900558199802580344374345154161531372214486885956580176734858033949470426723678905692565154181090763102877932654272728073805020541387947158429712499796941355626109293780463603513769769171359885113270931851495909487914995038003544271003156314223588278572233015742590110051408443564021823882391137655675143002517152027376987695632743799053553208142340434091095014284833049900444346598877800262553060039594688031304400081984306018354540276516031047304168007951693729040245713919550550694523083848122869587377715193712218015799121458591136084061750496442355826952366770169768372905767941828403508058899623787088334077055744550673665361664898253037306288202041070054304356968435487059553154074748131722385112905635230003361878156563867903693390610401672684777904020918856096322459545939389208248448537348392831158461517622837649414387521768696858858943984420164191544622907759543930939624228100845319553004614674871903092216090059615883111231604386771196970900997523033292863367570088443062289490530044675603743042110624003260516160508499761586171748202668588096114921295451533799045279811938494522440357008311480283136797719563835693307260385409616265530621521661051134820493119914153332551958045138571934131338122846069689821805202029654986492411130546910499899442675078034844002405515781087749157899838995894696281779240390289065510725897015872856215497555370589102793397540051953926297688473876490026493942165764581233272954318683761533605712251609483321716388968396230637782764877565736428373834589315924825779962500270026728315985602866151436368872032685480579894302036791861096452991848270374903181596138078509997175324916610357015826605108641359271602565254338393278965347507054882872665509931625953322451337628818529547367810727485205655919220280913441332115136406399660314532128041220111729849886471861915404686978341019071184018115711650658810013431366850578425986706254404582724306697764104916042422623947430537801608556765287795861991594535290391212577129814836792471761963731352767067582107797660334100720248452914195779683268328575063384141061149574054500192718771716763544778343173044410074288931317647946060605539362552617996875905907273093233341737633491318961212309418018604353059547345642085015946599455120471493842050061907340107543923120865962086715667816865745728985512114075841057757979680103503441118356247718991719304457170590634060448297867085664010589108722093956997784986184218588510980043068022436439519088279845876822596169848506350372503108620399831101172930151916698775749991064300145333652455471783442367854136885537242599376481198847166037251925242152772558532880568103326818368024269667311492309811765847930175599897304244280446376405169679219795844692506219652723443467743373256535434290742275748546266162343778648967863492505487586037654835884162643116472632325614609059037963346866389262479861741879616455451298342566030569721196900132616810398036596190933765243794238984027900278386550530899175307487682132877709126086590620943242944712329711466891181513108654833561305910031206660077331067707853632595705817422739059686562496041768934368957044650033170799096443675344152988498732750309049234189534032745435974911425610762801025255851930125589878901204395286271589436894038423682948088458973143948012984316248694734330897439170681876621986929594458124168999177650198830692612869970728851476547779823384366197869998603701619738362803384475829000615370869621079820264499908846974555571382878210092166044291208588551235550797137701984741218284669984575749861570079472096681191544673068544939550640928619832006002091917827396857339932959481217529203448696728685709713175378839040859353017224023708371811625941230954648035733516363836927498122826423624514900778164900048491457737879703681298936164352718412289296276594274442432262526778550915621114066725221461055040831645737260150314446881099148706767340148230730587174969067304914867803202636826040592135430228756756484779845842182074590747095250382153731349577279403394543329895663094554601093591821121759074633871946137432542240246793475129847797171202331351620407449461911353996501058589579925848305296174161284}
30893 4324216712825537684890670029490761957785618270515284257613154009352635817569068769303760: {30893,1080835,1297002,1544050,1759647,1852860,1976384,2223432,2501361,2624035,2869887,2932555,3148842,3424683,3519066,3673411,3735391,4414267,4474555,5247730,5369466,5618522,5641707,5707435,6297276,6748923,6848922,7247635,7470298,7807327,8026460,8697162,8918251,9094555,9508268,9631752,9842107,10065387,10146031,10520191,10835721,10913466,10940035,11236316,11630827,11720703,12063523,12169555,13128042,13390202,13481887,13583240,13909291,14494330,14586847,14603466,15025503,15244346,15281145,16051880,16299888,16437187,16467835,17393196,17773563,17896543,17973307,18058365,18337374,18566282,19015304,19128860,19262256,19397731,19682938,19761402,19873196,20145835,20570947,21064107,21392217,21670038,21988207,22159227,22275866,22690185,22954632,24125482,24175002,24202864,24341443,24632371,24739627,25052636,25466925,25566490,25798124,25823961,26523260,26767807,26778668,27012125,27164720,27228222,27279356,27789835,27816778,28390280,28436707,28711803,28906346,29071747,29315635,29669042,30345087,30535555,30560310,30679788,30889083,30909451,31764201,31827912,31939065,32364235,32414550,32597664,33347802,34068336,34148523,34197691,34575520,34773490,34800235,35091451,35178762,35405468,35789480,35806401,36317163,36330698,36625555,36642666,36672372,36896827,36900188,37130156,37193443,37565923,37814525,38226523,38255240,38326878,38449435,38475871,38482347,38588750,38837082,38897460,39360835,39862076,40263165,41139226,41294780,41490624,41553247,41728188,41760282,42003571,42263103,42320131,42805243,42947376,43037145,43225027,43950666,44386202,44418783,44548844,45377430,45495327,45750236,45906288,46139322,46165064,46306500,46676952,47233002,47467423,47547235,47645823,48123658,48315798,48402592,48875762,49393600,49553736,50102024,50209148,50374586,50571835,50579240,50619187,51644574,51935697,51936447,52471803,52511571,53043080,53133490,53290555,53576851,53883523,54020750,54316267,54452916,54490507,54685946,54799555,54965530,55567800,55747953,56213247,56338687,56364777,56901645,57056682,57280287,57814555,59053387,59095723,59253338,59272320,59334236,59673465,60404683,60454207,60457330,60524635,60686202,60695088,61563705,62252863,62446472,62513775,62746243,62973596,63008707,63223808,63408860,63651696,63760188,63832555,63948666,64133035,64194987,64824900,65012828,65152747,65357480,65667952,65759466,65958636,66677923,66681360,66835555,67100925,67537946,67903167,67973564,68136236,68281974,68432043,68654563,69060043,69146560,69377466,69534835,70134235,70252281,70806344,71073183,71126784,71187391,71332136,71574320,71608158,72439642,72548796,72629562,72656684,73290125,73527165,73795592,73876446,74089867,74179231,74358442,75016530,75346076,75707743,75820555,76090632,76200787,76599066,76959642,77116641,77172500,77629682,77789880,77801402,77831491,78122780,78227565,78428976,78553387,78964203,79106035,79657137,79718984,79937443,80017632,80202666,80248653,80521110,80560447,81583743,82088635,82158122,82712828,82975872,82982635,83020041,83043331,83441802,83442736,83615626,84161082,84376946,84572191,84902707,85105723,85601961,85889184,86257555,87048668,87513615,87948150,88232598,89359711,89603491,89637490,89683857,89962280,90019836,90104827,90143996,90297523,90449787,90984666,91805525,92607000,92669577,93045567,93347856,93386035,93410971,93682555,93747336,93811360,93873078,93919196,94503883,94546556,94706866,94829925,94927242,95438971,95723642,96063164,96252187,96482780,96625332,97187583,97337480,97433311,97829635,98506362,98780800,99579162,99673747,...,165420696099299507932899314731430802868421589385063787429390599876048377421456646166888374779467442942841445272958119004800357915769422731316374797684761340755266996783603012348028092171462367499271666382400852201990859812617888762729179279566769371060867044128533234548383255695285545450071219103363395963814855091632140038762097721121716506638381663764655139831876915020676067536698034309751576011848407763586967157818618183323201744543984449177819645767449535631057089798517624406325878410957199404134186721855964721660716405985253555452019733114299983903811205050184886007785422074004276886258317607840966036219182200185639779451898825487489823837874674010050237254740065364384894308785352820820277534629443760116233320816798036913897171823417406467473191095901582278477565335099637088393570183459318214310674321718350837299703870516561517731242297058321730328934870265102287050924205640085518358538847731271636144654316898981409092110707530812081920737644568749695412033439163940670695405270654653757039827669906397777243864231872492557005316406504734471335382417858349523613885165077112665346032735823586706483512714503775728041065481543449115698580329812213510651136642521427249574850666519898316700393829590059392032046956600122976459027531810414774046570956252011927540593560368570879325826041784625772184304381066572790568327023698682187886704126092625744663533740428550155254652559358651912742605262088349435680632501115583616826010498042497347379555959432303061605081456535452653230589329731112122197583577669358452845005042817234845801855540085915602509027166856031378284144483689318909083812372672806022589246737692276434256474121581282653045288288415976630246287316934361639315896409436342151267979329506922012307854638324135089423824666847406580156795456351496284549939295051355132664593434235795067013405614563165936004890774240762749642379257622304002882144172381943177300698567919717907741783660535512467220424705196579345753539960890578114424398295932282491576702230739679871229998827937067707857901197007184269104534732707803044482479738616695820365749849164012617052266003608273671631623736849758493842044422668860585433598266088845523809284323246333055883654190096310077930889446532710814735039740913248646871849909431478025642300408568377414224982574583452594345956674147316348604642560751883973887238669943750405040092473978404299227154553308049028220869841453055187791644679487772405562354772394207117764995762987374915535523739907662962038907403847881507589918448021260582324308998264897438929983677006443227794321051716091227808483878830421370161998172704609599490471798192061830167594774829707792873107030467511528606776027173567475988215020147050275867638980059381606874086460046646157374063633935921145806702412835147931693792987391802935586818865694722255188707642945597029150601373161696490501151080372679371293669524902492862595076211591724361081750289078157575145317167514759566615111433396976471919090908309043828926995313858860909639850012606450236978441818464127027906529589321018463127523919899182680707240763075092861010161315884681298943130073501725298618593478268171113761586636969520155255161677534371578487578956685755885951090672446800628496015883663083140935496677479276327882766470064602033654659278632419768815233894254772759525558754662930599746651759395227875048163624986596450218000478683207675163551781205328305863899064721798270749055877887863229158837799320852154990227552036404500967238464717648771895263399845956366420669564607754518829693767038759329479085165201615059884803151436113413622819399243515667973451795238758231379056482253826243964674708948488421913588556945020299583893719792612819424683176947513849045854581795350198925215597054894286400647865691358476041850417579825796348762961231523199316563689129885931414864417068494567200336772269662982250341958865046809990115996601561780448893558726134108589529843744062653401553435566975049756198644665513016229482748099125463573851284301049118153962367138416144201537883777895188384818351806592929407384155341057635524422132688459715922019476474373042101496346158756022814932980394391687186253498766475298246038919304956093277214821669735076549296804997905552429607544205076713743500923056304431619730396749863270461833357074317315138249066436812882826853326195706552977111827427004976863624792355119208145021787317009602817409325961392929748009003137876741095286009899439221826293805173045093028564569763068258561289029525836035562557717438911846431972053600274545755391247184239635436772351167247350072737186606819555521948404246529077618433944414891411663648393790167826373431671100087832191582561247468605890225471670321648723060151010222346095880762453600957372301704803955239060888203145343135134727169768763273111886120642875573230597024365919105091814994843494641831901640387731682638611950807919206148813360370190212694771695756803497027430611174192867030994751587884369888772457944261241926}
30894 4337451739103511026501394719692946430894093672261197392095463580476659559169952898971531: {401453,679382,710033,1264973,1326593,1419974,1634573,1729336,1945503,2316075,2346196,2470480,2529782,2779290,2964576,3268934,3335148,3478253,3826516,4029953,4198456,4213709,4566244,4692088,4723263,5114294,5131409,5278599,5482934,5559053,5864273,6047309,6839633,7144013,7159288,7522276,7691393,7871595,7873709,8054199,8055953,8396368,8427783,8998564,9131896,9445914,9692909,10033075,10273383,10297709,10995254,11205447,11596216,11885335,12039690,12107309,12227693,12842336,13045743,13420516,14045395,14089553,14209409,14262402,14447628,14551288,14927873,15286673,15627604,16370199,16599809,16638391,16854474,16979050,17314433,17504056,17790209,18206093,19392173,19471288,19692063,19747373,20034004,20064850,20085303,20374860,20634113,20870273,21177506,21560534,21733184,21741495,21905199,22108013,22813709,22866519,22931213,23190928,23369894,23698084,23769130,23911075,23987309,24077820,24449832,24453782,24748433,24841495,25683008,26089794,26348536,26441453,26499713,26977814,27314513,27506061,27849423,28057382,28085476,28359809,28522956,28693290,28893384,28939409,29228909,29524407,29545636,29642103,29809794,30253580,30269453,30500333,30571334,30606176,30788753,31315795,31652813,32233336,32247655,32505057,32515073,33154075,33413799,33473335,33955900,34099195,34291373,34431948,34507574,34805633,35487850,36188223,36262503,36287633,36291014,36304296,36515153,37578954,37990913,38282404,38349735,38670209,38697186,39065933,39235409,39784890,40168002,40363409,40394431,40460116,40747080,40842333,40906384,40919034,41185444,41725167,42352268,42437216,42585420,42721793,43219400,43281233,43359519,43463552,43616513,43839271,43895693,44256835,44397713,44463736,44503563,44736850,44954753,45424448,45531364,45840465,45955409,46019682,46125235,46399313,46412695,46563974,46787309,46905016,47064209,47741868,47819050,48422884,48541207,48611153,48621825,48856888,48896496,49376582,49437293,49827595,50021703,50206733,50755373,50919809,51102504,51309796,51618475,51782776,51830054,51863280,52160235,52768143,52879382,53108202,53214353,53684220,54030413,54193409,54302033,54356333,54464909,54496047,54640663,54963999,55008558,55320832,55350282,55637584,55680376,55686055,55695234,55981613,56350804,57061133,57187795,57263168,57382860,57459458,57490317,57599693,57706330,57883125,58106582,58255623,58346190,58513409,58600888,59225044,59793114,59959853,60120209,60503240,60534854,60660436,60881174,61208384,61519096,61560173,61613393,61708839,61742000,61942170,61955551,62235936,62415619,62592282,62627530,62640423,62761435,62977336,63224050,63312209,63527764,64105709,64421064,64475393,64571143,64897409,65055533,65424209,65687309,65714534,65925999,66071648,66303850,66579303,66823266,66999809,67261709,67784909,67889453,68066145,68463782,68625354,68828909,68859432,69208983,69247596,69248596,69459750,69609809,69754111,69962404,70015428,70849503,70931047,72096593,72185487,72473697,72570374,72603888,72911654,73012394,73313643,74000909,74090400,74167795,74330604,74615894,74950996,75003643,75153036,75313722,75561879,75690113,75868860,75945293,76075576,76373716,76404113,76455053,76913153,77466861,78013574,78058090,78587309,78716995,79029760,79261075,79564620,79597709,79700235,79748993,80383382,80914936,80926784,81031125,81107309,81266035,81679374,81696850,81859409,82028919,82084940,82146658,82448295,82509773,83083094,83351700,83706893,83822167,83955713,84765734,84868928,84966955,85013584,85170295,85264888,85345409,85585023,85593316,86433200,86679533,87115382,87679288,87785414,87860311,87944848,88507930,88634923,88694273,88880007,88908480,89001354,89134733,89165170,89467900,90537556,90685995,90820855,91029303,91042632,91126934,91242724,91375853,91460294,92102993,92244490,92503288,93648209,93669708,93792653,94182595,94460394,94764244,94835712,94849709,94993553,95089409,95113290,95477544,95640282,95922999,96465625,96523409,96666413,96731728,96839416,97237350,97237709,97519242,97653475,98036220,98501928,98566253,98639199,98660909,98802833,98937954,99648730,...,248131044148949261899348972097146204302632384077595681144085899814072566132184969250332562169201164414262167909437178507200536873654134096974562196527142011132900495175404518522042138257193551248907499573601278302986289718926833144093768919350154056591300566192799851822574883542928318175106828655045093945722282637448210058143146581682574759957572495646982709747815372531014101305047051464627364017772611645380450736727927274984802616815976673766729468651174303446585634697776436609488817616435799106201280082783947082491074608977880333178029599671449975855716807575277329011678133111006415329387476411761449054328773300278459669177848238231234735756812011015075355882110098046577341463178029231230416301944165640174349981225197055370845757735126109701209786643852373417716348002649455632590355275188977321466011482577526255949555805774842276596863445587482595493402305397653430576386308460128277537808271596907454216981475348472113638166061296218122881106466853124543118050158745911006043107905981980635559741504859596665865796347808738835507974609757101707003073626787524285420827747615668998019049103735380059725269071755663592061598222315173673547870494718320265976704963782140874362275999779847475050590744385089088048070434900184464688541297715622161069856434378017891310890340552856318988739062676938658276456571599859185852490535548023281830056189138938616995300610642825232881978839037977869113907893132524153520948751673375425239015747063746021069333939148454592407622184803178979845883994596668183296375366504037679267507564225852268702783310128873403763540750284047067426216725533978363625718559009209033883870106538414651384711182371923979567932432623964945369430975401542458973844614154513226901968994260383018461781957486202634135737000271109870235193184527244426824908942577032698996890151353692600520108421844748904007336161361144124463568886433456004323216258572914765951047851879576861612675490803268700830637057794869018630309941335867171636597443898423737365053346109519806844998241905601561786851795510776403656802099061704566723719607925043730548624773746018925578399005412410507447435605274637740763066634003290878150397399133268285713926484869499583825481285144465116896334169799066222102559611369872970307774864147217038463450612852566121337473861875178891518935011220974522906963841127825960830858004915625607560138710967606448840731829962073542331304762179582781687467019231658608343532158591310676647493644481062373303285609861494443058361105771822261384877672031890873486463497397346158394975515509664841691481577574136841712725818245632055242997259056914399235707697288092745251392162244561689309660545701267292910164040760351213982322530220575413801458470089072410311129690069969236061095450903881718710053619252721897540689481087704403380228298542083382783061464418395543725902059742544735751726620559019056940504287353739293892614317387586541622625433617236362717975751272139349922667150095464707878636362463565743390492970788291364459775018909675355467662727696190541859794383981527694691285879848774021060861144612639291515241973827021948414695110252587947927890217402256670642379955454280232882742516301557367731368435028633828926636008670200942744023825494624711403245016218914491824149705096903050481988917948629653222850841382159139288338131994395899619977639092841812572245437479894675327000718024811512745327671807992458795848597082697406123583816831794843738256698981278232485341328054606751450857697076473157842895099768934549631004346911631778244540650558138994218627747802422589827204727154170120434229098865273501960177692858137347068584723380739365947012063422732632870382835417530449375840579688919229137024765421270773568781872693025298387823395582341429600971798537037714062775626369738694523144441847284798974845533694828897122296625602741850800505158404494473375512938297570214985173994902342670673340338089201162884294765616093980102330153350462574634297966998269524344224122148688195360776926451573677230943550707624216302306825666842782577227527709889394111076233011586453286633199032689573883029214711559563152244519238134034222399470591587530779380248149712947369058378957434139915822232504602614823945207496858328644411316307615070615251384584456647429595595124794905692750035611475972707373599655219324240279989293559829465667741140507465295437188532678812217532680975514404226113988942089394622013504706815111642929014849158832739440707759567639542846854644602387841933544288754053343836576158367769647958080400411818633086870776359453155158526750871025109105779910229333282922606369793616427650916622337117495472590685251739560147506650131748287373841871202908835338207505482473084590226515333519143821143680401436058452557205932858591332304718014702702090754653144909667829180964313359845895536548878657637722492265241962747852460581597523957917926211878809223220040555285319042157543635205245541145916761289300546492127381826554833158686916391862889}
30895 4350727040614481633771815130477877856598796301587079487902176464450282297876399659759716: {61786,1019073,1513169,2129961,2161670,2594004,2932745,3088100,3519294,3673649,3705720,3794673,3952768,4105577,4168935,4414553,4446864,4783145,4903401,5002722,5216861,5248070,5707805,5739774,5865110,6264377,6297684,6849366,7038132,7346822,7470782,7671441,7990409,8224401,8828534,8949110,9226841,9402845,9967457,10146689,10495460,10520873,10738932,11237044,11248205,11283414,11414870,11631581,12432953,12594552,12732377,13482761,13497846,13697844,14168871,14495270,14587793,14940596,15316049,15614654,16052920,16438253,16492881,16775645,17037377,17239001,17394324,17836502,18059535,18189110,19016536,19263504,19398989,19534505,19684214,20130774,20292062,21040382,21241181,21393603,21671442,21679817,21826932,21880070,21989633,22472632,22712129,23054969,23261654,23441406,24127046,24339110,25042505,25281711,25468575,26256084,26780404,26963774,27166480,27530297,27818582,28204169,28988660,29173694,29206932,29237741,29622605,30051006,30097275,30488692,30489881,30562290,31634681,31766259,31957229,32103760,32340801,32599776,32874374,32935670,33079517,34545857,34786392,34874873,35054841,35106845,35547126,35653695,35793086,35946614,36116730,36674748,36680673,36932045,37132564,37816975,38030608,38257720,38524512,38795462,38905769,39134691,39219857,39365876,39522804,39746392,40291670,40415453,40466721,41041889,41141894,42086073,42128214,42444875,42723761,42749777,42784434,42967529,43039935,43340076,43605341,43976414,44318454,44551732,44714691,44900369,45309929,45380370,45857001,45909264,46749389,47853005,48250964,48350004,48405728,48682886,48720329,49264742,49479254,50105272,50575145,50757869,50933850,51132980,51275777,51481805,51596248,51647922,51761361,52940335,53046520,53065529,53231775,53535614,53557336,53829209,54024250,54329440,54436521,54456444,54558712,55105169,55579670,55633556,56368431,56780560,56873414,56914205,56965841,57423606,57812692,58045779,58143494,58248473,58631270,59338084,59677335,60222761,60252003,60528605,60690174,61071110,61120620,61129673,61359576,61378551,61778166,61818902,63528402,63655824,63878130,64137245,64728470,64829100,65195328,66048161,66566129,66695604,67105275,68136672,68297046,68395382,69029523,69151040,69546980,69600470,69845961,70182902,70357524,70438505,70800569,70810936,71445881,71578960,71612802,71728575,72634326,72661396,73251110,73285332,73344744,73793654,73800376,74031305,74064873,74260312,74386886,74606777,75131846,75211433,75629050,75825545,76453046,76510480,76653756,76719377,76898870,76951742,76964694,76998701,77122841,77177500,77674164,77745081,77794920,78721670,78876209,79199513,79319073,79409705,79662303,79724152,80526330,80940377,81234593,82278452,82512837,82589560,82981248,83025423,83106494,83456376,83520564,83542851,84007142,84130553,84526206,84640262,84734489,85610486,85894752,86074290,86189187,86450054,86559495,86560745,86988137,87159873,87453005,87519285,87901332,88772404,88837566,89097688,89365577,89689671,89786249,90754860,90802281,90990654,91321761,91500472,91812576,91889081,92127533,92278644,92330128,92613000,92835821,92913255,93353904,93569777,93688745,93888423,93941295,93974393,94454669,94466004,94836075,94934846,95094470,95118161,95207801,95291646,95467145,96247316,96318953,96631596,96805184,96929369,97222877,97348769,97751524,98187929,98571801,98787200,99107472,99455775,99514973,99948953,...,330841392198599015865798629462861605736843178770127574858781199752096754842913292333776749558934885885682890545916238009600715831538845462632749595369522681510533993567206024696056184342924734998543332764801704403981719625235777525458358559133538742121734088257066469096766511390571090900142438206726791927629710183264280077524195442243433013276763327529310279663753830041352135073396068619503152023696815527173934315637236366646403489087968898355639291534899071262114179597035248812651756821914398808268373443711929443321432811970507110904039466228599967807622410100369772015570844148008553772516635215681932072438364400371279558903797650974979647675749348020100474509480130728769788617570705641640555069258887520232466641633596073827794343646834812934946382191803164556955130670199274176787140366918636428621348643436701674599407741033123035462484594116643460657869740530204574101848411280171036717077695462543272289308633797962818184221415061624163841475289137499390824066878327881341390810541309307514079655339812795554487728463744985114010632813009468942670764835716699047227770330154225330692065471647173412967025429007551456082130963086898231397160659624427021302273285042854499149701333039796633400787659180118784064093913200245952918055063620829548093141912504023855081187120737141758651652083569251544368608762133145581136654047397364375773408252185251489327067480857100310509305118717303825485210524176698871361265002231167233652020996084994694759111918864606123210162913070905306461178659462224244395167155338716905690010085634469691603711080171831205018054333712062756568288967378637818167624745345612045178493475384552868512948243162565306090576576831953260492574633868723278631792818872684302535958659013844024615709276648270178847649333694813160313590912702992569099878590102710265329186868471590134026811229126331872009781548481525499284758515244608005764288344763886354601397135839435815483567321071024934440849410393158691507079921781156228848796591864564983153404461479359742459997655874135415715802394014368538209069465415606088964959477233391640731499698328025234104532007216547343263247473699516987684088845337721170867196532177691047618568646492666111767308380192620155861778893065421629470079481826497293743699818862956051284600817136754828449965149166905188691913348294632697209285121503767947774477339887500810080184947956808598454309106616098056441739682906110375583289358975544811124709544788414235529991525974749831071047479815325924077814807695763015179836896042521164648617996529794877859967354012886455588642103432182455616967757660842740323996345409219198980943596384123660335189549659415585746214060935023057213552054347134951976430040294100551735277960118763213748172920093292314748127267871842291613404825670295863387585974783605871173637731389444510377415285891194058301202746323392981002302160745358742587339049804985725190152423183448722163500578156315150290634335029519133230222866793952943838181816618087657853990627717721819279700025212900473956883636928254055813059178642036926255047839798365361414481526150185722020322631769362597886260147003450597237186956536342227523173273939040310510323355068743156975157913371511771902181344893601256992031767326166281870993354958552655765532940129204067309318557264839537630467788509545519051117509325861199493303518790455750096327249973192900436000957366415350327103562410656611727798129443596541498111755775726458317675598641704309980455104072809001934476929435297543790526799691912732841339129215509037659387534077518658958170330403230119769606302872226827245638798487031335946903590477516462758112964507652487929349417896976843827177113890040599167787439585225638849366353895027698091709163590700397850431194109788572801295731382716952083700835159651592697525922463046398633127378259771862829728834136989134400673544539325964500683917730093619980231993203123560897787117452268217179059687488125306803106871133950099512397289331026032458965496198250927147702568602098236307924734276832288403075767555790376769636703613185858814768310682115271048844265376919431844038952948746084202992692317512045629865960788783374372506997532950596492077838609912186554429643339470153098593609995811104859215088410153427487001846112608863239460793499726540923666714148634630276498132873625765653706652391413105954223654854009953727249584710238416290043574634019205634818651922785859496018006275753482190572019798878443652587610346090186057129139526136517122578059051672071125115434877823692863944107200549091510782494368479270873544702334494700145474373213639111043896808493058155236867888829782823327296787580335652746863342200175664383165122494937211780450943340643297446120302020444692191761524907201914744603409607910478121776406290686270269454339537526546223772241285751146461194048731838210183629989686989283663803280775463365277223901615838412297626720740380425389543391513606994054861222348385734061989503175768739777544915888522483852}
30896 4364042739213972454231784295136096211713670136267692090121549798492292361689142080146748: {92679,802906,1141783,1326679,1358764,1420066,2065543,2434543,2529946,2653186,2839948,3242505,3269146,3458672,3860125,3891006,4275223,4632150,4692392,4940960,5059564,5278941,5558580,5925679,5929152,6108703,6537868,6670296,6956506,7504083,7653032,7872105,8059906,8396912,8427418,8609661,8797665,9132488,9384176,9446526,10228588,10262818,10274049,10298383,10557198,10965868,11020233,11118106,11204143,11206173,11565943,11728546,12094618,13119325,13242801,13423665,13679266,14046305,14288026,14318576,15044552,15382786,15743190,15747418,16108398,16111906,16639469,16792736,16855566,16925121,17122305,17494063,17997128,18263792,18675745,18891828,19385818,19452679,19663553,20066150,20246769,20340079,20546766,20595418,21402583,21742905,21932863,21990508,22410894,22815223,23192432,23421981,23695783,23770670,24079380,24214618,24455386,25684672,26091486,26501479,26754753,26841032,27200023,27283665,28071583,28090790,28179106,28418818,28524804,28895256,29102576,29526321,29855746,30196161,30438093,30573346,30848479,31255208,31560573,31712479,32507163,32574679,32740398,32820105,33199618,33276782,33475505,33708948,33958100,34628866,34778093,34892481,35008112,35162109,35580418,36005479,36190569,36235825,36412186,36508665,38110865,38389903,38784346,38942576,39238063,39384126,39494746,40068008,40129700,40170606,40445661,40749720,41268226,41727873,41740546,41940079,42355012,42780679,42948583,43121068,43466368,43482990,43760541,43810398,43842113,44216026,45076509,45146717,45458503,45627418,45733038,45843435,45862426,46381856,46415705,46739788,46862669,47122783,47396168,47538260,47620663,47738873,47822150,47974618,48155640,48899664,48907564,49207345,49311561,49403505,49496866,49682990,50265079,51251983,51366016,52179588,52697072,52882906,52999426,53320689,53689629,53919921,53955628,54175095,54360079,54522943,54629026,55012122,55689665,55698846,56114764,56170952,56719618,57045912,57366881,57386580,57442183,57786768,57878818,58193193,58248943,58457818,58571143,59048814,59091272,59214679,59284206,59619588,60017479,60177823,60313705,60437505,60507160,60538906,61000666,61142668,61212352,61457983,61577506,61617679,61712841,61959569,62631590,63192321,63305626,63916225,64163023,64176651,64466672,64495310,64575329,64954663,64977773,65010114,65030146,65586679,65964621,66308150,66477681,66827598,66946670,67004503,67911800,67946479,68070555,68198390,68582746,68863896,69015148,69541945,69611266,69758633,70134343,70975700,71067679,72265865,72376446,72525006,72575266,72582028,72608592,73024329,73030306,73897113,74006143,74172605,74218881,75157908,75542263,75981826,76400775,76460479,76564808,76699470,77340418,77394372,77471883,77960477,78131866,78470818,78592903,79569780,80062913,80303421,80336004,80726818,80788862,80920232,81036375,81494160,81684666,81812768,81838068,82370888,82515679,83369505,83450334,83827601,84704536,84874432,84905503,85170840,85310121,85443586,85648543,85858333,86135409,86438800,86562466,86719038,86927104,86933725,87215241,87233026,87678542,87719479,87791386,87866009,87946905,88513670,88640669,88795426,88927472,89007126,89473700,89909506,90826745,90848896,91035261,91062728,91382479,91606665,91680930,91910818,92039364,92250470,92667249,92728353,92798626,92825390,93127948,93574618,93810032,94128418,95144263,95292603,95483736,95638100,95817195,95862103,96471875,96578143,96845768,97082414,97092705,97222306,97243650,97292383,97713776,97792992,98075329,98573479,98753164,98874586,99062561,99140983,99282679,99655190,...,496262088297898523798697944194292408605264768155191362288171799628145132264369938500665124338402328828524335818874357014401073747308268193949124393054284022265800990350809037044084276514387102497814999147202556605972579437853666288187537838700308113182601132385599703645149767085856636350213657310090187891444565274896420116286293163365149519915144991293965419495630745062028202610094102929254728035545223290760901473455854549969605233631953347533458937302348606893171269395552873218977635232871598212402560165567894164982149217955760666356059199342899951711433615150554658023356266222012830658774952823522898108657546600556919338355696476462469471513624022030150711764220196093154682926356058462460832603888331280348699962450394110741691515470252219402419573287704746835432696005298911265180710550377954642932022965155052511899111611549684553193726891174965190986804610795306861152772616920256555075616543193814908433962950696944227276332122592436245762212933706249086236100317491822012086215811963961271119483009719193331731592695617477671015949219514203414006147253575048570841655495231337996038098207470760119450538143511327184123196444630347347095740989436640531953409927564281748724551999559694950101181488770178176096140869800368929377082595431244322139712868756035782621780681105712637977478125353877316552913143199718371704981071096046563660112378277877233990601221285650465763957678075955738227815786265048307041897503346750850478031494127492042138667878296909184815244369606357959691767989193336366592750733008075358535015128451704537405566620257746807527081500568094134852433451067956727251437118018418067767740213076829302769422364743847959135864865247929890738861950803084917947689228309026453803937988520766036923563914972405268271474000542219740470386369054488853649817885154065397993780302707385201040216843689497808014672322722288248927137772866912008646432517145829531902095703759153723225350981606537401661274115589738037260619882671734343273194887796847474730106692219039613689996483811203123573703591021552807313604198123409133447439215850087461097249547492037851156798010824821014894871210549275481526133268006581756300794798266536571427852969738999167650962570288930233792668339598132444205119222739745940615549728294434076926901225705132242674947723750357783037870022441949045813927682255651921661716009831251215120277421935212897681463659924147084662609524359165563374934038463317216687064317182621353294987288962124746606571219722988886116722211543644522769755344063781746972926994794692316789951031019329683382963155148273683425451636491264110485994518113828798471415394576185490502784324489123378619321091402534585820328081520702427964645060441150827602916940178144820622259380139938472122190901807763437420107238505443795081378962175408806760456597084166765566122928836791087451804119485089471503453241118038113881008574707478587785228634775173083245250867234472725435951502544278699845334300190929415757272724927131486780985941576582728919550037819350710935325455392381083719588767963055389382571759697548042121722289225278583030483947654043896829390220505175895855780434804513341284759910908560465765485032603114735462736870057267657853272017340401885488047650989249422806490032437828983648299410193806100963977835897259306445701682764318278576676263988791799239955278185683625144490874959789350654001436049623025490655343615984917591697194165394812247167633663589687476513397962556464970682656109213502901715394152946315685790199537869099262008693823263556489081301116277988437255495604845179654409454308340240868458197730547003920355385716274694137169446761478731894024126845465265740765670835060898751681159377838458274049530842541547137563745386050596775646791164682859201943597074075428125551252739477389046288883694569597949691067389657794244593251205483701601010316808988946751025876595140429970347989804685341346680676178402325768589531232187960204660306700925149268595933996539048688448244297376390721553852903147354461887101415248432604613651333685565154455055419778788222152466023172906573266398065379147766058429423119126304489038476268068444798941183175061558760496299425894738116757914868279831644465009205229647890414993716657288822632615230141230502769168913294859191190249589811385500071222951945414747199310438648480559978587119658931335482281014930590874377065357624435065361951028808452227977884178789244027009413630223285858029698317665478881415519135279085693709289204775683867088577508106687673152316735539295916160800823637266173741552718906310317053501742050218211559820458666565845212739587232855301833244674234990945181370503479120295013300263496574747683742405817670676415010964946169180453030667038287642287360802872116905114411865717182664609436029405404181509306289819335658361928626719691791073097757315275444984530483925495704921163195047915835852423757618446440081110570638084315087270410491082291833522578601092984254763653109666317373832783725778}
30897 4377398957124065827501543837200741728067602203156612669604029742234355276990051011843463: {123572,1204359,1698455,2038146,2130099,3026338,3549935,3794919,3979779,4105843,4259922,4323340,4903719,5188008,5217199,5772503,5836509,5865490,6176200,6324455,6696403,6948225,7038588,7347298,7411440,7589346,7905536,7990927,8172335,8211154,8337870,8829106,8893728,9566290,9806802,10005444,10433722,10434759,10496140,11140099,11415610,11479548,11730220,12089859,12433759,12528754,12595368,12641127,12785735,13163983,13698732,13707335,14076264,14169789,14693644,14941564,15209543,15342882,15394227,15747487,15835797,15943763,15980818,16320179,16448802,16677159,17240119,17592819,17657068,17898220,18141927,18453682,18805690,19934914,20293378,20518899,20990920,21041746,21432039,21477864,21494783,21681223,22474088,22496410,22566828,22829740,23074179,23263162,23485903,23614785,23621127,24162597,24167859,24865906,25189104,25283349,25464754,25935599,26841607,26965522,26995692,27348307,27395688,27488135,28123139,28337742,28990540,29078727,29175586,29881192,30099225,30632098,30820149,30893127,31229308,32105840,32876506,32985762,33551290,33616341,34074754,34478002,34788648,35059507,35360863,35656005,35673004,35716903,36119070,36321927,36378220,36683079,37186463,38033072,38250839,38527008,38797978,39069010,39137229,39368428,40261548,40584124,41215759,41471647,42080764,42136185,42268659,42447625,42482362,42628227,42787206,43342884,43359634,43653864,43760140,43979266,44783619,44945264,45424258,45860019,46109938,46523308,46882812,48254092,48678220,49029847,49110597,49149583,49799427,49915173,50085010,50162125,50301299,50563422,50779807,50937150,51704863,51943299,52512168,52714199,52943765,53370627,53560808,53901335,53927548,54332960,54618279,55060594,55637164,55976087,56408338,56729383,57977320,58176519,58347388,58413864,58424735,58446839,58475482,59076189,59242119,59245210,59368943,59422825,60102012,60194550,60255909,60462083,60977384,60979762,61124580,61134455,61902339,62610819,62713807,63269362,63532518,63914458,64207520,64681602,65199552,65224485,65715597,65748748,65871340,66159034,66324039,66503063,66934919,66994207,67444535,68043827,68441127,68599557,68793639,69091714,69572784,69749746,70109682,70143455,70213690,70805203,71094252,71307390,71485679,71586172,71733225,71893228,71961927,72074527,72233460,72244159,73349496,73361346,73864090,74116469,74245299,74265128,74524485,75633950,76061216,76428335,76515440,77049024,77590924,77811538,78269382,78439714,78731752,79045608,79324359,79492784,79499139,79679887,80583340,80830906,80933442,81943539,82083778,82283788,82518183,83548269,84172146,84256428,84740047,84889750,85079427,85447522,85499554,85568868,85935058,86079870,86268935,86680152,86818227,87194207,87210682,87686727,87952828,88155763,88573221,88636908,88719625,88886239,88926309,89103464,89429382,89792143,89800738,89972863,90309287,90619858,90727535,90760740,90808359,91500999,91714002,91818528,92366259,93498778,93947385,94958439,95706010,96004519,96501928,96621559,96700008,96742965,96811456,97365772,97440658,97515171,97545219,98226259,98529484,98601239,98613907,98958508,99462225,99647183,...,744393132446847785698046916291438612907897152232787043432257699442217698396554907750997686507603493242786503728311535521601610620962402290923686589581426033398701485526213555566126414771580653746722498720803834908958869156780499432281306758050462169773901698578399555467724650628784954525320485965135281837166847912344630174429439745047724279872717486940948129243446117593042303915141154393882092053317834936141352210183781824954407850447930021300188405953522910339756904093329309828466452849307397318603840248351841247473223826933640999534088799014349927567150422725831987035034399333019245988162429235284347162986319900835379007533544714693704207270436033045226067646330294139732024389534087693691248905832496920523049943675591166112537273205378329103629359931557120253149044007948366897771065825566931964398034447732578767848667417324526829790590336762447786480206916192960291729158925380384832613424814790722362650944426045416340914498183888654368643319400559373629354150476237733018129323717945941906679224514578789997597389043426216506523923829271305121009220880362572856262483242847006994057147311206140179175807215266990776184794666945521020643611484154960797930114891346422623086827999339542425151772233155267264144211304700553394065623893146866483209569303134053673932671021658568956966217188030815974829369714799577557557471606644069845490168567416815850985901831928475698645936517113933607341723679397572460562846255020126275717047241191238063208001817445363777222866554409536939537651983790004549889126099512113037802522692677556806108349930386620211290622250852141202278650176601935090877155677027627101651610319615243954154133547115771938703797297871894836108292926204627376921533842463539680705906982781149055385345872458607902407211000813329610705579553581733280474726827731098096990670454061077801560325265534246712022008484083432373390706659300368012969648775718744297853143555638730584838026472409806102491911173384607055890929824007601514909792331695271212095160038328559420534994725716804685360555386532329210970406297185113700171158823775131191645874321238056776735197016237231522342306815823913222289199902009872634451192197399804857141779454608498751476443855433395350689002509397198666307678834109618910923324592441651115390351838557698364012421585625536674556805033662923568720891523383477882492574014746876822680416132902819346522195489886220626993914286538748345062401057694975825030596475773932029942480933443187119909856829584483329175083317315466784154633016095672620459390492192038475184926546528994525074444732722410525138177454736896165728991777170743197707123091864278235754176486733685067928981637103801878730492122281053641946967590661726241404375410267217230933389070209907708183286352711645156130160857758165692622068443263113210140684895626250148349184393255186631177706179227634207255179861677057170821512862061217881677842952162759624867876300851709088153927253816418049768001450286394123635909087390697230171478912364874093379325056729026066402988183088571625579383151944583084073857639546322063182583433837917874545725921481065845244085330757763843783670652206770011927139866362840698648227548904672103194105305085901486779908026010602828232071476483874134209735048656743475472449115290709151445966753845888959668552524146477417865014395983187698859932917278525437716736312439684025981002154074434538235983015423977376387545791248092218370751450495384531214770096943834697456023984163820254352573091229419473528685299306803648893013040734895334733621951674416982655883243407267769481614181462510361302687296595820505880533078574412041205754170142218097841036190268197898611148506252591348127521739066757687411074296263812320706345618079075895163470186747024288802915395611113142188326879109216083569433325541854396924536601084486691366889876808225552401515475213483420126538814892710644955521984707028012020021014267603488652884296848281940306990460051387723902893900994808573032672366446064586082330779354721031692830652122872648906920477000528347731682583129668182333228699034759359859899597098068721649087644134678689456733557714402102667198411774762592338140744449138842107175136872302419747466697513807844471835622490574985933233948922845211845754153753369942288786785374384717078250106834427918122120798965657972720839967880679488397003223421522395886311565598036436652598042926543212678341966826268183866040514120445334928787044547476498218322123278702918628540563933807163525800632866262160031509728475103308943874241201235455899260612329078359465475580252613075327317339730687999848767819109380849282952749867011352486417772055755218680442519950395244862121525613608726506014622516447419253770679546000557431463431041204308175357671617798575773996914154044108106272263959434729003487542892940079537686609646635972913167476795725888243557381744792571873753778635636427669660121665855957126472630905615736623437750283867901639476382145479664499476060749175588667}
30898 4390795816934499795876312325633588013164483300080001211315686159992542744710566061813721: {154465,185358,524977,895201,1449997,1605812,1819501,2283566,2653358,2717528,2742001,2840132,3057219,4131086,4539507,4869086,5059892,5306372,5404175,5679896,5865037,6389883,6485010,6538292,6917344,6962317,7720250,7782012,8550446,8798235,9264300,9384784,9881920,10119128,10557882,10963501,11020947,11117160,11384019,11851358,11858304,11868001,12217406,12229297,12316731,12506805,13075736,13120175,13131277,13243659,13340592,13671601,13913012,14211277,14349435,14662775,14710203,15008166,15306064,15468001,15650583,15744210,16119812,16793824,16854836,16899937,17123415,17219322,17595330,18264976,18367055,18676955,18768352,18793131,18893052,19664827,20457176,20525636,20548098,20596766,21114396,21168097,21931736,22040466,22071335,22236212,22372775,22408286,22412346,22934257,23014323,23131886,23457092,23971227,24189236,24342001,24673203,24868717,25219501,26146043,26238650,26485602,26619757,26847330,27358532,27680523,28092610,28208535,28537175,28576052,28637152,29059117,29232817,29902371,30089104,30440067,30446701,30765572,30792877,31486380,31494836,31562619,31657057,32216796,32223812,33036001,33278938,33585472,33711132,33744615,33850242,34244610,34894743,34988126,35095777,35994256,36238175,36463201,36527584,37298859,37351490,37783656,38197131,38771636,38905358,39036635,39327106,40132300,40199857,40368877,40448283,40493538,40680158,41093532,41190836,42506613,42805166,43485810,43734157,43763379,43865726,43981016,44069101,44403757,44591255,44821788,45472775,45630446,45739501,45948147,46072717,46384864,46843962,46865707,46904497,47391566,47541340,48158760,48429236,48728077,48910772,49210535,49314759,49478643,49554097,50326935,50730155,51112131,51369344,51717003,52182972,52600955,53002958,53355211,53509506,53682064,54178605,54309517,54400046,54472417,54567330,54700175,54798001,56143166,56181580,56358212,56421601,56837636,57049608,57715297,57790512,58154135,58196967,58205152,58521517,58603515,58843501,59052642,59711492,59968177,60317615,60392322,60847775,60876186,61146692,61696958,62510416,63121146,63424958,63476963,63723543,64114657,64180809,64906477,64981987,65014326,65039451,65149358,65480796,65640210,65968899,66399236,66553564,66799501,66951010,67113997,67271137,67409435,67417896,67797223,67898977,67916200,68136387,68369101,68890283,69164907,69257732,69546455,69556186,69784962,69931501,70016224,70324218,71160836,72010958,72261601,72381138,72471650,72824372,72934235,73017330,73034701,73343437,73806001,74114017,75127515,75802957,75845133,76221730,76405725,76779806,77568692,77885152,77965531,78396001,78476126,78699697,78768252,78989492,80136016,80259400,80341212,80666701,80891322,81118897,81499440,82185935,82339175,82536452,82590891,82621537,83455746,83481092,83880158,84439187,84612507,84710024,85561358,85863899,85897166,85902001,86242136,86642701,86932736,86965980,87521082,87620796,87684226,87713223,88432052,88854001,88867815,89482715,89866535,89880397,90153018,90291825,90293434,90917006,91254836,91466076,91469643,91686870,91724852,92213197,92503501,92763712,92793517,92831410,93228001,93479576,93725338,94245566,94671601,94792336,94904043,94959457,95076520,95103277,95241326,95298777,95477746,95644300,95677837,95871687,95949236,96311280,96988655,97022403,97358723,97799328,97815128,98081687,98414690,98623122,98675377,98807010,98993732,99068983,99238551,99365980,99667501,...,992524176595797047597395888388584817210529536310382724576343599256290264528739877001330248676804657657048671637748714028802147494616536387898248786108568044531601980701618074088168553028774204995629998294405113211945158875707332576375075677400616226365202264771199407290299534171713272700427314620180375782889130549792840232572586326730299039830289982587930838991261490124056405220188205858509456071090446581521802946911709099939210467263906695066917874604697213786342538791105746437955270465743196424805120331135788329964298435911521332712118398685799903422867230301109316046712532444025661317549905647045796217315093201113838676711392952924938943027248044060301423528440392186309365852712116924921665207776662560697399924900788221483383030940504438804839146575409493670865392010597822530361421100755909285864045930310105023798223223099369106387453782349930381973609221590613722305545233840513110151233086387629816867925901393888454552664245184872491524425867412498172472200634983644024172431623927922542238966019438386663463185391234955342031898439028406828012294507150097141683310990462675992076196414941520238901076287022654368246392889260694694191481978873281063906819855128563497449103999119389900202362977540356352192281739600737858754165190862488644279425737512071565243561362211425275954956250707754633105826286399436743409962142192093127320224756555754467981202442571300931527915356151911476455631572530096614083795006693501700956062988254984084277335756593818369630488739212715919383535978386672733185501466016150717070030256903409074811133240515493615054163001136188269704866902135913454502874236036836135535480426153658605538844729487695918271729730495859781477723901606169835895378456618052907607875977041532073847127829944810536542948001084439480940772738108977707299635770308130795987560605414770402080433687378995616029344645444576497854275545733824017292865034291659063804191407518307446450701963213074803322548231179476074521239765343468686546389775593694949460213384438079227379992967622406247147407182043105614627208396246818266894878431700174922194499094984075702313596021649642029789742421098550963052266536013163512601589596533073142855705939477998335301925140577860467585336679196264888410238445479491881231099456588868153853802451410264485349895447500715566075740044883898091627855364511303843323432019662502430240554843870425795362927319848294169325219048718331126749868076926634433374128634365242706589974577924249493213142439445977772233444423087289045539510688127563493945853989589384633579902062038659366765926310296547366850903272982528220971989036227657596942830789152370981005568648978246757238642182805069171640656163041404855929290120882301655205833880356289641244518760279876944244381803615526874840214477010887590162757924350817613520913194168333531132245857673582174903608238970178943006906482236076227762017149414957175570457269550346166490501734468945450871903005088557399690668600381858831514545449854262973561971883153165457839100075638701421870650910784762167439177535926110778765143519395096084243444578450557166060967895308087793658780441010351791711560869609026682569519821817120931530970065206229470925473740114535315706544034680803770976095301978498845612980064875657967296598820387612201927955671794518612891403365528636557153352527977583598479910556371367250288981749919578701308002872099246050981310687231969835183394388330789624494335267327179374953026795925112929941365312218427005803430788305892631371580399075738198524017387646527112978162602232555976874510991209690359308818908616680481736916395461094007840710771432549388274338893522957463788048253690930531481531341670121797503362318755676916548099061685083094275127490772101193551293582329365718403887194148150856251102505478954778092577767389139195899382134779315588489186502410967403202020633617977893502051753190280859940695979609370682693361352356804651537179062464375920409320613401850298537191867993078097376896488594752781443107705806294708923774202830496865209227302667371130308910110839557576444304932046345813146532796130758295532116858846238252608978076952536136889597882366350123117520992598851789476233515829736559663288930018410459295780829987433314577645265230460282461005538337826589718382380499179622771000142445903890829494398620877296961119957174239317862670964562029861181748754130715248870130723902057616904455955768357578488054018827260446571716059396635330957762831038270558171387418578409551367734177155016213375346304633471078591832321601647274532347483105437812620634107003484100436423119640917333131690425479174465710603666489348469981890362741006958240590026600526993149495367484811635341352830021929892338360906061334076575284574721605744233810228823731434365329218872058810808363018612579638671316723857253439383582146195514630550889969060967850991409842326390095831671704847515236892880162221141276168630174540820982164583667045157202185968509527306219332634747665567451556}
30899 4404233441603767674862820219403026343738561513390200337505225705532082474915305949062145: {247144,278037,2007265,2377837,2408718,3396910,3425349,3550165,3980037,4076292,4260198,4969909,5772877,6052676,6196629,6324865,6451621,6632965,6822049,7099870,7303629,7589838,7959558,8172865,8211686,8519844,8646680,8854237,9727515,9807438,9844021,10376016,10434398,11441269,11545006,11580375,11673018,11730980,12065869,12352400,12556357,12648910,12825669,13392806,13896450,14077176,14694596,14822880,15178692,15210529,15811072,15836823,15944797,15981854,16258477,16321237,16344670,16422308,16675740,16998901,17391265,17658212,17777037,17787456,17900029,18326109,18842629,19132580,19190269,19613604,20008021,20010888,20149765,20867444,20869518,20992280,21068545,21496177,22280198,22512249,22543309,22831220,22959096,23460440,23616315,24023581,24068077,24179718,24867518,25057508,25190736,25282254,25571470,25657045,25828983,25937281,26243989,26327966,26392995,26773021,27397464,27414670,27724261,27776929,27795265,28152528,28339578,29321365,29387288,29883128,30236545,30419086,30685764,30788454,30822147,30895149,31494974,31671594,31887526,31961636,32640358,32897604,33060699,33236437,33326149,33354318,33612429,33618519,34198165,34480238,34697829,35185638,35314136,35720065,35796440,36229237,36283854,36655681,36907364,37611380,38233969,38456965,38483389,39357975,39368545,39728403,39869828,40270995,40279765,40586756,41037798,41368429,41561341,41818669,41981840,42083492,42138915,42864078,42955728,42989566,43362446,44320837,44948176,44992820,45133656,45205537,45659480,46148358,46526324,46971806,47229570,47242254,47365729,47476669,48325194,48335718,48464545,49731812,49918407,50165375,50378208,50566698,50775363,50929508,51366915,51488545,51718237,51803377,51871198,52482189,52850977,53683214,53931044,53991384,54501121,54696614,54791376,54976270,56027235,56246278,56349661,56675484,57022369,57981080,58157454,58351172,58358037,58990659,59426675,59762384,59850229,60198450,60416449,60536545,60740307,61020237,61137637,61138465,61264196,61640298,61786254,62264989,62458616,62561509,64207749,64211680,64494397,65228715,65753012,65798589,65971524,67102580,67178221,67232682,67242949,68149508,68445669,68956004,69073537,69577296,70119014,70200037,70226975,70265943,70447765,70721726,71047045,71087349,71201317,71312010,71346008,71433806,71455189,72238140,72643854,72756440,72901237,73366158,74121271,74372926,74639365,75461869,76066144,76433365,76501678,76560517,77054016,77595956,78138020,78274458,78594529,78736856,79445761,79504437,79953037,80264259,80523096,80576221,81168248,81600069,81794629,81850995,82431518,82943294,82999045,83191955,84161528,84214749,84272370,84537318,84588757,84895250,84964724,85256454,85574412,85588237,86564449,86572165,86593837,86685768,86719268,87307728,87520280,87958532,88578963,88951045,89567238,89890528,90588483,90848516,91030465,91314279,91720038,92219876,92545437,93046616,93429229,93765624,94422349,94681719,95137437,95457589,96508184,96960865,97356440,97452349,97521489,97724037,98059694,98200837,98221194,98299166,98460315,98736865,99598854,99830346,...,1488786264893695571396093832582877225815794304465574086864515398884435396793109815501995373015206986485573007456623071043203221241924804581847373179162852066797402971052427111132252829543161307493444997441607669817917738313560998864562613516100924339547803397156799110935449301257569909050640971930270563674333695824689260348858879490095448559745434973881896258486892235186084607830282308787764184106635669872282704420367563649908815700895860042600376811907045820679513808186658619656932905698614794637207680496703682494946447653867281999068177598028699855134300845451663974070068798666038491976324858470568694325972639801670758015067089429387408414540872066090452135292660588279464048779068175387382497811664993841046099887351182332225074546410756658207258719863114240506298088015896733795542131651133863928796068895465157535697334834649053659581180673524895572960413832385920583458317850760769665226849629581444725301888852090832681828996367777308737286638801118747258708300952475466036258647435891883813358449029157579995194778086852433013047847658542610242018441760725145712524966485694013988114294622412280358351614430533981552369589333891042041287222968309921595860229782692845246173655998679084850303544466310534528288422609401106788131247786293732966419138606268107347865342043317137913932434376061631949658739429599155115114943213288139690980337134833631701971803663856951397291873034227867214683447358795144921125692510040252551434094482382476126416003634890727554445733108819073879075303967580009099778252199024226075605045385355113612216699860773240422581244501704282404557300353203870181754311354055254203303220639230487908308267094231543877407594595743789672216585852409254753843067684927079361411813965562298110770691744917215804814422001626659221411159107163466560949453655462196193981340908122155603120650531068493424044016968166864746781413318600736025939297551437488595706287111277461169676052944819612204983822346769214111781859648015203029819584663390542424190320076657118841069989451433609370721110773064658421940812594370227400342317647550262383291748642476113553470394032474463044684613631647826444578399804019745268902384394799609714283558909216997502952887710866790701378005018794397332615357668219237821846649184883302230780703677115396728024843171251073349113610067325847137441783046766955764985148029493753645360832265805638693044390979772441253987828573077496690124802115389951650061192951547864059884961866886374239819713659168966658350166634630933568309266032191345240918780984384076950369853093057989050148889465444821050276354909473792331457983554341486395414246183728556471508352973467370135857963274207603757460984244562107283893935181323452482808750820534434461866778140419815416366572705423290312260321715516331385244136886526226420281369791252500296698368786510373262355412358455268414510359723354114341643025724122435763355685904325519249735752601703418176307854507632836099536002900572788247271818174781394460342957824729748186758650113458052132805976366177143251158766303889166168147715279092644126365166867675835749091451842962131690488170661515527687567341304413540023854279732725681397296455097809344206388210610171802973559816052021205656464142952967748268419470097313486950944898230581418302891933507691777919337105048292954835730028791966375397719865834557050875433472624879368051962004308148869076471966030847954752775091582496184436741502900990769062429540193887669394912047968327640508705146182458838947057370598613607297786026081469790669467243903348833965311766486814535538963228362925020722605374593191641011761066157148824082411508340284436195682072380536395797222297012505182696255043478133515374822148592527624641412691236158151790326940373494048577605830791222226284376653758218432167138866651083708793849073202168973382733779753616451104803030950426966840253077629785421289911043969414056024040042028535206977305768593696563880613980920102775447805787801989617146065344732892129172164661558709442063385661304245745297813840954001056695463365166259336364666457398069518719719799194196137443298175288269357378913467115428804205334396823549525184676281488898277684214350273744604839494933395027615688943671244981149971866467897845690423691508307506739884577573570748769434156500213668855836244241597931315945441679935761358976794006446843044791772623131196072873305196085853086425356683933652536367732081028240890669857574089094952996436644246557405837257081127867614327051601265732524320063019456950206617887748482402470911798521224658156718930951160505226150654634679461375999697535638218761698565905499734022704972835544111510437360885039900790489724243051227217453012029245032894838507541359092001114862926862082408616350715343235597151547993828308088216212544527918869458006975085785880159075373219293271945826334953591451776487114763489585143747507557271272855339320243331711914252945261811231473246875500567735803278952764290959328998952121498351177334}
30900 4417711954460220893305535918332364267527548898087021224488832647306725763061089242298556: {216251,308930,370716,586739,895259,956939,1049954,1265219,1450091,1790402,1819619,1881179,2188859,2557811,2899994,2987891,3211624,3613077,3639002,3908171,4214531,4567132,5095365,5306716,5315771,5435056,5484002,5680264,5926451,6048491,6114438,6390297,6475379,6840971,7023659,7327979,7565845,7692899,7875251,8057531,8239739,8262172,9079014,9392051,9738172,10119784,10601891,10612744,10649805,10808350,11359792,11384757,11688011,11730074,11939337,12317529,12470819,12779766,12970020,13076584,13132139,13192211,13834688,13924634,14663725,14711157,15440500,15469019,15564024,15651597,17100892,17317509,17496371,17509527,17596470,17793731,17972051,18368245,18387851,18528600,18769568,18973365,19099739,19396019,19573691,19763840,19928819,20089209,20238256,20460971,20527885,20844675,21115764,21700139,21927002,22041894,22072765,22234320,22288979,22768038,22935779,23698931,23702716,23716608,23736002,23915725,23972781,23992091,24343619,24402179,24434812,24458594,24517005,24633462,24928859,25013610,25630091,25713877,26084305,26147737,26151472,26240350,26262554,26487318,26621531,26681184,27319979,27343202,27826024,28191419,28422554,28539025,28539491,28698870,29325550,29408411,29420406,30016332,30448739,30506459,30612128,30852611,30899869,30936002,31301166,31304277,31313699,31321885,31488420,31716731,32239624,32693891,33420297,33587648,33709672,33799874,34246830,34438644,35190660,36124211,36269577,36465659,36522539,36529952,36693131,36734110,37301277,37318019,37353910,37536704,37586262,37786104,37923381,38168579,38357205,38508299,39017339,39243371,39329654,39491949,39952045,40540571,40914352,41051272,41096196,41122005,41193532,41271899,42057971,42228792,42336194,42509367,42618491,43290059,43792979,43863472,44072099,44080932,44142670,44406779,44472424,44745550,44816572,44824692,45575891,45628629,45868514,45964811,46028646,46134205,46182681,46263772,46796891,46914184,47014225,47239931,47242461,47507391,47831289,47942454,48378472,48455651,48684002,48786539,48960537,49346406,49447451,49612499,49737434,49837285,49887419,50031477,50217059,50439002,50546411,50733445,50930291,51094691,51720357,51751571,52292086,52477300,52604365,52778457,52971204,53007371,53239514,53694660,54204611,54367571,54425781,54476171,54530459,54651289,54717064,55361046,56185220,56241025,56417070,56479499,57072971,57074350,57152104,57234659,57274304,57773099,58118234,58157905,58465634,58579259,59490731,59804742,60025811,60132731,60178208,60773579,60880134,60893402,61253459,61531144,61556697,61573019,61585754,62164765,62427757,62972760,62989672,63125238,63219491,63314114,63484331,63661885,64119131,64171979,64277651,64296117,64433592,64447624,64484349,64488899,64963739,65043669,65069171,65279939,65595851,65701091,66016619,66072002,66557876,66856619,67118699,67170944,67413805,67422264,67489230,67700484,67956011,68489220,68894749,68999771,69222537,69364331,69789486,69976252,70144211,70191554,70457709,70844355,70863381,70944841,71022217,71988512,72266699,72318299,72476350,72487791,72503577,72926402,72938965,73055168,73348619,73400051,73641337,74016611,74119259,74597718,74702980,75018229,75399659,75567312,75850047,75859379,76114499,76394262,76580245,76624139,77387099,77543272,77806797,77810716,78073270,78097571,78401579,78452219,78654212,78705299,78755891,79160339,79766051,80264600,80399714,80524821,80737754,80896566,80987076,81275291,81360316,81415789,81626411,82044921,82177379,82187064,82191265,82381672,82464405,82527491,82627451,83675099,83878225,84369417,84444661,84917699,85013226,85186885,85610332,85759811,86195005,86402219,86698259,86971620,87092531,87236181,87468314,87526758,87731452,87732131,87830411,87962032,88138202,88713491,88807514,88860419,89182510,89643576,89935691,90297675,90945550,91260892,91479002,91541339,91896294,92145434,92460447,92510219,92558579,92679381,92769728,92800259,92848571,93283019,93687924,93731414,93808994,93813131,94373209,94783132,95014331,95082680,95158139,95684819,96317520,96687611,96830579,96858472,96994945,97365037,97456154,97591859,97672525,97821544,98421070,98629518,98682611,98824571,98957286,99108194,99674819,...,2233179397340543357094140748874315838723691456698361130296773098326653095189664723252993059522810479728359511184934606564804831862887206872771059768744278100196104456578640666698379244314741961240167496162411504726876607470341498296843920274151386509321705095735198666403173951886354863575961457895405845511500543737033890523288319235143172839618152460822844387730338352779126911745423463181646276159953504808424056630551345474863223551343790063900565217860568731019270712279987929485399358547922191955811520745055523742419671480800922998602266397043049782701451268177495961105103197999057737964487287705853041488958959702506137022600634144081112621811308099135678202938990882419196073168602263081073746717497490761569149831026773498337611819616134987310888079794671360759447132023845100693313197476700795893194103343197736303546002251973580489371771010287343359440620748578880875187476776141154497840274444372167087952833278136249022743494551665963105929958201678120888062451428713199054387971153837825720037673543736369992792167130278649519571771487813915363027662641087718568787449728541020982171441933618420537527421645800972328554384000836563061930834452464882393790344674039267869260483998018627275455316699465801792432633914101660182196871679440599449628707909402161021798013064975706870898651564092447924488109144398732672672414819932209536470505702250447552957705495785427095937809551341800822025171038192717381688538765060378827151141723573714189624005452336091331668599663228610818612955951370013649667378298536339113407568078032670418325049791159860633871866752556423606835950529805805272631467031082881304954830958845731862462400641347315816111391893615684508324878778613882130764601527390619042117720948343447166156037617375823707221633002439988832116738660745199841424180483193294290972011362183233404680975796602740136066025452250297120172119977901104038908946327156232893559430666916191754514079417229418307475733520153821167672789472022804544729376995085813636285480114985678261604984177150414056081666159596987632911218891555341100513476471325393574937622963714170330205591048711694567026920447471739666867599706029617903353576592199414571425338363825496254429331566300186052067007528191595998923036502328856732769973777324953346171055515673095092037264756876610023670415100988770706162674570150433647477722044240630468041248398708458039566586469658661880981742859616245035187203173084927475091789427321796089827442800329561359729570488753449987525249951946400352463899048287017861378171476576115425554779639586983575223334198167231575414532364210688497186975331512229593121369275592834707262529460201055203786944911311405636191476366843160925840902771985178724213126230801651692800167210629723124549859058134935468390482573274497077866205329789339630422054686878750445047553179765559893533118537682902621765539585031171512464538586183653645033528856488278874603628902555127264461781761449254149304004350859182370907727262172091690514436737094622280137975170187078199208964549265714876738149455833749252221572918638966189547750301513753623637177764443197535732255992273291531351011956620310035781419599088522095944682646714016309582315915257704460339724078031808484696214429451622402629205145970230426417347345872127454337900261537666879005657572439432253595043187949563096579798751835576313150208937319052077943006462223303614707949046271932129162637373744276655112254351486153593644310290831504092368071952491460763057719273688258420586055897920410946679039122204686004200865855023250947967649730221803308444842544387531083908061889787461517641599235723236123617262510426654293523108570804593695833445518757774044382565217200273062233222888791436962119036854237227685490410560241072866408746186833339426564980637327648250708299976625563190773609803253460074100669630424676657204546425640450260379616444678131934866565954121084036060063042802810465958652890544845820920971380154163171708681702984425719098017099338193758246992338064163095078491956368617946720761431001585043195047749389004546999686097104278079579698791294206164947262932404036068370200673143206308001595235324287777014422233347416526321525410616907259242400092541423533415506867471724957799701846768535635537262461260109826866360356123154151234750320503283754366362396896973918162519903642038465191009670264567187658934696794109309957794128779629638035025900478804551598121542361336004786361133642429494654966369836108755885621691801421490577401898598786480094529185425309926831622723603706367697781836987235078396426740757839225981952019192063999546303457328142547848858249601034057459253316167265656041327559851185734586364576840826179518043867549342257761312038638001672294390293123612924526073014853395727321990742462132324318816791878304187010462628678820238613059828939907918739502430387177664730672145234377715621261335906909283008980364997567871379417892716847209870313250851603704918429146436438993498428182247526766001}
30901 4431231479203175112768656003393282995864663549193880208352617775506168780661519828825756: {463395,494288,556074,1574931,2685603,2810171,4014530,4349991,4755674,4817436,4970231,5458503,5708915,6452039,6633395,6793820,6822491,6850698,7100330,7624643,7960074,8152584,8226003,8520396,8854811,9171657,9286151,9939818,10327715,10522919,11442011,11545754,11633843,12105352,12172715,12393258,12557171,12649730,12903242,13265930,13485383,13618521,13644098,14199740,14607258,14839331,15179676,15919116,16212525,16259531,16345730,16423372,17000003,17039688,17293360,17595111,17708474,18171239,18843851,19169649,19300625,19455030,19614876,19688042,20686259,20752032,20868796,20886951,21376115,22544771,22882538,23090012,23160750,23346036,23461960,23645843,24025139,24131738,24347771,24704800,24746051,25112714,25195463,25297820,25651338,26245691,26394705,26785612,27726059,27792900,28154352,28209671,28444091,29389192,29495963,29628395,29636279,29645760,30357384,30421058,30543515,31044803,31622144,31640843,31673646,31889594,31963708,32516954,32642474,32689340,32844616,32890503,33062841,33351480,33997802,34152057,34782530,35100563,35316424,35554074,35574912,35604003,35800058,35919863,36652218,36687891,36906419,36950193,37520415,37685258,38265160,38380538,38443763,38913371,39183659,39227208,39360525,39393831,39730977,40016042,40021776,40299530,41014803,41049911,41734888,41739036,41984560,42137090,42331163,42633831,42732083,42816371,42975911,42992354,43048305,43236251,43988325,44130609,44560396,45024498,45086618,45662440,45918192,46235303,46404003,46920880,46951749,47232630,47877431,48047162,48136154,48359436,49735036,50008091,50115016,50381472,50564508,50632331,50699811,51142940,51314090,51370245,51491915,51657966,51874562,52379171,52487978,52655932,52785990,53546042,53590763,53839751,53897531,54330371,54794928,54829340,55093511,55101165,55115963,55448522,55553858,55590530,56020715,56030865,56305056,56379393,56391671,56679156,57829715,58259819,58642730,58774576,58994481,59068739,59766256,60473090,60838172,61371528,61576908,61644294,61790298,62989948,63343188,63504291,63730883,63775052,63923272,63977831,65169731,65280716,65596625,65795208,66121398,66214005,66404363,66472874,66652298,66708636,67118325,67224858,67237038,67850363,68396330,68672411,68802771,68960476,69042969,69395658,69522371,70231525,70371276,70628272,71440130,71592880,71913681,72083963,72253571,72458474,72567708,73026003,73311362,73814728,74019609,74606151,75222760,75658503,76220651,76467938,76913930,76966778,77235059,78438129,78715950,78737090,79392443,79456806,79739656,79859271,80541990,80559530,81173512,81250499,82010363,82075596,82736858,83041569,83122682,83197345,83637338,83963680,84147011,84166984,84277830,84625605,84751163,84924779,85593851,85611525,85728156,85911456,85979132,86724892,87177351,87470315,87698451,88641674,89707113,89896352,89985640,90267312,90411074,90480611,91318960,91320201,91340103,92296716,92378631,92534411,93052648,93378725,93943612,94459140,94473131,94484508,94528451,94687857,94731458,94953338,94971171,95226443,96650388,96671436,96929090,97241843,97263395,98317765,98626871,99108003,99463624,99465863,99699659,99836814,99968531,...,2977572529787391142792187665165754451631588608931148173729030797768870793586219631003990746030413972971146014913246142086406442483849609163694746358325704133594805942104854222264505659086322614986889994883215339635835476627121997729125227032201848679095606794313598221870898602515139818101281943860541127348667391649378520697717758980190897119490869947763792516973784470372169215660564617575528368213271339744565408840735127299817631401791720085200753623814091641359027616373317239313865811397229589274415360993407364989892895307734563998136355196057399710268601690903327948140137597332076983952649716941137388651945279603341516030134178858774816829081744132180904270585321176558928097558136350774764995623329987682092199774702364664450149092821513316414517439726228481012596176031793467591084263302267727857592137790930315071394669669298107319162361347049791145920827664771841166916635701521539330453699259162889450603777704181665363657992735554617474573277602237494517416601904950932072517294871783767626716898058315159990389556173704866026095695317085220484036883521450291425049932971388027976228589244824560716703228861067963104739178667782084082574445936619843191720459565385690492347311997358169700607088932621069056576845218802213576262495572587465932838277212536214695730684086634275827864868752123263899317478859198310230229886426576279381960674269667263403943607327713902794583746068455734429366894717590289842251385020080505102868188964764952252832007269781455108891466217638147758150607935160018199556504398048452151210090770710227224433399721546480845162489003408564809114600706407740363508622708110508406606441278460975816616534188463087754815189191487579344433171704818509507686135369854158722823627931124596221541383489834431609628844003253318442822318214326933121898907310924392387962681816244311206241301062136986848088033936333729493562826637201472051878595102874977191412574222554922339352105889639224409967644693538428223563719296030406059639169326781084848380640153314237682139978902867218741442221546129316843881625188740454800684635295100524766583497284952227106940788064948926089369227263295652889156799608039490537804768789599219428567117818433995005905775421733581402756010037588794665230715336438475643693298369766604461561407354230793456049686342502146698227220134651694274883566093533911529970296058987507290721664531611277386088781959544882507975657146154993380249604230779903300122385903095728119769923733772748479639427318337933316700333269261867136618532064382690481837561968768153900739706186115978100297778930889642100552709818947584662915967108682972790828492367457112943016705946934740271715926548415207514921968489124214567787870362646904965617501641068868923733556280839630832733145410846580624520643431032662770488273773052452840562739582505000593396737573020746524710824716910536829020719446708228683286051448244871526711371808651038499471505203406836352615709015265672199072005801145576494543636349562788920685915649459496373517300226916104265611952732354286502317532607778332336295430558185288252730333735351671498182903685924263380976341323031055375134682608827080047708559465451362794592910195618688412776421220343605947119632104042411312928285905935496536838940194626973901889796461162836605783867015383555838674210096585909671460057583932750795439731669114101750866945249758736103924008616297738152943932061695909505550183164992368873483005801981538124859080387775338789824095936655281017410292364917677894114741197227214595572052162939581338934487806697667930623532973629071077926456725850041445210749186383282023522132314297648164823016680568872391364144761072791594444594025010365392510086956267030749644297185055249282825382472316303580653880746988097155211661582444452568753307516436864334277733302167417587698146404337946765467559507232902209606061900853933680506155259570842579822087938828112048080084057070413954611537187393127761227961840205550895611575603979234292130689465784258344329323117418884126771322608491490595627681908002113390926730332518672729332914796139037439439598388392274886596350576538714757826934230857608410668793647099050369352562977796555368428700547489209678989866790055231377887342489962299943732935795691380847383016615013479769155147141497538868313000427337711672488483195862631890883359871522717953588012893686089583545246262392145746610392171706172850713367867305072735464162056481781339715148178189905992873288493114811674514162255735228654103202531465048640126038913900413235775496964804941823597042449316313437861902321010452301309269358922751999395071276437523397131810999468045409945671088223020874721770079801580979448486102454434906024058490065789677015082718184002229725853724164817232701430686471194303095987656616176432425089055837738916013950171571760318150746438586543891652669907182903552974229526979170287495015114542545710678640486663423828505890523622462946493751001135471606557905528581918657997904242996702354668}
30902 4444792139904019635868344101969695763153064862666036391179386342904963366532711516188726: {432502,617860,741432,834111,957001,1173478,1326937,1790518,1881301,1913878,2099908,2250517,2530438,2900182,3580804,3639238,3762358,4276057,4377718,5115622,5799988,5975782,6021795,6109897,6423248,7133511,7226154,7278004,7389301,7816342,8301001,8429062,8492275,9134264,10190730,10276047,10592183,10613432,10631542,10650495,10662997,10870112,10968004,11360528,11387317,11852902,11940111,12096982,12228876,12471637,12780594,12950758,13193077,13681942,14047318,14655958,14909727,15131690,15171097,15385798,15750502,16115062,16479478,16524344,17318631,17749675,18158028,18589887,18784102,18974595,19101001,19354863,19456537,19476344,19898895,19989301,20239568,20466147,20529215,20875801,21203782,21225488,21299610,21616700,21910887,22113877,22719584,22769514,23172277,23376022,23460148,23878674,24403801,24518595,24635058,24941638,25559532,25715543,25940040,26085995,26153168,26264278,26384422,26562711,27554377,27669376,27849268,28739039,28862515,29182545,29327450,29422314,29532063,30508501,30881000,30901871,30938038,31027657,31128048,31303194,31373401,31622275,31891477,33482015,34201784,34323807,34635018,34741125,34992742,35019054,35192940,35587462,35944102,36197607,36518027,36525001,36736490,36775702,37057200,37539136,37669071,37946730,38199478,38227801,38477007,38567497,38792038,39076501,39147382,39527680,39857638,39954635,40178418,40476512,40861675,40921942,41055770,41086639,41689350,42116917,42231528,42957337,43400278,43850639,43854004,44083788,44145530,44468640,44577958,45536076,45631587,45871558,47397862,47405432,47433216,47472004,47510469,47831450,47834391,47945562,47984182,48687238,48775431,48804358,48869624,48917188,48963711,49034010,49266924,49450837,49857718,50027220,50275417,50996703,51260182,51427754,52168610,52173795,52295474,52302944,52410901,52480700,52525108,52974636,53243062,53331111,53362368,53700087,54534217,54639958,54686404,54978327,55652048,55700495,55932863,56382838,56527887,56845108,57078050,57078982,57397740,57570807,57615637,58651100,58816822,58840812,60024063,60032664,60190357,60449295,60831157,60897478,61012918,61224256,61311001,61630537,61705222,61799738,61872004,62168795,62587417,62602332,62608554,62627398,62643770,62976840,63205635,63433462,63928675,64176457,64479248,64488531,64587887,65284501,65387782,65819915,66073801,66840594,67175296,67419344,67536747,67599748,67629927,68117557,68493660,68536675,68877288,69772199,70304917,70381320,70848945,71026823,72070743,72204231,72248422,72323401,72539154,72931318,73045078,73059904,73386262,73405237,73468220,73646111,74602554,74636038,74707820,75073408,75172524,75572208,75711577,75846762,76047715,76337158,76629577,76714410,76971135,77016598,77486949,77811843,78034678,78457801,78486742,78659308,78731967,78737435,78761497,78983898,79178985,79519477,79718815,79904090,79973401,80319063,81081142,81421067,81600895,81828704,82102544,82192392,82244010,82387064,82543798,83172783,83330787,83385795,83730901,83843903,84115942,84178777,84457584,84672388,85018734,85236982,85667017,86200595,86408437,86580118,87030671,87585958,87726944,87738457,87885877,87964095,88144198,88161864,88285340,88657907,88813558,88944848,89126639,89356117,89491100,89633144,89649384,90381001,90709635,91151782,91257258,91547977,91737028,91929622,92057292,92268410,92365362,92466441,92527544,92565301,92685447,92855317,93593782,93828368,94028450,94379327,94479862,94484922,95014782,95662578,95884908,96756944,96885301,96911302,97368004,97573078,97921074,98692812,98894902,99021001,99182097,99224998,99304537,99474868,99674570,99709311,99774838,99978447,...,4466358794681086714188281497748631677447382913396722260593546196653306190379329446505986119045620959456719022369869213129609663725774413745542119537488556200392208913157281333396758488629483922480334992324823009453753214940682996593687840548302773018643410191470397332806347903772709727151922915790811691023001087474067781046576638470286345679236304921645688775460676705558253823490846926363292552319907009616848113261102690949726447102687580127801130435721137462038541424559975858970798717095844383911623041490111047484839342961601845997204532794086099565402902536354991922210206395998115475928974575411706082977917919405012274045201268288162225243622616198271356405877981764838392146337204526162147493434994981523138299662053546996675223639232269974621776159589342721518894264047690201386626394953401591786388206686395472607092004503947160978743542020574686718881241497157761750374953552282308995680548888744334175905666556272498045486989103331926211859916403356241776124902857426398108775942307675651440075347087472739985584334260557299039143542975627830726055325282175437137574899457082041964342883867236841075054843291601944657108768001673126123861668904929764787580689348078535738520967996037254550910633398931603584865267828203320364393743358881198899257415818804322043596026129951413741797303128184895848976218288797465345344829639864419072941011404500895105915410991570854191875619102683601644050342076385434763377077530120757654302283447147428379248010904672182663337199326457221637225911902740027299334756597072678226815136156065340836650099582319721267743733505112847213671901059611610545262934062165762609909661917691463724924801282694631632222783787231369016649757557227764261529203054781238084235441896686894332312075234751647414443266004879977664233477321490399682848360966386588581944022724366466809361951593205480272132050904500594240344239955802208077817892654312465787118861333832383509028158834458836614951467040307642335345578944045609089458753990171627272570960229971356523209968354300828112163332319193975265822437783110682201026952942650787149875245927428340660411182097423389134053840894943479333735199412059235806707153184398829142850676727650992508858663132600372104134015056383191997846073004657713465539947554649906692342111031346190184074529513753220047340830201977541412325349140300867294955444088481260936082496797416916079133172939317323761963485719232490070374406346169854950183578854643592179654885600659122719459140977506899975050499903892800704927798096574035722756342953152230851109559279173967150446668396334463150829064728421376994373950663024459186242738551185669414525058920402110407573889822622811272382952733686321851681805543970357448426252461603303385600334421259446249099718116269870936780965146548994155732410659578679260844109373757500890095106359531119787066237075365805243531079170062343024929077172367307290067057712976557749207257805110254528923563522898508298608008701718364741815454524344183381028873474189244560275950340374156398417929098531429753476298911667498504443145837277932379095500603027507247274355528886395071464511984546583062702023913240620071562839198177044191889365293428032619164631830515408920679448156063616969392428858903244805258410291940460852834694691744254908675800523075333758011315144878864507190086375899126193159597503671152626300417874638104155886012924446607229415898092543864258325274747488553310224508702972307187288620581663008184736143904982921526115438547376516841172111795840821893358078244409372008401731710046501895935299460443606616889685088775062167816123779574923035283198471446472247234525020853308587046217141609187391666891037515548088765130434400546124466445777582873924238073708474455370980821120482145732817492373666678853129961274655296501416599953251126381547219606506920148201339260849353314409092851280900520759232889356263869733131908242168072120126085605620931917305781089691641841942760308326343417363405968851438196034198676387516493984676128326190156983912737235893441522862003170086390095498778009093999372194208556159159397582588412329894525864808072136740401346286412616003190470648575554028844466694833052643050821233814518484800185082847066831013734943449915599403693537071271074524922520219653732720712246308302469500641006567508732724793793947836325039807284076930382019340529134375317869393588218619915588257559259276070051800957609103196243084722672009572722267284858989309932739672217511771243383602842981154803797197572960189058370850619853663245447207412735395563673974470156792853481515678451963904038384127999092606914656285095697716499202068114918506632334531312082655119702371469172729153681652359036087735098684515522624077276003344588780586247225849052146029706791454643981484924264648637633583756608374020925257357640477226119657879815837479004860774355329461344290468755431242522671813818566017960729995135742758835785433694419740626501703207409836858292872877986996856364495053532002}
30903 4458394061007330113278197192552900832205375527615852236723186894294732530706413785051714: {648753,772325,926790,988576,1112148,1760217,2624885,2685777,2870817,3149862,3736601,3795657,4350273,4476005,5371206,5458857,5620342,5643537,6566577,7249985,7625137,7673433,7809857,7992481,8029060,8699982,8921141,8963673,9097505,9286753,9511348,9634872,9940462,10839231,10917006,11417830,11724513,12436177,12643593,12904078,13266790,13587640,13644982,13701396,13710005,13913801,14200660,14458801,14840293,15249286,15286095,15920148,15947313,16305168,16452006,17040792,17041801,17709622,17779353,17979137,18145473,18172417,18343314,18572302,19170891,19426137,19879636,20522913,20577617,20655430,21045838,21070977,21983937,22697535,22884022,23078697,23091508,23267686,23625753,24172593,24210704,24345430,24447397,24640361,24719217,24786516,25114342,25197097,25299460,25806484,26531860,26970766,27020875,27237042,27288196,28128617,28176153,28399480,29081177,29214516,29245333,29325185,29638201,29678662,29926561,30156137,30359352,31805673,31838232,31949415,32425050,32519062,32691460,32846744,34000006,34079376,34154271,34586720,34811585,35064033,35190222,35416948,35818011,36342478,36952587,37412457,37687702,38339298,38601250,38910060,39229752,39230041,39376084,39396417,39576633,41095057,41372518,41479753,41504064,41737592,41773902,42204901,42752230,42760921,43463033,43616677,43991175,44133471,45089542,45765076,46180024,46321500,46407057,46692072,46923920,46954791,47291686,48050278,48263476,48695542,49409600,49492102,50225428,50311097,50390926,50595640,50789713,51302676,51952527,52489113,52491382,52528581,52789410,53381193,53571224,53916153,54817505,55104735,55163553,55452118,55585800,56308704,56419342,56888182,56920095,56980633,57299217,58188057,58721073,58778384,58991926,59114933,59256790,59272558,59291520,59340005,59786457,60238417,60267627,60473897,60714768,60842116,61087030,61146485,61382913,61583655,62089606,62534025,63244288,63281686,63347292,63423377,63779188,63927416,65033908,65100417,65110513,65284948,65378680,65600875,65656385,65689232,65781006,66125682,66218295,66702960,66866937,66947957,67995604,68057081,68304114,68358005,68807337,69565060,70201126,70632848,71056385,71096793,71108148,71149824,71208006,71600116,71747175,71839726,71918343,71976273,72088681,73030857,73206537,73304436,73313875,73375782,73551015,73812838,73900386,74216641,74512457,74786577,75040830,75370516,75732353,76530320,76730273,76761076,76887526,76890273,77018773,77141631,77340005,77826742,78252915,78367318,78429001,78443211,78454416,78721050,78787662,79461954,79864593,80032084,80043552,80599060,80961601,81959937,82029606,82099822,83469776,83478072,83969120,84274180,84499685,84574257,84662326,85267662,85464166,85617075,85618473,85632742,85951822,85984708,86096610,86472502,87976650,88225233,88261218,89120792,90048996,90134117,90173236,90326933,91277797,91324880,91346217,91519377,91658641,91835275,91836384,92470606,92557833,92699607,92808006,93384775,93441401,93841760,93903498,93912831,93941097,93965655,94465260,95150193,95754862,96023317,96094324,96272308,96718872,98081673,98324135,99470072,...,6699538192021630071282422246622947516171074370095083390890319294979959285568994169758979178568431439185078533554803819694414495588661620618313179306232834300588313369735922000095137732944225883720502488487234514180629822411024494890531760822454159527965115287205595999209521855659064590727884373686217536534501631211101671569864957705429518518854457382468533163191015058337380735236270389544938828479860514425272169891654036424589670654031370191701695653581706193057812136839963788456198075643766575867434562235166571227259014442402768995806799191129149348104353804532487883315309593997173213893461863117559124466876879107518411067801902432243337865433924297407034608816972647257588219505806789243221240152492472284707449493080320495012835458848404961932664239384014082278341396071535302079939592430102387679582310029593208910638006755920741468115313030862030078321862245736642625562430328423463493520823333116501263858499834408747068230483654997889317789874605034362664187354286139597163163913461513477160113020631209109978376501390835948558715314463441746089082987923263155706362349185623062946514325800855261612582264937402916985663152002509689185792503357394647181371034022117803607781451994055881826365950098397405377297901742304980546590615038321798348886123728206483065394039194927120612695954692277343773464327433196198018017244459796628609411517106751342658873116487356281287813428654025402466075513114578152145065616295181136481453425170721142568872016357008273995005798989685832455838867854110040949002134895609017340222704234098011254975149373479581901615600257669270820507851589417415817894401093248643914864492876537195587387201924041947448334175680847053524974636335841646392293804582171857126353162845030341498468112852127471121664899007319966496350215982235599524272541449579882872916034086549700214042927389808220408198076356750891360516359933703312116726838981468698680678292000748575263542238251688254922427200560461463503018368416068413634188130985257440908856440344957034784814952531451242168244998478790962898733656674666023301540429413976180724812868891142510990616773146135083701080761342415219000602799118088853710060729776598243714276015091476488763287994698900558156201022584574787996769109506986570198309921331974860038513166547019285276111794270629830071011245302966312118488023710451300942433166132721891404123745196125374118699759408975985642945228578848735105561609519254782425275368281965388269482328400988684079188711466260349962575749855839201057391697144861053584134514429728346276664338918760950725670002594501694726243597092632065491560925994536688779364107826778504121787588380603165611360834733934216908574429100529482777522708315955536172639378692404955078400501631889169373649577174404806405171447719823491233598615989368018891266164060636251335142659539296679680599355613048707865296618755093514537393615758550960935100586569464836623810886707665381793385345284347762447912013052577547112723181786516275071543310211283866840413925510561234597626893647797144630214448367501247756664718755916898568643250904541260870911533293329592607196767976819874594053035869860930107344258797265566287834047940142048928746947745773113381019172234095425454088643288354867207887615437910691279252042037616382363013700784613000637016972717318296760785129563848689289739396255506728939450626811957156233829019386669910844123847138815796387487912121232829965336763054458460780932930872494512277104215857474382289173157821064775261758167693761232840037117366614058012602597565069752843902949190665409925334527633162593251724185669362384552924797707169708370851787531279962880569325712413781087500336556273322133147695651600819186699668666374310886357110562711683056471231680723218599226238560500018279694941911982944752124899929876689572320829409760380222302008891274029971613639276921350781138849334034395804599697862363252108180189128408431397875958671634537462762914140462489515126045108953277157294051298014581274740977014192489285235475869105853840162284293004755129585143248167013640999058291312834238739096373882618494841788797212108205110602019429618924004785705972863331043266700042249578964576231850721777727200277624270600246520602415174873399105540305606906611787383780329480599081068369462453704250961509851263099087190690921754487559710926115395573029010793701562976804090382327929873382386338888914105077701436413654794364627084008014359083400927288483964899109508326267656865075404264471732205695796359440283587556275929780494868170811119103093345510961705235189280222273517677945856057576191998638910371984427643546574748803102172377759948501796968123982679553557203759093730522478538554131602648026773283936115914005016883170879370838773578219044560187181965972227386396972956450375634912561031387886036460715839179486819723756218507291161532994192016435703133146863784007720727849026941094992703614138253678150541629610939752554811114755287439309316980495284546742580298003}
30904 4472037367331984559159495810075976490462367527164666449026241474921272867907440778392125: {339823,710263,865004,1235720,1390185,1482864,1635103,1668222,1914002,2346956,2653874,3111103,3581036,3762602,3827756,4031263,4199816,4501034,4724793,5060876,5800364,5866183,6049279,6963679,7146343,7161608,7278476,7524716,8056809,8430513,8552114,8755436,9514423,10036325,10231244,10603279,11599976,11889185,11951564,12043590,12219794,12846496,13049973,14267022,14452308,14556008,14778602,14910693,15632684,16375509,16602002,16858124,16903279,16984550,17081983,17126745,17750825,18268528,19356117,19900185,20381460,20467473,20552094,21172303,21184366,21226864,21263084,21300990,21325994,21740224,21936008,22409623,22721056,22774634,22873929,23705804,23880222,24193964,24457752,24678009,24849545,24943274,25561188,25750279,25901516,26386154,26564433,27363884,27514971,27858453,28094636,28740901,28864385,29238679,29311916,29412343,29819454,30263380,30342194,30771596,30799063,30983145,31501004,31568757,31624325,32230124,32258105,32958956,33048688,33164825,34110245,34245703,34326033,34588783,34637262,34901529,35102863,35274079,35499350,36316056,36518145,36520393,37179774,37568204,37671513,37949190,38202002,38709726,38913074,38952688,39797790,39978602,40377079,40407521,40456149,40479136,40546063,40855563,40864325,40932294,41058430,41089301,41751602,42407564,42450976,42599220,42736303,43233400,43575463,43821774,43910623,44227754,44271185,44517993,45439168,45539028,46082143,46344554,46752044,46874821,46914103,46920296,47080279,47757348,48556937,48637575,48778593,48807602,49037190,49220105,49270116,49564279,49883276,51000009,51119064,51431086,51880080,52171990,52306336,52528556,52768844,52785333,53125422,54320743,54483679,54513717,55108754,55338752,55698536,55936489,56531553,57206345,57478078,57508947,57725030,57888703,57901875,58365090,58654900,58844628,59064126,60141079,60329345,60782023,61017002,61762000,61803742,61876076,61900903,62055314,62058777,62256096,62606388,62660853,62746802,62781785,63244550,63334279,63782954,64128345,64286623,65078263,65710279,66656143,66964030,67285279,67634313,68403568,68647614,68696623,69270036,69478183,69482250,69985484,70038108,70385880,70937529,71174924,71888204,72075417,72395214,73036054,73043313,73050002,73472980,73551404,74114400,74129743,74238153,75078272,75338142,75586389,75893460,75972223,76052645,76398956,76455602,76954014,77134994,77194783,77499703,77584076,77980693,78153002,78294764,78737073,79055360,79184115,79715276,79723985,79909270,80356836,80953024,81286903,81292385,81606185,81723350,81843884,82111540,82173278,82639279,82789183,83178177,83378700,83985823,84233834,84463056,84629013,84994505,85332273,85880597,85914674,86800556,86956325,87036313,87105079,87701278,87708008,87843079,88167576,88291060,88487889,88726303,88885185,88908837,88937280,89155916,89500145,89899903,90046279,91072152,91263174,91630545,91651663,91743116,92147881,93134409,94213145,94795724,94810864,94866432,94922529,94944008,95020938,95124079,95662900,95668782,95891124,95951345,95968364,97374476,97550862,97608716,97739248,97834376,97927422,98068020,98100761,98533848,98671509,98839063,98901674,99088249,99188523,99715436,...,8932717589362173428376562995497263354894765826793444521187092393306612380758658893011972238091241918913438044739738426259219327451548827491084239074977112400784417826314562666793516977258967844960669984649646018907506429881365993187375681096605546037286820382940794665612695807545419454303845831581623382046002174948135562093153276940572691358472609843291377550921353411116507646981693852726585104639814019233696226522205381899452894205375160255602260871442274924077082849119951717941597434191688767823246082980222094969678685923203691994409065588172199130805805072709983844420412791996230951857949150823412165955835838810024548090402536576324450487245232396542712811755963529676784292674409052324294986869989963046276599324107093993350447278464539949243552319178685443037788528095380402773252789906803183572776413372790945214184009007894321957487084041149373437762482994315523500749907104564617991361097777488668351811333112544996090973978206663852423719832806712483552249805714852796217551884615351302880150694174945479971168668521114598078287085951255661452110650564350874275149798914164083928685767734473682150109686583203889314217536003346252247723337809859529575161378696157071477041935992074509101821266797863207169730535656406640728787486717762397798514831637608644087192052259902827483594606256369791697952436577594930690689659279728838145882022809001790211830821983141708383751238205367203288100684152770869526754155060241515308604566894294856758496021809344365326674398652914443274451823805480054598669513194145356453630272312130681673300199164639442535487467010225694427343802119223221090525868124331525219819323835382927449849602565389263264445567574462738033299515114455528523058406109562476168470883793373788664624150469503294828886532009759955328466954642980799365696721932773177163888045448732933618723903186410960544264101809001188480688479911604416155635785308624931574237722667664767018056317668917673229902934080615284670691157888091218178917507980343254545141920459942713046419936708601656224326664638387950531644875566221364402053905885301574299750491854856681320822364194846778268107681789886958667470398824118471613414306368797658285701353455301985017717326265200744208268030112766383995692146009315426931079895109299813384684222062692380368149059027506440094681660403955082824650698280601734589910888176962521872164993594833832158266345878634647523926971438464980140748812692339709900367157709287184359309771201318245438918281955013799950100999807785601409855596193148071445512685906304461702219118558347934300893336792668926301658129456842753988747901326048918372485477102371338829050117840804220815147779645245622544765905467372643703363611087940714896852504923206606771200668842518892498199436232539741873561930293097988311464821319157358521688218747515001780190212719062239574132474150731610487062158340124686049858154344734614580134115425953115498414515610220509057847127045797016597216017403436729483630909048688366762057746948378489120551900680748312796835858197062859506952597823334997008886291674555864758191001206055014494548711057772790142929023969093166125404047826481240143125678396354088383778730586856065238329263661030817841358896312127233938784857717806489610516820583880921705669389383488509817351601046150667516022630289757729014380172751798252386319195007342305252600835749276208311772025848893214458831796185087728516650549494977106620449017405944614374577241163326016369472287809965843052230877094753033682344223591681643786716156488818744016803463420093003791870598920887213233779370177550124335632247559149846070566396942892944494469050041706617174092434283218374783333782075031096177530260868801092248932891555165747848476147416948910741961642240964291465634984747333357706259922549310593002833199906502252763094439213013840296402678521698706628818185702561801041518465778712527739466263816484336144240252171211241863834611562179383283683885520616652686834726811937702876392068397352775032987969352256652380313967825474471786883045724006340172780190997556018187998744388417112318318795165176824659789051729616144273480802692572825232006380941297151108057688933389666105286101642467629036969600370165694133662027469886899831198807387074142542149049845040439307465441424492616604939001282013135017465449587587895672650079614568153860764038681058268750635738787176437239831176515118518552140103601915218206392486169445344019145444534569717978619865479344435023542486767205685962309607594395145920378116741701239707326490894414825470791127347948940313585706963031356903927808076768255998185213829312570191395432998404136229837013264669062624165310239404742938345458307363304718072175470197369031045248154552006689177561172494451698104292059413582909287962969848529297275267167513216748041850514715280954452239315759631674958009721548710658922688580937510862485045343627637132035921459990271485517671570867388839481253003406414819673716585745755973993712728990107064004}
30905 4485722184072282684796455769576775904481380760760769601760727771400883205871224730120208: {1081255,1297506,1544650,1853580,1977152,2224296,2502333,2871003,2933695,3520434,3674839,3980811,4415983,4476295,4784695,5249770,5371554,5643903,5741634,6266407,6299724,6326095,6751551,7250455,7473202,7591314,7810363,8700546,8921719,8952010,9098095,9229831,9405895,9970687,10149979,10742412,10917714,10944295,11240684,11287074,12736507,12789055,12828171,13133154,13914703,14499970,14592523,14939455,15213487,15250274,15346866,15619714,15984962,16058120,16324411,16443583,17399964,17842282,17927346,17980303,18065385,18195010,18329691,18573506,19022696,19194007,19269744,19405279,19540855,19880924,20578951,21072655,21248071,21400533,21678462,21834012,21996763,22167903,22835660,23449026,24641959,24872354,24903003,25287186,25476825,25808156,26533580,26578855,27175280,27289964,27402792,27420010,27539227,27827602,28401320,28917602,29083063,29632255,29680586,30242455,30498572,30499771,30572190,30828141,30921487,31776549,31840296,31894626,31951485,31988991,32376895,32610336,32904012,33090247,33242911,34081584,34083602,34161951,34204855,35118295,35419244,35558706,35639071,35820333,35958274,36290946,36344834,36639895,36686628,37144604,37196119,37414911,37580551,37829225,38260783,38341782,38464495,38852274,39376255,39579231,39759272,40287655,41045826,41055259,41155234,41198695,41310860,41376487,42019927,42091676,42141954,43967874,44329483,44729181,45395070,45513291,45768044,46157394,46183016,46350799,46535372,46960255,47251506,48345186,48421408,48576331,48690860,48736219,48894794,49280722,49438434,49573032,50228684,50394194,50598920,51612968,51728311,51955893,52727887,53009455,53063720,53249025,53941532,54041750,54474084,54576392,55769661,55969051,55990639,56257234,56352306,56445499,56798960,56923785,57303003,58064589,58162354,58369611,58429032,58440055,58490666,58650370,59276402,59357324,59384359,59696685,59853122,59861887,59967903,60312274,60718704,61149583,61398441,61587645,62354095,62627403,63611346,63676464,63898830,64507003,64850100,65038124,65209951,65382920,65660695,65693488,65732661,65961055,66069631,66341631,66520399,67256047,67797403,68000012,68158752,68308542,68495839,69173440,69516831,69623170,70128066,70213711,70380444,70833896,71469151,71504263,71636022,72684956,73211403,73318625,73555785,73905174,74824914,75235963,75375404,76678596,76744507,77038303,77146629,77147911,77202500,77345095,77820120,78147211,78257985,78459504,78460082,78584143,78752168,78792834,79153266,79688133,82190114,82663131,82745036,82959506,83008128,83076007,83475184,83547804,84409802,84605323,85504460,85521842,85605079,86217117,86587545,86610799,86926066,87233354,87481855,87547635,87982350,88266942,88596189,88615483,88968655,89860255,90179084,91525503,91530152,91841225,91918939,91918951,91939255,92360048,92643000,92705613,92814114,93082971,93384144,93847840,93909582,94120203,94485439,94583372,94866825,95498695,95674431,95701207,96100556,96350263,96526952,96980095,97391084,97868455,98819200,98984204,99478939,99644095,99673159,...,13399076384043260142564844493245895032342148740190166781780638589959918571137988339517958357136862878370157067109607639388828991177323241236626358612465668601176626739471844000190275465888451767441004976974469028361259644822048989781063521644908319055930230574411191998419043711318129181455768747372435073069003262422203343139729915410859037037708914764937066326382030116674761470472540779089877656959721028850544339783308072849179341308062740383403391307163412386115624273679927576912396151287533151734869124470333142454518028884805537991613598382258298696208707609064975766630619187994346427786923726235118248933753758215036822135603804864486675730867848594814069217633945294515176439011613578486442480304984944569414898986160640990025670917696809923865328478768028164556682792143070604159879184860204775359164620059186417821276013511841482936230626061724060156643724491473285251124860656846926987041646666233002527716999668817494136460967309995778635579749210068725328374708572279194326327826923026954320226041262418219956753002781671897117430628926883492178165975846526311412724698371246125893028651601710523225164529874805833971326304005019378371585006714789294362742068044235607215562903988111763652731900196794810754595803484609961093181230076643596697772247456412966130788078389854241225391909384554687546928654866392396036034488919593257218823034213502685317746232974712562575626857308050804932151026229156304290131232590362272962906850341442285137744032714016547990011597979371664911677735708220081898004269791218034680445408468196022509950298746959163803231200515338541641015703178834831635788802186497287829728985753074391174774403848083894896668351361694107049949272671683292784587609164343714252706325690060682996936225704254942243329798014639932992700431964471199048545082899159765745832068173099400428085854779616440816396152713501782721032719867406624233453677962937397361356584001497150527084476503376509844854401120922927006036736832136827268376261970514881817712880689914069569629905062902484336489996957581925797467313349332046603080858827952361449625737782285021981233546292270167402161522684830438001205598236177707420121459553196487428552030182952977526575989397801116312402045169149575993538219013973140396619842663949720077026333094038570552223588541259660142022490605932624236976047420902601884866332265443782808247490392250748237399518817951971285890457157697470211123219038509564850550736563930776538964656801977368158377422932520699925151499711678402114783394289722107168269028859456692553328677837521901451340005189003389452487194185264130983121851989073377558728215653557008243575176761206331222721669467868433817148858201058965555045416631911072345278757384809910156801003263778338747299154348809612810342895439646982467197231978736037782532328121272502670285319078593359361198711226097415730593237510187029074787231517101921870201173138929673247621773415330763586770690568695524895824026105155094225446363573032550143086620422567733680827851021122469195253787295594289260428896735002495513329437511833797137286501809082521741823066586659185214393535953639749188106071739721860214688517594531132575668095880284097857493895491546226762038344468190850908177286576709734415775230875821382558504084075232764726027401569226001274033945434636593521570259127697378579478792511013457878901253623914312467658038773339821688247694277631592774975824242465659930673526108916921561865861744989024554208431714948764578346315642129550523516335387522465680074234733228116025205195130139505687805898381330819850669055266325186503448371338724769105849595414339416741703575062559925761138651424827562175000673112546644266295391303201638373399337332748621772714221125423366112942463361446437198452477121000036559389883823965889504249799859753379144641658819520760444604017782548059943227278553842701562277698668068791609199395724726504216360378256816862795751917343269074925525828280924979030252090217906554314588102596029162549481954028384978570470951738211707680324568586009510259170286496334027281998116582625668477478192747765236989683577594424216410221204038859237848009571411945726662086533400084499157929152463701443555454400555248541200493041204830349746798211080611213813223574767560658961198162136738924907408501923019702526198174381381843508975119421852230791146058021587403125953608180764655859746764772677777828210155402872827309588729254168016028718166801854576967929798219016652535313730150808528943464411391592718880567175112551859560989736341622238206186691021923410470378560444547035355891712115152383997277820743968855287093149497606204344755519897003593936247965359107114407518187461044957077108263205296053546567872231828010033766341758741677547156438089120374363931944454772793945912900751269825122062775772072921431678358973639447512437014582323065988384032871406266293727568015441455698053882189985407228276507356301083259221879505109622229510574878618633960990569093485160596006}
30906 4499448636799068560245443934716409258421206939402068717739682325158459183429082671010372: {401609,679646,1142153,1420526,1450373,1635209,1730008,1946259,2066213,2316975,2471440,2742713,2780370,2965728,2988473,3172709,3270206,3336444,3828004,4582793,4693912,5280651,5307748,5500133,5927609,6110693,6222206,7025033,7162072,7525204,7655512,7874655,7876793,8057331,8059109,8062526,8241353,8399632,8612451,9002068,9449586,9575609,10121752,10603973,10664393,10785209,11207813,11209803,11386971,11600728,11732366,11871113,12098558,12112073,12473273,13050819,13375013,13428015,13915193,13927358,14050855,14292686,14323216,14556952,14574533,15049432,15292709,16113618,16376571,16644859,16861026,16930611,17104228,17510872,17797253,17975609,18153893,18569609,19028846,19577573,19699731,19755209,20072650,20462488,20642309,21206558,21409673,21704453,21749955,22875411,23020299,23175353,23199952,23292809,23429571,23703653,23778370,23903128,23977443,23996873,24087180,24348473,24439588,24851155,25692992,25810373,26099946,26335433,26763423,26891019,27292515,27860259,28371173,28534044,28544575,28904616,29112016,29557204,29821386,30858809,31031813,31265368,31895753,32260195,32413253,32517693,32751018,32872709,33166975,33204004,33274313,33716248,33806558,33969100,34112455,34163966,34253490,34305209,34789363,35173539,35501650,36302309,36537056,36700553,37308531,37836233,37930779,38123215,38685893,38712234,39025253,39800370,40410139,40762920,40934946,41104188,41130015,41741403,41954309,42234809,42344606,42368732,42453728,42526168,42601980,42651988,42795209,43376403,43480448,43634309,43872016,44274055,44520879,44750309,44819246,45161347,45307109,45442112,45549268,45747858,45751973,45858285,45974213,46307333,46430755,47138873,47411608,47415653,47754343,47760444,47841939,47913353,48387928,48560083,48631109,48915504,49356018,49567673,49622693,49699090,49886548,50556809,51105209,51122376,51125403,51269573,51500558,51638575,51762233,51803032,51926309,52614595,52772308,53128866,53338059,53671973,53937411,54378809,54436419,54517251,54541733,54727768,54813113,55029942,55716906,56189272,57084809,57210055,57246533,57385471,57481802,57512673,57728770,57731273,58169215,58278411,58477358,58537733,58623832,58824686,58859813,59503109,59638908,59663753,60198713,60465893,60526760,60684388,60839609,60863575,61543192,61568739,61598126,61732851,61905209,61966290,61979659,62785855,63002008,63137514,63212931,63232709,63248650,64132553,64291109,64460248,64516210,65451653,65917912,65951811,66030473,66097376,66329650,66660809,67027973,67289993,67426915,68092605,68127113,68220490,68231609,68491406,68652066,68908147,69177566,69236091,69274524,69803058,69951173,70159013,70205726,70314809,70418633,70548158,70877259,70998700,71092709,72488393,72517779,72632112,73036290,73040786,73342191,73826873,73921083,74032313,74157651,74196655,74359548,75136408,75343026,75569033,75591291,75824453,75898380,76404004,77419452,77826148,77905376,78620873,79177253,79595580,79631753,79957204,80088883,80689733,80754158,80815042,80890853,80912298,80958272,81062625,81092126,81297655,81443273,81711126,81728650,81864588,82116860,82178602,82195013,82545209,82795109,83503204,84290309,84385851,84461083,84528459,84815128,84901952,85000015,85198440,85472606,85679333,85778309,85926713,86466800,87150926,87243531,87643548,87735999,87751109,87821246,87849413,87894499,87898553,87975555,88455508,88542370,88879673,88914603,89035986,89075513,89779683,89955209,90101573,90468411,90856195,90878336,91078056,91658309,92164286,92689108,93504088,93749642,93828206,93840592,94160558,94219255,94699193,94891193,95178953,95417019,95514696,95848245,95897093,96503125,96851813,97113874,97275150,97557186,97615204,98074380,98440210,98467493,98540232,98846309,99128558,99766552,...,20098614576064890213847266739868842548513223110285250172670957884939877856706982509276937535705294317555235600664411459083243486765984861854939537918698502901764940109207766000285413198832677651161507465461703542541889467233073484671595282467362478583895345861616787997628565566977193772183653121058652609603504893633305014709594873116288555556563372147405599489573045175012142205708811168634816485439581543275816509674962109273769011962094110575105086960745118579173436410519891365368594226931299727602303686705499713681777043327208306987420397573387448044313061413597463649945928781991519641680385589352677373400630637322555233203405707296730013596301772892221103826450917941772764658517420367729663720457477416854122348479240961485038506376545214885797992718152042246835024188214605906239818777290307163038746930088779626731914020267762224404345939092586090234965586737209927876687290985270390480562469999349503791575499503226241204691450964993667953369623815103087992562062858418791489491740384540431480339061893627329935129504172507845676145943390325238267248963769789467119087047556869188839542977402565784837746794812208750956989456007529067557377510072183941544113102066353410823344355982167645479097850295192216131893705226914941639771845114965395046658371184619449196182117584781361838087864076832031320392982299588594054051733379389885828234551320254027976619349462068843863440285962076207398226539343734456435196848885543409444360275512163427706616049071024821985017396969057497367516603562330122847006404686827052020668112702294033764925448120438745704846800773007812461523554768252247453683203279745931744593478629611586762161605772125842345002527042541160574923909007524939176881413746515571379059488535091024495404338556382413364994697021959899489050647946706798572817624348739648618748102259649100642128782169424661224594229070252674081549079801109936350180516944406096042034876002245725790626714755064764767281601681384390509055105248205240902564392955772322726569321034871104354444857594353726504734995436372888696200970023998069904621288241928542174438606673427532971850319438405251103242284027245657001808397354266561130182189329794731142828045274429466289863984096701674468603067753724363990307328520959710594929763995924580115539499641057855828335382811889490213033735908898936355464071131353902827299498398165674212371235588376122356099278226927956928835685736546205316684828557764347275826104845896164808446985202966052237566134398781049887727249567517603172175091434583160752403543289185038829993016756282852177010007783505084178730791277896196474682777983610066338092323480335512365362765141809496834082504201802650725723287301588448332568124947866608517918136077214865235201504895667508120948731523214419215514343159470473700795847968104056673798492181908754005427978617890039041798066839146123595889856265280543612180847275652882805301759708394509871432660122996145380156035853043287343736039157732641338169545359548825214629930633851600521241776531683703792880680943391433890643345102503743269994156267750695705929752713623782612734599879988777821590303930459623782159107609582790322032776391796698863502143820426146786240843237319340143057516702286276362265929865064601623662846313732073837756126112849147089041102353839001911050918151954890282355388691546067869218188766520186818351880435871468701487058160009732532371541416447389162463736363698489896010289163375382342798792617483536831312647572423146867519473463194325785274503081283698520111352099842174037807792695209258531708847571996229776003582899487779755172557008087153658774393121509125112555362593839888641707977137241343262501009668819966399443086954802457560099005999122932659071331688135049169413695042169655797678715681500054839084825735948834256374699789630068716962488229281140666906026673822089914840917830764052343416548002103187413799093587089756324540567385225294193627876014903612388288742421387468545378135326859831471882153894043743824222931042577467855706427607317561520486852879014265388755429744501040922997174873938502716217289121647855484525366391636324615331806058288856772014357117918589993129800100126748736893728695552165333181600832872811800739561807245524620197316620916820719835362151340988441797243205108387361112752884529553789297261572072765263462679132778346186719087032381104688930412271146983789620147159016666742315233104309240964383093881252024043077250202781865451894697328524978802970595226212793415196617087389078320850762668827789341484604512433357309280036532885115705567840666820553033837568172728575995916731115953282930639724246409306517133279845505390904371948038660671611277281191567435615662394807944080319851808347742015050649512638112516320734657133680561545897916682159190918869351126904737683094163658109382147517538460459171268655521873484598982576049307109399440591352023162183547080823284978110842414761034451624888832819257664433344265862317927950941485853640227740894009}
30907 4513216851460856613835949462196325723127989832290158441421103316595694295672314228792798: {1019469,1513757,2130789,2162510,2595012,3089300,3707160,3954304,4107173,4170555,4448592,4785005,4905309,5004666,5218889,5742006,5867390,6266813,6634685,6698573,7040868,7349678,7961622,8831966,8856533,8952590,9230429,9333309,9406505,9569390,9971333,10150637,10499540,10743108,11143709,11252585,11287806,11483268,12093789,12532814,12559613,12599448,12652190,12737333,13168253,13503102,14174379,14500910,14593469,14946404,15182628,15322013,15620726,16262693,16444649,17003309,17245709,17401092,17598549,17843438,17904020,17904677,18147837,18196190,18459662,18811790,19406537,19941374,20299958,20891037,20915237,21249449,21380285,21439029,21484824,21688253,21835428,21888590,21998189,22481368,22574148,22720973,24170427,25291539,25473014,25578110,25656342,26266308,26779973,27357197,27541013,27829406,28543269,28999940,29185046,29501717,29878910,30108975,30426974,30500548,30501749,30549485,30693732,31239428,31809837,31969673,31969924,32116240,32648822,32887166,33092393,34559309,34799928,35372333,35667555,35684564,35854692,35960606,36130770,36390020,36659382,36946505,37147012,37210397,38045392,38243897,38388014,38539488,38810558,39081710,39149919,39761848,41157902,41485157,41505005,41572133,42145310,42339437,42461375,42496142,42801066,43356924,43668024,43993526,44335806,44732079,44917853,45217289,45327653,45671320,46244309,46767593,46898052,47027453,47488997,47886797,49126527,49165613,49283918,49744708,49806006,50574372,50709837,50953650,51245949,51295853,51380235,51616312,52389389,52960915,53067160,53157710,53252475,53314985,53850293,54350560,54515273,54579928,54778217,54805584,54840020,55078454,55126757,55655204,56364293,56402717,56802640,56936585,57037193,57678173,57835204,58068351,58166126,59264510,59361172,59700555,60432137,60484910,60997144,60999542,61144380,61402419,61656282,61842974,62281157,62358185,62577773,63516909,63553098,63680592,63789252,63902970,63977982,63990293,64753790,65182469,65220672,65744357,65808024,65965385,66180494,66417317,66485822,66708317,67195733,67228869,68163168,68167204,68323902,68409710,68621787,69535913,69707189,70236590,70838488,71117412,71278142,71640666,71916548,72267689,72581892,72689668,72920189,73279790,73373256,74034027,74213237,74289208,74392238,74548635,74829822,75161102,75658450,75855485,76235549,76360637,76521566,76554173,76683564,76928990,77250837,77704548,78615017,78752510,79158462,79518544,79693299,80575310,80796269,81816077,82091652,82110518,82310468,82397390,82544913,82621720,82752974,83575359,84039854,84183352,84283908,85144517,86222703,86586953,86593155,87295733,87716037,87935748,88237029,88658966,88748375,88915229,89458362,89841197,90790140,91026582,91536088,91924973,92314788,92345477,92366032,92397189,92701598,92872169,92949435,93070744,93920510,94503012,94706271,94872975,95505005,96690372,96774315,96842816,97152662,97282685,97381720,97472438,97789588,98258189,98561444,98876868,99146064,99494475,99946505,99988109,...,26798152768086520285129688986491790064684297480380333563561277179919837142275976679035916714273725756740314134219215278777657982354646482473252717224931337202353253478943688000380550931776903534882009953948938056722519289644097979562127043289816638111860461148822383996838087422636258362911537494744870146138006524844406686279459830821718074075417829529874132652764060233349522940945081558179755313919442057701088679566616145698358682616125480766806782614326824772231248547359855153824792302575066303469738248940666284909036057769611075983227196764516597392417415218129951533261238375988692855573847452470236497867507516430073644271207609728973351461735697189628138435267890589030352878023227156972884960609969889138829797972321281980051341835393619847730656957536056329113365584286141208319758369720409550718329240118372835642552027023682965872461252123448120313287448982946570502249721313693853974083293332466005055433999337634988272921934619991557271159498420137450656749417144558388652655653846053908640452082524836439913506005563343794234861257853766984356331951693052622825449396742492251786057303203421046450329059749611667942652608010038756743170013429578588725484136088471214431125807976223527305463800393589621509191606969219922186362460153287193395544494912825932261576156779708482450783818769109375093857309732784792072068977839186514437646068427005370635492465949425125151253714616101609864302052458312608580262465180724545925813700682884570275488065428033095980023195958743329823355471416440163796008539582436069360890816936392045019900597493918327606462401030677083282031406357669663271577604372994575659457971506148782349548807696167789793336702723388214099898545343366585569175218328687428505412651380121365993872451408509884486659596029279865985400863928942398097090165798319531491664136346198800856171709559232881632792305427003565442065439734813248466907355925874794722713168002994301054168953006753019689708802241845854012073473664273654536752523941029763635425761379828139139259810125804968672979993915163851594934626698664093206161717655904722899251475564570043962467092584540334804323045369660876002411196472355414840242919106392974857104060365905955053151978795602232624804090338299151987076438027946280793239685327899440154052666188077141104447177082519320284044981211865248473952094841805203769732664530887565616494980784501496474799037635903942571780914315394940422246438077019129701101473127861553077929313603954736316754845865041399850302999423356804229566788579444214336538057718913385106657355675043802902680010378006778904974388370528261966243703978146755117456431307114016487150353522412662445443338935736867634297716402117931110090833263822144690557514769619820313602006527556677494598308697619225620685790879293964934394463957472075565064656242545005340570638157186718722397422452194831461186475020374058149574463034203843740402346277859346495243546830661527173541381137391049791648052210310188450892727146065100286173240845135467361655702042244938390507574591188578520857793470004991026658875023667594274573003618165043483646133173318370428787071907279498376212143479443720429377035189062265151336191760568195714987790983092453524076688936381701816354573153419468831550461751642765117008168150465529452054803138452002548067890869273187043140518255394757158957585022026915757802507247828624935316077546679643376495388555263185549951648484931319861347052217833843123731723489978049108416863429897529156692631284259101047032670775044931360148469466456232050410390260279011375611796762661639701338110532650373006896742677449538211699190828678833483407150125119851522277302849655124350001346225093288532590782606403276746798674665497243545428442250846732225884926722892874396904954242000073118779767647931779008499599719506758289283317639041520889208035565096119886454557107685403124555397336137583218398791449453008432720756513633725591503834686538149851051656561849958060504180435813108629176205192058325098963908056769957140941903476423415360649137172019020518340572992668054563996233165251336954956385495530473979367155188848432820442408077718475696019142823891453324173066800168998315858304927402887110908801110497082400986082409660699493596422161222427626447149535121317922396324273477849814817003846039405052396348762763687017950238843704461582292116043174806251907216361529311719493529545355555656420310805745654619177458508336032057436333603709153935859596438033305070627460301617057886928822783185437761134350225103719121979472683244476412373382043846820940757120889094070711783424230304767994555641487937710574186298995212408689511039794007187872495930718214228815036374922089914154216526410592107093135744463656020067532683517483355094312876178240748727863888909545587891825801502539650244125551544145842863356717947278895024874029164646131976768065742812532587455136030882911396107764379970814456553014712602166518443759010219244459021149757237267921981138186970321192012}
30908 4527026954384960979390015097337431949983134951207173316495960305746477013075032591829377: {803218,1142227,1359292,2066347,2284306,2435491,2841052,2900746,3243765,3270418,3460016,3861625,3892518,3909187,4132426,4633950,4644307,4942880,5485426,5560740,5561587,5931456,5976946,6345418,6477067,6540412,6672888,7506999,7656008,8302627,8484787,8613009,8801085,9165586,9387824,10120987,10561302,10615496,10665091,11000266,11024517,11570491,11855218,11942433,12221386,12444412,13124425,13247949,13375891,13428885,14050066,14324144,14354085,15050408,15311024,15749310,15753586,16114662,16118218,16125052,16428547,16482706,16799264,16931709,17224902,18004136,18214507,18683005,18799221,18899172,18978285,19151218,19671197,20243504,20254653,21207946,21328786,21570418,21751365,21941587,22294891,22380025,22415626,22419606,22773942,23176891,23201456,23431089,23464732,23742226,24197116,24224146,24408667,24946546,26101638,26750026,26765157,26856030,27294285,27559891,27689493,27830386,27854716,28101710,28217685,28585372,28646432,29113904,29149066,29647747,29912061,30098864,30449937,30585418,32227236,32753142,32832885,33289718,33722052,33861222,34208456,34791617,35021744,35594506,35951218,36249925,36307786,36703027,37139218,37895491,38057692,38125685,38209521,38367165,38405467,38484513,39049285,39084427,39155146,39253987,39399462,39510418,39962405,40145300,40776787,40924976,41284618,41744109,42413116,42819346,43301827,43408906,43499910,43777569,44605705,44818365,45164273,45487525,45640461,45750822,46040598,46350706,46399904,46433765,46585618,46809667,46859142,47407306,47474227,47556740,47757437,47806256,47954886,47993746,48174360,48468907,48696946,48879176,48973233,49330749,49626091,49702310,50779747,51385984,51620746,51765787,52199892,52670866,53239987,53372501,53526846,53782038,53940909,54196155,54585030,54989073,55720518,56742346,57068088,57089150,57389189,57466027,57582021,57789091,57809232,58215837,58224032,58595491,58622565,59114408,59642772,61483627,61717618,61736853,61983677,62063626,62180885,62530736,62600491,63217965,63497533,63713827,63744213,63791506,64189891,64201599,64506907,64520390,64826506,65003057,65035386,65298187,65456227,65502036,65745418,65990289,66087667,66333950,66408008,66503709,66548626,67432496,67613116,67661227,67819193,67938200,68224910,68327932,68506980,68550025,68610418,69569005,69578726,70347078,71003300,71563627,72294005,72493507,72604618,73074112,73401106,73660433,73925877,74201465,74617062,74709009,75672466,75861558,75880891,76246430,76340107,76430475,77371786,77424468,78050506,78626467,79600740,79736565,79990507,80094077,80141707,80820278,81436901,81525840,81869892,82208376,82260030,82617681,83482806,83908618,84469618,84689212,84737464,84907456,85052336,85203960,85209005,85239667,85303976,85590418,86427091,86752806,86960896,87249189,87268618,87744032,87900197,87904891,88548110,88896765,89041758,89081947,89500618,89638492,89895685,90322694,90614218,90727365,90862085,90884224,91098536,91495716,91499313,91503946,91716570,91948426,92484423,92614666,92764461,92861510,94277746,94397681,94823216,94831306,95329647,95508686,95520888,95683878,95826706,95854455,95904091,95966973,96190867,96775856,96906547,97049467,97120166,97130685,97262218,97620427,97831008,98712036,99042787,99135346,99184627,99245386,99270741,99398180,99728733,99773096,...,40197229152129780427694533479737685097026446220570500345341915769879755713413965018553875071410588635110471201328822918166486973531969723709879075837397005803529880218415532000570826397665355302323014930923407085083778934466146969343190564934724957167790691723233575995257131133954387544367306242117305219207009787266610029419189746232577111113126744294811198979146090350024284411417622337269632970879163086551633019349924218547538023924188221150210173921490237158346872821039782730737188453862599455204607373410999427363554086654416613974840795146774896088626122827194927299891857563983039283360771178705354746801261274645110466406811414593460027192603545784442207652901835883545529317034840735459327440914954833708244696958481922970077012753090429771595985436304084493670048376429211812479637554580614326077493860177559253463828040535524448808691878185172180469931173474419855753374581970540780961124939998699007583150999006452482409382901929987335906739247630206175985124125716837582978983480769080862960678123787254659870259008345015691352291886780650476534497927539578934238174095113738377679085954805131569675493589624417501913978912015058135114755020144367883088226204132706821646688711964335290958195700590384432263787410453829883279543690229930790093316742369238898392364235169562723676175728153664062640785964599177188108103466758779771656469102640508055953238698924137687726880571924152414796453078687468912870393697771086818888720551024326855413232098142049643970034793938114994735033207124660245694012809373654104041336225404588067529850896240877491409693601546015624923047109536504494907366406559491863489186957259223173524323211544251684690005054085082321149847818015049878353762827493031142758118977070182048990808677112764826729989394043919798978101295893413597145635248697479297237496204519298201284257564338849322449188458140505348163098159602219872700361033888812192084069752004491451581253429510129529534563203362768781018110210496410481805128785911544645453138642069742208708889715188707453009469990872745777392401940047996139809242576483857084348877213346855065943700638876810502206484568054491314003616794708533122260364378659589462285656090548858932579727968193403348937206135507448727980614657041919421189859527991849160231078999282115711656670765623778980426067471817797872710928142262707805654598996796331348424742471176752244712198556453855913857671371473092410633369657115528694551652209691792329616893970405932104475132268797562099775454499135035206344350182869166321504807086578370077659986033512565704354020015567010168357461582555792392949365555967220132676184646960671024730725530283618993668165008403605301451446574603176896665136249895733217035836272154429730470403009791335016241897463046428838431028686318940947401591695936208113347596984363817508010855957235780078083596133678292247191779712530561087224361694551305765610603519416789019742865320245992290760312071706086574687472078315465282676339090719097650429259861267703201042483553063367407585761361886782867781286690205007486539988312535501391411859505427247565225469199759977555643180607860919247564318215219165580644065552783593397727004287640852293572481686474638680286115033404572552724531859730129203247325692627464147675512252225698294178082204707678003822101836303909780564710777383092135738436377533040373636703760871742937402974116320019465064743082832894778324927472727396979792020578326750764685597585234967073662625295144846293735038946926388651570549006162567397040222704199684348075615585390418517063417695143992459552007165798975559510345114016174307317548786243018250225110725187679777283415954274482686525002019337639932798886173909604915120198011998245865318142663376270098338827390084339311595357431363000109678169651471897668512749399579260137433924976458562281333812053347644179829681835661528104686833096004206374827598187174179512649081134770450588387255752029807224776577484842774937090756270653719662943764307788087487648445862085154935711412855214635123040973705758028530777510859489002081845994349747877005432434578243295710969050732783272649230663612116577713544028714235837179986259600200253497473787457391104330666363201665745623601479123614491049240394633241833641439670724302681976883594486410216774722225505769059107578594523144145530526925358265556692373438174064762209377860824542293967579240294318033333484630466208618481928766187762504048086154500405563730903789394657049957605941190452425586830393234174778156641701525337655578682969209024866714618560073065770231411135681333641106067675136345457151991833462231906565861279448492818613034266559691010781808743896077321343222554562383134871231324789615888160639703616695484030101299025276225032641469314267361123091795833364318381837738702253809475366188327316218764295035076920918342537311043746969197965152098614218798881182704046324367094161646569956221684829522068903249777665638515328866688531724635855901882971707280455481788018}
30909 4540879072278628201055830724739355696456133689615208613623856194958009448948205888187956: {1204827,1699115,2038938,3027514,3426459,3551315,4261578,4325020,4351119,4905627,5190024,5774747,5838777,6178600,6198639,6699007,6950925,7414320,7908608,8175515,8214346,8228139,8341110,8897184,8965419,9288559,9518127,9570010,9810618,9847211,10009332,10437778,11144431,11484012,11734780,12069779,12533626,13169107,13269370,13397146,13748379,14081736,14699356,14843179,15555515,15753619,15841953,15923244,15949967,16500399,17246827,17663932,17713066,17782827,17905180,18175951,18332079,18460858,18666618,18813010,19138780,19942666,20014511,20156315,20301274,20999080,21075099,21486216,21503147,21689659,22287418,22505170,22575612,22966536,23623965,23630379,24171993,24177327,24187578,24724059,25065628,25119226,25198896,25304380,25474666,25837353,25945691,26336506,26852059,27006204,27785939,28348758,28726827,29001820,29186938,29330915,29892808,29932399,30162011,30246395,30365256,30644026,31241452,31649059,31811919,31993179,32355627,32525386,32889298,33336959,33623439,33629409,34006618,34160913,34491418,34802184,34818395,35197098,35374627,35613339,35686876,35730811,35731715,35808040,35809354,36295674,36336219,36392380,36667571,36919324,37419819,37623580,38813074,39152457,39882748,40125039,40284045,40599916,41745579,41782074,41830474,42152565,42498898,42743179,42760570,42769279,42878058,42969648,43376506,43471499,43670856,43723599,43777180,43996378,44962736,45148296,45441946,45878127,46604939,47572115,48340854,49048939,49129713,49934577,50181625,50583078,50791833,50946028,51156220,51312684,51725107,52532616,53016395,53391759,53559946,53926827,54461679,54714394,55082026,55577899,55658812,55708827,57086538,57999880,58107007,58274947,58370092,58732719,58802927,59003434,59099193,59265627,59445925,59757820,60217950,60853948,61001096,61003498,61098970,61387464,61926927,62478856,63435731,63619674,63747451,63939346,63939848,64229019,64232480,64515407,65113359,65249865,65297644,65774332,66184786,68626233,69060897,69118618,69526059,69599856,69878427,70288713,70744666,71110959,71335110,71369128,71709384,71921212,71932329,71990619,72261540,72780040,73045419,73318764,73893010,74145281,74231119,74294024,74420794,74526971,74553465,74640979,76090784,76487794,76585487,76745219,76776028,77033827,77078976,77431119,77621116,78163420,78299838,79006299,79413139,79523696,79711219,79979027,80290269,80673057,81877545,82315804,82970314,83010010,83144266,83580777,84290620,84516395,84678874,84922750,84992284,85113519,85409915,85416719,85602132,85633725,86525627,86713848,87301459,87336048,87987052,88671612,88754125,89464158,89835706,90434578,90655306,91342640,92351539,92488618,92558467,92576427,93095439,93459659,93535186,93796104,94054906,94977994,95161519,95488619,95687259,95773594,96780585,97239759,97553079,98253054,98331226,98567836,98618127,99489416,99500925,99612012,99822939,...,60295843728194670641541800219606527645539669330855750518012873654819633570120947527830812607115882952665706801993234377249730460297954585564818613756095508705294820327623298000856239596498032953484522396385110627625668401699220454014785847402087435751686037584850363992885696700931581316550959363175957828810514680899915044128784619348865666669690116442216798468719135525036426617126433505904449456318744629827449529024886327821307035886282331725315260882235355737520309231559674096105782680793899182806911060116499141045331129981624920962261192720162344132939184240792390949837786345974558925041156768058032120201891911967665699610217121890190040788905318676663311479352753825318293975552261103188991161372432250562367045437722884455115519129635644657393978154456126740505072564643817718719456331870921489116240790266338880195742060803286673213037817277758270704896760211629783630061872955811171441687409998048511374726498509678723614074352894981003860108871445309263977686188575256374468475221153621294441017185680881989805388512517523537028437830170975714801746891309368401357261142670607566518628932207697354513240384436626252870968368022587202672132530216551824632339306199060232470033067946502936437293550885576648395681115680744824919315535344896185139975113553858347588546352754344085514263592230496093961178946898765782162155200138169657484703653960762083929858048386206531590320857886228622194679618031203369305590546656630228333080826536490283119848147213074465955052190907172492102549810686990368541019214060481156062004338106882101294776344361316237114540402319023437384570664304756742361049609839237795233780435888834760286484817316377527035007581127623481724771727022574817530644241239546714137178465605273073486213015669147240094984091065879698467151943840120395718452873046218945856244306778947301926386346508273983673782687210758022244647239403329809050541550833218288126104628006737177371880144265194294301844805044153171527165315744615722707693178867316968179707963104613313063334572783061179514204986309118666088602910071994209713863864725785626523315820020282598915550958315215753309726852081736971005425192062799683390546567989384193428484135823288398869591952290105023405809203261173091970921985562879131784789291987773740346618498923173567485006148435668470639101207726696809066392213394061708481898495194497022637113706765128367068297834680783870786507057209638615950054485673293041827478314537688494425340955608898156712698403196343149663181748702552809516525274303749482257210629867555116489979050268848556531030023350515252536192373833688589424048333950830199014276970441006537096088295425428490502247512605407952177169861904765344997704374843599825553754408231644595705604514687002524362846194569643257646543029478411421102387543904312170021395476545726262016283935853670117125394200517438370787669568795841630836542541826958648415905279125183529614297980368988436140468107559129862031208117473197924014508636078646475643889791901554801563725329595051111378642042830174301671930035307511229809982468803252087117789258140871347838203799639966333464770911791378871346477322828748370966098329175390096590506431461278440358722529711958020429172550106858829086797789595193804870988538941196221513268378338547441267123307061517005733152754455864670847066166074638203607654566299560560455055641307614406104461174480029197597114624249342167487391209091095469688030867490126147028396377852450610493937942717269440602558420389582977355823509243851095560334056299526522113423378085627775595126542715988689328010748698463339265517671024261460976323179364527375337666087781519665925123931411724029787503029006459899198329260864407372680297017997368797977213995064405147508241085126508967393036147044500164517254477207846502769124099368890206150887464687843422000718080021466269744522753492292157030249644006309562241397280761269268973621702155675882580883628044710837164866227264162405636134405980579494415646461682131231472668793127732403567119282821952684561460558637042796166266289233503122768991524621815508148651867364943566453576099174908973845995418174866570316043071353755769979389400300380246210681186086656495999544802498618435402218685421736573860591949862750462159506086454022965325391729615325162083338258653588661367891784716218295790388037398335038560157261097143314066791236813440951368860441477050000226945699312927722893149281643756072129231750608345596355684091985574936408911785678638380245589851262167234962552288006483368024453813537300071927840109598655347116703522000461659101512704518185727987750193347859848791919172739227919551399839536516172713115844115982014833831843574702306846987184423832240959555425043226045151948537914337548962203971401041684637693750046477572756608053380714213049282490974328146442552615381377513805966565620453796947728147921328198321774056069486550641242469854934332527244283103354874666498457772993300032797586953783852824457560920683222682027}
30910 4554773332230173305680273736464100980702984394001527048788906796707326873400373297203934: {525181,895549,1265629,1606436,1820209,2189569,2284454,2718584,3058407,3111709,3295921,4132694,4215901,4541271,4568612,4870982,5406275,5682104,5801492,6050461,6392367,6487530,6540836,6920032,7147741,7330369,7723250,7785036,7818374,8264852,9267900,9288614,9697981,9885760,10786621,10970852,11121480,11123174,11862912,11953892,12234109,12321519,12511665,12690836,12775729,12954134,13080824,13345776,13496881,14036989,14355015,14576449,14668475,14715927,15013998,15312016,15656667,15832669,16605254,16969574,17085361,17226018,17264029,17602170,17799601,18331172,18374195,18690781,18775648,18800439,19402429,19904055,20095719,20241974,21122604,21230992,21330182,22000532,22049034,22079915,22381475,23140982,23295901,23710436,23884866,23923475,24000061,24442772,24703069,24888824,25229569,25930561,26156207,26248850,26455549,26495898,26569599,26751782,26857770,27691287,27999927,28100132,28219515,28648288,28708170,29418241,29913999,30100816,30451911,30622048,30805249,31332035,31498620,31507172,31630475,32229324,32236436,32250104,32532529,32857094,32965412,33431127,33598528,33757755,33863418,34252609,34449804,35281201,35452381,36008272,36252275,36281367,36429014,37366010,37598442,37678839,37798344,37841341,37956570,38211999,38302436,39051815,39342394,39504759,40487008,40509306,40554301,41566909,42072241,42415892,42523137,42657572,43140836,43502730,43584349,43752001,43780407,43883174,44087089,44421889,44589782,44608595,44756401,44760050,44831252,44839212,45490475,45547884,45966039,46091569,46149155,46353782,46402912,46424641,46862178,46929464,47029475,47089921,47256061,47484452,48394232,48448292,48748081,48788079,48817334,49333947,49853435,49893092,49904509,50749895,51009927,51737127,52042801,52203276,52795647,53375959,53500052,53530314,53679361,53712060,53714031,54443511,54494941,54588570,54668999,54721475,54820669,55119782,55146109,55378986,55660772,55709432,55947367,55958449,56203420,56435370,56444989,57170744,57292864,58219611,58227808,58298132,58867969,59295494,59824122,60197728,60899874,61170836,62447987,62673111,62745711,63347521,63501647,63506461,63682535,63748347,63945275,64140855,64317087,64454472,64933681,65007271,65064759,65506284,65665770,65994567,66579436,66827569,67142209,67444104,67722444,67823587,68162919,68241181,68416912,68711089,68867581,69573515,69583234,69648961,70043488,70428541,70967831,71189012,71902436,72499850,72511281,72615572,72962615,73374529,73406054,74145469,74278436,74453341,74697275,75042539,75790982,75874617,76067435,76115384,76141489,76251370,76419042,76734330,76810934,76905949,76969026,78098570,78168854,78310292,78507974,78733309,78798924,79020836,79924810,80290600,80339919,80701249,81454909,81553574,81622055,81849952,81906241,82071591,82217915,82569236,82623039,82657021,82806961,82956829,83488218,84826232,85629807,85638692,85790641,86603654,86680129,86817812,86999820,87053239,87123901,87555138,87862081,88505151,88892509,89186269,89211410,89636730,89901515,90065821,90326925,90328546,90975050,91088689,91280922,91501644,91505247,91648455,91817149,92081196,92543809,92701412,92799808,92833969,92867530,93171236,93619334,93718284,94814612,94948454,95000989,95113480,95429511,95514874,95612512,95909019,95909772,95970035,95987492,96348720,96937814,97026395,97393892,97396607,97704275,97758352,97865149,97946466,98661498,99252182,99277179,99404620,99994369,...,80394458304259560855389066959475370194052892441141000690683831539759511426827930037107750142821177270220942402657645836332973947063939447419758151674794011607059760436831064001141652795330710604646029861846814170167557868932293938686381129869449914335581383446467151990514262267908775088734612484234610438414019574533220058838379492465154222226253488589622397958292180700048568822835244674539265941758326173103266038699848437095076047848376442300420347842980474316693745642079565461474376907725198910409214746821998854727108173308833227949681590293549792177252245654389854599783715127966078566721542357410709493602522549290220932813622829186920054385207091568884415305803671767091058634069681470918654881829909667416489393916963845940154025506180859543191970872608168987340096752858423624959275109161228652154987720355118506927656081071048897617383756370344360939862346948839711506749163941081561922249879997398015166301998012904964818765803859974671813478495260412351970248251433675165957966961538161725921356247574509319740518016690031382704583773561300953068995855079157868476348190227476755358171909610263139350987179248835003827957824030116270229510040288735766176452408265413643293377423928670581916391401180768864527574820907659766559087380459861580186633484738477796784728470339125447352351456307328125281571929198354376216206933517559543312938205281016111906477397848275375453761143848304829592906157374937825740787395542173637777441102048653710826464196284099287940069587876229989470066414249320491388025618747308208082672450809176135059701792481754982819387203092031249846094219073008989814732813118983726978373914518446347048646423088503369380010108170164642299695636030099756707525654986062285516237954140364097981617354225529653459978788087839597956202591786827194291270497394958594474992409038596402568515128677698644898376916281010696326196319204439745400722067777624384168139504008982903162506859020259059069126406725537562036220420992820963610257571823089290906277284139484417417779430377414906018939981745491554784803880095992279618485152967714168697754426693710131887401277753621004412969136108982628007233589417066244520728757319178924571312181097717865159455936386806697874412271014897455961229314083838842379719055983698320462157998564231423313341531247557960852134943635595745421856284525415611309197993592662696849484942353504489424397112907711827715342742946184821266739314231057389103304419383584659233787940811864208950264537595124199550908998270070412688700365738332643009614173156740155319972067025131408708040031134020336714923165111584785898731111934440265352369293921342049461451060567237987336330016807210602902893149206353793330272499791466434071672544308859460940806019582670032483794926092857676862057372637881894803183391872416226695193968727635016021711914471560156167192267356584494383559425061122174448723389102611531221207038833578039485730640491984581520624143412173149374944156630930565352678181438195300858519722535406402084967106126734815171522723773565735562573380410014973079976625071002782823719010854495130450938399519955111286361215721838495128636430438331161288131105567186795454008575281704587144963372949277360572230066809145105449063719460258406494651385254928295351024504451396588356164409415356007644203672607819561129421554766184271476872755066080747273407521743485874805948232640038930129486165665789556649854945454793959584041156653501529371195170469934147325250590289692587470077893852777303141098012325134794080445408399368696151231170780837034126835390287984919104014331597951119020690228032348614635097572486036500450221450375359554566831908548965373050004038675279865597772347819209830240396023996491730636285326752540196677654780168678623190714862726000219356339302943795337025498799158520274867849952917124562667624106695288359659363671323056209373666192008412749655196374348359025298162269540901176774511504059614449553154969685549874181512541307439325887528615576174975296891724170309871422825710429270246081947411516057061555021718978004163691988699495754010864869156486591421938101465566545298461327224233155427088057428471674359972519200400506994947574914782208661332726403331491247202958247228982098480789266483667282879341448605363953767188972820433549444451011538118215157189046288291061053850716531113384746876348129524418755721649084587935158480588636066666969260932417236963857532375525008096172309000811127461807578789314099915211882380904851173660786468349556313283403050675311157365938418049733429237120146131540462822271362667282212135350272690914303983666924463813131722558896985637226068533119382021563617487792154642686445109124766269742462649579231776321279407233390968060202598050552450065282938628534722246183591666728636763675477404507618950732376654632437528590070153841836685074622087493938395930304197228437597762365408092648734188323293139912443369659044137806499555331277030657733377063449271711803765943414560910963576036}
30911 4568709861710119252674348114731962195168432717519990224442208945239468129471316698720477: {30911,2008045,2378761,2409654,3398230,3426681,4077876,4971841,5710765,6055028,6199041,6454129,6824701,6852918,7102630,7251865,7306473,8176045,8523156,8650040,8702238,9731295,9811254,9847849,10331065,10380048,10526329,11445721,11549494,11584875,11637613,11677554,11727561,12070561,12357200,12397278,13398014,13489753,13713565,13901850,13917409,13932921,14828640,14942365,15817216,15863545,15951001,16351030,16428692,16456278,16682220,16684761,17794368,17930838,18577118,18849961,19036254,19140020,19431201,19621236,19694422,20015809,20018664,20582953,20692969,20875556,21504541,21777721,22288862,22520997,22552081,22913965,22968024,23469560,23653513,24032929,24077449,24139558,24907881,25067252,25454361,25839027,25947373,26254201,26338214,26403255,26538740,26794292,27496758,27500665,27735049,27787741,28135921,28163472,28218841,29398712,29638045,29686358,30362961,30553465,31054873,31111030,31507238,31683906,31846488,31899934,31995273,32866801,33000798,33073551,33339121,34493654,34711473,35125165,35327864,35426132,35565654,35646013,35810360,35827299,36351902,36664158,36669949,36921716,37333236,37626020,38277560,38456233,39196369,39373275,39383965,39743847,39885332,40029022,40127673,40286655,40295545,40312630,40602548,41063281,41206765,41834953,41998160,42150198,42344953,42972432,42989881,43006294,43062255,43379318,44574836,45010340,45151224,45933072,46359841,47247930,47260758,47384173,47878045,48343986,48354654,48375156,48585793,48745753,49285641,49448118,50024401,50131256,50238452,50324161,50397792,50608760,50795127,50949332,51674706,51823549,51891382,52087873,52673012,53019865,53321965,53704118,53926045,54012408,54643521,55571878,55979953,56039065,56049015,56397663,56697516,56934855,57453654,58003640,58373876,58473481,58661830,59013591,59130301,59355565,59785616,59864798,60324022,60492790,60560365,60730512,60763959,61288052,62366365,62482904,63298118,63623838,63986358,64711254,65050772,65190961,65222653,65254095,65778596,65824761,66533401,66600961,66673918,66875065,66884673,66965341,67140075,67246878,67258818,67810609,68013236,68074753,68321826,68509201,68982836,69530673,69575965,69604368,69636790,70254275,70293267,70394196,70569673,70749254,71226678,71229169,71373752,71461622,71463430,71616080,71618708,71633053,72591348,72672438,72784760,72872665,73226001,73335142,73838648,74222953,74839638,75247160,75250681,75752041,76245481,76463545,77053309,77260249,77626148,78162433,78304914,79765496,80250078,80295471,80568090,80607769,80919481,81199832,81882855,82679673,83068479,83224295,83491158,83564148,83660948,84305130,84615841,84621889,84653055,84997796,85486358,85521140,85538558,85756116,85939296,86627761,86753012,86942998,87233953,87341712,87447198,87554360,87992756,88312201,88632841,88943241,88986265,89736183,89878045,89925472,90157549,90296592,90510121,90637129,90769465,90883892,91349811,91756254,92670841,92848045,93209878,94503901,95144230,96681708,97273453,97887865,98097878,98259426,98498655,98776045,99692641,99869154,...,120591687456389341283083600439213055291079338661711501036025747309639267140241895055661625214231765905331413603986468754499460920595909171129637227512191017410589640655246596001712479192996065906969044792770221255251336803398440908029571694804174871503372075169700727985771393401863162633101918726351915657621029361799830088257569238697731333339380232884433596937438271050072853234252867011808898912637489259654899058049772655642614071772564663450630521764470711475040618463119348192211565361587798365613822120232998282090662259963249841924522385440324688265878368481584781899675572691949117850082313536116064240403783823935331399220434243780380081577810637353326622958705507650636587951104522206377982322744864501124734090875445768910231038259271289314787956308912253481010145129287635437438912663741842978232481580532677760391484121606573346426075634555516541409793520423259567260123745911622342883374819996097022749452997019357447228148705789962007720217742890618527955372377150512748936950442307242588882034371361763979610777025035047074056875660341951429603493782618736802714522285341215133037257864415394709026480768873252505741936736045174405344265060433103649264678612398120464940066135893005872874587101771153296791362231361489649838631070689792370279950227107716695177092705508688171028527184460992187922357893797531564324310400276339314969407307921524167859716096772413063180641715772457244389359236062406738611181093313260456666161653072980566239696294426148931910104381814344984205099621373980737082038428120962312124008676213764202589552688722632474229080804638046874769141328609513484722099219678475590467560871777669520572969634632755054070015162255246963449543454045149635061288482479093428274356931210546146972426031338294480189968182131759396934303887680240791436905746092437891712488613557894603852772693016547967347565374421516044489294478806659618101083101666436576252209256013474354743760288530388588603689610088306343054330631489231445415386357734633936359415926209226626126669145566122359028409972618237332177205820143988419427727729451571253046631640040565197831101916630431506619453704163473942010850384125599366781093135978768386856968271646576797739183904580210046811618406522346183941843971125758263569578583975547480693236997846347134970012296871336941278202415453393618132784426788123416963796990388994045274227413530256734136595669361567741573014114419277231900108971346586083654956629075376988850681911217796313425396806392686299326363497405105619033050548607498964514421259735110232979958100537697113062060046701030505072384747667377178848096667901660398028553940882013074192176590850856981004495025210815904354339723809530689995408749687199651107508816463289191411209029374005048725692389139286515293086058956822842204775087808624340042790953091452524032567871707340234250788401034876741575339137591683261673085083653917296831810558250367059228595960737976872280936215118259724062416234946395848029017272157292951287779583803109603127450659190102222757284085660348603343860070615022459619964937606504174235578516281742695676407599279932666929541823582757742692954645657496741932196658350780193181012862922556880717445059423916040858345100213717658173595579190387609741977077882392443026536756677094882534246614123034011466305508911729341694132332149276407215309132599121120910111282615228812208922348960058395194229248498684334974782418182190939376061734980252294056792755704901220987875885434538881205116840779165954711647018487702191120668112599053044226846756171255551190253085431977378656021497396926678531035342048522921952646358729054750675332175563039331850247862823448059575006058012919798396658521728814745360594035994737595954427990128810295016482170253017934786072294089000329034508954415693005538248198737780412301774929375686844001436160042932539489045506984584314060499288012619124482794561522538537947243404311351765161767256089421674329732454528324811272268811961158988831292923364262462945337586255464807134238565643905369122921117274085592332532578467006245537983049243631016297303734729887132907152198349817947691990836349733140632086142707511539958778800600760492421362372173312991999089604997236870804437370843473147721183899725500924319012172908045930650783459230650324166676517307177322735783569432436591580776074796670077120314522194286628133582473626881902737720882954100000453891398625855445786298563287512144258463501216691192711368183971149872817823571357276760491179702524334469925104576012966736048907627074600143855680219197310694233407044000923318203025409036371455975500386695719697583838345478455839102799679073032345426231688231964029667663687149404613693974368847664481919110850086452090303897075828675097924407942802083369275387500092955145513216106761428426098564981948656292885105230762755027611933131240907593895456295842656396643548112138973101282484939709868665054488566206709749332996915545986600065595173907567705648915121841366445364054}
30912 4582688788572339771354726683535621174514846213986141847877717519437833352137002210043896: {586967,957311,1050362,1265711,1327367,1635527,1791098,1820327,1881911,2189711,2251247,2531258,2558807,3173327,3212872,3357527,3614481,3640418,4032311,4277447,4379138,4568908,4583687,5097345,5437168,6111887,6116814,6223418,6591842,6843647,7391711,7568785,7695911,8060687,8242967,8265388,8431802,8607311,9082542,9137224,9741964,10279377,10653945,10787327,10812550,10968527,11364208,11391047,11602984,11692607,12100922,12776567,12784734,12836711,12975060,13053357,13081672,13497767,13840064,14097887,14295482,14660738,14716881,15446500,15475127,15570072,15636748,15833711,15893447,16529704,17324241,17324711,17516331,17979167,18157487,18535800,18577228,18595917,18751367,19395962,19403711,19462967,19759127,19771520,19936727,20097021,20535865,20852775,21177911,21413927,21573242,21941704,22242960,22246348,22415567,22650911,23297447,23725824,23907784,23925025,24353327,24468218,24526545,24643038,24684417,24704711,24763247,25023330,25381672,25551458,25640327,25723873,25908268,26094445,26161648,26515607,26691552,26896257,26993762,27854207,27865677,28073978,28550927,28554381,28710030,29152898,29336950,29431854,29541633,29651711,30027996,30624032,30807311,30865007,30911881,31038047,31313334,31326287,31334065,31665338,31671911,32592167,33051527,33173425,33210508,33433293,33453047,33492865,33939148,34170722,34254911,34312127,34452036,34528058,34826711,35204340,35599202,36209337,36480407,36662344,36748390,37049087,37381562,37551296,37600878,37900607,38014007,38523911,38804858,39507321,39808110,40191438,40483948,40782311,41245137,42131207,42245208,42411647,42461984,42660364,42971927,43643207,43810847,43864849,44001064,44098068,44159830,44282665,44424911,44529537,44759447,44762950,45483287,46152145,46281964,46316807,46591802,46666545,46926911,47032525,47148527,47260857,47420872,47525859,47769732,47846950,47849901,48000122,48806567,48885544,49406138,49501197,49777648,49856665,50237711,50459138,50567207,50753185,51280127,51740481,51861122,51937007,52101047,52312414,52497700,52701911,52911098,52991796,53139198,53348481,53503564,53715540,54527853,54553007,54672541,54824447,54996237,55382574,55718545,55999854,56016407,56200264,56262925,56439030,56502911,57258407,57296576,57416340,57904727,58119911,58836482,59247527,59676167,59827998,60043533,60201632,60468945,60478487,60903822,61244096,61598711,61610498,61918127,62130911,62452033,62664070,62798065,62997240,63014344,63225297,63260950,63686665,64304567,64458648,64472872,64500208,64509441,64515911,64608817,64990967,65065058,65068977,65307311,65623367,65714188,65841265,65930824,66044327,66674807,66832247,66862254,66884711,67197056,67515510,67670711,67726836,68402687,68505218,68899608,69794809,70329647,70562402,70871895,70891137,70904762,70972429,71049853,71107727,72016544,72504550,72515979,72531981,72562734,72858028,72967345,73431167,74172177,74458607,74732020,75047401,75196884,75357678,75596688,75682682,75738407,75913140,75993767,76423998,76452911,76604872,76610065,76911407,76962311,77420087,77512059,77837073,78103630,78435047,78684788,78738911,78789527,79009518,79800167,80253911,80556177,80974016,81018612,81108602,81313465,82223245,82962767,83012711,83133818,83357817,83871073,84009911,84144482,84208967,84831784,85016545,85046274,85251911,85315144,85945247,86180481,86228545,86281672,86439527,86686367,86735711,87005460,87168698,87504002,87560814,87766348,87770087,87917567,87992745,88174178,88686637,88843778,89155549,89179564,89192711,89217190,89512802,89520100,89523385,89662504,89678424,89797197,90121127,90486033,90739185,90980950,91095768,91143911,91823807,91872311,91932078,92183138,92298310,92598911,92707564,92805824,92840711,92849282,92889047,93724356,93858928,94058950,94179842,94335407,94512122,94947177,94968904,95055887,95435757,95979537,96788464,96896584,97032685,97066881,97402921,97496162,97576158,97634668,97919807,98631287,98667894,99057311,99706870,99718727,99786184,99809018,...,180887531184584011924625400658819582936619007992567251554038620964458900710362842583492437821347648857997120405979703131749191380893863756694455841268286526115884460982869894002568718789494098860453567189155331882877005205097661362044357542206262307255058112754551091978657090102794743949652878089527873486431544042699745132386353858046597000009070349326650395406157406575109279851379300517713348368956233889482348587074658983463921107658846995175945782646706067212560927694679022288317348042381697548420733180349497423135993389944874762886783578160487032398817552722377172849513359037923676775123470304174096360605675735902997098830651365670570122366715956029989934438058261475954881926656783309566973484117296751687101136313168653365346557388906933972181934463368380221515217693931453156158368995612764467348722370799016640587226182409860019639113451833274812114690280634889350890185618867433514325062229994145534124179495529036170842223058684943011580326614335927791933058565725769123405425663460863883323051557042645969416165537552570611085313490512927144405240673928105204071783428011822699555886796623092063539721153309878758612905104067761608016397590649655473897017918597180697410099203839508809311880652656729945187043347042234474757946606034688555419925340661575042765639058263032256542790776691488281883536840696297346486465600414508972454110961882286251789574145158619594770962573658685866584038854093610107916771639969890684999242479609470849359544441639223397865156572721517476307649432060971105623057642181443468186013014320646303884329033083948711343621206957070312153711992914270227083148829517713385701341307666504280859454451949132581105022743382870445174315181067724452591932723718640142411535396815819220458639047007441720284952273197639095401455831520361187155358619138656837568732920336841905779159039524821951021348061632274066733941718209989427151624652499654864378313884020211532115640432795582882905534415132459514581495947233847168123079536601950904539123889313839939190003718349183538542614958927355998265808730215982629141591594177356879569947460060847796746652874945647259929180556245210913016275576188399050171639703968152580285452407469865196608775856870315070217427609783519275912765956688637395354367875963321221039855496769520702455018445307005411917303623180090427199176640182185125445695485583491067911341120295385101204893504042351612359521171628915847850163457019879125482434943613065483276022866826694470138095209589029448989545246107658428549575822911248446771631889602665349469937150806545669593090070051545757608577121501065768272145001852490597042830911323019611288264886276285471506742537816223856531509585714296034993113124530799476661263224694933787116813544061007573088538583708929772939629088435234263307162631712936510064186429637178786048851807561010351376182601552315112363008706387524892509627625480875945247715837375550588842893941106965308421404322677389586093624352419593772043525908235939426931669375704664404691175988785153334135926128490522905015790105922533689429947406409756261353367774422614043514611398919899000394312735374136614039431968486245112898294987526170289771519294383835321076167589135874061287517650320576487260393368785581414612965616823588664539805135015642323801369921184551017199458263367594012541198498223914610822963698898681681365166923922843218313383523440087592791343872748026502462173627273286409064092602470378441085189133557351831481813828151808321807675261168748932067470527731553286681002168898579566340270134256883326785379628147966067984032246095390017796553013072784382928969538093582126012998263344558997775371794235172089362509087019379697594987782593222118040891053992106393931641985193215442524723255379526902179108441133500493551763431623539508307372298106670618452662394063530266002154240064398809233568260476876471090748932018928686724191842283807806920865106467027647742650884134132511494598681792487216908403217941738483246939385046393694418006379383197210701357848465858053684381675911128388498798867700509368306974573865446524445955602094830699360728297524726921537986254524599710948129214061267309938168200901140738632043558259969487998634407495855306206656056265209721581775849588251386478518259362068895976175188845975486250014775960765984103675354148654887371164112195005115680471783291429942200373710440322854106581324431150000680837097938783168679447844931268216387695251825036789067052275956724809226735357035915140736769553786501704887656864019450104073361440611900215783520328795966041350110566001384977304538113554557183963250580043579546375757518217683758654199518609548518139347532347946044501495530724106920540961553271496722878666275129678135455845613743012646886611914203125053913081250139432718269824160142142639147847472922984439327657846144132541417899696861361390843184443763984594965322168208459651923727409564802997581732849310064623999495373318979900098392760861351558473372682762049668046081}
30913 4596710241055205595773939011440772013262652174640506297993661670802501432257447663709501: {61822,1575543,2686647,2811263,3796887,4016090,4757522,4819308,5460627,5711135,6568707,6796460,6853362,7627607,7995071,8155752,9175221,9335127,9887763,9943682,10152611,10331735,10527011,11421530,11446463,11638367,12110056,12177455,12398082,12440207,12647703,12908258,13490627,13623813,13649402,13705836,14205260,14463491,14503730,14596307,14612946,16218825,16352090,16447847,17046312,17300080,17404476,18151383,18851183,19177101,19198991,19308125,19410311,19462590,19545935,19622508,19695698,20662130,20694311,20760096,20919311,21052658,21443223,21991107,22002467,22208963,22553543,22891442,23098988,23169750,23221535,23275226,23355108,23455122,23655047,24034487,24141122,24455327,24714400,24755687,24794556,25205267,26255903,26796028,26979506,27427130,27736847,27803700,27807935,27834818,27865842,28455167,29093943,29647811,29657280,29884730,31056887,31634432,31727090,31902002,32079551,32359863,32385335,32702060,32857384,32912556,33251543,33364440,33369522,35114231,35588736,35861676,36702327,36964557,37154236,37534995,37699922,38072508,38280040,38327187,38458727,38500931,38842583,38862402,39198911,39242472,39388844,40031618,40037328,40490643,41108387,41165906,41385938,41387231,41493263,41513135,41751112,42110967,42218591,42423935,42774851,43009082,43065045,43253087,43555442,43729347,44005425,44147781,44577724,45041994,45104162,45827930,45936048,46939120,46970001,47036627,47307026,47498007,48065858,48154898,48279116,49175231,49815762,50134504,50604935,50652047,50806223,50908722,51256083,51678054,51741743,51792087,51894746,52508402,52676428,52806510,53077480,53325455,53398803,53588584,53611631,54351527,54788903,54993516,55001330,55122585,55137551,55470098,55575482,56072343,56271842,56326944,56401317,56413763,56437682,57689471,57852455,58207287,58797424,59276090,59372716,59712165,59877431,60287157,60725922,61106930,62109746,62222060,63014476,63367812,63692976,63799868,63990546,65622125,65733602,66001596,66086807,66147102,66239745,66678242,66879455,67029263,67144425,67208867,67273511,68987308,69105023,69422946,69720767,69887703,70231943,70250330,70655728,70852264,71131308,71292026,71620720,71654598,71770425,72000183,72678791,72703804,73328316,73339898,73843432,74109207,74227811,74650751,74666472,75252040,75436547,75496463,75688707,76375511,76555120,76569107,76912466,77043863,77167967,77791683,78392738,78454691,78468621,78630383,78746550,78767930,79366647,79487694,79708797,79770664,80058044,80060471,80255346,80573310,80591090,80625260,80812007,81205096,81282311,82126562,82142735,82413530,83073861,83097791,83198903,83669906,83996320,83999781,84179927,84300396,84658545,84689906,84784511,85944864,85979762,86012588,86124510,86758636,87312911,88254723,88743443,88932623,89149672,89741997,89858723,90020680,90302448,91072535,91307567,91311011,91355733,91866144,91942847,92415747,92719682,93415025,93625091,93996105,94495860,94521516,94768346,94891425,95263727,95756090,96375311,96687972,96709308,96750312,97171586,97406351,97491506,97496771,97597587,98355985,98571282,98896236,...,241183374912778682566167200878426110582158677323423002072051494619278534280483790111323250428463531810662827207972937508998921841191818342259274455024382034821179281310493192003424958385992131813938089585540442510502673606796881816059143389608349743006744150339401455971542786803726325266203837452703831315242058723599660176515138477395462666678760465768867193874876542100145706468505734023617797825274978519309798116099545311285228143545129326901261043528941422950081236926238696384423130723175596731227644240465996564181324519926499683849044770880649376531756736963169563799351145383898235700164627072232128480807567647870662798440868487560760163155621274706653245917411015301273175902209044412755964645489729002249468181750891537820462076518542578629575912617824506962020290258575270874877825327483685956464963161065355520782968243213146692852151269111033082819587040846519134520247491823244685766749639992194045498905994038714894456297411579924015440435485781237055910744754301025497873900884614485177764068742723527959221554050070094148113751320683902859206987565237473605429044570682430266074515728830789418052961537746505011483873472090348810688530120866207298529357224796240929880132271786011745749174203542306593582724462722979299677262141379584740559900454215433390354185411017376342057054368921984375844715787595063128648620800552678629938814615843048335719432193544826126361283431544914488778718472124813477222362186626520913332323306145961132479392588852297863820208763628689968410199242747961474164076856241924624248017352427528405179105377445264948458161609276093749538282657219026969444198439356951180935121743555339041145939269265510108140030324510493926899086908090299270122576964958186856548713862421092293944852062676588960379936364263518793868607775360481582873811492184875783424977227115789207705545386033095934695130748843032088978588957613319236202166203332873152504418512026948709487520577060777177207379220176612686108661262978462890830772715469267872718831852418453252253338291132244718056819945236474664354411640287976838855455458903142506093263280081130395662203833260863013238907408326947884021700768251198733562186271957536773713936543293153595478367809160420093623236813044692367883687942251516527139157167951094961386473995692694269940024593742673882556404830906787236265568853576246833927593980777988090548454827060513468273191338723135483146028228838554463800217942693172167309913258150753977701363822435592626850793612785372598652726994810211238066101097214997929028842519470220465959916201075394226124120093402061010144769495334754357696193335803320796057107881764026148384353181701713962008990050421631808708679447619061379990817499374399302215017632926578382822418058748010097451384778278573030586172117913645684409550175617248680085581906182905048065135743414680468501576802069753483150678275183366523346170167307834593663621116500734118457191921475953744561872430236519448124832469892791696058034544314585902575559167606219206254901318380204445514568171320697206687720141230044919239929875213008348471157032563485391352815198559865333859083647165515485385909291314993483864393316701560386362025725845113761434890118847832081716690200427435316347191158380775219483954155764784886053073513354189765068493228246068022932611017823458683388264664298552814430618265198242241820222565230457624417844697920116790388458496997368669949564836364381878752123469960504588113585511409802441975751770869077762410233681558331909423294036975404382241336225198106088453693512342511102380506170863954757312042994793853357062070684097045843905292717458109501350664351126078663700495725646896119150012116025839596793317043457629490721188071989475191908855980257620590032964340506035869572144588178000658069017908831386011076496397475560824603549858751373688002872320085865078978091013969168628120998576025238248965589123045077075894486808622703530323534512178843348659464909056649622544537623922317977662585846728524925890675172510929614268477131287810738245842234548171184665065156934012491075966098487262032594607469459774265814304396699635895383981672699466281264172285415023079917557601201520984842724744346625983998179209994473741608874741686946295442367799451001848638024345816091861301566918461300648333353034614354645471567138864873183161552149593340154240629044388573256267164947253763805475441765908200000907782797251710891572597126575024288516927002433382385422736367942299745635647142714553520982359405048668939850209152025933472097815254149200287711360438394621388466814088001846636406050818072742911951000773391439395167676690956911678205599358146064690852463376463928059335327374298809227387948737695328963838221700172904180607794151657350195848815885604166738550775000185910291026432213522856852197129963897312585770210461525510055223866262481815187790912591685312793287096224277946202564969879419737330108977132413419498665993831091973200131190347815135411297830243682732890728108}
30914 4610774347782734107081171194433355890446602829030021747900099735295698428001982979827246: {92733,1173934,1327453,1882033,1914622,2100724,2251393,2531422,2654734,2989249,3271054,3582196,3640654,3763822,4379422,4502494,4645213,4828849,5062516,5117614,6024135,6346654,6425744,6478333,6715054,7136283,7228962,7280836,8064622,8304253,8486449,8495575,8554894,8668573,8758276,9137816,9167374,10194690,10280043,10304449,10596299,10874336,12115249,12223774,12233628,12446836,12837553,13183684,13687294,14783422,14817949,14915523,15137570,15391822,15894493,16121374,16485934,16530776,16610749,16863604,17132295,17214622,17756575,18165084,18218113,18274448,18396349,18597123,19362387,19464253,19483928,19997233,20352193,20474103,20558754,20884093,21307890,21574654,21625100,21755595,21919419,21937054,21945949,22122673,22728416,22782094,23205968,23385214,24201844,24413533,24528135,24764893,25553134,25569468,25673422,25950120,26106714,26163344,26995534,27680128,28195774,28590964,28750211,28873735,28958749,29193885,29321476,29433762,29543547,29827249,30867073,30893000,30950254,30993195,31140144,31273496,31386013,31578987,31667422,31731613,31786894,33059408,33495035,34314433,34337163,34648482,34649422,34754625,34912839,35032662,35182683,35958334,36211683,36314974,36532223,36539773,37071600,37154456,37191834,37502734,38583133,38791924,38807422,38925934,39261949,39518254,39543040,39873454,40194042,40469259,40877575,41071730,41102611,41140695,41705550,41752227,41798763,42355822,42827854,43146484,43310653,43867691,43883408,44485920,44492696,44827095,44831134,44985373,45301822,45986749,46442795,46594894,46890011,47451648,47590635,47649949,47815568,47850050,47853003,48644413,48706654,48936436,49053090,49236055,49286076,49368834,49409422,49471153,49526494,50046660,50054283,50296093,50763344,50790193,50954749,51102916,51280654,51447746,51776449,51816536,51940573,52188890,52323296,53031214,53383104,53792514,53987524,55708414,55722155,55731354,56147956,56549883,57101854,57108762,57420060,57477949,57639553,58293603,58305796,58673900,58863708,59083266,59303422,60047427,60055992,60348895,61248064,61614622,61656253,61730014,61748859,61823762,61995731,62076094,62078907,62135233,62626668,62652574,62668130,63250333,63330676,63343822,64513623,64520413,64613003,65184334,65333163,65469949,65627953,65845535,66101533,66103054,66346850,66421016,66866586,66889393,66906094,66985730,67562991,67656243,67832449,67878296,68341444,68509822,68624254,68741895,68904072,69056116,69398449,69653422,69799331,70178749,70408680,70960539,71054459,71112733,71198404,71578753,72098787,72232347,72418674,72960814,73324688,73496780,74053249,74098174,74215895,74723643,74763124,75102592,75201756,75801214,76028014,76363083,76509313,76967773,77047822,77517081,77609716,77777575,77842119,78005963,78491293,78762603,78768095,78795133,79014642,79209765,79553473,79616220,79749835,80158849,80382876,80913949,80967896,81564622,81667249,82490274,82501995,82568833,83018653,83205147,83363223,83876507,84262414,84407763,84490416,84656523,84823294,84923968,85320728,85406749,85908427,85943854,86234135,86741953,87286414,87621694,87729698,87776413,87917291,88002128,88196136,88218673,88319660,88565330,88692383,88849822,88914135,89059074,89101249,89161331,89518894,89525900,90879755,90966574,91088883,91660395,91878973,92177771,92304290,92563928,92633614,92895793,93164619,93183604,93333090,93853822,94065050,94297054,94342273,94521714,94841744,94918849,95051718,95539464,95693900,95699802,95985819,96000244,96355249,97070749,97613134,97771088,98132551,98600403,98812276,99002394,99064573,99120359,99206449,99220653,99348253,99555296,99713330,...,361775062369168023849250801317639165873238015985134503108077241928917801420725685166984875642695297715994240811959406263498382761787727513388911682536573052231768921965739788005137437578988197720907134378310663765754010410195322724088715084412524614510116225509102183957314180205589487899305756179055746972863088085399490264772707716093194000018140698653300790812314813150218559702758601035426696737912467778964697174149317966927842215317693990351891565293412134425121855389358044576634696084763395096841466360698994846271986779889749525773567156320974064797635105444754345699026718075847353550246940608348192721211351471805994197661302731341140244733431912059979868876116522951909763853313566619133946968234593503374202272626337306730693114777813867944363868926736760443030435387862906312316737991225528934697444741598033281174452364819720039278226903666549624229380561269778701780371237734867028650124459988291068248358991058072341684446117369886023160653228671855583866117131451538246810851326921727766646103114085291938832331075105141222170626981025854288810481347856210408143566856023645399111773593246184127079442306619757517225810208135523216032795181299310947794035837194361394820198407679017618623761305313459890374086694084468949515893212069377110839850681323150085531278116526064513085581553382976563767073681392594692972931200829017944908221923764572503579148290317239189541925147317371733168077708187220215833543279939781369998484959218941698719088883278446795730313145443034952615298864121942211246115284362886936372026028641292607768658066167897422687242413914140624307423985828540454166297659035426771402682615333008561718908903898265162210045486765740890348630362135448905183865447437280284823070793631638440917278094014883440569904546395278190802911663040722374310717238277313675137465840673683811558318079049643902042696123264548133467883436419978854303249304999309728756627768040423064231280865591165765811068830264919029162991894467694336246159073203901809078247778627679878380007436698367077085229917854711996531617460431965258283183188354713759139894920121695593493305749891294519858361112490421826032551152376798100343279407936305160570904814939730393217551713740630140434855219567038551825531913377274790708735751926642442079710993539041404910036890614010823834607246360180854398353280364370250891390971166982135822682240590770202409787008084703224719042343257831695700326914039758250964869887226130966552045733653388940276190419178058897979090492215316857099151645822496893543263779205330698939874301613091339186180140103091515217154243002131536544290003704981194085661822646039222576529772552570943013485075632447713063019171428592069986226249061598953322526449389867574233627088122015146177077167417859545879258176870468526614325263425873020128372859274357572097703615122020702752365203104630224726017412775049785019255250961751890495431674751101177685787882213930616842808645354779172187248704839187544087051816471878853863338751409328809382351977570306668271852256981045810031580211845067378859894812819512522706735548845228087029222797839798000788625470748273228078863936972490225796589975052340579543038588767670642152335178271748122575035300641152974520786737571162829225931233647177329079610270031284647602739842369102034398916526735188025082396996447829221645927397797363362730333847845686436626767046880175185582687745496053004924347254546572818128185204940756882170378267114703662963627656303616643615350522337497864134941055463106573362004337797159132680540268513766653570759256295932135968064492190780035593106026145568765857939076187164252025996526689117995550743588470344178725018174038759395189975565186444236081782107984212787863283970386430885049446510759053804358216882267000987103526863247079016614744596213341236905324788127060532004308480128797618467136520953752942181497864037857373448383684567615613841730212934055295485301768268265022989197363584974433816806435883476966493878770092787388836012758766394421402715696931716107368763351822256776997597735401018736613949147730893048891911204189661398721456595049453843075972509049199421896258428122534619876336401802281477264087116519938975997268814991710612413312112530419443163551699176502772957036518724137791952350377691950972500029551921531968207350708297309774742328224390010231360943566582859884400747420880645708213162648862300001361674195877566337358895689862536432775390503650073578134104551913449618453470714071830281473539107573003409775313728038900208146722881223800431567040657591932082700221132002769954609076227109114367926501160087159092751515036435367517308399037219097036278695064695892089002991061448213841081923106542993445757332550259356270911691227486025293773223828406250107826162500278865436539648320284285278295694945845968878655315692288265082835799393722722781686368887527969189930644336416919303847454819129605995163465698620129247998990746637959800196785521722703116946745365524099336092162}
30915 4624881237765742393485153461996571593352866322155585152170556756087147094688516620378144: {123644,1760901,2625905,2871933,3151086,3738053,3797133,3982101,4477745,4906581,5373294,5460981,5622526,5645733,6328145,6569133,6753741,7593774,7676421,7812893,7995589,8032180,8924609,9101045,9515044,9519981,9638616,10072581,10843443,10921254,10947845,11422270,12096933,12441013,12832341,13137414,13592920,13706724,13751061,14464429,15218417,15255214,15292035,15558545,15990142,16311504,16329701,16479605,17048437,17250181,17986133,18335661,18350442,18670254,19775526,19887364,20305222,20530941,20663470,21054022,21079505,21693877,22175133,22706355,22843060,22892926,23087733,23276734,24182061,24220112,24354910,24456913,24649949,24728901,24796164,24880414,25206901,25295406,25816516,25821933,26981254,27031375,27247626,27298804,27364309,27411672,28410520,28926982,29007460,29092493,29192614,29225892,29256721,29649733,30252305,30838131,30931517,31961835,32361981,32437650,32510149,32704180,32895694,32905581,34092624,34173141,34222133,34600160,34808952,35077821,35738705,36302766,36651845,37592741,37702366,38329701,38354202,38397982,38510133,38616250,38820622,38925180,38931109,39091870,39160071,39245016,39245317,39391396,40493301,41111053,41324260,41388622,41520192,41838622,42033557,42105316,42221329,42293661,42886446,43982214,44004934,44150643,44343893,44417926,45107086,45339469,45782884,46197976,46256317,46339500,46425381,46443070,46550452,46614017,46710216,46910244,47310094,47501133,47680341,48068974,48282244,48489905,48910654,49428800,49511374,49589112,50410534,51972723,51974133,52511806,52548993,53592056,53933105,53937501,53959012,54472461,54854260,55473694,55588741,55607400,55615870,55669636,55731684,55787751,56254101,56910334,57002821,58118389,58187886,58211133,58388901,58814381,59277381,59295622,59314560,59393509,59769460,59810181,60291063,61170545,61607595,62113774,62558325,63053741,63268864,63454180,63533733,63804004,63878645,64006909,64159102,64241781,64528013,64719726,64770670,65404120,65714768,65825112,66503086,66542069,66728880,66739044,67246701,67484405,67952733,69553969,69892341,70184945,70228462,70846909,71177472,71723352,71775075,72882245,73059981,73342375,73404654,73579635,73929114,74053251,74114133,74142821,74289741,74308472,74655637,75069990,75399844,76145016,76560080,76600469,76654374,76917454,76920981,77001862,77171619,77685166,77724804,78283335,78397822,78484944,78609773,78777688,79163345,79428661,79546821,80063236,80074656,80688771,80981286,80993437,81229237,82216774,82331812,82771876,82774462,82986526,83026270,83502224,83562621,83597031,84221934,84437182,84847870,85426805,85433357,85549702,85652781,85663143,86018164,86130090,86320145,86506174,86542481,87110884,87458694,88010850,88295562,88624899,88955133,88998005,89155448,89667533,90083988,90208324,91655860,91870975,91872096,92421933,92595021,92735643,93114141,93453905,93631237,93878240,93940002,93978861,94002195,94073254,94614052,94996014,95015733,96060913,96131716,96309796,96320981,96558232,97012145,97776501,98283733,98350462,99154581,99520275,99631524,99705629,...,542662593553752035773876201976458748809857023977701754662115862893376702131088527750477313464042946573991361217939109395247574142681591270083367523804859578347653382948609682007706156368482296581360701567465995648631015615292984086133072626618786921765174338263653275935971270308384231848958634268583620459294632128099235397159061574139791000027211047979951186218472219725327839554137901553140045106868701668447045761223976950391763322976540985527837347940118201637682783084037066864952044127145092645262199541048492269407980169834624288660350734481461097196452658167131518548540077113771030325370410912522289081817027207708991296491954097011710367100147868089969803314174784427864645779970349928700920452351890255061303408939505960096039672166720801916545803390105140664545653081794359468475106986838293402046167112397049921761678547229580058917340355499824436344070841904668052670556856602300542975186689982436602372538486587108512526669176054829034740979843007783375799175697177307370216276990382591649969154671127937908248496612657711833255940471538781433215722021784315612215350284035468098667660389869276190619163459929636275838715312203284824049192771948966421691053755791542092230297611518526427935641957970189835561130041126703424273839818104065666259776021984725128296917174789096769628372330074464845650610522088892039459396801243526917362332885646858755368722435475858784312887720976057599752116562280830323750314919909672054997727438828412548078633324917670193595469718164552428922948296182913316869172926544330404558039042961938911652987099251846134030863620871210936461135978742810681249446488553140157104023922999512842578363355847397743315068230148611335522945543203173357775798171155920427234606190447457661375917141022325160854856819592917286204367494561083561466075857415970512706198761010525717337477118574465853064044184896822200201825154629968281454873957498964593134941652060634596346921298386748648716603245397378543744487841701541504369238609805852713617371667941519817570011155047550615627844876782067994797426190647947887424774782532070638709842380182543390239958624836941779787541668735632739048826728565197150514919111904457740856357222409595589826327570610945210652282829350557827738297870065912186063103627889963663119566490308562107365055335921016235751910869540271281597529920546555376337086456750473203734023360886155303614680512127054837078563514886747543550490371059637376447304830839196449828068600480083410414285628767088346968635738322975285648727468733745340314895668807996048409811452419637008779270210154637272825731364503197304816435005557471791128492733969058833864794658828856414520227613448671569594528757142888104979339373592398429983789674084801361350440632183022719265615751126789318818887265305702789921487895138809530192559288911536358146555422683031054128547804656945337089026119162574677528882876442627835743147512126651766528681823320895925264212968032168758280873057258781316130577724707818280795008127113993214073527966355460002407778385471568715047370317767601068289842219229268784060103323267842130543834196759697001182938206122409842118295905458735338694884962578510869314557883151505963228502767407622183862552950961729461781180106356744243838896850470765993619415405046926971404109763553653051598374790102782037623595494671743832468891096696045044095500771768529654940150570320262778374031618244079507386520881819859227192277807411135323255567400672055494445441484455424965423025783506246796202411583194659860043006506695738699020810402770649980356138884443898203952096738286170053389659039218353148786908614280746378038994790033676993326115382705516268087527261058139092784963347779666354122673161976319181794925955579646327574169766138580706537325323400501480655290294870618524922116894320011855357987182190590798006462720193196427700704781430629413272246796056786060172575526851423420762595319401082943227952652402397534483796045377461650725209653825215449740818155139181083254019138149591632104073545397574161053145027733385165496396603101528104920923721596339573337866806284492098082184892574180764613958763573799132844387642183801929814504602703422215896130674779908463995903222487565918619968168795629164745327548764754159435554778086206687928525566537926458750044327882297952311026062445964662113492336585015347041415349874289826601121131320968562319743973293450002042511293816349506038343534793804649163085755475110367201156827870174427680206071107745422210308661359505114662970592058350312220084321835700647350560986387898124050331698004154931913614340663671551889751740130738639127272554653051275962598555828645554418042597043838133504486592172320761622884659814490168635998825389034406367536841229037940659835742609375161739243750418298154809472480426427917443542418768953317982973538432397624253699090584084172529553331291953784895966504625378955771182228694408992745198547930193871998486119956939700295178282584054675420118048286149004138243}
30916 4639031040403003737920207481376422054846784813138619558194201882422187374820482330823604: {154555,185466,710539,1450843,2347868,2654906,3296563,3480739,3764066,3829244,4201448,4502786,4726629,5062844,5309468,5978498,6542108,6966403,7164392,7281308,7331803,7527644,8059941,8433789,8758844,9004988,9290426,9657698,10040225,10125032,10235228,10969963,11390661,11893805,12048270,12693308,12778243,12851488,12956666,13430108,13679683,14219683,14272566,14457924,14561672,16129244,16381881,16608506,16972898,16991150,17109788,17133405,17267443,17337146,17516552,17981539,18275632,18334748,19584043,19706121,20389380,20560086,20608898,21192598,21711643,21748672,22882821,23985213,24004843,24230498,24447548,24467256,24859205,24883603,24893672,25675106,25760563,26367368,26635723,27374588,27525663,28005381,28553825,29566844,29635898,29663289,29831046,30275140,30457833,30783644,30995205,31330483,31581033,31788986,32242748,32270645,32711443,32971868,33061552,33221498,33727208,34123505,34264590,34339389,34429244,34602739,34915101,35459539,35513150,36259325,36330168,36436226,36532365,36548896,36792698,37194246,37320621,37943109,38019139,38724774,38928506,38967856,39994466,40423229,40471881,40704386,40871439,40880225,40948206,41117508,41768186,42249139,42615780,43149308,43250200,43390473,43511190,43760923,43788921,43838838,43874108,43891898,43928539,44245346,45456832,45564188,45600739,46411936,46434139,46770428,46893049,47265739,47431843,48403688,48575813,48656475,48827066,49056270,49239245,49343541,49529786,49914763,51106268,51138936,51346844,51655325,51900240,52053523,52213428,52326688,52631645,53991068,54454149,54832003,55320163,55360256,56391548,56553549,57181928,57228605,57500422,57531303,57596973,57747470,57917498,57924375,58188065,58230933,58387770,58637805,58642952,58867524,59087094,59654498,60352805,60486883,61734146,61786000,61900508,61986390,62082933,62280288,62546992,62757933,62772026,63157974,63334844,63463226,63519739,63573788,64329669,64947283,65019913,65105539,65737843,65973321,66007401,66053563,66118816,66626889,66990070,67313563,67448765,67660629,68412283,68567825,68628866,68674326,68882083,68930477,69038539,69296964,69298844,69509250,69587045,69664605,69825678,70065324,70365366,70443403,70965141,71916668,72103461,72423366,72629948,73064446,73079546,73365981,73852963,74143200,74267061,74308912,74383668,74469139,74711825,75005468,75615801,75851323,77166266,77532739,77583848,77614844,77851868,78011017,78523898,78767709,79036508,79086080,79205443,79317725,79746908,79755005,80388084,80938518,81171043,81755150,82143460,82205222,82281390,82824739,82974643,83210541,83411100,83423805,83504454,83597526,83723083,84320539,84488453,84711644,85365501,85655708,85913993,85957603,86292968,86621306,87142723,87281829,87735382,87766816,87881083,88943433,88971840,88985392,89654190,89662268,89970746,90603644,91108483,91973498,92183749,92885590,93170661,93189788,93289003,93723163,93780022,94249805,94903296,95165683,95181270,95299898,95631136,95700100,95706006,96238653,97079589,97156005,97288826,97413308,97872872,98106180,98138909,98472110,98572152,98737668,98740483,98818844,98942306,99052988,99126781,99754629,...,723550124738336047698501602635278331746476031970269006216154483857835602841451370333969751285390595431988481623918812526996765523575455026777823365073146104463537843931479576010274875157976395441814268756621327531508020820390645448177430168825049229020232451018204367914628360411178975798611512358111493945726176170798980529545415432186388000036281397306601581624629626300437119405517202070853393475824935557929394348298635933855684430635387980703783130586824268850243710778716089153269392169526790193682932721397989692543973559779499051547134312641948129595270210889508691398053436151694707100493881216696385442422702943611988395322605462682280489466863824119959737752233045903819527706627133238267893936469187006748404545252674613461386229555627735888727737853473520886060870775725812624633475982451057869394889483196066562348904729639440078556453807333099248458761122539557403560742475469734057300248919976582136496717982116144683368892234739772046321306457343711167732234262903076493621702653843455533292206228170583877664662150210282444341253962051708577620962695712420816287133712047290798223547186492368254158884613239515034451620416271046432065590362598621895588071674388722789640396815358035237247522610626919780748173388168937899031786424138754221679701362646300171062556233052129026171163106765953127534147362785189385945862401658035889816443847529145007158296580634478379083850294634743466336155416374440431667086559879562739996969918437883397438177766556893591460626290886069905230597728243884422492230568725773872744052057282585215537316132335794845374484827828281248614847971657080908332595318070853542805365230666017123437817807796530324420090973531481780697260724270897810367730894874560569646141587263276881834556188029766881139809092790556381605823326081444748621434476554627350274931681347367623116636158099287804085392246529096266935766872839957708606498609998619457513255536080846128462561731182331531622137660529838058325983788935388672492318146407803618156495557255359756760014873396734154170459835709423993063234920863930516566366376709427518279789840243391186986611499782589039716722224980843652065102304753596200686558815872610321141809629879460786435103427481260280869710439134077103651063826754549581417471503853284884159421987078082809820073781228021647669214492720361708796706560728740501782781942333964271645364481181540404819574016169406449438084686515663391400653828079516501929739774452261933104091467306777880552380838356117795958180984430633714198303291644993787086527558410661397879748603226182678372360280206183030434308486004263073088580007409962388171323645292078445153059545105141886026970151264895426126038342857184139972452498123197906645052898779735148467254176244030292354154334835719091758516353740937053228650526851746040256745718548715144195407230244041405504730406209260449452034825550099570038510501923503780990863349502202355371575764427861233685617290709558344374497409678375088174103632943757707726677502818657618764703955140613336543704513962091620063160423690134757719789625639025045413471097690456174058445595679596001577250941496546456157727873944980451593179950104681159086077177535341284304670356543496245150070601282305949041573475142325658451862467294354658159220540062569295205479684738204068797833053470376050164793992895658443291854795594726725460667695691372873253534093760350371165375490992106009848694509093145636256370409881513764340756534229407325927255312607233287230701044674995728269882110926213146724008675594318265361080537027533307141518512591864271936128984381560071186212052291137531715878152374328504051993053378235991101487176940688357450036348077518790379951130372888472163564215968425575726567940772861770098893021518107608716433764534001974207053726494158033229489192426682473810649576254121064008616960257595236934273041907505884362995728075714746896767369135231227683460425868110590970603536536530045978394727169948867633612871766953932987757540185574777672025517532788842805431393863432214737526703644513553995195470802037473227898295461786097783822408379322797442913190098907686151945018098398843792516856245069239752672803604562954528174233039877951994537629983421224826624225060838886327103398353005545914073037448275583904700755383901945000059103843063936414701416594619549484656448780020462721887133165719768801494841761291416426325297724600002723348391755132674717791379725072865550781007300147156268209103826899236906941428143660562947078215146006819550627456077800416293445762447600863134081315183864165400442264005539909218152454218228735853002320174318185503030072870735034616798074438194072557390129391784178005982122896427682163846213085986891514665100518712541823382454972050587546447656812500215652325000557730873079296640568570556591389891691937757310631384576530165671598787445445563372737775055938379861288672833838607694909638259211990326931397240258495997981493275919600393571043445406233893490731048198672184324}
30917 4653223885482407543546207634665029045720616262583781756908159197263030671186970705051469: {247288,278199,2934835,3521802,3676267,3982359,4417699,4786555,5251810,5646099,5743866,6268843,6302172,6328555,6636835,6754179,7476106,7594266,7964202,8177635,8859403,8955490,8967747,9101635,9233419,9409555,9813162,9974563,10746588,10921962,10948555,11245052,11256235,11291466,12563683,12656290,12741463,12794035,13138266,13507482,13935639,14486547,15187548,15219403,15326983,15352842,15625786,15866635,15954103,15991178,16064360,16267963,16330759,16787635,17008819,17849218,17987299,18072405,18202090,19030088,19039962,19277232,19434999,20145162,20161555,21256339,21387235,21408849,21508723,21686886,21781963,21842508,21895690,22728343,22844540,22918435,23071447,24193866,24651547,24882026,24912759,25459347,25486725,25664682,25952419,26005719,26274828,27185840,27413448,27502122,27549943,28928858,29094379,29511307,30169843,30436834,30510428,30511639,30559435,30584070,30840129,30913347,30933523,31117090,31788897,31980043,31980284,32623008,32659402,32873203,32959210,33103123,34096874,34218235,34500362,34570519,34899799,35972266,36345747,36671322,36700884,36958555,37210603,37340508,37595179,37843925,38479555,38512659,39551052,39774728,40303435,40444339,40610444,41061882,41214835,41326940,42036283,42108044,42159010,42353227,43036555,43387754,43482787,44350266,44453847,44746569,44932423,45412710,45686120,45785852,46175466,46553468,46782763,47683479,48364122,48440224,48709820,48913826,49299898,49457802,49592328,49760828,49832247,50034187,50410723,50413802,50590812,50794147,51312583,51396885,51633032,51643866,52098019,52406419,52748419,53269725,53936635,53962508,54062750,54495252,54597608,54654339,54728618,54823344,54842635,55189047,55791369,56821040,56955235,57853964,58014920,58087161,58184986,58385228,58392759,58451784,58463035,58513442,59299466,59407483,59991699,60501463,60504610,61056579,61422309,61676262,61863034,62652279,63452203,63882835,63923670,64183555,64723962,64875300,65020298,65203699,65266785,65408360,65758257,65791388,65811162,65837847,66368019,66438907,67217623,67488835,67885867,68185248,68346282,68444266,69200320,69617904,70155642,70489435,70583419,71477410,71647027,72605532,73240599,73303690,73584405,74294679,74546323,75185482,75404732,75506347,76260379,76659402,76708404,76765147,76795964,77020266,77232500,77275363,77375635,77641244,77850360,77862218,78183740,78320142,78490032,78490634,78640627,78782792,79168555,79256119,79467235,79999819,80935243,80986602,82222106,82648520,82777244,83040384,83677244,84067114,84210632,84442658,84587322,84632323,85638763,85772892,86250633,86621205,86623555,86644723,86876247,87581655,87964428,88009868,88301286,88329403,88630641,88650199,88687786,88835852,89430103,89481747,89895835,90214172,90368107,90527827,90654883,90678938,90787435,91565768,92193379,92395952,92512634,92601219,92679000,92688919,92850762,92886140,92902459,92979585,93100904,93228034,93420432,93756835,93820488,94041559,94158039,94478167,94620188,94736961,95002266,95194839,95360682,95513443,96137948,96564488,96915307,96979810,96998647,97018555,97314835,97821308,98258923,98795635,98857600,99022748,99178224,99586099,99683635,...,1085325187107504071547752403952917497619714047955403509324231725786753404262177055500954626928085893147982722435878218790495148285363182540166735047609719156695306765897219364015412312736964593162721403134931991297262031230585968172266145253237573843530348676527306551871942540616768463697917268537167240918589264256198470794318123148279582000054422095959902372436944439450655679108275803106280090213737403336894091522447953900783526645953081971055674695880236403275365566168074133729904088254290185290524399082096984538815960339669248577320701468962922194392905316334263037097080154227542060650740821825044578163634054415417982592983908194023420734200295736179939606628349568855729291559940699857401840904703780510122606817879011920192079344333441603833091606780210281329091306163588718936950213973676586804092334224794099843523357094459160117834680710999648872688141683809336105341113713204601085950373379964873204745076973174217025053338352109658069481959686015566751598351394354614740432553980765183299938309342255875816496993225315423666511880943077562866431444043568631224430700568070936197335320779738552381238326919859272551677430624406569648098385543897932843382107511583084184460595223037052855871283915940379671122260082253406848547679636208131332519552043969450256593834349578193539256744660148929691301221044177784078918793602487053834724665771293717510737444870951717568625775441952115199504233124561660647500629839819344109995454877656825096157266649835340387190939436329104857845896592365826633738345853088660809116078085923877823305974198503692268061727241742421872922271957485621362498892977106280314208047845999025685156726711694795486630136460297222671045891086406346715551596342311840854469212380894915322751834282044650321709713639185834572408734989122167122932151714831941025412397522021051434674954237148931706128088369793644400403650309259936562909747914997929186269883304121269192693842596773497297433206490794757087488975683403083008738477219611705427234743335883039635140022310095101231255689753564135989594852381295895774849549565064141277419684760365086780479917249673883559575083337471265478097653457130394301029838223808915481712714444819191179652655141221890421304565658701115655476595740131824372126207255779927326239132980617124214730110671842032471503821739080542563195059841093110752674172913500946407468046721772310607229361024254109674157127029773495087100980742119274752894609661678392899656137200960166820828571257534176693937271476645950571297454937467490680629791337615992096819622904839274017558540420309274545651462729006394609632870011114943582256985467938117667729589317657712829040455226897343139189057514285776209958678747184796859967579348169602722700881264366045438531231502253578637637774530611405579842975790277619060385118577823072716293110845366062108257095609313890674178052238325149355057765752885255671486295024253303533057363646641791850528425936064337516561746114517562632261155449415636561590016254227986428147055932710920004815556770943137430094740635535202136579684438458537568120206646535684261087668393519394002365876412244819684236591810917470677389769925157021738629115766303011926457005534815244367725105901923458923562360212713488487677793700941531987238830810093853942808219527107306103196749580205564075247190989343487664937782193392090088191001543537059309880301140640525556748063236488159014773041763639718454384555614822270646511134801344110988890882968910849930846051567012493592404823166389319720086013013391477398041620805541299960712277768887796407904193476572340106779318078436706297573817228561492756077989580067353986652230765411032536175054522116278185569926695559332708245346323952638363589851911159292655148339532277161413074650646801002961310580589741237049844233788640023710715974364381181596012925440386392855401409562861258826544493592113572120345151053702846841525190638802165886455905304804795068967592090754923301450419307650430899481636310278362166508038276299183264208147090795148322106290055466770330992793206203056209841847443192679146675733612568984196164369785148361529227917527147598265688775284367603859629009205406844431792261349559816927991806444975131837239936337591258329490655097529508318871109556172413375857051133075852917500088655764595904622052124891929324226984673170030694082830699748579653202242262641937124639487946586900004085022587632699012076687069587609298326171510950220734402313655740348855360412142215490844420617322719010229325941184116700624440168643671401294701121972775796248100663396008309863827228681327343103779503480261477278254545109306102551925197111657291108836085194087676267008973184344641523245769319628980337271997650778068812735073682458075881319671485218750323478487500836596309618944960852855834887084837537906635965947076864795248507398181168168345059106662583907569791933009250757911542364457388817985490397095860387743996972239913879400590356565168109350840236096572298008276486}
30918 4667459903182122707242979662061934806450904401250181438767221667659119049166373336244916: {216377,309110,370932,1142597,1421078,1450937,1820681,2067017,2436281,2743781,2901686,3112517,3358181,4216997,4695736,5282703,5309812,5868857,6479177,6593126,6961478,7027781,7393157,7528132,7658488,7877715,7879877,8244581,8402896,8608997,8615799,9005572,9453258,10125688,10618936,10970681,11214159,11391399,11574281,11875781,11946303,11956996,12237317,12478181,12839237,13084216,13433235,13680581,13932806,14056315,14328784,14562616,14663606,14719743,14819897,14939657,15055288,16119882,16382943,16651327,16867578,16937199,17328137,17506757,17517688,18009976,18161081,18580852,18984435,19315396,19585337,19707399,19940681,20080450,20250064,20261223,20470456,20473157,21939926,22781322,22831877,23029263,23438679,23787610,23986767,24096540,24358181,24709637,24885257,24943781,25386616,25556486,25702976,25820681,25913332,26773827,26860216,27219977,27303135,27359366,27859781,28439366,28545132,28555675,28559943,28915848,29078537,29123344,29657657,29831237,30217743,31044281,31390217,32258488,32530329,32763762,32843535,33217012,33631781,33945796,33982300,34219576,34266810,34534886,34674292,34802887,35033104,35690117,35963078,36290799,36551264,36669496,37056581,37323039,37851557,38138035,38191781,38497023,38701577,39041081,39168086,39412242,39975355,40778760,40790597,41120172,41217796,41253183,42385196,43393287,43423286,43497344,43596197,43819781,44991497,45178903,45655251,45765642,45876105,46104137,46326281,46675635,47102777,47490437,47772907,47970426,48009686,48460996,48761417,48895096,48934512,48989103,49438815,49588037,49718410,49767206,49787344,49918181,50763055,51145311,51350212,51521126,51658675,51750543,52057097,52111781,52635055,52734736,53271446,53958399,54749176,55006983,55051326,55161317,56010762,57107650,57232315,57407779,57755237,58191835,58293317,58884281,59133688,59271796,59326578,59662092,60009797,60550280,60811577,60887275,60915666,61291781,61567288,61592823,61990410,62201035,62660966,63162066,63238515,63365177,63577972,63736037,64485496,64541290,65004581,65081631,65422886,65479097,65742437,65943736,66110777,66123104,66442996,66525399,66846281,67056137,67453135,67454416,67684937,67841957,67946597,68119065,68247010,68529180,68678778,68858488,68934943,69205478,69263199,69512357,69830202,70919078,71026300,71847497,72317455,72518650,72546183,72660336,72872452,72981535,73064730,73097792,73370739,73585396,73684303,73858181,73949847,74166437,74186703,74388492,74641242,75620703,75886218,75907781,76038278,76163081,76367177,77449548,77465799,77857012,77893817,77935712,79211081,79665797,79988932,80120047,80271077,80846458,80925497,80943762,81094125,81408772,81463291,81678917,81742878,81760450,81896412,82092927,82235016,82239235,82680677,83030537,83536372,83729081,83778917,84493927,84498278,85231560,85419017,86298616,86458181,86500400,86705081,86780946,87022380,87277479,87521846,87577842,87677676,87748216,87770163,87783796,87857078,87887417,87936581,88231397,88490692,88949199,89114117,89212037,89407781,90433337,90756915,90913664,91128376,91163717,91201478,91309577,92514393,92794551,92823872,92868278,93295781,93344057,93540856,93786098,94255915,94428271,94531478,94863686,95028677,95220581,95747657,95885505,95994955,96225977,96540625,96807376,97051555,97085943,97151626,97312950,97323077,97421863,97530447,97654132,97729675,97893797,98112540,98478490,98687082,98716743,99059572,99220997,99740681,99829526,...,1627987780661256107321628605929376246429571071933105263986347588680130106393265583251431940392128839721974083653817328185742722428044773810250102571414578735042960148845829046023118469105446889744082104702397986945893046845878952258399217879856360765295523014790959827807913810925152695546875902805750861377883896384297706191477184722419373000081633143939853558655416659175983518662413704659420135320606105005341137283671930851175289968929622956583512043820354604913048349252111200594856132381435277935786598623145476808223940509503872865981052203444383291589357974501394555645620231341313090976111232737566867245451081623126973889475862291035131101300443604269909409942524353283593937339911049786102761357055670765183910226818517880288119016500162405749637410170315421993636959245383078405425320960514880206138501337191149765285035641688740176752021066499473309032212525714004158011670569806901628925560069947309807117615459761325537580007528164487104222939529023350127397527091531922110648830971147774949907464013383813724745489837973135499767821414616344299647166065352946836646050852106404296002981169607828571857490379788908827516145936609854472147578315846899265073161267374626276690892834555579283806925873910569506683390123380110272821519454312196998779328065954175384890751524367290308885116990223394536951831566266676118378190403730580752086998656940576266106167306427576352938663162928172799256349686842490971250944759729016164993182316485237644235899974753010580786409154493657286768844888548739950607518779632991213674117128885816734958961297755538402092590862613632809383407936228432043748339465659420471312071768998538527735090067542193229945204690445834006568836629609520073327394513467761281703818571342372984127751423066975482564570458778751858613102483683250684398227572247911538118596283031577152012431355723397559192132554690466600605475463889904844364621872496893779404824956181903789040763895160245946149809736192135631233463525104624513107715829417558140852115003824559452710033465142651846883534630346203984392278571943843662274324347596211916129527140547630170719875874510825339362625006206898217146480185695591451544757335713373222569071667228786769478982711832835631956848488051673483214893610197736558189310883669890989358699470925686322095166007763048707255732608620813844792589761639666129011259370251419611202070082658465910844041536381164511235690544660242630651471113178912129341914492517589349484205801440250231242856886301265040905907214968925856946182406201236020944687006423988145229434357258911026337810630463911818477194093509591914449305016672415373385478201907176501594383976486569243560682840346014708783586271428664314938018120777195289951369022254404084051321896549068157796847253380367956456661795917108369764463685416428590577677866734609074439666268049093162385643413970836011267078357487724032586648629327883507229442536379955299586045469962687775792638904096506274842619171776343948391733174123454842385024381341979642220583899066380007223335156414706145142110953302803204869526657687806352180309969803526391631502590279091003548814618367229526354887716376206016084654887735532607943673649454517889685508302222866551587658852885188385343540319070232731516690551412297980858246215140780914212329290660959154795124370308346112870786484015231497406673290088135132286502315305588964820451710960788335122094854732238522159562645459577681576833422233405969766702202016166483336324453366274896269077350518740388607234749583979580129019520087216097062431208311949941068416653331694611856290214858510160168977117655059446360725842842239134116984370101030979978346148116548804262581783174417278354890043338999062368019485928957545384777866738938982722509298415742119611975970201504441965870884611855574766350682960035566073961546571772394019388160579589283102114344291888239816740388170358180517726580554270262287785958203248829683857957207192603451388136132384952175628961475646349222454465417543249762057414448774896312220636192722483159435083200155496489189809304584314762771164789018720013600418853476294246554677722542293841876290721397398533162926551405789443513808110266647688392024339725391987709667462697755859904506386887494235982646294262478306664334258620063785576699613779376250132983646893856933078187337893986340477009755046041124246049622869479803363393962905686959231919880350006127533881449048518115030604381413947489257266425331101603470483610523283040618213323236266630925984078515343988911776175050936660252965507101942051682959163694372150995094012464795740843021991014655669255220392215917381817663959153827887795667485936663254127791131514400513459776516962284868653979443470505907996476167103219102610523687113821979507227828125485217731251254894464428417441279283752330627256306859953948920615297192872761097271752252517588659993875861354687899513876136867313546686083226978235595643790581615995458359870819100885534847752164026260354144858447012414729}
30919 4681739224071764451289516154356096772395148574769993320491769246888010420506957587701022: {463665,494576,556398,2131617,4108769,4352529,5220917,5869670,6637265,6701177,7043604,7352534,7964718,8835398,8859977,9291569,9410165,9573110,9889689,10442217,10503620,11148041,11256965,11292198,11448689,11487732,12537686,12564497,12604344,12657110,12742289,13173377,13273670,13508358,14179887,14847989,14946245,14952212,15188532,15327977,15758729,15928404,16269017,16355270,17009921,17718806,17910980,17911649,17935494,18181841,18203270,18466838,18819110,18854849,19626324,19949126,20899209,21257717,21493176,21843924,21897110,21995409,22213289,22490104,22512470,22557929,22582932,22729817,23226065,23502689,24039161,24144245,24179823,25127366,25301367,25312580,25482926,25588070,26261009,26276532,26790401,26860769,27014964,27551729,27742241,27871278,28226177,28973094,29942129,30120675,30375096,30438806,30513617,30653966,30705684,31251572,31733270,31908206,31982117,31982356,32085809,32128720,32391665,32535926,32661518,32909889,33105269,33575270,34017638,34171983,34572761,35386097,35655269,35681415,35698436,35742401,35974598,36144810,36404180,38060176,38079924,38258789,38334729,38554464,38850149,38869998,40290324,40323110,41039049,41245217,41521265,41588321,42432245,42477875,42512678,42659049,42774470,42783209,42817698,43001057,43017446,43342865,43373772,43563926,43685016,43791380,44935337,45456686,45689080,45836870,46142894,46785797,47507489,47905529,48387732,48598409,49064849,49145643,49303094,49764052,49825518,50918694,50973450,51087377,51329364,51400215,51522245,51741977,51802329,51904838,52011438,52549656,52981495,53871377,53944617,54371680,54536501,54826896,55004244,55099886,55994489,56386241,56424809,56769929,57700769,57857716,58188758,58752129,59022614,59118363,59576309,60251177,60339686,60455669,60576245,60873668,61020856,61023278,61118870,61168140,61177457,61680258,61826694,61867046,62234180,62305409,63577794,63960086,63960568,64187765,65134929,65239589,65246016,65318804,65746406,65918420,66206246,67828217,68193748,68436470,68648463,69000724,69141038,69799598,71247737,71501729,71944532,71955639,72014529,72691494,72692969,73342644,73401768,73917110,74089745,74255249,74421206,74577615,74650809,74681016,75190358,75451241,75511289,75687850,76779689,76959110,77025318,77058917,77073317,77281689,78182729,79102104,79439009,79472465,79549456,79737329,79907169,80076089,80606870,80888678,81220888,81848249,82123764,82429670,82576989,82653880,83053745,83215109,84016143,84072566,84216088,84318020,84706454,85661475,86073110,86775508,86965574,88700532,88760729,88782875,88907694,88989867,89435969,89493138,89856977,89864846,90037169,90825420,91090565,91325429,91328897,91372240,91373499,91571704,91981745,92350932,92985615,93106936,93332657,93565526,93991449,94484369,94743099,95366958,96690617,96728244,96811935,96880448,97298741,97321265,97419640,97827652,98134329,98330129,98599796,98685209,98915604,99184656,99521656,99664494,99986165,...,2170650374215008143095504807905834995239428095910807018648463451573506808524354111001909253856171786295965444871756437580990296570726365080333470095219438313390613531794438728030824625473929186325442806269863982594524062461171936344532290506475147687060697353054613103743885081233536927395834537074334481837178528512396941588636246296559164000108844191919804744873888878901311358216551606212560180427474806673788183044895907801567053291906163942111349391760472806550731132336148267459808176508580370581048798164193969077631920679338497154641402937925844388785810632668526074194160308455084121301481643650089156327268108830835965185967816388046841468400591472359879213256699137711458583119881399714803681809407561020245213635758023840384158688666883207666183213560420562658182612327177437873900427947353173608184668449588199687046714188918320235669361421999297745376283367618672210682227426409202171900746759929746409490153946348434050106676704219316138963919372031133503196702788709229480865107961530366599876618684511751632993986450630847333023761886155125732862888087137262448861401136141872394670641559477104762476653839718545103354861248813139296196771087795865686764215023166168368921190446074105711742567831880759342244520164506813697095359272416262665039104087938900513187668699156387078513489320297859382602442088355568157837587204974107669449331542587435021474889741903435137251550883904230399008466249123321295001259679638688219990909755313650192314533299670680774381878872658209715691793184731653267476691706177321618232156171847755646611948397007384536123454483484843745844543914971242724997785954212560628416095691998051370313453423389590973260272920594445342091782172812693431103192684623681708938424761789830645503668564089300643419427278371669144817469978244334245864303429663882050824795044042102869349908474297863412256176739587288800807300618519873125819495829995858372539766608242538385387685193546994594866412981589514174977951366806166017476954439223410854469486671766079270280044620190202462511379507128271979189704762591791549699099130128282554839369520730173560959834499347767119150166674942530956195306914260788602059676447617830963425428889638382359305310282443780842609131317402231310953191480263648744252414511559854652478265961234248429460221343684064943007643478161085126390119682186221505348345827001892814936093443544621214458722048508219348314254059546990174201961484238549505789219323356785799312274401920333641657142515068353387874542953291901142594909874934981361259582675231984193639245809678548035117080840618549091302925458012789219265740022229887164513970935876235335459178635315425658080910453794686278378115028571552419917357494369593719935158696339205445401762528732090877062463004507157275275549061222811159685951580555238120770237155646145432586221690732124216514191218627781348356104476650298710115531505770511342972590048506607066114727293283583701056851872128675033123492229035125264522310898831273123180032508455972856294111865421840009631113541886274860189481271070404273159368876917075136240413293071368522175336787038788004731752824489639368473183621834941354779539850314043477258231532606023852914011069630488735450211803846917847124720425426976975355587401883063974477661620187707885616439054214612206393499160411128150494381978686975329875564386784180176382003087074118619760602281281051113496126472976318029546083527279436908769111229644541293022269602688221977781765937821699861692103134024987184809646332778639440172026026782954796083241611082599921424555537775592815808386953144680213558636156873412595147634457122985512155979160134707973304461530822065072350109044232556371139853391118665416490692647905276727179703822318585310296679064554322826149301293602005922621161179482474099688467577280047421431948728762363192025850880772785710802819125722517653088987184227144240690302107405693683050381277604331772911810609609590137935184181509846602900838615300861798963272620556724333016076552598366528416294181590296644212580110933540661985586412406112419683694886385358293351467225137968392328739570296723058455835054295196531377550568735207719258018410813688863584522699119633855983612889950263674479872675182516658981310195059016637742219112344826751714102266151705835000177311529191809244104249783858648453969346340061388165661399497159306404484525283874249278975893173800008170045175265398024153374139175218596652343021900441468804627311480697710720824284430981688841234645438020458651882368233401248880337287342802589402243945551592496201326792016619727654457362654686207559006960522954556509090218612205103850394223314582217672170388175352534017946368689283046491538639257960674543995301556137625470147364916151762639342970437500646956975001673192619237889921705711669774169675075813271931894153729590497014796362336336690118213325167815139583866018501515823084728914777635970980794191720775487993944479827758801180713130336218701680472193144596016552972}
30920 4696061979113564623448331690923686485032276747693532620453961441109642055701138067126191: {432754,618220,741864,834597,1882399,2067151,2285194,2436439,2842156,2901874,3174151,3641362,4134034,4278559,4829791,4872562,5013391,5487562,5803372,5930311,6225034,6716362,6845431,8305879,8433994,8488111,8670271,8804505,9391472,10565406,10619624,11028801,11212951,11737714,11947077,12958354,13129525,13186252,13253097,13922956,14055562,14359665,14786314,15056264,15316976,15755430,15759754,16489162,16805792,16938297,17217994,17231598,18011144,18221719,18399991,18578191,18690265,18806529,18906516,18985665,19678841,19910505,20001199,20251376,20262537,21237872,21419599,21941362,22127071,22303759,22388725,22428318,22656919,22782798,23148562,23714671,23751562,23892606,23913992,24418399,24474634,24532905,24769831,24945439,24956362,25678474,26168432,26578209,26866470,26903241,27221791,27304905,27361162,27700257,27865612,28094071,28112630,28228665,28657568,29125232,29327212,29439486,29639794,29879314,29923689,30110576,31046359,31640725,31910719,32239764,32428471,32765886,32845665,33289951,33302654,33735156,33768705,33874398,34656274,35013514,35035376,36019952,36322162,36717871,37059079,37161704,37691049,37910839,37968870,38224389,38251039,38382105,38630792,39064465,39100279,39170674,39414798,39881362,39977945,40160900,40500128,40522446,40940912,40946314,41806917,42647431,43459641,43655071,43879852,44623045,44994559,45505225,45562644,45658209,45663754,45980949,46058526,46877358,47161399,47575220,47599905,47862309,47973534,48193080,48716362,48803889,48819919,48992277,49419274,49646479,49770514,49887562,50362905,50773232,50800639,50965231,51026457,51112972,51129751,51405952,51641362,51826664,51951271,52115359,53393249,53547654,53720432,53961897,54078799,54217215,54439954,54606270,54718732,54739225,55719562,55965497,56878732,57090264,57111350,57119886,57489871,57651511,57813079,57831696,58135999,58157074,58246688,58304997,59263951,59315314,59662474,60067471,60435486,60484665,60869191,61349359,62088562,62148199,62205065,62780434,63522217,63769017,64161705,64226547,64516976,64526169,64533919,65060658,65345889,65527524,65641711,65687070,66434024,66903439,67060831,67263562,67689679,67845557,67891592,67964600,68003671,68185029,68439152,68533620,68755305,69069772,69214341,69348584,69605774,70066208,70349431,71068277,71380234,71926156,72322145,72581598,73102528,73338992,73689077,73954641,74113162,74646078,74738277,75703114,76092085,76276070,76378041,76383562,76460175,76678519,76994046,77403154,77792725,77857257,78017157,78082162,78336172,78660031,78824484,79570471,79950710,80024719,80125241,81468569,81557520,81581194,81648505,82240344,82398025,82435592,82506366,82586551,82649829,83784919,84233119,84680671,84770392,85242185,86250905,86760679,86786574,86846572,86994688,87081449,87192394,87283137,87639562,87942919,88237759,88385071,88533921,89414239,89930665,89982994,90357806,90509529,91310502,91531284,91534917,91678305,91752210,92208274,92520387,92652562,92740041,92800569,93350839,93351270,94205554,94362871,94434389,94980874,95083591,95366691,95545814,95940129,95940852,96019372,96232999,96921992,97377799,97522834,97790192,97869024,97948471,97978206,98619609,98877630,99176074,99228271,99309369,99370111,99436820,99534412,99574688,99836362,...,3255975561322512214643257211858752492859142143866210527972695177360260212786531166502863880784257679443948167307634656371485444856089547620500205142829157470085920297691658092046236938210893779488164209404795973891786093691757904516798435759712721530591046029581919655615827621850305391093751805611501722755767792768595412382954369444838746000163266287879707117310833318351967037324827409318840270641212210010682274567343861702350579937859245913167024087640709209826096698504222401189712264762870555871573197246290953616447881019007745731962104406888766583178715949002789111291240462682626181952222465475133734490902163246253947778951724582070262202600887208539818819885048706567187874679822099572205522714111341530367820453637035760576238033000324811499274820340630843987273918490766156810850641921029760412277002674382299530570071283377480353504042132998946618064425051428008316023341139613803257851120139894619614235230919522651075160015056328974208445879058046700254795054183063844221297661942295549899814928026767627449490979675946270999535642829232688599294332130705893673292101704212808592005962339215657143714980759577817655032291873219708944295156631693798530146322534749252553381785669111158567613851747821139013366780246760220545643038908624393997558656131908350769781503048734580617770233980446789073903663132533352236756380807461161504173997313881152532212334612855152705877326325856345598512699373684981942501889519458032329986364632970475288471799949506021161572818308987314573537689777097479901215037559265982427348234257771633469917922595511076804185181725227265618766815872456864087496678931318840942624143537997077055470180135084386459890409380891668013137673259219040146654789026935522563407637142684745968255502846133950965129140917557503717226204967366501368796455144495823076237192566063154304024862711446795118384265109380933201210950927779809688729243744993787558809649912363807578081527790320491892299619472384271262466927050209249026215431658835116281704230007649118905420066930285303693767069260692407968784557143887687324548648695192423832259054281095260341439751749021650678725250012413796434292960371391182903089514671426746445138143334457573538957965423665671263913696976103346966429787220395473116378621767339781978717398941851372644190332015526097414511465217241627689585179523279332258022518740502839222404140165316931821688083072762329022471381089320485261302942226357824258683828985035178698968411602880500462485713772602530081811814429937851713892364812402472041889374012847976290458868714517822052675621260927823636954388187019183828898610033344830746770956403814353003188767952973138487121365680692029417567172542857328629876036241554390579902738044508808168102643793098136315593694506760735912913323591834216739528927370832857181155355733469218148879332536098186324771286827941672022534156714975448065173297258655767014458885072759910599172090939925375551585277808193012549685238343552687896783466348246909684770048762683959284441167798132760014446670312829412290284221906605606409739053315375612704360619939607052783263005180558182007097629236734459052709775432752412032169309775471065215887347298909035779371016604445733103175317705770376770687080638140465463033381102824595961716492430281561828424658581321918309590248740616692225741572968030462994813346580176270264573004630611177929640903421921576670244189709464477044319125290919155363153666844466811939533404404032332966672648906732549792538154701037480777214469499167959160258039040174432194124862416623899882136833306663389223712580429717020320337954235310118892721451685684478268233968740202061959956692296233097608525163566348834556709780086677998124736038971857915090769555733477877965445018596831484239223951940403008883931741769223711149532701365920071132147923093143544788038776321159178566204228688583776479633480776340716361035453161108540524575571916406497659367715914414385206902776272264769904351257922951292698444908930835086499524114828897549792624441272385444966318870166400310992978379618609168629525542329578037440027200837706952588493109355445084587683752581442794797066325853102811578887027616220533295376784048679450783975419334925395511719809012773774988471965292588524956613328668517240127571153399227558752500265967293787713866156374675787972680954019510092082248492099245738959606726787925811373918463839760700012255067762898097036230061208762827894978514532850662203206940967221046566081236426646472533261851968157030687977823552350101873320505931014203884103365918327388744301990188024929591481686043982029311338510440784431834763635327918307655775591334971873326508255582263028801026919553033924569737307958886941011815992952334206438205221047374227643959014455656250970435462502509788928856834882558567504661254512613719907897841230594385745522194543504505035177319987751722709375799027752273734627093372166453956471191287581163231990916719741638201771069695504328052520708289716894024829458}
30921 4710428299663545475705311209707062640847757747579406214697929618342658576489342853571549: {649131,772775,927330,989152,1112796,3427791,3552695,4263234,4352811,5462043,5776991,6201051,7254215,7308843,8217538,8231343,8705058,9292171,9337551,9851039,10074543,10441834,11739340,12074471,12650991,13174231,13274530,13402354,13921919,14087208,14705068,14848951,15759751,15848109,15929436,16482815,17403695,17606571,17670796,17719954,18183019,18583138,18820330,19146220,19437531,19779378,20022299,20589623,20884434,20924743,21007240,21083343,22179471,22296082,22513930,22584396,22897378,22975464,23633145,23639631,24085259,24733743,25075372,25128994,25208688,25211803,25314220,25484578,25826991,25847397,26346754,26547340,26862511,27016716,27796751,28359774,29655499,29695978,29892490,29904424,30377064,30655954,31517458,31661383,31856808,32516491,32538034,32710540,32912043,33349931,33642477,33801943,34019842,34174197,34228799,34722843,34832015,35388391,35437612,35627343,35744719,35821960,35823298,35838909,35870988,36255131,36363682,36406540,36659015,36681839,36711951,36933676,37434543,37638220,37709698,38517711,39252648,39898252,40299705,41041743,41798418,41848523,42168945,42515434,42759823,42986352,43687848,43794220,43990818,44159229,44426578,44459691,44818971,44980208,45024940,45115858,45165864,45348331,45459634,46374911,46452130,47005378,47399543,48078322,48288490,48359646,49068031,49148829,49953981,50201125,50254732,50602734,50625160,50811597,50819431,50965852,51176140,51840359,51984411,52520271,52522018,52553064,52888751,53580802,53721538,54029928,54483243,54849815,55103458,55484482,55742556,56452354,56953305,57946188,58129771,58297639,58756011,59122197,59405143,59469025,59822043,59884258,60241350,60375991,60680011,60750192,60783669,60877612,61027234,61307932,61411368,61419471,62503144,63066023,63466540,63816412,63891215,63964234,63964712,64171618,64257440,64783330,65071852,65323036,65819778,66210538,66555071,67150540,68035276,68343966,68398415,68495631,68531471,69087789,69145522,69738871,70316037,70772194,71098415,71310538,71362830,71396872,71484802,71949196,71960301,72131143,72289620,72300631,72808360,73074543,74128911,74157263,74174093,74655771,74831343,76120352,76159848,76395343,76517578,76669458,77108928,77462043,77700298,77739996,78625151,79502543,80321481,80580648,80634059,80646220,80832991,81245083,81659931,81909405,82078098,82490434,83042530,83176642,83579343,84201871,84806743,84864490,84955750,85025356,85318098,85548940,85566418,85635396,85667025,85679829,86002114,86034892,86337215,86685730,86747544,87127852,87235611,87370032,87582760,88972971,89493711,89684999,89862871,89870674,89907695,90653229,90913372,91378160,91673740,92285788,93132843,93571594,94170651,95014978,95811058,96339743,96775464,97196818,97590987,97920215,98129698,98291286,98530605,98606188,99528104,99651036,99725111,...,4883963341983768321964885817788128739288713215799315791959042766040390319179796749754295821176386519165922250961451984557228167284134321430750307714243736205128880446537487138069355407316340669232246314107193960837679140537636856775197653639569082295886569044372879483423741432775458086640627708417252584133651689152893118574431554167258119000244899431819560675966249977527950555987241113978260405961818315016023411851015792553525869906788868869750536131461063814739145047756333601784568397144305833807359795869436430424671821528511618597943156610333149874768073923504183666936860694023939272928333698212700601736353244869380921668427586873105393303901330812809728229827573059850781812019733149358308284071167012295551730680455553640864357049500487217248912230510946265980910877736149235216275962881544640618415504011573449295855106925066220530256063199498419927096637577142012474035011709420704886776680209841929421352846379283976612740022584493461312668818587070050382192581274595766331946492913443324849722392040151441174236469513919406499303464243849032898941498196058840509938152556319212888008943508823485715572471139366726482548437809829563416442734947540697795219483802123878830072678503666737851420777621731708520050170370140330818464558362936590996337984197862526154672254573101870926655350970670183610855494698800028355134571211191742256260995970821728798318501919282729058815989488784518397769049060527472913752834279187048494979546949455712932707699924259031742359227463480971860306534665646219851822556338898973641022351386657450204876883893266615206277772587840898428150223808685296131245018396978261413936215306995615583205270202626579689835614071337502019706509888828560219982183540403283845111455714027118952383254269200926447693711376336255575839307451049752053194682716743734614355788849094731456037294067170192677576397664071399801816426391669714533093865617490681338214474868545711367122291685480737838449429208576406893700390575313873539323147488252674422556345011473678358130100395427955540650603891038611953176835715831530986822973042788635748388581421642890512159627623532476018087875018620694651439440557086774354634272007140119667707215001686360308436948135498506895870545464155020449644680830593209674567932651009672968076098412777058966285498023289146121767197825862441534377769284918998387033778110754258833606210247975397732532124609143493533707071633980727891954413339536736388025743477552768048452617404320750693728570658903795122717721644906777570838547218603708062834061019271964435688303071776733079013431891391735455431582280528775743347915050017246120156434605721529504783151929459707730682048521038044126350758814285992944814054362331585869854107066763212252153965689647204473390541760141103869369985387751325109293391056249285771733033600203827223318998804147279487156930241912508033801235072463172097759945887983650521688327609139865898758136409888063327377916712289518824527857515329031845175199522370364527155073144025938926661751697199140021670005469244118435426332859908409614608579973063419056540929909410579174894507770837273010646443855101688579064663149128618048253964663206597823831020948363553669056524906668599654762976558655565156030620957210698194550071654236893942574738645422342742636987871982877464385373110925038338612359452045694492220019870264405396859506945916766894461355132882365005366284564196715566478687936378733044730500266700217909300106606048499450008973360098824688807232051556221165821704248751938740387058560261648291187293624935849823205249959995083835568870644575530480506931352965178339082177528526717402350953110303092939935038444349646412787745349523251835064670130016997187104058457786872636154333600216816948167527895247226358835927910604513325897612653835566724299052048880106698221884639715317182058164481738767849306343032875664719450221164511074541553179741662810786863357874609746489051573871621577810354164408397154856526886884426939047667363396252629749286172243346324688936661908578167449478305249600466489467569427913752944288313494367056160040801256560428882739664033167626881525628872164192195599488779654217368330541424330799943065176073019176175963129002388093267579713519160662482707947938882787434919993002775860191356730098841338128750398950940681570799234562013681959021431029265138123372738148868608439410090181888717060877695759641050018382601644347145554345091813144241842467771799275993304810411450831569849121854639969708799892777952235546031966735328525152809980758896521305826155048877491083116452985282037394387222529065973043967007765661176647752145452991877461483663387002457809989762383373394543201540379329550886854605961938330411517723989428501309657307831571061341465938521683484376455653193753764683393285252323837851256991881768920579861846761845891578618283291815256757552765979981627584064063698541628410601940640058249680934706786931371744847986375079612457302656604543256492078781062434575341037244187}
30922 4724838317472696931945523716807951409159817586839519412878884310378941793488428489483266: {340021,865508,895897,1236440,1266121,1390995,1483728,1636057,1669194,2190421,2559637,3481417,3764798,4134302,4570388,4585177,4872878,5684312,5803748,6348302,6394851,7150537,7282724,7698421,8268068,8557118,9659582,9745124,10026782,10975124,11606744,11696437,11860622,12326307,12450068,13057587,13141621,13432724,13690862,14674175,14941621,15662751,16611758,16867988,16976222,17340542,17609010,18163477,18381335,18782944,19765657,19911795,20103531,21130812,21239248,21715957,22057602,22088495,22425902,22952521,23475428,23894154,23932775,24361417,25916708,25940917,26166371,26259050,26372504,26506194,26579931,27340021,27845912,27874707,28111124,28230495,28719330,29572628,29669067,30112528,30633952,31326651,31336777,31344215,31510860,31519508,31642775,32890357,32978324,33184175,33444123,33611584,33770895,33876594,34346067,34435988,34463196,34609717,35124121,36022288,36443438,36799982,37156382,37345717,37380530,37613058,37693491,37813032,37971330,38196937,38226867,39357682,39520131,39821010,40002398,40502752,40525074,40888175,42426037,42475744,42539661,42839198,43882724,43937497,44105077,44254142,44297015,44440021,44543967,44607518,44774677,44777450,44838735,44856636,45313838,45508175,45565596,45776917,45983931,46167095,46297124,46443637,47047775,47276187,47429342,47441557,47503124,47785212,47827984,48807051,48836798,48949268,49065810,49539662,49872815,49890878,49912724,50254921,51029763,51356948,52336864,53156418,53732940,53734947,53806482,54443582,54545523,54609810,54690251,54722324,54742775,54843337,55168921,55400514,55494217,55731224,55969123,56188142,56225260,56281175,56457330,56564547,57116377,57315136,58250464,58654424,58878972,59279588,59536117,59758628,59847378,60221152,61300297,62092718,62472263,62697627,62818415,63281450,63707315,63773151,63821438,63970175,64479528,64856942,65119177,65531772,65691330,65986227,66579902,66605308,66639867,67170421,67470312,67537410,67673787,67748796,67956121,68189451,69053077,69312548,69678195,69990517,70027028,70070752,70508067,70995419,72039904,72117483,72432735,72539469,72644324,73435742,74118158,74323408,74484937,75071711,75382098,75821678,75904101,75937740,76020697,76097015,76448778,76480021,76502078,76634915,76764210,77244121,77261584,78128930,78200558,78341348,78783027,78829596,79333175,79762724,79770515,79955890,80321800,80371203,80582307,81000256,81044892,81339157,81339815,81653795,81881824,81892628,82242037,82655187,82992457,83226723,83613834,83938175,84678531,85044095,85294862,86717557,86919282,87087091,87310142,87759704,89224921,89246090,89826387,89936495,89989118,90362025,91010450,91125288,91316418,91327508,91540851,91961898,92117052,92874421,93754716,93888217,94322798,95150440,95199810,95724618,95761621,95946351,95947068,96257427,96386160,97174995,97432724,97607778,97639838,97984554,98193097,98729667,98838548,98904277,99292958,99315807,99541028,99775124,...,6511951122645024429286514423717504985718284287732421055945390354720520425573062333005727761568515358887896334615269312742970889712179095241000410285658314940171840595383316184092473876421787558976328418809591947783572187383515809033596871519425443061182092059163839311231655243700610782187503611223003445511535585537190824765908738889677492000326532575759414234621666636703934074649654818637680541282424420021364549134687723404701159875718491826334048175281418419652193397008444802379424529525741111743146394492581907232895762038015491463924208813777533166357431898005578222582480925365252363904444930950267468981804326492507895557903449164140524405201774417079637639770097413134375749359644199144411045428222683060735640907274071521152476066000649622998549640681261687974547836981532313621701283842059520824554005348764599061140142566754960707008084265997893236128850102856016632046682279227606515702240279789239228470461839045302150320030112657948416891758116093400509590108366127688442595323884591099799629856053535254898981959351892541999071285658465377198588664261411787346584203408425617184011924678431314287429961519155635310064583746439417888590313263387597060292645069498505106763571338222317135227703495642278026733560493520441091286077817248787995117312263816701539563006097469161235540467960893578147807326265066704473512761614922323008347994627762305064424669225710305411754652651712691197025398747369963885003779038916064659972729265940950576943599899012042323145636617974629147075379554194959802430075118531964854696468515543266939835845191022153608370363450454531237533631744913728174993357862637681885248287075994154110940360270168772919780818761783336026275346518438080293309578053871045126815274285369491936511005692267901930258281835115007434452409934733002737592910288991646152474385132126308608049725422893590236768530218761866402421901855559619377458487489987575117619299824727615156163055580640983784599238944768542524933854100418498052430863317670232563408460015298237810840133860570607387534138521384815937569114287775374649097297390384847664518108562190520682879503498043301357450500024827592868585920742782365806179029342853492890276286668915147077915930847331342527827393952206693932859574440790946232757243534679563957434797883702745288380664031052194829022930434483255379170359046558664516045037481005678444808280330633863643376166145524658044942762178640970522605884452715648517367657970070357397936823205761000924971427545205060163623628859875703427784729624804944083778748025695952580917737429035644105351242521855647273908776374038367657797220066689661493541912807628706006377535905946276974242731361384058835134345085714657259752072483108781159805476089017616336205287586196272631187389013521471825826647183668433479057854741665714362310711466938436297758665072196372649542573655883344045068313429950896130346594517311534028917770145519821198344181879850751103170555616386025099370476687105375793566932696493819369540097525367918568882335596265520028893340625658824580568443813211212819478106630751225408721239879214105566526010361116364014195258473468918105419550865504824064338619550942130431774694597818071558742033208891466206350635411540753541374161276280930926066762205649191923432984860563123656849317162643836619180497481233384451483145936060925989626693160352540529146009261222355859281806843843153340488379418928954088638250581838310726307333688933623879066808808064665933345297813465099585076309402074961554428938998335918320516078080348864388249724833247799764273666613326778447425160859434040640675908470620237785442903371368956536467937480404123919913384592466195217050327132697669113419560173355996249472077943715830181539111466955755930890037193662968478447903880806017767863483538447422299065402731840142264295846186287089576077552642318357132408457377167552959266961552681432722070906322217081049151143832812995318735431828828770413805552544529539808702515845902585396889817861670172999048229657795099585248882544770889932637740332800621985956759237218337259051084659156074880054401675413905176986218710890169175367505162885589594132651706205623157774055232441066590753568097358901567950838669850791023439618025547549976943930585177049913226657337034480255142306798455117505000531934587575427732312749351575945361908039020184164496984198491477919213453575851622747836927679521400024510135525796194072460122417525655789957029065701324406413881934442093132162472853292945066523703936314061375955647104700203746641011862028407768206731836654777488603980376049859182963372087964058622677020881568863669527270655836615311551182669943746653016511164526057602053839106067849139474615917773882023631985904668412876410442094748455287918028911312501940870925005019577857713669765117135009322509025227439815795682461188771491044389087009010070354639975503445418751598055504547469254186744332907912942382575162326463981833439483276403542139391008656105041416579433788049658916}
30923 4739292164688157354875679950306199618070801201736806570005351552573566329495222482294436: {1081885,1298262,1545550,1854660,1978304,2225592,2503791,4973773,5647197,5712985,6201453,6456637,6827353,6855582,7105390,7254685,7309317,8526468,8705622,9103405,9522453,10155901,10335085,10530421,10924086,11553982,11642137,12181405,12402102,12835677,13494997,13718905,13922821,14489373,14508430,14601037,14617686,15040173,15562585,16435076,16453177,16462686,16790905,17410116,17790933,17990797,18584342,18675102,19416601,19702078,20023597,20149086,20536293,20590957,20701021,20883668,21084985,22009597,23075941,23478680,23662717,24086821,24148942,24365173,24656341,24763717,24917637,25301982,25464333,26010813,26348462,26413515,26549060,26804708,27798553,27843838,28146877,28174416,28464397,29100037,29344285,29410136,29697902,31066957,31519502,31696218,31858872,32395885,32965630,33086403,33352093,33638853,34807390,34906597,35125621,35138905,35213142,35341592,35439908,35841231,36366038,36684217,36932797,36965785,37166276,37640660,38292440,38471197,38875062,39211621,39388575,39399385,39558756,39759291,40044598,40452217,41179246,41222905,41768868,41849486,41851237,42014480,42166686,42846973,43044985,43078995,43267117,44355421,44358942,44592164,45027860,45168792,45794756,45950928,46626121,47051917,47266290,47279262,47402617,48170518,48764821,49467486,50150744,50257988,50343757,50417376,50420557,50423606,50628440,50668477,50804041,50814891,50969156,51322621,51653982,51694794,51843721,52693508,53094680,53629021,53725022,53936053,54033432,54369157,54665157,54806713,54853405,55199973,55593502,55734573,56070795,56419587,56719548,56956995,57871405,58829653,59036523,59110957,59310998,59378905,59391956,59731515,59784980,59808848,60003597,60754128,60787611,61186585,61311908,62390905,63034916,63322766,63713616,64196185,64258797,65032982,65076068,65421080,65824086,66381213,66699862,66911277,66991417,67166175,67230757,67284954,67603886,67970757,68039684,68101261,68348394,68402905,68457598,68721493,69445686,69664030,70281575,70776782,70875224,71144013,71254686,71489438,71643920,71646596,71677818,71741976,72510262,72727364,72813080,73255197,73318030,73363678,73423902,73598715,73867352,74099485,74309493,74698285,74836317,74869086,75276440,75280117,75419396,76593997,76789741,77035422,77907481,78505296,78655993,79271557,79734627,79796504,80599410,80709723,81308821,81665373,81914715,82083486,83100771,83256635,83596836,83697046,84282213,84337890,84655021,84685995,84985477,85030868,85455541,85519646,85972704,86564953,86640685,87375696,87533785,87588440,87981636,88318458,88667557,88853156,88919382,89447701,89637942,89771067,89887933,89960416,90049880,90231716,90331728,90672637,90696662,90805405,90919268,92211337,92749822,92904260,92920633,93139077,93502261,94010756,94059877,94596013,94680421,94799086,94922175,95294797,95732157,95757781,96156644,96576980,96719292,96934213,97017541,97285413,97926685,98136062,98297658,98536995,99537781,99605497,99703405,99770917,99869853,99907962,...,9767926683967536643929771635576257478577426431598631583918085532080780638359593499508591642352773038331844501922903969114456334568268642861500615428487472410257760893074974276138710814632681338464492628214387921675358281075273713550395307279138164591773138088745758966847482865550916173281255416834505168267303378305786237148863108334516238000489798863639121351932499955055901111974482227956520811923636630032046823702031585107051739813577737739501072262922127629478290095512667203569136794288611667614719591738872860849343643057023237195886313220666299749536147847008367333873721388047878545856667396425401203472706489738761843336855173746210786607802661625619456459655146119701563624039466298716616568142334024591103461360911107281728714099000974434497824461021892531961821755472298470432551925763089281236831008023146898591710213850132441060512126398996839854193275154284024948070023418841409773553360419683858842705692758567953225480045168986922625337637174140100764385162549191532663892985826886649699444784080302882348472939027838812998606928487698065797882996392117681019876305112638425776017887017646971431144942278733452965096875619659126832885469895081395590438967604247757660145357007333475702841555243463417040100340740280661636929116725873181992675968395725052309344509146203741853310701941340367221710989397600056710269142422383484512521991941643457596637003838565458117631978977569036795538098121054945827505668558374096989959093898911425865415399848518063484718454926961943720613069331292439703645112677797947282044702773314900409753767786533230412555545175681796856300447617370592262490036793956522827872430613991231166410540405253159379671228142675004039413019777657120439964367080806567690222911428054237904766508538401852895387422752672511151678614902099504106389365433487469228711577698189462912074588134340385355152795328142799603632852783339429066187731234981362676428949737091422734244583370961475676898858417152813787400781150627747078646294976505348845112690022947356716260200790855911081301207782077223906353671431663061973645946085577271496777162843285781024319255247064952036175750037241389302878881114173548709268544014280239335414430003372720616873896270997013791741090928310040899289361661186419349135865302019345936152196825554117932570996046578292243534395651724883068755538569837996774067556221508517667212420495950795465064249218286987067414143267961455783908826679073472776051486955105536096905234808641501387457141317807590245435443289813555141677094437207416125668122038543928871376606143553466158026863782783470910863164561057551486695830100034492240312869211443059009566303858919415461364097042076088252701517628571985889628108724663171739708214133526424504307931379294408946781083520282207738739970775502650218586782112498571543466067200407654446637997608294558974313860483825016067602470144926344195519891775967301043376655218279731797516272819776126654755833424579037649055715030658063690350399044740729054310146288051877853323503394398280043340010938488236870852665719816819229217159946126838113081859818821158349789015541674546021292887710203377158129326298257236096507929326413195647662041896727107338113049813337199309525953117311130312061241914421396389100143308473787885149477290844685485273975743965754928770746221850076677224718904091388984440039740528810793719013891833533788922710265764730010732569128393431132957375872757466089461000533400435818600213212096998900017946720197649377614464103112442331643408497503877480774117120523296582374587249871699646410499919990167671137741289151060961013862705930356678164355057053434804701906220606185879870076888699292825575490699046503670129340260033994374208116915573745272308667200433633896335055790494452717671855821209026651795225307671133448598104097760213396443769279430634364116328963477535698612686065751329438900442329022149083106359483325621573726715749219492978103147743243155620708328816794309713053773768853878095334726792505259498572344486692649377873323817156334898956610499200932978935138855827505888576626988734112320081602513120857765479328066335253763051257744328384391198977559308434736661082848661599886130352146038352351926258004776186535159427038321324965415895877765574869839986005551720382713460197682676257500797901881363141598469124027363918042862058530276246745476297737216878820180363777434121755391519282100036765203288694291108690183626288483684935543598551986609620822901663139698243709279939417599785555904471092063933470657050305619961517793042611652310097754982166232905970564074788774445058131946087934015531322353295504290905983754922967326774004915619979524766746789086403080758659101773709211923876660823035447978857002619314615663142122682931877043366968752911306387507529366786570504647675702513983763537841159723693523691783157236566583630513515105531959963255168128127397083256821203881280116499361869413573862743489695972750159224914605313209086512984157562124869150682074488374}
30924 4753789973854397822534207361253554212770587025249958146047946896237856129471737420864987: {401843,680042,957683,1327883,1636163,1731016,1791794,1947393,2190563,2252123,2318325,2472880,2532242,2559803,2781990,2967456,3272114,3297419,3338388,4380842,4646723,5119274,5136419,6053219,6480443,6962834,6968219,7529596,8063843,8268604,8610683,8974883,9140776,9170354,9745756,10126283,10283373,10610219,10658085,11214419,11368624,11607496,12696604,12789702,13058433,13142483,13202603,13923419,14301074,14565448,15396842,15839963,16386129,16536136,16914419,17114236,17330973,17510219,18224123,18603153,18699419,19114883,19319164,19490248,19766963,20053564,20543845,20654603,21186323,21762645,21926529,21950248,21953219,22424483,23213488,23392874,23717819,23721244,24421643,24652614,24694029,24714563,24890219,24900136,25650563,25733869,26104585,26115174,26283242,26351219,26865448,27341843,27381724,27876513,28012653,28214003,29258219,29348350,29553117,29837219,29883242,30223629,30923893,31325502,31396523,31684643,32432819,32547803,33186325,33223516,33505885,33735976,33952444,34612043,34681084,34840763,35218020,35697323,36223413,36326954,36762670,37565888,37952973,38029403,38256203,39522693,39531314,39823590,40207062,41765757,41979923,42261624,42478496,42765323,43325363,43431914,43605083,43772819,43881901,44115204,44176990,44299885,44546853,44777723,44851804,45905042,46457845,46835219,46950856,47050825,47278643,47279253,47500163,47544327,47666219,47788308,47865550,47942819,48722834,49448445,49488083,50313323,50588003,51794219,51833416,51881834,52067819,52211085,52332742,52450523,52518100,52745008,52819713,53012388,53051123,53159862,53705219,54086243,54549057,54680042,55172723,55335419,55691824,55740205,55749414,56222248,56284825,56460990,57243445,57438660,57767219,57928763,58312593,59145256,59272163,59338134,60022283,60066897,60182819,60225056,60824243,61267904,61357883,61768869,61943963,62015821,62653302,62673554,62688430,62774229,62822485,63021720,63039016,63250029,63285550,63537443,63711445,63749363,64172819,64633933,64965419,65334683,65650883,65756219,65780714,65866885,65956648,66368350,66538413,66702803,66888246,67175123,67223168,67541790,67753188,67856219,68013203,68692134,68744843,68871976,68926392,69219434,69683219,69821941,70248242,70463219,70899435,70918893,71603963,71862683,72044576,72255777,72886876,73599964,74079419,74201229,74239945,74312764,74691434,74731225,74761060,74849219,75226116,75386982,75626064,75635409,75942660,76393874,76453734,76536443,76639885,77249603,77480973,77542191,78715364,78772523,78793645,79040262,79642020,79682819,79834283,80004796,80587533,81005504,81050148,81194219,81345085,81776350,81947219,82698419,82848443,83048363,83390253,83903677,84344723,84792203,84852074,84951488,85049605,85079322,85678396,86773163,87765448,87874994,87945781,88210154,88250483,88397819,88496003,88508284,88594030,88721113,88880042,88966497,89087934,89190241,89215036,89549354,89554900,89558245,89677470,89713272,89964923,90452963,90627676,90909205,91016350,91131192,91329419,91475243,91553834,91967862,92203283,92334190,92594248,92887274,92929523,94095550,94274245,94552374,94858684,94883114,94984149,95006248,95193419,95570424,95655968,96390419,96629219,97344419,97549473,97614102,97673596,97898536,98131620,98736129,99079324,99384683,99745630,99781756,99825448,...,14651890025951304965894657453364386217866139647397947375877128298121170957539390249262887463529159557497766752884355953671684501852402964292250923142731208615386641339612461414208066221949022007696738942321581882513037421612910570325592960918707246887659707133118638450271224298326374259921883125251757752400955067458679355723294662501774357000734698295458682027898749932583851667961723341934781217885454945048070235553047377660577609720366606609251608394383191444217435143269000805353705191432917501422079387608309291274015464585534855793829469830999449624304221770512551000810582082071817818785001094638101805209059734608142765005282760619316179911703992438429184689482719179552345436059199448074924852213501036886655192041366660922593071148501461651746736691532838797942732633208447705648827888644633921855246512034720347887565320775198661590768189598495259781289912731426037422105035128262114660330040629525788264058539137851929838220067753480383938006455761210151146577743823787298995839478740329974549167176120454323522709408541758219497910392731547098696824494588176521529814457668957638664026830526470457146717413418100179447645313429488690249328204842622093385658451406371636490218035511000213554262332865195125560150511110420992455393675088809772989013952593587578464016763719305612779966052912010550832566484096400085065403713633575226768782987912465186394955505757848187176447968466353555193307147181582418741258502837561145484938640848367138798123099772777095227077682390442915580919603996938659555467669016696920923067054159972350614630651679799845618833317763522695284450671426055888393735055190934784241808645920986846749615810607879739069506842214012506059119529666485680659946550621209851535334367142081356857149762807602779343081134129008766727517922353149256159584048150231203843067366547284194368111882201510578032729192992214199405449279175009143599281596852472044014643424605637134101366875056442213515348287625729220681101171725941620617969442464758023267669035034421035074390301186283866621951811673115835859530507147494592960468919128365907245165744264928671536478882870597428054263625055862083954318321671260323063902816021420359003121645005059080925310844406495520687611636392465061348934042491779629023703797953029018904228295238331176898856494069867438365301593477587324603133307854756995161101334332262776500818630743926193197596373827430480601121214901942183675863240018610209164077230432658304145357852212962252081185711976711385368153164934720332712515641655811124188502183057815893307064909215330199237040295674175206366294746841586327230043745150051738360469303817164588514349455788379123192046145563114132379052276442857978834442163086994757609562321200289636756461897068941613420171625280423311608109956163253975327880173168747857315199100800611481669956996412441838461470790725737524101403705217389516293279837663950951565064982827419597696274409229664189982133750136868556473583572545987095535525598567111093581465219432077816779985255091597420065010016407732355306278998579725228843825739919190257169622789728231737524683523312511819031939331565305065737193989447385854144761893989619793471493062845090661007169574720005798964288929675966695468091862871632094583650214962710681827724215936267028227910963615948632393156119332775115015837078356137083476660059610793216190578520837750300683384065398647095016098853692590146699436063809136199134191500800100653727900319818145498350026920080296474066421696154668663497465112746255816221161175680784944873561880874807549469615749879985251506706611933726591441520794058895535017246532585580152207052859330909278819805115333048939238363236048569755505194010390050991561312175373360617908463000800650450844502583685741679076507783731813539977692837961506700172897156146640320094665653919145951546174493445216303547919029098626994158350663493533223624659539224988432360590073623829239467154721614864733431062493225191464569580660653280817143002090188757889247858516730038974066809985725734502348434915748801399468402708283741258832864940483101168480122403769681286648218992099502880644576886616492576586798466338962652104991624272992399829195528219057528527889387007164279802739140557481987448123843816648362304759979008327580574070190296524014386251196852822044712397703686041045877064293087795414370118214446605825318230270545666151182633087278923150055147804933041436663035275439432725527403315397827979914431234352494709547365563919909126399678333856706638095900205985575458429942276689563917478465146632473249349358955846112183161667587197919131901023296983529943256436358975632384450990161007373429969287150120183629604621137988652660563817885814991234553171968285503928971923494713184024397815565050453129366959581261294050179855756971513553770975645306761739585540285537674735854849875445770272658297939944882752192191095624885231805821920174749042804120360794115234543959125238837371907969813629769476236343187303726023111732561}
30925 4768331877914409924760299020776784190154752356838503720214717753376511694929350557913821: {1020063,1514639,2163770,2596524,2687691,3091100,3709320,3798363,3956608,4172985,4451184,4908171,5007582,6571263,7630571,7678911,7998179,9411995,9947546,10156559,10335755,10444251,11294394,11425970,12182195,12402906,12445043,12744767,12913274,13654706,13711164,13755531,14210780,14469119,14509370,14601983,14618634,15870755,16454243,17052936,17053967,17255771,17411244,18206810,19044906,19184553,19206467,19417859,20311802,20670170,20702363,21060842,21261851,21392795,21451611,21700907,21787619,21848172,22011023,23095263,23107964,23284274,23507267,23664251,24148955,24362810,24464843,24765323,24804204,25066955,25671354,26989994,27437810,27557087,27845642,28466243,28978746,29016860,29202074,29235372,29266211,29518979,29651555,30080346,30519551,31068971,31125170,32870152,32881739,32906354,32925372,33111707,33264491,33581810,34227155,34820232,35089311,35127899,35581866,35981594,36978921,37168684,37350204,38473691,38833202,39172761,39214163,39258047,39404156,39424863,40047194,40298172,41072586,41081999,41124383,41181914,41253251,41402042,41403347,41529395,41767336,42169970,42235019,42440555,43269923,43351355,43647851,44019194,44022525,44824863,45354239,46151882,46957360,46988253,47325434,48173642,48297884,48730346,49194467,49312682,49527434,49835274,50603964,50671763,50928666,51097343,51752099,51761891,52021626,52111547,52420043,52696924,52827030,53098120,53117339,53609416,53632499,54372683,54490431,55144005,55159139,55597106,55606811,55687676,56064755,56293754,56348832,56780987,56928794,57021311,57712067,58200074,58688570,58820272,59296971,59395804,59587931,59735385,59900747,60262979,60281471,60310593,62133914,63039004,63392436,63717744,64791770,65147871,65647625,65931260,66172806,66265485,66456179,66704186,67277706,67299707,68857563,69614780,69813194,70251242,70259291,70277810,70426284,70601747,70683184,70879816,71261663,71682462,71798325,72732076,73084251,73368434,73865594,73931570,74332552,75281320,76584880,76794767,76942394,77750124,77822751,78423242,78499113,78777150,78798770,78953219,79117512,79454531,79518582,79739793,80089196,80904434,80956259,81019967,82020063,82358492,82445810,83130467,83537736,83624121,83698972,83702474,84028960,84333372,84654299,84691485,85661219,85693946,86089970,86157990,86534234,87073067,87347267,88352339,88710842,88717884,88967411,89007201,89184328,89874659,90054707,90055720,90337584,91108595,91346783,91589512,91901856,91999955,92890955,93252242,93350939,93451325,93979953,94010331,94032645,94103834,94532580,94546979,94558524,94805234,94928325,95354303,95764067,96092243,96341036,96709451,97529642,98349311,98394205,98671071,98934972,99552525,...,19535853367935073287859543271152514957154852863197263167836171064161561276719186999017183284705546076663689003845807938228912669136537285723001230856974944820515521786149948552277421629265362676928985256428775843350716562150547427100790614558276329183546276177491517933694965731101832346562510833669010336534606756611572474297726216669032476000979597727278242703864999910111802223948964455913041623847273260064093647404063170214103479627155475479002144525844255258956580191025334407138273588577223335229439183477745721698687286114046474391772626441332599499072295694016734667747442776095757091713334792850802406945412979477523686673710347492421573215605323251238912919310292239403127248078932597433233136284668049182206922721822214563457428198001948868995648922043785063923643510944596940865103851526178562473662016046293797183420427700264882121024252797993679708386550308568049896140046837682819547106720839367717685411385517135906450960090337973845250675274348280201528770325098383065327785971653773299398889568160605764696945878055677625997213856975396131595765992784235362039752610225276851552035774035293942862289884557466905930193751239318253665770939790162791180877935208495515320290714014666951405683110486926834080200681480561323273858233451746363985351936791450104618689018292407483706621403882680734443421978795200113420538284844766969025043983883286915193274007677130916235263957955138073591076196242109891655011337116748193979918187797822851730830799697036126969436909853923887441226138662584879407290225355595894564089405546629800819507535573066460825111090351363593712600895234741184524980073587913045655744861227982462332821080810506318759342456285350008078826039555314240879928734161613135380445822856108475809533017076803705790774845505345022303357229804199008212778730866974938457423155396378925824149176268680770710305590656285599207265705566678858132375462469962725352857899474182845468489166741922951353797716834305627574801562301255494157292589953010697690225380045894713432520401581711822162602415564154447812707342863326123947291892171154542993554325686571562048638510494129904072351500074482778605757762228347097418537088028560478670828860006745441233747792541994027583482181856620081798578723322372838698271730604038691872304393651108235865141992093156584487068791303449766137511077139675993548135112443017035334424840991901590930128498436573974134828286535922911567817653358146945552102973910211072193810469617283002774914282635615180490870886579627110283354188874414832251336244077087857742753212287106932316053727565566941821726329122115102973391660200068984480625738422886118019132607717838830922728194084152176505403035257143971779256217449326343479416428267052849008615862758588817893562167040564415477479941551005300437173564224997143086932134400815308893275995216589117948627720967650032135204940289852688391039783551934602086753310436559463595032545639552253309511666849158075298111430061316127380700798089481458108620292576103755706647006788796560086680021876976473741705331439633638458434319892253676226163719637642316699578031083349092042585775420406754316258652596514472193015858652826391295324083793454214676226099626674398619051906234622260624122483828842792778200286616947575770298954581689370970547951487931509857541492443700153354449437808182777968880079481057621587438027783667067577845420531529460021465138256786862265914751745514932178922001066800871637200426424193997800035893440395298755228928206224884663286816995007754961548234241046593164749174499743399292820999839980335342275482578302121922027725411860713356328710114106869609403812441212371759740153777398585651150981398093007340258680520067988748416233831147490544617334400867267792670111580988905435343711642418053303590450615342266897196208195520426792887538558861268728232657926955071397225372131502658877800884658044298166212718966651243147453431498438985956206295486486311241416657633588619426107547537707756190669453585010518997144688973385298755746647634312669797913220998401865957870277711655011777153253977468224640163205026241715530958656132670507526102515488656768782397955118616869473322165697323199772260704292076704703852516009552373070318854076642649930831791755531149739679972011103440765426920395365352515001595803762726283196938248054727836085724117060552493490952595474433757640360727554868243510783038564200073530406577388582217380367252576967369871087197103973219241645803326279396487418559878835199571111808942184127866941314100611239923035586085223304620195509964332465811941128149577548890116263892175868031062644706591008581811967509845934653548009831239959049533493578172806161517318203547418423847753321646070895957714005238629231326284245365863754086733937505822612775015058733573141009295351405027967527075682319447387047383566314473133167261027030211063919926510336256254794166513642407762560232998723738827147725486979391945500318449829210626418173025968315124249738301364148976748}
30926 4782918010210897090023765062883170831275908969609362483418905090285883782303979572731055: {803686,1360084,1915366,2067553,2252269,2655766,2990413,3245655,3272326,3359053,3462032,3583588,3863875,3894786,4381126,4504246,4636650,4945760,5014369,5064484,5119606,5563980,5934912,6114673,6544228,6594838,6676776,6846769,7029613,7511373,8489773,8671969,8761684,9293446,10238548,10272838,10671373,11215153,11396269,12106438,12120013,12481453,12960886,13203469,13924333,13925668,13936438,14921319,15059192,15183073,15900769,16127686,16537208,16941591,17138955,17221366,17763475,17949766,18281552,18340708,18403633,18581869,18604359,18760033,19369911,19491512,20252566,20360269,20482059,20566746,21220438,21316170,21764055,21927951,22308193,22428838,22737248,22837933,23214992,23719393,24774769,24950413,25393208,25579404,26116866,26284966,26405206,27310215,27846838,28099693,28567359,28602148,28761383,28884955,28970353,29130896,30186253,30467703,30793684,31005255,31591263,31679926,31744369,32607469,32772258,33072272,33468769,33828838,34228472,34661946,34926411,35020438,36271075,36448246,36544215,36546419,37206306,37398838,38229766,38428813,38507031,38638328,38980496,39277873,39533926,40107128,40484991,41087690,41118583,41156715,41308273,41309206,41768463,42372646,42824269,43468119,43525290,43663969,43803111,43831693,43853058,43900496,43906438,44848966,45120519,45337969,46338913,46426976,46460855,46687755,46785748,46908239,47435638,47442488,48498733,48843286,49255195,49305228,49359531,49388058,49429126,49780438,49800272,50372715,50975713,51140269,51301126,51304753,51467738,52126093,52209170,52230348,52566484,52702438,53372799,53730896,53972391,54253153,54683686,54763448,55753026,56025306,56428006,57663469,57825073,58249803,58309453,58516438,58696700,59106234,59674438,59766484,60070791,60079969,60240493,60372355,60447258,60881869,61522093,61608879,61772871,61847786,62019839,62103063,62651004,62793046,63254955,63276769,63369286,64230193,64865638,65022733,65040983,65095606,65871155,66028791,66372650,66447032,67011770,67074913,67471952,67860973,67904888,68174893,69224086,69227823,69362168,69609595,69681526,70436040,70988151,71394646,72074593,72260463,72446826,72653908,73095519,73525340,73969023,74084653,74244755,74291151,74752911,74854513,75131776,75905946,76058806,76388833,76392999,76512406,78032439,78036287,78798755,78828769,79045386,79062628,79240545,79647180,80140823,80193133,80414124,82414075,83395659,83531514,83959846,84440631,84523248,84956992,85393191,85530646,85740913,85941823,86483053,86650726,86863828,87018475,87210166,87300111,87545638,87763802,87814369,87951479,88032855,88230408,88353980,88404193,88599770,89093706,89196023,89433613,89555446,89703608,90020269,90915095,91810084,92209969,92213639,92915690,93200871,93670438,93901712,94101650,94557286,94558506,95000326,95088654,95248333,95332438,95576616,95731100,95885638,95967073,96397453,96684013,97187655,97399153,97445668,98170699,98896890,98976166,99158891,99259209,99391969,...,29303780051902609931789314906728772435732279294795894751754256596242341915078780498525774927058319114995533505768711907343369003704805928584501846285462417230773282679224922828416132443898044015393477884643163765026074843225821140651185921837414493775319414266237276900542448596652748519843766250503515504801910134917358711446589325003548714001469396590917364055797499865167703335923446683869562435770909890096140471106094755321155219440733213218503216788766382888434870286538001610707410382865835002844158775216618582548030929171069711587658939661998899248608443541025102001621164164143635637570002189276203610418119469216285530010565521238632359823407984876858369378965438359104690872118398896149849704427002073773310384082733321845186142297002923303493473383065677595885465266416895411297655777289267843710493024069440695775130641550397323181536379196990519562579825462852074844210070256524229320660081259051576528117078275703859676440135506960767876012911522420302293155487647574597991678957480659949098334352240908647045418817083516438995820785463094197393648989176353043059628915337915277328053661052940914293434826836200358895290626858977380498656409685244186771316902812743272980436071022000427108524665730390251120301022220841984910787350177619545978027905187175156928033527438611225559932105824021101665132968192800170130807427267150453537565975824930372789911011515696374352895936932707110386614294363164837482517005675122290969877281696734277596246199545554190454155364780885831161839207993877319110935338033393841846134108319944701229261303359599691237666635527045390568901342852111776787470110381869568483617291841973693499231621215759478139013684428025012118239059332971361319893101242419703070668734284162713714299525615205558686162268258017533455035844706298512319168096300462407686134733094568388736223764403021156065458385984428398810898558350018287198563193704944088029286849211274268202733750112884427030696575251458441362202343451883241235938884929516046535338070068842070148780602372567733243903623346231671719061014294989185920937838256731814490331488529857343072957765741194856108527250111724167908636643342520646127805632042840718006243290010118161850621688812991041375223272784930122697868084983559258047407595906058037808456590476662353797712988139734876730603186955174649206266615709513990322202668664525553001637261487852386395192747654860961202242429803884367351726480037220418328154460865316608290715704425924504162371423953422770736306329869440665425031283311622248377004366115631786614129818430660398474080591348350412732589493683172654460087490300103476720938607634329177028698911576758246384092291126228264758104552885715957668884326173989515219124642400579273512923794137883226840343250560846623216219912326507950655760346337495714630398201601222963339913992824883676922941581451475048202807410434779032586559675327901903130129965654839195392548818459328379964267500273737112947167145091974191071051197134222187162930438864155633559970510183194840130020032815464710612557997159450457687651479838380514339245579456463475049367046625023638063878663130610131474387978894771708289523787979239586942986125690181322014339149440011597928577859351933390936183725743264189167300429925421363655448431872534056455821927231897264786312238665550230031674156712274166953320119221586432381157041675500601366768130797294190032197707385180293398872127618272398268383001600201307455800639636290996700053840160592948132843392309337326994930225492511632442322351361569889747123761749615098939231499759970503013413223867453182883041588117791070034493065171160304414105718661818557639610230666097878476726472097139511010388020780101983122624350746721235816926001601300901689005167371483358153015567463627079955385675923013400345794312293280640189331307838291903092348986890432607095838058197253988316701326987066447249319078449976864721180147247658478934309443229729466862124986450382929139161321306561634286004180377515778495717033460077948133619971451469004696869831497602798936805416567482517665729880966202336960244807539362573296437984199005761289153773232985153173596932677925304209983248545984799658391056438115057055778774014328559605478281114963974896247687633296724609519958016655161148140380593048028772502393705644089424795407372082091754128586175590828740236428893211650636460541091332302365266174557846300110295609866082873326070550878865451054806630795655959828862468704989419094731127839818252799356667713413276191800411971150916859884553379127834956930293264946498698717911692224366323335174395838263802046593967059886512872717951264768901980322014746859938574300240367259209242275977305321127635771629982469106343936571007857943846989426368048795631130100906258733919162522588100359711513943027107541951290613523479171080571075349471709699750891540545316595879889765504384382191249770463611643840349498085608240721588230469087918250477674743815939627259538952472686374607452046223465122}
30927 4797548504487469453048076285663197081277062371238673619815757067890501031711201463122921: {1205529,1700105,2040126,2873049,3029278,3983649,4327540,4479485,4908489,5193048,5375382,5842179,6182200,6330605,6571689,6756369,6954975,7418640,7596726,7679409,7815929,7913216,8180285,8345970,8902368,8928077,9816342,9892257,10015164,10952105,12798185,13142526,13176793,13940169,14470057,15224333,15261142,15357822,15409257,15959273,15996358,16336049,17055073,17256889,17407085,18159657,18823990,19441329,19895092,20313118,20671510,20888502,20904657,21515693,21702313,22219057,22588788,22851940,22925885,24191529,24364390,24466429,24805812,24890086,25489534,25826548,25832049,25960829,26924649,27309412,27422328,27511062,28421560,28938238,29018740,29203966,29237268,29268109,29949913,30378849,30850119,30943553,31741510,31830657,31974255,32908486,33643257,33808537,34105872,34107934,34511542,34822488,35093737,35395273,35752685,36262193,36413620,37222673,37607369,38089812,38288129,38369106,38412934,38492105,38835718,38860237,39175299,39260593,39427449,39607809,40623604,41127049,41340340,41404726,41512177,41770257,42049913,42121684,42237757,42523702,42785590,42903222,43401814,43575238,43696344,44022046,46190526,46215928,46274329,46568548,47014534,47328502,47519889,47918017,48297910,48725620,48929686,49158387,49530646,49608408,50133910,50743257,51342708,51992919,52530657,52765529,52899053,53979988,54672369,54875620,55114174,55691284,55809459,56030657,56098257,56932486,57025009,57344649,57957492,58033720,58141153,58404148,58470744,58482185,58532422,59037958,59300889,59303110,59416777,59426753,60160692,60387769,60691897,61039102,61631535,61963809,62137942,62250340,62775037,63558969,64031833,65287935,65708105,65740304,65763478,65779587,65812708,65850744,65859657,66223414,66528982,67163620,67273449,68454310,69581053,69640464,70178622,70255798,71153457,71163732,71555369,71670317,71963188,73264929,73370875,73957842,74082087,74143689,74274553,74337368,74670657,74700408,74708105,75470833,76630433,76947382,76951689,77201607,77666404,78313755,78345522,78428326,78490657,78516094,78808312,78849726,79053657,79518029,80094388,80596344,80649833,82025529,82145172,82163998,82248766,82363828,82506502,82804084,82806694,83058790,83236717,83534672,83629539,84037959,84218329,84339940,84470038,84642009,84881110,86539846,86702710,87295702,87774657,88038388,88045050,88241833,88659351,88783777,89511657,89649726,90670887,90708478,90817385,91906675,92303764,92719049,92771679,93914720,93976506,94189569,94650868,95053929,96347284,96595768,97298457,97460692,97643409,98388934,98625364,98828285,99054868,99558975,99670548,...,43955670077853914897683972360093158653598418942193842127631384894363512872618170747788662390587478672493300258653067861015053505557208892876752769428193625846159924018837384242624198665847066023090216826964745647539112264838731710976778882756121740662979121399355915350813672894979122779765649375755273257202865202376038067169883987505323071002204094886376046083696249797751555003885170025804343653656364835144210706659142132981732829161099819827754825183149574332652305429807002416061115574298752504266238162824927873822046393756604567381488409492998348872912665311537653002431746246215453456355003283914305415627179203824428295015848281857948539735111977315287554068448157538657036308177598344224774556640503110659965576124099982767779213445504384955240210074598516393828197899625343116946483665933901765565739536104161043662695962325595984772304568795485779343869738194278112266315105384786343980990121888577364792175617413555789514660203260441151814019367283630453439733231471361896987518436220989923647501528361362970568128225625274658493731178194641296090473483764529564589443373006872915992080491579411371440152240254300538342935940288466070747984614527866280156975354219114909470654106533000640662786998595585376680451533331262977366181025266429318967041857780762735392050291157916838339898158736031652497699452289200255196211140900725680306348963737395559184866517273544561529343905399060665579921441544747256223775508512683436454815922545101416394369299318331285681233047171328746742758811990815978666403007050090762769201162479917051843891955039399536856499953290568085853352014278167665181205165572804352725425937762960540248847431823639217208520526642037518177358588999457041979839651863629554606003101426244070571449288422808338029243402387026300182553767059447768478752144450693611529202099641852583104335646604531734098187578976642598216347837525027430797844790557416132043930273816911402304100625169326640546044862877187662043303515177824861853908327394274069803007105103263105223170903558851599865855435019347507578591521442483778881406757385097721735497232794786014609436648611792284162790875167586251862954965013780969191708448064261077009364935015177242775932533219486562062834909177395184046802127475338887071111393859087056712684885714993530696569482209602315095904780432761973809399923564270985483304002996788329502455892231778579592789121482291441803363644705826551027589720055830627492231691297974912436073556638886756243557135930134156104459494804160998137546924967433372565506549173447679921194727645990597711120887022525619098884240524758981690131235450155215081407911451493765543048367365137369576138436689342397137156829328573936503326489260984272828686963600868910269385691206824840260514875841269934824329868489761925983640519506243571945597302401834445009870989237325515384412372177212572304211115652168548879839512991852854695194948482258793088823227688992569946401250410605669420750717637961286606576795701333280744395658296233450339955765274792260195030049223197065918836995739175686531477219757570771508868369184695212574050569937535457095817994695915197211581968342157562434285681968859380414479188535271983021508724160017396892866789027900086404275588614896283750950644888132045483172647808801084683732890847845897179468357998325345047511235068411250429980178832379648571735562513250902050152196195941285048296561077770440098308191427408597402574502400301961183700959454436495050080760240889422199265088464005990492395338238767448663483527042354834620685642624422648408847249639955754520119835801179774324562382176686605051739597756740456621158577992727836459415345999146817715089708145709266515582031170152974683936526120081853725389002401951352533507751057225037229523351195440619933078513884520100518691468439920960283996961757437854638523480335648910643757087295880982475051990480599670873978617674965297081770220871487718401464164844594200293187479675574393708741981959842451429006270566273667743575550190116922200429957177203507045304747246404198405208124851223776498594821449303505440367211309043859944656976298508641933730659849477729760395399016887956314974872818977199487586584657172585583668161021492839408217421672445962344371531449945086914279937024982741722210570889572043158753590558466134137193111058123137631192879263386243110354643339817475954690811636998453547899261836769450165443414799124309989105826318298176582209946193483939743293703057484128642096691759727379199035001570119914287700617956726375289826830068691752435395439897419748048076867538336549485002761593757395703069890950589829769309076926897153352970483022120289907861450360550888813863413965957981691453657444973703659515904856511786915770484139552073193446695151359388100878743783882150539567270914540661312926935920285218756620856613024207564549626337310817974893819834648256576573286874655695417465760524247128412361082382345703631877375716512115723909440889308428709029561911178069335197683}
30928 4812223494889842273689639817643723395765408491884322589408281212711208781454108582465282: {525487,1451407,1607372,1821271,2720168,2744671,3060189,3830732,4135106,4504538,4543917,5311532,5409425,5980826,6491310,6544652,6718106,6924064,7167176,7334671,7699927,7727750,7789572,7882447,8063073,8762252,9008492,9273300,9891520,10028738,10128968,10239212,11127960,11395089,11869824,11879671,12229346,12518955,12783271,13088456,13144207,13189676,13353552,13693538,14045287,14059226,14585071,14724513,15022746,16979546,17343938,17523368,17810167,18586892,19713789,19947271,20477096,20545676,21342746,22430306,22792538,22891713,23036733,23994537,24212876,24240026,24366271,24868865,24962906,25244671,25770847,25921772,26406938,26471407,27848666,27851336,27872876,28235985,28564925,29842638,30118384,30366146,30469677,31007265,31332753,31343071,31688887,31801538,32255372,32283185,32552167,33069271,33074416,33883182,34136765,34277910,34442732,35302567,35526950,35899532,36273425,36546585,36563104,36681416,36807266,37163738,37208718,37335129,37353271,37520066,38234301,38739822,38983024,40240687,40438937,40505132,40720538,40964118,41133492,41266593,42097927,42440876,42632340,43407357,43528110,43805949,43855902,44114071,44616386,44857676,45474496,45517025,45675866,46429984,46952527,47438786,47612265,48594689,49362729,49549538,49605007,49900826,50265247,50779505,50786416,51158808,51161901,51675425,51767313,52233732,52569932,52652105,52810412,54620430,55180327,55343047,55693676,56199386,56480071,57134718,57204296,57290071,57522766,57553659,57619401,57769910,57940706,58210685,58253577,58261792,58582327,59709271,60372506,60832687,60907025,60935406,61587368,62010510,62107089,63182526,63359852,63488738,63785553,64178385,64354833,64974487,65045197,65102721,65214938,65362857,65544516,65765407,66033069,66081271,66144544,66937538,67341847,67474985,67657676,67970407,68456944,68594525,68754487,68957273,69285789,69323892,69614105,69852822,70040876,70521801,70992753,72446865,72542150,72896492,73005185,73088430,73092838,73112071,73394529,73884271,74192647,74295969,74412612,74797676,75200865,76190071,76459532,76857626,77014062,77276656,77812925,77960992,78175327,78555746,79067852,79239271,80214256,80969982,81205807,81507271,81958927,82175380,82237166,82265885,82313430,82616546,82618412,82671261,83536926,83954525,84058087,84521297,84745292,85398729,85648538,86736271,86936238,87050580,87180367,87327938,87606222,87663386,87706116,87798633,87800992,87812876,88508767,88556937,88954665,89697932,89953985,90241038,90675938,91558653,92219617,92313607,92677826,92853952,92921710,93206913,93329671,93375510,93571496,93816478,94775071,94871276,94884976,95782567,96997466,97083005,97453433,97686572,98510390,98610456,98645217,98719062,98776116,98858252,99335121,99560876,99600544,99793473,...,58607560103805219863578629813457544871464558589591789503508513192484683830157560997051549854116638229991067011537423814686738007409611857169003692570924834461546565358449845656832264887796088030786955769286327530052149686451642281302371843674828987550638828532474553801084897193305497039687532501007031009603820269834717422893178650007097428002938793181834728111594999730335406671846893367739124871541819780192280942212189510642310438881466426437006433577532765776869740573076003221414820765731670005688317550433237165096061858342139423175317879323997798497216887082050204003242328328287271275140004378552407220836238938432571060021131042477264719646815969753716738757930876718209381744236797792299699408854004147546620768165466643690372284594005846606986946766131355191770930532833790822595311554578535687420986048138881391550261283100794646363072758393981039125159650925704149688420140513048458641320162518103153056234156551407719352880271013921535752025823044840604586310975295149195983357914961319898196668704481817294090837634167032877991641570926188394787297978352706086119257830675830554656107322105881828586869653672400717790581253717954760997312819370488373542633805625486545960872142044000854217049331460780502240602044441683969821574700355239091956055810374350313856067054877222451119864211648042203330265936385600340261614854534300907075131951649860745579822023031392748705791873865414220773228588726329674965034011350244581939754563393468555192492399091108380908310729561771662323678415987754638221870676066787683692268216639889402458522606719199382475333271054090781137802685704223553574940220763739136967234583683947386998463242431518956278027368856050024236478118665942722639786202484839406141337468568325427428599051230411117372324536516035066910071689412597024638336192600924815372269466189136777472447528806042312130916771968856797621797116700036574397126387409888176058573698422548536405467500225768854061393150502916882724404686903766482471877769859032093070676140137684140297561204745135466487807246692463343438122028589978371841875676513463628980662977059714686145915531482389712217054500223448335817273286685041292255611264085681436012486580020236323701243377625982082750446545569860245395736169967118516094815191812116075616913180953324707595425976279469753461206373910349298412533231419027980644405337329051106003274522975704772790385495309721922404484859607768734703452960074440836656308921730633216581431408851849008324742847906845541472612659738881330850062566623244496754008732231263573228259636861320796948161182696700825465178987366345308920174980600206953441877215268658354057397823153516492768184582252456529516209105771431915337768652347979030438249284801158547025847588275766453680686501121693246432439824653015901311520692674991429260796403202445926679827985649767353845883162902950096405614820869558065173119350655803806260259931309678390785097636918656759928535000547474225894334290183948382142102394268444374325860877728311267119941020366389680260040065630929421225115994318900915375302959676761028678491158912926950098734093250047276127757326261220262948775957789543416579047575958479173885972251380362644028678298880023195857155718703866781872367451486528378334600859850842727310896863745068112911643854463794529572624477331100460063348313424548333906640238443172864762314083351001202733536261594588380064395414770360586797744255236544796536766003200402614911601279272581993400107680321185896265686784618674653989860450985023264884644702723139779494247523499230197878462999519941006026826447734906365766083176235582140068986130342320608828211437323637115279220461332195756953452944194279022020776041560203966245248701493442471633852003202601803378010334742966716306031134927254159910771351846026800691588624586561280378662615676583806184697973780865214191676116394507976633402653974132894498638156899953729442360294495316957868618886459458933724249972900765858278322642613123268572008360755031556991434066920155896267239942902938009393739662995205597873610833134965035331459761932404673920489615078725146592875968398011522578307546465970306347193865355850608419966497091969599316782112876230114111557548028657119210956562229927949792495375266593449219039916033310322296280761186096057545004787411288178849590814744164183508257172351181657480472857786423301272921082182664604730532349115692600220591219732165746652141101757730902109613261591311919657724937409978838189462255679636505598713335426826552383600823942301833719769106758255669913860586529892997397435823384448732646670348791676527604093187934119773025745435902529537803960644029493719877148600480734518418484551954610642255271543259964938212687873142015715887693978852736097591262260201812517467838325045176200719423027886054215083902581227046958342161142150698943419399501783081090633191759779531008768764382499540927223287680698996171216481443176460938175836500955349487631879254519077904945372749214904092446930244}
30929 4826943115967037917567086570320045501141568564603905635817871061868265384455047748015257: {2009215,2380147,2411058,3400210,4080252,4788415,5746098,6058556,6202659,6271279,6639415,6756807,7967298,8180815,8655080,8862847,8958970,8971239,9237007,9736965,9816978,9978439,10077159,10386096,10750764,10952815,11260615,11452399,11591625,11684358,12364400,12568567,12661210,12799015,13143378,13512738,13909950,14837280,15043107,15193452,15332947,15358818,15631858,15826432,15960307,16274287,16360570,16487095,16691940,17015431,17804736,17856154,17917459,18344019,18860959,19632684,19784514,20027491,20030328,20540307,21088839,21517087,21904210,22534119,22565239,22737187,23233615,24046951,24369919,25469319,25596370,25682095,25962511,26015907,26269519,26285052,26353586,26799091,27751231,27803959,27880338,28940114,30181591,30266095,30448666,30522284,30715644,30818514,30945559,31918546,31992487,31992716,32014119,32096239,32402215,32672098,33358579,33645459,34110146,34188807,34237687,34513778,34583971,34814170,34841095,36319314,36360039,36691351,36939991,37225087,37444359,37609807,37647980,38271199,38882658,39610407,39790184,40319215,40626236,41343020,41601811,41772999,41777004,41809314,42052639,42855319,43031386,43053415,43404626,43499719,44438114,44763957,44874415,44949907,45177576,45249607,45549219,45703880,45851770,46386967,46800967,47522899,47702307,48383058,48728780,48932858,49611624,49780172,50053759,50631415,50824773,50979068,51416865,51653096,51664098,51921658,52768951,53051095,53290425,53849298,53888947,53946559,54554191,54618824,54844656,55022124,55210899,55745607,55813077,56072095,56280099,56404531,56843120,57077959,57876476,58037480,58109733,58407932,58474536,58536218,59122471,59430607,59899826,60475279,60757698,61080807,61446177,61700238,61887106,62325619,62622499,63082399,63476911,63483020,63661314,63948510,64557427,65292165,65712415,65783853,65816972,66013015,66924579,67286514,67617074,68211744,68215868,68513799,68549287,68734879,69023084,69617095,69644976,70187474,70790546,71158179,71270947,71505370,72524386,72716599,72827240,72972307,74176519,74324307,74445346,74575351,74851239,75214738,76179624,76576258,76738212,76795039,76825868,76984210,77305591,77671436,77720474,77922679,78350598,78521186,78854898,79199815,79215618,80102119,81247208,81324727,81875059,81930645,82254098,82680680,82809452,83024354,83540514,84099826,84243368,84299079,84475514,84572095,85002031,85047404,85571180,85702077,85806444,86284149,86648839,86654865,86678647,86803628,86911059,87150476,87392688,87551095,88044092,89708287,90558759,90563239,90690391,91120615,91403109,91991347,92381052,92431856,92548658,93015765,93137096,93497095,94029068,94614439,94657004,94698967,94773789,95039778,95233107,95313439,95574415,95836034,96364759,96595820,97451240,97822407,97859372,98316774,98834815,99061292,99216816,99790351,...,87911340155707829795367944720186317307196837884387684255262769788727025745236341495577324781174957344986600517306135722030107011114417785753505538856387251692319848037674768485248397331694132046180433653929491295078224529677463421953557765512243481325958242798711830701627345789958245559531298751510546514405730404752076134339767975010646142004408189772752092167392499595503110007770340051608687307312729670288421413318284265963465658322199639655509650366299148665304610859614004832122231148597505008532476325649855747644092787513209134762976818985996697745825330623075306004863492492430906912710006567828610831254358407648856590031696563715897079470223954630575108136896315077314072616355196688449549113281006221319931152248199965535558426891008769910480420149197032787656395799250686233892967331867803531131479072208322087325391924651191969544609137590971558687739476388556224532630210769572687961980243777154729584351234827111579029320406520882303628038734567260906879466462942723793975036872441979847295003056722725941136256451250549316987462356389282592180946967529059129178886746013745831984160983158822742880304480508601076685871880576932141495969229055732560313950708438229818941308213066001281325573997191170753360903066662525954732362050532858637934083715561525470784100582315833676679796317472063304995398904578400510392422281801451360612697927474791118369733034547089123058687810798121331159842883089494512447551017025366872909631845090202832788738598636662571362466094342657493485517623981631957332806014100181525538402324959834103687783910078799073712999906581136171706704028556335330362410331145608705450851875525921080497694863647278434417041053284075036354717177998914083959679303727259109212006202852488141142898576845616676058486804774052600365107534118895536957504288901387223058404199283705166208671293209063468196375157953285196432695675050054861595689581114832264087860547633822804608201250338653281092089725754375324086607030355649723707816654788548139606014210206526210446341807117703199731710870038695015157183042884967557762813514770195443470994465589572029218873297223584568325581750335172503725909930027561938383416896128522154018729870030354485551865066438973124125669818354790368093604254950677774142222787718174113425369771429987061393138964419204630191809560865523947618799847128541970966608005993576659004911784463557159185578242964582883606727289411653102055179440111661254984463382595949824872147113277773512487114271860268312208918989608321996275093849934866745131013098346895359842389455291981195422241774045051238197768481049517963380262470900310430162815822902987531086096734730274739152276873378684794274313658657147873006652978521968545657373927201737820538771382413649680521029751682539869648659736979523851967281039012487143891194604803668890019741978474651030768824744354425144608422231304337097759679025983705709390389896964517586177646455377985139892802500821211338841501435275922573213153591402666561488791316592466900679911530549584520390060098446394131837673991478351373062954439515141543017736738369390425148101139875070914191635989391830394423163936684315124868571363937718760828958377070543966043017448320034793785733578055800172808551177229792567501901289776264090966345295617602169367465781695691794358936715996650690095022470136822500859960357664759297143471125026501804100304392391882570096593122155540880196616382854817194805149004800603922367401918908872990100161520481778844398530176928011980984790676477534897326967054084709669241371285248845296817694499279911509040239671602359548649124764353373210103479195513480913242317155985455672918830691998293635430179416291418533031164062340305949367873052240163707450778004803902705067015502114450074459046702390881239866157027769040201037382936879841920567993923514875709277046960671297821287514174591761964950103980961199341747957235349930594163540441742975436802928329689188400586374959351148787417483963919684902858012541132547335487151100380233844400859914354407014090609494492808396810416249702447552997189642898607010880734422618087719889313952597017283867461319698955459520790798033775912629949745637954398975173169314345171167336322042985678816434843344891924688743062899890173828559874049965483444421141779144086317507181116932268274386222116246275262385758526772486220709286679634951909381623273996907095798523673538900330886829598248619978211652636596353164419892386967879486587406114968257284193383519454758398070003140239828575401235913452750579653660137383504870790879794839496096153735076673098970005523187514791406139781901179659538618153853794306705940966044240579815722900721101777627726827931915963382907314889947407319031809713023573831540968279104146386893390302718776201757487567764301079134541829081322625853871840570437513241713226048415129099252674621635949787639669296513153146573749311390834931521048494256824722164764691407263754751433024231447818881778616857418059123822356138670395366}
30930 4841707502672591408965179802395576557997207621842647860687111762318551254568338871022299: {587309,1050974,1143041,1821389,1883009,2190989,2437229,2744849,2902814,3113729,3214744,3482321,3616587,3642542,3911981,4586369,4831361,5100315,5137421,5320961,5440336,5489342,6120378,6847661,6969581,7152401,7396049,7573195,7661464,8247809,8270212,8612369,8619147,8976641,9009076,9087834,10309841,10623064,10793681,10818850,11397761,11950947,11961652,12242129,12844289,12982620,13089304,13205201,13385549,13436212,13438455,13848128,14046209,14106221,14334352,14669342,14725467,15185069,15304781,15399854,15455500,15579144,15764894,16126146,16440449,17096621,17524504,17526537,18016984,18406061,18546600,18703121,18991815,19715067,19783040,19948589,20007809,20057476,20257936,20269107,20478424,20481281,20864925,21721709,21957581,22134401,22255920,22428941,22790178,22958609,23038227,23193809,23447787,23739648,23759342,24016001,24426509,24458692,24540855,24719489,24895181,25037910,25246349,25566542,25830989,26176912,26288414,26379352,26531501,26707104,26784231,27387076,27580109,28090574,28118452,28219649,28393901,29090189,29170142,29437901,29449026,29676771,30045492,30190289,30305921,31345169,31402829,31748621,32611841,32726801,32856315,33959092,34687876,34816411,34847789,35046736,35620334,36046721,37173784,37355789,38152855,38207249,38394555,38434001,38547329,39056909,39427578,39530379,39894542,39990895,40243409,40954192,41091352,41313869,41820507,42156929,42661901,42685492,43410171,43781741,43949441,44860612,45009869,45196459,45344141,45585076,45672999,45783426,46011821,46073466,46227771,46456301,46844801,47059975,47454509,47675981,47791471,47877819,47989074,48425752,48480052,48732542,49008147,49663469,49737730,49925812,49938689,50268689,50323661,50489342,50782795,51165219,51541694,51678775,51770667,51804881,51843544,51969101,52221255,52461329,52813876,52942814,54260621,54369389,54478971,55346861,55509521,55697332,55702672,55745752,56471970,56538029,57129850,57430087,57779201,57940781,58323987,58640129,59552621,59685276,60195341,60236768,60732292,60890321,60910975,60939354,61530641,61637249,62014530,62225215,62648429,62665506,62686142,62713971,63377774,63391661,63603076,63723835,64344941,64510744,64547079,64566370,64979021,65031809,65104334,65106939,65137361,65348369,65506541,66085889,66138509,66138542,66148832,66657171,66716801,66874349,67189229,67346561,67713389,67766364,67975169,68027501,68184449,68273530,68289041,68555820,68777655,68885464,68915921,69437441,70218221,70605134,71053900,71091307,71619089,71799064,72188141,72345595,72546850,72574587,73009915,73093170,73117229,73126208,73362832,73399287,73614532,73712947,74197889,74327476,74417436,74506001,74670258,74706542,74865101,75040132,76468602,76501709,76705709,76960529,77469569,77479644,77496147,77882487,77927021,77966048,79244909,79353775,79598801,79851341,80305409,80481374,80758829,80773947,80877874,81010264,81362381,81441076,81494959,81928236,82266984,82271215,82533186,82866221,83016209,84064109,84195854,84711041,84881752,85264680,85269835,85753229,85852301,86278855,86791889,86814714,87056220,87186641,87611898,87711804,87804327,87827021,87925421,88228142,88269569,88416941,88515149,89232772,89446529,89715352,89849739,90130961,90948992,91034050,91136547,91154669,91351732,91495121,91640909,92320301,92550357,92830659,92859968,93336449,93384749,93905054,94464979,94781969,94877572,95224530,95491971,95922765,95981069,96032335,96793601,97089295,97189378,97459747,98221841,98725458,99099076,99122669,99210014,99784589,99801652,...,131867010233561744693051917080279475960795256826581526382894154683090538617854512243365987171762436017479900775959203583045160516671626678630258308284580877538479772056512152727872595997541198069270650480894236942617336794516195132930336648268365221988937364198067746052441018684937368339296948127265819771608595607128114201509651962515969213006612284659128138251088749393254665011655510077413030960969094505432632119977426398945198487483299459483264475549448722997956916289421007248183346722896257512798714488474783621466139181269813702144465228478995046618737995934612959007295238738646360369065009851742916246881537611473284885047544845573845619205335931945862662205344472615971108924532795032674323669921509331979896728372299948303337640336513154865720630223795549181484593698876029350839450997801705296697218608312483130988087886976787954316913706386457338031609214582834336798945316154359031942970365665732094376526852240667368543980609781323455442058101850891360319199694414085690962555308662969770942504585084088911704384676875823975481193534583923888271420451293588693768330119020618747976241474738234114320456720762901615028807820865398212243953843583598840470926062657344728411962319599001921988360995786756130041354599993788932098543075799287956901125573342288206176150873473750515019694476208094957493098356867600765588633422702177040919046891212186677554599551820633684588031716197181996739764324634241768671326525538050309364447767635304249183107897954993857043699141513986240228276435972447935999209021150272288307603487439751155531675865118198610569499859871704257560056042834502995543615496718413058176277813288881620746542295470917651625561579926112554532075766998371125939518955590888663818009304278732211714347865268425014087730207161078900547661301178343305436256433352080834587606298925557749313006939813595202294562736929927794649043512575082292393534371672248396131790821450734206912301875507979921638134588631562986129910545533474585561724982182822209409021315309789315669512710676554799597566305058042522735774564327451336644220272155293165206491698384358043828309945835376852488372625502758755588864895041342907575125344192783231028094805045531728327797599658459686188504727532185552140406382426016661213334181577261170138054657144980592089708446628806945287714341298285921428199770692812956449912008990364988507367676695335738778367364446874325410090934117479653082769160167491882476695073893924737308220669916660268730671407790402468313378484412482994412640774902300117696519647520343039763584182937971793133362661067576857296652721574276945070393706350465645244223734354481296629145102095412108728415310068027191411470487985721809509979467782952818486060890802606730808157073620474520781544627523809804472989605469285777950921558518730715836791907205503335029612967711976546153237116531637716912633346956505646639518538975558564085584845446776379266469683066977709839203751231817008262252152913883859819730387103999842233186974888700351019867295824376780585090147669591197756510987217527059594431659272712314526605107554085637722151709812606371287453984087745591634745905026472687302857045906578141243437565605815949064526172480052190678600367083700259212826765844688851252851934664396136449517943426403254051198672543537691538405073994976035142533705205233751289940536497138945715206687539752706150456588587823855144889683233311320294924574282225792207723507200905883551102878363309485150242280722668266597795265392017971477186014716302345990450581127064503862056927873267945226541748919867263560359507403539322973687146530059815155218793270221369863475733978183509378246037997440453145269124437127799546746093510458924051809578360245561176167007205854057600523253171675111688570053586321859799235541653560301556074405319762880851990885272313563915570441006946731931271261887642947425155971441799012621935853024895891245310662614463155204392494533782600879562439026723181126225945879527354287018811698821003230726650570350766601289871531610521135914241739212595215624374553671329495784464347910516321101633927131579833970928895525925801191979548433189281186197050663868944924618456931598462759753971517756751004483064478518224652265017337887033114594349835260742839811074948225166631712668716129476260771675398402411579333174369412893578637790158729331063930019452427864072434910995360643697785510308350496330244397372929967317478954894529746629838580451819229881109172452385926290075279182137597105004710359742863101853870179125869480490206075257306186319692259244144230602615009648455008284781272187109209672851769489307927230780691460058911449066360869723584351081652666441590241897873945074360972334921110978547714569535360747311452418656219580340085454078164302636231351646451618701812743621983938780807760855656269862569839072622693648879011932453924681459503944769729719860623967086252397281572741385237083247147037110895632127149536347171728322667925286127088685733534208005593049}
30931 4856516790365759566568873776742805425071860926598143338193247071287669620534398063635878: {30931,1576461,2812901,4018430,4354221,4760294,4822116,5463813,6703781,6800420,8160504,8234013,9180567,9295181,9576830,10337765,11152373,11261345,11453141,11492196,12117112,12405318,12542558,13278830,13513614,13631751,14853761,14952065,15333941,15764861,15934596,16228275,16361630,16795265,17310160,17725694,17917940,17918621,17942478,18188909,18474014,18862181,19319375,19473930,19633956,19956878,20154318,20706389,20772192,21501528,21905630,22004013,22521230,22566701,22738661,22904798,23081933,23099781,23183250,23368716,23647341,23668853,24048509,24189219,24728800,25071845,25137134,25219973,25322420,25598030,26271221,26286756,26800829,26871221,27025476,27753029,27819900,29665109,29674560,30086214,30386904,30573365,30665894,30717636,31075013,31263716,31652864,31671653,31920614,31994561,32527061,32548574,32721140,32974190,33383880,34030862,34185267,34233845,34586213,34915661,35148065,35609472,35639013,35669153,35712308,35756309,35834918,35954933,36688038,37556865,37721918,38273681,38349813,38481173,39221789,39265368,39432621,39569028,40054982,40060656,40462721,41080614,41604509,42135861,42177678,42372533,42448865,42773693,43034174,43359845,43656353,43755213,43808420,44173539,44952821,45068238,45130478,45363101,45474374,46467230,46804001,47064149,47525981,48093902,48617333,48739838,48777533,49083941,50817233,50938638,51192740,51364190,51925022,52031814,52539038,52570104,52707172,53127701,53356865,53430501,53598182,54557729,54820961,55147301,55502462,55607918,55760676,56016293,56075765,56408189,56446901,56981345,57880228,58316549,59141367,59841813,60274781,60293213,60363182,60479201,60532190,60600065,60897332,61044568,61431288,61637028,61891118,62329661,62407265,62824181,63793013,63837092,63984974,63985432,64028238,64192478,64804430,65233421,65264993,65344196,66017345,66717158,67290918,67854629,68220292,68377614,68475374,68675139,69027556,69110199,69167942,69621665,69628340,69682190,70883981,71983611,72638628,72720078,73098813,73382702,73879982,74271533,74450174,74606595,74888718,75219614,75295960,75299741,75734013,75915365,76295141,76542398,76613909,77103329,77312541,77765316,78213173,78500933,78968621,79220814,79292141,79414221,79503845,79580368,80638430,81252472,81271493,82090433,82686040,83203622,83545998,83554008,83618628,84105278,84229301,84707955,85694775,85710638,86062772,86106830,86809252,86999438,87090053,88817375,88876228,89527914,89748830,89899814,89911301,90355152,90499214,91098438,91361153,91364669,91407760,91409031,91703540,91997381,92018165,92235281,92418221,92624621,92773934,92909345,93021795,93369221,93601934,93800165,93998259,94029213,94084301,95045798,95066661,95372981,95404614,96111041,96766116,96849555,97042733,97457560,97463933,97656501,97865716,99207813,99223248,99560344,99631361,...,175822680311415659590735889440372634614393675768775368510525539577454051490472682991154649562349914689973201034612271444060214022228835571507011077712774503384639696075349536970496794663388264092360867307858982590156449059354926843907115531024486962651916485597423661403254691579916491119062597503021093028811460809504152268679535950021292284008816379545504184334784999191006220015540680103217374614625459340576842826636568531926931316644399279311019300732598297330609221719228009664244462297195010017064952651299711495288185575026418269525953637971993395491650661246150612009726984984861813825420013135657221662508716815297713180063393127431794158940447909261150216273792630154628145232710393376899098226562012442639862304496399931071116853782017539820960840298394065575312791598501372467785934663735607062262958144416644174650783849302383939089218275181943117375478952777112449065260421539145375923960487554309459168702469654223158058640813041764607256077469134521813758932925885447587950073744883959694590006113445451882272512902501098633974924712778565184361893935058118258357773492027491663968321966317645485760608961017202153371743761153864282991938458111465120627901416876459637882616426132002562651147994382341506721806133325051909464724101065717275868167431123050941568201164631667353359592634944126609990797809156801020784844563602902721225395854949582236739466069094178246117375621596242662319685766178989024895102034050733745819263690180405665577477197273325142724932188685314986971035247963263914665612028200363051076804649919668207375567820157598147425999813162272343413408057112670660724820662291217410901703751051842160995389727294556868834082106568150072709434355997828167919358607454518218424012405704976282285797153691233352116973609548105200730215068237791073915008577802774446116808398567410332417342586418126936392750315906570392865391350100109723191379162229664528175721095267645609216402500677306562184179451508750648173214060711299447415633309577096279212028420413052420892683614235406399463421740077390030314366085769935115525627029540390886941988931179144058437746594447169136651163500670345007451819860055123876766833792257044308037459740060708971103730132877946248251339636709580736187208509901355548284445575436348226850739542859974122786277928838409260383619121731047895237599694257083941933216011987153318009823568927114318371156485929165767213454578823306204110358880223322509968926765191899649744294226555547024974228543720536624417837979216643992550187699869733490262026196693790719684778910583962390844483548090102476395536962099035926760524941800620860325631645805975062172193469460549478304553746757369588548627317314295746013305957043937091314747854403475641077542764827299361042059503365079739297319473959047703934562078024974287782389209607337780039483956949302061537649488708850289216844462608674195519358051967411418780779793929035172355292910755970279785605001642422677683002870551845146426307182805333122977582633184933801359823061099169040780120196892788263675347982956702746125908879030283086035473476738780850296202279750141828383271978783660788846327873368630249737142727875437521657916754141087932086034896640069587571467156111600345617102354459585135003802579552528181932690591235204338734931563391383588717873431993301380190044940273645001719920715329518594286942250053003608200608784783765140193186244311081760393232765709634389610298009601207844734803837817745980200323040963557688797060353856023961969581352955069794653934108169419338482742570497690593635388998559823018080479343204719097298249528706746420206958391026961826484634311970911345837661383996587270860358832582837066062328124680611898735746104480327414901556009607805410134031004228900148918093404781762479732314055538080402074765873759683841135987847029751418554093921342595642575028349183523929900207961922398683495914470699861188327080883485950873605856659378376801172749918702297574834967927839369805716025082265094670974302200760467688801719828708814028181218988985616793620832499404895105994379285797214021761468845236175439778627905194034567734922639397910919041581596067551825259899491275908797950346338628690342334672644085971357632869686689783849377486125799780347657119748099930966888842283558288172635014362233864536548772444232492550524771517053544972441418573359269903818763246547993814191597047347077800661773659196497239956423305273192706328839784773935758973174812229936514568386767038909516796140006280479657150802471826905501159307320274767009741581759589678992192307470153346197940011046375029582812279563802359319077236307707588613411881932088481159631445801442203555255453655863831926765814629779894814638063619426047147663081936558208292773786780605437552403514975135528602158269083658162645251707743681140875026483426452096830258198505349243271899575279338593026306293147498622781669863042096988513649444329529382814527509502866048462895637763557233714836118247644712277340790732}
30932 4871371114812733732614061459080868447627716110079575332380700196503284229170939996296227: {1174618,1883131,2101948,2252707,2286082,2437387,3175387,3642778,3766018,4381978,4647931,4874458,5489698,5805628,6027645,6227458,6429488,6964642,7030987,7140441,7233174,7285084,7823962,8309131,8500525,8673667,9172738,9662722,10200630,10274842,10602473,10641922,10880672,10978684,11398507,11579587,12240756,13386427,13695322,13939162,14107147,14304802,14365245,14792098,15146390,15322928,16441531,16495618,16540424,17224738,17238294,17953282,18018152,18175668,18585547,18607977,18763747,18813837,19918245,20009131,20270421,20364307,20619682,20896531,21246128,21428107,21587362,21637700,22397425,22665931,22795522,23901894,23923304,24484258,24542445,24779707,24955387,25688578,25965240,26178608,26410402,26588541,26771098,26872424,26876910,26913717,27581947,27696256,27711021,28092418,28212442,28668704,29210895,29338684,29450934,29935317,30231477,30370138,30609562,30799708,30911000,31158288,31404931,31529788,31653025,31923547,32252292,32858445,32880898,33647587,33781845,34193242,34357197,34774875,34850131,35049008,35053074,36033968,36812122,37074067,37093200,37406242,37705701,37983630,38266531,38397045,38606587,39079645,39116131,39430134,39566080,39897178,40015618,40114952,40515872,40538214,40901425,40956848,40962562,41729850,43001107,43443418,43840627,43915162,44268802,44511840,44640385,44857882,45012931,45129321,45347227,45514267,45580356,45917218,45998841,46076454,46387618,46895574,47479296,47513131,47518684,47880921,48032002,48674347,48822861,48853018,48917384,49081710,49438978,49461285,49790362,50075820,50327107,50492698,50821531,51046293,51133084,51150787,51315307,51661978,52353824,52464931,52576828,52758704,53063002,53283931,53413997,53414208,53568462,53752377,54427507,54760525,54774152,55032057,55160218,55987253,56181148,56236904,56439298,56582877,56787802,57837067,58160131,58180378,58340284,58875802,58898052,59288587,59353542,60082473,60090984,60253027,60380578,60611842,61620921,61694827,62174131,62652787,62690338,62805658,63266517,63289987,63497242,63546901,63767131,63990925,64551261,65036347,65223682,65453602,65712630,65883965,66143131,66931531,67602357,67695717,67871921,67918184,68032267,68211561,69375752,69632822,69695578,69700845,70093472,71095913,71157787,71240668,71624131,72089827,72093442,72140853,72350285,73109757,74347568,74711578,76121665,76305710,76407957,76414498,76558147,76789110,76868002,77016931,77046285,77094658,77475067,77887533,78047721,78113818,78808557,78855156,79060758,79604467,79789084,79796365,79981790,80058931,80397273,80486818,81680245,81908384,82182704,82627738,83072131,83253693,83411877,83641014,84313858,85015267,85275365,85323802,85370984,86284445,86501707,86820342,87035425,87115301,87563482,87898882,87980947,88275931,89213369,89721224,90019738,90186307,90392918,90544773,90688282,90798285,91170152,91209931,91345998,91566852,92023642,92146932,92455542,92836677,92912602,93391531,93689602,94119950,94909018,95351962,95582942,95755638,95977461,95978148,96042357,96288717,96851504,96960104,97206645,97465084,97706131,98016294,99326938,99475460,99851624,99877378,...,263734020467123489386103834160558951921590513653163052765788309366181077235709024486731974343524872034959801551918407166090321033343253357260516616569161755076959544113024305455745191995082396138541300961788473885234673589032390265860673296536730443977874728396135492104882037369874736678593896254531639543217191214256228403019303925031938426013224569318256276502177498786509330023311020154826061921938189010865264239954852797890396974966598918966528951098897445995913832578842014496366693445792515025597428976949567242932278362539627404288930456957990093237475991869225918014590477477292720738130019703485832493763075222946569770095089691147691238410671863891725324410688945231942217849065590065348647339843018663959793456744599896606675280673026309731441260447591098362969187397752058701678901995603410593394437216624966261976175773953575908633827412772914676063218429165668673597890632308718063885940731331464188753053704481334737087961219562646910884116203701782720638399388828171381925110617325939541885009170168177823408769353751647950962387069167847776542840902587177387536660238041237495952482949476468228640913441525803230057615641730796424487907687167197680941852125314689456823924639198003843976721991573512260082709199987577864197086151598575913802251146684576412352301746947501030039388952416189914986196713735201531177266845404354081838093782424373355109199103641267369176063432394363993479528649268483537342653051076100618728895535270608498366215795909987714087398283027972480456552871944895871998418042300544576615206974879502311063351730236397221138999719743408515120112085669005991087230993436826116352555626577763241493084590941835303251123159852225109064151533996742251879037911181777327636018608557464423428695730536850028175460414322157801095322602356686610872512866704161669175212597851115498626013879627190404589125473859855589298087025150164584787068743344496792263581642901468413824603751015959843276269177263125972259821091066949171123449964365644418818042630619578631339025421353109599195132610116085045471549128654902673288440544310586330412983396768716087656619891670753704976745251005517511177729790082685815150250688385566462056189610091063456655595199316919372377009455064371104280812764852033322426668363154522340276109314289961184179416893257613890575428682596571842856399541385625912899824017980729977014735353390671477556734728893748650820181868234959306165538320334983764953390147787849474616441339833320537461342815580804936626756968824965988825281549804600235393039295040686079527168365875943586266725322135153714593305443148553890140787412700931290488447468708962593258290204190824217456830620136054382822940975971443619019958935565905636972121781605213461616314147240949041563089255047619608945979210938571555901843117037461431673583814411006670059225935423953092306474233063275433825266693913011293279037077951117128171169690893552758532939366133955419678407502463634016524504305827767719639460774207999684466373949777400702039734591648753561170180295339182395513021974435054119188863318545424629053210215108171275444303419625212742574907968175491183269491810052945374605714091813156282486875131211631898129052344960104381357200734167400518425653531689377702505703869328792272899035886852806508102397345087075383076810147989952070285067410410467502579881072994277891430413375079505412300913177175647710289779366466622640589849148564451584415447014401811767102205756726618970300484561445336533195590530784035942954372029432604691980901162254129007724113855746535890453083497839734527120719014807078645947374293060119630310437586540442739726951467956367018756492075994880906290538248874255599093492187020917848103619156720491122352334014411708115201046506343350223377140107172643719598471083307120603112148810639525761703981770544627127831140882013893463862542523775285894850311942883598025243871706049791782490621325228926310408784989067565201759124878053446362252451891759054708574037623397642006461453301140701533202579743063221042271828483478425190431248749107342658991568928695821032642203267854263159667941857791051851602383959096866378562372394101327737889849236913863196925519507943035513502008966128957036449304530034675774066229188699670521485679622149896450333263425337432258952521543350796804823158666348738825787157275580317458662127860038904855728144869821990721287395571020616700992660488794745859934634957909789059493259677160903638459762218344904771852580150558364275194210009420719485726203707740358251738960980412150514612372639384518488288461205230019296910016569562544374218419345703538978615854461561382920117822898132721739447168702163305332883180483795747890148721944669842221957095429139070721494622904837312439160680170908156328605272462703292903237403625487243967877561615521711312539725139678145245387297758023864907849362919007889539459439721247934172504794563145482770474166494294074221791264254299072694343456645335850572254177371467068416011186098}
30933 4886270612187856106072650750110801135381035619592417049166566229967635737149361913066294: {61862,1761927,2627435,3152922,3429123,3740231,5464167,5625802,5649027,6572967,7257035,7311687,8036860,8234547,8708442,9106355,9341187,9520588,9644232,9854867,10446963,10849761,10927626,11735943,12079163,13407562,13600840,13723355,13759107,13927331,14472871,14494083,15300945,15412263,15765883,15962883,16321008,16468026,17996627,18361134,18590362,19153660,20542983,20597627,20675530,20908743,20932891,21457203,22188147,22304746,22522690,22719585,22906282,22984392,23513371,24094631,24234224,24471187,24664331,24743427,24810636,25085116,25221607,25837107,25857441,26557660,26872963,26929923,27027228,27047125,27263502,28156007,29109467,29667031,29707522,29904130,30667882,30929523,31529722,31673707,31869192,32381043,32456550,32723260,33590530,34193283,34620320,35100583,35451388,35758627,35835880,35837242,35852841,35884956,36377818,36673355,36726387,36948028,37724362,38295587,38499635,38532867,38638750,38947860,39267912,39412235,39615603,39913756,40156647,40308636,40315365,41135047,41263963,41412778,41544384,41864807,42138627,42245971,42318663,42776467,42802711,43003056,43811260,44008026,44176401,45042460,45133402,45477322,45555207,45809596,45914343,46163866,46199562,46366500,46737432,47294682,47337706,47417987,47927383,48097018,48378438,49087123,49207291,49321347,49457600,50143690,50274268,50360087,50436947,50439946,50644840,51196060,51289863,51860531,52542442,52573512,52579611,53601658,53742442,54050952,55218183,55506058,55621267,55639800,56041571,56109363,56795731,56975445,58320331,59145201,59172563,59330218,59349120,59398355,59428411,59845767,60023427,60172428,60703783,60773808,60807321,61146730,61331788,61435272,61443843,62150026,62527432,62594775,62787283,63305728,63343306,63841228,63916355,63989122,65054122,65097148,65165127,65174083,65442280,65721035,65872743,65948380,66403203,66767760,67013147,67286823,68061724,68123351,68370534,68467690,68875827,69114681,69172426,69581427,69766027,69831322,70226435,70296130,70343361,71218944,71278026,71338306,71424616,71512618,71569307,71669836,71909866,72048003,72925355,73279527,73376076,73622565,74158467,74685543,74699611,75113730,75443836,75739047,75806183,76425091,76547362,76699626,76962346,77094043,77492967,78443578,78506071,78530736,78655907,78865242,79138056,79594503,79773883,80109964,80121312,80352693,80864467,80925442,82161228,82740327,83209018,84271722,84355356,84658947,84682631,84745066,84840091,84897730,85181703,85547386,86068348,86719690,87270567,87312706,87370171,87510426,87616840,88259047,88313703,88347078,88990603,89030313,89050835,89905642,90078091,90136476,90221987,90260956,90570867,90726202,90917763,90948748,91748131,92424283,92934460,93608002,94035507,94128298,94208487,95051962,95245863,96187804,96734563,96965723,97234666,97470331,97479676,97555066,97835523,98167882,98180403,98568945,99736355,...,395601030700685234079155751240838427882385770479744579148682464049271615853563536730097961515287308052439702327877610749135481550014880035890774924853742632615439316169536458183617787992623594207811951442682710827852010383548585398791009944805095665966812092594203238157323056054812105017890844381797459314825786821384342604528955887547907639019836853977384414753266248179763995034966530232239092882907283516297896359932279196835595462449898378449793426648346168993870748868263021744550040168688772538396143465424350864398417543809441106433395685436985139856213987803838877021885716215939081107195029555228748740644612834419854655142634536721536857616007795837587986616033417847913326773598385098022971009764527995939690185116899844910012921009539464597161890671386647544453781096628088052518352993405115890091655824937449392964263660930363862950741119159372014094827643748503010396835948463077095828911096997196283129580556722002105631941829343970366326174305552674080957599083242257072887665925988909312827513755252266735113154030627471926443580603751771664814261353880766081304990357061856243928724424214702342961370162288704845086423462596194636731861530750796521412778187972034185235886958797005765965082987360268390124063799981366796295629227397863870703376720026864618528452620421251545059083428624284872479295070602802296765900268106531122757140673636560032663798655461901053764095148591545990219292973902725306013979576614150928093343302905912747549323693864981571131097424541958720684829307917343807997627063450816864922810462319253466595027595354595831708499579615112772680168128503508986630846490155239174528833439866644862239626886412752954876684739778337663596227300995113377818556866772665991454027912836196635143043595805275042263190621483236701642983903535029916308769300056242503762818896776673247939020819440785606883688210789783383947130537725246877180603115016745188395372464352202620736905626523939764914403765894688958389731636600423756685174946548466628227063945929367947008538132029664398792698915174127568207323692982354009932660816465879495619475095153074131484929837506130557465117876508276266766594685124028722725376032578349693084284415136595184983392798975379058565514182596556656421219147278049983640002544731783510414163971434941776269125339886420835863143023894857764284599312078438869349736026971094965522103030086007216335102093340622976230272802352438959248307480502475647430085221681774211924662009749980806192014223371207404940135453237448983237922324706900353089558942561029119290752548813915379400087983202730571889958164722830835211181119051396935732671203063443889887435306286236326185245930204081574234411463957165428529938403348858455458182672407820192424471220861423562344633882571429413418968816407857333852764675556192147510375721616510005088838903135929638459711349594913150737900040869516939918555616926675692256754536340329137799409049200933129517611253695451024786756458741651579459191161311999526699560924666101053059601887473130341755270443008773593269532961652581178783294977818136943579815322662256913166455129437819113862361952263236774904237715079418061908571137719734423730312696817447847193578517440156572035801101251100777638480297534066553758555803993188409348553830279209762153596017630613074615215221984928105427601115615701253869821609491416837145620062619258118451369765763471565434669049699933960884773722846677376623170521602717650653308635089928455450726842168004799793385796176053914431558044148907037971351743381193511586170783619803835679625246759601790681078522210617968921061439590179445465656379810664109590427201934550528134738113992321359435807373311383398640238280531376772155428735080736683528501021617562172801569759515025335065710160758965579397706624960680904668223215959288642555972655816940691746711323020840195793813785662928842275467914325397037865807559074687673735931987843389465613177483601347802638687317080169543378677837638582062861056435096463009692179951711052299803869614594831563407742725217637785646873123661013988487353393043731548963304901781394739501912786686577777403575938645299567843558591151991606834773855370794795388279261914553270253013449193435554673956795052013661099343783049505782228519433224844675499895138006148388428782315026195207234737999523108238680735913370476187993191790058357283592217304732986081931093356530925051488990733192118789901952436864683589239889515741355457689643327517357157778870225837546412791315014131079228589305561610537377608441470618225771918558959076777732432691807845028945365024854343816561327629018555308467923781692342074380176734347199082609170753053244957999324770725693621835223082917004763332935643143708606082241934357255968658741020256362234492907908694054939354856105438230865951816342423282566968809587709517217868080946637035797361774044378511834309189159581871901258757191844718224155711249741441111332686896381448609041515184968003775858381266057200602624016779147}
30934 4901215419074839690520800123383794710360703332116546921530471980572021136065063736621262: {92793,710953,1266613,1636693,2349236,2560633,3766262,4035193,4203896,4505414,4572164,4729383,4874774,6350774,6970489,7285556,7532036,7883989,8066473,8438703,8763956,9295862,9748916,10046075,10979396,11611256,11900735,12055290,12454916,12858976,13062663,13507513,13929284,14061974,14228089,14280882,14466348,14570168,15306793,15647924,16391439,16618262,17001050,17347334,17813689,17992213,18345476,19325444,19417813,20111343,20401260,20549684,21204946,21283844,21761344,21957368,22797014,23159174,23314453,23942075,24019189,24481512,24702039,24722773,25951273,26651689,26772854,27390644,27541701,27878324,27885543,28214294,28609604,28730490,29584196,30292780,30309973,30645856,31013295,31356395,31695253,32731189,32883062,32991236,33080848,33197075,33457119,33784035,34359423,34449476,34476588,35138293,35481013,35906564,36036304,36165589,36351336,37171094,37215954,37527494,37627674,38552533,39836490,40018262,40248853,40418089,40540842,40728614,40895253,40904075,41239364,41793062,42274933,42492256,42779833,42856214,43174724,43275400,43619893,44314235,44458153,44561283,44792953,44794850,44856195,45331862,45591044,46001823,46129273,46185035,46962133,47128489,47294583,47803788,47846608,47959189,48684825,48968516,49084890,49559414,49892195,49910774,50385795,50605333,51377156,51930480,52085689,52357216,52741753,52820804,53177082,53542196,53744848,53753820,53755863,53827434,54376873,54566727,54711503,54764075,55163894,55191733,55354489,55392512,55422042,55517173,56184836,56303075,56424884,56586543,57140053,57261995,57337408,57958125,58421790,58677368,58901868,59560873,59870634,60462954,60740276,61219124,61599416,61645813,61822000,62119167,62316576,62496539,62809862,62842835,63059576,63306050,63847094,63995075,64195189,64504584,65146453,65716890,65761796,66012039,67295174,67563690,67700103,68215983,68298613,68386484,68714394,68925589,69245799,69299343,69549750,69551413,69700262,70098016,70106148,70942023,71006559,71023007,71887993,72067936,72145527,72567657,73624244,74148134,74186400,74812484,75100883,75131989,75215535,75411402,75659919,75967260,76533062,76664735,76794090,77213174,77582293,78159290,78232262,78813663,78860268,79132160,79711189,79794356,79801535,80031236,80229904,80402487,80613663,81031744,81076428,81371435,81373993,81802850,81913696,81925124,82435475,83259087,83459700,84822613,85077155,85864633,86002214,86886836,87681254,87830324,87938089,88527913,88537604,88995327,89023680,89280770,89587295,89715764,90025862,90258642,90694454,91028534,91160712,91720095,91751353,91834436,91997682,92152908,92237551,92775236,93225039,93784489,93791148,94304795,94958592,95014959,95026262,95037368,95761842,95983683,96064004,96664489,97348694,97581183,97645722,97706036,97834768,98163420,98877956,98922570,99580724,...,527468040934246978772207668321117903843181027306326105531576618732362154471418048973463948687049744069919603103836814332180642066686506714521033233138323510153919088226048610911490383990164792277082601923576947770469347178064780531721346593073460887955749456792270984209764074739749473357187792509063279086434382428512456806038607850063876852026449138636512553004354997573018660046622040309652123843876378021730528479909705595780793949933197837933057902197794891991827665157684028992733386891585030051194857953899134485864556725079254808577860913915980186474951983738451836029180954954585441476260039406971664987526150445893139540190179382295382476821343727783450648821377890463884435698131180130697294679686037327919586913489199793213350561346052619462882520895182196725938374795504117403357803991206821186788874433249932523952351547907151817267654825545829352126436858331337347195781264617436127771881462662928377506107408962669474175922439125293821768232407403565441276798777656342763850221234651879083770018340336355646817538707503295901924774138335695553085681805174354775073320476082474991904965898952936457281826883051606460115231283461592848975815374334395361883704250629378913647849278396007687953443983147024520165418399975155728394172303197151827604502293369152824704603493895002060078777904832379829972393427470403062354533690808708163676187564848746710218398207282534738352126864788727986959057298536967074685306102152201237457791070541216996732431591819975428174796566055944960913105743889791743996836084601089153230413949759004622126703460472794442277999439486817030240224171338011982174461986873652232705111253155526482986169181883670606502246319704450218128303067993484503758075822363554655272037217114928846857391461073700056350920828644315602190645204713373221745025733408323338350425195702230997252027759254380809178250947719711178596174050300329169574137486688993584527163285802936827649207502031919686552538354526251944519642182133898342246899928731288837636085261239157262678050842706219198390265220232170090943098257309805346576881088621172660825966793537432175313239783341507409953490502011035022355459580165371630300501376771132924112379220182126913311190398633838744754018910128742208561625529704066644853336726309044680552218628579922368358833786515227781150857365193143685712799082771251825799648035961459954029470706781342955113469457787497301640363736469918612331076640669967529906780295575698949232882679666641074922685631161609873253513937649931977650563099609200470786078590081372159054336731751887172533450644270307429186610886297107780281574825401862580976894937417925186516580408381648434913661240272108765645881951942887238039917871131811273944243563210426923232628294481898083126178510095239217891958421877143111803686234074922863347167628822013340118451870847906184612948466126550867650533387826022586558074155902234256342339381787105517065878732267910839356815004927268033049008611655535439278921548415999368932747899554801404079469183297507122340360590678364791026043948870108238377726637090849258106420430216342550888606839250425485149815936350982366538983620105890749211428183626312564973750262423263796258104689920208762714401468334801036851307063378755405011407738657584545798071773705613016204794690174150766153620295979904140570134820820935005159762145988555782860826750159010824601826354351295420579558732933245281179698297128903168830894028803623534204411513453237940600969122890673066391181061568071885908744058865209383961802324508258015448227711493071780906166995679469054241438029614157291894748586120239260620875173080885479453902935912734037512984151989761812581076497748511198186984374041835696207238313440982244704668028823416230402093012686700446754280214345287439196942166614241206224297621279051523407963541089254255662281764027786927725085047550571789700623885767196050487743412099583564981242650457852620817569978135130403518249756106892724504903783518109417148075246795284012922906602281403066405159486126442084543656966956850380862497498214685317983137857391642065284406535708526319335883715582103703204767918193732757124744788202655475779698473827726393851039015886071027004017932257914072898609060069351548132458377399341042971359244299792900666526850674864517905043086701593609646317332697477651574314551160634917324255720077809711456289739643981442574791142041233401985320977589491719869269915819578118986519354321807276919524436689809543705160301116728550388420018841438971452407415480716503477921960824301029224745278769036976576922410460038593820033139125088748436838691407077957231708923122765840235645796265443478894337404326610665766360967591495780297443889339684443914190858278141442989245809674624878321360341816312657210544925406585806474807250974487935755123231043422625079450279356290490774595516047729815698725838015779078918879442495868345009589126290965540948332988588148443582528508598145388686913290671701144508354742934136832022372196}
30935 4916205672467991867370427023284450617479384288437539437910085825140321809186282491999040: {123724,2936545,3523854,3678409,4420273,5254870,5649393,5715205,6305844,6758121,6858246,7312161,7480462,9106945,9415045,9526161,10159849,10534513,10928334,10954945,11251604,11298054,11646661,12186145,12748897,13145934,13500241,13724245,13943793,14514070,14606713,14623374,15568645,16073720,16459573,16469094,17411605,17416884,17997793,18082935,18212710,18682374,19041176,19212697,19288464,19424149,19559905,19709734,20893926,21092961,21268741,21421323,21699522,21855252,22018153,22931845,23471886,24096193,24156805,24158326,24665929,24773353,24927393,25501575,25687105,26021001,26604805,26815124,27201680,27446710,27518214,27566017,27854662,28157833,28475473,28945742,28988166,29111353,30529441,30601890,30824526,30951577,31531766,31807419,31925766,32642016,32936052,33122437,33275281,34195521,34238305,34738761,34847905,35139289,35762005,35993254,36271609,36722268,36980245,37180724,37617121,37865975,38307320,40159281,41085966,41195254,41239045,41351060,41416777,41817486,41865782,41867521,42060817,42321441,42914406,43061845,43095735,43283953,44376294,44609492,44883205,45045380,45258421,45439170,45812564,45968784,46644277,47026742,47421061,48189262,48468448,48942374,49324593,49328662,49486854,49621272,50170232,50363353,50443214,50688193,51113953,51342697,51549205,51674214,51714882,51778681,51863893,52912789,53115320,53649889,53745926,53859846,53899489,53968405,54054456,54094250,54390313,54527004,55177129,55756641,55823931,56291241,56312014,56441511,56500609,56988805,57089077,58218934,58852561,59334062,59415044,59607301,59754735,59808260,59920177,60027393,60811263,61092921,61210645,61335764,61859046,62634697,62689593,63059444,63347414,63738384,64221445,64284321,64762086,64913100,65446520,66026005,66134041,66585409,66927745,67017493,67181060,67192275,67321537,67997793,68127769,68386566,69240640,70201166,70231045,70282081,70531105,70902776,71284873,71517254,71671760,71674484,71688949,71705682,71769912,72755636,72986521,73346710,73452774,73627335,73896056,74339121,74866161,75448724,75925345,76523905,76591174,76650409,76999270,77065734,77223121,77277500,77895720,78535824,78824470,79231206,79538677,79765623,79827512,80313294,80617272,80630730,80741151,82202245,82270094,82527926,82745841,82825556,83088768,83133063,83157697,83729614,84277254,84491942,84637326,85483105,85488817,85552934,85605422,86006112,86598661,86665717,87622520,87632685,88016052,88352802,88702273,89482897,89805951,90084920,90266804,90694431,90954644,91110414,91619192,91828686,92008561,92009449,92030305,92327732,92399124,92733000,92743153,92956981,93474864,93515605,94214793,94589364,94675412,94717513,94835974,94959075,95770641,95854766,96194036,96444193,96756876,98174246,98317009,98381281,98414582,98575335,98642694,98723713,98915200,99742945,99770569,...,791202061401370468158311502481676855764771540959489158297364928098543231707127073460195923030574616104879404655755221498270963100029760071781549849707485265230878632339072916367235575985247188415623902885365421655704020767097170797582019889610191331933624185188406476314646112109624210035781688763594918629651573642768685209057911775095815278039673707954768829506532496359527990069933060464478185765814567032595792719864558393671190924899796756899586853296692337987741497736526043489100080337377545076792286930848701728796835087618882212866791370873970279712427975607677754043771432431878162214390059110457497481289225668839709310285269073443073715232015591675175973232066835695826653547196770196045942019529055991879380370233799689820025842019078929194323781342773295088907562193256176105036705986810231780183311649874898785928527321860727725901482238318744028189655287497006020793671896926154191657822193994392566259161113444004211263883658687940732652348611105348161915198166484514145775331851977818625655027510504533470226308061254943852887161207503543329628522707761532162609980714123712487857448848429404685922740324577409690172846925192389273463723061501593042825556375944068370471773917594011531930165974720536780248127599962733592591258454795727741406753440053729237056905240842503090118166857248569744958590141205604593531800536213062245514281347273120065327597310923802107528190297183091980438585947805450612027959153228301856186686605811825495098647387729963142262194849083917441369658615834687615995254126901633729845620924638506933190055190709191663416999159230225545360336257007017973261692980310478349057666879733289724479253772825505909753369479556675327192454601990226755637113733545331982908055825672393270286087191610550084526381242966473403285967807070059832617538600112485007525637793553346495878041638881571213767376421579566767894261075450493754361206230033490376790744928704405241473811253047879529828807531789377916779463273200847513370349893096933256454127891858735894017076264059328797585397830348255136414647385964708019865321632931758991238950190306148262969859675012261114930235753016552533533189370248057445450752065156699386168568830273190369966785597950758117131028365193113312842438294556099967280005089463567020828327942869883552538250679772841671726286047789715528569198624156877738699472053942189931044206060172014432670204186681245952460545604704877918496614961004951294860170443363548423849324019499961612384028446742414809880270906474897966475844649413800706179117885122058238581505097627830758800175966405461143779916329445661670422362238102793871465342406126887779774870612572472652370491860408163148468822927914330857059876806697716910916365344815640384848942441722847124689267765142858826837937632815714667705529351112384295020751443233020010177677806271859276919422699189826301475800081739033879837111233853351384513509072680658275598818098401866259035222507390902049573512917483303158918382322623999053399121849332202106119203774946260683510540886017547186539065923305162357566589955636273887159630645324513826332910258875638227724723904526473549808475430158836123817142275439468847460625393634895694387157034880313144071602202502201555276960595068133107517111607986376818697107660558419524307192035261226149230430443969856210855202231231402507739643218982833674291240125238516236902739531526943130869338099399867921769547445693354753246341043205435301306617270179856910901453684336009599586771592352107828863116088297814075942703486762387023172341567239607671359250493519203581362157044421235937842122879180358890931312759621328219180854403869101056269476227984642718871614746622766797280476561062753544310857470161473367057002043235124345603139519030050670131420321517931158795413249921361809336446431918577285111945311633881383493422646041680391587627571325857684550935828650794075731615118149375347471863975686778931226354967202695605277374634160339086757355675277164125722112870192926019384359903422104599607739229189663126815485450435275571293746247322027976974706786087463097926609803562789479003825573373155554807151877290599135687117182303983213669547710741589590776558523829106540506026898386871109347913590104027322198687566099011564457038866449689350999790276012296776857564630052390414469475999046216477361471826740952375986383580116714567184434609465972163862186713061850102977981466384237579803904873729367178479779031482710915379286655034714315557740451675092825582630028262158457178611123221074755216882941236451543837117918153555464865383615690057890730049708687633122655258037110616935847563384684148760353468694398165218341506106489915998649541451387243670446165834009526665871286287417212164483868714511937317482040512724468985815817388109878709712210876461731903632684846565133937619175419034435736161893274071594723548088757023668618378319163743802517514383689436448311422499482882222665373792762897218083030369936007551716762532114401205248033558294}
30936 4931241509773441605175476225735556692916310479970953360332827776458887334144569478374683: {154655,185586,1328399,1421906,2068223,2533226,2560799,2991383,3273386,3298703,3912743,4698472,5015999,5121266,5285781,5321999,5505503,6848999,7031903,7153799,7336583,7532524,7882305,8070386,8407792,8978399,9010828,9144328,9458766,9749548,10287369,10977143,11220693,11581103,11701799,12123983,12701548,12786623,13388183,13508399,13940978,14064505,14229023,14571112,14828663,15064072,15487343,15767978,16132946,16392501,16622783,16661029,16877406,16947081,17278823,17527912,18587999,18591724,18706823,19478399,19497832,19718901,20092150,20485343,20662799,21771105,21935061,21958792,22138799,22315583,23222512,23801470,24020783,24110580,24703641,24782999,24900143,24909832,25251383,25717952,26125326,26361743,27015026,27236303,27319065,27858568,28023561,28123948,28399583,28456178,28561764,28573799,28932696,29140336,29269943,29564601,30196343,30485423,30613586,31295848,31340889,31754999,31927823,32549283,32782878,32905799,33236524,33307823,33518905,34002100,34694668,35207829,35627378,35984426,36053999,36237489,36690952,38611799,38650888,38725103,38835626,40222686,40420823,40802520,41099368,41170065,41277321,41322263,41603543,41781993,42409892,42567688,42838799,43418613,43482249,43522688,43678799,43898953,43914736,43958399,44126063,45520463,45594028,45631799,45902835,46236789,46318348,46475905,46628906,46854383,47187143,47297649,47884150,47888649,48038378,48791423,48963024,49404078,49445546,49508399,51688825,51902546,51979799,52143983,53303378,53545708,53989881,54434999,54543743,54781288,55083402,55520999,55756648,55761865,55771086,56306725,56428588,57219208,57265705,57460980,57521663,57952799,58598543,59168392,59725823,60528863,60585560,60619946,61291712,61330103,61628949,61703399,61792881,62026590,62039929,62712790,62726229,62798673,63390506,63404903,63563999,64252583,64371609,64659049,64992623,65150999,65462378,65520263,65678399,65766124,65982472,66099743,66161696,66394150,66564441,66730799,66888383,66914238,67360703,67568070,67884743,68158755,68198783,68460263,68718846,68898952,68953176,69086999,69452063,69849073,70024943,70276586,70388999,70540113,70962026,71167799,71813128,72072608,72203399,72283893,72331178,72358463,72702672,73413561,73992993,74110823,74230281,74268805,74342188,74431908,74760325,74880983,75054988,75137303,75188543,75255348,75664821,76415903,76669705,77105066,77511321,77572323,77587799,78824305,79672980,79716863,80036524,80166793,80497706,80618889,80776103,80789769,80836178,81081684,81141375,81457228,81530543,81731423,81790506,81808150,82283183,82478728,82633799,83034023,83586124,83936281,83976325,84281423,84468021,84549866,84984512,85559666,85712428,86019383,86349448,86514143,86550800,86761223,87205463,87239786,87328401,87845999,87979969,87993623,88436063,88628470,88755589,88828799,88916306,89001093,89122566,89585906,89589700,89593105,89712390,90663724,90944545,91182088,91660823,92003646,92258546,92370070,92788569,93791303,93924266,94256978,94310905,94589166,94802663,94994903,95021121,95607576,95693216,95918378,96002063,96596875,96671543,96719303,96957983,97143129,97369650,97937032,98169780,98575703,99118828,99286463,99784390,99806543,99821548,...,1186803092102055702237467253722515283647157311439233737446047392147814847560690610190293884545861924157319106983632832247406444650044640107672324774561227897846317948508609374550853363977870782623435854328048132483556031150645756196373029834415286997900436277782609714471969168164436315053672533145392377944477360464153027813586867662643722917059510561932153244259798744539291985104899590696717278648721850548893689079796837590506786387349695135349380279945038506981612246604789065233650120506066317615188430396273052593195252631428323319300187056310955419568641963411516631065657148647817243321585088665686246221933838503259563965427903610164610572848023387512763959848100253543739980320795155294068913029293583987819070555350699534730038763028618393791485672014159942633361343289884264157555058980215347670274967474812348178892790982791091588852223357478116042284482931245509031190507845389231287486733290991588849388741670166006316895825488031911098978522916658022242872797249726771218662997777966727938482541265756800205339462091882415779330741811255314994442784061642298243914971071185568731786173272644107028884110486866114535259270387788583910195584592252389564238334563916102555707660876391017297895248962080805170372191399944100388886887682193591612110130160080593855585357861263754635177250285872854617437885211808406890297700804319593368271422020909680097991395966385703161292285445774637970657878921708175918041938729842452784280029908717738242647971081594944713393292273625876162054487923752031423992881190352450594768431386957760399785082786063787495125498738845338318040504385510526959892539470465717523586500319599934586718880659238258864630054219335012990788681902985340133455670600317997974362083738508589905429130787415825126789571864449710104928951710605089748926307900168727511288456690330019743817062458322356820651064632369350151841391613175740631541809345050235565186117393056607862210716879571819294743211297684066875169194909801271270055524839645399884681191837788103841025614396088993196378096745522382704621971078947062029797982449397638486858425285459222394454789512518391672395353629524828800299784055372086168176128097735049079252853245409785554950178396926137175696542547789669969263657441834149950920007634195350531242491914304825328807376019659262507589429071684573292853797936235316608049208080913284896566309090258021649005306280021868928690818407057316877744922441507426942290255665045322635773986029249942418576042670113622214820406359712346949713766974120701059268676827683087357872257646441746138200263949608191715669874494168492505633543357154190807198013609190331669662305918858708978555737790612244722703234391871496285589815210046575366374548017223460577273413662584270687033901647714288240256906449223572001558294026668576442531127164849530015266516709407788915379134048784739452213700122608550819755666850780027076770263609020987413398227147602799388552833761086353074360269376224954738377573483935998580098682773998303159178805662419391025265811329026320779808598884957743536349884933454410830739445967986770739499365388313457341587085856789710324712713145238254185725713413159203271190938090452343541580735552320469716107403303753302332915440892602199661275667411979565228045661490837629286460788052891839223845645665954784316282803346847103761609464828474250511436860187857774355354109297290414696304007149099801882654321168540032129869511564808152951959925905269785366352180526504014399380157388528161743294674132446721113914055230143580534758512350859411507038875740278805372043235566631853906763184318770538336396969139431992328771281605803651584404214341976964078307422119934150195920714841594130316466286205242210050585503064852686518404709278545076005197130482276896738193119874882042714004669647877865927667917967450822075240133969062520587381441356988786526826403742976191113597422677224063021207795963530168396839532450804043407916061951240508630136033512915746188583169305289389029076539855133156899411608843784494690223228175652913356940619370983041965462060179131194646889914705344184218505738360059733332210727815935898703530675773455974820504321566112384386164837785743659810759040347580306664021870385156040983298031349148517346685558299674534026499685414018445165286346945078585621704213998569324716042207740111428563979575370175071850776651914198958245793280069592775154466972199576356369705857310594050767719668547224066373068929982552071473336610677512639238373945042393237685767916684831612132825324411854677315755676877230333197298075423535086836095074563031449683982887055665925403771345077026223140530203041597247827512259159734873997974312177080865505669248751014289998806929431125818246725803071767905976223060769086703478723726082164818064568316314692597855449027269847700906428763128551653604242839911107392085322133135535502927567478745615703776271575534154672467133749224323333998060689144345827124545554904011327575143798171601807872050337441}
30937 4946323068810370315755900843882513965934147584873743341764747927017121872382979617471765: {30937,247448,278379,2132859,3799839,4111163,4910079,5223959,5873090,7047708,7356818,7681899,8001287,8840546,9415655,10509740,11263535,11298786,11430410,12105579,12186935,12449879,12611688,12749723,13181063,13516242,13716492,14188149,14624322,14960924,15336923,15876935,17060603,17262479,18213890,18830090,19052322,19213943,20319698,20911467,21069026,21270119,21709343,21796103,21856668,21909890,22503208,22596108,22743083,23239655,23293322,23651967,24199419,24372290,24376247,24774959,25316109,25497794,26291868,27000482,27383867,27448490,27567803,27887586,28477319,29028140,29213426,29246748,29277599,30138225,30531419,31137290,32000783,32104583,32147440,32894543,32919146,32938188,33124583,33277439,33819527,34592939,34823210,34833768,35141567,35154935,35406743,35702205,35961947,35995586,36165870,36425420,36949583,37246727,37364748,38082352,38425394,38576928,38848298,39119810,39187989,39273323,39419468,40522539,41419463,41545655,41787852,42185922,42502625,42537482,42684267,42842646,42866447,43286759,43368335,43399044,43710504,44036306,44961563,45863690,45920379,46289339,46813103,46943772,47933627,48192386,48313610,48316652,48787067,49174317,49331858,49546706,49854786,50066807,50691479,51003150,51374210,51772343,51782039,52042002,52131839,53012365,53209610,53441067,53630248,53653367,53960567,53976639,54393839,54403360,54893420,55036428,55132034,55158059,55709324,56315666,56950946,56992535,57043499,57734663,57891484,57897935,57976332,58222706,58253439,59137823,59924063,60286583,60334029,60407399,61058882,61203780,61649052,61903154,62836487,63063532,63614838,63805439,63851532,64052603,65284032,65872104,66244874,66550562,66773447,66932135,67261403,67325903,68391042,68476610,68752727,69477522,69603623,69695810,69943359,70278578,70286639,70535735,70629239,71524010,71826225,71986508,72057567,72168887,72543218,72735503,73444536,73960490,74106117,74168319,74361448,75234242,75314459,75555767,75731950,76614640,77325743,77853819,78691847,79784327,79955067,80122943,80318562,80987783,82106447,82171932,82207655,82390508,82478090,82625103,82702120,82833554,83634972,83656629,83731564,83735042,84121634,84245759,84642882,84687263,85024103,85227647,85694903,85828812,86123690,86191470,86567906,88386743,88752588,89218984,89766410,89910023,90090760,90516842,90586847,90878340,90929919,91625128,91937568,92436407,92642663,92927735,93039885,93288554,93387503,93698843,93818735,94053484,94069185,94639007,94842122,95085759,95391659,96378524,96936896,97884748,98193567,98323463,98353979,98649186,98657324,98743547,98973708,99242544,99591225,99816263,...,1582404122802740936316623004963353711529543081918978316594729856197086463414254146920391846061149232209758809311510442996541926200059520143563099699414970530461757264678145832734471151970494376831247805770730843311408041534194341595164039779220382663867248370376812952629292224219248420071563377527189837259303147285537370418115823550191630556079347415909537659013064992719055980139866120928956371531629134065191585439729116787342381849799593513799173706593384675975482995473052086978200160674755090153584573861697403457593670175237764425733582741747940559424855951215355508087542864863756324428780118220914994962578451337679418620570538146886147430464031183350351946464133671391653307094393540392091884039058111983758760740467599379640051684038157858388647562685546590177815124386512352210073411973620463560366623299749797571857054643721455451802964476637488056379310574994012041587343793852308383315644387988785132518322226888008422527767317375881465304697222210696323830396332969028291550663703955637251310055021009066940452616122509887705774322415007086659257045415523064325219961428247424975714897696858809371845480649154819380345693850384778546927446123003186085651112751888136740943547835188023063860331949441073560496255199925467185182516909591455482813506880107458474113810481685006180236333714497139489917180282411209187063601072426124491028562694546240130655194621847604215056380594366183960877171895610901224055918306456603712373373211623650990197294775459926284524389698167834882739317231669375231990508253803267459691241849277013866380110381418383326833998318460451090720672514014035946523385960620956698115333759466579448958507545651011819506738959113350654384909203980453511274227467090663965816111651344786540572174383221100169052762485932946806571935614140119665235077200224970015051275587106692991756083277763142427534752843159133535788522150900987508722412460066980753581489857408810482947622506095759059657615063578755833558926546401695026740699786193866512908255783717471788034152528118657595170795660696510272829294771929416039730643265863517982477900380612296525939719350024522229860471506033105067066378740496114890901504130313398772337137660546380739933571195901516234262056730386226625684876589112199934560010178927134041656655885739767105076501359545683343452572095579431057138397248313755477398944107884379862088412120344028865340408373362491904921091209409755836993229922009902589720340886727096847698648038999923224768056893484829619760541812949795932951689298827601412358235770244116477163010195255661517600351932810922287559832658891323340844724476205587742930684812253775559549741225144945304740983720816326296937645855828661714119753613395433821832730689631280769697884883445694249378535530285717653675875265631429335411058702224768590041502886466040020355355612543718553838845398379652602951600163478067759674222467706702769027018145361316551197636196803732518070445014781804099147025834966606317836764645247998106798243698664404212238407549892521367021081772035094373078131846610324715133179911272547774319261290649027652665820517751276455449447809052947099616950860317672247634284550878937694921250787269791388774314069760626288143204405004403110553921190136266215034223215972753637394215321116839048614384070522452298460860887939712421710404462462805015479286437965667348582480250477032473805479063053886261738676198799735843539094891386709506492682086410870602613234540359713821802907368672019199173543184704215657726232176595628151885406973524774046344683134479215342718500987038407162724314088842471875684245758360717781862625519242656438361708807738202112538952455969285437743229493245533594560953122125507088621714940322946734114004086470248691206279038060101340262840643035862317590826499842723618672892863837154570223890623267762766986845292083360783175255142651715369101871657301588151463230236298750694943727951373557862452709934405391210554749268320678173514711350554328251444225740385852038768719806844209199215478458379326253630970900870551142587492494644055953949413572174926195853219607125578958007651146746311109614303754581198271374234364607966427339095421483179181553117047658213081012053796773742218695827180208054644397375132198023128914077732899378701999580552024593553715129260104780828938951998092432954722943653481904751972767160233429134368869218931944327724373426123700205955962932768475159607809747458734356959558062965421830758573310069428631115480903350185651165260056524316914357222246442149510433765882472903087674235836307110929730767231380115781460099417375266245310516074221233871695126769368297520706937388796330436683012212979831997299082902774487340892331668019053331742572574834424328967737429023874634964081025448937971631634776219757419424421752923463807265369693130267875238350838068871472323786548143189447096177514047337236756638327487605035028767378872896622844998965764445330747585525794436166060739872015103433525064228802410496067116588}
30938 4961450487812246367913866038169386676975431106958613240389141332703725384707053193669291: {216517,309310,371172,2068357,2437861,2656798,2843812,2991577,3360361,4136446,4832617,5066452,5121598,5567017,5982766,6483397,6546772,6597406,7397977,7825486,8493097,8809635,9396944,9403717,10031998,10242532,10571562,10643998,11011006,11035227,11581861,12486361,12847657,13137175,13260819,13697998,14063806,14307598,14673166,15065048,15764610,16140772,16623877,16815584,16948179,17145615,17339557,17956798,18021656,18288656,18701155,18767461,18917532,19123717,19499096,19690307,20274363,20574738,21936483,21954286,21963397,22441386,22670437,22847017,23162206,23199961,23403598,24247966,24960361,25403096,25573246,26776366,27016798,27320835,27881956,28129010,28245135,28458046,28578483,29142224,29657326,29677477,30128144,30479547,30545257,30974686,31535956,31603539,32265892,32448037,32785002,32864835,33245566,33322058,33754812,33894162,34557646,34939983,35055824,36285175,36558435,37175998,37183448,37413646,38246691,38444377,38956798,38995664,39293797,39437802,40184300,40500723,40970686,41172735,41325598,41831379,43542210,43820139,43870122,43917584,44277598,44631166,45523561,45531775,46445024,46705935,46926467,47602940,47688997,48041566,48221160,48849961,49274335,49378719,49407282,49565998,49800286,49819664,50502766,50996677,51325861,51435904,52234815,52250652,52475737,52723486,53993379,54030052,54112297,54248805,54472606,54601861,54638130,55717136,56047122,56247896,56799166,56912356,57123528,57147598,57638091,57865392,58172197,58272447,58280672,58333657,58539886,58656361,58679715,59129202,60392686,60395815,60970846,61227172,61387717,62591696,62665861,62681778,63278883,63509998,63806223,63855646,64263969,64574437,65049961,65066267,65098566,65366617,65565756,65811598,66054459,66156997,66473048,66615646,66945577,67037810,67103077,68004200,68203561,68616775,68795535,69389336,69636655,70415658,71254756,71968852,72107998,72288579,72364355,72415237,72470415,72474978,73381904,73997787,74320059,74782179,75193861,76504725,76727461,77061315,77223598,77301776,77450206,77671252,78063003,78066611,78829415,79814415,80076037,80171987,80227417,80445372,80841646,80983237,81605040,82198736,82340130,82554642,82644526,82698051,83089957,83207086,83563986,84287461,84473499,84735337,84819784,85135376,85426419,85677598,85975219,86816857,86837226,86964498,87045376,87334059,87357598,87797906,87829472,87916798,88252126,88442437,89983135,91040926,91188056,91263598,91375717,91588323,91805670,92473578,92636696,92854731,92951810,93257812,93708766,94374286,94595298,95001817,95422257,95768300,95777298,96076756,96296197,96726361,97012777,97582846,97727557,97926048,98208847,98808156,98891092,99016798,99197423,99367311,99825843,...,2373606184204111404474934507445030567294314622878467474892094784295629695121381220380587769091723848314638213967265664494812889300089280215344649549122455795692635897017218749101706727955741565246871708656096264967112062301291512392746059668830573995800872555565219428943938336328872630107345066290784755888954720928306055627173735325287445834119021123864306488519597489078583970209799181393434557297443701097787378159593675181013572774699390270698760559890077013963224493209578130467300241012132635230376860792546105186390505262856646638600374112621910839137283926823033262131314297295634486643170177331372492443867677006519127930855807220329221145696046775025527919696200507087479960641590310588137826058587167975638141110701399069460077526057236787582971344028319885266722686579768528315110117960430695340549934949624696357785581965582183177704446714956232084568965862491018062381015690778462574973466581983177698777483340332012633791650976063822197957045833316044485745594499453542437325995555933455876965082531513600410678924183764831558661483622510629988885568123284596487829942142371137463572346545288214057768220973732229070518540775577167820391169184504779128476669127832205111415321752782034595790497924161610340744382799888200777773775364387183224220260320161187711170715722527509270354500571745709234875770423616813780595401608639186736542844041819360195982791932771406322584570891549275941315757843416351836083877459684905568560059817435476485295942163189889426786584547251752324108975847504062847985762380704901189536862773915520799570165572127574990250997477690676636081008771021053919785078940931435047173000639199869173437761318476517729260108438670025981577363805970680266911341200635995948724167477017179810858261574831650253579143728899420209857903421210179497852615800337455022576913380660039487634124916644713641302129264738700303682783226351481263083618690100471130372234786113215724421433759143638589486422595368133750338389819602542540111049679290799769362383675576207682051228792177986392756193491044765409243942157894124059595964898795276973716850570918444788909579025036783344790707259049657600599568110744172336352256195470098158505706490819571109900356793852274351393085095579339938527314883668299901840015268390701062484983828609650657614752039318525015178858143369146585707595872470633216098416161826569793132618180516043298010612560043737857381636814114633755489844883014853884580511330090645271547972058499884837152085340227244429640812719424693899427533948241402118537353655366174715744515292883492276400527899216383431339748988336985011267086714308381614396027218380663339324611837717417957111475581224489445406468783742992571179630420093150732749096034446921154546827325168541374067803295428576480513812898447144003116588053337152885062254329699060030533033418815577830758268097569478904427400245217101639511333701560054153540527218041974826796454295205598777105667522172706148720538752449909476755146967871997160197365547996606318357611324838782050531622658052641559617197769915487072699769866908821661478891935973541478998730776626914683174171713579420649425426290476508371451426826318406542381876180904687083161471104640939432214806607506604665830881785204399322551334823959130456091322981675258572921576105783678447691291331909568632565606693694207523218929656948501022873720375715548710708218594580829392608014298199603765308642337080064259739023129616305903919851810539570732704361053008028798760314777056323486589348264893442227828110460287161069517024701718823014077751480557610744086471133263707813526368637541076672793938278863984657542563211607303168808428683953928156614844239868300391841429683188260632932572410484420101171006129705373036809418557090152010394260964553793476386239749764085428009339295755731855335835934901644150480267938125041174762882713977573053652807485952382227194845354448126042415591927060336793679064901608086815832123902481017260272067025831492377166338610578778058153079710266313798823217687568989380446456351305826713881238741966083930924120358262389293779829410688368437011476720119466664421455631871797407061351546911949641008643132224768772329675571487319621518080695160613328043740770312081966596062698297034693371116599349068052999370828036890330572693890157171243408427997138649432084415480222857127959150740350143701553303828397916491586560139185550308933944399152712739411714621188101535439337094448132746137859965104142946673221355025278476747890084786475371535833369663224265650648823709354631511353754460666394596150847070173672190149126062899367965774111331850807542690154052446281060406083194495655024518319469747995948624354161731011338497502028579997613858862251636493451606143535811952446121538173406957447452164329636129136632629385195710898054539695401812857526257103307208485679822214784170644266271071005855134957491231407552543151068309344934267498448646667996121378288691654249091109808022655150287596343203615744100674882}
30939 4976623905428063269548335031717943658227114374607043083762325509005999278548898798034467: {61874,463965,494896,556758,3554765,3985197,4265718,5780357,6204669,6333065,7599678,7682397,8183465,8222326,8974149,9820158,9896109,10447918,11738229,11746180,12803165,13181917,14095416,14713636,15047997,15230249,15363798,15768949,15857343,15965477,15965997,16002574,16342397,16516509,17061709,17681092,18831310,20033981,20175965,20546997,21019480,21095709,21461397,21524057,22009749,22227709,22527070,22597572,22860820,23646915,24211158,24373870,24899758,25223376,25499446,25970921,26362126,26878189,26935197,27032484,27432984,27812969,28376298,29248644,29279497,29921848,30191381,30673846,30862107,31753870,32535517,32931429,33369389,33662079,34121206,34524958,34743309,34852445,35105397,35409037,35765581,36371949,36427780,36703241,37237157,37660180,38104644,38359869,38427886,38875369,39275869,39419945,40164549,40332365,40525197,40639396,41822934,42138052,42193515,42540238,42687069,43418686,43513829,43592206,43667689,43713336,43819780,44485989,45006416,45192216,45486166,46292341,46462029,46479310,46586644,47303934,48398838,48744580,48752494,49096669,49177503,49216909,49549918,49868349,49983087,50230375,50632218,50841243,50995588,51836469,52583736,52786061,54000964,54767734,54896980,55135606,55763997,55775172,56120469,56954638,57047197,58056280,58163917,58426852,58435197,58493496,58555198,59156703,59184089,59449877,59503675,60276450,60308869,60715669,61062838,61456029,61988397,62274580,63497501,64001566,64056757,64209166,64294880,65186797,65313315,65789086,65805183,65838292,65876376,66249166,66416397,66554878,66946749,67537565,67639054,69185878,69608137,69646420,69667536,70283134,70309870,70813486,71140445,71404410,71923894,71991172,72062349,72331740,72850840,73899166,74110923,74217311,74348997,74493454,74599541,74700429,74729496,75500221,75754149,75820949,76164704,76533965,76819949,76850788,77153856,77696596,77948009,78239620,78375978,78546646,78838936,79085229,79490749,79789549,80056997,80681381,81045078,81057109,81292621,81708909,81957195,82838926,83091310,83269129,83575704,84070683,84371844,84699197,85005250,85074964,85198749,85368534,85685292,85721397,85732894,86573518,86706917,86736670,86798088,87421008,87809829,88072612,88693803,88818349,89007997,89068445,89923126,89961065,90239561,90589029,91384969,91456269,91727380,91766029,91840758,92578678,93626206,93704989,93887544,94022667,95254429,95264997,95581709,95783469,95867254,96384772,96627220,96633304,97089065,97574134,97647849,98348634,98663716,98717397,98750029,99093412,99709572,99923469,...,3560409276306167106712401761167545850941471934317701212338142176443444542682071830570881653637585772471957320950898496742219333950133920323016974323683683693538953845525828123652560091933612347870307562984144397450668093451937268589119089503245860993701308833347829143415907504493308945161017599436177133833432081392459083440760602987931168751178531685796459732779396233617875955314698772090151835946165551646681067239390512771520359162049085406048140839835115520944836739814367195700950361518198952845565291188819157779585757894284969957900561168932866258705925890234549893196971445943451729964755265997058738665801515509778691896283710830493831718544070162538291879544300760631219940962385465882206739087880751963457211666052098604190116289085855181374457016042479827900084029869652792472665176940646043010824902424437044536678372948373274766556670072434348126853448793736527093571523536167693862460199872974766548166225010498018950687476464095733296935568749974066728618391749180313655988993333900183815447623797270400616018386275647247337992225433765944983328352184926894731744913213556706195358519817932321086652331460598343605777811163365751730586753776757168692715003691748307667122982629173051893685746886242415511116574199832301166660663046580774836330390480241781566756073583791263905531750857618563852313655635425220670893102412958780104814266062729040293974187899157109483876856337323913911973636765124527754125816189527358352840089726153214727943913244784834140179876820877628486163463771256094271978643571057351784305294160873281199355248358191362485376496216536014954121513156531580879677618411397152570759500958799803760156641977714776593890162658005038972366045708956020400367011800953993923086251215525769716287392362247475380368715593349130314786855131815269246778923700506182533865370070990059231451187374967070461953193897108050455524174839527221894625428035150706695558352179169823586632150638715457884229633893052200625507584729403813810166574518936199654043575513364311523076843188266979589134290236567148113865913236841186089393947348192915460575275856377667183364368537555175017186060888574486400899352166116258504528384293205147237758559736229356664850535190778411527089627643369009907790972325502449852760022902586051593727475742914475986422128058977787522768287215053719878561393808705949824147624242739854689698927270774064947015918840065606786072455221171950633234767324522280826870766995135967907321958087749827255728128010340866644461219079137040849141300922362103177806030483049262073616772939325238414600791848824575147009623482505477516900630071462572421594040827570995008986917756576126935667213371836734168109703175614488856769445630139726099123644051670381731820240987752812061101704943142864720770719347670716004674882080005729327593381494548590045799550128223366746137402146354218356641100367825652459267000552340081230310790827062962240194681442808398165658501283259059223080808128674864215132720451807995740296048321994909477536416987258173075797433987078962339425796654873230609049654800363232492218337903960312218498096164940372024761257570369130974138139435714762557177140239477609813572814271357030624742206656961409148322209911259906998746322677806598983827002235938695684136984472512887859382364158675517671536936997864352948848410040541311284828394485422751534310580563573323066062327891871244088912021447299405647962963505620096389608534694424458855879777715809356099056541579512043198140472165584485229884022397340163341742165690430741604275537052578234521116627220836416116129706699895561720289552956311615009190907418295976986313844817410954753212643025930892234922266359802450587762144524782390949398858615726630151756509194558059555214127835635228015591391446830690214579359624646128142014008943633597783003753902352466225720401907187561762144324070966359580479211228928573340792268031672189063623387890590505190518597352412130223748185853721525890408100538747238565749507915868167087229619565399470698234826531353484070669684526958740070821858112949125896386180537393583940669744116032552655517215080179199996632183447807696110592027320367924461512964698337153158494513357230979432277121042740919992065611155468122949894094047445552040056674899023602079499056242055335495859040835235756865112641995707974148126623220334285691938726110525215552329955742596874737379840208778325463400916598729069109117571931782152303159005641672199119206789947656214420009832032537917715121835127179713057303750054494836398475973235564031947267030631690999591894226270605260508285223689094349051948661166997776211314035231078669421590609124791743482536777479204621993922936531242596517007746253042869996420788293377454740177409215303717928669182307260110436171178246494454193704948944077793566347081809543102719286289385654960812728519733322176255966399406606508782702436236847111328814726602464017401401247672970001994182067433037481373636664712033982725431394514805423616151012323}
30940 4991843460723581529005939005379675147328952248450473573220238089094298715038485684058178: {92811,433034,618620,742344,835137,896419,1451971,1821979,2191699,2745739,3114739,4035979,4136714,4220011,4875722,5139091,5313596,5687624,5983154,6398577,6720722,6971851,7154731,7702939,8068051,8250499,8272892,9665234,10132904,10243196,10615771,11134034,11399517,11703331,11965532,12246139,12333489,12966794,13093544,13149379,13194812,13510171,13690459,14682725,14730237,14795954,14950459,15489379,15650972,15671877,16986194,17619270,17995771,18174259,18392045,18709291,18793888,18807434,19599571,20063996,20485064,21143124,21287996,22022012,22070454,22101365,22436371,23045697,23163722,24003861,24727699,24903451,24972722,25695314,26181617,26274350,26481979,26521638,27356419,27395996,27880219,28127612,28246965,28576025,28615196,29346332,30130096,30316051,30489499,31529220,31701619,32281544,32910211,33247754,33631168,33790605,33896358,34287139,34291230,34679114,35145379,35316811,35913596,36043312,36172891,36316737,36343891,36560805,36577312,37349637,37402310,37534922,37835064,37879651,38247434,38249169,38730331,38998192,39380614,39543189,40426291,40548726,40595491,41149476,41609179,42451939,42564447,43796611,43872966,43908572,43926794,44467219,44882772,45340874,45534725,45638011,45694034,46010769,46324412,46399922,46807196,46971739,47075225,47138131,47304451,47630805,47969011,48495932,49625371,49920722,49955779,50615731,50799245,50806192,51146492,51181809,51787437,52096411,52672565,52752619,53552732,54033596,54551251,54641670,54774725,55365931,55528651,55763912,56016379,56258020,56490270,56916092,57156966,57313819,57641829,58233305,58284448,58929139,59314652,59354954,59734099,60055579,60256288,60930725,60959094,61090514,61949372,62734401,63071912,63207078,63744485,63810357,64208611,64367371,64531784,64896074,65128029,65388309,65570004,65729670,65792971,66108979,66491132,66644116,66740131,67501205,67509624,67788324,67998979,68229249,68312971,68469859,68621225,68984069,69096691,69115292,69566059,69718965,69722371,69879966,70111648,70502851,70955901,71903179,72570350,72598257,73033565,73116870,73128741,73452259,74224099,74324877,74351996,74366896,74532331,74827292,75147931,75301651,75948327,76493382,76528819,76888754,76987819,77843225,77913596,77991328,78208651,78513139,78587594,78875604,79879771,80368600,81001446,81542179,81941372,82151601,82294939,82297865,82345470,82651196,82703409,82745731,83662758,83795059,84393091,84554141,85431957,86031739,87058025,87084420,87218011,87640278,87740244,87832797,87835168,87957091,88547059,88555196,88841611,89262332,89988965,90016939,90414675,91047122,91063550,91594257,91771291,91917019,92644579,92890048,93370339,93411870,93852934,93949651,95104819,95205880,95377994,95824459,96002349,96063485,96083132,96313749,96442320,96828931,97120745,97491317,97699922,97799525,98548670,98683629,98757438,98814564,99131996,99373749,99600572,99639328,99821179,99832317,...,4747212368408222808949869014890061134588629245756934949784189568591259390242762440761175538183447696629276427934531328989625778600178560430689299098244911591385271794034437498203413455911483130493743417312192529934224124602583024785492119337661147991601745111130438857887876672657745260214690132581569511777909441856612111254347470650574891668238042247728612977039194978157167940419598362786869114594887402195574756319187350362027145549398780541397521119780154027926448986419156260934600482024265270460753721585092210372781010525713293277200748225243821678274567853646066524262628594591268973286340354662744984887735354013038255861711614440658442291392093550051055839392401014174959921283180621176275652117174335951276282221402798138920155052114473575165942688056639770533445373159537056630220235920861390681099869899249392715571163931164366355408893429912464169137931724982036124762031381556925149946933163966355397554966680664025267583301952127644395914091666632088971491188998907084874651991111866911753930165063027200821357848367529663117322967245021259977771136246569192975659884284742274927144693090576428115536441947464458141037081551154335640782338369009558256953338255664410222830643505564069191580995848323220681488765599776401555547550728774366448440520640322375422341431445055018540709001143491418469751540847233627561190803217278373473085688083638720391965583865542812645169141783098551882631515686832703672167754919369811137120119634870952970591884326379778853573169094503504648217951695008125695971524761409802379073725547831041599140331144255149980501994955381353272162017542042107839570157881862870094346001278399738346875522636953035458520216877340051963154727611941360533822682401271991897448334954034359621716523149663300507158287457798840419715806842420358995705231600674910045153826761320078975268249833289427282604258529477400607365566452702962526167237380200942260744469572226431448842867518287277178972845190736267500676779639205085080222099358581599538724767351152415364102457584355972785512386982089530818487884315788248119191929797590553947433701141836889577819158050073566689581414518099315201199136221488344672704512390940196317011412981639142219800713587704548702786170191158679877054629767336599803680030536781402124969967657219301315229504078637050030357716286738293171415191744941266432196832323653139586265236361032086596021225120087475714763273628229267510979689766029707769161022660181290543095944116999769674304170680454488859281625438849387798855067896482804237074707310732349431489030585766984552801055798432766862679497976673970022534173428616763228792054436761326678649223675434835914222951162448978890812937567485985142359260840186301465498192068893842309093654650337082748135606590857152961027625796894288006233176106674305770124508659398120061066066837631155661516536195138957808854800490434203279022667403120108307081054436083949653592908590411197554211335044345412297441077504899818953510293935743994320394731095993212636715222649677564101063245316105283119234395539830974145399539733817643322957783871947082957997461553253829366348343427158841298850852580953016742902853652636813084763752361809374166322942209281878864429613215013209331661763570408798645102669647918260912182645963350517145843152211567356895382582663819137265131213387388415046437859313897002045747440751431097421416437189161658785216028596399207530617284674160128519478046259232611807839703621079141465408722106016057597520629554112646973178696529786884455656220920574322139034049403437646028155502961115221488172942266527415627052737275082153345587876557727969315085126423214606337616857367907856313229688479736600783682859366376521265865144820968840202342012259410746073618837114180304020788521929107586952772479499528170856018678591511463710671671869803288300960535876250082349525765427955146107305614971904764454389690708896252084831183854120673587358129803216173631664247804962034520544134051662984754332677221157556116306159420532627597646435375137978760892912702611653427762477483932167861848240716524778587559658821376736874022953440238933328842911263743594814122703093823899282017286264449537544659351142974639243036161390321226656087481540624163933192125396594069386742233198698136105998741656073780661145387780314342486816855994277298864168830960445714255918301480700287403106607656795832983173120278371100617867888798305425478823429242376203070878674188896265492275719930208285893346442710050556953495780169572950743071666739326448531301297647418709263022707508921332789192301694140347344380298252125798735931548222663701615085380308104892562120812166388991310049036638939495991897248708323462022676995004057159995227717724503272986903212287071623904892243076346813914894904328659272258273265258770391421796109079390803625715052514206614416971359644429568341288532542142011710269914982462815105086302136618689868534996897293335992242756577383308498182219616045310300575192686407231488201349764}
30941 5007109293182574206537867120634839657554122244694893617216808601497147118713296855806960: {30941,123748,649551,773275,927930,989792,1113516,4976671,6205071,6460399,6641995,6831331,7109530,7313583,7970394,8531436,8866291,8974731,10081083,10341115,11456851,11560714,12409338,12573451,12666130,12803995,14497851,14956915,15199356,15364794,16280611,16366930,16444652,16493515,16701051,17022043,17924431,17948298,18868291,19450191,19563715,19640316,19792218,20035279,20713099,20895836,22193931,22574011,23476458,23492360,23676523,24056299,24100879,25079995,25479291,25606330,26279731,26363834,26428905,26609995,26809519,27527515,27762019,27814771,28190832,28211151,28246351,29427272,30095994,30193339,30460498,30727596,31085083,31537898,31714686,31930954,31931994,32005148,32684794,33033018,33105681,33371551,34123418,34244995,34251019,34745583,35159515,35362184,35680723,35768995,36682915,36705619,37239571,37459083,37662620,38286091,38305531,38493643,38542971,39234499,39411525,39782457,40067962,40351930,41093994,41617999,41875663,42038960,42191418,42922794,43031791,43048114,43516651,44019498,44455418,44891995,45054140,45195144,45721640,47293830,47430283,47541391,48422316,48633103,48747740,48793423,49799516,49871631,50446752,50450059,50844537,50998892,51436845,51873979,51941842,52018671,52724252,52789483,53144971,53756378,53870394,54064968,54575419,54865968,54885715,55187923,55625938,56034463,56056123,56103465,56302383,56426479,56465311,56511631,56752596,57371151,57905515,58497288,58508995,58530571,58558994,59070921,59453731,59843696,60382762,60498811,60619915,60823089,61347692,61724214,62349871,63106963,63501619,63507740,63933115,65071034,65286163,65809449,65862858,65890191,66146923,66738778,66940915,67324158,67541995,67876639,68011311,68242412,68541051,69049916,69486618,69599883,69704890,70210794,70322525,70818074,71145115,71531162,71587891,72743898,72855560,73406482,74143315,74205403,74474314,74604379,74881083,75320360,75324271,76209288,76665391,76719738,76824931,76855772,77128339,77238163,77436715,77750738,78238543,78551738,78676411,78839890,78994291,80329098,80664730,81050394,81278792,81356539,81962505,83113915,83305145,83645868,84276104,84387030,84735405,85080476,85374138,85735449,86394115,86837372,87027658,87118363,87184412,87319123,87335378,87426672,87639560,88971978,89032431,89743219,90012832,90384432,90725899,90972332,91438641,91635771,92026483,92584682,92924058,92939995,92958620,93173288,93534115,94552591,94607868,94736059,94810617,95350723,96402283,96462979,96797676,96990931,97344111,97368283,97391995,97489160,97504988,98193338,98355006,98433818,98594505,98743051,99099836,99596623,99736698,99966174,...,7120818552612334213424803522335091701882943868635402424676284352886889085364143661141763307275171544943914641901796993484438667900267840646033948647367367387077907691051656247305120183867224695740615125968288794901336186903874537178238179006491721987402617666695658286831815008986617890322035198872354267666864162784918166881521205975862337502357063371592919465558792467235751910629397544180303671892331103293362134478781025543040718324098170812096281679670231041889673479628734391401900723036397905691130582377638315559171515788569939915801122337865732517411851780469099786393942891886903459929510531994117477331603031019557383792567421660987663437088140325076583759088601521262439881924770931764413478175761503926914423332104197208380232578171710362748914032084959655800168059739305584945330353881292086021649804848874089073356745896746549533113340144868696253706897587473054187143047072335387724920399745949533096332450020996037901374952928191466593871137499948133457236783498360627311977986667800367630895247594540801232036772551294494675984450867531889966656704369853789463489826427113412390717039635864642173304662921196687211555622326731503461173507553514337385430007383496615334245965258346103787371493772484831022233148399664602333321326093161549672660780960483563133512147167582527811063501715237127704627311270850441341786204825917560209628532125458080587948375798314218967753712674647827823947273530249055508251632379054716705680179452306429455887826489569668280359753641755256972326927542512188543957287142114703568610588321746562398710496716382724970752992433072029908243026313063161759355236822794305141519001917599607520313283955429553187780325316010077944732091417912040800734023601907987846172502431051539432574784724494950760737431186698260629573710263630538493557847401012365067730740141980118462902374749934140923906387794216100911048349679054443789250856070301413391116704358339647173264301277430915768459267786104401251015169458807627620333149037872399308087151026728623046153686376533959178268580473134296227731826473682372178787894696385830921150551712755334366728737075110350034372121777148972801798704332232517009056768586410294475517119472458713329701070381556823054179255286738019815581944651004899705520045805172103187454951485828951972844256117955575045536574430107439757122787617411899648295248485479709379397854541548129894031837680131213572144910442343901266469534649044561653741533990271935814643916175499654511456256020681733288922438158274081698282601844724206355612060966098524147233545878650476829201583697649150294019246965010955033801260142925144843188081655141990017973835513152253871334426743673468336219406351228977713538891260279452198247288103340763463640481975505624122203409886285729441541438695341432009349764160011458655186762989097180091599100256446733492274804292708436713282200735651304918534001104680162460621581654125924480389362885616796331317002566518118446161616257349728430265440903615991480592096643989818955072833974516346151594867974157924678851593309746461218099309600726464984436675807920624436996192329880744049522515140738261948276278871429525114354280478955219627145628542714061249484413313922818296644419822519813997492645355613197967654004471877391368273968945025775718764728317351035343073873995728705897696820081082622569656788970845503068621161127146646132124655783742488177824042894598811295925927011240192779217069388848917711759555431618712198113083159024086396280944331168970459768044794680326683484331380861483208551074105156469042233254441672832232259413399791123440579105912623230018381814836591953972627689634821909506425286051861784469844532719604901175524289049564781898797717231453260303513018389116119110428255671270456031182782893661380429158719249292256284028017887267195566007507804704932451440803814375123524288648141932719160958422457857146681584536063344378127246775781181010381037194704824260447496371707443051780816201077494477131499015831736334174459239130798941396469653062706968141339369053917480141643716225898251792772361074787167881339488232065105311034430160358399993264366895615392221184054640735848923025929396674306316989026714461958864554242085481839984131222310936245899788188094891104080113349798047204158998112484110670991718081670471513730225283991415948296253246440668571383877452221050431104659911485193749474759680417556650926801833197458138218235143863564304606318011283344398238413579895312428840019664065075835430243670254359426114607500108989672796951946471128063894534061263381999183788452541210521016570447378188698103897322333995552422628070462157338843181218249583486965073554958409243987845873062485193034015492506085739992841576586754909480354818430607435857338364614520220872342356492988908387409897888155587132694163619086205438572578771309921625457039466644352511932798813213017565404872473694222657629453204928034802802495345940003988364134866074962747273329424067965450862789029610847232302024646}
30942 5022421542708076166764440561823138233591964508768151907135119818187091268560077815710896: {154685,185622,340241,866068,958241,1237240,1391895,1484688,1670274,1792838,1883741,2191841,2253437,2561297,2745917,2903942,3114941,3176417,3483677,3643958,4281617,4383398,5491478,5506577,6229478,7033277,7338017,8071958,8273428,8311841,8440022,8615741,8980157,9526241,9751444,10278182,10627192,10664295,10676957,11375248,11704097,11885117,11955591,11966308,12797154,13210397,13441444,13691357,13943702,14309462,15405878,16136102,16500998,16545784,17341071,18234941,18614007,18769937,18999195,19330468,20265808,20371037,20486392,20555815,20666897,21198941,21231542,21730337,22268068,22320017,22799034,22967741,23047191,23320637,23406662,23931064,24377597,24492278,24550395,24666978,24787937,24963677,25256417,25665917,25748863,25933588,26119795,26187088,26298758,26389624,26542097,26922447,27020342,27380918,27882077,28579517,29365450,29449697,29460474,29591908,29688327,29900918,30549341,30941911,30978758,31301944,31343754,31703741,31761377,31934237,32567441,33084797,33486737,33972388,34346717,35147741,35214687,35238540,35718941,35991542,36348518,36784090,37370897,37418582,37587776,37614868,37938977,38409495,38562941,39199142,39545751,40006435,40127992,40259741,40598237,40970128,42286248,42575992,43015697,43855517,44044024,44135057,44140908,44202730,44872742,45028241,45143991,45362657,45641117,45690747,45808097,46091394,46327444,46364177,47078275,47196797,47306847,47572029,47896431,47897991,48007722,49027191,49455398,49549527,49683857,49806902,49945444,50289341,50619197,50838941,51185127,51390628,52154717,52363234,52548700,52756241,52963958,53043276,54609377,54712838,54791992,55760438,56074397,56255224,56317675,56493930,57152050,57230392,57695357,58692664,59577377,60101943,60113297,60260192,60527895,60541457,60632102,60934675,60978998,61342877,61640991,61982717,62249395,63058440,63287127,63403238,63577277,63748615,64266017,64384191,64563088,64572171,65164637,65375741,65692157,65820422,65905315,66029247,66166241,66495508,66683127,66902417,67217441,67262336,67581210,67741841,67792716,68056097,68317757,68574278,68582460,69358228,70290758,70633622,70940745,71118943,71182817,71827192,71908241,72086624,72115217,72345782,72373757,72633474,72687782,73121610,73154624,73457441,73508957,73741591,74537597,74699274,74804620,75069844,75204497,75306977,75670128,75759302,76494868,76498338,76585277,76684615,77044241,77298941,77460662,77912763,77996384,78569441,78761228,79086378,79278737,79384675,79632797,79885457,80339741,80634567,80805591,80852582,81097452,81190982,81526627,82298952,83218358,83438907,83801057,83850941,84399137,84846941,84903878,85045757,85128894,85303015,86312395,86779937,87593222,87745932,87817144,87838491,87853588,87864977,88012637,88553441,88848017,88934438,88995197,89242279,89765544,90023441,90072317,90574143,90681748,91069450,91276022,91388068,91972241,92021538,92586321,92648824,92651297,92699741,92799844,93425441,93614392,93943478,93956477,94150450,94276262,94438397,94501687,94608902,95111741,95159777,95261610,95938022,96069715,96310241,96835997,96991864,97606551,97979741,98739677,98794287,99250742,99450257,99828497,99841444,99911558,...,10681227828918501320137205283502637552824415802953103637014426529330333628046215491712644960912757317415871962852695490226658001850401760969050922971051051080616861536577484370957680275800837043610922688952433192352004280355811805767357268509737582981103926500043487430247722513479926835483052798308531401500296244177377250322281808963793506253535595057389379198338188700853627865944096316270455507838496654940043201718171538314561077486147256218144422519505346562834510219443101587102851084554596858536695873566457473338757273682854909873701683506798598776117777670703649679590914337830355189894265797991176215997404546529336075688851132491481495155632210487614875638632902281893659822887156397646620217263642255890371634998156295812570348867257565544123371048127439483700252089608958377417995530821938129032474707273311133610035118845119824299670010217303044380560346381209581280714570608503081587380599618924299644498675031494056852062429392287199890806706249922200185855175247540940967966980001700551446342871391811201848055158826941742013976676301297834949985056554780684195234739640670118586075559453796963259956994381795030817333433490097255191760261330271506078145011075244923001368947887519155681057240658727246533349722599496903499981989139742324508991171440725344700268220751373791716595252572855691556940966906275662012679307238876340314442798188187120881922563697471328451630569011971741735920910295373583262377448568582075058520269178459644183831739734354502420539630462632885458490391313768282815935930713172055352915882482619843598065745074574087456129488649608044862364539469594742639032855234191457712278502876399411280469925933144329781670487974015116917098137126868061201101035402861981769258753646577309148862177086742426141106146780047390944360565395445807740336771101518547601596110212970177694353562124901211385859581691324151366572524518581665683876284105452120086675056537509470759896451916146373652688901679156601876522754188211441430499723556808598962130726540092934569230529564800938767402870709701444341597739710523558268181842044578746381725827569133001550093105612665525051558182665723459202698056498348775513585152879615441713275679208688069994551605572335234581268882930107029723372916976507349558280068707758154781182427228743427959266384176933362568304861645161159635684181426117849472442872728219564069096781812322194841047756520196820358217365663515851899704301973566842480612300985407903721965874263249481767184384031022599933383657237411122547423902767086309533418091449147786220850318817975715243802375546473725441028870447516432550701890214387717264782122482712985026960753269728380807001640115510202504329109526843466570308336890419178297370932155011145195460722963258436183305114829428594162312158043012148014024646240017187982780144483645770137398650384670100238412206439062655069923301103476957377801001657020243690932372481188886720584044328425194496975503849777177669242424386024592645398161355423987220888144965984728432609250961774519227392301961236887018277389964619691827148964401089697476655013711880936655494288494821116074283772711107392922414418307144287671531420718432829440718442814071091874226619970884227444966629733779720996238968033419796951481006707816087052410953417538663578147092476026553014610810993593058846545230121623933854485183456268254602931741690719969198186983675613732266736064341898216943888890516860289168825604083273376567639333147428068297169624738536129594421416496753455689652067192020490025226497071292224812826611157734703563349881662509248348389120099686685160868658868934845027572722254887930958941534452232864259637929077792676704766799079407351763286433574347172848196575847179890455269527583674178665642383506905684046774174340492070643738078873938384426042026830900793349011261707057398677161205721562685286432972212899078741437633686785720022376804095016567190870163671771515571555792057236390671244557561164577671224301616241715697248523747604501261688858696198412094704479594060452212009053580876220212465574338847377689158541612180751822009232348097657966551645240537599989896550343423088331776081961103773384538894095011459475483540071692938296831363128222759976196833466404368849682282142336656120170024697070806238497168726166006487577122505707270595337925987123922444379869661002857075816178331575646656989867227790624212139520626334976390202749796187207327352715795346456909477016925016597357620369842968643260029496097613753145365505381539139171911250163484509195427919706692095841801091895072998775682678811815781524855671067283047155845983500993328633942105693236008264771827374375230447610332437613865981768809593727789551023238759128609989262364880132364220532227645911153786007546921780331308513534739483362581114846832233380699041245428629308157858868156964882438185559199966528767899198219819526348107308710541333986444179807392052204203743018910005982546202299112444120909994136101948176294183544416270848453036969}
30943 5037780349623637043081055371945652787394789249695097150851639217105496589715361709176758: {61882,247496,278433,1082585,1299102,1546550,1855860,1979584,2227032,2505411,2689257,4355913,5465937,6575097,7635017,8237217,9298793,9344217,9953342,10341785,12107937,12189305,12410142,12660033,12920798,13283990,13662662,14219060,14477561,14627166,14859533,14957885,15417273,15940788,16801805,17062872,17732582,17925593,17949462,18195977,19195731,20162166,20682230,20714441,20915553,20939681,21464193,22913702,23090921,23108817,23121428,23678057,24163085,24204153,24479117,24751497,24779777,24818676,25146902,25229777,25332260,25607990,26811257,27389201,27835085,28482857,28995702,29676641,29913830,30398712,30729588,31087097,31683977,31847313,32416985,32561222,32733860,32889304,32987030,33402102,34044086,34198551,34929257,35109993,35111993,35148401,35683037,35848862,35896596,36738417,36989885,37000467,37253993,37736582,38288573,38496137,38538521,38900382,39127430,39237041,39280632,39448137,39584436,40070558,40478477,40530513,41071377,41148377,41426198,41620697,41791672,42259661,42465485,42790337,43295177,44048175,44190711,44387862,44851377,45148022,45270173,46468137,46952916,46984720,47015631,47018585,47353046,47544473,47942993,48112598,48201758,48636257,49223321,50076593,50159990,50701337,50837021,50855753,50958582,51127241,51212660,51356081,52559462,52727668,52857810,53219990,53619038,53663801,53987313,54404417,54522777,54578957,55055030,55176135,55524038,55629542,56038097,56127873,56381664,56422302,56430137,56492702,57103901,57909305,58339241,58798713,58854544,59622797,60191988,60386678,60502733,60920996,61455192,62170166,62353913,62431805,62650961,62807693,62848793,63075796,63429372,63861908,63863988,64010296,64238285,65290397,65369588,65685875,66066036,66211362,66304095,66743102,66786473,67309113,67881041,68246836,68489990,68502038,69137091,69172493,69491166,69788657,70319030,70724368,71361446,71537990,72011583,73005473,73365830,73411238,74183097,74479142,74710353,74918166,75325240,76449881,76572182,76611062,76840001,76987286,77085942,77133341,77340857,78243617,78468998,78544851,78823050,79323017,79445937,79564914,80135924,80703860,80890697,81067721,81912593,82069257,82187988,83119385,83235998,83640657,83751326,84077920,84382836,84740895,84867881,85244273,85728075,85845588,86063582,86096228,86688221,86697785,87033302,88038996,88287737,88910836,89019593,89506361,89783990,90108280,90390288,90604553,90948153,91400441,91443280,91468497,92271197,92981213,93505775,93717281,93837305,94120937,94558793,94587660,94860566,95082782,95104857,95410337,95618585,96148637,96844632,97080521,97266206,97495480,97586846,97591961,98373137,98406857,98451535,98730633,99599032,99603161,99670157,99743262,...,14241637105224668426849607044670183403765887737270804849352568705773778170728287322283526614550343089887829283803593986968877335800535681292067897294734734774155815382103312494610240367734449391481230251936577589802672373807749074356476358012983443974805235333391316573663630017973235780644070397744708535333728325569836333763042411951724675004714126743185838931117584934471503821258795088360607343784662206586724268957562051086081436648196341624192563359340462083779346959257468782803801446072795811382261164755276631118343031577139879831602244675731465034823703560938199572787885783773806919859021063988234954663206062039114767585134843321975326874176280650153167518177203042524879763849541863528826956351523007853828846664208394416760465156343420725497828064169919311600336119478611169890660707762584172043299609697748178146713491793493099066226680289737392507413795174946108374286094144670775449840799491899066192664900041992075802749905856382933187742274999896266914473566996721254623955973335600735261790495189081602464073545102588989351968901735063779933313408739707578926979652854226824781434079271729284346609325842393374423111244653463006922347015107028674770860014766993230668491930516692207574742987544969662044466296799329204666642652186323099345321561920967126267024294335165055622127003430474255409254622541700882683572409651835120419257064250916161175896751596628437935507425349295655647894547060498111016503264758109433411360358904612858911775652979139336560719507283510513944653855085024377087914574284229407137221176643493124797420993432765449941505984866144059816486052626126323518710473645588610283038003835199215040626567910859106375560650632020155889464182835824081601468047203815975692345004862103078865149569448989901521474862373396521259147420527261076987115694802024730135461480283960236925804749499868281847812775588432201822096699358108887578501712140602826782233408716679294346528602554861831536918535572208802502030338917615255240666298075744798616174302053457246092307372753067918356537160946268592455463652947364744357575789392771661842301103425510668733457474150220700068744243554297945603597408664465034018113537172820588951034238944917426659402140763113646108358510573476039631163889302009799411040091610344206374909902971657903945688512235911150091073148860214879514245575234823799296590496970959418758795709083096259788063675360262427144289820884687802532939069298089123307483067980543871629287832350999309022912512041363466577844876316548163396565203689448412711224121932197048294467091757300953658403167395298300588038493930021910067602520285850289686376163310283980035947671026304507742668853487346936672438812702457955427077782520558904396494576206681526927280963951011248244406819772571458883082877390682864018699528320022917310373525978194360183198200512893466984549608585416873426564401471302609837068002209360324921243163308251848960778725771233592662634005133036236892323232514699456860530881807231982961184193287979637910145667949032692303189735948315849357703186619492922436198619201452929968873351615841248873992384659761488099045030281476523896552557742859050228708560957910439254291257085428122498968826627845636593288839645039627994985290711226395935308008943754782736547937890051551437529456634702070686147747991457411795393640162165245139313577941691006137242322254293292264249311567484976355648085789197622591851854022480385558434138777697835423519110863237424396226166318048172792561888662337940919536089589360653366968662761722966417102148210312938084466508883345664464518826799582246881158211825246460036763629673183907945255379269643819012850572103723568939689065439209802351048578099129563797595434462906520607026036778232238220856511342540912062365565787322760858317438498584512568056035774534391132015015609409864902881607628750247048577296283865438321916844915714293363169072126688756254493551562362020762074389409648520894992743414886103561632402154988954262998031663472668348918478261597882792939306125413936282678738107834960283287432451796503585544722149574335762678976464130210622068860320716799986528733791230784442368109281471697846051858793348612633978053428923917729108484170963679968262444621872491799576376189782208160226699596094408317996224968221341983436163340943027460450567982831896592506492881337142767754904442100862209319822970387498949519360835113301853603666394916276436470287727128609212636022566688796476827159790624857680039328130151670860487340508718852229215000217979345593903892942256127789068122526763998367576905082421042033140894756377396207794644667991104845256140924314677686362436499166973930147109916818487975691746124970386068030985012171479985683153173509818960709636861214871714676729229040441744684712985977816774819795776311174265388327238172410877145157542619843250914078933288705023865597626426035130809744947388445315258906409856069605604990691880007976728269732149925494546658848135930901725578059221694464604049292}
30944 5053185854674577924971293249194482790053305467846790489363726258505294556851210874221015: {92823,216559,309370,371244,402103,680482,1732136,1916482,1948653,2253583,2319825,2474480,2783790,2969376,3176623,3340548,3585676,3767482,3913759,4383682,4506874,5017303,5122594,5491834,5568103,5807884,6229882,6352834,6967354,7287916,7399423,8563234,8677063,8766796,9405559,9587503,10982956,11013154,11221759,12458956,14066554,14676034,14930013,16143916,16448023,16546856,16623682,16880044,17231482,17521759,17773825,17960314,18615213,19052482,19127503,19381197,19502888,19925985,20372383,20493993,20556364,20904823,21254384,21328590,21353914,21940749,22144663,22750496,22851559,23408194,23770234,23911182,23932616,24437863,25594308,25667623,26420794,26598873,26882888,26924193,27382714,27887404,28618924,28778141,28901785,29857159,30243249,30811756,31023345,31665325,31763503,32272204,32627143,33001996,33091568,34370553,34682142,36469882,36567713,37228014,37539874,37720353,37998390,38411985,38622223,38660936,40531616,40742074,40917325,40972784,41111630,41142541,41333794,42397882,42463084,43354783,43460674,43493553,44536136,44640034,44870745,45365743,45598068,45935482,46094382,46641274,46813324,46867159,47862128,48528559,48755194,48841833,48984556,49100790,49333956,49480545,49521943,49575874,49927354,50103153,50347783,50512834,51066129,51171823,51331834,51497726,51829759,51867176,52239590,52374176,52597516,52779248,53084194,53773293,53844894,54040684,54286759,54761836,55764154,56009009,56604873,57159034,58184263,58345759,58350573,58691145,58730900,58899394,58920948,59183816,59376654,59801836,60105837,61098682,61400503,61560559,61883822,61957516,62139297,62603888,62687508,63407482,63522754,63793783,63868474,64015825,65134882,65380303,65538559,65909585,66169594,66581793,66959623,66973474,67117159,67722033,67746583,67944776,68693434,70252759,70295482,70429374,70477080,71029569,71437882,71983084,72168897,72302637,72430543,72585559,72697036,73514143,73568180,74741794,74837164,74902159,75175552,75229736,75239985,75877954,76151245,76437873,76818990,77125882,78398284,78839193,78844745,79091502,79286715,79638463,79827385,79829985,80012870,80244559,80255984,80428557,80519482,81000559,81196474,81711985,81754759,81940256,82582545,83286057,83444313,83856943,84572496,84633453,84739053,85151984,85308545,85349863,86031394,86835583,87149153,87711034,88088048,88270114,88281816,88314103,88405460,89248061,89745484,90056482,90078823,90287982,90518383,90580017,90725314,91282234,91381494,91541503,91616194,92182788,92267441,92654888,92706463,92728354,93255249,94156550,94393594,94613694,95022559,95144058,95166703,95792862,95795982,96015444,96460759,97177159,98034463,98054382,98604559,98910796,99099054,99317043,99367714,99613804,99890888,...,21362455657837002640274410567005275105648831605906207274028853058660667256092430983425289921825514634831743925705390980453316003700803521938101845942102102161233723073154968741915360551601674087221845377904866384704008560711623611534714537019475165962207853000086974860495445026959853670966105596617062803000592488354754500644563617927587012507071190114778758396676377401707255731888192632540911015676993309880086403436343076629122154972294512436288845039010693125669020438886203174205702169109193717073391747132914946677514547365709819747403367013597197552235555341407299359181828675660710379788531595982352431994809093058672151377702264982962990311264420975229751277265804563787319645774312795293240434527284511780743269996312591625140697734515131088246742096254878967400504179217916754835991061643876258064949414546622267220070237690239648599340020434606088761120692762419162561429141217006163174761199237848599288997350062988113704124858784574399781613412499844400371710350495081881935933960003401102892685742783622403696110317653883484027953352602595669899970113109561368390469479281340237172151118907593926519913988763590061634666866980194510383520522660543012156290022150489846002737895775038311362114481317454493066699445198993806999963978279484649017982342881450689400536441502747583433190505145711383113881933812551324025358614477752680628885596376374241763845127394942656903261138023943483471841820590747166524754897137164150117040538356919288367663479468709004841079260925265770916980782627536565631871861426344110705831764965239687196131490149148174912258977299216089724729078939189485278065710468382915424557005752798822560939851866288659563340975948030233834196274253736122402202070805723963538517507293154618297724354173484852282212293560094781888721130790891615480673542203037095203192220425940355388707124249802422771719163382648302733145049037163331367752568210904240173350113075018941519792903832292747305377803358313203753045508376422882860999447113617197924261453080185869138461059129601877534805741419402888683195479421047116536363684089157492763451655138266003100186211225331050103116365331446918405396112996697551027170305759230883426551358417376139989103211144670469162537765860214059446745833953014699116560137415516309562364854457486855918532768353866725136609723290322319271368362852235698944885745456439128138193563624644389682095513040393640716434731327031703799408603947133684961224601970815807443931748526498963534368768062045199866767314474822245094847805534172619066836182898295572441700637635951430487604751092947450882057740895032865101403780428775434529564244965425970053921506539456761614003280231020405008658219053686933140616673780838356594741864310022290390921445926516872366610229658857188324624316086024296028049292480034375965560288967291540274797300769340200476824412878125310139846602206953914755602003314040487381864744962377773441168088656850388993951007699554355338484848772049185290796322710847974441776289931969456865218501923549038454784603922473774036554779929239383654297928802179394953310027423761873310988576989642232148567545422214785844828836614288575343062841436865658881436885628142183748453239941768454889933259467559441992477936066839593902962013415632174104821906835077327156294184952053106029221621987186117693090460243247867708970366912536509205863483381439938396373967351227464533472128683796433887777781033720578337651208166546753135278666294856136594339249477072259188842832993506911379304134384040980050452994142584449625653222315469407126699763325018496696778240199373370321737317737869690055145444509775861917883068904465728519275858155585353409533598158814703526572867148694345696393151694359780910539055167348357331284767013811368093548348680984141287476157747876768852084053661801586698022523414114797354322411443125370572865944425798157482875267373571440044753608190033134381740327343543031143111584114472781342489115122329155342448603232483431394497047495209002523377717392396824189408959188120904424018107161752440424931148677694755378317083224361503644018464696195315933103290481075199979793100686846176663552163922207546769077788190022918950967080143385876593662726256445519952393666932808737699364564284673312240340049394141612476994337452332012975154245011414541190675851974247844888759739322005714151632356663151293313979734455581248424279041252669952780405499592374414654705431590692913818954033850033194715240739685937286520058992195227506290731010763078278343822500326969018390855839413384191683602183790145997551365357623631563049711342134566094311691967001986657267884211386472016529543654748750460895220664875227731963537619187455579102046477518257219978524729760264728441064455291822307572015093843560662617027069478966725162229693664466761398082490857258616315717736313929764876371118399933057535798396439639052696214617421082667972888359614784104408407486037820011965092404598224888241819988272203896352588367088832541696906073938}
30945 5068638199029251779225207645943805432521214266200325633680917367377361268410128987874157: {123764,464055,494992,556866,1020723,1515619,2165170,2598204,2874723,3093100,3711720,3959168,4175685,4454064,4482095,5010822,5378514,5651223,6575523,6760311,7259855,7683891,7820483,8237751,8711826,8933279,9109895,9344823,9529251,10451031,10931874,10958495,12844851,13150194,13728695,13932743,14478499,15270034,15573695,16474434,16519731,17065027,18003623,18597586,18688434,19906684,20179895,20605631,20683570,20941039,21099831,21100055,22014051,23522527,24215874,24378610,24480703,24673919,24820284,24935523,25320066,25695455,25841596,25847223,26567980,26940471,27325324,28166963,28438120,28578723,28955122,29120783,29254332,29285191,29719066,29915770,30834546,30961607,31686031,31881576,31992885,32030871,33603610,33828319,34125744,34859255,35112291,35465164,35655351,35773655,35851186,35866773,35898924,36391954,37629311,38391462,38514695,38969119,39283507,39631191,40324332,40340255,41074071,41151043,41252495,41280031,41364460,41428882,41831106,41879362,42074447,42262399,42793111,42928386,44387123,45383779,45827404,46181842,46217634,46242856,46659407,47356114,48326170,48408306,48958234,49502994,49559554,49637352,50293804,50379683,50459554,50664520,51215980,51785839,52023213,53078855,53622514,54704823,54778402,55670170,55842021,56309811,56817847,56965714,56997585,57058291,57991404,58343023,58516655,58871651,59353282,59451679,59827660,60423103,60797424,61113111,61230695,61459176,61667445,62000691,62174194,63367954,63596823,63694626,63822007,64833970,65122444,65191011,65467720,65746895,65778608,65826019,65974060,66804204,66960051,67039223,67550855,68088172,68149859,68397102,68452295,68903223,69141573,69793183,69858514,69961911,70219986,70223986,70296802,71366074,71697724,71793192,73132791,73413625,73476834,73651185,73979770,74000934,74363811,74507986,74752295,74891031,75473164,75769251,76454839,76577146,76675379,76992274,76997751,77077042,77246589,77446895,77800764,78254860,78359385,78474082,78561264,78896274,79168872,79626291,80072591,80141116,80767341,80895943,80956954,81061026,81073027,82142754,82296754,82852396,83241394,83583344,83646231,84519322,84930970,85516547,85580674,85738551,86590354,86626751,86723879,87404527,88096350,88349091,88381422,88731203,88775724,89064981,89702754,89933599,89978855,90113167,90296044,90540346,90871295,91402831,91648023,91960225,92666719,92825733,92936274,93546455,93905832,93969440,94031262,94037170,94706092,95088946,95111223,95273011,95284131,95600327,95802711,95885986,96225196,96403516,96772231,97272514,97702323,97997855,98446642,99254391,...,32043683486755503960411615850507912658473247408859310911043279587991000884138646475137934882738271952247615888558086470679974005551205282907152768913153153241850584609732453112873040827402511130832768066857299577056012841067435417302071805529212748943311779500130462290743167540439780506449158394925594204500888732532131750966845426891380518760606785172168137595014566102560883597832288948811366523515489964820129605154514614943683232458441768654433267558516039688503530658329304761308553253663790575610087620699372420016271821048564729621105050520395796328353333012110949038772743013491065569682797393973528647992213639588008227066553397474444485466896631462844626915898706845680979468661469192939860651790926767671114904994468887437711046601772696632370113144382318451100756268826875132253986592465814387097424121819933400830105356535359472899010030651909133141681039143628743842143711825509244762141798856772898933496025094482170556187288176861599672420118749766600557565525742622822903900940005101654339028614175433605544165476480825226041930028903893504849955169664342052585704218922010355758226678361390889779870983145385092452000300470291765575280783990814518234435033225734769004106843662557467043171721976181739600049167798490710499945967419226973526973514322176034100804662254121375149785757718567074670822900718826986038037921716629020943328394564561362645767691092413985354891707035915225207762730886120749787132345705746225175560807535378932551495219203063507261618891387898656375471173941304848447807792139516166058747647447859530794197235223722262368388465948824134587093618408784227917098565702574373136835508629198233841409777799432989345011463922045350751294411380604183603303106208585945307776260939731927446586531260227278423318440340142172833081696186337423221010313304555642804788330638910533083060686374703634157578745073972454099717573555744997051628852316356360260025169612528412279689355748439120958066705037469805629568262564634324291499170670425796886392179620278803707691588694402816302208612129104333024793219131570674804545526133736239145177482707399004650279316837996575154674547997170377608094169495046326540755458638846325139827037626064209983654816717005703743806648790321089170118750929522048674840206123274464343547281686230283877799152530800087704914584935483478907052544278353548417328618184658692207290345436966584523143269560590461074652096990547555699112905920700527441836902956223711165897622789748445301553152093067799800150971712233367642271708301258928600254274347443358662550956453927145731407126639421176323086611342549297652105670643163151794346367448138955080882259809185142421004920346530607512987328580530399710925010671257534892112796465033435586382168889775308549915344488285782486936474129036444042073938720051563948340433450937310412195951154010300715236619317187965209769903310430872133403004971060731072797117443566660161752132985275583490926511549331533007727273158073777936194484066271961662664434897954185297827752885323557682176905883710661054832169893859075481446893203269092429965041135642809966482865484463348222851318133322178767243254921432863014594262155298488322155328442213275622679859912652682334899889201339162988716904100259390854443020123448261157232860252615990734441277428079659043832432980779176539635690364871801563455550368804763808795225072159907594560951026841196800208193025694650831666671550580867506476812249820129702917999442284204891508874215608388783264249490260367068956201576061470075679491213876674438479833473204110690049644987527745045167360299060055482605976606804535082718166764663792876824603356698592778913787233378030114300397238222055289859300723041518544589727541539671365808582751022535996927150520717052140322523021476211931214236621815153278126080492702380047033785121172196031483617164688055859298916638697236224312901060357160067130412285049701572610491015314546714667376171709172013733672683493733013672904848725147091745571242813503785066576088595236284113438782181356636027160742628660637396723016542133067475624836542255466027697044292973899654935721612799969689651030269264995328245883311320153616682285034378426450620215078814890494089384668279928590500399213106549046846427009968360510074091212418715491506178498019462731367517121811786013777961371767333139608983008571227448534994726939970969601683371872636418561879004929170608249388561621982058147386039370728431050775049792072861109528905929780088488292841259436096516144617417515733750490453527586283759120076287525403275685218996327048036435447344574567013201849141467537950502979985901826317079708024794315482123125691342830997312841597945306428781183368653069716277385829967787094640397092661596682937733461358022640765340993925540604218450087743344540496700142097123736285887924473576604470894647314556677599899586303697594659458579044321926131624001959332539422176156612611229056730017947638606897337332362729982408305844528882550633248812545359110907}
30946 5084137524280307616093094740456319795707081918167363271461266178565104928329898815213362: {154705,185646,433118,618740,742488,804206,835299,1360964,1637329,3247755,3299773,3464272,3832964,3866375,3897306,4220833,4507166,4639650,4948960,5323729,5567580,5938752,6353246,6681096,7156129,7171352,7338973,7516233,7534964,7827518,7887073,8067771,8252113,8767364,9013748,10034606,10245188,10799329,10983668,11136206,11615768,11886673,12459764,12705668,13067739,13693153,13934708,14575832,14593693,14798846,16397811,16926673,17126468,17354126,17533592,18177853,18811118,19175006,19725291,19781329,20492113,21965912,22026308,22440829,22443518,22905051,24380833,24711651,24883355,24908413,24917912,25786273,26662333,27896379,28032651,28133108,29352068,29860026,30495613,31025355,32287832,32301995,32896046,33089233,33093712,33209975,33247364,33760088,34156655,34462964,35043518,35323933,35495329,35547650,35920628,36323811,36351229,36522193,36567915,37230426,37887313,37980099,38057629,38104964,38255006,38762394,39005776,39851970,40462499,40603729,40744766,40987986,41112728,41617633,41809646,42508768,42657180,42707828,43432683,43881498,43973329,44289326,44331455,44578599,44811229,44873655,45500992,45703118,45814333,46251819,46481629,46816388,47147773,47314129,47480413,47540468,47822364,47865232,48623003,48875726,50405415,51188616,51335246,51705575,52841588,53091229,53197746,53765776,53776779,53848386,54587931,54765428,55540129,55774808,57237848,57284255,57556282,57587193,57803570,57811153,59714318,60228733,60486498,61351393,61623512,61991329,62046690,62143323,62746659,62819043,62867255,63330650,63527006,64019975,64380829,64392579,64544408,65254286,65806753,66003992,66183136,66911773,68484253,68741106,69272763,69326451,69364284,69737053,71034171,72228829,72489255,72612459,72939764,73135426,73437351,74254491,74339331,74456028,74784575,75079748,75163873,75317629,75440706,75689331,75996780,76823970,77244446,77321872,79745233,80433771,81063232,81403055,81484148,81834650,81945568,82011613,82167603,82223260,82285082,82467575,82667588,82913629,83505255,83813053,84795764,84926168,85110215,85448571,86709566,86792413,86921348,86987106,87236833,87976093,88860829,89008033,89029923,89072272,89280068,89622155,89741490,90183073,90731486,91196136,91207453,91870964,91936993,92188764,92273419,93261291,93282548,93626648,93734318,93825373,94341455,95051931,95269693,95541939,95724256,96993373,97057118,97250955,97510388,97683666,97818575,97969112,98201580,98667912,98848993,98961090,99043886,99151748,99854708,...,42724911315674005280548821134010550211297663211812414548057706117321334512184861966850579843651029269663487851410781960906632007401607043876203691884204204322467446146309937483830721103203348174443690755809732769408017121423247223069429074038950331924415706000173949720990890053919707341932211193234125606001184976709509001289127235855174025014142380229557516793352754803414511463776385265081822031353986619760172806872686153258244309944589024872577690078021386251338040877772406348411404338218387434146783494265829893355029094731419639494806734027194395104471110682814598718363657351321420759577063191964704863989618186117344302755404529965925980622528841950459502554531609127574639291548625590586480869054569023561486539992625183250281395469030262176493484192509757934801008358435833509671982123287752516129898829093244534440140475380479297198680040869212177522241385524838325122858282434012326349522398475697198577994700125976227408249717569148799563226824999688800743420700990163763871867920006802205785371485567244807392220635307766968055906705205191339799940226219122736780938958562680474344302237815187853039827977527180123269333733960389020767041045321086024312580044300979692005475791550076622724228962634908986133398890397987613999927956558969298035964685762901378801072883005495166866381010291422766227763867625102648050717228955505361257771192752748483527690254789885313806522276047886966943683641181494333049509794274328300234081076713838576735326958937418009682158521850531541833961565255073131263743722852688221411663529930479374392262980298296349824517954598432179449458157878378970556131420936765830849114011505597645121879703732577319126681951896060467668392548507472244804404141611447927077035014586309236595448708346969704564424587120189563777442261581783230961347084406074190406384440851880710777414248499604845543438326765296605466290098074326662735505136421808480346700226150037883039585807664585494610755606716626407506091016752845765721998894227234395848522906160371738276922118259203755069611482838805777366390958842094233072727368178314985526903310276532006200372422450662100206232730662893836810792225993395102054340611518461766853102716834752279978206422289340938325075531720428118893491667906029398233120274831032619124729708914973711837065536707733450273219446580644638542736725704471397889771490912878256276387127249288779364191026080787281432869462654063407598817207894267369922449203941631614887863497052997927068737536124090399733534628949644490189695611068345238133672365796591144883401275271902860975209502185894901764115481790065730202807560857550869059128489930851940107843013078913523228006560462040810017316438107373866281233347561676713189483728620044580781842891853033744733220459317714376649248632172048592056098584960068751931120577934583080549594601538680400953648825756250620279693204413907829511204006628080974763729489924755546882336177313700777987902015399108710676969697544098370581592645421695948883552579863938913730437003847098076909569207844947548073109559858478767308595857604358789906620054847523746621977153979284464297135090844429571689657673228577150686125682873731317762873771256284367496906479883536909779866518935118883984955872133679187805924026831264348209643813670154654312588369904106212058443243974372235386180920486495735417940733825073018411726966762879876792747934702454929066944257367592867775555562067441156675302416333093506270557332589712273188678498954144518377685665987013822758608268768081960100905988285168899251306444630938814253399526650036993393556480398746740643474635475739380110290889019551723835766137808931457038551716311170706819067196317629407053145734297388691392786303388719561821078110334696714662569534027622736187096697361968282574952315495753537704168107323603173396045046828229594708644822886250741145731888851596314965750534747142880089507216380066268763480654687086062286223168228945562684978230244658310684897206464966862788994094990418005046755434784793648378817918376241808848036214323504880849862297355389510756634166448723007288036929392390631866206580962150399959586201373692353327104327844415093538155576380045837901934160286771753187325452512891039904787333865617475398729128569346624480680098788283224953988674904664025950308490022829082381351703948495689777519478644011428303264713326302586627959468911162496848558082505339905560810999184748829309410863181385827637908067700066389430481479371874573040117984390455012581462021526156556687645000653938036781711678826768383367204367580291995102730715247263126099422684269132188623383934003973314535768422772944033059087309497500921790441329750455463927075238374911158204092955036514439957049459520529456882128910583644615144030187687121325234054138957933450324459387328933522796164981714517232631435472627859529752742236799866115071596792879278105392429234842165335945776719229568208816814972075640023930184809196449776483639976544407792705176734177665083393812147876}
30947 5099683972445958411437455407090632434128092507252256854643293055144947166299594713410503: {247528,278469,649677,773425,928110,989984,1113732,1206309,1701205,2041446,3031238,4330340,4791205,5196408,5749446,5845959,6186200,6274933,6760749,6959475,7423440,7918336,8351370,8908128,8964190,9242389,9418705,9529869,9984253,10021644,10163797,10757028,10959205,11267185,11302446,11741277,12753853,12806485,13151046,13520622,13729585,14519710,14612389,15051909,15341893,15367782,15574705,15640966,15882085,16465969,16475502,16704309,17418385,17423652,17866558,18219790,18689646,19058502,19220173,19431697,20902062,21277009,21408085,21803173,21863748,21916990,22026709,22198269,22750453,25689702,26031189,26300388,27457390,27532885,27576733,27865486,28168789,28216677,28251853,28762509,28956998,29540077,30540068,30541309,30963613,31147390,32011153,32905213,32948868,33039462,33135313,33288229,33665277,34130054,34604149,35166385,35973637,36007246,36285733,36690085,37195172,37246813,37376868,37631749,39813368,40359790,41211262,41367140,41432893,41559205,41882078,42077173,42199662,42200110,43040173,43078705,44028102,44790039,44900785,44976133,46662433,46828273,47045054,47631205,48431748,48757220,48802957,48961406,49344069,49347838,49640568,49871046,50083117,50382949,50640132,51390910,51683192,51694446,51798829,52148749,52457509,52565277,52799749,52933393,53135960,53321475,53384785,53880942,53920573,54650648,55175989,55845639,56333926,56476357,56876240,57157446,57382509,57753493,57910244,58143591,58241566,58508664,58520485,58541989,58570382,58875469,59199457,59425585,59438132,59465293,59777955,59831540,59943493,60560533,61117149,61481979,61669092,61923214,62714469,63372062,63763152,63985770,64061742,65822247,66051985,66433989,66503677,67043569,67207220,67347733,67656638,68154277,68251488,68456785,68554677,69718510,70224582,70309429,70652149,70930328,71310702,71547310,71702372,71733546,71797848,72783908,73313589,74310397,75258622,75338989,75840637,76782924,77002869,77029390,77350933,77938238,77968273,78567014,78691789,79262382,79569649,79796619,80648664,80680510,80702413,80772579,81014053,81923317,82133137,82148142,82302086,82504990,82560062,82728920,82857764,83662212,83758724,84148894,84524798,84714733,85522093,85586222,85722973,85856772,86334423,86632369,86705355,87336157,88415413,88774246,89571477,90262993,90456337,90616357,90729747,90767558,91174705,91654808,92045653,92363684,92435268,92485712,93070035,93318814,93849685,94571197,94712228,94995975,95290509,95833213,96652340,96816612,97387249,97881429,97916468,98762389,99005988,99119108,99274704,...,64087366973511007920823231701015825316946494817718621822086559175982001768277292950275869765476543904495231777116172941359948011102410565814305537826306306483701169219464906225746081654805022261665536133714599154112025682134870834604143611058425497886623559000260924581486335080879561012898316789851188409001777465064263501933690853782761037521213570344336275190029132205121767195664577897622733047030979929640259210309029229887366464916883537308866535117032079377007061316658609522617106507327581151220175241398744840032543642097129459242210101040791592656706666024221898077545486026982131139365594787947057295984427279176016454133106794948888970933793262925689253831797413691361958937322938385879721303581853535342229809988937774875422093203545393264740226288764636902201512537653750264507973184931628774194848243639866801660210713070718945798020061303818266283362078287257487684287423651018489524283597713545797866992050188964341112374576353723199344840237499533201115131051485245645807801880010203308678057228350867211088330952961650452083860057807787009699910339328684105171408437844020711516453356722781779559741966290770184904000600940583531150561567981629036468870066451469538008213687325114934086343443952363479200098335596981420999891934838453947053947028644352068201609324508242750299571515437134149341645801437653972076075843433258041886656789129122725291535382184827970709783414071830450415525461772241499574264691411492450351121615070757865102990438406127014523237782775797312750942347882609696895615584279032332117495294895719061588394470447444524736776931897648269174187236817568455834197131405148746273671017258396467682819555598865978690022927844090701502588822761208367206606212417171890615552521879463854893173062520454556846636880680284345666163392372674846442020626609111285609576661277821066166121372749407268315157490147944908199435147111489994103257704632712720520050339225056824559378711496878241916133410074939611259136525129268648582998341340851593772784359240557607415383177388805632604417224258208666049586438263141349609091052267472478290354965414798009300558633675993150309349095994340755216188338990092653081510917277692650279654075252128419967309633434011407487613297580642178340237501859044097349680412246548928687094563372460567755598305061600175409829169870966957814105088556707096834657236369317384414580690873933169046286539121180922149304193981095111398225811841401054883673805912447422331795245579496890603106304186135599600301943424466735284543416602517857200508548694886717325101912907854291462814253278842352646173222685098595304211341286326303588692734896277910161764519618370284842009840693061215025974657161060799421850021342515069784225592930066871172764337779550617099830688976571564973872948258072888084147877440103127896680866901874620824391902308020601430473238634375930419539806620861744266806009942121462145594234887133320323504265970551166981853023098663066015454546316147555872388968132543923325328869795908370595655505770647115364353811767421322109664339787718150962893786406538184859930082271285619932965730968926696445702636266644357534486509842865726029188524310596976644310656884426551245359719825305364669799778402678325977433808200518781708886040246896522314465720505231981468882554856159318087664865961558353079271380729743603126911100737609527617590450144319815189121902053682393600416386051389301663333343101161735012953624499640259405835998884568409783017748431216777566528498980520734137912403152122940151358982427753348876959666946408221380099289975055490090334720598120110965211953213609070165436333529327585753649206713397185557827574466756060228600794476444110579718601446083037089179455083079342731617165502045071993854301041434104280645046042952423862428473243630306556252160985404760094067570242344392062967234329376111718597833277394472448625802120714320134260824570099403145220982030629093429334752343418344027467345366987466027345809697450294183491142485627007570133152177190472568226877564362713272054321485257321274793446033084266134951249673084510932055394088585947799309871443225599939379302060538529990656491766622640307233364570068756852901240430157629780988178769336559857181000798426213098093692854019936721020148182424837430983012356996038925462735034243623572027555922743534666279217966017142454897069989453879941939203366743745272837123758009858341216498777123243964116294772078741456862101550099584145722219057811859560176976585682518872193032289234835031467500980907055172567518240152575050806551370437992654096072870894689149134026403698282935075901005959971803652634159416049588630964246251382685661994625683195890612857562366737306139432554771659935574189280794185323193365875466922716045281530681987851081208436900175486689080993400284194247472571775848947153208941789294629113355199799172607395189318917158088643852263248003918665078844352313225222458113460035895277213794674664725459964816611689057765101266497625090718221814}
30948 5115277685971252795978345467194738062841902149442403888073225448381079870670700029452684: {216587,309410,340307,371292,525827,866236,1143707,1237480,1392165,1484976,1608412,1670598,2069027,2438651,2721928,2746451,2992547,3062169,3274658,3299987,3361451,4037027,4282451,4546857,5140427,5412925,5874587,6495510,6599546,6928544,7400387,7665928,7704947,7732750,7794612,8313467,8441666,8495867,8624169,9014332,9279300,9528107,9710027,9897920,10647458,11135160,11877504,11887451,12490451,12527055,12706492,12791651,13152827,13362192,13393451,13446285,13934387,14312258,14342704,14594651,14677946,15032466,15069928,15194051,15655036,15774146,15852467,16135542,16504226,16927787,16953669,17534728,18027496,18238547,18416987,19426787,19726569,20069212,20280933,20490376,20493467,21598658,21779565,21967336,22272412,22677947,22972307,23051673,23231536,23461449,23736707,23773346,24382451,24441107,24713253,24919528,24968651,25261451,25411336,25787987,25846451,26135478,26372267,26799837,27329685,27386306,27596651,27869416,28034469,28120307,28587753,29151664,29187386,29597692,30555467,30844427,31353093,31940651,32746547,32795622,32875485,33665651,33853346,34252936,34708252,34836697,35067184,35326307,36355706,36581627,37622236,37889867,37946651,38175085,38350012,38534553,38740787,39080651,39450582,39562658,40267907,40437227,40832027,40984226,41186085,41798229,42687947,43435497,43931824,44052616,44479307,44881658,44887036,45222793,45539051,45810102,45817451,46493965,46721085,46984547,47206451,47539067,47819317,47982107,48761666,49423302,49559193,49638947,49766710,49816826,49835824,50849387,51014147,51195081,51572546,51708925,52493747,52767107,53324666,53749547,54010869,54403067,54892451,55792758,56031827,56065302,56266216,57463549,57545507,57869051,58622867,58704136,58945451,59720052,59750651,60072227,60286451,60539685,60874907,60946525,60991226,61409027,61675787,61816893,62050710,62064037,62823117,63299493,63300165,64226507,64575664,64596947,64603990,65547707,65792092,66042153,66178466,66187424,66419950,66494728,66968987,67231547,67388987,67520176,67913267,68227451,68313310,68489051,68802707,68925928,70087036,70567581,70647866,70990658,71095300,71841256,72130451,72387805,72647622,72702458,73044386,73135830,73442109,74021757,74297665,74460852,74789425,74806569,75220451,75527867,75774626,75960198,76115258,76209928,76510012,76754651,77009651,77086365,77524788,77541669,77976827,78011552,78738347,79703940,79750907,80104547,80197957,80356907,80810651,80821413,80924998,81207458,81263747,81489532,81766427,81975972,82225456,83235266,83619292,83868947,84009025,84500889,85017536,85314360,85415656,85736169,86848067,86865366,87362349,87762996,87855573,87946658,88014157,88031651,88326827,88578652,88662910,89014451,89157198,89622458,89627965,89747310,90042947,90189587,90238451,90979885,91001984,91262747,91406236,91628666,91992227,92503638,92884821,92963258,93632776,93832187,94295546,94628258,94960826,95058093,95080936,95132507,95276627,95324651,95644728,95730464,95852387,95978655,96044051,96092613,96331307,96474827,97000451,97048187,97246006,97751452,98001227,...,96131050460266511881234847551523737975419742226577932733129838763973002652415939425413804648214815856742847665674259412039922016653615848721458306739459459725551753829197359338619122482207533392498304200571898731168038523202306251906215416587638246829935338500391386872229502621319341519347475184776782613502666197596395252900536280674141556281820355516504412785043698307682650793496866846434099570546469894460388815463543844831049697375325305963299802675548119065510591974987914283925659760991371726830262862098117260048815463145694188863315151561187388985059999036332847116318229040473196709048392181920585943976640918764024681199660192423333456400689894388533880747696120537042938405984407578819581955372780303013344714983406662313133139805318089897110339433146955353302268806480625396761959777397443161292272365459800202490316069606078418697030091955727399425043117430886231526431135476527734286425396570318696800488075283446511668561864530584799017260356249299801672696577227868468711702820015304963017085842526300816632496429442475678125790086711680514549865508993026157757112656766031067274680035084172669339612949436155277356000901410875296725842351972443554703305099677204307012320530987672401129515165928545218800147503395472131499837902257680920580920542966528102302413986762364125449357273155701224012468702156480958114113765149887062829985183693684087937303073277241956064675121107745675623288192658362249361397037117238675526682422606136797654485657609190521784856674163695969126413521823914545343423376418548498176242942343578592382591705671166787105165397846472403761280855226352683751295697107723119410506525887594701524229333398298968035034391766136052253883234141812550809909318625757835923328782819195782339759593780681835269955321020426518499245088559012269663030939913666928414364991916731599249182059124110902472736235221917362299152720667234991154886556949069080780075508837585236839068067245317362874200115112409416888704787693902972874497512011277390659176538860836411123074766083208448906625836387312999074379657394712024413636578401208717435532448122197013950837950513989725464023643991511132824282508485138979622266375916538975419481112878192629950964450151017111231419946370963267510356252788566146024520618369823393030641845058690851633397457592400263114743754806450436721157632835060645251985854553976076621871036310899753569429808681771383223956290971642667097338717762101582325510708868671133497692868369245335904659456279203399400452915136700102926815124903776785800762823042330075987652869361781437194221379918263528969259834027647892956317011929489455383039102344416865242646779427555427263014761039591822538961985741591199132775032013772604676338389395100306759146506669325925649746033464857347460809422387109332126221816160154691845021300352811931236587853462030902145709857951563895629309709931292616400209014913182193218391352330699980485256398955826750472779534647994599023181819474221333808583452198815884987993304693862555893483258655970673046530717651131983164496509681577226444340679609807277289895123406928429899448596453390044668553954399966536301729764764298589043782786465895464966465985326639826868039579737958047004699667604017488966150712300778172563329060370344783471698580757847972203323832284238977131497298942337529618907071094615404690366651106414291426385675216479722783682853080523590400624579077083952495000014651742602519430436749460389108753998326852614674526622646825166349792748470781101206868604728184410227038473641630023315439500419612332070148934962583235135502080897180166447817929820413605248154500293991378630473810070095778336741361700134090342901191714666165869577902169124555633769182624619014097425748253067607990781451562151156420967569064428635793642709865445459834378241478107140141101355363516588094450851494064167577896749916091708672938703181071480201391236855149104717831473045943640144002128515127516041201018050481199041018714546175441275236713728440511355199728265785708852340316346544069908081482227885981912190169049626399202426874509626766398083091132878921698964807164838399909068953090807794985984737649933960460850046855103135279351860645236444671482268154004839785771501197639319647140539281029905081530222273637256146474518535494058388194102551365435358041333884115301999418826949025713682345604984180819912908805050115617909255685637014787511824748165684865946174442158118112185293152325149376218583328586717789340265464878523778308289548433852252547201251471360582758851277360228862576209827055656988981144109306342033723701039605547424402613851508939957705478951239124074382946446369377074028492991938524793835919286343550105959209148832157489903361283921191277984790048813200384074067922296022981776621812655350263230033621490100426291371208857663773420729813412683941943670032799698758911092783978375737132965778394872005877997618266528469837833687170190053842915820692011997088189947224917533586647651899746437636077332721}
30949 5130918807729350522759897534785465938356302481393690493160766335098933677209830238237120: {30949,464115,495056,556938,1082795,1299354,1546850,1856220,1979968,2010515,2227464,2381687,2412618,2505897,3402410,4082892,4911987,6062476,6707687,8660680,9582410,9743265,9899319,10392816,11158871,11267915,11498892,11599125,11691918,12372400,12549866,12662499,13186187,13521498,13918950,14846880,15342887,15774059,15836672,15883115,15971187,16702740,17269187,17816256,17928380,17929079,18484778,18837410,19059738,19221419,19568795,19968506,20043288,20327594,21468387,21514056,21717779,21804587,21918410,22016919,22234919,22534370,22548699,22604892,22751927,23482554,23661219,24203313,24385739,24756339,25086515,25507706,25612970,26302092,26816471,26886899,27041244,27459170,27840515,29039420,29224778,29971319,30103818,30683786,30735564,31149410,31281932,31764170,32013227,32397987,32907347,32931938,32951004,33290387,33408618,34606391,34836770,34847304,35420507,35660019,35733116,35777171,36439580,36963971,36997115,37379292,38117004,38296019,38440346,38546039,38863394,38887979,39203217,41079459,41435579,41628791,41804124,42554018,42816170,42883139,43385315,43606346,43727496,43781079,43833980,44053418,44396538,44979047,45500906,46307351,46831307,47027795,47553719,47937515,49112579,49193433,49232939,50780019,50865659,51366119,51379404,51802187,52062378,52152131,52600776,53158787,53981579,54533559,54589571,54914780,55065770,55153466,55730972,56108795,56337578,56433354,56441111,56503706,57525018,57913996,58182887,59080154,59160851,59175873,59343987,59947379,60310187,60514499,61080136,61082618,61237187,61476339,61927226,62294780,62366039,62861099,64022306,64077527,65207987,65810426,65897736,66078924,66164099,66270626,66576458,66683687,67322487,67330554,67352099,68260108,68715153,68779499,69185987,69208298,69630707,70313987,70332770,70656731,71317367,71571539,71947274,72014492,72571466,73142499,73380170,74134953,74327639,74390344,74493626,74650065,74725239,74738699,74753736,75263498,75524711,77258219,77358819,79014827,79626736,79986999,80719580,81019307,81377747,81928679,82240115,82422524,82734280,82865786,83118410,83195819,83296139,83689137,83764156,84097953,84154346,84399324,84400220,84720227,85057211,86080346,86157410,87141011,87608795,88056204,88421147,88847159,88869125,89036987,89580078,89801570,89952266,91414739,91486839,91795859,92050379,92472779,92999387,93076065,93324866,93424067,93656546,94090108,94675859,95262410,95375579,95637515,95839499,96488027,96863496,96905985,97514440,97605914,97610999,97922812,98688138,98695676,99267699,99281136,99629925,99742092,99855131,...,128174733947022015841646463402031650633892989635437243644173118351964003536554585900551739530953087808990463554232345882719896022204821131628611075652612612967402338438929812451492163309610044523331072267429198308224051364269741669208287222116850995773247118000521849162972670161759122025796633579702376818003554930128527003867381707565522075042427140688672550380058264410243534391329155795245466094061959859280518420618058459774732929833767074617733070234064158754014122633317219045234213014655162302440350482797489680065087284194258918484420202081583185313413332048443796155090972053964262278731189575894114591968854558352032908266213589897777941867586525851378507663594827382723917874645876771759442607163707070684459619977875549750844186407090786529480452577529273804403025075307500529015946369863257548389696487279733603320421426141437891596040122607636532566724156574514975368574847302036979048567195427091595733984100377928682224749152707446398689680474999066402230262102970491291615603760020406617356114456701734422176661905923300904167720115615574019399820678657368210342816875688041423032906713445563559119483932581540369808001201881167062301123135963258072937740132902939076016427374650229868172686887904726958400196671193962841999783869676907894107894057288704136403218649016485500599143030874268298683291602875307944152151686866516083773313578258245450583070764369655941419566828143660900831050923544482999148529382822984900702243230141515730205980876812254029046475565551594625501884695765219393791231168558064664234990589791438123176788940894889049473553863795296538348374473635136911668394262810297492547342034516792935365639111197731957380045855688181403005177645522416734413212424834343781231105043758927709786346125040909113693273761360568691332326784745349692884041253218222571219153322555642132332242745498814536630314980295889816398870294222979988206515409265425441040100678450113649118757422993756483832266820149879222518273050258537297165996682681703187545568718481115214830766354777611265208834448516417332099172876526282699218182104534944956580709930829596018601117267351986300618698191988681510432376677980185306163021834555385300559308150504256839934619266868022814975226595161284356680475003718088194699360824493097857374189126744921135511196610123200350819658339741933915628210177113414193669314472738634768829161381747866338092573078242361844298608387962190222796451623682802109767347611824894844663590491158993781206212608372271199200603886848933470569086833205035714401017097389773434650203825815708582925628506557684705292346445370197190608422682572652607177385469792555820323529039236740569684019681386122430051949314322121598843700042685030139568451185860133742345528675559101234199661377953143129947745896516145776168295754880206255793361733803749241648783804616041202860946477268751860839079613241723488533612019884242924291188469774266640647008531941102333963706046197326132030909092632295111744777936265087846650657739591816741191311011541294230728707623534842644219328679575436301925787572813076369719860164542571239865931461937853392891405272533288715068973019685731452058377048621193953288621313768853102490719439650610729339599556805356651954867616401037563417772080493793044628931441010463962937765109712318636175329731923116706158542761459487206253822201475219055235180900288639630378243804107364787200832772102778603326666686202323470025907248999280518811671997769136819566035496862433555133056997961041468275824806304245880302717964855506697753919333892816442760198579950110980180669441196240221930423906427218140330872667058655171507298413426794371115655148933512120457201588952888221159437202892166074178358910166158685463234331004090143987708602082868208561290092085904847724856946487260613112504321970809520188135140484688784125934468658752223437195666554788944897251604241428640268521649140198806290441964061258186858669504686836688054934690733974932054691619394900588366982284971254015140266304354380945136453755128725426544108642970514642549586892066168532269902499346169021864110788177171895598619742886451199878758604121077059981312983533245280614466729140137513705802480860315259561976357538673119714362001596852426196187385708039873442040296364849674861966024713992077850925470068487247144055111845487069332558435932034284909794139978907759883878406733487490545674247516019716682432997554246487928232589544157482913724203100199168291444438115623719120353953171365037744386064578469670062935001961814110345135036480305150101613102740875985308192145741789378298268052807396565870151802011919943607305268318832099177261928492502765371323989251366391781225715124733474612278865109543319871148378561588370646386731750933845432090563061363975702162416873800350973378161986800568388494945143551697894306417883578589258226710399598345214790378637834316177287704526496007837330157688704626450444916226920071790554427589349329450919929633223378115530202532995250181436443628}
30950 5146607481022801723998478953983472963249637809411962739576787461954538269703367206735894: {402181,433174,587689,618820,680614,742584,835407,1051654,1732472,1949031,2287414,2320275,2438809,2474960,2784330,2969952,2992741,3216824,3341196,3361669,3618927,4138054,4877302,5103615,5443856,5492902,5936101,5985094,6124338,6549316,6599974,6722902,6852121,7578095,8074054,8564902,9093714,9407401,9589381,10280854,10825850,11405221,11749174,12129541,12852709,12991020,13199092,13213861,13857088,13935301,14373615,14800774,15331856,15409894,15465500,15589224,15913321,16626934,16630441,16883332,16991734,17248338,17537877,18028664,18558600,18824799,19056214,19131289,19420054,19487401,19795840,20282247,20878425,20908969,21294916,21440869,21972121,22270320,22325929,22410475,23209189,23755008,23774902,24442729,24980902,25054110,25412984,25583302,25672741,25848169,26305654,26724384,26786902,26892570,27727167,27868774,28122181,28256115,28589607,28624516,28685408,28993561,29189302,29355892,29689369,29952759,30064932,30139856,30388102,30491391,30904261,31310072,31548292,31704934,31942789,32271084,32461081,32877615,33008452,33323461,33801555,33855574,33907338,35069456,35223831,36054992,36299275,36477094,36833974,37949209,38261559,38419455,38853574,39102415,39139909,39453138,40138424,40561866,40834789,40980752,40986934,41188755,42016921,43197316,43559130,43837167,43934672,44544824,44666395,45155727,45355894,45542149,45549475,45944614,46025679,46043161,46103346,46463072,46724115,46922898,47473414,47546692,47646255,48704281,48764902,48882214,49397907,49426506,49697449,49839056,49937302,50112927,50522902,50822672,50852869,51346969,51575974,51692902,51840421,52004761,52255155,52270956,52744534,53445119,53599674,54461221,54659370,54772612,54792475,55193302,55738832,56068938,56089861,56240614,57175506,57660519,58295091,58303328,58357861,58374772,58680709,59195384,60129961,60932581,61110934,61573381,61688854,61733401,62213029,62692009,62706186,63583927,63807109,63831027,63881302,64224255,64283929,65091551,65393989,65409519,65493094,65552281,65591244,65710501,65750970,66080127,66594807,67131241,67331302,67706692,67760809,67911467,67918021,68251359,68505872,68643475,69416504,69486181,69663715,69673394,70134368,70423621,70652614,71202841,71669509,72135529,72392495,72600901,72711412,73163254,75244472,75533209,75779734,75893302,76350170,76700024,77066089,77069106,77481574,77524549,77868475,77982361,78093567,78161302,78901164,79125316,80110249,80535814,80874454,81664054,81968452,82372170,82598655,82675141,82730199,83596458,84506367,84650031,84755559,85070149,85325135,85375894,85517161,86287527,86870994,87863648,88105232,88480681,88620231,88958614,89217061,89763316,89774072,90018115,90098341,90244969,90445586,91078102,91620204,91623927,91634902,91707289,92890839,92987930,93442170,93969094,94412902,95078134,95187481,95331589,95638634,95964214,96033459,97055269,97523332,98055961,98715639,98768581,98846604,99118386,99277894,99405939,99533420,99633652,99671648,99864687,...,192262100920533023762469695103047475950839484453155865466259677527946005304831878850827609296429631713485695331348518824079844033307231697442916613478918919451103507658394718677238244964415066784996608401143797462336077046404612503812430833175276493659870677000782773744459005242638683038694950369553565227005332395192790505801072561348283112563640711033008825570087396615365301586993733692868199141092939788920777630927087689662099394750650611926599605351096238131021183949975828567851319521982743453660525724196234520097630926291388377726630303122374777970119998072665694232636458080946393418096784363841171887953281837528049362399320384846666912801379788777067761495392241074085876811968815157639163910745560606026689429966813324626266279610636179794220678866293910706604537612961250793523919554794886322584544730919600404980632139212156837394060183911454798850086234861772463052862270953055468572850793140637393600976150566893023337123729061169598034520712498599603345393154455736937423405640030609926034171685052601633264992858884951356251580173423361029099731017986052315514225313532062134549360070168345338679225898872310554712001802821750593451684703944887109406610199354408614024641061975344802259030331857090437600295006790944262999675804515361841161841085933056204604827973524728250898714546311402448024937404312961916228227530299774125659970367387368175874606146554483912129350242215491351246576385316724498722794074234477351053364845212273595308971315218381043569713348327391938252827043647829090686846752837096996352485884687157184765183411342333574210330795692944807522561710452705367502591394215446238821013051775189403048458666796597936070068783532272104507766468283625101619818637251515671846657565638391564679519187561363670539910642040853036998490177118024539326061879827333856828729983833463198498364118248221804945472470443834724598305441334469982309773113898138161560151017675170473678136134490634725748400230224818833777409575387805945748995024022554781318353077721672822246149532166416897813251672774625998148759314789424048827273156802417434871064896244394027901675901027979450928047287983022265648565016970277959244532751833077950838962225756385259901928900302034222462839892741926535020712505577132292049041236739646786061283690117381703266794915184800526229487509612900873442315265670121290503971709107952153243742072621799507138859617363542766447912581943285334194677435524203164651021417737342266995385736738490671809318912558406798800905830273400205853630249807553571601525646084660151975305738723562874388442759836527057938519668055295785912634023858978910766078204688833730485293558855110854526029522079183645077923971483182398265550064027545209352676778790200613518293013338651851299492066929714694921618844774218664252443632320309383690042600705623862473175706924061804291419715903127791258619419862585232800418029826364386436782704661399960970512797911653500945559069295989198046363638948442667617166904397631769975986609387725111786966517311941346093061435302263966328993019363154452888681359219614554579790246813856859798897192906780089337107908799933072603459529528597178087565572931790929932931970653279653736079159475916094009399335208034977932301424601556345126658120740689566943397161515695944406647664568477954262994597884675059237814142189230809380733302212828582852771350432959445567365706161047180801249158154167904990000029303485205038860873498920778217507996653705229349053245293650332699585496941562202413737209456368820454076947283260046630879000839224664140297869925166470271004161794360332895635859640827210496309000587982757260947620140191556673482723400268180685802383429332331739155804338249111267538365249238028194851496506135215981562903124302312841935138128857271587285419730890919668756482956214280282202710727033176188901702988128335155793499832183417345877406362142960402782473710298209435662946091887280288004257030255032082402036100962398082037429092350882550473427456881022710399456531571417704680632693088139816162964455771963824380338099252798404853749019253532796166182265757843397929614329676799818137906181615589971969475299867920921700093710206270558703721290472889342964536308009679571543002395278639294281078562059810163060444547274512292949037070988116776388205102730870716082667768230603998837653898051427364691209968361639825817610100231235818511371274029575023649496331369731892348884316236224370586304650298752437166657173435578680530929757047556616579096867704505094402502942721165517702554720457725152419654111313977962288218612684067447402079211094848805227703017879915410957902478248148765892892738754148056985983877049587671838572687100211918418297664314979806722567842382555969580097626400768148135844592045963553243625310700526460067242980200852582742417715327546841459626825367883887340065599397517822185567956751474265931556789744011755995236533056939675667374340380107685831641384023994176379894449835067173295303799492875272154665442}
30951 5162343849584829968505726935232968166605372406422964052923645931859018880930918578916275: {61898,649761,773525,928230,990112,1020921,1113876,1515913,1577481,2165590,2598708,2814721,3093700,3431121,3712440,3959936,4021030,4176495,4454928,4763374,4825236,5011794,6207081,6804820,7315953,8165784,8186645,8239353,8977641,9186507,9823974,9860609,9899961,10084353,12086201,12111081,12124952,12847353,13415374,13640571,15421281,15775081,15971681,16238775,16498865,17321360,17623761,19164820,19331875,19486530,19798638,20041769,20785632,21104165,21532421,22201161,22236361,22317742,22535830,22997784,23114841,23198250,23383836,24108689,24744800,24940401,25099732,25324998,25487601,25872507,25981013,26372374,26618645,26888641,27042996,27396313,27823781,27837900,28584321,29130081,29693760,30203129,30685774,31548118,31673344,31692193,31766230,31942374,33382361,33405480,34262129,34538374,35121121,35632512,35662353,35779489,35780645,35856760,35858158,36694865,36717509,36969556,37471353,37581165,37674820,38119476,38374953,38442838,38890501,38976721,39137590,39435365,39458481,39937012,40086576,40180353,40338855,40655188,41260565,41803161,41889233,42801433,42936774,43028112,43435558,43530761,43609174,43684693,43783953,43836820,44033838,44395769,44469838,45068740,45097398,45209784,45503854,45582153,46310353,46420121,46965108,47322438,47445653,47557401,48406626,48771478,49115761,49512678,50173030,50783361,50861007,51015412,51225940,51795961,51890789,52604184,53632942,53773798,53996645,54082488,54715641,54918340,55250961,55681030,56530001,58078840,58280361,58354369,58449556,59179707,59433365,59942638,60207636,60332353,60739441,60842799,61367572,61471128,61480401,62298820,62563864,62824021,63127433,63522209,63528340,64026454,64081681,64795974,65338695,65814694,65838913,65863876,65902008,66580774,66817236,67112521,68033841,68465765,68598281,68916921,69155019,69212782,69635221,69673540,69694608,70384347,70841014,71210121,71320038,71466232,71554342,72371221,72879160,72968465,73147353,73323321,73927942,73994230,74139759,74229473,74628569,74758584,74905953,75529609,75784353,76234008,76592038,76690361,76849841,76880692,77092078,77363961,77539353,77726788,77775958,78406434,78552313,78702041,79116801,80399511,81989055,82158918,82789953,82871158,83257582,83301541,83608248,84103407,84284161,84360921,84633365,84732329,85108036,85632340,85763259,85766278,86770630,87212692,87454992,87562158,87667960,88106836,88310689,88748561,88793076,88852921,89772329,89958094,90755489,90889265,91001812,91666401,92533281,92614702,93662614,94055590,94059279,95107438,95821953,95875030,96173701,96433553,98225158,98239641,98386866,98398681,98465878,98626455,98906645,...,288393151380799535643704542654571213926259226679733798199389516291919007957247818276241413944644447570228542997022778236119766049960847546164374920218378379176655261487592078015857367446622600177494912601715696193504115569606918755718646249762914740489806015501174160616688507863958024558042425554330347840507998592789185758701608842022424668845461066549513238355131094923047952380490600539302298711639409683381166446390631534493149092125975917889899408026644357196531775924963742851776979282974115180490788586294351780146446389437082566589945454683562166955179997108998541348954687121419590127145176545761757831929922756292074043598980577270000369202069683165601642243088361611128815217953222736458745866118340909040034144950219986939399419415954269691331018299440866059906806419441876190285879332192329483876817096379400607470948208818235256091090275867182198275129352292658694579293406429583202859276189710956090401464225850339535005685593591754397051781068747899405018089731683605406135108460045914889051257527578902449897489288327427034377370260135041543649596526979078473271337970298093201824040105252518008018838848308465832068002704232625890177527055917330664109915299031612921036961592963017203388545497785635656400442510186416394499513706773042761742761628899584306907241960287092376348071819467103672037406106469442874342341295449661188489955551081052263811909219831725868194025363323237026869864577975086748084191111351716026580047267818410392963456972827571565354570022491087907379240565471743636030270129255645494528728827030735777147775117013500361315496193539417211283842565679058051253887091323169358231519577662784104572688000194896904105103175298408156761649702425437652429727955877273507769986348457587347019278781342045505809865963061279555497735265677036808989092819741000785243094975750194797747546177372332707418208705665752086897458162001704973464659670847207242340226526512755710517204201735952088622600345337228250666114363081708918623492536033832171977529616582509233369224298249625346719877509161938997223138972184136073240909735203626152306597344366591041852513851541969176392070931974533398472847525455416938866799127749616926258443338634577889852893350453051333694259839112889802531068758365698438073561855109470179091925535176072554900192372777200789344231264419351310163472898505181935755957563661928229865613108932699260708289426045314149671868872914928001292016153286304746976532126606013400493078605107736007713978368837610198201358745410100308780445374711330357402288469126990227962958608085344311582664139754790586907779502082943678868951035788468366149117307033250595727940338282666281789044283118775467616885957224773597398325096041317814029015168185300920277439520007977776949238100394572042382428267161327996378665448480464075535063901058435793709763560386092706437129573854691686887929129793877849200627044739546579655174056992099941455769196867480251418338603943983797069545458422664001425750356596447654963979914081587667680449775967912019139592152953395949493489529044731679333022038829421831869685370220785289698345789360170134005661863199899608905189294292895767131348359397686394899397955979919480604118739213874141014099002812052466898452136902334517689987181111034350415095742273543916609971496852716931394491896827012588856721213283846214071099953319242874279157025649439168351048559241570771201873737231251857485000043955227807558291310248381167326261994980557844023579867940475499049378245412343303620605814184553230681115420924890069946318501258836996210446804887749705406506242691540499343453789461240815744463500881974135891421430210287335010224085100402271028703575143998497608733706507373666901307547873857042292277244759202823972344354686453469262902707193285907380928129596336379503134724434321420423304066090549764283352554482192502733690249748275126018816109543214440604173710565447314153494419137830920432006385545382548123603054151443597123056143638526323825710141185321534065599184797357126557020949039632209724244446683657945736570507148879197607280623528880299194249273398636765096894421494515199727206859272423384957954212949801881382550140565309405838055581935709334014446804462014519357314503592917958941421617843089715244590666820911768439423555606482175164582307654096306074124001652345905998256480847077141047036814952542459738726415150346853727767056911044362535474244497054597838523326474354336555879456975448128655749985760153368020796394635571334924868645301556757641603754414081748276553832080686587728629481166970966943432327919026101171103118816642273207841554526819873116436853717372223148839339108131222085478975815574381507757859030650317877627446496472469710083851763573833954370146439601152222203766888068945329865437966050789690100864470301278874113626572991320262189440238051825831010098399096276733278351935127211398897335184616017633992854799585409513501061510570161528747462076035991264569841674752600759942955699239312908231998163}
30952 5178128057580619130912574311617057870655419253399580729121066638569138605067207064030098: {92847,340351,804362,866348,1175378,1237640,1267351,1361228,1392345,1485168,1670814,1822687,2103308,2192551,2562127,3115951,3248385,3464944,3484807,3867125,3898062,4574828,4589647,4640550,4877618,4949920,5508367,5568660,5939904,5985482,6031545,6433648,6682392,6723338,7145061,7237854,7340407,7517691,8071207,8276108,8506025,8618551,9754604,10207230,10609333,10887712,10982887,10985804,11872202,11970188,12248676,13098632,13199948,13445804,13515487,13704242,14056351,14735961,15156190,15315847,15854551,16148108,17109007,17129804,18187428,18814802,19178762,19963087,20123061,20561708,20673727,21651700,22810442,23498348,23956025,24259082,25264807,25705418,25966807,25982040,26398184,26427722,26492551,27714176,27870602,28240351,28747230,29229795,29601548,29697957,30663712,30819788,30848551,30931000,31178448,31374665,31826642,33253868,33260882,33476613,33766664,33803745,33983468,34496676,34644607,34797375,35075754,35502487,36057328,36529567,37117200,37649598,37987497,38065327,38112428,38235607,38262578,38840108,38974802,39085927,39558561,39591680,40564494,41756850,41817938,42589832,42805951,42881738,43944242,44150047,44540640,44651858,44820367,44820950,45656647,46028661,46211945,46418378,47093525,47322177,47323807,47490127,47510016,47549804,47649345,47913561,48885458,49921265,49961804,49976287,50108220,50306551,50818985,50825968,51166604,51345482,51696338,51807561,52611308,53102167,53448768,53573804,53785140,53787237,54743381,54796025,54900007,55454334,55737548,56039551,56244362,56335925,56512230,57175567,57179214,57249032,57370816,57664257,57984847,57987122,58378604,58706385,58711784,59378738,59905518,60080551,60129864,60279712,60776204,60982782,61808522,62532953,62620144,63096584,63409868,63769265,63885578,64032425,64405161,64542168,64922162,65153337,65413761,65755230,66016904,66050757,66136687,66646922,66704757,66768127,67603110,67646097,67711148,67814676,68027551,68255781,68341687,68647925,68812351,70064287,70138912,70447662,70983657,71064389,72109984,72244087,72399247,72598550,72609939,72954188,73061945,73157217,73667948,74269017,74563927,75144641,75259545,75333607,75898418,76523118,76709465,76838910,77326351,77707148,77873525,78204830,78279818,78546607,78850951,78906276,79410425,79913887,80276848,80449413,80660697,81123732,81669578,81961504,81973868,82329845,82377510,83081527,83521545,83831047,84033842,84130351,86394632,87091925,87118260,87674334,87869344,88880047,89027287,89089648,89332790,89913957,90055951,90311454,90711788,91084298,91098950,91227247,91889228,92051358,92086322,92206692,92926144,92975551,93448230,93845796,93990607,94946828,95093384,95292510,96039681,96100865,97158485,97193961,97408562,97529201,97529804,97764428,98722041,98795814,98853012,99012967,99394898,99678112,99871161,99874604,...,384524201841066047524939390206094951901678968906311730932519355055892010609663757701655218592859263426971390662697037648159688066614463394885833226957837838902207015316789437354476489928830133569993216802287594924672154092809225007624861666350552987319741354001565547488918010485277366077389900739107130454010664790385581011602145122696566225127281422066017651140174793230730603173987467385736398282185879577841555261854175379324198789501301223853199210702192476262042367899951657135702639043965486907321051448392469040195261852582776755453260606244749555940239996145331388465272916161892786836193568727682343775906563675056098724798640769693333825602759577554135522990784482148171753623937630315278327821491121212053378859933626649252532559221272359588441357732587821413209075225922501587047839109589772645169089461839200809961264278424313674788120367822909597700172469723544926105724541906110937145701586281274787201952301133786046674247458122339196069041424997199206690786308911473874846811280061219852068343370105203266529985717769902712503160346846722058199462035972104631028450627064124269098720140336690677358451797744621109424003605643501186903369407889774218813220398708817228049282123950689604518060663714180875200590013581888525999351609030723682323682171866112409209655947049456501797429092622804896049874808625923832456455060599548251319940734774736351749212293108967824258700484430982702493152770633448997445588148468954702106729690424547190617942630436762087139426696654783876505654087295658181373693505674193992704971769374314369530366822684667148420661591385889615045123420905410735005182788430892477642026103550378806096917333593195872140137567064544209015532936567250203239637274503031343693315131276783129359038375122727341079821284081706073996980354236049078652123759654667713657459967666926396996728236496443609890944940887669449196610882668939964619546227796276323120302035350340947356272268981269451496800460449637667554819150775611891497990048045109562636706155443345644492299064332833795626503345549251996297518629578848097654546313604834869742129792488788055803351802055958901856094575966044531297130033940555918489065503666155901677924451512770519803857800604068444925679785483853070041425011154264584098082473479293572122567380234763406533589830369601052458975019225801746884630531340242581007943418215904306487484145243599014277719234727085532895825163886570668389354871048406329302042835474684533990771473476981343618637825116813597601811660546800411707260499615107143203051292169320303950611477447125748776885519673054115877039336110591571825268047717957821532156409377667460970587117710221709052059044158367290155847942966364796531100128055090418705353557580401227036586026677303702598984133859429389843237689548437328504887264640618767380085201411247724946351413848123608582839431806255582517238839725170465600836059652728772873565409322799921941025595823307001891118138591978396092727277896885335234333808795263539951973218775450223573933034623882692186122870604527932657986038726308905777362718439229109159580493627713719597794385813560178674215817599866145206919059057194356175131145863581859865863941306559307472158318951832188018798670416069955864602849203112690253316241481379133886794323031391888813295329136955908525989195769350118475628284378461618761466604425657165705542700865918891134731412322094361602498316308335809980000058606970410077721746997841556435015993307410458698106490587300665399170993883124404827474418912737640908153894566520093261758001678449328280595739850332940542008323588720665791271719281654420992618001175965514521895240280383113346965446800536361371604766858664663478311608676498222535076730498476056389702993012270431963125806248604625683870276257714543174570839461781839337512965912428560564405421454066352377803405976256670311586999664366834691754812724285920805564947420596418871325892183774560576008514060510064164804072201924796164074858184701765100946854913762045420798913063142835409361265386176279632325928911543927648760676198505596809707498038507065592332364531515686795859228659353599636275812363231179943938950599735841843400187420412541117407442580945778685929072616019359143086004790557278588562157124119620326120889094549024585898074141976233552776410205461741432165335536461207997675307796102854729382419936723279651635220200462471637022742548059150047298992662739463784697768632472448741172609300597504874333314346871157361061859514095113233158193735409010188805005885442331035405109440915450304839308222627955924576437225368134894804158422189697610455406035759830821915804956496297531785785477508296113971967754099175343677145374200423836836595328629959613445135684765111939160195252801536296271689184091927106487250621401052920134485960401705165484835430655093682919253650735767774680131198795035644371135913502948531863113579488023511990473066113879351334748680760215371663282768047988352759788899670134346590607598985750544309330884}
30953 5193960249608604083953347632915210601995163595244729143812976260034847157600959378252902: {123796,1082935,1206543,1299522,1547050,1701535,1763067,1856460,1980224,2041842,2227752,2506221,2629135,3031826,3154962,3742651,4331180,5197416,5629442,5718535,5847093,6187400,6862242,6960825,7316427,7424880,7919872,8042060,8352990,8909856,8978223,9526748,9650472,10023588,10085007,10345135,10540651,10856781,11461303,11653447,12193255,12414162,13508107,13609640,13732255,14631906,14962735,15310845,16331568,16373290,16478706,16499935,16807255,17808303,17955282,18373014,18875623,19647948,19721218,19799922,20168706,20185135,20556363,20721151,21412255,22582783,22734285,23098411,23685727,24065647,24110251,24172402,24222162,24249904,24787807,25694706,25702135,26289943,26830748,27064625,27281142,27772807,28174267,28222203,28492087,28768143,29372935,29545831,30205087,30842562,31097167,31550162,31943362,32477550,32997730,34215663,34264351,34642720,34940587,35159791,35247522,35694607,36388623,37001935,37266103,38320447,38329640,38508607,38524735,38558127,38663750,38973060,39249751,39597276,39641583,40083538,40491607,41567335,41571264,41805903,41891947,42208330,42479335,43064842,43120845,43309207,43533583,44402322,44472722,44635484,45071660,45995568,46229682,46396500,46767672,47097787,47448727,47640535,47739963,48217378,48550135,48652027,49489600,49880802,49891323,50092903,50199464,50392747,50649996,50717767,50853511,50975202,51372811,51745014,51894151,51962026,52467727,52613631,52744748,53237290,53681191,53777282,54085992,54422047,54792626,54860143,55209511,55647562,55675800,56056267,56077951,56474397,57168642,57393867,57764791,58260162,58462203,59387520,59437255,60406258,60572347,60846741,61371548,62452255,62635275,62726907,63096236,63131527,63346688,63384386,63526327,63532460,63884748,63958255,64322607,65311567,65764135,65916363,66516631,66764722,66808183,66810960,66967255,66977787,67056607,67231425,67903051,68167531,68524258,69076748,69627567,69671935,70242242,71265024,71324706,71558978,71561290,71615767,71713520,71716316,72973255,73328187,73389730,73435018,73939112,74234287,74633407,74942706,75162330,75349640,75595303,75970255,76238952,76668667,76749906,76854823,76885676,77018223,77158351,77366047,77544507,77781002,77953442,78268987,78275180,78870730,78916962,79262335,79348747,79874024,80093383,80173152,80360706,80677710,80718187,81310376,82521130,83181501,83206711,83606322,83778466,84366543,84638935,84768345,85271983,85602866,85768821,85873548,86056224,86871116,86980683,87061522,87218348,87369386,87567906,87673640,88067676,88791538,88939676,89068107,89778151,89858277,89975563,90137480,90194796,90419568,90473983,90634063,91007708,91164306,91192735,91430251,91474173,92084935,92301127,92620706,92712783,92840242,93011503,93593551,93930216,94151467,94644876,94773151,94891306,95114802,95625151,95828367,95852071,96439807,96813252,97112011,97133935,97383243,97542956,98231522,98632845,98781727,99025356,99702487,99970383,...,576786302761599071287409085309142427852518453359467596398779032583838015914495636552482827889288895140457085994045556472239532099921695092328749840436756758353310522975184156031714734893245200354989825203431392387008231139213837511437292499525829480979612031002348321233377015727916049116084851108660695681015997185578371517403217684044849337690922133099026476710262189846095904760981201078604597423278819366762332892781263068986298184251951835779798816053288714393063551849927485703553958565948230360981577172588703560292892778874165133179890909367124333910359994217997082697909374242839180254290353091523515663859845512584148087197961154540000738404139366331203284486176723222257630435906445472917491732236681818080068289900439973878798838831908539382662036598881732119813612838883752380571758664384658967753634192758801214941896417636470512182180551734364396550258704585317389158586812859166405718552379421912180802928451700679070011371187183508794103562137495798810036179463367210812270216920091829778102515055157804899794978576654854068754740520270083087299193053958156946542675940596186403648080210505036016037677696616931664136005408465251780355054111834661328219830598063225842073923185926034406777090995571271312800885020372832788999027413546085523485523257799168613814483920574184752696143638934207344074812212938885748684682590899322376979911102162104527623818439663451736388050726646474053739729155950173496168382222703432053160094535636820785926913945655143130709140044982175814758481130943487272060540258511290989057457654061471554295550234027000722630992387078834422567685131358116102507774182646338716463039155325568209145376000389793808210206350596816313523299404850875304859455911754547015539972696915174694038557562684091011619731926122559110995470531354073617978185639482001570486189951500389595495092354744665414836417411331504173794916324003409946929319341694414484680453053025511421034408403471904177245200690674456501332228726163417837246985072067664343955059233165018466738448596499250693439755018323877994446277944368272146481819470407252304613194688733182083705027703083938352784141863949066796945695050910833877733598255499233852516886677269155779705786700906102667388519678225779605062137516731396876147123710218940358183851070352145109800384745554401578688462528838702620326945797010363871511915127323856459731226217865398521416578852090628299343737745829856002584032306572609493953064253212026800986157210215472015427956737675220396402717490820200617560890749422660714804576938253980455925917216170688623165328279509581173815559004165887357737902071576936732298234614066501191455880676565332563578088566237550935233771914449547194796650192082635628058030336370601840554879040015955553898476200789144084764856534322655992757330896960928151070127802116871587419527120772185412874259147709383373775858259587755698401254089479093159310348113984199882911538393734960502836677207887967594139090916845328002851500713192895309927959828163175335360899551935824038279184305906791898986979058089463358666044077658843663739370740441570579396691578720340268011323726399799217810378588585791534262696718795372789798795911959838961208237478427748282028198005624104933796904273804669035379974362222068700830191484547087833219942993705433862788983793654025177713442426567692428142199906638485748558314051298878336702097118483141542403747474462503714970000087910455615116582620496762334652523989961115688047159735880950998098756490824686607241211628369106461362230841849780139892637002517673992420893609775499410813012485383080998686907578922481631488927001763948271782842860420574670020448170200804542057407150287996995217467413014747333802615095747714084584554489518405647944688709372906938525805414386571814761856259192672759006269448868642840846608132181099528566705108964385005467380499496550252037632219086428881208347421130894628306988838275661840864012771090765096247206108302887194246112287277052647651420282370643068131198369594714253114041898079264419448488893367315891473141014297758395214561247057760598388498546797273530193788842989030399454413718544846769915908425899603762765100281130618811676111163871418668028893608924029038714629007185835917882843235686179430489181333641823536878847111212964350329164615308192612148248003304691811996512961694154282094073629905084919477452830300693707455534113822088725070948488994109195677046652948708673111758913950896257311499971520306736041592789271142669849737290603113515283207508828163496553107664161373175457258962333941933886864655838052202342206237633284546415683109053639746232873707434744446297678678216262444170957951631148763015515718061300635755254892992944939420167703527147667908740292879202304444407533776137890659730875932101579380201728940602557748227253145982640524378880476103651662020196798192553466556703870254422797794670369232035267985709599170819027002123021140323057494924152071982529139683349505201519885911398478625816463996326}
30954 5209840570701765225102083872072550419928650541220907994536894918658907696759147385406394: {154745,185694,402233,525929,680702,711413,1329173,1608724,1732696,1884473,1949283,2254313,2320575,2350756,2475280,2534702,2562293,2722456,2784690,2970336,3062763,3116153,3177653,3341628,3485033,3645374,4206616,4221929,4385102,4547739,4651253,4732443,5124254,5325113,5413975,5569913,5875733,6059129,6231902,6496770,6929888,6969614,6975029,7401833,7706453,7734250,7796124,7889129,8444163,8497529,8679893,8983673,9149656,9179294,9281100,9529973,9711929,9755236,9899840,10052575,10293363,11016734,11137320,11879808,11908435,11970964,12063090,12131129,12251753,12529485,12867296,13364784,13446676,13937129,14057273,14117333,14290122,14475708,14680814,14837429,15035382,15915413,16142414,16552216,17012050,17110133,17237102,17825429,18420629,18599033,18621243,19133813,19430633,19509208,19608629,20023673,20414460,20675093,21207353,21218666,21775424,21947859,21965774,21971608,22446773,22682453,22859129,23329913,23744404,23940376,24497352,24559935,24718059,24739193,25793129,25968533,26197264,26399896,26552693,26891608,26932923,27030974,27252629,27408484,27559521,28112702,28242233,29113493,29471922,29581827,29699883,30253059,30312380,30631694,30908393,31709102,32296216,32465429,32580533,32925653,33327929,33538435,34218014,34259608,34303253,35504873,35733353,36075833,36258603,36333243,36374856,36589013,36759929,37629604,38067893,38294933,38357524,38542059,39145193,39926174,40246122,40445429,40614713,40840313,40921713,41123416,41347454,42022613,42135029,42864953,43303400,43369493,43649513,43924531,44488373,45046613,45381173,45620884,45659753,46049429,46160693,46263843,46996696,47160629,47325243,47548793,47715029,47912050,47915043,48518164,48545129,48716325,48821429,49496595,50365013,50529614,50639993,51024629,51189353,51410836,51933614,51964080,52121429,52504553,52796368,52855444,52871283,52985102,53105813,53324213,54577529,55428352,55741204,55794355,56043413,56097593,56339575,56480702,57494460,57719273,57995625,58459590,58635029,59203096,59333753,59395914,60125307,60138293,60245429,60887573,61327424,61581929,61639576,61688633,61697102,61862000,62221673,62356896,62749330,63312495,63338453,63653284,64398773,64597263,64610453,64696723,65033429,65719673,65825129,65930935,66193973,66507736,66521764,66603483,66709083,66772793,66953226,67140629,67245653,67403129,67533328,67607490,67966936,68032313,68084693,68973929,68993352,69289214,69344523,69495929,69594750,69600233,69889771,70151508,70537529,71004974,71146579,71679593,72114656,72249173,72326067,72456053,73059134,74234400,74821203,74928629,75185129,75299196,75543893,75697529,75974994,76130654,76224856,76462803,76471214,76525156,76714435,77617521,77637353,77680216,77943039,77949604,78171854,78602933,78870295,78907253,79117122,79183360,79415575,79855935,79919573,80273129,80665923,81128988,81281129,81432053,82035029,82188939,82686953,82787129,83137493,83471343,83513700,83635876,83886953,83985187,84136373,84783929,85179664,85380473,85611902,85752963,85763476,86345935,87261929,87390243,87888484,87902933,88300094,88345913,88493429,88591733,88807303,88886453,89081280,89229929,89276971,89303716,89327993,89640734,89641900,89645395,90111353,90209129,90609387,91282553,91313294,91428629,91817813,92057322,92303573,92423890,92836756,92982293,93030713,93997433,94187050,94644354,94647614,94980254,95020032,95076579,95099608,95297429,95298690,95827122,96107095,96495929,96735029,97212629,97451129,97770916,97843975,98308073,98877929,99842530,99923608,99952574,...,865179454142398606931113627963713641778777680039201394598168548875757023871743454828724241833933342710685628991068334708359298149882542638493124760655135137529965784462776234047572102339867800532484737805147088580512346708820756267155938749288744221469418046503522481850065523591874073674127276662991043521523995778367557276104826526067274006536383199648539715065393284769143857141471801617906896134918229050143499339171894603479447276377927753669698224079933071589595327774891228555330937848922345541472365758883055340439339168311247699769836364050686500865539991326995624046864061364258770381435529637285273495789768268876222130796941731810001107606209049496804926729265084833386445653859668209376237598355022727120102434850659960818198258247862809073993054898322598179720419258325628570857637996576988451630451289138201822412844626454705768273270827601546594825388056877976083737880219288749608577828569132868271204392677551018605017056780775263191155343206243698215054269195050816218405325380137744667153772582736707349692467864982281103132110780405124630948789580937235419814013910894279605472120315757554024056516544925397496204008112697877670532581167751991992329745897094838763110884778889051610165636493356906969201327530559249183498541120319128285228284886698752920721725880861277129044215458401311016112218319408328623027023886348983565469866653243156791435727659495177604582076089969711080609593733925260244252573334055148079740141803455231178890370918482714696063710067473263722137721696415230908090810387766936483586186481092207331443325351040501083946488580618251633851527697037174153761661273969508074694558732988352313718064000584690712315309525895224470284949107276312957289183867631820523309959045372762041057836344026136517429597889183838666493205797031110426967278459223002355729284927250584393242638532116998122254626116997256260692374486005114920393979012541621727020679579538267131551612605207856265867801036011684751998343089245126755870477608101496515932588849747527700107672894748876040159632527485816991669416916552408219722729205610878456919792033099773125557541554625907529176212795923600195418542576366250816600397383248850778775330015903733669558680051359154001082779517338669407593206275097095314220685565328410537275776605528217664700577118331602368032693793258053930490418695515545807267872690985784689596839326798097782124868278135942449015606618744784003876048459858914240929596379818040201479235815323208023141935106512830594604076236230300926341336124133991072206865407380970683888875824256032934747992419264371760723338506248831036606853107365405098447351921099751787183821014847998845367132849356326402850657871674320792194975288123953442087045504555902760832318560023933330847714301183716127147284801483983989135996345441392226605191703175307381129290681158278119311388721564075060663787389381633547601881134218639738965522170976299824367307590602440754255015811831951391208636375267992004277251069789342964891939742244763003041349327903736057418776458860187848480468587134195037999066116488265495609056110662355869095037368080510402016985589599698826715567882878687301394045078193059184698193867939758441812356217641622423042297008436157400695356410707003553069961543333103051245287226820631749829914490558150794183475690481037766570163639851538642213299859957728622837471076948317505053145677724712313605621211693755572455000131865683422674873930745143501978785984941673532070739603821426497148134736237029910861817442553659692043346262774670209838955503776510988631340414663249116219518728074621498030361368383722447233390502645922407674264290630862005030672255301206813086110725431995492826201119522121000703922643621571126876831734277608471917033064059360407788708121579857722142784388789009138509404173302964261269912198271649292850057663446577508201070749244825378056448328629643321812521131696341942460483257413492761296019156636147644370809162454330791369168430915578971477130423555964602196797554392071379671062847118896629172733340050973837209711521446637592821841870586640897582747820195910295290683264483545599181620577817270154873862638849405644147650421695928217514166745807128002043340413386043558071943510778753876824264853529269145733772000462735305318270666819446525493746922962288918222372004957037717994769442541231423141110444857627379216179245451040561183301170733133087606422733491163793515569979423063009667638370926344385967249957280460104062389183906714004774605935904670272924811263242245244829661496242059763185888443500912900830296983757078303513309356449926819623524663580459619349310561152116669446518017324393666256436927446723144523273577091950953632882339489417409130251555290721501863110439318803456666611300664206835989596313898152369070302593410903836622340879718973960786568320714155477493030295197288830199835055805381634196692005553848052901978564398756228540503184531710484586242386228107973793709525024257802279828867097717938724695994489}
30955 5225769166328926848886373115899383382150353190543011334481358748504611024258681592384484: {247592,278541,1021053,1516109,2010905,2165870,2382149,2413086,2599044,2938445,3094100,3403070,3526134,3680789,3712920,3802053,3960448,4083684,4177035,4423133,4455504,5012442,5258270,5468061,6063652,6309924,6577653,7485302,7686381,8005949,8662360,9347853,9745155,10394832,10454421,11258884,11437070,11601375,11694186,12194045,12374800,12457133,13724484,13768941,13921650,14483189,14632854,14849760,14963705,15839744,16084120,16525101,16705980,16808345,17070557,17819712,17956446,18094635,19053496,19225157,19300944,20047176,20170014,20690270,20947829,21081302,21435183,21713562,22021221,22553073,22922606,23099909,23306894,23530157,24213621,24386510,24488633,24789413,24828324,25239581,25518075,25855653,27016214,27219280,27464510,28259189,28493933,29263812,29294681,29680505,29688173,29925470,29977157,30621690,31827999,32663136,32746580,32948661,32957412,32999870,33296861,33614510,34260605,34942853,35162069,35616606,35696921,35910564,35982989,36746028,37751246,37890475,39295896,39296237,39442436,39599844,40337412,40370270,40494233,40546461,41112726,41122109,41164373,41293421,41442302,41443637,42169053,42276089,42824510,43051349,43312013,44207883,45165566,45287801,45468570,45947541,46196822,47037005,47371454,47563653,47946905,48131294,48220502,48344804,48444324,48499808,48655181,49575614,50721053,50856809,51327021,51389412,51404270,51802709,51812261,52579886,53661496,53684669,53934629,54129250,54425573,54562284,55190333,55545614,55661021,56059901,56348534,56444406,56836277,56984174,57026105,57076781,57126137,57536286,58194269,58745870,59091662,59471069,59889261,59959037,60369183,60410174,60647705,61249133,61685124,62021181,62194334,62675357,63100324,63886724,64263545,64955100,65315801,65995460,66069305,66696749,67365197,67907453,67970189,68431326,68528702,69285440,69676505,69815813,69881174,70319582,70327661,70495044,71389214,71585501,71868075,72777246,73033901,74003870,74342117,74532206,75794421,76479629,76640894,76659280,77017214,77049470,77116254,77163353,77327500,77900421,77946120,78274061,78499502,79194552,79283166,79353893,79477653,79566605,80167076,80922173,80983214,81393653,82154489,83134670,83142528,83152205,83212157,83611806,83783894,84416660,84721053,84958670,86129684,86241690,86618414,86721977,87067166,87433157,87689385,88804644,88945444,89093871,89270968,89541557,90142397,90143320,91432601,91991136,92069789,92307113,92459364,92545653,92793000,93535344,93754157,94123995,94157573,94195574,94639289,94897454,95281070,95303981,95394221,95447693,95479926,95656445,96434756,96803621,97100270,97118309,97304054,97412537,97437005,97540709,98979200,99708953,99761604,99782646,...,1153572605523198142574818170618284855705036906718935192797558065167676031828991273104965655778577790280914171988091112944479064199843390184657499680873513516706621045950368312063429469786490400709979650406862784774016462278427675022874584999051658961959224062004696642466754031455832098232169702217321391362031994371156743034806435368089698675381844266198052953420524379692191809521962402157209194846557638733524665785562526137972596368503903671559597632106577428786127103699854971407107917131896460721963154345177407120585785557748330266359781818734248667820719988435994165395818748485678360508580706183047031327719691025168296174395922309080001476808278732662406568972353446444515260871812890945834983464473363636160136579800879947757597677663817078765324073197763464239627225677767504761143517328769317935507268385517602429883792835272941024364361103468728793100517409170634778317173625718332811437104758843824361605856903401358140022742374367017588207124274991597620072358926734421624540433840183659556205030110315609799589957153309708137509481040540166174598386107916313893085351881192372807296160421010072032075355393233863328272010816930503560710108223669322656439661196126451684147846371852068813554181991142542625601770040745665577998054827092171046971046515598337227628967841148369505392287277868414688149624425877771497369365181798644753959822204324209055247636879326903472776101453292948107479458311900346992336764445406864106320189071273641571853827891310286261418280089964351629516962261886974544121080517022581978114915308122943108591100468054001445261984774157668845135370262716232205015548365292677432926078310651136418290752000779587616420412701193632627046598809701750609718911823509094031079945393830349388077115125368182023239463852245118221990941062708147235956371278964003140972379903000779190990184709489330829672834822663008347589832648006819893858638683388828969360906106051022842068816806943808354490401381348913002664457452326835674493970144135328687910118466330036933476897192998501386879510036647755988892555888736544292963638940814504609226389377466364167410055406167876705568283727898133593891390101821667755467196510998467705033773354538311559411573401812205334777039356451559210124275033462793752294247420437880716367702140704290219600769491108803157376925057677405240653891594020727743023830254647712919462452435730797042833157704181256598687475491659712005168064613145218987906128506424053601972314420430944030855913475350440792805434981640401235121781498845321429609153876507960911851834432341377246330656559019162347631118008331774715475804143153873464596469228133002382911761353130665127156177132475101870467543828899094389593300384165271256116060672741203681109758080031911107796952401578288169529713068645311985514661793921856302140255604233743174839054241544370825748518295418766747551716519175511396802508178958186318620696227968399765823076787469921005673354415775935188278181833690656005703001426385790619855919656326350670721799103871648076558368611813583797973958116178926717332088155317687327478741480883141158793383157440680536022647452799598435620757177171583068525393437590745579597591823919677922416474956855496564056396011248209867593808547609338070759948724444137401660382969094175666439885987410867725577967587308050355426884853135384856284399813276971497116628102597756673404194236966283084807494948925007429940000175820911230233165240993524669305047979922231376094319471761901996197512981649373214482423256738212922724461683699560279785274005035347984841787219550998821626024970766161997373815157844963262977854003527896543565685720841149340040896340401609084114814300575993990434934826029494667605230191495428169169108979036811295889377418745813877051610828773143629523712518385345518012538897737285681693216264362199057133410217928770010934760998993100504075264438172857762416694842261789256613977676551323681728025542181530192494412216605774388492224574554105295302840564741286136262396739189428506228083796158528838896977786734631782946282028595516790429122494115521196776997093594547060387577685978060798908827437089693539831816851799207525530200562261237623352222327742837336057787217848058077429258014371671835765686471372358860978362667283647073757694222425928700658329230616385224296496006609383623993025923388308564188147259810169838954905660601387414911068227644177450141896977988218391354093305897417346223517827901792514622999943040613472083185578542285339699474581206227030566415017656326993106215328322746350914517924667883867773729311676104404684412475266569092831366218107279492465747414869488892595357356432524888341915903262297526031031436122601271510509785985889878840335407054295335817480585758404608888815067552275781319461751864203158760403457881205115496454506291965281048757760952207303324040393596385106933113407740508845595589340738464070535971419198341638054004246042280646114989848304143965058279366699010403039771822796957251632927992652}
30956 5241746182396059376237292529337930339680609561172564791291357964313320258613403897463706: {216643,309490,371388,587803,804466,1051858,1361404,1422826,2658346,2993323,3177859,3217448,3248805,3465392,3619629,3768946,3867625,3898566,3915283,4283563,4508626,4641150,4701512,4950560,5069404,5104605,5124586,5289201,5444912,5569380,5937259,5940672,6120643,6125526,6232306,6355306,6683256,6970066,7036483,7290748,7518663,7579565,7887405,8413232,8443858,8770204,9095478,9302506,9409243,9464886,9591259,10248508,10650226,10827950,11139826,11227953,11588683,11751466,12118258,12131923,12463804,12993540,13396963,13859776,13939228,13950058,14073605,14118259,14803666,14838403,15412906,15468500,15592248,15778258,16671809,16888326,16995058,17155605,17359786,17541279,17967346,18299312,18358588,18562200,19059946,19423858,19491259,19510472,19799680,20105150,20586726,20882475,21949281,22033468,22153459,22274640,23213803,23743003,23759616,23816870,23941928,24126180,24262258,24503506,24799459,25058970,25677859,25734592,25853323,26729568,26893352,26934669,27874258,28114546,28234666,28580244,28951416,28999363,29361628,29674858,29869123,30070764,30216523,30255021,31035405,31083763,31621953,31830826,32284828,32570343,32640259,33104432,33502459,34024100,34220266,34362859,34383909,34474204,34960341,35650858,36579765,36841258,37198066,37242486,38267626,38861266,39018416,39217258,39317683,40047346,40524321,40828920,40933225,41196765,41350186,42194083,42414706,42437332,43550848,43708459,43895718,43931548,43943216,44888205,44893546,45364906,45718258,45932535,46052563,46659826,46953809,47219323,47488808,47880752,48880003,48994704,49119870,49303045,49436118,49478386,49499805,50421765,51028123,51586258,51851083,51937066,52015459,52179763,52394528,52799792,53105386,53424909,53783216,53865846,54061948,54505258,54635683,54816968,55119042,56101459,56225404,56484466,56626869,58226986,58692883,58943844,59163654,59399766,60303163,60431005,60506118,60555405,60624760,60945259,61263388,61669089,61746259,61816786,62163453,63342859,63418204,64236765,64592432,64930858,65090803,65161066,65566003,65724259,65851306,66655858,67076870,67748349,67932283,68089459,68202855,68436028,68519216,68606506,69295233,71009746,71057181,71466706,72151666,72196941,72330753,72517206,72666486,72749712,73178026,73519858,74363421,74933923,75241723,75259208,75702883,76135786,76589866,76715048,77084118,77106405,78112097,78290386,78869829,78875405,79672459,79852348,79858405,80278843,80492244,80890858,81035203,81193875,81229426,81680626,81843426,82246832,82494325,82694908,83318421,84045226,84270058,84522801,84666609,84790003,85476261,85729906,86025313,86304429,86576323,86606800,86738986,87299026,87849062,87909259,88118805,88637493,88976746,89236363,90093226,90264523,90615261,90762346,91241768,91319506,92098858,92303309,92321386,92527686,93037459,93291501,93993392,94321258,94650486,95097586,95352403,95430058,95824100,95830086,96072043,96659375,96789883,97036328,97090258,97219723,97432650,97505923,97642858,98266069,98993190,99255221,...,1730358908284797213862227255927427283557555360078402789196337097751514047743486909657448483667866685421371257982136669416718596299765085276986249521310270275059931568925552468095144204679735601064969475610294177161024693417641512534311877498577488442938836093007044963700131047183748147348254553325982087043047991556735114552209653052134548013072766399297079430130786569538287714282943603235813792269836458100286998678343789206958894552755855507339396448159866143179190655549782457110661875697844691082944731517766110680878678336622495399539672728101373001731079982653991248093728122728517540762871059274570546991579536537752444261593883463620002215212418098993609853458530169666772891307719336418752475196710045454240204869701319921636396516495725618147986109796645196359440838516651257141715275993153976903260902578276403644825689252909411536546541655203093189650776113755952167475760438577499217155657138265736542408785355102037210034113561550526382310686412487396430108538390101632436810650760275489334307545165473414699384935729964562206264221560810249261897579161874470839628027821788559210944240631515108048113033089850794992408016225395755341065162335503983984659491794189677526221769557778103220331272986713813938402655061118498366997082240638256570456569773397505841443451761722554258088430916802622032224436638816657246054047772697967130939733306486313582871455318990355209164152179939422161219187467850520488505146668110296159480283606910462357780741836965429392127420134946527444275443392830461816181620775533872967172372962184414662886650702081002167892977161236503267703055394074348307523322547939016149389117465976704627436128001169381424630619051790448940569898214552625914578367735263641046619918090745524082115672688052273034859195778367677332986411594062220853934556918446004711458569854501168786485277064233996244509252233994512521384748972010229840787958025083243454041359159076534263103225210415712531735602072023369503996686178490253511740955216202993031865177699495055400215345789497752080319265054971633983338833833104816439445458411221756913839584066199546251115083109251815058352425591847200390837085152732501633200794766497701557550660031807467339117360102718308002165559034677338815186412550194190628441371130656821074551553211056435329401154236663204736065387586516107860980837391031091614535745381971569379193678653596195564249736556271884898031213237489568007752096919717828481859192759636080402958471630646416046283870213025661189208152472460601852682672248267982144413730814761941367777751648512065869495984838528743521446677012497662073213706214730810196894703842199503574367642029695997690734265698712652805701315743348641584389950576247906884174091009111805521664637120047866661695428602367432254294569602967967978271992690882784453210383406350614762258581362316556238622777443128150121327574778763267095203762268437279477931044341952599648734615181204881508510031623663902782417272750535984008554502139578685929783879484489526006082698655807472114837552917720375696960937174268390075998132232976530991218112221324711738190074736161020804033971179199397653431135765757374602788090156386118369396387735879516883624712435283244846084594016872314801390712821414007106139923086666206102490574453641263499659828981116301588366951380962075533140327279703077284426599719915457245674942153896635010106291355449424627211242423387511144910000263731366845349747861490287003957571969883347064141479207642852994296269472474059821723634885107319384086692525549340419677911007553021977262680829326498232439037456149242996060722736767444894466781005291844815348528581261724010061344510602413626172221450863990985652402239044242001407845287243142253753663468555216943834066128118720815577416243159715444285568777578018277018808346605928522539824396543298585700115326893155016402141498489650756112896657259286643625042263392683884920966514826985522592038313272295288741618324908661582738336861831157942954260847111929204393595108784142759342125694237793258345466680101947674419423042893275185643683741173281795165495640391820590581366528967091198363241155634540309747725277698811288295300843391856435028333491614256004086680826772087116143887021557507753648529707058538291467544000925470610636541333638893050987493845924577836444744009914075435989538885082462846282220889715254758432358490902081122366602341466266175212845466982327587031139958846126019335276741852688771934499914560920208124778367813428009549211871809340545849622526484490489659322992484119526371776887001825801660593967514156607026618712899853639247049327160919238698621122304233338893036034648787332512873854893446289046547154183901907265764678978834818260503110581443003726220878637606913333222601328413671979192627796304738140605186821807673244681759437947921573136641428310954986060590394577660399670111610763268393384011107696105803957128797512457081006369063420969172484772456215947587419050048515604559657734195435877449391988978}
30957 5257771765247585452267351901574879778900056148480218667641072267621296652350493523988803: {464235,495184,557082,1206699,1577787,1701755,2042106,2134239,2815267,3032218,3987519,4021810,4113823,4331740,4764298,4826172,5198088,5227339,5653419,5847849,5876890,6188200,6336755,6762939,6806140,6961725,7052268,7361578,7425840,7604106,7686879,7920896,8167368,8354070,8846266,8911008,9113435,9188289,9348459,9532959,10024884,10455099,10516540,10936122,10962755,12127304,12619848,12665787,12810635,13155306,13643217,13953759,14197329,14970604,15239123,15372762,15579755,15975339,16011898,16241925,16351919,16709739,17071663,17324720,17424035,17627199,18010619,18177387,18695706,19335625,19490310,20789664,20908842,20925087,20949187,22205499,22517768,22874140,22948235,23119359,23202750,23388372,23531683,23667387,24388090,24683507,24749600,24914266,25332489,25492587,26039679,26951019,27448968,27537882,27541835,27843300,28589919,28966378,29132099,29135787,29265708,29296579,29699520,29927410,30157725,30880089,30973643,31679488,32168240,33050202,33411960,33616690,34141114,35639424,35725305,35912892,36189270,36297503,36393387,36702035,36755259,37258883,37588455,37643939,38106992,38450314,38601888,39298783,40094352,40340028,40356035,41296099,41380540,41552707,41811387,41895658,42090803,42162604,42171819,42351999,42530125,42870366,43092755,43427124,44042442,44512287,45106146,45845212,46199818,46319359,46429163,46613788,46677563,47060314,47746239,47964847,48427242,48773020,48977266,49578826,49656648,50479162,50878867,51036150,51330399,51711306,52816859,52950563,53046665,53476287,54032428,54438560,54914435,54929020,55261887,55797099,55863729,56518378,56839963,56987866,57080479,57401439,58291899,58527624,58561019,58589362,58825887,58894559,59361010,59376346,59484563,59850940,59954314,60071019,61243380,62025279,63622059,63655998,63846859,64094143,65224939,65326272,65493160,65843577,65851807,65897322,65914824,65999740,66593722,67125667,67229020,67340319,67577435,68047359,68521210,68577387,68611643,69648763,69820339,69885706,69989739,70281755,70324138,71233212,71393842,71740187,71821128,71965978,72385339,73492056,73679805,74154177,74217579,75502492,75780950,76484587,76579235,77379387,77905599,78591792,78592474,78717419,78884872,79199688,79272755,79595459,79658079,79836547,80674824,80728703,80740540,80798769,80927419,80988466,81092922,81757887,82225452,82244218,82328746,82586842,82678563,82884604,82887274,84338106,84552178,84726699,84906787,85545035,85549823,85649020,86102698,86624026,86660459,86757803,87340479,87364547,88415766,88745481,89099649,89968963,90148243,90331132,90575602,90759177,90773243,90937140,91819723,91895082,92393644,92497027,92702803,92725179,92809439,94074010,94742908,95127306,95893810,96192499,96262588,96441004,96689608,96809899,96888648,96999616,97310362,97396287,97547107,97741599,98776959,99151228,99815435,99983787,...,2595538362427195820793340883891140925336333040117604183794505646627271071615230364486172725501800028132056886973205004125077894449647627915479374281965405412589897353388328702142716307019603401597454213415441265741537040126462268801467816247866232664408254139510567445550196570775622221022381829988973130564571987335102671828314479578201822019609149598945619145196179854307431571424415404853720688404754687150430498017515683810438341829133783261009094672239799214768785983324673685665992813546767036624417097276649166021318017504933743099309509092152059502596619973980986872140592184092776311144306588911855820487369304806628666392390825195430003322818627148490414780187795254500159336961579004628128712795065068181360307304551979882454594774743588427221979164694967794539161257774976885712572913989730965354891353867414605467238533879364117304819812482804639784476164170633928251213640657866248825733485707398604813613178032653055815051170342325789573466029618731094645162807585152448655215976140413234001461317748210122049077403594946843309396332341215373892846368742811706259442041732682838816416360947272662072169549634776192488612024338093633011597743503255975976989237691284516289332654336667154830496909480070720907603982591677747550495623360957384855684854660096258762165177642583831387132646375203933048336654958224985869081071659046950696409599959729470374307182978485532813746228269909133241828781201775780732757720002165444239220425410365693536671112755448144088191130202419791166413165089245692724272431163300809450758559443276621994329976053121503251839465741854754901554583091111522461284983821908524224083676198965056941154192001754072136945928577685673410854847321828938871867551602895461569929877136118286123173509032078409552288793667551515999479617391093331280901835377669007067187854781751753179727915596350994366763878350991768782077123458015344761181937037624865181062038738614801394654837815623568797603403108035054255995029267735380267611432824304489547797766549242583100323018684246628120478897582457450975008250749657224659168187616832635370759376099299319376672624663877722587528638387770800586255627729098752449801192149746552336325990047711201008676040154077462003248338552016008222779618825291285942662056695985231611827329816584652994101731354994807104098081379774161791471256086546637421803618072957354068790517980394293346374604834407827347046819856234352011628145379576742722788789139454120604437707445969624069425805319538491783812228708690902779024008372401973216620596222142912051666627472768098804243977257793115282170015518746493109820559322096215295342055763299255361551463044543996536101398548068979208551973615022962376584925864371860326261136513667708282496955680071799992543142903551148381441854404451951967407989036324176679815575109525922143387872043474834357934166164692225181991362168144900642805643402655919216896566512928899473101922771807322262765047435495854173625909125803976012831753209368028894675819226734289009124047983711208172256329376580563545441405761402585113997198349464796486827168331987067607285112104241531206050956768799096480146703648636061904182135234579177554094581603819275325437068652924867269126891025308472202086069232121010659209884629999309153735861680461895249489743471674452382550427071443113299710490919554615926639899579873185868512413230844952515159437033174136940816863635081266717365000395597050268024621792235430505936357954825020596212218811464279491444404208711089732585452327660979076130038788324010629516866511329532965894021243989747348658556184223864494091084105151167341700171507937767223022792871892586015092016765903620439258332176295986478478603358566363002111767930864713380630495202832825415751099192178081223366124364739573166428353166367027415528212519908892783809736594814947878550172990339732524603212247734476134169344985888929965437563395089025827381449772240478283888057469908442933112427487362992374107505292746736914431391270667893806590392663176214139013188541356689887518200020152921511629134564339912778465525611759922692748243460587730885872049793450636797544861733451810464621587916548216932442951265087784652542500237421384006130021240158130674215830532336261630472794560587807437201316001388205915954812000458339576481240768886866754667116014871113153984308327623694269423331334572882137648537736353121683549903512199399262819268200473491380546709938269189029002915112779033157901749871841380312187167551720142014323817807714010818774433789726735734488984488726179289557665330502738702490890951271234910539928069349780458870573990741378858047931683456350008339554051973180998769310782340169433569820731275852860898647018468252227390754665872164505589331317956410369999833901992620507968788941694457107210907780232711509867022639156921882359704962142466432479090885591866490599505167416144902590076016661544158705935693196268685621509553595131453758727158684323921381128575072773406839486601293153816174087983467}
30958 5273846061667689923901823484507421096655576120606893776921449888237654039909106679907660: {433286,525997,618980,742776,835623,1175606,1452817,1608932,2103716,2722808,2747341,2845652,3063159,3301057,4548327,4590541,5316692,5414675,5986646,6032715,6355718,6434896,6497610,6930784,7146447,7239258,7537892,7707457,7735250,7797132,7830566,8255341,8507675,8567126,8620237,8815335,9017252,9282300,9403024,9901120,10138808,10209210,10249172,10578402,10611391,10889824,11042367,11138760,11406159,11874518,11881344,12241286,12251052,12253357,12464612,12531105,12710612,12795841,13145675,13269399,13366512,13698541,13940132,14059117,14072966,14239297,14581496,14959297,15037326,15159130,15498541,15774810,16404183,16826464,16887716,17291341,17540408,18190956,18605012,18713255,18720397,18818486,18929772,19182518,19703047,19732959,20497016,21300452,21655900,22279652,22455906,22979917,23059143,23177366,23502932,24017847,24038317,24236516,24263846,24742477,24927608,25269841,25987080,26672977,26793926,27372817,27719552,27878456,27896941,27900116,28043559,28147210,28236518,28420417,28592675,29235465,29607332,29676806,30825812,30854737,30937000,31184496,31363263,31556516,32584897,33343618,33776652,33990116,34311210,34719572,34804125,35082558,35934692,36194797,36582135,36598624,36717176,37124400,37371399,38119892,38243341,38847716,38982518,39020944,39599360,40210300,41173452,41306823,41764950,42140737,43449567,43898562,44066936,44306918,44549280,44891115,45833041,46166977,46427606,47486006,47499841,47519232,47633740,47883856,48252360,48524516,49007012,49575303,49598918,50117940,50425035,51211671,51355718,51469184,51706646,51725675,52703255,52785217,53459136,53786704,53869338,54283905,55748516,56051137,56229092,56469332,56538541,57160488,57306515,57349441,57675471,57835117,57902832,57998726,58267235,58723256,59349716,59738246,60141528,60253777,60433046,60510042,60575041,60966275,61697197,62070810,62167526,62843487,63243906,63453457,63661652,64305549,64569656,65140686,65280518,65834317,66063663,66150541,66208864,66939841,67004918,67255057,67540535,67659219,68048200,68440532,68513041,68661275,68725718,68767818,68826817,68948408,68983597,69024263,69299727,69609997,69920682,70079041,70590471,71301716,72414541,72640863,73159530,73465899,73682516,73962541,74368239,74396132,74484972,74813675,75718743,76535252,76554225,77036941,77566959,77722532,78036832,78258637,78434516,78635366,80094692,80385517,81048642,81657840,81866450,82046737,82347841,82393530,82499675,82700372,82798957,84036275,84148417,84388166,84603407,84777567,84829412,84874664,84895597,85481799,87101696,87416918,87791436,87863096,87884043,87886432,88014097,88604497,89041515,89046541,89064519,89340877,89776410,89787092,89931471,90222157,90729812,91436516,91865070,92105126,92414017,93319652,93866257,93907618,94378115,94438646,94878541,94977616,95483997,95761504,96749137,97760006,97989408,98239740,98606090,98845983,98872236,98956772,98999610,99887041,99890583,...,3460717816569594427724454511854854567115110720156805578392674195503028095486973819314896967335733370842742515964273338833437192599530170553972499042620540550119863137851104936190288409359471202129938951220588354322049386835283025068623754997154976885877672186014089927400262094367496294696509106651964174086095983113470229104419306104269096026145532798594158860261573139076575428565887206471627584539672916200573997356687578413917789105511711014678792896319732286358381311099564914221323751395689382165889463035532221361757356673244990799079345456202746003462159965307982496187456245457035081525742118549141093983159073075504888523187766927240004430424836197987219706917060339333545782615438672837504950393420090908480409739402639843272793032991451236295972219593290392718881677033302514283430551986307953806521805156552807289651378505818823073093083310406186379301552227511904334951520877154998434311314276531473084817570710204074420068227123101052764621372824974792860217076780203264873621301520550978668615090330946829398769871459929124412528443121620498523795158323748941679256055643577118421888481263030216096226066179701589984816032450791510682130324671007967969318983588379355052443539115556206440662545973427627876805310122236996733994164481276513140913139546795011682886903523445108516176861833605244064448873277633314492108095545395934261879466612972627165742910637980710418328304359878844322438374935701040977010293336220592318960567213820924715561483673930858784254840269893054888550886785660923632363241551067745934344745924368829325773301404162004335785954322473006535406110788148696615046645095878032298778234931953409254872256002338762849261238103580897881139796429105251829156735470527282093239836181491048164231345376104546069718391556735354665972823188124441707869113836892009422917139709002337572970554128467992489018504467989025042769497944020459681575916050166486908082718318153068526206450420831425063471204144046739007993372356980507023481910432405986063730355398990110800430691578995504160638530109943267966677667666209632878890916822443513827679168132399092502230166218503630116704851183694400781674170305465003266401589532995403115101320063614934678234720205436616004331118069354677630372825100388381256882742261313642149103106422112870658802308473326409472130775173032215721961674782062183229071490763943138758387357307192391128499473112543769796062426474979136015504193839435656963718385519272160805916943261292832092567740426051322378416304944921203705365344496535964288827461629523882735555503297024131738991969677057487042893354024995324146427412429461620393789407684399007148735284059391995381468531397425305611402631486697283168779901152495813768348182018223611043329274240095733323390857204734864508589139205935935956543985381765568906420766812701229524517162724633112477245554886256300242655149557526534190407524536874558955862088683905199297469230362409763017020063247327805564834545501071968017109004279157371859567758968979052012165397311614944229675105835440751393921874348536780151996264465953061982436224442649423476380149472322041608067942358398795306862271531514749205576180312772236738792775471759033767249424870566489692169188033744629602781425642828014212279846173332412204981148907282526999319657962232603176733902761924151066280654559406154568853199439830914491349884307793270020212582710898849254422484846775022289820000527462733690699495722980574007915143939766694128282958415285705988592538944948119643447269770214638768173385051098680839355822015106043954525361658652996464878074912298485992121445473534889788933562010583689630697057162523448020122689021204827252344442901727981971304804478088484002815690574486284507507326937110433887668132256237441631154832486319430888571137555156036554037616693211857045079648793086597171400230653786310032804282996979301512225793314518573287250084526785367769841933029653971045184076626544590577483236649817323165476673723662315885908521694223858408787190217568285518684251388475586516690933360203895348838846085786550371287367482346563590330991280783641181162733057934182396726482311269080619495450555397622576590601686783712870056666983228512008173361653544174232287774043115015507297059414117076582935088001850941221273082667277786101974987691849155672889488019828150871979077770164925692564441779430509516864716981804162244733204682932532350425690933964655174062279917692252038670553483705377543868999829121840416249556735626856019098423743618681091699245052968980979318645984968239052743553774003651603321187935028313214053237425799707278494098654321838477397242244608466677786072069297574665025747709786892578093094308367803814531529357957669636521006221162886007452441757275213826666445202656827343958385255592609476281210373643615346489363518875895843146273282856621909972121180789155320799340223221526536786768022215392211607914257595024914162012738126841938344969544912431895174838100097031209119315468390871754898783977956}
30959 5289969218881633708822378902264667489674811065983746406332431200792181193418531111191951: {649929,773725,928470,990368,1114164,1763409,2011165,2382457,2413398,2629645,3155574,3403510,3557065,3743377,4084212,4268478,5630534,5784097,6064436,6645865,7975038,8043620,8227646,8663480,8871457,8979969,9422365,9528596,9533577,9652344,9746415,10396176,10454678,10858887,11271565,11306838,11602875,11695698,11745849,11753780,12376400,12580777,12673510,12758809,12811465,12850689,13525878,13612280,13923450,14104536,14723156,14851680,15208212,15313815,15347857,15373758,15580765,15841792,15867603,15888265,16290097,16334736,16708140,17031961,17425165,17692532,17811777,17822016,17934889,18226870,18361929,18376578,18696918,19065918,20049768,20910198,21033080,21109449,21109645,21285277,21811657,21872244,21925510,22555989,22738695,22759297,23256265,23662215,24254608,24393649,25239696,25331574,25621270,26310612,26625565,26825161,27069875,27286434,27587449,27849565,27907518,28227729,28394658,28773777,29378665,29941208,30210961,30295645,30478246,30553177,30745524,31159510,31950678,32023597,32023796,32127529,32483850,32703838,32918017,33148189,33419478,33683859,34143326,34617601,34649440,34766049,34848070,34875145,35254398,36021238,36299857,36354774,36395769,36975961,37009165,37261297,37391412,38308429,38532265,38558569,38671250,38980620,39445645,40190889,41579328,41642281,41817684,41850174,41898374,42220815,42354777,42487645,42897049,43399465,43542049,44407297,44410998,44515209,44918365,44993617,45035536,45748280,45896470,46238718,46405500,46680589,46776744,46846477,47063366,47106961,47334774,47569129,47649865,48559645,48776180,49367014,49499200,49828532,50015427,50262875,50664978,50985174,51382849,51466815,52079358,52169041,52623837,52820281,52953997,53902038,53999089,54607261,54870829,54897936,55075764,55083670,55686600,56459401,56498449,56544697,57179838,57932756,58264198,58271574,58473777,58531416,58593158,58898377,59180041,59222509,59399040,59488417,59542175,59854820,60315450,60329857,60534109,60655645,61258765,61760178,61947286,62386249,62647425,63358976,63538681,64336480,64620457,65847843,66100404,66460377,66823920,67233380,68282228,68801809,69208477,69641409,69685645,70286365,70586665,70679641,71229009,71278848,71450610,71825784,72378540,72595006,72786774,72787489,73404070,73510518,74187145,74265331,74398377,74517766,74647921,75176910,75287878,75870169,76213984,76683601,76869769,76880209,76900628,77033577,77203776,77559969,78597566,79577065,79600621,80180209,80188704,80680056,80712070,80804007,81045577,81404257,82592198,82761080,83105414,83622774,83791316,84181606,84325208,84343638,84703998,84747697,84754417,85060250,85084801,85550665,85555369,85740732,86185510,86666077,86854248,86998089,88084884,88449817,89024574,89127145,89607369,89993089,90212292,90298141,90649569,90765063,91448137,91690424,92103145,92399636,92638718,92858326,92995165,93029677,93106215,93227576,93251289,93355126,93454537,93611809,94120628,94608409,94706569,94865859,95406649,95492478,95669065,95929694,96854484,97153165,97546040,97642729,97711029,97920777,97954532,98043145,98394457,99157652,99313296,99887521,...,5191076724854391641586681767782281850672666080235208367589011293254542143230460728972345451003600056264113773946410008250155788899295255830958748563930810825179794706776657404285432614039206803194908426830882531483074080252924537602935632495732465328816508279021134891100393141551244442044763659977946261129143974670205343656628959156403644039218299197891238290392359708614863142848830809707441376809509374300860996035031367620876683658267566522018189344479598429537571966649347371331985627093534073248834194553298332042636035009867486198619018184304119005193239947961973744281184368185552622288613177823711640974738609613257332784781650390860006645637254296980829560375590509000318673923158009256257425590130136362720614609103959764909189549487176854443958329389935589078322515549953771425145827979461930709782707734829210934477067758728234609639624965609279568952328341267856502427281315732497651466971414797209627226356065306111630102340684651579146932059237462189290325615170304897310431952280826468002922635496420244098154807189893686618792664682430747785692737485623412518884083465365677632832721894545324144339099269552384977224048676187266023195487006511951953978475382569032578665308673334309660993818960141441815207965183355495100991246721914769711369709320192517524330355285167662774265292750407866096673309916449971738162143318093901392819199919458940748614365956971065627492456539818266483657562403551561465515440004330888478440850820731387073342225510896288176382260404839582332826330178491385448544862326601618901517118886553243988659952106243006503678931483709509803109166182223044922569967643817048448167352397930113882308384003508144273891857155371346821709694643657877743735103205790923139859754272236572246347018064156819104577587335103031998959234782186662561803670755338014134375709563503506359455831192701988733527756701983537564154246916030689522363874075249730362124077477229602789309675631247137595206806216070108511990058535470760535222865648608979095595533098485166200646037368493256240957795164914901950016501499314449318336375233665270741518752198598638753345249327755445175057276775541601172511255458197504899602384299493104672651980095422402017352080308154924006496677104032016445559237650582571885324113391970463223654659633169305988203462709989614208196162759548323582942512173093274843607236145914708137581035960788586692749209668815654694093639712468704023256290759153485445577578278908241208875414891939248138851610639076983567624457417381805558048016744803946433241192444285824103333254945536197608487954515586230564340031037492986219641118644192430590684111526598510723102926089087993072202797096137958417103947230045924753169851728743720652522273027335416564993911360143599985086285807102296762883708808903903934815978072648353359631150219051844286775744086949668715868332329384450363982724336289801285611286805311838433793133025857798946203845543614644525530094870991708347251818251607952025663506418736057789351638453468578018248095967422416344512658753161127090882811522805170227994396698929592973654336663974135214570224208483062412101913537598192960293407297272123808364270469158355108189163207638550650874137305849734538253782050616944404172138464242021318419769259998618307471723360923790498979486943348904765100854142886226599420981839109231853279799159746371737024826461689905030318874066348273881633727270162533434730000791194100536049243584470861011872715909650041192424437622928558982888808417422179465170904655321958152260077576648021259033733022659065931788042487979494697317112368447728988182168210302334683400343015875534446045585743785172030184033531807240878516664352591972956957206717132726004223535861729426761260990405665650831502198384356162446732248729479146332856706332734054831056425039817785567619473189629895757100345980679465049206424495468952268338689971777859930875126790178051654762899544480956567776114939816885866224854974725984748215010585493473828862782541335787613180785326352428278026377082713379775036400040305843023258269128679825556931051223519845385496486921175461771744099586901273595089723466903620929243175833096433864885902530175569305085000474842768012260042480316261348431661064672523260945589121175614874402632002776411831909624000916679152962481537773733509334232029742226307968616655247388538846662669145764275297075472706243367099807024398798525638536400946982761093419876538378058005830225558066315803499743682760624374335103440284028647635615428021637548867579453471468977968977452358579115330661005477404981781902542469821079856138699560917741147981482757716095863366912700016679108103946361997538621564680338867139641462551705721797294036936504454781509331744329011178662635912820739999667803985241015937577883388914214421815560465423019734045278313843764719409924284932864958181771183732981199010334832289805180152033323088317411871386392537371243019107190262907517454317368647842762257150145546813678973202586307632348175966934}
30960 5306141384557071567215603928139420522581147694511457500889773281323645582046941310202460: {340439,587879,711551,866572,896999,1051994,1237960,1392705,1485552,1671246,2069831,2351212,2439599,2747519,2905634,3116759,3217864,3301271,3362759,3620097,4038599,4207432,4652159,4733361,4836071,5105265,5445616,5494682,5509799,5691304,6060311,6126318,6402717,6602114,7159391,7580545,7890671,8073311,8316719,8445801,8681591,9096654,9181082,9531839,9713831,10054525,10633384,10829350,11227631,11710991,11910745,11962557,11973292,12065430,12254159,12341469,12711436,12856919,12869792,12995220,13157999,13519031,13861568,14120111,14240231,14292894,14478516,14692225,14960279,15075784,15414914,15470500,15594264,15661132,15682017,16510682,16934471,16960257,17015350,17134252,17240474,17292479,17352119,17543547,17630670,18007631,18034504,18403945,18564600,18602711,18781079,18806048,19010265,19434479,19612511,19790471,19802240,20277616,20288817,20418420,20498344,20885175,20915879,21156804,21211559,21222782,21743279,21779648,22084734,22115665,22277520,22812318,22863671,23060637,23334551,23749036,23762688,24482572,24502104,24506714,24744119,24802751,24919991,24929224,25062210,25421224,25591682,25798271,25973711,26198557,26291350,26538798,26733024,27340305,27397082,27564867,27880264,28045377,28118234,28145932,28422311,28478594,28598877,29119319,29162992,29293391,29918594,30074652,30318260,30336311,30914591,30997082,31087919,31365297,31549620,32471951,32644631,32759711,32808366,32888265,33104759,33506951,33652928,33775432,34582682,34882919,35080816,35740559,36381912,36767351,37210024,37426510,37440794,37636972,37859544,37905191,37997361,38245919,38302679,38365036,38431905,38472911,39096479,39322991,39406094,39465918,40029745,40284239,40622951,40929651,40994032,41861277,42031151,42199799,42312191,42591987,42600904,43041959,43311800,43826351,44559304,44832551,44911812,45055799,45557639,45717369,45836159,45959834,46118286,46170119,46354732,46739265,46892711,47005864,47336711,47558519,47724791,47926017,48035694,48076634,48473032,48527692,48555071,48720911,48725775,49055757,49484954,49855216,49989959,50129217,50539682,51199871,51214989,51364559,51974160,52132151,52272105,52881597,53116751,53335199,53345954,53587852,54031857,54532161,54745634,55241159,55439104,55756912,55793882,55800232,56087118,56109191,56294420,56473036,56596559,56840834,57185350,57893039,58006875,58216439,58470930,58647191,58969919,59214664,59353612,60097199,60311519,60970225,61651624,61709474,61754831,61874000,62021471,62285665,62368992,62726526,62775261,62847561,63113032,63457871,64253351,65169794,65205551,65838911,66207839,66616497,66687236,66786791,66944519,66997079,67417271,67553304,67980232,68046599,68256119,68622420,68831639,68844705,69145151,69358077,69439144,69608250,69771311,70165116,70292231,70595049,71002161,71694719,71869384,71953799,72389594,72415945,72419639,72471359,72626471,73164270,73197248,73434352,73784557,73967759,74050521,74248800,74742798,74818525,75354911,75559919,75713591,75867191,75997467,76239784,76477761,76486682,77093399,77348279,77552039,77695432,77965036,78041888,78119037,78264191,78771911,79198720,79784951,80138759,80229121,80391239,80420600,80845199,80853057,81449471,81574129,81600359,82346904,82613646,82625505,82955111,83529900,83855039,84041725,84281474,84353879,84901679,85352785,85547831,85769757,86588759,86899134,87280751,87396297,87407361,87797124,87889737,88020431,88069679,88133872,88364999,88512551,88613836,89052959,89098560,89249231,89347319,89782230,90277559,90473175,90570719,91448471,91594511,91666082,91983599,92323631,92333954,92640267,92855212,92920929,94500191,94556749,94972012,94999682,95038464,95267480,95767712,96125785,96373439,96504720,96803999,96899591,97049032,98014024,98329631,99041951,99150606,99197836,99231599,...,7786615087281587462380022651673422776008999120352812551383516939881813214845691093458518176505400084396170660919615012375233683348942883746438122845896216237769692060164986106428148921058810204792362640246323797224611120379386806404403448743598697993224762418531702336650589712326866663067145489966919391693715962005308015484943438734605466058827448796836857435588539562922294714273246214561162065214264061451291494052547051431315025487401349783027284016719397644306357949974021056997978440640301109873251291829947498063954052514801229297928527276456178507789859921942960616421776552278328933432919766735567461462107914419885999177172475586290009968455881445471244340563385763500478010884737013884386138385195204544080921913655939647363784324230765281665937494084903383617483773324930657137718741969192896064674061602243816401715601638092351914459437448413919353428492511901784753640921973598746477200457122195814440839534097959167445153511026977368720398088856193283935488422755457345965647928421239702004383953244630366147232210784840529928188997023646121678539106228435118778326125198048516449249082841817986216508648904328577465836073014280899034793230509767927930967713073853548867997963010001464491490728440212162722811947775033242651486870082872154567054563980288776286495532927751494161397939125611799145009964874674957607243214977140852089228799879188411122921548935456598441238684809727399725486343605327342198273160006496332717661276231097080610013338266344432264573390607259373499239495267737078172817293489902428352275678329829865982989928159364509755518397225564264704663749273334567383854951465725572672251028596895170823462576005262216410837785733057020232564541965486816615602654808686384709789631408354858369520527096235228656866381002654547998438852173279993842705506133007021201563564345255259539183746789052983100291635052975306346231370374046034283545811112874595543186116215844404183964513446870706392810209324105162767985087803206140802834298472913468643393299647727749300969056052739884361436692747372352925024752248971673977504562850497906112278128297897958130017873991633167762585915163312401758766883187296257349403576449239657008977970143133603026028120462232386009745015656048024668338856475873857827986170087955694835481989449753958982305194064984421312294244139322485374413768259639912265410854218872062206371553941182880039123814503223482041140459568703056034884436138730228168366367418362361813313122337908872208277415958615475351436686126072708337072025117205919649861788666428736154999882418304296412731931773379345846510046556239479329461677966288645886026167289897766084654389133631989608304195644206937625655920845068887129754777593115580978783409541003124847490867040215399977629428710653445144325563213355855902223967108972530039446725328577766430163616130424503073802498494076675545974086504434701928416930207967757650689699538786698419305768315421966788295142306487562520877727377411928038495259628104086684027457680202867027372143951133624516768988129741690636324217284207755341991595048394389460481504995961202821855336312724593618152870306397289440440110945908185712546405703737532662283744811457825976311205958774601807380673075925416606258207696363031977629653889997927461207585041385685748469230415023357147651281214329339899131472758663847779919698739619557605537239692534857545478311099522410822450590905243800152095001186791150804073865376706291517809073864475061788636656434392838474333212626133269197756356982982937228390116364972031888550599533988598897682063731969242045975668552671593482273252315453502025100514523813301669068378615677758045276050297710861317774996528887959435435810075699089006335303792594140141891485608498476247253297576534243670098373094218719499285059499101082246584637559726678351429209784444843635650518971019197573809636743203428402508034957666789896312690185267077482144349316721434851664172409725328799337282462088977122322515878240210743294173812003681419771177989528642417039565624070069662554600060458764534887403693019738335396576835279768078244730381763192657616149380351910392634585200355431393864763749644650797328853795263353957627500712264152018390063720474392022647491597008784891418383681763422311603948004164617747864436001375018729443722306660600264001348044613339461952924982871082808269994003718646412945613209059365050649710536598197788457804601420474141640129814807567087008745338337099473705249615524140936561502655160426042971453423142032456323301369180207203466953466178537868672995991508216107472672853813704731619784208049341376611721972224136574143795050369050025018662155919542996307932347020508300709462193827558582695941055404756682172263997616493516767993953869231109999501705977861523906366825083371321632723340698134529601067917470765647079114886427399297437272656775599471798515502248434707770228049984632476117807079588806056864528660785394361276181476052971764143385725218320220518459803879461448522263950401}
30961 5322362706805373787852708176708794083230217517439536204254284960442031552903847230640770: {1083215,1299858,1547450,1577991,1856940,1980736,2228328,2506869,2815631,2939015,3526818,3681503,4022330,4358451,4423991,4764914,4826796,4979891,5259290,6311148,6464579,6807020,6835751,7114130,7486754,8168424,8242023,8536956,9189477,9304211,9903171,11261068,11568194,12128872,13191311,13291730,13644981,13771623,14868191,14966615,15780191,15889295,15950076,16087240,16244025,16455292,17326960,17742914,17936051,17959938,18098145,18206579,18844730,19057192,19067154,19304688,19338125,19492830,19576415,20792352,20909356,21417815,21439341,21717774,21813071,22243571,22543130,22613676,23122371,23205750,23391396,23491698,23507560,24395231,24752800,24766023,25161554,25347020,25517618,25523025,25622930,25701378,25860711,26446005,26826899,26897351,27051756,27224560,27846900,28209072,29446312,29553503,29686295,29703360,30416424,30603215,30627630,30695714,30747516,31161530,31683584,31702463,31735206,31776530,31834173,32558771,32580194,32669472,32920151,33127101,33416280,34063922,34218477,34850330,35182415,35385064,35434271,35623554,35644032,35703863,35791079,35869778,36453740,36723858,36753156,36760071,36978359,37275791,37393836,37593315,37897825,38131836,38310911,38387523,38903111,38989391,39437025,39808197,40099536,41095623,41130131,41644979,41820396,42066160,42177351,42218898,42219290,42413903,42570554,42717891,42815303,42899831,43623314,43698863,43744488,43851020,44877891,45111978,45477390,45518594,46495623,46512530,47046215,47324430,47572211,47956295,48509216,48664643,48787298,48825203,49131671,49212549,50479392,50663148,51242540,51812831,51874023,52172423,52481351,52621224,53251130,53650322,53945171,54002591,54139750,54572868,54610799,55174898,55223903,55671863,55699130,55815036,56070803,56139765,56161191,56455458,56463059,56789316,57547554,57943415,58373279,58757330,59109141,59183879,59198877,59482703,59882416,60351923,60421922,60538031,60591290,60659615,60759251,60956492,61106354,61491048,62319020,62390291,62885711,63901356,64047194,64047592,64255058,64967700,65297111,65328503,65407676,65836034,66189863,66296378,66533903,66709811,66825551,66838956,66984815,67367718,67920659,67983503,68286652,68806271,68939751,69177429,69235202,69298880,69532098,69696140,69750290,70368025,70508796,70591295,70684223,72042476,72053541,72114951,72599714,72709548,72791538,73951922,74018330,74192015,74227431,74522594,74782824,75373331,75554099,75809523,76369631,76616858,77064530,77117138,77178359,77288303,77342500,77961240,78289283,78891290,80018931,80381778,81050831,81350723,82118451,83158656,83284562,83328551,83359045,83635368,83690823,83700348,83796748,84130677,84441630,84709554,84753191,84917903,84975290,85090319,85261251,85294151,85762271,85778025,85794098,86798930,87084098,87706395,88455551,88814594,88821996,88881731,89030418,89836730,89987234,90071072,91496560,91792940,92086223,92477436,92564211,92811000,93361178,93553488,93692954,94089789,94126732,94213922,94657751,94669548,94712711,95138258,95299730,96205031,96525599,97119290,97456295,97552360,97559903,97754691,98400911,98734028,98821331,98998400,99657064,99893999,...,10382153449708783283173363535564563701345332160470416735178022586509084286460921457944690902007200112528227547892820016500311577798590511661917497127861621650359589413553314808570865228078413606389816853661765062966148160505849075205871264991464930657633016558042269782200786283102488884089527319955892522258287949340410687313257918312807288078436598395782476580784719417229726285697661619414882753619018748601721992070062735241753367316535133044036378688959196859075143933298694742663971254187068146497668389106596664085272070019734972397238036368608238010386479895923947488562368736371105244577226355647423281949477219226514665569563300781720013291274508593961659120751181018000637347846316018512514851180260272725441229218207919529818379098974353708887916658779871178156645031099907542850291655958923861419565415469658421868954135517456469219279249931218559137904656682535713004854562631464995302933942829594419254452712130612223260204681369303158293864118474924378580651230340609794620863904561652936005845270992840488196309614379787373237585329364861495571385474971246825037768166930731355265665443789090648288678198539104769954448097352374532046390974013023903907956950765138065157330617346668619321987637920282883630415930366710990201982493443829539422739418640385035048660710570335325548530585500815732193346619832899943476324286636187802785638399838917881497228731913942131254984913079636532967315124807103122931030880008661776956881701641462774146684451021792576352764520809679164665652660356982770897089724653203237803034237773106487977319904212486013007357862967419019606218332364446089845139935287634096896334704795860227764616768007016288547783714310742693643419389287315755487470206411581846279719508544473144492694036128313638209155174670206063997918469564373325123607341510676028268751419127007012718911662385403977467055513403967075128308493832061379044727748150499460724248154954459205578619351262494275190413612432140217023980117070941521070445731297217958191191066196970332401292074736986512481915590329829803900033002998628898636672750467330541483037504397197277506690498655510890350114553551083202345022510916395009799204768598986209345303960190844804034704160616309848012993354208064032891118475301165143770648226783940926447309319266338611976406925419979228416392325519096647165885024346186549687214472291829416275162071921577173385498419337631309388187279424937408046512581518306970891155156557816482417750829783878496277703221278153967135248914834763611116096033489607892866482384888571648206666509891072395216975909031172461128680062074985972439282237288384861181368223053197021446205852178175986144405594192275916834207894460091849506339703457487441305044546054670833129987822720287199970172571614204593525767417617807807869631956145296706719262300438103688573551488173899337431736664658768900727965448672579602571222573610623676867586266051715597892407691087229289051060189741983416694503636503215904051327012837472115578703276906937156036496191934844832689025317506322254181765623045610340455988793397859185947308673327948270429140448416966124824203827075196385920586814594544247616728540938316710216378326415277101301748274611699469076507564101233888808344276928484042636839538519997236614943446721847580997958973886697809530201708285772453198841963678218463706559598319492743474049652923379810060637748132696547763267454540325066869460001582388201072098487168941722023745431819300082384848875245857117965777616834844358930341809310643916304520155153296042518067466045318131863576084975958989394634224736895457976364336420604669366800686031751068892091171487570344060368067063614481757033328705183945913914413434265452008447071723458853522521980811331301663004396768712324893464497458958292665713412665468109662112850079635571135238946379259791514200691961358930098412848990937904536677379943555719861750253580356103309525799088961913135552229879633771732449709949451969496430021170986947657725565082671575226361570652704856556052754165426759550072800080611686046516538257359651113862102447039690770992973842350923543488199173802547190179446933807241858486351666192867729771805060351138610170000949685536024520084960632522696863322129345046521891178242351229748805264005552823663819248001833358305924963075547467018668464059484452615937233310494777077693325338291528550594150945412486734199614048797597051277072801893965522186839753076756116011660451116132631606999487365521248748670206880568057295271230856043275097735158906942937955937954904717158230661322010954809963563805084939642159712277399121835482295962965515432191726733825400033358216207892723995077243129360677734279282925103411443594588073873008909563018663488658022357325271825641479999335607970482031875155766777828428843631120930846039468090556627687529438819848569865729916363542367465962398020669664579610360304066646176634823742772785074742486038214380525815034908634737295685524514300291093627357946405172615264696351933868}
30962 5338633334182951800060591529248516640967024177750054040894514246829578340597610208169664: {402337,680878,958861,1175758,1423102,1733144,1793998,1949787,2103988,2321175,2475920,2785410,2971104,3178477,3342492,3362977,4139662,4702424,4879198,5290227,5495038,5571361,5811268,6033495,6121837,6233518,6435728,6602542,6725518,7147371,7240194,7888935,8077198,8414864,8508775,9304318,9466722,9593137,9672142,10138861,10210530,10612763,10671195,10891232,10989364,11019598,11230131,11382608,12120622,12252636,12496177,12805434,13204228,13219057,14076335,14318782,15161090,15781342,16146622,16633438,16675043,16891602,17352291,17353261,17363182,18193308,18362164,19063678,19427662,19495117,19937595,20109050,20569115,20917261,21266768,21449377,21658700,22334797,22455262,22688461,23421982,23821490,23925114,23946584,24130860,24508318,24682938,24804397,24980257,25422872,25682977,25713838,25739584,25765523,25858477,25990440,26136695,26315998,26614371,26939907,27038062,27723136,28240222,28267095,28480462,28585788,28600731,28957032,29239245,29384450,29920558,30151568,30829828,30941000,30961931,31188528,31322264,31364034,31683775,32576661,33021364,33681457,33814695,33868942,33920514,34030700,34268504,34480948,34584958,34704238,34808625,35087094,35237547,35261340,35742961,36015262,36069008,36807890,37129200,37205422,37562158,37612096,37742331,37964557,38020530,38276427,38305261,38434395,38552067,38868958,39155761,39225022,39580942,39604480,40555232,40577634,40836840,40851361,40996688,41770350,41831758,42313608,42423118,42445564,43486558,43559296,43885297,44169468,44231330,44555040,45567175,45624636,45727342,45941445,46043571,46121274,46395757,46669102,46742295,47498072,47525376,47602809,47664795,48870291,48965144,49004208,49013428,49488238,49552417,49605502,49839982,49858448,50124420,50842448,50873761,51095883,51183364,51203377,51596542,51947422,52026157,52190497,52275495,52397114,52582700,53077596,53338861,53435331,53466048,53804667,54156961,54680610,54794164,54813775,55085787,55129734,55760528,56041643,56090754,56236468,56291864,56844622,56957188,57197754,58238638,58325984,58586782,58705057,59350177,59837188,60149304,60154957,60636520,60672622,61829182,61994164,62175838,62730594,63099240,63328347,63328935,63356077,63855831,64053175,64310797,64628461,64943902,65289262,65434971,65519422,65616732,65738017,65776530,66209518,67001761,67013902,67305856,67550864,67667967,67789261,68103757,68216085,68260897,68277891,69165364,69765838,69768795,70161632,70986645,71481118,72476461,72763824,73180947,73534702,74420048,74853020,74881588,75273944,75719088,75810382,75872557,75994722,76195615,76491838,76605358,76730072,76863810,76945822,77898775,78192958,78645982,78812188,78931836,79876695,80059490,80144461,80475483,80568478,81209625,81245902,81759595,81859302,81988064,82762347,83548695,83722554,83910961,84062302,84359917,84399598,84624382,84683187,85183974,85201808,85358315,85404961,85851757,86083918,86321331,86623600,87120175,87199931,87652702,87928237,88076017,88135995,89118608,89549857,89665102,89823624,90053095,90111598,90577261,90632883,90886935,91115278,91434738,91659531,91672318,91919668,92038861,92236572,92340238,92709464,93478530,93785422,94011728,94507057,94673422,95117038,95449582,95852034,96070791,96071388,96153268,96382587,96678125,96946064,97055384,97110142,97441822,97451550,98111514,98754051,98969908,99444567,99710432,99979918,...,15573230174563174924760045303346845552017998240705625102767033879763626429691382186917036353010800168792341321839230024750467366697885767492876245691792432475539384120329972212856297842117620409584725280492647594449222240758773612808806897487197395986449524837063404673301179424653733326134290979933838783387431924010616030969886877469210932117654897593673714871177079125844589428546492429122324130428528122902582988105094102862630050974802699566054568033438795288612715899948042113995956881280602219746502583659894996127908105029602458595857054552912357015579719843885921232843553104556657866865839533471134922924215828839771998354344951172580019936911762890942488681126771527000956021769474027768772276770390409088161843827311879294727568648461530563331874988169806767234967546649861314275437483938385792129348123204487632803431203276184703828918874896827838706856985023803569507281843947197492954400914244391628881679068195918334890307022053954737440796177712386567870976845510914691931295856842479404008767906489260732294464421569681059856377994047292243357078212456870237556652250396097032898498165683635972433017297808657154931672146028561798069586461019535855861935426147707097735995926020002928982981456880424325445623895550066485302973740165744309134109127960577552572991065855502988322795878251223598290019929749349915214486429954281704178457599758376822245843097870913196882477369619454799450972687210654684396546320012992665435322552462194161220026676532688864529146781214518746998478990535474156345634586979804856704551356659659731965979856318729019511036794451128529409327498546669134767709902931451145344502057193790341646925152010524432821675571466114040465129083930973633231205309617372769419579262816709716739041054192470457313732762005309095996877704346559987685411012266014042403127128690510519078367493578105966200583270105950612692462740748092068567091622225749191086372232431688808367929026893741412785620418648210325535970175606412281605668596945826937286786599295455498601938112105479768722873385494744705850049504497943347955009125700995812224556256595795916260035747983266335525171830326624803517533766374592514698807152898479314017955940286267206052056240924464772019490031312096049336677712951747715655972340175911389670963978899507917964610388129968842624588488278644970748827536519279824530821708437744124412743107882365760078247629006446964082280919137406112069768872277460456336732734836724723626626244675817744416554831917230950702873372252145416674144050234411839299723577332857472309999764836608592825463863546758691693020093112478958658923355932577291772052334579795532169308778267263979216608391288413875251311841690137774259509555186231161957566819082006249694981734080430799955258857421306890288651126426711711804447934217945060078893450657155532860327232260849006147604996988153351091948173008869403856833860415935515301379399077573396838611536630843933576590284612975125041755454754823856076990519256208173368054915360405734054744287902267249033537976259483381272648434568415510683983190096788778920963009991922405643710672625449187236305740612794578880880221891816371425092811407475065324567489622915651952622411917549203614761346151850833212516415392726063955259307779995854922415170082771371496938460830046714295302562428658679798262945517327695559839397479239115211074479385069715090956622199044821644901181810487600304190002373582301608147730753412583035618147728950123577273312868785676948666425252266538395512713965965874456780232729944063777101199067977197795364127463938484091951337105343186964546504630907004050201029047626603338136757231355516090552100595421722635549993057775918870871620151398178012670607585188280283782971216996952494506595153068487340196746188437438998570118998202164493169275119453356702858419568889687271301037942038395147619273486406856805016069915333579792625380370534154964288698633442869703328344819450657598674564924177954244645031756480421486588347624007362839542355979057284834079131248140139325109200120917529069774807386039476670793153670559536156489460763526385315232298760703820785269170400710862787729527499289301594657707590526707915255001424528304036780127440948784045294983194017569782836767363526844623207896008329235495728872002750037458887444613321200528002696089226678923905849965742165616539988007437292825891226418118730101299421073196395576915609202840948283280259629615134174017490676674198947410499231048281873123005310320852085942906846284064912646602738360414406933906932357075737345991983016432214945345707627409463239568416098682753223443944448273148287590100738100050037324311839085992615864694041016601418924387655117165391882110809513364344527995232987033535987907738462219999003411955723047812733650166742643265446681396269059202135834941531294158229772854798594874545313551198943597031004496869415540456099969264952235614159177612113729057321570788722552362952105943528286771450436640441036919607758922897044527900802}
30963 5354953415692587723178372685729818532136535158442832051421584484031030063803430437082125: {1021317,1516501,1763637,2134653,2166430,2599716,2629985,2690997,3094900,3155982,3713880,3743861,3961472,4114621,4178115,4456656,5013738,5228353,5631262,5878030,6209493,7053636,7264085,7318797,7363006,7639957,8044660,8242557,8716902,8847982,9350277,9529828,9653592,9903813,9959782,10088277,10518580,10860291,12115797,12622296,12929158,13614040,13671502,13736705,13940861,13956477,14200083,14228260,14508213,14973508,15315795,16336848,16484046,16505285,16529397,17073912,18180933,18378954,18608422,19208151,19806342,20049557,20617637,20953261,21478173,22245013,22522136,22741635,22952705,23136388,23672013,24118061,24219933,24257744,24950157,25337403,26044773,26382622,26583460,27073375,27289962,27406981,27543246,27834593,28183397,28595517,29141493,29736382,29933230,29984941,30163575,31560382,31704517,31778590,31900152,32174480,32488050,32910584,33395333,33682893,34275461,34653920,35132973,35485828,35732235,35872102,35887671,35919876,36196290,36413158,36731777,36762477,37024407,37689460,38114384,38134308,38332877,38537285,38570757,38609376,38676250,38905633,38985660,39152830,39473997,40557093,41276705,41560813,41584704,41818712,41905517,42360333,42538375,42720693,42818077,42835630,42844501,42878682,43101185,43435548,43626142,43701697,44076675,44487142,44880837,45086260,45227352,46244742,46411500,46782792,46983396,47015120,47046051,47464097,48790462,49255381,49505600,49532046,50323108,50409077,50486117,50694040,50803413,50880771,51035236,51046050,51245860,51402756,51721422,51877437,51910961,52056357,52630641,52892010,53056955,53653798,53794702,54022893,54103512,54449120,55211835,55693800,55808133,56096141,56343237,56418144,57030795,58303437,58377061,58837533,58892624,59107006,59371413,59372590,59406720,60355837,60592037,60832848,60866451,61206430,61255260,61266785,61391428,61495032,62323060,62655525,62747637,63151997,63367168,63404926,63470412,63553060,63634677,63668346,63979205,65117542,65160388,65229837,65338944,65728375,65840302,65864701,66254202,66346995,66832560,67078337,67138813,68127844,68189621,68436954,68492705,68591013,69181911,69700660,69833917,70003653,70295585,70364830,70770128,70868542,71196485,71247108,71288064,71407726,71582158,71638997,71739556,71754161,72907480,73447716,73506312,73520142,73956718,74232357,74258357,74361421,74408253,74551582,74759973,74787672,74796485,75186630,75558997,75795650,76263672,76499461,76621822,76775046,77169313,77394813,77492705,77806222,77921133,77978782,78595671,78874050,79616394,80199072,80744477,80943157,81120781,82020915,82191246,82260262,82694601,83289958,83333953,83640792,84132320,84136131,84354702,84437796,84438580,84827806,84923461,85141108,85266933,85435782,85630606,85796631,85799662,86456705,87246628,87357957,87397726,87488976,87702040,87880173,88783277,88887493,89077573,89755782,89807261,90223956,90503393,90954780,91008933,91037188,92743773,92827517,92991246,93025060,93263757,93566275,93601985,93778741,94092430,94095891,94648860,94804061,95144422,95328757,95912590,96471077,97018432,97060253,97329286,97415853,97574596,97650406,97933893,98263342,98279133,98425098,98436997,98515235,98664795,98827813,99314277,...,23359845261844762387140067955020268328026997361058437654150550819645439644537073280375554529516200253188511982758845037125701050046828651239314368537688648713309076180494958319284446763176430614377087920738971391673833361138160419213210346230796093979674287255595107009951769136980599989201436469900758175081147886015924046454830316203816398176482346390510572306765618688766884142819738643683486195642792184353874482157641154293945076462204049349081852050158192932919073849922063170993935321920903329619753875489842494191862157544403687893785581829368535523369579765828881849265329656834986800298759300206702384386323743259657997531517426758870029905367644336413733021690157290501434032654211041653158415155585613632242765740967818942091352972692295844997812482254710150852451319974791971413156225907578688194022184806731449205146804914277055743378312345241758060285477535705354260922765920796239431601371366587443322518602293877502335460533080932106161194266568579851806465268266372037896943785263719106013151859733891098441696632354521589784566991070938365035617318685305356334978375594145549347747248525453958649525946712985732397508219042842697104379691529303783792903139221560646603993889030004393474472185320636488168435843325099727954460610248616463701163691940866328859486598783254482484193817376835397435029894624024872821729644931422556267686399637565233368764646806369795323716054429182199176459030815982026594819480019488998152983828693291241830040014799033296793720171821778120497718485803211234518451880469707285056827034989489597948969784478093529266555191676692794113991247820003702151564854397176718016753085790685512470387728015786649232513357199171060697693625896460449846807964426059154129368894225064575108561581288705685970599143007963643995316556519839981528116518399021063604690693035765778617551240367158949300874905158925919038694111122138102850637433338623786629558348647533212551893540340612119178430627972315488303955263409618422408502895418740405930179898943183247902907168158219653084310078242117058775074256746915021932513688551493718336834384893693874390053621974899503287757745489937205276300649561888772048210729347718971026933910429400809078084361386697158029235046968144074005016569427621573483958510263867084506445968349261876946915582194953263936882732417967456123241304778919736796232562656616186619114661823548640117371443509670446123421378706109168104653308416190684505099102255087085439939367013726616624832247875846426054310058378218125011216075351617758949585365999286208464999647254912889238195795320138037539530139668718437988385033898865937658078501869693298253963167400895968824912586932620812876967762535206661389264332779346742936350228623009374542472601120646199932888286131960335432976689640067567706671901326917590118340175985733299290490848391273509221407495482230026637922259513304105785250790623903272952069098616360095257917304946265900364885426919462687562633182132235784115485778884312260052082373040608601082116431853400873550306964389225071908972651852623266025974785145183168381444514987883608465566008938173780854458610919191868321320332837724557137639217111212597986851234434373477928933617876323805422142019227776249818774623089089095932888961669993782383622755124157057245407691245070071442953843642988019697394418275991543339759096218858672816611719077604572636434933298567232467351772715731400456285003560373452412221596130118874553427221593425185365909969303178515422999637878399807593269070948948811685170349094916095665651798601965796693046191195907726137927005658014780446819756946360506075301543571439905007205135847033274135828150893132583953324989586663878306307430227097267019005911377782420425674456825495428741759892729602731010295119282656158497855178497303246739753912679180035054287629353334530906951556913057592721428910229610285207524104873000369688938070555801232446433047950164304554992517229175986398011847386266931366967547634720632229882521436011044259313533968585927251118696872210208987663800181376293604662211079059215006189730505839304234734191145289577972848448141055731177903755601066294181594291248933952391986561385790061872882502136792456055170191161423176067942474791026354674255151045290266934811844012493853243593308004125056188331166919981800792004044133840018385858774948613248424809982011155939238836839627178095151949131609794593365373413804261422424920389444422701261026236015011298421115748846572422809684507965481278128914360269426097368969904107540621610400860398535613606018987974524648322418018561441114194859352624148024129835165916672409722431385151107150075055986467758628988923797041061524902128386581482675748087823166214270046516791992849480550303981861607693329998505117933584571719100475250113964898170022094403588803203752412296941237344659282197892311817970326798415395546506745304123310684149953897428353421238766418170593585982356183083828544428158915292430157175654960661555379411638384345566791851203}
30964 5371323100784767865127527903509935511622721542162437841242702334664080406393469513540981: {711643,804674,1361756,1638283,1917722,2193403,2351516,2563123,2846204,3249645,3466288,3486163,3587996,3868625,3899574,4207976,4642350,4733973,4951840,5570820,5877643,5942208,6356954,6684984,6725954,7520607,7708963,7891699,8279324,8446893,8817045,8986603,9404848,9758396,10055825,10580454,10990076,11044509,11142722,11622536,11912285,12066990,12243674,12467036,12871456,13075353,13148225,13205084,13271973,13451036,14242099,14294742,14480388,14939673,15777870,16154396,16829728,17017550,17785325,18608636,18716885,18724099,18933444,19186274,19344284,19393737,19437043,19706869,20277722,20421060,20507253,21225526,21342390,21782464,21978728,22039196,22460262,22765216,22984483,24241244,24505272,24726069,24923299,24992354,25610868,26408456,26438114,27568431,27912633,28152670,28600483,28637564,28796761,28920485,29709513,30322180,31562684,32293244,32591443,32764099,33229325,33266876,33350086,33783204,34704582,34706522,34726364,36373243,36386616,36591373,36724328,38127356,38591563,38855324,38990234,39573933,39875190,40218100,40934943,41138230,41169161,41314869,41834522,42149299,42317923,42533536,42898754,43317400,43664323,44357285,44503483,44604573,44669594,44899845,44910524,45376922,45675283,46843964,47010163,47111825,47340573,47642980,47667885,47850228,47893168,48008299,48261720,48732075,48838099,49016636,49365876,49608794,49960514,50327203,50657323,50845744,51365954,51427676,51479168,51531046,51716954,51980880,52273390,52631996,52796083,53228742,53808153,53879814,54076124,54294435,54619737,55248763,55446272,56062723,56357825,56480444,56534190,56960924,57171576,57201462,57914064,58008883,58014375,58478490,58729245,58768900,59622763,59841116,60303136,61659656,61882000,61923862,62377056,62644528,62728068,62903885,63367550,63625963,63794045,64057325,64253445,64318023,65056099,65153322,65439213,66042728,66730713,66796123,67362914,67426699,67629390,67737884,67841028,68061400,68370403,68537008,68961896,68998099,69154843,69169916,69367113,69408476,69617250,69781099,70174188,70475094,70522680,71485922,71963923,72030524,72138016,73185693,73615780,74258400,74298069,74410844,75124316,75211699,75224192,75484662,75929114,75980299,76041060,76552854,76569075,76610522,76739285,76868790,77104134,77582133,77664883,77737916,77903825,78311522,78450044,78884563,79161884,79208960,79338015,79441325,80480697,80692053,81110464,81155268,81450485,81673680,81702722,81993376,82966963,83540700,83663516,84166483,84465643,84627216,84846236,84891128,85159805,86973116,87118592,87125825,87293299,87770594,88338936,88462660,88623643,88660509,89058885,89110080,89360203,89674445,91134350,91249272,91454684,91809645,91882890,92087142,92242548,92434099,92791514,93338204,93484590,94031563,94996144,95050752,95107389,95205618,95329590,95502519,96770299,96913723,97486699,97676313,97740582,97930288,98008416,98026856,98760453,98976476,99104834,99211004,99381303,99679964,99716896,...,31146460349126349849520090606693691104035996481411250205534067759527252859382764373834072706021600337584682643678460049500934733395771534985752491383584864951078768240659944425712595684235240819169450560985295188898444481517547225617613794974394791972899049674126809346602358849307466652268581959867677566774863848021232061939773754938421864235309795187347429742354158251689178857092984858244648260857056245805165976210188205725260101949605399132109136066877590577225431799896084227991913762561204439493005167319789992255816210059204917191714109105824714031159439687771842465687106209113315733731679066942269845848431657679543996708689902345160039873823525781884977362253543054001912043538948055537544553540780818176323687654623758589455137296923061126663749976339613534469935093299722628550874967876771584258696246408975265606862406552369407657837749793655677413713970047607139014563687894394985908801828488783257763358136391836669780614044107909474881592355424773135741953691021829383862591713684958808017535812978521464588928843139362119712755988094584486714156424913740475113304500792194065796996331367271944866034595617314309863344292057123596139172922039071711723870852295414195471991852040005857965962913760848650891247791100132970605947480331488618268218255921155105145982131711005976645591756502447196580039859498699830428972859908563408356915199516753644491686195741826393764954739238909598901945374421309368793092640025985330870645104924388322440053353065377729058293562429037493996957981070948312691269173959609713409102713319319463931959712637458039022073588902257058818654997093338269535419805862902290689004114387580683293850304021048865643351142932228080930258167861947266462410619234745538839158525633419433478082108384940914627465524010618191993755408693119975370822024532028084806254257381021038156734987156211932401166540211901225384925481496184137134183244451498382172744464863377616735858053787482825571240837296420651071940351212824563211337193891653874573573198590910997203876224210959537445746770989489411700099008995886695910018251401991624449112513191591832520071495966532671050343660653249607035067532749185029397614305796958628035911880572534412104112481848929544038980062624192098673355425903495431311944680351822779341927957799015835929220776259937685249176976557289941497655073038559649061643416875488248825486215764731520156495258012893928164561838274812224139537744554920912673465469673449447253252489351635488833109663834461901405746744504290833348288100468823678599447154665714944619999529673217185650927727093517383386040186224957917317846711865154583544104669159591064338617556534527958433216782576827750502623683380275548519019110372462323915133638164012499389963468160861599910517714842613780577302252853423423608895868435890120157786901314311065720654464521698012295209993976306702183896346017738807713667720831871030602758798155146793677223073261687867153180569225950250083510909509647712153981038512416346736109830720811468109488575804534498067075952518966762545296869136831021367966380193577557841926019983844811287421345250898374472611481225589157761760443783632742850185622814950130649134979245831303905244823835098407229522692303701666425032830785452127910518615559991709844830340165542742993876921660093428590605124857317359596525891034655391119678794958478230422148958770139430181913244398089643289802363620975200608380004747164603216295461506825166071236295457900247154546625737571353897332850504533076791025427931931748913560465459888127554202398135954395590728254927876968183902674210686373929093009261814008100402058095253206676273514462711032181104201190843445271099986115551837741743240302796356025341215170376560567565942433993904989013190306136974680393492376874877997140237996404328986338550238906713405716839137779374542602075884076790295238546972813713610032139830667159585250760741068309928577397266885739406656689638901315197349129848355908489290063512960842973176695248014725679084711958114569668158262496280278650218400241835058139549614772078953341586307341119072312978921527052770630464597521407641570538340801421725575459054998578603189315415181053415830510002849056608073560254881897568090589966388035139565673534727053689246415792016658470991457744005500074917774889226642401056005392178453357847811699931484331233079976014874585651782452836237460202598842146392791153831218405681896566560519259230268348034981353348397894820998462096563746246010620641704171885813692568129825293205476720828813867813864714151474691983966032864429890691415254818926479136832197365506446887888896546296575180201476200100074648623678171985231729388082033202837848775310234330783764221619026728689055990465974067071975815476924439998006823911446095625467300333485286530893362792538118404271669883062588316459545709597189749090627102397887194062008993738831080912199938529904471228318355224227458114643141577445104725904211887056573542900873280882073839215517845794089055801604}
30965 5387742539359020181757930028895237758072281448672404397652914522408779957854477704251947: {1207011,1702195,2042634,2876583,2939395,3033002,3527274,3557755,3681979,4269306,4332860,4424563,4484995,5199432,5259970,5381994,5785219,5849361,6189800,6311964,6963525,7427760,7487722,7825543,7922944,8229242,8356230,8913312,8939059,9535431,10027476,10088931,10169719,10349155,10456706,11262524,11756060,12197995,12418986,13737595,14107272,14528170,14620903,14637594,14726012,15279914,15583795,15870681,16089320,16475563,16485114,16506355,16714083,16813795,17433804,17695964,18100485,18365511,18700554,19059656,19231387,19307184,19443019,19807626,19919564,20176554,20192995,20729203,21037160,21442113,21720582,22039543,23107399,23260795,23666805,23694931,24180355,24231594,24797443,25244592,25526325,25858316,27228080,27343004,27473410,27548995,27881722,27912954,28185223,28400166,28456520,28503163,28779411,29016426,29947016,30301555,30416583,30631590,31109251,31838289,32013585,32133787,32673696,32968092,33010570,33058794,33307651,33690393,34147824,34277683,34954183,35173459,35796955,36361866,36757908,37216844,37488531,37902725,38335363,38416302,38523571,39265003,39453355,39612684,39657171,40099114,40366555,40507363,41235274,41457067,41583595,41906522,42229005,42956346,43326043,43407955,44490026,45044272,45302491,45483270,45905410,46272776,46441219,46689667,47344026,47659195,48236122,48439866,48515488,48569155,49900314,50025129,50272625,50412343,50674806,50737483,50873299,51163783,51829051,52056873,52059783,52089546,52765244,53166920,53702059,53952199,54146750,54443203,54579924,54813962,55086492,55669186,56099779,56138155,56366794,57144667,57191034,57787387,58282986,58485351,58554955,58576243,58909831,59472764,59553725,59665411,59812785,59866460,59969882,59978467,60327150,60341659,61269043,61270795,61707345,62695687,62751783,63120764,63156091,63409034,63557180,63800304,64284595,64348131,64348960,64633063,64976100,65789995,65821168,66650419,66790666,67004391,67082683,67365786,67387027,67595155,68065383,68194039,68550922,68629459,69307840,70265946,70350451,70600555,70971656,71201155,71464470,71608771,71643643,71744204,71775342,71839752,72392580,72801667,72826316,73057591,73461125,73463554,73524954,74048814,74263171,74279737,74413191,74801395,74940771,75378920,76228768,76268616,76665754,76725319,77048931,77074570,77141514,77218752,77296569,77352500,77575431,77811266,77971320,78305660,78410085,78947994,79379623,79843113,80124571,80195827,80819721,81114186,81420163,82553410,83121626,83169408,83637424,83811034,84672355,84720666,84770983,84801285,85076750,85441386,85572007,85636154,85671260,85689002,85757364,85773499,85802193,86202370,86462395,86682931,86750107,86760595,86780419,86871096,87252284,87387259,87403394,87717735,88153350,88974284,89570887,89761674,89813083,90038155,90172520,90454704,92019725,92337043,92489484,92823000,92885793,93013555,93472819,93565584,93905395,93966792,94030240,94092102,94188103,94928194,95051325,95425291,95478823,95662387,95889787,96477331,97149799,97172395,97580924,97729983,98062555,98413819,98477191,98510762,98820403,98952355,99011200,99064092,99675079,99741283,99867979,...,46719690523689524774280135910040536656053994722116875308301101639290879289074146560751109059032400506377023965517690074251402100093657302478628737075377297426618152360989916638568893526352861228754175841477942783347666722276320838426420692461592187959348574511190214019903538273961199978402872939801516350162295772031848092909660632407632796352964692781021144613531237377533768285639477287366972391285584368707748964315282308587890152924408098698163704100316385865838147699844126341987870643841806659239507750979684988383724315088807375787571163658737071046739159531657763698530659313669973600597518600413404768772647486519315995063034853517740059810735288672827466043380314581002868065308422083306316830311171227264485531481935637884182705945384591689995624964509420301704902639949583942826312451815157376388044369613462898410293609828554111486756624690483516120570955071410708521845531841592478863202742733174886645037204587755004670921066161864212322388533137159703612930536532744075793887570527438212026303719467782196883393264709043179569133982141876730071234637370610712669956751188291098695494497050907917299051893425971464795016438085685394208759383058607567585806278443121293207987778060008786948944370641272976336871686650199455908921220497232927402327383881732657718973197566508964968387634753670794870059789248049745643459289862845112535372799275130466737529293612739590647432108858364398352918061631964053189638960038977996305967657386582483660080029598066593587440343643556240995436971606422469036903760939414570113654069978979195897939568956187058533110383353385588227982495640007404303129708794353436033506171581371024940775456031573298465026714398342121395387251792920899693615928852118308258737788450129150217123162577411371941198286015927287990633113039679963056233036798042127209381386071531557235102480734317898601749810317851838077388222244276205701274866677247573259116697295066425103787080681224238356861255944630976607910526819236844817005790837480811860359797886366495805814336316439306168620156484234117550148513493830043865027377102987436673668769787387748780107243949799006575515490979874410552601299123777544096421458695437942053867820858801618156168722773394316058470093936288148010033138855243146967917020527734169012891936698523753893831164389906527873765464835934912246482609557839473592465125313232373238229323647097280234742887019340892246842757412218336209306616832381369010198204510174170879878734027453233249664495751692852108620116756436250022432150703235517899170731998572416929999294509825778476391590640276075079060279337436875976770067797731875316157003739386596507926334801791937649825173865241625753935525070413322778528665558693485872700457246018749084945202241292399865776572263920670865953379280135135413343802653835180236680351971466598580981696782547018442814990964460053275844519026608211570501581247806545904138197232720190515834609892531800729770853838925375125266364264471568230971557768624520104164746081217202164232863706801747100613928778450143817945303705246532051949570290366336762889029975767216931132017876347561708917221838383736642640665675449114275278434222425195973702468868746955857867235752647610844284038455552499637549246178178191865777923339987564767245510248314114490815382490140142885907687285976039394788836551983086679518192437717345633223438155209145272869866597134464934703545431462800912570007120746904824443192260237749106854443186850370731819938606357030845999275756799615186538141897897623370340698189832191331303597203931593386092382391815452275854011316029560893639513892721012150603087142879810014410271694066548271656301786265167906649979173327756612614860454194534038011822755564840851348913650990857483519785459205462020590238565312316995710356994606493479507825358360070108575258706669061813903113826115185442857820459220570415048209746000739377876141111602464892866095900328609109985034458351972796023694772533862733935095269441264459765042872022088518627067937171854502237393744420417975327600362752587209324422158118430012379461011678608469468382290579155945696896282111462355807511202132588363188582497867904783973122771580123745765004273584912110340382322846352135884949582052709348510302090580533869623688024987706487186616008250112376662333839963601584008088267680036771717549897226496849619964022311878477673679254356190303898263219589186730746827608522844849840778888845402522052472030022596842231497693144845619369015930962556257828720538852194737939808215081243220801720797071227212037975949049296644836037122882228389718705248296048259670331833344819444862770302214300150111972935517257977847594082123049804256773162965351496175646332428540093033583985698961100607963723215386659997010235867169143438200950500227929796340044188807177606407504824593882474689318564395784623635940653596830791093013490608246621368299907794856706842477532836341187171964712366167657088856317830584860314351309921323110758823276768691133583702406}
30966 5404211881765255708666319641507582571236402267998606685965192839336902343394532718430304: {526133,897173,1423286,1609348,2255189,2723512,2994293,3063951,3276566,3301913,3486389,3835444,3916553,4223573,4386806,4549503,4591733,4703032,4837013,5020889,5126246,5290911,5416075,5692408,5939189,6403959,6499290,6932576,6972326,7175992,7343753,7737250,7799148,7889955,8072991,8074889,8257493,8415952,8500853,9284700,9467946,9715733,9903680,11141640,11231583,11411189,11755286,11884416,11894453,12343863,12497813,12534345,12713908,13369968,13451908,13702133,13942613,14078155,14695075,15041214,15203033,15417926,15685059,15783398,16558648,16677199,16893786,17116889,17534453,17634090,17973206,18189833,18407515,18628479,18784793,18809696,19497689,19516792,19616393,19794389,19972313,20111650,20387189,21160908,21792255,21956391,21980152,22089018,22119955,22285444,22455689,22919871,23221493,23245072,23824570,24044693,24133980,24487348,24727671,24899455,24924953,24934072,24983573,25686389,25742912,25803413,25978889,26150706,26203639,26296450,26388053,26410168,26543946,26902072,27263513,27613193,28050831,28137173,28484198,28589484,28602389,28960776,29299253,29473289,29711439,29879346,30264831,30515993,31094153,31382933,31555740,32308792,32322895,32478473,32580873,32651189,32938889,33659456,33685973,34035100,34178755,34660889,35570650,36090389,36347391,37116533,37217272,37433770,37448198,37866888,38083289,38372548,38480693,38650889,38688568,38787474,38874086,39413738,40461833,40488679,40555444,40842120,41014506,41210115,41364233,41822583,41869431,42208373,42451052,42489353,42600249,42684780,43524639,43564928,43723289,43957456,44003189,44078392,44841689,44920524,45399689,45530432,45947385,45968966,46068233,46402073,46513289,46521055,47512793,47734553,48482488,48654463,48730889,48896693,49010544,49452138,49515855,49588191,49669493,49846598,49984708,50385689,51221736,51375113,52142873,52816912,52876228,54542799,54926453,55136862,55415513,55825266,56120789,56305340,56554133,57200966,57275128,57581273,57593522,57624453,57840970,58390133,58982153,59419026,60148671,60270473,60591833,60644360,61393973,61852911,62034389,62100199,62859783,63125368,63471113,63630389,64266773,64425689,64434519,64586488,65113493,65182886,65528198,65852693,65956555,66169013,66458650,66533752,66700172,66735039,66958553,67168793,67566408,68224905,68375189,68858115,69002933,69409164,69413044,69452728,70307033,70463189,71016039,71242889,72354183,72641813,72659799,72746486,72773232,73182746,73210073,73448656,74189333,74340955,74833075,74850471,74960393,75217013,75268313,75729653,75883289,75985673,76012209,76036853,76254712,77183126,77710648,77980468,78134319,78900955,78940889,79147866,79446475,79750380,79953689,80307413,80436200,80862473,81220125,81315893,81617813,81869886,82220943,82276460,82338322,82371353,82629738,83123093,83503779,83669044,83873033,84298598,84371993,84471689,84550191,84635846,85067072,85118933,85786551,85797508,85963289,86634800,86854793,87328646,87424479,87940889,88039433,88065439,88531673,88714570,88924889,89006966,89209146,89268533,89311663,89339188,89562773,89680255,89799690,89821048,89954823,90490725,90753844,91032895,91350566,91614389,91760393,93687928,94020326,94223650,94681146,95098613,95113551,95285960,95335770,95700456,95786336,96016598,96523440,96538133,96690625,96825173,97064153,97464150,97493813,97541513,97676198,97882075,98033272,98731752,99217588,99395573,99921028,...,70079535785534287161420203865060804984080992083175312962451652458936318933611219841126663588548600759565535948276535111377103150140485953717943105613065946139927228541484874957853340289529291843131263762216914175021500083414481257639631038692388281939022861766785321029855307410941799967604309409702274525243443658047772139364490948611449194529447039171531716920296856066300652428459215931050458586928376553061623446472923462881835229386612148047245556150474578798757221549766189512981805965762709988859261626469527482575586472633211063681356745488105606570108739297486645547795988970504960400896277900620107153158971229778973992594552280276610089716102933009241199065070471871504302097962633124959475245466756840896728297222903456826274058918076887534993437446764130452557353959924375914239468677722736064582066554420194347615440414742831167230134937035725274180856432607116062782768297762388718294804114099762329967555806881632507006381599242796318483582799705739555419395804799116113690831355791157318039455579201673295325089897063564769353700973212815095106851956055916069004935126782436648043241745576361875948577840138957197192524657128528091313139074587911351378709417664681939811981667090013180423416555961909464505307529975299183863381830745849391103491075822598986578459796349763447452581452130506192305089683872074618465188934794267668803059198912695700106293940419109385971148163287546597529377092447946079784458440058466994458951486079873725490120044397099890381160515465334361493155457409633703555355641409121855170481104968468793846909353434280587799665575030078382341973743460011106454694563191530154050259257372056537411163184047359947697540071597513182093080877689381349540423893278177462388106682675193725325684743866117057911797429023890931985949669559519944584349555197063190814072079107297335852653721101476847902624715476777757116082333366414308551912300015871359888675045942599637655680621021836357535291883916946464911865790228855267225508686256221217790539696829549743708721504474658959252930234726351176325222770240745065797541065654481155010503154681081623170160865924698509863273236469811615828901948685666316144632188043156913080801731288202427234253084160091474087705140904432222015049708282864720451875530791601253519337905047785630840746746584859791810648197253902368369723914336759210388697687969848559857343985470645920352114330529011338370264136118327504313959925248572053515297306765261256319818101041179849874496743627539278162930175134654375033648226054853276848756097997858625394998941764738667714587385960414112618590419006155313965155101696597812974235505609079894761889502202687906474737760797862438630903287605619984167792998338040228809050685869028123627417803361938599798664858395881006298930068920202703120015703980752770355020527957199897871472545173820527664222486446690079913766778539912317355752371871709818856207295849080285773751914838797701094656280758388062687899546396707352346457336652936780156247119121825803246349295560202620650920893167675215726917955557869798077924355435549505144333544963650825396698026814521342563375832757575604963960998513173671412917651333637793960553703303120433786800853628971416266426057683328749456323869267267287798666885009981347150868265372471171736223073735210214328861530928964059092183254827974630019277288656576018449835157232813717909304799895701697402055318147194201368855010681120357236664788390356623660281664780275556097729907909535546268998913635199422779807212846846435055511047284748286996955395805897390079138573587723178413781016974044341340459270839081518225904630714319715021615407541099822407484452679397751859974968759991634918922290681291801057017734133347261277023370476486286225279678188808193030885357847968475493565535491909740219261738037540105162862888060003592720854670739172778164286730688830855622572314619001109066814211667403697339299143850492913664977551687527959194035542158800794100902642904161896689647564308033132777940601905757781753356090616630626962991400544128880813986633237177645018569191517517912704202573435868733918545344423167193533711266803198882544782873746801857175959684157370185618647506410377368165510573484269528203827424373079064022765453135870800804435532037481559730779924012375168564993500759945402376012132401520055157576324845839745274429946033467817716510518881534285455847394829383780096120241412784267274761168333268103783078708045033895263347246539717268429053523896443834386743080808278292106909712322621864831202581195606840818056963923573944967254055684323342584578057872444072389505497750017229167294155453321450225167959403275886966771391123184574706385159744448027244263469498642810139550375978548441650911945584823079989995515353800753715157301425750341894694510066283210766409611257236890823712033977846593676935453910980395246186639520235912369932052449861692285060263716299254511780757947068549251485633284476745877290471526964881984666138234915153036700375553609}
30967 5420731278805113977218081802089768845136769414738607355592953335455578468825201314709378: {2011685,2134929,2383073,2414022,3404390,4085268,4115153,4794305,4914849,4980857,5229029,5753166,5878790,6066004,6278993,6465833,6580209,6837077,7054548,7115510,7363958,7689369,8538612,8665720,8849126,8969990,9248369,9748935,9990713,10398864,10458489,10519940,10763988,11570438,11605875,11698722,12379600,12623928,13927050,14201919,14488817,14855520,14975444,15651086,15845888,15892385,16458484,16712460,16814885,17077193,17279249,17632929,17826624,17878118,19070862,19232633,20054952,20177862,20339438,20698310,20913412,21730433,21817313,22525048,22561821,23108897,23126889,23512120,23539313,23675097,24395990,24498149,24837972,25340679,26451135,26959809,27475190,27856805,28214544,28270193,29056340,29241806,29275188,29306069,29452024,30167475,30559828,30609185,31167590,31741362,32178640,32565113,32926553,32951126,32970228,33012710,33133527,33309809,33428166,33627590,33852497,34867608,34956449,35391928,35736855,36200970,36731022,37401108,38119312,38462774,38568593,38614368,38886038,39226059,39311513,39444675,39615252,39815919,39839128,40353108,40385990,40509989,41180369,41309489,41458406,41459753,42074320,42292517,42422177,42543875,42726297,42884226,43068113,43441164,44079086,44819019,45305429,46214798,46334369,46521590,47119193,47333610,47389862,47965685,48360710,48463188,49594886,50115737,50489184,50694305,50876597,51052650,51716632,51832409,52182569,53063815,53355975,54456160,54686008,54885077,54946820,55097990,55234697,55763444,55825908,56150655,56172297,56370446,56513177,56800332,56858393,56913040,57006326,57098969,57148373,57558822,58032852,58181211,58217033,58311129,59120607,59894032,59982353,60466289,60603110,60771137,60833166,61263180,61521759,62218502,62480885,62699753,63676578,63867569,64027170,64114913,64267574,65309849,65347392,65936184,66021140,66095285,66117588,66615302,66722873,67327073,67380786,67391393,67996817,68295648,68555366,68953449,69226469,69671333,69908366,70346918,70355009,70381675,70697969,71593910,72408869,72723732,73062329,73515816,74178207,74433688,74769897,74977062,75805450,76384529,76670726,76703513,76832604,77047142,77401313,78530006,78593417,78768677,78906710,79225368,79314342,79384769,80198228,80733110,81014726,81066593,81366569,81976937,82470548,82705293,82914134,83167190,83375215,83737899,83813044,84458010,84769673,85779113,85801449,85912692,86390283,86652086,86755733,86761455,86766305,86815910,88472753,88980052,89128539,89998433,90016457,90088544,90177473,90604982,90675377,90966540,91810820,92105993,92343029,92545552,92732873,92882438,93379334,94194209,94633217,94688052,95318390,96223829,96472244,96841289,96879732,97030976,97138310,97156097,97450469,97475585,97668113,97774329,98292297,98840777,99681617,99687975,99747749,99800628,...,93439381047379049548560271820081073312107989444233750616602203278581758578148293121502218118064801012754047931035380148502804200187314604957257474150754594853236304721979833277137787052705722457508351682955885566695333444552641676852841384923184375918697149022380428039807076547922399956805745879603032700324591544063696185819321264815265592705929385562042289227062474755067536571278954574733944782571168737415497928630564617175780305848816197396327408200632771731676295399688252683975741287683613318479015501959369976767448630177614751575142327317474142093478319063315527397061318627339947201195037200826809537545294973038631990126069707035480119621470577345654932086760629162005736130616844166612633660622342454528971062963871275768365411890769183379991249929018840603409805279899167885652624903630314752776088739226925796820587219657108222973513249380967032241141910142821417043691063683184957726405485466349773290074409175510009341842132323728424644777066274319407225861073065488151587775141054876424052607438935564393766786529418086359138267964283753460142469274741221425339913502376582197390988994101815834598103786851942929590032876171370788417518766117215135171612556886242586415975556120017573897888741282545952673743373300398911817842440994465854804654767763465315437946395133017929936775269507341589740119578496099491286918579725690225070745598550260933475058587225479181294864217716728796705836123263928106379277920077955992611935314773164967320160059196133187174880687287112481990873943212844938073807521878829140227308139957958391795879137912374117066220766706771176455964991280014808606259417588706872067012343162742049881550912063146596930053428796684242790774503585841799387231857704236616517475576900258300434246325154822743882396572031854575981266226079359926112466073596084254418762772143063114470204961468635797203499620635703676154776444488552411402549733354495146518233394590132850207574161362448476713722511889261953215821053638473689634011581674961623720719595772732991611628672632878612337240312968468235100297026987660087730054754205974873347337539574775497560214487899598013151030981959748821105202598247555088192842917390875884107735641717603236312337445546788632116940187872576296020066277710486293935834041055468338025783873397047507787662328779813055747530929671869824492965219115678947184930250626464746476458647294194560469485774038681784493685514824436672418613233664762738020396409020348341759757468054906466499328991503385704217240233512872500044864301406471035798341463997144833859998589019651556952783181280552150158120558674873751953540135595463750632314007478773193015852669603583875299650347730483251507871050140826645557057331117386971745400914492037498169890404482584799731553144527841341731906758560270270826687605307670360473360703942933197161963393565094036885629981928920106551689038053216423141003162495613091808276394465440381031669219785063601459541707677850750250532728528943136461943115537249040208329492162434404328465727413603494201227857556900287635890607410493064103899140580732673525778059951534433862264035752695123417834443676767473285281331350898228550556868444850391947404937737493911715734471505295221688568076911104999275098492356356383731555846679975129534491020496628228981630764980280285771815374571952078789577673103966173359036384875434691266446876310418290545739733194268929869407090862925601825140014241493809648886384520475498213708886373700741463639877212714061691998551513599230373076283795795246740681396379664382662607194407863186772184764783630904551708022632059121787279027785442024301206174285759620028820543388133096543312603572530335813299958346655513225229720908389068076023645511129681702697827301981714967039570918410924041180477130624633991420713989212986959015650716720140217150517413338123627806227652230370885715640918441140830096419492001478755752282223204929785732191800657218219970068916703945592047389545067725467870190538882528919530085744044177037254135874343709004474787488840835950655200725505174418648844316236860024758922023357216938936764581158311891393792564222924711615022404265176726377164995735809567946245543160247491530008547169824220680764645692704271769899164105418697020604181161067739247376049975412974373232016500224753324667679927203168016176535360073543435099794452993699239928044623756955347358508712380607796526439178373461493655217045689699681557777690805044104944060045193684462995386289691238738031861925112515657441077704389475879616430162486441603441594142454424075951898098593289672074245764456779437410496592096519340663666689638889725540604428600300223945871034515955695188164246099608513546325930702992351292664857080186067167971397922201215927446430773319994020471734338286876401901000455859592680088377614355212815009649187764949378637128791569247271881307193661582186026981216493242736599815589713413684955065672682374343929424732335314177712635661169720628702619842646221517646553537382267167404812}
30968 5437300881733312426537643812149731636465918044499941194436280209798917166627523257771869: {588031,959047,1052266,1144447,1794346,2846572,2994487,3218696,3363631,3621033,3916807,4285231,4510378,4653367,5106585,5447024,5988586,6127902,6489727,6553132,6603826,6972778,7405207,7582505,7670888,7833106,8318887,8447146,8629749,8773612,8818185,9099006,9183466,9406064,9412927,9674026,10041778,10140847,10252492,10322647,10581822,10673265,10832150,11045937,11384816,11878378,12498631,12807918,12998580,13149925,13273689,13402231,13454985,13865152,13944652,14351984,14687506,15204031,15474500,15598296,15779910,16145982,16149778,16461007,16514986,16831904,17001706,17355657,17535607,17548083,18250567,18569400,18719305,18935892,19431466,19709417,19807360,20032927,20573105,20890575,21453631,21985207,22283280,22463166,22822378,22869727,23476629,23510572,23752447,23768832,23788906,24687726,24985231,24995626,25068690,25427816,25770521,25863631,26141765,26389807,26739936,26817177,26903816,27404266,27885226,28156310,28606293,29390150,30082428,30228631,30266793,30406066,30509157,30575887,30835852,30967937,31047465,31370118,31442767,31566796,32480647,33117296,33343567,33354398,33787572,34233778,34859237,35068906,35268180,35946412,36320425,36379666,36593985,36815030,37256958,37569586,37619392,38199785,38483287,38995378,39033584,39232786,39333607,39588778,39944626,40223300,40774378,40859647,41212785,41367031,42321816,43584510,43862709,43912782,43960304,44178036,44239910,44570888,44911378,45068047,45252053,45839742,46071367,46405231,46442986,46490144,46751385,47571487,47612043,47649140,47850257,48089386,48267960,48568327,48974696,49426689,49455342,49519065,49728031,49798910,49849906,49868144,49967146,50142249,50441385,51049087,51372778,51378631,51485824,51606826,51872407,51957778,52201231,52301412,52407278,52529767,52592900,52776106,52820336,53087892,53349847,53804144,54301455,54331567,54527026,55096533,55226386,56101662,56274346,56612167,56968396,57178968,57204778,57500729,57694161,57921552,58329057,58598506,58946578,59422878,59758692,60328231,60529662,60578985,61031986,61451647,62187609,62188306,62251927,62731231,62765866,63111480,64324231,64326339,64617584,64645790,64956946,65129477,65161746,65302378,65435047,65877778,66118629,66226327,67015807,67173487,67318912,67371946,67803487,67960807,68070200,68275231,68357510,68683525,69321778,69322197,69704305,69782385,71000415,71084793,71141300,71714887,72180778,72181231,72541065,72646927,72694782,74194567,74233066,74392329,74434544,74867540,74896396,75273631,75581287,75733776,76042231,76166578,76578975,76745096,76961386,77301778,77377136,77574031,77574948,77748172,78032167,78827476,80313127,80923666,80977358,81069847,81110888,81684240,81824767,82029012,82420230,82526425,82646985,82728466,83179087,83645166,83738862,83928967,84416746,84555669,84902104,84978706,85125031,85200498,85369560,85509489,85572367,86338233,86910487,87049278,87129856,87446578,87914912,88006378,88095031,88156784,89274967,89569231,89683378,89841048,90596887,90799378,90904665,91060864,91249749,91894770,91937932,92136466,92339177,92804146,93026578,93042110,93327753,95025586,95469106,95514867,96040755,96401361,96401527,96964976,97119007,97308926,97461778,97548631,97793386,97834687,98021088,98691127,98904276,99031710,99176382,99260647,99338986,99693196,99922953,99969416,...,140159071571068574322840407730121609968161984166350625924903304917872637867222439682253327177097201519131071896553070222754206300280971907435886211226131892279854457082969749915706680579058583686262527524433828350043000166828962515279262077384776563878045723533570642059710614821883599935208618819404549050486887316095544278728981897222898389058894078343063433840593712132601304856918431862100917173856753106123246892945846925763670458773224296094491112300949157597514443099532379025963611931525419977718523252939054965151172945266422127362713490976211213140217478594973291095591977941009920801792555801240214306317942459557947985189104560553220179432205866018482398130140943743008604195925266249918950490933513681793456594445806913652548117836153775069986874893528260905114707919848751828478937355445472129164133108840388695230880829485662334460269874071450548361712865214232125565536595524777436589608228199524659935111613763265014012763198485592636967165599411479110838791609598232227381662711582314636078911158403346590650179794127129538707401946425630190213703912111832138009870253564873296086483491152723751897155680277914394385049314257056182626278149175822702757418835329363879623963334180026360846833111923818929010615059950598367726763661491698782206982151645197973156919592699526894905162904261012384610179367744149236930377869588535337606118397825391400212587880838218771942296326575093195058754184895892159568916880116933988917902972159747450980240088794199780762321030930668722986310914819267407110711282818243710340962209936937587693818706868561175599331150060156764683947486920022212909389126383060308100518514744113074822326368094719895395080143195026364186161755378762699080847786556354924776213365350387450651369487732234115823594858047781863971899339119039889168699110394126381628144158214594671705307442202953695805249430953555514232164666732828617103824600031742719777350091885199275311361242043672715070583767833892929823731580457710534451017372512442435581079393659099487417443008949317918505860469452702352650445540481490131595082131308962310021006309362163246340321731849397019726546472939623231657803897371332632289264376086313826161603462576404854468506168320182948175410281808864444030099416565729440903751061583202507038675810095571261681493493169719583621296394507804736739447828673518420777395375939697119714687970941291840704228661058022676740528272236655008627919850497144107030594613530522512639636202082359699748993487255078556325860350269308750067296452109706553697512195995717250789997883529477335429174771920828225237180838012310627930310203393195625948471011218159789523779004405375812949475521595724877261806575211239968335585996676080457618101371738056247254835606723877199597329716791762012597860137840405406240031407961505540710041055914399795742945090347641055328444972893380159827533557079824634711504743743419637712414591698160571547503829677595402189312561516776125375799092793414704692914673305873560312494238243651606492698591120405241301841786335350431453835911115739596155848710871099010288667089927301650793396053629042685126751665515151209927921997026347342825835302667275587921107406606240867573601707257942832532852115366657498912647738534534575597333770019962694301736530744942343472446147470420428657723061857928118184366509655949260038554577313152036899670314465627435818609599791403394804110636294388402737710021362240714473329576780713247320563329560551112195459815819071092537997827270398845559614425693692870111022094569496573993910791611794780158277147175446356827562033948088682680918541678163036451809261428639430043230815082199644814968905358795503719949937519983269837844581362583602114035468266694522554046740952972572450559356377616386061770715695936950987131070983819480438523476075080210325725776120007185441709341478345556328573461377661711245144629238002218133628423334807394678598287700985827329955103375055918388071084317601588201805285808323793379295128616066265555881203811515563506712181233261253925982801088257761627973266474355290037138383035035825408405146871737467837090688846334387067422533606397765089565747493603714351919368314740371237295012820754736331021146968539056407654848746158128045530906271741601608871064074963119461559848024750337129987001519890804752024264803040110315152649691679490548859892066935635433021037763068570911694789658767560192240482825568534549522336666536207566157416090067790526694493079434536858107047792887668773486161616556584213819424645243729662405162391213681636113927847147889934508111368646685169156115744888144779010995500034458334588310906642900450335918806551773933542782246369149412770319488896054488526938997285620279100751957096883301823891169646159979991030707601507430314602851500683789389020132566421532819222514473781647424067955693187353870907821960790492373279040471824739864104899723384570120527432598509023561515894137098502971266568953491754580943053929763969332276469830306073400751107218}
30969 5453920842258999823267351849607249962265965030791905626715676381891085253917265802475602: {1578399,2691519,2816359,3558215,4023370,4269858,4766146,4828044,5785967,6712027,6765567,6808780,7641439,8170536,8191415,8230306,8982879,9191853,9588610,9829698,9905739,9961714,10458058,10459167,10967015,11166091,11506332,11749659,11757580,12132008,12557986,12670719,12815615,12931666,13160418,13648509,13674154,13775199,14109096,14231020,14511039,14727916,15062667,15378738,15872733,15980987,16248225,17077224,17331440,17430815,17698252,17817567,17939980,18496738,19211877,19343125,19497870,19981426,20797728,20916978,21039880,21527976,21544967,22031259,22249339,23140876,23211750,23397444,23540839,23669865,24218973,24224667,24759200,24772479,25247856,25502559,25996151,27854100,28403838,28977634,29147199,29388215,29711040,29950888,30220751,30985679,31302172,31691776,31784770,32916968,33424920,33629770,33694749,34154386,34233567,34558498,35265858,35653248,35683359,35756236,36311627,37031589,37273367,37493439,37603035,37658567,38141724,38465266,38544815,38913199,38999527,39458495,40109904,40355724,40678876,41106399,41312167,41396620,41826824,41827839,42107159,42234465,42852859,43460866,43556159,43634626,44085225,44933015,45050096,45123642,45609099,46217794,46253778,46337371,47024240,47055177,47078626,47350194,48791980,48996298,49675944,50031597,50279125,50495951,50681358,50898679,51350667,52603359,52837391,52902270,52971167,53919618,54569499,54950380,55222545,55686319,55713610,55885437,56354379,56429088,56540386,56862079,58112680,58483612,58493067,58550376,58612138,58849179,58904048,59241719,59383167,59507687,59561425,59916939,60334950,61119656,61161567,61218370,62335180,63482724,63559271,63871711,64119067,64357280,65130226,65376765,65741125,65853106,65869173,65902252,65940456,66025420,66267054,66359865,66619618,66856332,67151959,67255180,67367067,67704994,68759613,69664479,69675847,69735216,69912898,70783856,70972027,71210495,71473710,72134079,72401940,73462044,74183013,74289341,74672111,74698365,74774859,74802216,74950719,75573691,75894779,76238624,76894679,76925548,77059167,77137186,77184367,77228736,77410239,77772076,77936667,78023999,78452118,78610917,78623026,78889350,79164159,79230504,79568359,79626431,79631838,79678256,80706216,80771980,81019978,81790539,82360738,82618978,82839579,82916812,82919506,83350159,84148640,84152493,84411519,84585034,84782027,84844354,85087750,85452594,85768452,85807167,86136226,86882328,87473239,87897759,88158172,88419867,88904779,88926625,89134317,89638038,90183319,90327431,90610858,90794493,90808751,91474279,91547979,92429596,92533399,92668738,92738887,93043180,93282459,93584425,93620495,93642239,94148799,94238386,94667220,94779724,94822607,95931370,96721420,96847567,96926376,96968685,97079159,97185215,97435419,97742619,97953567,98534345,98816667,99189772,...,210238607356602861484260611595182414952242976249525938887354957376808956800833659523379990765645802278696607844829605334131309450421457861153829316839197838419781685624454624873560020868587875529393791286650742525064500250243443772918893116077164845817068585300355963089565922232825399902812928229106823575730330974143316418093472845834347583588341117514595150760890568198901957285377647793151375760785129659184870339418770388645505688159836444141736668451423736396271664649298568538945417897288129966577784879408582447726759417899633191044070236464316819710326217892459936643387966911514881202688833701860321459476913689336921977783656840829830269148308799027723597195211415614512906293887899374878425736400270522690184891668710370478822176754230662604980312340292391357672061879773127742718406033168208193746199663260583042846321244228493501690404811107175822542569297821348188348304893287166154884412342299286989902667420644897521019144797728388955450748399117218666258187414397348341072494067373471954118366737605019885975269691190694308061102919638445285320555868167748207014805380347309944129725236729085627845733520416871591577573971385584273939417223763734054136128252994045819435945001270039541270249667885728393515922589925897551590145492237548173310473227467796959735379389049290342357744356391518576915269051616223855395566804382803006409177596738087100318881821257328157913444489862639792588131277343838239353375320175400983376854458239621176470360133191299671143481546396003084479466372228901110666066924227365565511443314905406381540728060302841763398996725090235147025921230380033319364083689574590462150777772116169612233489552142079843092620214792539546279242633068144048621271679834532387164320048025581175977054231598351173735392287071672795957849008678559833753048665591189572442216237321892007557961163304430543707874146430333271348247000099242925655736900047614079666025137827798912967041863065509072605875651750839394735597370686565801676526058768663653371619090488649231126164513423976877758790704179053528975668310722235197392623196963443465031509464043244869510482597774095529589819709409434847486705846056998948433896564129470739242405193864607281702759252480274422263115422713296666045149124848594161355626592374803760558013715143356892522240239754579375431944591761707105109171743010277631166093063909545679572031956411937761056342991587034015110792408354982512941879775745716160545891920295783768959454303123539549623490230882617834488790525403963125100944678164559830546268293993575876184996825294216003143762157881242337855771257018465941895465305089793438922706516827239684285668506608063719424213282393587315892709862816859952503378995014120686427152057607084370882253410085815799395994575187643018896790206760608109360047111942258311065061583871599693614417635521461582992667459340070239741300335619736952067257115615129456568621887547240857321255744516393103283968842275164188063698639190122057039372009958810340468741357365477409739047886680607861952762679503025647180753866673609394233773066306648515433000634890952476190094080443564027690127498272726814891882995539521014238752954000913381881661109909361301360402560886914248799278173049986248368971607801801863396000655029944041452604796117413515208669221205630642986584592786892177276549764483923890057831865969728055349505471698441153727914399687105092206165954441582604106565032043361071709994365171069870980844994340826668293189723728606638806996740905598268339421638540539305166533141854244860990866187417692170237415720763169535241343050922133024021377812517244554677713892142959145064846222623299467222453358038193255579924906279974904756766872043875403171053202400041783831070111429458858675839034566424579092656073543905426480696606475729220657785214112620315488588664180010778162564012217518334492860192066492566867716943857003327200442635002211092017897431551478740994932655062583877582106626476402382302707928712485690068942692924099398333821805717273345260068271849891880888974201632386642441959899711532935055707574552553738112607720307606201755636033269501580601133800409596647634348621240405571527879052472110556855942519231132104496531720452808584611482273119237192068296359407612402413306596112444679192339772037125505694980502279836207128036397204560165472728974537519235823289838100403453149531556644602856367542184488151340288360724238352801824283504999804311349236124135101685790041739619151805287160571689331503160229242424834876320729136967865594493607743586820522454170891770721834901762167052970027753734173617332217168516493250051687501882466359964350675503878209827660900314173369553724119155479233344081732790408495928430418651127935645324952735836754469239969986546061402261145471904277251025684083530198849632299228833771710672471136101933539781030806361732941185738559918560707737109796157349585076855180791148897763535342273841205647754456899853430237631871414580894645953998414704745459110101126660827}
30970 5470591312547113700929327630152850655135629443415101618682022777622574260573363731409503: {897289,1176062,1823749,1918094,2104532,2288894,2748409,3117769,3588692,4039909,5144101,5693144,5988974,6035055,6062281,6404787,6437392,6727262,7149219,7242066,7833614,7893241,8075941,8510975,8570462,8623609,8988361,9020756,9306734,10213170,10615507,10894048,11977172,12255804,12345459,12979454,13106264,13162309,13207652,13945556,14064649,14382915,14605189,14696975,14744547,14810414,14942571,15165010,15324901,15341776,15666212,15687087,15863929,16637774,16894292,17259498,17547224,17636370,17788775,18198012,18366932,18409895,18812128,18825854,18836979,19348052,19397499,19618981,19740627,20083556,20281694,20504984,20508361,20511231,20645294,21163644,21218569,21346530,21664300,22091874,22122815,22424975,22769632,23068107,23342281,23756756,24400249,24997262,25615836,25806841,25997160,26207027,26299850,26508409,26547378,26804462,26909970,27383749,27730304,27745107,27889304,28257289,28703968,28802347,28926095,29246805,29375012,29972139,30408062,30949000,31196592,31375467,31387129,31559820,32291964,32299556,32597989,32770681,32922014,32943301,33029972,33663808,34003412,34321669,34711314,34817625,35071214,35096166,35180809,36209401,36501134,36551689,36598471,37138800,37438610,37871784,38599369,38769541,38862932,39127715,39418834,39614720,40065854,41146210,41177147,41781150,42326521,42495109,42605757,42907262,43466451,43841221,43970414,44566560,44695295,44926332,45644756,45739454,45851749,46185829,46519621,46953258,47021144,47186341,47504894,47537664,47577812,47677155,48018121,48848101,49375452,49970462,49991252,50137380,50444655,50848595,50855632,51231579,51541042,51727262,51745775,51837747,52283530,52779614,52898787,53134981,53479699,53479872,53634354,53790181,53807632,54808532,55423141,55770452,56312620,56561929,57212586,57697899,58780300,59796169,60164856,60457262,60533586,60600229,60812132,60921349,60989975,61018314,61151774,61671704,61935874,62043001,62094930,62740236,62885534,63133592,63625067,64961294,65069701,65191299,65228281,65451939,66178249,66234592,66687134,66708796,66967909,67283269,67575144,67685463,67955407,68467556,68541829,68687975,68855749,69169381,69326691,69380667,69718474,70137812,70536360,70577161,70617939,71025291,71892824,71979109,72640850,72759332,73104515,73187970,73494447,73630060,74302729,74513916,75139172,75238784,75381541,75996421,76022037,76149961,76399570,76966574,77375689,77918975,77990756,78067168,78465572,78596809,78667214,79177556,79353405,79357669,79889252,80419849,80446600,80879427,81548756,81719294,82377815,82383109,82425570,82531775,82734062,83134969,83570415,84068975,84483781,84643632,84810579,86867269,87169020,87725418,87825564,87918207,87920608,88052101,88356072,88479820,88642789,88937701,89141776,89379529,89822756,90136094,90502425,90504106,91679484,91827555,91870981,92142734,92745349,92810462,92885972,92980288,93472009,93502770,95142974,95208649,95224086,95298280,95700514,95929189,96156935,96178772,96535920,96934921,97078309,97136654,97215095,97586027,97695339,97949392,98779659,98853378,98910684,99038130,99400581,99456062,99597820,99699812,99736288,99929427,99934292,...,280318143142137148645680815460243219936323968332701251849806609835745275734444879364506654354194403038262143793106140445508412600561943814871772422452263784559708914165939499831413361158117167372525055048867656700086000333657925030558524154769553127756091447067141284119421229643767199870417237638809098100973774632191088557457963794445796778117788156686126867681187424265202609713836863724201834347713506212246493785891693851527340917546448592188982224601898315195028886199064758051927223863050839955437046505878109930302345890532844254725426981952422426280434957189946582191183955882019841603585111602480428612635884919115895970378209121106440358864411732036964796260281887486017208391850532499837900981867027363586913188891613827305096235672307550139973749787056521810229415839697503656957874710890944258328266217680777390461761658971324668920539748142901096723425730428464251131073191049554873179216456399049319870223227526530028025526396971185273934331198822958221677583219196464454763325423164629272157822316806693181300359588254259077414803892851260380427407824223664276019740507129746592172966982305447503794311360555828788770098628514112365252556298351645405514837670658727759247926668360052721693666223847637858021230119901196735453527322983397564413964303290395946313839185399053789810325808522024769220358735488298473860755739177070675212236795650782800425175761676437543884592653150186390117508369791784319137833760233867977835805944319494901960480177588399561524642061861337445972621829638534814221422565636487420681924419873875175387637413737122351198662300120313529367894973840044425818778252766120616201037029488226149644652736189439790790160286390052728372323510757525398161695573112709849552426730700774901302738975464468231647189716095563727943798678238079778337398220788252763256288316429189343410614884405907391610498861907111028464329333465657234207649200063485439554700183770398550622722484087345430141167535667785859647463160915421068902034745024884871162158787318198974834886017898635837011720938905404705300891080962980263190164262617924620042012618724326492680643463698794039453092945879246463315607794742665264578528752172627652323206925152809708937012336640365896350820563617728888060198833131458881807502123166405014077351620191142523362986986339439167242592789015609473478895657347036841554790751879394239429375941882583681408457322116045353481056544473310017255839700994288214061189227061045025279272404164719399497986974510157112651720700538617500134592904219413107395024391991434501579995767058954670858349543841656450474361676024621255860620406786391251896942022436319579047558008810751625898951043191449754523613150422479936671171993352160915236202743476112494509671213447754399194659433583524025195720275680810812480062815923011081420082111828799591485890180695282110656889945786760319655067114159649269423009487486839275424829183396321143095007659355190804378625123033552250751598185586829409385829346611747120624988476487303212985397182240810482603683572670700862907671822231479192311697421742198020577334179854603301586792107258085370253503331030302419855843994052694685651670605334551175842214813212481735147203414515885665065704230733314997825295477069069151194667540039925388603473061489884686944892294940840857315446123715856236368733019311898520077109154626304073799340628931254871637219199582806789608221272588776805475420042724481428946659153561426494641126659121102224390919631638142185075995654540797691119228851387385740222044189138993147987821583223589560316554294350892713655124067896177365361837083356326072903618522857278860086461630164399289629937810717591007439899875039966539675689162725167204228070936533389045108093481905945144901118712755232772123541431391873901974262141967638960877046952150160420651451552240014370883418682956691112657146922755323422490289258476004436267256846669614789357196575401971654659910206750111836776142168635203176403610571616647586758590257232132531111762407623031127013424362466522507851965602176515523255946532948710580074276766070071650816810293743474935674181377692668774134845067212795530179131494987207428703838736629480742474590025641509472662042293937078112815309697492316256091061812543483203217742128149926238923119696049500674259974003039781609504048529606080220630305299383358981097719784133871270866042075526137141823389579317535120384480965651137069099044673333072415132314832180135581053388986158869073716214095585775337546972323233113168427638849290487459324810324782427363272227855694295779869016222737293370338312231489776289558021991000068916669176621813285800900671837613103547867085564492738298825540638977792108977053877994571240558201503914193766603647782339292319959982061415203014860629205703001367578778040265132843065638445028947563294848135911386374707741815643921580984746558080943649479728209799446769140241054865197018047123031788274197005942533137906983509161886107859527938664552939660612146801502214436}
30971 5487312445219741830759550651979590460077401396434501580097338698084174102024080914700749: {30971,1764093,2630665,2877141,3156798,3433341,3744829,4485865,4981501,5383038,5632718,6466669,6837961,7116430,7827061,8046740,8539716,8940793,8983461,9532292,9656088,9866989,10090893,10863099,11275945,11467981,11571934,11750421,12094021,12855693,13424054,13531134,13617560,13960101,14971465,15282878,15319755,15353821,16341072,16382830,16460612,16509565,17431945,17941861,17965758,18383706,18886621,19177220,19469181,19582765,19659396,19811478,19923428,20916116,20918334,21117865,21934030,22215621,22332182,22595941,22747515,22768141,22958665,23012664,23499318,23515160,24079669,24185065,24264016,24403141,24956661,25104445,25115972,25341438,25631230,25863332,25889247,26305261,26320836,26454555,26835589,27080375,27297018,27348308,27550398,27788989,28218192,28238781,28462040,29022078,29455832,29695945,30125334,30222709,30422541,30757476,30967941,31745466,31961974,32019795,32036041,32496450,33137811,34154448,34284349,34631053,34662880,34861630,35396504,35635134,35715433,35879960,36313981,36718765,36990349,36993476,37495893,38323321,38423754,38686250,38995740,39449775,39821067,39962852,40206693,40364955,40374445,41143501,41287465,41595456,41658469,41833956,42079760,42504265,42913741,43055952,43089934,43558981,44062518,44424589,44498678,45011101,45612093,46281752,46423500,46794888,46864681,47081678,47339730,47587621,48437946,48449334,48578665,48680413,49383021,49518400,49544958,50495712,51005118,51173749,51992302,52066971,52606821,52644249,52974601,53196781,53962741,54020101,54628489,54751701,55241893,55708200,56088973,56157915,56481349,56807676,57055945,57955268,58294398,58776430,59128251,59203069,59245561,59422080,59472265,59677033,59901776,60098781,60441502,60557641,60607789,61719315,61971358,62410501,62489065,62604344,62671725,62906221,63168373,63383552,63563389,63569540,64360893,65349673,65833936,65955621,66211333,66663421,66849840,67259540,67389498,67942669,68308772,68467134,68510665,68609181,68828581,69116996,69713065,70390775,70429887,70531716,71257341,71306496,71366718,71512472,71772793,72623254,73475375,74063178,74277613,74546734,74676949,74955693,74986878,75206070,75317134,75899701,76015165,76283448,76899661,76930532,77089630,77203369,77311563,77313373,77590893,77826398,77999054,78314653,78425295,78753301,78916990,79071301,79169421,79631593,80219808,80451531,80711448,81357752,82212798,82624334,82793240,83385995,83653648,83655678,84214318,84468930,85117909,85584445,85705718,85818879,86797381,86921732,87112318,87203293,87269252,87672265,88170450,88806421,89830549,89866030,90100192,90247284,90333289,90526921,90685893,90800379,90949165,91218198,91483909,91527471,91727661,92037575,92116093,92435588,92507556,92674742,92851621,92903811,93142395,93923965,94048480,94110354,94157252,94328301,94688521,94700388,94743421,95497501,96496093,96556909,97441941,97488445,97583960,97992596,98081965,98496373,98971945,99351888,99694693,99861565,99887461,99926389,...,420477214713205722968521223190364829904485952499051877774709914753617913601667319046759981531291604557393215689659210668262618900842915722307658633678395676839563371248909249747120041737175751058787582573301485050129000500486887545837786232154329691634137170600711926179131844465650799805625856458213647151460661948286632836186945691668695167176682235029190301521781136397803914570755295586302751521570259318369740678837540777291011376319672888283473336902847472792543329298597137077890835794576259933155569758817164895453518835799266382088140472928633639420652435784919873286775933823029762405377667403720642918953827378673843955567313681659660538296617598055447194390422831229025812587775798749756851472800541045380369783337420740957644353508461325209960624680584782715344123759546255485436812066336416387492399326521166085692642488456987003380809622214351645085138595642696376696609786574332309768824684598573979805334841289795042038289595456777910901496798234437332516374828794696682144988134746943908236733475210039771950539382381388616122205839276890570641111736335496414029610760694619888259450473458171255691467040833743183155147942771168547878834447527468108272256505988091638871890002540079082540499335771456787031845179851795103180290984475096346620946454935593919470758778098580684715488712783037153830538103232447710791133608765606012818355193476174200637763642514656315826888979725279585176262554687676478706750640350801966753708916479242352940720266382599342286963092792006168958932744457802221332133848454731131022886629810812763081456120605683526797993450180470294051842460760066638728167379149180924301555544232339224466979104284159686185240429585079092558485266136288097242543359669064774328640096051162351954108463196702347470784574143345591915698017357119667506097331182379144884432474643784015115922326608861087415748292860666542696494000198485851311473800095228159332050275655597825934083726131018145211751303501678789471194741373131603353052117537327306743238180977298462252329026847953755517581408358107057951336621444470394785246393926886930063018928086489739020965195548191059179639418818869694973411692113997896867793128258941478484810387729214563405518504960548844526230845426593332090298249697188322711253184749607521116027430286713785044480479509158750863889183523414210218343486020555262332186127819091359144063912823875522112685983174068030221584816709965025883759551491432321091783840591567537918908606247079099246980461765235668977581050807926250201889356329119661092536587987151752369993650588432006287524315762484675711542514036931883790930610179586877845413033654479368571337013216127438848426564787174631785419725633719905006757990028241372854304115214168741764506820171631598791989150375286037793580413521216218720094223884516622130123167743199387228835271042923165985334918680140479482600671239473904134514231230258913137243775094481714642511489032786206567937684550328376127397278380244114078744019917620680937482714730954819478095773361215723905525359006051294361507733347218788467546132613297030866001269781904952380188160887128055380254996545453629783765991079042028477505908001826763763322219818722602720805121773828497598556346099972496737943215603603726792001310059888082905209592234827030417338442411261285973169185573784354553099528967847780115663731939456110699010943396882307455828799374210184412331908883165208213130064086722143419988730342139741961689988681653336586379447457213277613993481811196536678843277081078610333066283708489721981732374835384340474831441526339070482686101844266048042755625034489109355427784285918290129692445246598934444906716076386511159849812559949809513533744087750806342106404800083567662140222858917717351678069132849158185312147087810852961393212951458441315570428225240630977177328360021556325128024435036668985720384132985133735433887714006654400885270004422184035794863102957481989865310125167755164213252952804764605415857424971380137885385848198796667643611434546690520136543699783761777948403264773284883919799423065870111415149105107476225215440615212403511272066539003161202267600819193295268697242480811143055758104944221113711885038462264208993063440905617169222964546238474384136592718815224804826613192224889358384679544074251011389961004559672414256072794409120330945457949075038471646579676200806906299063113289205712735084368976302680576721448476705603648567009999608622698472248270203371580083479238303610574321143378663006320458484849669752641458273935731188987215487173641044908341783541443669803524334105940055507468347234664434337032986500103375003764932719928701351007756419655321800628346739107448238310958466688163465580816991856860837302255871290649905471673508938479939973092122804522290943808554502051368167060397699264598457667543421344942272203867079562061612723465882371477119837121415474219592314699170153710361582297795527070684547682411295508913799706860475263742829161789291907996829409490918220202253321654}
30972 5504084393357487735918257405372132076584845281139694009258044230449352891575165860319229: {711827,959171,1268171,1794578,1885571,2352124,2440547,3117971,3179507,3487067,3647498,3836188,4040171,4209064,4577788,4735197,5021867,5496818,5879171,6123827,6235538,7177384,8074557,8079818,8259107,8449077,8684987,9535571,10058425,10288202,10674645,11386288,11594747,11915365,11977948,12070110,12124562,12801707,12809574,12874784,13223387,13454524,13524347,14125667,14298438,14484132,14606147,15325907,15667228,15786482,15924827,16151882,16463171,17021950,17140924,17247218,17299307,17357901,17976722,18041512,18613468,19145171,19798307,19976267,20136081,20296701,20426340,20575765,21219971,21231014,21751907,21788096,22924317,22990571,23226107,23954344,23971525,24460571,24511608,24574245,24690918,24904285,25281587,25691507,25773853,25867067,25958908,25984067,26145145,26212528,26324618,26415304,26510171,26568587,26948637,27575559,27891112,28129298,28765830,29210378,29393950,29479187,29489094,29620828,29717217,29885142,30330020,30348467,30649802,30683552,30971941,31332424,31374174,31377501,31394965,31446971,31727858,32329165,32600171,32657747,32901045,33118067,33275548,33498273,33788584,34185385,34381307,34518996,35094448,35248977,35272740,35577550,36097667,36396024,36611171,36733864,36819790,37124027,37624256,37651708,37673958,38012157,38261387,38446845,38601971,38658707,38696104,38794998,39237962,39481254,40167112,40300571,40496533,40563388,40639427,40945527,41009968,41016722,41022462,41290588,41325597,41372627,42327288,42437138,42693060,43328600,43395971,43533117,43900187,44180027,44183748,44245630,44849950,45188001,45408947,45539264,45576227,46136214,46188971,46241845,46522787,46684562,47245067,47513512,47618199,47942961,48663901,48744675,48800498,48906707,49953565,49994524,50340971,50891171,51231672,51613682,51994320,52292445,52414054,52599700,53016818,53094756,53452701,53608924,53819940,54447971,54767498,54778801,55460608,55490214,55589867,55778608,56514578,56565827,56619971,57407936,57604694,57635631,57755147,57852190,58029375,58240571,58493610,58750024,58994387,59639267,59944278,60816124,60979067,61406747,61898000,62393184,62573413,62739947,62750934,62774258,63119640,63643667,63855971,64439147,64583928,64599112,64634901,65127107,65195978,65541362,65844028,65886602,66059944,66093777,66182867,66235571,66748017,67025171,67287971,67327616,68006824,68075171,68389547,68546627,68643338,69174227,69422628,69635250,70113467,70142428,70192332,70361618,70478027,70622517,71009595,71110369,71188033,72191387,72294947,72418802,72444085,72656919,72674001,73002268,73103378,73196942,73225547,74277600,74307971,74317437,74877220,75193261,75386867,75743568,75899387,76052987,76155347,76507677,77198738,77539082,77686907,77725864,77988453,78255430,78602387,78653171,78837668,79229440,79461925,80131708,80425571,81484307,82292420,82354294,82740107,83190971,83562300,84074425,84190571,84390107,84653042,84990218,85211514,85385965,85814524,85882547,86130587,86396245,86922971,86932902,87441597,87682442,87940828,87959867,88107707,88164645,88403171,89091467,89133120,89385971,89390590,89582147,89852664,90609971,90662253,91289512,91293227,91478908,91703498,91780307,92371658,92800571,92957037,93039242,93478787,93527171,93906516,94042288,94372682,94541387,95009788,95075328,95155624,95263667,95354310,95936171,96036242,96163165,97133171,97696202,98750904,99559547,99940924,99982504,...,630715822069808584452781834785547244856728928748577816662064872130426870402500978570139972296937406836089823534488816002393928351264373583461487950517593515259345056873363874620680062605763626588181373859952227575193500750730331318756679348231494537451205755901067889268697766698476199708438784687320470727190992922429949254280418537503042750765023352543785452282671704596705871856132943379454127282355388977554611018256311165936517064479509332425210005354271209188814993947895705616836253691864389899733354638225747343180278253698899573132210709392950459130978653677379809930163900734544643608066501105580964378430741068010765933350970522489490807444926397083170791585634246843538718881663698124635277209200811568070554675006131111436466530262691987814940937020877174073016185639319383228155218099504624581238598989781749128538963732685480505071214433321527467627707893464044565044914679861498464653237026897860969708002261934692563057434393185166866352245197351655998774562243192045023217482202120415862355100212815059657925809073572082924183308758915335855961667604503244621044416141041929832389175710187256883537200561250614774732721914156752821818251671291202162408384758982137458307835003810118623810749003657185180547767769777692654770436476712644519931419682403390879206138167147871027073233069174555730745807154848671566186700413148409019227532790214261300956645463771984473740333469587919377764393832031514718060125960526202950130563374718863529411080399573899013430444639188009253438399116686703331998200772682096696534329944716219144622184180908525290196990175270705441077763691140099958092251068723771386452333316348508836700468656426239529277860644377618638837727899204432145863815039503597161492960144076743527931162694795053521206176861215018387873547026035679501259145996773568717326648711965676022673883489913291631123622439290999814044741000297728776967210700142842238998075413483396738901125589196527217817626955252518184206792112059697405029578176305990960114857271465947693378493540271930633276372112537160586927004932166705592177869590890330395094528392129734608531447793322286588769459128228304542460117538170996845301689692388412217727215581593821845108277757440823266789346268139889998135447374545782484066879777124411281674041145430070677566720719263738126295833775285121315327515229030832893498279191728637038716095869235813283169028974761102045332377225064947538825639327237148481637675760887351306878362909370618648870470692647853503466371576211889375302834034493679491638804881980727628554990475882648009431286473643727013567313771055397825686395915269380316768119550481719052857005519824191158272639847180761947678129588450579857510136985042362059281456172821253112646760230257447398187983725562929056690370620281824328080141335826774933195184751614799080843252906564384748978002378020210719223901006859210856201771346845388369705865662641722571963767233549179309851906526825492564191095917570366171118116029876431021406224072096432229217143660041823585858288038509076941542261600020828182701319198919945546299001904672857428570282241330692083070382494818180444675648986618563042716258862002740145644983329728083904081207682660742746397834519149958745106914823405405590188001965089832124357814388352240545626007663616891928959753778360676531829649293451771670173495597909184166048516415095323461183743199061315276618497863324747812319695096130083215129983095513209612942534983022480004879569171185819916420990222716794805018264915621617915499599425562734582972598562253076510712247162289508605724029152766399072064133437551733664033141676428877435194538667869898401667360074114579766739774718839924714270300616131626209513159607200125351493210334288376576027517103699273737277968220631716279442089819427187661973355642337860946465765992540032334487692036652555003478580576199477700603150831571009981601327905006633276053692294654436222984797965187751632746319879429207146908123786137457070206828078772298195001465417151820035780204815549675642666922604897159927325879699134598805167122723657661214337823160922818605266908099808504741803401401228789942903045863721216714583637157416331670567827557693396313489595161358425753834446819357711576204889078222837207239919788337334037577019316111376517084941506839508621384109191613680496418186923612557707469869514301210359448594669933808569102626553464454020865082172715058405472850514999412934047708372405305057370125218857455415861481715067994509480687727274504628962187410903596783480823230760461567362512675312165504705286501158910083261202520851996651505549479750155062505647399079893052026511634629482982700942520108661172357466437700032245198371225487785291255953383806935974858207510263407719909959638184206783436415712831753077052250590596548896897686501315132017413408305800619343092419085198823557215679755682123211329388472048755230565542373446693290606026821523616943263370699560290712895614243742683937861995244114236377330303379982481}
30973 5520907310500840261015696462648393881607051897951124962609030448178763462700994301820813: {61942,2691867,2940155,3528186,3682931,4425707,4795235,5261330,5471247,5722235,5754282,6280211,6313596,6866682,7489658,7642427,8245227,8971730,9250163,9353307,9963002,9992651,10547471,10766076,11265436,11660987,12119727,12933338,13516847,13675922,14232860,14972435,15432303,15654122,15786323,16093480,16818155,17079432,17881586,17966922,18105165,18186843,19064584,19214361,19312176,19584035,19733978,20181786,20960051,21426155,21447657,21726198,22551890,22935962,23113391,23143868,23266835,23500842,23679723,24188042,24227823,24404723,25254287,25532925,25711386,25870827,26848108,26907803,26965083,27062268,27235120,27415871,27920202,29565011,29705471,29942930,30565756,30639510,30707642,31714787,31846521,32142131,32448635,32682144,32765660,32921224,33019130,33859091,34863890,34963247,35146223,35717747,35804987,35883722,35931516,36767412,36992747,37026035,37036377,37773242,37912525,38354440,38938362,39165530,39318792,39486927,39622956,39846856,40517867,41574323,41594435,41832232,41836668,42193947,42235730,42831947,42916523,43148745,43715867,43815567,43868060,44090925,44233641,44431242,44664364,44827713,45191882,45495030,45536282,45917330,45974703,46025328,46998636,47030320,47061261,47064635,47591787,48159338,48370130,48528032,48683567,48806282,49150763,49913322,50208890,50231944,50682876,50704235,50886491,51262460,51406271,51613235,51726664,51778494,52501787,52610522,52641672,52909110,53366325,53671178,54023603,54160750,54594036,54696616,55100796,55229685,55577978,56092607,56436384,56477562,56510937,56524223,56924080,57802451,58044156,58192497,58395971,58856943,58911664,59206907,59221881,59391890,59505971,60250668,60375407,60445418,60478067,60845082,61284971,61514952,61525083,61533693,61935882,62493155,62868923,63490932,63655707,63923948,64039590,64072082,64992900,65353907,65749625,66215627,66275622,66368445,66559811,67011155,67274925,67340207,67947071,68010131,68308896,68568698,68833043,69204321,69262106,69325760,69723260,69856547,70026843,70793008,71270268,71430866,71627387,71759920,72627962,72820571,73200747,73437530,73980698,73986952,74991786,76020155,76524251,76646642,76847508,77208371,77318387,77372500,77420523,77991480,78319727,78621081,78784043,78899550,79400207,79525227,79642134,79878323,79925704,80216651,80413386,80729910,80748890,80969387,82151247,82287002,82305035,82574930,83190912,83235321,83261171,83316938,83667912,84159520,84771867,85008530,85123427,85827482,86111904,86179868,86407041,86778285,87117962,87484691,87678035,87740415,88125036,88373807,88849178,88997356,89916417,90022202,91224186,91252835,92122067,92360987,92563504,92847000,93072083,93589776,93596525,93729362,94126401,94161387,94163356,94212527,94679460,94749563,95175242,95914931,96563171,96875892,96898668,97157330,97174991,97360826,97598291,97793967,98312043,98468927,98547085,98766042,98829903,99036800,99089916,99767147,99932867,...,840954429426411445937042446380729659808971904998103755549419829507235827203334638093519963062583209114786431379318421336525237801685831444615317267356791353679126742497818499494240083474351502117575165146602970100258001000973775091675572464308659383268274341201423852358263688931301599611251712916427294302921323896573265672373891383337390334353364470058380603043562272795607829141510591172605503043140518636739481357675081554582022752639345776566946673805694945585086658597194274155781671589152519866311139517634329790907037671598532764176280945857267278841304871569839746573551867646059524810755334807441285837907654757347687911134627363319321076593235196110894388780845662458051625175551597499513702945601082090760739566674841481915288707016922650419921249361169565430688247519092510970873624132672832774984798653042332171385284976913974006761619244428703290170277191285392753393219573148664619537649369197147959610669682579590084076579190913555821802993596468874665032749657589393364289976269493887816473466950420079543901078764762777232244411678553781141282223472670992828059221521389239776518900946916342511382934081667486366310295885542337095757668895054936216544513011976183277743780005080158165080998671542913574063690359703590206360581968950192693241892909871187838941517556197161369430977425566074307661076206464895421582267217531212025636710386952348401275527285029312631653777959450559170352525109375352957413501280701603933507417832958484705881440532765198684573926185584012337917865488915604442664267696909462262045773259621625526162912241211367053595986900360940588103684921520133277456334758298361848603111088464678448933958208568319372370480859170158185116970532272576194485086719338129548657280192102324703908216926393404694941569148286691183831396034714239335012194662364758289768864949287568030231844653217722174831496585721333085392988000396971702622947600190456318664100551311195651868167452262036290423502607003357578942389482746263206706104235074654613486476361954596924504658053695907511035162816716214115902673242888940789570492787853773860126037856172979478041930391096382118359278837637739389946823384227995793735586256517882956969620775458429126811037009921097689052461690853186664180596499394376645422506369499215042232054860573427570088960959018317501727778367046828420436686972041110524664372255638182718288127825647751044225371966348136060443169633419930051767519102982864642183567681183135075837817212494158198493960923530471337955162101615852500403778712658239322185073175974303504739987301176864012575048631524969351423085028073863767581861220359173755690826067308958737142674026432254877696853129574349263570839451267439810013515980056482745708608230428337483529013640343263197583978300750572075587160827042432437440188447769033244260246335486398774457670542085846331970669837360280958965201342478947808269028462460517826274487550188963429285022978065572413135875369100656752254794556760488228157488039835241361874965429461909638956191546722431447811050718012102588723015466694437576935092265226594061732002539563809904760376321774256110760509993090907259567531982158084056955011816003653527526644439637445205441610243547656995197112692199944993475886431207207453584002620119776165810419184469654060834676884822522571946338371147568709106199057935695560231327463878912221398021886793764614911657598748420368824663817766330416426260128173444286839977460684279483923379977363306673172758894914426555227986963622393073357686554162157220666132567416979443963464749670768680949662883052678140965372203688532096085511250068978218710855568571836580259384890493197868889813432152773022319699625119899619027067488175501612684212809600167135324280445717835434703356138265698316370624294175621705922786425902916882631140856450481261954354656720043112650256048870073337971440768265970267470867775428013308801770540008844368071589726205914963979730620250335510328426505905609529210831714849942760275770771696397593335287222869093381040273087399567523555896806529546569767839598846131740222830298210214952450430881230424807022544133078006322404535201638386590537394484961622286111516209888442227423770076924528417986126881811234338445929092476948768273185437630449609653226384449778716769359088148502022779922009119344828512145588818240661890915898150076943293159352401613812598126226578411425470168737952605361153442896953411207297134019999217245396944496540406743160166958476607221148642286757326012640916969699339505282916547871462377974430974347282089816683567082887339607048668211880111014936694469328868674065973000206750007529865439857402702015512839310643601256693478214896476621916933376326931161633983713721674604511742581299810943347017876959879946184245609044581887617109004102736334120795398529196915335086842689884544407734159124123225446931764742954239674242830948439184629398340307420723164595591054141369095364822591017827599413720950527485658323578583815993658818981836440404506643308}
30974 5537781350651547208927327903310624844711933836086921705876929337001379868189888275003333: {92913,1144669,1330033,1423654,1918342,2536342,3179713,3589156,3771142,4704248,4838269,4881094,5292279,5940733,6235942,6359014,6490993,6974134,7294996,7672376,7891995,8080342,8320513,8418128,8503069,8631423,9155576,9470394,9596893,10043734,10142833,10300023,10324669,10993636,11234487,11758342,12139069,12247654,12471076,12862813,13457595,13946269,14081795,14354768,14944503,16149114,16159636,16518214,16643569,16681511,16898154,17360113,17369974,17791075,18432769,19071142,19400007,20036893,20116850,20513883,20576404,21349290,22166653,22697473,22772576,23189494,23481183,23757169,23830730,23955896,24140220,24249124,25603414,25619148,25749568,26395069,26446774,26570353,26822379,26909048,26950383,27048694,28251334,28596876,28806071,28929835,28968264,29212294,29600967,29713153,30272679,30651814,31334456,31572964,31849654,32303764,32589297,32659933,32926342,33522673,33560135,33827835,34043900,34281848,34403943,34494436,34598614,34715802,34865999,34899313,35251263,35953444,36083024,36100093,36282063,36603203,37226936,38207195,38290342,38320753,38567079,38661313,39596614,39952534,40272162,40593402,40852680,40957075,41151530,41182471,41880303,42439942,42462028,42725569,43503814,43576192,43952951,44914395,45077233,45260831,45848634,45959265,45981142,46061463,46452214,47747569,47859539,47908688,47943050,48744193,48921142,49023216,49148490,49381836,49528695,49808570,50399473,50563174,51224413,51383014,51547706,51734134,51917816,51968134,52047553,52290290,52295835,52425056,52540573,52649236,52830608,53020342,53137174,53825583,53897274,54506173,54835075,55151118,55782224,55830455,56258596,56623873,56659863,57511883,57531660,58407543,58420756,58748295,58787900,58958374,58978188,59241656,59374813,59434434,59770284,60660040,60696934,61299604,61367104,61464433,61624669,61943882,62264893,62664848,62748348,62755002,62789930,62893942,63353595,63382513,63455716,63860413,64078075,64655473,64658330,64738583,65200342,65315494,65607169,65802090,66236134,66240193,66551096,66646863,66996546,67187569,67577168,67787823,67817713,67975069,68132353,68242545,68304423,68370770,68762614,68875995,69037992,69544669,69934991,70188896,70497954,70545480,71155100,72195334,72239007,72555195,72792048,73209423,73222342,73467728,73639580,74248054,74869983,75248512,75303416,75313335,75347916,75751069,76024314,76522774,76893690,77203942,77317414,77392208,77589996,77667741,78475924,78658753,78915783,78962508,79363665,79904935,80178673,80334224,80506767,80601142,80993066,81087169,81126776,81241125,81278854,81842269,81891054,82019936,82033444,82044924,82581176,82651194,82745254,83366967,84039527,84654576,84716343,84874276,85386120,86657200,86791942,87066234,87154075,87800374,88360054,88367496,88409533,88491260,88864763,89087835,89699900,90376002,90668127,90817894,91078528,91152454,91267623,91348573,92272428,92370433,92377942,92483690,92903823,93045574,93369124,93533953,94490134,94548253,95027024,95236398,95885922,96059385,96108123,96566269,96715625,97283569,97327802,97489350,97600996,97813414,98712769,98855293,99413433,99424669,99907130,99989048,...,1261431644139617168905563669571094489713457857497155633324129744260853740805001957140279944593874813672179647068977632004787856702528747166922975901035187030518690113746727749241360125211527253176362747719904455150387001501460662637513358696462989074902411511802135778537395533396952399416877569374640941454381985844859898508560837075006085501530046705087570904565343409193411743712265886758908254564710777955109222036512622331873034128959018664850420010708542418377629987895791411233672507383728779799466709276451494686360556507397799146264421418785900918261957307354759619860327801469089287216133002211161928756861482136021531866701941044978981614889852794166341583171268493687077437763327396249270554418401623136141109350012262222872933060525383975629881874041754348146032371278638766456310436199009249162477197979563498257077927465370961010142428866643054935255415786928089130089829359722996929306474053795721939416004523869385126114868786370333732704490394703311997549124486384090046434964404240831724710200425630119315851618147144165848366617517830671711923335209006489242088832282083859664778351420374513767074401122501229549465443828313505643636503342582404324816769517964274916615670007620237247621498007314370361095535539555385309540872953425289039862839364806781758412276334295742054146466138349111461491614309697343132373400826296818038455065580428522601913290927543968947480666939175838755528787664063029436120251921052405900261126749437727058822160799147798026860889278376018506876798233373406663996401545364193393068659889432438289244368361817050580393980350541410882155527382280199916184502137447542772904666632697017673400937312852479058555721288755237277675455798408864291727630079007194322985920288153487055862325389590107042412353722430036775747094052071359002518291993547137434653297423931352045347766979826583262247244878581999628089482000595457553934421400285684477996150826966793477802251178393054435635253910505036368413584224119394810059156352611981920229714542931895386756987080543861266552744225074321173854009864333411184355739181780660790189056784259469217062895586644573177538918256456609084920235076341993690603379384776824435454431163187643690216555514881646533578692536279779996270894749091564968133759554248822563348082290860141355133441438527476252591667550570242630655030458061665786996558383457274077432191738471626566338057949522204090664754450129895077651278654474296963275351521774702613756725818741237297740941385295707006932743152423778750605668068987358983277609763961455257109980951765296018862572947287454027134627542110795651372791830538760633536239100963438105714011039648382316545279694361523895356259176901159715020273970084724118562912345642506225293520460514894796375967451125858113380741240563648656160282671653549866390369503229598161686505813128769497956004756040421438447802013718421712403542693690776739411731325283445143927534467098358619703813053650985128382191835140732342236232059752862042812448144192864458434287320083647171716576077018153883084523200041656365402638397839891092598003809345714857140564482661384166140764989636360889351297973237126085432517724005480291289966659456167808162415365321485492795669038299917490213829646810811180376003930179664248715628776704481091252015327233783857919507556721353063659298586903543340346991195818368332097032830190646922367486398122630553236995726649495624639390192260166430259966191026419225885069966044960009759138342371639832841980445433589610036529831243235830999198851125469165945197124506153021424494324579017211448058305532798144128266875103467328066283352857754870389077335739796803334720148229159533479549437679849428540601232263252419026319214400250702986420668576753152055034207398547474555936441263432558884179638854375323946711284675721892931531985080064668975384073305110006957161152398955401206301663142019963202655810013266552107384589308872445969595930375503265492639758858414293816247572274914140413656157544596390002930834303640071560409631099351285333845209794319854651759398269197610334245447315322428675646321845637210533816199617009483606802802457579885806091727442433429167274314832663341135655115386792626979190322716851507668893638715423152409778156445674414479839576674668075154038632222753034169883013679017242768218383227360992836373847225115414939739028602420718897189339867617138205253106928908041730164345430116810945701029998825868095416744810610114740250437714910831722963430135989018961375454549009257924374821807193566961646461520923134725025350624331009410573002317820166522405041703993303011098959500310125011294798159786104053023269258965965401885040217322344714932875400064490396742450975570582511906767613871949716415020526815439819919276368413566872831425663506154104501181193097793795373002630264034826816611601238686184838170397647114431359511364246422658776944097510461131084746893386581212053643047233886526741399120581425791228487485367875723990488228472754660606759964962}
30975 5554706668273993056907707369990229742345989354077679464561881131694483286295845523552033: {123884,2135481,2877513,3804513,4116217,4486445,5230381,5383734,5656713,5880310,6713329,7056372,7321641,7365862,7828073,8011129,8851414,8941949,9118745,9353913,9538521,9590470,10461201,10522660,10942494,11168257,11444470,11508564,12120513,12465193,12560422,12627192,13733364,13742045,14205591,14979316,15065601,15284854,15588845,16490454,17637513,17943460,18021113,18371481,18500326,18706614,19926004,19985302,20199545,20961409,21094942,21532152,22530872,23321974,23545417,24127433,24223671,24239454,24697889,24777321,25347231,25720505,25866676,26054961,27033694,27351844,27417649,28194353,28465720,28606713,29149073,29944870,29996617,30175275,30311405,30864606,31308244,31572646,32023935,32186960,32573569,33636310,34158864,34784241,35746095,35763172,35933844,36210330,36373686,38129168,38347793,38405121,38428722,38624352,39168070,39466205,39467956,39670161,40363572,40379705,40573041,41320201,41920102,41921801,42377001,42554875,42852310,42895314,43118045,43452396,43718701,43818441,44941805,45103780,45428089,45871924,45977721,46226782,46287736,46533670,46704797,47001684,47359446,47482541,47774481,48376084,48455646,48809446,49389513,50428673,50508574,51065850,51422772,51741654,51836449,51897921,51931133,52073703,53077535,53696216,53815606,53930166,54124536,54470240,54831742,55840404,56117969,56873137,57435513,58232209,58928921,59130022,59394921,59410942,59885860,59928801,60379321,60408243,60890103,61131512,61279020,61415284,61727295,63429574,63659913,63693042,64284262,64654073,64897270,65255721,65364288,65531320,65811545,65842448,65890489,66038260,67104413,67718182,68216129,68772951,68971713,69678321,69727780,69861073,69926494,70292446,70323245,70985929,71435494,71609974,71666873,71767444,71863032,71914575,72258529,72427693,73025945,73381713,73484875,73534824,73722735,73985494,74052070,74072754,74390377,74712855,75546484,75825050,75844761,76529209,76624505,76708880,77074521,77321559,77601201,77876724,77952201,78039197,78331060,78435435,78637584,78973854,79245912,79319645,79530513,79583881,79693712,79705761,80150561,80845911,80974633,81035734,81387697,82726677,83148646,83188870,83664464,83673336,84387894,84471460,84798593,85599737,85663894,85833046,86297490,86711021,86808689,87431734,87490417,87631134,87736120,88181850,88437561,88467282,88862484,88943875,89151651,89328728,89655426,90200857,90383764,90990060,91045401,91072564,91834660,91949406,92049475,92050656,92915823,93815617,93997272,94060640,94122522,94129270,94132503,94184895,94340913,95183574,95693417,96318676,96740260,96866401,96987495,97056064,97367134,97612564,97800513,97973241,98094905,98301526,98475313,98703135,98852633,99354201,99826644,...,1892147466209425753358345504356641734570186786245733449986194616391280611207502935710419916890812220508269470603466448007181785053793120750384463851552780545778035170620091623862040187817290879764544121579856682725580502252190993956270038044694483612353617267703203667806093300095428599125316354061961412181572978767289847762841255612509128252295070057631356356848015113790117615568398830138362381847066166932663833054768933497809551193438527997275630016062813627566444981843687116850508761075593169699200063914677242029540834761096698719396632128178851377392935961032139429790491702203633930824199503316742893135292223204032297800052911567468472422334779191249512374756902740530616156644991094373905831627602434704211664025018393334309399590788075963444822811062631522219048556917958149684465654298513873743715796969345247385616891198056441515213643299964582402883123680392133695134744039584495393959711080693582909124006785804077689172303179555500599056735592054967996323686729576135069652446606361247587065300638445178973777427220716248772549926276746007567885002813509733863133248423125789497167527130561770650611601683751844324198165742470258465454755013873606487225154276946412374923505011430355871432247010971555541643303309333077964311309430137933559794259047210172637618414501443613081219699207523667192237421464546014698560101239445227057682598370642783902869936391315953421221000408763758133293181496094544154180377881578608850391690124156590588233241198721697040291333917564027760315197350060109995994602318046290089602989834148657433866552542725575870590970525812116323233291073420299874276753206171314159356999949045526510101405969278718587833581933132855916513183697613296437591445118510791484478880432230230583793488084385160563618530583645055163620641078107038503777437990320706151979946135897028068021650469739874893370867317872999442134223000893186330901632100428526716994226240450190216703376767589581653452880865757554552620376336179092215088734528917972880344571814397843080135480620815791899829116337611481760781014796500116776533608772670991185283585176389203825594343379966859766308377384684913627380352614512990535905069077165236653181646744781465535324833272322469800368038804419669994406342123637347452200639331373233845022123436290212032700162157791214378887501325855363945982545687092498680494837575185911116148287607707439849507086924283306135997131675194842616476917981711445444913027282662053920635088728111855946611412077943560510399114728635668125908502103481038474916414645942182885664971427647944028293859420931181040701941313166193477059187745808140950304358651445157158571016559472573474817919541542285843034388765351739572530410955127086177844368518463759337940280690772342194563951176688787170071111860845472984240424007480324799585554254844397242529758719693154246934007134060632157671703020577632568605314040536165109117596987925167715891301700647537929555719580476477692573287752711098513354348089629293064218672216289296687651430980125470757574864115527230824626784800062484548103957596759836638897005714018572285710846723992076249211147484454541334026946959855689128148776586008220436934949989184251712243623047982228239193503557449876235320744470216216770564005895269496373073443165056721636878022990850675786879261335082029595488947880355315010520486793727552498145549245285970383551229597183945829855493589974243436959085288390249645389949286539628838827604949067440014638707513557459749262970668150384415054794746864853746498798276688203748917795686759229532136741486868525817172087458299197216192400312655200992099425029286632305583616003609695205002080222343739300219324156519774142810901848394878628539478821600376054479631002865129728082551311097821211833904661895148838326269458281562985920066927013582839397297977620097003463076109957665010435741728598433101809452494713029944803983715019899828161076883963308668954393895563254898238959638287621440724371358412371210620484236316894585004396251455460107340614446649026928000767814691479781977639097403796415501368170972983643013469482768455815800724299425514225410204203686369828709137591163650143750911472248995011703482673080188940468785484075277261503340458073134728614667234668511621719759365012002112731057948334129551254824520518525864152327574841041489254560770837673122409608542903631078345784009801425707307879660393362062595246518145175216418551544998238802143125117215915172110375656572366247584445145203983528442063181823513886886562232710790350442469692281384702087538025936496514115859503476730249783607562555989954516648439250465187516942197239679156079534903888448948102827560325983517072399313100096735595113676463355873767860151420807924574622530790223159729878914552620350309247138495259231156751771789646690693059503945396052240224917401858029277257255596470671647039267046369633988165416146265691696627120340079871818080464570850829790112098680872138686842731228051813585985732342709131990910139947443}
30976 5571683418296580764047549489733299025302034695668090050465696624545612762102414350223598: {154855,185826,2289338,2564119,2660066,2847308,3302983,3836684,4224943,5072684,5145103,5328919,6359426,7178312,7542284,8075601,8077519,8260183,8820465,9408496,9676538,9762188,10584558,11048793,11717119,11881466,12471884,12718028,12803383,12981986,13153325,13277121,13948268,14247703,14385705,14589992,14608063,15344752,15507703,15783990,16160684,16413741,16641026,16836256,17006138,17166705,17262846,17838343,18311152,18724145,18840633,18940788,19193786,19714513,19800919,20087468,20285666,20600046,20649338,20690119,21987272,22429325,22468974,22927281,23346919,23516684,24278138,24495308,24735681,24907505,24942152,25284943,25725626,25811983,25987519,26688943,26915190,27750489,27892538,27913663,28059921,28163590,28437463,28709536,29889006,29977953,31393423,31642413,32298228,32319272,32333345,32777263,32949919,33036428,33122503,33287138,33363022,33796308,34189805,34720226,34739948,34982961,35359543,35582150,36216703,36359181,36387919,36865538,37413703,38142284,38777383,38800014,39135305,40073786,40233700,40501769,40550541,41027766,41152808,41659903,42503743,42698580,44018119,44333306,44703965,44856919,44917305,45394946,45545152,45693919,46296909,46378988,46962366,46984189,47358969,47362519,47514338,47661460,47911792,48027943,48280440,48498248,48670193,49334945,50454465,50678119,51206828,51238296,51499136,52790138,52893548,53140706,53145919,53490073,53644758,53801263,53818096,53900766,54097388,54315495,54560529,55597519,56379725,56502668,56573623,57193752,57339905,57612142,57643083,57859670,57871063,57936528,58424588,58679623,58752105,59201934,59426306,60470105,60545358,61303628,62668912,62880153,63145928,63637409,63699308,64278465,64342971,64607528,65178594,65241919,65319866,65852684,66824119,67045346,67120270,67454983,67655670,67968589,68087800,68563696,68807886,68988872,69027103,69197228,69340173,69431604,69731998,69798626,69800505,70123303,70502526,70592023,71039169,71906888,72166048,72200186,72305119,72564126,72683469,73206406,73214169,74453872,74857325,75243583,75762861,76012543,76166119,76319623,76414390,76580684,76598775,76641506,76769105,77134158,77322626,77612481,78162637,79193228,79905068,80544324,80723409,80891263,80895249,81186804,81705360,81914150,82247613,82303060,82364942,82547825,82852183,83760606,84501919,84879884,84924056,85451138,85994119,86080973,87007628,87152384,87159725,87905902,88071103,88695033,88956919,89104303,89116413,89709305,89828790,90154466,90521662,91697268,91890919,91918530,91962284,92036863,92122926,92765503,92904428,94433105,94940623,95144361,95373703,95495138,95539563,95719078,95817376,95886100,96426393,96812623,97099543,97345905,97488386,97842284,97913825,98046432,98296980,98329649,98763672,99057390,99319441,99617140,...,2522863288279234337811127339142188979426915714994311266648259488521707481610003914280559889187749627344359294137955264009575713405057494333845951802070374061037380227493455498482720250423054506352725495439808910300774003002921325275026717392925978149804823023604271557074791066793904798833755138749281882908763971689719797017121674150012171003060093410175141809130686818386823487424531773517816509129421555910218444073025244663746068257918037329700840021417084836755259975791582822467345014767457559598933418552902989372721113014795598292528842837571801836523914614709519239720655602938178574432266004422323857513722964272043063733403882089957963229779705588332683166342536987374154875526654792498541108836803246272282218700024524445745866121050767951259763748083508696292064742557277532912620872398018498324954395959126996514155854930741922020284857733286109870510831573856178260179658719445993858612948107591443878832009047738770252229737572740667465408980789406623995098248972768180092869928808481663449420400851260238631703236294288331696733235035661343423846670418012978484177664564167719329556702840749027534148802245002459098930887656627011287273006685164808649633539035928549833231340015240474495242996014628740722191071079110770619081745906850578079725678729613563516824552668591484108292932276698222922983228619394686264746801652593636076910131160857045203826581855087937894961333878351677511057575328126058872240503842104811800522253498875454117644321598295596053721778556752037013753596466746813327992803090728386786137319778864876578488736723634101160787960701082821764311054764560399832369004274895085545809333265394035346801874625704958117111442577510474555350911596817728583455260158014388645971840576306974111724650779180214084824707444860073551494188104142718005036583987094274869306594847862704090695533959653166524494489757163999256178964001190915107868842800571368955992301653933586955604502356786108871270507821010072736827168448238789620118312705223963840459429085863790773513974161087722533105488450148642347708019728666822368711478363561321580378113568518938434125791173289146355077836512913218169840470152683987381206758769553648870908862326375287380433111029763293067157385072559559992541789498183129936267519108497645126696164581720282710266882877054952505183335101140485261310060916123331573993116766914548154864383476943253132676115899044408181329508900259790155302557308948593926550703043549405227513451637482474595481882770591414013865486304847557501211336137974717966555219527922910514219961903530592037725145894574908054269255084221591302745583661077521267072478201926876211428022079296764633090559388723047790712518353802319430040547940169448237125824691285012450587040921029789592751934902251716226761482481127297312320565343307099732780739006459196323373011626257538995912009512080842876895604027436843424807085387381553478823462650566890287855068934196717239407626107301970256764383670281464684472464119505724085624896288385728916868574640167294343433152154036307766169046400083312730805276795679782185196007618691429714281128965322768332281529979272721778702595946474252170865035448010960582579933318912335616324830730642970985591338076599834980427659293621622360752007860359328497431257553408962182504030654467567715839015113442706127318597173807086680693982391636736664194065660381293844734972796245261106473991453298991249278780384520332860519932382052838451770139932089920019518276684743279665683960890867179220073059662486471661998397702250938331890394249012306042848988649158034422896116611065596288256533750206934656132566705715509740778154671479593606669440296458319066959098875359698857081202464526504838052638428800501405972841337153506304110068414797094949111872882526865117768359277708750647893422569351443785863063970160129337950768146610220013914322304797910802412603326284039926405311620026533104214769178617744891939191860751006530985279517716828587632495144549828280827312315089192780005861668607280143120819262198702570667690419588639709303518796538395220668490894630644857351292643691274421067632399234018967213605604915159771612183454884866858334548629665326682271310230773585253958380645433703015337787277430846304819556312891348828959679153349336150308077264445506068339766027358034485536436766454721985672747694450230829879478057204841437794378679735234276410506213857816083460328690860233621891402059997651736190833489621220229480500875429821663445926860271978037922750909098018515848749643614387133923292923041846269450050701248662018821146004635640333044810083407986606022197919000620250022589596319572208106046538517931930803770080434644689429865750800128980793484901951141165023813535227743899432830041053630879639838552736827133745662851327012308209002362386195587590746005260528069653633223202477372369676340795294228862719022728492845317553888195020922262169493786773162424107286094467773053482798241162851582456974970735751447980976456945509321213519929924}
30977 5588711756113117682153822730097346057055012922636271431968021191636081402217317608581835: {30977,247768,278739,3434007,3559135,3990099,4270962,4795855,5755026,5787463,6281023,6340855,7609026,8232434,8972890,9251359,9427855,9539139,9868903,9993943,10460762,10767468,11313426,11760620,12096367,12202735,12766243,13426658,14112744,14514807,14643282,14731724,15248983,15589855,15656146,15876837,15897535,16022258,16362499,17435335,17702828,17822199,17883898,18237490,18707826,19077042,19180940,19238863,19472979,20200855,20922402,21045320,21297679,21824383,21884988,22336514,22888940,23017128,23675985,24241026,24807079,24930386,24961539,25109335,25120844,25254384,25509207,25894269,27466728,27484090,27603523,28279363,28411182,28514239,28790679,29395855,29958632,30131202,30428499,30569708,30570979,30619135,30900069,30974007,31177690,32937223,32980908,33167503,33320599,33703461,35187127,35275026,35886920,36008707,36042226,36321043,36417207,36742962,37000652,37413228,38350279,38588439,39852008,39970604,40372785,40399090,41295535,41473183,41838807,41922818,42189884,42245385,42435967,43064304,43082083,43342879,43424935,44833509,45061744,45320119,46459303,46643948,46707823,47090834,47677855,48254866,48447342,48478908,49395778,49554642,49930707,50044533,50292125,50509063,50694462,50757199,51441010,51733352,51849199,52080339,52109922,52199479,52984903,53207143,53373225,53722927,54067388,54464359,54703688,54835298,55229779,55252687,55298307,56121607,56388706,56531587,56931440,57166903,57213426,57973735,58200021,58298146,58932739,59576825,59889740,59993234,60001783,60110679,60350550,60365263,60622810,61541649,61729212,62616488,62720083,62918527,63145292,64008535,64047870,64373920,65147138,65331079,66116935,66499959,67272620,67413223,67621735,68092419,68317728,68656183,69568482,70377799,70443549,70628335,70720879,71271507,71492190,71526344,71671519,71867688,72420660,72747372,73030735,73086019,74308549,76258336,76409359,76629535,76695586,76810242,76857444,77248704,78336140,78932410,78935912,79086703,79185207,79340322,79624135,79647079,79711059,80155759,80467137,80727144,80759410,80781283,80851149,81092863,81146082,82213207,82315855,82640402,83840204,83843602,84754002,84797143,85109750,85605283,85704620,85790628,86236090,86418213,86496535,86716639,86783863,86789505,86904792,87220279,87437402,87636882,88501423,88802901,88823779,89139459,89883610,90207560,90818037,90832423,90856178,91743848,91955442,92136163,92453564,92575472,93067340,93409594,93509383,93666583,94003368,94718892,94965082,95548962,95699623,95725855,96752168,96911292,97104367,97482079,97618892,97767891,97979799,98452543,98779026,98991535,99881335,...,3784294932418851506716691008713283469140373572491466899972389232782561222415005871420839833781624441016538941206932896014363570107586241500768927703105561091556070341240183247724080375634581759529088243159713365451161004504381987912540076089388967224707234535406407335612186600190857198250632708123922824363145957534579695525682511225018256504590140115262712713696030227580235231136797660276724763694132333865327666109537866995619102386877055994551260032125627255132889963687374233701017522151186339398400127829354484059081669522193397438793264256357702754785871922064278859580983404407267861648399006633485786270584446408064595600105823134936944844669558382499024749513805481061232313289982188747811663255204869408423328050036786668618799181576151926889645622125263044438097113835916299368931308597027747487431593938690494771233782396112883030427286599929164805766247360784267390269488079168990787919422161387165818248013571608155378344606359111001198113471184109935992647373459152270139304893212722495174130601276890357947554854441432497545099852553492015135770005627019467726266496846251578994335054261123541301223203367503688648396331484940516930909510027747212974450308553892824749847010022860711742864494021943111083286606618666155928622618860275867119588518094420345275236829002887226162439398415047334384474842929092029397120202478890454115365196741285567805739872782631906842442000817527516266586362992189088308360755763157217700783380248313181176466482397443394080582667835128055520630394700120219991989204636092580179205979668297314867733105085451151741181941051624232646466582146840599748553506412342628318713999898091053020202811938557437175667163866265711833026367395226592875182890237021582968957760864460461167586976168770321127237061167290110327241282156214077007554875980641412303959892271794056136043300939479749786741734635745998884268446001786372661803264200857053433988452480900380433406753535179163306905761731515109105240752672358184430177469057835945760689143628795686160270961241631583799658232675222963521562029593000233553067217545341982370567170352778407651188686759933719532616754769369827254760705229025981071810138154330473306363293489562931070649666544644939600736077608839339988812684247274694904401278662746467690044246872580424065400324315582428757775002651710727891965091374184997360989675150371822232296575215414879699014173848566612271994263350389685232953835963422890889826054565324107841270177456223711893222824155887121020798229457271336251817004206962076949832829291884365771329942855295888056587718841862362081403882626332386954118375491616281900608717302890314317142033118945146949635839083084571686068777530703479145060821910254172355688737036927518675880561381544684389127902353377574340142223721690945968480848014960649599171108509688794485059517439386308493868014268121264315343406041155265137210628081072330218235193975850335431782603401295075859111439160952955385146575505422197026708696179258586128437344432578593375302861960250941515149728231054461649253569600124969096207915193519673277794011428037144571421693447984152498422294968909082668053893919711378256297553172016440873869899978368503424487246095964456478387007114899752470641488940432433541128011790538992746146886330113443273756045981701351573758522670164059190977895760710630021040973587455104996291098490571940767102459194367891659710987179948486873918170576780499290779898573079257677655209898134880029277415027114919498525941336300768830109589493729707492997596553376407497835591373518459064273482973737051634344174916598394432384800625310401984198850058573264611167232007219390410004160444687478600438648313039548285621803696789757257078957643200752108959262005730259456165102622195642423667809323790297676652538916563125971840133854027165678794595955240194006926152219915330020871483457196866203618904989426059889607967430039799656322153767926617337908787791126509796477919276575242881448742716824742421240968472633789170008792502910920214681228893298053856001535629382959563955278194807592831002736341945967286026938965536911631601448598851028450820408407372739657418275182327300287501822944497990023406965346160377880937570968150554523006680916146269457229334469337023243439518730024004225462115896668259102509649041037051728304655149682082978509121541675346244819217085807262156691568019602851414615759320786724125190493036290350432837103089996477604286250234431830344220751313144732495168890290407967056884126363647027773773124465421580700884939384562769404175076051872993028231719006953460499567215125111979909033296878500930375033884394479358312159069807776897896205655120651967034144798626200193471190227352926711747535720302841615849149245061580446319459757829105240700618494276990518462313503543579293381386119007890792104480449834803716058554514511192941343294078534092739267976330832292531383393254240680159743636160929141701659580224197361744277373685462456103627171971464685418263981820279894886}
30978 5605791837584205582168188288998951882446864724778274713946667696459958709908271240289356: {216797,309710,371652,897521,1144817,1268417,1453757,2071037,2995457,3303197,3364721,3918077,4225217,4286621,4578676,4593521,5128238,5320132,5694616,6063857,6406443,6605966,7673368,7712477,8321597,8449886,8625857,8632539,9415997,9719537,10145368,10290206,10628957,10657838,11413539,12261377,12348651,12718852,12804221,12864497,13406621,13459335,13707521,14068337,14356624,14700775,14849117,15084568,15508721,15691143,16151202,16155038,16520366,16645757,16970139,17640930,17839517,18414655,18816992,19148957,19353076,19524376,19980221,20139987,21169116,21460721,21756221,21964923,22097586,22128535,23434238,23484219,23762932,23976175,24033387,24054257,24406721,24943768,25286621,25436056,25606766,25872221,25963972,26213803,26306650,26515457,26554242,26690717,26825847,27274397,27356235,27624221,27896536,28061739,28495406,28611175,28615563,28771410,29020637,29179984,29216126,30528221,30689504,30875357,31015406,31383603,31401055,31453277,31567980,31741937,32321368,32779457,32827482,33282052,33504771,33672512,34012276,34333410,34525692,34870507,35676686,36219137,36361539,36622304,36789617,37395579,37448290,37681266,37881576,38212135,38387572,38779997,39429026,39601838,40174936,40478237,40571332,41200092,41226135,41298676,41380238,41662721,42616773,42731357,42843677,43974544,44858650,44937948,45196803,45266683,45585521,45854562,46087037,46250815,46421021,46693838,46766535,47033368,47865727,48556276,48861437,48990616,49471362,49815010,49884304,49963255,50020721,50569886,51066557,51451252,51623966,51890177,51975038,52164317,52737355,52821437,52912539,53368157,53377886,53804957,53830380,54063339,54622577,54789427,55114443,55275377,55500978,55785076,55827326,56119842,56327180,56631677,56874926,57419072,57519319,57929021,58304935,58414337,58737521,59778012,59812721,59955906,60598635,60617021,60938237,61740017,62273537,62585551,62786846,62884227,63284826,63497597,64596456,64638544,64666690,65087837,65457857,65554526,65899838,66072856,66196721,66245006,66574276,66726044,67196957,67302077,67459697,67584235,67592616,67827197,68089457,68379610,68561021,69068923,69440452,69479896,69554417,69658817,69965922,70636251,70719086,71124163,71164300,71999357,72206621,72382299,72433406,72465521,72671013,72718362,72775838,73550717,73731076,74093667,74331963,74827406,74862175,75207847,75300221,75607997,76041693,76069121,76284568,76325021,77161515,77554766,77600028,77601521,78059837,78164883,78270610,78314177,78822257,78931615,80147572,80275867,80467400,80897021,81003538,81101082,81350657,81652721,82055532,82105277,82252947,82305616,83319806,84090775,84208637,84583059,84658147,84856817,85007486,85397160,85453937,85820139,87447219,88036238,88126721,88569917,88666612,89407930,89601521,89713838,89834610,89989851,90525825,90789892,90934215,91090304,91387838,92092157,92480957,92593818,92757976,92820737,93924732,93968378,94717938,94725038,94947521,95028676,95322920,95428721,95823584,95957117,96055886,96071805,96149021,96560880,96867521,96996496,97154417,97297757,97340386,97720707,97870397,97920175,98108657,98669890,98964737,...,5676442398628277260075036513069925203710560358737200349958583849173841833622508807131259750672436661524808411810399344021545355161379362251153391554658341637334105511860274871586120563451872639293632364739570048176741506756572981868810114134083450837060851803109611003418279900286285797375949062185884236544718936301869543288523766837527384756885210172894069070544045341370352846705196490415087145541198500797991499164306800493428653580315583991826890048188440882699334945531061350551526283226779509097600191744031726088622504283290096158189896384536554132178807883096418289371475106610901792472598509950228679405876669612096893400158734702405417267004337573748537124270708221591848469934973283121717494882807304112634992075055180002928198772364227890334468433187894566657145670753874449053396962895541621231147390908035742156850673594169324545640929899893747208649371041176401085404232118753486181879133242080748727372020357412233067516909538666501797170206776164903988971060188728405208957339819083742761195901915335536921332281662148746317649778830238022703655008440529201589399745269377368491502581391685311951834805051255532972594497227410775396364265041620819461675462830839237124770515034291067614296741032914666624929909927999233892933928290413800679382777141630517912855243504330839243659097622571001576712264393638044095680303718335681173047795111928351708609809173947860263663001226291274399879544488283632462541133644735826551175070372469771764699723596165091120874001752692083280945592050180329987983806954138870268808969502445972301599657628176727611772911577436348969699873220260899622830259618513942478070999847136579530304217907836155763500745799398567749539551092839889312774335355532374453436641296690691751380464253155481690855591750935165490861923234321115511332313970962118455939838407691084204064951409219624680112601953618998326402669002679558992704896301285580150982678721350570650110130302768744960358642597272663657861129008537276645266203586753918641033715443193529240406441862447375699487349012834445282343044389500350329600826318012973555850755529167611476783030139900579298925132154054740882141057843538971607715207231495709959544940234344396605974499816967409401104116413259009983219026370912042356601917994119701535066370308870636098100486473373643136662503977566091837947637061277496041484512725557733348444862823122319548521260772849918407991395025584527849430753945134336334739081847986161761905266184335567839834236233830681531197344185907004377725506310443115424749243937826548656994914282943832084881578262793543122105823939498580431177563237424422850913075954335471475713049678417720424453758624626857529103166296055218717591232865381258533533105555391278013820842072317026583691853530066361510213335582536418952721272022440974398756662764533191727589276159079462740802021402181896473015109061732897705815942121608495327352790963775503147673905101942613788667158741429433077719863258133295540063044268887879192656016648867890062954292940376412272724592346581692473880354400187453644311872790279509916691017142055716857132540171976228747633442453363624002080840879567067384446329758024661310804849967552755136730869143946684717580510672349628705962233410648650311692017685808489119220329495170164910634068972552027360637784005246088786466843641065945031561460381182657494436647735857911150653688791551837489566480769922730310877255865170748936169847859618886516482814847202320043916122540672379247788912004451153245164384240594561239496394830064611246753387060277688596410224460605577451516262374897591648577200937965602976298275087859896916750848010829085615006240667031217900657972469559322428432705545184635885618436464801128163438893008595389184247653933293463635501713985685446514978808374844688957760200781040748518191893932860291010389228329872995031307225185795299305428357484139089834411951145059699484483230651889926006863181686689764694716878914862864322173114075237113631861452708950683755013188754366380322021843339947080784002303444074439345932917292211389246504104512918950929040408448305367447402172898276542676230612611059109486127412773490950431252734416746985035110448019240566821406356452225831784510021374219404185844001704005534865159278095036006338193173845002388653764473561555577592456982724523124467763682312513019367228825628710893235037352029404277121923638981180086187785739554435525649255654634994716406429375351647745516331126969717098742753335435611950585326189545470541660659686698132371051327409076844154106262614077809489542347578510430190749350822687667969863549945317751395562550826591719037468238604711665346844308482680977950551217197939300290206785341029390067621303580454262423773723867592370669479189636743657861050927741415485777693470255315368940072079178511836188156720674752205574087831771766789412014941117801139108901964496248438797075089881361020239615454241393712552489370336296042616416060528193684155440757957197028127395972730419842329}
30979 5622923819038634808274659640713024536417742436098026640901638542283836573172168070922493: {61954,464565,495536,557478,4982789,5723345,6468341,6650165,6714197,6839729,6868014,7118270,7692357,7980198,8541924,8877197,9591710,9908949,10549517,11169701,11510052,11574926,11663249,12562046,12588917,12674829,12681710,13198997,13519469,15218052,15435309,15898565,15986757,16300637,16464868,17042981,17083829,17945780,18502718,18855710,19078278,19737806,19987886,20921524,21534936,21825797,22256549,22626852,23521240,24191345,24192734,24226803,24232557,24405470,24409469,24780549,25532486,26461395,26853316,28225488,28281197,29029614,29286564,29317457,29463448,29703665,30497966,31179710,31312292,31753674,31795070,32044516,32454965,32724998,32939357,33146379,34870670,35151357,35153069,35405656,35454917,35644398,35767796,36474980,36999941,37415652,38154084,38361880,38410149,38477726,38925809,38945958,39326789,39459975,39831363,40401710,41154197,41602565,41844804,42090640,42515345,42595358,42743109,42866789,42924869,43084877,43157115,43648766,43769976,43824189,44673028,45323057,45777880,46034256,46352381,46523109,47137541,47351970,47984465,48482052,49241223,49614158,49860772,49923078,50218670,50241688,50508768,50714165,50915189,51018414,51187037,51500115,51623345,51788538,52202861,53515029,54034109,54906449,54933456,54968180,55207046,56172435,56521899,56558726,56822364,57028478,57121157,57170609,57581358,57813749,58791710,59143539,59218421,59402757,59692529,59917264,60262404,60695345,60794909,60856998,61139416,61141958,61238270,61800138,61948014,62070357,62355380,62724149,62881169,63892421,64139837,64314065,65271557,65874446,65961816,66335006,66641198,66748997,67287975,67406922,68781843,68846429,69698417,69731345,70040757,70374254,70408975,70550052,70725461,71386997,71773840,72017414,72084452,72642086,72834414,73090757,73485924,74001304,74207043,74722515,74826456,75598181,75854829,76700558,76733381,77176878,77209457,77435949,77962557,79704016,79941208,80066829,80745570,80798180,81098117,81163229,81457277,82591070,82946366,83217845,83251467,83377169,83407555,83677614,83740989,83845636,84179763,84379768,84490770,84802637,84871934,85139981,85312389,86128608,86164166,86685758,86789489,86800565,86849870,88391021,88507157,88933589,88955375,89611949,89667018,89933859,90051509,90123488,90640238,91507757,91885349,92163845,92563709,92768957,92918606,93287896,93415646,94180269,94181668,94670429,94713137,94767989,94927239,95355710,95468789,96509732,96894684,96957816,97000035,97488401,98331789,98521949,98791556,98849757,98879669,99109284,99367509,99861414,99952301,...,7568589864837703013433382017426566938280747144982933799944778465565122444830011742841679667563248882033077882413865792028727140215172483001537855406211122183112140682480366495448160751269163519058176486319426730902322009008763975825080152178777934449414469070812814671224373200381714396501265416247845648726291915069159391051365022450036513009180280230525425427392060455160470462273595320553449527388264667730655332219075733991238204773754111989102520064251254510265779927374748467402035044302372678796800255658708968118163339044386794877586528512715405509571743844128557719161966808814535723296798013266971572541168892816129191200211646269873889689339116764998049499027610962122464626579964377495623326510409738816846656100073573337237598363152303853779291244250526088876194227671832598737862617194055494974863187877380989542467564792225766060854573199858329611532494721568534780538976158337981575838844322774331636496027143216310756689212718222002396226942368219871985294746918304540278609786425444990348261202553780715895109708882864995090199705106984030271540011254038935452532993692503157988670108522247082602446406735007377296792662969881033861819020055494425948900617107785649499694020045721423485728988043886222166573213237332311857245237720551734239177036188840690550473658005774452324878796830094668768949685858184058794240404957780908230730393482571135611479745565263813684884001635055032533172725984378176616721511526314435401566760496626362352932964794886788161165335670256111041260789400240439983978409272185160358411959336594629735466210170902303482363882103248465292933164293681199497107012824685256637427999796182106040405623877114874351334327732531423666052734790453185750365780474043165937915521728920922335173952337540642254474122334580220654482564312428154015109751961282824607919784543588112272086601878959499573483469271491997768536892003572745323606528401714106867976904961800760866813507070358326613811523463030218210481505344716368860354938115671891521378287257591372320541922483263167599316465350445927043124059186000467106134435090683964741134340705556815302377373519867439065233509538739654509521410458051962143620276308660946612726586979125862141299333089289879201472155217678679977625368494549389808802557325492935380088493745160848130800648631164857515550005303421455783930182748369994721979350300743644464593150430829759398028347697133224543988526700779370465907671926845781779652109130648215682540354912447423786445648311774242041596458914542672503634008413924153899665658583768731542659885710591776113175437683724724162807765252664773908236750983232563801217434605780628634284066237890293899271678166169143372137555061406958290121643820508344711377474073855037351761122763089368778255804706755148680284447443381891936961696029921299198342217019377588970119034878772616987736028536242528630686812082310530274421256162144660436470387951700670863565206802590151718222878321905910770293151010844394053417392358517172256874688865157186750605723920501883030299456462108923298507139200249938192415830387039346555588022856074289142843386895968304996844589937818165336107787839422756512595106344032881747739799956737006848974492191928912956774014229799504941282977880864867082256023581077985492293772660226886547512091963402703147517045340328118381955791521421260042081947174910209992582196981143881534204918388735783319421974359896973747836341153560998581559797146158515355310419796269760058554830054229838997051882672601537660219178987459414985995193106752814995671182747036918128546965947474103268688349833196788864769601250620803968397700117146529222334464014438780820008320889374957200877296626079096571243607393579514514157915286401504217918524011460518912330205244391284847335618647580595353305077833126251943680267708054331357589191910480388013852304439830660041742966914393732407237809978852119779215934860079599312644307535853234675817575582253019592955838553150485762897485433649484842481936945267578340017585005821840429362457786596107712003071258765919127910556389615185662005472683891934572053877931073823263202897197702056901640816814745479314836550364654600575003645888995980046813930692320755761875141936301109046013361832292538914458668938674046486879037460048008450924231793336518205019298082074103456609310299364165957018243083350692489638434171614524313383136039205702829231518641573448250380986072580700865674206179992955208572500468863660688441502626289464990337780580815934113768252727294055547546248930843161401769878769125538808350152103745986056463438013906920999134430250223959818066593757001860750067768788958716624318139615553795792411310241303934068289597252400386942380454705853423495071440605683231698298490123160892638919515658210481401236988553981036924627007087158586762772238015781584208960899669607432117109029022385882686588157068185478535952661664585062766786508481360319487272321858283403319160448394723488554747370924912207254343942929370836527963640559789772}
30980 5640107857274782571883027178187257756866829749389905427547068488539665174118131190574156: {92931,433594,619420,743304,836217,959419,1330291,1795042,2289634,2536834,2907514,3364939,3918331,4142074,4286899,4655179,5023171,5990914,6125419,6606394,6729442,6858811,7836154,8450434,8504731,8573242,8687251,9157352,9187042,10144819,10256476,10302021,10326691,10640264,10677405,10690219,11389232,11970297,12127714,12812886,12865339,13211932,14129371,14387565,14850091,15346736,15424954,16643194,16899772,17251714,17265078,17362389,17542531,18614971,18831994,18843069,19022565,19439074,20040859,20290736,20396611,20580412,20581085,21257914,21315676,21462139,21993931,22348099,22432225,22827078,22878811,23232259,24467059,24522754,24697302,25437704,25608442,25728994,25780517,26151905,26400331,26575651,26813242,26918670,27415042,27754077,28136674,28283565,28617417,28713248,29022571,29401550,29606709,29698234,29719099,29893051,29981829,30169136,30588139,30935251,30979949,31017442,31382286,31801771,32302404,32310076,33040732,33291514,33356971,33566645,33701779,33940278,35281860,35679034,36289101,36608205,36829310,37633984,38297914,38298729,38498851,38706152,39048752,39140365,39960442,40055645,40279974,40876219,41383819,42338232,42902731,42921442,43512442,43544421,43929846,43961477,44195172,44257070,44709745,45421291,45593725,45746949,46424179,46769565,46868476,46924651,46968438,47525864,47630511,47692605,47952350,48066774,48108514,48813442,48920059,49087497,49582891,49887536,50573242,50872112,51213532,51399739,51744442,51927944,52222699,52306005,52427606,52551379,52613300,53030914,53108484,53381434,53466597,53496989,53651694,54548794,54680779,54712470,55248442,55793072,55841285,56123478,56990812,57222350,57231126,57542820,57716589,58041274,58359968,58418937,58432252,59387131,60602565,60995971,61056442,61379008,61637491,61750714,61797691,62030812,62325965,62767206,62802110,62906554,63135960,63483874,63645637,63873739,63893037,64642736,64668979,64751141,65145259,65473149,65558914,65654964,65779291,66254059,66564104,67009542,67345024,67977377,67989331,68024552,68146651,68303899,68666820,68710225,69051384,69741014,69948557,70341571,71027955,71277931,71353372,72438274,72522379,72723078,73244608,73579234,73607491,73832297,74421237,74791158,74884617,74896580,75328005,75362532,75613339,75763152,75920851,76424270,76527621,76775144,77559994,77682807,77944225,78827851,78858052,79203676,80347411,80349872,80956474,81142664,81626909,82400184,82452270,82597352,82760476,82763731,82810569,83325442,84055829,84414259,84838089,84862891,85233546,85460059,85462714,85542717,85687354,85907179,86372037,87949088,87985171,88187565,88428619,88576291,88882001,89313571,89607979,89717300,89875896,90105565,90393606,90533366,91171042,91285497,91514611,91709124,91712937,91857405,92174074,92501630,92700207,92842042,92922021,93387676,93533070,94066736,94617929,95731454,96156019,97112552,97722874,97877539,97981232,98163451,98811669,98876971,98942724,99502509,99588691,99630020,99768608,99926510,99961797,...,11352884797256554520150073026139850407421120717474400699917167698347683667245017614262519501344873323049616823620798688043090710322758724502306783109316683274668211023720549743172241126903745278587264729479140096353483013513145963737620228268166901674121703606219222006836559800572571594751898124371768473089437872603739086577047533675054769513770420345788138141088090682740705693410392980830174291082397001595982998328613600986857307160631167983653780096376881765398669891062122701103052566453559018195200383488063452177245008566580192316379792769073108264357615766192836578742950213221803584945197019900457358811753339224193786800317469404810834534008675147497074248541416443183696939869946566243434989765614608225269984150110360005856397544728455780668936866375789133314291341507748898106793925791083242462294781816071484313701347188338649091281859799787494417298742082352802170808464237506972363758266484161497454744040714824466135033819077333003594340413552329807977942120377456810417914679638167485522391803830671073842664563324297492635299557660476045407310016881058403178799490538754736983005162783370623903669610102511065945188994454821550792728530083241638923350925661678474249541030068582135228593482065829333249859819855998467785867856580827601358765554283261035825710487008661678487318195245142003153424528787276088191360607436671362346095590223856703417219618347895720527326002452582548799759088976567264925082267289471653102350140744939543529399447192330182241748003505384166561891184100360659975967613908277740537617939004891944603199315256353455223545823154872697939399746440521799245660519237027884956141999694273159060608435815672311527001491598797135499079102185679778625548670711064748906873282593381383502760928506310963381711183501870330981723846468642231022664627941924236911879676815382168408129902818439249360225203907237996652805338005359117985409792602571160301965357442701141300220260605537489920717285194545327315722258017074553290532407173507837282067430886387058480812883724894751398974698025668890564686088779000700659201652636025947111701511058335222953566060279801158597850264308109481764282115687077943215430414462991419919089880468688793211948999633934818802208232826518019966438052741824084713203835988239403070132740617741272196200972946747286273325007955132183675895274122554992082969025451115466696889725646244639097042521545699836815982790051169055698861507890268672669478163695972323523810532368671135679668472467661363062394688371814008755451012620886230849498487875653097313989828565887664169763156525587086244211647878997160862355126474848845701826151908670942951426099356835440848907517249253715058206332592110437435182465730762517067066211110782556027641684144634053167383707060132723020426671165072837905442544044881948797513325529066383455178552318158925481604042804363792946030218123465795411631884243216990654705581927551006295347810203885227577334317482858866155439726516266591080126088537775758385312033297735780125908585880752824545449184693163384947760708800374907288623745580559019833382034284111433714265080343952457495266884906727248004161681759134134768892659516049322621609699935105510273461738287893369435161021344699257411924466821297300623384035371616978238440658990340329821268137945104054721275568010492177572933687282131890063122920762365314988873295471715822301307377583103674979132961539845460621754511730341497872339695719237773032965629694404640087832245081344758495577824008902306490328768481189122478992789660129222493506774120555377192820448921211154903032524749795183297154401875931205952596550175719793833501696021658171230012481334062435801315944939118644856865411090369271771236872929602256326877786017190778368495307866586927271003427971370893029957616749689377915520401562081497036383787865720582020778456659745990062614450371590598610856714968278179668823902290119398968966461303779852013726363373379529389433757829725728644346228150474227263722905417901367510026377508732760644043686679894161568004606888148878691865834584422778493008209025837901858080816896610734894804345796553085352461225222118218972254825546981900862505468833493970070220896038481133642812712904451663569020042748438808371688003408011069730318556190072012676386347690004777307528947123111155184913965449046248935527364625026038734457651257421786470074704058808554243847277962360172375571479108871051298511309269989432812858750703295491032662253939434197485506670871223901170652379090941083321319373396264742102654818153688308212525228155618979084695157020860381498701645375335939727099890635502791125101653183438074936477209423330693688616965361955901102434395878600580413570682058780135242607160908524847547447735184741338958379273487315722101855482830971555386940510630737880144158357023672376313441349504411148175663543533578824029882235602278217803928992496877594150179762722040479230908482787425104978740672592085232832121056387368310881515914394056254791945460839684658}
30981 5657344109562015397710364305076563629615644658411912858346224048406653771018626973486718: {123908,650391,774275,929130,991072,1114956,2692563,3434451,3805251,4361271,6213111,7644403,8012683,8986371,9310231,9870179,9909591,9965578,10094163,11446690,11754231,12097931,12467611,12675651,12820595,12859863,12936682,13300330,13428394,13679458,13736028,13780563,14236540,14877811,15384714,15960396,16514915,17083848,17754394,18191571,18218359,19183420,19219329,19817898,20061239,21099034,21124715,22257991,22339402,23020104,23137431,23149852,23326498,24964791,25124092,25177834,25349658,25363420,25725515,25877571,25897617,26397994,26644595,27038938,27850811,28247991,29158611,30232499,30436104,30870618,31797130,31886871,31973514,32601274,32929736,33414791,33867883,34085962,34167658,34240617,34295459,35891560,36753179,36784131,37005436,37045953,37287851,37711420,38156556,38412663,38593491,38928331,39475612,39975772,40219863,40378005,40387595,41122563,41300915,41585131,41843048,42205011,43069872,43573091,43651594,43727203,44102325,44438999,44513098,44547351,45253704,45436951,46526163,47042480,47073429,48382690,48385468,48453606,48465114,48810940,48818938,49561098,49937271,50910417,50918491,51064972,52857923,52922790,53518551,53706632,55243965,55708003,56450976,56562394,56585111,57446871,58059228,58243591,58573128,58585595,58634914,58926896,59264771,59407330,59521483,59530811,59940663,60391063,60419961,60493771,60995932,62359420,62624584,63188843,63507348,63583979,63590140,63896563,64016915,64089032,64382163,64909930,65268663,65449996,65766625,65878714,65894769,66292758,66385605,66685091,67178251,69741340,70302714,70306138,70452657,70811312,70909834,70999831,71238515,71288796,71535592,71928525,72100161,72162771,72272683,72949960,73040315,73220163,73999882,74301683,74701139,74831304,75603079,75859863,75924311,76308168,76723760,76820298,76924571,76955452,77538515,77616663,77851618,77891916,78641409,78653578,78919950,79546371,79662726,80072151,80477541,80803420,81823191,82068705,82308394,82872663,83205130,83382571,83689608,84181280,84185217,84366451,84973483,85030690,85190716,85486218,85733578,85833525,85846689,85849738,86169754,86314230,86825651,87061911,87297532,87539952,87648378,88835351,88939351,89191715,89346056,89859659,90039691,90362579,90646114,91555760,91584663,92068512,92626071,92704762,92774971,93046218,93620725,94150809,94203165,94275082,94359831,94703940,94859699,95225811,95968930,96267691,96527363,96964104,97623883,98338371,98482446,98572565,98871971,99004595,99228316,99721544,99846156,99919931,...,17029327195884831780225109539209775611131681076211601049875751547521525500867526421393779252017309984574425235431198032064636065484138086753460174663975024912002316535580824614758361690355617917880897094218710144530224520269718945606430342402250352511182555409328833010254839700858857392127847186557652709634156808905608629865571300512582154270655630518682207211632136024111058540115589471245261436623595502393974497492920401480285960740946751975480670144565322648098004836593184051654578849680338527292800575232095178265867512849870288474569689153609662396536423649289254868114425319832705377417795529850686038217630008836290680200476204107216251801013012721245611372812124664775545409804919849365152484648421912337904976225165540008784596317092683671003405299563683699971437012261623347160190888686624863693442172724107226470552020782507973636922789699681241625948113123529203256212696356260458545637399726242246182116061072236699202550728615999505391510620328494711966913180566185215626872019457251228283587705746006610763996844986446238952949336490714068110965025321587604768199235808132105474507744175055935855504415153766598917783491682232326189092795124862458385026388492517711374311545102873202842890223098743999874789729783997701678801784871241402038148331424891553738565730512992517730977292867713004730136793180914132287040911155007043519143385335785055125829427521843580790989003678873823199638633464850897387623400934207479653525211117409315294099170788495273362622005258076249842836776150540989963951420862416610806426908507337916904798972884530182835318734732309046909099619660782698868490778855541827434212999541409738590912653723508467290502237398195703248618653278519667938323006066597123360309923890072075254141392759466445072566775252805496472585769702963346533996941912886355367819515223073252612194854227658874040337805860856994979208007008038676978114688903856740452948036164051711950330390908306234881075927791817990973583387025611829935798610760261755923101146329580587721219325587342127098462047038503335847029133168501050988802478954038920667552266587502834430349090419701737896775396462164222646423173530616914823145621694487129878634820703033189817923499450902228203312349239777029949657079112736127069805753982359104605199110926611908294301459420120929409987511932698275513842911183832488124453538176673200045334588469366958645563782318549755223974185076753583548292261835403009004217245543958485285715798553006703519502708701492044593592032557721013133176518931329346274247731813479645970984742848831496254644734788380629366317471818495741293532689712273268552739227863006414427139149035253161273361275873880572587309498888165656152773698596143775600599316666173834041462526216951079751075560590199084530640006747609256858163816067322923196269988293599575182767828477238388222406064206545689419045327185198693117447826364825485982058372891326509443021715305827841366001476224288299233159589774399886620189132806663637577968049946603670188862878821129236818173777039745077421641063200562360932935618370838529750073051426167150571397620515928686242900327360090872006242522638701202153338989274073983932414549902658265410192607431840054152741532017048886117886700231945950935076053057425467357660988485510494731902206917656082081913352015738266359400530923197835094684381143547972483309943207573733451961066374655512468699442309768190932631767595512246808509543578856659549448444541606960131748367622017137743366736013353459735493152721783683718489184490193833740260161180833065789230673381816732354548787124692774945731602813896808928894825263579690750252544032487256845018722001093653701973917408677967285298116635553907656855309394403384490316679025786167552742961799880390906505141957056339544936425124534066873280602343122245554575681798580873031167684989618985093921675557385897916285072452417269503235853435179098453449691955669778020589545060069294084150636744588592966519342225711340895584358126852051265039566263099140966065530019841242352006910332223318037798751876634167739512313538756852787121225344916102342206518694829628028691837833177328458382238320472851293758203250240955105331344057721700464219069356677495353530064122658212557532005112016604595477834285108019014579521535007165961293420684666732777370948173569373403291046937539058101686476886132679705112056088212831365770916943540258563357218663306576947766963904984149219288126054943236548993380909151296228260006306835851755978568636411624981979060094397113153982227230532462318787842233428468627042735531290572248052468063003909590649835953254186687652479775157112404715814134996040532925448042933851653651593817900870620356023088170202863910741362787271321171602777112008437568910230973583152783224246457333080410765946106820216237535535508564470162024256616722263495315300368236044823353403417326705893488745316391225269644083060718846362724181137657468111008888127849248181584581052466322273871591084382187918191259526987}
30982 5674632733642095734218807641667060192063784130816123073675225537725114219631409561067325: {154885,185862,340681,867188,1238840,1268581,1393695,1486608,1672434,1918838,2194681,2660582,2749477,3118981,3488197,3590084,4041481,4579268,5073668,5329957,5513737,5815028,6729878,7836662,8261797,8284148,8573798,8991877,9310358,9538681,10046342,11900677,11981828,12250838,13212788,13458884,13528777,13717622,14948367,14971081,15672308,16900868,17009462,17146484,17170035,17374502,17795675,18020677,18314704,18374084,19405023,19448581,19950495,19982857,20142591,20289638,20512952,20519187,20604042,20653382,21280528,21354810,21380438,22778464,23077071,23940594,23979275,24255428,24762181,25625772,25730678,25992697,26423864,26631591,27394681,28258742,28617637,28775130,28813519,28937315,29140681,29700182,29726847,30693472,30849908,31405115,31648551,31704275,31746181,32956537,33129157,33286388,33509103,33799544,34503428,34530156,34679497,34724778,34989747,35085062,35538277,36395257,36566437,36612667,37229942,37421257,37663988,37686138,37766751,38024487,38045130,38878148,39125497,39596991,40081718,40558407,40581472,40793222,41160824,41162170,41193119,41668357,42515828,42631352,42849481,42924278,43690981,43987862,44195017,44696198,44864450,45654156,45703237,45757622,45870457,46204681,46256795,46305927,46464518,46538617,46993303,47139275,47538697,47695695,47960271,48901911,48934118,49045508,49344515,49394604,49969715,50875408,51128943,51216884,51251487,51457988,51561034,52303810,52800662,53151302,53626484,53837340,54796511,54830084,55508154,56077903,56273348,56567130,56585317,57234757,57234834,57426496,58044937,58045142,58803100,59213418,59396468,59438198,59786102,59963658,60142981,60338272,60481835,60946681,61013675,61176278,61870502,61959898,62034884,62593643,62764572,63603542,63831215,64604808,64620152,65477391,66081464,66583028,66713942,66769647,66838117,66995977,67133290,67311481,67403558,67880556,68884681,69198457,69668581,70563720,71133359,71358068,72320377,72475717,72574035,72578202,72680409,72697671,73216410,73228407,73251337,73658620,74341647,74642917,75217571,75267968,75413497,76182277,76244915,76335817,76595828,76597458,76997702,77412304,77714437,77949275,78097504,78177799,78280730,78934981,79384185,79391497,79487675,79920884,80111290,80559948,81752438,81812495,82767638,83020297,83921017,84676464,84843591,84968581,85805462,85842884,86097671,86161477,87024884,87088842,87176675,87256351,87859692,87922954,87952371,88390344,88514140,88681081,88976137,89110995,89123557,89419490,90842582,91187450,91493898,92056837,92848358,93076681,93539130,93736952,93849302,93936876,95051728,95261022,95385210,95904700,96133548,96194315,96217028,96977317,97364895,97626884,97840118,98174994,98348723,98818071,99165782,99338707,99439137,99775072,...,22705769594513109040300146052279700814842241434948801399834335396695367334490035228525039002689746646099233647241597376086181420645517449004613566218633366549336422047441099486344482253807490557174529458958280192706966027026291927475240456536333803348243407212438444013673119601145143189503796248743536946178875745207478173154095067350109539027540840691576276282176181365481411386820785961660348582164794003191965996657227201973714614321262335967307560192753763530797339782124245402206105132907118036390400766976126904354490017133160384632759585538146216528715231532385673157485900426443607169890394039800914717623506678448387573600634938809621669068017350294994148497082832886367393879739893132486869979531229216450539968300220720011712795089456911561337873732751578266628582683015497796213587851582166484924589563632142968627402694376677298182563719599574988834597484164705604341616928475013944727516532968322994909488081429648932270067638154666007188680827104659615955884240754913620835829359276334971044783607661342147685329126648594985270599115320952090814620033762116806357598981077509473966010325566741247807339220205022131890377988909643101585457060166483277846701851323356948499082060137164270457186964131658666499719639711996935571735713161655202717531108566522071651420974017323356974636390490284006306849057574552176382721214873342724692191180447713406834439236695791441054652004905165097599518177953134529850164534578943306204700281489879087058798894384660364483496007010768333123782368200721319951935227816555481075235878009783889206398630512706910447091646309745395878799492881043598491321038474055769912283999388546318121216871631344623054002983197594270998158204371359557251097341422129497813746565186762767005521857012621926763422367003740661963447692937284462045329255883848473823759353630764336816259805636878498720450407814475993305610676010718235970819585205142320603930714885402282600440521211074979841434570389090654631444516034149106581064814347015674564134861772774116961625767449789502797949396051337781129372177558001401318403305272051894223403022116670445907132120559602317195700528616218963528564231374155886430860828925982839838179760937377586423897999267869637604416465653036039932876105483648169426407671976478806140265481235482544392401945893494572546650015910264367351790548245109984165938050902230933393779451292489278194085043091399673631965580102338111397723015780537345338956327391944647047621064737342271359336944935322726124789376743628017510902025241772461698996975751306194627979657131775328339526313051174172488423295757994321724710252949697691403652303817341885902852198713670881697815034498507430116412665184220874870364931461525034134132422221565112055283368289268106334767414120265446040853342330145675810885088089763897595026651058132766910357104636317850963208085608727585892060436246931590823263768486433981309411163855102012590695620407770455154668634965717732310879453032533182160252177075551516770624066595471560251817171761505649090898369386326769895521417600749814577247491161118039666764068568222867428530160687904914990533769813454496008323363518268269537785319032098645243219399870211020546923476575786738870322042689398514823848933642594601246768070743233956476881317980680659642536275890208109442551136020984355145867374564263780126245841524730629977746590943431644602614755166207349958265923079690921243509023460682995744679391438475546065931259388809280175664490162689516991155648017804612980657536962378244957985579320258444987013548241110754385640897842422309806065049499590366594308803751862411905193100351439587667003392043316342460024962668124871602631889878237289713730822180738543542473745859204512653755572034381556736990615733173854542006855942741786059915233499378755831040803124162994072767575731441164041556913319491980125228900743181197221713429936556359337647804580238797937932922607559704027452726746759058778867515659451457288692456300948454527445810835802735020052755017465521288087373359788323136009213776297757383731669168845556986016418051675803716161633793221469789608691593106170704922450444236437944509651093963801725010937666987940140441792076962267285625425808903327138040085496877616743376006816022139460637112380144025352772695380009554615057894246222310369827930898092497871054729250052077468915302514843572940149408117617108487694555924720344751142958217742102597022618539978865625717501406590982065324507878868394971013341742447802341304758181882166642638746792529484205309636307376616425050456311237958169390314041720762997403290750671879454199781271005582250203306366876149872954418846661387377233930723911802204868791757201160827141364117560270485214321817049695094895470369482677916758546974631444203710965661943110773881021261475760288316714047344752626882699008822296351327087067157648059764471204556435607857984993755188300359525444080958461816965574850209957481345184170465664242112774736621763031828788112509583890921679369316}
30983 5691973887730592740703785020064279697372071721740780931623591061432752042970846079237915: {30983,247816,278793,1083985,1300782,1548550,1858260,1982144,2229912,2508651,2878257,3990873,4487605,5385126,5724085,6342085,6868902,7268785,7610502,7830097,8722542,8944261,10094817,10355185,10550881,11664757,11754993,12426222,12860697,13521217,13949881,13965537,14977285,15069513,15251941,15288806,16025366,16365673,16515985,16823605,17948833,17972742,18376257,18620462,19590385,19740358,19819182,19931156,20188326,20576433,20630977,20741281,21126085,21433105,22893380,22967605,23120881,23508462,23708737,24195862,24935222,25351302,25514193,25641190,25719726,25873364,26061753,26600660,26846017,26856788,27358916,27472056,27561126,28473080,29574601,29755622,30319285,30434457,30769428,30906063,30980073,31127377,31920792,32032215,32070657,33029830,34167696,34297681,34974577,35508788,35729317,35910891,36015721,36383142,36436718,37302433,38338213,38357737,38366840,38438658,38546017,38562385,38596017,39287881,39635796,40122478,40530997,41607985,41674657,42198068,42249430,42388113,43129285,43162695,44441881,44515982,44550273,44678804,46040208,46274862,46299704,46652996,47079985,47606113,48597685,48699337,49929582,50248184,50355668,50699316,50726840,50902981,51451030,51755142,51795234,52087167,52518817,52627593,52795988,53144785,53289190,54077876,54649717,55240537,55701622,55844913,56110777,56132521,56495982,56503297,56529207,56542633,57067695,57821281,58317222,59268613,60122577,60464998,60581173,60872208,61189833,61306885,61741236,61743255,62434753,63192937,63594260,63773742,63947028,64021105,64322485,64386417,64670881,65202548,65375077,65859472,65981793,66237097,66581401,66829582,66873313,67033105,67044297,67296675,67362097,67735766,67969081,68171924,68335316,68481234,68537605,68590918,68636433,69696777,70341685,71685457,71783120,71800741,73401177,73503875,73506358,73568262,74010872,74091906,74245585,74306497,74575702,75422840,75929233,76313112,76825326,77186982,77233381,77341551,77343457,77543605,77856662,78059461,78345097,78455715,78809653,78951224,79200993,79425937,79726953,79951544,80439726,80756010,80775190,82019833,82229221,82245126,82601830,83170262,83228785,83262231,83686096,84410022,84850695,85355113,85852251,86139744,87067713,87146182,87303188,87454406,88204650,88820127,88877998,89026196,89094702,89157297,89197585,89623681,89679153,89865481,89945487,90368437,90507408,90850177,90873902,91764417,92073275,92151937,92390917,92805753,92887777,92939847,93052326,94084960,94146858,94243057,95405313,95534857,95744785,96533617,96594481,96765380,96770936,96907212,96930228,97206481,97621880,97637876,99122196,99733921,99799477,99874542,99901105,...,34058654391769663560450219078419551222263362152423202099751503095043051001735052842787558504034619969148850470862396064129272130968276173506920349327950049824004633071161649229516723380711235835761794188437420289060449040539437891212860684804500705022365110818657666020509679401717714784255694373115305419268313617811217259731142601025164308541311261037364414423264272048222117080231178942490522873247191004787948994985840802960571921481893503950961340289130645296196009673186368103309157699360677054585601150464190356531735025699740576949139378307219324793072847298578509736228850639665410754835591059701372076435260017672581360400952408214432503602026025442491222745624249329551090819609839698730304969296843824675809952450331080017569192634185367342006810599127367399942874024523246694320381777373249727386884345448214452941104041565015947273845579399362483251896226247058406512425392712520917091274799452484492364232122144473398405101457231999010783021240656989423933826361132370431253744038914502456567175411492013221527993689972892477905898672981428136221930050643175209536398471616264210949015488350111871711008830307533197835566983364464652378185590249724916770052776985035422748623090205746405685780446197487999749579459567995403357603569742482804076296662849783107477131461025985035461954585735426009460273586361828264574081822310014087038286770671570110251658855043687161581978007357747646399277266929701794775246801868414959307050422234818630588198341576990546725244010516152499685673552301081979927902841724833221612853817014675833809597945769060365670637469464618093818199239321565397736981557711083654868425999082819477181825307447016934581004474796391406497237306557039335876646012133194246720619847780144150508282785518932890145133550505610992945171539405926693067993883825772710735639030446146505224389708455317748080675611721713989958416014016077353956229377807713480905896072328103423900660781816612469762151855583635981947166774051223659871597221520523511846202292659161175442438651174684254196924094077006671694058266337002101977604957908077841335104533175005668860698180839403475793550792924328445292846347061233829646291243388974259757269641406066379635846998901804456406624698479554059899314158225472254139611507964718209210398221853223816588602918840241858819975023865396551027685822367664976248907076353346400090669176938733917291127564637099510447948370153507167096584523670806018008434491087916970571431597106013407039005417402984089187184065115442026266353037862658692548495463626959291941969485697662992509289469576761258732634943636991482587065379424546537105478455726012828854278298070506322546722551747761145174618997776331312305547397192287551201198633332347668082925052433902159502151121180398169061280013495218513716327632134645846392539976587199150365535656954476776444812128413091378838090654370397386234895652729650971964116745782653018886043430611655682732002952448576598466319179548799773240378265613327275155936099893207340377725757642258473636347554079490154843282126401124721865871236741677059500146102852334301142795241031857372485800654720181744012485045277402404306677978548147967864829099805316530820385214863680108305483064034097772235773400463891901870152106114850934715321976971020989463804413835312164163826704031476532718801061846395670189368762287095944966619886415147466903922132749311024937398884619536381865263535191024493617019087157713319098896889083213920263496735244034275486733472026706919470986305443567367436978368980387667480520322361666131578461346763633464709097574249385549891463205627793617857789650527159381500505088064974513690037444002187307403947834817355934570596233271107815313710618788806768980633358051572335105485923599760781813010283914112679089872850249068133746561204686244491109151363597161746062335369979237970187843351114771795832570144904834539006471706870358196906899383911339556041179090120138588168301273489177185933038684451422681791168716253704102530079132526198281932131060039682484704013820664446636075597503753268335479024627077513705574242450689832204684413037389659256057383675666354656916764476640945702587516406500481910210662688115443400928438138713354990707060128245316425115064010224033209190955668570216038029159043070014331922586841369333465554741896347138746806582093875078116203372953772265359410224112176425662731541833887080517126714437326613153895533927809968298438576252109886473097986761818302592456520012613671703511957137272823249963958120188794226307964454461064924637575684466856937254085471062581144496104936126007819181299671906508373375304959550314224809431628269992081065850896085867703307303187635801741240712046176340405727821482725574542642343205554224016875137820461947166305566448492914666160821531892213640432475071071017128940324048513233444526990630600736472089646706806834653411786977490632782450539288166121437692725448362275314936222017776255698496363169162104932644547743182168764375836382519053974}
30984 5709367730518297263362950959456142954792722145282796867159869940381554415627395501524955: {216839,309770,371724,402623,681362,1330463,1454039,1639343,1734376,1951173,2256503,2322825,2477680,2537162,2787390,2973216,3180743,3344868,3488423,3837676,4041743,4389362,5146439,5321164,5498954,5575343,6237962,6493103,6976394,6981839,7180168,7896839,8077689,8082962,8323223,8505839,8627543,9158536,9417839,9600023,10147336,10303353,10631039,10659914,10812743,11027474,11415753,11630056,13083813,13168343,13459756,14251439,14852039,14972063,15673324,16523594,16568296,16947839,17147596,17983754,18021863,18620716,18639333,18736439,19077362,19509263,20043503,20092684,20517839,20932463,22469063,22933209,22999703,23353103,23765039,23801354,23963656,24038049,24059039,24501676,24822503,24913945,26425576,26520743,26696039,26917768,26959113,27057554,27435244,27930693,28154039,28616725,29142623,29610537,29728773,29896734,29942162,30282489,31344616,31806023,32341705,32958743,33250825,33361439,33570985,33801736,34018924,34198645,34292968,34337783,34340070,34749004,35197343,35262693,35591350,36041354,36293793,36397703,36625943,36629408,36748168,37402833,38026953,38461785,38579589,38617583,38810046,38897162,39184823,39900990,39965714,40285182,40512241,40579276,40655903,41025904,41038374,41208084,41306764,41341689,42561056,42709620,42740039,42760876,42908543,43749983,43967161,44385985,44533703,44633433,45092543,45556928,46154142,46541783,46931039,47042183,47597423,47881188,47958550,48041039,48510856,48594839,48682777,49524362,49544745,49700039,50691983,50912063,51241943,51251544,51461356,51900839,51985394,52065383,52747585,52832303,52847728,53263182,53379143,53816039,54197903,54574713,54655077,54789362,55449839,55848505,56517484,56643383,57235274,57550260,57627038,57657987,57874630,58281362,58316245,59400364,59453694,59664023,60183717,60200783,61004423,61386944,61699816,61752863,62810230,62944585,63297102,63374145,63408550,63492362,63670223,64759513,65260103,65471543,65630039,65894039,65913074,65994985,66258314,66572776,66773973,67018206,67053263,67473839,67597345,67599088,67998839,68103743,68418263,68889503,69006856,69060312,69082321,69358994,69412293,69449556,69569039,69830039,69957601,69979494,70170124,70351439,71076554,71755223,72532583,72790514,73132874,73225334,73566263,74459884,74648183,74842514,74894373,75327976,75372276,75533502,75777839,76034039,76048974,76090260,76545839,77176545,77632713,77692851,77756296,78250994,78940583,78991343,79193982,79492825,79751783,79933785,80163436,80459903,81116039,81116814,81162944,81368039,81503185,81519143,81586444,82122839,82321648,82324340,82386238,82775543,82875839,83336714,83552433,83976983,84066697,84526103,84674569,84743973,84875039,84974663,85031656,85214905,85262704,85419145,85621439,85698962,85848556,86018783,87356039,87381962,87475833,87975724,88096439,88390034,88441343,88687463,88893493,89326439,89363701,89392396,89424623,89728900,90159983,90697497,91308312,91406474,91515244,91740914,92112143,92409362,92513590,92611854,92929036,93077234,93131903,93986606,94278550,94582583,95077394,95160839,95391390,95660613,95920542,96840839,97319039,97557839,97803822,97868236,98091016,98689030,98789208,98986439,99128903,99939430,...,51087981587654495340675328617629326833395043228634803149627254642564576502602579264181337756051929953723275706293594096193908196452414260260380523991925074736006949606742473844275085071066853753642691282656130433590673560809156836819291027206751057533547666227986499030764519102576572176383541559672958128902470426716825889596713901537746462811966891556046621634896408072333175620346768413735784309870786507181923492478761204440857882222840255926442010433695967944294014509779552154963736549041015581878401725696285534797602538549610865423709067460828987189609270947867764604343275959498116132253386589552058114652890026508872040601428612321648755403039038163736834118436373994326636229414759548095457453945265737013714928675496620026353788951278051013010215898691051099914311036784870041480572666059874591080326518172321679411656062347523920910768369099043724877844339370587609768638089068781375636912199178726738546348183216710097607652185847998516174531860985484135900739541698555646880616058371753684850763117238019832291990534959338716858848009472142204332895075964762814304597707424396316423523232525167807566513245461299796753350475046696978567278385374587375155079165477553134122934635308619608528670669296231999624369189351993105036405354613724206114444994274674661215697191538977553192931878603139014190410379542742396861122733465021130557430156007355165377488282565530742372967011036621469598915900394552692162870202802622438960575633352227945882297512365485820087866015774228749528510328451622969891854262587249832419280725522013750714396918653590548505956204196927140727298858982348096605472336566625482302638998624229215772737961170525401871506712194587109745855959835559003814969018199791370080929771670216225762424178278399335217700325758416489417757309108890039601990825738659066103458545669219757836584562682976622121013417582570984937624021024116030934344066711570221358844108492155135850991172724918704643227783375453972920750161076835489807395832280785267769303438988741763163657976762026381295386141115510007541087399505503152966407436862116762002656799762508503291047271259105213690326189386492667939269520591850744469436865083461389635904462109099569453770498352706684609937047719331089848971237338208381209417261947077313815597332779835724882904378260362788229962535798094826541528733551497464373360614530019600136003765408100875936691346955649265671922555230260750644876785506209027012651736631875455857147395659020110558508126104476133780776097673163039399529556793988038822743195440438937912954228546494488763934204365141888098952415455487223880598069136819805658217683589019243281417447105759483820083827621641717761928496664496968458321095788431326801797949998521502124387578650853239253226681770597253591920020242827770574491448201968769588809964880798725548303485431715164667218192619637068257135981555596079352343479094476457946175118673979528329065145917483524098004428672864897699478769323199659860567398419990912733904149839811010566588636463387710454521331119235232264923189601687082798806855112515589250219154278501451714192861547786058728700982080272616018727567916103606460016967822221951797243649707974796230577822295520162458224596051146658353660100695837852805228159172276402072982965456531484195706620752968246245740056047214799078201592769593505284053143430643917449929829622721200355883199123966537406098326929304572797895302786536740425528630736569978648345333624820880395245102866051413230100208040060379206479458165351051155467553470581501220780483542499197367692020145450197063646361374078324837194808441690426786684475790739072250757632097461770535056166003280961105921752226033901855894349906661722970565928183210153470950037077358502658228885399641172719515425871169018634809275373602200619841807029366736663727045395742619093503054968856955281765026672157693748855217357251808509707560305537295360349075867009334061768635180207882252451910233765778899558026677134022686753074380556153795118698789297422898196590059523727056020730996669954113396255629902503218536940616270558361363676034748307026619556084488884086075513499531985375146714961418553881274609750722865315994032173165101392657208070032486060590192367974637672596015336049813786433502855324057043738564605021497883880262054000198332112844520708120209873140812617174305059430658398039115336168264638494097312750830620775690071655989919730843300891714952447657864378164829709646980142727453888684780018920507555267935705909234874945937180283191339461946681691597386956363526700285405881128206593871716744157404189011728771949507859762560062957439325471337214147442404988121598776344128801554960954781453702611861068069264510608591732224088361813963514808331336025312706730692920749458349672739371999241232297838320460648712606606525693410486072769850166790485945901104708134470060210251980117680466235949173675808932249182156539088172543412972404333026664383547744544753743157398966821614773253146563754573778580961}
30985 5726814421172641012712280636594798626044003804359044213735863377458510037304707008792100: {61966,464655,495632,557586,1022043,1517579,2167970,2601564,3097100,3716520,3805743,3964288,4181085,4459824,4797095,5017302,5756514,6282647,6584043,6651455,7981746,8013719,8248431,8878919,8975210,9253751,9356943,9996527,10176299,10464591,10770252,11448170,12124443,12469223,12591359,12684170,13737804,14497259,14537570,14630363,15221004,15660194,15989871,16303799,16486223,16541211,16824695,17046287,17445084,17888522,19455599,19591655,20189634,20710370,20968199,21101762,21434495,22053803,23122379,23275895,23329514,23509986,23553047,24512423,24785391,24852444,25115855,25721394,26975631,27042434,27426539,27899762,27931074,28616043,29576519,29954570,30006347,30139026,30503882,30577612,30627095,31727111,32050732,32154647,32731346,33031970,33647210,34294055,34976843,35702031,35897666,35945484,36752514,37240924,39180770,39480716,39638364,39862312,40376652,40533623,40586331,41152866,41204363,41261954,41333591,41482562,42252170,42317159,42446999,42523655,42848591,42866210,43436255,44845101,44913243,45331871,45786760,45935210,46241762,47016924,47417474,48391724,49870444,50702604,50724095,50906279,51028386,51282380,51439452,51510105,51633455,51746728,52123506,52522223,53201320,53220959,53387025,53451095,53692034,53713576,53987339,54062031,54717832,54944112,55122252,56891567,56946160,57181727,58215069,58251179,58345743,58418663,59149202,59511244,59851485,59948571,60380999,60427773,60638570,60868914,61538856,61557561,61812126,61960146,62254754,62736347,63841584,64064430,64141314,64326695,65284271,65348063,65911979,66059660,66241391,66585719,68036759,68335392,68595362,69231213,69883703,69949154,70646855,71017576,71400923,71458634,71821782,71937825,72031442,72766284,72848927,72873436,73104971,74250455,74286543,74402699,74414507,74604866,76429223,76553999,76676426,76715474,76733680,76877316,77092034,77124770,77192034,77348471,77978091,78575762,79107239,79271592,79431083,79609751,79894773,80244956,80247887,81000863,81061994,82184043,83215970,83349314,84396136,84498860,84776226,85829639,85852911,86258570,86325390,86440557,86806367,86811945,87242927,87422043,87712655,88883762,89031964,89100546,89180541,89357608,89629547,90051479,90230087,91525643,91903247,92080416,92157911,92396903,92549724,92599408,93074855,93305992,93533759,93846347,94159970,94215345,94249163,94945653,95112825,95212226,95238543,95396891,95952647,96600743,96897791,97195370,97212779,97398674,98478359,98507243,98869611,99387471,99805943,99859164,...,68117308783539327120900438156839102444526724304846404199503006190086102003470105685575117008069239938297700941724792128258544261936552347013840698655900099648009266142323298459033446761422471671523588376874840578120898081078875782425721369609001410044730221637315332041019358803435429568511388746230610838536627235622434519462285202050328617082622522074728828846528544096444234160462357884981045746494382009575897989971681605921143842963787007901922680578261290592392019346372736206618315398721354109171202300928380713063470051399481153898278756614438649586145694597157019472457701279330821509671182119402744152870520035345162720801904816428865007204052050884982445491248498659102181639219679397460609938593687649351619904900662160035138385268370734684013621198254734799885748049046493388640763554746499454773768690896428905882208083130031894547691158798724966503792452494116813024850785425041834182549598904968984728464244288946796810202914463998021566042481313978847867652722264740862507488077829004913134350822984026443055987379945784955811797345962856272443860101286350419072796943232528421898030976700223743422017660615066395671133966728929304756371180499449833540105553970070845497246180411492811371560892394975999499158919135990806715207139484965608152593325699566214954262922051970070923909171470852018920547172723656529148163644620028174076573541343140220503317710087374323163956014715495292798554533859403589550493603736829918614100844469637261176396683153981093450488021032304999371347104602163959855805683449666443225707634029351667619195891538120731341274938929236187636398478643130795473963115422167309736851998165638954363650614894033869162008949592782812994474613114078671753292024266388493441239695560288301016565571037865780290267101011221985890343078811853386135987767651545421471278060892293010448779416910635496161351223443427979916832028032154707912458755615426961811792144656206847801321563633224939524303711167271963894333548102447319743194443041047023692404585318322350884877302349368508393848188154013343388116532674004203955209915816155682670209066350011337721396361678806951587101585848656890585692694122467659292582486777948519514539282812132759271693997803608912813249396959108119798628316450944508279223015929436418420796443706447633177205837680483717639950047730793102055371644735329952497814152706692800181338353877467834582255129274199020895896740307014334193169047341612036016868982175833941142863194212026814078010834805968178374368130230884052532706075725317385096990927253918583883938971395325985018578939153522517465269887273982965174130758849093074210956911452025657708556596141012645093445103495522290349237995552662624611094794384575102402397266664695336165850104867804319004302242360796338122560026990437027432655264269291692785079953174398300731071313908953552889624256826182757676181308740794772469791305459301943928233491565306037772086861223311365464005904897153196932638359097599546480756531226654550311872199786414680755451515284516947272695108158980309686564252802249443731742473483354119000292205704668602285590482063714744971601309440363488024970090554804808613355957096295935729658199610633061640770429727360216610966128068195544471546800927783803740304212229701869430643953942041978927608827670624328327653408062953065437602123692791340378737524574191889933239772830294933807844265498622049874797769239072763730527070382048987234038174315426638197793778166427840526993470488068550973466944053413838941972610887134734873956737960775334961040644723332263156922693527266929418195148498771099782926411255587235715579301054318763001010176129949027380074888004374614807895669634711869141192466542215630627421237577613537961266716103144670210971847199521563626020567828225358179745700498136267493122409372488982218302727194323492124670739958475940375686702229543591665140289809669078012943413740716393813798767822679112082358180240277176336602546978354371866077368902845363582337432507408205060158265052396563864262120079364969408027641328893272151195007506536670958049254155027411148484901379664409368826074779318512114767351332709313833528953281891405175032813000963820421325376230886801856876277426709981414120256490632850230128020448066418381911337140432076058318086140028663845173682738666931109483792694277493613164187750156232406745907544530718820448224352851325463083667774161034253428874653226307791067855619936596877152504219772946195973523636605184913040025227343407023914274545646499927916240377588452615928908922129849275151368933713874508170942125162288992209872252015638362599343813016746750609919100628449618863256539984162131701792171735406614606375271603482481424092352680811455642965451149085284686411108448033750275640923894332611132896985829332321643063784427280864950142142034257880648097026466889053981261201472944179293413613669306823573954981265564901078576332242875385450896724550629872444035552511396992726338324209865289095486364337528751672765038107948}
30986 5744314119339119954752070305418407611324635126735043523292236477037022526445034103636731: {92949,433678,619540,743448,805246,836379,1145113,1362724,2660926,2908078,3251955,3278686,3468752,3871375,3902346,3919093,4513006,4645650,4840153,4955360,5074324,5574780,5946432,6361486,6689736,6860149,6976846,7043353,7525953,7675352,8083486,8634771,8688949,8778724,10292878,10328713,10642328,10692313,10997908,11150686,11972619,12475924,12505993,12986206,13229449,13462815,13951753,13952788,13963678,14360336,15793678,16155378,16165924,16646446,17011678,17172255,17255086,18317072,18797173,18835678,19026255,19200046,20294672,20400649,20606706,21262078,21319828,21625486,21806355,21998293,22054948,22175449,22831506,23260112,23490291,25703449,26167626,26336686,26405593,26580949,26832783,26919512,28502878,29704078,29899033,29944126,30284451,31065555,31114933,31346648,31652643,31981273,33047188,33136592,33536149,33895678,34295192,34397449,34879523,34994271,35264979,35967508,36043726,37241432,37278666,37472878,38154724,38222015,38582091,38676949,39018526,40063415,40087006,40185368,40563651,41035678,41392213,41849643,41864926,41896611,43079893,44931855,44938126,45208539,45278387,45430549,45597913,45755823,45866418,45999406,46551155,46706206,46934233,46999379,47530078,47602708,47878103,47927312,48076098,48118078,49003352,49097019,49350895,49547955,49645006,49758613,49827890,50470815,51904393,52851152,53041486,53392078,53835536,53846499,53918226,54115108,54870488,55128771,55861386,56308078,57233450,57534191,58285246,58771155,59221074,59399449,59457546,59793468,59884324,60489655,60564978,61729299,61810549,61892931,62140379,62223843,62338055,62689232,62770453,63378255,63612046,64102975,64299315,64683410,65917486,66501650,66722878,67141970,67603472,68037848,68160949,68318233,68397290,68585936,68675566,68680140,68902815,69362643,69498008,69573913,70394686,70512649,70525386,71126211,71182700,72082708,72226933,72587586,72692953,72795406,73251886,73258816,73496336,73623049,73846619,74389055,74805666,75783193,76053906,76090633,76542579,76551253,76923570,77159178,77235166,77620092,77794324,78081973,78185259,78187907,78369646,78996949,79801980,79931428,80538051,80570364,81024482,81121813,81158552,81311806,81642743,81877273,82051808,82076748,82416168,82574575,82613528,82683378,84432373,85122112,85419240,85480078,85521752,85627573,85817086,86108803,87499966,87934322,88004149,88122419,88152073,88595413,88723803,88771970,89067406,89266866,90185086,90215449,90957855,91091795,91113856,91303371,91680649,92308284,92392979,92718189,92940219,93083566,93382131,93862078,94084366,94636283,95167753,95194846,95762376,95917100,96082078,96096645,96177013,96211971,96895753,97021712,97189678,97365554,97612693,98361439,99048724,99089490,99351551,99400078,...,102175963175308990681350657235258653666790086457269606299254509285129153005205158528362675512103859907446551412587188192387816392904828520520761047983850149472013899213484947688550170142133707507285382565312260867181347121618313673638582054413502115067095332455972998061529038205153144352767083119345916257804940853433651779193427803075492925623933783112093243269792816144666351240693536827471568619741573014363846984957522408881715764445680511852884020867391935888588029019559104309927473098082031163756803451392571069595205077099221730847418134921657974379218541895735529208686551918996232264506773179104116229305780053017744081202857224643297510806078076327473668236872747988653272458829519096190914907890531474027429857350993240052707577902556102026020431797382102199828622073569740082961145332119749182160653036344643358823312124695047841821536738198087449755688678741175219537276178137562751273824398357453477092696366433420195215304371695997032349063721970968271801479083397111293761232116743507369701526234476039664583981069918677433717696018944284408665790151929525628609195414848792632847046465050335615133026490922599593506700950093393957134556770749174750310158330955106268245869270617239217057341338592463999248738378703986210072810709227448412228889988549349322431394383077955106385863757206278028380820759085484793722245466930042261114860312014710330754976565131061484745934022073242939197831800789105384325740405605244877921151266704455891764595024730971640175732031548457499057020656903245939783708525174499664838561451044027501428793837307181097011912408393854281454597717964696193210944673133250964605277997248458431545475922341050803743013424389174219491711919671118007629938036399582740161859543340432451524848356556798670435400651516832978835514618217780079203981651477318132206917091338439515673169125365953244242026835165141969875248042048232061868688133423140442717688216984310271701982345449837409286455566750907945841500322153670979614791664561570535538606877977483526327315953524052762590772282231020015082174799011006305932814873724233524005313599525017006582094542518210427380652378772985335878539041183701488938873730166922779271808924218199138907540996705413369219874095438662179697942474676416762418834523894154627631194665559671449765808756520725576459925071596189653083057467102994928746721229060039200272007530816201751873382693911298531343845110460521501289753571012418054025303473263750911714294791318040221117016252208952267561552195346326078799059113587976077645486390880877875825908457092988977527868408730283776197904830910974447761196138273639611316435367178038486562834894211518967640167655243283435523856993328993936916642191576862653603595899997043004248775157301706478506453363541194507183840040485655541148982896403937539177619929761597451096606970863430329334436385239274136514271963111192158704686958188952915892350237347959056658130291834967048196008857345729795398957538646399319721134796839981825467808299679622021133177272926775420909042662238470464529846379203374165597613710225031178500438308557002903428385723095572117457401964160545232037455135832207212920033935644443903594487299415949592461155644591040324916449192102293316707320201391675705610456318344552804145965930913062968391413241505936492491480112094429598156403185539187010568106286861287834899859659245442400711766398247933074812196653858609145595790605573073480851057261473139957296690667249641760790490205732102826460200416080120758412958916330702102310935106941163002441560967084998394735384040290900394127292722748156649674389616883380853573368951581478144501515264194923541070112332006561922211843504452067803711788699813323445941131856366420306941900074154717005316457770799282345439030851742338037269618550747204401239683614058733473327454090791485238187006109937713910563530053344315387497710434714503617019415120611074590720698151734018668123537270360415764504903820467531557799116053354268045373506148761112307590237397578594845796393180119047454112041461993339908226792511259805006437073881232541116722727352069496614053239112168977768172151026999063970750293429922837107762549219501445730631988064346330202785314416140064972121180384735949275345192030672099627572867005710648114087477129210042995767760524108000396664225689041416240419746281625234348610118861316796078230672336529276988194625501661241551380143311979839461686601783429904895315728756329659419293960285454907777369560037841015110535871411818469749891874360566382678923893363383194773912727053400570811762256413187743433488314808378023457543899015719525120125914878650942674428294884809976243197552688257603109921909562907405223722136138529021217183464448176723627927029616662672050625413461385841498916699345478743998482464595676640921297425213213051386820972145539700333580971891802209416268940120420503960235360932471898347351617864498364313078176345086825944808666053328767095489089507486314797933643229546506293127509147557161922}
30987 5761866985142721928321994979381511711674308533685668423921147750754559958096821133063350: {123932,650517,774425,929310,991264,1115172,1207869,1703405,2044086,3035158,3991389,4335940,4362117,4918029,5203128,5853519,6194200,6342905,6715933,6769509,6968475,7433040,7611486,7928576,8362170,8919648,9312037,9542229,9594190,10034604,10465269,10973405,11172589,11513028,12125229,12565294,13168086,13302910,13747385,14880697,15253913,15439317,15594905,15963492,16027438,16367789,16496862,16726029,17290429,17440985,17757838,17950420,18221893,18507502,18713886,19479309,19993054,20207405,20352598,20929182,20945517,21540504,21744493,22896340,23554573,23690517,24233067,24248886,24938446,24969669,25182718,25368340,25517517,25882629,26649785,27428317,27475608,27568685,28205309,28253517,28800069,28994518,29075140,29260726,30008293,30442008,30910059,31003733,31320388,31893117,31979742,32438229,32586253,32607598,32972446,33082422,33649390,34092574,34247259,34890168,35162197,35777044,36332813,37680509,38911198,39183310,39251439,39505029,40379268,41308985,41336269,41420740,41936398,42131693,42203524,42754317,42868990,42877933,44107606,44556117,44916189,44959385,46244758,46474373,46551790,46659028,46722953,47019972,47106094,47693405,48011677,49024846,49570782,49704888,50231710,50448269,50843517,51442788,53002073,53951262,54065589,54084868,54853078,55799524,55862148,55917999,56209317,56596133,56895253,57232086,58527789,58618109,58951829,59153038,59503385,59533117,59909140,60012694,60130509,60278052,60810757,61007764,61155224,61254190,61553517,62797389,62897497,63454222,63908989,64101464,64309294,65462692,66063940,67130489,67294420,67407189,67643885,68242637,68588110,68678453,68799627,68999109,69953686,70059309,71013733,71295117,71404062,71795332,71890968,72114147,72177117,72286837,73505028,74419333,74467509,74481848,74741835,74831533,74855405,77229529,78361540,78961432,79276728,79562229,79672889,79724624,80088117,80181749,80753304,80877339,81067246,81172662,81419389,82305732,82408726,82523908,82667182,82965124,83792079,84382909,84462117,84504340,84634318,84893998,85047310,85633013,85697182,85732420,85850175,86744729,86872510,87427869,87449717,88413973,88831611,88852709,88978375,89186319,89690202,89826486,90057373,90103385,90235933,90663742,90847467,90862013,91573520,91870420,92483524,92793013,94033848,94834948,95418069,95730653,96783448,96904069,97025115,97242905,98513629,98876229,98905597,99740888,99752475,99914285,...,153263944762963486022025985852887980500185129685904409448881763927693729507807737792544013268155789861169827118880782288581724589357242780781141571975775224208020848820227421532825255213200561260928073847968391300772020682427470510457873081620253172600642998683959497092293557307729716529150624679018874386707411280150477668790141704613239388435900674668139864904689224216999526861040305241207352929612359521545770477436283613322573646668520767779326031301087903832882043529338656464891209647123046745635205177088856604392807615648832596271127202382486961568827812843603293813029827878494348396760159768656174343958670079526616121804285836964946266209117114491210502355309121982979908688244278644286372361835797211041144786026489860079061366853834153039030647696073153299742933110354610124441717998179623773240979554516965038234968187042571762732305107297131174633533018111762829305914267206344126910736597536180215639044549650130292822956557543995548523595582956452407702218625095666940641848175115261054552289351714059496875971604878016150576544028416426612998685227894288442913793122273188949270569697575503422699539736383899390260051425140090935701835156123762125465237496432659402368803905925858825586012007888695998873107568055979315109216063841172618343334982824023983647091574616932659578795635809417042571231138628227190583368200395063391672290468022065496132464847696592227118901033109864408796747701183658076488610608407867316881726900056683837646892537096457460263598047322686248585530985354868909675562787761749497257842176566041252143190755960771645517868612590781422181896576947044289816417009699876446907916995872687647318213883511576205614520136583761329237567879506677011444907054599374110242789315010648677287272534835198005653100977275249468253271927326670118805972477215977198310375637007659273509753688048929866363040252747712954812872063072348092803032200134710664076532325476465407552973518174756113929683350126361918762250483230506469422187496842355803307910316966225289490973930286079143886158423346530022623262198516509458899222310586350286007970399287525509873141813777315641070978568159478003817808561775552233408310595250384168907713386327298708361311495058120053829811143157993269546913712014625143628251785841231941446791998339507174648713134781088364689887607394284479624586200654492393120081843590058800408011296224302627810074040866947797015767665690782251934630356518627081037955209895626367571442186977060331675524378313428401342328293019489118198588670381964116468229586321316813738862685639483466291802613095425664296857246366461671641794207410459416974653050767057729844252341317278451460251482864925153285785489993490905374963287365293980405393849995564506373162735952559717759680045311791760775760060728483311723474344605906308766429894642396176644910456295145494001654577858911204771407944666788238057030437283429373838525356021938584987195437752450572294013286018594693098436307969598979581702195259972738201712449519433031699765909390163131363563993357705696794769568805061248396420565337546767750657462835504355142578584643358176186102946240817848056182703748310819380050903466665855391730949123924388691733466886560487374673788153439975060980302087513558415684477516829206218948896369594452587119862258904738737220168141644397234604778308780515852159430291931752349789488868163601067649597371899612218294980787913718393685908359610221276585892209709935945036000874462641185735308598154239690300624120181137619438374496053153466402660411744503662341450627497592103076060436350591190939084122234974511584425325071280360053427372217216752272896292385311605168498009842883317765256678101705567683049719985168911697784549630460412850111232075507974686656198923518158546277613507055904427826120806601859525421088100209991181136187227857280509164906570865845295080016473081246565652071755425529122680916611886081047227601028002185305905540623646757355730701297336698674080031402068060259223141668461385356096367892268694589770178571181168062192990009862340188766889707509655610821848811675084091028104244921079858668253466652258226540498595956125440144884255661643823829252168595947982096519495304177971624210097458181770577103923913017788046008149441359300508565972171131215693815064493651640786162000594996338533562124360629619422437851522915178291975194117346008504793915482291938252491862327070214967969759192529902675144857342973593134494489128940940428182361666054340056761522665803807117727704624837811540849574018385840045074792160869090580100856217643384619781615150232472212567035186315848523579287680188872317976414011642442327214964364796329032386404664882864344361107835583204207793531825775196672265085441890544424994008075938120192078762248375049018218115997723696893514961381946137819819577080231458218309550500371457837703314124403410180630755940353041398707847521027426796747546469617264517630238917212999079993150643233634261229472196900464844319759439691263721335742883}
30988 5779473179189358501120883277891836419546701460778985321439025344618736671606378706158703: {154915,185898,340747,526507,867356,1239080,1393965,1454227,1486896,1610492,1672758,2290226,2725448,3066129,3304267,4226587,4552737,4595011,5321852,5419925,5514811,5816156,6503910,6557372,6937504,7742750,7804692,7838186,8628667,9026012,9291300,9540547,9680306,9722707,9910720,10148648,11149560,11417229,11892864,12543255,12722972,13170067,13379472,13712011,13720298,13953692,14086706,14391285,14613811,14974027,15051906,15350704,15873307,16166972,16950067,17269542,17377898,17557448,18203011,18847941,19452427,19630627,19752129,19954365,20585756,20657426,21284656,21384626,21763411,21995816,22301372,22438025,23945238,24041157,24745293,24943147,24951848,25011986,25972412,26458898,26636757,26925630,27761253,27903506,27905576,27924811,27927356,28070829,28274227,28620425,28720672,29320747,29989581,30528897,31393773,31587356,31710425,31752547,32310756,32331848,33135811,33292892,34023356,34342387,34344510,34510172,36343925,36373329,36573811,36634144,37407669,37594346,37671356,37774077,38052510,38400092,39133411,39150485,40589344,40801298,41213412,42524156,42639656,42858187,43250972,43491777,43612710,43867987,43891089,43996586,44109896,44350898,44721305,45663012,45879811,46520224,46980582,47048587,47969613,48911397,49458669,49623633,50474085,51138861,51406898,51775925,52182187,52335252,52673372,52754405,52811186,53161898,53510821,53665566,53839024,56088781,57005756,57408811,58323785,58366797,58703947,58774965,59027011,59408156,59798066,59888252,60316387,60568902,61440811,62131110,62229866,62693296,62904597,63305286,63662093,63962546,64303485,64315987,65171617,66094376,66161409,66273184,67010011,67072298,67483267,67606085,67791356,67994953,68113267,68590384,68794898,69056107,69091253,69367137,69683227,69749405,69759046,69827685,69839827,69988542,70529958,70659141,71935016,72087452,72491011,73266811,73537269,74356173,74482864,74557332,74886425,74945756,75347565,76259705,76309448,76352011,76444030,76658947,77164182,77353898,78037052,78341947,79864387,80126830,80174012,80370736,80925811,80926893,81127302,81828365,82071356,82279617,82579925,82784426,82887667,83188411,83699286,83729852,83793222,84118025,84685517,84986827,85848129,86159786,87273277,87368587,88729557,89142811,89437507,89744165,89863710,89876252,90019041,90172987,90417078,90556774,90861098,91195826,91346011,91511646,91732836,91881285,91998812,93096907,93102310,93412412,93868466,93968467,93998758,94982011,95060156,95181333,95205416,95270947,95756206,95854624,96152196,96236156,96463941,97142011,97572067,97951925,98006704,98144467,98194038,98701790,99095910,99290012,99517226,99655780,99996811,...,204351926350617981362701314470517307333580172914539212598509018570258306010410317056725351024207719814893102825174376384775632785809657041041522095967700298944027798426969895377100340284267415014570765130624521734362694243236627347277164108827004230134190664911945996123058076410306288705534166238691832515609881706867303558386855606150985851247867566224186486539585632289332702481387073654943137239483146028727693969915044817763431528891361023705768041734783871777176058039118208619854946196164062327513606902785142139190410154198443461694836269843315948758437083791471058417373103837992464529013546358208232458611560106035488162405714449286595021612156152654947336473745495977306544917659038192381829815781062948054859714701986480105415155805112204052040863594764204399657244147139480165922290664239498364321306072689286717646624249390095683643073476396174899511377357482350439074552356275125502547648796714906954185392732866840390430608743391994064698127443941936543602958166794222587522464233487014739403052468952079329167962139837354867435392037888568817331580303859051257218390829697585265694092930100671230266052981845199187013401900186787914269113541498349500620316661910212536491738541234478434114682677184927998497476757407972420145621418454896824457779977098698644862788766155910212771727514412556056761641518170969587444490933860084522229720624029420661509953130262122969491868044146485878395663601578210768651480811210489755842302533408911783529190049461943280351464063096914998114041313806491879567417050348999329677122902088055002857587674614362194023824816787708562909195435929392386421889346266501929210555994496916863090951844682101607486026848778348438983423839342236015259876072799165480323719086680864903049696713113597340870801303033665957671029236435560158407963302954636264413834182676879031346338250731906488484053670330283939750496084096464123737376266846280885435376433968620543403964690899674818572911133501815891683000644307341959229583329123141071077213755954967052654631907048105525181544564462040030164349598022012611865629747448467048010627199050034013164189085036420854761304757545970671757078082367402977877747460333845558543617848436398277815081993410826738439748190877324359395884949352833524837669047788309255262389331119342899531617513041451152919850143192379306166114934205989857493442458120078400544015061632403503746765387822597062687690220921043002579507142024836108050606946527501823428589582636080442234032504417904535123104390692652157598118227175952155290972781761755751651816914185977955055736817460567552395809661821948895522392276547279222632870734356076973125669788423037935280335310486566871047713986657987873833284383153725307207191799994086008497550314603412957012906727082389014367680080971311082297965792807875078355239859523194902193213941726860658668872770478548273028543926222384317409373916377905831784700474695918113316260583669934096392017714691459590797915077292798639442269593679963650935616599359244042266354545853550841818085324476940929059692758406748331195227420450062357000876617114005806856771446191144234914803928321090464074910271664414425840067871288887807188974598831899184922311289182080649832898384204586633414640402783351411220912636689105608291931861826125936782826483011872984982960224188859196312806371078374021136212573722575669799719318490884801423532796495866149624393307717218291191581211146146961702114522946279914593381334499283521580980411464205652920400832160241516825917832661404204621870213882326004883121934169996789470768080581800788254585445496313299348779233766761707146737903162956289003030528389847082140224664013123844423687008904135607423577399626646891882263712732840613883800148309434010632915541598564690878061703484676074539237101494408802479367228117466946654908181582970476374012219875427821127060106688630774995420869429007234038830241222149181441396303468037336247074540720831529009807640935063115598232106708536090747012297522224615180474795157189691592786360238094908224082923986679816453585022519610012874147762465082233445454704138993228106478224337955536344302053998127941500586859845674215525098439002891461263976128692660405570628832280129944242360769471898550690384061344199255145734011421296228174954258420085991535521048216000793328451378082832480839492563250468697220237722633592156461344673058553976389251003322483102760286623959678923373203566859809790631457512659318838587920570909815554739120075682030221071742823636939499783748721132765357847786726766389547825454106801141623524512826375486866976629616756046915087798031439050240251829757301885348856589769619952486395105376515206219843819125814810447444272277058042434366928896353447255854059233325344101250826922771682997833398690957487996964929191353281842594850426426102773641944291079400667161943783604418832537880240841007920470721864943796694703235728996728626156352690173651889617332106657534190978179014972629595867286459093012586255018295114323844}
30989 5797132862567301076903484962459772621379892024233300937102254494425061009508734469583238: {247864,278847,1084195,1301034,1548850,1858620,1982528,2013115,2230344,2384767,2415738,2509137,3406810,3435339,4088172,6070316,6652315,7270195,7982778,8196715,8671880,8724234,8880067,9755865,9836058,9872731,10406256,11282515,11614125,11707038,11757279,12101059,12388400,12592987,12685810,13431866,13539018,13936950,13952587,14520459,14866080,15222972,15362767,15857152,15903715,15991327,16305907,16724340,17048491,17442115,17839296,18624074,19084458,19188380,19246339,20069208,20208715,20580447,20634979,20930538,21130059,21558907,21832867,21946810,22345178,22577859,22781407,23026056,24250458,24417379,25130588,25732195,25904313,26012971,26066847,26336172,26605820,27494770,27876715,28290367,29761394,30507826,30878634,30986139,31189810,31926984,32054707,32054876,32076939,32465515,32735578,32950027,32993724,33333547,33452058,34580858,34651231,34881970,34909195,35515676,35900840,35917857,36335167,36443786,37011931,37015004,37309699,37427772,37517979,38596159,38958618,39484195,39688347,39986108,40388445,40414810,40705196,41489299,41616115,41855259,41858364,41891034,42529195,42938779,43081008,43098847,43137715,43488986,45037327,45792680,46477387,46891987,47089195,47109146,47152831,47381034,48000115,48466134,48497772,49876892,49939338,50365436,50528731,50736680,51035034,51516765,51765258,51869347,52219771,53005507,53155195,53299570,54051619,54063715,54856634,54924259,54951216,55137370,56391519,56410618,56507034,57078765,57600138,57832579,57989036,58150280,58521452,59237611,59280139,60016586,60025099,60884016,61201947,61820118,62007466,62640776,62943139,63786234,63959484,64876458,65172506,65215196,65419065,65841715,65944892,65994879,66164844,66526347,66702427,66770767,66886339,67298780,67439419,68185148,68494518,68682907,68868739,69275947,69780336,70324394,70405147,70470873,70748371,71257195,71554088,72665626,74260195,74860315,75361018,75943999,76758271,77110347,77822396,78366620,78502878,79010058,79216779,79678051,79742847,80186947,80498349,80758536,81124387,82617970,82672538,82841480,83304739,83872796,84263386,84407048,84739195,84830107,84837247,85167571,85371739,85508634,85737980,85755866,88215212,88535827,89112234,89697099,89832378,89918770,90080719,90109315,90386011,90853353,91537567,92489516,92948746,93103580,93196665,93318056,93344799,93445906,93682195,94039944,94212188,94701439,94798699,94884427,94957929,95386810,95736859,95943819,96023354,97142179,97520011,97546315,97737919,98049692,99141564,99409776,99945907,99984691,...,306527889525926972044051971705775961000370259371808818897763527855387459015615475585088026536311579722339654237761564577163449178714485561562283143951550448416041697640454843065650510426401122521856147695936782601544041364854941020915746163240506345201285997367918994184587114615459433058301249358037748773414822560300955337580283409226478776871801349336279729809378448433999053722080610482414705859224719043091540954872567226645147293337041535558652062602175807665764087058677312929782419294246093491270410354177713208785615231297665192542254404764973923137655625687206587626059655756988696793520319537312348687917340159053232243608571673929892532418234228982421004710618243965959817376488557288572744723671594422082289572052979720158122733707668306078061295392146306599485866220709220248883435996359247546481959109033930076469936374085143525464610214594262349267066036223525658611828534412688253821473195072360431278089099300260585645913115087991097047191165912904815404437250191333881283696350230522109104578703428118993751943209756032301153088056832853225997370455788576885827586244546377898541139395151006845399079472767798780520102850280181871403670312247524250930474992865318804737607811851717651172024015777391997746215136111958630218432127682345236686669965648047967294183149233865319157591271618834085142462277256454381166736400790126783344580936044130992264929695393184454237802066219728817593495402367316152977221216815734633763453800113367675293785074192914920527196094645372497171061970709737819351125575523498994515684353132082504286381511921543291035737225181562844363793153894088579632834019399752893815833991745375294636427767023152411229040273167522658475135759013354022889814109198748220485578630021297354574545069670396011306201954550498936506543854653340237611944954431954396620751274015318547019507376097859732726080505495425909625744126144696185606064400269421328153064650952930815105947036349512227859366700252723837524500966461012938844374993684711606615820633932450578981947860572158287772316846693060045246524397033018917798444621172700572015940798575051019746283627554631282141957136318956007635617123551104466816621190500768337815426772654597416722622990116240107659622286315986539093827424029250287256503571682463882893583996679014349297426269562176729379775214788568959249172401308984786240163687180117600816022592448605255620148081733895594031535331381564503869260713037254162075910419791252735142884373954120663351048756626856802684656586038978236397177340763928232936459172642633627477725371278966932583605226190851328593714492732923343283588414820918833949306101534115459688504682634556902920502965729850306571570979986981810749926574730587960810787699991129012746325471905119435519360090623583521551520121456966623446948689211812617532859789284792353289820912590290988003309155717822409542815889333576476114060874566858747677050712043877169974390875504901144588026572037189386196872615939197959163404390519945476403424899038866063399531818780326262727127986715411393589539137610122496792841130675093535501314925671008710285157169286716352372205892481635696112365407496621638760101806933331710783461898247848777383466933773120974749347576306879950121960604175027116831368955033658412437897792739188905174239724517809477474440336283288794469209556617561031704318860583863504699578977736327202135299194743799224436589961575827436787371816719220442553171784419419871890072001748925282371470617196308479380601248240362275238876748992106306932805320823489007324682901254995184206152120872701182381878168244469949023168850650142560720106854744434433504545792584770623210336996019685766635530513356203411135366099439970337823395569099260920825700222464151015949373312397847036317092555227014111808855652241613203719050842176200419982362272374455714561018329813141731690590160032946162493131304143510851058245361833223772162094455202056004370611811081247293514711461402594673397348160062804136120518446283336922770712192735784537389179540357142362336124385980019724680377533779415019311221643697623350168182056208489842159717336506933304516453080997191912250880289768511323287647658504337191895964193038990608355943248420194916363541154207847826035576092016298882718601017131944342262431387630128987303281572324001189992677067124248721259238844875703045830356583950388234692017009587830964583876504983724654140429935939518385059805350289714685947186268988978257881880856364723332108680113523045331607614235455409249675623081699148036771680090149584321738181160201712435286769239563230300464944425134070372631697047158575360377744635952828023284884654429928729592658064772809329765728688722215671166408415587063651550393344530170883781088849988016151876240384157524496750098036436231995447393787029922763892275639639154160462916436619101000742915675406628248806820361261511880706082797415695042054853593495092939234529035260477834425998159986301286467268522458944393800929688639518879382527442671485766}
30990 5814846196848621266403229157840894959133906836382832287067292459713066386988494421345440: {216881,309830,371796,402701,588449,681494,1053014,1268909,1639661,1734712,1824929,1951551,2323275,2441969,2478160,2787930,2908454,2973792,2996621,3220984,3345516,3366029,3623607,4042529,4226861,4288289,4580452,4595309,4656689,5110215,5331341,5450896,5576429,6132258,6608534,6983201,7166381,7587895,8081201,8453174,8507501,8690081,8994221,9105474,9190022,9601901,10633121,10643704,10814861,10839850,10996529,11029622,11632312,11974167,12145421,13007820,13086351,13114744,13170929,13231181,13875008,14073869,14754087,15215009,15485500,15609384,15676372,15874349,15934241,16472909,17130401,17257334,17560557,17846561,18052024,18204209,18263789,18582600,19028715,19081094,19360612,19445414,19513121,19821440,20147799,20297296,20308527,20521901,20699681,20905425,21764849,22299120,22834458,23769761,23785728,23985475,24416429,24768749,25003469,25086510,25445944,25706861,25823981,26340134,26409101,26526029,26701361,26758944,27424022,27440596,27635249,27907384,27936111,28173412,28626687,28782570,29227622,29322701,29948054,30103812,30701408,30887729,31395807,31413235,31746614,31812401,31985549,32333944,32920215,33138029,33257275,33368141,33517767,33540641,33900134,34402061,34539084,34755796,34918049,35114896,35376161,35776589,36375687,36406022,36576269,36633329,36804461,37146509,37695882,38795681,38904854,39136049,39192749,39261254,39362801,39504258,39908730,40068595,40325069,41171512,41242155,41314852,41679629,42073841,42569312,42769252,42917261,43085729,43526822,43926989,43991632,44394595,44602744,44642091,44876050,45715661,45761739,46105841,46268755,46317951,46439969,46784715,47051789,47218481,47773601,47890476,48082314,48604781,48770801,49103367,49490586,49599821,49886294,49903696,49982635,50023972,50178087,50371949,50881495,51087521,51417329,51871287,51944824,52076081,52240589,52322955,52843169,52917796,53171441,53273514,53851260,54209069,54372641,54665679,54810679,54971789,55522506,55624301,55807012,55811152,55849622,55854712,56112929,56141658,56548454,57240850,57250541,57441344,58276769,58437927,58641494,58761869,59676401,59837549,59979162,60159629,60374189,60622215,60963569,61057794,61498529,62086061,62346115,62609827,62787546,62836551,62956795,63174712,63420850,63505094,64320461,64373489,64621512,64663696,65115041,65233479,65643761,65802221,66271622,66585784,66856781,67067309,67225121,67855649,68046712,68170481,68432621,68589809,68684774,68689020,68903969,69020344,69060941,69688109,70522541,70626701,70663719,71071551,71151751,72340721,72486295,72547889,72687850,72699201,72703181,72746658,73147622,73151815,73268288,73271969,73856167,74815338,74909007,75188692,75237019,75342712,75548154,75640049,75947681,76105020,76203821,76552551,76562081,76664369,76715501,76800184,77647887,78266822,78300970,78652589,79949355,80931569,81178688,81518995,81536561,81602596,81653299,81687629,82284951,82426824,82431115,82441889,82706055,83044001,83244449,84123475,84544241,84615927,84760551,84893261,85048312,85192109,85231435,85279312,85716374,86186189,86400207,86501944,86983554,87225420,87735974,87782178,87993172,88016801,88115441,88219792,88460429,88608161,88701796,88706609,89345741,89442610,90024879,90179489,90228461,90326381,91326024,91352609,91401389,91759622,92423921,92730177,92812529,93011199,93040448,93152141,93961164,93975281,94097174,94648519,94988909,95277869,95326001,95679351,95939226,96478769,97005581,97196909,97277995,97314687,97626929,97649167,97758759,97822794,97958275,98151629,98199281,98437421,98917338,99150641,99247266,...,459791834288890458066077957558663941500555389057713228346645291783081188523423213377632039804467369583509481356642346865745173768071728342343424715927325672624062546460682264598475765639601683782784221543905173902316062047282411531373619244860759517801928996051878491276880671923189149587451874037056623160122233840451433006370425113839718165307702024004419594714067672650998580583120915723622058788837078564637311432308850839967720940005562303337978093903263711498646130588015969394673628941369140236905615531266569813178422846946497788813381607147460884706483438530809881439089483635483045190280479305968523031876010238579848365412857510894838798627351343473631507065927365948939726064732835932859117085507391633123434358079469580237184100561502459117091943088219459899228799331063830373325153994538871319722938663550895114704904561127715288196915321891393523900599054335288487917742801619032380732209792608540646917133648950390878468869672631986645570786748869357223106655875287000821925544525345783163656868055142178490627914814634048451729632085249279838996055683682865328741379366819566847811709092726510268098619209151698170780154275420272807105505468371286376395712489297978207106411717777576476758036023666087996619322704167937945327648191523517855030004948472071950941274723850797978736386907428251127713693415884681571750104601185190175016871404066196488397394543089776681356703099329593226390243103550974229465831825223601950645180700170051512940677611289372380790794141968058745756592956064606729026688363285248491773526529698123756429572267882314936553605837772344266545689730841132869449251029099629340723750987618062941954641650534728616843560409751283987712703638520031034334721163798122330728367945031946031861817604505594016959302931825748404759815781980010356417917431647931594931126911022977820529261064146789599089120758243138864438616189217044278409096600404131992229596976429396222658920554524268341789050050379085756286751449691519408266562490527067409923730950898675868472921790858237431658475270039590067869786595549528376697666931759050858023911197862576529619425441331946923212935704478434011453425685326656700224931785751152506723140158981896125083934485174360161489433429473979808640741136043875430884755357523695824340375995018521523946139404343265094069662822182853438873758601963477179360245530770176401224033888672907883430222122600843391047302997072346755803891069555881243113865629686879102714326560931180995026573134940285204026984879058467354595766011145892349404688758963950441216588056918450398875407839286276992890571739099385014925382622231378250923959152301173189532757023951835354380754448594775459857356469980472716124889862095881941216181549986693519119488207857679153279040135935375282327280182185449935170423033817718926299289683927188529934731368885436482004963733576733614314223834000364714171091311850288121515576068065815754961586313257351716882039858055784079295308923908796938745106585779918214605137348558299095099297728170489394090691980073117090384308706415183745189261696012640303251972388506513065427735753930074528558308838722453544168548111244932458140152710399997566175192847371773166075200400659681462124021364460319925182940906262540675247053432550487618656846689108783357761359586776714216211660504424933191703814334926341547556478290875795257049368466604490803202948792115698836654884942363741155181057725078830663829757676629129807835108002623387923557205925794462719070901872360543412858315123488159460399207981235233510987024351882492776309228181309051773572817252366704923534753275975213841080160282116651650256818688877155934815505494029528649953295770034305116703049149159955506735093353648891381238550333696226523924059968596770554475638832840521167713283478362419805578576263264300629973543408561683571841527494719712597535885240049419243739696956215266276587368042749835658243141682803084006555917716621870940272067192103892010096022240094206204180777669425005384156068289103676806083769310535713543504186578970029587020566300669122528966832465546435025252273084312734763239576004760399956774679621495787868376320434652766984931471487756505787843946289558485912533914872630292374545311731311771739053364138024448324077901525697916513393647081445193480954922358486001784989015600686373081888858267313554568745534875925582352038025514381746446875814757475586981210644903909277577589708025434572028920779403483467386822821284547084998163020170284567997411421353183113874513434622548722055157520135224376482607271740302568652930153859344845450697416637701105558947545570737863040566616953929242034927326981644893094388987097159213994648593033083323506749612623380595477325590016795256325671633274982024227814360576236286745125147054654347993171090680544884145838413459458731240694374654928651501114373513109942373210230541892267821059124196123542563082280390242639408851793552890716751638997239979451929700902783688416590701394532959278319073791164007228649}
30991 5832613344090635534566800878569789983027370185291169220338020785449249911913548751620481: {464745,495728,557694,1022241,1517873,1579521,2168390,2602068,2818361,3097700,3717240,3965056,4026230,4181895,4362681,4460688,4769534,4831476,5018274,5725565,6813620,6870678,8176344,9198387,9313241,9912801,10178273,10553609,11475401,11667773,12140632,12679761,13304630,13524713,13658211,13785033,14540390,14633201,14882621,15795521,15965556,16259775,16393430,16489421,16544433,17343760,17448468,17760134,18224249,18898841,19356875,19459373,19511730,19595465,19672116,19745462,20812512,22058081,22265201,22565030,22610561,23228250,23414076,23514558,24095249,24200765,24202118,24418961,24776800,25185974,25371620,25886001,26322281,26863732,26923481,27078036,27806969,27873900,27905174,28292201,28621641,29040918,29168121,29732160,30445944,30725534,31714304,31807430,31982654,32611814,33448680,34096982,34251687,34300745,34884230,35216765,35678592,35825849,36025073,37014329,37248148,37629765,38168916,38376760,38492678,38940941,39027401,39510201,40138416,40417430,41136033,41160894,41269958,41861076,42260118,42941561,43101641,43117814,43173855,43444745,43665734,43741373,43841433,43893620,44690356,44922081,45155718,45451721,45562814,46052112,46370393,47155889,47619921,48500916,48834758,48872873,49179401,50261176,50850201,50935001,51206969,51464390,51643565,51808626,52025942,52133694,52672344,53211640,53461565,54055121,54609033,54927821,54989540,55254881,55277873,55726073,55753430,56543823,56580734,58262561,58357281,58891881,59241449,59256387,59522788,59540873,59715773,59863095,60392801,60410633,61015652,61757268,61972278,62379620,62529965,63853968,64109414,64109752,64153878,64164761,64931030,65290233,65471156,65900054,65924873,65987448,66147245,66254273,66667094,66904116,67200161,67314075,67379609,68873201,69161716,69302462,69725501,69758765,69763940,69818390,71031352,71801680,71835714,72123471,72670334,72887572,74023862,74030008,74235879,74417273,74619398,74829441,74855544,75035958,75446921,75627569,75689201,76763249,77192318,77363513,77917236,78830141,78968390,79376694,79910271,79972216,80776890,80829620,81410392,82250573,82978598,83232230,83283759,83409581,83710518,83716728,83774433,83782068,84212487,84822681,85058390,85173089,85861275,85877558,86162016,86197694,86275430,86977972,87962241,88968161,89968743,90074654,90086561,91585360,91586691,92175833,92178401,92954774,93552041,93783974,93985865,94178390,94181319,94218292,94305662,94762068,94804841,95131275,95257641,95415473,95559761,96000230,96619529,96932268,96995544,97526333,98560313,99407433,99753784,99760073,99878676,99991169,...,613055779051853944088103943411551922000740518743617637795527055710774918031230951170176053072623159444679308475523129154326898357428971123124566287903100896832083395280909686131301020852802245043712295391873565203088082729709882041831492326481012690402571994735837988369174229230918866116602498716075497546829645120601910675160566818452957553743602698672559459618756896867998107444161220964829411718449438086183081909745134453290294586674083071117304125204351615331528174117354625859564838588492186982540820708355426417571230462595330385084508809529947846275311251374413175252119311513977393587040639074624697375834680318106464487217143347859785064836468457964842009421236487931919634752977114577145489447343188844164579144105959440316245467415336612156122590784292613198971732441418440497766871992718495092963918218067860152939872748170287050929220429188524698534132072447051317223657068825376507642946390144720862556178198600521171291826230175982194094382331825809630808874500382667762567392700461044218209157406856237987503886419512064602306176113665706451994740911577153771655172489092755797082278790302013690798158945535597561040205700560363742807340624495048501860949985730637609475215623703435302344048031554783995492430272223917260436864255364690473373339931296095934588366298467730638315182543237668170284924554512908762333472801580253566689161872088261984529859390786368908475604132439457635186990804734632305954442433631469267526907600226735350587570148385829841054392189290744994342123941419475638702251151046997989031368706264165008572763023843086582071474450363125688727586307788177159265668038799505787631667983490750589272855534046304822458080546335045316950271518026708045779628218397496440971157260042594709149090139340792022612403909100997873013087709306680475223889908863908793241502548030637094039014752195719465452161010990851819251488252289392371212128800538842656306129301905861630211894072699024455718733400505447675049001932922025877688749987369423213231641267864901157963895721144316575544633693386120090493048794066037835596889242345401144031881597150102039492567255109262564283914272637912015271234247102208933633242381001536675630853545309194833445245980232480215319244572631973078187654848058500574513007143364927765787167993358028698594852539124353458759550429577137918498344802617969572480327374360235201632045184897210511240296163467791188063070662763129007738521426074508324151820839582505470285768747908241326702097513253713605369313172077956472794354681527856465872918345285267254955450742557933865167210452381702657187428985465846686567176829641837667898612203068230919377009365269113805841005931459700613143141959973963621499853149461175921621575399982258025492650943810238871038720181247167043103040242913933246893897378423625235065719578569584706579641825180581976006618311435644819085631778667152952228121749133717495354101424087754339948781751009802289176053144074378772393745231878395918326808781039890952806849798077732126799063637560652525454255973430822787179078275220244993585682261350187071002629851342017420570314338573432704744411784963271392224730814993243277520203613866663421566923796495697554766933867546241949498695152613759900243921208350054233662737910067316824875795585478377810348479449035618954948880672566577588938419113235122063408637721167727009399157955472654404270598389487598448873179923151654873574743633438440885106343568838839743780144003497850564742941234392616958761202496480724550477753497984212613865610641646978014649365802509990368412304241745402364763756336488939898046337701300285121440213709488868867009091585169541246420673992039371533271061026712406822270732198879940675646791138198521841651400444928302031898746624795694072634185110454028223617711304483226407438101684352400839964724544748911429122036659626283463381180320065892324986262608287021702116490723666447544324188910404112008741223622162494587029422922805189346794696320125608272241036892566673845541424385471569074778359080714284724672248771960039449360755067558830038622443287395246700336364112416979684319434673013866609032906161994383824501760579537022646575295317008674383791928386077981216711886496840389832727082308415695652071152184032597765437202034263888684524862775260257974606563144648002379985354134248497442518477689751406091660713167900776469384034019175661929167753009967449308280859871879036770119610700579429371894372537977956515763761712729446664217360227046090663215228470910818499351246163398296073543360180299168643476362320403424870573538479126460600929888850268140745263394094317150720755489271905656046569769308859857459185316129545618659531457377444431342332816831174127303100786689060341767562177699976032303752480768315048993500196072872463990894787574059845527784551279278308320925832873238202001485831350813256497613640722523023761412165594831390084109707186990185878469058070520955668851996319972602572934537044917888787601859377279037758765054885342971532}
30992 5850434466837354136723300572717376837996301756670022277840860002566706288766748090214754: {433762,619660,743592,805402,836541,1176898,1330807,1362988,1886791,2106028,2537818,3252585,3279322,3469424,3649858,3872125,3903102,4288567,4646550,4656991,4883938,4956320,5025127,5575860,5816908,5947584,5993242,6039345,6441968,6494791,6691032,6732058,7044727,7154301,7247214,7527411,8085058,8453722,8517025,8576578,9160904,9190618,9313378,10148791,10220430,10306017,10623053,10662682,10694407,10901792,11152858,12264516,13217068,13232047,13412767,13966402,14134927,14332762,15175790,15216007,15935287,16162402,16906348,17015002,17380162,17988442,18210948,18264991,18380044,19203802,19956945,20404687,21266242,21287408,21629722,21679700,21810585,21993058,22059244,22179847,22356967,22710991,23241487,23264624,23948334,24290842,24476791,24590145,24829087,25708567,25884247,26015640,26172702,26229488,26341858,26462362,26586247,26640201,27750016,28147738,29267595,29508174,29618193,30252847,30430018,30947647,30971000,31218768,31352744,31714525,31748698,31868482,32945818,33579665,33715327,33847545,34260802,34514668,34842375,35121114,35271837,35693122,36104048,36303177,36408418,36527578,36635791,37165200,37778961,38057430,38162188,38721224,38890828,39026242,39195391,39642880,40295598,40594592,40617054,40892791,41043802,41399362,41810850,41857761,42076687,43529698,43561377,43978529,44598240,45607207,45668916,46088301,46560185,47277247,47539522,47571456,47711145,47970950,47973981,48832858,48917721,49537498,50006938,50173020,50430487,50891888,50925991,51145473,51413722,51647962,52079647,52326345,52572991,52680268,52818202,53052058,53402722,53517888,54212791,54848044,54867025,54881192,55270498,55814768,55862945,55872222,56096033,56171047,56346824,57253374,57565140,57739017,58455244,58645402,59896108,60207624,60217447,60626145,61021327,61402816,61741341,61775458,61904937,62152433,62783527,62791614,62826470,63390177,63422167,63493228,63624802,63900391,63971098,64377967,64667888,64676721,64776257,65172487,65489791,65498601,65840430,66276058,66514550,66736282,67035534,67081282,67733577,67800268,67860391,68332567,68344221,68736925,68804122,69078168,69511592,69836098,69975689,70229792,70752322,71234093,71553178,72751374,72812044,73152538,73252137,73266658,73608922,74293018,74403485,75391764,75953047,76269565,76720927,77196585,77591362,77712939,77809708,77974525,78038913,78200541,78272098,78385498,78522508,78708991,78725602,79008516,79817460,80137190,80650138,81838945,82343024,82484310,82629704,83359258,83630145,84088433,84147682,84871101,85138624,85198207,85538504,85834522,86171458,86452145,86688247,87053644,87204925,87284561,87853978,87983264,88139513,88171087,88789190,88916477,89205488,89284182,89646727,89752100,90234967,90381847,91109465,91407991,91431322,91523478,91846687,92211682,92537510,92635902,92867791,92879938,92958417,93569430,94103578,94436962,95332927,95547202,95780952,96164121,96164628,96230817,96485791,97209562,97396545,97541602,98206447,98206734,98850081,98981172,99199642,99347791,99772588,99807392,99965270,...,919583668577780916132155915117327883001110778115426456693290583566162377046846426755264079608934739167018962713284693731490347536143456684686849431854651345248125092921364529196951531279203367565568443087810347804632124094564823062747238489721519035603857992103756982553761343846378299174903748074113246320244467680902866012740850227679436330615404048008839189428135345301997161166241831447244117577674157129274622864617701679935441880011124606675956187806527422997292261176031938789347257882738280473811231062533139626356845693892995577626763214294921769412966877061619762878178967270966090380560958611937046063752020477159696730825715021789677597254702686947263014131854731897879452129465671865718234171014783266246868716158939160474368201123004918234183886176438919798457598662127660746650307989077742639445877327101790229409809122255430576393830643782787047801198108670576975835485603238064761464419585217081293834267297900781756937739345263973291141573497738714446213311750574001643851089050691566327313736110284356981255829629268096903459264170498559677992111367365730657482758733639133695623418185453020536197238418303396341560308550840545614211010936742572752791424978595956414212823435555152953516072047332175993238645408335875890655296383047035710060009896944143901882549447701595957472773814856502255427386831769363143500209202370380350033742808132392976794789086179553362713406198659186452780486207101948458931663650447203901290361400340103025881355222578744761581588283936117491513185912129213458053376726570496983547053059396247512859144535764629873107211675544688533091379461682265738898502058199258681447501975236125883909283301069457233687120819502567975425407277040062068669442327596244661456735890063892063723635209011188033918605863651496809519631563960020712835834863295863189862253822045955641058522128293579198178241516486277728877232378434088556818193200808263984459193952858792445317841109048536683578100100758171512573502899383038816533124981054134819847461901797351736945843581716474863316950540079180135739573191099056753395333863518101716047822395725153059238850882663893846425871408956868022906851370653313400449863571502305013446280317963792250167868970348720322978866858947959617281482272087750861769510715047391648680751990037043047892278808686530188139325644365706877747517203926954358720491061540352802448067777345815766860444245201686782094605994144693511607782139111762486227731259373758205428653121862361990053146269880570408053969758116934709191532022291784698809377517927900882433176113836900797750815678572553985781143478198770029850765244462756501847918304602346379065514047903670708761508897189550919714712939960945432249779724191763882432363099973387038238976415715358306558080271870750564654560364370899870340846067635437852598579367854377059869462737770872964009927467153467228628447668000729428342182623700576243031152136131631509923172626514703433764079716111568158590617847817593877490213171559836429210274697116598190198595456340978788181383960146234180768617412830367490378523392025280606503944777013026130855471507860149057116617677444907088337096222489864916280305420799995132350385694743546332150400801319362924248042728920639850365881812525081350494106865100975237313693378217566715522719173553428432423321008849866383407628669852683095112956581751590514098736933208981606405897584231397673309769884727482310362115450157661327659515353258259615670216005246775847114411851588925438141803744721086825716630246976318920798415962470467021974048703764985552618456362618103547145634504733409847069506551950427682160320564233303300513637377754311869631010988059057299906591540068610233406098298319911013470186707297782762477100667392453047848119937193541108951277665681042335426566956724839611157152526528601259947086817123367143683054989439425195071770480098838487479393912430532553174736085499671316486283365606168013111835433243741880544134384207784020192044480188412408361555338850010768312136578207353612167538621071427087008373157940059174041132601338245057933664931092870050504546168625469526479152009520799913549359242991575736752640869305533969862942975513011575687892579116971825067829745260584749090623462623543478106728276048896648155803051395833026787294162890386961909844716972003569978031201372746163777716534627109137491069751851164704076051028763492893751629514951173962421289807818555155179416050869144057841558806966934773645642569094169996326040340569135994822842706366227749026869245097444110315040270448752965214543480605137305860307718689690901394833275402211117895091141475726081133233907858484069854653963289786188777974194318427989297186066166647013499225246761190954651180033590512651343266549964048455628721152472573490250294109308695986342181361089768291676826918917462481388749309857303002228747026219884746420461083784535642118248392247085126164560780485278817703587105781433503277994479958903859401805567376833181402789065918556638147582328014457298}
30993 5868309728120934356347796264222670352584232079270485120351260831810214769095092688136112: {650643,774575,929490,991456,1115388,1208103,1703735,1765347,2044482,2632535,3035746,3159042,3747491,3806727,4336780,4918983,5204136,5474787,5636722,5854653,6195400,6969825,7271135,7325907,7434480,7930112,8015791,8052460,8363790,8725362,8921376,8989863,9539068,9662952,10036548,10098087,10870821,11451130,12127587,12472447,12680583,12864867,13627240,13741356,13785927,13954391,13970067,15330645,15994023,16352688,16521335,16729287,17293783,18396774,18626482,19825602,20356546,20637647,20949603,21107218,21132935,21499143,21748711,22763685,22950802,22975055,23335546,24141491,24243603,24281264,25270627,25359522,25522503,26070243,26609260,26982663,27049426,27099625,27316422,27433651,27570066,27574055,28805703,29080780,29266402,29724691,29765242,30244247,31591042,31899363,31931112,32444583,32519550,32786860,32978842,32989587,33088866,33881071,34308791,34687520,34896936,35520268,35922501,36436263,36448498,37797682,38370167,38713750,38918746,39023460,39190930,39259053,39344232,39490924,39512787,39693543,41625024,41946227,42221607,43143335,43590023,43744207,44116162,44262261,44456291,44530402,45130060,45221122,45645027,46456500,46828152,47029116,47510207,47623047,47702735,47802723,48021043,48190498,48401530,48404236,48613535,48837922,49303471,49418727,49553600,50371948,50743240,50938303,51391203,51772002,51961391,52644562,52681671,53539683,53727464,53846962,54156072,54612627,54791367,55613938,55729687,55747800,55810348,56150711,56584402,57086145,57243282,58081836,58336242,58539363,58629527,59464320,60414547,60443397,60517327,60651107,60822643,60891888,60925581,61451068,61565703,62099043,62716275,63213407,63428608,63608687,63614860,63965308,65223628,65294547,65301223,65850335,66897360,68193964,68503374,68560055,68601490,69768460,70433530,71309283,71357184,71651698,71708687,71824031,71956425,72050146,72300991,73069055,73249287,74028658,74306247,74330567,74496296,74730167,74846191,74870135,75010407,75259530,76337832,76753520,76954463,76985356,77120583,77471943,77881882,78054802,79020402,79227303,79366535,79578087,79630447,80104083,80276832,80834860,82272066,82321788,82539916,82905747,83722152,83808333,84520236,84750335,85880061,85883122,86203282,86235628,86347710,86889490,87331468,87466751,87482746,87541951,87682866,87787240,87968103,89164543,89380712,89844162,89894591,90311436,90591623,90879767,90903442,91015055,91125628,91927111,92104224,92606143,92663187,92740786,92917907,94187421,94239705,94311778,95239842,95437203,95956647,96564887,97001832,97262135,97662271,97669516,97745746,98153135,98358802,98532787,98760645,98910647,99414087,99771825,...,1379375502866671374198233872675991824501666167173139685039935875349243565570269640132896119413402108750528444069927040597235521304215185027030274147781977017872187639382046793795427296918805051348352664631715521706948186141847234594120857734582278553405786988155635473830642015769567448762355622111169869480366701521354299019111275341519154495923106072013258784142203017952995741749362747170866176366511235693911934296926552519903162820016686910013934281709791134495938391764047908184020886824107420710716846593799709439535268540839493366440144821442382654119450315592429644317268450906449135570841437917905569095628030715739545096238572532684516395882054030420894521197782097846819178194198507798577351256522174899370303074238408740711552301684507377351275829264658379697686397993191491119975461983616613959168815990652685344114713683383145864590745965674180571701797163005865463753228404857097142196629377825621940751400946851172635406609017895959936712360246608071669319967625861002465776633576037349490970604165426535471883744443902145355188896255747839516988167051048595986224138100458700543435127278179530804295857627455094512340462826260818421316516405113859129187137467893934621319235153332729430274108070998263989857968112503813835982944574570553565090014845416215852823824171552393936209160722284753383141080247654044715250313803555570525050614212198589465192183629269330044070109297988779679170729310652922688397495475670805851935542100510154538822032833868117142372382425904176237269778868193820187080065089855745475320579589094371269288716803646944809660817513317032799637069192523398608347753087298888022171252962854188825863924951604185850530681229253851963138110915560093103004163491394366992185103835095838095585452813516782050877908795477245214279447345940031069253752294943794784793380733068933461587783192440368797267362274729416593315848567651132835227289801212395976688790929288188667976761663572805025367150151137257268860254349074558224799687471581202229771192852696027605418765372574712294975425810118770203609359786648585130093000795277152574071733593587729588858276323995840769638807113435302034360277055979970100674795357253457520169420476945688375251803455523080484468300288421939425922223408131626292654266072571087473021127985055564571838418213029795282208988466548560316621275805890431538080736592310529203672101666018723650290666367802530173141908991217040267411673208667643729341596889060637308142979682793542985079719404820855612080954637175402063787298033437677048214066276891851323649764170755351196626223517858830978671715217298155044776147866694134752771877456903519568598271071855506063142263345784326379572069409941418148374669586287645823648544649960080557358464623573037459837120407806125846981840546556349805511269101453156778897869051781565589804194106656309446014891200730200842942671502001094142513273935550864364546728204197447264884758939772055150646119574167352237885926771726390816235319757339754643815412045674897285297893184511468182272075940219351271152926119245551235567785088037920909755917165519539196283207261790223585674926516167360632505644333734797374420458131199992698525578542115319498225601201979044386372064093380959775548822718787622025741160297651462855970540067326350073284078760330142648634981513274799575111443004779024642669434872627385771148105399813472409608846376347096509964654827091223465543173175236491991489273029887389423505324007870163770671617777383388157212705617081630238574945370464478381197623943705700532961073055647478328927684543927155320718451757100114770604259827925641523240480846349954950770456066631467804446516482088585949859887310102915350109147447479866520205280060946674143715651001088679571772179905790311663426916498521563503139850435087259416735728789792901889920630225685050715524582484159137792607655720148257731219090868645798829762104128249506974729425048409252019667753149865612820816201576311676030288066720282618612542333008275016152468204867311030418251307931607140630512559736910088761061698902007367586900497396639305075756819252938204289718728014281199870324038864487363605128961303958300954794414463269517363531838868675457737601744617890877123635935193935315217160092414073344972233704577093749540180941244335580442864767075458005354967046802059119245666574801940663706236604627776747056114076543145239340627444272426760943631934711727832732769124076303716086762338210450402160468463853641254994489060510853703992234264059549341623540303867646166165472560405673129447821815220907705958790461578034536352092249913103316676842636712213589121699850861787726104781980944934679283166961291477641983945779099249970520248837870141786431976770050385768977014899824946072683443081728708860235375441163963043979513272041634652437515240378376193722083123964785954503343120539329827119630691625676803463177372588370627689246841170727918226555380658672150254916991719938355789102708351065249772104183598877834957221373492021685947}
30994 5886239291463138057116230835421667206212332471309506299669486057679915838508867257912920: {340813,526609,712333,867524,1239320,1394235,1487184,1610804,1639873,1673082,2353796,2565613,2661614,2725976,3066723,3120193,3489553,3773582,4212056,4553619,4738563,5075636,5420975,5883373,6505170,6558644,6938848,7299716,7744250,7806204,8455083,8577134,8630353,9293100,9313982,9724609,9767876,9912640,10050254,10065575,11151720,11633816,11895168,11923835,11986484,12078690,12267793,12545685,12883936,12989582,13088043,13382064,13464116,14089454,14308602,14494428,15054822,15336973,16170116,16907444,17034050,17132653,17153156,17176695,18321808,18381236,18626756,19634509,19812673,20297582,20440860,20612034,21235393,21246106,21325364,21388814,21803584,22305716,24067009,24529032,25827409,26434136,26464094,26529553,26825534,27595161,27932804,27939723,28269854,28454509,28665524,29500813,29738403,30351580,30432014,30534819,31660827,31870574,32324804,33261575,33812696,34030004,34426203,34760324,35003319,35976884,36350975,36421896,36529982,36760088,37948609,38039283,38407604,39913890,40330513,40574139,40809374,40974633,40983575,41355099,42192109,42532484,42574816,43259444,43359400,43621170,43899603,43986116,44044993,44118488,44359694,44400335,44548813,44647863,44713934,45421982,46223533,46482974,46529248,46557613,47011531,47224909,47386563,47896668,48581684,48779325,48888109,48953582,49180290,49363655,49468263,49633299,49658174,49717009,51417134,51768494,52031280,52192909,52345404,52458976,52683716,52924724,53172494,53280402,53834509,54489133,54672747,55500032,56120653,56295476,56412575,56696523,57258433,58070625,58378119,58535190,58786395,59016348,59236386,60505295,60505694,60860036,61895294,61942000,62437536,62705488,62964935,63429050,63497396,63736964,64488493,65184259,65891636,65917009,66174243,66795603,66866113,67159330,67339693,67430654,67695090,67831683,68521604,69029336,69227533,69684750,69762935,69854509,70242228,70543674,70636609,71386244,72039853,72208096,72285747,72602295,72606354,72816836,73055156,73256883,73271582,73592173,74330400,75557922,76060909,76114860,76324376,76675213,76813835,77442448,77658003,77781656,78052484,78208123,78390782,78966843,79285760,79518575,79956635,80033293,80591196,80770443,81189184,81234108,81397009,81529535,81785582,82087604,82798724,83055853,83420907,83621700,83715522,84153374,84256813,84876603,85005073,85242455,85864923,86131067,87059396,87122754,87210575,87504363,87957058,88128109,88719373,89014573,89196480,89456833,90192493,90339409,91214414,91337832,92176602,92534509,93120370,94133953,94554494,95079044,95142912,95422290,95436109,95941900,95947962,96231695,97593409,97665716,97835442,98386871,99074996,99377239,...,1839167337155561832264311830234655766002221556230852913386581167132324754093692853510528159217869478334037925426569387462980695072286913369373698863709302690496250185842729058393903062558406735131136886175620695609264248189129646125494476979443038071207715984207513965107522687692756598349807496148226492640488935361805732025481700455358872661230808096017678378856270690603994322332483662894488235155348314258549245729235403359870883760022249213351912375613054845994584522352063877578694515765476560947622462125066279252713691387785991155253526428589843538825933754123239525756357934541932180761121917223874092127504040954319393461651430043579355194509405373894526028263709463795758904258931343731436468342029566532493737432317878320948736402246009836468367772352877839596915197324255321493300615978155485278891754654203580458819618244510861152787661287565574095602396217341153951670971206476129522928839170434162587668534595801563513875478690527946582283146995477428892426623501148003287702178101383132654627472220568713962511659258536193806918528340997119355984222734731461314965517467278267391246836370906041072394476836606792683120617101681091228422021873485145505582849957191912828425646871110305907032144094664351986477290816671751781310592766094071420120019793888287803765098895403191914945547629713004510854773663538726287000418404740760700067485616264785953589578172359106725426812397318372905560972414203896917863327300894407802580722800680206051762710445157489523163176567872234983026371824258426916106753453140993967094106118792495025718289071529259746214423351089377066182758923364531477797004116398517362895003950472251767818566602138914467374241639005135950850814554080124137338884655192489322913471780127784127447270418022376067837211727302993619039263127920041425671669726591726379724507644091911282117044256587158396356483032972555457754464756868177113636386401616527968918387905717584890635682218097073367156200201516343025147005798766077633066249962108269639694923803594703473891687163432949726633901080158360271479146382198113506790667727036203432095644791450306118477701765327787692851742817913736045813702741306626800899727143004610026892560635927584500335737940697440645957733717895919234562964544175501723539021430094783297361503980074086095784557617373060376278651288731413755495034407853908717440982123080705604896135554691631533720888490403373564189211988289387023215564278223524972455462518747516410857306243724723980106292539761140816107939516233869418383064044583569397618755035855801764866352227673801595501631357145107971562286956397540059701530488925513003695836609204692758131028095807341417523017794379101839429425879921890864499559448383527764864726199946774076477952831430716613116160543741501129309120728741799740681692135270875705197158735708754119738925475541745928019854934306934457256895336001458856684365247401152486062304272263263019846345253029406867528159432223136317181235695635187754980426343119672858420549394233196380397190912681957576362767920292468361537234825660734980757046784050561213007889554026052261710943015720298114233235354889814176674192444979729832560610841599990264700771389487092664300801602638725848496085457841279700731763625050162700988213730201950474627386756435133431045438347106856864846642017699732766815257339705366190225913163503181028197473866417963212811795168462795346619539769454964620724230900315322655319030706516519231340432010493551694228823703177850876283607489442173651433260493952637841596831924940934043948097407529971105236912725236207094291269009466819694139013103900855364320641128466606601027274755508623739262021976118114599813183080137220466812196596639822026940373414595565524954201334784906095696239874387082217902555331362084670853133913449679222314305053057202519894173634246734287366109978878850390143540960197676974958787824861065106349472170999342632972566731212336026223670866487483761088268768415568040384088960376824816723110677700021536624273156414707224335077242142854174016746315880118348082265202676490115867329862185740101009092337250939052958304019041599827098718485983151473505281738611067939725885951026023151375785158233943650135659490521169498181246925247086956213456552097793296311606102791666053574588325780773923819689433944007139956062402745492327555433069254218274982139503702329408152102057526985787503259029902347924842579615637110310358832101738288115683117613933869547291285138188339992652080681138271989645685412732455498053738490194888220630080540897505930429086961210274611720615437379381802789666550804422235790182282951452162266467815716968139709307926579572377555948388636855978594372132333294026998450493522381909302360067181025302686533099928096911257442304945146980500588218617391972684362722179536583353653837834924962777498619714606004457494052439769492840922167569071284236496784494170252329121560970557635407174211562867006555988959917807718803611134753666362805578131837113276295164656028914596}
30995 5904223320876793561985908355990658096224962675510649328559197729112309989018621860764880: {1084405,1301286,1549150,1858980,1982912,2013505,2230776,2385229,2416206,2509623,2942245,3407470,3530694,3685549,3992421,4088964,4428853,5265070,5660373,6071492,6318084,6344545,7494982,7613454,8198305,8673560,9124645,9757755,9837966,10179589,10408272,10949574,11273444,11616375,11709306,12209845,12390800,12865701,13939650,13970973,14542270,14635093,14651814,14868960,14983105,15075381,15257857,15860224,15994429,16031582,16104920,16372021,16491553,16727580,16830145,17450724,17842752,17979726,18032773,18118035,19078136,19325904,19461889,19484373,20073096,20196174,20212645,21134181,21134305,21441445,21462903,21563089,21741642,22060933,22582233,22902260,22976545,23129869,23283445,24255174,24713869,24821533,24944894,25361166,25551075,25729734,26018017,26656705,27254480,27482712,27571854,27882145,27908782,27940134,28530853,29167933,29586109,30446373,30661290,30918051,31869159,31988046,32083221,32165077,32705376,33042670,33458574,34587566,34916005,34988173,35207629,35743201,35831905,36793548,37252964,37939475,38372653,38603677,39651204,39696141,40238301,40406005,40546753,40713092,41275294,41899206,42214436,42265870,42404781,42537505,42998286,43368133,43450405,43497422,44459173,44971105,45346561,45527370,45648021,45901604,45950110,46671092,47805861,48009505,48282982,48487206,48562528,48718261,50541254,50719044,50786773,50922769,51045006,52140486,52539253,53165605,53218520,53754229,53965326,54074305,54098852,54199250,54496093,54632844,54794973,54867302,54982645,55140132,55148110,56132581,56154349,56610829,57200257,57611406,58161560,58532804,59449382,59530484,59870835,60400669,60488494,60727105,61214061,61328773,62756677,63182084,63798726,63862224,64889166,65039100,65400481,65431755,65573720,65854645,65957684,65979174,66155905,66177732,66539541,66607309,66783829,67070901,67762142,67995493,68058949,68132973,68617582,69289441,69375040,69724461,69793872,70369345,71040536,71424133,71678581,71713333,71828689,71845002,72872526,72872557,72896996,73128661,73430373,73770435,74487261,75595364,76075045,76740334,76800229,77125701,77263393,77427500,77652741,77837492,78046920,78089857,78375541,78381860,78518106,78688464,78981848,79025574,79371745,79387086,79456813,79671205,79758741,79920603,80202541,80273917,82364545,83250048,83892454,84443214,85652005,86286670,86834497,86865229,87180046,87488414,87802785,88232324,88524522,88854579,88912582,89060804,89232805,90260120,90442244,90758541,91021045,91290054,91318945,91555453,92190469,92426833,92842941,92913000,92923933,93564229,93656304,94058232,94279693,94902973,95020414,95143575,95246094,95405470,95605446,95755477,95984077,96042086,96380996,96803060,96808472,97227070,97244269,97565605,97675844,97756957,98606942,98837454,99107200,99838273,...,2758751005733342748396467745351983649003332334346279370079871750698487131140539280265792238826804217501056888139854081194471042608430370054060548295563954035744375278764093587590854593837610102696705329263431043413896372283694469188241715469164557106811573976311270947661284031539134897524711244222339738960733403042708598038222550683038308991846212144026517568284406035905991483498725494341732352733022471387823868593853105039806325640033373820027868563419582268991876783528095816368041773648214841421433693187599418879070537081678986732880289642884765308238900631184859288634536901812898271141682875835811138191256061431479090192477145065369032791764108060841789042395564195693638356388397015597154702513044349798740606148476817481423104603369014754702551658529316759395372795986382982239950923967233227918337631981305370688229427366766291729181491931348361143403594326011730927506456809714194284393258755651243881502801893702345270813218035791919873424720493216143338639935251722004931553267152074698981941208330853070943767488887804290710377792511495679033976334102097191972448276200917401086870254556359061608591715254910189024680925652521636842633032810227718258374274935787869242638470306665458860548216141996527979715936225007627671965889149141107130180029690832431705647648343104787872418321444569506766282160495308089430500627607111141050101228424397178930384367258538660088140218595977559358341458621305845376794990951341611703871084201020309077644065667736234284744764851808352474539557736387640374160130179711490950641159178188742538577433607293889619321635026634065599274138385046797216695506174597776044342505925708377651727849903208371701061362458507703926276221831120186206008326982788733984370207670191676191170905627033564101755817590954490428558894691880062138507504589887589569586761466137866923175566384880737594534724549458833186631697135302265670454579602424791953377581858576377335953523327145610050734300302274514537720508698149116449599374943162404459542385705392055210837530745149424589950851620237540407218719573297170260186001590554305148143467187175459177716552647991681539277614226870604068720554111959940201349590714506915040338840953891376750503606911046160968936600576843878851844446816263252585308532145142174946042255970111129143676836426059590564417976933097120633242551611780863076161473184621058407344203332037447300581332735605060346283817982434080534823346417335287458683193778121274616285959365587085970159438809641711224161909274350804127574596066875354096428132553783702647299528341510702393252447035717661957343430434596310089552295733388269505543754913807039137196542143711012126284526691568652759144138819882836296749339172575291647297089299920161114716929247146074919674240815612251693963681093112699611022538202906313557795738103563131179608388213312618892029782401460401685885343004002188285026547871101728729093456408394894529769517879544110301292239148334704475771853543452781632470639514679509287630824091349794570595786369022936364544151880438702542305852238491102471135570176075841819511834331039078392566414523580447171349853032334721265011288667469594748840916262399985397051157084230638996451202403958088772744128186761919551097645437575244051482320595302925711941080134652700146568157520660285297269963026549599150222886009558049285338869745254771542296210799626944819217692752694193019929309654182446931086346350472983982978546059774778847010648015740327541343235554766776314425411234163260477149890740928956762395247887411401065922146111294956657855369087854310641436903514200229541208519655851283046480961692699909901540912133262935608893032964177171899719774620205830700218294894959733040410560121893348287431302002177359143544359811580623326853832997043127006279700870174518833471457579585803779841260451370101431049164968318275585215311440296515462438181737291597659524208256499013949458850096818504039335506299731225641632403152623352060576133440565237225084666016550032304936409734622060836502615863214281261025119473820177522123397804014735173800994793278610151513638505876408579437456028562399740648077728974727210257922607916601909588828926539034727063677737350915475203489235781754247271870387870630434320184828146689944467409154187499080361882488671160885729534150916010709934093604118238491333149603881327412473209255553494112228153086290478681254888544853521887263869423455665465538248152607432173524676420900804320936927707282509988978121021707407984468528119098683247080607735292332330945120811346258895643630441815411917580923156069072704184499826206633353685273424427178243399701723575452209563961889869358566333922582955283967891558198499941040497675740283572863953540100771537954029799649892145366886163457417720470750882327926087959026544083269304875030480756752387444166247929571909006686241078659654239261383251353606926354745176741255378493682341455836453110761317344300509833983439876711578205416702130499544208367197755669914442746984043371894}
30996 5922261980867261872073153447913117928719814049777980041500497510576168286804805816020045: {402779,588563,681626,1053218,1424666,1454603,1735048,1825283,1951929,2323725,2478640,2788470,2974368,3181979,3221608,3279746,3346164,3624309,3920363,4227683,4707592,4841723,5111205,5131226,5148443,5296041,5323228,5451952,5516243,5944979,6133446,6240386,6862379,6979106,7167779,7350923,7547164,7589365,7897605,8265563,8424112,8691779,8995979,9107238,9421523,9477126,10151272,10635203,10816979,10841950,10998683,11242473,11420181,11766746,12811763,13010340,13117288,13414523,13534979,13877696,13956323,14091805,14257043,14599432,14617643,14756949,14857883,15218003,15337979,15488500,15612408,16424361,16655603,16693369,16910166,17154268,17260706,17312963,17563959,18028979,18446123,18586200,18627964,19449218,19535752,19825280,20100508,20131150,20407379,20525963,20703779,20909475,21813405,21977721,22005563,22303440,22477979,23267632,23362379,23790336,23847670,23972968,24047373,24157380,24421283,24535586,24949763,25091370,25767872,25829123,25887683,25979164,26004779,26176086,26414363,26589779,26706683,26764128,26928232,26969589,27290723,28165283,28178908,28617204,28627825,28988856,29038043,29502779,30109644,30294261,30372779,30673946,31414403,31991963,32340232,32612463,33374843,33547379,33719843,33814888,34068100,34265306,34306312,34353390,34695779,35554979,36382761,36643616,36762472,36811883,37253512,37417341,38008043,38041749,38594601,39269018,39370763,39625346,40502843,40595164,40881720,41224068,41357781,41688083,41863173,41910201,42082379,42194963,42251243,42470786,42492212,42650728,42777628,43094483,43607168,44611432,44887379,45445979,45724979,45892283,45991935,46115243,46566205,46950203,47228123,47283683,47394779,47982069,48134018,48614723,48780779,48946763,49058064,49564005,49609979,49775603,50051483,50187861,50891365,51262979,51654818,51881349,52196483,52251323,52768045,52868272,52928188,53059106,53182379,53651068,54383843,54547379,55190322,55865608,55879446,56178779,56539708,56909018,57262379,57331048,57377005,57424643,57640883,58338865,58450643,59001626,59476806,59688779,59849963,60333083,60703160,60864028,61069638,61457843,61671683,61912941,62098979,62160469,62792243,62848809,63321654,63398805,63430979,63537323,63741148,64333883,64492979,64497429,64649608,65128643,65246133,65287379,65815979,66238283,66523150,66870779,67028723,67239203,67623565,67625392,68027363,68060008,68291055,68342123,68446979,68604203,68852406,68925165,69075443,69109117,69232379,69520648,69598283,69859403,70006638,70172483,71317979,71953768,72424473,72511403,72701950,72718523,72730809,72843792,73059964,73166005,73520176,73648979,74061683,74413105,75039803,75809963,75811881,75897218,76066283,76078566,76117523,76373603,76567509,76578323,76731779,76815208,76885163,78109643,78210729,78364163,78977605,79785779,79827780,80661026,80947989,81148278,81150683,81298875,81402803,81618748,81705083,81949266,81967150,82157963,82300953,82447105,82459523,82710198,82722165,83212163,83963003,84384218,84707413,85064968,85149632,85210403,85956443,86417109,86518888,86718800,87242340,87799206,87972232,88089986,88150909,88183763,88236976,88627283,88719388,88800670,89020979,89097626,89174073,89295726,89365043,89427868,89659643,90247979,90345923,90394883,90732741,90843964,91121245,91372403,91567523,91957379,92443979,92447066,92965948,93058496,93115226,94023062,94140779,94449818,94494205,94773126,95202323,95443043,95491163,95698089,95793336,96643643,96784375,97163368,97170323,97296865,97333749,97361603,97558650,97648283,97668109,97776218,97907164,97977325,98360580,98727310,98936526,98968761,99266598,99316348,99434018,...,4138126508600014122594701618027975473504998501519419055119807626047730696710808920398688358240206326251585332209781121791706563912645555081090822443345931053616562918146140381386281890756415154045057993895146565120844558425541703782362573203746835660217360964466906421491926047308702346287066866333509608441100104564062897057333826024557463487769318216039776352426609053858987225248088241512598529099533707081735802890779657559709488460050060730041802845129373403487815175292143724552062660472322262132150539781399128318605805622518480099320434464327147962358350946777288932951805352719347406712524313753716707286884092147218635288715717598053549187646162091262683563593346293540457534582595523395732053769566524698110909222715226222134656905053522132053827487793975139093059193979574473359926385950849841877506447971958056032344141050149437593772237897022541715105391489017596391259685214571291426589888133476865822254202840553517906219827053687879810137080739824215007959902877583007397329900728112048472911812496279606415651233331706436065566688767243518550964501153145787958672414301376101630305381834538592412887572882365283537021388478782455263949549215341577387561412403681803863957705459998188290822324212994791969573904337511441507948833723711660695270044536248647558471472514657181808627482166854260149423240742962134145750941410666711575151842636595768395576550887807990132210327893966339037512187931958768065192486427012417555806626301530463616466098501604351427117147277712528711809336604581460561240195269567236425961738767283113807866150410940834428982452539951098398911207577570195825043259261896664066513758888562566477591774854812557551592043687761555889414332746680279309012490474183100976555311505287514286756358440550346152633726386431735642838342037820093207761256884831384354380142199206800384763349577321106391802086824188249779947545702953398505681869403637187930066372787864566003930284990718415076101450453411771806580763047223674674399062414743606689313578558088082816256296117724136884926277430356310610828079359945755390279002385831457722215200780763188766574828971987522308916421340305906103080831167939910302024386071760372560508261430837065125755410366569241453404900865265818277766670224394878877962798217713262419063383955166693715515254639089385846626965399645680949863827417671294614242209776931587611016304998056170950871999103407590519425726973651120802235019626002931188024790667181911924428939048380628955239158214462566836242863911526206191361894100313031144642198830675553970949292512266053589878670553576492936015145651894465134328443600082404258315632370710558705794813215566518189426790037352979138716208229824254445124008758862937470945633949880241672075393870719112379511361223418377540945521639669049416533807304359470336693607155344696769412582319968928338044673602190602528828014506003282427539821806652593093640184612592341794654276819316165451938358722502056713657780315179172448705959272019263931446236137024691855893679553534404546816227820658053813458778357736653706703355264113762729267751496558617588849621785370670757024779548502081897516933001204392123261374393599978095576735626345958494676803605937133159116192280142879326646468156362866077223480892954388567911620201979050219852236280990427945904944539824398725334329014337073928008304617882157313444316199440417228826539129041289529893964481273670396629519525709475974467819089662168270515972023610491312014853332150164471638116851244890715724836111393435143592871831117101598883219166942434986783053631781465962155355271300344311812779483776924569721442539049864852311368199894403413339549446265757849579661930308746050327442342439599560615840182840022431146953003266038715316539717370934990280749495564690509419551305261778250207186369378705669761890677055152146573747452477413377822967160444773193657272605937396489286312384748520924188275145227756059003259449596838462448604728935028090864200160847855837626999024825048457404614601933091254753923794821421891537679210730266283185096706022102760701492189917915227270457758814612869156184042843599610972116593462090815386883911874902864383243389808552090595516606026373212805233853672631370907805581805945651480277242220034916701113731281248620542823733006741328594301226374016064901140406177357736999724405821991118709813883330241168342229629435718021882332817280282830895804135183498198307372228911148260287014631351206481405391560923764983467181532561111976702792178648024870620911602938498496417681217019388343465445662723117876371384734103609056276749739309950030527910136640767365099552585363178314345942834804037849500883874432925951837337297749911560746513610425359295930310151157306931044699474838218050329245186126580706126323491889131938539816124903957312545721135128581166249371894357863510029361617989481358892074877030410389532117765111883067740523512183754679666141976016450764750975159815067367308125053195749316312550796633504871664120476065057841}
30997 5940355436433907238137216793649738540476932084544016703235818481098479436008050338606487: {1022439,1518167,1579827,2136999,2168810,2602572,2818907,3098300,3717960,3965824,4027010,4119143,4182705,4461552,4770458,4832412,4919619,5019246,5234099,5884490,6654035,6814940,7061388,7371098,7696839,7984842,8177928,8857706,8882363,9200169,9360579,9433955,10468659,10530140,11320746,11477627,12142984,12596243,12636168,12689090,12774503,13660857,14215689,14989964,15226908,16262925,16310123,16396610,17052899,17093783,17296019,17347120,17650119,18249290,18902507,19360625,19515510,19675932,20359178,20816544,20976347,21311459,21442835,21751523,21899148,22546888,22614947,23232750,23284955,23418612,23562203,24099923,24419690,24781600,25125635,25365249,25731402,25891059,26327387,27621383,27812363,27879300,27941946,28297703,29084540,29173827,29270186,29303628,29334539,29588027,29737920,29966210,30018023,30150762,30196725,30515714,30590759,31720448,31988858,32063164,32167163,32209840,32473955,32596823,32744042,32983106,33188963,33455160,33660290,34901448,35223635,35685504,35771505,35959452,36065546,36236070,36803379,37319387,37637055,38156272,38651808,38923778,38968746,39035003,39264129,39349703,40146192,40392348,40425290,41349659,42268362,42268610,42585125,42882890,42925806,43110023,43126178,43483284,44121866,45164466,45349499,45804520,45953090,46010919,46259738,46566890,48510348,48882407,49427738,49643066,49889788,50164667,50722332,50743955,51102150,51397959,51459468,51530085,52036034,52542659,53115265,53241683,53313410,53472035,54508960,54965424,55143708,55764290,55817564,55880268,56568407,56913683,57061706,57154439,57203963,58335866,58903527,59172218,59438019,59552507,60830567,60892746,61322580,61836102,62760743,62959547,63706179,63738318,63929699,63976092,64166442,64330154,65410752,66085340,66160235,66611627,66903707,66917148,67063835,67213307,69175132,69832010,69910859,69976346,70415258,70674635,71486402,71663810,72201027,72479459,72877283,73133399,73587096,74431847,74443463,74505928,75461639,75704027,75878950,76080035,76583747,76745306,76975703,77207354,77476883,77482227,79138043,79302408,79392282,79588659,79676435,80279123,80476602,80812010,81032339,81093506,81426184,81445799,82550588,82785483,83798412,83819169,84410339,84428872,84531740,84809562,85017947,85075010,85363527,85393907,85996572,86736266,86840123,86900810,86994844,87276899,88502439,88918346,89215209,89942210,90265163,90693122,90763907,91054740,91296042,91324955,91604457,91803208,91900220,92196503,92618267,92823083,93342184,94982481,95578439,95611722,96019010,96565964,96935459,96974412,97125056,97436522,97545299,98517083,99784725,...,5517502011466685496792935490703967298006664668692558740159743501396974262281078560531584477653608435002113776279708162388942085216860740108121096591127908071488750557528187175181709187675220205393410658526862086827792744567388938376483430938329114213623147952622541895322568063078269795049422488444679477921466806085417196076445101366076617983692424288053035136568812071811982966997450988683464705466044942775647737187706210079612651280066747640055737126839164537983753567056191632736083547296429682842867386375198837758141074163357973465760579285769530616477801262369718577269073803625796542283365751671622276382512122862958180384954290130738065583528216121683578084791128391387276712776794031194309405026088699597481212296953634962846209206738029509405103317058633518790745591972765964479901847934466455836675263962610741376458854733532583458362983862696722286807188652023461855012913619428388568786517511302487763005603787404690541626436071583839746849440986432286677279870503444009863106534304149397963882416661706141887534977775608581420755585022991358067952668204194383944896552401834802173740509112718123217183430509820378049361851305043273685266065620455436516748549871575738485276940613330917721096432283993055959431872450015255343931778298282214260360059381664863411295296686209575744836642889139013532564320990616178861001255214222282100202456848794357860768734517077320176280437191955118716682917242611690753589981902683223407742168402040618155288131335472468569489529703616704949079115472775280748320260359422981901282318356377485077154867214587779238643270053268131198548276770093594433391012349195552088685011851416755303455699806416743402122724917015407852552443662240372412016653965577467968740415340383352382341811254067128203511635181908980857117789383760124277015009179775179139173522932275733846351132769761475189069449098917666373263394270604531340909159204849583906755163717152754671907046654291220101468600604549029075441017396298232899198749886324808919084771410784110421675061490298849179901703240475080814437439146594340520372003181108610296286934374350918355433105295983363078555228453741208137441108223919880402699181429013830080677681907782753501007213822092321937873201153687757703688893632526505170617064290284349892084511940222258287353672852119181128835953866194241266485103223561726152322946369242116814688406664074894601162665471210120692567635964868161069646692834670574917366387556242549232571918731174171940318877619283422448323818548701608255149192133750708192856265107567405294599056683021404786504894071435323914686860869192620179104591466776539011087509827614078274393084287422024252569053383137305518288277639765672593498678345150583294594178599840322229433858494292149839348481631224503387927362186225399222045076405812627115591476207126262359216776426625237784059564802920803371770686008004376570053095742203457458186912816789789059539035759088220602584478296669408951543707086905563264941279029359018575261648182699589141191572738045872729088303760877405084611704476982204942271140352151683639023668662078156785132829047160894342699706064669442530022577334939189497681832524799970794102314168461277992902404807916177545488256373523839102195290875150488102964641190605851423882160269305400293136315041320570594539926053099198300445772019116098570677739490509543084592421599253889638435385505388386039858619308364893862172692700945967965957092119549557694021296031480655082686471109533552628850822468326520954299781481857913524790495774822802131844292222589913315710738175708621282873807028400459082417039311702566092961923385399819803081824266525871217786065928354343799439549240411661400436589789919466080821120243786696574862604004354718287088719623161246653707665994086254012559401740349037666942915159171607559682520902740202862098329936636551170430622880593030924876363474583195319048416512998027898917700193637008078671012599462451283264806305246704121152266881130474450169332033100064609872819469244121673005231726428562522050238947640355044246795608029470347601989586557220303027277011752817158874912057124799481296155457949454420515845215833203819177657853078069454127355474701830950406978471563508494543740775741260868640369656293379888934818308374998160723764977342321771459068301832021419868187208236476982666299207762654824946418511106988224456306172580957362509777089707043774527738846911330931076496305214864347049352841801608641873855414565019977956242043414815968937056238197366494161215470584664661890241622692517791287260883630823835161846312138145408368999652413266707370546848854356486799403447150904419127923779738717132667845165910567935783116396999882080995351480567145727907080201543075908059599299784290733772326914835440941501764655852175918053088166538609750060961513504774888332495859143818013372482157319308478522766502707213852709490353482510756987364682911672906221522634688601019667966879753423156410833404260999088416734395511339828885493968086743788}
30998 5958503853071572097517088362731082787990622520221159415830686834414130690033961018596634: {805558,1177126,1363252,1887157,2072377,2106436,2849332,2909206,3253215,3470096,3650566,3872875,3903858,3920617,4289401,4647450,4842037,4957280,5576940,5577877,5948736,6040515,6363958,6443216,6559492,6692328,7155687,7248618,7412437,7528869,7840726,8327017,8455366,8518675,8826735,9415184,9683446,10222410,10262452,10296886,10332757,10592082,10625111,10646456,10696501,10903904,11032486,11056647,11241577,11889958,11977263,12266892,12480772,12872917,13162675,13286559,13415401,13724758,13958212,14335558,14701846,15094328,15178730,15795210,16531126,16848224,16981119,17373817,17383558,17991958,18214476,18447337,18737455,18843046,18954252,19033635,19161577,19728527,20302544,20942137,21270406,21633958,21683900,21997366,22007017,22361401,22484946,22840362,22892437,23533492,23776057,24481657,24594915,25010101,25623526,25889401,26020680,26234576,26829046,27069958,27292537,27373935,27755392,27912646,28183610,28514086,29198864,29235286,29273265,29513898,29715766,30258901,30436006,30538767,30675958,30977000,31127401,31224816,31474297,32848722,33311206,33377077,33386738,33820332,34308536,34521412,34625926,34849125,35127918,36057958,36355675,36629535,36814357,36892246,37172400,37255928,38597103,38898436,39071504,39373417,39650560,40078955,40201016,40262300,40814758,41051926,41407558,41409001,41818950,41912919,42254101,43434217,43626810,43905279,43955442,44011126,44606880,44949315,44955958,45226143,45773571,46535264,46724758,46953397,47286901,47580672,47695340,47945936,47983287,48094746,48314760,48842566,49071172,49116063,49474659,49899526,50182740,50490435,51101497,51535744,51658246,51775366,51925717,51958328,52009558,52254901,52352172,52828726,53179558,53404777,53413366,53528256,53856464,53939178,54098319,54223957,54354105,54387577,54581446,56330566,56357816,57234408,57255650,57977712,58076086,58385667,58453119,59005558,60219288,60390901,60588522,60637935,60745558,61347892,61515577,62316757,62362235,62828806,63402543,63402915,63983926,64324335,64388709,64391401,64680464,64689267,65186101,65192687,65224926,65662057,66182799,66295657,66749686,67086037,67094758,67439686,67629776,67746699,67874617,68032117,68136200,68530612,68612624,68706780,68929635,69389607,69391558,69771955,69850335,71109958,71247911,71790517,72568297,72765522,73287232,73524944,73623766,73875263,74141607,74464599,74507024,74834682,75045097,76016086,76083498,76122901,76653225,76890601,77189202,78054051,78538036,78741526,78878197,79250692,79970115,80327807,81005686,81156457,81190328,81674411,81763440,81912277,82448136,82606675,82715562,83268217,83376166,83646435,83726346,83820402,84018997,84164758,84389926,84502486,84917557,84941572,84984424,85301456,85555256,85592559,85962601,86188966,86468915,87214336,87503799,88485877,88758327,89222864,89774758,90401401,90891958,91339119,91427797,91449958,91574137,91784566,91983870,92230486,92754153,93132410,93900406,94456246,94567366,94672991,94789558,95209237,95498101,95607477,95964138,96249663,96268036,96495231,96506857,96650677,97225237,97229446,97561558,97893526,97941817,98116128,99128010,99219958,99369577,99511957,99551206,...,8276253017200028245189403236055950947009997003038838110239615252095461393421617840797376716480412652503170664419562243583413127825291110162181644886691862107233125836292280762772563781512830308090115987790293130241689116851083407564725146407493671320434721928933812842983852094617404692574133732667019216882200209128125794114667652049114926975538636432079552704853218107717974450496176483025197058199067414163471605781559315119418976920100121460083605690258746806975630350584287449104125320944644524264301079562798256637211611245036960198640868928654295924716701893554577865903610705438694813425048627507433414573768184294437270577431435196107098375292324182525367127186692587080915069165191046791464107539133049396221818445430452444269313810107044264107654975587950278186118387959148946719852771901699683755012895943916112064688282100298875187544475794045083430210782978035192782519370429142582853179776266953731644508405681107035812439654107375759620274161479648430015919805755166014794659801456224096945823624992559212831302466663412872131133377534487037101929002306291575917344828602752203260610763669077184825775145764730567074042776957564910527899098430683154775122824807363607727915410919996376581644648425989583939147808675022883015897667447423321390540089072497295116942945029314363617254964333708520298846481485924268291501882821333423150303685273191536791153101775615980264420655787932678075024375863917536130384972854024835111613252603060927232932197003208702854234294555425057423618673209162921122480390539134472851923477534566227615732300821881668857964905079902196797822415155140391650086518523793328133027517777125132955183549709625115103184087375523111778828665493360558618024980948366201953110623010575028573512716881100692305267452772863471285676684075640186415522513769662768708760284398413600769526699154642212783604173648376499559895091405906797011363738807274375860132745575729132007860569981436830152202900906823543613161526094447349348798124829487213378627157116176165632512592235448273769852554860712621221656158719891510780558004771662915444430401561526377533149657943975044617832842680611812206161662335879820604048772143520745121016522861674130251510820733138482906809801730531636555533340448789757755925596435426524838126767910333387431030509278178771693253930799291361899727654835342589228484419553863175222032609996112341901743998206815181038851453947302241604470039252005862376049581334363823848857878096761257910478316428925133672485727823052412382723788200626062289284397661351107941898585024532107179757341107152985872030291303788930268656887200164808516631264741421117411589626431133036378853580074705958277432416459648508890248017517725874941891267899760483344150787741438224759022722446836755081891043279338098833067614608718940673387214310689393538825164639937856676089347204381205057656029012006564855079643613305186187280369225184683589308553638632330903876717445004113427315560630358344897411918544038527862892472274049383711787359107068809093632455641316107626917556715473307413406710528227525458535502993117235177699243570741341514049559097004163795033866002408784246522748787199956191153471252691916989353607211874266318232384560285758653292936312725732154446961785908777135823240403958100439704472561980855891809889079648797450668658028674147856016609235764314626888632398880834457653078258082579059787928962547340793259039051418951948935638179324336541031944047220982624029706664300328943276233702489781431449672222786870287185743662234203197766438333884869973566107263562931924310710542600688623625558967553849139442885078099729704622736399788806826679098892531515699159323860617492100654884684879199121231680365680044862293906006532077430633079434741869980561498991129381018839102610523556500414372738757411339523781354110304293147494904954826755645934320889546387314545211874792978572624769497041848376550290455512118006518899193676924897209457870056181728400321695711675253998049650096914809229203866182509507847589642843783075358421460532566370193412044205521402984379835830454540915517629225738312368085687199221944233186924181630773767823749805728766486779617104181191033212052746425610467707345262741815611163611891302960554484440069833402227462562497241085647466013482657188602452748032129802280812354715473999448811643982237419627766660482336684459258871436043764665634560565661791608270366996396614744457822296520574029262702412962810783121847529966934363065122223953405584357296049741241823205876996992835362434038776686930891325446235752742769468207218112553499478619900061055820273281534730199105170726356628691885669608075699001767748865851903674674595499823121493027220850718591860620302314613862089398949676436100658490372253161412252646983778263877079632249807914625091442270257162332498743788715727020058723235978962717784149754060820779064235530223766135481047024367509359332283952032901529501950319630134734616250106391498632625101593267009743328240952130115682}
30999 5976707396772056389405578067704903670953653254706358978543725885824684547073691654873677: {1208337,1704065,1765689,2044878,2633045,3036334,3159654,3561665,3748217,4273998,4337620,4363809,5205144,5475849,5637814,5791577,5855787,6196600,6971175,7435920,7931648,8054020,8199365,8238286,8365410,8923104,9315649,9540916,9545937,9664824,9839238,10038492,10468198,10872927,11761089,11768980,12683049,12828065,13207537,13308070,13629880,14122776,14525169,14742196,14886469,15333615,15393678,15445329,15600965,15888123,15969684,15996497,16355856,16548729,17447765,17715412,17764726,17834937,18228961,18400338,18721158,18867910,20587137,20937318,21060280,21503337,21565877,22052769,22641492,22768095,22955254,23692815,24285968,24796689,25192486,25272336,25275529,25378180,25549006,26021381,26075337,26987937,27104875,27321714,28264569,28431378,29416865,29730457,29979928,30019969,30453816,31905609,32450937,32525850,32598937,32620246,32793220,32996049,33727419,34105798,34187566,34260543,34592038,34694240,35175889,35300238,35477857,36346937,36498580,37309577,37805014,38435289,38721250,39031020,39351864,40243569,40604937,40718356,41633088,41868969,41952694,42275415,42622918,42771129,42885670,43151765,43503046,43798296,43852929,44270847,44573649,45093776,45229894,45463537,45654009,46013937,46465500,46492457,46569910,46741109,46837224,47124406,48199846,48623045,48839380,49273083,49313089,49563200,49966809,50080107,50251270,50327875,50545121,50730498,50948209,51462804,51782118,51938889,52654774,52691877,52888721,53022677,54086937,55242766,55338369,55624726,55758600,55883892,56595406,58169080,58347654,58540372,58607256,58669078,58974737,59176054,59299349,59475840,59565497,59619175,59932420,60036046,60301524,60393450,60662921,61031428,61181518,61222137,61338965,61577889,62111337,62728425,62921989,63440896,63933841,63977716,64126328,64334326,64419680,64947910,65193646,65440215,65488084,65933163,65966212,66016689,66377926,66910320,67320580,67433937,68705177,69802896,70087137,70447270,71041537,71371008,71543010,71918904,72131092,72142119,72472140,73263849,73606758,74361371,74448289,74638774,74849289,74860849,75274110,75968609,76312544,76684865,77303616,77487369,77663049,77847556,77937492,78014337,78070006,78528258,78699406,79243089,79703861,79769337,80120049,80292384,80784696,80850580,80908767,81451081,81872169,82699318,84495849,84536724,84537220,85170250,85663265,85666289,85765780,85851612,85883475,86220046,86252356,86778437,86966568,87114129,88243732,88448401,88508337,89181937,90328932,90415301,90609269,90698998,90882783,91118337,91563589,91609040,91906180,92021838,92519476,92624329,92829097,93133780,93733529,93889369,94243209,94915337,95440249,95975889,97020696,97173689,97764814,97837389,98172545,98855476,98944489,99063365,99286132,99779576,...,12414379525800042367784104854083926420514995504558257165359422878143192090132426761196065074720618978754755996629343365375119691737936665243272467330037793160849688754438421144158845672269245462135173981685439695362533675276625111347087719611240506980652082893400719264475778141926107038861200599000528825323300313692188691172001478073672390463307954648119329057279827161576961675744264724537795587298601121245207408672338972679128465380150182190125408535388120210463445525876431173656187981416966786396451619344197384955817416867555440297961303392981443887075052840331866798855416058158042220137572941261150121860652276441655905866147152794160647562938486273788050690780038880621372603747786570187196161308699574094332727668145678666403970715160566396161482463381925417279177581938723420079779157852549525632519343915874168097032423150448312781316713691067625145316174467052789173779055643713874279769664400430597466762608521660553718659481161063639430411242219472645023879708632749022191989702184336145418735437488838819246953699995119308196700066301730555652893503459437363876017242904128304890916145503615777238662718647095850611064165436347365791848647646024732162684237211045411591873116379994564872466972638984375908721713012534324523846501171134982085810133608745942675414417543971545425882446500562780448269722228886402437252824232000134725455527909787305186729652663423970396630983681899017112536563795876304195577459281037252667419878904591390849398295504813054281351441833137586135428009813744381683720585808701709277885216301849341423598451232822503286947357619853295196733622732710587475129777785689992199541276665687699432775324564437672654776131063284667668242998240040837927037471422549302929665934515862542860269075321651038457901179159295206928515026113460279623283770654494153063140426597620401154290048731963319175406260472564749339842637108860195517045608210911563790199118363593698011790854972155245228304351360235315419742289141671024023197187244230820067940735674264248448768888353172410654778832291068931832484238079837266170837007157494373166645602342289566299724486915962566926749264020917718309242493503819730906073158215281117681524784292511195377266231099707724360214702595797454833300010673184636633888394653139787257190151865500081146545763917268157539880896198937042849591482253013883842726629330794762833048914994168512852615997310222771558277180920953362406705058878008793564074372001545735773286817145141886865717474643387700508728591734578618574085682300939093433926596492026661912847877536798160769636011660729478808045436955683395402985330800247212774946897112131676117384439646699554568280370112058937416148624689472763335372026276588812412836901849640725016226181612157337138534083670255132622836564919007148249601421913078411010080821466034090308237746959906785014134020806571807586484043518009847282619465419957779280920553837777025383962830457948496355815076167506170140973340945537517346117877816057791794338708411074075567681038660603213640448683461974161440376335073209961120110065792341288187803254489675852766548865356112012271074338645506245692550799003613176369784123180799934286730206879037875484030410817811399477348576840428637979939404469088598231670442678863165703734860605937150659556708842971283837714833619473196176002987043011221784024913853646471940332948598321251686479617387123868589681893443821011189888558577128427923403457268986504811547916070831473936044559996450493414914350553734672147174508334180305430778615493351304796649657500827304960349160895344397886466065813901032935438338451330773709164327617149594556934104599683210240018648338797273548738985790926238150982327027318798681847520548520067293440859009798116145949619152112804970842248486694071528258653915785334750621559108136117009285672031165456439721242357432240133468901481334319580971817817812189467858937154245562772564825435683268177009778348790515387345814186805084272592600482543567512880997074475145372213843805799273764261771384464265674613037632190798849555290118066308282104476569753745681811373276443838607468552128530798832916349780386272446160651735624708593149730169425656271786549818079119638415701561017894112723416745417836954440831726660104750103341193843745861628471199020223985782903679122048194703421218532073210999173217465973356129441649990723505026688888307154065646998451840848492687412405550494594922116686733444780861043894053619444216174682771294950401544597683335930108376535944074611862734808815495489253043651058165030396336988169353629114154202310827168830249217929850091583730409922302095298657756089534943037828504412113548502651623298777855512011893249734682239540831276077887790930453471920793134098424514654150987735558379742118378970475667395815619448374711871937637163405385743498748115683073590530088084853968444076676224631091231168596353295335649203221570536551264038998425928049352294252925479445202101924375159587247948937652389900514614992361428195173523}
31000 5994966234025601261382831681873362028622805897055675795484469939471762238497817914174793: {526711,712471,898159,1611116,1825519,2354252,2726504,2751079,3067317,3305551,3774314,4043839,4144754,4212872,4554501,4596799,4739481,5422025,5698664,5818412,5884519,6068191,6410997,6506430,6940192,6985471,7301132,7745750,7807716,7841234,8456721,8578802,8997151,9294900,9544279,9684074,9914560,10067525,11153880,11155754,11897472,11926145,12081030,12357429,12548115,12727916,12886432,13118984,13384656,13536751,14078479,14311374,14497236,14711225,14758857,14824874,14979919,15057738,15339991,15519919,15681452,15702297,16654034,16910732,17037350,17315239,17653470,18427745,18830368,19366892,19816591,19962105,19994719,20444820,20524904,20528671,20593772,20665514,21184164,21250222,21292912,21393002,21807808,22064972,22113294,22144265,22483154,23090517,23779916,23954526,24071791,24533784,24961544,25305079,25745834,26008231,26232437,26325350,26534839,26573118,26647089,26710231,26830802,27411079,27449516,27600507,27916424,27935959,28081737,28285519,28301865,28634791,28671116,29158159,29403692,30188656,30357460,31405977,31590420,31722725,33062252,33696448,33962238,34432881,34700431,34747634,34767116,35216239,35983916,36428952,36894674,37443919,37474910,37686092,37788729,37908504,37956271,38067270,38126911,38323154,38323509,39457054,40508311,40605088,40982571,40991525,41884274,42200671,42369511,42540812,42647067,43267916,43367800,43994732,44014034,44221999,44722802,44969892,45623225,45680724,45784874,46232959,47066984,47067799,47401231,47552114,48067231,48788775,48898111,48930369,48963314,49189830,49727191,50020202,50897945,51158697,51247052,51281349,51778802,51888057,52041360,52469152,52950357,53658092,53845591,54139916,54500359,54585074,54663871,54747870,55510784,55825292,56110537,56367220,56707521,57028172,57270271,57432559,58081875,58397728,58470572,58546530,59027796,59051479,59431532,60517802,60663199,60872012,61049225,61077534,61351916,61466359,61787119,61954000,62254802,62449632,62929041,62948594,63546151,63934377,64328505,65254569,65697444,65930791,66622412,66754154,66773476,67038079,67353799,67511551,67640664,67844841,68141839,68456551,68617072,69042824,69251852,69698250,69712519,69854865,70182319,70255836,70686609,72115916,72299769,72711350,73175465,73259070,73607719,73628714,73784492,74344800,74511856,74915525,75376905,76095747,76230751,76289285,76691479,77194206,77673177,77796872,78143008,78680479,78746834,78982161,79301120,79442239,79898431,79972145,80157910,80402032,80524600,81565591,81629516,81860105,82103852,82457765,82815116,82818002,82864149,83224039,83437089,83637900,83825838,83974999,84150725,84508202,84893109,86068111,86868434,87253620,87307129,87521481,87810558,87910884,88003617,88022252,88738519,88764081,89181319,89213760,89476159,89898630,89911916,90054069,90163865,90211999,90358951,90452286,90590175,91385599,91547142,91772277,92554591,93070528,93449516,93573679,93906794,94573802,95023399,95161344,95312479,95390680,95891872,95966574,96033919,96189492,96501489,96629520,97309445,97421865,97680737,97685132,97790469,98142344,98232126,98473351,98949318,99566889,99799052,...,16552506034400056490378806472111901894019994006077676220479230504190922786843235681594753432960825305006341328839124487166826255650582220324363289773383724214466251672584561525545127563025660616180231975580586260483378233702166815129450292814987342640869443857867625685967704189234809385148267465334038433764400418256251588229335304098229853951077272864159105409706436215435948900992352966050394116398134828326943211563118630238837953840200242920167211380517493613951260701168574898208250641889289048528602159125596513274423222490073920397281737857308591849433403787109155731807221410877389626850097255014866829147536368588874541154862870392214196750584648365050734254373385174161830138330382093582928215078266098792443636890860904888538627620214088528215309951175900556372236775918297893439705543803399367510025791887832224129376564200597750375088951588090166860421565956070385565038740858285165706359552533907463289016811362214071624879308214751519240548322959296860031839611510332029589319602912448193891647249985118425662604933326825744262266755068974074203858004612583151834689657205504406521221527338154369651550291529461134148085553915129821055798196861366309550245649614727215455830821839992753163289296851979167878295617350045766031795334894846642781080178144994590233885890058628727234509928667417040597692962971848536583003765642666846300607370546383073582306203551231960528841311575865356150048751727835072260769945708049670223226505206121854465864394006417405708468589110850114847237346418325842244960781078268945703846955069132455231464601643763337715929810159804393595644830310280783300173037047586656266055035554250265910367099419250230206368174751046223557657330986721117236049961896732403906221246021150057147025433762201384610534905545726942571353368151280372831045027539325537417520568796827201539053398309284425567208347296752999119790182811813594022727477614548751720265491151458264015721139962873660304405801813647087226323052188894698697596249658974426757254314232352331265025184470896547539705109721425242443312317439783021561116009543325830888860803123052755066299315887950089235665685361223624412323324671759641208097544287041490242033045723348260503021641466276965813619603461063273111066680897579515511851192870853049676253535820666774862061018556357543386507861598582723799455309670685178456968839107726350444065219992224683803487996413630362077702907894604483208940078504011724752099162668727647697715756193522515820956632857850267344971455646104824765447576401252124578568795322702215883797170049064214359514682214305971744060582607577860537313774400329617033262529482842234823179252862266072757707160149411916554864832919297017780496035035451749883782535799520966688301575482876449518045444893673510163782086558676197666135229217437881346774428621378787077650329279875713352178694408762410115312058024013129710159287226610372374560738450369367178617107277264661807753434890008226854631121260716689794823837088077055725784944548098767423574718214137618187264911282632215253835113430946614826813421056455050917071005986234470355398487141482683028099118194008327590067732004817568493045497574399912382306942505383833978707214423748532636464769120571517306585872625451464308893923571817554271646480807916200879408945123961711783619778159297594901337316057348295712033218471528629253777264797761668915306156516165158119575857925094681586518078102837903897871276358648673082063888094441965248059413328600657886552467404979562862899344445573740574371487324468406395532876667769739947132214527125863848621421085201377247251117935107698278885770156199459409245472799577613653358197785063031398318647721234984201309769369758398242463360731360089724587812013064154861266158869483739961122997982258762037678205221047113000828745477514822679047562708220608586294989809909653511291868641779092774629090423749585957145249538994083696753100580911024236013037798387353849794418915740112363456800643391423350507996099300193829618458407732365019015695179285687566150716842921065132740386824088411042805968759671660909081831035258451476624736171374398443888466373848363261547535647499611457532973559234208362382066424105492851220935414690525483631222327223782605921108968880139666804454925124994482171294932026965314377204905496064259604561624709430947998897623287964474839255533320964673368918517742872087529331269121131323583216540733992793229488915644593041148058525404825925621566243695059933868726130244447906811168714592099482483646411753993985670724868077553373861782650892471505485538936414436225106998957239800122111640546563069460398210341452713257383771339216151398003535497731703807349349190999646242986054441701437183721240604629227724178797899352872201316980744506322824505293967556527754159264499615829250182884540514324664997487577431454040117446471957925435568299508121641558128471060447532270962094048735018718664567904065803059003900639260269469232500212782997265250203186534019486656481904260231364}